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Calculate the highest common divisor of 138 and 8211. | 69 |
Let h = 1817 - 427. What is the highest common factor of 60 and h? | 10 |
Suppose 0 = 2*a + 2*a + 32. Let s(b) = 26*b - 26. Let f(l) = 17 - 17*l. Let g(o) = a*f(o) - 5*s(o). What is the first derivative of g(c) wrt c? | 6 |
Let x(k) be the first derivative of -k**4/4 + 10*k**3/3 + 25*k**2/2 + 7*k - 3. What is the tens digit of x(11)? | 6 |
Let y be ((-3)/1)/(3/(-494)). Suppose y = -2*f - 11*f. What is the hundreds digit of (-6 + 2)*(f - -3)? | 1 |
What is the remainder when 85/3 - (-16)/24 is divided by 8? | 5.0 |
What is the value of ((-30)/32*-1)/((-330)/440)? | -1.25 |
Let l be 1/(-12)*3 + (-21)/(-4). Suppose -5*c + 36 = 4*j, c + 3*c - 4*j = 0. Which is smaller: l or c? | 4 |
Suppose -10*o + 20 = -5*o. Let q be o*-1*(-30)/(-20). Which is bigger: -7 or q? | -6 |
What is the value of (-31500)/225*(-6)/(-63)*-1*(-18)/(-6)? | 40.0 |
Let j = 56 + -112. Let f = j - -56. Suppose 2*n + 15 = -3*b + 2*b, f = 4*n - 4*b. Let m(d) = -d - 2. Give m(n). | 3 |
Let m(w) = 5*w**2 - 72264*w - 289048. Calculate m(-4). | 88 |
Let v(u) = -27*u**3 + 16*u**2 + 27*u - 2. Let f be v(-2). What is the greatest common divisor of 14 and f? | 14 |
Let q(m) be the second derivative of m**5/20 - m**4/4 - m**3/3 + m**2/2 + 23*m + 1. Suppose 6*d - 2*d = 8. Give q(d). | -7 |
Let z(j) = j**3 - 2*j**2 - 20*j - 21. Let b be z(6). Solve b*l = -p - 18, 4*l + 11 = -4*p - 21 for l. | -5 |
Calculate 11 + (10 - (-8 - (-3 - (3 - 7 - 6)))). | 36 |
Solve 0 = 8*w + 4*u - 176, -16*u + 12*u + 168 = 73*w - 69*w for w. | 2 |
Solve 133*b - 6904 + 1135 = 1147 for b. | 52 |
What is the remainder when 1292157 is divided by 423? | 315 |
What is the remainder when 8158 is divided by 51? | 49 |
Let w(c) = 4*c**2 - c + 7. What is the remainder when 238 is divided by w(3)? | 38 |
Let a(i) = 7*i**2 + 4*i + 2. What is the remainder when a(-3) is divided by 18? | 17 |
Let w = 3 - 1. Let z = -106 - -102. Sort 1, z, w in increasing order. | -4 1 2 |
Let r = -5 - -4. Let l = 3 + 0. Sort r, 4, l in decreasing order. | 4 3 -1 |
Suppose 3*n + 3*y - 2*y = 512, 2*n - 4*y = 332. Let p = n + -165. Calculate the remainder when 47 is divided by p. | 2 |
Let v = 158 + -54. Let m = v + -58. Suppose -32 = -2*i - 4*h, 0*i - 4*i + m = -h. What is the tens digit of i? | 1 |
Calculate the highest common factor of 715 and 2653079. | 143 |
Let r(u) = -u**2 - 6*u - 4. Let j be (-4)/6*(-18)/(-4). Let z be r(j). List the prime factors of ((-30)/z)/((-3)/8). | [2] |
Calculate -38214 divided by -33. | 1158.0 |
Let j(v) = -2*v**2 - 2735*v + 162363. Give j(57). | -30 |
What is the greatest common divisor of 61864 and 684? | 76 |
Let d(z) = -2*z**3 + 54*z**2 + 44*z + 52. Calculate d(28). | -284 |
Let l = -2411 + 2419. Solve l*f + 56 = 80 for f. | 3 |
Let u(n) = -n**3 + 7*n**2 - 7*n + 4. Let k be u(6). Let t be -2*k*2/28. Which is the closest to t? (a) -3/4 (b) -1/2 (c) -1 | -0.5 |
Which is the third biggest value? (a) -2/5 (b) 21584/11 (c) 2 | -0.4 |
Calculate the remainder when 100 is divided by 2 - (4 + 1) - (-435)/15. | 22.0 |
Calculate -67 + 67 - (-3 - (0 + -5)). | -2 |
What is the remainder when 2701487 is divided by 1636? | 451 |
Solve -21014*n + 21057*n - 688 = 0 for n. | 16 |
What is the value of -16 - (-15 - (6 + -7 - 6))? | -8 |
Suppose -24*d - 4*q = -25*d + 57, d = -5*q + 3. Solve -d*s = -46*s - 78 for s. | -6 |
-5 + -7 + (-1 - -7) | -6 |
Let c(b) = -16457*b - 164574. What is c(-10)? | -4 |
Suppose 4*o + 178 = 2*i, 0*o = -3*i - 5*o + 223. Calculate the highest common factor of 6 and i. | 3 |
What is the third smallest value in -1/6, 0, 13.1, -0.4, 752? | 0 |
Let o = 0.0001999 - 3.0001999. Suppose 3*h - 7*h = 4*z, 0 = 3*z - 4*h + 28. Let w be (0 - -3)/((-6)/z). What is the fourth biggest value in 0, w, 2/7, o? | -3.0 |
Which is the closest to 0.14? (a) 0.28 (b) -3.8 (c) -2 (d) -3 (e) 7 | 0.28 |
Let f = -2 - -20. Let u be (-4)/10*(-3 + f). What is the remainder when (u - -5)/((-2)/50) is divided by 9? | 7.0 |
Suppose 4*j = -q - 12, 43 - 34 = q - 3*j. Solve 9*o + o = q for o. | 0 |
What is the remainder when 836 is divided by 210? | 206 |
Which is the nearest to 19? (a) -2 (b) 1 (c) 53 (d) 1/3 (e) -8 | 1 |
What is 115046 to the power of 1/2, to the nearest integer? | 339 |
Calculate the highest common factor of 19120 and 1673. | 239 |
Solve -6 + 1 = -5*f for f. | 1 |
Let i = 22 + -14. Let p = i + -13. Let h = p + 9. Solve 2 = 2*z + h for z. | -1 |
What is the ten thousands digit of 771982370? | 8 |
Let s(t) = t**2 - 30*t + 83. Calculate s(6). | -61 |
Calculate the greatest common factor of 1029958 and 15839. | 47 |
Let x = 2.3 + -3. Let q = 0.2 + x. Let c(m) = -m**2 - 2*m - 1. Let k be c(-2). What is the third biggest value in q, -2, k? | -2 |
Let j(l) = 29*l - 1. Let i be j(1). Suppose -i - 8 = -2*p. Solve -3*k + 6 = 2*k + 3*t, -4*t = -2*k + p for k. | 3 |
Suppose 3*l = -h - 8, 5*h + 2*l = 1 - 2. Let x be 1 + -11 - ((-416)/26 - -6). Solve x = -m + 2*m + h for m. | -1 |
Let s(u) = -u**3 + u**2 - 6. Suppose -7 = -21*b + 20*b. Suppose -4*g - 2*h = -10, 3*g - b*g = -3*h + 15. Give s(g). | -6 |
What is 63785106 to the power of 1/2, to the nearest integer? | 7987 |
Suppose 14293 = 96*c - 41483. What is the remainder when c is divided by 189? | 14 |
What is the units digit of 888360365? | 5 |
What is the highest common divisor of 1 and 53? | 1 |
Let c(i) be the second derivative of 2*i**3/3 - i**2/2 + 2*i. Let d be c(6). Let o be (0 - -1 - 0)*115. Calculate the greatest common divisor of o and d. | 23 |
Let s = -10 + 14. Suppose c + s = -3*c. Let h = 4 + c. What are the prime factors of h? | [3] |
What is the thousands digit of 54643? | 4 |
Solve -227363*n - 5346 = -226877*n for n. | -11 |
Solve 37 = -5*a + 52 for a. | 3 |
Which is bigger: 859 or -1.437? | 859 |
What is the hundred thousands digit of 113368? | 1 |
Let n(q) = 0 - 5 + 5*q + 0. Let k be n(6). Suppose -2458 = -273*f + 4367. What is the highest common factor of f and k? | 25 |
What is the fourth root of 522094552 to the nearest integer? | 151 |
What is the highest common divisor of 175 and 475? | 25 |
Let l(x) be the second derivative of 11*x**6/10 - 9*x**4/4 + 41*x. Find the third derivative of l(r) wrt r. | 792*r |
Solve -4165 + 47402 = 648*m + 402*m - 17663 for m. | 58 |
Solve -13752*b + 13753*b - 10 = -2*h, 3*h - 2*b = 29 for h. | 7 |
What is the closest to -1 in -17, -26, 2/11, -12, -1? | -1 |
Let m = 478 + -478. Let u be (-4)/20 - (-2)/5. Which is the second smallest value? (a) -3 (b) 4 (c) m (d) u | 0 |
Let z(c) = 3*c**2 - 1715*c + 25507. Calculate z(15). | 457 |
Let y = 73 + -64. Suppose 22 = -4*u + y*u + 2*r, 0 = -2*r + 2. Solve -u = 4*h - 0 for h. | -1 |
Let u(v) = -v**3 + 10*v**2 - 7*v - 3. Let x be u(9). Calculate the highest common factor of x and 165. | 15 |
What is the third smallest value in 1, 1.3, -0.14? | 1.3 |
What is the value of (183/(-427))/((-12)/56)? | 2.0 |
Calculate the highest common factor of 1225 and 14455. | 245 |
Which is the second biggest value? (a) 15/8 (b) 1 (c) 0 | 1 |
Let s(r) = 2*r**3 + 5*r**2 + 2*r - 10. Calculate s(-4). | -66 |
What is the cube root of 11635 to the nearest integer? | 23 |
Solve 161 - 162 = -z for z. | 1 |
Solve 5*z = -3*f - 47, -10*f + 14*f = 3*z + 5 for f. | -4 |
Solve 3*r - 7*u + 11*u = -14, r - 2*u - 2 = 0 for r. | -2 |
Calculate 1*16/(1200/45). | 0.6 |
-156 divided by 52 | -3.0 |
Suppose -228*x + 4128 = -220*x. Let q = x - 512. Solve 0 = 3*k - g - 9, -q*k + 3*g + 17 = -0*k for k. | 2 |
Let x(l) = -l**3 + 5*l**2 + 5*l + 7. Suppose -5*p + 7 = 4*o - 3, -3*o = 2*p + 3. What is the units digit of x(p)? | 1 |
Let v(a) = -39*a - 1170. Let h be v(-30). Let f = -4 + 3.75. Let n = -0.05 + f. What is the closest to -2/5 in h, n, 3/2? | -0.3 |
Which is the nearest to 0? (a) -1/10 (b) -4 (c) -3 | -0.1 |
Let u(w) be the third derivative of w**6/120 + 11*w**5/30 + 19*w**4/24 - 10*w**3/3 + 21*w**2. Let i be u(-21). What is the highest common factor of 11 and i? | 11 |