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**3 - 9195*r**2 - 3488*r?
408593388
Find the first derivative of 195051664*p**3 - 124954135.
585154992*p**2
What is the second derivative of 281292271*w**5 - 510*w - 780413 wrt w?
5625845420*w**3
What is the derivative of -63687318*u**3 + 562473557?
-191061954*u**2
What is the derivative of -95214738*c**2 + 8731439 wrt c?
-190429476*c
Find the second derivative of 3*x**3 + 9991986*x**2 + 30338174*x - 3 wrt x.
18*x + 19983972
Find the first derivative of 679*j**4 - 57858*j**3*k**2 + 165273892*k**2 + 3 wrt j.
2716*j**3 - 173574*j**2*k**2
Find the second derivative of 10468559*h**2 + 168384*h - 5.
20937118
Differentiate 121897106*d**2 + 99133476 with respect to d.
243794212*d
What is the second derivative of 1075406*l**3 + 170*l**2 - 2*l - 75651793 wrt l?
6452436*l + 340
What is the first derivative of -4*w**4 - 959839*w**3 + 16794031?
-16*w**3 - 2879517*w**2
Differentiate -34021230*q**4 + 15656616 wrt q.
-136084920*q**3
Find the third derivative of 12960721*n**3 - 5*n**2 + 21318*n + 13.
77764326
Find the third derivative of 59*o**5 - 102*o**4 + 9313*o**3 - 1534781920*o**2.
3540*o**2 - 2448*o + 55878
Differentiate -4179768*m**2*r + 3536405*m**2 wrt r.
-4179768*m**2
What is the second derivative of 56429776*m**5 - 50807987*m?
1128595520*m**3
What is the second derivative of -42150590*k**2 - 50925534*k?
-84301180
What is the third derivative of -13811*x*y**3 + 1692699*x*y**2*z + x*y**2 - 3*x*y*z - 136*y**4*z + 3*y**4 wrt y?
-82866*x - 3264*y*z + 72*y
What is the first derivative of -7225239*x + 8460038?
-7225239
Find the first derivative of 72912*j**2 + 831*j + 166853546.
145824*j + 831
What is the third derivative of 204*q**5 + 31445*q**4 + 2*q**3 + 14*q**2 + 76535*q - 9 wrt q?
12240*q**2 + 754680*q + 12
What is the derivative of 3651*p*w**2 + 519*p*w + p + 54253350*w**2 wrt p?
3651*w**2 + 519*w + 1
Find the second derivative of -91419126*m**2 - 162128943*m.
-182838252
Find the third derivative of 5*l*u*y**3 + l*u*y - 5*l*y**2 - 4621073*u*y**3 - 1755838*u*y**2 + u wrt y.
30*l*u - 27726438*u
Find the third derivative of 317297018*s**3 + 3136*s**2 - 30884*s wrt s.
1903782108
What is the third derivative of -16525*f*r**3 + 20*f*r + 356*r**3 + 1425730*r**2 wrt r?
-99150*f + 2136
What is the second derivative of 199836725*j**2 - 443399*j - 462 wrt j?
399673450
What is the derivative of -27*n**2 + 4783*n - 4781175 wrt n?
-54*n + 4783
What is the second derivative of 1993362*q**3 - 10453532*q?
11960172*q
What is the second derivative of 524854*c**3 + 3*c**2 + 98540997*c wrt c?
3149124*c + 6
Differentiate 1267*c**3*z - 167*c**3 - 6*c**2 - 4258*c*z**2 + 1020*c - 10 wrt z.
1267*c**3 - 8516*c*z
Find the second derivative of 535216*z**3 - 1981773*z.
3211296*z
What is the second derivative of 21203910*g**3 - 25824828*g wrt g?
127223460*g
What is the derivative of 132420*v**2 + 340*v - 26946351 wrt v?
264840*v + 340
What is the third derivative of -21436773*a**4*d + 357*a**2*d + 32*a*d + 2*a - 4*d wrt a?
-514482552*a*d
Find the third derivative of 3*f**5 + 380905960*f**4 + 13961*f**2 - 24*f - 149 wrt f.
180*f**2 + 9141743040*f
Find the third derivative of 5429*s**3*v**3 - 8*s**3*v**2 - 29*s**3 + 1153327*s**2 - 3*s*v**3 wrt s.
32574*v**3 - 48*v**2 - 174
Find the second derivative of -5*i**3*r**2 - 6*i**3*r*s + 7*i**3*r + 12088*i**2*r*s**3 - 14*i**2*r*s + 14374211*r**2*s**3 wrt r.
-10*i**3 + 28748422*s**3
What is the third derivative of 1520*g*p**2*u**3 - 24699*g*p**2*u**2 + 48*g*p**2 - 3*g*p*u**3 + 3*g*p*u**2 + 2*g*p + 38*u**3 wrt u?
9120*g*p**2 - 18*g*p + 228
Find the first derivative of -18988930*r + 32974737.
-18988930
What is the third derivative of -22*i**3*t + 2459236*i**3 - i**2*t + i**2 - 11059*i*t + 232*i - 2 wrt i?
-132*t + 14755416
What is the third derivative of 50193250*r**6 + 30912657*r**2?
6023190000*r**3
Find the third derivative of -4941*o**6 - 660*o**3 + 5848*o**2 - 357*o.
-592920*o**3 - 3960
What is the derivative of 9*r**4 + r**3 + 140062*r**2 + 237521658 wrt r?
36*r**3 + 3*r**2 + 280124*r
Find the first derivative of 838488*h*j - 7*h - 2841182*j + 2 wrt h.
838488*j - 7
Differentiate 1899*a*w - 21664971*a + 16911*w wrt w.
1899*a + 16911
Differentiate 1211*c*o**2 - 33*c*o - 10897*c + 90*o**2 + 151 wrt o.
2422*c*o - 33*c + 180*o
Differentiate 25*d*f**3 + 3*d*f**2 + 4*d*f - 28366*d - 774546644*f**3 with respect to d.
25*f**3 + 3*f**2 + 4*f - 28366
Find the second derivative of 56600901*q**2 - 18570*q - 1258.
113201802
Find the third derivative of -11*b*h**3*x + 377*b*h**3 - 8*b*h**2*x - 2479*b*h*x + 6*b*h - 25*h**3*x - 6*h**3 + 8*h**2 + 3*h wrt h.
-66*b*x + 2262*b - 150*x - 36
Find the third derivative of 15674662*t**3 - 4*t**2 + 21092*t - 4 wrt t.
94047972
Find the second derivative of -3*k**2*m**2*u + 1990961*k**2*u**3 - 4004*k*m**2*u**3 - 555*k*m*u - 26*m**2*u - m*u**3 wrt k.
-6*m**2*u + 3981922*u**3
What is the second derivative of -719466*c**5*o**2 - 57*c**2 + c*o**2 - 77*c + 38*o**2 + 2289*o wrt c?
-14389320*c**3*o**2 - 114
Find the second derivative of 3*v*w**2*y - 5633*v*w**2 - 10*v*w*y**2 - v*w*y - 54*v + 1345*w**2*y**2 + 6*w*y**2 - 41*y**2 wrt w.
6*v*y - 11266*v + 2690*y**2
Find the second derivative of -47*o**5 + 444981*o**4 - 6379*o + 1960 wrt o.
-940*o**3 + 5339772*o**2
Differentiate -32*u**2 + 186910*u + 24567638.
-64*u + 186910
Find the third derivative of 396812251*i**3 + 2*i**2 + 195091372.
2380873506
Find the second derivative of 10751*p**2*r**2*s - 14*p**2*r**2 - 60*p**2*r*s - 10*p**2 - 4*r**2*s - 18*r + 63*s wrt r.
21502*p**2*s - 28*p**2 - 8*s
Find the third derivative of -5593829*c*g**3 - 31*c*g**2 + 1199*c*g + 2*c - 16*g**4 + 46*g**2 - g + 2 wrt g.
-33562974*c - 384*g
Find the third derivative of 10398471*w**3*z**2 + 3*w**2*z**2 - w**2*z - 4*w*z**2 + 65*w*z + 354*z**2 wrt w.
62390826*z**2
What is the third derivative of -5*f**3*l**2 - 5083*f**3*l + 2*f**3 + 5208*f**2*l + 15*l**2 wrt f?
-30*l**2 - 30498*l + 12
What is the third derivative of 2*l**6 - 725*l**4 - 846*l**3 + l**2 - 23222414*l?
240*l**3 - 17400*l - 5076
What is the first derivative of -459*r**3 - 32*r**2 + 464*r*s - 13098*s + 3350 wrt r?
-1377*r**2 - 64*r + 464*s
Find the second derivative of -2905481*c**3*l**3 - c**2*l**2 + c*l**3 - 1081*c*l - 441 wrt c.
-17432886*c*l**3 - 2*l**2
Find the second derivative of 813326*f**2*n**3 - 27*f**2*n**2 - 2*f*n**3 - 3*f*n - n**2 - 18521*n - 6 wrt f.
1626652*n**3 - 54*n**2
What is the third derivative of 1412903*f**3*j**4 - 6455*f**3*j**2 + 9*f**3*j - 4*f*j**2 + 1 wrt j?
33909672*f**3*j
Find the third derivative of 47282812*o**6 + 3296*o**2 - 27*o + 41 wrt o.
5673937440*o**3
What is the third derivative of 6093642*b**3 - 3*b**2 - 348915*b?
36561852
Find the first derivative of -10870*n**3 - 1548*n - 144433751.
-32610*n**2 - 1548
Find the third derivative of -150046342*o**3*p*y**2 + 3*o**2*p*y**2 - 9*o**2*p + 2*o**2*y**2 + 2*o**2*y - 31*o*y**2 + p*y - 928 wrt o.
-900278052*p*y**2
Find the third derivative of -482663181*n**3*p*t**3 + 5*n**3*p*t**2 - 25*n**3*p*t - p*t - 63*p - 61 wrt t.
-2895979086*n**3*p
What is the second derivative of 15*i**3*v - 24*i**3 - 3365*i**2*v - 2*i**2 - 457839*i*v + 2*i + 2*v - 1 wrt i?
90*i*v - 144*i - 6730*v - 4
What is the third derivative of 4*k**6 - 15268646*k**5 + k**2 + 73474927*k?
480*k**3 - 916118760*k**2
Find the third derivative of -2*w**3*z**3 - 1387*w**3*z + 19*w**3 + 220370*w**2*z**3 - w*z**3 - 4*z**2 wrt z.
-12*w**3 + 1322220*w**2 - 6*w
What is the first derivative of -2677*m**2 - 27885*m - 97338546 wrt m?
-5354*m - 27885
What is the derivative of -h**3 - 30162*h**2 + 324*h - 43626211?
-3*h**2 - 60324*h + 324
What is the second derivative of 516419542*r*w**2 + 5*r*w + 461*r + 24094 wrt w?
1032839084*r
Find the first derivative of 2187*c*y**2 + 40*c*y + c + 12087*y**2 + 2*y - 148 wrt c.
2187*y**2 + 40*y + 1
What is the second derivative of -64770145*y**4 - 3748266*y wrt y?
-777241740*y**2
What is the derivative of 115*x**2 - 111940*x + 5014562?
230*x - 111940
Differentiate 14328210*n - 26988131 wrt n.
14328210
Find the third derivative of -2*c**4 + 18466594*c**3 - 2883*c**2 - 32*c - 2.
-48*c + 110799564
Find the third derivative of 6591814*u**3 + 64072*u**2 + 80*u wrt u.
39550884
What is the third derivative of 19416609*r**4 + 5440919*r**2?
465998616*r
What is the second derivativ | {
"pile_set_name": "DM Mathematics"
} |
1/5, to the nearest integer?
13
What is the square root of 211269 to the nearest integer?
460
What is the square root of 645374 to the nearest integer?
803
What is the third root of 165953 to the nearest integer?
55
What is the square root of 37700846 to the nearest integer?
6140
What is the cube root of 913621 to the nearest integer?
97
What is the sixth root of 362703 to the nearest integer?
8
What is the cube root of 836630 to the nearest integer?
94
What is 20217 to the power of 1/2, to the nearest integer?
142
What is 871654 to the power of 1/3, to the nearest integer?
96
What is 247467 to the power of 1/2, to the nearest integer?
497
What is the cube root of 9023174 to the nearest integer?
208
What is 219611 to the power of 1/2, to the nearest integer?
469
What is 2289298 to the power of 1/8, to the nearest integer?
6
What is the third root of 7869015 to the nearest integer?
199
What is the ninth root of 70854 to the nearest integer?
3
What is the third root of 23870 to the nearest integer?
29
What is the square root of 248331 to the nearest integer?
498
What is 891280 to the power of 1/9, to the nearest integer?
5
What is the square root of 1067670 to the nearest integer?
1033
What is the third root of 7259398 to the nearest integer?
194
What is the fourth root of 2987878 to the nearest integer?
42
What is the cube root of 1071012 to the nearest integer?
102
What is the square root of 2907156 to the nearest integer?
1705
What is the third root of 124250 to the nearest integer?
50
What is the square root of 2069599 to the nearest integer?
1439
What is the ninth root of 387599 to the nearest integer?
4
What is 23206491 to the power of 1/2, to the nearest integer?
4817
What is the fifth root of 13496715 to the nearest integer?
27
What is 2542451 to the power of 1/10, to the nearest integer?
4
What is the cube root of 1865361 to the nearest integer?
123
What is the square root of 1539493 to the nearest integer?
1241
What is 12821452 to the power of 1/5, to the nearest integer?
26
What is 10309967 to the power of 1/2, to the nearest integer?
3211
What is the tenth root of 2228147 to the nearest integer?
4
What is 8620800 to the power of 1/9, to the nearest integer?
6
What is 1479093 to the power of 1/10, to the nearest integer?
4
What is 11528893 to the power of 1/4, to the nearest integer?
58
What is 374712 to the power of 1/4, to the nearest integer?
25
What is 277721 to the power of 1/2, to the nearest integer?
527
What is 298806 to the power of 1/3, to the nearest integer?
67
What is 3685 to the power of 1/5, to the nearest integer?
5
What is 69203 to the power of 1/3, to the nearest integer?
41
What is 12049149 to the power of 1/10, to the nearest integer?
5
What is 2227170 to the power of 1/4, to the nearest integer?
39
What is the cube root of 10587 to the nearest integer?
22
What is the third root of 283550 to the nearest integer?
66
What is 3682142 to the power of 1/2, to the nearest integer?
1919
What is 934357 to the power of 1/3, to the nearest integer?
98
What is 185745 to the power of 1/10, to the nearest integer?
3
What is the third root of 92772 to the nearest integer?
45
What is 125391 to the power of 1/10, to the nearest integer?
3
What is the square root of 14880738 to the nearest integer?
3858
What is the cube root of 1864878 to the nearest integer?
123
What is the cube root of 1430971 to the nearest integer?
113
What is the fifth root of 320182 to the nearest integer?
13
What is the tenth root of 8795944 to the nearest integer?
5
What is the eighth root of 73241 to the nearest integer?
4
What is 5245569 to the power of 1/5, to the nearest integer?
22
What is 222212 to the power of 1/8, to the nearest integer?
5
What is 783451 to the power of 1/3, to the nearest integer?
92
What is the fourth root of 6322907 to the nearest integer?
50
What is the ninth root of 4723626 to the nearest integer?
6
What is 4954939 to the power of 1/2, to the nearest integer?
2226
What is 625583 to the power of 1/3, to the nearest integer?
86
What is 1105849 to the power of 1/3, to the nearest integer?
103
What is the fourth root of 4820344 to the nearest integer?
47
What is the seventh root of 243476 to the nearest integer?
6
What is the third root of 1164032 to the nearest integer?
105
What is 446693 to the power of 1/2, to the nearest integer?
668
What is 5822009 to the power of 1/10, to the nearest integer?
5
What is 1857604 to the power of 1/9, to the nearest integer?
5
What is the third root of 233532 to the nearest integer?
62
What is the fifth root of 19896305 to the nearest integer?
29
What is the ninth root of 1594430 to the nearest integer?
5
What is the sixth root of 8996299 to the nearest integer?
14
What is 90191 to the power of 1/9, to the nearest integer?
4
What is 17870 to the power of 1/8, to the nearest integer?
3
What is 611308 to the power of 1/2, to the nearest integer?
782
What is the fourth root of 1118653 to the nearest integer?
33
What is 14745 to the power of 1/2, to the nearest integer?
121
What is the square root of 108392 to the nearest integer?
329
What is 122853 to the power of 1/2, to the nearest integer?
351
What is the cube root of 84341 to the nearest integer?
44
What is the third root of 332050 to the nearest integer?
69
What is 16016358 to the power of 1/2, to the nearest integer?
4002
What is 93009 to the power of 1/2, to the nearest integer?
305
What is the eighth root of 863969 to the nearest integer?
6
What is 4200385 to the power of 1/4, to the nearest integer?
45
What is the ninth root of 1397307 to the nearest integer?
5
What is 15064640 to the power of 1/10, to the nearest integer?
5
What is the square root of 99390 to the nearest integer?
315
What is the third root of 83089 to the nearest integer?
44
What is 8697449 to the power of 1/6, to the nearest integer?
14
What is the tenth root of 1026978 to the nearest integer?
4
What is the cube root of 40133 to the nearest integer?
34
What is the fifth root of 565274 to the nearest integer?
14
What is the seventh root of 4589455 to the nearest integer?
9
What is the tenth root of 1654237 to the nearest integer?
4
What is the ninth root of 734041 to the nearest integer?
4
What is 20226801 to the power of 1/3, to the nearest integer?
272
What is 9587236 to the power of 1/2, to the nearest integer?
3096
What is the third root of 18469 to the nearest integer?
26
What is the square root of 835249 to the nearest integer?
914
What is 2651104 to the power of 1/3, to the nearest integer?
138
What is the fifth root of 2029594 to the nearest integer?
18
What is 164562 to the power of 1/2, to the nearest integer?
406
What is the ninth root of 215580 to the nearest integer?
4
What is the square root of 6433795 to the nearest integer?
2536
What is 258492 to the power of 1/2, to the nearest integer?
508
What is the eighth root of 211862 to the nearest integer?
5
What is 6178804 to the power of 1/2, to the nearest integer?
2486
What is 427546 to the power of 1/9, to the nearest integer?
4
What is 2090494 to the power of 1/2, to the nearest integer?
1446
What is 589068 to the power of 1/3, to the nearest integer?
84
What is the tenth root of 790372 to the nearest integer?
4
What is 68526 to the power of 1/10, to the nearest integer?
3
What is 3417875 to the power of 1/4, to the nearest integer?
43
What is the seventh root of 973961 to the nearest integer?
7
What is 29868635 to the power of 1/3, to the nearest integer?
310
What is the cube root of 7032568 to the nearest integer?
192
What is the third root of 4636413 to the nearest integer?
167
What is the seventh root of 78796 to the nearest integer?
5
What is 1927912 to the power of 1/2, to the nearest integer?
1388
What is the third root of 1101573 to the nearest integer?
103
What is 20871018 to the power of 1/4, to the nearest integer?
68
What is 16522206 to the power of 1/3, to the nearest integer?
255
What is 10664864 to the power of 1/10, to the nearest integer?
5
What is the ninth root of 58986 to the nearest integer?
3
What is the square root of 519582 to the nearest integer?
721
What is 307460 to the power of 1/5, to the nearest integer?
13
What is the tenth root of 34942112 to the nearest integer?
6
What i | {
"pile_set_name": "DM Mathematics"
} |
o?
True
Suppose -3*t = 1 + 8. Let s(d) = d**3 + 6*d**2 + 2*d + 1. Let u be s(t). Suppose 10 = 5*z, 5*a + 0*z = -z + u. Is 4 a factor of a?
True
Suppose 5*l = r - 35, -2*r + 5*l - 15 = -70. Is r a multiple of 4?
True
Suppose 2*l + 11 - 1 = 0. Does 15 divide (-2)/l - 118/(-5)?
False
Suppose 3*k - 3*f + 0*f - 72 = 0, -25 = -5*f. Is 9 a factor of 2/(-4) + k/2?
False
Suppose 6*w + 25 = w. Let t(c) = c + 9. Let u be t(w). Suppose -u*z = -3*z - 10. Is z a multiple of 5?
True
Let j = 81 + -139. Let i = j + 101. Is 11 a factor of i?
False
Let q(s) = s**3 + 4*s**2 - s + 2. Let u be q(-4). Let o(w) = w**2 + w - 6. Let t be o(u). Suppose -3*l - 39 = -3*d - 2*l, 0 = 3*d - 2*l - t. Does 9 divide d?
False
Suppose -2*b + 39 + 13 = 0. Is b a multiple of 14?
False
Let q = -7 + 12. Suppose 8*l = q*l + 81. Suppose 129 = 4*f - l. Is 13 a factor of f?
True
Suppose 0 = -4*n + j + 33, 4*n - n + 4*j = 20. Let c = 5 - n. Is 35*1 - (-6)/c a multiple of 11?
True
Let g(m) = m**2 - 2*m - 3. Let k be g(3). Let j be 1 - 0 - (1 - k). Does 12 divide 23 - (j + 1 + -2)?
True
Suppose -5*s + 98 = 4*u - 45, -137 = -4*u - 3*s. Is 13 a factor of u?
False
Let q = 3 + 2. Suppose 5*n + 6 = 5*d - 19, 29 = 4*d + q*n. Is 29 + 2/(d/9) a multiple of 11?
False
Suppose -5*d = -15, 2*d - 9 = 4*m + 5. Let n(j) = -2*j + 1. Let t be n(m). Suppose t*l = -2*f + 216, 7*l - 2*l - 5*f - 195 = 0. Does 15 divide l?
False
Let w = 137 + -98. Is w a multiple of 10?
False
Let k = -17 - -31. Is 2 a factor of k?
True
Let r(z) = 3*z**3 - 3*z**2 + 3. Is 41 a factor of r(4)?
False
Suppose 0*d + 12 = -2*d. Does 6 divide ((-12)/(-7))/(d/(-21))?
True
Let u(z) = 30*z - 2. Let x be u(-2). Suppose -g = -4*g + 12. Is 13 a factor of 1/2 - x/g?
False
Let v = 125 - 2. Is v a multiple of 11?
False
Let z(u) = -u**3 + 5. Let h be z(0). Suppose -v + 3*l = -l, h*l = -2*v + 26. Does 6 divide v?
False
Suppose -2*q + 1 + 7 = 0. Suppose -v - 5*j = 2 - q, 0 = 3*j. Let r(b) = 13*b - 2. Is 6 a factor of r(v)?
True
Suppose -448 - 280 = -2*a. Suppose -4*k = l - a, 91 = k - l + 2*l. Does 25 divide k?
False
Suppose -4*p = 2*u - 0*p - 288, -3*p - 668 = -5*u. Does 17 divide u?
True
Suppose 0 = -3*c - 2*v + 298, 3*c + 4*v - 297 = v. Is c a multiple of 4?
True
Let z be 1/(2*3/30). Suppose z*a - 15 = 2*a. Does 2 divide a?
False
Let j(h) = h - 9. Let i be j(14). Let a be ((-4)/(-2))/(2/73). Suppose -i*g = -27 - a. Is 10 a factor of g?
True
Let n be 4/6 + (-46)/6. Does 20 divide (-219)/n + 4/(-14)?
False
Let m(z) = z**3 - 21*z**2 + 3*z + 43. Is 23 a factor of m(21)?
False
Let r = 39 + 39. Suppose 0 = 6*q - 4*q - r. Does 20 divide q?
False
Let w = 19 + -13. Is 3 + 6/(-3 + w) even?
False
Let h(a) = -8*a**3 - 6*a**2 - 7*a + 2. Does 28 divide h(-2)?
True
Let p = -1 - -4. Let z(i) = -i + 2. Let x be z(p). Is 5 a factor of 2 + x + (13 - 4)?
True
Suppose 5*m - 35 = -2*l, -2*m - 5 = 3*m. Suppose s - 3*s = -l. Does 5 divide s?
True
Suppose g = -5*g + 144. Let f = 14 + g. Does 10 divide f?
False
Suppose -5*g = -20 + 230. Does 12 divide g/70 - (-88)/5?
False
Let q(d) = 36*d - 27. Is 18 a factor of q(4)?
False
Let u(v) = 2*v**2 - 3*v - 1. Does 6 divide u(5)?
False
Suppose 5*g - 6 + 21 = 0. Let x = g + 14. Is x a multiple of 3?
False
Let q = 120 + 9. Is 20 a factor of q?
False
Let d = -34 - -67. Suppose 5*c - 18 = 2*n - 1, -2*c = -4*n + 6. Let z = n + d. Does 15 divide z?
False
Let c(d) = d**2 - 2*d - 9. Let x be c(-7). Let s = 82 - x. Does 14 divide s?
True
Let y(v) = -v**2 - 6*v - 5. Let m be y(-4). Suppose 9 = m*d + 12. Is 9 a factor of 26 + 3 + d + -1?
True
Suppose -x + 0*x - 1 = 0. Does 14 divide ((-14)/(-5))/(x/(-10))?
True
Let m = 390 + -257. Is 26 a factor of m?
False
Let u(p) = p**3 + 5*p**2 - 8*p - 8. Let w be u(-6). Suppose -40 = -0*t - w*t. Does 9 divide t?
False
Let t(z) = 11*z**2 - z - 2. Is 7 a factor of t(2)?
False
Let t be (-1)/4 + 25/4. Suppose t*g = 2*q + 3*g - 91, 4*g - 170 = -5*q. Does 14 divide q?
False
Suppose -3*m + 5*u = 2*m - 70, -30 = -2*m + u. Is m a multiple of 16?
True
Suppose -3*d - 2*d + 220 = 0. Let l(t) = 5*t**2 - 2*t + 1. Let z be l(1). Suppose z*h = 20 + d. Does 8 divide h?
True
Is (-4 + (-368)/(-6) - 4)*3 a multiple of 20?
True
Suppose 14 + 22 = b. Is b a multiple of 36?
True
Let q = -75 - -42. Let u = 13 - q. Is u a multiple of 13?
False
Let i be 2/3 + 20/6. Let p(t) = -t**3 + 7*t**2 - 5*t + 3. Let r be p(6). Suppose r = i*k - 51. Does 8 divide k?
False
Suppose 0*m = 3*m - 822. Let d = m + -165. Is d a multiple of 24?
False
Suppose 259 + 77 = 4*p. Is p a multiple of 21?
True
Suppose 5*v - x + 0*x = 123, 18 = v + 2*x. Suppose 4*o - v = o. Is o a multiple of 3?
False
Suppose 3*u + s + 288 = -117, -3*s - 405 = 3*u. Is u/(-12) + 1/(-4) a multiple of 11?
True
Let o = -105 + 414. Is 45 a factor of o?
False
Suppose 0 = 5*c - 3*f + 21, -2*f = 5*c - 4*f + 24. Suppose -l - 60 = -6*l. Let j = c + l. Does 3 divide j?
True
Let l(u) = -u + 3. Let p be l(3). Suppose -v = -p*v + 3, 3*n = -2*v + 6. Let t(s) = s**3 - 2*s**2 - 5*s + 3. Does 5 divide t(n)?
True
Suppose -4*d = -5*o - 221, -o + d - 3*d - 47 = 0. Let q = o + 84. Is q a multiple of 13?
True
Let z = -19 - -49. Does 11 divide z?
False
Let j(b) = -1 + 3*b + 3*b - 3*b. Let v be j(4). Let h = 18 - v. Is 7 a factor of h?
True
Let a be (-1 + 1)/(3 + -4). Suppose -6 = 4*k - 22. Suppose 2*d - l + 5 = k*l, a = 2*d - 3*l - 1. Does 5 divide d?
True
Let j be (-1 + 3)/(-2)*-100. Is 9 a factor of (-3)/(-6)*j/2?
False
Let w be -1 - -3 - 1*-33. Let q = -50 + 31. Let l = w + q. Is 6 a factor of l?
False
Suppose 17*o - 5*o - 48 = 0. Is 4 a factor of o?
True
Let o = 51 + -5. Is o a multiple of 28?
False
Let a(z) = -7*z**3 + 2*z**2 + 2*z. Let t be a(-2). Suppose -s = -4*s + t. Is 11 a factor of s?
False
Suppose -5*x + 1123 = -4*u - 132, -2*u = -4*x + 1010. Is 17 a factor of x?
True
Suppose -x + 88 = 5*q, 0 = 2*x + x - 2*q - 264. Does 12 divide x?
False
Suppose 0 = -2*z + z + 4. Suppose 0 = v - 11 - z. Does 5 divide v?
True
Let u(b) = -b**3 + 11*b**2 - 11*b + 2. Let f be u(8). Suppose -i = i - f. Does 18 divide i?
False
Let a(x) be the first derivative of 10*x**4 - x**3/3 + x + 2. Is 20 a factor of a(1)?
True
Suppose -24 = -o + 2*j, 2*j = -2*o - 0*o + 42. Is o a multiple of 6?
False
Let q(x) = x - 2. Let l be q(1). Is 3 + l/(3/(-54)) a multiple of 9?
False
Suppose t = 67 + 8. Is 6 a factor of t?
False
Suppose -s + 431 = -2*y, 5*s - 10*s + 2165 = -5*y. Is s a multiple of 46?
False
Suppose 16 + 19 = -5*t. Let z = t + 12. Suppose -2*l = d - 15, -2*d + 5*l = -z - 7. Is d a multiple of 9?
False
Suppose 5*y = 10 + 15. Suppose -y*u + 20 = -30. Is 5 a factor of u?
True
Let m(q) = 2*q + q + q - 1 + 13*q. Is 5 a factor of m(1)?
False
Let s(j) = -j**2 - 7*j + 3. Let i be s(-7). Suppose f - 4 = -i. Is 4 a factor of (f - (2 - 3)) + 6?
True
Let k = 2 - 2. Suppose k = -3*t + 21 + 15. Let q = t - 7. Is q a multiple of 2?
False
Suppose 1 = 3*g - 5. Let m(a) = 0*a - g*a - 4 + 2 + 4*a**2. Is m(-2) a multiple of 18?
True
Let g(x) = 5*x**2 - 4*x + 3. Does 11 divide g(3)?
False
Suppose -4*f - v + 1008 = 0, 0*v = -2*f - v + 504. Is f a multiple of 36?
True
Suppose -4*u + 3*u = -10. Is u a multiple of 3?
False
Let r(o) = o - 6. Let m be r(6). Let z(f) = f**3 + f**2 + 45. Is 20 a factor of z(m)?
False
Suppose 0 = 2*q - q - 16. Is 9 a factor of q?
False
Let k(a) = a**3 - 5*a**2 - 6*a - 5. Let i be k(6). Let j = i - -9. Does 4 divide j?
True
Let c(f) = 2*f - 4. Let y be c(5). Let n be y*(1 - (-2)/(-4)). Is 2 + -1 + n + 11 a multiple of 15?
True
Let b = 7 + -3. Suppose -k = -b*y + 12, 3*y + 30 = -5*k + 8*y. Let h = k + 6. Is h even?
True
Suppose 17 + 0 = x. Is 9 a factor of x?
False
Let v = -1 - -9. Let d(h) = h**3 - 7*h**2 - 8*h - 4. Let b be d(v). Is 2 + (b + 3)*-29 a multiple of 15?
False
Suppose -2*a - 3 = -7. Let r be 24/20*15/6. Suppose a*g = -r*g + 110. Is g a multiple of 11?
True
Let t be (-384)/27 - 6/(-27). Is (-6)/21 - 102/t a multiple of 2?
False
Let y be 3 - 3/(-3) - 2. Suppose 0*f + y*f - 37 = -m, -f + 5*m + 46 = 0. Does 11 divide f?
False
Let s = -16 - -16. Suppose -4*m = -2*n - 135 - 217, -m - n + 82 = s. Is m a multiple of 24?
False
Is 52 a factor of 8/(-10)*-5*13?
True
Suppose -2*u + 3*u = 5*p - 1110, 3*p = -u + 674. Is p a multiple of 23?
False
Let z be 7*3*100/42. Suppose 7*t - 2*t - z = 0. Is 4 a fac | {
"pile_set_name": "DM Mathematics"
} |
(1031/180)
Simplify ((((j**(-1)*j)/j*j*j**(2/21))/(j/j**(3/7)*(j**(-12)*j)/j*j))**(-1/74))**47 assuming j is positive.
j**(-10387/1554)
Simplify ((x**3*x)**(-47))**(2/15)/((x**(-1)*x)**(4/11))**(1/22) assuming x is positive.
x**(-376/15)
Simplify ((((u*(u*u/(u*((((u/(u/u**(1/3))*u*u)/u)/u)/u)/u*u)*u)/u*u)**(-3/8))**42)**(-8))**(24/13) assuming u is positive.
u**(11088/13)
Simplify ((x/x**(-9)*x)/x**5*x**(-14)*x**(-4/11))**(-10/7) assuming x is positive.
x**(920/77)
Simplify ((c/((c**(-13/4)/c)/c)*(c/((c*(c/(c*c*c**(-11)*c))/c)/c)*c*c*c)/c)/(c**(-15)*c/(c/(c/(c*c**(-2/19)))*c)*c))**(-30) assuming c is positive.
c**(-18405/38)
Simplify ((((v*(v/v**(-2/3))/v)/v)**(1/29)*v**12/v*v/(v/(v**10*v)))**(-22))**(-5/13) assuming v is positive.
v**(210760/1131)
Simplify ((m*(m*m/m**(-18))/m)/(m*m**(-2/25)/m*m)*(m**(2/3))**0)**(6/7) assuming m is positive.
m**(2862/175)
Simplify (y**(-1)*y)**(-2/37)/(y**(-1)*y**6)*(y/y**(-9)*y**(-7))**(2/15) assuming y is positive.
y**(-23/5)
Simplify (r**(-13)/r**(-8/3))/(r**(-8/15)/(r**(-1/31)*r)) assuming r is positive.
r**(-1369/155)
Simplify ((w**(-1/2)*w*w)**(-38))**(6/5)*(((w*w*w**(-2/5)*w)/w*w)/w)**4/((w**(1/2)*w)/w*w**(-7)) assuming w is positive.
w**(-111/2)
Simplify ((s**(-2/11)*s)/s**(-1/4))**(-5/14)/(s**(-3/5)/s*s*((s/s**(2/9))/s)/s)**37 assuming s is positive.
s**(1858369/27720)
Simplify (z**(-37/2)/(z*z**34*z*z*z*z*z))/((z*z**(-26))/(z/(z/(z/z**43)))) assuming z is positive.
z**(-151/2)
Simplify (z**24)**(-2/15)*(z/z**(3/5)*z)/(z*z/(z/z**(4/3))) assuming z is positive.
z**(-62/15)
Simplify ((i**(6/17)*i*i*i**(-6/5)*i*i)/(i**(-2/13)/i**(-33)))**14 assuming i is positive.
i**(-459354/1105)
Simplify ((u/(u/(u*(u*u**(-2/5))/u))*(u**(-2/9)*u)/u)/(u**6/u*u*u/(u*(u*u*u/u**(-2/25))/u)*u))/((u**(-4)/u)/u**1)**(-3/11) assuming u is positive.
u**(-15292/2475)
Simplify ((o**(-1/4))**34*(o*o**4*o*o)/o**8)/(o**(5/3)*o**(-5/3)*((o**2*o)/o)**0) assuming o is positive.
o**(-19/2)
Simplify (d**0/d*d**12/d)**(-14)*(((d/(d**3*d))/d)**18)**39 assuming d is positive.
d**(-2948)
Simplify (d**(1/14)/d**(1/8)*d**(-11)*d**(-2/17))**(7/5) assuming d is positive.
d**(-2127/136)
Simplify ((l**(4/15))**(1/5)/((l/l**(2/17))/l)**39)**(1/48) assuming l is positive.
l**(2959/30600)
Simplify ((((k/k**5)**(-10/11))**(-7))**(-17))**(7/5) assuming k is positive.
k**(6664/11)
Simplify ((i/((i**(-2/23)*i*i*i)/i))/i*i**1)**9*(i*i*i**(4/5)*i*i*i*i/i**(-6/11))**(-17) assuming i is positive.
i**(-168359/1265)
Simplify (d*d**(2/13)*d*d**(-4/7))/((d*d**(-8)/d*d)/(d*d**(-1/3)/d))*((d*d**5*d)/(d*d/(d**(-3)*d)))**(1/10) assuming d is positive.
d**(23339/2730)
Simplify ((l**(-1))**(-8/3)*(l*l*l**2)/l**(-4))/((l/(l/l**7)*l/l**2)/(l**(-1)/l)**(2/17)) assuming l is positive.
l**(226/51)
Simplify ((((p*p**(-4))/p)/p*p*p**(1/2))/(p**(-1/2))**(-42))/(((p*p**(2/17))/p)/p**(-2/3))**(11/4) assuming p is positive.
p**(-2719/102)
Simplify (u**0*u/u**1*u**(-2)*u**(-1/5)/u)/((u/(u**(-2/3)/u)*u)**(5/8)*(u**0)**(-3/4)) assuming u is positive.
u**(-659/120)
Simplify (x**11/x*x/(x/(((x*x/x**22)/x)/x))*x**10/x**(10/11))**(-13) assuming x is positive.
x**(416/11)
Simplify ((n*n**(2/15)/n)**(-4)*(n*n**(-1/5))/(n/(n*n/n**(-2/9))))**4 assuming n is positive.
n**(268/45)
Simplify (p/(p*p**6)*p**(4/5)*p/p**3*p/(p/(p*p**(1/5))))/((p**(-1))**(-2/15)*(p*p/(p*p**(1/9)*p))/(p*p**1/p)) assuming p is positive.
p**(-226/45)
Simplify ((r/((r*r/(r/(r/(r**(-4/9)/r)*r)))/r))/r**(1/3)*r**(-8)/r**7)/(r*r**(-11)*r*r**0)**(-50) assuming r is positive.
r**(-4210/9)
Simplify ((i*((i*i**(-3)*i*i*i*i*i)/i)/i*i)**(5/4)/(i**17*i/i**2))**(-2/11) assuming i is positive.
i**(49/22)
Simplify (k**(-2/83))**(33/2)/((k**(6/7)/k)/k)**44 assuming k is positive.
k**(28985/581)
Simplify ((d/d**6)/d**(-3)*(d**(-2/3))**(-4))/((d*d**(-2/9))/d*d*(d/d**(-5))/d*(d**(-1)*d)**(7/3)) assuming d is positive.
d**(-46/9)
Simplify ((o*o**1)**(-13)/((o*o**(-2/5))/(o*o**(-7))))/((o/(o*o*o**0*o)*o*o*(o*o**(-4))/o)/(o**(2/3)*o**(-9))) assuming o is positive.
o**(-554/15)
Simplify ((s**(-20)*s/((((s**1*s*s)/s)/s)/s))/(s**(-6))**(-4/25))**(-1/28) assuming s is positive.
s**(499/700)
Simplify (d**(-2/5))**(-2/121)/(d/(((d*d*d*d**(-7))/d)/d)*d**(-2/9))*(d**(1/7)*d**(3/7))**(7/9) assuming d is positive.
d**(-11483/1815)
Simplify ((t/((t**(-1/6)/t)/t*t)*t)/t*t*t**(-3/2)*t)**(10/9)/(((t*t**(-1/6)/t)/t**(-3))/(t**(-3/4)*t**(-1/4))) assuming t is positive.
t**(-47/54)
Simplify ((g**(-1/2))**(-28/3)/((g*g*g**(2/9))/((g**6*g)/g*g)))/(g/g**(-1/2)*g*g**(2/7)*g*(g**0)**44) assuming g is positive.
g**(713/126)
Simplify ((h/(h/(h/(h**0*h))))**44)**(25/7)*(h*h**(-2/7)*h)**8*(h**(1/2)/h)**(-46) assuming h is positive.
h**(257/7)
Simplify ((g*g**(-8/5)*g*g**(-3))/(g**(-7)/(g**(1/15)*g)))/(((g*g**(-2/3))/g)**(1/5))**35 assuming g is positive.
g**(152/15)
Simplify (((s*s/(s/(s**4*s)*s))**(-1/72)*(s*s*s/(s*s/((s*s/(s**14*s))/s)))/s*((s**(-4)/s)/s)/s)**(5/3))**(-5/8) assuming s is positive.
s**(37925/1728)
Simplify (((y*y*(y/(y/y**7)*y)/y)/y*(y*y/(y*y/y**4)*y*y)/y)/(y/(y*y**0)*y/(y*y*y*y*(y**(3/7)/y)/y)*y))/((y**(2/5)/y)**(-1/15))**23 assuming y is positive.
y**(2189/175)
Simplify ((o**(-6)*o/(o/(o/(o/o**6*o))))/(o**(2/5)/o*o/(o*o**(-12/13))))**(-22) assuming o is positive.
o**(1892/65)
Simplify y**18*(y*y*y**(-12)*y*y)/y*(y**22/y)/y**(-2) assuming y is positive.
y**32
Simplify (((n/n**(-1/4))**(1/31)*n**(-1/7)/(n/(n*((((n/n**(-1/8))/n*n)/n)/n*n)/n)))**(1/26))**(5/9) assuming n is positive.
n**(-8485/406224)
Simplify (((n**(-6)/n)/n)/(n*(n*n**4)/n*n))**(1/46)*n/(n**(-3/2)/n)*n*n*n**0*(n**(2/9))**(2/163) assuming n is positive.
n**(350797/67482)
Simplify ((q**(-5)/(q**(1/5)/q*q*q))/(q**(-1)/q)**35)/((q**(1/3)/q*q*q/q**(-4))/((q*(q*q*q**(-2/5))/q)/q*q)**(3/11)) assuming q is positive.
q**(9719/165)
Simplify (v*v*(v*v/v**(-2/9)*v)/v*v*v**(3/2)*(v**(2/5)/v)**(-13))**(-2/59) assuming v is positive.
v**(-1307/2655)
Simplify (x**(-3/8)*x**(2/3))**(-7)/((((x**(-1)/x)/x)/x*x*x)/(x*x*x**(-2/11))*(x/(x**0*x*x))**(2/75)) assuming x is positive.
x**(3967/2200)
Simplify f**(-2/3)*f*f**(-20)*f**(19/5)*f*f*f**(-1)*f assuming f is positive.
f**(-208/15)
Simplify ((m*m**(-6))/(m/(m**(5/4)*m)))/(m/m**1)**(-2/51)*((m**(-1))**3)**(-3/11) assuming m is positive.
m**(-129/44)
Simplify (b**(3/5)/b**2)**(-1)*b/(b**(2/15)/b*b)*(b/(b/b**(2/7)*b*b))/b*b*(b/(b/(b**(2/7)*b)))**40 assuming b is positive.
b**(5458/105)
Simplify ((x*x*(x*x*x**1)/x*x)/(x**(2/9)*x*x))**(-3/5)*((x/x**(1/4))/x**(-4))**(-39) assuming x is positive.
x**(-2243/12)
Simplify ((m/(m/m**(-2/17)))**34*m**25/(m*m*m**(-1/29)))**(-1/10) assuming m is positive.
m**(-276/145)
Simplify k*k*k**6*k*k**5*k*(k/(k/k**(-1)))**(-1/25)*((k**(-2/17)*k)/((k/(k**0/k))/k*k))**44 assuming k is positive.
k**(-14508/425)
Simplify ((z**1*z)**(1/4))**(1/5)/((z/z**1)**(-2/13)*z**(-6/11)*(z*z**(1/2))/z) assuming z is positive.
z**(8/55)
Simplify ((v/(v/v**(-9)))/(v/(v/((v/v**(1/6)*v)/v))))**8/(v/(v/v**5)*v*(v*v*v**(-6)*v)/v*(v*v**(-2/19))/(v**(-1)/v)) assuming v is positive.
v**(-4763/57)
Simplify (i**3/(i*i**(-1)/i)*((i/i**(-5))/i*i)**(-39))**21 assuming i is positive.
i**(-4830)
Simplify (v**18/v)**(4/3)/(v**(5/4))**(-35) assuming v is positive.
v**(797/12)
Simplify ((k**(-2/3))**(-43))**(-6/5)/((k**1*k/k**4)/(k**(-2/7))**10) assuming k is positive.
k**(-1234/35)
Simplify (((x*(x*x**(5/2))/x*x*x**(1/7))/(x**(-7)/((x/(x/(x/(x/x**(-3/11)*x)))*x)/x)))**(3/28))**(-13) assuming x is positive.
x**(-62283/4312)
Simplify (k**(-1/7)/k**(-2/9))/((k/(k*k/(k*k*k*k**7*k)))/(k**(-3/4)/k))*((k*((k/k**2)/k)/k)/k**4)/(k*k**(-3/8)*k*k/k**(-5/4)) assuming k is positive.
k**(-10859/504)
Simplify (((b**(2/7))**(-30)/(b/(b*(b*b**7)/b)*b*b/(b*b**(-4/5))))**(2/7))**(14/9) assuming b is positive.
b**(-472/315)
Simplify w**(1/6)/w**2*(w/w**(3/8)*w)/(w*w**(-6))*((((((w**(-1/3)/w*w)/w)/w)/w)/w)**(-14))**(-18) assuming w is positive.
w**(-26093/24)
Simplify ((l**(-1))**18)**(19/4)/((l/l**2)**(5/6)/(l**(5/3)/l**(1/5))) assuming l is positive.
l**(-416/5)
Simplify (j**(-7)*j**0*j**(-6)/(j**(-6)/j))**(3/41) assuming j is positive.
j**(-18/41)
Simplify (z**7*z*z**(-13))**(-17/4)*(z/(z/(z*(z*z**2)/z))*z)**(-18)*z*z**(-4/7)/z*z*z*z*z**(-3/8) assuming z is positive.
z**(-2727/56)
Simplify ((s**1)**2)**(2/31)*(s/(s/s**(-1)))**(-33)/(s**(-1/4)*s**(-3/7)) assuming s is | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -98552*h**2*k**4 - 79*h**2*k - 3*h*k**4 - 10518*h*k**2 wrt k?
-2365248*h**2*k - 72*h*k
Differentiate 633*u**3 + 76*u**2 - 2*u - 2317950 with respect to u.
1899*u**2 + 152*u - 2
Find the third derivative of 539127*k**3*y**2 + 3*k**3*y + 15*k**2*y**2 + 126*k**2*y - 15*k wrt k.
3234762*y**2 + 18*y
Find the third derivative of -128155*u**6 - 3*u**5 + 2*u**2 + 1400*u - 2.
-15378600*u**3 - 180*u**2
Find the third derivative of t**4 - 449351*t**3 - 28000*t**2 - 3*t.
24*t - 2696106
Differentiate -1447*d**2*z - 90156*d**2 + 3*d*z + 7*z with respect to z.
-1447*d**2 + 3*d + 7
Find the second derivative of -447462*c**4 + 32374*c - 13.
-5369544*c**2
Find the second derivative of -3785789*c**2 - 589760*c - 1 wrt c.
-7571578
What is the derivative of 24592*q**4 - 4*q**3 - q - 1523695 wrt q?
98368*q**3 - 12*q**2 - 1
Find the second derivative of 29*n**3*o**2 - 4*n**3*o + 1205*n**3 + 82*n**2*o**2 + 2*n*o**2 wrt o.
58*n**3 + 164*n**2 + 4*n
What is the second derivative of -r**5 - 372879*r**4 - 2*r**2 + 1293*r - 67 wrt r?
-20*r**3 - 4474548*r**2 - 4
Find the first derivative of 48*r*z**2 + 10210*r*z + 4147926*z**2 wrt r.
48*z**2 + 10210*z
Find the second derivative of 1732*i**4 + 48*i**3 - 16562*i wrt i.
20784*i**2 + 288*i
Find the third derivative of -34014*d**6 + 22*d**5 + 4322061*d**2.
-4081680*d**3 + 1320*d**2
Differentiate -1554*h**3*w + 19*h**2 - 3132*w + 27 with respect to h.
-4662*h**2*w + 38*h
What is the first derivative of 347*k**4*y**2 + 7*k*y**3 + y**3 + 2*y**2 + 1468 wrt k?
1388*k**3*y**2 + 7*y**3
Find the second derivative of -2*q*w**2*z**3 - 15227*q*w**2*z**2 + q*w*z**3 + 2*q*z**3 + 7*w - 368*z**3 wrt w.
-4*q*z**3 - 30454*q*z**2
Differentiate 593933*k*p**3 + 918121*p**3 wrt k.
593933*p**3
What is the second derivative of -610689*x**5 + 753019*x?
-12213780*x**3
Find the first derivative of 432904*o**2 - 1184299.
865808*o
Find the third derivative of 226293*b**4 + 368359*b**2.
5431032*b
Differentiate 658223*v - 157968.
658223
Find the first derivative of 39505*h**3 - 30750.
118515*h**2
Find the second derivative of -119162*b**2 + 5119*b + 2.
-238324
What is the derivative of -41001*k*n**2 - 2*k*n - n**2 + 29*n - 366 wrt k?
-41001*n**2 - 2*n
What is the third derivative of 20223*c**4*j**3 + 44*c**4*j**2 + 2*c**2*j**3 - 10*c**2*j**2 + c*j**3 + 755*c*j**2 + c*j wrt c?
485352*c*j**3 + 1056*c*j**2
What is the third derivative of -1529638*i**3*n**6 + 30*i**3*n**2 - 733*i wrt n?
-183556560*i**3*n**3
What is the derivative of 81278*o**4 - 17931?
325112*o**3
What is the second derivative of -20970*a*c**2*j - 2*a*c*j + 21*a*c + a - 2*c**2*j - 62*c*j wrt c?
-41940*a*j - 4*j
What is the first derivative of -40*x**2 + 26800*x - 1811519?
-80*x + 26800
Find the second derivative of 135621*y**4 + 327593*y.
1627452*y**2
Differentiate u**4 - 5*u**3 - 523*u**2 - 2*u - 61814.
4*u**3 - 15*u**2 - 1046*u - 2
What is the first derivative of z**3 + 5113*z**2 - 37*z - 350310 wrt z?
3*z**2 + 10226*z - 37
Find the second derivative of 4178972*s**2 - 20433*s - 76 wrt s.
8357944
What is the first derivative of -981*a**3*i + 26*a**3 + 26*i**2 + 4*i + 3202 wrt i?
-981*a**3 + 52*i + 4
What is the first derivative of -69764*n + 486269 wrt n?
-69764
What is the second derivative of -75080*f**3 - 3233*f + 29?
-450480*f
Find the first derivative of 285834*i**4 + 17026.
1143336*i**3
Find the third derivative of 1637*d**5*w + 9*d**3*w - 9336*d**2 - 9*w wrt d.
98220*d**2*w + 54*w
Find the third derivative of -10893*b**5 + 2*b**4 - 382*b**2 - 22 wrt b.
-653580*b**2 + 48*b
Differentiate -23605*m + 28209 with respect to m.
-23605
What is the first derivative of 98217*t**3*y + 176*t**3 - 407*t - 1 wrt y?
98217*t**3
What is the third derivative of -74297*y**3 - 424296*y**2 wrt y?
-445782
What is the first derivative of 478364*i + 2045364?
478364
Find the second derivative of 33530*t**2 + 29*t + 19.
67060
What is the third derivative of -47*h**3*l**4 + 1883*h**3*l**2 + h**3 + h**2*l**2 - 2*h**2 - h + 4692*l**4 + l**3 wrt l?
-1128*h**3*l + 112608*l + 6
What is the derivative of 66*i**2*j + 974275*i**2 - 1875*i*j + 2*j wrt j?
66*i**2 - 1875*i + 2
What is the second derivative of -18*v**5 - 28*v**4 + 2*v**3 - 25741*v?
-360*v**3 - 336*v**2 + 12*v
Find the second derivative of -56748*j**5 + 65360*j.
-1134960*j**3
What is the derivative of 27*h**2*u + 4608*h**2 + 137*u - 2 wrt u?
27*h**2 + 137
Differentiate -86543*w + 284463.
-86543
Differentiate 35*i**3 - 2*i**2 - 167*i - 49760 wrt i.
105*i**2 - 4*i - 167
Find the third derivative of 37*x**6 - 1101*x**3 + x**2 - 1539.
4440*x**3 - 6606
Find the second derivative of -17*j**3 - 1398*j**2 - 397502*j.
-102*j - 2796
Find the second derivative of -3413*l**2*t**3*z - 2*l**2*t**3 + 6*l**2*t*z + 6*l*t*z - 21997*l*z - 3*t**3*z + 2*z wrt l.
-6826*t**3*z - 4*t**3 + 12*t*z
What is the third derivative of 32*n**6 + 17577*n**4 + 71*n**2 - 221*n + 1 wrt n?
3840*n**3 + 421848*n
What is the second derivative of -31636*v**4 + 312*v - 559?
-379632*v**2
Differentiate 94*g**3*z**4 + 2*g**3 - 282*g*q*z**4 - 4461*q with respect to z.
376*g**3*z**3 - 1128*g*q*z**3
Find the second derivative of -266863*n**4 - 4528484*n wrt n.
-3202356*n**2
Find the third derivative of -3*t**4*u - 2*t**4 - 1375*t**3*u - 5*t**3 - 17*t**2 + 6*t*u + 77*t - 3*u wrt t.
-72*t*u - 48*t - 8250*u - 30
Find the second derivative of -589*b**2*f**2 + 2*b**2*f*x**2 - 2*b**2*x**2 + 5*b*f**2*x**2 - 43*b*f - 4*b*x**2 - 3*b*x - 2*f**2*x**2 wrt b.
-1178*f**2 + 4*f*x**2 - 4*x**2
Find the third derivative of -13095*k**2*x**6 - 4*k**2*x**3 - 1356*k**2*x + k*x**2 + 9 wrt x.
-1571400*k**2*x**3 - 24*k**2
What is the second derivative of -k**2*o**2 + 2*k**2*o - 13839*k**2 - 1469*k*o**2 + 3*o**2 + 1 wrt o?
-2*k**2 - 2938*k + 6
Find the second derivative of -561031*g**3 - 97*g + 418 wrt g.
-3366186*g
Find the second derivative of 131*p**3*z**3 - 174*p**3 + 16*p**2*z**5 - 138*z wrt z.
786*p**3*z + 320*p**2*z**3
Find the first derivative of 296843*o**4 + 327612 wrt o.
1187372*o**3
Find the first derivative of 666*h*w**3 + 28*h - 265*w**3 + 2*w**2 - 2 wrt h.
666*w**3 + 28
Find the second derivative of g**2*q**2 + 87558*g**2*q - 167340*g*q**2 + g*q wrt g.
2*q**2 + 175116*q
What is the derivative of -469430*c**3 + 290032?
-1408290*c**2
Find the second derivative of -97*a*j**2*n + 4*a*j*n - 2*a*n**2 - 32*a*n + 748*j**2*n**2 + 331*j*n**2 wrt j.
-194*a*n + 1496*n**2
What is the third derivative of -l**5 + 5952*l**4 + 2*l**2 + 1443*l + 1?
-60*l**2 + 142848*l
Find the third derivative of 2860736*y**3 - 14*y**2 + 153434 wrt y.
17164416
Find the second derivative of -84*a**2*c**5 - 8177*a**2*c**3 + 1120*a**2*c + 180*a**2 + a wrt c.
-1680*a**2*c**3 - 49062*a**2*c
What is the third derivative of -6*b**2*h**3 - b**2*h**2*t - 2*b**2 - b*h**3*t + 68*h**3*t - 19*h**2*t + 17*h**2 + t wrt h?
-36*b**2 - 6*b*t + 408*t
What is the derivative of 6356320*s**3 - 3705200?
19068960*s**2
What is the third derivative of -661*h**4 + 14*h**3 + 86*h**2 + 813*h + 1 wrt h?
-15864*h + 84
Find the second derivative of 8*f**3*p + 9*f**3 + 17*f**2*p**3 + f*p**3 + 2*f*p**2 + 2*f - 252*p**3 wrt f.
48*f*p + 54*f + 34*p**3
What is the second derivative of 3*w**4 + 41*w**3*x - 26*w**3 + 86*w*x - w - x + 8 wrt w?
36*w**2 + 246*w*x - 156*w
What is the third derivative of 525021*s**3 + 37*s**2 + 2068*s wrt s?
3150126
What is the first derivative of -14750*n**2*p + 4*n**2 + 2*n*p + 11643*n wrt p?
-14750*n**2 + 2*n
Find the second derivative of -233893*v**2 + 4*v - 101643 wrt v.
-467786
What is the third derivative of -209526*m**3 + 6801504*m**2 wrt m?
-1257156
Find the first derivative of 87095*b**3 + 138018 wrt b.
261285*b**2
Differentiate 3*c**4*m + 3313*c**2*m - 28856*m wrt c.
12*c**3*m + 6626*c*m
What is the second derivative of -489*h**2*q**5 + 830*h**2 - 525*h*q**4 + 228*q wrt q?
-9780*h**2*q**3 - 6300*h*q**2
Find the first derivative of f**3*m*s + 10373*f**3*s**3 + 4818*f**2*m*s**3 - 2*s**3 wrt m.
f**3*s + 4818*f**2*s**3
Differentiate -n**3 - 1191*n**2 - 8*n + 34858 with respect to n.
-3*n**2 - 2382*n - 8
What is the third derivative of -1939*u**4 - 4*u**3 + 133*u**2 + 14*u + 4?
-46536*u - 24
Find the second derivative of 1708*a**5 + 93*a**3 - 2*a - 434235 wrt a.
34160*a**3 + 558*a
Find the third derivative of -19220*o**4 - 13*o**3 - | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of s(v).
2, 31
Suppose 82*c - 105394 = 117236. What are the prime factors of c?
3, 5, 181
Let u(f) = -76*f**2 + 2*f - 1. Let k be u(1). Let m = k + 139. List the prime factors of m.
2
Let o = 2291 - 1280. List the prime factors of o.
3, 337
Let j(h) = -h**2 + 8*h - 2. Let u be j(8). Let n be ((-18)/(-21))/(u/(-182)). Suppose 6 = 3*c, -4*i + n = -i + 3*c. What are the prime factors of i?
2, 3
Let m be (36192/72)/(2/3). Suppose 9*s - m = 632. What are the prime factors of s?
2, 7, 11
What are the prime factors of 2/4 - (-37012)/152?
2, 61
Suppose 0 = f - k - 153, -2*f + 4*k = -k - 294. What are the prime factors of f?
157
Suppose 5*k - 2*k - 7 = 4*s, 5*k - 3*s = 19. Suppose k*d + 7 = 4*w - 13, 0 = -w + d + 4. Suppose -c + 32 = -w*c. What are the prime factors of c?
2
Suppose -9*u = -6*u - 3. Let x be u/(24/28 + -1). List the prime factors of (-201)/x - 2/(-7).
29
Let p = -1235 + 2643. List the prime factors of p.
2, 11
Suppose 0*d = 5*d - 60. Let w(r) = -23 + r + 12 + 13. List the prime factors of w(d).
2, 7
Let g(l) = 17*l**2 - 42*l - 12. What are the prime factors of g(9)?
3, 7, 47
Let a(f) be the first derivative of 8*f**3/3 - f**2/2 + 6*f - 8. What are the prime factors of a(-3)?
3
Suppose -7*m - 187 + 3883 = 0. List the prime factors of m.
2, 3, 11
Let r(c) = -c**3 - 2*c**2 - 7*c + 2. Let f be r(4). Let s = 215 + f. What are the prime factors of s?
3, 31
Suppose 0 = -2*r - 3*a + 3908, 51*a - 46*a + 9770 = 5*r. List the prime factors of r.
2, 977
Suppose a + 4 = 3*y - 8, 2*y - 4*a - 18 = 0. Suppose 0 = -h - y*f + 39, -2*h + 32 + 47 = 5*f. Suppose -h = -3*x + 30. What are the prime factors of x?
2, 3
Suppose 606*y = 601*y + 1240. List the prime factors of y.
2, 31
Suppose -35 - 349 = -6*k. List the prime factors of k.
2
Let k(x) = -x**3 - 5*x**2 - x - 1. Let c be k(-5). Let w be 10/c*6/15. Suppose -w - 1 = -o. List the prime factors of o.
2
Let v = -676 - -1435. What are the prime factors of v?
3, 11, 23
Let g = -40 - 4. Let q = 12 - g. List the prime factors of q.
2, 7
Suppose 3*s + 6 = -d + 2*s, 2*d = 3*s - 12. What are the prime factors of (258/(-18) + -1)/(4/d)?
23
Suppose 2*g - 2*q = 282, -3*g = -g - 4*q - 288. Let d = g + -41. List the prime factors of d.
97
Let y be (-623)/(-14) + (-3)/6. Suppose -f = 13 - y. Suppose 0 = 5*m - 2*c - f, -4*m - 7 = 3*c - 41. List the prime factors of m.
7
List the prime factors of (-25 + 1)*-7*4.
2, 3, 7
Suppose 0 = -2*g - 28*p + 29*p + 2850, -4*g + 5728 = 5*p. List the prime factors of g.
1427
Let p(j) = j**3 + 2*j**2. Let h be p(-2). Suppose u + 4*y + 7 = -58, u - 3*y + 30 = h. Let d = -23 - u. List the prime factors of d.
2, 11
Let r be (-92)/3*45/(-6). Suppose -r = -8*h + 3*h. What are the prime factors of h?
2, 23
Let a = 21 + -36. Let p = a - -3. Let s = p + 31. List the prime factors of s.
19
Let s = -17 - -21. Suppose 227 = 3*i + s*t, 0 = -i + t - 0*t + 85. List the prime factors of i.
3
Let u = -62 + 152. Suppose f - u = -f. What are the prime factors of f?
3, 5
Let j be 3/(-1) + -1 + 161. Suppose 5*k = 3*b - 214, -k + 467 - j = 5*b. List the prime factors of b.
3, 7
Suppose 13946 = 16*n - 4310. What are the prime factors of n?
7, 163
Let q(l) = 11*l + 50. Let n be 5/(25/10) + 3. List the prime factors of q(n).
3, 5, 7
Suppose -2*j - 5*t - 67 = 0, 0*j + 5*t = -3*j - 88. Suppose 2*s = -3*a - 2*a - 116, -3*s - 5*a = 164. Let r = j - s. What are the prime factors of r?
3
Suppose 4*w + 5*a - 2279 = 3*w, 0 = -w - a + 2259. List the prime factors of w.
2, 7, 23
Suppose -14*c + 150 = -9*c. List the prime factors of 15/c + 3/((-12)/(-230)).
2, 29
Let k be (2 - -7) + 0 + 4/(-2). Let o = k + 28. List the prime factors of o.
5, 7
Let p(n) = n**2 - 19*n - 137. List the prime factors of p(26).
3, 5
Let v(s) = -99*s + 176. List the prime factors of v(-17).
11, 13
Let u be (-12 - 1)/(3 + 1 + -3). What are the prime factors of (39/u - 184/6)*-3?
101
List the prime factors of 40/(-6)*(-17655)/110.
2, 5, 107
Suppose -4*f = -2*m - 22, 16 = -m - 3*m + f. Let o(l) = l + 2. Let b be o(m). List the prime factors of 2/(b + (-49)/(-47)).
47
Suppose -3131 = -7*g - 387. List the prime factors of g.
2, 7
Let i be (6 - -2)*(-42)/8. Let m = 49 + -55. List the prime factors of 14/i - 224/m.
37
Suppose 4*v + y = 18091, 51*v - y = 49*v + 9041. List the prime factors of v.
2, 7, 17, 19
Suppose 528 = -6*h + 126. Let m = h - -124. Let x = m + 1. List the prime factors of x.
2, 29
What are the prime factors of (-95)/4*(-1320)/75?
2, 11, 19
Suppose v - 821 = -2*z + 223, 4*z - 3130 = -3*v. What are the prime factors of v?
2, 521
Let i = -296 - -450. What are the prime factors of i?
2, 7, 11
Suppose 0 = -2*h - 2*h + 2*c - 10, 4*h - 5 = -3*c. Let v = h + 4. Suppose 0*z - 39 = -v*z. What are the prime factors of z?
13
Let q be 14/(-7)*(-2)/(-4). Let u(p) = -29*p**3 - 2*p - 1. Let v be u(q). Suppose -5*a - v = -5*y, 0*y - 2*a = 2*y + 4. List the prime factors of y.
2
Let m(g) = 5*g**3 - 10*g**2 + 14*g + 25. List the prime factors of m(8).
11, 17
Let k be 13541/66 + 2/(-12). What are the prime factors of ((-2)/2)/((-5)/k)?
41
Let b = 1399 + 673. List the prime factors of (102/(-8))/((-111)/b).
2, 7, 17
Suppose 3917 = -28*j + 14921. What are the prime factors of j?
3, 131
Suppose 2*g - 8 = 0, 0 = -3*w - 0*w + 2*g - 2. Suppose -86 = -w*t + 118. Let f = -60 + t. What are the prime factors of f?
2, 3, 7
Let r = 32 + -18. Let v = 27 - r. Suppose -b - 2 = -v. What are the prime factors of b?
11
Let l = 36 + -50. Let s be (12/l)/((-2)/(-14)). What are the prime factors of s/7*(-140)/10?
2, 3
Suppose 0*k - 5*k + 28 = -2*j, -k + 5*j + 24 = 0. Suppose 74 = 3*w + k*x - 12, 10 = 5*x. Suppose -5*l + w = -274. List the prime factors of l.
2, 3, 5
Let i = 80 + -221. Let k = 309 + i. List the prime factors of k.
2, 3, 7
Let w(f) = -f**2 + 6*f + 2. Let d be w(6). Suppose 4 = -d*l + 40. What are the prime factors of l + 3*(-8)/(-12)?
2, 5
Let n = -8 + 17. Let z = n + -13. What are the prime factors of 0 - -1*(3 - z)?
7
List the prime factors of 4064/40*(-5)/(-2).
2, 127
Let f = -5215 - -7301. What are the prime factors of f?
2, 7, 149
Suppose 24*x - 20*x - g = 1911, 0 = -x + 3*g + 486. List the prime factors of x.
3, 53
Suppose -3*k = 2*k - 15. Suppose -2*w + n = 18, -n + k*n - 28 = 3*w. What are the prime factors of (w + 7)/(1/(-19))?
19
Let y be 12/7 + ((-8)/(-7))/4. What are the prime factors of 0 + 158 + (y + -1 - 2)?
157
Let p(v) = 2*v + 11. Let s be p(16). Suppose -349 = -9*m - s. List the prime factors of m.
2, 17
Let t be -78 - (-1 - 8/(-4)). Let x = 157 + t. What are the prime factors of x?
2, 3, 13
Let z = 2450 - 1889. List the prime factors of z.
3, 11, 17
Suppose 0 = 5*o + 5, 3*g + o = 3*o + 41. Suppose -g*r + 18*r = 790. What are the prime factors of r?
2, 79
Let p be (-2)/(-6) + (-100)/(-6). Let d = -16 + p. List the prime factors of (8 - 31)*-1*d.
23
Let u = 83 + 623. What are the prime factors of u?
2, 353
Let u = 447 + 149. List the prime factors of u.
2, 149
Suppose -51*a - 1190 = -61*a. List the prime factors of a.
7, 17
Let w be (1 - -2) + 1 + -4. What are the prime factors of (w - 10/(-4))*32/20?
2
Let y(m) = -13*m**2 - 2*m + 4. Let j(g) = 12*g**2 + 2*g - 6. Let u(d) = -3*j(d) - 4*y(d). Let r be ((-1)/1*2)/1. What are the prime factors of u(r)?
2, 31
Suppose -9201 - 5450 = -13*l. What are the prime factors of l?
7, 23
Suppose 19*d = 27*d - 40. Suppose 1048 = d*j - 572. What are the prime factors of j?
2, 3
Suppose u = -4*u - k, 5*k = 5*u. List the prime factors of (17 + -57)*(-1 - u).
2, 5
Let g(u) = 4*u**2 + 11*u - u**2 - 3 + 0*u - 4*u**2. What are the prime factors of g(6)?
3
Let d(p) = p + 13. Let a be d(-7). Let t(l) = -l**3 + 3. Let s be t(0). Suppose r = s*r - a. What are the prime factors of r?
3
Let z(y) be the third derivative of 0*y + 0 - 3*y**2 + 1/30*y**5 - 1/24*y**4 + 1/6*y**3. What are the prime factors of z(3)?
2
Let n(z) = 4*z - 1. Let k be n(1). Suppose -3*i + y = -236 - 96, 4*i = y + 442. Suppose l + 3*l = k*m + 85, 2*m = -4*l + i. List the prime factors of l.
5
Let h = 3 - -16. Suppose -h*c = -17*c - 124. What are the prime factors of c?
2, 31
Let f = 10 - 11. Let w = f - -7. Suppose o + 115 = w*o. List the prime factors of o.
23
Let w = -7 + 11. Suppose -w*v + 26 = -34. What are the prime fact | {
"pile_set_name": "DM Mathematics"
} |
t one hundred thousand.
1200000
Let x = -10466778079010308.50000009 + 10466777905557599. Let f = -173452708 - x. Let q = 1.5 - f. Round q to seven decimal places.
-0.0000001
Let n = -81.99 - -81.989992515. Round n to six dps.
-0.000007
Suppose 0 = 60*x - 59*x + 6. Let l be 3 + (x/18)/(2/42). Let q = l - 34. What is q rounded to the nearest 10?
-40
Let z = 29213.77 + -29366. Round z to the nearest ten.
-150
Suppose 0 = -3*m + 3*b + 13371, 4*m - b = 3337 + 14494. Round m to the nearest one hundred.
4500
Let z be (-74)/4 - (-2)/4. Let r be ((-12)/z)/(2/9948). Suppose -2*h - 4*b - r = h, -3*b - 1112 = h. Round h to the nearest 1000.
-1000
Let x = 0.54161862 + -0.5415. Round x to 5 decimal places.
0.00012
Let f = -1.72 - 42.28. Let s = f - -44.00000952. Round s to six decimal places.
0.00001
Let q = -127 + 194. Let o = 67.000044 - q. What is o rounded to five dps?
0.00004
Let p = 22 + 12. Let k = 654618.545 + -654584.5449999. Let g = p - k. Round g to six decimal places.
0
Let i = -375.3 + 375.31553. Round i to three dps.
0.016
Let u = -907.7721 - -912.12. Let s = 4.32 - u. Round s to two decimal places.
-0.03
Let g = -0.15393 + -29.05107. What is g rounded to the nearest 10?
-30
Let g = 6.2931 + 2771.6069. Round g to the nearest 10.
2780
Suppose 5*x + 1870 = 2*z, 2*z + 533 = -2*x - 215. Let n = -222 - x. Let f be (n/(-95) - 4/10) + 4. What is f rounded to the nearest integer?
2
Let y = 0.0351619 - 0.03509. What is y rounded to 5 decimal places?
0.00007
Let l = -60.513 - 0.487. Let f = 1.095 + 60.205. Let o = l + f. What is o rounded to the nearest integer?
0
Let l = -164092.24192 - -168239.2412258. Let s = l - 4147. What is s rounded to four dps?
-0.0007
Let d = 0.0512746 + -0.0516. What is d rounded to five decimal places?
-0.00033
Let i = 4934 - 4934.3164. Round i to 2 dps.
-0.32
Let h(k) = 1246*k + 6. Let q be h(3). Suppose 2*d = 4*d - q. Let s = 12072 - d. What is s rounded to the nearest 1000?
10000
Let t = -450 + 840. Let j = t + -389.99999503. Round j to 7 dps.
0.000005
Let q = 199077 - 199182.147. What is q rounded to the nearest 10?
-110
Let c = -28648 - -28648.24699. What is c rounded to three dps?
0.247
Let h = 6022.5000026989 - 6022.5. What is h rounded to six decimal places?
0.000003
Let i = 5065.6219 - 5066. Let f = -216.361 - -216. Let z = i - f. What is z rounded to 3 decimal places?
-0.017
Suppose 0 = -67*y + 71*y + 16. Let i(r) = -r**2 + 3*r - 3. Let d be i(2). Let w be 4/y + -14 + d. What is w rounded to the nearest 10?
-20
Let g be (-50*37871)/(-10) + (2 - 0). Let q = -278057 + g. Round q to the nearest ten thousand.
-90000
Let j = -0.03122 - -0.05801. Round j to 3 decimal places.
0.027
Let a be (-7 - -9)*(-2 + 9). Suppose 0 = -16*b + a*b + 50156. Suppose 0 = 5*r - b - 114922. Round r to the nearest 100000.
0
Let j = 3.19 + -0.02. Let g = -12.67 + j. Round g to the nearest integer.
-10
Let t = -135.016 - -5560.116. Round t to the nearest 100.
5400
Let l = -123.822553 - -10.820623. Let n = l - -113. What is n rounded to four decimal places?
-0.0019
Let k(p) = -p + 11. Let w be k(7). Suppose -6*q + 4 = -w*q. Suppose -q*y - y = 153. Round y to the nearest ten.
-50
Suppose -2*x - 5*z - 2956 + 25406 = 0, -56158 = -5*x + 4*z. What is x rounded to the nearest one hundred?
11200
Let p = 162 + -171.1. Let c = p + -5.1. Let v = c + 3.7. Round v to the nearest integer.
-11
Let o = 190922704 + -178523084.9. Let v = -12399589.1000006 + o. Let f = v + -30. Round f to six dps.
-0.000001
Let x(k) = -196798*k - 566. Let o be x(3). What is o rounded to the nearest ten thousand?
-590000
Let c = -11264 + 11264.0000016386. What is c rounded to seven dps?
0.0000016
Let q = 1160730 + -795430. Round q to the nearest ten thousand.
370000
Suppose 82*o - 1588110 = 76*o. Let p = -59685 + o. Round p to the nearest one hundred thousand.
200000
Let c = 5.92 - 304.92. Let q = 220.5 + c. Round q to 0 dps.
-79
Let o = -7.6436 + 7.64421231. What is o rounded to 4 dps?
0.0006
Let i = 0.26 - 1.76. Let h = -1.50000812 - i. What is h rounded to 6 decimal places?
-0.000008
Let z = 76 - 75.946. Let u = z - 0.002. Let o = 0.0519687 - u. Round o to 5 dps.
-0.00003
Let l = 24.2 + 225.8. Let i = l - 541. Let u = -290.99999743 - i. Round u to 6 dps.
0.000003
Let i = 4062 - 7636. Let k = -3573.9997119 - i. Round k to 5 dps.
0.00029
Let x = 147.4 - -57.8. Let f = -63.4 + x. Round f to the nearest ten.
140
Let y = -10726 + 10655.71. Let j = y - 45.73. Let z = 116 + j. What is z rounded to 1 dp?
0
Let p = 26 + 23. Let g = p - -18. Let c = -66.836 + g. Round c to two dps.
0.16
Let l = -26671.99983043 - -26672. Round l to five decimal places.
0.00017
Let b = 502 + -230. Let h = -271.999889 + b. Round h to 5 decimal places.
0.00011
Let v = -944.3 + 944.299997599. Round v to seven dps.
-0.0000024
Suppose -250*c = -221*c + 69774000. What is c rounded to the nearest one hundred thousand?
-2400000
Let s = -7429 - -7429.4143. Let c = s + -0.41428191. Round c to six dps.
0.000018
Let l = 1527.8 + -1698.51. Let n = -178.8 - l. What is n rounded to 1 dp?
-8.1
Let u = -393.73 + -413.75. Let i = u - -816. What is i rounded to one dp?
8.5
Let p = -0.170872912 + -213.829072888. Let w = p + 214. What is w rounded to five decimal places?
0.00005
Let v(j) = 1978*j**3 + 7*j**2 - 3*j - 29. Let o be v(-3). Round o to the nearest 100.
-53400
Let p = 17.87 + 4177.63. Round p to the nearest 1000.
4000
Let f = -129.439992789 + 129.44. Round f to 6 dps.
0.000007
Suppose -28854 + 92911 = -7*g. Let l = g + 3511. What is l rounded to the nearest one thousand?
-6000
Let f = 491.4 - 490.2906. Round f to one dp.
1.1
Let v = -2795 - -3129.2. Let x = v + -287. What is x rounded to the nearest integer?
47
Suppose 4*b + b = 9*b. Suppose b = -w + 84884 + 23916. Round w to the nearest ten thousand.
110000
Let w = -122 - -126. Suppose 0 = w*h + h - 0*h. Suppose -4*u - 9855709 - 9104291 = h. Round u to the nearest one hundred thousand.
-4700000
Suppose -k = 18 - 20. Let v be (1 + -3 - -34516) + -1 + k. Suppose 3*h + v + 2085 = 0. What is h rounded to the nearest 1000?
-12000
Let m = -37 - -40. Let w(b) = b**2 + 2*b - 19. Let o be w(3). Let p be (m/(-1) - (o - 16)) + 3. Round p to the nearest one thousand.
0
Let o = -346 - -244. Let c = -53 - o. Let q = c + -49.000096. What is q rounded to 5 dps?
-0.0001
Suppose 3*g = 7*g. Let b(q) = 2*q - 111. Let u be b(g). Let t be u + (2 + -2 - -2). Round t to the nearest ten.
-110
Let m = 146 + -98. Let i = m - 48.0435. Round i to three decimal places.
-0.044
Suppose -15*g + 8*g = -496391. Let i be -3 + -5 + (g - 5). Round i to the nearest 10000.
70000
Let m be (-878614)/3 + 105/(-63). Let v = m - 30127. Round v to the nearest 10000.
-320000
Suppose 40988 = v - 0*n - 3*n, -n + 163900 = 4*v. Let r be 84*(-6284)/3*(-26)/52. Let f = v - r. Round f to the nearest ten thousand.
-50000
Let j = 2 - -10. Let l = -11.85 + j. Let c = l - 0.15000055. Round c to seven decimal places.
-0.0000006
Let u = -30298971787963.000113 + 30299070803813. Let v = u + -99015757. Let m = -93 + v. What is m rounded to 5 decimal places?
-0.00011
Let k = -20015.49 + 20096. Let h = 75 - k. Round h to 1 decimal place.
-5.5
Suppose 7459775 = 3*m + u - 8335229, 2*u - 10530008 = -2*m. What is m rounded to the nearest one million?
5000000
Let p = -5.6 - -5.7. Let f = p - -37.9. Let a = -37.9874 + f. What is a rounded to three dps?
0.013
Let w(g) = 45664*g - 16. Let s be (4/2 - 4) + (-10)/(-2). Let q be s/(27/(-6))*9. Let n be w(q). What is n rounded to the nearest ten thousand?
-270000
Let p = -1.332 - -1394.332. Let f = -9662.903 + 8270.64. Let l = f + p. What is l rounded to one dp?
0.7
Let s = -446936 + 211786. Round s to the nearest 1000.
-235000
Let o = 2536.99978016 - 2537. What is o rounded to 5 decimal places?
-0.00022
Let o = 0.053721 + 2.538179. Round o to one decimal place.
2.6
Let a = -8770.1537086 - -0.0437086. Let l = 8815 + a. What is l rounded to the nearest integer?
45
Let t = -248885.1517 + 248901. Round t to 0 dps.
16
Let l = -663245805 - -663245874.0000046. Let r = 68.43 - -0.57. Let c = r - l. Round c to 6 dps.
-0.000005
Let h = 1224725658 - 1224725657.320999483. Let d = -0.679 + h. What is d rounded to seven dps?
0.0000005
Suppose 0 = -2*s - 2*f - 810718, s - 317*f + 316*f + 405361 = 0. | {
"pile_set_name": "DM Mathematics"
} |
n two letters picked without replacement from uuuuuugguuug.
1/22
Two letters picked without replacement from {v: 5, g: 9}. Give prob of picking 2 v.
10/91
Four letters picked without replacement from txtstsxxxxstx. What is prob of picking 2 x, 1 t, and 1 s?
36/143
Three letters picked without replacement from {p: 3, l: 4, j: 4, o: 4}. What is prob of picking 1 o, 1 l, and 1 p?
48/455
What is prob of picking 1 c, 1 o, and 2 z when four letters picked without replacement from {f: 1, c: 1, z: 7, o: 5}?
15/143
Two letters picked without replacement from {f: 9, h: 11}. Give prob of picking 2 h.
11/38
What is prob of picking 2 o when two letters picked without replacement from ooio?
1/2
Two letters picked without replacement from {p: 7, e: 1, v: 4, u: 2}. Give prob of picking 2 u.
1/91
Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, u: 7, g: 9}.
1/57
What is prob of picking 1 w and 1 b when two letters picked without replacement from vwbbbvwvwvbbv?
5/26
Three letters picked without replacement from sssrjjjs. Give prob of picking 2 j and 1 s.
3/14
What is prob of picking 1 n and 1 u when two letters picked without replacement from ukxusnp?
2/21
Three letters picked without replacement from ppppppp. What is prob of picking 3 p?
1
Calculate prob of picking 1 z and 1 g when two letters picked without replacement from ggggfzgffgzggfgf.
3/20
Three letters picked without replacement from {q: 2, z: 4, b: 2, h: 2, s: 3}. Give prob of picking 2 q and 1 b.
1/143
Calculate prob of picking 1 j and 1 h when two letters picked without replacement from jjjjjjjjjhjj.
1/6
Calculate prob of picking 1 c and 3 e when four letters picked without replacement from ptemeccpetec.
4/165
Four letters picked without replacement from {y: 4, l: 2, j: 2}. What is prob of picking 2 j and 2 l?
1/70
Three letters picked without replacement from rrrrryrrryynrryyr. Give prob of picking 1 y, 1 r, and 1 n.
11/136
Three letters picked without replacement from gddttdgtrrgdd. Give prob of picking 1 r, 1 d, and 1 t.
15/143
Three letters picked without replacement from {m: 2, w: 2, k: 2, l: 3}. What is prob of picking 3 m?
0
Calculate prob of picking 1 p, 1 i, 1 j, and 1 q when four letters picked without replacement from {b: 4, q: 5, p: 5, i: 1, j: 1}.
5/364
Calculate prob of picking 1 t and 1 v when two letters picked without replacement from vvxtx.
1/5
Two letters picked without replacement from {h: 6, c: 2, z: 4}. What is prob of picking 1 z and 1 c?
4/33
Two letters picked without replacement from ymmymmmmmm. Give prob of picking 2 m.
28/45
Calculate prob of picking 2 k when two letters picked without replacement from ukkkkkkkhkkkuk.
55/91
Two letters picked without replacement from icz. What is prob of picking 1 z and 1 c?
1/3
Calculate prob of picking 1 x and 3 e when four letters picked without replacement from zexzezzxzeezzezzzzzz.
4/969
What is prob of picking 1 s and 1 d when two letters picked without replacement from {d: 8, s: 5}?
20/39
Four letters picked without replacement from uqsqzlzvlslvszs. Give prob of picking 1 z, 2 q, and 1 l.
3/455
What is prob of picking 1 k and 1 d when two letters picked without replacement from {t: 1, d: 1, b: 2, m: 2, s: 1, k: 1}?
1/28
Calculate prob of picking 1 y, 1 o, and 1 b when three letters picked without replacement from ubyubyombbmybubbum.
7/272
Two letters picked without replacement from susuvhhhvuuzzhhhz. Give prob of picking 1 v and 1 z.
3/68
Two letters picked without replacement from {d: 1, s: 1, a: 4, r: 4, v: 3}. What is prob of picking 2 v?
1/26
What is prob of picking 1 m and 1 p when two letters picked without replacement from pppppmppmppp?
10/33
Two letters picked without replacement from {t: 2, h: 2, i: 1, m: 1, k: 1, b: 1}. Give prob of picking 1 i and 1 h.
1/14
Calculate prob of picking 2 k when two letters picked without replacement from {l: 4, s: 1, n: 1, k: 2}.
1/28
Four letters picked without replacement from {m: 1, i: 3, s: 2, c: 2, e: 4, z: 2}. Give prob of picking 2 c, 1 e, and 1 z.
8/1001
What is prob of picking 2 m when two letters picked without replacement from {d: 6, m: 4}?
2/15
Calculate prob of picking 1 i, 1 g, and 1 m when three letters picked without replacement from ijmigmxiig.
2/15
Three letters picked without replacement from yyiiiiiiyyi. What is prob of picking 2 i and 1 y?
28/55
Calculate prob of picking 2 m and 2 a when four letters picked without replacement from {m: 8, a: 5}.
56/143
Two letters picked without replacement from {j: 5, e: 1, r: 2, q: 1}. What is prob of picking 1 q and 1 r?
1/18
Calculate prob of picking 1 n, 1 s, and 1 x when three letters picked without replacement from snxsnssnsn.
1/6
Three letters picked without replacement from twwtwtzttwpjtwtj. What is prob of picking 1 j, 1 p, and 1 t?
1/40
Calculate prob of picking 1 y, 1 x, and 2 d when four letters picked without replacement from {y: 4, x: 2, d: 2}.
4/35
Calculate prob of picking 2 z and 2 g when four letters picked without replacement from {z: 12, g: 6}.
11/34
Three letters picked without replacement from {h: 3, c: 1, l: 4}. Give prob of picking 1 l and 2 h.
3/14
Three letters picked without replacement from hhhhphhhhhhhh. What is prob of picking 1 p and 2 h?
3/13
Four letters picked without replacement from {d: 5, r: 3}. What is prob of picking 3 d and 1 r?
3/7
Two letters picked without replacement from uyuyyuyys. Give prob of picking 2 u.
1/12
Three letters picked without replacement from {y: 2, e: 2, o: 1, n: 1, p: 4}. What is prob of picking 2 e and 1 o?
1/120
Two letters picked without replacement from {n: 5, f: 2, k: 4}. What is prob of picking 2 n?
2/11
Four letters picked without replacement from mimmii. Give prob of picking 2 i and 2 m.
3/5
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {e: 2, l: 4, k: 4, b: 6, m: 2, t: 1}.
8/171
Two letters picked without replacement from {i: 7, a: 4}. Give prob of picking 2 i.
21/55
Four letters picked without replacement from {x: 2, a: 2, j: 3, m: 2}. What is prob of picking 1 x, 1 j, and 2 a?
1/21
What is prob of picking 1 k and 1 p when two letters picked without replacement from wphztwwkwzpwkpkzpk?
16/153
What is prob of picking 2 g when two letters picked without replacement from gstgtgsmm?
1/12
Two letters picked without replacement from {g: 2, j: 1, z: 1, i: 5, r: 8}. Give prob of picking 1 g and 1 i.
5/68
Three letters picked without replacement from zzszzzs. Give prob of picking 1 z and 2 s.
1/7
Three letters picked without replacement from {i: 5, n: 1, u: 5, z: 1}. What is prob of picking 2 i and 1 u?
5/22
Calculate prob of picking 1 y, 1 z, and 1 p when three letters picked without replacement from {b: 4, y: 2, p: 1, z: 2, j: 5}.
1/91
Calculate prob of picking 4 i when four letters picked without replacement from {f: 4, i: 7, y: 2, e: 1}.
5/143
Calculate prob of picking 2 j and 1 q when three letters picked without replacement from {j: 4, q: 2, d: 3}.
1/7
Two letters picked without replacement from mzmmgtogmzmwz. Give prob of picking 1 z and 1 g.
1/13
Three letters picked without replacement from ozwbbbbx. Give prob of picking 1 w, 1 z, and 1 x.
1/56
Two letters picked without replacement from tnntnttt. Give prob of picking 2 n.
3/28
Four letters picked without replacement from bookllalbalblov. Give prob of picking 1 b, 1 l, and 2 o.
3/91
Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyyyy.
1
Calculate prob of picking 1 a, 1 k, and 1 j when three letters picked without replacement from jxjjtajaataakaj.
6/91
Two letters picked without replacement from rrjrjj. What is prob of picking 1 j and 1 r?
3/5
Two letters picked without replacement from {o: 1, f: 1, n: 1, g: 4, m: 2}. Give prob of picking 2 g.
1/6
What is prob of picking 1 x and 3 u when four letters picked without replacement from uuuxuuuuxuuu?
16/33
Calculate prob of picking 2 f when two letters picked without replacement from fbbbsbbmbmmbmfbmbbms.
1/190
Calculate prob of picking 1 g, 1 e, and 2 f when four letters picked without replacement from axxeeffaaegxxxf.
3/455
Three letters picked without replacement from {z: 11, i: 3}. What is prob of picking 3 z?
165/364
What is prob of picking 1 l, 1 | {
"pile_set_name": "DM Mathematics"
} |
+ g*q(a).
-3*a**3 + 1
Let c(r) = 8*r**2 + 7*r - 7. Suppose -7*f + 78 - 29 = 0. Let l(o) = 4*o**2 + 3*o - 3. Let z be (-8)/28 - (-38)/(-14). Give f*l(p) + z*c(p).
4*p**2
Let a(d) = -14*d - 16. Let o(p) = 5*p + 5. Give 5*a(u) + 16*o(u).
10*u
Suppose 0 = -4*b - 0 + 12. Suppose -3 = b*n - 0*n. Let p(s) = -s + 1. Let y be -2 - (7 + -7) - (2 - (-1 - 1)). Let k(x) = 9*x - 5. What is n*k(t) + y*p(t)?
-3*t - 1
Let w(x) = -x - 1. Let q be (-1)/(-6) - 225/54 - -3. Let c(g) = 6*g**2 - 4*g - 4. What is q*c(j) + 4*w(j)?
-6*j**2
Let n(z) = -z + 1. Suppose 3*s + 85 = -4*r - r, 2*s - r = -35. Let t be (-6)/(24/s) + 0 + 1. Let h(l) = l**3 + 6*l - 9. Determine t*n(x) + h(x).
x**3 - 3
Let j(f) = -2*f**2 + 4. Suppose -7*o = -27 - 1. Let u(z) = 5*z**2 - 11. Determine o*u(w) + 11*j(w).
-2*w**2
Let o(q) = 61 + 2*q**3 - 3*q**2 + 5*q - 54 + 4*q**2. Let x(n) = 2*n**3 + n**2 + 4*n + 6. Give -4*o(l) + 5*x(l).
2*l**3 + l**2 + 2
Let m(n) = -6*n. Suppose 5*x - 12 = 3*x. Let h(s) = 2*s - x*s + s. Suppose -4*r - 30 = -3*f, -5*r - 61 = -2*f - 34. Determine f*m(b) - 11*h(b).
-3*b
Let j(m) = 7 + 7*m**2 + 0*m**3 + m**3 - 2*m**3 + 9*m - 3*m**3. Let w(f) = 2*f**3 - 3*f**2 - 4*f - 3. Calculate -4*j(i) - 9*w(i).
-2*i**3 - i**2 - 1
Let c(k) = k - 1. Let l be 0/3 + 1 + 1. Let a(h) = -2 - 6 + 4 + 3*h + 2. Let g be 2/(-4) + 3/(-6). What is g*a(w) + l*c(w)?
-w
Let p(n) = n**2 - n - 1. Let c(v) = -23*v**2 + 87*v + 15. Let g(z) = 11*z**2 - 39*z - 7. Let w(m) = -4*c(m) - 9*g(m). Determine 3*p(q) + w(q).
-4*q**2
Let t be (-57)/(-51) - 2 - 4/34. Let c(l) = 1 + 2*l**3 + 2*l**2 - l**2 - l**3. Let r(s) = 4*s**3 + 4 + 3*s**2 + 0*s**2 + s**3. Determine t*r(n) + 3*c(n).
-2*n**3 - 1
Let k(w) = 21*w**2 - 4. Suppose -182 = 25*y - 32. Let u(b) = -11*b**2 + 2. Calculate y*k(i) - 11*u(i).
-5*i**2 + 2
Let c(i) = i**3 - i**2 + 0*i**3 + 0*i**2 - i. Let v be (104/(-325)*(-25)/20)/(8/20). Let h(u) = -3*u**3 + u**2 - 2. Give v*h(y) + c(y).
-2*y**3 - y - 2
Let x(i) = 8*i**3 + 2*i**2 + i + 2. Let v(y) = 9*y**3 + 2*y**2 + 2*y + 1. Give 2*v(z) - 3*x(z).
-6*z**3 - 2*z**2 + z - 4
Let s(r) = 4*r + 1. Suppose 98 = -52*w + 3*w. Let v(p) = p**2 + 1. Calculate w*v(j) + s(j).
-2*j**2 + 4*j - 1
Suppose 0 = 5*t + w + 32, -t - w - 10 = -2. Let m(k) = 489*k**3 - 494*k**3 - 2 + 8*k + 0. Let i(c) = 14*c**3 - 23*c + 6. What is t*i(h) - 17*m(h)?
h**3 + 2*h - 2
Let p(l) = l + 1 + 2 - 1. Let o(t) = t + 3. Let m(w) = -23*w + 120. Let i be m(5). What is i*p(d) - 3*o(d)?
2*d + 1
Let t(x) = -16*x**3 - 30*x**2 + 24*x - 15. Let h(r) = 8*r**3 + 14*r**2 - 11*r + 7. What is 13*h(q) + 6*t(q)?
8*q**3 + 2*q**2 + q + 1
Let c(f) = -7 + f + 0 + 4. Let l(v) = 2. Let b(n) = 2*c(n) + 3*l(n). Let d(y) = -y**2 + y - 1. Let u be d(1). Let m(s) = -s. Determine u*b(w) - 4*m(w).
2*w
Suppose -5*m - 31 = 24. Let o(v) = -193 + 197 - 11*v + 11*v**2 + 3*v**3 - 16*v**3. Let q(d) = -7*d**3 + 6*d**2 - 6*d + 2. What is m*q(f) + 6*o(f)?
-f**3 + 2
Let q(d) = 13*d - 28. Let y(m) = 4*m - 9. What is 3*q(v) - 8*y(v)?
7*v - 12
Let t(l) = -3*l**3 + 44*l**2 + 5*l + 4. Let g(j) = 5*j**3 - 68*j**2 - 8*j - 6. Calculate -5*g(d) - 8*t(d).
-d**3 - 12*d**2 - 2
Let y(l) be the second derivative of 91*l**3/2 - 192*l. Let v(u) = -26*u. Give -52*v(d) - 5*y(d).
-13*d
Let p(g) = 16*g**2 - 4. Let b be (-1952)/244*(-1)/2. Let q(r) = -31*r**2 + 9. Give b*q(u) + 9*p(u).
20*u**2
Let l(v) = -14*v**2 + 1. Let d be l(1). Let x(m) = 4*m + 13. Let g(y) = 40*y - 3. Let a(j) = 214*j - 14. Let c(s) = 3*a(s) - 16*g(s). Determine d*c(q) + 6*x(q).
-2*q
Let n be 24/30*15*(-3)/(-9). Let k(o) = o - 4. Suppose -l = -2*l + 2. Let p be l/7 - (-37)/(-7). Let g(q) = q - 3. Determine n*k(j) + p*g(j).
-j - 1
Let j(m) = -m**2 + 3*m - 3. Suppose -3*g + 2 = -0*g - s, 0 = s - 1. Let q(d) = -d + 1. Determine g*j(f) + 4*q(f).
-f**2 - f + 1
Let l(a) = -a**3 - 6*a**2 + 1. Let t(y) = y**3 - 1 + 13*y**2 - 25*y**2 + 0*y**3 + 17*y**2. Calculate -5*l(z) - 6*t(z).
-z**3 + 1
Let p(y) be the second derivative of -y**3/2 - 7*y**2/2 - 2*y + 23. Let d(z) = 1. Let j(n) = -5*n**3 + n**2 - 1. Let m be j(-1). What is m*d(r) + p(r)?
-3*r - 2
Let w(o) = 0 + 508*o**2 + 514*o**2 - 1024*o**2 + 2*o - 7. Let n(m) = -5*m**2 + 5*m - 15. What is 4*n(g) - 9*w(g)?
-2*g**2 + 2*g + 3
Let s(y) be the first derivative of -2*y**2 + y - 1. Let w = 1742 - 1744. Let f(a) = a**2 - a - 1. What is w*f(g) + s(g)?
-2*g**2 - 2*g + 3
Let n(p) = 3*p. Let o(k) = 32*k - 2. Determine -22*n(g) + 2*o(g).
-2*g - 4
Let j(o) = -5 - 3*o + 32 + 4*o - 6*o. Let r(a) = a - 7. Give -2*j(u) - 9*r(u).
u + 9
Let t(f) = -2*f**2 + 4*f + 8. Let v(s) = s**2 + s + 2. Determine t(w) - 3*v(w).
-5*w**2 + w + 2
Let u(r) = 6*r**3 - 11*r**2 + 11*r + 11. Suppose -h + s = -s - 7, 35 = 3*h + s. Let q(n) = n**3 - 2*n**2 + 2*n + 2. Calculate h*q(l) - 2*u(l).
-l**3
Let c(q) = -3*q**3 + 6*q**2 + 2*q - 12. Let o(h) = 4*h**3 - 7*h**2 - 2*h + 13. Determine -6*c(j) - 5*o(j).
-2*j**3 - j**2 - 2*j + 7
Let n(m) = -2*m**3 + 58*m**2 + 7*m - 4. Let j(c) = c**2 + c - 1. Give 6*j(d) - n(d).
2*d**3 - 52*d**2 - d - 2
Let l = -139 - -137. Let c(d) = -6*d + 4. Let k(j) = -j + 1. Give l*c(m) + 10*k(m).
2*m + 2
Let o(l) = -2*l - 4. Suppose 0 = -j + 3*a + 5, -5*j + j + 2*a - 20 = 0. Let g(k) = -k - 5. Give j*o(w) + 6*g(w).
8*w - 2
Let y(g) = 7*g**2 - 5*g + 5. Let o(u) = 4*u**2 - 3*u + 3. Suppose l - 3*v = 6, 4*l + 1 = 2*v - 5. Give l*y(c) + 5*o(c).
-c**2
Suppose -4*s - 148 = -124. Let b(x) = -x**2 - x + 31. Let q be b(s). Let p(o) = o + 2 + 3 - 6. Let g(l) = -12*l + 9. Determine q*g(r) + 9*p(r).
-3*r
Let j(o) = -11*o**2 - 4*o + 10. Let v(f) = 16*f**2 + 7*f - 15. What is 8*j(y) + 5*v(y)?
-8*y**2 + 3*y + 5
Let k(g) = 133*g + 16. Let y(m) = 134*m + 21. Determine 4*k(q) - 3*y(q).
130*q + 1
Let z(a) = 9*a**2 + 4*a + 9. Let v be ((-5)/(-2))/((-3)/6). Let q(w) be the first derivative of 14*w**3/3 + 3*w**2 + 14*w - 54. Calculate v*q(k) + 8*z(k).
2*k**2 + 2*k + 2
Let c(u) = 4*u - 4*u + 0 + 3 + u. Let s(b) = 2. Suppose -3*j = -2*a + 4 + 7, 5*j - a + 16 = 0. What is j*s(m) + 2*c(m)?
2*m
Let j(t) = 4*t**2 + 3*t + 16. Let w(x) = -20*x**2 - 20*x - 83. Let d(a) = -7*a**2 - 7*a - 29. Let z(h) = 17*d(h) - 6*w(h). Give 2*j(g) - 7*z(g).
g**2 - g - 3
Let u(t) = -1. Let p(b) = -3. Let g(z) = 4*p(z) - 11*u(z). Let a(h) = -4*h + 12. Let q be 11/7 - (-44)/(-77). What is q*a(j) + 12*g(j)?
-4*j
Let u(j) = 4*j + 9. Let d(z) = -2 + 9*z + 11*z - 21*z. Let i = -32 + 22. Let k = 4 + i. Calculate k*u(q) - 26*d(q).
2*q - 2
Let y(v) = 49*v**2 - 11. Let q(n) = -26*n**2 + 6. Calculate -11*q(r) - 6*y(r).
-8*r**2
Let s(n) = 37*n**3 - 6*n**2 + n + 3. Let i(u) = -19*u**3 + 3*u**2 - 1. Determine 5*i(w) + 2*s(w).
-21*w**3 + 3*w**2 + 2*w + 1
Let b(q) = -q**2 - q + 1. Let h(o) = -o**3 + 6*o**2 + 4*o - 2. Let k = 0 + 4. Let t = 29 + -34. Let a be t/(-3) + 5/(15/(-2)). Calculate a*h(w) + k*b(w).
-w**3 + 2*w**2 + 2
Let z(y) = -1798*y**3 - 5*y**2 + 30*y - 5. Let h(s) = -62930*s**3 - 174*s**2 + 1044*s - 174. Calculate -5*h(v) + 174*z(v).
1798*v**3
Let j(h) = -h**3. Let q(z) = 9*z**3. Let x(y) be the third derivative of -y**6/30 + y**5/60 - 21*y**2. Let k be x(-1). Calculate k*j(g) + q(g).
4*g**3
Let f(l) = 2*l - 3. Let d be (-4)/(-18) + (-86)/(-18). Let b(m) = -1 - 3*m + 0*m + 6 - 1. Give d*f(z) + 4*b(z).
-2*z + 1
Let y(k) = 66*k**3 - 27*k**2 + 27. Let r(s) = 0*s**3 - 2*s**2 + 3*s**3 + 2*s**3 + 2. Let p = 73 + -46. Let m = -12426 - -12424. What is m*y(z) + p*r(z)?
3*z**3
Let z(y) = 3*y - 9. Let d(v) be the first derivative of 3*v**2/2 - 8*v - 91. Calculate -7*d(m) + 6*z(m).
-3*m + 2
Let g(i) be the second derivative of 0 + 1/6*i**3 + 19*i + 1/4*i**4 - i**2. Let w(r) = -10*r**2 - 4*r + 6. Give 7*g(h) + 2*w(h).
h**2 - h - 2
Let m(z) = -3*z**3 + 2*z**2 - 5. Let c(p) be the first derivative of 3*p**4/4 - 2*p**3/3 + 6*p + 51. Determine -5*c(v) - 6*m(v).
3*v**3 - 2*v**2
Let d(f) = -f**2 - 4*f. Let n(h) = -h**2 - h. Let g(i) = -d(i) + 4*n(i). Let b = -1332 + 1334. Let x(w) = w**3 + w**2 - w. What is b*x(r) + g(r)?
2*r**3 - r**2 - 2*r
Let l(a) = 11*a**2 - 14*a + 3. Let d = -59 + 66. Let k(r) = -7 + 5 - 3*r - 6*r + d*r**2 + 4. What is 8*k(b) - 5*l(b)?
b**2 - 2*b + 1
Let c(x) = 7*x**2 - 2*x - 3. Let s(n) = -37*n + 41*n - 3*n - 6*n**2 + 2. Calculate -3*c(o) - 4*s(o).
3*o**2 + 2*o + 1
Let c(o) = -o**3 + 6*o**2 + 2*o + 6. Let h = 98 + -59. Suppose 5*f - 2*f = -h. Let a(r) | {
"pile_set_name": "DM Mathematics"
} |
*-1*-3.
-6*sqrt(2)
Simplify (-6*sqrt(55)/sqrt(5) - sqrt(11))**2 + 1.
540
Simplify (4*sqrt(10)/sqrt(5))**2 + 3.
35
Simplify -3 + sqrt(7) + 5*sqrt(7) + -3.
-6 + 6*sqrt(7)
Simplify sqrt(5) + (sqrt(5) - (sqrt(45)/(sqrt(63)/sqrt(7)))**2) + (sqrt(605))**2*3.
2*sqrt(5) + 1810
Simplify (-2 + 4*(-5 + sqrt(13)*-1))**2.
176*sqrt(13) + 692
Simplify (5*(sqrt(15) - ((sqrt(15) - sqrt(45)/sqrt(3)) + sqrt(15) + sqrt(15))))/(sqrt(243) + sqrt(27)).
-5*sqrt(5)/12
Simplify (2*sqrt(88)/sqrt(4))/(sqrt(275)*6).
sqrt(2)/15
Simplify (((sqrt(110) + (sqrt(110) - (sqrt(110) + sqrt(110)*-1)) + sqrt(110))*-1 + sqrt(110) + sqrt(110))/sqrt(10))**2.
11
Simplify (sqrt(8) + 4)**2 + (sqrt(30)/sqrt(3))/sqrt(5).
24 + 17*sqrt(2)
Simplify -4*sqrt(8)/sqrt(64).
-sqrt(2)
Simplify (1*sqrt(3388))/(sqrt(4) - 6*sqrt(8)/sqrt(2)).
-11*sqrt(7)/5
Simplify (6*(sqrt(720) + -3))**2.
-2592*sqrt(5) + 26244
Simplify (1*(5 + (-3 + sqrt(3))*-6))**2.
-276*sqrt(3) + 637
Simplify (sqrt(110)/sqrt(2)*-2)/(2*sqrt(44)).
-sqrt(5)/2
Simplify (sqrt(33) - 5*sqrt(528))/sqrt(11).
-19*sqrt(3)
Simplify (4*sqrt(110)*-2)/(sqrt(10)*-2*6).
2*sqrt(11)/3
Simplify (sqrt(104) - 1*2*sqrt(104))/(-1*sqrt(32)).
sqrt(13)/2
Simplify (1*sqrt(567) + -3)**2.
-54*sqrt(7) + 576
Simplify (sqrt(2057) + sqrt(2057)*-1 + (sqrt(17) - -4*sqrt(425)))**2.
7497
Simplify (((sqrt(105) - (sqrt(105)*2 + sqrt(105))) + sqrt(105))/sqrt(3))/sqrt(7).
-sqrt(5)
Simplify (-2*((sqrt(13) - (1 + sqrt(13))) + 2))**2.
4
Simplify 4 + (sqrt(144) - sqrt(36))/sqrt(12).
sqrt(3) + 4
Simplify (5*sqrt(252)/sqrt(6))/(sqrt(96)*-3).
-5*sqrt(7)/12
Simplify sqrt(175) + 2 + sqrt(70)/sqrt(40).
2 + 11*sqrt(7)/2
Simplify sqrt(228)/(-2*sqrt(12)*-3).
sqrt(19)/6
Simplify (sqrt(77) + 6*5*sqrt(77) + sqrt(77))/sqrt(11).
32*sqrt(7)
Simplify (-5*1*sqrt(833))**2 + (3*-2*sqrt(833))**2 + 1.
50814
Simplify (sqrt(209)/(sqrt(121)/sqrt(11)) + sqrt(684) + -5)**2.
-70*sqrt(19) + 956
Simplify -6*(-2 + sqrt(242) + -1 + 2 + sqrt(242)).
-132*sqrt(2) + 6
Simplify (-5*(sqrt(192)/sqrt(4) + (sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0 - sqrt(363)) - sqrt(363)) - sqrt(363) - sqrt(363))))**2.
1200
Simplify sqrt(95)/(sqrt(30)/sqrt(6)*-5 - sqrt(5)).
-sqrt(19)/6
Simplify sqrt(52)*-4*-6.
48*sqrt(13)
Simplify (-4*sqrt(28)/(sqrt(36) - sqrt(4)))**2.
28
Simplify (sqrt(171) + sqrt(171)*-2 + 2)**2 + 2.
-12*sqrt(19) + 177
Simplify ((1 + sqrt(128) + sqrt(2) - ((sqrt(2)*2 - sqrt(2)) + 0))*-4)**2.
256*sqrt(2) + 2064
Simplify (sqrt(19) - (-2 + sqrt(19))*4) + -5*(sqrt(19) - -2*sqrt(19))**2.
-847 - 3*sqrt(19)
Simplify sqrt(14)/sqrt(63) - sqrt(2) - 4*sqrt(8)/sqrt(4).
-14*sqrt(2)/3
Simplify (5 + sqrt(242)*1)**2.
110*sqrt(2) + 267
Simplify ((sqrt(17) + sqrt(153)*3 - sqrt(17)*1*-5) + -5)**2.
-150*sqrt(17) + 3850
Simplify (sqrt(2736) + -6*-1*sqrt(2736) + sqrt(2736) + 0 + 1 + sqrt(2736))**2.
216*sqrt(19) + 221617
Simplify (sqrt(162) + sqrt(162)*-2 + sqrt(162) + 2 + sqrt(162))**2*6.
216*sqrt(2) + 996
Simplify ((sqrt(65) + 2*sqrt(65)*-4 + sqrt(65))/(sqrt(5) + (1*sqrt(405) - sqrt(405))))**2 + 2.
470
Simplify 1 + -2*(sqrt(52)*1)**2.
-103
Simplify sqrt(102)/(sqrt(1200)/sqrt(8)).
sqrt(17)/5
Simplify sqrt(637) + -5*-2*sqrt(637).
77*sqrt(13)
Simplify (3 + sqrt(17) + 4)**2 + (sqrt(459) + sqrt(51))/sqrt(3).
66 + 18*sqrt(17)
Simplify -1*sqrt(175) - (sqrt(7) + (sqrt(7) - -4*(sqrt(35)/sqrt(5) + sqrt(7)))).
-15*sqrt(7)
Simplify -5 + sqrt(1872) + -1.
-6 + 12*sqrt(13)
Simplify 1*(1*sqrt(612))**2*-4.
-2448
Simplify -3 + (sqrt(325) + 2)*-6.
-30*sqrt(13) - 15
Simplify 6*(-2 + sqrt(539)*-2 + ((sqrt(539) + 0)**2 - sqrt(539))).
-126*sqrt(11) + 3222
Simplify ((sqrt(432)*2 + 0)*5)**2.
43200
Simplify (5 + (-2 + sqrt(832) + sqrt(832))*1)**2.
96*sqrt(13) + 3337
Simplify sqrt(288) - (sqrt(288) + -5 + (1 + sqrt(288) + sqrt(288))**2) - (sqrt(288) + (1 + sqrt(288) - sqrt(288))*-3).
-1145 - 60*sqrt(2)
Simplify sqrt(18)/(sqrt(9) + 4*sqrt(9)*1).
sqrt(2)/5
Simplify (sqrt(88)/sqrt(32))**2 - (4 + 1*sqrt(11))**2.
-8*sqrt(11) - 97/4
Simplify (((sqrt(66) - -6*sqrt(66)) + sqrt(66))*-5)/sqrt(6).
-40*sqrt(11)
Simplify (sqrt(99) - -1*1*sqrt(99) - sqrt(99))/(-5*-2*sqrt(9)).
sqrt(11)/10
Simplify (3*-6*(-1 + sqrt(612)))**2.
-3888*sqrt(17) + 198612
Simplify sqrt(110)/(sqrt(110)/(sqrt(11)*5)).
5*sqrt(11)
Simplify ((sqrt(13) - sqrt(78)/sqrt(24)) + sqrt(13))**2 - (sqrt(26)/sqrt(2) + 3 + sqrt(13)).
-2*sqrt(13) + 105/4
Simplify 5 + -2 + sqrt(66)/(sqrt(486)*1 + sqrt(6) + sqrt(6) - sqrt(6)).
sqrt(11)/10 + 3
Simplify -2*(sqrt(147)*1 - sqrt(147))*2.
0
Simplify sqrt(22)/(1*sqrt(2)) + sqrt(132)/(sqrt(48)/sqrt(4)).
2*sqrt(11)
Simplify sqrt(3)*-3 + -2 + -2 + sqrt(3) + -1.
-5 - 2*sqrt(3)
Simplify (4 + (sqrt(5) - sqrt(5)*-1) + 2 + sqrt(80))**2.
72*sqrt(5) + 216
Simplify (-5 + (-4*sqrt(51)/sqrt(3) - (sqrt(17) - sqrt(68))*-1))**2.
50*sqrt(17) + 450
Simplify (3 + 1 + sqrt(19))*-3 + 5.
-3*sqrt(19) - 7
Simplify (sqrt(1575) - (sqrt(1575) + 5*(1 + sqrt(1575)))**2 - sqrt(1575))*3.
-170175 - 2700*sqrt(7)
Simplify sqrt(6)/(sqrt(8)/sqrt(4)) - (sqrt(3) - ((sqrt(3) + 1)*-4)**2).
32*sqrt(3) + 64
Simplify sqrt(7200) + 1.
1 + 60*sqrt(2)
Simplify (1*(-3 + 1 + sqrt(1872) + sqrt(1872) + 5))**2.
144*sqrt(13) + 7497
Simplify (sqrt(12) - sqrt(12)*1) + 1.
1
Simplify (sqrt(104) - -1*(sqrt(104) + sqrt(104)*2))/(1*sqrt(200)).
4*sqrt(13)/5
Simplify -3 + (2*sqrt(441))/sqrt(7).
-3 + 6*sqrt(7)
Simplify sqrt(12)/(sqrt(486) + sqrt(486)*-3 + sqrt(486)).
-sqrt(2)/9
Simplify (-2*sqrt(132)/sqrt(4))/(sqrt(300)*-2 + sqrt(300)).
sqrt(11)/5
Simplify (3 + sqrt(44) + 3 + sqrt(44) + (sqrt(11) + -3 + -3 - sqrt(11) - sqrt(11)))**2.
99
Simplify ((sqrt(570) + sqrt(570)*-1)/sqrt(10))/(sqrt(12)*-1).
0
Simplify sqrt(2) + 0 + -1 + -1*sqrt(2)*-2.
-1 + 3*sqrt(2)
Simplify (sqrt(36) + (sqrt(252) + -1*sqrt(252) + sqrt(252))/sqrt(7))/(-3*sqrt(12)*5).
-2*sqrt(3)/15
Simplify ((sqrt(84)/sqrt(4) + sqrt(21))*4)/(-1*sqrt(1008)).
-2*sqrt(3)/3
Simplify -5*(-6*(sqrt(11) - sqrt(33)/sqrt(3)) + sqrt(11)).
-5*sqrt(11)
Simplify 4*sqrt(10)/sqrt(2) - (-5 + sqrt(10)/sqrt(2)).
5 + 3*sqrt(5)
Simplify (sqrt(68) - 2*sqrt(68)*-5)/(sqrt(32)/sqrt(128) - sqrt(4)).
-44*sqrt(17)/3
Simplify -2*(-1*sqrt(72))/sqrt(4) + 4.
4 + 6*sqrt(2)
Simplify sqrt(80) + 0 - (sqrt(405) + 1)**2.
-406 - 14*sqrt(5)
Simplify sqrt(156)/sqrt(48) + sqrt(13) + sqrt(936)/sqrt(2).
15*sqrt(13)/2
Simplify (sqrt(640)*-1)/(sqrt(200)*-2).
2*sqrt(5)/5
Simplify (2*sqrt(1152))/(sqrt(216)*1 + sqrt(216) + sqrt(6))*4.
64*sqrt(3)/13
Simplify (-3*sqrt(14)*-1)/(sqrt(24)/sqrt(300)).
15*sqrt(7)
Simplify sqrt(171) + -3 + 1 + 3.
1 + 3*sqrt(19)
Simplify 4*(-3*sqrt(1300))**2.
46800
Simplify (sqrt(1300) - (2 + sqrt(1300)*-1))**2.
-80*sqrt(13) + 5204
Simplify -5 + sqrt(208) + 1.
-4 + 4*sqrt(13)
Simplify sqrt(56)/((sqrt(8) + sqrt(16)/sqrt(2))*3).
sqrt(7)/6
Simplify (sqrt(162) + 0 - (0 + sqrt(242)))**2.
8
Simplify (5 + 6*(2 + sqrt(1216) - sqrt(1216)))**2.
289
Simplify sqrt(45)/(1*sqrt(144)).
sqrt(5)/4
Simplify sqrt(55)/(sqrt(110)/(sqrt(10) - sqrt(10)*1 - sqrt(10))).
-sqrt(5)
Simplify (sqrt(18)*-2 - sqrt(14)/sqrt(63))**2.
722/9
Simplify (sqrt(7) - (1 + sqrt(63))) + sqrt(7) + (sqrt(700)*-1)**2.
-sqrt(7) + 699
Simplify -3*((sqrt(224) + (sqrt(224) - -1*sqrt(224)) + sqrt(224))/sqrt(4))/(4*sqrt(8)*-2).
3*sqrt(7)/2
Simplify ((sqrt(171) - 2*sqrt(171))*-3)/sqrt(9).
3*sqrt(19)
Simplify ((sqrt(1980) - (-2*sqrt(1980) + sqrt(1980)))/(((sqrt(110)/sqrt(2) - sqrt(55)) + sqrt(55))/sqrt(11)))**2.
1584
Simplify ((sqrt(95) + sqrt(95) + -1*sqrt(95))*4)/(-1*sqrt(20)).
-2*sqrt(19)
Simplify (sqrt(60)/sqrt(6))/sqrt(5) + -5.
-5 + sqrt(2)
Simplify -4*((sqrt(13)*-2)**2*-6 + 4).
1232
Simplify (sqrt(72)/(sqrt(30)/sqrt(5)))/(sqrt(294)*1 + sqrt(294)).
sqrt(2)/14
Simplify (3 + (1*sqrt(180))**2 - sqrt(180) - sqrt(180))*-4.
-732 + 48*sqrt(5)
Simplify 3 + (sqrt(6)/sqrt(27))**2 + 1.
38/9
Simplify 1 + (sqrt(70)/(sqrt(20)/sqrt(2)))**2.
8
Simplify sqrt(396) - (sqrt(396) + 0 + sqrt(396)) - (sqrt(55)*2)/sqrt(5).
-8*sqrt(11)
Simplify (sqrt(38) - sqrt(4598)*2)/((sqrt(14) + sqrt(14)*2)/sqrt(7)).
-7*sqrt(19)
Simplify (-3 + sqrt(80))*3.
-9 + 12*sqrt(5)
Simplify (sqrt(11)*1*-3 - (sqrt(275) - (0 + sqrt(275))))**2.
99
Simplify (sqrt(405)*1 + sqrt(405) - (-5 + (sqrt(5) - (sqrt(5) + 1))))**2.
216*sqrt(5) + 1656
Simplify ((4*sqrt(308))/sqrt(11))/(sqrt(36)*-4).
-sqrt(7)/3
Simplify (0 + -1*(sqrt(567)*3 + sqrt(567) + sqrt(567)) + sqrt(567))**2.
9072
Simplify ((2 + s | {
"pile_set_name": "DM Mathematics"
} |
= -4*d - 1. Is g <= 20?
True
Let h(v) = 3*v. Let y(n) = n. Let g(l) = 2*h(l) - 7*y(l). Let o be g(-1). Is 2/9 not equal to o?
True
Let q = -13 - -7. Is q smaller than -5?
True
Suppose 2*w + h = 2*h - 17, -5*h = 4*w + 55. Let c = -10 - w. Suppose 3*u = -5*j + 23, -4*u + 4*j - 19 = -7*u. Which is bigger: u or c?
u
Let r = -5.1 + 0.1. Let j = -5.2 - r. Is j >= 2/3?
False
Suppose 5*z + 21 = 1. Suppose -3*i - 40 = 2*i. Let w = i + 5. Is w bigger than z?
True
Let b(s) = -s**3 - 2*s**2 - s - 1. Let p be b(-2). Suppose 2*c - p = -2*m - 7, -3*c - 13 = 5*m. Let w = -10 + 9. Which is smaller: m or w?
m
Let c(l) = l**2 - 7*l - 2. Let u be (-4)/14 + (-153)/(-21). Let n be c(u). Suppose 3*i + 8 = -i. Does n = i?
True
Let d = 1153/5 + -232. Which is smaller: 0 or d?
d
Suppose -q = -u + 1, 5*u + 18 = -2*q - 12. Which is greater: -4 or q?
-4
Suppose -k + 4*k = 9. Let z = 389/3 - 127. Is k < z?
False
Suppose -6 = -5*q - 16, 4*s = -4*q - 80. Let f be s/(-44)*2 + -1. Is f >= 0?
False
Let w be 0 + 5/(-3) + -2. Let n = -35/9 - w. Is n bigger than 1?
False
Let r be ((-12)/(-20))/(2/(-30)). Is -25/3 != r?
True
Suppose -2*s + 98 = 3*o, 2*o - 132 = -2*o - 3*s. Suppose 5*t + 4 - o = -f, -9 = f - 2*t. Let k = -1 - 0. Which is smaller: k or f?
k
Let n be 0 - ((-1)/(-1) - -1). Let o = n + 4. Suppose o = -0*q - 2*q. Is q smaller than 1/5?
True
Suppose -3*s - 4 = -2*s. Let k be 96/90 + s/6. Let j be (-4)/14 - 4/(-14). Which is smaller: j or k?
j
Let t(c) = c - 3. Let o be t(2). Is o smaller than 1/20?
True
Suppose o + 2 = -0*o. Let g be ((-1)/o)/(1/4). Which is smaller: 2/3 or g?
2/3
Let c = 5 - 11. Let h be ((-2)/6)/(2/c). Is -0.07 smaller than h?
True
Let o = 29/3 + -10. Which is smaller: 8 or o?
o
Let q be 5/45*12*(-3)/2. Let h = -52 - -360/7. Is h < q?
False
Let t = 23/30 - 1/10. Which is smaller: 2 or t?
t
Let v be (-3)/5 - 6/15. Let x be (-90 + (2 - 1))*-2. Let m = x + -3380/19. Does v = m?
False
Suppose 1 = j - 0. Let w(v) = 7*v. Let u be w(j). Suppose -u*g + 3*g = 0. Which is bigger: -3/4 or g?
g
Let b = 21.8 - 3.8. Let z = -18.5 + b. Is z bigger than 1?
False
Let f(i) be the first derivative of i**2/2 - i - 6. Let j be f(2). Let w be 3/(-14*3/4). Is j greater than w?
True
Let x = 20 + -5. Let u = -27 + x. Is -1 less than or equal to u?
False
Let h = -43/30 - -3/5. Suppose 2*b - 42 = -2*b + 2*r, -3*b - r + 39 = 0. Suppose -4*w + m - 2 = -2*m, -b = 2*w + 4*m. Which is bigger: w or h?
h
Let p = 9 - 4. Let b = 0.19 - 5.09. Let h = b + p. Is h greater than -0.2?
True
Let w = -507/5 + 101. Let t(o) be the first derivative of o**4/4 + 3*o**3 + 7*o**2/2 - 7*o - 3. Let c be t(-8). Is w greater than c?
False
Let s = 0.072 - 0.232. Which is bigger: 1/3 or s?
1/3
Let q = -26.047 + 0.047. Let j = q + 17. Let y = -10 - j. Is y not equal to 1/4?
True
Suppose -2 = -4*u + 14. Suppose -u*g + 9 = -7. Suppose -4 = j - f, -5*j = g*f - 21 + 5. Is 4/3 <= j?
False
Suppose 0*g = 2*g - 16. Suppose 4*z + 0 = g. Let a be (-13)/(-14) + (-1)/z. Does -1 = a?
False
Let q(n) = 4*n - 1. Let y be q(1). Suppose a - 12 = -3*a. Suppose a*r + 0*r - 20 = -4*g, 0 = y*r - 3*g + 15. Which is greater: r or 3/5?
3/5
Let f be (-5)/(-3)*(-9)/24. Let m be (1 - (2 + -1))*(1 + -2). Is m bigger than f?
True
Let c = -10 - -11. Suppose -20 = 2*u + 3*u. Let v be c - (-2 + u/(-2)). Are v and 1/5 unequal?
True
Suppose 2*i - 4*w = -10, -1 - 3 = -2*w. Suppose -5*k + 8 = -k, 0 = 4*t - 5*k + 22. Which is smaller: t or i?
t
Let u = 3 + -1. Suppose -4 = u*h + 2*h. Is h less than -2?
False
Let b = -119/3 - -40. Let n(f) = -f**3 - 8*f**2 + 9*f - 1. Let z be n(-9). Which is bigger: z or b?
b
Suppose -4*q - 12 = -a - 9*q, -10 = -a - 4*q. Let m be a + 1/(6/(-15)). Is m >= 0?
False
Suppose 6 = -20*k + 18*k. Which is smaller: -5 or k?
-5
Let t(j) be the third derivative of -j**6/120 - j**5/6 - 5*j**4/12 - 3*j**3/2 - 5*j**2. Let h be t(-9). Let n = 0 + 0. Do h and n have the same value?
True
Let z = -0.8 - -1.8. Let o be (-1)/(-3) - (-8)/(-6). Let r be o/4*16/(-6). Do z and r have the same value?
False
Let o = -0.06 - -0.15. Let q = 0.11 + o. Which is smaller: -0.05 or q?
-0.05
Let o = -49 + 49. Which is bigger: o or -2.2?
o
Let t = 12.28 - -0.72. Which is greater: t or 0?
t
Let h = 13.13 - -0.57. Let i = h - 7. Let k = i - 7. Which is smaller: -1 or k?
-1
Let q(u) = u**3 + u**2 + 11. Let w be q(-3). Let o(c) be the first derivative of -c**4/4 + 2*c**3 - c**2/2 - c + 2. Let j be o(6). Is w at least as big as j?
True
Let u be (2/((-8)/(-10)))/((-45)/90). Are -4 and u unequal?
True
Suppose 3 = 5*j - 2. Which is smaller: -1/6 or j?
-1/6
Let w = 4.53 + -0.59. Let x = w + 0.06. Let z be 2*-1 + (0 - -1). Is x equal to z?
False
Let c = -0.7 - -1.72. Let g = c + -0.02. Let x = -2 - -3. Do g and x have the same value?
True
Let i = 17 + -43. Is 2/7 at least as big as i?
True
Let m = 3093/11 - 281. Suppose 3*d - 4 = -1. Is d less than m?
False
Suppose 0 = 3*g - 5*c - 19, -4*g + 39 - 8 = -c. Which is smaller: 7 or g?
7
Suppose -y + 3*l - 1 = 2, 0 = 3*l. Let k(q) = q**3 + 2*q**2 - 4*q - 2. Let a be k(y). Let m be ((-21)/(-12))/a - 2. Is m at least as big as 1?
False
Let w = -245/3 + 81. Which is greater: 1.4 or w?
1.4
Let o = 36 - 35.8. Is -10 bigger than o?
False
Let x(t) = t + 21. Let g be x(-11). Is g equal to 10?
True
Suppose 3*f + 7 = -50. Which is smaller: f or -20?
-20
Suppose -b - 2*b = -x - 13, 50 = 5*b + 4*x. Suppose -3*w + 2*g + b = 0, -3*g - 2*g = 3*w - 6. Let z = -23 + 47/2. Is w != z?
True
Let m = -19/33 + -1/11. Which is smaller: m or -4?
-4
Let w = 671/139 + -90171/25993. Let u = -20/17 + w. Which is smaller: u or -1?
-1
Suppose -2*t - 4*b + 6 = 0, -4*t = t - 4*b - 1. Let k be ((-3)/6)/(t/6). Let c = 0 + 0. Which is smaller: k or c?
k
Let b = 415 - 413.13. Let t = -0.13 - b. Is -4 > t?
False
Let o(y) = y**3 + y**2 + y - 1. Let i be o(1). Suppose 4*h - u = 13, 5*h - 4*u - 20 = -2*u. Is h smaller than i?
False
Let t be (2 + 0)*1/2. Suppose 2*j + 4 = -2*c, 5*j + t = -4*c - 8. Let o = -187/5 + 37. Is o greater than j?
True
Suppose -b = -6*s + s - 68, -s + 2*b - 10 = 0. Suppose 4*i = 7*i + 39. Which is greater: s or i?
i
Suppose p - 3 = -1. Is p < -0.1?
False
Suppose 0 = 5*b - 5*f + 4 + 1, -2*b = f - 4. Are 1/9 and b unequal?
True
Let f = 0.72 - 5.82. Let a = 5 + f. Let u = 1 + -2. Do u and a have different values?
True
Let b be ((-1)/(-10)*8)/(6/115). Is 16 bigger than b?
True
Let h be (-28)/(-36) + (-4)/(-18). Let p(y) be the third derivative of y**4/24 - 2*y**3/3 + y**2. Let i be p(3). Which is smaller: i or h?
i
Let r(d) = 2*d**2 + 28*d + 1. Let g be r(-14). Which is smaller: g or 2?
g
Let n = -0.01 - -3.01. Let h = n + -2. Is -0.2 bigger than h?
False
Let r be (46/204 + -2)/3. Let s = r + 5/34. Let i be (60/14 - 2) + -2. Is i at least as big as s?
True
Let v be -2 + (-179)/(-70) + -1. Let q = -2/35 + v. Are 2/7 and q equal?
False
Let w(d) = -d - 3. Let p be w(-7). Suppose -4 - p = -2*c. Which is bigger: c or 1?
c
Let l = 0.1 - -13.9. Let b = l - 10. Which is smaller: b or -2?
-2
Suppose -y + 2*n = -11, 3*y - 2*n = y + 12. Let g be 1/7*(-222)/(-118). Let x = 1/59 + g. Is y greater than x?
True
Suppose 2*p = 5*j - 3*p, 2*j - 4*p - 6 = 0. Let x be (2/9)/(8/12)*-9. Is x >= j?
True
Suppose 5*w - 54 = 3*i, -w + 0*w + 12 = -i. Let y = 9 - w. Is 2 != y?
True
Let m be (-7)/9*6/3. Which is smaller: -1 or m?
m
Let l = 4 - -4. Let w = 11 - l. Let q(y) = y. Let p be q(4). Which is greater: w or p?
p
Let r be (-1)/3 + (-6)/9. Let j = -14.2 + 14. Is r greater than j?
False
Let g = -2184777347/21918734191 - 2/6444791. Let k be ((-1)/1)/((-179)/(-1)). Let v = g + k. Is -1 <= v?
True
Let t be 6/(-16) - 7/(52 + 4). Which is bigger: -2 or t?
t
Suppose q - 7 = -0. Let i = 34 - 28. Is q bigger than i?
True
Suppose -4*f - 5*v + 16 = -2*f, 7 = -f + 5*v. Suppose -p = i + 4, -f*i + 0*i = 0. Is -26/5 at most as big as p?
True
Suppose 0 = 5*o + 84 + 16. Do o and -19 have different values?
True
Let s be (1 - (0 - 0)) + 44. Let f be ((-16)/(-10))/(9/s). Let i = f - 5. Which is bigger: 4 or i?
4
Suppose -2*c = -2*g + 30 - 8, -3*g + 22 = -2*c. Let s = c - -12. Is s <= 1/3?
False
Let n(t) = 5*t**2 + t - 3. Let z(l) = l**2 + 1. Let d(h) = -n(h) - 2*z(h). Let u be d(1). Is -6 at least as big as u?
True
Let v be (-8)/(-44)*10/(-4). Is v at most -1?
False
Let b( | {
"pile_set_name": "DM Mathematics"
} |
p(s). Factor o(z).
4*z*(z - 3)
Let w(t) = -t**2 + 57*t + 102. Let i(y) = 43 + 47*y**2 + 161 - 48*y**2 + 114*y. Let j(q) = -4*i(q) + 7*w(q). Factor j(a).
-3*(a + 2)*(a + 17)
Suppose -5*i = -i + 12, 0 = 3*p - 4*i - 21. Factor -13*c**p + 41*c**3 + 160 + 960*c - 8*c**3 + 27*c**2 + 423*c**2 + 35*c**3.
5*(c + 4)**2*(11*c + 2)
Let g(i) be the first derivative of i**7/385 + 7*i**6/220 + 6*i**5/55 - 17*i**2 - 125. Let d(c) be the second derivative of g(c). Factor d(h).
6*h**2*(h + 3)*(h + 4)/11
Let x be -22 + (-150)/(-3)*21/42. Factor -2/7*z**2 + 2/7 - 2/7*z**x + 2/7*z.
-2*(z - 1)*(z + 1)**2/7
Let q be (970/6 - 3) + (36 - (-2208)/(-64)). Factor 31/3*r - 1/6*r**2 - q.
-(r - 31)**2/6
Let o = 1590 + -1585. Let d(l) = -54 + 94*l - 82 + 12*l**3 + 106*l - 92*l**2. Let y(z) = 8*z**3 - 61*z**2 + 133*z - 91. Let b(s) = o*d(s) - 8*y(s). Factor b(n).
-4*(n - 3)*(n - 2)**2
Let k = -22 - -117/5. Let b = 11/5 - k. Factor 0*u**2 + 0 + 0*u + b*u**4 - 4/5*u**5 + 8/5*u**3.
-4*u**3*(u - 2)*(u + 1)/5
Let l = 975 - 958. Let v(d) be the first derivative of -2/15*d - 2/15*d**4 - l - 4/45*d**3 + 4/15*d**2 + 2/25*d**5. Suppose v(r) = 0. Calculate r.
-1, 1/3, 1
Factor 0*u + 0 + 368/7*u**2 - 12*u**3 - 2/7*u**4.
-2*u**2*(u - 4)*(u + 46)/7
Determine x so that 0*x - 200/7*x**3 + 0 + 0*x**2 - 4/7*x**4 = 0.
-50, 0
Suppose -400/3 - 10/3*m + 269/3*m**2 + 1/3*m**5 + 121/3*m**3 + 19/3*m**4 = 0. Calculate m.
-8, -5, -2, 1
Let p(s) be the first derivative of 70/9*s**3 + 1/6*s**4 - 122 - 12*s**2 + 0*s. Determine g so that p(g) = 0.
-36, 0, 1
Let b = 16509 + -16505. Let n(o) be the third derivative of 0 + 0*o**5 - 1/40*o**6 + 36*o**2 + 0*o**3 + 1/2*o**b + 0*o. Find v, given that n(v) = 0.
-2, 0, 2
Let p = 94690/172953 - 32/15723. Find j, given that p*j - 2/11*j**2 - 4/11 = 0.
1, 2
Let v(o) = o**3 + o**2 + 12*o + 57. Let y be v(-3). Suppose -18*b + 12 = y*a - 16*b, -5*a = 5*b - 25. What is i in -18/7*i**a - 3/7*i**3 + 0 - 27/7*i = 0?
-3, 0
Let l be (6/16 + -1)*1332/(-84915). Let b(i) be the third derivative of -23*i**2 + 1/510*i**5 + 0 + l*i**4 + 0*i + 1/51*i**3. Find k such that b(k) = 0.
-1
Solve 508/9*l**2 - 514/9*l**3 + 16 + 46/9*l**5 - 88/9*l**4 + 568/3*l = 0.
-2, -2/23, 3
Let i(m) be the second derivative of -13/80*m**5 + 0*m**2 + 0 + 21*m + 1/24*m**6 + 0*m**3 - 1/8*m**4. Factor i(c).
c**2*(c - 3)*(5*c + 2)/4
Let l be 7 - ((325/(-105) - -3) + (-2924)/(-714)). Suppose 16*r - 102/7*r**2 + 2*r**l - 24/7 = 0. What is r?
2/7, 1, 6
Let k be (-4)/10 + 348/70. Let z be 55440/224224 - 2/(-52). Solve 48/7*d + 2/7*d**4 + k + z*d**2 - 12/7*d**3 = 0.
-1, 4
Suppose 2*u + 1553 = -2*k - 3*u, 0 = -4*k + 2*u - 3118. Let f be 9/(-21) + k/(-1197). Suppose -f - 8/9*x - 8/9*x**3 - 2/9*x**4 - 4/3*x**2 = 0. Calculate x.
-1
Let k(y) = 4*y**2 - 664*y + 2136. Let o(q) = -8*q - 6. Let d(x) = k(x) + 6*o(x). Determine a so that d(a) = 0.
3, 175
Let m(b) be the first derivative of b**5/10 + 21*b**4/8 + 29*b**3/2 + 115*b**2/4 + 24*b + 5113. Determine h, given that m(h) = 0.
-16, -3, -1
Factor -396 - 393/2*d**2 + 1/2*d**3 - 593*d.
(d - 396)*(d + 1)*(d + 2)/2
Let h = 123771/82490 + -18/41245. Factor 4*g + 3*g**2 - 1/2*g**4 + 0 - h*g**3.
-g*(g - 2)*(g + 1)*(g + 4)/2
Let u(s) be the second derivative of -1/3*s**3 + 0*s**2 + 0 - 31*s + 1/10*s**5 + 1/30*s**4 - 1/75*s**6. Factor u(o).
-2*o*(o - 5)*(o - 1)*(o + 1)/5
Suppose 39*q - 24 = 31*q. Find r, given that -7 + 4*r + 278*r**2 - 1 - 270*r**2 - 4*r**q = 0.
-1, 1, 2
Let i(u) be the first derivative of 45*u**4/4 - 65*u**3/3 - 35*u**2 + 40*u + 3208. Solve i(f) = 0 for f.
-1, 4/9, 2
Let h(x) be the third derivative of -x**5/270 + 11*x**4/12 + 520*x**3/27 - 54*x**2 + 9*x - 1. Determine o, given that h(o) = 0.
-5, 104
Suppose 60 + 237 = 33*m. Suppose 7*p - m*p - 4 = 3*q, 0 = -5*p - 10. Find n, given that 0*n**2 + 4/7*n**4 + q*n + 0 + 16/7*n**3 = 0.
-4, 0
Let m(j) = -9*j**2 + 23*j + 4. Let g(q) = -5*q**2 + 13*q + 2. Let h = 192 + -196. Let v(y) = h*m(y) + 7*g(y). What is i in v(i) = 0?
-1, 2
Let r(z) be the first derivative of -z**3/3 + 13*z**2/2 + 51*z - 49. Let t be r(16). Factor -w**2 + w**3 + 26*w - 10*w**2 - w**5 - 4 + t*w**4 - 14*w.
-(w - 2)*(w - 1)**3*(w + 2)
Let o(f) be the second derivative of -f**6/6 - 9*f**5/2 - 50*f**4 - 880*f**3/3 - 960*f**2 + 14*f - 137. Let o(a) = 0. Calculate a.
-6, -4
Factor -335*m**2 - 15*m + 13*m + m**3 + 24 + 330*m**2.
(m - 4)*(m - 3)*(m + 2)
Let c(b) = b**3 + 9*b**2 - 24*b + 21. Suppose 12 = -3*q - 21. Let j be c(q). Factor 30 + 12*s**2 + 24*s**2 - 90*s**3 + 169*s**2 + 228*s - j*s.
-5*(s - 3)*(2*s + 1)*(9*s + 2)
Factor 0 + 43/4*b**3 + b**4 - 179/4*b**2 + 21/2*b.
b*(b - 3)*(b + 14)*(4*b - 1)/4
Let a(p) be the first derivative of -5*p**3/3 - 160*p**2 - 4715*p - 1830. Factor a(n).
-5*(n + 23)*(n + 41)
Let o(u) = u + 10. Let z be o(-9). Let -t**2 + 3 + 5*t + 6*t - z + 10 = 0. What is t?
-1, 12
Let g be -2*(63/14 - 12/2). Factor -71*v + 51*v + 32 - 5*v**2 + 36*v - 3*v**2 + 0*v**2 - 4*v**g.
-4*(v - 2)*(v + 2)**2
Determine g so that -1028/9*g + 2/9*g**2 + 1022/3 = 0.
3, 511
Solve -78*a - 156*a**4 - 428*a**3 + 20*a**3 + 4518 - 4518 + 174*a - 272*a**2 - 16*a**5 = 0.
-6, -2, 0, 1/4
Let a(m) be the first derivative of m**5/6 + 17*m**4/24 + m**3/18 - 17*m**2/12 - m - 396. Determine b, given that a(b) = 0.
-3, -1, -2/5, 1
Factor -4/3*x**2 - 3604/3*x - 1200.
-4*(x + 1)*(x + 900)/3
Let t(b) be the second derivative of -b**7/10080 - 11*b**6/360 - 121*b**5/30 + 5*b**4/4 - b**3/3 - 45*b. Let w(r) be the third derivative of t(r). Factor w(a).
-(a + 44)**2/4
Let i = -512811/2 - -256406. Factor 5/2*v - i*v**3 + 0 - 2*v**2.
-v*(v - 1)*(v + 5)/2
Let v(j) be the third derivative of 0*j + 8 + 1/780*j**6 + 11/390*j**5 + 4*j**2 - 1/13*j**4 + 0*j**3. Suppose v(r) = 0. Calculate r.
-12, 0, 1
Let z = 345 + -343. Suppose -8*x**5 - z*x - 18 - 18*x**3 - 8*x**5 + 52*x**2 + 11*x**3 - 40*x**4 + 5*x + 14*x**3 = 0. Calculate x.
-2, -1, 3/4
Let v(f) = -f**2 + 9*f + 72. Let q be v(14). Determine a so that -10*a**3 - 5*a**2 + 0*a**q + 12*a - 7*a = 0.
-1, 0, 1/2
Let c(l) be the third derivative of l**8/2688 + 59*l**7/336 + 9603*l**6/320 + 303831*l**5/160 - 323433*l**4/32 + 1472*l**2. Determine i so that c(i) = 0.
-99, 0, 2
Suppose -114/7*w + 1/7*w**2 - 351/7 = 0. Calculate w.
-3, 117
Let n(w) = w**3 - 13*w**2 + 11*w + 12. Let u be n(12). Suppose -p = -u*p - 6. Find g such that 13 - 40 + 2 - 10*g + p*g**2 - 7*g**2 = 0.
-5
Let s = 722 + -688. Suppose 4*z - s + 18 = 0. Factor 2/5*v**z - 4/5*v**3 + 0 + 0*v**2 + 0*v + 2/5*v**5.
2*v**3*(v - 1)*(v + 2)/5
Let b(l) be the first derivative of -2*l**3/9 + 34*l**2 + 416*l/3 - 379. Factor b(f).
-2*(f - 104)*(f + 2)/3
Let i = -73 - -75. Suppose n - 9 = -2*s, 4*n + 4*s = i*s + 60. Factor 2*o**2 + 14*o + n*o - 14*o + 98 + 11*o.
2*(o + 7)**2
Let z(x) = -17*x**4 + 276*x**3 + 278*x**2 - 300*x - 301. Let l(m) = -2*m**4 - m**3 - m**2 - 2*m - 2. Let g(p) = 24*l(p) - 3*z(p). Factor g(r).
3*(r - 285)*(r - 1)*(r + 1)**2
Let c(i) be the third derivative of 1/120*i**5 + 0*i**3 - 1 - 97*i**2 + 31/48*i**4 + 0*i. Factor c(t).
t*(t + 31)/2
Let h(x) be the first derivative of x**4/14 - 10*x**3/21 - 521*x**2/7 + 150*x + 6323. Determine w, given that h(w) = 0.
-21, 1, 25
Let x(z) be the third derivative of -13/6*z**3 + 1/360*z**6 + 0 + 1/30*z**5 + 0*z - 4*z**2 + 1/6*z**4. Let f(v) be the first derivative of x(v). Factor f(d).
(d + 2)**2
Let f be (-150)/(-4) + 30/(-12) + 2. What is i in i**4 - f*i**3 + 2 + 23*i**3 - 5 + 18*i**3 - 4*i + 2*i**2 = 0?
-3, -1, 1
What is d in -4*d**4 - 4/7*d**5 + 0 + 108/7*d**2 - 4/7*d**3 - 72/7*d = 0?
-6, -3, 0, 1
Let r(k) = -2*k**2 + 3*k - 31. Let h be r(3). Let m be (-171)/(-56) - 5*3/h. Find j such that -m*j**2 - 8*j**3 + 0*j + 0 + 10/7*j**4 = 0.
-2/5, 0, 6
Suppose -5*b - h + 32 = h, 16 = 4*b + 4*h. Factor -38 - 3*w**2 - 9*w + 12*w + b + 30*w.
-3*(w - 10)*(w - 1)
Factor -574/3*y - 2/3*y**3 + 380/3 + 196/3*y**2.
-2*(y - 95)*(y - 2)*(y - 1)/3
Let y(t) = t**2 + t. Let q be y(-3). Suppose -q*u + 22 = 4. Determine m, given that 9*m**2 - 5*m**u - 12*m + 3*m**3 + 3*m**2 - m**3 = 0.
0, 2
Suppose -5*v - 2*x = -47, 4 - 11 = -v - x. Find h, given that 8*h**4 - 17*h**2 - 18*h**2 - v*h**2 - 48*h + 4*h**5 + 17*h**2 - 28*h**3 - 51*h**2 = 0.
-2, -1, 0, 3
Let l = 6 + -4. Suppose 155*g - 164*g + 45 = 0. Determine p so that -24*p**4 + 128/5 + 448/5*p | {
"pile_set_name": "DM Mathematics"
} |
t are the prime factors of 282188160?
2, 3, 5, 48991
What are the prime factors of 624882170?
2, 5, 11, 23, 61, 4049
What are the prime factors of 2642997674?
2, 4129, 320053
List the prime factors of 212696239.
7, 31, 37, 59, 449
What are the prime factors of 1405929681?
3, 13, 19, 632447
List the prime factors of 836837428.
2, 7, 23, 1299437
List the prime factors of 41954604.
2, 3, 3496217
List the prime factors of 6245622.
2, 3, 59, 5881
List the prime factors of 2080707198.
2, 3, 346784533
What are the prime factors of 89534971?
17, 751, 7013
List the prime factors of 2165317427.
7, 13, 61, 390077
List the prime factors of 313953211.
11, 13, 113, 19429
List the prime factors of 310374149.
227, 409, 3343
What are the prime factors of 212927445?
3, 5, 23, 409, 503
List the prime factors of 10543919.
89, 118471
What are the prime factors of 79116599?
79116599
What are the prime factors of 451637418?
2, 3, 75272903
List the prime factors of 3797278107.
3, 7, 180822767
List the prime factors of 242304969.
3, 307, 263089
What are the prime factors of 488175909?
3, 13, 347, 36073
What are the prime factors of 783585871?
23789, 32939
List the prime factors of 43274613.
3, 3677, 3923
What are the prime factors of 1110896451?
3, 7, 1959253
List the prime factors of 1701744504.
2, 3, 31, 2287291
List the prime factors of 1023122901.
3, 337, 661, 1531
List the prime factors of 102143263.
102143263
List the prime factors of 891653632.
2, 1741511
What are the prime factors of 80830953?
3, 7, 142559
What are the prime factors of 1252248407?
17, 367, 200713
What are the prime factors of 6280249818?
2, 3, 421, 2486243
What are the prime factors of 1665382651?
31, 53722021
What are the prime factors of 71164053?
3, 7907117
What are the prime factors of 373212549?
3, 13822687
What are the prime factors of 39890900?
2, 5, 7, 1163
What are the prime factors of 147607343?
13, 103, 110237
List the prime factors of 148956015.
3, 5, 13, 461, 1657
What are the prime factors of 1548576139?
11, 31, 1013, 4483
What are the prime factors of 11130001?
11130001
List the prime factors of 3411590079.
3, 269, 593, 7129
List the prime factors of 5621711.
577, 9743
List the prime factors of 215992804.
2, 53998201
List the prime factors of 5132593147.
11, 241, 1936097
List the prime factors of 4573244212.
2, 587, 1947719
What are the prime factors of 84742822?
2, 42371411
List the prime factors of 1121005563.
3, 373668521
What are the prime factors of 2537503235?
5, 507500647
List the prime factors of 1199214390.
2, 3, 5, 11, 3633983
What are the prime factors of 466337414?
2, 157, 1163, 1277
What are the prime factors of 166563304?
2, 20820413
List the prime factors of 1143202997.
29, 39420793
List the prime factors of 494860266.
2, 3, 79, 12889
What are the prime factors of 730698633?
3, 7, 89, 18617
What are the prime factors of 1526266423?
11, 997, 139169
What are the prime factors of 82628590?
2, 5, 11, 53, 14173
What are the prime factors of 2452623611?
317, 383, 20201
What are the prime factors of 978970555?
5, 195794111
What are the prime factors of 742798364?
2, 7, 11, 293, 8231
What are the prime factors of 630269441?
17, 29, 1278437
List the prime factors of 28826190.
2, 3, 5, 320291
List the prime factors of 415286491.
719, 577589
What are the prime factors of 2939333?
47, 62539
List the prime factors of 6678637912.
2, 181, 4612319
What are the prime factors of 1013715871?
7, 239, 86561
List the prime factors of 2474727851.
79, 31325669
What are the prime factors of 2816523973?
131, 1109, 19387
List the prime factors of 147842835.
3, 5, 7, 1408027
What are the prime factors of 4429873204?
2, 1107468301
List the prime factors of 1565694116.
2, 7, 577, 96911
What are the prime factors of 568893274?
2, 284446637
List the prime factors of 505979611.
19463, 25997
List the prime factors of 499226607.
3, 11, 17, 37, 8017
List the prime factors of 723196207.
97, 7455631
What are the prime factors of 927153646?
2, 463576823
What are the prime factors of 909841276?
2, 227460319
List the prime factors of 34710133.
211, 164503
List the prime factors of 45208740.
2, 3, 5, 401, 1879
What are the prime factors of 1805037590?
2, 5, 180503759
What are the prime factors of 841942056?
2, 3, 35080919
What are the prime factors of 5239871880?
2, 3, 5, 137, 139, 2293
What are the prime factors of 55342908?
2, 3, 883, 1741
List the prime factors of 19452732.
2, 3, 13, 19, 6563
What are the prime factors of 1182305683?
13, 31, 43, 68227
What are the prime factors of 204073785?
3, 5, 4534973
What are the prime factors of 392907733?
31, 47, 8699
List the prime factors of 106161052.
2, 26540263
List the prime factors of 73248640.
2, 5, 114451
What are the prime factors of 5740817219?
5740817219
What are the prime factors of 98144930?
2, 5, 13, 47, 16063
List the prime factors of 74186165.
5, 19, 269, 2903
List the prime factors of 509263482.
2, 3, 7, 13, 229, 4073
List the prime factors of 94509161.
94509161
What are the prime factors of 86701677?
3, 29, 996571
What are the prime factors of 58202693?
43, 1353551
What are the prime factors of 3567674086?
2, 1783837043
What are the prime factors of 352804636?
2, 23, 3834833
List the prime factors of 624766317.
3, 7, 4250111
What are the prime factors of 146051539?
17, 1103, 7789
List the prime factors of 2371785582.
2, 3, 395297597
List the prime factors of 5146197609.
3, 7, 35008147
List the prime factors of 4344016791.
3, 317, 4567841
List the prime factors of 1938793789.
1938793789
List the prime factors of 109820186.
2, 7, 151, 51949
List the prime factors of 539560964.
2, 134890241
What are the prime factors of 542287365?
3, 5, 36152491
What are the prime factors of 10993937?
10993937
List the prime factors of 1224539497.
41, 29866817
What are the prime factors of 23469032?
2, 2933629
What are the prime factors of 357763148?
2, 1009, 88643
List the prime factors of 5831123217.
3, 1943707739
What are the prime factors of 406127846?
2, 47, 4320509
List the prime factors of 296743439.
31, 9572369
List the prime factors of 1520523744.
2, 3, 23, 79, 379
What are the prime factors of 820425004?
2, 7, 29300893
List the prime factors of 31966630.
2, 5, 17, 43, 4373
What are the prime factors of 776709444?
2, 3, 7, 137, 67493
What are the prime factors of 956964630?
2, 3, 5, 31898821
List the prime factors of 70069689.
3, 7785521
List the prime factors of 256355259.
3, 85451753
What are the prime factors of 3711535269?
3, 13, 103, 199, 4643
List the prime factors of 1207971178.
2, 23, 1723, 15241
What are the prime factors of 1181002508?
2, 7, 860789
List the prime factors of 625098134.
2, 331, 944257
List the prime factors of 497092258.
2, 13, 19118933
What are the prime factors of 25901901?
3, 29, 99241
What are the prime factors of 6816926?
2, 241, 14143
List the prime factors of 582353769.
3, 10531, 18433
What are the prime factors of 1646188026?
2, 3, 7, 229, 499
What are the prime factors of 6802093165?
5, 7, 194345519
What are the prime factors of 463959782?
2, 11, 13, 449, 3613
What are the prime factors of 122707039?
7, 13, 113, 11933
What are the prime factors of 1621498008?
2, 3, 13, 43, 120863
List the prime factors of 8431285.
5, 1686257
List the prime factors of 2649728981.
8291, 319591
List the prime factors of 898996001.
19, 31, 1091, 1399
What are the prime factors of 44182369?
7, 11, 81971
List the prime factors of 1091134900.
2, 5, 31, 523, 673
List the prime factors of 27072027.
3, 83, 36241
What are the prime factors of 145340305?
5, 11, 59, 44789
List the prime factors of 2669879226.
2, 3, 7, 37, 1718069
What are the prime factors of 3205084102?
2, 11, 6571, 22171
What are the prime factors of 511513665?
3, 5, 13, 2623147
List the prime factors of 88704714.
2, 3, 7, 2112017
List the prime factors of 819892258.
2, 1327, 308927
List the prime factors of 2558185586.
2, 11, 7927, 14669
What are the prime factors of 1692357224?
2, 211544653
What are the prime factors of 322255627?
29, 11112263
What are the prime factors of 714989834?
2, 13, 27499609
What are the prime factors of 939606219?
3, 1153, 90547
List the prime factors of 450123.
3, 150041
List the prime factors of 199435267.
19, 107, 263, 373
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
e -6*x - 6*a - 4*a = 620, -202 = -82541*x + 82546*x - 3*a + 6*a for x.
-5
Solve -s - 230 = 3*r - 182, 0 = 2*r - 5*s - 172 for r.
-4
Solve -8*f - 2720 = -4*k - 2628, 2*f - 35*k = -533 for f.
-4
Solve -10 = -3*b + 15*m - 31, -21 = -5*b + 9*b + 2*m + 51 for b.
-17
Solve -t - 2*r - r - 2768 + 2761 = 0, 62 = -6*t + 2*r for t.
-10
Solve -65*z - 25 = -0*c - 4*c, 10 + 12 = 1236*c - 1238*c - 3*z + z for c.
-10
Solve 2*p - 8*o - 2 = 10, 96*o - 4 = 92*o for p.
10
Solve 359 = 3*o + 83*u + 12*u, 4*o - 2*o + 18 = u for o.
-7
Solve 5*v - 487*r + 165*r + 160*r = -156*r + 79, 65 = 4*v - 3*r for v.
17
Solve 5*v + 7*v - 178*s - 7*s - 735 = 10*v - 3*v, -15 = -v + 4*s for v.
-1
Solve 25561*m - 22*w + 88 = 25562*m, m - 3*w + 12 = 0 for m.
0
Solve -40 - 10 = -5*w - 5*b, 317811 = 2*w + b + 317796 for w.
5
Solve -a - a - 49 = 5*b - 16, 7*b + 48*b = -a + 36 for a.
-19
Solve 470*g = 4*t + 469*g + 24, -3*g + 57 = -9*t for t.
-5
Solve -5*h + 10*h - 8*h = 41*m + 88, -10 = 5*h for m.
-2
Solve d - 2*d - 5698*z + 5699*z + 7 + 2 = 0, 6*d = -4*z + 104 for d.
14
Solve 6 = -2*l - 2*x, -40 = -10*l + 4*x - 38 + 38 for l.
2
Solve 2*s - 3*s - 6 = 2*o, 33*o - 157 = s - 22*o + 20 for s.
-12
Solve 5*g = 3*x - 105, 15593*g = 15601*g + 3*x - 105 for g.
0
Solve 2*n - u + 10 = n - 4, 4*u = n + 5*u - 18 for n.
2
Solve d + 3299*k - 3294*k = 8, -5*d = 7*k - 58 for d.
13
Solve 1573*m = 5*v + 785*m + 783*m, 5*v + 2*m - 35 = 0 for v.
5
Solve 5*a + 19 = 4*z, 2*a + 4385*z - 26 = 4390*z - 71 for a.
5
Solve 0 = 3*v + 21, -149*v = -t - 64*v - 87*v - 13 for t.
1
Solve 16*q - 3*h - 81 = 22*q, -79 = -4*q + 5*h for q.
-4
Solve -b - 433959*h + 433955*h - 88 = 0, -5*b - 9*h = 187 for b.
4
Solve -2*b + 10*b - 3*b - 12*t + 7*t + 80 = 0, -53 = 2*b - 7*t + 79 for b.
4
Solve -22 = -11*t - 9*q, -36490 = 2*t + q - 36494 for t.
2
Solve 2*m - 75 = -p + 17 + 5, 3*p - 195 = -4*m for p.
1
Solve -14074102 + 14074000 = -3*p - 8*n, -164 = -4*p - 13*n for p.
2
Solve k - 3*t + 0*t - 92 = -0*k, 204*k = 171*k - 7*t - 250 for k.
-1
Solve -369 + 365 = 4*u - 4*q, 7*q + 9 = 5*u + 22 for u.
3
Solve -2*a - a + 1128 = -385*x, -3*x = 4*a - 1056 + 1101 for x.
-3
Solve 28 = -3*g + 73*h - 68*h, 0 = -2*g + 36*h + 14 for g.
-11
Solve 59 = 4*t - 0*d + 5*d, 994*t - 1001*t - 3*d = -17 for t.
-4
Solve -8*n + 33463 = -6*k + 33447, k + 9 = -5*n for n.
-1
Solve -w = 3*b + b - 5*w + 32, -6*b - 38 = -15029*w + 15024*w for b.
2
Solve 3*c = -5*o - 48, -61*c + 7*o = -59*c - 92 for c.
4
Solve -5*y + 31*w + 336 = 0, -4068*y + 4069*y + 8*w = -2*w + 8*w - 23 for y.
-1
Solve -c + 0 = d - 9, -9*c + 15*d = -12*c - c - 8 for c.
13
Solve 9186*p - 53 = -26*m + 9181*p, 3*m - 2*p + 30 + 18 = 0 for m.
-2
Solve 3*d + 3*d - 9*d - 3*v = -24, 8*d = 11*v + 26 for d.
6
Solve -3*a = -y - 22, -3*a - 142367*y = -142365*y + 80 for a.
-4
Solve -7*i = -l - 321, -8*i - 123*l + 127*l + 364 = 0 for i.
46
Solve -5*r + 20 - 155 = 0, 4388*r = -3*p + 4422*r + 915 for p.
-1
Solve 190430*t - 5 = 190431*t, 2*p = -2*t for p.
5
Solve 2 = 3*m + 4*s, 73*m - 44*m - 25*m = -2*s + s + 7 for m.
2
Solve -9*q - 4*w + 59 = 0, 2*w = -71*q + 75*q - 3*w - 33 for q.
7
Solve -4*t - 3*c + 10 = 0, -880*c + 885*c = -t - 6 for t.
4
Solve 40652*w - 40655*w = 3, 9 = 5*n + w for n.
2
Solve 4*b - 149 = -2*b + y - 35, 0 = -9*b + y + 171 for b.
19
Solve -16 = -2*d, -48074 + 48108 = 2*s + 4*d for s.
1
Solve -66 = 8*f + 2*a, 101 = 4*f + 3*a + 136 for f.
-8
Solve -i + 4*i + 2*v + 84 - 122 = 0, 3*i + v - 37 = 0 for i.
12
Solve 1092 = 3*o - 10*d - 5*d, 279*o - 5*d = 275*o + 376 for o.
4
Solve -130*l + 126*l - 6 = 2*s, -11 = -l - 3*s for l.
-4
Solve -8*r + 5*b - 190 = 0, 76 = 3*r + 299*b - 297*b for r.
0
Solve 1267*i - 1278*i - 4*k = -225, -3*k + 88 = 4*i for i.
19
Solve -4*d + 12 = p, 0 = 4*d - 2*p + 14*p + 21*p - 140 for d.
2
Solve 6127*d - 6131*d - 142 = -2*n, n + d + 40 = 0 for n.
-3
Solve 4*n = 3*h - 23 + 19, -56 + 14 = -4*h - 2616*n + 2614*n for h.
8
Solve 2*p - 4*g = 4, -45692*p + 2 = -45690*p - 3*g for p.
-2
Solve 2*g - 2977*p + 33 = -g - 2975*p, -8*g = -2*g + 6*p + 96 for g.
-13
Solve -8*t + 0*t = -10*t + 3*l + 15, 4*t - l - 35 = 0 for t.
9
Solve -10*s - 7495*f + 7497*f - 58 = 0, -4*s = 3*f + 27 for s.
-6
Solve -40 = 23448*r - 23444*r + p, 4*p = 2*r + 38 for r.
-11
Solve 14*n = 10*n - 9*f - 41, -5 = 5*n - 9*f + 11*f for n.
1
Solve -3*z + 158 - 318 = v - 149, z = 3*z + 7*v - 37 for z.
-6
Solve 2*q + 3*i + 96 = 109, 5*i - 20 = -3*q for q.
5
Solve 25*f - 64*f + 38*f = 3*c - 22, 0 = 4*c - 5*f + 15 for c.
5
Solve -5*v + 22 = v + 2*r + 4 - 30, 0 = 4*v - r - 32 for v.
8
Solve 8*u + 5*y - 4845 + 5306 = 0, 5*u = -3*y - 0*y - 2*y - 290 for u.
-57
Solve -4*k = 14*x + 296, k + 32 = 3*k - 2*x for k.
-4
Solve -2*v - 36 = 4*a, -125*a + 126*a = 8*v + 93 for v.
-12
Solve 7*a = -t - 147 + 6 + 313, -6*a = -4*t - t - 165 for t.
-3
Solve 32*u - 64*u + r - 61 = -35*u, 4*u + 2*r - 84 = 0 for u.
19
Solve 15697*w - 15702*w = -2*y + 11, 3*y + 15 = -3*w for w.
-3
Solve -18 = 254*n - 2*w, -112*n - 4*w + 36 = -113*n for n.
0
Solve 0*v + 85 = v - 3*w, -22*v + 2150 = -5*w + 6*w + 3*w for v.
97
Solve -o + 40 = 2*f - 4*o - 0, 13*f - 2*o - 190 = 0 for f.
14
Solve 4*x - 112 + 69 = -4*n - 71, -2*n - 4 = 0 for x.
-5
Solve -4*s - 109 + 5 = 4*y, -2*s + 128 = -189*y + 185*y for y.
-30
Solve n + 47 = -15*f - 2*n - 16, 0 = -5*f - 3*n - 83 for f.
2
Solve -87*b - 13 = -92*b + d + 97, -8*b + 209 = 5*d for b.
23
Solve 5*w - 7 = -f, 62 - 43 = f - 5*w + 7*w for f.
27
Solve 5*m - 1 = -r, m + 0*m - 14436 + 14459 = -6*r for m.
1
Solve -3*t + b = -34, 0 = -4*t - 17*b + 19 - 8 + 71 for t.
12
Solve 0 = -z - 4*b - 24, 2*z + 309628 - 309658 = -z + 5*b for z.
0
Solve 30*c + 179 = -4*k - 32*c + 112*c - 43*c, -c = k + 42 for k.
-43
Solve -3*f + 562 = -187*h - 545, 16*f - 12*f = -20 for h.
-6
Solve -20 = -2*k - 0*k - 4*j, -4*k + 1703 - 1723 = -7*j for k.
2
Solve 7*g + 4*i + 74 - 177 = 0, 124 = 4*i for g.
-3
Solve -5*c - 3*f + 138 = 124, -556*c + f = -559*c - 2 for c.
-5
Solve -2*j = 13*n + 50, 2 = -72*j + 70*j - n for j.
1
Solve 5*k + 21*u = 23*u - 95, 89*k + 4*u = 84*k + 115 for k.
-5
Solve -4*b + 4 = f, 4*f + 44 = -6*b + 10*b - 5*f for b.
2
Solve 0 = 596*q - 593*q + 7*x + 34, 218 - 31 = -9*q - 4*x for q.
-23
Solve -5*j = 30*z + 10, 0 = -z - 283983*j + 283984*j - 5 for z.
-1
Solve 22 = -3*j - 2*h - 3, 146*j - 3*h - 491 = 344 - 45 for j.
5
Solve 32*g = 3*q - 171, 4*q = -212*g + 208*g + 88 for g.
-3
Solve 7*c - 3*c = u - 6*u + 57, 11*u - 31 = 3*c for u.
5
Solve 3*z - 3*d + 1165755 - 1165725 = 0, 16*z - d + 100 = 0 for z.
-6
Solve 80*c = 35*u + 76*c + 68, -2*u = -5*c + 85 for u.
0
Solve -3*d + 2 = 5*p, 2 = -3*p + 55*d - 30*d - 26*d for p.
-2
Solve 12 = 2*x - 169*w + 171*w, 6 = 4*x - 2*w for x.
3
Solve 2905*r - 16*u = 2908*r + 34*u + 156, -3*r + 3*u + 3 = 0 for r.
-2
Solve -5*o + 5*b = -35, -26*o - 1983 = 4*b - 3823 + 1928 for o.
-2
Solve -3*m - 22*m + 7*a + 63 = -23*m, 3*m + 4*a = -36 for m.
0
Solve -4*w = -27*o + 26*o + 4*w + 470, 2*o - 232 = 4*w for o.
-2
Solve -15*l + z + 47 - 32 = -12*l, 14*l + 75 = -5*z for l.
0
Solve 2*j + h - 19210 = -19190, 0 = 5*j - 3*h + 5 for j.
5
Solve h + 205*s - 208*s = 4*h + 36, 4*h - 47 = 15*s for h.
-7
Solve 614*v + z + 35 = 617*v, 4*v - 40 = 3*z for v.
13
Solve -b = -2*x - 1948 + 1958, -6*b - 42 - 72 = 3*b - 6*x for b.
-14
Solve -2*n - 13 + 47 = 4*b, -4545*b + 5*n - 50 = -4548*b for b.
5
Solve 2*g + 0*a + 15268 = -g - 4*a + 15227, -11 = 9*g - 6*g - 2*a for g.
-7
Solve 10*y + 2098 = 3*n + 2058, -4*n = -4*y - 72 for y.
2
Solve -3448*s + 3451*s - 26*k = 140, 3*s - 16 = -5*k for s.
12
Solve -2*m + 5*m - 3*d - d - 93 = -3*d, -5*d = -19*m + 585 for m.
30
Solve 0 = -14*s - 3*d + 52, -16*s = -9*s - 11*s - 10*d - 40 for s.
5
Solve y = 5*p + 105, 276*y + 284*y - 558*y - 130 = 6*p for p.
-20
Solve 3*q - 4*a = -191, -220 + 405 = -5*q + 4*a for q.
3
Solve 2*j = 2*n + 12, -973*j + 10 = -968*j - 25 for n.
1
Solve 23*v + 20 + 58 = 12*v + 7*v + 18, -a - 163 = 11*v for a.
2
Solve 634*j + 10 = -3*r + 638*j, 1 = j for r.
-2
Solve 3*l = -0*l + l + 2, -x + 5*x + 9*x = 3*l - 146 for x.
-11
Solve 2*v = 10607*z - 10603*z + 24, 0 = -2*z - 3*v + 76 for z.
5
Solve -8*v - 26 = 5*d + 38, -2*v - d - 141 = -125 for v.
-8
Solve -5*f - 3*b + 70 + 24 = -11, 4*f = 3*b + 84 for f.
21
Solve -3*v + 2*r + 348 = 416, 0 = -3*v + 70*r - 340 for v.
-20
Solve -5*g - 2*o = | {
"pile_set_name": "DM Mathematics"
} |
16, what is c9 - 3b?
8e
In base 3, what is 1 - -11102021?
11102022
In base 2, what is -10100111 - -10?
-10100101
In base 4, what is 20 + -130?
-110
In base 15, what is 210 - 2?
20d
In base 7, what is -64 + 1?
-63
In base 9, what is -82 + 4?
-77
In base 10, what is 10 + 362?
372
In base 15, what is 2 - -b0?
b2
In base 9, what is -4 - 13?
-17
In base 13, what is -87 - -1?
-86
In base 9, what is -1 - 866?
-867
In base 7, what is -21 + 3365?
3344
In base 9, what is -11 + -2?
-13
In base 6, what is -51 - 4?
-55
In base 16, what is -c + 134?
128
In base 15, what is 2 - 148?
-146
In base 10, what is -3 - 2226?
-2229
In base 9, what is 5 - 1203?
-1187
In base 14, what is -13c - 15?
-153
In base 12, what is 42 + -2?
40
In base 12, what is b2b - -2?
b31
In base 14, what is -ac2 - -5?
-abb
In base 10, what is -1 - 499?
-500
In base 8, what is -4575 + -2?
-4577
In base 11, what is 3a + -7?
33
In base 15, what is 91 + -93?
-2
In base 3, what is -211021 - -10?
-211011
In base 16, what is db - -1?
dc
In base 2, what is -10000001001 - 1?
-10000001010
In base 9, what is 5 - 180?
-174
In base 14, what is 13 + 2b?
40
In base 9, what is -221 - 3?
-224
In base 9, what is 0 + 1314?
1314
In base 5, what is -2 - -13043?
13041
In base 13, what is 9b - -73?
141
In base 16, what is -1 + -c5?
-c6
In base 16, what is -20 + 20?
0
In base 6, what is -4 - 5552?
-10000
In base 13, what is -5 - -1654?
164c
In base 2, what is -10100 - -1001?
-1011
In base 12, what is 22 - 16?
8
In base 11, what is -2 - -2?
0
In base 16, what is 229b - -1?
229c
In base 13, what is 4 + -52?
-4b
In base 7, what is 14256 - 2?
14254
In base 9, what is -1 - -36?
35
In base 11, what is 76 - 0?
76
In base 11, what is 1809 - -1?
180a
In base 10, what is 1834 + 0?
1834
In base 13, what is -2a + 0?
-2a
In base 13, what is -37c - -4?
-378
In base 6, what is -31304 + -1?
-31305
In base 14, what is -27 + -19?
-42
In base 6, what is -15 - 124?
-143
In base 4, what is 2 - 1232?
-1230
In base 10, what is 10 + 145?
155
In base 8, what is -3 + 247?
244
In base 16, what is -5 + -1fe?
-203
In base 2, what is -10 - -11101101?
11101011
In base 6, what is -1522 - 0?
-1522
In base 3, what is 10 - 102?
-22
In base 5, what is 420 - 0?
420
In base 10, what is 6 - 1261?
-1255
In base 11, what is -12 + -38?
-4a
In base 8, what is -137 - 6?
-145
In base 4, what is -1 - -3232?
3231
In base 16, what is ab - -2?
ad
In base 2, what is -100 - -110111000?
110110100
In base 9, what is -4 + 1180?
1175
In base 11, what is -13147 + 5?
-13142
In base 2, what is 11 - 110101001?
-110100110
In base 10, what is -4 + 540?
536
In base 4, what is -11 - 213232?
-213303
In base 9, what is -13 + -5?
-18
In base 5, what is -1 + 12042?
12041
In base 6, what is 50 + -24?
22
In base 3, what is -1112 + -12?
-1201
In base 5, what is 3403 + 3?
3411
In base 6, what is 2423 - -13?
2440
In base 8, what is 4 - 15024?
-15020
In base 12, what is 2 + -5a?
-58
In base 15, what is -1a - -3?
-17
In base 7, what is -1014 - 5?
-1022
In base 16, what is -bd6 + 2?
-bd4
In base 3, what is 2210111 + -12?
2210022
In base 16, what is 1d + -61?
-44
In base 6, what is -12 - 1?
-13
In base 7, what is 62 + 101?
163
In base 13, what is -55 + 9?
-49
In base 7, what is -56564 + -3?
-56600
In base 2, what is -1001 - -101011100?
101010011
In base 3, what is -10 + -1110121?
-1110201
In base 14, what is -31 - -6?
-29
In base 16, what is -5 - 17d7?
-17dc
In base 9, what is 115 - -35?
151
In base 11, what is -1 - 402?
-403
In base 13, what is 0 - -c8b?
c8b
In base 7, what is -6 - 46?
-55
In base 11, what is -63 - 9?
-71
In base 13, what is 6 - -2c?
35
In base 6, what is 1 - -3213?
3214
In base 3, what is -10021 + -11?
-10102
In base 8, what is -4 + 11?
5
In base 4, what is 11310 + 10?
11320
In base 15, what is -7 + -2?
-9
In base 9, what is -3 - 50?
-53
In base 14, what is -8 + -dc?
-106
In base 9, what is -1877 + 5?
-1872
In base 4, what is 1 - -1311031?
1311032
In base 11, what is 2 + 17?
19
In base 4, what is -2 - 30013?
-30021
In base 11, what is -3 + -31?
-34
In base 4, what is -23 + 313?
230
In base 16, what is 3 - f4?
-f1
In base 10, what is 1 - 1332?
-1331
In base 15, what is -3 + 47?
44
In base 9, what is 4 - -26?
31
In base 5, what is -24 + 1?
-23
In base 13, what is -a - 46?
-53
In base 10, what is -306 + 1?
-305
In base 6, what is -15 - -14?
-1
In base 8, what is 472 - -1?
473
In base 13, what is -3ba + -1?
-3bb
In base 16, what is dd - -4?
e1
In base 5, what is -4 + 3331?
3322
In base 9, what is 1 + -75?
-74
In base 9, what is -6 + 60?
53
In base 13, what is -5a + 31?
-29
In base 6, what is 2 - 41035?
-41033
In base 6, what is 3 + 54?
101
In base 14, what is 3 + -30?
-2b
In base 8, what is -72 + -2?
-74
In base 12, what is -2 - 3370?
-3372
In base 12, what is 1 - -9?
a
In base 3, what is -11 + -211012?
-211100
In base 11, what is -67 + 3?
-64
In base 11, what is -60 + -87?
-137
In base 12, what is -7 + -28?
-33
In base 3, what is -2101 - 10?
-2111
In base 16, what is -821 - -2?
-81f
In base 7, what is -162 + 13?
-146
In base 6, what is -4 - 2435?
-2443
In base 4, what is -121123 + -10?
-121133
In base 7, what is 316301 + 3?
316304
In base 4, what is -2032 - 1?
-2033
In base 5, what is 0 - 133230?
-133230
In base 6, what is 124432 - -3?
124435
In base 14, what is -d + -54?
-63
In base 11, what is -5 + -346?
-350
In base 4, what is 1 + -22233?
-22232
In base 9, what is -15 - 3?
-18
In base 15, what is 2a + 5?
30
In base 4, what is -110033 + 1?
-110032
In base 16, what is -5 + -41?
-46
In base 2, what is -101 + -10110001?
-10110110
In base 12, what is 1 + -21a?
-219
In base 5, what is -2 + 122?
120
In base 11, what is 101 - -3?
104
In base 9, what is -5477 + 2?
-5475
In base 5, what is 23 - -1112?
1140
In base 10, what is 2 - -87?
89
In base 2, what is 1000100 - 11111?
100101
In base 2, what is -11 - 101?
-1000
In base 6, what is 2 + -5020?
-5014
In base 11, what is -5 + -34a?
-354
In base 6, what is 0 - 323?
-323
In base 10, what is -4753 + -5?
-4758
In base 10, what is 137 + 2?
139
In base 4, what is 0 + -1322?
-1322
In base 10, what is 3475 - 3?
3472
In base 4, what is 0 + -2232?
-2232
In base 14, what is 3 - 17?
-14
In base 13, what is 55 + 11c?
174
In base 3, what is -10 - -222?
212
In base 9, what is 208 + -48?
150
In base 13, what is 1 - -202?
203
In base 11, what is 2 + -70?
-69
In base 13, what is 4 + 1?
5
In base 16, what is 6 - -c?
12
In base 6, what is 10 - 11?
-1
In base 15, what is 25 + 3d?
63
In base 5, what is 142 + 42?
234
In base 11, what is -4 - 64?
-68
In base 8, what is -5 - 70?
-75
In base 12, what is -1 - 14b?
-150
In base 6, what is 1152 - 1?
1151
In base 7, what is 2506 + 0?
2506
In base 8, what is -65714 + -1?
-65715
In base 16, what is -1a5b + 4?
-1a57
In base 11, what is 79 - a?
6a
In base 2, what is 1110111100 + 1001?
1111000101
In base 8, what is -3 - 1271?
-1274
In base 12, what is -9 - -41b?
412
In base 2, what is 11 + 1111011101?
1111100000
In base 8, what is 2 - 3746?
-3744
In base 6, what is -2542 + -2?
-2544
In base 8, what is -61 + 2?
-57
In base 13, what is -4 - -22?
1b
In base 14, what is 7 - -b5?
bc
In base 4, what is 1 - 3103?
-3102
In base 10, what is 4 + -83?
-79
In base 3, what is 1 - -10012?
10020
In base 15, what is 86e8 - 0?
86e8
In base 13, what is 1191 - -3?
1194
In base 15, what is 5 + -28?
-23
In base 12, what is -4 - -61b?
617
In base 13, what is -14b - a?
-158
In base 8, what is -5 + -55?
-62
In base 11, what is 79 - 5?
74
In base 12, what is -2 - 169?
-16b
In base 9, what is 80 + -32?
47
In base 13, what is 8 - 62?
-57
In base 8, what is 126 + 51?
177
In base 10, what is 5 - 11?
-6
In base 12, what is -6 - -319?
313
In base 5, what is 0 - 4320?
-4320
In base 14, what is 5 + 14b6?
14bb
In base 12, what is 2 + -99?
-97
In base 2, what is 111 + -101010?
-100011
In base 12, what is a + -1?
9
In base 2, what is 11000101100111 - 100?
11000101100011
In base 7, what is -1 + -4604?
-4605
In base 15, what is -e + 8?
-6
In base 3, what is -101220 + 2?
-101211
In base 8, what is 207 - 1?
206
In base 16, what is 17 + -25?
-e
In base 4, what is -231 + 3?
-222
In base 3, what is 1111 + -10?
1101
In base 10, what is 106 - -38?
144
In base 8, what is -24 + 2?
-22
In base 5, what is -113311 - 4?
-113320
In base 16, what is -7bc - -3 | {
"pile_set_name": "DM Mathematics"
} |
+ n for m.
2
Let b(h) = -h**2 + 642*h - 49188. Let u be b(89). Let q be (-2)/(-9) + (-196)/(-9). Solve 0 = u*w - 18*w - q for w.
2
Let t(x) = -17*x**3 + 2*x**2 - 1. Let i be t(-1). Suppose 5 = 15*m - 40. Suppose -m*w + 16 = h, -5*h - w = -48 - i. Solve -h = 3*z - 4 for z.
-3
Suppose 11*x - 2*a = 5*x + 710, 4*a = -28. Solve 0 = -31*k + x + 8 for k.
4
Let u = 14 - 9. Let q(x) = -80*x - 639. Let n be q(-8). Solve n = u*o + 11 for o.
-2
Let g(m) = 6*m**2 - m - 5. Let i be g(-3). Let r be i/20 - 3 - 228/(-20). Solve r*t + 16 = 7*t for t.
-4
Suppose -8 = -h + 4*o, -4*h - 9 = -4*o - 17. Let j be ((h - -2)*-3)/(2 - 4). Solve 3 = 4*i + j for i.
0
Suppose 0 = -5*m + 9*c - 10*c + 316, 2*m + 4*c = 112. Suppose -5*a = -4*i - 314, -i + 2*i + 1 = 0. Let y = m - a. Solve s + 6 - y = 0 for s.
-4
Suppose -3*v + 3 = -6. Let l = 241 - 236. Suppose -2*k = -8, l*n - 12 = 21*k - 19*k. Solve 0 = n*h + 17 + v for h.
-5
Suppose 2*q - 8 = -2*q. Let x(f) be the second derivative of 43*f**3/6 + 129*f**2 - 363*f. Let s be x(-6). Solve s = -q*n - n - 6 for n.
-2
Suppose -300*j = -211*j. Solve j = 2*a + 21*a - 69 for a.
3
Let x be 0/((2 - 2) + 1). Suppose 67*l = 48*l + 190. Suppose 3*j + 14*c + 4 = l*c, 0 = 2*j + 3*c + 4. Solve x = -i + 2*i + j for i.
-4
Suppose -5*z + 15 = -5. Suppose z*p = -5*k - 128, 0 = -3*k + 5*k - 2*p + 62. Let n = k + 31. Solve -n*c = c for c.
0
Let t(z) = z**3 - 17*z**2 - 18*z. Let p be t(18). Suppose p = 12*b - 0*b - 60. Solve b*y - 12 = y for y.
3
Let u(m) = -m**2 + 5*m + 8. Let t be u(6). Suppose -14 = -t*c - 5*l, 0*l = -2*c + l + 26. Suppose -r = 3*r + 2*v - 14, c = 4*r + 4*v. Solve p + 6 = r*p for p.
2
Suppose 5*v - 24 = l, -3*v = -v + 4*l + 8. Suppose -20 = 18*n + 2*n. Let w be n/((4 - 8)/12). Solve h = -v + w for h.
-1
Let f be 5 - (-1)/(-2)*56. Let u = -6 - f. Suppose -l - 12 + u = 0. Solve 5 = -5*p - l for p.
-2
Suppose 915 = 126*g - 106*g - 1105. Solve -61*j - g + 406 = 0 for j.
5
Let c be (18938/510 - 37) + (-2156)/(-30). Solve 6*l - 96 = -c for l.
4
Suppose 87 = -j + 4*j. Let h be (-11 + 81)*(-3)/(-15). Solve -3*k - j = -h for k.
-5
Suppose 4*z - 196 = -a, 44 = 2*z - a - 60. Solve 33 = 61*p - z*p for p.
3
Suppose -5*i + 2*g + 438 = -4*i, -i = -g - 440. Let x = i - 439. Solve -x*m - 14 = -5 for m.
-3
Let j(m) = -978*m + 8823. Let v be j(9). Solve v*a = -143 - 25 for a.
-8
Suppose 1859 = 12*a - a. Let p = 172 - a. Solve -2*k + 5 = -p*k for k.
-5
Let z be 63/21 - ((-2)/(-1) - -149). Let b be 6 - z/(-24) - 26/(-12). Solve -r = b - 0 for r.
-2
Let c be 507/15 + ((-208)/(-40) - 6). Solve -c*y + 8 = 8 for y.
0
Let x(k) be the third derivative of k**4/3 + 142*k**3/3 - 245*k**2. Let c be x(-35). Solve 0 = -0*o - c*o for o.
0
Suppose 4*b - 794 = -u, -4*b = -100*u + 104*u - 776. Solve 0 = 23*m - 73*m + b for m.
4
Suppose 27*m - 35*m = -160. Let v(f) be the second derivative of -f**5/10 - f**4/6 + f**3/6 - f**2/2 - 3*f. Let d be v(-2). Solve d*p = -0*p - m for p.
-4
Let u = 1 - 1. Suppose u = x + x - 4. Suppose -9*n - 5 = 5*t, -11*t = -4*n - 12*t - 1. Solve n = -x*k + 7*k for k.
0
Let m = -16280 + 20047. Solve 0 = -12*f + 3707 - m for f.
-5
Let s(h) = -58*h + 527. Let p be s(9). Solve 0 = -8*l + 21 - p for l.
2
Let l = 2419 + -2142. Solve 283*c - 24 = l*c for c.
4
Suppose 16 = 3*x + 3*y + 13, 4*x - 40 = 5*y. Solve 2*p - x*p = -15 for p.
5
Let u be (-26)/195 - -13*3/(-45). Let r be (0 + u + 1)/((-25)/5). Solve r = -0*i + i + 3 for i.
-3
Suppose 234 = -2*k - 3*o, 0 = -8*o + 3*o - 10. Let w = 175 + k. Solve w = -4*n + 41 for n.
-5
Suppose 36*t + 177*t = 0. Solve 7*i + 42 - 14 = t for i.
-4
Let o be 6 + (6/(-1) - -3). Let r = -3 + 3. Let u(v) = 2*v**3 + 9*v**2 - 19*v - 4. Let y be u(-6). Solve -y*z - o + 9 = r for z.
3
Let i(f) = 6*f - 28. Let n be i(5). Suppose 3*y - 4*b + 20 = 7*y, 3*y - 13 = -n*b. Solve 0 = 3*g - 12 - y for g.
5
Suppose -2*i - 3*i - 9 = 3*b, -2*b + 5*i = -19. Suppose -b*f + 11*z + 20 = 10*z, -8 = 4*z. Solve 5 = -4*u + f*u for u.
1
Let c(n) = 2*n**2 - 5*n + 7. Let b be c(3). Suppose 18*q - b*q = 24. Solve -2*v + 7 = q for v.
2
Let m(d) be the second derivative of 13*d**4/6 - 155*d**3/6 - d**2 + 30*d. Let k be m(6). Solve 9 = k*i - 11 for i.
5
Suppose -10*o + 847 = o. Let f = o + -73. Suppose 4*x + 1 = -3*j, 0 = f*j - 2*x + 3*x - 16. Solve 8*h + j = 3*h for h.
-1
Suppose 0 = 281*o - 274*o - 126. Solve -20*s + o*s + 8 = 0 for s.
4
Let z(r) = 8*r + 59. Let n be z(-9). Let y = n + 17. Suppose 0 = -y*b + 5 + 23. Solve b + 2 = -3*l for l.
-3
Suppose 9*s = 10*s - 18. Let v be (s + -2 + 4 + -5)/3. Solve -10*j = -v*j for j.
0
Let h = 183 - 180. Suppose -21*m + h*m = -36. Solve 0 = -m*t + 3*t - 1 for t.
1
Let s be -8 + -7 + (-59)/(-1). Solve -4*p = 7*p - s for p.
4
Let k(v) = 17*v**3 - 2*v**2 - 34*v + 74. Let q be k(2). Solve -16*m - 54 + q = 0 for m.
5
Let m be (11/((-66)/39))/((-3)/6). Let l = 48 + -37. Solve -l*i - 4 = -m*i for i.
2
Let b be -12*(-2 - (-10)/4). Let t(j) = j - 4 + 20 + 6 + 2*j. Let k be t(b). Solve -p + k = p for p.
2
Let n = -43 - -45. Suppose -n*z + 73 = 3*m - 69, 5*m + 10 = 0. Let t = 85 - z. Solve 0 = -t*x + 14*x + 6 for x.
-2
Let r be (-3192)/(-684) - (2 - (-14)/(-6)). Let m be (4 - 16/4)/2. Solve m = -4*t + 3 + r for t.
2
Let l(a) = 2*a**3 - 9*a**2 - 4*a - 15. Let s be l(5). Let u be 7 + s/(6 - 4). Solve -u*p = -3*p + 5 for p.
5
Let v(t) = -t**3 + 16*t**2 + 3*t - 44. Let d be v(16). Let g(c) = 32*c + 738. Let j be g(-23). Solve h = j*h - d for h.
4
Let v(d) = -d**3 + 12*d**2 - 16*d + 135. Let h be v(11). Let j be (8/3)/(8/228). Let x = h - j. Solve p + x = -1 for p.
-5
Suppose 4*n + 5 = -5*w, -w - n + 3 = -4*w. Let p(d) = -53*d + 4. Let v be p(w). Suppose -5*j + v = -2*j. Solve 1 = -4*c - j for c.
-5
Suppose -110*m + 50*m = 371*m - 42238. Solve -m = -18*c - 62 for c.
2
Suppose -3303 + 263 = -38*j. Suppose -3*s + 49 = 3*b - 2*b, -5*s + j = 2*b. Solve -s*l + 10*l + 32 = 0 for l.
4
Suppose -590*k = -616*k + 104. Solve k = -50*b - 46 for b.
-1
Suppose 0 = -254*p + 14*p + 2160. Solve -p*h = 2*h + 55 for h.
-5
Suppose 0 = 3*j + 4*s - 15, -2*j - 3 = 4*s - 9. Suppose j = -k - 3*t, 5*k + 6 = -4*t - 6. Solve -2*o + 4*o - 10 = k for o.
5
Suppose 0 = -6*y + 7*y - 174. Let z be (-28)/(-10) + (y/(-30) - -6). Suppose -16*x + 18*x - z*a = 17, a - 13 = -4*x. Solve l = -x*l + 5 for l.
1
Suppose 3*d - k = 6, -6 = -5*d + 4*k + 4. Suppose -i - 5*i + 12 = 0. Suppose l + 6 = -4*c - 4, 5*c = -i*l - 8. Solve -l = d*q + q for q.
-2
Let g(d) be the third derivative of -d**4/12 - 4*d**3 - 37*d**2. Let b be g(-14). Solve z - 9 = -b for z.
5
Let n be 3957*(-1)/(-18) - (-10)/(-12). Suppose 44*u - n - 45 = 0. Solve -u*z + 16 + 2 = 0 for z.
3
Let o be 4 - ((-75)/12)/(1/8). Suppose 126 = 60*g - o*g. Solve g = 6*t + 3 for t.
3
Let g = 8926 - 8905. Suppose -2*j - 3*r + 22 = 0, 4*j + 10 = -r + 34. Solve 4*k = -g + j for k.
-4
Let c be ((-18)/24)/((-15)/6940). Let t = c + -342. Solve 0 = -t*b - 0*b + 20 for b.
4
Suppose -23 = -3*a - 3*t - 8, 0 = -2*a + 4*t + 28. Solve a*s = 5*s for s.
0
Let f = -59 - -71. Suppose f*t = 48 + 24. Solve -2*c + 2 + t = 0 for c.
4
Suppose -s - 11 = 5*o - 7, -5*s = 3*o + 20. Let y be (6 + -16)/(s/10). Solve 0 = r + 4*r - y for r.
5
Let w(l) = l**2 - 3*l - 4. Let n be w(4). Suppose -237*d + 238*d - 2*q - 6 = 0, -5*d - 4*q = -2. Solve -6 = -n*j + d*j for j.
-3
Let l be ((-46)/(-6))/((-37)/(-257 + 35)). Solve l*x + 32 = 38*x for x.
-4
Suppose 149*m - 778 = -240*m + 1167. Suppose 4*y = -11 + 35. Solve m*o - y*o = 0 for o.
0
Let v(i) = -5*i + 162. Let o(p) = 5*p - 163. Let l(j) = 3*o(j) + 4*v(j). Let m be l(19). Solve -2*a - m = 14*a for a.
-4
Let y(m) = 5*m**2 - 8*m + 7. Let z be y(1). Suppose -14 + 6 = 2*x + 4*u, 0 = z*x + 4*u + 4. Solve x*o = -o + 15 for o.
5
Let l(a) = a**3 + 3*a**2 + a. Let o(g) = 34*g**3 + 1. Let v be o(-1). Let b be v/(-22) - 3/2. Let m be l(b). Solve -15 = -m*t + 3*t for t.
-5
Let k = 36 + -42. Let b = 9 + k. Suppose b*f + r - 18 = 0, 4*f = 5*r - 0 + 5. Solve -f = 2*v + 3 for v.
-4
Let n(i) = 10*i**2 + 74*i - 33. Let g be n(-8). Suppose 0 = -3*b + b - 54. Let o be (2/(-3))/(9/b). Solve 5*p - g = o*p for p.
5
Suppose -5832 + 1829 - 5007 = -53*d. Solve -10*j - 230 = -d for j.
-6
Let k be 6/10 - 1185/(-25). Let a be (2 - (k/9 + -1))*-3. Solve a = z + 4 for z.
3
Let c be 17/(1292/3336) - (-2 + (-144)/(-76)). S | {
"pile_set_name": "DM Mathematics"
} |
349. Calculate n(6).
-2059
Let y(m) = -805*m - 15541. What is y(-19)?
-246
Let a(q) = 8962*q - 483916. What is a(54)?
32
Let q(g) = 320*g + 20439. Calculate q(-64).
-41
Let g(q) = 4174*q - 20875. Calculate g(5).
-5
Let p(k) = -3*k**2 + 82*k + 121. What is p(16)?
665
Let r(h) = 67*h**2 + 362*h - 56. What is r(-6)?
184
Let u(k) = 89*k + 2750. Give u(-27).
347
Let p(v) = -16*v**3 + v**2 - 201*v - 638. Calculate p(-3).
406
Let s(w) = -3*w**3 + 139*w**2 - 843*w - 63. Calculate s(39).
522
Let r(i) = -566*i - 1982. What is r(-3)?
-284
Let h(z) = -8359*z - 108706. What is h(-13)?
-39
Let j(h) = -7*h**2 + 97325*h + 1949302. What is j(-20)?
2
Let k(f) = 8*f**2 - 160*f + 100. Give k(19).
-52
Let u(f) = 334*f + 36411. What is u(-109)?
5
Let v(p) = 594*p**2 + 131*p - 132. Calculate v(1).
593
Let u(q) = -3*q**3 + 121*q**2 - 802*q + 29. Calculate u(32).
-35
Let k(f) = f**3 + 213*f**2 - 1536*f - 227. Determine k(-220).
-1107
Let w(f) = f**3 + 19*f**2 - 660*f + 1782. What is w(3)?
0
Let s(i) = 19002*i + 1026121. Determine s(-54).
13
Let z(q) = -1366*q - 75. Determine z(0).
-75
Let l(t) = -2*t**2 - 431319*t + 2587990. Calculate l(6).
4
Let x(k) = 697*k - 284354. Give x(408).
22
Let l(z) = 312*z**3 - 2803*z**2 - 30*z - 130. What is l(9)?
5
Let p(q) = 8*q**3 + 43*q**2 - 19*q + 59. Give p(-6).
-7
Let a(g) = 20*g**2 - 56*g - 799. Give a(8).
33
Let c(t) = 3036*t + 15190. Give c(-5).
10
Let g(a) = -88*a**3 - 526*a**2 + 25*a + 90. What is g(-6)?
12
Let n(u) = -98*u**3 - 13*u**2 - 25*u - 14. Determine n(-2).
768
Let c(f) = 189*f + 7016. What is c(-40)?
-544
Let y(x) = 10476*x - 230519. Determine y(22).
-47
Let i(b) = -62218*b + 23. Determine i(0).
23
Let u(t) = 2237*t - 1912638. Calculate u(855).
-3
Let u(l) = 22*l**2 + 2899*l + 2654. Calculate u(-131).
427
Let c(m) = -5*m**2 - 128*m - 1724. Give c(-17).
-993
Let q(h) = 8*h**2 - 1727*h - 19942. Determine q(-11).
23
Let k(c) = -111*c**2 - 293*c - 294. Determine k(-2).
-152
Let a(j) = 712*j**2 + 49*j + 47. Determine a(-1).
710
Let d(g) = 2*g**2 - 499*g - 719. Give d(251).
34
Let a(u) = -772*u + 4752. Determine a(6).
120
Let m(u) = -916*u - 18525. Determine m(-17).
-2953
Let o(q) = q**2 + 9099*q - 118471. Give o(13).
-15
Let s(c) = -c**3 - 65*c**2 - 156*c - 1187. Calculate s(-63).
703
Let g(n) = -n**2 - 56*n - 442. Give g(-47).
-19
Let g(p) = -2*p**2 - 198*p - 1828. What is g(-89)?
-48
Let p(m) = -5*m**2 + 210*m + 3193. Determine p(54).
-47
Let i(s) = -47525*s. Give i(0).
0
Let p(n) = -35661*n + 71647. Calculate p(2).
325
Let y(m) = 2187*m - 63178. Determine y(29).
245
Let o(m) = m**3 + 28*m**2 + 212*m + 1752. Determine o(-22).
-8
Let m(p) = -14*p**3 + p**2 - 17*p - 14. Determine m(-4).
966
Let p(u) = 7*u**3 + 2419*u**2 + 1379*u - 366. Calculate p(-345).
-21
Let b(j) = 3627*j + 137189. Calculate b(-38).
-637
Let f(o) = -401*o + 41215. What is f(103)?
-88
Let y(r) = r**2 + 154*r - 53712. Give y(167).
-105
Let q(w) = 542551*w - 16276524. What is q(30)?
6
Let i(b) = -1050*b - 947096. Give i(-902).
4
Let h(g) = g**3 + 104*g**2 + 69*g + 7370. What is h(-104)?
194
Let d(w) = -930*w - 49312. Give d(-53).
-22
Let s(q) = -3*q**3 - 156*q**2 - 1724*q + 77. Calculate s(-20).
-3843
Let m(g) = 33*g**2 - 2489*g - 19016. What is m(-7)?
24
Let n(x) = x**2 - 95498*x - 2005892. What is n(-21)?
7
Let g(s) = -204*s + 45245. Calculate g(221).
161
Let q(w) = w**3 - 128*w**2 + 261*w - 3333. What is q(126)?
-2199
Let p(l) = l**3 + 80*l**2 + 398*l + 435. Calculate p(-4).
59
Let b(i) = 2*i**3 - 4*i**2 - 2099*i + 10502. Calculate b(5).
157
Let x(k) = 32*k**2 - 298*k - 609. Calculate x(11).
-15
Let n(h) = -17*h**3 + 93*h**2 - 68*h - 17. Give n(1).
-9
Let o(a) = -5*a**2 + 424*a + 6973. Determine o(-14).
57
Let z(w) = -63097*w + 252406. Calculate z(4).
18
Let o(a) = 7*a**2 + 37*a - 524. What is o(-12)?
40
Let j(h) = 2*h**3 + 595*h**2 + 21656*h - 4841. Calculate j(-255).
4
Let w(s) = 2*s**3 - 26*s**2 - 181*s + 2193. What is w(13)?
-160
Let x(r) = -119195*r - 953557. Calculate x(-8).
3
Let y(q) = -33*q**2 + 3104*q - 41. Give y(94).
147
Let r(w) = -41*w**2 + 197*w - 35. What is r(5)?
-75
Let v(z) = z**3 + 383*z**2 + 6240*z + 6583. Give v(-366).
-5
Let n(d) = -3*d**2 - 13*d - 185. Determine n(-14).
-591
Let u(h) = 2*h**3 - 75*h**2 + 197*h - 5688. Determine u(37).
232
Let s(f) = -f**3 - 16*f**2 - 54*f - 69. Determine s(-10).
-129
Let j(u) = 44*u**3 - 2*u**2 + 54185*u + 54186. Give j(-1).
-45
Let i(j) = -19*j**3 + 77*j**2 - 87*j + 322. Give i(4).
-10
Let q(i) = 86451*i - 864511. Determine q(10).
-1
Let b(c) = 31291*c + 1533265. Calculate b(-49).
6
Let g(c) = -2*c**3 + 520*c**2 - 2056*c - 4. What is g(4)?
-36
Let v(x) = -x**3 + 79*x**2 + 788*x - 238. Give v(88).
-590
Let p(m) = -13*m**3 + 821*m**2 - 135*m + 372. What is p(63)?
-195
Let p(a) = -3*a**3 - 89*a**2 + 87*a - 1166. Calculate p(-31).
-19
Let t(c) = -9486*c - 125649. Give t(-13).
-2331
Let i(w) = -563959*w - 6767436. Calculate i(-12).
72
Let c(m) = -4328*m**2 + 30291*m + 22. Determine c(7).
-13
Let k(g) = -30*g**2 + 47*g - 210. Calculate k(5).
-725
Let c(u) = 1655*u + 146446. Determine c(-86).
4116
Let p(x) = 2162450*x - 4324902. Give p(2).
-2
Let a(s) = -113*s**2 - 21838*s - 5352. What is a(-193)?
245
Let l(c) = -c**2 + 1023*c + 216537. Determine l(-180).
-3
Let b(i) = -28*i**3 + 2099*i**2 + 27*i + 3516. What is b(75)?
-84
Let m(l) = 4*l**2 - 226*l - 83. Calculate m(0).
-83
Let b(s) = -400*s - 96535. Give b(-244).
1065
Let n(l) = -2973*l - 205127. Calculate n(-69).
10
Let b(k) = 5*k**2 + 222*k - 858. Determine b(-48).
6
Let q(k) = k**3 - 743*k**2 + 47110*k - 832. Calculate q(673).
-832
Let g(c) = 3283*c + 12. Determine g(0).
12
Let h(i) = -2*i**2 + 131*i - 236. Give h(63).
79
Let w(f) = f**3 + 141*f**2 - 439*f - 1328. Determine w(-144).
-320
Let g(r) = -2*r**3 + 1523*r**2 - 43187*r - 634. Calculate g(732).
98
Let u(v) = 40316*v + 362695. What is u(-9)?
-149
Let d(u) = u**3 + 12*u**2 + 76*u + 317. Determine d(-8).
-35
Let j(g) = -15*g**2 + 49664*g - 396363. Determine j(8).
-11
Let t(b) = 10*b**2 - 5382*b - 16152. Give t(-3).
84
Let r(c) = 732008*c - 14640165. Determine r(20).
-5
Let r(w) = w**2 - 208*w - 16275. What is r(-60)?
-195
Let i(b) = 2168*b + 184258. Give i(-85).
-22
Let i(j) = 3*j**2 + 461*j - 13313. Calculate i(-175).
-2113
Let p(n) = -n**3 - 126*n**2 - 79*n - 10076. What is p(-126)?
-122
Let o(a) = 9650*a - 67476. Calculate o(7).
74
Let w(o) = -o**2 + 1721*o + 13857. Calculate w(-8).
25
Let m(r) = r**2 + 15468*r - 30956. Calculate m(2).
-16
Let f(t) = -19*t**3 - 26*t**2 + 103*t - 6. What is f(-5)?
1204
Let r(c) = 20*c**2 - 41255*c + 776624. Determine r(19).
-1
Let t(r) = 443*r - 1796. Give t(8).
1748
Let j(h) = 166*h**3 - 5147*h**2 + 32*h - 49. Determine j(31).
-18
Let f(u) = -u**3 - 44*u**2 + 2464*u + 108142. Give f(-50).
-58
Let m(x) = 527*x - 17572. Give m(31).
-1235
Let t(w) = 4*w**3 + 8175*w**2 - 167187*w - 6186. Determine t(-2064).
6
Let p(t) = -387*t**2 - 272*t + 727. Determine p(3).
-3572
Let j(w) = w**3 - 41*w**2 - 175*w - 3111. Calculate j(45).
-2886
Let h(f) = -4*f**2 - 11230*f - 300281. What is h(-27)?
13
Let v(j) = -j**3 + 10*j**2 - 349*j + 3970. Give v(11).
10
Let y(f) = -f**2 - 1046*f - 91224. Give y(-96).
-24
Let p(w) = 1240*w**2 - 3716*w - 36. Determine p(3).
-24
Let v(x) = 19140*x + 8345011. Calculate v(-436).
-29
Let n(r) = r**3 - 11*r**2 - 35*r - 10725. What is n(27)?
-6
Let r(c) = -124*c**2 - 3539*c - 3402. Calculate r(-1).
13
Let i(c) = -355*c + 23679. Calculate i(66).
249
Let l(v) = v**3 - 33*v**2 - 133*v + 152. Calculate l(41).
8147
Let j(h) = -3*h**2 - 212*h - 3690. What is j(-40)?
-10
Let q(w) = 39998*w - 480005. Calculate q(12).
-29
Let b(o) = 223*o**2 + 11963*o - 4259. Calculate b(-54).
7
Let z(q) = -2*q**2 - 689*q - 19679. Calculate z(-313).
40
Let o(b) = -2*b**2 - 111*b + 905. Determine o(-74).
-1833
Let q(d) = -11158*d + 4887211. Determine q(438).
7
Let o(l) = -171*l - 38657. Give o(-255).
4948
Let m(u) = -19033*u + 1408361. Give m(74).
-81
Let r(s) = 17003*s + 84994. Give r(-5).
-21
Let o(u) = -u**3 - 54*u**2 + 5050*u + 357. Give o(-103).
48
Let j(q) = -18*q**3 - 31*q**2 + 26*q. Calculate j(-3).
129
Let m(u) = u**2 - 358*u + 17135. What is m(299)?
-506
Let w(m) = -52119*m - 1615670. Determine w(-31).
19
Let h(f) = 6*f**3 + 28*f**2 + 22*f + 128. What is | {
"pile_set_name": "DM Mathematics"
} |
(d) = 3528*d - 3870. Let n(y) = 34*y + 45*y + 28*y - 35*y - 79. Let i(o) = 2*h(o) - 99*n(o). Find the first derivative of i(x) wrt x.
-72
Let k = 4901 - 4892. Let x be ((-12)/(-2 + -1))/2. Find the second derivative of -k*b**x + 40*b**2 + b - 29 + 23*b**2 - 3*b wrt b.
108
Let f(s) be the third derivative of 4007*s**5/60 - 146*s**4/3 - 5586*s**2. What is the second derivative of f(c) wrt c?
8014
Let n(j) = -8*j**4 - j**3 - j - 1. Let u(r) = 17*r**4 - 5*r**3 - 416*r - 6. Let v(x) = -6*n(x) + u(x). What is the second derivative of v(w) wrt w?
780*w**2 + 6*w
What is the first derivative of -293 + 10952*a**3 - 469 - 232 + 18*a - 18*a wrt a?
32856*a**2
Let i(p) be the third derivative of 145*p**8/336 + p**6/120 - p**4/8 + 35*p**3/3 + 20*p**2 + 8. Find the second derivative of i(m) wrt m.
2900*m**3 + 6*m
Let p = -176 - -179. What is the third derivative of m**2 - 19*m**p - 10*m**3 + 0 + 1 - 2*m**5 - 59 wrt m?
-120*m**2 - 174
Let j(y) be the first derivative of 179*y**5/5 + y**4/4 - 1528*y**3/3 - 1616. What is the third derivative of j(v) wrt v?
4296*v + 6
Let z(q) = -q**2 + q + 1. Let j(g) = -6*g**4 + 5*g**3 + 1447*g**2 - 5*g - 5. Let m(d) = -j(d) - 5*z(d). Find the third derivative of m(f) wrt f.
144*f - 30
Suppose 0 = 2*a + 2. Let d be 3 - -3 - (-1 - 0)*a. Find the second derivative of -u**3 + 34*u - 53*u + u**3 + u**d wrt u.
20*u**3
Let s(j) = -52*j**2 - 11*j - 821. Let u(n) = -261*n**2 - 56*n - 4105. Let d(o) = 11*s(o) - 2*u(o). Differentiate d(i) with respect to i.
-100*i - 9
Let z(x) = 9*x**2 + 54*x + 6. Let k be z(-7). What is the second derivative of -5*w**5 - 81*w - 110*w + 37*w + k*w**5 wrt w?
1280*w**3
Let r(f) be the second derivative of -22*f**2 + 0*f**3 + 0 + 5/4*f**4 + 40*f. What is the first derivative of r(o) wrt o?
30*o
Let n(v) be the first derivative of 2078*v**5/5 + v**2/2 + 1446*v - 1781. Find the second derivative of n(g) wrt g.
24936*g**2
What is the first derivative of 11*g**3 - 64*g**4 + 66*g**4 - 7471*g + 7511*g - 3552 wrt g?
8*g**3 + 33*g**2 + 40
Let o(s) be the first derivative of 239*s**5/5 - 7*s**4/4 + s**3 - 1781*s - 1086. What is the third derivative of o(k) wrt k?
5736*k - 42
Find the third derivative of -3*x**5 + 3*x**5 - 91 - 10*x**2 + 247184*x**6 - 246405*x**6 wrt x.
93480*x**3
Let s(b) = 1678*b**2 + 2*b + 3728. Let r(v) = 10069*v**2 + 13*v + 22363. Let m(c) = -2*r(c) + 13*s(c). Differentiate m(o) wrt o.
3352*o
Let v(h) = 89*h**3 - 13*h**2 + 9*h + 178. Let m = 474 + -480. Let r(p) = -44*p**3 + 6*p**2 - 4*p - 87. Let a(o) = m*v(o) - 13*r(o). Differentiate a(i) wrt i.
114*i**2 - 2
Suppose -30 = -5*l - 5*q, -3*q = -5*l - 5*q + 21. Find the second derivative of -29*a + 12*a - a**2 - l - 20*a**3 + 83*a**3 + 10*a + 9*a wrt a.
378*a - 2
Differentiate 1566 - 714*a**2 - 8385 + 1094 + 2305 + 1943 with respect to a.
-1428*a
Let m(w) be the first derivative of w**5/4 + 40*w**3/3 + 261*w + 286. Let k(y) be the first derivative of m(y). What is the second derivative of k(o) wrt o?
30*o
Let p = 79 + -77. Differentiate -346*f**p - 23 - 32 + 283*f**2 wrt f.
-126*f
Let r(j) = -j**2 - 4*j + 2. Let o be r(-4). Suppose 8 = -o*s, -3*s + 988 = p + p. Differentiate -949 - 33*u**4 + p + 476 with respect to u.
-132*u**3
Let j(x) = x**3 - 10*x**2 - 12*x + 15. Let y be j(12). Differentiate 80 + 68 + y*c - 256 with respect to c.
159
What is the derivative of 755*k**4 + 551 + 192 + 578*k**4 + 119 wrt k?
5332*k**3
Let x(r) be the third derivative of 732*r**7/35 + 63*r**4/2 + 4906*r**2. What is the second derivative of x(t) wrt t?
52704*t**2
Find the second derivative of -6*t**2 + 854*t**4 + 4217*t + 7*t**2 - 930*t wrt t.
10248*t**2 + 2
Let l(u) be the second derivative of 7*u**5/10 + 7*u**4/12 + u**3/2 + 931*u**2/2 + 3674*u - 1. Find the first derivative of l(c) wrt c.
42*c**2 + 14*c + 3
Let v(u) be the third derivative of -727*u**8/336 + 457*u**5/30 - 9*u**2 + 23*u. What is the third derivative of v(x) wrt x?
-43620*x**2
Let n be 65/75 - 1 - (-94)/30. Find the third derivative of -3*j**4 - 233*j**3 + 7*j**2 - 46*j**2 + 244*j**n wrt j.
-72*j + 66
Find the third derivative of -20*g**6 - g**3 - 96*g**6 + 56*g + 103*g**2 - 33*g**6 - 105*g**2 wrt g.
-17880*g**3 - 6
Let n(d) = -736*d**2 + 3*d + 26. Let c(w) = 2205*w**2 - 8*w - 79. Let g(f) = -3*c(f) - 8*n(f). Differentiate g(t) with respect to t.
-1454*t
Find the second derivative of 6907*b + 6936*b - 2 + 1282*b**3 - 13807*b wrt b.
7692*b
Let q(r) = 249*r**2 - 153*r - 1. Let s(z) = 166*z**2 - 102*z - 1. Let c = -314 - -309. Let w(g) = c*q(g) + 7*s(g). What is the second derivative of w(p) wrt p?
-166
Let h(a) be the second derivative of -91/6*a**3 - 5*a - 77/20*a**5 + 0*a**4 + 0*a**2 + 0. Find the second derivative of h(v) wrt v.
-462*v
Let v(b) = 2*b**3 + 17*b**2 - 7*b + 20. Let k be v(-9). What is the first derivative of 5*s**2 + 5*s**k - 78 + 19*s**2 - 6*s**2 wrt s?
46*s
Let x(t) = 431*t + 355. Suppose 10*a + 60 = 22*a. Let o(j) = 216*j + 177. Let h(n) = a*o(n) - 2*x(n). Differentiate h(c) with respect to c.
218
Find the second derivative of -1 + 940*p**2 + 1030*p**2 - 140*p - 177*p - 17*p**2 - 171*p wrt p.
3906
What is the derivative of -544635 + 270828 - 10740*z + 271101 wrt z?
-10740
What is the derivative of 849 - 2772*q**2 + 145 + 173 + 16 wrt q?
-5544*q
Let h(p) = p + 26. Suppose -5*d - 25 = 5*g, 3*g - 10 = 3*d - d. Let v be h(d). Find the third derivative of 10*i**5 - 8*i**2 - 6*i**2 + v*i**5 wrt i.
1860*i**2
Let t = 52 + -46. Suppose 0 = -t*a + 4*a + 10. Find the third derivative of 13*p**2 + 10*p**a + 7*p**2 + 16*p**2 - 23*p**2 wrt p.
600*p**2
What is the third derivative of -315*c**6 - 13 - c**5 + 9*c**2 + 53 - 12*c**2 - 3*c**2 wrt c?
-37800*c**3 - 60*c**2
Let a = 18 + -11. Suppose 0 = 2*b + a*b - 2520. What is the third derivative of b*c**5 + 0*c**4 + 0*c**4 - 27*c**2 - 287*c**5 wrt c?
-420*c**2
Let v be 266 - (1 - -4*2/(-4)). Let h = v + 544. What is the third derivative of -33*n**5 - 807*n**2 + h*n**2 - 8*n**5 wrt n?
-2460*n**2
Let n(q) = -q**4 + q**3 + q**2 - 3. Let k(d) = 169*d**4 - 6*d**3 - 4*d**2 - 1278. Let z(c) = -k(c) - 4*n(c). Differentiate z(x) with respect to x.
-660*x**3 + 6*x**2
Suppose -2*g - 52 = 4*w - 6*g, 2*g + 72 = -5*w. Let a be (-4)/w + 8/(448/1160). Find the second derivative of -a*d**5 + 44*d**5 - 6*d**5 + 17*d wrt d.
340*d**3
Suppose 2*c = -5*x + 480, -3*c + 0*c = 5*x - 485. What is the second derivative of -30 + 61*a**2 - 2*a**3 + x*a + 58 - 28 + 29*a wrt a?
-12*a + 122
Let h(b) = -b**2 - 5*b. Let o(p) = -28*p**2 + 14*p - 2588. Let l(u) = -6*h(u) - o(u). Find the first derivative of l(y) wrt y.
68*y + 16
Let t(s) = -54*s**2 - 23*s + 631. Let l(k) = 49*k**2 + 22*k - 630. Let c(y) = -13*l(y) - 12*t(y). What is the first derivative of c(v) wrt v?
22*v - 10
Let v = -3 + 6. Let l(o) = o**3 - 2*o**2 - o - 4. Let z be l(v). Find the third derivative of i**4 - 8*i**2 - z*i**4 - 9*i**4 - 11*i**2 wrt i.
-240*i
Let c(t) = t**2 + 3*t - 13. Let y be c(3). What is the third derivative of -31*i**2 - 17*i**2 - 90*i**5 - 130*i**y wrt i?
-13200*i**2
Find the second derivative of -194*x + 17*x**3 - 531*x**2 + 1839*x + 555*x**2 wrt x.
102*x + 48
Let k = 261 - 225. Find the third derivative of -2*u**2 - k*u**3 - 2*u**3 + 3*u - 4*u - u - 42*u**2 wrt u.
-228
Let o be 3/12 + (-220)/(-80). Find the third derivative of 131*g**o - 160*g**2 + 114*g**3 - 39*g**3 wrt g.
1236
What is the derivative of -150*w - 444 - 470 - 371*w - 185 - 333 wrt w?
-521
Let i = 140 + -137. Let x be (18 - 3)*(-4)/(-10). What is the second derivative of x*h + 2*h**3 - h**i + 0*h**3 - 2*h**3 wrt h?
-6*h
Let y(r) be the first derivative of r**7/7 - 104*r**5/5 - 956*r**3 - 2561. What is the third derivative of y(o) wrt o?
120*o**3 - 2496*o
Let i(m) be the second derivative of -m**5/4 + m**4/6 + 187*m**3/6 - 5127*m**2 - 3*m - 43. What is the first derivative of i(q) wrt q?
-15*q**2 + 4*q + 187
Let r(g) be the first derivative of g**7/7 + 796*g**5/5 + 181*g**3/3 + 15*g**2/2 - 5671. What is the third derivative of r(f) wrt f?
120*f**3 + 19104*f
Let i(r) be the third derivative of 697*r**8/168 - 3*r**5/10 - 13*r**3/6 - 2*r**2 - 338. What is the third derivative of i(z) wrt z?
83640*z**2
Let i(v) be the second derivative of -9*v**5/20 + 49*v**4 + 70*v**3/3 + 5*v**2/2 + 550*v + 1. Find the second derivative of i(t) | {
"pile_set_name": "DM Mathematics"
} |
44 - -55.19696. Let s = c + 0.0076. Round s to the nearest 10.
60
Let n = -29993 + 57763. Suppose 2*y = 175770 - n. Suppose 11*k - y = k. Round k to the nearest 1000.
7000
Let v = -823 - -1166. Let b = v + -342.99999654. Round b to seven dps.
0.0000035
Let v = 2275 + 146. Let p = -2475.56 + v. Let x = -52 - p. Round x to the nearest integer.
3
Let j = 8056.22 + -7884. Let v = 423 - 258. Let u = v - j. Round u to zero decimal places.
-7
Let g = 6506377249.9 - 6506377305.662284282. Let q = g + 0.762274982. Let m = -55 - q. Round m to 6 dps.
0.000009
Let w = -0.11121 + -0.97949. What is w rounded to one dp?
-1.1
Let k = 875.824 - -2.176. Let y = -878.0539 + k. Let l = y - -0.04811. What is l rounded to 3 decimal places?
-0.006
Let g = -0.40988542 - -0.4098. Round g to five decimal places.
-0.00009
Let k = -645765 - -6069465. Round k to the nearest 10000.
5420000
Let g = 3.625 + -3.624998475. What is g rounded to 7 dps?
0.0000015
Let c = 128201 - 282320. What is c rounded to the nearest one thousand?
-154000
Let j = 3.8411 + -4.30028. Round j to two dps.
-0.46
Let m = 0.153044 + -0.18709. Let k = -0.0344 - m. Round k to five dps.
-0.00035
Let v be (6 - (-10)/(-1))*-3. Let o be v*(1365/10)/13. What is o rounded to the nearest 10?
130
Let x = 27613.000056428 + -27613. What is x rounded to six decimal places?
0.000056
Let h(j) = -1129631*j**2 - 12*j + 3. Let l be -18*((-102)/(-12) - 8). Let p be h(l). What is p rounded to the nearest one million?
-92000000
Suppose -l - 6 = -5. Let g(o) = o**2 + o + 1. Let n be g(l). Let f be (-1 + -2 + -247)*(n - 521). What is f rounded to the nearest one hundred thousand?
100000
Let g = 1226 - 1224. Suppose b = -b - 30. Let y be (b/g)/5*(-1 + 123). What is y rounded to the nearest ten?
-180
Let w = 8179.1 + -8179.0912243. Round w to 3 dps.
0.009
Let j(f) = 21915*f**3 - 5*f**2 + 12*f + 34. Let d be j(-2). Round d to the nearest ten thousand.
-180000
Let r be (32/(-24)*1)/(8/(-6)). Let c(m) = 42519*m**2 + 1. Let j be c(r). Let d = j - 29620. Round d to the nearest one thousand.
13000
Let v = 5.4375012 - 5.25751. Let l = 169.18 - 169. Let k = v - l. What is k rounded to 6 decimal places?
-0.000009
Let o = -12.30191 + 40.301899. Let u = -28.05 + 0.05. Let g = o + u. What is g rounded to 6 dps?
-0.000011
Let h = -66653.43 + 67112. Let a = -459 + h. Round a to 1 dp.
-0.4
Let w = -0.095913114784 + -80.521167111216. Let i = w + -7.382920514. Let z = 88 + i. Round z to seven decimal places.
-0.0000007
Let l = 72586.7477 + -72591. Round l to two dps.
-4.25
Let x(t) = -2*t**2 + t. Let q(l) = -l**3 + 28*l - 33. Let b(d) = q(d) + 6*x(d). Let u be b(-16). Round u to the nearest 10.
450
Let h = 502192.99975 + -502410. Let v = -217 - h. What is v rounded to 4 dps?
0.0003
Let g = 78880.05109 + -78881. What is g rounded to 3 decimal places?
-0.949
Let m = 7.669 - -0.211. Let x = m - 7.878266. What is x rounded to 4 dps?
0.0017
Suppose 4*q - 2015994 = -3*x, -2*x - 10 = -6. What is q rounded to the nearest one hundred thousand?
500000
Let l be 15*4/8*(-12)/(-15). Suppose l*v + 8500 = 7*v + 3*a, 3*v - 4*a = 25500. Round v to the nearest 1000.
9000
Suppose 7*i - 3*i - 92 = -4*s, 2*s - 34 = 4*i. Suppose -350624 + 14624 = -s*o. Round o to the nearest one thousand.
16000
Suppose 2*a + 923120 = -4*d, 0 = -57*a + 59*a + 3*d + 923115. What is a rounded to the nearest one hundred thousand?
-500000
Let c = -9609 - -9608.9997169. What is c rounded to five decimal places?
-0.00028
Let w = 0.019084476 - -103.980911024. Let l = w + -104. What is l rounded to 6 decimal places?
-0.000005
Let v = -1716756 - -1716468.000338. Let w = 106 - 394. Let y = w - v. Round y to five decimal places.
-0.00034
Let g = -206425 - -346030. Let j = g + -35165. Suppose -5*v - 4*f = 900004, 5*f + 435565 = -3*v - j. Round v to the nearest one hundred thousand.
-200000
Let i = -12.4 - -54.2. Let o = i - -2.2. Let c = -44.0000016 + o. What is c rounded to six decimal places?
-0.000002
Let p = 12313 - 12312.89458. Round p to three dps.
0.105
Let v = -205525 - -702085. What is v rounded to the nearest 10000?
500000
Let g = -3021047 - 1777520. Let n = g - -4798984.9811. Let c = 418 - n. What is c rounded to two dps?
0.02
Let y = -20.4 + -56.6. Let d = y - -77.18. What is d rounded to two decimal places?
0.18
Let h = -192 + 192.071. Let g = h + -0.06996. What is g rounded to four dps?
0.001
Let t = -602.7101912 + -0.0078088. Let g = -602.857 - -0.857. Let u = t - g. Round u to one dp.
-0.7
Let b = -10363 + 10251.89. Let l = b - -118.2. Round l to zero decimal places.
7
Let w = 93 - 2. Let z = w - 72.5. Let h = -18.758 + z. What is h rounded to 2 decimal places?
-0.26
Let h = -5208.999951744 + 5209. Round h to seven decimal places.
0.0000483
Let b = 248 + -251. Let d be (-2 - 2926498)/(b/40). What is d rounded to the nearest 1000000?
39000000
Let s = 17.90887 + -0.09087. What is s rounded to zero decimal places?
18
Suppose -5*c + 2*v = -3*v + 1615, -4*c = -2*v + 1284. Let u(h) = 3*h**2 - 8*h + 92. Let g be u(8). Let l = g + c. What is l rounded to the nearest 10?
-100
Suppose 14*i = 17*i - 36. Suppose -i = -9*f + 8*f. Let w be 36/f + (-107994)/(-2). What is w rounded to the nearest ten thousand?
50000
Let d = 25681.99950485 - 25682. What is d rounded to five dps?
-0.0005
Let n = 9417 + 178. Suppose m + n = 3*g, 5*m + 8280 + 7695 = 5*g. What is g rounded to the nearest 10000?
0
Let k = 801565 - 801564.7472646. Let r = k + 745.7482456. Let s = 746 - r. Round s to 4 decimal places.
-0.001
Let b = -0.00816 + 0.00812203. What is b rounded to 5 dps?
-0.00004
Let h(l) = -126695*l - 2693634*l - 30 + 170314*l. Let d be h(-2). What is d rounded to the nearest one million?
5000000
Let m = 169.93 + -169. Let g = 23.2 - 23.558. Let w = g + m. What is w rounded to 2 dps?
0.57
Let c = 0.0428356423 - 0.042839. Round c to 7 decimal places.
-0.0000034
Let y = 0.421 - 0.42105283. Round y to five decimal places.
-0.00005
Let c = 532.1 + -731. Let p = -412 - c. Round p to the nearest ten.
-210
Let w be 414/21 - (9/(-7) - -1). Suppose 14*j - w*j + 2346000 = 0. Round j to the nearest 100000.
400000
Let l = 51493 - 51516.879. What is l rounded to the nearest integer?
-24
Let q = 487860.026125602357 + -7343807477.026127472357. Let n = q + 7343319198. Let x = n - -419. What is x rounded to 7 dps?
-0.0000019
Let t = 38238 + -38240.50736. Let v = t + 2.5. What is v rounded to 4 dps?
-0.0074
Let q(j) = -34392*j**3 - 2*j**2 - 3*j + 8. Let w be q(3). Let v = -3928603 - w. Round v to the nearest one hundred thousand.
-3000000
Let n = 7965 - 1970. Suppose 5*j = -4*l + 5980, -5*j + 10*j + l - n = 0. Round j to the nearest 1000.
1000
Let a = 1470363736.020012 - 1470357432. Let d = 6304 - a. Let n = d - -0.02. Round n to six decimal places.
-0.000012
Let a = 596.4 - -2887.6. Let r = a + -3481.919. Let b = r + -2.26. What is b rounded to 2 dps?
-0.18
Let w be 27/(54/8) + 1*(4453398 - 2). Round w to the nearest ten thousand.
4450000
Let n = -386.1 + 380.397. What is n rounded to zero dps?
-6
Suppose 2*p - 2142 = 4*f, -5*p + 0*f = -4*f - 5385. Let t(q) = 115*q + 94. Let l be t(-5). Let u = p + l. Round u to the nearest one thousand.
1000
Let s = -737638 - -447714. Let i = 129924 + s. Round i to the nearest 100000.
-200000
Suppose -43*o + 21 = -36*o. Suppose 5*d = 4*m + 4452, -m = -o*d + m + 2670. What is d rounded to the nearest 100?
900
Let f = 13399 - 3738. Round f to the nearest 1000.
10000
Let b = -78410 + 50545. Round b to the nearest 1000.
-28000
Let f = -13419 + 53433. Let k = f + -39944.007. Let c = -70 + k. Round c to two decimal places.
-0.01
Suppose 19*i + 44*i - 32688320 = 7*i. What is i rounded to the nearest one hundred thousand?
600000
Let u = -83.20850237 - -421.72309029. Let r = 312.5145891 - u. Let c = r - -26. What is c rounded to 7 decimal places?
0.0000012
Let j = 5914376830321 + -5914377271821.8070077. Let i = 441501 + j. Let t = 0.193 - i. What is t rounded to six decimal places?
0.000008
Let s = 1394.01722 - 771.02059. Let g = -623 + s. What is g rounded to 4 dps?
-0.0034
Let z = 21 - 15. Suppose s - 2 + z = 3*i, 3*s - 4*i = 13. Suppose -s*l - 9371223 = 7898777. Round l to the nearest one hundred thousand.
-1600000
Let g = -102279 + 236889. What is g rounded to the nearest ten thousand?
1 | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of d**2/2 - 3*d - 2. Let s(x) = -x + 8. Let o be s(-12). Suppose 5*a = -2*t - 2*t + o, 8 = 2*a - 4*t. What is q(a)?
1
Let b(i) be the first derivative of 7*i**2/2 - 2*i - 274. What is b(-5)?
-37
Let z(j) = 5*j + 27. Let l be z(-6). Let s(y) = y. Let i be s(l). Let n(w) = w**2 + 7*w + 13. Let x be n(i). Let f(g) = 6*g**3 - g**2 + g. Give f(x).
6
Let g(p) be the third derivative of -p**6/60 + p**5/5 - 5*p**4/12 + p**3/6 + 41*p**2. Let i be g(5). Let m(d) = 5*d + 1. Give m(i).
6
Let o(v) = v**3 - 11*v**2 - 14*v + 16. Let a = 398 - 386. What is o(a)?
-8
Let r = 63 + -56. Let c(h) = 7 - 4*h**2 - 5*h**2 + 6*h + r*h**2. What is c(5)?
-13
Let s(r) = -r**2 - 3*r. Let k(m) be the first derivative of -2/3*m**3 + 2*m - m**2 + 2. Let l be k(-2). What is s(l)?
2
Suppose 4 - 3 = -q. Let j(a) = a**2 + 107*a**3 - 51*a**3 + a**2 - a**2 - 50*a**3. Give j(q).
-5
Let t(f) = 16*f**2 + 16*f + 1. Let i(y) = -18*y**2 - 19*y - 1. Let b(g) = 5*i(g) + 6*t(g). Calculate b(-1).
6
Let f(o) = 17 - 24 + 5*o + 6. Let i(h) = h**3 - h**2 - 2*h - 1. Suppose 5*g = 4*l + 29, 5*l = -9*g + 4*g + 20. Let w be i(l). Give f(w).
-6
Let n(u) = -u**2 - 14*u - 20. Suppose -135*i = -141*i - 48. Determine n(i).
28
Let t(s) = -24*s + 11. Let r(v) = 27*v - 12. Let j(l) = 6*r(l) + 7*t(l). Determine j(2).
-7
Let f(n) be the second derivative of -11*n**3/6 - 7*n**2/2 + 76*n + 4. Determine f(3).
-40
Suppose 3*x - 23 = -f - 3, 2*x = -4*f + 30. Let g(b) = -1 + b**2 - 4 + 1 - 4*b. Give g(f).
1
Let v(m) = -4*m + 1. Let x = -141 + 135. Determine v(x).
25
Let v(y) be the second derivative of y**3/2 + y**2/2 - 2*y. Let c(b) = -33*b**2 + 2*b + 1. Let t be c(-1). Let l = -35 - t. Calculate v(l).
-2
Suppose 30 = 29*j - 39*j. Let w(p) = -p**3 - 4*p**2 - 3*p - 2. What is w(j)?
-2
Let q(v) = -16*v**2 + 2*v - 9. Let x(i) = -21*i**2 + i - 8. Let r(k) = 4*q(k) - 3*x(k). What is r(5)?
-12
Let k be (-33)/(-55) - (-12)/5. Let o(y) = -10*y - k + 20*y - 6*y + 0*y. Determine o(2).
5
Let t(h) = -h - 4. Let j(b) = 6*b - 5. Let u be j(-6). Let q = u + 57. Suppose 2*g + 0*g + q = 0. What is t(g)?
4
Let q(y) = 8 - 2 - 6 + 6*y. Let t(j) = -j**3 - 10*j**2 - j - 9. Let u = -59 - -49. Let k be t(u). Calculate q(k).
6
Let w(b) be the second derivative of -1/6*b**3 + 0 - b - 9/2*b**2. Let g be w(-5). Let m(q) = q**2 + 5*q + 4. Determine m(g).
0
Let l(r) = -r - 380 + 369 + 3*r. Let p(m) = -m + 6. Let j = -4 + -1. Let v(q) = j*p(q) - 3*l(q). Give v(7).
-4
Let o(c) be the first derivative of 4*c**2 + 1 - 1/4*c**4 + 5/3*c**3 - 4*c. Suppose 3*i = -2*m + 19 - 7, 0 = 2*m + 2*i - 12. Give o(m).
8
Let v be -21*8/(168/(-9)). Let x(n) = -n**2 + 10*n - 12. What is x(v)?
-3
Let h(w) = -w + 7. Let x be (5 - 13/3)*(11 - -1). Calculate h(x).
-1
Let n(k) be the first derivative of -3*k**2 - 13*k + 22. Give n(-3).
5
Let y(h) = 3*h + 5. Suppose 4*m = -8, -4*m = -3*v - 2*v - 522. Let i = 101 + v. What is y(i)?
-10
Let q(h) = 3 + 5*h + 80*h**2 - 79*h**2 + 3*h. What is q(-8)?
3
Let f(g) = -g**2 + 4*g**3 - 7*g**3 - 10*g**2 - 9 + 2*g**3 + 11*g. What is f(-12)?
3
Let z(r) = 14 + 4*r - 17 + 4 + r. Let d(c) = c**2 + 6*c - 9. Let o be d(-7). Calculate z(o).
-9
Let h(o) = -2*o + 9. Suppose 0 = 3*p - 6*a + 4*a - 14, 0 = -2*p - 2*a + 16. Calculate h(p).
-3
Let v(u) be the second derivative of -u**5/20 - u**4/3 + u**3 - 7*u**2/2 - 4*u + 34. Calculate v(-5).
-12
Let a(l) = 0*l - 2*l - 7*l. Let i be a(2). Let n = 13 + i. Let m(p) = -p**2 - 7*p - 2. Give m(n).
8
Let j = 1431 - 1448. Let w(z) = -z**3 - 15*z**2 + 33*z - 23. Determine w(j).
-6
Suppose 3*i = 14*i - 33. Let r(b) = -2*b**3 + 3*b**2 - 2*b. Determine r(i).
-33
Let d(r) = 2*r + 5. Let f(p) = -5*p - 47. Let c be f(-9). Let n(s) = 5*s - 4*s + 2*s. Let j be n(c). Determine d(j).
-7
Let q(g) = -g**2 + 6*g - 1. Let d(a) = -a**2 + a + 4. Let j be d(2). Suppose 0 = z + j*y, 0*z + 4*z = 4*y + 36. Calculate q(z).
-1
Let a be 0/((-2*3)/(-2)). Suppose 3*i + 0*i - 21 = a. Let z(m) = i*m + 5*m + 2 - 9 - m**2 - 4*m. Calculate z(6).
5
Let b(a) be the third derivative of -a**4/24 - 5*a**3/3 + a**2. Let i(h) = 3*h - 5. Let q be i(7). Let y = -22 + q. Calculate b(y).
-4
Let v(z) be the second derivative of 0 + 1/2*z**4 + z + 1/20*z**5 - 7/6*z**3 + 5/2*z**2. Let g = 0 + -7. Give v(g).
5
Suppose o + 7*m - 11*m - 17 = 0, -4*o + 5*m + 24 = 0. Let x(n) = 10*n**2 + 1. Calculate x(o).
11
Let d(f) = -2*f**2 - 12 + 11 - 4*f + f**2. Let r(g) = g**2 + g - 3. Let o be r(0). Give d(o).
2
Let h(p) = -3*p - 4*p + 7*p - 20 - p. Let y be h(-14). Let z(d) be the first derivative of d**2/2 + d + 1. Give z(y).
-5
Let h(i) = -24*i - 8 + 23*i - 1. Give h(-9).
0
Let m(v) be the third derivative of v**4/3 + v**3/6 + v**2. Suppose 0 = -8*c - 8 - 0. Let k be c*(-1 - 2)/(-3). What is m(k)?
-7
Let d be (((-35)/2)/(-7))/(12/(-24)). Let b(x) = -7*x**2 - 10*x - 1. Let i(m) = 4*m**2 + 5*m. Let l(h) = -3*b(h) - 5*i(h). What is l(d)?
3
Let p = -1 - -5. Suppose p*t = t. Let y(q) = 7 + 67*q - 20*q + 4*q**2 - 3*q**2 - 25*q - 21*q. Determine y(t).
7
Suppose 2*g = 3*k - 41, -65 + 13 = -4*k + 4*g. Let x be 2/(-5) + 6/k. Let f(c) be the third derivative of -c**5/60 + c**4/24 - c**3/2 + 9*c**2. What is f(x)?
-3
Let d = -291 + 291. Let q(n) = -2*n**2 - n + 9. Give q(d).
9
Let d = 1 - -4. Let o(y) = -8*y - d - 6*y + 11*y + y**2 - y. Determine o(5).
0
Let w(p) = -p - 3. Let q be 0 + 2 + -8 + 14/7. Determine w(q).
1
Let p(x) = 7*x**2 + 5. Let r be p(-2). Suppose 2*c = -3*u + r, 3*u = u + c + 22. Let a(z) = z**2 - 10*z - 11. Give a(u).
0
Let o be 75/(-200)*-2*(-2)/(-12). Let i(x) be the third derivative of o*x**4 + 0 + 1/2*x**3 + 5*x**2 - 1/60*x**5 + 0*x. Give i(4).
-1
Let z(v) = v**3 + 11*v**2 - 13*v - 11. Let b be z(-12). Let m be ((0/4 - b) + 0)*-1. Let h(u) = -2*u + u**3 + 4*u**2 + 2*u**2 - 7*u**2 + 1. Give h(m).
-1
Let v(r) = 4117*r**3 - 2 - 4116*r**3 + 2*r - 4*r**2 + 1 + 0. Let d be (5/(-2))/(1/2). Let w = -2 - d. What is v(w)?
-4
Let y(f) = 4*f + 2*f**2 - 3*f - 3*f**2 + 5. Let o(s) = -5*s**3 + s**2 - 2*s - 3. Let d be o(-1). Give y(d).
-15
Let w(c) = -c**2 - 8*c - 7. Let q(a) = -a + 13. Let k be q(-7). Let l = k - 28. What is w(l)?
-7
Let d(f) be the third derivative of -f**5/30 + f**4/4 + 7*f**3/6 + 3*f**2 + 4. What is d(5)?
-13
Let j = -15 - -19. Let i(z) = 0*z + 1 + 4*z + 6*z - 8. Let s(d) = -5*d + 4. Let q(r) = 2*i(r) + 5*s(r). Determine q(j).
-14
Let x(v) be the first derivative of -1/3*v**3 + 11/2*v**2 + 25 + 19*v. Calculate x(13).
-7
Let i(g) = 5 + 3*g + 2*g**2 - 3*g**2 - 5. Let z be i(3). Let x(h) = z*h + 2*h - 33*h**2 - 1 + 32*h**2. Give x(3).
-4
Let t(c) be the second derivative of c**5/20 - c**4/3 - 5*c**3/6 - c**2 + 4*c. Suppose -4*j + 2*j - 16 = 0. Let d be (-46)/j - (-3)/(-4). Determine t(d).
-2
Let s(f) = 3 + 147*f**2 - 146*f**2 + 3*f - 5. Calculate s(1).
2
Let s be (-8)/10*20/(-8). Let g(i) = -4*i**s + 0*i**2 + 2*i + 2*i**3 + i**2 - i**3. Suppose 0 = -3*y + 10 - 4. What is g(y)?
0
Let z(y) = -7*y**2 - 49*y - y**3 + 86*y + 42 - 45*y - 48. Let o be (4 + -1)/((-2)/4). What is z(o)?
6
Let k(c) = 4*c + 1. Let s(u) = -2*u**2 + 3*u + 26. Let o be s(-3). Give k(o).
-3
Let n(t) be the second derivative of -t**4/12 + t**3/2 - t**2/2 - 151*t. Give n(4).
-5
Suppose 7*p - 4*p = -15, -2*l - 2*p - 10 = 0. Suppose l = h - 0*h - 4. Let n(a) = h*a - a + 1 - a. Determine n(1).
3
Suppose 6*o + 9 = 9*o. Let x(v) = 1 - 1 + 10*v**2 - 3*v - 9*v**2 - 1. Determine x(o).
-1
Let g(r) = r**2 - 5*r + 1. Let a be (-3)/(-3) - -2 - 1. Suppose 0 = a*m - q + 5*q - 18, m + 5*q - 12 = 0. Let c(d) = d - 3. Let h be c(m). Calculate g(h).
-3
Let l(y) = -2491 + 2*y + 1248 - 6*y + 1243. Calculate l(-10).
40
Let s be 1155/11 + (-1 - 1). Let l = -71 + s. Suppose 2*p + 10 = q, 4*p + l = 4*q + q. Let i(h) = h**2 + 3*h + 1. Give i(p).
1
Suppose 3*u - x = -2*u + 32, 0 = -x - 2. Let o be u/(-4 - -3 - 1). Let h be o/((-2)/(16/(-4))). Let d(m) = m**2 + 8*m + 5. Determine d(h).
-7
Let h be 44/(-11) + -2 + 15 + 1. Let q(d) = h*d + 56 - 56 + d**2. Calculate q(-8).
-16
Let m(b) = -b**3 + 9*b**2 + 10*b + 3. Let y = 165 - 155. Give m(y).
3
Suppose -3*d - 1 = 4*n - 31, -5*n = -15. Let p(r) = 3*r + 2. What is p(d)?
20
Let r be (-14)/(-2)*(-6 - -2 - -5). Let o(u) = -2*u**2 - 11 - 6 - r*u + 12. Let h(y) = y + 2. Let z be h(-6). Give o(z).
-9
Suppose 0 = -3*i - 5*y + 37, 2*i + 2*y - 13 | {
"pile_set_name": "DM Mathematics"
} |
- -10. Is t even?
True
Suppose 2*x - 7*x = -60. Let o = -3 + x. Let r = 14 - o. Is r a multiple of 2?
False
Let o(w) = w**2 - 7*w - 6. Let l be 74/8 - (-2)/(-8). Is 4 a factor of o(l)?
True
Let s = 18 + -45. Let n = s - -68. Let p = 4 + n. Is p a multiple of 18?
False
Let d(y) = 8*y - 1. Is d(23) a multiple of 23?
False
Let q(k) = k - 4*k + 3 + 2*k. Let g be q(-3). Suppose -g - 27 = -3*v. Is v a multiple of 11?
True
Suppose 744 = 8*n + 256. Is 19 a factor of n?
False
Let m(y) = 2*y - 2*y + y + 12. Does 12 divide m(0)?
True
Suppose 0 = -a + 2*z + 14, -3*z + 0*z = -3*a + 51. Let v be 6/15 + 452/a. Let g = 49 - v. Does 26 divide g?
True
Let x = 6 + -4. Let g be x/6 + 35/(-15). Is 1*-1*28/g a multiple of 12?
False
Let x = 33 + -18. Does 5 divide x?
True
Let r be (71/(-3))/(5/(-30)). Let s = r - 84. Is 20 a factor of s?
False
Let v(h) = -h**3 - 9*h**2 + h - 21. Is 10 a factor of v(-10)?
False
Let p(u) = 3*u**2 + 6*u + 20. Is p(-5) a multiple of 13?
True
Let u = 32 + 0. Let p = u + 3. Does 13 divide p?
False
Suppose 0 = 2*o + 3*o - 5. Let i(a) = 18*a**3. Is i(o) a multiple of 9?
True
Let b(v) = v**2 + 3*v + 3. Let s be b(-2). Is 16 a factor of 30 + s + -1 + 2?
True
Let h(c) = 2*c**3 - 3*c - 3*c**3 - 4 + 1 + 6*c**2 + 4. Suppose -5*b + 21 = 1. Is h(b) a multiple of 17?
False
Let u(w) = 5*w + 28*w**2 - 4*w + 2 - 3. Is u(1) a multiple of 14?
True
Let d(x) = -x**2 - 7*x - 3. Let u be d(-6). Let v be 1/u*(-1 + 22). Let g = v - -6. Is g a multiple of 13?
True
Suppose -8 = -5*z + 7. Suppose -51 = -0*t + z*t. Let u = t + 26. Does 9 divide u?
True
Let w(k) be the second derivative of 1/2*k**2 - 1/6*k**3 + 0 + 3*k. Is 5 a factor of w(-4)?
True
Let s(m) = -m**3 + 4*m**2 - 2*m. Let g be s(3). Suppose n = -g*n. Suppose -a + 9 = 5*q, 5*a - 2*q - 126 = -n*q. Is 12 a factor of a?
True
Suppose -2*x + 638 = 4*m - 0*x, -m = -3*x - 149. Suppose -2*u - u = 2*f - 94, 3*f = -5*u + m. Does 17 divide u?
True
Suppose 5*x + 5*f - f - 4 = 0, -5*x - f + 1 = 0. Is 1 + 42 - (3 + x) a multiple of 6?
False
Suppose 5 = -2*l + 3*l - b, -4*l + 3*b + 18 = 0. Suppose 5 = t + x, -2*t - l*x + 5 = -4. Suppose 4*h = -5*u + t + 2, -4*u = -2*h - 22. Does 3 divide u?
False
Suppose 16 = -2*u - 12. Suppose 0 = 5*a - b + 151, 3*a - 2*b = a - 62. Let x = u - a. Does 8 divide x?
True
Let y be 0 - 1 - (-1 + -3). Let f = -1 + y. Suppose 56 = f*r + 2*r. Is 5 a factor of r?
False
Suppose 6*r - 4*r + 8 = 0. Let u = r + 7. Does 3 divide u?
True
Suppose 0 = -i + 11 - 1. Does 19 divide (59/(-2))/((-5)/i)?
False
Let m = 5 + -1. Is 22 a factor of (m - (-3)/(-1))*45?
False
Suppose -3*c + 4*c - 2 = 0. Suppose -c*o + 8 = 2*o. Suppose -s - s + 26 = v, 2*s = -o*v + 22. Does 14 divide s?
False
Let y be (-1)/(-2) - 540/(-8). Suppose 0*j - y = -4*j. Is j a multiple of 7?
False
Let f = -1 - 6. Suppose -3*c + 4*i = 68, 0 = 5*c - 2*i + 17 + 101. Let t = f - c. Does 15 divide t?
False
Suppose -r - 432 = -9*r. Is 9 a factor of r?
True
Let f = 28 - 9. Is 12 a factor of f?
False
Let h be (3 - -2 - 3) + 2. Suppose -5*n + 0*c + 485 = 3*c, 356 = 4*n - h*c. Suppose 3*g - n = -g - 2*q, 0 = 3*g + 2*q - 69. Does 20 divide g?
False
Let b be 2 + 2*(-9)/6. Let f be (-1290)/(-24) - b/4. Suppose 0*c = -2*c + f. Is c a multiple of 16?
False
Suppose -4*r = -5*n - 563, -4*r + 2*r + 2*n = -284. Is r a multiple of 37?
False
Let o = -3 + 5. Suppose -o*z = 2 - 20. Suppose p - 21 = z. Is p a multiple of 19?
False
Let m = -3 - -5. Let p be (-28 - 0) + -4 + m. Is ((-6)/(-9))/((-2)/p) a multiple of 4?
False
Let z be (-10)/25 + 153/(-5). Let x = 1 - z. Suppose 2*w - 34 = -2*k, 4*k + x + 17 = 5*w. Does 13 divide w?
True
Let r(b) = 5*b**2 - 1. Let k be r(1). Suppose 0 = -5*f + k*f + 15. Is f a multiple of 12?
False
Suppose -5*o + 5*j = -15, 2*j + 5 - 13 = -5*o. Let h be (-1 - (0 - -1)) + 4. Suppose -1 - 5 = -o*l - h*y, -l + 2*y = -3. Is 2 a factor of l?
False
Let u(s) = 7*s**3 + 4*s**2 - s + 4. Let k be u(3). Suppose 5*m - k - 174 = 0. Suppose x - m = -3*x. Is 20 a factor of x?
True
Let f(w) = w**3 - w**2 - w. Let a be f(2). Let o be (0 + 0 + 0)/a. Suppose -j - 63 = -x - o*j, 120 = 2*x + 4*j. Is x a multiple of 20?
False
Does 13 divide 11/(-22)*72/(-1)?
False
Let p = 217 + -78. Is p a multiple of 15?
False
Let r = -11 + 7. Is 30 + r/((-8)/6) a multiple of 11?
True
Let o(t) = 6*t**3 - 2*t**2 - 2. Let d be o(2). Let w = d - 10. Let y = 40 - w. Is 8 a factor of y?
False
Let q(p) = 7 + 5*p - 3*p + 5*p - 4*p. Let m(o) = -2*o - 6. Let u(t) = 4*m(t) + 3*q(t). Is 3 a factor of u(9)?
True
Suppose -4*a = 37 - 1. Does 12 divide (-6)/27 + (-119)/a?
False
Let q be (-1)/4 + 52/16. Let r(d) = 3*d + 5 + 2*d**2 - q*d**2 - 10*d. Does 6 divide r(-4)?
False
Let s(p) = 3*p**3 + p**2 + p + 2. Let j be s(2). Let k = j + -10. Let o = k + 11. Is o a multiple of 9?
False
Let u be 94/3 - (-1)/(-3). Let z = 2 + -20. Let j = z + u. Does 6 divide j?
False
Let z(h) = h**2 - 2*h - 1. Let w be z(-1). Suppose 2*k - 67 = -5*l, 5*k - 2*k = -w*l + 18. Is 2 a factor of (-8)/10*l/(-6)?
True
Let g = -137 + 267. Suppose -5*f - h + g = 4*h, 4*h = -5*f + 129. Is f a multiple of 7?
False
Let p = -19 + 4. Let t = p - -39. Does 8 divide t?
True
Let y(u) = u**2 - u + 2. Suppose 5*k = r - 0*r + 14, 4*r = k - 18. Let m = -6 - r. Does 8 divide y(m)?
True
Suppose 0 = -4*x + 2*l + 62, x - 2*l - 5 = 12. Is x a multiple of 15?
True
Let h(v) = 7 - 10*v - 7. Let l be h(-2). Suppose -f + l = 4. Is f a multiple of 6?
False
Let o = 0 + 2. Let r be (-60)/(-18)*3/o. Suppose -r*x + 43 = j, 22 = 2*j - x - 31. Does 14 divide j?
True
Let k = -8 - -31. Is k a multiple of 14?
False
Let j(q) = -2*q + q + 3 + q**2 + 16. Does 5 divide j(0)?
False
Let l = 93 - 84. Is l a multiple of 3?
True
Let q = 27 - 7. Does 8 divide q?
False
Suppose 9 = 3*b + y, 2*y + 0*y - 4 = b. Suppose -69 = -n - b*n. Let f = n + 26. Is 13 a factor of f?
False
Let h(k) = -k**3 + 8*k**2 + 6. Let d = 27 + -19. Does 5 divide h(d)?
False
Let v be (1 - (-4)/(-3))*-6. Suppose -7*n + 30 = -v*n. Suppose -79 = -3*d - y, 5*y + n = 2*d - 41. Is d a multiple of 11?
False
Suppose 4*o = -3*o + 420. Is 30 a factor of o?
True
Suppose -q - 4 = -3*q. Let v(m) be the third derivative of m**5/15 - m**3/6 + m**2. Is 15 a factor of v(q)?
True
Let g = 153 - 141. Let y(x) = x**3 - 4*x - 7*x + 1 - 11*x**2 + 5. Is 9 a factor of y(g)?
True
Suppose -6*t + 10*t = 56. Is t a multiple of 12?
False
Let x be (3 - 1) + (13 - 1). Suppose -n + x = n. Let i = n - -3. Is i a multiple of 5?
True
Let d(x) = -x**3 + 4*x**2 - 1. Let f be d(4). Let l(h) = -5*h - 1. Is 2 a factor of l(f)?
True
Suppose 2*a - 133 = -11. Is a a multiple of 15?
False
Suppose 0 = 2*f + 3*f - 215. Does 10 divide f?
False
Suppose -3*f - 3*f = -420. Is 14 a factor of f?
True
Suppose 82 = l + 30. Is 13 a factor of l?
True
Let s be ((-4)/(-6))/((-2)/48). Does 3 divide (-19)/(-4) - (-12)/s?
False
Suppose 0 = 2*d - 4*d - 6, 5*x - d = 8. Suppose 2*v - x = -p, -5*v - p = -10*v - 8. Is 6 a factor of v + (-7)/(2/(-2))?
True
Suppose 0 = -22*j + 18*j + 384. Is j a multiple of 14?
False
Let u = 10 - 19. Does 7 divide (6/4)/(u/(-84))?
True
Suppose -3*x - 2*x = -30. Let b = -8 + x. Is 24 - b/4*-4 a multiple of 12?
False
Let a(d) = -33*d. Let i be a(1). Does 8 divide (i/15 + 3)*20?
True
Let t(g) = -g**2 + 4*g + 7. Let f = 9 + -4. Let i be t(f). Suppose -140 = -5*s - i*r, -4*s + 3*r = -5*s + 15. Is s a multiple of 15?
True
Suppose 0 = 3*f + 5*w - 71, 4*f - 3*w + 0 - 114 = 0. Does 8 divide f?
False
Let h(i) = 22*i**2 + 4*i - 3. Is h(-3) a multiple of 61?
True
Let d = -48 + 111. Is 13 a factor of d?
False
Suppose 5*b - 6 = -5*l - 51, -2*b = l + 22. Let z = -1 - b. Suppose -j + 2*m = -10, -3*j + 4*m + 14 + z = 0. Does 4 divide j?
False
Suppose -5*g + 584 = -0*o + o, -2*o = -4*g + 456. Is 26 a factor of g?
False
Let u(b) = b**2 - 4. Let l be u(3). Suppose 3*v = 3*d + 2*d - 107, d + l*v = -1. Is d a multiple of 7?
False
Suppose 6*w - 37 - 47 = 0. Does 3 divide w?
False
Suppose 14*w = 9*w + 330. Is 11 a factor of w?
True
Let l = -27 - -36. Suppose d + 3*q - 25 = -6, d + q - l = 0. Is 3 a factor of d?
False
Let k be 67/5 + (-2)/5. Let u = k - 4. Suppose -2*i + 5*j + 17 = 0, j = -2*i - 2*j + u. Does 4 divide i?
False
Is 21 a factor of 39 + 1/((-4)/(-4))?
False
Suppose 2*p = 3*m - 6, -5 = -m - 3*p - 3. Suppose -m*x + 5*r + 20 = x, | {
"pile_set_name": "DM Mathematics"
} |
(41 - 209))
50
Evaluate 9 + -5 + -2 - (-17 - (10 - 14)).
15
Calculate 3 + 10 + -5 + (-361 - -353).
0
Calculate 130 + (43 - (-130 - -416)).
-113
Calculate 16 - (70 + 51 + -99).
-6
Calculate (12 - -9) + -14 - -19 - ((0 - 3) + -7).
36
Evaluate 6 + -14 - (-53 + 1 - -150 - (0 + 10)).
-96
Calculate -5 - (17 + 24 + (16 - 33)).
-29
What is the value of 21 + 44 + 6 - (-9 - ((-2 - -14) + -7))?
85
Calculate 97 - (106 + -97 + (-1 - -4) + -11).
96
What is the value of (-14 - (-18 - -16)) + -14 + 91?
65
Evaluate 56 + 1 + -1 + (-8 + -1 + 6 - -8).
61
What is -19 - (23 + -27) - -5 - -18?
8
What is 153 - ((-27 + -13 - -58) + -17)?
152
Evaluate 44 + -16 + -57 + -1.
-30
What is (-1 - 21 - (-195 + 140) - 4) + -20?
9
(-4 - (-32 + -27)) + 66
121
Calculate -4 + -3 + (13 + 9 - (0 + 5)).
10
What is the value of 14 + (-4 - (-6 + 0) - (53 + -31))?
-6
(18 - 10) + 43 + -17 - 40
-6
-25 + (19 - -4) - (-15 + -102 + 9)
106
Calculate -92 + (-4 - -83) + (2 + -3 - -59).
45
Evaluate 14 - (-42 - (61 - 51 - (-3 + 13))).
56
Calculate (9 - -1) + (-70 - (23 + -78)).
-5
What is the value of 728 - 735 - (0 - (70 + -1 + 2) - -3)?
61
Calculate 60 + -99 + (44 - 61).
-56
What is the value of -122 - (-28 - 36 - 111)?
53
What is -197 + 295 + 22 - (32 + 1)?
87
27 + 2 + (0 + 7 - -2) - (24 - 17)
31
What is the value of (-1 - (4 - 0) - (97 + -113)) + -69?
-58
Evaluate (-14 - -13 - -20) + -83 + 22.
-42
-18 + -17 + 15 + -6 + -12 + 25
-13
Calculate 3 + (-3 - 3) - (7229 - 7219).
-13
Calculate -64 + 5 + 14 + -6 - (8 + -4 + -10).
-45
-39 + 28 + -29 + 0
-40
Calculate -107 + -2 + -3 + (12 - 18) + 22.
-96
Calculate -13 + (-8 - 3 - (15 + -112 + 16)).
57
Evaluate -6 + (24 - 4) + (1 - -4) + -11 + -24.
-16
Evaluate (2 + -16 - 3) + 278 + -215.
46
What is -2 + 101 - (20 + (11 - (2 + 11)))?
81
What is the value of -12 + 0 + (110 - 53 - 40)?
5
What is -51 - -1 - ((-61 - -62 - (1 + 1)) + 14)?
-63
What is the value of 66 - 30 - (11 + -14 - ((0 - -5) + -9))?
35
What is the value of -27 + (5 - -43 - (-53 + 79))?
-5
11 + -6 + -6 + -1 + -29 + 0
-31
(1 + -1 - 1) + (37 - -20 - 57 - 55)
-56
Calculate 3 + -27 + (11 - 18) + -6 + (10 - 0).
-27
Evaluate -60 - ((0 - 42) + 5 + 21).
-44
Evaluate -303 - -311 - (1 + 48).
-41
61 - (47 + (12 - -32))
-30
Evaluate -97 + 276 + -25 + (7 - 30).
131
Calculate 28 + -8 - (-14 + 4).
30
2 + 22 + 50 + -32 + -8
34
Calculate 53 + 106 + (-92 - 77).
-10
What is the value of (1 - 1 - -2) + 9 + (-9 - (-37 + 15))?
24
What is the value of (13 - (-1 - 14)) + 97 + -118?
7
What is (-24 - -92) + -32 - 0 - -2?
38
What is (58 - (-2 - -2)) + 83 + -328 + 232?
45
What is the value of -2 + (-10 - (2 + -3) - (-2 + 6 + -1))?
-14
1 - 32 - (1 - 9 - (412 - 412))
-23
Calculate 40 - (-47 + 59 + 11).
17
Evaluate 4 + 14 + (-5 - (6 + (-8 - 8))).
23
7 + 5 + -3 - 83 - -19
-55
Calculate -1316 - -1296 - (5 + -11 - (5 - 0 - 2)).
-11
What is 0 + -16 + -4 + -22?
-42
Calculate 14 - 7 - (5 + -3 - -8) - -42.
39
What is (-5 + 4 - -16) + -309 + 291 - -15?
12
Evaluate -40 - (0 + -52 - (853 - 864)).
1
Calculate 6 - (-2 - (-2 + 7 + -28)).
-15
What is -21 + 3 + (22 + 7 - 15)?
-4
Evaluate (-17 - (83 + -50)) + 67.
17
7 - ((-1 - -4) + 146 + -129)
-13
-19 + -2 - -3 - (-57 + 38 + 27)
-26
Evaluate -198 - -40 - (-237 + 46).
33
Evaluate 9 - ((-20 - -36) + (-12 - 11)).
16
Calculate -3 + 2 + 1069 + -1062.
6
What is the value of (1 + 11 - (-36 - 0 - -47)) + (-4 - 0)?
-3
What is 3 + -2 - (22 + (2 - -13)) - -1 - 2?
-37
Calculate -103 + 47 + 4 + -97.
-149
What is -12 - 27 - -26 - (58 + 3)?
-74
Calculate (17 - -16) + 11 + (21 - (13 + -8)).
60
What is -6 + -4 + 12 - 2 - 19 - (18 + -13)?
-24
Calculate 14 - 60 - (-106 - -13) - -33.
80
Calculate -33 + (0 - 31 - (-916 + 854)).
-2
Calculate 16 - (-14 + 33) - (-20 + 4) - (-61 - -1).
73
Calculate 30 + -40 + -35 + (-1 - 9).
-55
Evaluate -2 + -7 + (0 - (25 + -38)) + 18.
22
Evaluate 42 + -90 + 48 + (0 + 1 + 32 - 1).
32
Calculate 27 + 9 + -59 - (2 - 14).
-11
What is the value of -15 + (-40 - -43) + 17 + -9 + 2?
-2
(-167 - -160) + (-26 - -9) + -7
-31
What is the value of 0 + -3 + 10 + -1 - (1535 - 1551)?
22
Evaluate -21 + (71 - (61 + -45)).
34
What is the value of (-212 - -100) + (0 + (3 + 0 - -2) - -2)?
-105
Evaluate 41 - (-26 + (16 - 3 - 6)).
60
What is (-13 - 0) + (-2 - -54 - (2 - -10))?
27
Calculate 38 + -117 + 7 + 11.
-61
What is 1 + (-16 + (9 - 1) - -10 - 0) - -3?
6
Evaluate -97 + -2 + -304 + 458.
55
10 + (6 + -16 - -8 - (-9 - -34))
-17
What is -98 + (-28 - -6 - -13) + -3 + 1 - 14?
-123
Evaluate ((-10 - 2) + 19 - (41 + -3)) + (29 - 39).
-41
Calculate 250 + -372 - (-53 - 4).
-65
Evaluate 5 - (-3 - (-22 + -11 + -1 + -2 + 2)).
-26
1 + 27 - 58 - -64 - ((0 - -3) + 2)
29
What is 145 + (-68 - (-1 + -27)) + 17?
122
What is (-11 - (-1 + -14 + (0 - -42))) + 11?
-27
Evaluate (13 - (-11 - -28)) + (2 - 0) + -37.
-39
What is the value of 1141 + -1113 + -1 + -33?
-6
What is -13 + (11 - (23 + -4 + 6))?
-27
Calculate (16 - (29 - 32)) + -15 + -1.
3
What is -4 + ((11 - 4) + -11 - -14) - (12 - 1)?
-5
6 - ((-13 - -20 - 19) + -19)
37
1 + -12 - (-2 - 0 - (-18 - (-109 - -27)))
55
Calculate -259 - -20 - -141 - (-4 - -32 - 2).
-124
Evaluate 87 + -43 + 1 + -57.
-12
-52 + (22 - 8) + 23 - -46
31
Calculate -4 - (17 + -8) - ((12 - -6) + -85 - -16).
38
What is the value of -50 - (-59 + -63 + 89)?
-17
What is the value of 1 + (-1 - -2) - (-86 + 85) - 41 - -11?
-27
-35 - -1 - -45 - (-5 - 65 - -7)
74
Calculate 3 + (3 - 2 - (-19 + 30)) - -39.
32
What is (-6 - 30) + -1 + 8 + -17?
-46
What is the value of 4 + -11 + (-8 - -20) - (-2 + 12 + 85)?
-90
What is -3 - -2 - (-4470 + 4378)?
91
Calculate (92 + 4 - -1) + 0 - (-16 - 5 - -32).
86
What is -133 - ((-26 - -10) + 30 + -4 + -6 + -2)?
-135
Evaluate 58 - (-18 + -6 + 26 + 9 + -27).
74
Evaluate (34 - -3 - (-36 - -58)) + -5.
10
Evaluate 37 - (-71 - -32 - -152).
-76
22 + (-3 - 53) + -36 + 7
-63
Evaluate -1 + 35 + ((9 - 5) + -1 - (-4 + 7)).
34
What is (54 - (-66 + 118) - (-1 - -12)) + -7?
-16
What is the value of 21 + -111 + 74 + 4 + 1 + (1 - -148)?
138
Calculate -19 + -19 + 11 + 4.
-23
Evaluate (410 + -417 - (-2 + 5)) + (0 - -2) - 29.
-37
6 + (8 - (-2 - -4) - -2 - 0)
14
Calculate (-11 - -68 - 17) + 0.
40
30 - (50 + -48 - (-1 - 12))
15
What is -1 + -4 + (7 - -18) + (5 - -2)?
27
Calculate ((-150 - -159) + 1 + -9 - -4) + -15.
-10
-21 - (-9 - 3) - 4
-13
What is the value of 1 + 16 - 23 - (-1 + 4)?
-9
-5 + (16 - 17 - 13 - -7)
-12
Calculate 6 + (19 - 32) + -9 - (5 - (-2 + -1)).
-24
What is the value of -1 + (-102 - 14) + 62?
-55
What is the value of (-12 + 18 + 22 - 22) + 10?
16
What is 71 + 0 + (6 + 6 - -11 - 22)?
72
(-83 - -78) + 75 + -43
27
(38 - (13 - -20) - 13) + 0 + -42
-50
Calculate -485 + 487 - (104 + 1).
-103
What is the value of 68 - (44 + -53 + 4 + (-7 - -4))?
76
Evaluate 13 + -5 - (14 - (-16 + -13 + 29 + 6)).
0
Calculate (-58 - -2 - (-2 - 6)) + 31.
-17
What is -3 + (6 - -6) + -1 + 0 - (-1435 - -1451)?
-8
What is 70 - 0 - ((-1987 - -2000) + 2 + -4 + -7)?
66
What is the value of 127 + -117 - (-5 - -30)?
-15
-2 + -46 + 3 + 1 + 8 - -10
-26
What is the value of -1654 - -1537 - (-93 + 0)?
-24
-1 + -20 + (69 - (-218 - -267))
-1
What is the value of -226 - (-242 - -20) - (2 - 115)?
109
What is 46 + (48 - 9 - 83)?
2
Evaluate -72 + 12 + 23 + -39 + (-1 - -24).
-53
What is the value of -107 + 151 + 47 + -97?
-6
What is the value of 132 - (-18 + (122 - 82))?
110
What is -3 + (9 - (9 - (7 + 12)) - -15)?
31
What is (-29 - -65) + (1 - (9 - (31 - 14)))?
45
Calculate (-17 - (-5 + (-22 - -5))) + 27 + -100.
-68
(-8 - (11 + -17)) + (-4 - (5 + 0))
-11
What is the value of (11401 - 11316) + (1 - 139)?
-53
-109 - 42 - (-44 + -10)
-97
Calculate 150 + (-35 - -15) + (4 - (10 + 15)).
109
What is -41 - (-52 - -8) - (-1 + (2 - (-3 + 4)))?
3
1 + -18 + (9 + 9 + -13 - -2) + 31
21
What is the value of 87 - (84 + 5) - (-1 + 1)?
-2
260 - ((126 - 127) + 120)
141
Evaluate -16 + (-5 - -7) - (-485 - -453).
18
What is the value of (47 - 64) + 52 - 8?
27
(64 - 1) + 8 + 0 + (16 + -1 - 32)
54
What is the value of -19 - (-4 + 0 + -4 + 14 - (1 + 9))?
-15
Calculate 0 + -76 - (1995 + -2126).
55
Evaluate 93 + -94 + 32 + -7.
24
Evaluate 57 + (79 - (7 + 74)).
55
What is the value of -33 + (42 - 24) + -11 + -1 + 0?
-27
Calculate -13 + -1 + (36 - 19).
3
11 + -104 + (-21 - -23) - (2 - (-4 - -1))
-96
Calculate 20 - 4 - 27 - 2 - -24.
11
What is th | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from yfufjrm.
2/21
Two letters picked without replacement from {t: 3, a: 7, w: 3}. Give prob of picking 1 a and 1 w.
7/26
Calculate prob of picking 2 a and 2 n when four letters picked without replacement from nnanaaannnn.
21/55
What is prob of picking 1 v, 1 f, and 1 h when three letters picked without replacement from {f: 2, h: 4, o: 2, v: 2}?
2/15
Three letters picked without replacement from {a: 7, c: 2}. What is prob of picking 2 c and 1 a?
1/12
What is prob of picking 3 e and 1 d when four letters picked without replacement from {e: 6, d: 2}?
4/7
Calculate prob of picking 2 s when two letters picked without replacement from iisfiissisiif.
1/13
Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {l: 1, z: 1, a: 5, k: 2, r: 2, f: 2}.
5/78
Two letters picked without replacement from ejqievx. What is prob of picking 1 i and 1 q?
1/21
What is prob of picking 2 b when two letters picked without replacement from jjbbbjbjjjj?
6/55
Four letters picked without replacement from {p: 2, z: 8, m: 1, k: 2, l: 2, d: 2}. Give prob of picking 1 z, 2 p, and 1 l.
4/595
Calculate prob of picking 1 x, 1 v, and 1 w when three letters picked without replacement from {i: 1, v: 3, j: 1, x: 3, p: 2, w: 5}.
9/91
Two letters picked without replacement from {h: 1, u: 2, v: 1}. What is prob of picking 2 u?
1/6
Three letters picked without replacement from qqqqqq. What is prob of picking 3 q?
1
Two letters picked without replacement from {v: 2, d: 1, p: 4, j: 5, e: 2}. What is prob of picking 2 p?
6/91
Three letters picked without replacement from {k: 2, n: 8, x: 4}. What is prob of picking 3 x?
1/91
Three letters picked without replacement from {m: 4, b: 2}. Give prob of picking 1 b and 2 m.
3/5
What is prob of picking 3 o and 1 i when four letters picked without replacement from xtbioitooiiiib?
6/1001
Two letters picked without replacement from {d: 5, i: 2, s: 9}. What is prob of picking 1 s and 1 d?
3/8
Two letters picked without replacement from yjjwywyj. Give prob of picking 1 j and 1 w.
3/14
What is prob of picking 1 j and 1 z when two letters picked without replacement from jfzjfijjjjjjjujjjumu?
6/95
Four letters picked without replacement from {g: 3, o: 5, k: 7, q: 1}. What is prob of picking 1 q, 1 k, and 2 g?
3/260
Four letters picked without replacement from {k: 2, t: 4, w: 5, a: 1, f: 2}. What is prob of picking 4 t?
1/1001
What is prob of picking 1 c and 1 w when two letters picked without replacement from mmmcbmkkmwmmk?
1/78
Three letters picked without replacement from {o: 5, r: 1, h: 3, l: 1, u: 2, n: 1}. Give prob of picking 1 r, 1 l, and 1 n.
1/286
What is prob of picking 1 w and 1 e when two letters picked without replacement from {w: 5, a: 3, c: 2, e: 1, f: 1}?
5/66
Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, d: 1, z: 5, v: 2}.
5/36
What is prob of picking 4 i when four letters picked without replacement from {z: 6, n: 2, i: 4, l: 3}?
1/1365
Two letters picked without replacement from wzzz. Give prob of picking 2 z.
1/2
What is prob of picking 2 c and 1 z when three letters picked without replacement from cczcccccccczzzcz?
55/112
Two letters picked without replacement from {b: 9, i: 2}. What is prob of picking 2 b?
36/55
What is prob of picking 2 q and 2 t when four letters picked without replacement from {u: 4, t: 7, q: 7}?
49/340
Calculate prob of picking 1 a, 1 c, and 1 m when three letters picked without replacement from aqmmcqwcvcqwqqcmmww.
16/969
Four letters picked without replacement from {l: 6}. Give prob of picking 4 l.
1
Two letters picked without replacement from {j: 7, u: 1, r: 10}. What is prob of picking 1 r and 1 j?
70/153
What is prob of picking 1 f and 1 w when two letters picked without replacement from {j: 2, f: 1, x: 1, u: 1, w: 2}?
2/21
Calculate prob of picking 3 p and 1 r when four letters picked without replacement from {p: 5, r: 2}.
4/7
What is prob of picking 1 w, 1 o, and 2 l when four letters picked without replacement from {o: 1, l: 3, w: 2, f: 1}?
6/35
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {w: 2, l: 6, e: 10}.
20/51
Three letters picked without replacement from qqqqnqnqqqqqnnqnqqq. What is prob of picking 2 n and 1 q?
140/969
What is prob of picking 3 g when three letters picked without replacement from {k: 6, g: 7}?
35/286
Four letters picked without replacement from {j: 5, a: 9}. Give prob of picking 4 a.
18/143
Two letters picked without replacement from {b: 7, c: 2, i: 2}. Give prob of picking 1 i and 1 c.
4/55
What is prob of picking 2 j when two letters picked without replacement from wjjjjiuemiue?
1/11
Calculate prob of picking 1 w and 1 u when two letters picked without replacement from uuzuxzuwzu.
1/9
What is prob of picking 1 f and 3 k when four letters picked without replacement from {k: 3, f: 8}?
4/165
What is prob of picking 1 q and 1 v when two letters picked without replacement from {k: 1, q: 1, v: 2}?
1/3
Three letters picked without replacement from {d: 2, q: 3, n: 3}. Give prob of picking 2 d and 1 q.
3/56
Three letters picked without replacement from bbooooooobooooo. Give prob of picking 3 o.
44/91
What is prob of picking 2 k when two letters picked without replacement from {m: 1, k: 4, b: 7, v: 1, z: 2}?
2/35
What is prob of picking 1 l and 1 j when two letters picked without replacement from njebdldej?
1/18
What is prob of picking 2 m when two letters picked without replacement from mmrrmmrmmrrrrrmr?
7/40
Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {p: 3, r: 2, k: 4}.
1/6
What is prob of picking 2 u and 1 c when three letters picked without replacement from xxluhluuoooxuuluc?
3/136
What is prob of picking 1 a, 2 o, and 1 b when four letters picked without replacement from {o: 3, v: 5, b: 2, a: 7}?
3/170
Calculate prob of picking 2 x when two letters picked without replacement from {z: 2, x: 3}.
3/10
Calculate prob of picking 2 c when two letters picked without replacement from {p: 10, c: 10}.
9/38
What is prob of picking 1 a and 1 o when two letters picked without replacement from aaaaaaaaaaao?
1/6
What is prob of picking 1 u and 3 e when four letters picked without replacement from {k: 2, f: 6, u: 2, e: 3, n: 1, b: 1}?
2/1365
Three letters picked without replacement from rsereejrwwfjff. Give prob of picking 1 r, 1 j, and 1 w.
3/91
Two letters picked without replacement from {i: 1, v: 1, z: 1, r: 2, q: 1, d: 1}. Give prob of picking 1 i and 1 q.
1/21
Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {e: 9, i: 3}.
27/55
Calculate prob of picking 3 a and 1 b when four letters picked without replacement from aaaaaaaabaabbaabbba.
143/323
What is prob of picking 1 p and 1 a when two letters picked without replacement from pagdvuuaauad?
2/33
Two letters picked without replacement from {l: 2, o: 1, f: 4}. What is prob of picking 1 l and 1 o?
2/21
What is prob of picking 3 h when three letters picked without replacement from {h: 17, m: 1}?
5/6
Calculate prob of picking 1 m and 1 j when two letters picked without replacement from {r: 1, g: 2, m: 4, j: 2}.
2/9
What is prob of picking 2 j when two letters picked without replacement from {h: 15, j: 3}?
1/51
Three letters picked without replacement from ekickekekaik. What is prob of picking 1 a, 1 k, and 1 i?
1/22
Two letters picked without replacement from {v: 1, j: 12}. What is prob of picking 1 v and 1 j?
2/13
Four letters picked without replacement from lxxllxlxxxlx. What is prob of picking 1 l and 3 x?
35/99
What is prob of picking 1 j and 1 n when two letters picked without replacement from {n: 2, c: 1, d: 1, j: 2, l: 2}?
1/7
Calculate prob of picking 2 t when two letters picked without replacement from {w: 4, m: 2, o: 2, t: 3}.
3/55
Calculate prob of picking 1 i and 2 f when three letters picked without replacement from hnnffif.
3/35
Calculate prob of picking 1 x and 3 j when four letters picked without replacement from djjjsdx.
1/35
What is prob of picking 1 b and 1 y when two letters picked without replacement from {d: 2, e: 1, b: 2, y: 1, s: 1}?
2/21
Four letters picked without replacement from fffacaffffffcff. G | {
"pile_set_name": "DM Mathematics"
} |
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