text stringlengths 270 8.19k | meta dict |
|---|---|
- 14 - 8 = 0. Let b be (-18)/n*(-4)/(-6). Suppose -11 = b*y - 68. List the prime factors of y.
19
Suppose 0 = -3*u - 5*c - 50, u - 3*c = 3*u + 33. Let r be ((-24)/u)/(8/20). List the prime factors of 3 + (r - (4 - 1)).
2
Suppose 3*h - 4*c - 155 = 0, 4*h - 213 = -0*h - c. List the prime factors of h.
53
Suppose 5*s - 7*z + 2*z - 440 = 0, 4*s + 2*z = 328. Suppose w = 5*w - s. What are the prime factors of w?
3, 7
Let p(l) = l**2 + 2*l - 4. List the prime factors of p(6).
2, 11
Let u = 3 + 7. List the prime factors of 605/25 - 2/u.
2, 3
Let q be 4 + (-1 - 0/1). List the prime factors of 5*q*4/6.
2, 5
Let y(a) = 5*a**2 + 2*a + 1. Let w be y(-1). Suppose 3*c - 4*d - d = -22, -3*d = w*c + 10. Let m = 7 + c. What are the prime factors of m?
3
Suppose -4*l - 8 = -0. List the prime factors of (-3)/l*(-56)/(-6).
2, 7
Let c be 24/15*5/2. Suppose 8 = p - 0*b - 3*b, 60 = c*p + 2*b. What are the prime factors of p?
2, 7
Let f be 0 + -4 + 1 - 4. Let j(i) = i**2 + 3*i + 5. List the prime factors of j(f).
3, 11
Suppose -2*i - n + 69 = 0, 2*i + 5*n - 62 = 11. Suppose -k + 3*k + 4*z = i, -2*z - 29 = -k. What are the prime factors of k?
23
Let j = 27 + -25. What are the prime factors of j?
2
Suppose 2*c + 4 = -2*w, 13 = -0*c + c - 2*w. Suppose k + a = 2*k - 7, 4*k = -c*a + 63. List the prime factors of k.
2, 3
Suppose 2*y + 9 = 5*y. Suppose 0 = -4*r + 2*i - 0*i + 34, 3*r = 4*i + 28. Suppose -5*z = 3*c + 1, r*c - y*z = 3*c + 55. What are the prime factors of c?
2
What are the prime factors of (-1 + -149)/(((-18)/(-4))/(-3))?
2, 5
Suppose -4*j + 0*q = 2*q + 10, j - 5*q = 25. Suppose -3*a + 4*t = -91 - 69, -2*a + 5*t + 116 = j. What are the prime factors of a?
2, 3
Suppose a + 2 = -0, -2 = q + 2*a. Suppose 2*k = k - q. Let h(i) = i**3 + 4*i**2 + 4*i + 2. List the prime factors of h(k).
2
Let m = 205 + 35. What are the prime factors of m?
2, 3, 5
Suppose 5*v - 128 = v. What are the prime factors of v?
2
Let d = 3 - 2. Let n(b) = -b - 39 + 10*b**2 + 39. What are the prime factors of n(d)?
3
Suppose -5*j = 3*v - 2*v - 9, v - 9 = -3*j. Suppose 2*q - 29 = 1. Let w = q - v. List the prime factors of w.
2, 3
Suppose 79 = 5*w - 2*s + 19, -48 = -4*w + s. Suppose -102 + w = -5*v. List the prime factors of v.
2, 3
Let q(p) = -8*p**3. Let u be q(-1). Suppose -u*s + 12*s = 160. List the prime factors of s.
2, 5
Let z = 3 - 2. Suppose 3*h - 2*h = z, -b + 23 = -5*h. Suppose 5*a = -5, -23 - b = -4*d + 3*a. List the prime factors of d.
2, 3
Suppose 4*h + 150 = 5*a, -4*a = -h - 0*h - 109. What are the prime factors of a?
2, 13
Suppose -3*z = -z - 4*n - 4, 2*n - 6 = -3*z. Suppose 0*j = -4*r + 4*j + 64, -z*r + 40 = -4*j. List the prime factors of r.
2, 3
Suppose -4*q - 6 = -5*q. List the prime factors of q.
2, 3
Suppose 3*a - 24 = -2*o - a, 11 = -2*o + 3*a. Suppose 2*b + 2*x = 98, o*b + b - 107 = 5*x. Suppose -d - d = -b. What are the prime factors of d?
2, 11
Suppose -5*z - 45 = -2*u, -4*u + 3*z = -0*u - 83. Let w = u - -17. What are the prime factors of w?
37
Let b = -10 - -10. Suppose -4*y = -b*y. Suppose 8 = -y*t + 4*t. List the prime factors of t.
2
Suppose 70 = 3*s + 19. Suppose -15 - s = -v. List the prime factors of v.
2
Let f = 740 - 316. List the prime factors of f.
2, 53
Suppose 6*x - 7*x = -29. List the prime factors of x.
29
Let g(i) = -i**3 - 3*i**2 - i - 1. Let y be g(-3). Suppose -7 - 3 = -4*d + o, 2*d + y = -3*o. List the prime factors of 3/d*48/9.
2
Suppose 2*g = -0*g - 4. Let t(m) = -3*m**3. Let x be t(g). Suppose 0*b + x = b + 5*o, -b + 18 = -o. What are the prime factors of b?
19
Let c be (3 + (2 - 3))/(-1). Let p = -35 + 33. List the prime factors of 13 + 2/c + p.
2, 5
Let r be (3 - -53) + (2 - -2). Suppose -m + 3*m = r. List the prime factors of m.
2, 3, 5
Let i = 23 - 16. Let c be (-2)/(-2) + 10*1. Let q = c - i. What are the prime factors of q?
2
Suppose 4*h - 32 = -0*h. Suppose -r - 3*x - h = 0, 3*r - 4*x = -x + 36. What are the prime factors of r?
7
Let a = 251 + -100. What are the prime factors of a?
151
Let v(b) be the second derivative of 11/20*b**5 - 1/12*b**4 + 1/6*b**3 - 3*b - 1/2*b**2 + 0. List the prime factors of v(1).
2, 5
Suppose 3*d + 45 = i - 19, 2*d + 220 = 3*i. List the prime factors of i.
2, 19
What are the prime factors of 928/14 + 14/(-49)?
2, 3, 11
Let h(l) = l**3 - 4*l - 3. Let m be h(-2). Let i be m/(-6) + (-14)/(-4). Suppose 0 = -f + i*k + 4 + 4, -k + 7 = 2*f. List the prime factors of f.
2
Let m be (-20)/50 + 1614/10. Suppose 0 = 6*c - m - 67. List the prime factors of c.
2, 19
Let h be (0 - -1)/(1/(-17)). Let w = h + 25. List the prime factors of w.
2
Suppose -4*m - 5*i - 44 = 0, -3*m - 30 = -2*i + 5*i. Let v be (-22)/m - 3/(-9). Let z = 0 + v. List the prime factors of z.
2
Let d = 42 + -18. Let i be (-2 + 1 - 2)*-1. Suppose -i*j + j = -d. What are the prime factors of j?
2, 3
Suppose 2*p + 0*t + 13 = t, p = 4*t - 24. Let c be (-2)/p - 130/(-20). Suppose c = a - 2. List the prime factors of a.
3
Let y = 111 - 63. List the prime factors of y.
2, 3
Let w = 42 + -10. Suppose -5*t + 28 = y, -3*y = -y + 4*t - w. List the prime factors of y.
2
Let c = -13 + 23. Suppose -2*f = -4*t + 46, -4*t + c = 4*f - 30. Suppose m - 3*m = 3*j - t, 44 = 5*m + 2*j. List the prime factors of m.
2, 5
Let x(o) = -16*o + 58. What are the prime factors of x(-19)?
2, 181
Suppose -k = 5*p - 80, -3*k - 3*p + 274 = -5*p. List the prime factors of k.
2, 3, 5
Let u(o) = -41*o. Let q be u(-1). Suppose q = s + 3*w, -2*s + 3*w = 2*s - 89. Suppose -5*m = -2*t - s, 3 = -2*m + 5*m + 3*t. List the prime factors of m.
2
Let u(x) = x. Let f be u(1). Suppose n = 2*w + 4*n + f, -1 = -3*w - 2*n. Suppose -2*k - 5*j = -40, -5*j - w = -21. List the prime factors of k.
2, 5
Let j(m) = 11*m - 4. Let g be j(4). Let p = g - 25. What are the prime factors of p?
3, 5
Suppose 5*i + 24 - 4 = 0. Let r = i + 6. Suppose 0 = -g - r*o + 12, -25 = -2*g - g + 5*o. What are the prime factors of g?
2, 5
Suppose -5*a - 2 = -6*a. Suppose -5*c + 2*v + 3 = -1, 0 = -5*v - 10. Suppose -24 = -4*p + 4*j, c*j - a = -p + 2*j. List the prime factors of p.
2, 5
Let s be (-15)/10*(-16)/6. Suppose 20 = s*l + 5*z + 1, 0 = -l - 3*z + 3. List the prime factors of l.
2, 3
Suppose 4*g - 14 = -4*k + 78, 0 = -5*g - 15. Suppose 0 = -3*n - 15, 2 - k = -2*w + 4*n. What are the prime factors of w?
2
What are the prime factors of (-4)/(2 - 60/27)?
2, 3
Let w = 5 - 14. Let u = 9 - w. What are the prime factors of u?
2, 3
Let d(t) = t**3 - 7*t**2 - 2. Let u = 6 - -1. Let o be d(u). Let n = o - -12. What are the prime factors of n?
2, 5
Let y(n) = n + 2. Let h be y(-10). Let j = h + 12. Suppose 3*q = j*r - 51, -24 = -5*r + 5*q + 41. List the prime factors of r.
2, 3
Let j be -87*(-2)/6*1. Let x = 48 - j. What are the prime factors of x?
19
What are the prime factors of (-42)/14 + 27 + 0?
2, 3
Let n = -10 - -14. Suppose 2*v + 128 = n*v. Suppose 0 = u + 3*u - v. What are the prime factors of u?
2
Let z(r) = r + 5. Let c = -4 + 4. Let f be z(c). Let l(i) = -i**2 + 7*i - 2. What are the prime factors of l(f)?
2
Suppose -w - 8 = -9. Let d = w + 14. List the prime factors of (-32)/(-10) - 3/d.
3
Suppose -10 = -3*v - 82. Let z = v - -52. List the prime factors of z.
2, 7
Suppose 0 = 3*m + 2*m + 25. Let v = m - -16. What are the prime factors of v?
11
Suppose -4*c + 2*f - 16 = 0, 5*c + 4*f + 2 = 2*f. What are the prime factors of ((-15)/c)/((-9)/(-36))?
2, 3, 5
Let k = -43 + 102. What are the prime factors of k?
59
Let h be ((-3)/2 - -2)*16. Suppose l - h = -l. What are the prime factors of 2/(l/3)*8?
2, 3
Suppose 0 = -2*j - j. Suppose -4*c - 15 - 13 = j. Let v = 0 - c. What are the prime factors of v?
7
Let m(b) = -6*b - 3*b**2 + 0 + 4 + 2*b**2. Let q be 44/(-8) + (-2)/(-4). List the prime factors of m(q).
3
Let q = -112 - -79. Let l be 2/11 + (-1149)/q. Suppose -5*u + 8*u = 4*h - l, 4*h + 5 = -5*u. List the prime factors of h.
5
Suppose -2*n - 528 = -5*p + 2*n, 3*n = 4*p - 423. Let g = p - 77. Suppose -3*q + q = -5*c + g, 0 = 4*c - q - 26. What are the prime factors of c?
7
Let h be (4/12)/((-1)/(-27)). Let c = 6 - 36. What are the prime factors of (-1)/((h/3)/c)?
2, 5
Suppose -4*w + 4 = -2*w. Suppose 24 = 4*b - w*b. What are the prime factors of b?
2, 3
Suppose 0 = 2*s - 0 + 8. List the prime factors of ((-16)/(-20))/(s/(-10)) | {
"pile_set_name": "DM Mathematics"
} |
= -5.84296 + -0.14604. What is g rounded to one dp?
-6
Let r = 29096 + -29095.99986493. What is r rounded to 6 dps?
0.000135
Suppose 10*d = 13*d + 39360. Let j be (-1)/(-4 - 52476/d). What is j rounded to the nearest 1000?
3000
Let k = 80948 + -34911. Let c = -68337 + k. What is c rounded to the nearest 1000?
-22000
Let q = 82610299737.600000367 - 82610299788. Let j = q - -50.4. What is j rounded to seven decimal places?
0.0000004
Let o = -9 - -9.084. Let n = o + 39.916. Let t = n + -40.49. Round t to one decimal place.
-0.5
Let r be (-2 - (0 + -54264))*(60 + 456). Suppose 4*q + 28497601 = q - 5*i, -5*q = -5*i + 47495935. Let d = r + q. Round d to the nearest one million.
19000000
Let t = 682 + -687.37. Let m = t - 4.85. What is m rounded to the nearest integer?
-10
Let c = -8318.989802 - -8319. Let h = -42.017198 + c. Let a = -42 - h. What is a rounded to three decimal places?
0.007
Let h(f) = 22*f**3 - 3*f**2 + 3*f + 22. Let r be h(-4). Round r to the nearest one thousand.
-1000
Suppose 2*b - 113550 = 4*b. Let t be (1 - b/6)/((-33)/44). Let l = -5928 - t. Round l to the nearest 100.
6700
Suppose -2*j - 361 = -5*q, j + 90 = -5*q + 457. Let t = 65 - q. Let x be ((-1126)/t - 2)/((-33)/88). What is x rounded to the nearest 100?
-400
Let n = -0.12 + 7.12. Let l = 10 + n. Let g = 16.94 - l. Round g to two dps.
-0.06
Let l = -8751.2 - -8025.54. Round l to the nearest 100.
-700
Suppose -25 = -w - 4*w, 5*f + 5*w + 5 = 0. Let l be 2/12 + (-107)/f. Suppose l*c - 7*c + 880 = 0. Round c to the nearest one thousand.
0
Let s = -383308 - -545569. Let o = -162250.39948 + s. Let t = o + -10.6. Round t to 4 dps.
0.0005
Let k(d) = -414801*d - 2831. Let f be k(-31). What is f rounded to the nearest one million?
13000000
Let j = 0.2406 - 0.240617696. Round j to 6 dps.
-0.000018
Let d = -107147657631.00002902 + 107147659666. Let p = d + -2035. What is p rounded to 5 decimal places?
-0.00003
Suppose -5*w - 1933600 = 4*c, -2299318 = 10*w + 2*c + 1567882. What is w rounded to the nearest one hundred thousand?
-400000
Let r = -42.25 + -11.085. What is r rounded to the nearest integer?
-53
Suppose -2*o + 3388800 = -5*u, 5*o + u - 8472000 = 2*u. Suppose 0 = 31*g - 23*g - o. Round g to the nearest 10000.
210000
Let y(n) = -4760*n**2 - 190*n - 1770. Let g(m) = -680*m**2 - 27*m - 253. Let o(v) = -15*g(v) + 2*y(v). Let f be o(-11). Round f to the nearest 1000.
82000
Let p = 13460 - 12829.9. Round p to the nearest ten.
630
Let l = 19.02702249 + -19.027. What is l rounded to seven dps?
0.0000225
Let s = -4471.022839 - -4471. Round s to four dps.
-0.0228
Let f = -3785 + 3749.19. Let i = f - -34. What is i rounded to the nearest integer?
-2
Let l = 122.55 + -123. Let r = 6.85 + l. Let p = r + -6.40000568. Round p to 6 decimal places.
-0.000006
Let m = -0.02 + 0.065. Let r = -586 - -586.0457. Let h = r - m. Round h to three decimal places.
0.001
Let t = 0.66 + 2.54. Let s = 2.98 - t. Let k = 0.2199961 + s. Round k to 6 decimal places.
-0.000004
Let o = 17727 + -17726.99995392. What is o rounded to four decimal places?
0
Let n = -0.072602 - 0.339828. What is n rounded to three dps?
-0.412
Let x = 0.0052 + 479.9948. Let n = -482.555 + x. What is n rounded to one decimal place?
-2.6
Let b = 5.663 - -223.037. Let m = -239 + b. Let x = m - -10.2763. What is x rounded to 3 decimal places?
-0.024
Let d = -7.002 + 0.102. Let p = d - -7.5. Let j = p - 0.60096. What is j rounded to 4 dps?
-0.001
Let x = -28.3 - -205.3. Let w = -749251 - -749427.9522. Let z = x - w. Round z to 2 decimal places.
0.05
Let q = -44603 - -44594.3254. Round q to one decimal place.
-8.7
Let c(w) = 10*w**2 + 17*w - 98. Let b be c(19). Let z be (2/3)/((-1)/(-3)). Suppose -z*n - p - 2*p = -3825, -b = -2*n - p. What is n rounded to the nearest 100?
1900
Let k = -249.8 + -19637.2. Let v = -19878.483 - k. Let w = v + -9. What is w rounded to one decimal place?
-0.5
Let i = -1076.1568 + 0.1568. Let x = i - -1075.95716. Round x to two dps.
-0.04
Suppose -10*q + w + 3954180 = -7*q, -4*q - 2*w + 5272230 = 0. Let u = -558059 + q. What is u rounded to the nearest one million?
1000000
Let i = -184.22592 - -184. What is i rounded to three dps?
-0.226
Let m = 56.64 - -0.36. Let t = 57.00001808 - m. What is t rounded to six dps?
0.000018
Let s = -88.845 - -206.8. Let t = 120.4 - s. Round t to one decimal place.
2.4
Let q = 19620.000016218 - 19620. What is q rounded to 6 decimal places?
0.000016
Let n = -1.4794 + 3.5103. What is n rounded to one decimal place?
2
Let i = 12116 - 11888.55. What is i rounded to the nearest one hundred?
200
Let x = -5.098293 - -12.81789. Let i = 7.72 - x. What is i rounded to four dps?
0.0004
Let r = 1189.35776 - 1189. Let m = r - 0.4334. Let g = m + 0.074. What is g rounded to four decimal places?
-0.0016
Let k = -6660 + 6697.955. Let z = 600 + -562. Let c = z - k. What is c rounded to two decimal places?
0.05
Let v = -35642 - -35641.57725. Round v to 3 dps.
-0.423
Suppose 1839*p - 1850*p + 89661 = 0. What is p rounded to the nearest one thousand?
8000
Let f = 0.3 + -27.5. Let t = 29.033 + f. What is t rounded to 1 decimal place?
1.8
Let g = -219 - -218.02. Let j = g - -0.979999326. Round j to 7 dps.
-0.0000007
Let g = -6.68396927 + 6.684. Round g to five decimal places.
0.00003
Let h = -110432 + 60892. Round h to the nearest 10000.
-50000
Let t = 31982967893 + -31982456143.200248. Let x = 511743 - t. Let h = -6.8 - x. What is h rounded to five dps?
-0.00025
Let i = -1.35 - -1.1. Let k = i + 0.2500575. What is k rounded to 6 decimal places?
0.000058
Let s = 5939 - 7085.4. What is s rounded to the nearest one hundred?
-1100
Let b = -25372 + 25341.017. Let t = b + 31. Let q = t + -3.317. What is q rounded to zero dps?
-3
Let d = 31.17 + -31.17363. Round d to four dps.
-0.0036
Let w = -8945215 + 4420215. Round w to the nearest 100000.
-4500000
Let z(y) = -4702*y + 8. Suppose x - 36 = -8*x. Let m be z(x). What is m rounded to the nearest 10000?
-20000
Let s = 366.78 - 363. Let u = s - 2.2. Let r = u + -2.95. Round r to 1 decimal place.
-1.4
Let h(v) = 2891*v**2 - 4*v + 10. Let z(c) = 2*c**2 + 5*c - 9. Let s be z(-4). Let u be h(s). Suppose 35583 + u = -11*w. Round w to the nearest 10000.
-10000
Let w = -4.9788096 + -42.9206134. Let l = w + 47.9. Round l to 4 decimal places.
0.0006
Let n = 882.9 + -892.4952. Let v = -9.6 - n. Let x = -40.6952 + v. Round x to the nearest integer.
-41
Let a be 360/(-42)*(-3 - -1)*-34097000. What is a rounded to the nearest 1000000?
-585000000
Let w = 6.593 + 1.064. Let m = w + -18.78. Let n = m + 0.223. What is n rounded to the nearest integer?
-11
Let w = -10048 - -10048.0054732. What is w rounded to four decimal places?
0.0055
Suppose -31 = 5*n - 6*n - x, 3*n - 114 = 4*x. Suppose n*l - 9601 = 41399. Round l to the nearest 1000.
2000
Let h = 1776182163798 + -1776170016592.000208. Let s = -12147317 + h. Let o = -111 - s. Round o to five decimal places.
0.00021
Let o = 213.52 + -217. Let c = -2.7 - o. Let q = 2.03 - c. Round q to one dp.
1.3
Suppose 3*j = 2*r + 2470009, 4940015 = -41*r + 37*r + 5*j. What is r rounded to the nearest 100000?
-1200000
Suppose -2*m + 3641423 = 44215. Suppose -3*l + m + 3975052 = 0. Let i = -505448 - l. What is i rounded to the nearest 1000000?
-2000000
Suppose 0 = -n + 2. Let j = -7084 + 12544. Suppose -j = 3*y - n*f, 2*f - 3453 = 4*y + 3827. What is y rounded to the nearest one hundred?
-1800
Let d = -711.8599955741 - -711.86. Round d to seven decimal places.
0.0000044
Let m = -16.46 + 16.29591. Let r = 0.67172 + m. Let s = r - 0.505. Round s to three decimal places.
0.003
Let m(y) = y**3 + 67*y**2 - 18*y - 61. Let t be m(-83). Let z be (-9)/(-12) - (-282361)/4. Let l = z + t. Round l to the nearest ten thousand.
-40000
Let v be -13723047*1/6*22. Let h = 16147839 + v. Round h to the nearest 1000000.
-34000000
Let u be 29 - (-2 + (-4)/(-4)). Suppose u*v = 31*v - 79. Round v to the nearest ten.
80
Let m = 3877.2 + -3987. Round m to the nearest ten.
-110
Let v = 8117.34998 + -8117. Round v to three decimal places.
0.35
Suppose 369*x = 341*x + 2500372. What is x rounded to the nearest ten thousand?
90000
Let o = 0.75203 - 0.05213. What is o rounded to two decimal places?
0.7
Suppose 3*z - 651 = -4*y + 6*y, 2*y = -4*z + 854. Suppose 4*j + 0*j | {
"pile_set_name": "DM Mathematics"
} |
9 - 2*f**4 - 3*f**2 + 4 to l*f**2 + x + g*f**4 + z*f + m*f**3 and give l.
-3
Express -15*l**2 - 22*l**2 - 19*l**2 as i*l + d*l**2 + v and give d.
-56
Rearrange -37*a**4 + 2 + a**2 - 30*a**4 + 69*a**4 + 4*a**3 to the form c*a**3 + y*a**4 + i + s*a**2 + t*a and give i.
2
Rearrange (s + 3*s - 3*s + (-4*s + 3*s - s)*(0 + 3 - 2) + 5*s - s - 2*s)*(7 + 2 - 6) to r*s + z and give r.
3
Express 10*r**2 - 3*r**2 - 8*r**2 + (0*r - 6*r + r)*(-6 + 3*r + 6) + (4*r - r - 2*r)*(0 + 2*r + 0) in the form n*r + s*r**2 + y and give s.
-14
Rearrange 97*m + 51*m + 9*m to the form s*m + i and give s.
157
Express 2*c**2 - 80*c**2 + 188*c**2 in the form s + d*c + a*c**2 and give a.
110
Express 2*q**2 - 9 + 2*q**4 - q**2 - 8 + 2*q + 2*q**3 + 13 in the form t*q**2 + f + h*q**4 + r*q**3 + g*q and give t.
1
Rearrange w**4 - 567 - 24*w + 564 + 0*w**4 to the form g*w + c*w**3 + t*w**2 + o*w**4 + s and give s.
-3
Rearrange (-3*w + 2*w - w)*(4 - 1 - 2) - 2*w + 27*w - 15*w to the form l + b*w and give b.
8
Express 1 + 16*o - 18*o - 1 in the form r*o + h and give r.
-2
Express -89*m - 97*m + 194*m as h*m + p and give h.
8
Rearrange -2*o**2 + 2 - 2 - o - 2*o**2 + o + (1 - 1 + 2*o**2)*(1 - 5 + 1) - 8 + 8 + 12*o**2 to v*o + c*o**2 + j and give c.
2
Rearrange -36*p**2 + 58*p**2 + 68*p**2 + 4*p**2 to z*p**2 + x + o*p and give z.
94
Express (2 - 2 + 2)*(1 - x - 1)*(-40*x - 2*x + 14*x) in the form o*x + a + k*x**2 and give k.
56
Rearrange -6*h + 6*h - 13*h to the form o + u*h and give u.
-13
Rearrange (-15*g - 23*g + 17*g)*(1 - 2*g - 1 + (0*g - g + 2*g)*(2 + 1 - 1) + 3*g + 2 - 2) to m + f*g + y*g**2 and give y.
-63
Express 15*p**2 + 22*p**2 + 177 - 177 as f*p + o + h*p**2 and give h.
37
Express (0*m**3 + 0*m**3 + 2*m**3)*(0 + 4 - 3) + 0*m**3 - 2*m**3 + m**3 - 50 + 50 + 37*m**3 as k*m**3 + q*m + d*m**2 + t and give k.
38
Express -5*y + 0*y - 6*y - 8*y in the form g + q*y and give q.
-19
Express 4 - p - 7 + 11 - p + 2*p + 0*p + (2*p - 3*p + 0*p)*(0 - 2 + 1) in the form a + q*p and give q.
1
Express (-2 - 1 + 2)*(-59 + 26 - 44)*(5 - 2*q - 5)*(2*q - 5*q + q) in the form n*q + d*q**2 + g and give d.
308
Express m**3 + 3 + 4*m**3 - 45*m + 2*m**2 + 43*m as i*m**2 + g*m + w + d*m**3 and give i.
2
Express -2*l**3 - 2 + 0*l**3 + 0*l**3 - l + 0 as p + w*l + j*l**2 + h*l**3 and give p.
-2
Express t**2 + 3*t**3 + 6*t**3 - 3*t**3 + 2*t**3 in the form u*t + a*t**3 + h + l*t**2 and give l.
1
Express 12*n**2 + 8*n**2 - 2*n**3 - 22*n**2 + 3*n**3 - 1 as s + j*n + m*n**3 + z*n**2 and give z.
-2
Express -d + 2*d**2 - 19*d**2 + d in the form c*d + s*d**2 + w and give s.
-17
Express (-2 - 11*h**2 - 13*h**3 - 19*h**2 + 14*h**3)*(4 - 2 - 8) as z*h + n + l*h**2 + d*h**3 and give n.
12
Express -k + 17*k**2 + k - 23*k**2 in the form h*k**2 + t + x*k and give h.
-6
Express (0*u + 6*u + 4*u)*((1 + 0 - 2)*(0 + 0 + u) + 5*u - 4*u - 2*u) + 1 - u**2 - 1 in the form h*u**2 + a*u + i and give a.
0
Express (4*t - 3 - 2 + 3)*(0*t + t - 4*t) in the form n*t**2 + h*t + j and give n.
-12
Express 4*y - 5*y - 4*y in the form a + z*y and give z.
-5
Rearrange (f**2 + f**2 - 3*f**2)*(-4 - 13 + 23) + 3*f**2 + 0*f**2 - f**2 to the form u*f**2 + b + r*f and give u.
-4
Rearrange 2 + 0 + 107*b**3 - 109*b**3 to j*b**3 + d*b + z*b**2 + o and give o.
2
Rearrange 4*x**2 + x**2 - 3*x**2 to r + t*x + j*x**2 and give j.
2
Express -1 - 17*w**4 + 8*w**4 - 1 + 1 + w**2 as k*w + h*w**4 + z + o*w**3 + y*w**2 and give h.
-9
Express 0*d**3 - 2*d - d + 5*d - 2*d**3 - 2*d**2 in the form h*d + y*d**2 + s*d**3 + z and give h.
2
Rearrange -4 + 25*f - f**4 + 2*f**3 - 42*f + 18*f to the form h*f**4 + x + y*f**2 + g*f**3 + b*f and give x.
-4
Rearrange (0*l - 3*l + 2*l)*(-1 + 1 - 10*l)*(-2*l + 2*l - l) to the form z + d*l**2 + g*l + b*l**3 and give b.
-10
Rearrange -2*c**3 - 9*c**3 - 2*c - 3*c + 2*c to the form h*c**2 + j*c + z*c**3 + b and give z.
-11
Rearrange -7*m**2 + 3*m**2 + m**2 + 6 + 6*m**2 to o*m**2 + l + i*m and give o.
3
Express -4*w**2 - 6 + 0 - w**2 as x*w**2 + k + r*w and give x.
-5
Express (t - 2*t**2 - 2*t + 0*t**2)*(-47*t - t - 119*t)*(2 + 0 - 1) in the form g + d*t**3 + l*t + p*t**2 and give p.
167
Express (-8*r + r - 8*r)*(-11 + 11 + 12)*(-1 - 2 + 5) as t + w*r and give w.
-360
Express 16*z - 42*z - 19*z + (0*z + 0*z + z)*(-2 - 1 + 2) as k*z + r and give k.
-46
Rearrange (-10*y**3 - 102*y + 102*y)*(-y - 1 + 1) to d + s*y**4 + m*y + g*y**2 + a*y**3 and give s.
10
Express (0*f**2 + f**2 + 0*f**2)*(1 + 2 + 0*f - 7*f) in the form t*f + v*f**3 + m*f**2 + p and give m.
3
Express -14*p - 19*p - 2 + 36*p in the form z*p + f and give z.
3
Express 49*y**2 + 1107*y - 1107*y + (y - y - y)*(-y + 0*y + 0*y) in the form c*y**2 + r*y + u and give r.
0
Express -r**2 + 9*r**2 - 5*r**3 + 3*r**3 + 0*r**3 as u + s*r + h*r**3 + j*r**2 and give j.
8
Express (2*c + 2*c - 7*c)*(7*c - c + 3*c) + (-5*c + 5*c + c)*(-2 + 2*c + 2) - c + 2*c**2 + c - 5*c + 2*c**2 + 5*c as q + w*c**2 + k*c and give w.
-21
Rearrange (2*r + 4*r - 4*r)*((-3*r + 3*r - 2*r)*(2 + 2 - 2) + (r + 5*r + 2*r)*(-2 - 2 + 5)) to the form o*r**2 + z + s*r and give o.
8
Express -3*h**2 - 3*h**2 + 0*h**2 + 2*h**2 as g*h + c*h**2 + k and give c.
-4
Rearrange (0 + 0 - 4)*(k + 0*k + k + (-6*k + k + 3*k)*(0 + 1 - 2) - 1 - 3*k + 1) to the form o*k + t and give o.
-4
Rearrange -4*s + 19 + s - s - 23 to f + l*s and give f.
-4
Rearrange -13*x + 0*x + 3*x**2 - 4*x**2 to the form f + w*x**2 + v*x and give w.
-1
Rearrange 9*s**4 - 8*s**4 + 1 - 8*s**3 + s + 5*s**3 to n*s**2 + j*s + z*s**3 + i*s**4 + x and give x.
1
Rearrange -42*n**2 - 31*n**2 + 77*n**2 - 24*n to the form j*n**2 + d + y*n and give j.
4
Express (-4 + 0 + 2)*(-4*i + 4*i - 2*i + (-5*i + 0*i + 6*i)*(2 + 2 - 2) + i + 3 - 3 + 0 - 2*i + 0) in the form d*i + v and give v.
0
Rearrange 2*n + n**2 + 3 - 6 + 3 to g*n**2 + l + h*n and give l.
0
Rearrange (4*s + s - 3*s)*(-s**3 + 0*s**3 - s**3) + (s**3 + s**3 - 3*s**3)*(0*s + 31*s + 20*s) to c*s**2 + i*s**4 + n + p*s**3 + y*s and give i.
-55
Express (13*z**2 - 13*z**2 + 4*z**3)*(6 + z - 6) - 4*z**3 + 4*z**3 - 2*z**4 + (z**4 - 1 + 6 - 3)*(0 - 4 + 6) as t*z + s*z**4 + g*z**2 + q*z**3 + k and give s.
4
Express (2*a - a - 3*a)*(6*a + 4*a - 4*a)*(-2 - 3 + 3) in the form g + s*a + x*a**2 and give x.
24
Express 126 - 126 + 8*u**2 as s*u**2 + w*u + f and give s.
8
Express 2 + 5 - 2*f**2 - 4 - 1 + f**3 + 5*f in the form y*f**3 + o*f**2 + p + c*f and give p.
2
Express -p**2 - 2*p + p**2 + p**2 in the form w*p**2 + r + a*p and give w.
1
Express (-c**2 + 5*c - 5*c)*(2*c - 4*c + 6*c) + 5*c**2 - 2*c**3 - 5*c**2 in the form l*c**2 + i*c + m + h*c**3 and give h.
-6
Rearrange 4 + 2*a**4 + a**3 + 3*a - 4 - 3 + 0*a**4 to the form q*a**4 + i*a**3 + c*a + d*a**2 + l and give c.
3
Express (-9*h - 25*h + 14*h)*(0*h**3 + 0*h**3 - 2*h**3) in the form l + q*h**2 + m*h + p*h**4 + z*h**3 and give p.
40
Rearrange (-3 + 1 + 624*d - 574*d)*(-2*d + 0 + 0) to the form k*d**2 + b*d + q and give k.
-100
Express (1 - 5 + 0)*(-4*g**3 - 5*g**4 + 4*g**3) in the form h + w*g**2 + d*g**3 + i*g + t*g**4 and give t.
20
Express (4*v - 3*v + 0*v)*(-12*v - 18*v + 16*v) as m + d*v**2 + i*v and give d.
-14
Rearrange -5*h**3 - 6 + 4*h**3 - h**3 + 2*h to the form k*h + s + a*h**3 + w*h**2 and give a.
-2
Express (3 + y**2 - 3)*(11 - 10 + 7) in the form d + h*y**2 + f*y and give h.
8
Express (-16 - 14 + 9)*(-2 + 3 - 4)*(-u**3 + 1 - 1) in the form b*u + z*u**3 + w + s*u**2 and give z.
-63
Rearrange 2*o**2 + 0 - 2 + 4*o**4 - 13*o**4 to the form q*o**3 + x*o + b + c*o**4 + m*o**2 and give b.
-2
Rearrange 8*i**2 + 2*i + 5*i**3 - 7*i**2 - i to the form t*i**2 + h*i + g*i**3 + v and give t.
1
Rearrange (4 - 6 + 3)*(-4 + 2 + 4)*(-2*m**2 + 0 + 0) to the form g + l*m + t*m**2 and give t.
-4
Express (-42*n + 26*n - 64*n)*(-3*n**3 + 5*n**3 + 0*n**3) in the form o*n**3 + j + v*n**4 + a*n + g*n**2 and give v.
-160
Express c**2 - 2 + 2 + 2*c**2 in the form i*c**2 + a + x*c and give i.
3
Express (3 + 0 + 3)*(-4 + 2*p**2 + 4) + 1 - 1 + p**2 in the form y + q*p + d*p**2 and give d.
13
Rearrange 3 - 2 - 2 + i**2 to q*i + v*i**2 + z and give v.
1
Rearrange -3*r**2 + 4*r**3 + 5*r**2 + 3*r - 3*r - 3*r to the form b*r**2 + z + t*r**3 + c*r and give c.
-3
Rearrange 2 + 2*x**2 - x**2 - 4 + 5*x**2 to the form m*x + f + l*x**2 and give l.
6
Rearrange -4*w**2 + 3 - 5 + 15*w**2 + 0 to o | {
"pile_set_name": "DM Mathematics"
} |
remainder when 153 is divided by 5.
3
What is the remainder when 762 is divided by 707?
55
Calculate the remainder when 298 is divided by 18.
10
Calculate the remainder when 3080 is divided by 257.
253
Calculate the remainder when 609 is divided by 10.
9
What is the remainder when 178 is divided by 46?
40
What is the remainder when 186 is divided by 21?
18
What is the remainder when 135 is divided by 37?
24
Calculate the remainder when 9844 is divided by 159.
145
What is the remainder when 1961 is divided by 27?
17
Calculate the remainder when 151 is divided by 17.
15
What is the remainder when 119 is divided by 20?
19
Calculate the remainder when 110 is divided by 39.
32
What is the remainder when 250 is divided by 29?
18
What is the remainder when 477 is divided by 4?
1
What is the remainder when 105 is divided by 66?
39
What is the remainder when 626 is divided by 198?
32
Calculate the remainder when 896 is divided by 69.
68
Calculate the remainder when 245 is divided by 41.
40
What is the remainder when 4295 is divided by 12?
11
Calculate the remainder when 54 is divided by 45.
9
Calculate the remainder when 349 is divided by 87.
1
Calculate the remainder when 850 is divided by 169.
5
Calculate the remainder when 666 is divided by 33.
6
What is the remainder when 1017 is divided by 14?
9
What is the remainder when 201 is divided by 102?
99
Calculate the remainder when 240 is divided by 72.
24
What is the remainder when 335 is divided by 147?
41
What is the remainder when 1053 is divided by 348?
9
What is the remainder when 338 is divided by 89?
71
What is the remainder when 2903 is divided by 94?
83
Calculate the remainder when 1652 is divided by 87.
86
What is the remainder when 8160 is divided by 22?
20
Calculate the remainder when 370 is divided by 126.
118
Calculate the remainder when 160 is divided by 36.
16
What is the remainder when 4415 is divided by 96?
95
What is the remainder when 121 is divided by 16?
9
What is the remainder when 1205 is divided by 71?
69
Calculate the remainder when 259 is divided by 90.
79
Calculate the remainder when 591 is divided by 27.
24
Calculate the remainder when 329 is divided by 183.
146
Calculate the remainder when 179 is divided by 171.
8
What is the remainder when 588 is divided by 329?
259
Calculate the remainder when 500 is divided by 62.
4
Calculate the remainder when 1377 is divided by 230.
227
Calculate the remainder when 401 is divided by 82.
73
What is the remainder when 1631 is divided by 508?
107
Calculate the remainder when 4120 is divided by 344.
336
Calculate the remainder when 350 is divided by 109.
23
What is the remainder when 57 is divided by 49?
8
Calculate the remainder when 909 is divided by 152.
149
Calculate the remainder when 1038 is divided by 95.
88
Calculate the remainder when 1402 is divided by 377.
271
What is the remainder when 43 is divided by 31?
12
What is the remainder when 1645 is divided by 277?
260
Calculate the remainder when 1050 is divided by 31.
27
Calculate the remainder when 21 is divided by 5.
1
Calculate the remainder when 413 is divided by 141.
131
What is the remainder when 174 is divided by 16?
14
Calculate the remainder when 221 is divided by 74.
73
What is the remainder when 328 is divided by 37?
32
Calculate the remainder when 38 is divided by 20.
18
What is the remainder when 10085 is divided by 104?
101
What is the remainder when 48 is divided by 13?
9
What is the remainder when 352 is divided by 124?
104
Calculate the remainder when 541 is divided by 16.
13
Calculate the remainder when 381 is divided by 105.
66
Calculate the remainder when 298 is divided by 6.
4
Calculate the remainder when 698 is divided by 192.
122
What is the remainder when 207 is divided by 13?
12
Calculate the remainder when 2669 is divided by 15.
14
What is the remainder when 118 is divided by 64?
54
What is the remainder when 693 is divided by 24?
21
What is the remainder when 28157 is divided by 19?
18
Calculate the remainder when 419 is divided by 70.
69
What is the remainder when 333 is divided by 40?
13
Calculate the remainder when 383 is divided by 21.
5
Calculate the remainder when 130 is divided by 9.
4
What is the remainder when 660 is divided by 177?
129
What is the remainder when 284 is divided by 25?
9
Calculate the remainder when 28 is divided by 5.
3
What is the remainder when 642 is divided by 23?
21
What is the remainder when 1589 is divided by 311?
34
What is the remainder when 518 is divided by 29?
25
What is the remainder when 9103 is divided by 253?
248
Calculate the remainder when 240 is divided by 54.
24
What is the remainder when 803 is divided by 195?
23
What is the remainder when 4941 is divided by 112?
13
Calculate the remainder when 295 is divided by 74.
73
What is the remainder when 360 is divided by 119?
3
What is the remainder when 629 is divided by 21?
20
Calculate the remainder when 151 is divided by 67.
17
Calculate the remainder when 955 is divided by 8.
3
What is the remainder when 162 is divided by 68?
26
What is the remainder when 13346 is divided by 142?
140
Calculate the remainder when 105 is divided by 30.
15
Calculate the remainder when 203 is divided by 3.
2
What is the remainder when 347 is divided by 22?
17
Calculate the remainder when 131 is divided by 79.
52
What is the remainder when 467 is divided by 39?
38
Calculate the remainder when 101 is divided by 18.
11
Calculate the remainder when 160 is divided by 54.
52
Calculate the remainder when 143 is divided by 12.
11
What is the remainder when 1961 is divided by 67?
18
Calculate the remainder when 343 is divided by 8.
7
What is the remainder when 1431 is divided by 356?
7
Calculate the remainder when 288 is divided by 36.
0
Calculate the remainder when 6549 is divided by 10.
9
Calculate the remainder when 1679 is divided by 60.
59
Calculate the remainder when 89 is divided by 53.
36
What is the remainder when 463 is divided by 47?
40
What is the remainder when 125 is divided by 38?
11
Calculate the remainder when 132 is divided by 39.
15
What is the remainder when 246 is divided by 31?
29
Calculate the remainder when 1415 is divided by 89.
80
Calculate the remainder when 165 is divided by 67.
31
What is the remainder when 287 is divided by 68?
15
What is the remainder when 1462 is divided by 131?
21
Calculate the remainder when 1165 is divided by 187.
43
What is the remainder when 681 is divided by 76?
73
What is the remainder when 134 is divided by 17?
15
What is the remainder when 122 is divided by 31?
29
What is the remainder when 1196 is divided by 577?
42
Calculate the remainder when 18 is divided by 9.
0
Calculate the remainder when 828 is divided by 165.
3
What is the remainder when 4017 is divided by 41?
40
What is the remainder when 1225 is divided by 602?
21
What is the remainder when 49 is divided by 25?
24
What is the remainder when 12501 is divided by 7?
6
Calculate the remainder when 742 is divided by 8.
6
Calculate the remainder when 838 is divided by 15.
13
Calculate the remainder when 79 is divided by 28.
23
What is the remainder when 1347 is divided by 25?
22
What is the remainder when 982 is divided by 22?
14
What is the remainder when 571 is divided by 88?
43
What is the remainder when 316 is divided by 29?
26
Calculate the remainder when 113 is divided by 30.
23
What is the remainder when 124 is divided by 13?
7
Calculate the remainder when 1053 is divided by 350.
3
What is the remainder when 755 is divided by 27?
26
Calculate the remainder when 94 is divided by 24.
22
Calculate the remainder when 464 is divided by 12.
8
What is the remainder when 1059 is divided by 14?
9
What is the remainder when 658 is divided by 129?
13
What is the remainder when 5612 is divided by 13?
9
Calculate the remainder when 367 is divided by 47.
38
What is the remainder when 474 is divided by 99?
78
What is the remainder when 197 is divided by 40?
37
What is the remainder when 46 is divided by 4?
2
Calculate the remainder when 150 is divided by 17.
14
Calculate the remainder when 222 is divided by 87.
48
Calculate the remainder when 1529 is divided by 51.
50
What is the remainder when 390 is divided by 211?
179
Calculate the remainder when 942 is divided by 41.
40
Calcula | {
"pile_set_name": "DM Mathematics"
} |
r.
5, s, -2, -4
Let r = 69/2 - 378/11. Sort 4, r, -4.
-4, r, 4
Suppose -5*r + 8 = -r. Let a be r/3*(-1)/2. Let x = 4 + -9. Sort 1/5, x, a in decreasing order.
1/5, a, x
Let h be (-14)/10 - 3/5. Sort h, 5, 7, -1 in descending order.
7, 5, -1, h
Let z(a) = -a**3 - 10*a**2 - a - 10. Let n be z(-10). Put 5, -3, n in ascending order.
-3, n, 5
Let h = -0.3 - -4.3. Let y = h - 3. Let d = 1125 + -10127/9. Sort y, d, 1/2 in increasing order.
d, 1/2, y
Let i(v) = -2*v - 3. Let k be i(4). Let s be (-4)/16 + k/20. Let c = 6 - 1. Sort c, -3, s.
-3, s, c
Let h = -162.02 - -160. Let p = h - -2. Sort 3/7, p, -2 in increasing order.
-2, p, 3/7
Suppose -8*c + 3*c = 0. Sort 1, 5, c in ascending order.
c, 1, 5
Suppose 2*v + 8 = -2. Suppose h + 3*y = -2*h - 3, -4*y - 12 = 0. Let u be (9/21)/(h/(-7)). Put v, u, 2/3 in increasing order.
v, u, 2/3
Let o = -1 - -2. Let x = -0.1 - 2.9. Let v = o - x. Sort 0, v, 3/7 in decreasing order.
v, 3/7, 0
Let j(q) = -q**2 - 11*q - 8. Let o be j(-10). Let n be 2/o + -3 + 3. Sort -0.1, n, 3 in ascending order.
-0.1, n, 3
Suppose -h + 11 = 4*k, 3*k - 3*h + 0 = -3. Let g(s) = 2*s - 4*s + s + 2*s**3. Let b be g(1). Sort k, -4, b.
-4, b, k
Let c = -0.066 + -8.934. Sort c, 3/2, -4, -3/5.
c, -4, -3/5, 3/2
Let p be 296/420 - 8/60. Sort p, 0, -5.
-5, 0, p
Let c(f) = -f**2 + 7*f + 3. Let h be c(7). Sort -4, -2, h in descending order.
h, -2, -4
Let i = -22.6 + 23. Put i, 0.02, 1 in descending order.
1, i, 0.02
Let o = 1.72 + 3.2. Let a = o + 0.08. Put -2/7, a, 2 in ascending order.
-2/7, 2, a
Suppose 2*p + 3*y + 1 = 0, -p + 6*p = 4*y - 37. Sort p, 5, -2 in increasing order.
p, -2, 5
Let w = -218 + 215. Sort -12, -4, -5, w.
-12, -5, -4, w
Let b be (8/(-16))/(2/4). Let m(o) = 3*o + 1. Let j be m(-3). Let a = 12 + j. Sort a, b, -2 in decreasing order.
a, b, -2
Let o = -2.8 - -7.8. Let a = 4.6 - 5. Sort o, 0.1, a in increasing order.
a, 0.1, o
Let d = -31/48 + -1/48. Put d, 0.5, 1 in increasing order.
d, 0.5, 1
Let h = -75 + 77. Let g = -1.97 + -0.03. Put g, -3, h in decreasing order.
h, g, -3
Suppose -6*h + 9 = 27. Put h, 3, 0 in decreasing order.
3, 0, h
Let s = 20 + -19.7. Put -5, 3/2, s in decreasing order.
3/2, s, -5
Let a be (2/(-3))/((-2)/9). Suppose -6 = -2*i + 4. Suppose -a*c - i*t - 7 = 0, c - t = 1 - 6. Put 4, c, 3 in decreasing order.
4, 3, c
Let z be 1 + 22/(-12) + 1. Let b = 57.3 + -44. Let o = b - 13. Sort o, z, -2/7.
-2/7, z, o
Let w = -0.14 - 0.06. Let s = 1 + 3. Sort s, w, 0.1.
w, 0.1, s
Let f = 340 - 325.3. Let t = f + -15. Sort 0, -0.5, t in increasing order.
-0.5, t, 0
Let u(o) = -2*o**2 + 9*o. Let p be u(5). Sort p, 5, -3, 4 in increasing order.
p, -3, 4, 5
Let d(g) = g - 3. Let q be d(4). Sort q, 0, -5.
-5, 0, q
Let p = 61/92 + 2/23. Let v = -33 + 33.5. Let l = -9 + 13. Sort v, p, l in descending order.
l, p, v
Let s = -16 + 39. Let w = s - 93/4. Put -0.4, w, 0.4 in ascending order.
-0.4, w, 0.4
Let w(j) = -j + 6. Let p be w(8). Suppose -5 + 2 = -n. Let o be 5 + 2/2 + -2. Sort p, o, n in descending order.
o, n, p
Suppose o - 4 = 0, 3*z + o + 1 = -4. Let q be (-6)/2 - (-17 + 9). Sort 0, q, z in decreasing order.
q, 0, z
Let d = -74 - -75. Put 5, -4/7, d, -3 in descending order.
5, d, -4/7, -3
Let u = 0.22 - -0.08. Let a = 211685/33 - 6416. Let z = a + 18/11. Put z, 1/4, u in descending order.
z, u, 1/4
Let o = -2 - -5. Let g = 3990 - 19507/5. Let m = g + -89. Sort m, 0.5, o in decreasing order.
o, 0.5, m
Let h = -4 + 9. Put h, -3/8, 3/4 in decreasing order.
h, 3/4, -3/8
Let p = -113.9 - -114. Let n be (0 + (-1)/(-11))*2. Sort -2, n, p.
-2, p, n
Let l(t) = -t**2 + 5*t + 6. Let b be l(6). Suppose -6 = -b*c + 2*c. Put c, 5, -5/4 in descending order.
5, -5/4, c
Suppose -2*z - p = -8, 6*p = 5*z + 3*p - 42. Let a(g) = -g + 4. Let b be a(z). Suppose 0*l + j = -2*l - 6, -2*l - 5*j - 22 = 0. Sort 5, b, l in ascending order.
b, l, 5
Let t be -10*(-4 + 17/5). Let n be ((-12)/14)/(t/3). Put -2, -1/4, n in descending order.
-1/4, n, -2
Suppose 6 - 1 = -f. Let u(g) = -g**2 - 8*g - 7. Let l be u(-6). Suppose -5*v + m + 4*m = 20, -2*m = -4. Put f, l, v in increasing order.
f, v, l
Suppose -2*x + 15 = -5*d, -5*d + 12 = -2*d + 3*x. Let v = 10 + -10.11. Let q = 0.29 - v. Sort q, d, 0.5.
d, q, 0.5
Let y = -177 - -353/2. Put 15, y, 0.1, 0.4 in decreasing order.
15, 0.4, 0.1, y
Let n = -6 + 5. Let w = -4 - n. Sort 4, 0, w in decreasing order.
4, 0, w
Let x be (-78)/((-4)/2)*-21. Let g be 1734/x + 1 + 1. Let h = -1/39 + g. Sort -0.1, h, 3 in increasing order.
h, -0.1, 3
Let u = 11 + -10.56. Let v = u + -0.04. Let w be 2/(-5) + (-154)/(-35). Put -3/8, v, w in increasing order.
-3/8, v, w
Let x be 6/(-9)*6/4. Sort 3, x, -5 in ascending order.
-5, x, 3
Let g be (2/4)/(20/24). Sort -3/2, -2, g in decreasing order.
g, -3/2, -2
Suppose 4*p - 10 = 110. Let f be (-2)/6*(-20)/p. Sort f, 2/5, -0.2 in increasing order.
-0.2, f, 2/5
Let z be 10/(-2) - (0 + -1). Suppose -2*c = 4*r + 16, 2*r - 2*c - c - 8 = 0. Sort r, -3, z.
z, -3, r
Let y be -5 - (12/(-3) + 2). Let c = -0.42 - -0.12. Put y, -2, c in decreasing order.
c, -2, y
Suppose -3*w = j - 13, -2*w = -j + 2*j - 10. Let s be (-174)/(-54) + j/(-18). Sort 1, -8, s in ascending order.
-8, 1, s
Suppose -2*w = 4*n - 40, -10 = -2*n - 3*n. Suppose 4*a = -0*a + w. Suppose 4*k + 0*y = 5*y - 3, -y - 11 = 5*k. Put a, -3, k in decreasing order.
a, k, -3
Let y = 1 - -9. Let f = -14 + y. Let q(h) = -h - 3. Let j be q(f). Sort -1/2, -4/5, j in decreasing order.
j, -1/2, -4/5
Let f(p) = -2*p - 4 + 3*p - 2. Let c be f(7). Let i = -8.4 - -8.6. Sort c, i, 5.
i, c, 5
Let u = -80.47 + 80. Let h = u - 0.03. Let t = 0.4 + 3.6. Sort h, 3, t in increasing order.
h, 3, t
Suppose 5*h + 12 = a - 8, 0 = -a + 5. Let l(o) = -o**2 - 4*o - 2. Let p be l(h). Let y = 2 - p. Sort y, -2/13, 0.1 in decreasing order.
y, 0.1, -2/13
Let x = 247/4 - 62. Let b = 59.69 + -60. Let s = -0.09 + b. Sort x, s, 2/5 in ascending order.
s, x, 2/5
Let o = 15 + -14. Suppose -4 = m, -2*g + 0*m = -m - 44. Suppose -3*w - 35 + 16 = 4*x, -5*x = 3*w + g. Sort 5, w, o in descending order.
5, o, w
Let i be (-2)/8 - (-3)/(-4). Let x be -5 - (-4 - -8 - 4). Sort i, x, 5 in descending order.
5, i, x
Suppose -5*x + 7*r = 2*r, 4*x = 5*r. Put x, 2, -1 in descending order.
2, x, -1
Let r = -1/165 + 502/1155. Sort r, 2/11, 0.2.
2/11, 0.2, r
Suppose -5*d = -13 - 2. Sort d, -3, -0.3, 1 in decreasing order.
d, 1, -0.3, -3
Let x be -2 - ((-140)/(-290))/((-1)/4). Let o = -7 + 2. Sort x, 1/4, o in descending order.
1/4, x, o
Let a be ((-155)/3)/(2/6). Let w be a/(-15)*42/40. Let n = -45/4 + w. Sort n, -2, 2/3 in descending order.
2/3, n, -2
Let k = -4 + 5. Suppose -2 = 3*h + 4. Let l be 2*h/((-32)/3). Put l, k, -1/2 in decreasing order.
k, l, -1/2
Let y be ((-6)/(-44))/((-6)/8). Sort -3, y, 0.2 in ascending order.
-3, y, 0.2
Let w be ((-1)/(-4))/((-6)/8). Let j(x) = x**2 + 3*x - 6. Let n be j(-5). Sort n, -4/7, w in decreasing order.
n, w, -4/7
Suppose 16*x = 15*x + 2. Sort -0.2, -1/3, x, 5 in increasing order.
-1/3, -0.2, x, 5
Let u = 12 - 13. Let r = 6 + -10. Sort r, u, 0 in descending order.
0, u, r
Let j = -15/14 - -103/70. Let v = -0.011 - 3.989. Sort -2, v, j in ascending order.
v, -2, j
Let f = -0.1 - -0.06. Let u = f + 5.04. Sort 1/4, 0.5, u.
1/4, 0.5, u
Let q(t) = -t + 8. Let y be q(6). Let x be 106/22 + 16/88. Sort 4, y, x in descending order.
x, 4, y
Suppose 9 = g - 3. Let a be g/21*(-21)/6. Put 1, 5, a in descending order.
5, 1, a
Let f = 25 - 23. Put f, 1/10, 13 in decreasing order.
13, f, 1/10
Let h = 35 + -38. Sort h, -7, 0, -4 in ascending order.
-7, -4, h, 0
Suppose 0 = m + 1 - 2, 0 = -4*x - 4*m - 80. Let a = x + 17. Suppose -z = 5*l - 5*z - 16, 15 = 3*l + 3*z. Sort l, a, -1 in increasing order.
a, -1, l
Let m(u) be the first derivative of u**4/4 + 7*u**3/3 + 7*u**2/2 + 2*u + 2. Let o be m(-6). Let v = -3 - o. Sort -1, v, 3 in descending order.
3, v, -1
Suppose -3*o - 12 - 12 = 0. Put 5, o, 2, 4 in decreasing order.
5, 4, 2, o
Let k be (-8)/(-36)*1 - 44/(-45). Put -5, k, -0.7 in increasing order.
-5, -0.7, k
Let y(l) = -l + 2. Let p be y(-4). Let h = p - 3. Suppose t = 2*v + h*v - 5, 5*t = 4*v - 25. Sort -2, v, -4.
-4, -2, v
Let g = -2.08 - -2. Let l = 0.38 + g. Let i = -0.1 - l. Put i, 0.3, -0.2 in descending order.
0.3, -0.2, i
Let f = 0.08 + 27.92. Let c | {
"pile_set_name": "DM Mathematics"
} |
t is 4 + 53?
57
In base 11, what is 21 - -10?
31
In base 9, what is 27 - 0?
27
In base 9, what is -1 + -7323?
-7324
In base 4, what is -130 - -332?
202
In base 6, what is 1 - -3042?
3043
In base 6, what is 1 + 320?
321
In base 6, what is -55403 + 4?
-55355
In base 9, what is 817 + -4?
813
In base 8, what is 71 - -35?
126
In base 12, what is 4 + -1a?
-16
In base 14, what is -79 + -2?
-7b
In base 16, what is 85 - -a?
8f
In base 11, what is 5 - a85?
-a80
In base 3, what is -122112 + -12?
-122201
In base 13, what is -68c - 1?
-690
In base 8, what is -1 - 314?
-315
In base 3, what is -110022 - 2202?
-120001
In base 8, what is 24 + 23?
47
In base 14, what is -22 - 1d?
-41
In base 12, what is 9 + -198?
-18b
In base 5, what is 141 + -13?
123
In base 2, what is -111 - 1?
-1000
In base 15, what is 5 - -3?
8
In base 6, what is -11433 - -4?
-11425
In base 10, what is 2586 - 4?
2582
In base 13, what is b26 - 2?
b24
In base 7, what is 2403 - -6?
2412
In base 2, what is 10010101110 + -100?
10010101010
In base 6, what is 4 + 1132?
1140
In base 14, what is -9 - -11a?
111
In base 4, what is -2 + -1301002?
-1301010
In base 11, what is 16 + -2?
14
In base 7, what is -13315 + 6?
-13306
In base 15, what is a1 - -c?
ad
In base 15, what is 76 + c2?
148
In base 2, what is 100 + -1011100?
-1011000
In base 4, what is -2 + 22102?
22100
In base 8, what is -20 + 36?
16
In base 6, what is 12551 + 5?
13000
In base 15, what is a - 6?
4
In base 8, what is -14 - 13?
-27
In base 7, what is -42 + -1?
-43
In base 15, what is -4 - 175e?
-1763
In base 14, what is 1 + c?
d
In base 9, what is 246 + 1?
247
In base 16, what is -8d - -14?
-79
In base 11, what is -29 - -7?
-22
In base 13, what is -93a + -6?
-943
In base 3, what is -22 + 1020011?
1012212
In base 3, what is -10 - 21?
-101
In base 10, what is -46 + 8?
-38
In base 2, what is 0 + -101101010?
-101101010
In base 12, what is 9 - -33?
40
In base 16, what is -f17 + -3?
-f1a
In base 11, what is -1 - 39?
-3a
In base 5, what is -4 - 14?
-23
In base 14, what is 0 - 172?
-172
In base 13, what is -5b - -4?
-57
In base 10, what is 3 - 2060?
-2057
In base 4, what is 10 + -10321?
-10311
In base 13, what is 135 - 0?
135
In base 8, what is 6667 + 3?
6672
In base 11, what is -88 - 24?
-101
In base 3, what is 111 + 2?
120
In base 4, what is -32313 + -13?
-32332
In base 16, what is -2cb - 14?
-2df
In base 11, what is -4 + 374?
370
In base 11, what is 4 + -3a?
-36
In base 3, what is -2000112 + 10?
-2000102
In base 14, what is -16 - 29c?
-2b4
In base 9, what is 2 - 3461?
-3458
In base 16, what is 2 + 19c?
19e
In base 12, what is 3 - 847?
-844
In base 8, what is 4 + -4704?
-4700
In base 4, what is -313013 - 3?
-313022
In base 16, what is 4 + 320?
324
In base 10, what is 48 - 84?
-36
In base 15, what is -8c + 2?
-8a
In base 5, what is 12 + 2001?
2013
In base 9, what is 1 + 250?
251
In base 5, what is 204 - 4?
200
In base 14, what is 3c - 3?
39
In base 10, what is 57 + 10?
67
In base 7, what is 0 + 24514?
24514
In base 6, what is 1 + 33?
34
In base 2, what is 0 + 100001?
100001
In base 5, what is -21 - 20?
-41
In base 10, what is 86 - 0?
86
In base 8, what is -315 + -11?
-326
In base 11, what is 219 + -5?
214
In base 6, what is 40423 + -5?
40414
In base 16, what is d6 - 1?
d5
In base 13, what is 35 - c?
26
In base 5, what is 33 - -1004?
1042
In base 12, what is -1a7 - 1?
-1a8
In base 15, what is 37 + 1?
38
In base 5, what is -1 + 31?
30
In base 4, what is -11 - 1010?
-1021
In base 2, what is -1000 + -101111101?
-110000101
In base 12, what is 0 + 65?
65
In base 5, what is -114 + -4?
-123
In base 8, what is -25 - 21?
-46
In base 5, what is 3 + -200?
-142
In base 5, what is -114 - 21?
-140
In base 8, what is -2 + 41?
37
In base 4, what is -3 - -223?
220
In base 12, what is -5 - -61?
58
In base 4, what is 2012 + -212?
1200
In base 11, what is -5 + 66?
61
In base 15, what is 759 - -8?
762
In base 6, what is -32 - -250?
214
In base 12, what is 200b + 4?
2013
In base 4, what is -130 + 20?
-110
In base 4, what is 130 + -20?
110
In base 2, what is 10101101111000 + 100?
10101101111100
In base 12, what is b + -52?
-43
In base 7, what is -4 - -6?
2
In base 6, what is -102 + 31?
-31
In base 7, what is -5 - 51?
-56
In base 16, what is -58 + -d?
-65
In base 15, what is -9 + -492?
-49b
In base 16, what is 0 - fac?
-fac
In base 6, what is 13 + 5120?
5133
In base 15, what is 3 - 14b1?
-14ad
In base 6, what is -1 + 1333?
1332
In base 4, what is 2232 - 0?
2232
In base 10, what is -2 - 1214?
-1216
In base 10, what is -96 - 10?
-106
In base 8, what is 4 + -2?
2
In base 13, what is -1 - -51?
50
In base 9, what is -67 + -1?
-68
In base 2, what is 110 + 1010?
10000
In base 13, what is -4a - 4?
-51
In base 9, what is -14 - -24?
10
In base 13, what is -59 - 2?
-5b
In base 12, what is 3 + -23b?
-238
In base 15, what is -3 + -b0?
-b3
In base 9, what is -14 - -2?
-12
In base 10, what is -4 + -532?
-536
In base 15, what is -7 - 917?
-91e
In base 8, what is -14 - 26?
-42
In base 12, what is -5 - -28?
23
In base 7, what is 2 + -143?
-141
In base 9, what is -105 + -142?
-247
In base 6, what is -2024 + -154?
-2222
In base 15, what is -24 + 1?
-23
In base 10, what is 3 + 60?
63
In base 8, what is 5 + -2766?
-2761
In base 15, what is 18 - e?
9
In base 5, what is 11 + -13?
-2
In base 10, what is -148 + 3?
-145
In base 4, what is 1 - 3303?
-3302
In base 3, what is -1 + 1122?
1121
In base 12, what is 2 - 3?
-1
In base 9, what is 4 - 163?
-158
In base 16, what is 0 + -373?
-373
In base 16, what is 5 + 783?
788
In base 3, what is -1 + 1121?
1120
In base 2, what is -1011 - 10?
-1101
In base 10, what is -2 - 9427?
-9429
In base 11, what is -718 + 2?
-716
In base 6, what is 44 - -122?
210
In base 15, what is b + 66?
72
In base 14, what is 2 - -1a6?
1a8
In base 16, what is -4 - -14f3?
14ef
In base 14, what is -562 + 4?
-55c
In base 5, what is -312 - 11?
-323
In base 8, what is 166 + -3?
163
In base 12, what is 10b + 4?
113
In base 10, what is 1630 + -4?
1626
In base 9, what is 54 + 114?
168
In base 8, what is 37 - -122?
161
In base 6, what is 2 + 530?
532
In base 12, what is -2b1 - 3?
-2b4
In base 7, what is -43 - 3?
-46
In base 16, what is -2e + 3a?
c
In base 10, what is 2 + -155?
-153
In base 14, what is c39 + 4?
c3d
In base 4, what is -1032 + 20?
-1012
In base 4, what is -230 - 100?
-330
In base 15, what is 9234 - -1?
9235
In base 4, what is -1311 - 3?
-1320
In base 11, what is 606 + 3?
609
In base 5, what is 401 - 0?
401
In base 15, what is 594 - 10?
584
In base 12, what is -1b - -13?
-8
In base 5, what is 10 - 340?
-330
In base 10, what is -5591 + 6?
-5585
In base 6, what is 13 + 1014?
1031
In base 12, what is 4 + 6a?
72
In base 5, what is 0 + 2124?
2124
In base 13, what is 653 - -4?
657
In base 6, what is 2 + -140?
-134
In base 5, what is 1 - 310?
-304
In base 3, what is -121 + -1022?
-1220
In base 14, what is -13 - -14?
1
In base 15, what is -76 - -c?
-69
In base 12, what is 15 + 6?
1b
In base 3, what is -211120 + -2?
-211122
In base 15, what is e + 2d5?
2e4
In base 15, what is 7b - 9?
72
In base 3, what is 20 - 111002?
-110212
In base 3, what is 201 + -111?
20
In base 15, what is -34 + 6?
-2d
In base 15, what is -10e + -1?
-110
In base 16, what is -5 - -6?
1
In base 13, what is 9 - -48?
54
In base 16, what is 310e + -2?
310c
In base 14, what is -5 - -9a2?
99b
In base 2, what is -100000111011100 - -10?
-100000111011010
In base 11, what is -5 - -87?
82
In base 2, what is -10 - 1000110?
-1001000
In base 16, what is -5 - 14?
-19
In base 4, what is -102 + -1302?
-2010
In base 4, what is 1132 - 203?
323
In base 4, what is 2112 + 133?
2311
In base 11, what is -1 - 2a8?
-2a9
In base 15, what is 13 - 1?
12
In base 6, what is 0 - -201?
201
In base 12, what is 4 + -60?
-58
In base 4, what is -100 + 3222?
3122
In base 12, what is -2 + -a32?
-a34
In base 16, what is 3d + 5?
42
In base 12, what is -1 - -5?
4
In base 4, what is 11 + -11020?
-11003
In base 8, what is -6 + -57?
-65
In base 16, what is 3c + 6?
42
In base 13, what is 8b - 5?
86
In base 9, what is -637 + -5?
-643
In base 15, what is 5 - -10e?
114
In base 11, what is -349 + 4?
-345
In base 5, what is -4 - 134?
-143
In base 15, what is 3 - -3bd?
3c1
In base 9, what is 4 - -81?
85
In base 14, what is 15b + 5?
162
In base 5, what is -212 - | {
"pile_set_name": "DM Mathematics"
} |
ase 2, what is 10000001000010110 + -10111?
10000000111111111
In base 8, what is -62734 + -13?
-62747
In base 12, what is -34433 - -2?
-34431
In base 7, what is 5 + -112250?
-112242
In base 10, what is -732051 - -3?
-732048
In base 12, what is -3 - 8301?
-8304
In base 6, what is -1312 - 1555?
-3311
In base 14, what is -8 + -2ba0?
-2ba8
In base 16, what is 3 - -1b05?
1b08
In base 5, what is 3 + 211002022?
211002030
In base 16, what is -586 + -2?
-588
In base 10, what is -56484 + 1?
-56483
In base 15, what is 0 - -15e79?
15e79
In base 3, what is 10201221 - 1111?
10200110
In base 14, what is c5b5 - 5?
c5b0
In base 10, what is 5 + 482228?
482233
In base 9, what is 2686 + -47?
2638
In base 10, what is -513351 - -3?
-513348
In base 15, what is c + -2066?
-2059
In base 4, what is 12000132 + -121?
12000011
In base 13, what is -141bb + -5?
-141c3
In base 3, what is 0 + 122112222?
122112222
In base 3, what is -1020212221 - -10?
-1020212211
In base 12, what is -3811 - 1?
-3812
In base 2, what is 11111100001 + -1100?
11111010101
In base 7, what is 1166 + 233?
1432
In base 8, what is 353 + -540?
-165
In base 2, what is -111110001111 + 1101?
-111110000010
In base 4, what is 21223 + -332?
20231
In base 3, what is -20221 - -21110?
112
In base 2, what is 101100 + -10100110110010?
-10100110000110
In base 6, what is -111241454 - 4?
-111241502
In base 7, what is -142344316 - 5?
-142344324
In base 14, what is -119c - -2a3?
-cd9
In base 15, what is 1 - 178?
-177
In base 7, what is -10005 + -13?
-10021
In base 15, what is -22 + -4baa?
-4bcc
In base 3, what is 0 - 100122111?
-100122111
In base 6, what is 12533 + -11501?
1032
In base 12, what is -5 + -1544?
-1549
In base 7, what is -44 - 333?
-410
In base 2, what is 1010011011 + -111000000?
11011011
In base 3, what is -211 + 221221?
221010
In base 2, what is 100110010011 - 10010?
100110000001
In base 12, what is 3 - -2a6744?
2a6747
In base 13, what is 2 + 2a99a?
2a99c
In base 5, what is 102134 + -124?
102010
In base 9, what is -135 - 1021?
-1156
In base 10, what is 125 - -3446?
3571
In base 8, what is -2 + -123052?
-123054
In base 12, what is 426a5 - 5?
426a0
In base 10, what is 6 - -221216?
221222
In base 14, what is d75 - -4a?
dc1
In base 15, what is 4 + 46ce?
46d3
In base 14, what is 602a - -18?
6044
In base 16, what is -12b071 + 5?
-12b06c
In base 8, what is 324427 + 7?
324436
In base 6, what is 21022 - -15?
21041
In base 12, what is 5 + -326466?
-326461
In base 12, what is -b42 - 1ba?
-1140
In base 9, what is -4 + 406627?
406623
In base 10, what is -60564 - -1?
-60563
In base 12, what is -3 - 13b956?
-13b959
In base 9, what is 16524 - -4?
16528
In base 12, what is -1 + -5719a?
-5719b
In base 5, what is -3244 + 2030?
-1214
In base 7, what is -4 + -5652266?
-5652303
In base 16, what is -279 + -f92?
-120b
In base 12, what is -a24 + 162?
-882
In base 9, what is 6706 + -30?
6666
In base 6, what is -245453 + 33?
-245420
In base 14, what is -1 - -5582b?
5582a
In base 15, what is 3c + 675b?
6798
In base 14, what is -74 - -256?
1c2
In base 11, what is 5821a + -6?
58214
In base 15, what is -c - -bc2b?
bc1e
In base 14, what is c61 - 5bc?
683
In base 15, what is 5e0c + b?
5e18
In base 14, what is bcc98 + 0?
bcc98
In base 6, what is 1512 - 445?
1023
In base 2, what is -100 - 11011001110100000?
-11011001110100100
In base 16, what is 145da - 2?
145d8
In base 6, what is -1 + -115512?
-115513
In base 2, what is -101 + 10010001011110111001?
10010001011110110100
In base 15, what is -d4a9c - -6?
-d4a96
In base 9, what is -4 - 26321?
-26325
In base 5, what is -442304 + -1?
-442310
In base 16, what is -13a23 - -1?
-13a22
In base 10, what is -3075 + -383?
-3458
In base 8, what is 16702 + -3?
16677
In base 12, what is 480a9 - 6?
480a3
In base 3, what is 10012120 - -100?
10012220
In base 7, what is -34101602 + 1?
-34101601
In base 12, what is 0 - 2497?
-2497
In base 4, what is -1 - -301100012?
301100011
In base 12, what is 11a8 + 18a?
1376
In base 5, what is -10 - -3340214?
3340204
In base 3, what is -10 + -22222121221?
-22222122001
In base 5, what is -42 + -202223?
-202320
In base 16, what is 27cf - 2?
27cd
In base 9, what is -4 + 155422?
155417
In base 15, what is 109 - -d4?
1dd
In base 16, what is 23 + -101?
-de
In base 5, what is -1 + -1344113?
-1344114
In base 5, what is -2433 + -443201?
-1001134
In base 14, what is 1 - 3090?
-308d
In base 12, what is 25 - 949?
-924
In base 16, what is -69d - 11?
-6ae
In base 7, what is 5202 - -31?
5233
In base 2, what is -10011010001101110000 - -11?
-10011010001101101101
In base 14, what is 17 + -29d4?
-29bb
In base 13, what is 2223b - 5?
22236
In base 15, what is d22 + 17?
d39
In base 16, what is -4 + 5b94?
5b90
In base 10, what is 182 - 2842?
-2660
In base 7, what is -2122 + 22?
-2100
In base 13, what is 95c + -5?
957
In base 9, what is -24001 + 0?
-24001
In base 11, what is 64 + -10593?
-1052a
In base 16, what is -54 - e2e?
-e82
In base 13, what is 1 + -2c9a2?
-2c9a1
In base 16, what is -12 + eda?
ec8
In base 16, what is -2d59 + -3?
-2d5c
In base 6, what is -405 - -102?
-303
In base 4, what is -22021 - -2303210?
2221123
In base 10, what is -261 - 3431?
-3692
In base 10, what is -275 + -118?
-393
In base 6, what is 101403 - -200?
102003
In base 12, what is -43 - -2677?
2634
In base 4, what is -11100103 - 102?
-11100211
In base 16, what is -12b + 6c?
-bf
In base 15, what is 2 + 2c2?
2c4
In base 12, what is 241a + 17?
2435
In base 8, what is 37 - 52?
-13
In base 3, what is 112000 - 21211?
20012
In base 15, what is 6bd - -3e0?
aad
In base 14, what is -4 + -1b14?
-1b18
In base 4, what is 130310 + 12?
130322
In base 15, what is -1a4b3 - -3?
-1a4b0
In base 16, what is 149 - -65?
1ae
In base 9, what is 2 + 11023?
11025
In base 10, what is 1 + -15484?
-15483
In base 10, what is -860 + 118?
-742
In base 3, what is -1001120002 - -1?
-1001120001
In base 6, what is -10054 + 35?
-10015
In base 11, what is 123455 + 13?
123468
In base 6, what is -150 + -2433?
-3023
In base 16, what is -376 - 158?
-4ce
In base 14, what is -c3 - -3d?
-84
In base 7, what is 4255 + 146?
4434
In base 15, what is c + 55a?
567
In base 15, what is -7648 + -59?
-76a2
In base 9, what is 237 + 214?
452
In base 13, what is bcba + 1a?
c007
In base 16, what is -a + -f1f?
-f29
In base 6, what is -2515 - -1504?
-1011
In base 9, what is 5 + 1140155?
1140161
In base 11, what is 4099 + 149?
4237
In base 12, what is -9a555 - 4?
-9a559
In base 2, what is 11111111110101110 - 10?
11111111110101100
In base 3, what is -1001122212 - -11?
-1001122201
In base 10, what is -92 - 7107?
-7199
In base 4, what is 10201 - 1000112?
-323311
In base 6, what is 1330 + 103152?
104522
In base 2, what is -1001110101 - 100110?
-1010011011
In base 10, what is -163223 + -3?
-163226
In base 12, what is 3b9 - -106?
503
In base 16, what is -b + a8d?
a82
In base 3, what is 1 - -1021102002110?
1021102002111
In base 13, what is -15cc + -13?
-1612
In base 16, what is -ff3 - -11?
-fe2
In base 8, what is 0 - 1200726?
-1200726
In base 7, what is 4 - 6666?
-6662
In base 12, what is 5 - 89b07?
-89b02
In base 11, what is 2 + -7838?
-7836
In base 11, what is -7316 + 20?
-72a6
In base 9, what is -4836 - 21?
-4857
In base 14, what is b + 1250?
125b
In base 7, what is -5 + 333663?
333655
In base 9, what is 17 - 315?
-287
In base 13, what is -125b + -11a?
-1378
In base 8, what is -1 + 2044055?
2044054
In base 2, what is -11011001 + 1110100000?
1011000111
In base 10, what is -69 + -8774?
-8843
In base 11, what is -87 - -40767?
40690
In base 9, what is -703375 + -2?
-703377
In base 8, what is -3 + 1137724?
1137721
In base 2, what is -11011011010000 - 0?
-11011011010000
In base 4, what is -20 - 123322300?
-123322320
In base 12, what is -a2b + 43?
-9a8
In base 2, what is 11 + 10111100010011011?
10111100010011110
In base 7, what is 1555 - -155?
2043
In base 8, what is -166 + 101747?
101561
In base 14, what is 334298 + 3?
33429b
In base 10, what is 146 + 242?
388
In base 15, what is -3 - -971b?
9718
In base 2, what is 11 - -1100011000010010?
1100011000010101
In base 4, what is -10 + -2212120?
-2212130
In base 15, what is 3 - -cc7e?
cc82
In base 13, what is -1883 + a?
-1876
In base 2, what is 110001001011011101 + -11?
110001001011011010
In base 14, what is -a - 7661?
-766b
In base 14, what is | {
"pile_set_name": "DM Mathematics"
} |
*j*j**(-26)*j))**42 assuming j is positive.
j**1330
Simplify ((p/p**15)/p*p/p**(3/26))/(p**(-3/8))**(-27) assuming p is positive.
p**(-2521/104)
Simplify (d**(5/3)/(d*d**(3/4)*d))**(4/29)/((d**(4/7)/d)/(d/(d*d*d**(-3)))*(d**0)**(-4/7)) assuming d is positive.
d**(1388/609)
Simplify (((u**(3/13)/(u/(u**(-12)/u)))**(-18))**11)**(-16) assuming u is positive.
u**(-567072/13)
Simplify (m**(-16)/m*m*m**24*(m**(5/13)*m)/(m/m**(-1/4)))**(-25) assuming m is positive.
m**(-10575/52)
Simplify ((y/(y/(y/y**0)))/(y**(3/5)/y*y*y))**12*y**(-1/2)*y**(-5)*y**0/y*y*(y/y**(2/7))/y assuming y is positive.
y**(-909/70)
Simplify (((t**(3/8)*t*t**12)/(t*t**(-1)/t)**(4/9))**(-5))**(-2/133) assuming t is positive.
t**(4975/4788)
Simplify ((n**(-1))**(3/25))**(-19)/((n/(n/n**2)*n*n**(3/7))/(n*n*n*n**1*n)**(-40)) assuming n is positive.
n**(-35201/175)
Simplify ((o**(-28)/(o*(o*o**(5/4)*o)/o))/(o**(-8)/(o*o*(o/o**(2/37))/o*o*o*o)))**(2/55) assuming o is positive.
o**(-2709/4070)
Simplify ((n*n*n**0)**(-32)*((n*n/(n/n**(-1)))/n)**(-32))**18 assuming n is positive.
n**(-576)
Simplify (v**(4/3)/v*v/(v/v**(1/14)))**(1/35)/((v*v**1)/(v*v/v**3))**(-28) assuming v is positive.
v**(123497/1470)
Simplify (h**(1/17)/h**0*h**(-2/15)/(h*h*(h/(h/(h*h**(-1/4)*h)))/h))**(-13/3) assuming h is positive.
h**(37453/3060)
Simplify y*y*y**(-1/5)/y*y*y*y**(1/4)*y*(y**(2/3))**48*(y**(1/4)/y**(2/17))/(y**(-1/3))**41 assuming y is positive.
y**(25423/510)
Simplify ((h**(-2)/(h*h**(-3)))/((h**(-2/3)/h)/h*h*h*h**(-6/11)))/((h**(3/2)*h)**50)**(-3/11) assuming h is positive.
h**(1165/33)
Simplify ((k**(2/7)*k)**(-29)/(k**(-7)/((k*k**(27/4))/k)))**(2/45) assuming k is positive.
k**(-659/630)
Simplify (w**(-1))**(1/5)*w**0*w/(w*w**(4/9))*(w**(-5)*w*w**(-2))/(w**(-1/3))**(-1/31) assuming w is positive.
w**(-9284/1395)
Simplify ((c/c**(1/7))/c*(c**(-1/4)*c)/c)**(-2/37)/((c*c**1)**(-16/7))**(-5/11) assuming c is positive.
c**(-11719/5698)
Simplify ((p/(p**1/p*p*p))**2*p**(-9)*p/p**(-14))**(1/64) assuming p is positive.
p**(1/16)
Simplify (n*n*n*n**(8/7)*n*n*n**(1/7)*n)/(n*n/n**(-17)*n*n**(-16)) assuming n is positive.
n**(23/7)
Simplify ((i*i/i**(-2/129)*i**15)**(-6))**13 assuming i is positive.
i**(-57070/43)
Simplify (j*j*j**0/j*j**(-1))**(4/11)*(j**(-2/7))**(-5/7)/(j**(-4/5)/(((j/j**(4/3)*j)/j)/j*j)) assuming j is positive.
j**(493/735)
Simplify ((z/(z*z**15/z)*z*(z*(z**(-14)*z)/z*z)/z)/((((z/(z/z**(-11)))/z)/z*z)/z*z*z**(-15)))**8 assuming z is positive.
z**8
Simplify (((q*q**(-7/2))/q*q)/(((q/(q**(-2)*q)*q)/q)/q*q)*((q**(2/7)/q)/q)**(-1/5))/(q**(5/4)/q**6)**(-2/185) assuming q is positive.
q**(-1090/259)
Simplify ((v*v*v**7*v*v**(-6))/(v**(-2/5)/((v**(3/5)/v)/v*v)))/((v*v**7/v*v)/v**(5/3)*(v*v/v**(-1/6)*v)/v**7) assuming v is positive.
v**(3/2)
Simplify ((m*m*(m/((m/(m/m**5))/m)*m)/m*m*m**7*(m*m**(-2/7))**15)**37)**(-6/31) assuming m is positive.
m**(-888/7)
Simplify (h**(-1/2))**45/(h**(-1))**11*(h/(h*h**(3/7)*h)*h*h/(h*h**(2/5)/h*h)*h)**(2/11) assuming h is positive.
h**(-8831/770)
Simplify (q**8/(q*q/(q**33/q))*q/(((((q*q**(-33)*q)/q)/q)/q)/q)*q*q**(-6/19))**(-10/9) assuming q is positive.
q**(-4730/57)
Simplify (((s/s**10)/(((s*s**(-43)*s)/s)/s))/(s**(-19/3)/(s**(-4/7)*s)))**(16/3) assuming s is positive.
s**(13696/63)
Simplify (r**(-1/7)/r)/(r/(r/r**(2/11)*r))*(r**(-2/7))**(-17)*((r/(r*r*r**(-1)*r))/r)**(3/5)*r**(-4)/r*r**(-2) assuming r is positive.
r**(-1412/385)
Simplify ((((x**(-3/10)*x)/(x/(x**1*x)))**(1/4))**(6/11))**(-1/18) assuming x is positive.
x**(-17/1320)
Simplify ((h/((((h**(4/7)/h)/h)/h)/h)*h)/h**0*(h**0)**(-21))/((h*h**(-2/7)/h)**(3/5))**(-1/22) assuming h is positive.
h**(2087/385)
Simplify (((t*(t/((t**(-1/9)/t)/t))/t*t)/((t**(2/7)/t*t)/t))/(t**(-4)/(t**(-1/7)*t)))/(t**(-1/10)/t*t*t*t**5*t)**(1/9) assuming t is positive.
t**(5617/630)
Simplify ((n**(-1)*n)**6*(n**(-1/3)/n)**8)/(n*n**(2/9)*n**(-7))**(1/3) assuming n is positive.
n**(-236/27)
Simplify (w/w**(-1))**(2/139)*((w/(w/((w/(w*w*w**7/w*w))/w*w)))/w)/(w*w/w**2*w)*(w**(-1/3))**(-6/11)/(w**(6/5)/(w*w**(-7))) assuming w is positive.
w**(-129884/7645)
Simplify ((((z*z/z**1*z)/(z/(z/z**(-6))))**43)**(-26))**(-12) assuming z is positive.
z**107328
Simplify (((l*l*l**3)/l**(-47))/(l*l*(l*l**(1/46)/l)/l)**(-2/19))**(-33) assuming l is positive.
l**(-751443/437)
Simplify (g/g**39*g/(g**8/g))/(g*g**23*(g/(g/(g**(-1/16)*g*g)))/g) assuming g is positive.
g**(-1103/16)
Simplify ((x*x*(x**(-1)*x)/x)**(-9)/((x/(x/x**(-1/5)))/x**0))/(((x**4*x)/x**(-6))/(x**(2/7)*x**(-4/7))) assuming x is positive.
x**(-703/35)
Simplify ((c*c/(c/(c/c**(-16)*c))*c)/(c/(c*c*c/(c**(2/47)/c))*c)*(c/(c*c**1*c))/(c/(c/c**(2/9))))**(-8/17) assuming c is positive.
c**(-66784/7191)
Simplify ((n*n*n**(-1/14)*n)/n*n**(4/7))**(2/11)*((n/(n**(-2/7)*n))/n)**39/(n**(-2/7))**7 assuming n is positive.
n**(-1956/77)
Simplify (((p/p**0)/p)**(-41))**30/((p/(p**5*p*p)*p)/((p*p**(-2/13)/p*p)/p))**(-31) assuming p is positive.
p**(-1953/13)
Simplify (s**(-2/3))**(-39)*(s*s**1/s*s*s)/(s**3*s)*(s**(2/3))**(44/3)*((s**(-2/3)*s)/s)**(2/25) assuming s is positive.
s**(7813/225)
Simplify (((s*s/((s*s**0/s)/s*s)*s)**(6/5)/((s**(-12)/s)/(s/s**(-5/2))))**(-37))**14 assuming s is positive.
s**(-52059/5)
Simplify (r/r**(-2/3)*r*r)**34/(r**3/(r/(r*r*r**(3/4)*r*r)))*(r**1)**(-2)*(r*r**(1/2)*r)**1 assuming r is positive.
r**(1421/12)
Simplify (c**(-1/18)*c/((c**40*c)/c))/(c*c**10*c*c/(c**(-6/11)/c)*c) assuming c is positive.
c**(-10811/198)
Simplify ((z**(-4)/z)/(z/z**(4/3)))**(-29/5)/((z*z*z**(-1))**(-21)/(z**(-3)*(z*z**(4/3))/z*z*z)) assuming z is positive.
z**(242/5)
Simplify (r/r**(1/4))**(-24/11)*(r**(-7)/r*r*r*r*r)/(r/(r*(r/(r**1*r*r))/r*r*r))*(r*r*r*r**(-1/4)*r)**(-35)/(r**2)**(-2/51) assuming r is positive.
r**(-309241/2244)
Simplify l**(-7)*l*l*l**(2/9)*l*l**(4/3)*l**(2/7)*((l*l**10/l)/l**(-8))**(2/9) assuming l is positive.
l**(116/63)
Simplify (x**(-23)*x*(x/(x/(x*x**(-18))))/x*(x*x**(1/8))**3)**(7/3) assuming x is positive.
x**(-2051/24)
Simplify ((g**(1/4)/g**(-11)*((g**(1/2)/g)/g)/(g*g*((g/(g/g**0))/g)/g*g))**(-6/13))**(-18/11) assuming g is positive.
g**(945/143)
Simplify ((x*x**(2/17)/x)/x**1)**4*(((x/x**(1/5))/x)/x*x**(-3))**40 assuming x is positive.
x**(-2916/17)
Simplify ((u**4*u*u**27)/(u*u*u**(5/6)/u)**5)**(-4/9) assuming u is positive.
u**(-274/27)
Simplify (y/y**(-6)*y*y**(-1/6))/((y**(-7)/y)/y**6)*y**5*y**(-1)/y*y*y**(-4)/y**(-5) assuming y is positive.
y**(161/6)
Simplify ((i**(1/6))**(-38))**(-13/6)/(i**(-1)*i/((i*i*i**(-2))/i)*i**(1/7)/i**(-1/5)) assuming i is positive.
i**(7799/630)
Simplify (o/o**(-2/43)*o*o/((o*o**(35/6))/o)*o*o)/(o**20/o)**(-6) assuming o is positive.
o**(29209/258)
Simplify (i**1)**(-12/7)/(i**(2/17)*i/(i**0*i))*(i**6/i**1)/(i**(1/2)/(i/(i**(-1/6)*i))) assuming i is positive.
i**(1012/357)
Simplify ((r**(-8)*r**(-9))/(r**(1/5)/(r*r**(-5/4)/r*r)))/((r*r**(-2))**(-2/61)/(r**(-2/7)/(r*r**7))) assuming r is positive.
r**(-220063/8540)
Simplify ((u/(u/((u/u**(-1/3))/u)*u))**22)**(-9/2)/((u**(-2/5))**9)**(-26) assuming u is positive.
u**(-138/5)
Simplify ((((k/k**5)/k**(-6/7))**16)**(-26))**6 assuming k is positive.
k**(54912/7)
Simplify (((g*g**(-1/2)*g*g)/g**4)/(g**(2/11)/(g*g**(1/2)*g)))/((g**2)**(1/6)/(g**6/g*(g/(g*g**(-8)))/g)) assuming g is positive.
g**(412/33)
Simplify ((p*p*p**0*p)/p*p*p)**(-21/2)*p**(-1)*p**(2/13)*((p**(-5/4)/p)/p)/p**(-1/4)*(p*((p*p/p**(-1)*p)/p)/p)**12 assuming p is positive.
p**(-128/13)
Simplify ((o**(-1))**42)**(-4/5)*((o**(1/6)/o)/(o*(o**(-11/2)*o)/o))**(-42) assuming o is positive.
o**(-602/5)
Simplify (u**(-6)*u**(2/17)*(u*u**(3/5))/(u*u**(-1/14)))/((u**7*u)/u*(u**5/u)/u)**10 assuming u is positive.
u**(-125201/1190)
Simplify (((f*f/f**(14/9))/f**(2/27))/(((f/(f**(-3/7)/f))/f)/((f**(-8)*f)/f)))**49 assuming f is positive.
f**(-11984/27)
Simplify (q/q**1)**(-1/8)*q**(-1)*((q/q**7)/q)/q*(q*q**(-2/5))**2/((q/q**(-1/5))/q**0) assuming q is positive.
q**(-9)
Simplify ((y/(y**(3/7)/y))**47/(y**(-1/9))**(-2/39))**(-34) assuming y is positive.
y**(-6169402/2457)
Simplify ((n/(n**(1/11)*n))/n**(3/10)*(n*n*n*n**(-1/25)/n*n)/n**(-2/41))**(-1/47) assuming n is positive.
n**(-59033/1059850)
Simplify ((z**0)**(-49)/(z**(3/8)/(z*z*z/z**6)))/(((z**(2/9)*z)/z*z**1*z)/(z*z/((z*z/z**(2/3)*z*z)/z*z*z)*z**(3/5))) assuming z is | {
"pile_set_name": "DM Mathematics"
} |
e units digit of j(k)?
7
Let y(q) = -q**2 - 11*q - 13. Let a be y(-9). Suppose -32 = -s - a*j, -11 = 3*s - s - 5*j. What is the units digit of s?
7
Let o(x) = -x**3 - 10*x**2 + 19*x + 9. What is the units digit of o(-13)?
9
Suppose -p - 2 = -0*p. Let b be (p/2 - 0)*-1. What is the tens digit of -1 - (-1 + b + -11)?
1
Let o(v) = -5*v + 8. What is the units digit of o(0)?
8
Suppose 8 = -4*v, 3*v - 3 = -r + 7. What is the tens digit of r?
1
Suppose -3*t = 35 - 89. What is the units digit of t?
8
Suppose -3*x = -2 - 4. Suppose 22 = w - x*w. What is the tens digit of 2/((4/w)/(-1))?
1
What is the units digit of ((-12)/(-9))/(2/39)?
6
Suppose -4*n + 4*f + 44 = 0, -1 - 2 = f. What is the units digit of n?
8
Suppose -6 + 14 = -i - 5*y, 4*i - 4*y - 64 = 0. What is the units digit of i/(-8)*32/(-6)?
8
Suppose 0 = -3*u + u + 26. What is the units digit of u?
3
Let c(o) = -o**3 + 7*o**2 - 5*o + 5. Let s be c(6). Suppose 5*v = 19 + s. What is the units digit of v?
6
Let d be (-3)/(-2) - 3/(-6). Suppose 3*j - 44 - 10 = 0. Let u = d + j. What is the tens digit of u?
2
Let f be -44 - (0/(-3) + 3). Let m = f - -30. Let z = 27 + m. What is the units digit of z?
0
What is the units digit of (-91)/(-3) + (-16)/(-24)?
1
Let j = -19 - -14. Let h = j - -11. What is the units digit of h?
6
Let q(x) = -x**3 - 2 - 3 + 8*x + 4*x**2 + 2. Let b = 2 - -3. What is the tens digit of q(b)?
1
Suppose 0 = o + 4*i - 22, 4*o + 2*i - 110 = -o. What is the tens digit of o?
2
Let v(d) = d**3 + 2*d**2. Let w be v(-2). Let y be (w/1)/(0 + 3). Suppose 0*m - 4*m + 36 = y. What is the units digit of m?
9
Let d(o) be the third derivative of o**6/120 + 2*o**5/15 + 7*o**4/24 + 5*o**3/3 + 3*o**2. What is the units digit of d(-7)?
0
Let u(o) = -11*o + 4. Let z be u(-4). Let s = -19 + z. What is the units digit of s?
9
Suppose -2*o - 4*o + 54 = 0. What is the units digit of o?
9
Suppose 3*c + 4*p = -322, -c + 16 - 105 = 5*p. What is the tens digit of 3/4 - c/8?
1
Let b(h) = -24*h + 30*h + h**2 + 0*h**2. What is the tens digit of b(-8)?
1
Suppose -4*i - 5 = -9*i. Let u(l) = -5*l - 3 + 13*l + 2. What is the units digit of u(i)?
7
Let c(o) = 42*o + 3. What is the tens digit of c(1)?
4
Suppose -w + 16 = 3*w. Suppose -6*z = -3*z - 4*d - 73, 0 = d + w. Let p = -6 + z. What is the units digit of p?
3
Suppose -7*y + 5*y + 8 = 0. Suppose -k + 12 = -0*k - 5*u, 0 = -u + y. What is the tens digit of k?
3
Let x be (-198)/(-4) - (-9)/(-6). Suppose -r + x = 2*h + 4, -3*h + 4*r + 55 = 0. What is the tens digit of h?
2
Let z = -295 - -493. What is the hundreds digit of z?
1
Suppose 0 = -4*r - 0 - 4. Let w be -27 - r/2*6. Let o = 40 + w. What is the tens digit of o?
1
Let u = -53 - -103. What is the units digit of u?
0
Let n be 0*3/(-9) - -1. Let l be 0 + n + 5 + -2. Let g = -2 + l. What is the units digit of g?
2
Let t(g) be the second derivative of g**3/2 - 3*g**2 - g. Suppose 5*s - 8 = 3*u, 4*s + 2 + 2 = 5*u. What is the units digit of t(u)?
6
Suppose 0 = -2*c + 5*c - 51. Let k = 4 + c. What is the tens digit of k?
2
Suppose 4*f + 57 = 177. What is the units digit of f?
0
Suppose -85 + 305 = 2*w. What is the tens digit of w?
1
Let t(m) = m**3 + 6*m**2 - 8*m - 4. Suppose -4*a - 39 + 11 = 0. What is the units digit of t(a)?
3
Let j = -53 + 104. What is the tens digit of j?
5
Let i = -61 + 109. Let y = -21 + i. What is the tens digit of y?
2
Suppose 2*i = -3*i + 25. Suppose -65 + 280 = i*n. What is the tens digit of n?
4
Suppose 4*s = 1 + 15. Suppose t - 3*o = -2*o - 5, -s*o + 8 = -2*t. Let n = t + 12. What is the units digit of n?
6
Let k be ((-1)/(-1))/(2/4). Let l(u) = -3*u - 3. Let m(b) = -4*b - 2. Let p(c) = k*m(c) - 3*l(c). What is the tens digit of p(5)?
1
Suppose t - b = -1, 0*b + 4*b = 2*t + 8. What is the units digit of (38 - t)*(-4)/(-12)?
2
Let v = 9 - 6. Suppose r - 2*x = 8, 4*r + 4*x = -0*x + 8. Suppose 15 = v*t - b, 2*t - t = r*b + 5. What is the units digit of t?
5
Let v(b) be the first derivative of b**4/4 + 8*b**3/3 - b**2 - 8*b - 1. Let f be v(-8). What is the units digit of 1/(f/7 + -1)?
7
Let t(h) = -h**2 + 6*h - 5. Let o be t(5). Suppose o*s = s - 2. Suppose 0*c + s*c = 12. What is the units digit of c?
6
Let y be 2*2/(-4) - -3. Suppose 5*v + y*f = -4 + 50, 0 = 3*v - 5*f - 9. What is the units digit of v?
8
Let h(i) = -i. Suppose 2*w - 8*q = -4*q - 14, 4*w + 10 = 2*q. What is the units digit of h(w)?
1
Let x(y) be the first derivative of y**4/4 + 5*y**3/3 + 2*y**2 + 7*y + 1. What is the units digit of x(-4)?
7
Let j = 12 - 8. What is the tens digit of j/(57/51 - 1)?
3
Suppose -4*d + h - 16 + 3 = 0, -2*h = -3*d - 11. Let r(g) = -g**3 - 4*g**2 - 2*g - 3. Let z be r(d). What is the units digit of (21/z)/(3/(-6))?
7
Suppose 2*k + 2*k = -8. Let a(t) = -6*t - 1. What is the units digit of a(k)?
1
Let f(b) = b + 2. Let a be f(-1). Let t be ((-24)/9)/(1/(-3)). Let x = a + t. What is the units digit of x?
9
Let s = 34 - 11. Suppose -3*k + s = 2*q, 0 = -4*k + 4*q - 6*q + 32. What is the units digit of k?
9
Let w = 5 - 5. Suppose 6 = 2*f, w*f + 109 = 5*m + 3*f. What is the tens digit of m?
2
Let i(b) = -b**2 - 8*b - 2. Let r be 0 - -1*(-6)/1. What is the tens digit of i(r)?
1
Suppose -5*v + 4*f + 30 = -f, 2*v - 14 = 4*f. Let q be (v - 2)*(4 - 3). Suppose -q*w + 2 + 7 = 0. What is the units digit of w?
3
Let z = 6 + 38. What is the units digit of z?
4
Suppose -t + 4*t = 102. What is the units digit of t?
4
Let g = -27 - -48. What is the units digit of g?
1
Suppose -t = t - 22. Let h = -6 + t. Let x = 9 - h. What is the units digit of x?
4
Suppose n + n = 12. Let w(i) = -7 + 14 + 0*i + 6*i - i**2. What is the units digit of w(n)?
7
Let x(w) = -w**3 - w**2 - w - 5. What is the tens digit of x(-5)?
0
What is the units digit of 2/(-4)*(-69 + 7)?
1
Suppose 0 = 2*y - b + 5, -6*y + 3*y + 4*b = 20. Suppose -i + t + 1 = -y*t, 4 = -2*i - t. What is the units digit of 3*(-1 - 2*i)?
3
Let a be -2 + 4 + -1 - 0. Let b(m) = 14*m. What is the units digit of b(a)?
4
Suppose -5*d = 4*i - 1197, -10*d + 5*i + 459 = -8*d. What is the tens digit of d?
3
Let o be (3 + -4)*(1 + -3). Suppose -3*h + 12 = -3, -5*h = -o*i - 15. What is the units digit of i?
5
Suppose 0 = 2*k - q + 42, -2*k - 63 = k - 3*q. Let i = -13 - k. Let j = i + 1. What is the units digit of j?
9
Let q(k) = -k**3 + 7*k**2 - 5*k - 1. Let y = 12 + -6. Let a be q(y). What is the units digit of 2/a + (-36)/(-10)?
4
What is the units digit of (13 + -11)/((-4)/(-118))?
9
Suppose -4*p + 148 = 4*o, 4*p = -o + 29 + 2. What is the units digit of o?
9
Let u(d) = 11*d**2 - 2*d - 13. What is the units digit of u(3)?
0
Let y(p) = p**3 + 5*p**2 + 2*p + 4. Let x be y(-4). Suppose 10*u - x*u = -108. What is the units digit of u?
4
Suppose -2*l = -2*p, 4*l - 6 = -3*p + 5*l. Suppose 4*g = -3*u - 702, -2*g - 470 = -u + p*u. What is the tens digit of 2/3 + u/(-21)?
1
Let q(b) be the second derivative of 1/3*b**3 + 1/4*b**4 - 1/2*b**2 + 0 - 2*b. What is the units digit of q(-2)?
7
Let w(v) be the third derivative of v**4/24 - v**2. Let g be w(5). Suppose -s = p - 14, -p - 17 - 47 = -g*s. What is the tens digit of s?
1
Let m(b) be the second derivative of b**3 - 3*b**2/2 + b. Let o be m(3). Let k = -11 + o. What is the units digit of k?
4
Let q = 5 + -6. Let x be (4 + 2 + -4)*3. Let h = q + x. What is the units digit of h?
5
Suppose -16 = -5*k - 1. Suppose -k*v = 4*c - 3, 2*c - 5*v = c + 18. Suppose -x + 3*b = -26, 2*b + 53 = c*x - 2*b. What is the units digit of x?
1
Let l(w) = -8*w. Let y be l(-1). Let o = y + -5. Let r = o + 0. What is the units digit of r?
3
Let w = 181 + -97. Suppose d = -2*d + w. What is the tens digit of d?
2
Let x = -134 + 209. What is the units digit of x?
5
Suppose 31 = 3*v - 92. What is the units digit of v?
1
Suppose 7*q - 147 - 21 = 0. What is the units digit of q?
4
Suppose -6*g + 2*g - 8 = 4*v, v + 26 = -5*g. Let s = g + 19. What is the units digit of s?
3
Let c(n) = 4*n - 1. Let x be c(1). Suppose -4*f + 3*f = -x. Suppose -3*u - 4 = -2*w, -5*u - 5 + 0 = -f*w. What is the units digit of u?
2
Let p be (-6)/4*94/3. Let g = -30 - p. What is the tens digit of g?
1
Let c(i) be the second derivative of i**4/12 + i**3 + i**2 + 2*i. What is the units digit of c(-7)?
9
Let t = 73 - 1. What is the tens digit of t?
7
Suppose -5*u + 13 = -2*n, -3*u + u + | {
"pile_set_name": "DM Mathematics"
} |
e smallest common multiple of 854 and 4392.
30744
Calculate the smallest common multiple of 45 and 126.
630
What is the least common multiple of 141 and 15?
705
Calculate the least common multiple of 2094 and 12.
4188
Calculate the lowest common multiple of 672 and 189.
6048
Calculate the least common multiple of 40 and 144.
720
Calculate the common denominator of -89/225 and -2/45.
225
Calculate the least common multiple of 281 and 27.
7587
Find the common denominator of -51/100 and 67/14.
700
Calculate the smallest common multiple of 62 and 93.
186
What is the common denominator of -139/42 and 71/896?
2688
Calculate the common denominator of -64/57 and 53/12.
228
Calculate the common denominator of -3/3056 and -23/18.
27504
Find the common denominator of -23/468 and -3/4.
468
Calculate the common denominator of 15/16 and -73/30.
240
What is the common denominator of -61/2 and 16/113?
226
Calculate the lowest common multiple of 1528 and 1910.
7640
What is the common denominator of -73/336 and -115/12?
336
Calculate the common denominator of -143/96 and 61/516.
4128
Calculate the lowest common multiple of 688 and 1376.
1376
What is the smallest common multiple of 689 and 89?
61321
Calculate the least common multiple of 45 and 5.
45
Calculate the least common multiple of 44 and 55.
220
What is the lowest common multiple of 1953 and 54?
11718
Calculate the common denominator of -73/104 and 69/2036.
52936
Find the common denominator of -65/168 and -33/4.
168
Find the common denominator of -38/125 and 97/700.
3500
What is the smallest common multiple of 1880 and 2068?
20680
Find the common denominator of 75/2 and 27/380.
380
What is the common denominator of -151/30 and 58/375?
750
What is the common denominator of -119/30 and 77/15?
30
What is the least common multiple of 6 and 819?
1638
What is the common denominator of 36/715 and -4/99?
6435
Calculate the lowest common multiple of 6 and 172.
516
Calculate the least common multiple of 33 and 5922.
65142
Calculate the common denominator of 1/2 and 85/598.
598
What is the least common multiple of 333 and 42?
4662
What is the common denominator of -59/18 and 91/426?
1278
What is the smallest common multiple of 12 and 114?
228
Calculate the least common multiple of 35 and 14.
70
Calculate the smallest common multiple of 57 and 30.
570
What is the lowest common multiple of 44 and 3904?
42944
What is the common denominator of -71/20 and -131/204?
1020
What is the common denominator of -71/68 and -49/20?
340
What is the common denominator of -19/4000 and 5/16?
4000
What is the common denominator of 7/27 and 34/99?
297
Calculate the common denominator of 61/91 and -4/63.
819
Find the common denominator of -27/119 and 23/17.
119
Calculate the least common multiple of 336 and 216.
3024
What is the least common multiple of 2204 and 232?
4408
Calculate the common denominator of 76/93 and -77/120.
3720
Find the common denominator of -55/1004 and -43/8.
2008
What is the least common multiple of 6 and 320?
960
Calculate the lowest common multiple of 207 and 276.
828
What is the common denominator of 123/1540 and -65/2?
1540
What is the common denominator of -34/3 and 71/864?
864
What is the common denominator of -46/301 and 39/11?
3311
Calculate the common denominator of 17/6 and -18.
6
Calculate the smallest common multiple of 448 and 21.
1344
Find the common denominator of 53/510 and -191/510.
510
Calculate the common denominator of -27/11 and -4/995.
10945
Calculate the common denominator of -91/1402 and -35/22.
15422
What is the smallest common multiple of 174 and 84?
2436
What is the least common multiple of 493 and 261?
4437
Calculate the lowest common multiple of 26 and 20.
260
What is the smallest common multiple of 364 and 196?
2548
Calculate the least common multiple of 1445 and 1734.
8670
Calculate the common denominator of -113/354 and -35/3.
354
Find the common denominator of 9/10 and -131/24.
120
Find the common denominator of -16/9 and -5/999.
999
What is the least common multiple of 28 and 216?
1512
Calculate the common denominator of -111/80 and 65/408.
4080
What is the common denominator of 79/220 and 121/50?
1100
What is the smallest common multiple of 47 and 9?
423
What is the common denominator of 161/90 and 26/33?
990
What is the lowest common multiple of 104 and 148?
3848
What is the smallest common multiple of 27 and 1033?
27891
Find the common denominator of -38/115 and -59/9.
1035
What is the least common multiple of 544 and 748?
5984
Find the common denominator of 77/18 and -19/7.
126
Calculate the common denominator of 37/54 and -63/20.
540
Calculate the lowest common multiple of 18 and 30.
90
What is the lowest common multiple of 32 and 136?
544
Find the common denominator of -19/450 and 31/678.
50850
What is the least common multiple of 48 and 368?
1104
Calculate the smallest common multiple of 34 and 126.
2142
Calculate the least common multiple of 7 and 19.
133
Calculate the least common multiple of 5032 and 85.
25160
What is the least common multiple of 2784 and 1044?
8352
Find the common denominator of -143/140 and 31/154.
1540
Find the common denominator of 73/320 and -99/64.
320
Find the common denominator of -109/6 and -79/22.
66
Calculate the common denominator of 16/3225 and -50/129.
3225
What is the common denominator of -25 and -51/701?
701
What is the lowest common multiple of 660 and 330?
660
Calculate the common denominator of -47/256 and 57/100.
6400
What is the smallest common multiple of 224 and 112?
224
What is the common denominator of -8/77 and -40/473?
3311
Calculate the lowest common multiple of 306 and 714.
2142
Find the common denominator of 15/68 and 149/108.
1836
What is the lowest common multiple of 80 and 56?
560
What is the lowest common multiple of 350 and 250?
1750
What is the least common multiple of 30 and 5?
30
What is the least common multiple of 48 and 108?
432
Calculate the lowest common multiple of 200 and 22.
2200
Calculate the common denominator of -70/183 and 45/41.
7503
Find the common denominator of -33/4144 and 75/4.
4144
What is the lowest common multiple of 464 and 116?
464
What is the common denominator of -19/12 and -83/7940?
23820
What is the common denominator of 17/11 and 61/4652?
51172
What is the least common multiple of 16 and 40?
80
Calculate the lowest common multiple of 6 and 753.
1506
Calculate the lowest common multiple of 6 and 224.
672
What is the common denominator of -113/2632 and -36/7?
2632
Find the common denominator of -47/45 and 67/18.
90
Calculate the common denominator of -79/132 and -15/4.
132
Calculate the lowest common multiple of 18 and 2416.
21744
Find the common denominator of -1/982 and -31/20.
9820
What is the lowest common multiple of 4170 and 8?
16680
What is the common denominator of -17/505 and 77/4?
2020
Find the common denominator of -2/187 and 47/21.
3927
Calculate the common denominator of 47/20 and 47/2210.
4420
What is the least common multiple of 350 and 40?
1400
Find the common denominator of -91/1332 and -32/27.
3996
Calculate the lowest common multiple of 10448 and 10.
52240
Find the common denominator of 7/2250 and -17/20.
4500
What is the common denominator of -131/30 and -23/330?
330
Find the common denominator of 163/30 and 38/327.
3270
Calculate the least common multiple of 1160 and 80.
2320
Calculate the common denominator of 31/10 and -119/50.
50
What is the common denominator of 41/9 and 77/23712?
71136
What is the common denominator of -40/21 and -29/33?
231
Calculate the common denominator of -139/72 and -139/120.
360
Calculate the smallest common multiple of 2304 and 576.
2304
Calculate the common denominator of -9/1306 and 1/6.
3918
Calculate the least common multiple of 2 and 6162.
6162
Calculate the smallest common multiple of 403 and 62.
806
Calculate the lowest common multiple of 28 and 36.
252
What is the common denominator of 38/3 and 79/850?
2550
Find the common denominator of 53/274 and -81/2.
274
What is the common denominator of 53/24 and 25/676?
4056
What is the least common multiple of 380 and 1140?
1140
What is the smallest common multiple of 1788 and 20?
8940
What is the common denominator of -3/104 and -47/168?
2184
What is the common denominator of -89/2604 | {
"pile_set_name": "DM Mathematics"
} |
8. Let w(m) = -c(m) - 13*g(m). Factor w(s).
2*(s + 1)*(s + 2043)
Let y(s) be the first derivative of -s**6/120 - 7*s**5/60 + s**4/3 + 58*s**2 - 90. Let t(v) be the second derivative of y(v). Factor t(p).
-p*(p - 1)*(p + 8)
Let i(y) = 10*y**2 + 48*y + 44. Let o(d) = d - d - 6*d**2 + 17*d**2 - 12*d**2. Let s(t) = i(t) + 6*o(t). Factor s(j).
4*(j + 1)*(j + 11)
Let l(m) be the second derivative of -3*m**6/10 - 33*m**5/4 - 419*m**4/6 - 454*m**3/3 - 140*m**2 + 204*m - 2. Find h such that l(h) = 0.
-10, -7, -2/3
Suppose -3313*g**2 + 1080*g + 1692*g**3 + 20*g**4 - 847*g**2 + 312*g = 0. Calculate g.
-87, 0, 2/5, 2
Let k(b) be the second derivative of -1/45*b**5 - 2/9*b**3 + 45*b + 1/9*b**4 + 2/9*b**2 + 0. Let k(m) = 0. What is m?
1
Let x = -42 + 52. Solve -x + 8*s + 9*s**4 - 15*s**2 - 2*s - 4*s**4 + 19*s - 5*s**3 = 0.
-2, 1
Let m(w) be the second derivative of -w**9/15120 + w**8/2240 - w**6/180 - 7*w**4/2 - w - 3. Let u(g) be the third derivative of m(g). Factor u(v).
-v*(v - 2)**2*(v + 1)
Let n be (-133)/28*4 + 23. Factor -6/5*y**2 + 3*y + 9/5 + 3/5*y**5 - 18/5*y**3 - 3/5*y**n.
3*(y - 3)*(y - 1)*(y + 1)**3/5
Factor -13/4*s**2 + 117 - 1/4*s**3 + 9*s.
-(s - 6)*(s + 6)*(s + 13)/4
Let y be ((-11)/((-11)/(-4)))/(1/(-5)). Let j be (-64)/12*(-15)/y. Let -4*a**5 - 36*a**3 + 3*a**j + 17*a**4 - a - 7*a + 28*a**2 = 0. Calculate a.
0, 1, 2
Let t(l) be the second derivative of -l**6/210 - 227*l**5/140 - 225*l**4/28 - 673*l**3/42 - 16*l**2 + 43*l - 4. Suppose t(k) = 0. Calculate k.
-224, -1
Suppose 52 = 5*d - 3*c, -70 + 36 = -3*d + 2*c. Suppose 175/2*p + 5/4*p**d + 6125/4 = 0. What is p?
-35
Let y(l) be the first derivative of 5*l**6/27 + 94*l**5/45 + 71*l**4/9 + 212*l**3/27 - 49*l**2/3 - 34*l - 5050. Solve y(o) = 0 for o.
-17/5, -3, -1, 1
Suppose 0*w - w = -3. Let n be 42/(-20) - (108/243 + (-53)/18). Factor 0 - 2/5*v**4 + 0*v**w + 0*v + n*v**2.
-2*v**2*(v - 1)*(v + 1)/5
Let a be (100/432*6 - 6/4)*-2. Let a*o**3 - 2/9*o + 10/9 - 22/9*o**2 + 4/3*o**4 = 0. What is o?
-1, 5/6, 1
Let b(z) = -z**2 + 195*z - 2518. Let y be b(14). Factor 7/2*q**3 + 27/2*q**2 + 6 + y*q.
(q + 1)*(q + 2)*(7*q + 6)/2
Let g(c) be the third derivative of c**5/240 + 97*c**4/48 - 65*c**3/8 + c**2 - 115*c - 2. Determine k, given that g(k) = 0.
-195, 1
Let v(f) = 7*f + 5. Let k be v(0). Suppose k*s**4 - 23*s**2 - 24*s - 7*s**2 + 28*s**3 - 31*s**3 - 2*s**4 = 0. Calculate s.
-2, -1, 0, 4
Let y(i) = -9980*i + 89823. Let d be y(9). What is o in 0*o - 6/11*o**4 + 0*o**d + 8/11*o**2 - 2/11*o**5 + 0 = 0?
-2, 0, 1
Suppose 49*q = -29*q. Let r(t) be the first derivative of 9/28*t**4 + 0*t + q*t**2 + 23 + 1/7*t**3. Let r(l) = 0. What is l?
-1/3, 0
Let w(f) be the third derivative of 0*f**3 - 1/20*f**4 + 2 + 31*f**2 - 1/50*f**6 + 1/20*f**5 + 0*f + 1/350*f**7. Factor w(u).
3*u*(u - 2)*(u - 1)**2/5
Suppose -3*h = 4*l - 5, -3*h + 4*h = -5. Suppose j - 2*i + 36 = l*j, -2*j - 5*i + 26 = 0. Let -j*m - 7*m + m**2 + 2 + 18*m = 0. What is m?
-2, -1
Let r(p) be the third derivative of p**7/8820 - p**6/630 - p**5/35 - 3*p**4 - 29*p**2. Let n(v) be the second derivative of r(v). Factor n(j).
2*(j - 6)*(j + 2)/7
Let b(s) be the second derivative of -s**4/60 + 32*s**3/5 + 194*s**2/5 - 5*s + 390. Factor b(c).
-(c - 194)*(c + 2)/5
Factor 4 - 30/7*m**3 + 26/7*m - 32/7*m**2.
-2*(m + 1)**2*(15*m - 14)/7
Factor 40*h**2 - 10*h**2 - 2304324 + 6072*h - 34*h**2.
-4*(h - 759)**2
Suppose -37*f + 27*f + 30 = 0. Determine v, given that -6 - 6 + v**2 - 6*v + 2*v**3 - v**f - 2*v = 0.
-2, 3
Let l be (22/112 - (-40)/(-320))*80/20. Find z such that -12/7*z + l*z**2 - 2 = 0.
-1, 7
Let d(h) be the third derivative of -h**5/60 + 221*h**4/12 + 443*h**3/6 + 12*h**2 - 2*h. Let d(i) = 0. What is i?
-1, 443
Factor -2/9*g**3 + 20/9*g - 16/9 - 2/9*g**2.
-2*(g - 2)*(g - 1)*(g + 4)/9
Let t = 101323/7506 - -4/3753. Suppose 3/4*n**3 + 99/4*n + t*n**2 + 12 = 0. Calculate n.
-16, -1
Suppose -2*u = -q - 23, 3*u + 13 = 4*u - 2*q. Suppose u*f - 20*f + 108 = 0. Solve -16*h + f*h**3 + 0*h**4 - 4*h**4 + 8*h**4 = 0 for h.
-2, 0, 1
Let y(s) = s**2 + 2 + 23*s + 0*s**3 - 13*s**2 - 12*s + s**3. Let j be y(11). Suppose 0*v**j + 1/2*v**3 - 1/2*v + 0 = 0. Calculate v.
-1, 0, 1
Let r = -79 - -96. Suppose r*n**3 - n**4 - 33*n**3 - 3*n**4 = 0. What is n?
-4, 0
Let y = 7/12 - 1/4. Let u = -7023 - -7023. Suppose u*k**2 + 1/6*k**3 + y - 1/2*k = 0. What is k?
-2, 1
Suppose -4*s**5 + 8*s**4 + 820973*s**3 - 820873*s**3 + 32*s**4 - 96*s - 40*s**2 = 0. Calculate s.
-2, -1, 0, 1, 12
Let p be (2 - -3)*68/238. Let i(s) be the first derivative of -38 - 17/7*s**2 - 3/14*s**4 - 12/7*s - p*s**3 + 2/35*s**5. Suppose i(u) = 0. Calculate u.
-1, 6
Find q, given that -1704*q**3 - 2*q**5 + 419*q**3 - 1585*q**2 - 118*q**4 - 217*q**4 - 366*q - 264*q - 3*q**5 = 0.
-63, -2, -1, 0
Let h(u) be the second derivative of 17*u**7/1120 - u**6/240 - 71*u**3/6 - u - 8. Let v(x) be the second derivative of h(x). Suppose v(j) = 0. Calculate j.
0, 2/17
Suppose 4*i = 4*k - 76, 4*k + k + i - 107 = 0. Let c be (63/k)/(6/4). Suppose -1/4*u + 0 - 1/4*u**c = 0. What is u?
-1, 0
Let i = -1451146/3 - -483719. Determine g so that -1/3*g**2 - i*g - 28/3 = 0.
-7, -4
Suppose 9*s = 45*s - 432. Suppose 4*l + 10 = 5*i, s*i - 7*i = -5*l + 10. Factor 0 + 1/3*b**i + 0*b.
b**2/3
Let f(u) = 2*u**2 + 7*u - 27. Let w be f(-6). Determine c, given that -2*c**5 + 2*c**3 + 2*c**4 - 8*c**2 + 0*c**3 + 7*c**3 - c**w = 0.
-2, 0, 1, 2
Find d, given that -10935 + 18787*d + 2*d**3 - 21622*d - 91*d**2 - 7*d**3 - 134*d**2 = 0.
-27, -9
Factor -209952/11 + 1/11*b**3 + 106272/11*b - 650/11*b**2.
(b - 324)**2*(b - 2)/11
Let i be 21*((-16)/3 - -7). Suppose 0 = -i*t - 0*t + 140. Solve 5/6*v**3 + 4/3 - 1/6*v**t - v**2 - 2/3*v = 0 for v.
-1, 2
Suppose 186*a - 105*a - 67*a = 0. Factor a*u**2 + 0 - 3/2*u**3 + 6*u.
-3*u*(u - 2)*(u + 2)/2
Factor -635/7*s + 1/7*s**2 + 1266/7.
(s - 633)*(s - 2)/7
Let y be -1 - ((-81)/27 - 0/1). Factor 0*m**4 - m + 16*m**2 + 0*m + 7*m**3 + 4*m**4 - 14*m**y.
m*(m + 1)**2*(4*m - 1)
Suppose i = -4*o - 3*i + 48, 5*i - 28 = -3*o. Suppose o = -50*l + 54*l. Solve -100 - 140*a - 14*a**3 + 7*a**4 + 10*a**4 - 69*a**2 - 18*a**l = 0 for a.
-5, -2
Let l(r) be the first derivative of -2*r**3/51 - 310*r**2/17 - 48050*r/17 + 224. Factor l(a).
-2*(a + 155)**2/17
Let a = -442 - -449. Factor 3*y + 39*y - y**2 + 21*y + a*y - 1225.
-(y - 35)**2
Let b = 86 + -83. Let k = -1100 - -1100. Factor k*p**2 + 0 - 1/3*p**5 - 2/3*p**4 + 0*p + 0*p**b.
-p**4*(p + 2)/3
Suppose 2214*p**2 - 8 - 1104*p**2 - 1120*p**2 + 14*p**3 - 32*p = 0. What is p?
-1, -2/7, 2
Factor 56/11*q - 490/11 + 2/11*q**2.
2*(q - 7)*(q + 35)/11
Let i = 3908 + -832402/213. Let y = 278/639 + i. Factor -y*t**2 + 2/9*t**3 - 8/9 - 14/9*t.
2*(t - 4)*(t + 1)**2/9
Suppose -28*k + 21*k = -56. Let x be (2 + (-6)/(-8) + -2)*k. Factor 2*o**4 - 9*o**5 + x*o**3 - 12 + o**4 + 12.
-3*o**3*(o - 1)*(3*o + 2)
Suppose -3*f + 8 = 4*x, -3*x + 4*x - 3*f - 2 = 0. Let a be 0/(x*((-18)/(-4) - 3)). Factor a*h - 1/6*h**4 + 1/6*h**2 - 1/6*h**3 + 1/6*h**5 + 0.
h**2*(h - 1)**2*(h + 1)/6
Let u(l) = 2*l**2 + 60*l + 34. Let w be u(-29). Let t(p) = p - 3. Let r(o) = 4*o**2 - 144*o - 52. Let f(x) = w*t(x) - r(x). Solve f(y) = 0.
-1, 31
Let r(u) be the first derivative of 32/5*u**2 - 31 - 64/5*u - 7/10*u**4 + 4/5*u**3 + 2/25*u**5. Factor r(x).
2*(x - 4)**2*(x - 1)*(x + 2)/5
Let b(v) be the third derivative of -1/120*v**6 - 9*v + 0*v**5 - 1/3*v**3 + 0 + 1/8*v**4 + 2*v**2. Factor b(g).
-(g - 1)**2*(g + 2)
Let k(x) be the third derivative of -x**8/84 - 16*x**7/35 - 17*x**6/6 - 34*x**5/5 - 20*x**4/3 + x**2 + 2. Solve k(r) = 0.
-20, -2, -1, 0
Let b = -177756 + 1244332/7. Solve -2/7*z**3 - b*z**2 + 86/7*z - 44/7 = 0 for z.
-22, 1
Let v(p) be the first derivative of -5*p**6/6 + 32*p**5 - 390*p**4 + 4480*p**3/3 - 1960*p**2 + 1056. Factor v(a).
-5*a*(a - 14)**2*(a - 2)**2
Let j(p) be the second derivative of 0*p**2 + 0*p**4 - 10*p - 1/50*p**6 + 0*p**5 + 0 - 1/70*p**7 + 0*p**3. Suppose j(d) = 0. What is d?
-1, 0
Find u such that -2/3*u**2 + 1090/3*u + 0 = 0.
0, 545
Suppose 0 = z + 12*z - 897. Let x = -66 + z. Find u such that -3/4*u**x + 0 - 1/4*u - 1/4*u**4 - 3/4*u**2 = 0.
-1, 0
Let f(k) be the first derivative of 324*k - 92 + 1/3*k**3 - 18*k**2. Factor f(z).
(z - 18)**2
Let h(f) be the first derivative of 10*f + 86 + 15/4*f**4 | {
"pile_set_name": "DM Mathematics"
} |
at is 23 + 4.557201?
27.557201
Work out -2885.33 - 1325.
-4210.33
What is -952 plus 94.92?
-857.08
Add together 24.723883 and 6.
30.723883
What is -3.690669 minus -0.12?
-3.570669
What is -30268544.06 take away -0.18?
-30268543.88
What is the distance between -49364 and 3.26531?
49367.26531
What is 5 - -18.31579?
23.31579
What is 0.1 minus -2313.6887?
2313.7887
What is 68831778 minus 5?
68831773
Add together 33.34 and -7413.
-7379.66
What is the distance between -45956584 and 14.6?
45956598.6
Calculate -15 - 851631423.
-851631438
Calculate -2317 + 2300.966.
-16.034
-9.478501 - 0.01
-9.488501
Sum 54 and -0.0479931198.
53.9520068802
Work out 287358885 - 0.05.
287358884.95
0.0141073342 - 20
-19.9858926658
Add together -0.16188 and -9.8986.
-10.06048
Sum -0.4 and -138.50748287.
-138.90748287
3.44+-401074775
-401074771.56
What is -153 - 4749340?
-4749493
What is -11258718 + -0.5?
-11258718.5
What is -0.11 take away -1505.69765?
1505.58765
Sum 0.2 and -0.07496430447.
0.12503569553
What is 164.748593 - 28?
136.748593
Total of -4610739.314 and -5.
-4610744.314
Subtract 9593 from 2855.
-6738
-311201 - 57
-311258
What is -2764535 take away 0.02169?
-2764535.02169
86.634 - 59396
-59309.366
What is the difference between -2 and 10531170109?
10531170111
What is -1127.6875 - 19.6?
-1147.2875
11003+103709
114712
Work out -321504906 + 1.
-321504905
Total of -228854 and 0.51.
-228853.49
What is the difference between 37205 and -6?
37211
What is -2579.8896 take away -0.07?
-2579.8196
What is -113.1 + -2399833?
-2399946.1
Put together -0.108 and 0.5373119.
0.4293119
What is the distance between 0.104968 and 44610?
44609.895032
What is -1.2887 minus 38569?
-38570.2887
-0.24636 - 202.2
-202.44636
What is 52094 - -0.295109?
52094.295109
Sum 0.3 and 365815.
365815.3
-28571094 - 3
-28571097
-0.37+-0.140642
-0.510642
Calculate 102683095 + 0.4.
102683095.4
Calculate 166.98 - 16581.
-16414.02
What is -9519366 - 0.1855?
-9519366.1855
Put together -0.640482 and -41.
-41.640482
-791 + 0.003696187
-790.996303813
What is 0.4 take away -32231105?
32231105.4
What is -0.0868 plus 5.105?
5.0182
Work out 0.044510615 - 0.19.
-0.145489385
4345868 + 732
4346600
What is 13 + 1.41259302?
14.41259302
51296668 + 0
51296668
Sum -0.1 and 178314322.07.
178314321.97
Sum 17470 and 0.
17470
What is -3 - -46458747.2?
46458744.2
What is -0.02 take away 29.3773?
-29.3973
Calculate 0.4 + 20.258059.
20.658059
Put together -7 and -2998830.35.
-2998837.35
What is 26601.4 plus 0.171305?
26601.571305
What is 4513388 + -6?
4513382
Calculate -0.171 + 39688720.
39688719.829
What is the distance between -3.749 and -9608897?
9608893.251
Add 125577.05 and 1142.
126719.05
6.9 + -277056.3
-277049.4
What is the difference between -106.17845 and 0.3?
106.47845
Total of -15042769910 and -0.2.
-15042769910.2
170401947.9 - -0.1
170401948
-33135177+-4
-33135181
What is 0 plus 147.6626?
147.6626
Subtract -0.094 from 7.27671.
7.37071
Subtract 718859.24 from -0.06.
-718859.3
Calculate -0.02 - -38398.1779.
38398.1579
-168774 - 0.026509
-168774.026509
What is 63139164 less than 0.034?
-63139163.966
Calculate -580468 - 0.482.
-580468.482
What is the difference between 973595 and -9.35?
973604.35
What is 0.1397 minus 0.995?
-0.8553
Total of -36290 and 92.82.
-36197.18
Work out 58019449 + -30.
58019419
Add -874340 and 395.
-873945
What is the distance between -0.4 and 13602959?
13602959.4
What is 238472245 less than -209?
-238472454
Work out -166836.8 + 1.76.
-166835.04
What is the distance between -78309 and 0.03961?
78309.03961
-624961+0.099
-624960.901
What is 1179010.851 minus 0.3?
1179010.551
91 + -0.4470326
90.5529674
Calculate -1004.55 - -0.006572.
-1004.543428
Calculate 2.1195421 - -33.
35.1195421
Total of -0.5 and 0.09749082.
-0.40250918
What is 0.073172 + 664?
664.073172
What is -3411173.6 less than -0.5?
3411173.1
Work out 0.12766518 + -48.
-47.87233482
What is 13278.436 less than 1?
-13277.436
What is -30153.0423 minus 0.04?
-30153.0823
Total of -451663 and -2613.
-454276
What is 0 plus -13229350?
-13229350
What is -36411671 take away 0.4?
-36411671.4
Add together -0.000022 and -14040.
-14040.000022
What is -6.5 take away 330.426041?
-336.926041
What is the distance between -8.327380073 and -7?
1.327380073
3+-9398211364
-9398211361
Total of -0.16 and -502256.48.
-502256.64
Add 36 and 208929377.
208929413
Work out -802 + -112181.
-112983
Add 214.64 and -1351.
-1136.36
What is the difference between 49961172 and 4?
49961168
What is 0.1 + 27885045.153?
27885045.253
What is -33332 less than 5?
33337
Work out 0.3815 - 57.
-56.6185
Calculate -0.02691 - -60259.9.
60259.87309
What is -0.5 take away -9129416391?
9129416390.5
Sum 148.03 and 0.058452.
148.088452
What is 211354 take away -10.29?
211364.29
What is the distance between 424760768 and -2?
424760770
Subtract 0.4 from -156571272.
-156571272.4
Add 10 and -2440015.
-2440005
What is 1423 take away -0.02057?
1423.02057
What is -6.3 take away 60412?
-60418.3
Calculate -85795449 - -6.
-85795443
1.077 + -3.4701
-2.3931
Calculate 0.4 - 52288522.
-52288521.6
-23 - 187.87748
-210.87748
Add together 45.2413 and -0.67.
44.5713
Subtract -5269 from -54106.
-48837
What is -5922.8 take away -2017?
-3905.8
Calculate -0.31 + 1567410.
1567409.69
Sum -0.116 and -151.483.
-151.599
What is -872.4051 take away 51?
-923.4051
Total of 2.09463 and 13.
15.09463
Work out -10216 - -76007.
65791
What is 4335797035 less than 0.6?
-4335797034.4
Total of 0.882446 and 183.9.
184.782446
Work out 1998221 + 0.13.
1998221.13
Work out 40.4174 - 425.
-384.5826
Add 4789 and -21390.5.
-16601.5
Work out -4 + 1016598069.
1016598065
Subtract -0.131 from -3.4063879.
-3.2753879
-0.2 - 19231.0086
-19231.2086
Work out -0.2232 + -212099.8.
-212100.0232
What is 907703 - 24?
907679
Put together -22.886918 and -0.33.
-23.216918
-6324970 + 0.3
-6324969.7
Work out -0.15679568 - 0.3.
-0.45679568
What is 307571 minus 0.03222?
307570.96778
What is -3425.6 - -2086?
-1339.6
Work out -0.08247 + 12.591.
12.50853
Calculate 65977472240 - 0.5.
65977472239.5
What is the difference between -0.083 and 78915?
78915.083
215333+-0.373
215332.627
Work out 99374 + 565.
99939
Calculate -79.84449 - -2.
-77.84449
Put together 10221.5568 and -1548.
8673.5568
Put together 6547465 and -16.
6547449
What is 52.46575 minus 0.117?
52.34875
Calculate -82684413.66 + 0.
-82684413.66
Sum -6275281 and 5.
-6275276
What is the difference between -5258 and 0.06192?
5258.06192
What is the distance between -80959 and -62?
80897
Put together -0.0875 and -0.0468552.
-0.1343552
-1953 - -1.4443
-1951.5557
Calculate 0.189 - -99397.
99397.189
Put together -423 and 271175.9.
270752.9
Work out 765167 + 121.
765288
Subtract -1 from -751.371725.
-750.371725
What is -0.46 take away 43711?
-43711.46
What is 12973 minus -230.15?
13203.15
Total of -49458866495 and 2.
-49458866493
What is 19314 less than -0.023934?
-19314.023934
What is the difference between 191620044 and 1?
191620043
What is -0.03 minus 67788140?
-67788140.03
Calculate 102 + -165048.6.
-164946.6
What is 852 - 22807?
-21955
Sum -17.88 and -1480988.9.
-1481006.78
Sum 9683 and -0.08986.
9682.91014
What is -320856 less than -0.037?
320855.963
What is 159.41 minus 1632?
-1472.59
Sum 4789212 and -85.9.
4789126.1
What is -11018771 less than -0.3?
11018770.7
Add -52.44 and 774604.
774551.56
What is 0.1788352 + -0.547?
-0.3681648
Work out 16573.4 - 3181.
13392.4
23344.0114 - 0.09
23343.9214
Calculate -11.47 + 2133.
2121.53
What is -0.29205023 less than -1.2?
-0.90794977
8936.211+1.1
8937.311
What is -177 plus -809.7878?
-986.7878
What is -0.3 + -245455.2?
-245455.5
Add 8.4 and -2558.
-2549.6
Put together -4801.82655 and -0.1.
-4801.92655
Work out 508494 + 1668.6.
510162.6
What is 24643 take away -492?
25135
Work out -11.3409 + 1666.
1654.6591
Work out -75.78302 - 262.
-337.78302
Total of -238678290 and -0.5.
-238678290.5
Put together 669 and -1470.26.
-801.26
Work out 15414535 + -19.
15414516
Calculate 22805 - -306.
23111
What is -300075 less than -5.23?
300069.77
10373 - -12803
23176
Work out 760676256 + 0.3.
760676256.3
Calculate -0.4 + -11979855826.
-11979855826.4
What is 0.5 - 10667132?
-10667131.5
What is -0.4 minus 1.9235703?
-2.3235703
Work out 0.08663979876 - 4.
-3.91336020124
Put together -3497 | {
"pile_set_name": "DM Mathematics"
} |
))?
2
Let t(v) = 37*v - 78. What is the tens digit of t(5)?
0
Let l be (1/(-2))/(1/(-38)). Suppose -3*q + 4*j + l = 0, 0 = -2*q + j + 6. What is the tens digit of (-18)/(-1) - (q - -2)?
1
What is the tens digit of 171972/42 + -4 + (-8)/14?
9
Let k = -9 + 19. Suppose 2*t = -2*r - 0*r + k, r - 20 = -4*t. Suppose r*o = o - 3. What is the units digit of o?
3
Let t be (-70)/15*-6 - 1. Suppose 0 = -r - 12 + t. What is the units digit of r?
5
Let n be 64/40 + (-4)/(-10). Let d = -1 + n. Suppose -d = 2*r - 13. What is the units digit of r?
6
What is the units digit of (90/48)/(-15)*-8552?
9
Suppose 8*n = 2*n + 12. Suppose i + 3*y = 1, n*i - 18 - 6 = 5*y. What is the units digit of ((-12)/(-21))/(2/i)?
2
Let p be 0 + (4 - (-1 - -2)). Suppose 0 = -2*d + p*w + 179, 3*w + 458 = 4*d + 109. What is the tens digit of d?
8
Let m(f) = -2*f - 15. Let i be m(-10). Suppose -15 = -i*j, 5*a - 163 + 27 = -2*j. What is the tens digit of a?
2
Suppose 2*c - 6 + 2 = 0. Suppose 19 + 1 = 5*o, 38 = c*p - 3*o. Suppose 3*h = 89 + p. What is the tens digit of h?
3
Let o = 4 - 1. Let p(t) = 3*t + 76. Let w be p(-24). Suppose c - 4 = -o*a, -4*c + 0*a = -w*a - 32. What is the units digit of c?
7
Let k = 29 + -26. Let b(w) = 4*w**2 - 2*w - 3. Let o be b(-2). Let y = k + o. What is the units digit of y?
0
Let i(f) be the first derivative of -f**3/3 + 7*f**2/2 + 2*f + 6. Let t be i(8). Let g = t + 12. What is the units digit of g?
6
Suppose -4*a - 4*d - 16 = -0, 3*a + 2*d + 7 = 0. Let b be (-1 + -41 + 4)/a. Let i = -17 - b. What is the units digit of i?
1
Let p(g) = g**3 - 4*g**2 - 10*g - 12. Let c be p(6). Suppose 0*n - 141 = -2*n - 3*k, -4*n + 5*k + 227 = c. What is the tens digit of n?
6
Suppose -8*j - 2*j + 1490 = 0. What is the hundreds digit of j?
1
Let f = 25 - 21. Let g(o) = o**3 + 9*o**2 - 12*o - 2. Let p be g(-10). Suppose -f*v = -2*v - p. What is the units digit of v?
9
Suppose 4*f - 1848 - 196 = 0. Suppose 5*c - 864 = -4*u, 3*u - f - 137 = -5*c. What is the hundreds digit of u?
2
Let j be (-3)/(-2)*(-2 + -42). Suppose 0 = 10*n + 81 + 169. Let v = n - j. What is the units digit of v?
1
Let d = -3714 - -5387. What is the units digit of d?
3
Let m(r) = -r**3 - 14*r**2 + 29*r + 7. Let u be m(-16). Suppose -5*t + 6*t - u = -3*h, 0 = -h + 5*t + 13. What is the tens digit of h?
1
Let c(k) = -2*k**3 + 7*k**2 + 5*k + 5. Let y(d) = -d**3 + d**2 + d + 1. Let o(b) = c(b) - y(b). What is the tens digit of o(6)?
2
Suppose -3*s - 2 + 6 = 5*c, 4 = s - c. Suppose -20 = -8*w + s*w. Suppose w*t - t - 84 = 0. What is the units digit of t?
8
Suppose -4*n = -7492 + 1856. What is the units digit of n?
9
Let q(o) = 436*o**2 - 10*o + 2. What is the hundreds digit of q(-2)?
7
What is the tens digit of (-21)/(-3)*1 - 17985/(-15)?
0
Let n = -626 + 931. What is the units digit of n?
5
What is the units digit of 6*2/(-3) - (-1557 + 1)?
2
What is the tens digit of (-30919)/(-294) + (-5)/(-6)?
0
Let i(t) = -12*t**2 + 7*t - 3 - 3*t + 70*t**2. What is the tens digit of i(1)?
5
Let y(d) = d**2 + 22*d + 29. Let v be (-20)/25*(-110)/(-4). What is the tens digit of y(v)?
2
Suppose -3*p + 1 + 2 = 0, -t = -3*p + 33. Let l = t - -33. Suppose -2*g = -g + 2*f - 19, 147 = 5*g - l*f. What is the tens digit of g?
2
Suppose 0*y - 18 = -3*y. Let i(n) be the second derivative of n**4/6 - 7*n**3/6 - 4*n**2 - 12*n. What is the units digit of i(y)?
2
Suppose 0 = 108*r - 113*r + 190. Suppose 0 = -2*s + 160 + r. What is the units digit of s?
9
Suppose 12*s - 9*s - 174 = -3*j, 5*s - j - 260 = 0. What is the tens digit of s?
5
Suppose 1 + 0 = r, 41 = -4*q - 3*r. Let f(a) = -a**3 - 9*a**2 + 16*a - 4. What is the units digit of f(q)?
2
Let z be ((-9)/(-11) - 1) + (-8)/(-44). Suppose -156 = -3*o - g, 216 = 4*o + 4*g - z*g. What is the units digit of o?
1
Let i = 1260 + -628. What is the hundreds digit of i?
6
Suppose -4*g - 4*h = -0*g - 1748, 0 = -4*g - 3*h + 1751. What is the hundreds digit of g?
4
Let a = 25 - 23. Suppose -5*t = -a*t - 51. What is the tens digit of t?
1
Let j be 1662/(-3*(-8)/12). Suppose -17*r + 597 = -j. What is the units digit of r?
4
Let d(v) = v**3 + 3 - 14*v - 3*v + 1 - 3*v**2 + 8*v. Let z be d(6). Suppose -4*c + 94 = l + l, 0 = 3*c - l - z. What is the units digit of c?
1
Let h(m) = 0*m - 4*m + 8*m - 5 + 3*m + m**2. Let z(v) = 3*v - 17. Let w be z(7). What is the units digit of h(w)?
9
Suppose -t + 0*b = -b - 11, -4*b - 20 = 0. Suppose 14 = 2*f - 4*w, t = -f - 4*w + 1. Suppose -y + 11 = 5*l, 18 = 2*l - 0*y - f*y. What is the units digit of l?
3
Let r = 45 + -44. Let v(m) = 11*m**2 + 2*m. What is the units digit of v(r)?
3
Let b be ((140/16)/(-7))/((-1)/8). Let x(i) = 2*i - 11. What is the units digit of x(b)?
9
Let l(y) = y**2 + 4*y + 1. Let k be (-8 - -1)/(3/(-9)). Suppose 3*u - 6*u = k. What is the tens digit of l(u)?
2
Let p(i) = i**3 + 20*i**2 - 35*i + 20. What is the hundreds digit of p(-10)?
3
Let f(z) = z**2 - 16*z - 12. Let i(y) = -y**2 + 13*y + 22. Let t be i(13). What is the tens digit of f(t)?
2
What is the tens digit of (-1)/(-5 - -2)*1422/6?
7
Let z = -12288 - -17495. What is the tens digit of z?
0
Suppose 54 - 2322 = -6*d. What is the tens digit of d?
7
What is the hundreds digit of (4 - 11345/(-25)) + 3/15?
4
Suppose 0 = -35*q + 30*q + 2225. What is the hundreds digit of q?
4
Let b = 16 - -59. Suppose 3*p = -0 + b. Let t = p + 6. What is the units digit of t?
1
Let f(j) = -2*j**3 - 12*j**2 - 14*j. What is the units digit of f(-7)?
6
Suppose b = 5*k - k + 2163, 2*k - 4356 = -2*b. What is the hundreds digit of b?
1
Let o = -12 - -8. Let w = o - -7. Let y = 10 - w. What is the units digit of y?
7
Suppose -128 = 6*x - 7*x. What is the units digit of x?
8
Let r = 1 + 20. Let o = 23 - r. Suppose -2*d - 146 = -4*q, 4*q = q + o*d + 111. What is the tens digit of q?
3
Let o(y) = -2*y + 12. Let x be o(20). What is the tens digit of (-8)/x - (0 - 103/7)?
1
Let z(o) = -o**2 - 1. Let x(r) be the first derivative of -4*r**3/3 + 2*r**2 - 2*r + 4. Let i(j) = -x(j) + 2*z(j). What is the units digit of i(4)?
6
Let i = -33 - -53. Suppose 3*q - i = -4*l, 0*l - 4*l = -3*q - 20. What is the units digit of l?
5
Let v(k) = 2. Let o(a) = 2*a + 41. Let d(j) = 2*o(j) - 6*v(j). What is the tens digit of d(0)?
7
Let i = -99 + 99. Suppose 2*n = 2*r + 156, 4*n + 0*r + 3*r - 333 = i. What is the tens digit of n?
8
Let x(j) = 2*j - 1. Let t be x(2). Let r(p) = -21*p - 69. Let y be r(-5). Let f = t + y. What is the tens digit of f?
3
Suppose -f + 125 = -u + 4*u, -f - 2*u + 124 = 0. What is the tens digit of f?
2
Let f = 2109 + 1533. What is the units digit of f?
2
Suppose 0 = 3*n + a - 8, 4*a + 20 = 5*n - a. Suppose -n*y + 82 = -290. What is the tens digit of y?
2
Let z be 0/((-11)/33*(7 - 1)). Suppose -5*g - 5*n + 7*n = -315, 3*n = z. What is the units digit of g?
3
Let c be 6/(2 + 33/(-15)). Let f = 75 + c. What is the units digit of f?
5
What is the units digit of ((-6900)/(-161))/((-2)/(-28))?
0
Suppose 51 = -4*z - 17. Let r(v) = v**2 + 14*v - 22. Let o be r(z). Suppose 2*p + 6 = 0, -2*p - o = -5*j + 4*j. What is the units digit of j?
3
Let o be 0 + 10 + -5 - 1. Suppose -2*x - o*p = -388, 2*p = 11*x - 14*x + 586. What is the hundreds digit of x?
1
Let i(q) = -732*q**3 + 2*q**2 - 16*q - 26. What is the units digit of i(-2)?
0
Let z = 11 - -4. What is the units digit of z*(-2)/(-6)*2?
0
Suppose 6 = 3*i - 6. Suppose 77 = i*a - 563. What is the hundreds digit of a?
1
Suppose -4*b - 42 + 38 = 0. What is the units digit of 159/3 + b + -1?
1
Let f(a) = -5*a - 29. Let x be f(-7). Suppose 11*l - 650 = x*l. What is the tens digit of l?
3
Let c(r) = r**3 - 3*r**2 - 15*r + 9. Let i(l) = l**2 - 1. Let s(p) = -c(p) + 6*i(p). What is the units digit of s(10)?
5
Let i = 121 - 19. Suppose 6*r = -x + 3*r + 31, i = 4*x + r. What is the units digit of x?
5
Let a be -34 + (-4 - (0 - 4)). Let j = a + 53. What is the tens digit of j?
1
Suppose 2*y - 11*y + 45 = 0. Suppose y*g = 11*g - 882. What is the tens digit of g?
4
Let b(v) = 36*v - 28. Let q be b(7). Let f = q - 89. What is the tens digit of f?
3
Let a = 15 + -13. Let u(h) = -4*h**2 - 13*h + 5. Let m(y) = y**2 + 3*y - 1. Let l(i) = a*u(i) + 9*m(i). What is the units digit of l(0)?
1
Suppose -m = -2*m + 159. Let y = m - 92. What is the tens digit of y?
6
Suppose -2*l = -2*i + 168 | {
"pile_set_name": "DM Mathematics"
} |
3 PM?
327
How many minutes are there between 1:49 AM and 4:01 AM?
132
How many minutes are there between 7:38 AM and 4:33 PM?
535
What is 341 minutes before 2:18 PM?
8:37 AM
How many minutes are there between 7:59 PM and 7:48 AM?
709
What is 376 minutes after 8:13 AM?
2:29 PM
What is 391 minutes before 2:14 AM?
7:43 PM
How many minutes are there between 12:49 PM and 1:03 PM?
14
How many minutes are there between 1:54 AM and 11:43 AM?
589
What is 669 minutes after 11:42 PM?
10:51 AM
What is 40 minutes after 11:39 PM?
12:19 AM
What is 665 minutes before 7:23 AM?
8:18 PM
What is 557 minutes after 5:21 AM?
2:38 PM
How many minutes are there between 8:51 PM and 4:10 AM?
439
How many minutes are there between 3:15 PM and 1:40 AM?
625
What is 564 minutes before 9:59 AM?
12:35 AM
What is 19 minutes after 11:23 PM?
11:42 PM
What is 371 minutes before 4:02 PM?
9:51 AM
How many minutes are there between 4:10 PM and 4:21 PM?
11
What is 88 minutes before 8:57 AM?
7:29 AM
What is 175 minutes before 12:05 AM?
9:10 PM
What is 128 minutes after 2:11 AM?
4:19 AM
What is 605 minutes before 7:03 PM?
8:58 AM
What is 50 minutes before 3:19 AM?
2:29 AM
How many minutes are there between 12:51 PM and 12:30 AM?
699
How many minutes are there between 12:31 AM and 12:45 AM?
14
How many minutes are there between 12:27 AM and 8:32 AM?
485
How many minutes are there between 12:18 AM and 12:57 AM?
39
What is 148 minutes after 8:43 PM?
11:11 PM
What is 264 minutes after 7:56 PM?
12:20 AM
What is 176 minutes before 11:31 AM?
8:35 AM
How many minutes are there between 5:26 AM and 8:22 AM?
176
How many minutes are there between 4:04 PM and 11:23 PM?
439
What is 366 minutes after 8:47 AM?
2:53 PM
How many minutes are there between 7:03 AM and 4:16 PM?
553
How many minutes are there between 11:58 AM and 6:46 PM?
408
What is 300 minutes before 2:17 PM?
9:17 AM
How many minutes are there between 5:56 AM and 6:56 AM?
60
What is 135 minutes after 11:00 AM?
1:15 PM
What is 664 minutes after 11:17 AM?
10:21 PM
How many minutes are there between 11:00 AM and 12:42 PM?
102
How many minutes are there between 10:38 PM and 1:39 AM?
181
How many minutes are there between 2:27 AM and 7:49 AM?
322
What is 704 minutes before 5:46 PM?
6:02 AM
What is 323 minutes after 9:36 PM?
2:59 AM
What is 246 minutes after 10:48 AM?
2:54 PM
What is 432 minutes before 6:28 AM?
11:16 PM
What is 539 minutes before 5:34 AM?
8:35 PM
How many minutes are there between 8:30 AM and 10:25 AM?
115
How many minutes are there between 5:44 AM and 4:08 PM?
624
What is 67 minutes after 2:35 AM?
3:42 AM
How many minutes are there between 5:11 AM and 7:44 AM?
153
What is 480 minutes before 8:09 PM?
12:09 PM
What is 456 minutes before 2:54 PM?
7:18 AM
How many minutes are there between 6:03 AM and 4:15 PM?
612
How many minutes are there between 8:12 PM and 10:59 PM?
167
What is 264 minutes after 3:12 AM?
7:36 AM
How many minutes are there between 8:00 AM and 10:12 AM?
132
What is 630 minutes after 11:34 PM?
10:04 AM
What is 149 minutes before 4:41 PM?
2:12 PM
What is 664 minutes after 5:22 PM?
4:26 AM
What is 444 minutes before 5:12 AM?
9:48 PM
How many minutes are there between 4:44 PM and 4:32 AM?
708
How many minutes are there between 9:58 PM and 1:54 AM?
236
What is 670 minutes before 11:03 PM?
11:53 AM
What is 191 minutes before 12:03 AM?
8:52 PM
How many minutes are there between 12:22 AM and 10:49 AM?
627
How many minutes are there between 1:10 AM and 12:12 PM?
662
How many minutes are there between 7:36 AM and 1:31 PM?
355
What is 44 minutes after 9:50 AM?
10:34 AM
How many minutes are there between 11:16 PM and 1:16 AM?
120
How many minutes are there between 3:55 AM and 10:40 AM?
405
How many minutes are there between 10:08 AM and 6:53 PM?
525
How many minutes are there between 10:18 PM and 2:33 AM?
255
What is 33 minutes before 5:40 AM?
5:07 AM
What is 144 minutes after 5:20 PM?
7:44 PM
How many minutes are there between 11:47 PM and 8:09 AM?
502
What is 39 minutes before 5:08 AM?
4:29 AM
How many minutes are there between 7:39 AM and 8:41 AM?
62
How many minutes are there between 11:47 PM and 10:31 AM?
644
How many minutes are there between 2:21 PM and 2:01 AM?
700
What is 599 minutes after 4:10 PM?
2:09 AM
What is 709 minutes before 4:37 PM?
4:48 AM
How many minutes are there between 6:08 PM and 5:52 AM?
704
What is 591 minutes after 7:11 AM?
5:02 PM
How many minutes are there between 7:30 PM and 12:45 AM?
315
How many minutes are there between 3:32 AM and 11:10 AM?
458
How many minutes are there between 11:45 PM and 2:02 AM?
137
How many minutes are there between 4:44 AM and 3:56 PM?
672
How many minutes are there between 2:18 AM and 10:39 AM?
501
How many minutes are there between 8:30 PM and 4:40 AM?
490
How many minutes are there between 10:57 PM and 7:37 AM?
520
How many minutes are there between 11:27 AM and 4:23 PM?
296
How many minutes are there between 5:38 AM and 1:46 PM?
488
What is 530 minutes before 5:41 AM?
8:51 PM
What is 88 minutes after 5:55 AM?
7:23 AM
What is 535 minutes after 2:35 PM?
11:30 PM
What is 591 minutes after 3:33 AM?
1:24 PM
How many minutes are there between 7:35 PM and 12:45 AM?
310
What is 186 minutes before 11:46 PM?
8:40 PM
How many minutes are there between 8:55 PM and 3:45 AM?
410
What is 639 minutes before 8:52 PM?
10:13 AM
What is 141 minutes after 1:43 AM?
4:04 AM
What is 317 minutes after 10:36 PM?
3:53 AM
What is 429 minutes after 4:36 AM?
11:45 AM
How many minutes are there between 1:52 PM and 12:39 AM?
647
What is 611 minutes after 1:55 PM?
12:06 AM
How many minutes are there between 9:28 PM and 3:13 AM?
345
What is 419 minutes after 11:46 AM?
6:45 PM
How many minutes are there between 1:41 AM and 9:07 AM?
446
How many minutes are there between 4:22 PM and 3:54 AM?
692
What is 388 minutes before 2:05 PM?
7:37 AM
How many minutes are there between 7:06 AM and 12:01 PM?
295
What is 48 minutes before 8:54 AM?
8:06 AM
What is 702 minutes before 2:20 AM?
2:38 PM
What is 385 minutes after 4:44 PM?
11:09 PM
What is 270 minutes before 2:35 PM?
10:05 AM
What is 53 minutes before 6:46 PM?
5:53 PM
How many minutes are there between 10:28 AM and 4:21 PM?
353
How many minutes are there between 3:00 PM and 8:41 PM?
341
What is 11 minutes before 2:36 AM?
2:25 AM
How many minutes are there between 4:08 PM and 10:07 PM?
359
What is 165 minutes after 2:06 PM?
4:51 PM
What is 101 minutes before 10:14 PM?
8:33 PM
What is 202 minutes after 9:39 AM?
1:01 PM
How many minutes are there between 3:14 PM and 2:32 AM?
678
How many minutes are there between 7:16 AM and 6:19 PM?
663
What is 669 minutes after 11:02 AM?
10:11 PM
How many minutes are there between 10:53 AM and 11:53 AM?
60
How many minutes are there between 1:31 AM and 11:03 AM?
572
How many minutes are there between 8:33 PM and 5:21 AM?
528
How many minutes are there between 4:58 AM and 8:15 AM?
197
How many minutes are there between 7:26 AM and 9:21 AM?
115
How many minutes are there between 4:43 PM and 4:12 AM?
689
How many minutes are there between 3:06 PM and 2:36 AM?
690
What is 473 minutes before 8:03 AM?
12:10 AM
What is 2 minutes after 4:21 PM?
4:23 PM
How many minutes are there between 6:41 AM and 11:56 AM?
315
How many minutes are there between 12:02 AM and 2:12 AM?
130
What is 170 minutes before 7:55 PM?
5:05 PM
How many minutes are there between 9:00 PM and 3:26 AM?
386
How many minutes are there between 5:20 PM and 2:23 AM?
543
What is 587 minutes after 8:44 AM?
6:31 PM
How many minutes are there between 12:17 AM and 12:05 PM?
708
How many minutes are there between 1:21 AM and 9:31 AM?
490
What is 680 minutes before 10:27 AM?
11:07 PM
What is 453 minutes after 10:45 AM?
6:18 PM
How many minutes are there between 7:53 AM and 11:57 AM?
244
What is 63 minutes before 3:28 PM?
2:25 PM
How many minutes are there between 10:09 AM and 8:16 PM?
607
What is 429 minutes before 12:26 PM?
5:17 AM
What is 385 minutes after 12:34 PM?
6:59 PM
What is 557 minutes after 9:39 AM?
6:56 PM
What is 524 minutes after 5:56 AM?
2:40 PM
What is 310 minutes after 9:27 PM?
2:37 AM
What is 89 minutes before 8:53 AM?
7:24 AM
How many minutes are there between 4:03 PM and 12:28 AM?
505
How many minutes are there between 4:22 AM and 8:18 AM?
236
Wh | {
"pile_set_name": "DM Mathematics"
} |
6
Suppose 0 = -5*c + 9*c - 156. Suppose -q = 2*q - c. What is the tens digit of q?
1
Let b(m) = -m**2 + 9*m - 4. Let i be b(6). Let g = i - -8. What is the units digit of g?
2
Suppose -5*j + 3*a = -153, 53 + 33 = 3*j + 4*a. Suppose 0 = -4*u + j + 30. Suppose -4*i = -u - 21. What is the units digit of i?
9
What is the tens digit of (47 - -11) + (1 - 2)?
5
What is the units digit of ((-36)/16)/(6/(-176)) + 1?
7
Let c(y) be the third derivative of y**5/30 + y**4/4 + 2*y**3/3 - 3*y**2. Let g be c(-4). What is the units digit of -1*1 + g + 2?
3
Let z be (81/36)/((-2)/(-8)). Let q = 7 - z. What is the units digit of (3 - 0) + 1 + q?
2
What is the tens digit of 58/(2 - 0)*(-40)/(-40)?
2
Let w(a) be the first derivative of 1/4*a**4 + a**3 + 3 - 2*a**2 + 5*a. What is the units digit of w(-4)?
5
Let c(v) be the third derivative of -1/12*v**4 + 1/12*v**5 + 0 - 1/120*v**6 + 2*v**2 + 0*v + v**3. What is the tens digit of c(4)?
1
Let f(l) be the third derivative of -l**6/120 - l**5/15 - 5*l**4/24 - 2*l**3/3 - l**2. Let n = -10 - -7. What is the units digit of f(n)?
2
Suppose 14 = 8*f - 458. What is the tens digit of f?
5
Suppose -11 = 5*i - 1. Let u = 12 + i. What is the tens digit of u?
1
Let l(q) = -q**3 + 8*q**2 + 11*q - 10. Let p be 1 + (6 - 2/(-1)). What is the units digit of l(p)?
8
Let h(v) = -v**3 - 3*v**2 + 4*v + 3. Suppose -u + 3*d + 2*d - 8 = 0, -8 = -4*d. Suppose 3*m = -u*t + 2 - 7, 0 = 2*t + 2*m + 6. What is the units digit of h(t)?
3
Let l(u) = 2*u**2 - 3*u**2 - 2 + 6. Let d be l(0). Let o = 5 - d. What is the units digit of o?
1
Let u = 2 - -1. Let z(n) = -n**3 + 2*n**2 + 2. Let h be z(2). What is the units digit of (u/(-6))/(h/(-28))?
7
Let v be (-6)/27 + (-58)/(-18). Suppose w = -3*x + 17, -v*w + 1 = 2*x - 1. What is the units digit of x?
7
Suppose -2*x = -x - 11. Suppose -2*t + 6*t + 20 = 0, -3*t - x = p. Suppose l + 9 = 4*d, p*d + 5*l - 4 = -1. What is the units digit of d?
2
Suppose b + b - p = 124, -4*p + 8 = 0. What is the tens digit of b?
6
Let b(q) = q**2 + 8*q + 1. Let o be b(-8). What is the units digit of -1*(-57*o)/3?
9
Let v(t) = -5*t - 3. Let y(p) = 2*p + 1. Let x(m) = 2*v(m) + 7*y(m). Let s = 7 + -3. What is the units digit of x(s)?
7
Let o = 10 + -6. Suppose 0 = -4*a + 2*s + 42, -4*s - 4 + 0 = 0. Suppose -m = o*m - a. What is the units digit of m?
2
Let d be ((3*-1)/1)/1. Suppose 4*q - 16 = -12. Let w = q - d. What is the units digit of w?
4
Let b(r) = 4*r**2 + 3*r - 6. What is the units digit of b(4)?
0
Let y be (-2)/(-6) + (-122)/(-3). Suppose -y = -4*s + 2*v + 3*v, 10 = s - v. What is the units digit of s?
9
Suppose j + 4*j = 0. Suppose -3*v + 4 - 22 = j. Let y = -1 - v. What is the units digit of y?
5
Let l(s) = -s**3 + 6*s**2 - 5*s + 3. Let z(q) = 4*q**2 - 2*q + 1. Let y be z(1). Suppose -3 = -4*g + y*g. What is the tens digit of l(g)?
1
Let s be (-1)/7 + 1/7. Let v(n) = 0*n - 2*n - n**2 + 15 + 3*n. What is the tens digit of v(s)?
1
Let w(v) = 5*v**2 - 5*v + 4. What is the units digit of w(2)?
4
Let j(m) = -m**2 + 9*m - 5. Let h be j(8). Let t(z) = z + 4*z + h*z. What is the units digit of t(1)?
8
Suppose 0 = 5*p - 3*r - 128, -4*r - 40 = 2*p - 4*p. What is the tens digit of p?
2
Suppose 2*s - 4*b = 224, 1 + 4 = 5*b. What is the units digit of s?
4
Let c(a) be the first derivative of a**5/60 - a**4/3 - a**3 + 1. Let s(z) be the third derivative of c(z). What is the units digit of s(9)?
0
Let o(w) = -w**3 + 2*w**2 - 2*w + 1. Let r be o(1). Suppose 0 = s - r - 3. Suppose 0 = -s*y + 3 + 6. What is the units digit of y?
3
Suppose v = 3*v - 3*w - 4, 5*w = 2*v. Let k(m) = -m**3 + 6*m**2 - m - 1. Let u be k(v). What is the tens digit of -1 + u + (-4 - -2)?
1
Let o = 44 - 13. What is the units digit of o?
1
Let t be 21/6 + (-1)/2. Suppose t*b - 94 = -4*w, 3*w + b = 2*b + 77. What is the units digit of w?
5
Suppose 3 + 53 = 4*y. What is the tens digit of y?
1
Let f(t) = 2 + 1 + 0 - 4 - 23*t. What is the tens digit of f(-1)?
2
Suppose 0 = -3*i + 6*i - 138. What is the tens digit of i?
4
Let c(h) = h**3 - 2*h**2 - 2*h - 2. Let w(q) = -3*q. Let m be w(-1). Let o be c(m). Let j(u) = 4*u**3 - u**2 + 1. What is the units digit of j(o)?
4
Let p = -8 - -6. Let m(v) = -10*v**3 - 3*v**2 - v. Let d be m(p). Suppose o + d = 6*o. What is the units digit of o?
4
Let d be 1 - (-7)/(21/18). Let r = d + 3. What is the units digit of r?
0
Let v(w) = w**3 + 2. What is the units digit of v(5)?
7
Let w(v) = v**2 - 2*v + 6. Let g(y) = -3*y + 1. Let s be g(-1). What is the tens digit of w(s)?
1
Suppose y = -4*y + 365. What is the units digit of y?
3
Suppose -35 = -4*o + 13. Let n = o + -2. What is the units digit of n?
0
Suppose -3*t + 24 + 162 = 3*z, t = 4*z - 268. What is the tens digit of z?
6
What is the units digit of 28 - (2 - 1 - -2)?
5
Let n(m) = -m**2 - 7*m - 5. Let o be 4/((-1 - -1) + 1). Suppose 0 = -o*d - t + 3*t - 18, 4*d + 4*t = -12. What is the units digit of n(d)?
7
Suppose 0 = -m - 0*m - 8. Let x be (4 - 0)*(-2)/m. Let o = 3 - x. What is the units digit of o?
2
What is the tens digit of (-1456)/(-10) - (-2)/5?
4
Let c(k) = k + 1. Let m(x) = -x + 1. Let h(p) = 2*c(p) - m(p). Let b = 9 + -7. What is the units digit of h(b)?
7
Let g(f) = 19*f**2 - 6*f - 2. Let j be g(-4). Let p be j/6 + 12/18. Let o = -39 + p. What is the units digit of o?
6
Let g = 7 + -7. Suppose 0 = -g*s - s + 8. What is the units digit of s?
8
Let d(b) = b**3 - b**2 - 2. Let y be d(2). Let s be 2/(-6) - 10/(-3). Suppose 0 = -y*u + 4*h, -u - s*u + 27 = h. What is the units digit of u?
6
Suppose 0 = -k + 4*k + 21. Let r(o) = 11 + 2*o - 2 - o. What is the units digit of r(k)?
2
Suppose -5*x + 247 = -88. What is the units digit of x?
7
Suppose f + 3*f = -24. Let x(r) = -r**3 - 5*r**2 + 5*r - 3. Let l be x(f). Suppose 0 = -p + l*g - 3, 3 = -3*g + 9. What is the units digit of p?
3
Suppose -b + 61 = 3*d, -21 - 24 = -b + d. Let f = -26 + b. What is the units digit of f?
3
Let l(k) = k**2 - 5*k + 2. Let x be l(4). Let p = 0 - x. Suppose 3*z - a = p*z + 7, 3*a = z - 5. What is the units digit of z?
8
Suppose 10*z - 11*z = -342. What is the hundreds digit of z?
3
Let y be 5 + 2*1/(-2). Suppose 0 = -2*v + 5*r + 81, v + 3*r - 125 = -y*v. Suppose 2 + v = 5*g. What is the units digit of g?
6
Suppose 4*f + 42 = -6. What is the units digit of (-4)/16 - 183/f?
5
Let d be (1/1)/(4/12). Suppose 0 = -d*l + l + 8. What is the units digit of l?
4
Let h(z) = 2*z**3 + 6*z**2 - z + 6. What is the units digit of h(-3)?
9
Suppose 2*a + 3*l - 4*l = -32, -a - 3*l = 2. Let c(i) = -i - 9. What is the units digit of c(a)?
5
Let i be (2/(-2))/(-1) - -2. Suppose -5*n - 3*f = -91, -58 = -n - i*n + 5*f. What is the tens digit of n?
1
Let g = 15 - -45. What is the units digit of g?
0
Suppose -5*i = -i + 132. What is the tens digit of i*1/6*-2?
1
Let o = 20 - 14. Suppose o = -0*u + 2*u. Suppose 6 = -2*h, -h - u = 2*w - 16. What is the units digit of w?
8
Suppose 5*j - 5 = 4*j, 3*j + 69 = -3*b. Let h = -10 - b. What is the units digit of h?
8
Let z be 2/(-8) + (-84)/(-16). Suppose -z*b = -3 - 7. Suppose -i = 2*c, i - b*c + 4 = 4*i. What is the units digit of i?
2
Suppose 2 + 3 = p. Let z(r) = 12*r**2 - p*r**2 + 9*r**2 + 1 + r**2 + 2*r. What is the tens digit of z(-1)?
1
Suppose 6*s - 53 = 223. What is the units digit of s?
6
Suppose 2*y = -4*d + 124, 5*y - 2*d = 519 - 149. What is the tens digit of y?
7
Let n(d) = -d**2 - 5*d - 3. Let u be n(-5). Let c = 6 + u. Suppose 5*o + 2*k = 98, -4*o = -3*o + c*k - 30. What is the units digit of o?
8
Let j = 17 + -23. Let a = 16 - j. What is the tens digit of a?
2
Let z = 10 + -12. What is the units digit of 2/4*z - -2?
1
Let v = -124 + 220. What is the units digit of v?
6
Let n = -26 + 17. Let y = n - -18. What is the units digit of y?
9
Suppose 0 + 2 = a. Let t = a + 0. What is the units digit of -2 + t + 24/3?
8
Let h(g) = -3*g. Let x be h(-1). Suppose 90 = 2*b - 2*y - 0*y, -2*b - x*y + 90 = 0. What is the units digit of b?
5
Suppose -536 = -12*d + 10*d. What is the tens digit of d?
6
Let b(v) = 25*v - 16. What is the units digit of b(3)?
9
Let b = 3 + -1. Suppose b*z = z. Suppose 4*r - 2*y - 18 = 0, z*r + r - 5*y = 18. What is the units digit of r?
3
Let t = 0 + -3. Let o = t + 4. Let n = o + 3. What is the units digit of n?
4
Let f(y) = 64*y**2 + y + 3. What | {
"pile_set_name": "DM Mathematics"
} |
**3 + 3*w
Expand (2*m + 2*m - 5*m)*(2*m + m - 2*m) + (10 - 3 + 0)*(3*m**2 - 8*m**2 + 3*m**2).
-15*m**2
Expand (-p + 2*p - 4*p)*(-3 - 3*p + 5 - 4).
9*p**2 + 6*p
Expand (-5*s**3 + 0*s**3 + 0*s**3)*(1 - 4 + 1) + 0*s**3 - 2*s**3 + 0*s**3 - s**3 - s**3 - 2*s**3.
4*s**3
Expand (-1 - 3 + 7)*(-5*h**2 + 4*h**3 + 5*h**2).
12*h**3
Expand (l + 1 + 4*l**2 - l)*(3 - 2*l + l + 0).
-4*l**3 + 12*l**2 - l + 3
Expand (3 - 3 + 2*n)*(-3*n - n + 6*n) + (-3*n**2 + 6 - 6)*(1 - 3 + 1).
7*n**2
Expand 0*p**4 + 0*p**4 - 4*p**5 + (-1 - 4 + 3)*(-1 - 2*p**5 + 1) + 4 - 2*p**5 - 4.
-2*p**5
Expand (3 - 3 + 1)*(-2 + 2 + 9*p) + 2 - 2*p + 4*p + 1.
11*p + 3
Expand (-3*f + 3*f + 2*f)*(-2*f - 4 + 4) + f**2 + 0*f + 0*f + (34*f - 17*f + 15*f)*(3*f - 7*f + 3*f).
-35*f**2
Expand (26*d + 523 - 523)*(-2 + 0 + 1).
-26*d
Expand (-2 + 2 + 2*p**2)*(3*p - 5*p + 3*p) + (-1 - 4*p + 7*p - 5)*(-p**2 - 3*p**2 + 5*p**2).
5*p**3 - 6*p**2
Expand 2*g + 13*g + 2 + 26*g + (-2 + 3 + 1)*(-3*g - g + 2*g) + 4*g + g - 4*g.
38*g + 2
Expand (-3 + 5 + 1)*(2*n - 3*n + 8*n) - 3*n + 2*n - 3*n.
17*n
Expand (2*h**2 + h + 5*h - 4*h)*(69*h - 57*h + 85*h - 1).
194*h**3 + 192*h**2 - 2*h
Expand 3*t**3 - 3*t**3 - 2*t**3 + (-6 + 0 + 1)*(0*t**3 + 3*t**3 - 2*t**3) - 3 + 3 + 2*t**3.
-5*t**3
Expand (-2*c**3 + 0*c**3 + 4*c**3)*(-2 + 2 - 2*c) + (c + c + 0*c)*(-4*c**3 + 4*c**3 + 2*c**3) - 8*c**4 - 8*c**4 + 4*c**4.
-12*c**4
Expand (-2*j - 4*j + 5*j)*(2*j - 3*j + 0*j) + (j - 5*j - 3*j)*(5*j - j - j).
-20*j**2
Expand (v**4 + 4*v**4 - 3*v**4)*(6*v - 3*v - v) + 4*v**5 - v**5 - 5*v**5 + (-2*v + 5*v - 4*v)*(-2*v**4 - v**4 + 2*v**4).
3*v**5
Expand (-2 + 0 + 4)*(0*q + 0*q + q) + (-2 + 0 + 1)*(q + q - q - 3 + 3 + q + (-1 + 2 - 2)*(0*q + 4*q - 2*q) - 5*q + 2*q + 2*q).
3*q
Expand (3 - 4 - 1)*(q + 0*q + q)*(-2 + 5 - 1 + (-2 - 4 + 4)*(2 - 5 + 1) + 1 + 0 - 2 + 3 - 4 + 4 - 3 - 1 + 0 - 3 + 4 - 2).
-12*q
Expand 2*q - 7*q + 2*q + (0*q - q - q)*(-4 + 1 + 2) + 7*q + q - 2*q.
5*q
Expand (0*u - 3*u + 4*u)*(-34*u + 10*u - 15*u).
-39*u**2
Expand (3*r + r**2 - 3*r)*(-2*r + 5*r + 0*r) + 2*r**3 + 0 - 2 - r**3.
4*r**3 - 2
Expand d**5 - d**5 - 2*d**5 + (1 + 3 - 5)*(d**5 - 2*d**5 + 3*d**5) + 2*d**5 + 2*d**5 - 2*d**5 - 10*d**4 - 4*d**5 - 10*d**5 + 8*d**4.
-16*d**5 - 2*d**4
Expand -1 + b**5 + 1 + (b**4 - 4*b**2 + 4*b**2)*(-b - 4*b + 3*b) - 5*b**5 + 0*b**5 + 4*b**5 + 254*b**5 - 2*b**3 - 250*b**5 + b**3.
2*b**5 - b**3
Expand (-1 + 2*v**2 + 1)*(-18 - 19 + 16).
-42*v**2
Expand (-2 + 2*g**3 - 2*g**3 + 2*g**3 + (-5*g - 2*g + 5*g)*(0*g**2 - 4*g**2 + 3*g**2))*(g + 2 - 2).
4*g**4 - 2*g
Expand (-6*f**2 + 2*f + 3*f**2 - f**2)*(f**3 + 2*f**3 - 4*f**3).
4*f**5 - 2*f**4
Expand (p - p - 2*p**2)*(p + 3*p + 2*p)*(4 - 3 - 4)*(4*p - 4*p + 2*p).
72*p**4
Expand (3 - 3 - 15)*(3*s - s**2 - 3*s)*(0 - 2 + 4).
30*s**2
Expand (-3 + 0*o**2 - 2*o**2 + 1)*(0*o + 3*o**2 + 0*o).
-6*o**4 - 6*o**2
Expand (1 + 1 + 1)*(-3 + 3 + 2*r + (-6 + 2 + 3)*(2*r - 5*r + 0*r)).
15*r
Expand 0*r**5 + 0*r**5 + 2*r**5 + (6*r**4 - 3*r**4 - 2*r**4)*(15*r + 7*r + 3*r).
27*r**5
Expand (4 + 1 - 3)*(-2*h + 7*h - h) + (-1 + 2 + 0)*(-2 + 2 - h).
7*h
Expand 0*n**4 - 2*n**5 + 0*n**4 + (-2*n**3 + n**3 - n**3)*(-2*n**2 + 0*n + 0*n) + 3*n**5 + 6 - 6 + 23*n**5 - 20*n**4 + 20*n**4.
28*n**5
Expand (-h + 1 - 1)*(3*h**2 + 1 - 1 + (1 - 1 - h)*(2*h - 1 + 1)).
-h**3
Expand 2*c - 2*c - c**2 + (-1 + 2*c + 1)*(-c + c - 2*c) + 0*c**2 + c**2 + 0*c**2 + 2 - 2*c**2 - 2 - 3*c**2 + c**2 + c**2 + 0*c**2 - 3*c**2 - 3*c**2.
-13*c**2
Expand ((3 - 3 + 1)*(-2 - 2*y + 2) - 2*y - y + 0*y)*(-3*y + 0 + 0).
15*y**2
Expand -10*g - 3 + 11*g + 0 + (-2*g + 1 - 1)*(-1 + 2 - 2).
3*g - 3
Expand (75 - 13*s - 37 - 36)*(0 + 0 + 1).
-13*s + 2
Expand (4*b - 3*b - 2*b)*(-41 + 41 + 19*b**2).
-19*b**3
Expand (-2*i + 5*i - 4*i)*(-2*i + 8*i - i).
-5*i**2
Expand (-1 - 3 + 6)*(20 - 4*j + j**2 - 20).
2*j**2 - 8*j
Expand (-5 + 5 + 2*m**3)*(m - m - 2*m) + m**4 + 2*m**4 - 6*m**4 + (-2*m**2 + m**2 - 2*m**2)*(0*m**2 + 2*m**2 - 3*m**2).
-4*m**4
Expand (1 - 3 + 4)*(x + 3*x - 5*x) + (-3 - 1 + 3)*(2*x - 2 + 2) + 2*x + 2*x - 3*x + 0*x - 6*x + 2*x.
-7*x
Expand (j - j - 2*j - j + j - 2*j + (j - j + 2*j)*(-3 + 2 + 0))*(-5 + 0 + 4).
6*j
Expand (1 - 1 + 2*q**2)*(-1 + 22*q + 1).
44*q**3
Expand (-3*q**3 + 2*q**3 - q**3)*(-2*q + 2*q + 7*q**2).
-14*q**5
Expand (3 + 3 - 4)*(-4*k + 3*k - k)*(-3 + 4 + 1).
-8*k
Expand q**3 - q**2 + q**2 + (2*q**2 - 3*q**2 + 2*q**2)*(-2*q + 0*q + 4*q) - q - 2*q**3 + q + (q - q + 3*q)*(4 - 4 - 3*q**2).
-8*q**3
Expand (-4*n + 0*n + 5*n)*(2*n**4 + 3 - 3) + 4 - n**5 - 4.
n**5
Expand (-m - 1 + 1 - 28*m - 20 + 20 + (-m + m + 2*m)*(-4 + 4 + 2))*(4*m - 1 - 3*m + 0*m).
-25*m**2 + 25*m
Expand (3 + 18 - 7)*(-u + 0*u - u).
-28*u
Expand (-1 + 6 - 3 + (2 + 2 - 2)*(-6 + 2 + 0))*(2*m - m + m).
-12*m
Expand (70*t**3 + 27*t**3 - 41*t**3)*(-t**2 + 2*t**2 - 2*t**2).
-56*t**5
Expand (4 - 2*p - 4)*(p + p + 0*p) + (3 - 3 + 3*p)*(0*p + p + 0*p) - 5*p**2 + 4*p**2 + 5*p**2.
3*p**2
Expand -a**4 + a**4 + a**4 + (2*a**2 + 2*a**2 - 3*a**2)*(2*a**2 + 3*a - 3*a) + 0*a**4 + 0*a**4 - 2*a**4 - 3*a**4 + a**4 + 0*a**4 - 5*a**2 - a + 2*a**4 + 5*a**2.
a**4 - a
Expand (4 - r - 4)*(0*r**2 - 5*r**2 + 0*r**2) - 3*r**3 + 2*r**3 + 3*r**3 + (-r**2 + 4 - 4)*(-1 + 1 - r).
8*r**3
Expand 3*i + 3*i - 4*i + (-3 + 7 - 2)*(0 + 0 + 2*i).
6*i
Expand (2 + 2 - 2)*(-3*n**2 + n**2 + 3*n**2) + 8*n**2 + 14*n**2 - 6*n**2.
18*n**2
Expand (2 + 3 + 5)*(3*j**5 + 0*j**5 - 5*j**5).
-20*j**5
Expand (0*n**4 + 2*n**4 + 0*n**4)*(3 + 0 - 1) + 3*n**2 - 3*n**2 + 2*n**4 + 2*n**4 + 0*n**4 - n**4.
7*n**4
Expand (-c**2 + c - c)*(5 - 7 - 5) - 2*c**2 - c**2 + 2*c**2 + 2*c**2 - 2*c + 2*c + (-4*c + c + c)*(c + 0*c + c) + 0*c**2 - 2*c**2 + 0*c**2.
2*c**2
Expand 2*y**3 - y**3 + 0*y**3 + (5*y**3 - 2*y**3 - 2*y**3)*(-38 - 9 + 5).
-41*y**3
Expand (-3 + 4 - 3)*(1 + 3 + 0)*((1 + 1 - 4)*(-f + 0*f + 0*f) - f + 2*f + f).
-32*f
Expand (-4*i + 4*i + 2*i)*(-2 - 8 + 3) - 5 + 2*i + 5 - i - 3*i + 3*i + (-3*i + 3*i - i)*(-1 - 5 + 4).
-11*i
Expand (5 + 0 - 4 + (0 - 4 + 3)*(4 + 5 - 3))*(a**3 + a + a**3 - a**3).
-5*a**3 - 5*a
Expand (4 - 4 + c**3 + (-5*c + 5*c - 2*c)*(5*c**2 - 4*c**2 - 2*c**2) + 3 - 3 + 3*c**3 + 0*c**3 + c**3 + c**3)*(-2 - 2*c**2 + 2).
-16*c**5
Expand (-4 - 1 + 3)*(2*m**4 + 9*m**4 - 6*m**4).
-10*m**4
Expand r**3 - r**5 - r**3 - r**5 + 2*r**5 - 2*r**5 + (-2*r**2 - 4*r**2 + 3*r**2)*(-2*r**3 + 3*r**3 - 3*r**3) - r**5 + 3*r**5 + r**5.
7*r**5
Expand (7*l - 4*l + 6*l)*(-4 + 2*l**2 + 4 + 1).
18*l**3 + 9*l
Expand (1 + 4 + 0)*(-2*j + 4*j + j) + 0*j + 2*j - 5*j.
12*j
Expand (0 + 2*i**2 + 0)*(2*i - 3*i + 3*i)*((4*i - 2*i - i)*(3 + 3 - 3) + 8 + i - 8).
16*i**4
Expand (-j + 3*j + 0*j - 2)*(2 - 2 - 3).
-6*j + 6
Expand (-s + 0*s + 0*s)*(11*s - 13*s + 31*s) + 0*s**2 - s**2 - s**2 - 2*s**2 + 6*s**2 - 2*s**2 + (s - 1 + 1)*(4*s - 2*s + 0*s).
-27*s**2
Expand (g - 3*g + 0*g)*(6 + 3 - 5)*(-3 + 0 + 1).
16*g
Expand (-1 + 1 - 2*d)*(-2*d**2 + 4*d**2 - 4*d**2)*(3 + 1 - 2).
8*d**3
Expand (-6 + 6 - c**5)*(4 + 0 - 3)*(1 + 1 + 1).
-3*c**5
Expand (-3 - 1 - 5)*(0*j**4 - 5*j**4 + j**4 + (0*j**2 + 2*j**2 + 0*j**2)*(2*j**2 - j**2 - 2*j**2)).
54*j**4
Expand (-3 - 1 - 3)*(-2*s - 4*s + 7*s) - 2*s - 2*s + s.
-10*s
Expand -4*c**5 + 5*c**5 + 3*c**5 + (-15 + 15 + 9*c)*(c**4 - 5*c**4 + 2*c**4).
-14*c**5
Expand (0*k**2 + 3*k**2 - 2*k**2)*(-30 - 3*k**2 + 30).
-3*k**4
Expand 7*p**4 + 6*p**2 - 6*p**2 - p**4 - 1 + 1 - 2*p**4 - 2*p**4 + 6*p**4 + (-p - p + 3*p)*(-3*p**3 + 0*p**3 + 4*p**3) + 7*p**4 - 4*p**4 + 6*p**4.
18*p**4
Expand (1 - f**2 - 1)*((-2 - 2 + 6)*(2*f - 2*f**2 - 2*f) + 0*f**2 + 3*f**2 + 0*f**2).
f**4
Expand (-4*a**3 - a**4 + 4*a**3)*(1 - 6 + 2 - 7*a).
7*a**5 + 3*a**4
Expand (2*o**3 + 3*o - 3*o)*(4 - 3 - 2)*(-5*o**2 + 4*o**2 - 5*o**2).
12*o**5
Expand (-3*w - 1 + 1)*(6*w - 5*w + 0*w)*(-1 + 9*w - 7*w - 6*w).
12*w**3 + 3*w**2
Expand ((3*v - 4*v - v)*(-2*v - 4*v + 4*v) + 0*v**2 + 0*v**2 + 2*v**2 + 0 + 2 - v**2 + 3*v**2)*(4*v**2 + 4 - 4).
32*v**4 + 8*v**2
Expand (2*i**3 + 2*i**3 - 2*i**3)*(-1 + 0 + 319*i + i**2 - 320*i).
2*i**5 - 2*i**4 - 2*i**3
Expand (-4*s + 4*s - 23*s**2)*(-9 + 9 - 2*s).
46*s**3
Expand -4*h**5 - 2*h**5 + 0*h**5 + (3*h**3 + 3*h**3 - 4*h**3)*(-h**2 + 0*h**2 + 2*h**2) + 3*h**5 - 2*h**5 - 4*h**5.
-7*h**5
Expand (-1 - 4 + 4)*(3 - y - 3) + 2 - 3*y - 2 + (2 - 7 + 3)*(3*y - 4*y - y) - 2*y + 0*y + y + 0 - y + 0 - 19*y + 6*y + 7*y.
-6*y
Expand (4 - 4 + 3*b + (-4 + 4 + 2)*(b + 3 | {
"pile_set_name": "DM Mathematics"
} |
h is the closest to 1/4? (a) z (b) 0.3 (c) 3/8
b
Let l = 2978/15895 - 8/1445. Which is the closest to -1/4? (a) 0.4 (b) 1.5 (c) l (d) 8/15
c
Let o be 2*2/6*1. Let g = 666652 + -666650. Suppose -2*k + 12 = 2. Which is the nearest to 1? (a) o (b) k (c) g
a
Let l = 44.5 + 20.5. Let f = -64.9 + l. Which is the nearest to -13? (a) 1 (b) f (c) -0.5
c
Let x = 4260 - 289675/68. Let n = 81/748 + x. Let c = -32 - -127/4. What is the nearest to c in 4, n, -0.1?
-0.1
Let f = -90497/9 + 10055. Let c = 5 + -3. What is the nearest to f in -6, c, 0.3?
0.3
Let i = 5147/15 - 343. Suppose 8*z - 624 + 600 = -4*z. Let k(g) = -g - 8. Let f be k(-6). What is the closest to i in 2/5, f, z?
2/5
Let s be ((-432)/32)/(47 + -38). Let h = 0.2 - -1.8. What is the nearest to -1 in 6, h, s, 0.11?
s
Let h be (-2)/(-4) - (-49)/2. Suppose 3*n = -2*s - 3, 5*s - 15*n + 18 = -12*n. Let o be 1*h/(-5) + s. Which is the closest to 2/7? (a) -4 (b) o (c) -0.4
c
Let t be ((-756)/2016)/((15/2)/(-5)). What is the closest to t in -1, -0.4, 10?
-0.4
Let j = -0.4604 - 0.5396. Which is the closest to j? (a) 2/17 (b) 0.05 (c) -2/3 (d) -3
c
Let n(z) = -4*z - 73 - 6*z - 18*z + 5*z. Let c be n(-3). Suppose 3*u = -4*i - u + 16, 4*i = 4*u. What is the closest to i in -1, -5, c?
-1
Let h = -13.95 + 31.95. Which is the closest to -3? (a) h (b) 2 (c) 5/3 (d) 0
d
Let m = -30.67 - -31. Let z = 0.53 - m. Let n = 9.8 + -10. What is the nearest to -2 in -1, z, n?
-1
Let p(b) = 2*b**3 - b + 855. Let n be p(0). Let k be 228/n + 2/(-3). Let r = 0.8 + 2.2. What is the closest to k in -2/17, r, 5?
-2/17
Let w be 130/(-325)*35/28. Which is the closest to -3? (a) -1 (b) 4/21 (c) w (d) 0
a
Suppose 152*i - 149*i - 363 = 0. Let m = 116 - i. What is the closest to -3/5 in 0.2, m, -4?
0.2
Let v be (-88)/(-33)*9/30 - 1. Let u be ((-16)/36)/((-2)/9). Suppose 5*y = 3*y - u. Which is the closest to y? (a) v (b) -3/8 (c) -0.4
c
Let d = 7.84379 + 0.15621. Which is the nearest to 1? (a) 12 (b) 1 (c) d
b
Let m = -0.997 + -0.003. Let d be (-4 - -3)/(1 - -2). Let l = -12 + 17. What is the nearest to 24 in m, d, l?
l
Let t = -0.0343 - -0.4343. Let h = -104 + 103. What is the nearest to 1/3 in -0.8, t, h, -5?
t
Let v = -10.4372 - -0.4372. Which is the closest to v? (a) -2/5 (b) 1/5 (c) 0.1
a
Let v = 607 - 1083. Let z = v + 475. Which is the closest to 1/3? (a) 2 (b) z (c) 1.3
c
Let x be (-2)/38*(-64)/(-32). Which is the nearest to -2? (a) 3 (b) -0.1 (c) 0.05 (d) x
d
Suppose 3*g - 5 = 2*g + 3*z, -4*z = 5*g + 13. Let j = -3 + -1. Let r = 2.779 + -2.779. Which is the nearest to -0.1? (a) g (b) j (c) r
c
Let q = 36479 - 35727. Which is the nearest to 1/5? (a) -1/4 (b) 2 (c) q
a
Let z = -8.9 + 8.4. Let b be 123/42 + -3 - 1. Let h = b + 283/238. What is the closest to 1 in z, h, 5?
h
Suppose -3*q - 5*j + 79 = 0, -107 = -4*q + 4*j + 9. Suppose -4*z = -11*z + 63. Let d be z/6*q/21. Which is the nearest to 2/5? (a) d (b) -1 (c) 4
b
Let k(y) = -3*y - 12. Let i = 29 + -35. Let n be k(i). Let j be 4 + ((-15)/n - 2). Which is the nearest to j? (a) 1/4 (b) 1 (c) -2/11
c
Let g be 15276/5628*14/18*(-3)/(-2). Which is the nearest to 6? (a) g (b) 4 (c) 0.4
b
Let x = -68 + 68.2. Let r = -27 - -26.99. Which is the closest to 0? (a) x (b) 0 (c) r
b
Let f be (6/(-20))/((-24)/40). Let l(i) = i**2 + 17*i + 75. Let j be l(-9). Which is the nearest to f? (a) 0.1 (b) j (c) -1/10
a
Let m = 13 - 3. Let h = 550 + -540. Let v be (5/m)/((-15)/h). What is the nearest to v in -1, 2/11, -1/6?
-1/6
Let r = 27.9 - 148.9. Let k = r - -114.9. Let d = 4.1 + k. Which is the nearest to -59? (a) d (b) -3 (c) 3/7
b
Let k = 88 - 83. Let h be 6/k + 108/(-81). Which is the closest to -0.1? (a) -1/5 (b) -5 (c) h
c
Let m = 2.7 - 1.7. Let h = -86 - -148. Let s = h - 63. Which is the closest to s? (a) m (b) 0 (c) 2/11
b
Let a = -3140 + 3171. What is the nearest to 1/7 in -1/3, a, 4, 5?
-1/3
Let r = -154/223 - 228113/669. Let f = 342 + r. What is the closest to f in 3/8, -1/11, -4/7?
3/8
Let w = -11 + 11.5. Let z = 33007 + -33007.4. Which is the nearest to -0.1? (a) 195 (b) w (c) z
c
Let g = 0.5 + -0.3. Let l = g - 0.4. Let q(x) = x**2 + 292*x - 1785. Let z be q(6). Which is the closest to -0.1? (a) 4 (b) z (c) l
c
Suppose 4*x - 783 = z + 2*z, 0 = -4*x + 2*z + 786. Let p be (-6)/7*126/x. Which is the closest to 2? (a) p (b) -1/5 (c) -1/4
b
Let d(y) = -y**3 + 8*y**2 - y - 12. Let w be d(6). Let t = 51 - w. What is the closest to -2/5 in -10, -0.4, t?
-0.4
Let m = 1061 - 367. Let s = 685 - m. Let g = -2 + -2. Which is the closest to 0? (a) 0.3 (b) g (c) s
a
Let v(g) = -g**3 - 10*g**2 + 170*g + 11. Let q be v(9). Let o = 20 - 17. What is the nearest to 1 in q, o, 0.4?
0.4
Let q = 1.99 + 0.01. Let n = -0.025 - -0.925. Let p = -0.819 - -0.419. Which is the closest to 1/2? (a) n (b) q (c) p
a
Let j = 1625.95 + -1626. Let n be ((-4)/(-5))/((-2)/(-10)). Let s = -0.169 + 0.069. Which is the nearest to 1/4? (a) s (b) n (c) j
c
Let d = 194.51 - 194.71. Let o = -2.8 - -2. What is the nearest to -1 in o, d, 1, -2?
o
Suppose 26*t = 28*t + 4*q - 170, -2*t = -2*q - 170. Which is the nearest to 0? (a) t (b) -0.8 (c) -2
b
Let h be (-2)/22*(-528 - -530). What is the closest to 3 in h, -4, -497?
h
Let m = 32/9 - 26/9. Let n = -5130 - -5130. Which is the nearest to -0.2? (a) n (b) 0.3 (c) m
a
Let i = -0.3 - -0.2. Let g = 421/3 + -142. Let h be (407/(-74)*4/(-33))/(5/3). What is the nearest to -1 in g, i, h?
g
Let a = 572.9 - 573. Let j = 1.5 - 1. Let d be 5*(-1*2 + 3). What is the nearest to a in j, d, -1/5?
-1/5
Let c be (-1)/(1/(2 + 1)). Let z = 131/178 - 1137/1424. What is the closest to 1 in z, 3/8, c?
3/8
Let u = 3.0073 - 0.0073. Which is the closest to u? (a) -3/8 (b) -3 (c) -0.15
c
Let p be (2 - 29) + -1 + -1. Let t = 6124 + -30472/5. Let d = p + t. What is the closest to 1 in d, 5, -2?
d
Let l = -0.263 + 0.103. Let w = 1.16 + l. What is the nearest to -2/5 in -1, 75, w?
-1
Let p = 6.458 + -6.558. What is the closest to p in 2, -4, -2, 0.4?
0.4
Let v = -0.254 - 0.246. Let u = -22.6 + 17.62. Let y = u + -0.02. What is the closest to 0 in y, 0.4, v?
0.4
Let c = -5.46 + 4.987. Let o = c - -0.373. Let z = -0.05 + 0.11. What is the nearest to o in 4, -4, z?
z
Let h = -2.03599 + 0.03599. Which is the closest to -0.2? (a) -4 (b) h (c) -1/2 (d) -3/7
d
Let y = 12192 + -85346/7. Which is the nearest to 27? (a) -8/3 (b) y (c) -0.3
b
Suppose 3*g + 75 = 27. Let d = -7 - -6.9. Let l = 721 - 719. Which is the closest to d? (a) g (b) l (c) -0.5
c
Let n = 29236 - 29235. What is the closest to 6 in n, -2, 35, 2/15?
n
Suppose 0 = -14*w + 114 - 44. Which is the closest to w? (a) 0 (b) -0.4 (c) 1/7
c
Let b(p) = -p**3 + 13*p**2 - 19*p - 24. Let w be b(11). Let v be (92/(-8))/(w/14). Let f = v + 18. What is the closest to 3 in -4/5, f, 1?
1
Let v = -17.74 + 14.04. Which is the nearest to v? (a) -1/4 (b) 3 (c) 1 (d) 5/2
a
Let g = 1269 + -1206. What is the closest to -1 in g, -0.1, 2/7, -2/17?
-2/17
Let n = -0.29 - -0.39. Suppose 1835 = -31*r + 1897. Which is the nearest to n? (a) -4 (b) r (c) 2.9
b
Let r be 8/24 + ((-56)/15 - -4). Let w = -529 - -527. Which is the nearest to 2/7? (a) 0.2 (b) w (c) -0.3 (d) r
a
Let d = 4595 - 4595. What is the nearest to d in 6, 7, 3/8, 3?
3/8
Let v = 11486 - 11483. Let o = 0.4 - 1.4. Let i be 6/99*(-1 - -4). What is the nearest to v in i, o, 0.3?
0.3
Let y = -3120 - -3129. What is the nearest to -0.018 in -4, -2, y?
-2
Let h = 7.8901 + 0.8099. What is the closest to h in 1, 0.1, 1.4?
1.4
Let k be -11 + ((-832)/80)/(-1). Which is the nearest to 0.22? (a) 7 (b) 0.1 (c) k
b
Let j = 7746 + -7746.006. Which is the closest to j? (a) 1 (b) -0.1 (c) 2/7
b
Let s = 0.13065 - 0.03065. What is the nearest to 217 in -2/5, s, -1, -3?
s
Let c = -45.667 + 45.667. What is the nearest to -1/2 in -2.5, 4, c, 5?
c
Suppose -17*q + 93 = 42. Let h = -14.14 + 14. Let s = h - 0.86. Which is the closest to s? (a) -4 (b) q (c) -1/3
c
Suppose 5*d - 5*a - 20 = 0, -12 = -5*d + 4*a - a. Suppose -y + 1 + 1 = d. Suppose 18 = -y*o - 2*v, o + v + 21 = -2*o. What is the nearest to o in -1, 0.2, 0.3?
-1
Let l = -1017/10 + 102. Let m = -59/30 + l. Suppose 2*w = 3*k + w + 1, 0 = 4*k + w | {
"pile_set_name": "DM Mathematics"
} |
- 0.422. Which is the third smallest value? (a) -4 (b) p (c) u
b
Let p = -58408 + 4205299/72. Let v be 1/2 + (-9)/8. Let n = p - v. What is the second biggest value in 2/13, 2, n?
2/13
Let z = -4 - -3. Let l = -17 - -26. Let j = 5 - l. What is the second biggest value in j, 0.2, z?
z
Let l = -0.1 + -4.9. Let k = 1 - -4. What is the third biggest value in l, 4/3, k?
l
Let r = 11 - 12.2. Let c = -1.19 - r. What is the smallest value in 1, 0.3, c?
c
Suppose 0 = 6*f - 2*f - 8. Let n = -29 - -21. Let p = n + 13. What is the second biggest value in -3, f, p?
f
Let s be 1/(-15) - 6/(-30). Which is the biggest value? (a) 3 (b) s (c) 1 (d) 2
a
Let v = 86 - 85. What is the third biggest value in 0.5, 11, v?
0.5
Let f = -3.1 + 2.9. Let l(q) = -q**3 + 2*q**2 - q + 1. Let j be l(2). Which is the smallest value? (a) -5 (b) j (c) f
a
Let s = -1 + 2. Let o = s - 0.8. Let h = 0.18 + -0.68. What is the second biggest value in -3, h, o?
h
Let l = 94 + -91. What is the third smallest value in -2, l, 11?
11
Let k = -0.17 - -11.17. Let j = 11.5 - k. Which is the second smallest value? (a) 4 (b) -2/5 (c) j
c
Suppose -10 - 25 = -7*w. Let i be 2/9 - (-4)/(-18). What is the smallest value in -0.5, i, w?
-0.5
Suppose -4*p - 11 = -15. Suppose -26 = 3*w - 0*o - 5*o, -2*o = 4*w. Let h be (1 - 1) + w/(-10). What is the third biggest value in h, 4, p?
h
Let r = -0.82 - -0.32. Let n = -9246 + 28243/3. Let i = n - 167. Which is the smallest value? (a) i (b) r (c) -0.1
b
Let c = 33 + -12. Let q be 124/3 + 14/c. Let b = q + -376/9. What is the third smallest value in 5, -0.3, b?
5
Let p = 18 + -18.1. Which is the smallest value? (a) -9 (b) 4 (c) p
a
Let v be (-4*1)/((-8)/2). What is the second smallest value in 0.5, v, -1/21?
0.5
Let y = 4 - -1. Let h be 0/(-2) - 2/(-22). Let p = 0.12 - 4.12. Which is the third smallest value? (a) p (b) y (c) h
b
Let q = 0.085 + -4.085. What is the third biggest value in 0, -2, q?
q
Let n = 54.6 + -46. Let t = 9 - n. Which is the third biggest value? (a) t (b) 4 (c) -3
c
Let o be 1*2 + (-2 - 0). Let n(h) = 2*h - 23. Let x be n(10). Which is the third smallest value? (a) x (b) o (c) 1/9
c
Let l be 1/4 + 10/(-24). Let m = 0.242 + -0.042. Which is the third biggest value? (a) l (b) 4/9 (c) m
a
Let u = -86 + 54. Let f = 23 + u. Let p = 9.1 + f. Which is the smallest value? (a) p (b) 0.05 (c) 0.4
b
Let n = -18 - -18.9. Let u(m) = -m**2 - m - 2. Let s be u(-2). Which is the smallest value? (a) 1 (b) s (c) n
b
Let o be (11/22)/((-2)/(-20)). What is the fourth biggest value in o, -1/14, 1/3, 4?
-1/14
Let x(i) = -i - 3. Let m be x(-6). Suppose 2*w - 20 = -3*w, m*w = -5*j + 37. Which is the second smallest value? (a) j (b) -2 (c) 1/2
c
Let m = 6 - 5.99. Let w = m + 2.99. Which is the smallest value? (a) 5 (b) -0.4 (c) w
b
Let v be (12/3)/12*-6. Let r be -1 + (16/14)/1. What is the smallest value in r, v, -0.2?
v
Let g = -49 + 48. What is the second smallest value in -5, g, 5, -4?
-4
Let j = 0.14 - -0.16. Which is the smallest value? (a) -0.1 (b) -2 (c) j
b
Let c = -12 - -10. What is the second smallest value in c, -1, 1?
-1
Let o be (1 - (5 + -2)) + 0. Let m be o/(-4)*(-4)/20. What is the second biggest value in -1/2, 3, m?
m
Let k = -0.3 + -0.7. What is the third smallest value in 5, 0, k?
5
Suppose -2*r = -c + 1, 2*r - c - 3 = 4*r. Let s = r + 3. What is the third smallest value in s, 5, 4?
5
Suppose 12 = 4*h, 0*w = w + 3*h - 10. Let j = 2.3 - 2. Which is the third smallest value? (a) j (b) w (c) -1/4
b
Let k = 18 + -14. Which is the third smallest value? (a) k (b) 3/5 (c) 1
a
Let r be (11/(-22))/(10/4). Which is the smallest value? (a) -0.01 (b) r (c) 2
b
Let h = 155/636 + 1/159. Which is the third smallest value? (a) -2/3 (b) -4 (c) 5 (d) h
d
Let o = 6 + -6.2. Let q = o - -0.3. Let a be 0 - 1/(-1 - -2). What is the second biggest value in a, -3/4, q?
-3/4
Let h = 0.8 - -0.2. Let p = 2.09 - 0.19. Let c = -0.1 - p. What is the biggest value in c, -0.5, h?
h
Let r = -0.133 + 0.433. What is the smallest value in -2/7, -5, r, -0.4?
-5
Let q be 1*(3 + 13/(-5)). Which is the second biggest value? (a) q (b) 4 (c) 1
c
Suppose 12*l - 72 = -12. What is the third smallest value in -3, l, -2/5, -2?
-2/5
Let c = -111 - -115. What is the smallest value in -0.5, c, -8?
-8
Let y = -6.5 - -6.6. What is the second biggest value in -1, y, 0.4?
y
Let a(k) = -k - 14. Let g(p) = p - 10. Let t be g(0). Let o be a(t). Suppose 4*v = -4*z + 20, 3*z - 20 + 5 = 2*v. What is the biggest value in z, -5, o?
z
Suppose 2*l - 5*y - 9 = -0*l, 2*l = -2*y + 2. Suppose 2*w + 2 + l = 0. Which is the biggest value? (a) 2 (b) -4 (c) w
a
Suppose 4*s + 7 = 5*i + 29, -5*s - 3*i = -46. Suppose -s = o + o. Let f = 7 - 4. Which is the smallest value? (a) o (b) -2 (c) f
a
Let o = 3.06 + -0.06. Which is the second smallest value? (a) 0.3 (b) o (c) 2
c
Let u be (-18)/4*(-1 + -1). What is the second biggest value in -0.2, -0.5, u?
-0.2
Let t = -0.1 - -0.2. Let c = -4.9 + 5. Let k = c + 0.1. What is the second biggest value in -0.4, k, t?
t
Suppose 5*d + 4*u = -3 - 2, -5*u = -3*d + 34. Let r be 16/(-40) - (-14)/60. Which is the biggest value? (a) d (b) -0.5 (c) r
a
Let u = -15.3 - -0.3. Let a = u + 12. Let h = 0.7 + -4.7. What is the smallest value in h, 3, a?
h
Let t = 0 + 0.2. Let x = -0.3 + t. Let y = 8.5 + -9. Which is the smallest value? (a) x (b) -3 (c) y
b
Let m(j) = 2*j - 7. Suppose 2*t + 0*t - 2*b - 18 = 0, 5*t + 2*b = 17. Let n be m(t). Let g be (n - 4) + 2/2. What is the smallest value in -4, g, 0.2?
-4
Let d = -4 + 1. Let o = 1 + d. Which is the smallest value? (a) 2 (b) -5 (c) o
b
Let q(b) = -b + 13. Let f(j) = -3*j + 39. Let o(i) = -3*f(i) + 8*q(i). Let n be o(9). What is the third biggest value in -0.3, n, 0.2?
n
Let o = 0.9 - 1. Let l = 0.3 + o. Let g = -0.2 + 0. What is the second smallest value in g, l, 3?
l
Let j = -5 + 29/5. Suppose 3*a = 4*a - 4. Let q be (15/36)/(2/a). What is the second biggest value in j, q, -4?
j
Let a = 8 + -7.7. Let k = 5.97 - 6. Let m = 4.03 + k. What is the smallest value in m, a, 2?
a
Let a be (6/(-20))/(12/(-10)). Suppose -8*j = 14 + 2. What is the second smallest value in a, j, -1?
-1
Let s = 31/76 + -3/19. Let j = -92 + 87. What is the second biggest value in -2/3, s, j?
-2/3
Let n = 0.55 - 0.55. What is the third smallest value in -49, -0.3, n?
n
Let u = 4 + 5. Let l be 7/u - (-22)/(-33). Which is the second smallest value? (a) 0.5 (b) -2 (c) l
c
Let s(c) = -5*c + c**3 + c**3 - c**3 + 8 + 5*c**2. Let q be s(-6). Suppose 4*u = q*j - 28, -5*u = 4*j - 0*j + 9. What is the biggest value in 0.1, j, -0.3?
j
Let h(o) = -4*o - 51. Let z be h(-12). What is the fourth smallest value in -1, 5, 1/9, z?
5
Let l(x) = x**2 - 4*x. Suppose 0*a + 4*a = 2*w + 24, 3*a = -4*w + 7. Let g be l(a). What is the third smallest value in -2/7, g, -5?
g
Let w = -9 + 8.9. Let n = 0.36 + -0.06. Let c be (27/14 - 2)*4. What is the third biggest value in w, n, c?
c
Suppose -3 = 3*w + 5*p, -w - 2*p - 2 = -0*w. Let d = 1.13 - 0.13. Let u = d + 5. Which is the smallest value? (a) w (b) u (c) -0.5
c
Let q be (-1 - 27) + 3 + -4. Let n = q - -59/2. Which is the smallest value? (a) n (b) -3 (c) 0.3
b
Let o = 0.2 + -0.13. Which is the third smallest value? (a) -5 (b) o (c) 2/5
c
Let w(r) = -r + r - r + 0. Let j = -75 + 74. Let i be w(j). What is the second smallest value in i, -0.1, -1?
-0.1
Let z = 322/45 + -68/9. Let n = 0.3 + -1.3. Let m = 0.11 + 0.09. Which is the second smallest value? (a) z (b) n (c) m
a
Let v = 15 - 9. Let p = -1.9 - 1.1. Let d = v + p. Which is the third biggest value? (a) 4 (b) 4/7 (c) d
b
Let w = 1506/13 + -116. Let p(f) = f**3 + 9*f**2 + 9*f + 11. Let b be p(-8). What is the second smallest value in b, w, 5?
b
Let p be 3/3*(0 + 4)/(-4). Which is the fourth smallest value? (a) -2 (b) p (c) -1/25 (d) 3/7
d
Let i = 138 + -1241/9. Suppose 0 = 48*s - 58*s - 50. Which is the third biggest value? (a) s (b) 0.4 (c) i
a
Let p = 2 - 7. What is the smallest value in -0.3, p, 3?
p
Let t = 17 + -16. What is the biggest value in -0.9, 4, t?
4
Let w = -17 + 12. Let o be 1*(-16)/4 - 0. Let n be o/(-18) - (-53)/(-36). Which is the second biggest value? (a) n (b) w (c) 2
a | {
"pile_set_name": "DM Mathematics"
} |
4/5*k + 0 + 134/5*k**3 + 22/5*k**4 + 128/5*k**2 - 8/5*k**n = 0.
-2, -1, -1/4, 0, 6
Let r = -27 - -36. Factor 6*i + 2*i - r*i - i**2 - 16 - 7*i.
-(i + 4)**2
Let y be (-1)/3 + (-77)/(-231). Factor 12*t + y*t**3 + 23*t**2 + 69*t**2 - 16*t**2 - 38*t + 6*t**3.
2*t*(t + 13)*(3*t - 1)
Let l(p) be the first derivative of -94 + 96/5*p**2 - 3072/5*p - 1/5*p**3. Solve l(s) = 0 for s.
32
Factor -203/2*a**2 + 197/2*a**3 - 993/2*a - 297 + 1/2*a**4.
(a - 3)*(a + 1)**2*(a + 198)/2
Let n(z) = -12*z**2 + 120*z + 8. Let i(u) = -19 + 3 + 10 + 40*u - 4*u**2 + 9. Let r(s) = -8*i(s) + 3*n(s). Let r(o) = 0. What is o?
0, 10
Factor 130*x**2 - 355*x - 38*x**3 + 73*x**3 - 40*x**3 + 170 + 60.
-5*(x - 23)*(x - 2)*(x - 1)
Let a(b) = 90*b**2 + 24650*b + 1697468. Let p(g) = -18*g**2 - 4929*g - 339494. Let f(c) = -6*a(c) - 28*p(c). Find h, given that f(h) = 0.
-412/3
Suppose 7*c = 11*c + 16, 5*m + 5*c = -5. Factor 42*r - 34*r - 32*r - m*r**3 + 7*r**2 - 25*r**2.
-3*r*(r + 2)*(r + 4)
Let r(f) be the second derivative of f**4/4 - 632*f**3 + 599136*f**2 - 1591*f. Factor r(j).
3*(j - 632)**2
Let w(v) be the second derivative of 7*v + 5/12*v**4 + 5 - 1/6*v**6 - 1/4*v**5 + 0*v**3 + 5/42*v**7 + 0*v**2. Factor w(h).
5*h**2*(h - 1)**2*(h + 1)
Let i(v) be the second derivative of -5*v - 11/135*v**6 + 3 + 1/27*v**4 + 0*v**3 + 1/18*v**5 + 0*v**2 + 4/189*v**7. Determine x so that i(x) = 0.
-1/4, 0, 1, 2
Let f(g) be the second derivative of -g**5/90 + 133*g**4/54 - 1357*g**3/9 - 2645*g**2 - 772*g. Factor f(d).
-2*(d - 69)**2*(d + 5)/9
Suppose -5*l - 4*u + 7 = 0, -4*l - 9*u + 24 = 59. Let -17/3*x**2 - 4/3*x**4 - l*x**3 + 11*x + 3 = 0. What is x?
-3, -1/4, 1
Suppose 0 = -15*o + 14 + 16. Find j such that -16*j**o - 22*j + 18*j + 28*j + 20*j = 0.
0, 11/4
Factor -12*z**4 - 141376/3 - 70564/3*z**2 + 1096*z**3 - 206048/3*z.
-4*(z - 47)**2*(3*z + 4)**2/3
Let x = 894/7 + -3555/28. Suppose x*o + 1/4*o**2 + 0 = 0. What is o?
-3, 0
Let s(g) be the first derivative of 0*g**2 + 0*g - 25/9*g**4 - 1/9*g**5 - 1/540*g**6 + 29 + 13/3*g**3. Let b(w) be the third derivative of s(w). Solve b(d) = 0.
-10
Suppose -20*n + 62 = 2*l - 22*n, l - 4*n - 34 = 0. Suppose 5*m + 4*i - l = 0, -m + 4*i = 1 + 17. Suppose 5/3*z**m - 10/3*z + 5/3 = 0. What is z?
1
Let h(y) be the first derivative of -y**6/33 - 602*y**5/55 - 11549*y**4/11 - 134996*y**3/33 - 66901*y**2/11 - 44402*y/11 - 2820. Determine o so that h(o) = 0.
-149, -1
Factor 100*p - 29 + 2*p**4 + 28*p**3 - 31 - 40 - 96*p**2 + 66.
2*(p - 1)**3*(p + 17)
Let k = -189 + 191. Factor 60*x**3 + 56*x**2 + 9*x - k*x + 2*x**5 + 24*x**4 - 7*x + 18*x.
2*x*(x + 1)**3*(x + 9)
Let b(z) be the third derivative of -z**6/24 + 59*z**5/12 - 1045*z**4/8 - 12705*z**3/2 - 9102*z**2. What is j in b(j) = 0?
-7, 33
Let v(t) be the second derivative of 19*t**7/98 + 27*t**6/35 - 78*t**5/35 - 3*t**4/2 + 85*t**3/14 - 18*t**2/7 + 102*t + 1. Suppose v(u) = 0. Calculate u.
-4, -1, 3/19, 1
Let w = -2/1526187 - -6104758/7630935. Let w*m + 4/5 - 4/5*m**3 - 4/5*m**2 = 0. What is m?
-1, 1
Let v(y) be the first derivative of -2*y**3/69 - 22*y**2/23 + 3038. Find c such that v(c) = 0.
-22, 0
Let n(q) = q**3 - q**2 + 3*q - 1. Let v(p) = -55*p**3 - 1195*p**2 - 930*p + 270. Let x(b) = 10*n(b) + v(b). Factor x(l).
-5*(l + 1)*(l + 26)*(9*l - 2)
Let t(m) = 2*m**3 + 141*m**2 - 318*m + 157. Let o(i) = 9*i**3 + 567*i**2 - 1271*i + 629. Let h(c) = 3*o(c) - 11*t(c). Determine n so that h(n) = 0.
-32, 1
Let w(s) be the first derivative of -2/55*s**5 + 16/11*s + 2/11*s**3 + 49 + 2/11*s**4 - 14/11*s**2. Suppose w(n) = 0. What is n?
-2, 1, 4
Let g(r) = -558*r - 46. Let n be g(-8). Factor -40*m + 165*m + n + 63*m + 2*m**2.
2*(m + 47)**2
Let p = 1421038/5 - 284194. Solve -2/5*j**2 + p - 66/5*j = 0 for j.
-34, 1
Let f be (-20)/(-84)*(14 + (-136)/20). Factor 8/7*q**3 + 64/7 - f*q**2 - 1/7*q**4 - 32/7*q.
-(q - 4)**2*(q - 2)*(q + 2)/7
Let h(c) = c**3 + c**2 + c + 1. Let y(o) = 25*o**2 - 10*o + 5. Let j = -37 - -32. Let g(s) = s**2 + 4*s. Let w be g(j). Let m(i) = w*h(i) - y(i). Factor m(f).
5*f*(f - 3)*(f - 1)
Let k(x) be the first derivative of -64 + 1/42*x**4 + 0*x - 1/7*x**2 + 4/63*x**3. Solve k(g) = 0.
-3, 0, 1
Factor -2/15*q**2 - 77618/15 + 788/15*q.
-2*(q - 197)**2/15
Let x(s) be the third derivative of 0*s**3 - 1/54*s**4 - 46*s**2 - 1/180*s**6 + 7/270*s**5 + 0*s + 0. Factor x(b).
-2*b*(b - 2)*(3*b - 1)/9
Let a = -1013184 + 1013186. Solve -2/9 - 1/9*g**a - 1/3*g = 0 for g.
-2, -1
Let v(q) be the first derivative of -q**4/3 + 2*q**3/3 + 7*q - 63. Let c(n) be the first derivative of v(n). Suppose c(k) = 0. Calculate k.
0, 1
Let l(a) be the first derivative of -1521*a - 1/3*a**3 + 39*a**2 - 202. Factor l(s).
-(s - 39)**2
Let c(w) be the first derivative of w**4/4 - 191*w**3 - 1149*w**2/2 - 575*w + 2108. Factor c(f).
(f - 575)*(f + 1)**2
Let g be (-2)/3*(-1 + (-210)/(-183)). Let m = g - -152/305. Factor 0 + 0*p - 2/5*p**3 + m*p**2.
-2*p**2*(p - 1)/5
Factor 53*b - 141*b + 88 + 2*b**2 + 127 - 122*b - 7*b**2.
-5*(b - 1)*(b + 43)
Let y(r) be the first derivative of 3*r**4/28 - 564*r**3/7 + 159048*r**2/7 - 19934016*r/7 + 454. Let y(q) = 0. What is q?
188
Let h(y) be the second derivative of -y**4/84 - 2*y**3/7 + 27*y**2/2 + 7389*y + 2. Factor h(g).
-(g - 9)*(g + 21)/7
Let 41/5*w**4 - 648/5 - 774/5*w + 1/5*w**5 + 3*w**2 + 181/5*w**3 = 0. Calculate w.
-36, -3, -1, 2
Factor 2/15*t**2 - 2752/15 - 550/3*t.
2*(t - 1376)*(t + 1)/15
Let t be (-4)/166 + (-11366)/(-471689). Factor t - 25/4*x**3 - 13/2*x**2 + 1/4*x**4 + 0*x.
x**2*(x - 26)*(x + 1)/4
Let g(r) = 6*r + 9*r + r**3 - 11*r**2 + 11*r + 5*r**2 - 43*r + 73. Let l be g(7). Factor -1/2*o - o**l + 1 - 5/2*o**2.
-(o + 1)*(o + 2)*(2*o - 1)/2
Factor -80*p - 1328*p + 83 - 177*p - 613 + 15*p**2.
5*(p - 106)*(3*p + 1)
Find i, given that -6*i**4 + 0 + 6/5*i**5 + 18/5*i**3 - 24/5*i + 6*i**2 = 0.
-1, 0, 1, 4
Let v(r) be the third derivative of r**5/150 - 91*r**4/180 - 62*r**3/45 + 37*r**2. Factor v(s).
2*(s - 31)*(3*s + 2)/15
Determine b so that -60*b**3 + 14*b**4 + 45*b**2 + 11*b**4 + 419602*b - 419612*b = 0.
0, 2/5, 1
Let b = -595 + 833. Determine s, given that 8*s**3 - 248*s + 5*s**2 + b*s - 3*s**3 = 0.
-2, 0, 1
Let m = 17 + 9. Let i be (m/(-39))/((-2)/15). Factor 48*d**2 + 42*d**4 - 32*d + 120*d**3 - 9*d**i + 21*d**5 + 26*d**4.
4*d*(d + 2)**3*(3*d - 1)
Suppose 261 = 26*w - 181. Let d(u) = -2*u**2 + 34*u + 3. Let p be d(w). Let 1/3*b**4 + 0*b + b**p + 0*b**2 + 0 = 0. Calculate b.
-3, 0
Let w(s) = -217 + 105 - 28*s**2 + 49*s - 12*s + 51*s + 4*s. Let c(k) = 18*k**2 - 61*k + 75. Let r(l) = -8*c(l) - 5*w(l). Let r(m) = 0. Calculate m.
2, 5
Let o(s) be the second derivative of s**4/78 - 71*s**3/39 - 146*s**2/13 - 546*s. Solve o(p) = 0.
-2, 73
Suppose -224*c - 280 = -1176. Let i(h) be the third derivative of 2/35*h**5 + 1/210*h**6 + 11/42*h**c + 0*h + 0 + 4/7*h**3 - 17*h**2. Factor i(k).
4*(k + 1)*(k + 2)*(k + 3)/7
Find c, given that 1/4*c**2 + 43/4*c - 47 = 0.
-47, 4
Let -45 + 49*j**3 - 9*j**3 + 117 + 102*j + 33*j**2 - 32*j**3 - 5*j**3 = 0. Calculate j.
-6, -4, -1
Suppose -6*y = -25*y + 228. Suppose -16 = -4*z + 2*f, -5*z - 5*f + y + 8 = 0. Let -9/4*x**2 + 3/4*x**z + 3/4*x**3 - 3/4*x + 3/2 = 0. What is x?
-2, -1, 1
Let c = -251 - -253. Suppose -5*x + 10 = -2*n, -2*x + c*n = -3*x - 10. Solve 14/9*g**5 + 4/3*g**2 + x + 8/3*g**4 + 0*g - 50/9*g**3 = 0.
-3, 0, 2/7, 1
Let x(r) be the first derivative of 30 + 22*r**2 + 4*r + 157/3*r**3 + 81/5*r**5 + 99/2*r**4. Factor x(p).
(p + 1)**2*(9*p + 2)**2
Let m be -24*(-18)/1728 - 1/(-2). Let s(z) be the second derivative of m*z**2 + 0 - 1/24*z**3 - 20*z - 1/8*z**4 + 1/80*z**5. Factor s(v).
(v - 6)*(v - 1)*(v + 1)/4
Let c(l) = 11*l**4 + 19*l**3 - 15*l**2 - 13*l + 16. Let h(o) = 6*o**4 + 2*o**3 - o**2 + o + 1. Let k(x) = -c(x) + 2*h(x). Let k(g) = 0. Calculate g.
-1, 1, 14
Let z(l) be the second derivative of -l**4/30 - 4*l**3/3 + 96*l**2/5 - 1735*l. Solve z(h) = 0 for h.
-24, 4
Let c(g) = -3*g**2 + 3*g - 3. Let n(j) = 245*j**2 - 965*j + 770. Let r(t) = 25*c(t) - n(t). Factor r(u).
-5*(8*u - 13)**2
Let p(g) be the first derivative of -g**6/15 + 66*g**5/25 + 189*g**4/10 + 118*g**3/15 - 156*g**2 - 1368*g/5 + 6766. Find t, given that p(t) = 0.
-3, -1, 2, 38
Let z(n) = -2*n**4 + n**3 + n**2 + 1. Let g(l) = 21*l**4 - 10*l**3 - l**2 + 8*l - 11. Let x(b) = 4*g(b) + 44 | {
"pile_set_name": "DM Mathematics"
} |
21*p - 18. Let d(t) = -5*i(t) + 4*x(t). Is d(15) a composite number?
False
Let f(a) be the second derivative of a**5/20 - a**4/2 + a**3/6 - 3*a**2/2 + 2*a. Is f(6) a prime number?
True
Let n = 72 + 87. Is n a composite number?
True
Suppose 841 = 5*l + 331. Is (20/(-12))/((-2)/l) composite?
True
Suppose 5*d = -15, 2*a + a = -d + 9. Let l be 26/a - 2/4. Suppose -o + 3*i = -10, 0*i + l = -3*i. Is o a composite number?
True
Let t = 2050 + -1455. Suppose 4*n - n - t = -4*o, -2*o - 3*n = -305. Is o a prime number?
False
Suppose -5*r - 4*w + 0*w = -30, -2*w = r - 12. Suppose 0 = 4*i - 8, r*i = 5*d - 6 - 25. Is d prime?
True
Suppose 2193 = 3*u - 3*m - 6117, -3*m + 8316 = 3*u. Is u a composite number?
True
Suppose -2*a = 5*c - 1624, 770 - 2059 = -4*c - 5*a. Is c composite?
True
Let k(s) = -s**3 + 15*s**2 + 9*s + 7. Is k(15) a composite number?
True
Let c = 1927 - 1062. Is c a prime number?
False
Is 4/(-3) - 10150/(-30) a prime number?
True
Let u(n) = -4*n + 8*n**2 - 3*n**2 + 3 + n. Is u(5) a prime number?
True
Suppose 3*a = 2*a + 15. Suppose 2*u = -u + a. Suppose -u*n + 37 + 38 = 0. Is n a prime number?
False
Is ((-94)/6 - -3)/(6/(-117)) composite?
True
Suppose q + 0*q = 5*k - 31, 5*k = -q + 19. Let j be 4/q*(13 + -1). Is 2/j + 189/4 a prime number?
True
Suppose 4*s + s + 10 = 0. Is (s/(-6))/(6/3654) prime?
False
Let z = 13 - 9. Suppose 16 = z*v - 8. Suppose -81 + v = -5*s. Is s a composite number?
True
Suppose h - 1 - 1 = 0, -3*p - 2*h + 2233 = 0. Is p composite?
False
Is (516/(-8))/(3/(-2)) composite?
False
Let s = -2 + 0. Let o = 21 + s. Is o composite?
False
Let h = 292 - 157. Let f(a) = 9*a - 5. Let z be f(7). Let d = h - z. Is d composite?
True
Suppose 1590 + 2033 = 3*t + 4*i, 0 = -3*t + i + 3598. Is t a composite number?
False
Let y = 37 + -52. Let u be 4*5/(y/(-12)). Is (1 - u)/((-3)/2) prime?
False
Is 134*(4 - (-10)/(-4)) composite?
True
Suppose 0*q = q - 789. Is q composite?
True
Let h = 5 - -27. Is (56/h)/((-2)/(-8)) a prime number?
True
Let h = -423 - -1960. Is h a composite number?
True
Suppose 0 + 6 = 3*x. Suppose 7*a = 2*a - 5*l + 115, x*l = a - 32. Is a composite?
True
Suppose 99 = 4*i - z, -113 - 6 = -4*i - 3*z. Let v = i - 12. Is v a composite number?
True
Let u(y) = 2*y**2 - 2*y - 7. Is u(-5) composite?
False
Let v be 9 + -7 - (0 - 2). Let w(g) be the third derivative of g**6/60 - g**5/12 - g**4/24 - g**3/6 + 2*g**2. Is w(v) prime?
True
Is (-2 - 1) + (-6)/9*-3333 prime?
False
Let t be (-2)/(6/33)*-1. Suppose -t - 11 = -b. Is b a prime number?
False
Let u = 5 + 0. Let q(o) = 3*o**2 - o - u + 4*o - o. Is q(-4) composite?
True
Is (-24104)/(-72) + (-4)/(-18) prime?
False
Suppose -v + 4 = -3. Suppose v*q - 3*q = 124. Is q a prime number?
True
Let v(j) = -j. Let a(p) = -52*p + 4. Let r(w) = -a(w) + 2*v(w). Is r(3) a prime number?
False
Suppose 5*p = 1941 - 36. Is p a prime number?
False
Is (4/(-6))/((-4)/354) a composite number?
False
Suppose -15 = -2*o - 3*o. Suppose 3*m + 2*m = -10, 2*k - 3*m - 4 = 0. Let p = k + o. Is p a composite number?
False
Suppose 0 = -3*c - 4*h - h + 13034, 5*c = 5*h + 21790. Is c composite?
True
Let d = -393 - 135. Is d/(-15) + (-1)/5 a prime number?
False
Is 568/12*(2 + 1) a prime number?
False
Let a = 26 + 20. Is a prime?
False
Let y(x) = -5*x**2 - 7*x + 7. Let q(w) = 4*w**2 + 6*w - 7. Let j(f) = -6*q(f) - 5*y(f). Suppose 2*m - 6 = m. Is j(m) a prime number?
True
Suppose x = n + 237, x = 2*n + 336 - 97. Is x prime?
False
Suppose r = 3*r - 14. Let g = 3 + r. Is g a composite number?
True
Let j(b) = 105*b + 8. Is j(3) composite?
True
Let d = -14 + 25. Suppose 2*v - 4*j = -9 - d, -25 = -v - 5*j. Suppose 4*q + q - 455 = v. Is q composite?
True
Let i be 5 + ((-4)/(-2))/(-2). Suppose -618 = -i*t + m, 4*t - 616 = 3*m - m. Is t composite?
True
Let g(v) = 2*v - 12. Let k be g(8). Suppose k*n = 2*b - 3*b + 45, 3*b = 2*n + 177. Is b a composite number?
True
Suppose 0 = -2*a - 3*p + 529, p + p = 3*a - 787. Is a a composite number?
False
Let p be 102/((-9)/(-6) + -1). Suppose 2*w + 2*w = p. Let m = -26 + w. Is m a prime number?
False
Suppose -5*h = -2*o - 3*h + 420, -5*o = 4*h - 1014. Is o a composite number?
True
Let q(h) = -11*h**3 + h**2 + 2*h + 1. Let g be q(-1). Suppose 6*r = g*r - 1965. Is r composite?
True
Let k(a) = 15*a**2 + 1 - 2*a**2 + 0*a**2. Is k(-2) composite?
False
Is ((-502)/(-4))/((-3)/(-6)) a composite number?
False
Let g be 112/3 - 4/(-6). Let z be (-2)/9 - g/(-9). Suppose -3*p = 2*k - 155, z*k + 383 - 143 = 4*p. Is p a prime number?
False
Suppose -z = -3*z + p + 446, -4*p = -3*z + 659. Suppose z = 3*h - 3*m, -m + 4*m = 6. Is h composite?
True
Let d(x) be the second derivative of 10*x**3/3 + 3*x**2 - 3*x. Is d(4) a composite number?
True
Suppose 0*n + 4 = -k - 2*n, 4*k - 4*n = 20. Suppose -p + 11 = 2*h + k*h, 4*h + 5*p = 7. Let x(j) = 5*j + 4. Is x(h) a composite number?
False
Let j = -4 - -6. Suppose -j*z - 70 = a - 235, 0 = 3*a + 2*z - 479. Is a composite?
False
Let k = -246 + 533. Is k a composite number?
True
Suppose -451 = -8*d + 1301. Is d composite?
True
Suppose 0 = -c + 6*c - 235. Is c composite?
False
Let n(p) = p**2 - p. Let k be n(-5). Suppose -f = k - 88. Is f composite?
True
Let b(c) = c - 1. Let m be b(1). Is m + -1 + (-76)/(-2) a prime number?
True
Let u be (17 - 18) + 3*1. Suppose 62 = 4*z - u*z. Is z composite?
False
Let o be (-4 - -7)*(-14)/(-6). Let j(a) = a**2 - 5*a - 1. Is j(o) composite?
False
Suppose u = -2 - 3. Let h be 2085/u*2/(-3). Suppose 4*a - h = -3*l - 29, -3*a - 386 = -5*l. Is l a composite number?
False
Let h = -7 - -564. Is h a prime number?
True
Let n(d) = -4*d + 27*d**2 + 7*d - 7*d + 2. Is n(3) composite?
False
Suppose n + 2*n = 3*i + 393, -234 = -2*n - 5*i. Is n a prime number?
True
Let c be 4*-6*(-125)/4. Suppose r + 3*r - c = -2*p, 4*r = -p + 367. Let a = p + -192. Is a a composite number?
False
Suppose -4*n - 4 = 3*k, 0 = -4*k + 5*n - 10*n - 6. Let l = k - -8. Suppose -o - l*p = -195, -3*p + 2*p = 2. Is o prime?
False
Let s be ((-3)/3)/(0 - -1). Suppose 5 = -5*k, 5*x - x = -4*k. Is (x/1 + -27)*s a composite number?
True
Let f(g) = 25*g - 13. Let m(d) = 6*d - 3. Let r(q) = -2*f(q) + 9*m(q). Let k be r(8). Let n = -12 + k. Is n a prime number?
True
Suppose t - 4*d = 35, -5*t + 2*d - 7*d = -250. Is t a composite number?
False
Suppose v + 49 = d, 2*d + 6*v - v - 84 = 0. Suppose -3*p - 4*a - d = 0, 5*p + 5*a = 3*a - 69. Let u = 44 - p. Is u composite?
True
Suppose -4*w - 90 + 1150 = 0. Is (0/3 + w)/1 a prime number?
False
Let d = 1183 + -174. Is d a prime number?
True
Let i be 5/(-15) + 22/3. Let j = 9 - i. Suppose 0 = j*o - 3*b - 32, -37 = -2*o - b + 3. Is o a prime number?
True
Let g(o) = o + 97. Is g(0) a prime number?
True
Let j = 510 + -272. Suppose -5*u + j = -327. Is u a composite number?
False
Suppose c = -m - 10, 9 = -3*c + 2*m - 1. Let d(j) = j**3 + 7*j**2 + 2*j + 10. Let l be d(-7). Is (0 + c/4)*l a composite number?
True
Suppose 0 = -i - 38 + 163. Suppose -2*h = -3*f + 79, -h + 3*h + i = 5*f. Is f a composite number?
False
Suppose 0*d = -a + 3*d + 18, 2*a - 1 = -d. Suppose -c = a - 14. Is c a prime number?
True
Let f(h) = -6*h - 5. Suppose -3*g - 13 = 2. Let r be f(g). Suppose -3*b = -r - 32. Is b a prime number?
True
Let j be 0/((2/1)/2). Let c = 7 - j. Let n = c - 0. Is n a prime number?
True
Let g be 1/(-1)*(-33 + 0). Suppose 0 = 3*a + 3*t - g, 46 = -0*a + 4*a + 3*t. Is a a composite number?
False
Suppose -5*f + 43 = -2. Suppose -y + 3 = -f. Let m = 11 + y. Is m a prime number?
True
Let w be 2539/3 + 16/24. Let z = -474 + w. Is z a prime number?
True
Let y be 7/(-1)*(-6)/(-7). Let h(k) = -k**2 - 13*k + 3. Let a be h(-13). Is 1*(-20)/y*a prime?
False
Let o(d) = 493*d**2 - 3*d - 1. Let g be o(-2). Suppose -3947 = -4*p + g. Is p composite?
False
Let r(j) = 1 + 5*j - 5*j + 17*j + 5*j. Is r(3) a prime number?
True
Let n be (6/9)/((-4)/(-78)). Let f = 68 - n. Is f prime?
False
Let r be (4/(-4))/((-2)/46). Let z = 10 + r. Is z prime?
False
Let o(l) = l + 4. Let m be o(-5). Let d(f) = -33*f**2 + 2*f + 1. Let h be d(m). Let j = h - -47. Is j a prime number?
True
Let q = 9 - -146. Is q a composite number?
True
Let p(n) = -2*n - 5*n - 18*n - 1 - 3*n. Is p(-4) composite?
True
Suppose 208 = 3*p - 3*y + 8*y, 0 = -5*y + 10. Let v = p + -35. Suppose -v = -4*n - 3*z | {
"pile_set_name": "DM Mathematics"
} |
2*i - i - 5*v - 18 = 0, -v + 9 = -2*i. Let l(w) = -4*w - 25. Let z be l(i). Suppose 4*b - z = b. Which is smaller: -3/19 or b?
-3/19
Let d(s) = 9*s + 32. Let w = -165 + 152. Let y be d(w). Which is greater: y or -82?
-82
Let p = -0.114 - -2.114. Let h = -59.9 + 82.06. Let g = h - 0.16. Which is smaller: p or g?
p
Let r = 0.93 + -12.93. Let o = -12.1 - r. Suppose -2*z = -6*z + 4. Which is greater: o or z?
z
Let h(v) = -11*v**2 + 11*v**2 + v**3 - 6*v**2 - 5*v - 2. Let u be h(6). Is u != -32?
False
Let m(g) = g**2 - g + 2. Let w be ((-3)/(-4))/((-33)/(-88)). Let x be m(w). Let n be 1/(1/x*4). Is n greater than -0.14?
True
Let r = 5946 - 33707. Which is smaller: 0 or r?
r
Let c(u) = 17*u - 1370. Let h be c(72). Is -160 less than h?
True
Let v be ((-106)/(-88828))/(3*15/36). Which is bigger: v or 1?
1
Suppose -136 = -5*b - 3*d, 0 = b + d - 2*d - 24. Let t = b - 14. Suppose 150 = -16*q + 342. Is q not equal to t?
False
Let z be 48/10 + (-2)/(-10). Suppose z*v + 4*u = 0, -3*v - u = -v - 3. Suppose 0 = -5*o - 11 - v. Which is greater: -4 or o?
o
Let g = 297.1 + -0.1. Let w = g + -297.2. Which is greater: 8 or w?
8
Let z = -12034 - -13539. Which is greater: 1 or z?
z
Let s(c) = c**2 - 3*c + 42. Let j(o) = -4*o. Let n be j(0). Let y be s(n). Let x = -96 + y. Which is smaller: x or -52?
x
Suppose 0 = -25*u - 43520 - 65655. Is u >= 0.1?
False
Let d be (3 - 1)*(26/(-52))/(-1). Is d at least as big as -2/13083?
True
Let v = 6990 + -27239/4. Let f = -174 + v. Let z = 138 + -133. Which is greater: z or f?
f
Let b = 3/2060 + -17769/1030. Let n be (-9)/(135/12) + (-48)/(-10). Suppose 0 = -5*a - 2*l - 86, -78 = 4*a - n*l + l. Which is smaller: a or b?
a
Suppose -9*m = 3*m + 3*m - 180. Which is greater: m or 332?
332
Let w = -2 - -1.8. Let p = 1.2 + w. Let v = 3.063 - 1.663. Which is smaller: p or v?
p
Let a(x) = x**3 - 14*x**2 + 7*x + 1. Let w be a(9). Let j = 1840 + -2180. Which is greater: w or j?
j
Suppose 20 = -4*r + 14*r. Suppose -r*y = 5*j, j + 3*j = 0. Is -2/343 less than y?
True
Let z = -129 - 164. Let q = 291 + z. Is 93 equal to q?
False
Suppose 0 = 4*k - 33 + 49, 4*k - 1667 = q. Is -1683 smaller than q?
False
Let o be ((-6795)/(-10))/(-9)*(35 + -33). Suppose -261 = 4*z + 347. Which is bigger: o or z?
o
Let k be (-66707)/164*(-20)/(-5). Is k bigger than -1627?
False
Let j = -393.9936 - -397. Let i = 0.0064 - j. Which is smaller: 38 or i?
i
Let u = -442095/13 - -34081. Is 73 greater than u?
False
Let v = -20.709 + -3347.291. Which is bigger: v or 1?
1
Let t be (-21)/6*2/5. Suppose 184 - 122 = -62*z. Which is smaller: z or t?
t
Suppose -12 = -q - q. Let n be (-360)/(-54)*30/(-25). Let c be (-24)/n - (20/(-4) + 2). Does q = c?
True
Suppose 0 = -k - 4 + 10, -5*k - 1235 = 5*a. Are -250 and a nonequal?
True
Let p be (-13)/(221/255) + 15. Which is smaller: -25/66 or p?
-25/66
Suppose 4*t + 12 = 0, 5*n + 0*t = -4*t + 158. Suppose n = -w + 32. Let y be ((-3)/9)/(4/(-42))*w. Which is smaller: y or -8?
-8
Suppose -187*x = 144*x - 3*x - 1633768. Which is smaller: 4982 or x?
x
Let l = 6740 - 6731. Let f = 2.03 - 0.03. Let s = f - 3. Is l less than or equal to s?
False
Let u(y) = -y - 5. Let v be u(-7). Let q(g) = g**2 - 2*g - 2. Let m be q(v). Let z be 1 + 2/1 + m. Is 0 at most z?
True
Let p(i) = 3*i**3 - 16*i**2 + 4*i + 2. Let f be p(6). Is 102 >= f?
True
Suppose 21 = -5*w + 16. Which is smaller: w or 1/1390?
w
Suppose 5*l + 2*i - 20 = -78, -2*l = -3*i + 27. Let c be ((-12)/9)/(l/54). Let o be c/15 - (123/420 - 0). Which is bigger: -1 or o?
o
Let s = 35476 - 35475.9. Which is bigger: -16069 or s?
s
Let z be (-15)/(-396)*(679/(-350) - -2). Are z and 1 equal?
False
Let o(n) = -n**2 + 23*n + 106. Let u be o(-4). Which is smaller: u or -140/81?
u
Suppose 3*g - 685 = -3*z + z, -z + 5 = 0. Let f = -195 + g. Do 30 and f have different values?
False
Suppose 0 = 22*c - 139 - 3843. Suppose 1259 = 36*h - c. Is h smaller than 161/4?
True
Let w = 223 + -222.991. Let k = -0.029 + w. Is k smaller than 0.2?
True
Let i be -8 - -1 - (-9 + (-1951512)/(-975787)). Are i and 1 non-equal?
True
Let i be (14910/830 - 18)*(-2)/(-6). Let o be (8/(-3))/(2/9). Let v be 3*(1 - (-16)/o). Is i bigger than v?
True
Let f = -13.8368 + -0.1632. Let x = -2 - -1.9. Is x bigger than f?
True
Let f be (-1107)/861 - (12/(-3) - (-1 + -2)). Which is smaller: 12882 or f?
f
Suppose -3*a + 37 = 4*k, -3*k + 5*a + 19 = -45. Let r(b) = -b - 12. Let v be r(-7). Let m(i) = i**2 + 2*i - 3. Let o be m(v). Do k and o have different values?
True
Suppose 2*d = 685 - 1809. Is -557 greater than d?
True
Suppose -5*p + 5*o - 85 = 0, -5*p - 4*o - 29 = 65. Is -284/15 < p?
True
Let v = -17063/6 + 2844. Which is smaller: v or -752?
-752
Let s = 234 + -72. Let q = s - 79. Let a = 8.5 + -8.5. Is a at least q?
False
Let z = -55 + 58. Suppose 2 = -z*j - 67. Let p = -37 - j. Are -12 and p non-equal?
True
Suppose -1 = 4*m - 3*m. Let r = -47566/123 - -3096389/3936. Let h = -400 + r. Which is bigger: h or m?
h
Let p be 24/56 + 10115/(-49). Which is smaller: p or -217?
-217
Let g be (73/(-292))/((-1052)/1568). Is g less than 0?
False
Suppose -b = -2*b - 3. Let k = -6 - b. Let g be (k/4)/(294/112). Is 8 at least as big as g?
True
Let c = 40.39 + -41. Let r = 0.505 + c. Let o = -0.205 - r. Which is bigger: 45 or o?
45
Let g be 0 + -2 - ((-3)/(-1) - 7). Let c be (206 - 0)*g/(-4). Is -103 greater than or equal to c?
True
Let z = 3.78651 - 3.76651. Let c = 0.02 + 1.58. Are z and c non-equal?
True
Suppose 5*c = -4*p + 3*c, 4*c = 3*p. Suppose -4*l - 3 - 1 = p. Let b = -9.0264 + 0.0264. Is b not equal to l?
True
Suppose 5*m + 5 = 4*k - 3*k, 0 = -2*m - 2. Let s(q) = q**3 + q**2 + 2*q + 4. Let c be s(k). Which is smaller: c or 5/2?
5/2
Let m = -11/14 - -219/154. Let v be -5 + 1 - (-6 - 2). Suppose 0 = -v*t - 17 + 25. Are t and m nonequal?
True
Let g = -35.52 - 296.28. Let s = g + 330. Which is smaller: s or -5/3?
s
Let w = -2 - -10. Let m be (-4)/w + (-182)/(-4). Let g = -29 + m. Is 16 less than or equal to g?
True
Let j be (-26786)/6697 - (5 + (22 - 31)). Which is bigger: j or -1?
j
Let o(z) = 6*z**2 - 159*z - 577. Let g be o(35). Which is smaller: 4827/4 or g?
4827/4
Let n be 12/(-9) - 448/(-84). Let k be (3 + -495)*8/6. Let z = -3266/5 - k. Which is bigger: z or n?
n
Let y = 1 - 4. Suppose -2*w - 319 - 63 = 0. Let q = w + 186. Does q = y?
False
Suppose 13*m + 4 = -22. Let d be ((-411)/6 - 2)*m/6. Which is smaller: 23 or d?
23
Let z = 26 - 336/13. Let p = -6 - -9. Suppose -p*y = -3 - 3, 4*u - 42 = -5*y. Is z greater than or equal to u?
False
Let z = 54 + -65. Let p = -15 - z. Let l be 9/(-6) - 2/p. Which is bigger: 1 or l?
1
Suppose -k + 2743 = -5*g, -1 - 5 = 3*k. Let s be g/(-114)*2 - (-3)/(-1). Are s and 7 equal?
False
Let r = 25 - 10. Suppose r*k - 11*k = -1852. Which is greater: k or 2/7?
2/7
Let h(m) = -m**3 + 12*m**2 - 20*m. Let q be h(10). Suppose 6*t = 3*t + 2*f + 10, q = -2*t - 4*f - 20. Is t <= -2.3?
False
Let n = 35151 + -35141. Which is smaller: n or -39?
-39
Let p be (22/10 + -1)*6565/21008. Let x be 0/(-3) + -1 + 1. Which is smaller: p or x?
x
Let u = 270 - 114. Let o = u - 155. Is 24 < o?
False
Let p = 9733.37 + -9733. Which is bigger: p or -33?
p
Suppose 2*n - 2*q = -n + 29, -2*q = -2*n + 18. Suppose -n*t = 441 + 417. Is t equal to -80?
False
Let w(g) = -4*g + 4. Let p be w(3). Let l(m) = 2*m**2 + 14*m - 7. Let i be l(-7). Let o = i - p. Is -3/23 < o?
True
Let n(u) = 3*u**3 - 9*u**2 + 7*u - 6. Let c be n(16). Does 10089 = c?
False
Let a be ((-326)/10)/(1/10*-2). Is a smaller than 52?
False
Let o(i) = -3*i + 2. Let k(r) = -7*r + 3. Let h(l) = -4*k(l) + 10*o(l). Let t be h(8). Let x = t - -105. Are x and -1 equal?
False
Suppose 4*k - 11 - 25 = 0. Suppose -204*n - 540 - 2250 = -390*n. Which is greater: n or k?
n
Let y be 3970/(-2865) + 2 + 8/(-12). Is y equal to 0?
False
Suppose 4*s - r = -3*r - 758, 4*s + r = -763. Let z be 18/(-30) - s/10. Let y be 12/(-7) + 61 + -59. Are y and z unequal?
True
Suppose 30*j - 32*j = -216. Let g = j + -26. Is 81 at most g?
True
Let i be (-3)/(9/109) + (-112)/168. Let j be 24*((-9)/2 - -3). Which is smaller: j or i?
i
Let d = 0.338 - 0.619. Let t = d + 0.471. Do -0.7 and t have the same value?
False
Let k be 1 - -12*(4 - 56/12). Let y be (-96)/(-51) + (3 + k - -2). Which is greater: y or 0.4?
0. | {
"pile_set_name": "DM Mathematics"
} |
))/r)*r**(2/45)*(r**10)**(1/2) assuming r is positive.
r**(1259/180)
Simplify (((j*j**0*j*j)/j)**(2/3))**(-31)*(j*j**(1/2)*j*j*j/j**(-1))/(j**(-1/2))**(-21) assuming j is positive.
j**(-139/3)
Simplify (s**4*(s*s**(-2/9))/s)/(s/((s/(s**(2/3)*s))/s)*s)**(-3/5)*(((s/(s*s/s**2))/s)/s**4)/(s**(-1))**14 assuming s is positive.
s**(719/45)
Simplify (((w**(-2/7)/w)/w)**31)**(-4/11)*(w*(w**(-1/4)/w)/w)**(-5/14)/(w**(2/7)/(w/(w*w**6))) assuming w is positive.
w**(12275/616)
Simplify m**0*m**(-1/4)*(m**(-1)*m)**39*((m*((m**(-2/15)*m)/m)/m*m)/m)/(m**6*m)*(m*m**0*m)**(28/5) assuming m is positive.
m**(229/60)
Simplify (k*k**(-5))/(k/(k*k*(k**5*k*k)/k*k))*((k/(k/(k**(-1/2)/k*k)))/k)**45*k**0*(k*k**5)/k*k*k*k*(k*k**(-2/5)/k*k)/k*k*(k**3*k)/k*k assuming k is positive.
k**(-509/10)
Simplify (w/((w**0*w*w)/w))**(2/9)/(w**(-1/2)*w)**(11/4)*((w/(w**5*w))**(-1/6))**(2/55) assuming w is positive.
w**(-355/264)
Simplify (n**1/(n/(n*n**(-5)*n*n)))/(n*(n/(n/((n**(1/4)/n)/n)))/n*n*n*n*n*n**(-2))*(n/n**(-1))**(1/11)*n*n*n**(2/5)*n**(2/15) assuming n is positive.
n**(307/660)
Simplify (d**(-1/13)*d**(4/5))**(-33)*(d**(2/7)*d)**(-22)/((d**4*d)/d**(-4/3)) assuming d is positive.
d**(-79826/1365)
Simplify (o**(-42)/o**(-2/53))/(o**(-2/27)*o*o**(-18)) assuming o is positive.
o**(-35615/1431)
Simplify ((n**(-2))**30*n**6*(n/n**(-5/6)*n)/n*n)/((n/n**(1/5))/n**3)**(-1/11) assuming n is positive.
n**(-1541/30)
Simplify (((t/(t**(-7/3)/t*t))/t**(-4/11))/(((t*t**(-1)*t)/t)/t**(-1/22)))**12 assuming t is positive.
t**(482/11)
Simplify (t**(-2/3)/t**(-2/9))**13/((t**(-1))**(12/11)*t**2*t*t/(t**(2/15)/t)) assuming t is positive.
t**(-4729/495)
Simplify (f/(f/f**(-1/3)))**(3/35)/((f*f*f**(-8)*f)/((f/(f*f/f**(-8)))/f*f))*(f**3/(((f*f**(-2/7))/f)/f))**38 assuming f is positive.
f**(5559/35)
Simplify ((((t/t**(1/4))/t)**(5/9)/(t**9*t**(-1)))**(2/39))**(-27/2) assuming t is positive.
t**(293/52)
Simplify ((p**8/p**5)/(p**(-2)/(p*p/(p/(p/(p**(-5)/p))))))**(-35) assuming p is positive.
p**(-455)
Simplify ((o/(o*o**(-4/21)))/o*(o/o**(1/8))/o*o*(o**(3/5))**(22/5))**(-46) assuming o is positive.
o**(-261349/2100)
Simplify (r**(-4)*r**(1/2)/r)/((r**(3/4)/r)/((r/r**(6/11))/r))*(r*r/(r/((r**(-2/13)*r)/r)*r)*r*r*r**(-10/7)*r*r)**(-2/21) assuming r is positive.
r**(-422581/84084)
Simplify (((f**(1/6)*f)/f)/f*(f*f/f**(1/10)*f*f)/f)**36/(((f*f/f**0)/f)/(f/f**1*f)*f**7*f**8) assuming f is positive.
f**(297/5)
Simplify ((b/b**(-14))**20/(b*b*b/(b*b/((b*b/(b*((b/(b/(b/b**(-11))))/b)/b))/b)*b)*b*b*b*b)**29)**(-5) assuming b is positive.
b**(-2370)
Simplify ((g*g**(9/4))/(g/g**(-8))*g**3*g*g*g*g**(-1)/g*g)/((g**2)**(-32)/(g**(-2/5)/g*(g/g**(1/3))/g)) assuming g is positive.
g**(3691/60)
Simplify ((c**(-5/3)*c/(c/c**(-1/13)))/(c**(1/3)/c**(-2/3)))/(c*(c*c*c**(-5/3))/c*c*c/(c*c**(6/7)))**33 assuming c is positive.
c**(-5039/273)
Simplify ((f*f**0)/f**(-3))/(f*f**(-5)*f**(-5))*((f/(f**(-1/2)/f))/(f**(1/2)*f))**42 assuming f is positive.
f**55
Simplify ((x**(1/3))**41)**(-49)*(x*x*x**(-3/7))/(x*x/(x/(x**(-2/3)*x)))*(x*x**5)/(((x**(-1/7)/x)/x)/x) assuming x is positive.
x**(-4622/7)
Simplify (r*r/(r**(-11/4)/r*r)*r/r**20*r*(r/(r**(-7/6)/r))/r**34)**(15/2) assuming r is positive.
r**(-2645/8)
Simplify ((h*h/(h*h*h**(-1/9)*h))**(-9/8)*h**(1/10)/(h/h**6*h))**(-26) assuming h is positive.
h**(-663/5)
Simplify ((d**(4/9)*d/(d**(2/11)*d)*d)/(d**6/d**3))/(((d*d*d*d*(d*(((d**3/d*d)/d)/d)/d*d)/d*d)/(d/d**(3/8)))/(d*d*d**1*d*d)**(-7)) assuming d is positive.
d**(-33353/792)
Simplify ((g**(3/7)/(g**(3/7)/g))/(((g*g*g/((g*g/g**5*g)/g*g)*g)/g*g)/(g/g**(-5))))/(g*(g/g**4)/g*g*g**(-2/15)*(g**(2/3))**(-33)) assuming g is positive.
g**(377/15)
Simplify ((k*k**(-8/3)*k)/(k*k*(k/k**(2/13))/k))/(k*k/(k**(-14)*k))**13 assuming k is positive.
k**(-7703/39)
Simplify ((n**(-1))**(-2/29)/(n**(-3/8)/n**(5/4)))**(-23) assuming n is positive.
n**(-9039/232)
Simplify (o**(-6)*o**(-3))**(-2/51)*(o**(3/4)*o/(o*o*o*o**(2/7)))/(((o/o**(-1))/o*o)/o**2) assuming o is positive.
o**(-563/476)
Simplify (((f**(-2/3)*f)/(f**(-14)*f))/(f**(-4))**(-23/3))**(2/43) assuming f is positive.
f**(-104/129)
Simplify ((((o**(2/57)*o)/o)/o)**31*(o/o**(-4/13)*o)**43)**(-49) assuming o is positive.
o**(-2516885/741)
Simplify (a**20*a*a**(-3/19)*(a**(-14)/a)/(a**25/a))**(2/65) assuming a is positive.
a**(-138/247)
Simplify ((m**15*m)**(23/3)/(m/m**0*m)**(2/27))**(1/5) assuming m is positive.
m**(3308/135)
Simplify (((((q*q*q**(-2/5)/q*q)/q*q*q*q)/(((q/(q/q**(-1/2)))/q)/q*q))**22)**33)**(1/9) assuming q is positive.
q**(2057/5)
Simplify (j/(j**(-1/4)*j)*j*j*j**(1/7)*(j*(j/(j**1/j)*j*j)/j)**(17/2))/((j*(j*j**3/j)/j)/(j/((j*j*j*j**(-1/3))/j)))**(8/3) assuming j is positive.
j**(4565/252)
Simplify (b**(-2)*b)**(1/2)*(b*b*b*b**1*b)/(b*b**(3/8))*((b/(b/(b*b/((b*b*b**2)/b))))/b*b**(4/9)/b)/((b*b/(b**(1/5)/b))/b*b**(-3/4)/b*b) assuming b is positive.
b**(-173/360)
Simplify (s/s**(-1))**(2/107)/((s**(-2/5)/s*s)/s**(-1))*(s**(-6/5)*s*s**(-1/4)/s*s)**(-34) assuming s is positive.
s**(15769/1070)
Simplify ((((h/h**(2/3))/h)/h)/h**(-4))**(2/13)/(h**(-1/4)/(h*h**(-1/3)/h)*h**1*(h*h*(h/(h*h**4*h))/h*h*h*h*h)/h*h) assuming h is positive.
h**(-113/156)
Simplify ((s*s**2)/(s/(s**9/s)))/(s**7/(s**3*s))*(s**(-2/3)/s**7)/(s**(-2/15)/(s**(-3/2)/s)) assuming s is positive.
s**(-91/30)
Simplify (m*m/m**(1/4)*m*(m/(m*m**(-1)))/m*m*m**(-5)*m/(m*(m**0*m)/m))/(m**(-3)/m**(-3/5))**26 assuming m is positive.
m**(1223/20)
Simplify (v/(v**5/v))/(v*v**5/v)*((((v**1*v)/v)/v*v)/v)**(-1/17)*v**(-2)/v**(-1/5)*(v**1*v)**(14/13) assuming v is positive.
v**(-497/65)
Simplify ((((y/y**(13/3))/(y/(y/(y*y*y**(-6)))))**(-2/61))**(-2/23))**15 assuming y is positive.
y**(40/1403)
Simplify ((o/(o**(1/6)/o))**(26/3)*(o/(o/(o**5*o*o)))**(-45))**39 assuming o is positive.
o**(-34996/3)
Simplify (((g/g**(-1/4))/g)**(-4/15))**(-4/17)*g*g**(1/2)*g**(-4/7)/g*(g*g**(-2/7))**9 assuming g is positive.
g**(22751/3570)
Simplify (f/(f/(f*f**1)))**(26/3)/(f*f/(f/f**(-3/2)*f)*f*f**(-8)/f*f)*(f/(f/f**(2/5)))**43/(f**(-1/16)*f*f/f**4*f*f) assuming f is positive.
f**(10343/240)
Simplify ((b*b**(-2)*b/(b/(b**(-9)/b))*b*b**0*b**5)**(-30))**34 assuming b is positive.
b**5100
Simplify (g**(2/13)/(g*g**(6/23)))/((g/(g/(g*g*g**(-2/23))))/(g*(g*((g*g*g*g/g**33)/g)/g)/g*g)) assuming g is positive.
g**(-9574/299)
Simplify ((o/(o*o**(-2/3)*o))/(o/(o*o**(2/23))))**45/((o*o**(-1/5)/o)**(-11/5)/((o**(-7)/o)/o**(2/5))) assuming o is positive.
o**(-11458/575)
Simplify ((d**(4/5)/d*d*d**(-16))/(d**7/d**(3/13)))**(2/57) assuming d is positive.
d**(-952/1235)
Simplify (((n/(n*n*n**(1/16)*n))/n)/(n*n/n**12)*n/((n/(n**13/n*n))/n*n)*n**(2/57))**(-47) assuming n is positive.
n**(-856105/912)
Simplify (k**5/(k**(-5/4)/k)*((k/((k**(-1)*k*k)/k*k))/k)**50)/((k/k**(-2))/k**(1/4)*k*k**(-5)*k**(-2)) assuming k is positive.
k**(-79/2)
Simplify ((i**(-2/9))**(-46))**(33/4)/(((i*(i*i**(-3))/i)/((i/(((i/i**(-1/4)*i)/i)/i)*i*i)/i*i))/(i*i**(2/3))**(13/5)) assuming i is positive.
i**(1121/12)
Simplify ((z**(2/7)/z**(-1/2))/((z/(z*z/((z*z**(-2/19)/z)/z*z)*z)*z)/(z**(-5)/z)))/(z*z**(-3)*z**6)**24 assuming z is positive.
z**(-26629/266)
Simplify ((o*(o/o**(-15/2))/o)/(o*o*o**(-7/3)*o)*(o**(-9))**(2/45))**45 assuming o is positive.
o**(669/2)
Simplify (h**(-4)/(h**(-3)/h)*h/h**3*h**(-6))/(h**(-3/10)*(h**(-2/7)/h)/h)**(-46) assuming h is positive.
h**(-4443/35)
Simplify (k/(k/(k*k*k**(1/28)*k*k)))/k**41*(k*k*k**(5/9))**1 assuming k is positive.
k**(-8671/252)
Simplify (((g**0*g*g*g)/g*g)**(-11))**(-4/31)*(g**(2/7)/g)**(11/3)/(g/g**(2/5))**(-29) assuming g is positive.
g**(61972/3255)
Simplify (w**(-3)*w**(-6)*(w/w**(-1/4))**(-26))/((w*(w/(w*w/w**2*w))/w)/w*w**(-5/3)*w*w*(w**(-2/11)/w)/w**6) assuming w is positive.
w**(-2221/66)
Simplify ((z*z**1)/(z/(z**(-1)/z)*z))**(-4/9)/((z/(z**1*z)*z*z*z**2)/(z*z/(z*z**(2/5)/z)*z*z*z*z/z**(2/3)*z*z*z)) assuming z is positive.
z**(262/45)
Simplify ((h**(-2/5)/h**(1/2))/(h*h**(-2/7)*(h*h*h**(-1/7)*h*h)/h))**(-11) assuming h is positive.
h**(3443/70)
Simplify (v**(-3)*v*v/(v*v*v*v/v**(4/3))*(v*v**(-1))**(3/10))/((v**(-1/3))**(-10)/(v/(v*v**(-2/7)))**(2/7)) assuming v is positive.
v**(-339/49)
Simplify ((q**(-3)/q*q)/q**8*(q**(7/5)*q)/((q**7*q)/q))/((q/(q**2*q))**(-18)/(q*q*q/(q**3*q)*(q*q**(-2))/q)) assuming q is positive.
q* | {
"pile_set_name": "DM Mathematics"
} |
- 2159*t**2 + 0 + 6*t + 2. What is y(-2)?
-3
Let x = 89 - 87. Suppose 0 = 5*g + x*u + 43, 5*u - 14 + 13 = 3*g. Let o(w) = -w**2 - 7*w - 2. Determine o(g).
-2
Let f(u) = u**2 + 6*u - 1. Let l be f(-5). Let b(p) be the first derivative of 1 - 4*p + 96 - 192 + p**2. Determine b(l).
-16
Let h(c) = 21*c - 160. Let a be h(8). Let u be (-140)/63*-3*6/a. Let z(w) = -2 + 2*w - 3*w + 2*w + 5. Calculate z(u).
8
Let h be ((-13)/3 - (-10)/(-18 - 12)) + 5. Let p(i) be the first derivative of 4*i - 6 + 2*i**2 - h*i**3. Give p(4).
4
Let l(q) = -8*q - 10*q**2 - 7*q - q**3 - q. Let v be l(-8). Let x(d) = -2*d + v*d + 2 + 3*d. Give x(-6).
-4
Suppose -5*d - 2*n = -4*n - 20, 4*d - 4*n - 4 = 0. Let j(w) = -d*w - 2*w + 12 + 10*w - 3 + 5*w. Determine j(-2).
-5
Let y(d) = 11*d + 71. Let u(j) = 133*j + 3053. Let x be u(-23). Give y(x).
5
Let f(j) = -2*j**2 + 71*j - 30. Suppose 6*r = 8*r + 15*r - 595. Calculate f(r).
5
Let q(g) = -29*g**2 + 12*g + 21. Let n(m) = -6*m**2 + 3*m + 5. Let l(y) = 9*n(y) - 2*q(y). Calculate l(-3).
30
Let r(w) = -6 - 2 - 415*w + w**2 + 830*w - 419*w. What is r(-3)?
13
Let g(d) = -3*d - 4. Suppose -9*j + 7579 = 7552. Calculate g(j).
-13
Let m be (-2)/(16/(-759)) + 73/584. Let x = 97 - m. Let n(s) = s. Let g(h) = -h - 1. Let w(y) = 2*g(y) + 3*n(y). What is w(x)?
0
Let y(t) = t**2 - 12*t - 1. Let l be ((-408)/16)/(6/(-4)). Let v be l + (-2)/4*14. Calculate y(v).
-21
Let l(i) be the second derivative of -4/3*i**3 - 13/2*i**2 + 224*i + 0. Give l(-2).
3
Suppose 119*m + 6*t = 120*m + 11, -4*m = -4*t + 24. Let l(g) = -g**3 + 16*g**2 + 106*g + 9. What is l(m)?
4
Let k = -306 + 334. Suppose 0 = -k*g + 24*g + 12. Let a(v) = v - 10. Calculate a(g).
-7
Let g(h) = -h**2 - h - 2. Let l(o) be the first derivative of -o**4/4 - o**3 + 5*o**2/2 + 9*o - 15. Let n(k) = -4*g(k) - l(k). Calculate n(-7).
6
Let p be (-2 - (1 + -11)) + -4. Let z be p/(-7) + 8/14. Let b(l) = -7 + z*l - 5*l + 4*l + 0*l. Give b(-9).
2
Let r(k) = -12*k - 6 + 1 + 3 + 21*k. Let v(y) = 5*y - 1. Let u(m) = -4*r(m) + 7*v(m). Calculate u(3).
-2
Let p = 164 - 170. Let r(y) = 13*y**2 - 13*y + 19. Let s(h) = 7*h**2 - 6*h + 9. Let z be 68/6 - 3/9. Let v(o) = p*r(o) + z*s(o). What is v(11)?
-4
Let k(i) = -10*i + 58. Let o be k(5). Let n(f) = 10*f - 1. Let p(s) = -15*s + 2. Let b(m) = o*n(m) + 5*p(m). Calculate b(-2).
-8
Let d(l) = -l + 3. Let g be d(-2). Let i(r) = 9 + r**2 + 7*r - g + 2. Give i(-5).
-4
Let l(p) = -178 - 174 - 176 - 2*p**2 + 8*p**3 + 0*p - 2*p + 529. Give l(2).
53
Suppose 0 = 5*f + 4*u, -17*u = -22*u. Suppose -245*i + 254*i = f. Let s(q) = -q**2 + q - 39. Give s(i).
-39
Let a(w) = -10*w**3 + 16*w**2 + 51*w + 65. Let b(f) = 3*f**3 - 5*f**2 - 17*f - 21. Let l(g) = -2*a(g) - 7*b(g). Determine l(6).
11
Let r(l) be the third derivative of -l**5/60 + 25*l**4/24 + 17*l**3/6 + 111*l**2 - 9*l - 2. Give r(25).
17
Let f(y) = 2*y**2 - 24*y + 15. Let i(x) = -13*x + 8. Let g(h) = -5*f(h) + 9*i(h). Determine g(1).
-10
Let z(h) = 2*h**2 + 8322*h - 5*h**2 + 2*h**2 - 1 - 8317*h. Let v be (3/(-6))/((-3)/18). What is z(v)?
5
Let h(n) = -n**3 - 10*n**2 - 3*n. Suppose 0 = -3*w + x + 149, 5*w + 2*x + 98 = 7*w. Suppose 1056*m = 1051*m - w. What is h(m)?
30
Let m(q) = -11*q - 40. Let d be m(-4). Let t(z) = -2*z + 1 - 4 + d + 0. Give t(-5).
11
Suppose 10*u - 28 = 3*u. Let v(h) = 0*h + u*h - 4*h - 2*h**2 - h + 2*h. What is v(4)?
-28
Let j be -11 - (-2 + -19 - -12). Let f(l) be the third derivative of l**4/3 + 39*l**2. Calculate f(j).
-16
Let g(t) = 8*t. Suppose 5*p = 42*j - 38*j - 14, 5*j = -2*p + 34. What is g(p)?
16
Let p(g) = 2403*g**2 - 2*g - 2*g**3 + 5*g + 0*g**3 - 1197*g**2 - 1205*g**2 + 2. Determine p(3).
-34
Let f be (-1)/1 + (-2)/(-2). Suppose -28 = -9*l + 35. Let b(a) = -8*a**3 - 18*a + l*a**3 + a**2 - 9 + 17*a + 1. What is b(f)?
-8
Let l = 45 + -42. Let f(j) = 42*j + l + 38*j - 78*j. Suppose 0*z = 3*z + 6. Calculate f(z).
-1
Let a(u) = -2*u**2 + 6*u + 7. Suppose -2*o + 240 = 13*o. Suppose 8*t + o = 56. Calculate a(t).
-13
Let w(a) = 4*a**2 - 2*a + 4. Let m be 96/(-28) - 63/(-147). What is w(m)?
46
Let m = -693 - -695. Let t(i) = -2*i - 6*i**2 + i**3 + 10*i**m - 11 - 6*i. Calculate t(-5).
4
Let g = 1098 - 1087. Let q(j) = j**3 - 16*j**2 + 6*j + 9. Let z(u) = -u**2 - u. Let s(v) = -q(v) + 4*z(v). Give s(g).
2
Let y(v) = 327*v + 1302. Let w be y(-4). Let q(g) = g**3 + 8*g**2 + 6*g + 13. Give q(w).
49
Let q(s) = -s**3 - 6*s**2 - 2*s - 3. Let r = -167 + 215. Suppose r = -3*i - 5*i. What is q(i)?
9
Let o be (-637)/(-49)*6/26. Let k(n) = -9*n + 6*n + 4*n**3 - 8*n**3 - o + 3*n**3. Calculate k(-2).
11
Let h(r) be the first derivative of 7*r**5/10 - r**2/2 + 25*r - 10. Let v(q) be the first derivative of h(q). Calculate v(1).
13
Let w(j) = 45*j**2 + 36*j - 2. Let c(b) = -b**2 + 27*b + 123. Let m be c(31). Calculate w(m).
7
Let x(s) = s**2 + 11*s + 5. Suppose -43 = -3*b + q + 46, 34 = b + 4*q. Suppose b + 40 = m. Suppose -m - 29 = 9*l. Determine x(l).
5
Let b = 57 - 261. Let v be -8 + b/(-24) + 42/4. Let r(q) = -q**2 + 11*q - 11. Determine r(v).
-11
Let q(y) = -3*y + 26 + 6 - y + 4*y + 2*y. Give q(15).
62
Let c(r) = -r**3 + 7*r**2 + 13*r + 28. Let s be c(9). Let j be (-552)/68 + (-2)/s. Let u(a) = a**2 + 9*a + 7. Calculate u(j).
-1
Let c(t) be the second derivative of t**3/3 + 7*t**2 + 26*t. Let o be c(-10). Let r(u) be the first derivative of 3*u**2/2 + 3. What is r(o)?
-18
Let z(o) = -4*o - 11. Let u = -5180 - -5175. Give z(u).
9
Let n(v) be the third derivative of v**6/120 + v**5/6 + v**4/3 - 7*v**3/3 + 1960*v**2 - 2*v. What is n(-9)?
-5
Let o(g) = -7*g**3 + 16*g**2 + 3*g - 32. Let p(x) = 3*x**3 - 9*x**2 - 2*x + 19. Let h(v) = -2*o(v) - 5*p(v). Calculate h(13).
21
Suppose -5*p = -4*z + 17, -2*z + 3*p + 11 = -2*p. Let v(i) = -4*i**2 + 3*i + 1 - 6 + z + 5*i**2. Suppose -2*o = -3 + 13. Determine v(o).
8
Let a(q) = 2*q - 12. Suppose 0*b - y = 4*b - 73, 3*b + 2*y - 61 = 0. Let z(t) = -t**2 + 19*t - 21. Let k be z(b). Suppose 0 = 10*n - 103 + k. What is a(n)?
6
Let w(n) = n + 11. Let q be (15 - 13)*(10/(-5) + -33). Let o be (-10 + 1)/((-6)/(-42)). Let r = q - o. What is w(r)?
4
Let y(i) = -1. Let x(c) = 4*c - 8. Let s(q) = x(q) - 12*y(q). Let u(g) = g + 1. Let m(l) = -s(l) + 5*u(l). Suppose -2 = 2*o - 0. What is m(o)?
0
Let d(f) = 2811*f + 8 - 2 + 2824*f - 5636*f. Let t be (1 - 2) + 36/(-6). Let s = 14 + t. Calculate d(s).
-1
Suppose 17*i + 10*i - 11 - 16 = 0. Let z(l) = -6*l + 6*l + 18*l**2. Calculate z(i).
18
Let b(r) be the third derivative of r**6/120 + r**5/60 + r**3/3 - 74*r**2. Suppose 5*l - 25 = 10. Let c = l - 7. Calculate b(c).
2
Let p(a) = 2*a - 1. Suppose 54*n - 47*n - 840 = 0. Let u be ((-24)/n)/(2/10). What is p(u)?
-3
Let w(g) = -g**3 - 55*g**2 - 114*g - 440. Let z be w(-53). Let a(f) = f**2 + 17*f + 51. Calculate a(z).
35
Suppose 153 = 13*s - 19*s + 5*z, -2*z + 52 = -2*s. Let x(y) = 2*y - 25. Determine x(s).
-71
Let r(b) = b**3 + 13*b**2 + 18*b + 17. Suppose 0 = -4*v - 2*k - 50, 37*k - 41*k = v + 16. What is r(v)?
-55
Let o(r) = r**3 - r**2 - 1. Let y be 64/704 - ((-5312)/11 - 0). Let z = 485 - y. Calculate o(z).
3
Suppose 3*j + 3*g = -11 + 8, 5 = -j - 2*g. Let c(u) = -58*u + 171. What is c(j)?
-3
Let w(l) = l**3 + 9*l**2 + 3*l + 34. Let f(z) = -z**2 - 29*z - 63. Let j be f(-27). What is w(j)?
7
Let u(l) = 10*l**2 + 114*l + 52. Let r(v) = -3*v**2 - 36*v - 18. Let i(h) = 7*r(h) + 2*u(h). Determine i(-24).
-22
Let s = -210 + 216. Let k(r) = -r - 1. Let d(t) = -8*t - 9. Let f(n) = s*k(n) - d(n). Suppose 4*j = -0*j - 16. Give f(j).
-5
Let w(t) = -899*t + 1787*t - 894*t. Let s be -2*(1 + -2)*2. Let r(f) = f + 1. Let b(c) = s*r(c) + w(c). Calculate b(6).
-8
Let o(t) be the first derivative of -t**4/4 + 5*t**3/3 - t**2 + 2*t + 629. Let v be 4/2*(-5)/(-2). Calculate o(v).
-8
Let h(p) = -p + 0*p - 4 + 0*p. Let t be h(0). Let x(s) = -15490*s**2 + 7736*s**2 + 5*s + 7755*s**2 - 1. Calculate x(t).
-5
Let i(b) = b**2 - 3. Let a(x) = 3*x**2 - x - 7. Let v(k) = -k**2 + 5. Let r be v(-3). Let y(f) = r*a(f) + 10*i(f). Calculate y(5).
-32
Let z(k) be the first derivative of -k**5/60 - 11*k**4/24 - k**3/3 + k**2/2 + 25*k + 103. Let a(n) be the second derivative of z(n). Calculate a(-10).
8
Let a = 7 + -1. Let s be (-3)/a + (-18)/4. Let n(v) = 2*v**3 - 8*v**2 + 2*v - 12. Let k(d) = -d**3 + 2*d**2 - d + 6. Let w( | {
"pile_set_name": "DM Mathematics"
} |
-140)
-4/5
2358/2268 + (8/6 - 212/168)
10/9
Evaluate 120916/(-2812) + 942/22.
-2/11
Evaluate 55 - (-57785)/(-1170) - (-4)/18 - 24/4.
-1/6
7695/70200 - (27/(-30) + 1)
1/104
Evaluate (3 - 528/160)*(-193 + -17).
63
What is (-13)/39 + (9/5 - (234/9)/26)?
7/15
What is the value of (120/(-1260) + 50/84)*-2 - 4/14?
-9/7
64 + 2306220/(-35815) + (-12)/(-26)
2/29
18 + 13*(-1602)/1197 + 10/(-35)
6/19
Evaluate (-362)/329 - (-6)/517*(-4499)/1227.
-8/7
(4 - 6)*1*(4745/(-598) - -8)
-3/23
What is (52/(-1508))/((-312)/(-12) + -27)?
1/29
Calculate ((-48)/((-2688)/140))/((-9)/6).
-5/3
Calculate (-428)/2996*147/9 + -2.
-13/3
Evaluate (364/5 - -1) + (-103)/4635*36.
73
(-960)/(-1760) + (-11 - 6/462*1043)
-24
What is the value of -13 + 37 + (256 - 253)?
27
What is (6/112)/(25 + 90/(-12) - 13)?
1/84
What is (-36)/8*(-3)/(-9)*(48791/(-291) + 113)?
82
Calculate (192/640)/(-18*77/(-84)).
1/55
Evaluate ((-125)/(-10))/((-23000)/(-53360)).
29
What is 1*110/(-6)*(10980/330 + -36)?
50
((-8 - 5) + (-2)/((-22)/99))*(-12 + 1)
44
Evaluate 2/(-55) + (-270802)/(-323785).
4/5
Calculate 124 + -53 + -48 - 19/(-1).
42
Evaluate (-213 + (-112880)/(-498))/((-2)/(-18)).
123
Calculate (6/7)/(-3) - ((-10 - -10)/(-20))/(-1).
-2/7
Evaluate (((-1104)/230)/24)/(68/20*-1).
1/17
What is the value of (3*25/(-15))/((-2055)/(-5343))?
-13
Calculate 621/(-54) - 300/((-680)/34).
7/2
What is the value of -72 + 14*((-4)/12)/((-231)/(-63) + -3)?
-79
What is ((-10413)/(-135) - 4) + (2/24)/(225/(-360))?
73
What is the value of 40/(-286) + (-110)/(-121)?
10/13
What is the value of 2/8*(-6)/(-205)*(9457/(-147) - -51)?
-4/41
Evaluate (-1 - (8 + -5))*7482/696.
-43
What is the value of 5*(-102)/170 + 1/((-8)/116)?
-35/2
Evaluate ((-1)/(-12))/(5745/(-1792440)).
-26
What is 102/(-6885)*1179 - (13 + -30)?
-7/15
What is the value of 20/90 - 8066/333 - -97?
73
Evaluate (-45 + (-81380)/(-1768))/(5/8) - (6 - 4).
-6/17
Calculate 340/1105 - 2304/52 - -145.
101
Evaluate ((-11065)/3685 - -3)/((-1397)/(-15367)).
-2/67
Evaluate (-11796)/(-16711) - (-62)/(-136) - 218/8.
-27
What is (-60 - 5200/(-75))/((-1)/(-3))?
28
(-34)/(-30) + 9/(-5) + (-574)/(-840)
1/60
What is 11515/(-343) + (-136)/238 + (-4)/(-28)?
-34
(((-110)/(-30)*15/30)/11)/((-1)/111)
-37/2
Evaluate (-57 - 54 - 33)*((-5)/(-18) + 4/18).
-72
What is ((-300)/(-105))/(80/105)*16/(-2)?
-30
What is the value of (1209/(-78))/(6/(-33) - 141/2068)?
62
Calculate (-945)/(-378) - 1274/(-52).
27
What is ((-3*6/10)/1)/(914/(-4570))?
9
(-4)/19 - 172744/(-2869)
60
What is the value of ((-28)/(-39))/(17628/38194)?
14/9
What is 5/((-24)/160*(-225)/54)?
8
51/204*(173 - 21)
38
114/(-1083)*-19*3/(-27)
-2/9
Evaluate -16 + 23 - (0 - (-1174 + -11)/15).
-72
What is 27 + ((-3)/2)/(-38*(-132)/13376)?
23
Evaluate 37 - 9179/67 - -38.
-62
What is the value of 440/(-60) + (-13)/(-37 - 2) + 84?
77
Evaluate (-1275)/(-4403)*-238 + 69.
3/37
((67596/12943)/(-262))/((-6)/(-28))
-4/43
What is the value of ((-245)/1715)/(1/(-77))?
11
Calculate (22605/765 - 28) + (-10)/6 - 16506/(-714).
23
What is the value of (-1)/72 + 3102/3147120?
-2/155
Calculate ((-516)/(-10) + -18)*(-5)/2.
-84
Evaluate (4 + (-81)/(-54))/((-8)/(-48)).
33
Evaluate (75 + (-45496)/605)/((-17)/(-5) - 0).
-1/17
Calculate 11196/228 + (-288)/2736.
49
What is 1202256/(-55660)*40/(-18)?
48
What is the value of (0 + -14)*(-4032)/(-4704)?
-12
Calculate (((-14630)/(-43035))/(-154))/(13/195*10/4).
-2/151
What is (-10)/(-12)*847980/(-16825)?
-42
What is 27*(-13)/(-819) + (-2068)/88*(-8)/(-14)?
-13
What is the value of 31/(2232/(-60))*(0 - -3)*312/180?
-13/3
What is ((-20)/26 - 0)*(1110 - 1097) + 4*24?
86
3 - (7980/931)/((-6)/21) - -11
44
What is the value of 8/(-28)*6/4 + (111 - (-648456)/(-5740))?
-12/5
What is the value of -7 - (-9 - -5*((-396)/90)/(-22))?
1
Evaluate (-186)/9 + -25*(-86)/215.
-32/3
What is (6 - -88)/(530 + -532)?
-47
Evaluate (5/75)/(2/6) + ((-60736)/(-520) - 112).
5
Evaluate (-16)/(-8)*(774/(-12) + (38 - 26)).
-105
Calculate (3 + ((-6)/30 - 4))*(-84)/63.
8/5
Evaluate (-28)/42*((-234)/180 - 2).
11/5
Calculate (-89784)/(-195048) - (-5)/(35/(-4)).
-1/9
-19 - (273/28 - 10)/((-4)/(-224))
-5
What is 10290/(-931) + (-336)/114 + 3 + -2?
-13
((-6)/81*-4*(-2316)/6176)/(23/2)
-2/207
Calculate 26 - (-34 + (171 - 51)).
-60
(-191)/(32088/(-2448))*(4/(-1) + (-25)/(-50))
-51
Calculate 7 + (-3751)/154 + (45 - (44 + -17)).
9/14
Evaluate 58/11 + 45/(-13200)*80.
5
What is the value of 11/(-4) - (-340 - -340)?
-11/4
Calculate ((-84)/32)/(117/(-12))*((-372840)/455)/(-239).
12/13
Evaluate (-15)/(-50) - (2 - 1364/770).
1/14
What is the value of (0 + 2)*9/6 + 44/10736*-724?
2/61
Evaluate -13*80/(-312)*-8*(-3)/60.
4/3
Calculate (-138)/16 + 9 - 7/(-56).
1/2
((-1050)/(-385))/(20/(-1320)*-4)
45
Calculate 8/112*-102 - -7 - (34 - (-2108)/119).
-52
4018/(-1148)*(-460)/(-35)
-46
What is 154/(-1540)*(-20)/1?
2
What is the value of (16/(-5))/((-1296)/(-50) + -8 + -18)?
40
Calculate -95 + 495/3168*32.
-90
What is -2 + 2*3 + (-163)/((-51345)/(-1350))?
-2/7
Evaluate 3256/40 + (532 - 614).
-3/5
What is (-3570)/(-54) + (66352/144)/29 + -16?
66
What is (-47736)/(-3510) + 9/(-1)?
23/5
Evaluate 91/(-672)*-22 - (-16 + 33 + -14).
-1/48
(-84)/(-56) + ((-8)/((-1344)/45))/((-72)/352)
4/21
186 + 16445/(-91) - (-2 - 16/(-7))
5
Evaluate (-72)/(-96)*4*46/(-12)*1/2.
-23/4
Evaluate (1/((-2)/78))/(19 + (-29)/((-406)/(-280))).
39
What is 76/12 - (-25805)/(-4095)?
2/63
Evaluate (-111)/12 + (58 + -130)*(-2)/16.
-1/4
Evaluate (-108)/60*(104/7 + -7)*7.
-99
Evaluate (-320)/(-1024) + 75312/2304.
33
((21/(-6))/((-15)/(-70)))/(84/36 - 2)
-49
What is (-4140)/(-12880)*50/(-45)?
-5/14
What is (-6)/13 + (-40 - (-399520)/9867)?
2/69
2/(-4)*(-1272)/(-20) + (16644/380 - 45)
-33
(-275)/(-75)*210/(-11165)
-2/29
What is (-1834)/(-393)*(-498)/84*(6 - 15/5)?
-83
Calculate (2288/(-6292))/((-13)/(-1144)).
-32
2/46*(-4416)/(-18768)*(1 - 18)
-4/23
What is the value of (-665)/38*20/(-350)*14?
14
Evaluate 432/2900 - 1334/16675.
2/29
(-1887)/(-861) - 48/984
15/7
What is -18*(1027/(-78) + 12) + 8?
29
Calculate -2 - 1852/68 - (-440 + 411).
-4/17
Calculate (8945/(-725) - -14) + (16/4 - (-319)/(-55)).
-4/29
(568 - 551 - (-1 + 12))/(-39)
-2/13
What is (-22)/5*89300/(-49115)?
8
258/(-585) + 52/390 - 151822/2678
-57
(-1)/(231/(-51)) - 3476/9559
-1/7
Calculate 6/(-294) + 200124/6867252.
2/229
Evaluate 5410/50 + (-144368)/1289.
-19/5
What is the value of 257 + (-185 - -65 - -7)?
144
What is the value of -48 - 27/(1053/(-2652))?
20
What is the value of 84/(-45)*((-1)/(-7))/((-228)/(-3990))?
-14/3
What is 225/84*2552/(-6380)?
-15/14
2070/25 + (-7038)/3910
81
What is the value of (-130)/(-4) - (-214560)/(-6705)?
1/2
Calculate 3094/(-182) - (8 + -6 + -49).
30
Evaluate -2*188/(-8)*(-204 + 203).
-47
Evaluate (-411)/(657189/78) - (-93)/1066.
1/26
Evaluate (5 + -1)/(7476/4788 + (-5)/3).
-38
What is the value of 16*(-189)/216 - -6?
-8
Calculate 11 + (((0/1)/4)/3 - (-26676)/(-2432)).
1/32
What is the value of 4 + (1 - 2483*19/9139)?
-6/37
Calculate 1588/1191 - ((-4)/(-14))/(3/21).
-2/3
(180/(-765))/(72*(-41)/(-8364))
-2/3
0 + -1 - (3255/248)/(-35)*52/39
-1/2
(-138)/(-506)*(-3 - (-690)/234)
-2/143
8908/786 + ((-990)/88 - 1/(-4) - -1)
4/3
Calculate -11 + 112*3*14/427.
1/61
What is (-32 + 29)*(-82)/246?
1
What is the value of 18/(-66) + 1520/2508?
1/3
(4/(-70))/((-8)/25)*30624/19140
2/7
(2/(-76))/((-7700)/(-14630))
-1/20
Calculate (43/(-6) - (4 + -11))/(167/31062).
-31
(0 + 15*(-108)/3645)*6/4
-2/3
-105 - (((-12)/(-60))/(12/1560) + 0)
-131
What is the value of 2464/203 + -45 + 726/22?
4/29
What is (174/30)/(2079/135) - 2/7?
1/11
Evaluate 10/25*(4275/(-114))/(-25) + 68/(-105).
-1/21
What is the value of 9 - -66 - ((-7 - 11) + 41 + -7)?
59
Calculate (-138)/(-12) - ((-3652)/(-1162))/((-4)/(-14)).
1/2
Evaluate (2515/(-1509))/(5/(-99))*1.
33
Calculate (-39930)/(-10890) + (-465)/36.
-37/4
Calculate 209448/462531*2/72.
2/159
Evaluate 311*1/(-35) + 7 - (-17 - (-2574)/154).
-8/5
Calculate 0 - (-15)/(-10) - ((-46866)/(-1095))/(12/(-15)).
52
What is 7 - (607/32 - 0 - (173 + -161))?
1/32
((-855)/63 + 14)/(20286/686)
1/69
Evaluate (-6)/(-4) - ((-203)/(-7) - (-7030)/380).
-46
22/55*(-35)/(-728)*8/(-3)
-2/39
Evaluate 37*1 + 104 + (-765)/9.
56
((-6920)/2900*-5 - (-8)/116) + 3
15
(4 + 424/16 - 26) + 118/4
34
Calculate ((-8)/14)/((-12016)/(-44 | {
"pile_set_name": "DM Mathematics"
} |
407, x?
407
Let g = -3982 - -3987. What is the second biggest value in 1, 1/4, 3, -0.15, g?
3
Let a = 4664.22 + -4681. What is the biggest value in a, -3, -5, -0.4?
-0.4
Let d = 290.5 + -290. Suppose 3*c = -3*u - 72, -10 = u + 5*c - 2. Let k be 4/(-12) - u/30. What is the fourth smallest value in k, d, 3, 2?
3
Let d = 12/37 - 58/407. Let n = 876 - 553. Let u = n - 320. What is the fourth biggest value in d, -1/4, -5/7, u?
-5/7
Let p be 3 + -1*(2 + -4). Let v be (-35)/(-120)*(-18)/42. What is the fourth biggest value in -2, p, v, 0.1?
-2
Let f = 87300 + -87299.9. Let r = 2 + -1. Which is the third smallest value? (a) r (b) f (c) -16/7
a
Suppose -4*r = -3*d, 373*d + 6 = 2*r + 370*d. Let y = -0.12 - -0.14. What is the second smallest value in 14, y, r?
y
Let f = -0.16 + 0.86. Let n = 1.1 - f. Let b = 369 - 372. What is the biggest value in -1/6, b, n?
n
Let a = 705.0117 - 705. Let t = 0.0917 - a. What is the second smallest value in 3, -10, t?
t
Suppose -z - 28 = -32. Let w(v) = -v + 1. Let r be w(z). Let d be (2 - 5)/(-33)*-2. Which is the third biggest value? (a) 2 (b) d (c) r
c
Let m = -10782 - -10777. What is the fourth biggest value in 149, -3/8, m, -3?
m
Let o = -99 - -18. Let j = o - -78. What is the third smallest value in 0.8, j, 1?
1
Let f(d) = d**3 + 4*d**2 - 10*d - 7. Let z be f(-6). What is the smallest value in 5, z, -8?
z
Suppose 0 = -4*f + 4*y - 32, 5*f = -4*y + 11 - 24. Which is the fourth biggest value? (a) 0.2 (b) 2/9 (c) f (d) 0.1 (e) 2/11
d
Let u = 93 - -25. Let f = 118 - u. Suppose 0 = -3*o + 9, s + 3*o = -2 + 5. What is the third smallest value in f, 3, s?
3
Let u = 9.49 + -9.99. Which is the third biggest value? (a) -0.15 (b) 0.4 (c) u (d) 21
a
Let g = -8004 + 8014. What is the second biggest value in -1/3, g, -0.3, -7.8?
-0.3
Let w(n) = -252*n + 3533. Let x be w(14). Which is the fourth smallest value? (a) x (b) 2 (c) 2/5 (d) 1
a
Let g(d) = d**3 + 6*d**2 - 5*d - 6. Let t be g(5). Let o be (82/861)/(5110/5112 - 1). Let w = t + o. What is the third biggest value in -2, 3/8, w?
-2
Let s = 31331.8 - 31331.3. Suppose -2*r + 4 = -0. Let t be (r/28)/((-1)/4). Which is the fourth biggest value? (a) 0.2 (b) s (c) -1 (d) t
c
Let i = 3330 + -13895/4. Let n = -144 - i. Which is the smallest value? (a) n (b) 2/19 (c) 0.5 (d) -1
d
Let x(u) = -22*u**2 + 219*u + 8. Let t be x(10). Which is the smallest value? (a) -2/27 (b) 0.1 (c) -0.2 (d) t
d
Let t be (-4)/(-42)*(42/(-12) - -5). Let v be (-28)/21*-6 + (-4)/1. What is the fourth smallest value in t, 3/2, v, -3/8?
v
Let f = -8478.6 + 8479. What is the fifth smallest value in 2, 8, 110, 0.1, f?
110
Let l = 2/351 + -56/351. Let t = -116 - -16. Let q = 102 + t. Which is the fourth smallest value? (a) q (b) -1/8 (c) l (d) -1/4
a
Let k = 0.9 - 0.4. Let x = -0.2792 - -0.0792. Which is the fourth biggest value? (a) -4 (b) -0.1 (c) x (d) k
a
Let i = -3381 - -3387. Which is the smallest value? (a) -4/5 (b) -0.177 (c) i
a
Suppose -16*n = -328 + 344. Which is the fourth biggest value? (a) 4 (b) 7/4 (c) -2 (d) n
c
Let x = -11485 - -11474. What is the third smallest value in x, 1, 7, -0.3, -5?
-0.3
Let q = -1264/423 - -1546/423. Let s(y) = -y**3 - 4*y**2 - 2*y - 3. Let r be s(-4). Which is the biggest value? (a) r (b) q (c) -2/13 (d) -0.4
a
Let o = -81 + 88. Let n be (-48)/54*o - -6. What is the biggest value in n, -0.2, -1/4?
-0.2
Let s = -2606 - -2610. What is the third biggest value in 2, -4.1, s?
-4.1
Let k = -912.7 + 909.7. What is the biggest value in k, -5, -0.5, -0.1, 32?
32
Let n = 520.2 - 523.2. What is the smallest value in 2/7, -0.4, -0.1, 1/3, n?
n
Let l = -149 - -149.5. Suppose 5*m - 4*m + 7 = 0. Which is the smallest value? (a) l (b) m (c) 3/8
b
Let a(h) = -12*h - 2. Let q be a(-2). Suppose -4*r = -2*t - 18, 0*r + q = 5*r - 3*t. Let j = -0.67279 - -0.07279. What is the second biggest value in r, j, 2?
2
Let s = 30.67 - 30.37. Which is the second smallest value? (a) -6/19 (b) s (c) 4
b
Let y = -0.06 + 5.06. Let r(m) = -64*m + 67. Let z be r(1). Which is the second biggest value? (a) y (b) 2 (c) z
c
Let p = -294/6035 - -2/1207. Let k = p + -227/595. Which is the biggest value? (a) 0.4 (b) 3 (c) k (d) 141
d
Suppose -6*f + 20 = 4*y - 4*f, 0 = y - f - 11. Suppose y*g - 31 = 25. Let z be 52/g + 1 + 1. What is the third smallest value in -3, z, -1?
z
Let r = -0.051 + 0.045. Let t = 65.994 - r. Let m = t + -65.7. What is the second biggest value in -3, 5, m?
m
Let i = 2.0307 - -2.9693. Which is the second smallest value? (a) 12 (b) i (c) 2.7
b
Let o = -54877/356785 - 1/27445. What is the second smallest value in -0.3, 2/7, o, -0.31?
-0.3
Let t = 215 + -219. What is the second smallest value in t, 23, 1/4, -2, 0.5?
-2
Let w be ((-3)/(-9))/((-21)/(-9)). Let m = -1023 + 1023.55. What is the smallest value in -5, m, w?
-5
Let h = 295.001 - 295. Let r = h - 7.001. What is the second smallest value in r, -3/5, -4/5?
-4/5
Let u = -10 - -16. Let s = -22.7 - -25.7. Let r be 38 + -35 - (5 - -1). What is the third biggest value in u, s, r?
r
Let y = 21801 + -21800.892. Which is the second biggest value? (a) -5 (b) -0.3 (c) 26 (d) y
d
Let i be (-7)/1155*37 + 38/418. Let p = -0.44 + 0.4. Let f = 0.12 + p. Which is the biggest value? (a) -1 (b) 1 (c) i (d) f
b
Let z = 0.07515 + -409.07515. Which is the biggest value? (a) 0.4 (b) -3 (c) z (d) -0.4 (e) 2
e
Let s = 0.542 + -0.942. Let y = 171.1 - 171. What is the smallest value in -2, s, 0.5, y?
-2
Let h = -829.8 - -829.4. Which is the third smallest value? (a) -2/7 (b) h (c) -49 (d) -4 (e) -0.03
b
Let v = -15 - -15.22. Let l = v + -0.72. Let d = l - -1. What is the third smallest value in d, -2, 7?
7
Let m = -9.8 + -14.6. Let s = 19.4 + m. What is the second biggest value in -0.4, -1/2, s?
-1/2
Let v = -72059/20 + 14411/4. Which is the smallest value? (a) 1360 (b) 6/13 (c) v
c
Let f = -5180/3 - -56998/33. What is the smallest value in 18, 1, f?
f
Let h = -207.4 - -38.4. Let f = h + 165. What is the biggest value in -3/4, 7, f, -2/3?
7
Let w = 11 - 32/3. Let k = 486/17 - 11681/408. Which is the third smallest value? (a) w (b) -0.1 (c) k
a
Let j = -0.2969 - -0.5969. Which is the second biggest value? (a) -5 (b) 1/19 (c) j (d) 0.04
b
Let f = 1497 + -1496. Let h be (-4)/2 + -9 - -1. What is the biggest value in h, f, 0.3?
f
Let y be (-1 - (-11)/8)/(684/(-304)). Which is the second biggest value? (a) -0.5 (b) 219 (c) y (d) 0.2 (e) -1/5
d
Suppose 0 = 4*s - h - 18, 2*s - h - 23 = -3*s. Suppose -f + 10*c - s*c + 18 = 0, -3*c - 16 = 2*f. What is the second smallest value in f, -5, -0.2?
f
Let l be ((-4)/17)/(-4)*-2. Let g = -81.4 - -81. Let j = 0.0233 - -2.9767. What is the biggest value in g, -2/9, j, l?
j
Suppose 4*w + 948 = -4*i, 3*w + 2*w = -2*i - 1188. Let d = w + 1664/7. Which is the second biggest value? (a) 2/19 (b) d (c) -6
b
Let o = 296.2 - -9. Let i = o - 305. Suppose -5*v = -2*v. What is the smallest value in 0.5, -5, i, v?
-5
Let i = 0.7741 + -0.5741. Which is the second smallest value? (a) 106 (b) 0.4 (c) 5 (d) 4/3 (e) i
b
Let k = -236.7 - -203. Let n = 34 + k. Let a = 0 - -0.2. What is the second smallest value in n, a, 1, -3?
a
Let h = -10.84 - -6.24. Let m = 12.2 - 12. What is the third biggest value in h, m, -2/13?
h
Let a = -2 - -7. Suppose a*s + 2*x = -17, -2*s + 2*x = 6*x - 6. Let v = -1065 + 4261/4. What is the third biggest value in v, s, 1/13?
s
Let q = -58/5 + 131/10. What is the third smallest value in 3, q, -6, 33?
3
Let m be (-2)/3*3*-1. Suppose -2*h - 5*q = 143 + 34, -95 = h - 4*q. Let v = h - -90. Which is the biggest value? (a) v (b) 2/53 (c) m
c
Let q = 0.2 + -0.6. Let k = 3.21 + 0.79. Which is the fourth smallest value? (a) -5 (b) q (c) k (d) -0.2
c
Let f = -368 + 367.04. Let u = f - -0.46. What is the second smallest value in 276, 1, u?
1
Let y = 1307 + -1187. Let t be (-6750)/(-56) - 1/4. Let n = t - y. Which is the third biggest value? (a) 2/15 (b) n (c) -2/7
c
Let c = -13 - -17. Let y = 0.2104 - 1.2104. Let a = 3.04 - 0.04. What is the third smallest value in 0.04, c, y, a?
a
Let f = 8.59 - 8.52. Let y = -28 - -25. What is the third smallest value in 1/4, f, y?
1/4
Let i = -4106.9 - -4107. Which is the fifth bigg | {
"pile_set_name": "DM Mathematics"
} |
t d = 6 + o. Suppose -4*g + 3*g = m + 85, -d*m - 358 = -2*g. Which is smaller: -87 or m?
m
Let m(g) = -g**2 - 10*g - 11. Let t be m(-8). Let x be ((-3)/t)/(6/(-60)). Is x at least 7?
False
Suppose 0 = -53*q + 44*q - 36. Let x be ((-2)/q)/(0 + 6/(-316)). Which is smaller: x or -25?
x
Let r be (12/(-14))/(135/(-6)). Let g = -279576 + 279577. Which is bigger: r or g?
g
Let h be 5*(-5)/50*((-6)/10 - 0). Which is smaller: h or -45/2?
-45/2
Let f = 0.106 - 0.275. Let h = 0.109 + f. Let q = -14 + 16. Which is greater: q or h?
q
Let f be 16 - (-41)/((-594254)/231908). Which is bigger: 1 or f?
1
Suppose 2*i = 20 - 70. Let x be (i + 22)*16/69. Which is smaller: -2 or x?
-2
Let q = -2265 + 4175. Let l be q/(-30) - 2*(-2)/6. Is l at most as big as -64?
False
Suppose -5*t - 29 = -2*r - 50, t = -2*r + 9. Suppose -z - 3 = -2*v, -4*z = -r*v + 3*v + 3. Is -3 at least as big as z?
False
Let t = -192314/39 - -4932. Does 1 = t?
False
Suppose -2*a = -4*h - 20, 3*a + 9*h - 52 = 4*h. Which is bigger: a or -2/273?
a
Suppose 257*y + 4*h = 254*y + 3934, -1303 = -y - 3*h. Which is bigger: 1319 or y?
1319
Suppose -188429 = 139*a + 3808. Is a at least as big as -1380?
False
Suppose 1472 = 28*i - 20*i. Is 184 at most as big as i?
True
Let n(p) = p**2 - 5*p - 43. Let t be 18/27*(-1 - 11). Let b be n(t). Let w = b + -62. Is w at least -3/50?
False
Let j = -96943 - -1841513/19. Is -21 <= j?
False
Let z be (-2 - (-6)/2) + (-8608)/7878. Let w = -1/101 + z. Let f = 101/156 - w. Are 1 and f equal?
False
Let w(a) = -a**3 - 14*a**2 + 16*a + 10. Let t be w(-15). Let y be (t/35)/1*(-132 + 0). Is y <= 20?
True
Suppose 25 = 5*w, -2*u = w - 6*w - 13. Let t = 9 + u. Let x = -15 + t. Which is greater: x or 14?
14
Let x = 0.1297 + -1.1097. Let f = 1.3 + -1.48. Let b = x - f. Which is bigger: -4 or b?
b
Let w be (-9)/(-2)*((-8)/(-12) + 0). Suppose 2*j + 19 = -w*j + 3*y, -3*y - 16 = 2*j. Is j less than -27/5?
False
Let g be (-8164)/(-2704) - (-3)/(-12) - 2. Which is smaller: g or -200?
-200
Let v = -12098/35 + 398051/1155. Let u = v - 1/15. Which is bigger: 0.01 or u?
0.01
Suppose 147420 = 13*p + 127*p. Which is smaller: 0.1 or p?
0.1
Suppose -37 = -2*x - n, 3*x - 3*n - 15 = 2*x. Suppose g - x = 4*g. Let l be (1 - 4)*(-4)/g + -1. Is 5 at least l?
True
Suppose -294*o - 263*o + 142*o - 11620 = 0. Let x(u) = -u**2 - u. Let y be x(-6). Which is greater: o or y?
o
Let b = -457 + -235. Let v = 704.88 + b. Let j = 13 - v. Is -1 less than or equal to j?
True
Let u = -17.93 + 22.93. Which is greater: u or -0.729?
u
Let i(x) = x**2 - 22*x - 42. Let b be i(-2). Let z be b - (117/22 + 1). Are z and 1 unequal?
True
Let r be (-3)/(-4) + (-621)/132 + 4. Let h be 2/3 - (-1261)/(-330). Let w = h - r. Is -2 less than or equal to w?
False
Suppose -25*c = c - 1092. Let x be (4/((-32)/(-6)))/(c/56). Let u = 9722/81 + -120. Does u = x?
False
Let i(g) = 14*g + 24. Let h be i(-2). Let s be (14/(-4) + 3)/((-2)/h). Which is smaller: s or 4/13?
s
Suppose 2*u + 111 - 119 = -2*o, -4*o = u - 4. Is o less than or equal to -5/494?
False
Let w = 1.507 - 0.507. Is w greater than or equal to -2/2299?
True
Let t be (-21416)/(-4)*(-18)/405. Let n = 238 + t. Which is greater: 0 or n?
n
Suppose 158 = -3*f + 254. Suppose 0 = f*s - 5 - 27. Which is bigger: s or -2/493?
s
Let d be (-80)/20 - (-672)/170. Let w = 46/255 + d. Which is smaller: w or -94?
-94
Suppose 2*d = -5*g + 6, g + 2*d + 2*d = 12. Let m = -226.9 - -224. Let c = m + 3. Is c at least as big as g?
True
Let c be 18*10/900 + 3576/(-17830). Is c greater than 0?
False
Let f = -2919.89 + 2920. Which is bigger: f or 134?
134
Let y = -119822/212583 + 108/191. Is y bigger than 0?
True
Suppose 4*z - 4 = 64. Suppose 3*f - 103 = -4*l, 2*f + 56 = -2*l + 5*l. Let m be 2 + (l/33)/((-4)/(-87)). Is z <= m?
False
Let o = -480.263 + 480. Let z = -0.208 - o. Is 0 greater than or equal to z?
False
Suppose 4 = -j + 5*j. Let h be -4 - (2 - j*(-7)/(-1)). Which is greater: h or 1/12?
h
Let n(s) = 35*s**3 - 6*s**2 + 17 - 3*s - 36*s**3 - s. Let z be n(-5). Let g(t) = t**2 - 12*t + 1. Let r be g(z). Which is bigger: r or 3/28?
r
Let a = -821 - -533. Let z be (96/a)/((-1)/(-303) + 0). Is z bigger than -101?
False
Let c = -7.2 + 0.2. Let t be (-2)/(-6) + 4540/(-30). Let r = -1055/7 - t. Which is bigger: c or r?
r
Let w = -144 + -1370. Are w and -1513 equal?
False
Let y be (-2655)/(-45) - (-10 + 9). Is y != 139?
True
Let r be 292/6*((-1575)/(-10))/21. Which is smaller: 366 or r?
r
Let j = -3054/11 - -276. Let k = 493 + -494. Which is smaller: k or j?
j
Let t = 2207 - 2020.9. Let v = t - 194. Are 1 and v unequal?
True
Let c(r) = -52*r + 12 + 5 + 73 + 106. Let z be c(6). Are z and -116 nonequal?
False
Suppose -23*h + 90 - 21 = 0. Suppose -21 = -h*y - 75. Which is bigger: y or -13?
-13
Let b be -29 - -16 - 554/(-5). Which is bigger: b or 98?
98
Suppose 0 = 2*s + 5*j - 175, 75 = 5*s - j - 430. Suppose 2*a + 0*h + h + s = 0, 4*h = 0. Suppose 197*w - 190*w + 357 = 0. Which is smaller: w or a?
w
Suppose -2007*i + 2023*i = -31328. Which is smaller: -1957 or i?
i
Let b = 205 - 85. Let q = -626 - -745. Which is greater: b or q?
b
Let a be -7*(2 + 520/72 + (-6)/27). Is -67 at least as big as a?
False
Let a = 70761 + -288867/4. Which is greater: a or -1455?
-1455
Suppose -115*o = -91*o - 432. Suppose 3*x - b = 30 + 44, 2*b = x - 28. Which is bigger: o or x?
x
Let k be 9/(-6) - 25/14*-1. Let x = -10 + 12. Suppose 7*p + 5 = x*p. Which is bigger: k or p?
k
Let o be (-1456)/484 + -1 - -4. Suppose 0 = -4*z + 2*s + 34, -6*s + 2*s = 12. Suppose 3 = -z*x - 4. Which is bigger: x or o?
o
Let o(p) = -p**3 + p + 2. Let g be o(-3). Let u = g - 20. Let d be u + 0 - 0 - (13 - 13). Is 7 not equal to d?
True
Let i = -17.63 - -19.33. Is i less than or equal to 11/10?
False
Suppose 16 = 2*g + 4*c, -5*c + 10 = 4*g - 7. Let j be (6/(-12))/((-4)/(g - -42)). Suppose 3*k - 8 = 10. Which is smaller: j or k?
j
Let o = -17705.92 - -17706. Let s = 12 - 36. Is o greater than s?
True
Let z(s) = 3*s**2 - 74*s - 57. Let p be z(25). Let m be 258/(-10)*(-37 - p). Is 130 at least m?
True
Let i = 548.38 - 548.18. Let t = -60 + 3. Is t greater than or equal to i?
False
Let g be (-5 + 27/6)/(2/(-4)). Let c be -2*2 + g - (-423114)/(-516). Let l = -823 - c. Is l < -1?
False
Suppose -287*m = m + 62*m - 350. Is m greater than -2/85?
True
Let r be 740/2368*(-1)/(-5)*3. Which is smaller: -3 or r?
-3
Let n = 5277 - 8176. Is -1 <= n?
False
Let z = 665.066 + -665. Let u = z + 1.834. Let t be 4/18 - (-39)/(-54). Which is bigger: u or t?
u
Let l be (-143 - -213)*((-2)/4 + 1). Let v be 4/l*((-5)/226)/(-1). Which is bigger: -1 or v?
v
Let t(k) = k**2 + 17*k + 75. Let n be t(-7). Suppose 2*h = 3*q + n, 0 = 5*q - 8*q - 3*h. Is q equal to 6/133?
False
Let u = 163.7 - 162. Let c = u + -1.74. Let b = 10 - 5. Is b bigger than c?
True
Suppose 5*x + 15 = 0, j + 650*x = 651*x + 38. Which is smaller: 80 or j?
j
Let x = -403/18 + 45/2. Let v(l) = -l**2 + 14*l - 7. Let i be v(13). Suppose 3*f - i*t - 18 = -3*t, 0 = -5*f - 5*t - 20. Which is smaller: x or f?
x
Suppose 0 = -352*g + 354*g - 76. Let v(n) = -n + 38. Let l be v(g). Which is smaller: 1/23 or l?
l
Let r be (-1 + 44/40)*4. Let s = -147 + 178. Which is smaller: r or s?
r
Suppose 0 = 3*t - z - 42, -4*z + z = -t + 6. Suppose 0 = -2*a + a + t. Let r be (-7)/(-26)*a/21. Which is smaller: 0 or r?
0
Let q = 1350.13 - 1286.4. Let w = -0.27 - q. Let j = 1 + 0. Is w greater than or equal to j?
False
Let r = -2161 + 616. Is -1545 at least as big as r?
True
Let j = 0.04 + -2.04. Let r = -86323 - -86323.44. Which is smaller: r or j?
j
Let r be (2 - 3)*11 + 2. Let y be -10*r/225*(-64 - 1). Let f = -2 + 3. Which is bigger: y or f?
f
Suppose 28*n - 11*n = -34. Suppose 0 = -u - 4, 2*u = -5*v + 5*u + 37. Suppose -v*f + 4*m = -1, 2*f - m + 2 = 3*m. Is f smaller than n?
False
Let a = 139054252/4991 + -27861. Is -0.2 less than or equal to a?
True
Suppose -4*m - 86 + 352 = f, -2*m - 272 = -f. Is f less than 4?
False
Let i = 147 - 1181/8. Let n = 20 - 34. Let m be n/(-56) - 2/8. Is i bigger than m?
False
Suppose -25*x + 24*x + 24*x = 2*x. Which is greater: x or -138?
x
Suppose -c - 5 = -9. Let x(b) = -189*b - 24. Let o be x(c). Let g be 1*-3*8/o. Which is greater: g or 0?
g
Suppose 0 = 2*f - 0*f + 4. Let t be -10 - (5 + -6 - (-5 - | {
"pile_set_name": "DM Mathematics"
} |
/100)/(56/40).
3/7
What is the value of ((-15)/21)/(7/14*372/(-217))?
5/6
What is (2480/(-775))/(-4*3/30)?
8
What is the value of -8*13/1170*15?
-4/3
Evaluate (-7)/8*90/(-315).
1/4
What is the value of (5/(-2))/(1/(-3))*36/189?
10/7
Evaluate 39/18590*11*20.
6/13
What is the value of ((-18)/(-4))/(-16*29/928)?
-9
What is the value of 24/(-54)*(-1)/((-20)/15)?
-1/3
What is (-3*18)/(5*(-13)/390*-12)?
-27
What is the value of ((-18)/(-36))/(85/(-20))?
-2/17
Evaluate 1/3*(-459)/(-51).
3
What is ((-44)/(-33))/((-8)/(-6))*3/7?
3/7
What is the value of (((-390)/25)/(-6))/((-17)/85)?
-13
Evaluate ((-67)/268*(-112)/10)/2.
7/5
What is the value of (12/(-90))/(46/207)?
-3/5
23/115*(-15)/9
-1/3
-8*(-35)/(-520)*-13
7
What is ((-4)/(-13))/(-2)*(399/42)/19?
-1/13
(2/(-10))/(20/50)*44/2
-11
Evaluate ((-74)/148)/((-1)/(-2)).
-1
What is (-2)/(-8)*(-8)/3*(-1512)/378?
8/3
What is 2*(-22*6/(-24))/1?
11
(-4)/((2424/303)/(((-2)/(-1))/(-1)))
1
Calculate (-1)/((-18)/(-396)*11)*7*1.
-14
What is 1/(-4)*((-98)/119)/(-7)*-2?
1/17
((10/(-14))/((-9)/21))/((-10)/(-126))
21
What is (-12)/(-8)*682/93?
11
(39/(-91))/((-4)/((-32)/8))
-3/7
Evaluate ((-210)/(-980))/(12/16)*1*-7.
-2
Evaluate (-1)/(-3)*((-1824)/36)/38.
-4/9
What is (6/148)/(8*48/(-512))?
-2/37
What is 52/(-36)*(-198)/(-11)*-1?
26
(-17)/(-765)*-65*(-10)/195
2/27
What is the value of (((-315)/(-14))/(-15))/((-10)/12)?
9/5
Calculate 5/(-50)*4*2/6*45.
-6
7/2*(-1*6)/((-90)/30)
7
(27/9)/(2*15/(-80))
-8
What is ((-32)/(-304))/(14/266)?
2
Calculate (((-1)/(-9))/((-2)/(-24)))/(1/12).
16
What is the value of (111/(-3996))/((-42)/72)?
1/21
What is (-48)/90*(-42)/56?
2/5
What is the value of (12/32)/((3/(-18))/((-58)/(-1044)))?
-1/8
What is 2/(((-1)/(-1))/(-16)*4)?
-8
Evaluate -176*(-48)/1536*8/(-14).
-22/7
What is ((2/(-4))/(-1))/(117/(2028/(-52)))?
-1/6
((-42)/273)/((-260)/507)
3/10
What is the value of 48/(56/(-7))*4/(168/(-7))?
1
Evaluate ((-6)/4)/(318/1696).
-8
What is the value of (4176/720)/((4/(-30))/(8/12))?
-29
What is 234/52*10/(-15)?
-3
What is the value of ((-3)/(-10))/(303/(-202))?
-1/5
Calculate (-63)/(-28)*(-24)/(-36).
3/2
What is the value of (40/420)/(129/(-602))?
-4/9
Evaluate ((-112)/4)/(-2)*(-825)/(-1155).
10
54*88/198*(-3)/(-4)*1
18
What is the value of ((-78)/(-65))/(-3*(-12)/90)?
3
Evaluate 4/(-2*4/16).
-8
What is the value of (18/(-54))/(4/(-204))?
17
(-38)/836*55*-12*(-4)/8
-15
What is 9/(-9)*(-928)/(-32)?
-29
(-14)/(-12)*2*132/(-1232)
-1/4
What is (-2*2)/(1916/(-10059))?
21
What is the value of ((-395)/(-237))/(1/(-3))?
-5
Calculate 6/((18/(-36))/(5/(-4)))*-1.
-15
(-11)/(-3)*(-58)/(-319)*(-3)/8
-1/4
What is (-15)/2*(-35)/(945/(-54))?
-15
What is the value of 9/(-42)*(-3*4)/(990/220)?
4/7
Calculate 60/100*3/(108/(-30)).
-1/2
((-2)/45)/((910/(-70))/(-130))
-4/9
Calculate (-13*1)/(1/(6*3/(-18))).
13
Calculate 2*(26/(-156))/(10/(-24)).
4/5
Calculate ((-8)/10)/((-210)/315).
6/5
What is ((-47)/423)/((-187)/(-153))?
-1/11
Evaluate (-2)/(-23)*14/(-84)*-6.
2/23
What is (-22542)/1105*25/(-30)?
17
Calculate ((-1932)/(-252))/((6/(-1))/18).
-23
Calculate (-7)/(56/12)*-1*(-7)/(-21).
1/2
17/(-51)*360/(-12)
10
What is the value of (-39)/(-12)*(-1070)/(-2782)?
5/4
Calculate (-40)/(-5)*63/72*2/343.
2/49
Evaluate (-114)/1482*((-4)/(-3))/(-4)*-6.
-2/13
What is ((-5)/20)/((15/3)/120)?
-6
Evaluate (-1)/((-7)/(-315)*5)*6/6.
-9
What is 1404/4212*(-1)/(-4)?
1/12
Calculate (270/12)/9*(154/55)/14.
1/2
Calculate -4*10/(-16)*12/(10/(-5)).
-15
Calculate 10/(-66)*90/50.
-3/11
What is the value of ((-15)/1)/((-12)/(-264)*22)?
-15
Calculate (-8)/6*(-144)/(-384).
-1/2
What is ((-4)/70)/((-31)/(1302/3))?
4/5
((-3)/(126/4))/((-51)/1224)
16/7
(285/114)/(1/((-76)/(-10)))
19
(45/2520)/(2/4)
1/28
What is the value of 22/(-33)*((-135)/(-6))/(-9)?
5/3
(25/700*-21)/(6/(-104))
13
What is the value of ((-18)/12)/((-420)/(-40))?
-1/7
What is (-9)/(495/(-40))*(-275)/50?
-4
What is ((-1)/((-1)/5))/((245/14)/7)?
2
What is the value of 9/((-99)/(-77))*-1?
-7
What is the value of (-2*(-9)/72)/((-3)/(-204))?
17
Evaluate ((-207)/(-483))/(12/7).
1/4
-4*(-18)/(-168)*-7
3
-2*(504/21)/240
-1/5
What is 22/4*(-5220)/(-23925)?
6/5
What is (-5*(-4)/(-20))/((-5)/550*-10)?
-11
(634/3804)/(10/(-6))
-1/10
What is (4696/10566)/(2/(-90))?
-20
What is the value of (-55)/(-385)*7/5?
1/5
What is (4/(-6)*1/4)/(349/3141)?
-3/2
Evaluate -84*16/(-128)*((-16)/(-6))/2.
14
What is (((-80)/25)/4)/(2/10)?
-4
Calculate 21/(-5)*(-840)/252.
14
(273/195)/((-6)/(-5))
7/6
(12/2)/(7*16/(-168))
-9
What is -10*((-240)/(-144))/(4/36*15)?
-10
(((-248)/16)/(-31))/((-2)/20*7)
-5/7
Evaluate (-31)/(279/18)*3.
-6
Calculate (26*3/(-1326))/(3/3).
-1/17
What is (72960/342)/160*-1*27/2?
-18
20*1*((-34)/119)/((-8)/(-14))
-10
What is (5/12)/5*((-912)/90)/19?
-2/45
What is the value of ((-4)/(-19))/((-1740)/(-870))?
2/19
Calculate ((-2)/(-7))/((-126)/1176*48/(-15)).
5/6
Calculate 15*(-9)/(-1530)*-1*1.
-3/34
What is the value of 3/(-2)*29/(-7917)*26?
1/7
Evaluate (25/105)/((155/15)/(-31)).
-5/7
What is the value of 2877/(-15344)*1/(9/4)?
-1/12
(-20*(-3)/128)/(39/(-52))
-5/8
((-2)/(-28))/(6/(-144)*4)
-3/7
(-52)/(-156)*12/(-1)
-4
What is the value of 8/(-28)*(-15)/(-8)*(-188)/(-235)?
-3/7
Evaluate 10*(-8)/(-1*24)*(-6)/4.
-5
Evaluate 2*(-63)/108*-3.
7/2
What is the value of (30/(-8))/(13*(-3)/(-26))?
-5/2
(((-12)/15)/2)/(((-272)/(-760))/17)
-19
Evaluate (-39)/((118/236)/((-3)/18)).
13
Calculate (-15)/3*-4*(-4)/(-160).
1/2
(24/816*17)/(2*-1)
-1/4
((-1)/(-2))/(528/(-5280))
-5
Evaluate 5/(50/(-20))*-6.
12
What is (5/3)/(-60*(-10)/4680)?
13
What is the value of 7/7*7/(7742/(-28))?
-2/79
What is (-250)/375*-3*1/(-30)?
-1/15
Calculate 6/(-5)*(-780)/468.
2
What is the value of (2/(64/168))/(6/16)?
14
What is 3*17/((-204)/(-44))?
11
What is the value of 7/(-7)*-1*20/(-16)?
-5/4
(-484)/726*(-11)/((-11)/(-30))
20
What is (4/42)/(38/(-513))*14/(-4)?
9/2
What is the value of 675/81*(-12)/(-150)*1/(-32)?
-1/48
Evaluate (15/(-20))/(((-3834)/(-9))/(192/12)).
-2/71
((-335)/(-670))/((-6)/20)*3/(-1)
5
Evaluate 51/(-3264)*-64*1*(-1)/(-19).
1/19
Calculate 84/63*(-1)/(1/(-6)).
8
Evaluate (8/(-184)*-23)/((-4)/(-10)).
5/2
What is the value of 9*5/135*105/5?
7
Evaluate (1316/(-141))/((-35)/30).
8
What is the value of (198/(-792))/(((-2)/(-20))/(4/5))?
-2
Calculate 36/108*(-135)/25*(-10)/2.
9
Calculate (27945/(-46))/(-81)*4/2.
15
(40/375)/(4*1/(-10))*3
-4/5
Calculate (-5)/(-3*(52/(-12))/(-13)).
5
What is (2/(-5))/(16/20)*(-156)/(-26)?
-3
Calculate (4/(-8))/(2/10*(-205)/902).
11
(-10*(-84)/(-39200))/((-6)/(-5))
-1/56
What is ((-635)/(-127))/((-50)/12)?
-6/5
What is the value of (64/768)/((-3)/2)?
-1/18
What is (-1740)/1044*(1/(-1))/5?
1/3
What is the value of 9/((55/825)/((-2)/18))?
-15
Calculate ((-9)/(-36))/(-1*24/6).
-1/16
What is ((-66)/12)/(7/14)?
-11
Calculate ((-2)/(-88))/(87/(-348)).
-1/11
What is the value of ((96/(-3))/8)/((-528)/154)?
7/6
Calculate ((-33)/99)/((-2)/(-84)*-2).
7
((-2)/(-7))/((-3264)/2856)
-1/4
What is (17/170*-5)/2?
-1/4
18*37/222*-6
-18
Evaluate 7/((-504)/(-150))*7/(-70)*4.
-5/6
Evaluate (-3)/((-154)/924*27*-1*1).
-2/3
Calculate (-25)/(((-715)/13)/11).
5
Evaluate (57*(-8)/192)/(21/(-168)).
19
What is ((-2)/(-5))/((-48)/60)*(-32)/(-1)?
-16
(10*(-5)/(225/6))/((-64)/(-384))
-8
What is the value of 4/(((-96)/30)/(-16))*1?
20
What is 3/((-4)/1*(-21)/((-420)/100))?
-3/20
What is the value of 107/(-1926)*4/4*-1*2?
1/9
What is (-725)/(-225)*27*3/(-9)?
-29
Evaluate 18171/1346*4/18.
3
(9/(-10)*2)/((-2)/((-540)/27))
-18
(-1824)/1064*14/9*21/(-36)
14/9
Calculate ((1610/(-69))/(-35))/((-2)/15).
-5
Calculate ((-592)/6660)/((-4)/30)*6/92.
1/23
What is the value of ((105/28)/(-5))/(10/((-1920)/198))?
8/11
Evaluate ((-6)/(-9))/((-72)/108).
-1
6/(16/(2688/(-72)))
-14
What is ((-30)/(-14))/(60*4/1120)?
10
Calculate (113/339)/(-1*3/(-81)).
9
What is -24*-13*24/(-468)*1/(-2)?
8
(-376)/(-235)*(-90)/27
-16/3
Calculate ((-80)/70*(-5)/30)/((-620)/(-434)).
2/15
((1092/(-143))/(-21))/(1/11)
4
Evaluate (-2*2/(-6))/((-256)/(-96)).
1/4
What is the value of ((-1)/(-2))/((308/(-55))/(-14))*-1?
-5/4
(111/(-4))/((-594)/528)*96/(-64)
-37
((-16)/20)/(17/255)
-12
What is the value of (-6)/(-3)*(2580/(-24))/(-43)?
5
What is the value of ((1/(-1))/4)/((-48)/3648)?
19
Calculate (-15)/12*108/(-30)*(-4)/(-1).
18
Calculate 6/((-2)/(-2))*3*32 | {
"pile_set_name": "DM Mathematics"
} |
7*b**3 - 35/9*b**2 - b + 1/54*b**4. Factor g(r).
2*(r - 1)*(r + 35)/9
Let l = 95/2184 + -1/39. Let z(o) be the third derivative of 0*o**3 + 6*o**2 - 1/784*o**8 + 0*o + 0*o**6 + 0 - 1/70*o**5 + 1/245*o**7 + l*o**4. Factor z(k).
-3*k*(k - 1)**3*(k + 1)/7
Suppose -k = -4*g + 36, g + 4*k = 2*k. Let h be (-3 - (-28)/g)/(0 - -1). Solve -1 - h*p**3 + 3/2*p + 0*p**2 = 0 for p.
-2, 1
Determine a, given that 22/7*a**2 - 86/7*a + 8/7*a**3 + 20/7 = 0.
-5, 1/4, 2
Let j(o) = -5*o + 3. Let m be j(1). Let y be (-1)/(-2) - 3/m. Factor -2 + t - 2*t**2 + 3*t**2 + 0 - y*t.
(t - 2)*(t + 1)
Let s(a) be the second derivative of a**6/6 + 5*a**5/4 - 10*a**4 + a - 3829. Factor s(x).
5*x**2*(x - 3)*(x + 8)
Let o(s) be the second derivative of s**5/20 - 3*s**4/8 + 81*s**2/2 - 95*s. Let m(n) be the first derivative of o(n). Solve m(k) = 0 for k.
0, 3
Suppose 1813*a - 12698 = -1048*a - 1254. Solve -12/5*p**3 + 2/5*p**a + 0*p**2 + 44/5*p + 6 = 0.
-1, 3, 5
Let q be (1 + 30/12)/((-11613)/(-2844)). Determine u, given that -58/7*u + 20/7 - q*u**2 = 0.
-10, 1/3
Determine x, given that -842518*x**2 - 108 + 60*x + 30*x**3 - 240*x - 3*x**4 + 842479*x**2 = 0.
-1, 6
Let b(j) be the third derivative of j**7/840 - 31*j**6/120 + 961*j**5/40 - 14*j**4/3 - j**2 - 25*j. Let k(u) be the second derivative of b(u). Factor k(w).
3*(w - 31)**2
Factor 8181*s - 8431*s - 5*s**2 - 237 - 243.
-5*(s + 2)*(s + 48)
Let z(c) be the third derivative of -1/840*c**7 + 0*c + 0 + 0*c**4 + 1/160*c**6 + 0*c**5 + 27*c**2 + 0*c**3. Find m such that z(m) = 0.
0, 3
Let x(o) be the first derivative of -169*o**7/210 - 13*o**6/9 - 5*o**5/6 + 13*o**3 - 92. Let b(y) be the third derivative of x(y). Factor b(z).
-4*z*(13*z + 5)**2
Suppose a - 5*c = -9, -5*a - 7 + 6 = -3*c. Suppose 25*r**2 - 27*r**2 + 3 - a = 0. What is r?
-1, 1
Let n(f) be the third derivative of -15/2*f**3 + 0 + 5/4*f**4 - 22*f**2 - 1/12*f**5 + 0*f. Factor n(g).
-5*(g - 3)**2
Suppose -i - 23 = -5*o, 40*o = 42*o + 4*i - 18. Let y(a) be the second derivative of 13*a - 1/21*a**4 + 0 + 1/21*a**3 + 1/70*a**o + 0*a**2. Factor y(q).
2*q*(q - 1)**2/7
Let o(n) = n**3 + 2*n**2 - 14*n - 1. Let x(p) = p**4 + 11*p**3 - 122*p**2 + 354*p - 389. Let c(m) = 5*o(m) - x(m). Factor c(a).
-(a - 6)*(a - 2)**2*(a + 16)
Factor 1195*v - 542 + 2270 - 128*v**2 + v**3 - 571*v - 5*v**3.
-4*(v - 6)*(v + 2)*(v + 36)
Suppose 5*k = -g + 1025, -g + 1035 = 5*k + 2*g. What is t in 25*t - 232*t**3 + 24*t + 216*t**3 + 3*t - k*t**2 = 0?
-13, 0, 1/4
Let s(h) = -3*h**2 + 50*h + 533. Let g be 6 + -4 + -3 + 6. Let w(y) = -4*y**2 + 51*y + 534. Let f(a) = g*s(a) - 4*w(a). Factor f(k).
(k + 23)**2
Let b(t) = 3*t - 108. Suppose 89*x - 1147 = 58*x. Let q be b(x). Solve -1/5*l**q - 9/5 - 3/5*l + l**2 = 0.
-1, 3
Suppose 3*y + 2*s - 4 = 0, 3*s = -0*y + y - 5. Let h = 309447/3580 + -168/895. What is g in -3/2 + 9/8*g**3 - 273/8*g**y + h*g**4 + 63*g**5 - 27/2*g = 0?
-1, -1/2, -2/7, -1/4, 2/3
Let x = 5429/703 + -276/37. Let s(q) be the first derivative of 6 - 2/95*q**5 - 22/19*q**3 + x*q**4 + 40/19*q**2 - 32/19*q. Let s(i) = 0. Calculate i.
1, 4
Suppose 74 = -6*t + 10*t - 2*a, 0 = 5*t + 5*a - 115. Let d be ((-13)/((-2925)/t))/((-4)/(-110)). Factor d*u + 2/9*u**3 + 10/9 + 14/9*u**2.
2*(u + 1)**2*(u + 5)/9
Factor 2/9*z**3 + 52/9*z**2 + 46/3*z + 0.
2*z*(z + 3)*(z + 23)/9
Let t = 7459/26546 + -12/1021. Let s(j) be the second derivative of -5*j + t*j**4 + 0 - 49/130*j**5 + 8/13*j**3 + 4/13*j**2. Solve s(m) = 0.
-2/7, 1
Let z(l) = -2*l**2 - 5*l - 6. Let f be z(-2). Let j be (-1)/((-16)/(-12))*f. Factor 4*q**3 + q**4 - q**2 + 2*q**3 - q**5 + 4*q**3 - 9*q**j.
-q**2*(q - 1)**2*(q + 1)
Let p(y) be the second derivative of y**7/210 + y**6/50 - 9*y**5/25 - 7*y**4/3 + 16*y**3/5 + 288*y**2/5 + 16*y - 22. Let p(u) = 0. Calculate u.
-4, -3, 2, 6
Let q(x) be the third derivative of -13*x**5/150 - 9*x**4/20 + 8*x**3/3 + 91*x**2 - 3. Factor q(j).
-2*(j - 1)*(13*j + 40)/5
Let h(r) be the second derivative of 1075/12*r**4 + 1/84*r**7 + 0 + 882*r**2 - 3/5*r**6 - 87*r + 413*r**3 + 201/40*r**5. Let h(l) = 0. Calculate l.
-2, 21
Suppose -5*f = -5*c + 10, 3*f + f - 2*c = 2. Suppose -2*m = f*r - 37, -3*r - m = -23 - 12. Factor 2*b**4 + 7*b - 15*b**3 + 4*b**2 - 12*b + 3*b**4 + r*b**2.
5*b*(b - 1)**3
Let p be 4/14*1687/8676. Let x(m) be the second derivative of -4/3*m**2 + p*m**4 - 36*m + 1/30*m**5 - 4/9*m**3 + 0. Suppose x(q) = 0. What is q?
-2, -1, 2
Let u(i) be the first derivative of -i**2 + 2*i + 84 - 19/6*i**3 - 3/10*i**5 - 7/4*i**4. Determine k so that u(k) = 0.
-2, -1, 1/3
Let x(i) be the first derivative of -i**6/150 - i**5/75 - i**4/120 + 2*i**2 - 5*i + 48. Let c(p) be the second derivative of x(p). Factor c(g).
-g*(2*g + 1)**2/5
Let v = -49598/51 - -16544/17. What is u in -5/6*u**3 - 1/6*u**4 + 0 - 4/3*u**2 - v*u = 0?
-2, -1, 0
Factor -699/2 - 3/2*p**2 + 11187/8*p.
-3*(p - 932)*(4*p - 1)/8
Let -2*c**3 + 23696*c - 10808*c - 11878*c - 896 - 112*c**2 = 0. What is c?
-64, 1, 7
Let l(u) be the first derivative of -18*u**3 + 1731*u**2/4 - 24*u - 7510. Factor l(c).
-3*(c - 16)*(36*c - 1)/2
Let r(c) = -25*c**4 + 1625*c**3 - 7300*c**2 + 10700*c - 5200. Let k(a) = 2*a**4 - 125*a**3 + 561*a**2 - 823*a + 400. Let u(b) = -40*k(b) - 3*r(b). Factor u(j).
-5*(j - 20)*(j - 2)**2*(j - 1)
Let r(c) be the second derivative of -c**4/48 + 37*c**3/4 - 12321*c**2/8 - 192*c. Find j such that r(j) = 0.
111
Let f(p) = p**3 - p**2 + 1. Let i(h) = -4 + 80 - 104*h + 72*h**2 + 5*h**3 - 24*h - 21*h**3. Let n(o) = -4*f(o) - i(o). Determine q so that n(q) = 0.
5/3, 2
Let i(c) be the first derivative of 0*c + 0*c**2 + 2/63*c**3 - 1/3*c**4 + 26/105*c**5 - 54. Factor i(o).
2*o**2*(o - 1)*(13*o - 1)/21
Let h = -277444/7 + 39637. Let -h*d - 3/7*d**2 - 18/7 = 0. What is d?
-3, -2
Let u = -718 - -720. Find d such that 150*d**u + 45*d - 68*d**2 + 363*d - 79*d**2 + 13872 = 0.
-68
Let j(r) = -50*r + 1505. Let l be j(30). Let a(s) be the third derivative of -s**2 + 5/84*s**4 + 0*s + 2/7*s**3 + 0 + 1/210*s**l. Solve a(w) = 0 for w.
-3, -2
Factor -30/7*t - 3/7*t**2 + 72/7.
-3*(t - 2)*(t + 12)/7
Let n(i) be the third derivative of 3*i**7/140 - 17*i**6/240 + 7*i**5/120 + i**4/48 + 1537*i**2. Factor n(w).
w*(w - 1)**2*(9*w + 1)/2
Find l, given that -4*l**4 - 40*l**3 - 19*l**3 - 660*l**2 - 40 + 40 - 1400*l - 37*l**3 = 0.
-14, -5, 0
Let o(l) be the first derivative of 11*l**4/6 + 7*l**3 - 36*l**2 - 88*l - 264. Let c(y) be the first derivative of o(y). Factor c(k).
2*(k + 3)*(11*k - 12)
Factor -37749*w**2 - 1332 + 75482*w**2 - 37758*w**2 + w**3 - 408*w.
(w - 37)*(w + 6)**2
Let c = 983 + -981. Let p(y) be the first derivative of -1/5*y**5 - 6 - 1/3*y**3 + 0*y + 1/2*y**4 + 0*y**c. Determine g so that p(g) = 0.
0, 1
Let v be 22 + 2*-1 + (-12)/6. Solve -5*s - 17*s**2 - v*s**2 + 15 - 2 + 22 + 5*s**3 = 0.
-1, 1, 7
Let t(r) be the first derivative of -r**6/57 + 12*r**5/95 + 8*r**4/19 + 4*r**3/57 - 15*r**2/19 - 16*r/19 - 1199. Solve t(a) = 0.
-1, 1, 8
Let r(f) = 41*f - 248. Let l be r(6). Let t(p) = 505*p**2 - 570*p + 65. Let i(v) = -23*v**2 + 26*v - 3. Let o(u) = l*t(u) - 45*i(u). Factor o(h).
5*(h - 1)*(5*h - 1)
Let o(l) be the first derivative of -104/9*l**3 + 0*l - 32 + 1/6*l**4 + 0*l**2. Factor o(j).
2*j**2*(j - 52)/3
Let b(r) = 0 + 53*r + 1135*r**3 - 164 + 4*r**2 - 1136*r**3. Let s be b(3). Factor -s*x - 2*x**3 + 5/4 + 1/4*x**4 + 9/2*x**2.
(x - 5)*(x - 1)**3/4
Factor 45/2*p**3 + 0 + 1/2*p**5 + 0*p - 25*p**2 - 6*p**4.
p**2*(p - 5)**2*(p - 2)/2
Let k(r) = -r**3 + 2*r**2 - 3. Let h = -66 + 68. Suppose -9 = 6*i - 5*i + h*q, -2*i + q = -2. Let g(v) = v + 1. Let n(y) = i*k(y) - 3*g(y). Solve n(d) = 0.
-1, 0, 3
Let g(h) = -4*h**4 - h**3 - h**2 - 2. Let o(a) = -13*a**4 + a**3 - 8*a**2 + 2*a - 6. Let v(i) = -3*g(i) + o(i). Let v(u) = 0. What is u?
0, 1, 2
Let z be (-29)/(290/(-20))*1. Let b(h) be the second derivative of 0*h**z + 1/6*h**3 + 14*h + 0 + 1/24*h**4. Let b(q) = 0. Calculate q.
-2, 0
Suppose -399 = 58*d - 65*d. Determine u, given that 3*u**2 - 28*u + 47 - d + 3*u**2 = 0.
-1/3, 5
Let a(o) be the first derivative of -1/6*o**3 - 1/4*o**2 + 1/2*o + 1/8*o**4 + 55. Factor a(l).
(l - 1)**2*(l + 1)/2
Let o be 64 + -60 - -9*11. Suppose 22*u + 369 - 369 - 44*u - o*u + 5*u**2 = 0. Calculate u.
0, 25
Let m(r) be the first derivative of r**5/20 - 39*r**4/16 - 31*r**3/3 - 21*r**2/2 + | {
"pile_set_name": "DM Mathematics"
} |
r: 3, e: 2, f: 4, s: 1}. Give prob of sequence sre.
1/165
Three letters picked without replacement from ylyyyybyy. Give prob of sequence lyy.
1/12
Calculate prob of sequence uuck when four letters picked without replacement from ukxcwuuwuwcwcuccw.
5/2856
Four letters picked without replacement from rrfrnffrffrnrnrrn. Give prob of sequence rffr.
1/51
Calculate prob of sequence asz when three letters picked without replacement from {z: 4, a: 5, s: 2}.
4/99
What is prob of sequence scu when three letters picked without replacement from {c: 1, y: 2, s: 1, z: 1, u: 2}?
1/105
Four letters picked without replacement from {h: 2, l: 3}. What is prob of sequence hllh?
1/10
What is prob of sequence il when two letters picked without replacement from {i: 7, l: 2}?
7/36
Three letters picked without replacement from bfjfkebkfeaefbe. Give prob of sequence jak.
1/1365
What is prob of sequence pppp when four letters picked without replacement from {r: 3, a: 3, p: 8, t: 1, l: 3}?
7/306
What is prob of sequence fofo when four letters picked without replacement from {z: 7, f: 11, o: 2}?
11/5814
Two letters picked without replacement from {l: 7, a: 2, n: 4}. Give prob of sequence an.
2/39
Four letters picked without replacement from {o: 1, k: 3, y: 1, q: 5}. Give prob of sequence kqqq.
1/28
Calculate prob of sequence tep when three letters picked without replacement from pebebcpjpctce.
3/572
Calculate prob of sequence ddd when three letters picked without replacement from {d: 3, i: 3}.
1/20
Calculate prob of sequence ppgp when four letters picked without replacement from ppgbgpgbpi.
1/70
Two letters picked without replacement from {g: 2, j: 1, o: 4, m: 3}. What is prob of sequence gj?
1/45
What is prob of sequence lv when two letters picked without replacement from {g: 3, e: 1, l: 1, v: 1, o: 1, h: 5}?
1/132
Four letters picked without replacement from yryywyywwwyyyy. What is prob of sequence rywy?
12/1001
Two letters picked without replacement from {g: 5, f: 1, v: 4, r: 4, h: 1, o: 3}. What is prob of sequence ho?
1/102
Calculate prob of sequence uu when two letters picked without replacement from {u: 4, i: 2}.
2/5
Two letters picked without replacement from {i: 1, j: 5, f: 3, r: 2, t: 6}. What is prob of sequence ji?
5/272
Calculate prob of sequence tn when two letters picked without replacement from gpgpntgggnjg.
1/66
Four letters picked without replacement from {g: 2, b: 1, i: 4}. Give prob of sequence iigg.
1/35
Four letters picked without replacement from {o: 1, q: 2, b: 2, v: 1, c: 1, r: 2}. Give prob of sequence orbb.
1/756
Two letters picked without replacement from {z: 2, b: 1, v: 1}. What is prob of sequence vb?
1/12
Calculate prob of sequence qyal when four letters picked without replacement from qlfafqyl.
1/420
Two letters picked without replacement from {c: 4, j: 1, a: 6}. What is prob of sequence ja?
3/55
What is prob of sequence onu when three letters picked without replacement from {u: 4, o: 1, n: 2}?
4/105
Calculate prob of sequence ff when two letters picked without replacement from fdffdffd.
5/14
Calculate prob of sequence ipqi when four letters picked without replacement from qqiyqiqiiqiqqyipiihp.
98/14535
What is prob of sequence ce when two letters picked without replacement from crcirercccrcc?
7/156
Calculate prob of sequence wlcb when four letters picked without replacement from {c: 1, b: 2, w: 1, l: 1}.
1/60
Two letters picked without replacement from {k: 3, s: 5}. What is prob of sequence ks?
15/56
Two letters picked without replacement from nbrzmnrknmnbbbz. Give prob of sequence mb.
4/105
Two letters picked without replacement from bbpzwwv. What is prob of sequence bb?
1/21
Calculate prob of sequence uqu when three letters picked without replacement from rcqqffuqrffcdu.
1/364
Calculate prob of sequence try when three letters picked without replacement from rytgygg.
1/105
What is prob of sequence jc when two letters picked without replacement from {h: 3, c: 2, b: 1, j: 1}?
1/21
What is prob of sequence mmm when three letters picked without replacement from mmm?
1
Two letters picked without replacement from {o: 7}. Give prob of sequence oo.
1
Three letters picked without replacement from sjfsjg. Give prob of sequence ssg.
1/60
Three letters picked without replacement from {l: 3, p: 1, w: 3, h: 3, e: 6, j: 1}. Give prob of sequence pjl.
1/1360
Three letters picked without replacement from {u: 4, v: 6}. What is prob of sequence uvv?
1/6
Two letters picked without replacement from qkqkqqqqqqkqqqqq. What is prob of sequence kq?
13/80
Two letters picked without replacement from {q: 5, l: 11}. What is prob of sequence qq?
1/12
Four letters picked without replacement from {m: 10}. Give prob of sequence mmmm.
1
Three letters picked without replacement from kgkkkgkgkkkkkk. What is prob of sequence kkg?
55/364
Calculate prob of sequence ai when two letters picked without replacement from zviidzzzzazai.
1/26
Calculate prob of sequence qkh when three letters picked without replacement from hkhhkhhhhkhhkhhhqkhh.
7/684
Calculate prob of sequence vvv when three letters picked without replacement from {v: 6}.
1
What is prob of sequence mu when two letters picked without replacement from {o: 2, u: 5, b: 4, m: 4}?
2/21
Calculate prob of sequence eer when three letters picked without replacement from {e: 2, g: 2, b: 1, u: 2, z: 1, r: 1}.
1/252
What is prob of sequence gggb when four letters picked without replacement from kgbggkkk?
1/280
Calculate prob of sequence bbb when three letters picked without replacement from {k: 5, b: 4, n: 4, e: 3}.
1/140
What is prob of sequence ev when two letters picked without replacement from {e: 4, d: 1, v: 1, l: 8, t: 6}?
1/95
Three letters picked without replacement from {k: 1, y: 1, j: 1, r: 3, e: 1}. Give prob of sequence ekr.
1/70
Four letters picked without replacement from {t: 2, p: 7, l: 1, g: 9}. Give prob of sequence tpgg.
7/646
What is prob of sequence dhq when three letters picked without replacement from rhdqrqrhqrhhh?
5/572
Calculate prob of sequence ah when two letters picked without replacement from aagaqaaqhqqhaaqh.
7/80
Four letters picked without replacement from {l: 3, v: 7, q: 2, g: 3, n: 1, y: 1}. What is prob of sequence vnlv?
3/1360
Three letters picked without replacement from {d: 1, h: 2, z: 1}. Give prob of sequence hzh.
1/12
Three letters picked without replacement from eneeeeeeerqrqqnere. Give prob of sequence qqr.
1/272
Four letters picked without replacement from kkkkhkkkkkkkkkk. What is prob of sequence hkkk?
1/15
Two letters picked without replacement from {h: 1, v: 6, w: 1, l: 2, d: 2}. What is prob of sequence ww?
0
What is prob of sequence zzb when three letters picked without replacement from {b: 2, z: 8, a: 9}?
56/2907
Calculate prob of sequence nbn when three letters picked without replacement from {b: 2, n: 2, y: 2}.
1/30
What is prob of sequence sns when three letters picked without replacement from ssnsnnnnssnn?
7/66
Calculate prob of sequence iw when two letters picked without replacement from {i: 1, w: 11}.
1/12
Two letters picked without replacement from {b: 11, u: 2, g: 5, i: 1}. What is prob of sequence bb?
55/171
Two letters picked without replacement from alqllqqqmqulmuamq. What is prob of sequence au?
1/68
Two letters picked without replacement from ddyby. What is prob of sequence yd?
1/5
Calculate prob of sequence jhh when three letters picked without replacement from {v: 1, j: 4, h: 6}.
4/33
Two letters picked without replacement from {y: 5, r: 7}. What is prob of sequence yr?
35/132
What is prob of sequence ig when two letters picked without replacement from ilg?
1/6
Three letters picked without replacement from {i: 7, a: 7}. Give prob of sequence aia.
7/52
Four letters picked without replacement from {u: 5, m: 5}. Give prob of sequence muum.
5/63
Four letters picked without replacement from {a: 1, v: 4, n: 2, j: 8}. Give prob of sequence aaaa.
0
Calculate prob of sequence dz when two letters picked without replacement from ddddzddddz.
8/45
Four letters picked without replacement from {p: 4, c: 3}. What is prob of sequence pccp?
3/35
Calculate prob of sequence ckt when three letters picked without replacement from ppcpptppppckkt.
1/273
Two letters picked without rep | {
"pile_set_name": "DM Mathematics"
} |
6.8
What is 0.1538611757424 plus 0.5?
0.6538611757424
Subtract 3 from 829.3293547358.
826.3293547358
Work out -56.9752472 - 182.
-238.9752472
What is -3 plus -88643128726?
-88643128729
9.5127198 - -571
580.5127198
Total of 9413050588051 and -4.
9413050588047
Sum -254932320626128 and 0.4.
-254932320626127.6
What is the distance between 0.14038 and -24541126797?
24541126797.14038
Work out -106.285 - -0.852704445.
-105.432295555
Work out 330695 + -8420010.
-8089315
0.156 + -1813286327
-1813286326.844
What is -0.0648782 less than 54499?
54499.0648782
Put together 23929987431 and 12.
23929987443
Add together -1838 and 3844469073.
3844467235
What is -19154090923 take away -0.041?
-19154090922.959
Calculate -31 - 767960636.
-767960667
What is 206406806 plus 38021?
206444827
What is 8786.99231 minus 437.3?
8349.69231
Work out -0.3 + 18116604643919.
18116604643918.7
Work out 1.898 + 20793.215817.
20795.113817
What is 18879.5 plus 120.5082274?
19000.0082274
Work out 0.49 + 56773593514.
56773593514.49
Add 0.02315696483 and -0.0417.
-0.01854303517
What is -0.1 minus -1895526560163?
1895526560162.9
What is 1.46921 minus 2808.85556?
-2807.38635
Add together 0 and -845885405610.
-845885405610
Calculate 12.1 - -1311954502038.
1311954502050.1
2436942141+49453
2436991594
Put together 1144745880654.93 and 0.03.
1144745880654.96
Put together -15846.189 and 15327.
-519.189
What is 238512718 - -385?
238513103
Work out -0.385 + -136612.52618.
-136612.91118
What is -3338896169 plus 0.473?
-3338896168.527
What is 28450.432036 less than -1883?
-30333.432036
Work out -127181 + -1410073.
-1537254
What is 984.9932 take away 228019?
-227034.0068
What is the distance between 210.888897 and -6907.2?
7118.088897
Subtract -35758110 from -19.58611.
35758090.41389
Add together 0.1206093624 and -0.0134302.
0.1071791624
Calculate 1965 - -122610305.
122612270
Subtract 3929533953 from -0.1054.
-3929533953.1054
Add together -2.56 and 138014418912.
138014418909.44
Total of 430 and 9.79822852.
439.79822852
What is 1 plus 2687775.04952?
2687776.04952
2610+26119.92
28729.92
Put together 1225907.915 and 219.
1226126.915
What is -1742 minus 8651739426?
-8651741168
What is 1749.9628 minus 59.615?
1690.3478
Add together 19896.61333 and 0.001.
19896.61433
What is -193656483 plus -8544?
-193665027
Put together -17255.171373 and 10065.
-7190.171373
What is -63361250209829 plus -0.05?
-63361250209829.05
Add together -331 and 834237108.
834236777
Add together 122551042 and -73410.27.
122477631.73
Calculate 2 + 75744322647967.
75744322647969
What is 49028411648 take away 282?
49028411366
What is 4 + -11945544165181?
-11945544165177
Subtract -4367526 from -14746.
4352780
-2201926184+-84.26
-2201926268.26
What is 8501 + -73377490.2?
-73368989.2
What is the distance between -2105587047 and 0.012144?
2105587047.012144
What is 727298342707 minus -0.02?
727298342707.02
What is 4.71839 less than -0.036242?
-4.754632
What is -48930.6979 take away -0.04956?
-48930.64834
Calculate 126510.07 - -16377.
142887.07
-0.2 + 8321823.6911
8321823.4911
-4892662431773 - 0.4
-4892662431773.4
What is the distance between -16831911 and -2021.6058?
16829889.3942
What is 2905166 less than -48689925?
-51595091
What is 387430 - -459780?
847210
What is -0.1 + -1061955595601?
-1061955595601.1
-0.35893074+5596205
5596204.64106926
-1580363262 - -0.245
-1580363261.755
What is -217008646 - 1512636?
-218521282
Total of -310437 and -0.560496501.
-310437.560496501
Calculate 6116143790948 + -276.
6116143790672
20.6483464+119
139.6483464
What is 0.0312991 less than -2624.991?
-2625.0222991
What is 1727374605579 - -231?
1727374605810
0.31488378556+-0.3
0.01488378556
-1765417485+0.091
-1765417484.909
Put together 0.4 and -24326476.1776.
-24326475.7776
What is -13 plus 10769365233.9?
10769365220.9
What is 93113413 minus 0.113192?
93113412.886808
What is the distance between 57.2111066966 and -51?
108.2111066966
Calculate -84874.0128 - -24626.
-60248.0128
What is the difference between -8281636 and 0.10471912?
8281636.10471912
What is -0.5 plus 0.2560601621?
-0.2439398379
Subtract 13403417965 from 1202.
-13403416763
Calculate 49454473 - -0.8549153.
49454473.8549153
445540449371.09 - -3
445540449374.09
What is 23252.2 minus -1704.307?
24956.507
Work out -0.1465 + -12478567433.
-12478567433.1465
1.29329+-1850.58767
-1849.29438
What is 1606.3 take away -277760.025?
279366.325
What is 46.7722 + 174703?
174749.7722
Put together -214188 and 12.9753.
-214175.0247
What is the distance between -71352 and 17.085169?
71369.085169
-132107 - -762860
630753
What is the difference between 1786133686 and -37399?
1786171085
Calculate -85223077434 - -76.
-85223077358
Sum 0.044004038341 and -7.
-6.955995961659
-0.4 - -377716400732
377716400731.6
What is -3768 minus -31.32257227?
-3736.67742773
2.098 - 3619845367
-3619845364.902
What is -137.55 plus -12.62947855?
-150.17947855
Add 54309232.316 and 1654.
54310886.316
Put together -938.48039 and -21550.
-22488.48039
What is 1882328208 minus 0.58105?
1882328207.41895
What is 27231.322 - 0.439?
27230.883
What is -54175658448721 take away 0.3?
-54175658448721.3
What is -0.26 less than -623228632961?
-623228632960.74
Add together -12879536937620 and -5.
-12879536937625
Calculate 318080393126 + -2.4.
318080393123.6
What is -2 take away 387.99277973316?
-389.99277973316
Put together -5028 and -1064046838.
-1064051866
Add -9.441603 and 92.97.
83.528397
What is the distance between 3.660236815525 and -3?
6.660236815525
What is -0.422 take away 155650811?
-155650811.422
-54632279375 - -8852
-54632270523
Add together 0.3 and -16539729778.6.
-16539729778.3
Calculate 2031559331461 - -3.
2031559331464
What is -40423 + -5434.2?
-45857.2
Calculate 0.1 + -4970804796145.
-4970804796144.9
-21908 - 7.054269981
-21915.054269981
Put together -4.1 and -30115730960.
-30115730964.1
Add -0.3 and -26700458347754.
-26700458347754.3
-2931.6402802 - -0.2
-2931.4402802
Subtract 3240 from -4212744.78.
-4215984.78
Total of 17.98 and -14117706939.
-14117706921.02
What is the difference between -179582.6 and -24592?
154990.6
What is the distance between 0.7182418593 and 2.7?
1.9817581407
Put together -4246518.1 and 6331.
-4240187.1
Work out -0.0575350363045 - 21.
-21.0575350363045
6777114.967586 + 9
6777123.967586
-59545995360 - 17
-59545995377
Calculate -7643 + 721.46915.
-6921.53085
Subtract -5112.63534 from 487.
5599.63534
Sum 0.009 and 5120850553.1.
5120850553.109
Put together 0 and 152463.022283.
152463.022283
Add -0.077464199 and 0.14303.
0.065565801
What is 732584923846 take away 0.3?
732584923845.7
-27297.07 - 48589.1
-75886.17
Calculate 8 - 105.3647944052.
-97.3647944052
1 - 156.41946401012
-155.41946401012
What is -3728.1691549 - 0.18?
-3728.3491549
What is -0.8 plus -8278457335?
-8278457335.8
Sum 11.1995836 and 0.642.
11.8415836
What is 14590 take away -2696222120?
2696236710
What is 8.4 minus 55937019778?
-55937019769.6
Calculate 14.8 + 637545694968.
637545694982.8
Work out -20769374132944 + -4.
-20769374132948
Add together 358494003918 and -0.37.
358494003917.63
Work out 1.1577 + 186592.9.
186594.0577
What is -15453807.04 plus -45.7?
-15453852.74
Add together 3205057501 and 66.
3205057567
Work out -1.92283786 + -764.742.
-766.66483786
Sum 24696040669475 and -17.
24696040669458
What is 2.1547 less than 3590423?
3590420.8453
-14433.0607477+0.5
-14432.5607477
What is -3 - 8329955.2483106?
-8329958.2483106
What is -3376.2 + 16.79587?
-3359.40413
What is -7 + -0.063548544276?
-7.063548544276
11.3931 - -119423119
119423130.3931
Subtract 5406488987 from 263.
-5406488724
What is 25706289380433 less than 5?
-25706289380428
What is 2614 minus 0.0835307729?
2613.9164692271
Calculate 6892066305 - 0.14.
6892066304.86
Calculate -217 + 594536.962.
594319.962
What is -137353730711 - -3?
-137353730708
What is -498067483 + -13063?
-498080546
What is -120642 less than -1248290?
-1127648
What is 15.5 - -1.437650928?
16.937650928
Add together 4.609 and -19643558.
-19643553.391
What is 5542 + 175240439?
175245981
0.1+2732042060357.82
2732042060357.92
Add together -7.31698014 and -0.0613528.
-7.37833294
What is 1.91301891698919 take away -0.5?
2.41301891698919
Put together -706822874347 and -23.
-706822874370
Work out -730.445142 - -4540.
3809.55485 | {
"pile_set_name": "DM Mathematics"
} |
1
Collect the terms in -1409122*v**2 + 2818219*v**2 + 21*v**3 - 1409097*v**2.
21*v**3
Collect the terms in 507*o - 255*o - 212*o.
40*o
Collect the terms in -4*l + 53*l**3 - 821*l**2 + 2 - 54*l**3 + 4*l - 1.
-l**3 - 821*l**2 + 1
Collect the terms in 0 - 20731*y**2 + 10375*y**2 + y + 10339*y**2 + 4 - 4.
-17*y**2 + y
Collect the terms in 22593373*b**2 - 22591290*b**2 + 45*b - 45*b.
2083*b**2
Collect the terms in -204 - 183 - 29*r**2 + 388 - 42*r**2 - 91*r**2.
-162*r**2 + 1
Collect the terms in -952 - 182*x + 1834 - 882 + 403*x - 198*x.
23*x
Collect the terms in 99*c + 3 - 4155*c**3 - 3 + 3642*c**3.
-513*c**3 + 99*c
Collect the terms in 32716 - 32716 + 9669*d**2.
9669*d**2
Collect the terms in 2042 - 1369653*n + 1369652*n - 1020 - 1022.
-n
Collect the terms in 145*u**2 + 4238*u**2 - 101*u**2.
4282*u**2
Collect the terms in -472 + 934 - 462 + 105067*d**2.
105067*d**2
Collect the terms in -13181*v**2 + 33192*v**2 + 11070*v**2.
31081*v**2
Collect the terms in -43646*p**3 - 30*p + 12*p + 8*p + 10*p.
-43646*p**3
Collect the terms in 140296*x + 139947*x + 4*x**3 - 280243*x.
4*x**3
Collect the terms in 25704*q - 135 - 12857*q - 12850*q.
-3*q - 135
Collect the terms in 369*f**2 - 2*f + 2*f - 1352*f**2 - 2573*f**2.
-3556*f**2
Collect the terms in -3697826 - d**3 - 3697816 + 5*d**3 + 7395636.
4*d**3 - 6
Collect the terms in -27673*b - 41*b**2 - 12291*b + 19*b**2.
-22*b**2 - 39964*b
Collect the terms in -462 - 3*w**3 + 987 - 16*w**2 + 10*w**2 - 525.
-3*w**3 - 6*w**2
Collect the terms in -281907*y**2 + 141528*y**2 + 141235*y**2.
856*y**2
Collect the terms in -697 + 4265*s - 5500*s + 697.
-1235*s
Collect the terms in -1301*v - 1823*v + 136 - 136.
-3124*v
Collect the terms in 3145 + 3130 + 3137 - 5*k + 7*k - 9412.
2*k
Collect the terms in -185 + 6*z - 200 + 565 - 193.
6*z - 13
Collect the terms in 1 - 1 - 1825062*s + 1820680*s.
-4382*s
Collect the terms in -1028*j + 6*j**3 + 2194*j**2 + 19*j**3 + 1028*j - 2194*j**2.
25*j**3
Collect the terms in 5*l - 16*l - 564*l**2 + 56 + 563*l**2 + 11*l.
-l**2 + 56
Collect the terms in 23590 - 11800 - 11790 - 3585*g.
-3585*g
Collect the terms in -36548*y - 136 - 6737*y - 132 + 268.
-43285*y
Collect the terms in 59630*m**2 - 3*m - 29814*m**2 - 3789*m**3 - 29816*m**2.
-3789*m**3 - 3*m
Collect the terms in 17306*b - 34619*b + 17307*b + 2*b**2.
2*b**2 - 6*b
Collect the terms in 148058*n + 8264*n - 12770*n.
143552*n
Collect the terms in 534564 - 534564 - 17447*a.
-17447*a
Collect the terms in 7257051*q**2 - 12*q - 7257048*q**2 + 12*q.
3*q**2
Collect the terms in -2 + 44799848*c - 2*c**2 + c**2 - 44799848*c.
-c**2 - 2
Collect the terms in -3480*q + 3477*q - 3*q**2 + 15 + 2*q**2 + 0*q**2 + 15.
-q**2 - 3*q + 30
Collect the terms in -20*n**2 - 46423751*n + 46423751*n.
-20*n**2
Collect the terms in 10*v**2 + 12 + 255661223688*v - 12 - 255661223688*v.
10*v**2
Collect the terms in -241818696261*f + 4*f**2 + 241818696261*f.
4*f**2
Collect the terms in 6164079 + 4*a + a**3 - 6164079.
a**3 + 4*a
Collect the terms in 1026*b + 102*b**3 - 63*b**3 + 101*b**3.
140*b**3 + 1026*b
Collect the terms in -11514 - 131*w**2 + 11514 + 964*w**2.
833*w**2
Collect the terms in -184 - 13*v**2 + 411 - 229 + 16*v**2 + 22*v**2.
25*v**2 - 2
Collect the terms in -1848019*a - 2974368*a + 1476767*a.
-3345620*a
Collect the terms in -3*b + 4029*b**2 + 3*b - 1677*b**2 + 6081*b**2.
8433*b**2
Collect the terms in 205531 + 205528 + 24*o**3 - 411059.
24*o**3
Collect the terms in -837*j**2 + 88*j**2 + 2*j**3 - 355*j**2 + 2*j.
2*j**3 - 1104*j**2 + 2*j
Collect the terms in -10063*n - 10081*n + 40345*n - 10125*n - 10078*n.
-2*n
Collect the terms in 33*d - 28*d + 9*d - 3*d**2 + 10*d + 3*d**3.
3*d**3 - 3*d**2 + 24*d
Collect the terms in -401*j**3 - 4 + 4 + 93*j**3 - 400*j**3.
-708*j**3
Collect the terms in 43 + 30 + 32 - 68*n - 105.
-68*n
Collect the terms in -9*y - 186 - y**3 - 3*y**3 + 5*y - 11*y**2 - 5*y.
-4*y**3 - 11*y**2 - 9*y - 186
Collect the terms in 257468*z**2 + 1 - 128614*z**2 - 128719*z**2.
135*z**2 + 1
Collect the terms in -23088*z + 10772*z + 12287*z.
-29*z
Collect the terms in -98017080184*l**2 + 8*l**3 + 98017080184*l**2.
8*l**3
Collect the terms in 614*j**2 - 1193*j**2 + 0 - 87*j + 0 + 576*j**2.
-3*j**2 - 87*j
Collect the terms in 6 - 5 + 51*u**2 - 68*u**2 - 1 + 52*u**2.
35*u**2
Collect the terms in 448*c + 448*c + 456*c + 455*c + 454*c - 2730*c + 456*c.
-13*c
Collect the terms in 8871*o + 8*o**3 - 9 + 28 - 19.
8*o**3 + 8871*o
Collect the terms in -3403998*p**3 + 1702004*p**3 + 1701995*p**3 + 13.
p**3 + 13
Collect the terms in 3409*u**3 - 1047*u**3 - 1052*u**3 - 1314*u**3 + 0 + 0.
-4*u**3
Collect the terms in 1 - 14871*p - 1 - 8616*p.
-23487*p
Collect the terms in 497*d**3 + 171386*d**2 - 85*d - 171386*d**2.
497*d**3 - 85*d
Collect the terms in -40*f**3 + 33416*f**2 - f + f.
-40*f**3 + 33416*f**2
Collect the terms in -574*v - 1046*v**2 + 1032*v**2 + 574*v.
-14*v**2
Collect the terms in -84*j**2 + 41*j**2 - 14508*j + 45785*j + 40*j**2.
-3*j**2 + 31277*j
Collect the terms in 2523320681 + 145*w**3 - 2523320681.
145*w**3
Collect the terms in 9*w**3 + 14*w**3 - 14*w**3 + 4*w**3 + 263*w - 463*w + 200*w.
13*w**3
Collect the terms in 40*d - 62*d + 20*d - 88.
-2*d - 88
Collect the terms in 11680*u - 5454*u - 13 - 5547*u.
679*u - 13
Collect the terms in 5*z + 4 + 1 + 0 - 6*z**2 - 2*z**2.
-8*z**2 + 5*z + 5
Collect the terms in 5093*k + 107*k**2 + 92*k**2 - 178*k**2 - 5093*k.
21*k**2
Collect the terms in 0*r + 0*r**3 - 6 + 29 + r**3 + 34 - 322*r**2 + r.
r**3 - 322*r**2 + r + 57
Collect the terms in -141 + 141 - 3851623*g**3 + 3851838*g**3.
215*g**3
Collect the terms in 2089342*h + 1571942*h + 314603*h.
3975887*h
Collect the terms in -v - 46058618 + 138175828 - 46058596 - 46058614.
-v
Collect the terms in 376321663 - 188160835 - 188160828 + i**3.
i**3
Collect the terms in 60*w**3 + 16*w**3 + 662*w**3 + 113*w**3 - 731*w**3.
120*w**3
Collect the terms in 462639*m - 462639*m - 232*m**3.
-232*m**3
Collect the terms in 25*r**2 - 2 + 2 + 1834787304*r - r**2 - 1834787304*r.
24*r**2
Collect the terms in -9*w - 5439 + 19*w + 10953 - 5514 + 8*w.
18*w
Collect the terms in -1 + 1 - 3634*s + 1514*s - 4346*s.
-6466*s
Collect the terms in -3*b**3 + 3526*b - 10511*b - 2*b**3 + 3652*b + 3333*b.
-5*b**3
Collect the terms in 3443*o**2 - 53536*o**2 - 2*o**3 - 73*o**2 - 79090*o**2 + 2*o.
-2*o**3 - 129256*o**2 + 2*o
Collect the terms in 99940*n + 10697*n + 6545*n + 26227*n.
143409*n
Collect the terms in -982*k**2 + 742*k**2 + 4490*k**2 - 4 + 4 - 3*k.
4250*k**2 - 3*k
Collect the terms in 220663*r - 110315*r - 110348*r - 147*r**2.
-147*r**2
Collect the terms in 36262*x - 69446*x + 33173*x.
-11*x
Collect the terms in 33698495*s + 33698576*s - 67397071*s - 6*s**3.
-6*s**3
Collect the terms in 15*a**2 - 47*a**2 + 32*a**2 - 16*a**3 - 730*a**3.
-746*a**3
Collect the terms in 11178*l - 24156*l + 11715*l.
-1263*l
Collect the terms in -j**2 - j - 73927326 + 73927312 + j.
-j**2 - 14
Collect the terms in -28403*x**3 - 27732*x**3 + 56836*x**3.
701*x**3
Collect the terms in -646 - 259 - 323 - 6*g**3 + 1228.
-6*g**3
Collect the terms in -131*v - 93*v - 299*v**2 + 224*v + 71*v**2.
-228*v**2
Collect the terms in -3121*a**3 + 67 - 110 + 43 + 586*a**3.
-2535*a**3
Collect the terms in -6*b**2 + 164465562044*b + b**2 - 164465562044*b.
-5*b**2
Collect the terms in 3*v**2 + v**2 - v**2 - 3*v**2 - 68018*v**3.
-68018*v**3
Collect the terms in -5*b**2 + 69490857*b - 69490857*b.
-5*b**2
Collect the terms in -615408845573*t**2 - 5*t**3 + 615408845573*t**2.
-5*t**3
Collect the terms in 532*t + 515*t - 2080*t + 531*t + 532*t.
30*t
Collect the terms in 3924491*h - 10*h**2 - 3924491*h + 34*h**2 - 15*h**2 - 16*h**2.
-7*h**2
Collect the terms in 178598*f + 116079*f - 172858*f + 237670*f.
359489*f
Collect the terms in 908 - 3*q**3 - 809 - 13*q**3 + 15*q**3.
-q**3 + 99
Collect the terms in 1 - 1354*w - 1 - 404*w + 2162*w - 405*w.
-w
Collect the terms in 4*x**3 + 3941176*x - 7882351*x + 3941175*x.
4*x**3
Collect the terms in 2*l**2 + 2*l**2 - 6*l**2 - 64 - 304*l.
-2*l**2 - 304*l - 64
Collect the terms in 71*z + 10*z + 23*z - 21*z - 4.
83*z - 4
Collect the terms in 36 + 74*i**2 + 226*i**2 + 65*i**2.
365*i**2 + 36
Collect the terms in 0*h**3 + 14 + 0*h**3 + 0*h**3 - 4*h**3 - 364*h - 16.
-4*h**3 - 364*h - 2
Collect the terms in | {
"pile_set_name": "DM Mathematics"
} |
h that -k**5 + 5*k**4 + k**3 - 41*k**2 + 72*k - 36 = 0.
-3, 1, 2, 3
Suppose p**4/9 + 4*p**3/9 - p**2 - 4*p = 0. What is p?
-4, -3, 0, 3
Factor 3*p**2/5 + 450*p + 84375.
3*(p + 375)**2/5
Solve -3*c**2 - 27*c - 60 = 0 for c.
-5, -4
Suppose 3*f**3/5 + 108*f**2/5 + 252*f + 960 = 0. Calculate f.
-16, -10
Factor -f**3/6 + 8*f**2/3 - 27*f/2 + 21.
-(f - 7)*(f - 6)*(f - 3)/6
Suppose r**5/2 - 11*r**4/2 + 3*r**3 + 22*r**2 - 20*r = 0. What is r?
-2, 0, 1, 2, 10
Factor -16129*i**2/2 - 508*i - 8.
-(127*i + 4)**2/2
Suppose -4*j**3 - 12*j**2 + 144*j - 128 = 0. Calculate j.
-8, 1, 4
Factor -3*o**3/7 + 12816*o**2/7 - 18249984*o/7 + 8662659072/7.
-3*(o - 1424)**3/7
Factor 4*k**5 + 32*k**4 + 69*k**3 - 7*k**2 - 98*k.
k*(k - 1)*(k + 2)*(2*k + 7)**2
Suppose 4*f**5 - 16*f**4 - 24*f**3 + 16*f**2 + 20*f = 0. Calculate f.
-1, 0, 1, 5
Factor -3*u**3 - 165*u**2 + 12*u + 660.
-3*(u - 2)*(u + 2)*(u + 55)
Determine u so that u**2/4 - 55*u/2 = 0.
0, 110
Find l, given that -2*l**2/11 + 10464*l/11 - 13686912/11 = 0.
2616
Suppose -3*l**2/5 + 108*l/5 = 0. Calculate l.
0, 36
Let 2*m**5/5 + 20*m**4 + 1432*m**3/5 + 4508*m**2/5 + 3174*m/5 = 0. What is m?
-23, -3, -1, 0
Determine k, given that -4*k**2 + 15592*k - 15194404 = 0.
1949
Solve -i**2 + 5*i = 0 for i.
0, 5
Factor 2*w**2 - 14*w/3 + 4/3.
2*(w - 2)*(3*w - 1)/3
Determine b so that 9*b**5/5 + 12*b**4 - 534*b**3/5 + 576*b**2/5 + 837*b/5 - 324/5 = 0.
-12, -1, 1/3, 3
Find j such that -2*j**4/13 - 12*j**3/13 + 44*j/13 - 30/13 = 0.
-5, -3, 1
Factor -4*h**4 - 14448*h**3 - 13060984*h**2 - 26078640*h - 13032100.
-4*(h + 1)**2*(h + 1805)**2
Determine i so that -i**3/3 + 22*i**2/3 + 47*i/3 + 8 = 0.
-1, 24
Factor 4*y**3 + 16*y**2 + 20*y + 8.
4*(y + 1)**2*(y + 2)
Find h, given that -28*h**2 + 20*h + 8 = 0.
-2/7, 1
Factor 25*s**4/8 + 40*s**3 + 143*s**2 + 96*s + 18.
(s + 6)**2*(5*s + 2)**2/8
Let 5*t**3/2 + 20*t**2 - 5*t/2 - 20 = 0. What is t?
-8, -1, 1
Factor w**3/3 + 46*w**2 + 1792*w + 40960/3.
(w + 10)*(w + 64)**2/3
Determine k, given that 18*k**3 + 3*k**2 = 0.
-1/6, 0
Let -s**5/6 + s**4/3 + 4*s**3/3 + s**2/3 - 7*s/6 - 2/3 = 0. Calculate s.
-1, 1, 4
Factor 2*n**4/3 + 640*n**3/3 + 16852*n**2 - 103040*n/3 + 51842/3.
2*(n - 1)**2*(n + 161)**2/3
Suppose -2*b**4/11 - 192*b**3/11 - 6720*b**2/11 - 102400*b/11 - 576000/11 = 0. Calculate b.
-36, -20
Determine l, given that 3*l**3 - 23*l**2 - 10*l + 16 = 0.
-1, 2/3, 8
Factor 2*x**2 + 366*x + 1080.
2*(x + 3)*(x + 180)
Find a, given that 3*a**2/7 + 5646*a/7 + 2656443/7 = 0.
-941
Find b, given that -b**2 - 120*b + 244 = 0.
-122, 2
Determine z, given that 12*z**2 - 574*z - 96 = 0.
-1/6, 48
Solve -2*n**3/13 - 232*n**2/13 - 456*n/13 = 0 for n.
-114, -2, 0
Factor 5*j**3 + 720*j**2 + 25185*j - 53290.
5*(j - 2)*(j + 73)**2
Factor -2*g**2 - 854*g - 852.
-2*(g + 1)*(g + 426)
Let u**5/2 - u**4 = 0. Calculate u.
0, 2
Factor 8*q**2 - 646*q - 162.
2*(q - 81)*(4*q + 1)
Factor s**2/3 - 1634*s/3 + 667489/3.
(s - 817)**2/3
Factor 2*h**3 + 64*h**2 + 370*h + 500.
2*(h + 2)*(h + 5)*(h + 25)
Find n, given that -n**3/3 + 22*n**2/3 = 0.
0, 22
Solve -4418*n**4/9 - 1598*n**3/3 + 8452*n**2/9 + 248*n/3 + 16/9 = 0.
-2, -2/47, 1
Factor -w**2 - 4*w + 21.
-(w - 3)*(w + 7)
Solve -2*i**4/7 + 6*i**3/7 + 68*i**2/7 + 96*i/7 = 0.
-3, -2, 0, 8
Suppose -21*k**5/4 - 180*k**4 - 1569*k**3/4 - 531*k**2/2 - 48*k = 0. Calculate k.
-32, -1, -2/7, 0
Suppose -3*d**2 - 5520*d - 2539200 = 0. Calculate d.
-920
Determine l, given that 2*l**4/11 + 32*l**3/11 + 58*l**2/11 + 28*l/11 = 0.
-14, -1, 0
Suppose 2*s**2 - 180*s - 2222 = 0. What is s?
-11, 101
What is q in 3*q**2 - 12 = 0?
-2, 2
Suppose 4*g**5 - 28*g**4 - 172*g**3 - 68*g**2 + 264*g = 0. Calculate g.
-3, -2, 0, 1, 11
Solve -12*m**2 + 20*m - 25/3 = 0.
5/6
Determine a so that 5*a**2 + 15*a - 900 = 0.
-15, 12
Suppose 3*n**3/2 + 24*n**2 + 96*n = 0. What is n?
-8, 0
Solve -3*t**3 - 864*t**2 + 1737*t - 870 = 0.
-290, 1
Suppose u**2 - 290*u + 21025 = 0. Calculate u.
145
Solve -b**5 + 39*b**4 + b**3 - 39*b**2 = 0.
-1, 0, 1, 39
Determine g so that 3*g**5 - 21*g**3 - 6*g**2 + 36*g + 24 = 0.
-2, -1, 2
Find a such that 3*a**5 + 81*a**4 - 174*a**3 + 6*a**2 + 171*a - 87 = 0.
-29, -1, 1
Factor 3*d**2 + 78*d - 168.
3*(d - 2)*(d + 28)
Suppose -2*f**3/11 - 28*f**2/11 - 98*f/11 - 72/11 = 0. Calculate f.
-9, -4, -1
Determine k, given that 5*k**2 + 265*k = 0.
-53, 0
Suppose -5*d**2 + 330*d - 325 = 0. What is d?
1, 65
Factor -36*u**3 + 820*u**2 - 1976*u - 480.
-4*(u - 20)*(u - 3)*(9*u + 2)
Suppose -2*a**3/17 + 2288*a**2/17 + 4582*a/17 + 2292/17 = 0. Calculate a.
-1, 1146
Suppose l**2/2 - 37*l + 1369/2 = 0. Calculate l.
37
Find x, given that -3*x**3 + 6*x**2 + 24*x = 0.
-2, 0, 4
Factor c**3 - 8*c**2 + 19*c - 12.
(c - 4)*(c - 3)*(c - 1)
Factor -y**3 + 6*y**2 - 11*y + 6.
-(y - 3)*(y - 2)*(y - 1)
Factor -3*k**5/7 + 6*k**4/7 - 3*k**3/7.
-3*k**3*(k - 1)**2/7
Factor 2*g**2/7 + 1104*g/7 - 158.
2*(g - 1)*(g + 553)/7
Factor -o**3/6 + 59*o**2/2 - 3481*o/2 + 205379/6.
-(o - 59)**3/6
Factor 40*l**2 - 5044*l + 504.
4*(l - 126)*(10*l - 1)
Determine g so that -3*g**2/2 - 33*g - 60 = 0.
-20, -2
Determine z so that -4*z**5 + 404*z**4/3 - 4724*z**3/3 + 7028*z**2 - 21472*z/3 - 9680/3 = 0.
-1/3, 2, 10, 11
Determine h, given that -20*h**5/3 - 68*h**4 - 100*h**3 + 1148*h**2/3 - 160*h - 48 = 0.
-6, -1/5, 1
Solve -2*s**2 - 476*s - 28322 = 0.
-119
Suppose u**5/5 - 81*u**4/5 + 2184*u**3/5 - 19604*u**2/5 = 0. Calculate u.
0, 26, 29
Factor -3*s**5 + 243*s**4 - 4545*s**3 - 15123*s**2 - 15624*s - 5292.
-3*(s - 42)**2*(s + 1)**3
Factor -3*b**4 + 6*b**3 + 39*b**2 + 30*b.
-3*b*(b - 5)*(b + 1)*(b + 2)
Let x**2/4 - 3*x - 7 = 0. Calculate x.
-2, 14
Factor 2*b**2 + 270*b - 272.
2*(b - 1)*(b + 136)
Factor -v**2/3 - 8*v - 23/3.
-(v + 1)*(v + 23)/3
Factor -3*a**3 + 150*a**2 - 687*a + 540.
-3*(a - 45)*(a - 4)*(a - 1)
Suppose 2*t**5/3 - 43*t**4/3 + 217*t**3/3 + 187*t**2/3 - 121*t = 0. Calculate t.
-3/2, 0, 1, 11
Determine s so that -s**5/4 + 2*s**4 - 25*s**3/4 + 19*s**2/2 - 7*s + 2 = 0.
1, 2
Factor -3*g**2 - 1008*g + 1011.
-3*(g - 1)*(g + 337)
Factor 2*i**2/3 + 428*i/3.
2*i*(i + 214)/3
Suppose m**4 + 10*m**3 + 9*m**2 - 52*m + 32 = 0. Calculate m.
-8, -4, 1
Factor -4*g**2 - 59232*g - 219276864.
-4*(g + 7404)**2
Determine k so that -k**3/2 - 213*k**2/2 + 429*k/2 - 215/2 = 0.
-215, 1
Factor 28*p**3 + 4*p**2.
4*p**2*(7*p + 1)
Determine y so that -3*y**3 - 354*y**2 + 1083*y - 726 = 0.
-121, 1, 2
Suppose 5*n**4/8 + 13*n**3/8 - 51*n**2/8 + 43*n/8 - 5/4 = 0. Calculate n.
-5, 2/5, 1
Let 32*q**5/7 + 40*q**4 + 404*q**3/7 + 68*q**2/7 - 116*q/7 - 4 = 0. What is q?
-7, -1, -1/4, 1/2
Solve 3*c**2 + 7242*c + 4370547 = 0.
-1207
Determine i so that i**4 - 12*i**3 - 14*i**2 + 12*i + 13 = 0.
-1, 1, 13
Factor -w**2/4 - 5*w/4.
-w*(w + 5)/4
Determine g, given that 2*g**4 + 25790*g**3/3 + 12315202*g**2 + 5877085518*g - 11770598948/3 = 0.
-1433, 2/3
Find q, given that 4*q**4/9 + 14*q**3/9 + 2*q**2 + 10*q/9 + 2/9 = 0.
-1, -1/2
Factor 3*i**4 - 6*i**3 - 3*i**2 + 6*i.
3*i*(i - 2)*(i - 1)*(i + 1)
Suppose -49*t**5/4 - 77*t**4/4 + 33*t**3/2 + 13*t**2 + 2*t = 0. What is t?
-2, -2/7, 0, 1
Factor 4*j**4/3 - 124*j**3/3 + 1276*j**2/3 - 1452*j.
4*j*(j - 11)**2*(j - 9)/3
Factor g**5 - 5*g**4 - 9*g**3 + 13*g**2 + 28*g + 12.
(g - 6)*(g - 2)*(g + 1)**3
Suppose k**2/2 + 9*k/2 + 4 = 0. Calculate k.
-8, -1
Determine b so that b**4/5 + 2*b**3/5 - 9*b**2/5 - 18*b/5 = 0.
-3, -2, 0, 3
What is q in -3*q**2 + 3996*q - 1330668 = 0?
666
Factor b**2 - 36*b + 324.
(b - 18)**2
Factor -3*x**3/5 - 18*x**2/5 - 24*x/5.
-3*x*(x + 2)*(x + 4)/5
Find u, given that -u**4 - 4*u**3 - 6*u**2 - 4*u - 1 = 0.
-1
Factor 2*q**5/7 + 320*q**4/7 + 20480*q**3/7 + 655360*q**2/7 + 10485760*q/7 + 67108864/7.
2*(q + 32)**5/7
Find h, given that 5*h**4 + 110*h**3 + 475*h**2 - 110*h - 480 = 0.
-16, -6, -1, 1
Factor y**4/6 + 23*y**3/3 - 205*y**2/6 - 125*y/3.
y*(y - 5)*(y + 1)*(y + 50)/6
Factor g**2/6 + 17*g/6 + 12.
(g + 8)*(g + 9)/6
Solve 3*w**3/5 + 294*w**2/5 + 579*w/5 + 288/5 = 0.
-96, -1
Find k such that 2*k**5 + 9*k**4 + 5*k**3 - 30*k**2 - 52*k - 24 = 0.
-2, -3/2, -1, 2
Factor d**3 - 11*d**2/2 - 7*d/2 + 3.
(d - 6)*(d + 1)*(2*d - 1)/2
Suppose 8*a**5 - 476*a**4 + 1144*a**3 - 220*a**2 - 456*a = 0. Calculate a.
-1/2, 0, 1, 2, 57
Find q, given that 2*q**5 - 8*q**4 - 2*q**3 + 8*q**2 = 0.
-1, 0, 1, 4
Determine h, given that -h**2/4 + 7*h/4 - 5/2 | {
"pile_set_name": "DM Mathematics"
} |
b - c, b - 25 = -4*f for f.
5
Let b = -3 + 3. Let u be b/(1/(1 + -2)). Solve -s - s - 2*n + 4 = u, -n - 2 = 3*s for s.
-2
Let g be ((-2)/12*4)/((-4)/12). Solve i - 19 = -5*o - 5, 3*o - i = g for o.
2
Let r be 1 - (9/(-3) + 4). Solve r = -4*a - 9 + 1, n = -2*a - 7 for n.
-3
Let w be 4/32 + (-46)/(-16). Suppose -w*m = -10*m + 14. Suppose 3*i - l - 17 = 0, -4*i = -3*l - 8 - 18. Solve j = -p + m, 3*p = -i*j - 0*p + 6 for j.
0
Suppose 3*y + h - 2*h - 2 = 0, -h = 5*y + 2. Suppose -2*m + 2 = -2*j, y*j = 2*j - 4. Solve 0 = -3*q - 15, -2*n - m*q = q + 24 for n.
-2
Suppose 3*o + q = 9, 3*q + 13 = o - 0. Solve -u = -3, -5*f - u + o*u - 29 = 0 for f.
-4
Let m(d) = d**2 - 8*d + 7. Let n be m(7). Solve -2*k + l = -15, n = -2*l - 2*l - 20 for k.
5
Let r be (-1 - 2) + 7/1. Solve -5*v = 4*z - 4, -2*z + v = -6*z + r for z.
1
Suppose 0*f = -f + 2. Solve -d - 2*l - 8 = 0, -f*d + 16 = 3*d - 4*l for d.
0
Let q be 4 + (0 - (2 - 4)). Let s = 6 - q. Solve -p + 0*p - 4 = 2*h, s = -p for h.
-2
Let u be 5/(4/(1 + 3)). Let v(l) = -l**2 + 8*l - 8. Let w be v(6). Solve 3*p = -3*y - y - 35, -w*p + 5*y + u = 0 for p.
-5
Let o = 41 + -33. Let h = 8 - 5. Solve 4*p = -v + 16, -v + o = 2*p - h*v for p.
4
Let j = -3 - -8. Suppose r - 3 = -5*k + 3, 2*k = j*r + 24. Solve k*a - 9 = -5*x + 3*a, -x + 5 = 3*a for x.
2
Suppose 0*i = -5*i + 10. Let p be (-1)/4 - 18/(-8). Suppose 0*a + 22 = p*a. Solve i*g + 3*f + a = 0, -f = 4*g - g + 6 for g.
-1
Let f = 6 + -4. Suppose -4*t - 4*i = -4, -3*i + 22 = 4*t - 8*i. Solve -f*u + 11 = -u - 2*q, 2 = -t*u - q for u.
1
Suppose -5 - 7 = -3*p - 3*v, 5*v = p - 10. Suppose p = 5*j - 10. Solve 2*i - 18 = -4*z + i, 3*z - j*i = 21 for z.
5
Let b = 14 + -12. Solve 1 = -4*f + y, b*y - 2 = -5*f - 0*f for f.
0
Suppose 71 = 5*s + 71. Solve x + w + 3*w + 4 = s, 2*x - 5*w - 18 = 0 for x.
4
Let b(i) = i**3 + 7*i**2 + 7*i + 9. Let p(t) = t**3 - 6*t**2 - 6. Let z be p(6). Let n be b(z). Solve -3*h - 24 = -4*j, -4 = j + h - n for j.
3
Suppose -6*z + 3*z + 3 = 0. Solve 4*j = 4*p, 2*p + z + 2 = -j for p.
-1
Let q(o) = 6*o**2 + 3*o - 2. Let x be q(2). Suppose -3*k = -m + x, 0*m - 18 = 2*k - m. Let b be (-1)/(4/k)*8. Solve b = 2*y - 4*l, 0 = 5*y + 5*l + 27 - 2 for y.
0
Let d = -26 - -29. Solve 8*w + 3*v - 37 = d*w, 0 = -5*w - 2*v + 33 for w.
5
Suppose 0 = 3*m - 6 - 0. Suppose s - 2*k - 10 = -m, -2*k + 6 = 0. Let a be 2/7 + 290/s. Solve 5*n + g = -2*g + 30, a = 2*n + 3*g for n.
3
Suppose 4*w - w = 39. Let k be w + (1 + 2 - 0). Solve 2*t = 4*u + 21 - 1, t - k = 4*u for u.
-3
Let c(z) = z**3 - 7*z**2 - 8*z - 9. Let x be c(8). Let d = -5 - x. Let n(o) = -2*o - 3. Let l be n(-2). Solve -3*p = 2*y - 1, d*p = -5*y - l + 7 for y.
2
Let j = 1 + 1. Let l(r) = -r**3 + 2*r**2 + 2*r + 1. Let o be l(j). Let d = o - 2. Solve -2*g + d*u = 17, -5*u + 35 = -3*g - 2*g for g.
-4
Let m = 6 - 1. Let s = 6 + -10. Let q be (-3 - s)/(1 - 0). Solve -q = m*i + 2*w - 10, 3*i - 15 = 2*w for i.
3
Let y(n) = -n**3 - 10*n**2 - n - 8. Let l be y(-10). Solve k + 1 = 3*z, -5*z = l*k + 15 - 2 for k.
-4
Let l be 165/30 - (-1)/(-2). Let g be (4/(-8))/(2/(-12)). Solve g*s - l*z = s - 4, -4*z = 5*s + 10 for s.
-2
Let w(d) = d**2 - 2*d - 4. Let h = -3 + 1. Let p be w(h). Solve -4*v - p*g - 4 = 4, 2*v - 2*g = 4 for v.
0
Let a be (-2)/(-2*(-3)/(-12)). Let f(v) = -v**2 + 2*v + 6. Let b be f(-6). Let o be (b/(-2))/(18/24). Solve 0 = -a*i + 4*u + o, -3*i + u = i - 16 for i.
3
Suppose -q + s = -4*s - 13, 5*s = 4*q - 97. Let t be 5 - (1 + -2)*-2. Solve -q = 4*z + t*p, -2*p = 3*z - 6*z - 4 for z.
-4
Suppose 0 = -65*n + 63*n + 50. Suppose -4 = -2*m + 3*m. Let o be (-1)/4 + (-1)/m. Solve -3*y - n = -5*f - o*y, -3*f - 14 = 4*y for f.
2
Suppose -3*f + 94 = 16. Solve 4*r = -4*w + 3*w - 12, f = -3*r - 5*w for r.
-2
Suppose -4*k - k - 70 = 0. Let c = 21 + k. Let n(u) = -u**2 + 8*u - 3. Let x be n(c). Solve -2*w - 3*f + x = -3*w, -16 = 4*w + 4*f for w.
-4
Suppose -4*w - 73 = -5*a - 7*w, 39 = 3*a + 3*w. Let h = a - 9. Suppose 6*r = r + 20. Solve -2*i = -h, 2*i = r*z + i for z.
1
Let r = 10 + -7. Let b(f) = -f**r + 2 - f + 5*f**2 - 3*f**2 + f. Let n be b(2). Solve 7 = u - n*m, 0 = -2*u + 2*m + 5 + 1 for u.
-1
Let q(y) = y**3 - y**2 - 4*y + 3. Suppose -4*r = -0*r - t - 13, r + 3*t = 0. Let j be q(r). Solve o + 0*o + 4*u = -j, 2*o + 2*u = -6 for o.
-1
Suppose 0 = -2*h + 5 - 1. Let a be 11/(-11)*(0 - 0). Suppose a = -2*r + r + 12. Solve -4*y = 21 - 1, -g + r = -h*y for g.
2
Suppose -36 = -5*w - 4*a, 6*w + 5*a = 3*w + 32. Suppose 0 = -2*j + j + 22. Solve 0*g = -3*x - 2*g + j, -w*x + 1 = -3*g for x.
4
Let d(z) = -z**3 + 5*z**2 - 2*z + 3. Let y be d(3). Let c be (-1)/5 - (-108)/(-10). Let b = -11 - c. Solve 3*m + y = -b*u + 5*u, -4*u - 3*m = -12 for u.
3
Let s be (-21)/6*8/(-1). Let m = -19 + s. Solve 0 = -y - 3*h + m, 3*y + 5*h + 5 - 24 = 0 for y.
3
Suppose 3 = -t + 7. Suppose 0 = 7*l - t*l. Suppose l*y + 8 = 4*y, 5*o = y + 8. Solve -h - 4*x - 11 = x, 3*x + o = 4*h for h.
-1
Let k(u) = -u**3 + 7*u**2 + 2*u - 9. Suppose 0 = -5*d - 25, -5*g + 2*d - 7*d = -10. Let t be k(g). Solve 3*v = f + 4 + 4, -t*f = 2*v - 28 for f.
4
Suppose -24 = -4*i + 4*t, 0*t + 22 = 5*i - 3*t. Let r(s) = 2*s - 2. Let o be r(i). Solve 0 = o*w + 5*a - 5, 0*a + 8 = 2*w + 2*a for w.
5
Let v(m) = 2*m**3 - 2*m**2 - 3*m + 3. Let i be v(2). Solve -2*d - 3*d - 3*z = -13, -29 = -i*d + z for d.
5
Suppose 0*z = 5*z - 70. Solve 5*h + s - z = 0, 3*h - 10 = -h - 2*s for h.
3
Let k be 7 + -4 + -1*9. Let m(f) = -f**3 - 6*f**2 + 4. Let i be m(k). Solve 2*r - g + 5 = 0, r - g + i = 2 for r.
-3
Let d = 7 - 11. Let w be d/(-18) + 25/9. Suppose -2 = 2*g, 15 = -4*f - 5*g + 102. Solve 0 = -3*b + 4*a + f, -b + a = -w*b + 8 for b.
5
Suppose 5*k + 5*n = 30, -8 = -n - n. Suppose -3*p - k*p + 65 = 0. Let b be p + (0 + -1)*1. Solve -2*r - 28 = -4*g, -11 - b = 2*r - 3*g for r.
-4
Let b be (-6 - -7)/((-2)/(-30)). Let j = 11 + b. Solve -g = c + 6, 2*c + c + j = -5*g for c.
-2
Let j(y) = -22*y - 10. Let z(q) = -7*q - 3. Let a(v) = 5*j(v) - 16*z(v). Let x be a(2). Let p = x + 2. Solve -2*s + 3*o + 20 = 0, -5*s + p*o + 24 = 3*o for s.
4
Suppose -6*q + 2*q - 5*y = -7, 4*y - 2 = -2*q. Solve -18 = 5*u - q*a + 14, -5*u = 5*a for u.
-4
Suppose -14*l = -7*l - 21. Solve -o = 2*b - 4 - 2, l*b - 3*o = -9 for b.
1
Let d be 15*-2*(-2)/(-4). Let v be 1/((-9)/d)*6. Solve 4*r + 20 = 4*u, 4*u + 5*r + v = 3*r for u.
0
Let y(r) = 4*r**3 - 1. Let o be y(1). Solve -5*s = 2*n + 17, 3*n + o*s + 3 = -0 for n.
4
Suppose 0 = -2*q + 3*q. Let y(j) = j**3 - 3*j**2 + 3*j - 7. Let k be y(3). Solve q = -k*c + 4*d - 16, -c - 3*d + 6 = -1 for c.
-2
Let z(l) = l**3 - 11*l**2 + 11*l - 4. Let v be z(10). Suppose 4*d - v*d + 8 = 0. Solve -3*n + 22 = -d*o, 0 = 2*o + 3*n - 1 + 3 for o.
-4
Let a = -140 - -140. Solve a = -2*u + 2*n + 8, -n - n - 11 = -5*u for u.
1
Suppose -5*n = 1 + 4. Let x be n*(-3 + -1 + 2). Solve -x = z + 5*g, 2*g = -3*g for z.
-2
Let i(r) = -r**3 - 19*r**2 + 20*r + 2. Let u be i(-20). Solve -2*a - u*t = 18, -28 = 4*a - 2*a + 4*t for a.
-4
Suppose j = -2*j + 6. Suppose 0 = -0*a + a - n - 2, j*a = 5*n + 10. Solve -3*g + 5*s + 12 = a, -5*g + g + s = -16 for g.
4
Suppose 3*z = -0*k - 3*k + 3, -3*z - 5*k - 1 = 0. Let v be -2 + -2 + 1 + 2. Let w be v/1*-1 - -18. Solve -5*n + n - z*c + w = 0, 0 = 3*n + 3*c - 15 for n.
4
Let c = -3 + 6. Suppose n = -c*n. Solve -4*v + 4 = -4*l, -l + n*v = v + 3 for l.
-2
Let o(x) = -x**3 + 6*x**2 - 4*x - 5. Let h be o(5). Let s = -3 - -6. Suppose -k - 8 + h = -u, u = -s*k - 4. Solve -5*l = -u*g + 20, 0 = g + 5*l + 3 - 1 for g.
3
Suppose -i + 7 = w, w + w + 16 = 4*i. Solve s = x - 1, -4*x + 5*s = -i*x + 13 for x.
3
Suppose 6 + 135 = -3*m. Let j be m/(-9) + 4/(-18). Solve 3*f + f + r - 8 = 0, j*f - 25 = -5*r for f.
1
Suppose 2 + 6 = 2*o. Solve -20 = -4*y + o*d, -2*d - 2*d = 2*y + 14 for y.
1
Let h(n) = -n**2 + 12*n - 15. Let v be h(9). Solve 4*c - v = 0, -2*z - 2*c - 15 = -7*c for z.
0
Suppose 3*p = 4*h + 19, -3*p - 4*h = -7 - 4. Suppose 21 = 2*o - 3*w, -p*o = -o - 5*w - 37. Solve o*i = -0*k - 5*k - 7, 0 = -4*i - 2*k for i.
1
Let x(n) = -n**3 - 2*n**2 + n + 6. Let v be x(-3). Solve -2*r + 4 + 0 = -2*w, 3*w + 3*r = v for w.
1
Suppose 0 = -o - 2*c + 17, 0*c + 24 = 2*o + 2*c. Suppose 3*j - o = 8. Solve -h - 22 = j*v, 27 = h - 5*v + 9 for h.
-2
Suppose 0 = 7*h - 10*h + 9. Solve r - 4 = -2*f | {
"pile_set_name": "DM Mathematics"
} |
terms in 5*d**3 + 8*d**3 - 5*d**3 - 13*d**3 - 15*d**3.
-20*d**3
Collect the terms in -196*q**2 + 9 + 1 - 10.
-196*q**2
Collect the terms in 35*b**2 - 16*b + 10 + 16*b.
35*b**2 + 10
Collect the terms in -547110 - 12*j**3 - j**2 + 547110 + j**2.
-12*j**3
Collect the terms in 2892*n**3 - 929*n**3 - 955*n**3 - 920*n**3.
88*n**3
Collect the terms in 293604*c**3 - 282*c - 293612*c**3 + 282*c.
-8*c**3
Collect the terms in -205*g - 207*g - 183*g + 157*g - 61*g.
-499*g
Collect the terms in 36 + 128*y - 36 + 125*y + 122*y - 378*y.
-3*y
Collect the terms in -49*x + 50*x + 7*x - 3*x.
5*x
Collect the terms in -166*p**2 + 25*p - 50*p + 25*p + 2.
-166*p**2 + 2
Collect the terms in -36659*t - 36660*t - 36747*t + 110067*t.
t
Collect the terms in q**2 + 253 + 24 + 311.
q**2 + 588
Collect the terms in 2164*z**3 - 4345*z**3 + 2109*z**3.
-72*z**3
Collect the terms in -97*y**2 - 19 - 26*y**3 - 30*y**2 + 19 + y**3.
-25*y**3 - 127*y**2
Collect the terms in 434411 + 7*c**3 - 434411.
7*c**3
Collect the terms in 28*z**2 - 273 + 33 + 240.
28*z**2
Collect the terms in 11677 + 2*m**2 - 5820 - 5857.
2*m**2
Collect the terms in 9*f + 17355*f**3 + 12*f - 21*f.
17355*f**3
Collect the terms in 9*a**3 - 11*a**3 - 11*a**3 + 8*a**3.
-5*a**3
Collect the terms in -10*c**3 + 34 - 3*c**3 + 11*c**3 - 816.
-2*c**3 - 782
Collect the terms in -11894*y + 6720*y + 5968*y.
794*y
Collect the terms in 765669*t**3 - 382834*t**3 + 33 - 382833*t**3.
2*t**3 + 33
Collect the terms in 102*n + 17*n**2 - 55*n - 47*n.
17*n**2
Collect the terms in 19*b**2 + 19*b**2 + 14*b**2 - 68*b**2 + 17*b**2 + 6.
b**2 + 6
Collect the terms in 528*x**2 + 218*x**2 + 412*x**2 - 405*x**2.
753*x**2
Collect the terms in 454*z + 56 - 917*z + 464*z.
z + 56
Collect the terms in -149 - 159 + 4*p**2 + 466 - 158.
4*p**2
Collect the terms in 16081*p - 2*p**2 + 16080*p - 32161*p.
-2*p**2
Collect the terms in 117*o**3 + 145*o**2 - 41*o**3 + 149*o**2 + 146*o**2 - 435*o**2.
76*o**3 + 5*o**2
Collect the terms in -999*a - 271*a - 1280*a.
-2550*a
Collect the terms in -27*w**2 + 2*w - 2*w - w**2 - 26*w**2.
-54*w**2
Collect the terms in -27*k**2 - 11*k**2 + 0*k**2 - 7*k**2.
-45*k**2
Collect the terms in -7070847*i**2 + 5*i - 5*i + 7070850*i**2.
3*i**2
Collect the terms in -4*l + 3*l + l + 48*l**2 - 2*l**2.
46*l**2
Collect the terms in 184*q**3 + 88*q**3 - 274*q**3.
-2*q**3
Collect the terms in 3 + 1 - 4 - 1868*n**2.
-1868*n**2
Collect the terms in 1636 + 0*x - 547 - 542 - 3*x - 547.
-3*x
Collect the terms in 646*v - 646*v + 1135*v**2.
1135*v**2
Collect the terms in 804*f - 2 + 6 - 3.
804*f + 1
Collect the terms in 28*t - 61*t + 28*t - 2*t + 15*t + 11*t.
19*t
Collect the terms in -3*d**2 - 74492 - 9*d**2 + 74492.
-12*d**2
Collect the terms in 11745*c**2 - 5885*c**2 - 5862*c**2.
-2*c**2
Collect the terms in -46*m**2 + 12*m**2 + 8*m**2 + 9*m**2 + 12*m**2.
-5*m**2
Collect the terms in -8*n**2 - 298*n**3 - 294*n**3 + 606*n**3.
14*n**3 - 8*n**2
Collect the terms in 74 + 220 + 80 - 374 + 12*y.
12*y
Collect the terms in -1304*a**3 + 30 - 1319*a**3 - 30.
-2623*a**3
Collect the terms in -358*m - m**3 + 233*m + 285*m.
-m**3 + 160*m
Collect the terms in 985*u + 180 - 493*u - 491*u.
u + 180
Collect the terms in 124047*z - 2*z**2 - z**3 - 124047*z.
-z**3 - 2*z**2
Collect the terms in -311 + 64*b + 310 - 35*b.
29*b - 1
Collect the terms in 56200*g**2 - 56210*g**2 + 4*g - 4*g.
-10*g**2
Collect the terms in 13*o**3 + 450 - 450 + 487*o**3.
500*o**3
Collect the terms in 2*j**2 + 23 + 17*j - 17*j + 0*j.
2*j**2 + 23
Collect the terms in 8950*d + d**2 - 17891*d + 8941*d - 2*d**2.
-d**2
Collect the terms in 22*l**3 - 47*l**3 + 32*l**3 + 40*l**3.
47*l**3
Collect the terms in 130*g**2 + 9*g**2 + 69*g**2.
208*g**2
Collect the terms in 2819*b + 2313*b + 697*b - 417*b.
5412*b
Collect the terms in -3 + 3 + 4 - 123*s - 4.
-123*s
Collect the terms in 36*h - 6*h**2 + 55*h - 91*h.
-6*h**2
Collect the terms in 1042364354 - 1042364354 + 17*k**2.
17*k**2
Collect the terms in 130 - 3*a - a + 4*a - 8*a + 6*a.
-2*a + 130
Collect the terms in 525 - 115*w - 525 - 98*w.
-213*w
Collect the terms in 17*u + 74*u**3 + 2 - 17*u.
74*u**3 + 2
Collect the terms in -128*a**3 - 142*a**3 + 273*a**3.
3*a**3
Collect the terms in 3*m**2 - m**3 - 2*m**3 + m**2 - 4*m**2.
-3*m**3
Collect the terms in 117*x**2 - x + 101*x**2 + 180*x**2.
398*x**2 - x
Collect the terms in -50457 + 29*j**2 - 7*j**2 + 50457.
22*j**2
Collect the terms in 22 + 8*k**3 - 20*k**3 + 31 - 53.
-12*k**3
Collect the terms in -6 - 35*a**2 - a + 16*a**2 - 21*a**2 - 16.
-40*a**2 - a - 22
Collect the terms in 247*x - 556*x - 13*x**2 + 310*x + 47*x**2.
34*x**2 + x
Collect the terms in 44*r**3 + 246*r**3 + 2602*r**2 - 5204*r**2 + 2602*r**2.
290*r**3
Collect the terms in 4*u**3 - 21097914*u + 21097914*u.
4*u**3
Collect the terms in 2759*i + 2756*i - 10990*i + 2752*i + 2725*i.
2*i
Collect the terms in 68*y**3 - 44*y**3 - 125*y**3 - 70*y**3.
-171*y**3
Collect the terms in -119*w - 540*w + 31*w - 363*w.
-991*w
Collect the terms in 2*r**2 + 128 - 91*r**3 - 2*r**2 - 128.
-91*r**3
Collect the terms in 9*g + 22*g + 5*g - 47*g + g + 15*g.
5*g
Collect the terms in -307255 + 307255 + 197*o**3.
197*o**3
Collect the terms in -3*j**3 + 101903 + 6*j**2 - 203805 - 5*j**2 + 101902.
-3*j**3 + j**2
Collect the terms in -v**3 + 3*v**3 - 4*v**3 + 19*v**3.
17*v**3
Collect the terms in -3*r**3 + 4*r - 4*r + 5*r**3 + 4*r**3 + 5*r.
6*r**3 + 5*r
Collect the terms in 588*t + 546*t - 1143*t.
-9*t
Collect the terms in 44*b**3 - 20*b**3 - 36*b**3.
-12*b**3
Collect the terms in -115 + 43 + 72 + 10*c**2.
10*c**2
Collect the terms in -47*q**3 - 551152 + 551152 + 43*q**3.
-4*q**3
Collect the terms in -30507*s + 15249*s + 15246*s.
-12*s
Collect the terms in -101*g**3 - 111*g**3 + 517*g**3 - 105*g**3 - 109*g**3 - 107*g**3.
-16*g**3
Collect the terms in -26*c + 54*c**3 + 26*c - 67*c**3.
-13*c**3
Collect the terms in 4 - 13 + 20 + 14 - 9*g**2.
-9*g**2 + 25
Collect the terms in 1535*c - 808*c + 356*c + 1390*c.
2473*c
Collect the terms in 16871 - o**2 - 2756*o - 16871 + 2756*o.
-o**2
Collect the terms in 0 + 26*v**2 - 28*v**2 - 3.
-2*v**2 - 3
Collect the terms in 1145*s - 621*s - 501*s.
23*s
Collect the terms in 2519 - 1253 - 1266 + 9*n**2.
9*n**2
Collect the terms in -4 + 1 + 0 - 2 - 6*a**3 - 8*a**3.
-14*a**3 - 5
Collect the terms in -5*u**2 - u**2 + 5*u**2 + 24*u - 4*u**2 + 3*u**2.
-2*u**2 + 24*u
Collect the terms in -40*w + 6*w - 63*w - 4*w + 2.
-101*w + 2
Collect the terms in -313*f + 166*f + 49*f**2 + 151*f.
49*f**2 + 4*f
Collect the terms in -9*x**2 - 15*x - 12*x**2 + 18*x**2 - 4*x**2 + 15*x.
-7*x**2
Collect the terms in -5*v - 896*v**2 + 1792*v**2 - 9*v**3 - 895*v**2.
-9*v**3 + v**2 - 5*v
Collect the terms in -5 + 6 + 0 + 13*x.
13*x + 1
Collect the terms in -18*z**2 - 39820*z + 39820*z.
-18*z**2
Collect the terms in 1 + 802*b**3 + 3*b - 592*b**3 - 3*b.
210*b**3 + 1
Collect the terms in -3 + 843349*c**2 + 3.
843349*c**2
Collect the terms in -5 + 12*s + 17*s + 1 - 3*s.
26*s - 4
Collect the terms in -4255*n**2 + 2122*n**2 + 2127*n**2.
-6*n**2
Collect the terms in -4 - 7422*c**2 - 7423*c**2 + 14837*c**2.
-8*c**2 - 4
Collect the terms in 359*y**2 - 201*y**3 - 741*y**2 + 382*y**2.
-201*y**3
Collect the terms in 111 - 480 + 111 + 148 + 54*m**3 + 110.
54*m**3
Collect the terms in -16025*l**2 + 16039*l**2 - 15 + 15.
14*l**2
Collect the terms in -29*o - 2 + 15*o + 3 + 16*o - 7155*o**2.
-7155*o**2 + 2*o + 1
Collect the terms in -3*m**2 + 6799 - 6805 + m**2.
-2*m**2 - 6
Collect the terms in 533*z + 21*z**3 + 265*z - 252*z - z**3.
20*z**3 + 546*z
Collect the terms in -5*q**2 - q**2 - 409 + 59 + 2*q**2.
-4*q**2 - 350
Collect the terms in -87617*d**3 + 175219*d**3 - 87593*d**3.
9*d**3
Collect the terms in 31 - 91 + 28 + 2*b + 32 - 2*b**3.
-2*b**3 + 2*b
Collect the terms in 381099746 - 381099746 + 8*f**2.
8*f**2
Collect the terms in -12*z - 3539*z**3 + 19*z - 7*z.
-3539*z**3
Collect the terms in 67*x + 51*x - 49*x + 68*x + 141*x.
278*x
Collect the terms in -p + 96222 - 96222 - 129*p**3 + p.
-129*p**3
Collect the terms in 47315951*i - 20*i**3 - 47315951*i.
-20*i**3
Collect the terms in 11 + 13 + 9 + 5*w + 0*w + 0.
5*w + 33
Collect the terms in 3*r**2 - 1922 + 3904 + 0*r**2 - 1982.
3*r**2
Collect the terms in -12*c**2 - 5*c**3 + 17*c**2 - 3*c**2.
-5*c**3 + 2*c**2
Collect the te | {
"pile_set_name": "DM Mathematics"
} |
= 5*r**2 + 2*r - 3. Let i(w) = -11*w**2 - 3*w + 7. Let a(z) = -9*g(z) - 4*i(z). What is a(-7)?
-8
Let f(v) = -v + 1. Suppose -4*g + 125 = g. Suppose 2 = -3*x - g. Let z be 6/9 + 33/x. Calculate f(z).
4
Let m(g) = -g. Let k(y) = -y + 3. Let l(s) = -k(s) + 5*m(s). Determine l(-7).
25
Let v be (-4)/6 + (-25)/(-15). Let q(m) = 6*m + 7 - v - 5*m**2 + 6*m**2. Determine q(-6).
6
Let o(w) be the third derivative of 0*w - w**3 + 0 + 1/4*w**4 - 1/60*w**5 - 3*w**2. Determine o(4).
2
Let k(c) = 2*c + 3. Suppose -3*s - d = 9, -2*s - 8*d + 4*d = 16. Calculate k(s).
-1
Let n(y) be the first derivative of 2*y**3/3 + 1. Suppose 3 + 11 = -7*j. Give n(j).
8
Let a = 15 - 16. Suppose 3*c = -4*z + 29, 8 = 5*z - 3*c - 35. Let m(g) = 3 - 3*g**3 + g**2 - 4 + z*g**3. Calculate m(a).
-5
Let t be 0/3*1/3. Let l(v) = t + 0 + 10*v. Calculate l(-1).
-10
Let g = 6 - 7. Let h(t) = 13*t**2 - t. Determine h(g).
14
Let q(k) = -4 + 6 - k**2 + 1 + 2 + k. Let l be 2/(-4)*(3 - 3). Give q(l).
5
Suppose 8 = -p - 3*z, 5*p = -0*p + 4*z + 36. Let n(q) = 4*q + 0*q + q - 1 - p*q. What is n(-1)?
-2
Let i = -26 + 16. Let h be (i/6)/(6/(-18)). Let l(n) = -n + 4. Determine l(h).
-1
Let y(p) = -p**3 + 7*p**2 + 8*p + 2. Suppose 0*h + 3*w + 17 = 4*h, -4*w - 12 = -4*h. What is y(h)?
2
Suppose 8*j - 5*j - 3*k = 6, 0 = 5*k + 10. Let o(l) = -l**2 - l + 4. Calculate o(j).
4
Let p(v) = -v**3 - 7*v**2 + 7*v - 8. Let y be p(-8). Suppose 0 = 5*j + 3*k - 6, 3*j - k = 3*k + 21. Let x(r) = -r + 3 + 0*r + 2*r**j - r**3 + 0*r. What is x(y)?
3
Let s(u) = u**2 + 5*u + 5. Let w(y) = -2*y**2 - 7*y - 7. Let o(h) = 7*s(h) + 5*w(h). Determine o(1).
-3
Suppose -4*f + 1 - 10 = -3*g, 2*f + 12 = 4*g. Suppose 4*h + g*k = -9, 0*h - 3 = 5*h + k. Let y(u) = 2 + h + 2*u - 2. Calculate y(4).
8
Suppose -5*z + 4*v + 45 = -0*v, -4*z = -2*v - 30. Let q(a) = a**3 - 6*a**2 + 4*a - 3. Give q(z).
-8
Suppose 270 = -9*d + 4*d. Let l be d/(-10) - 2/5. Let r(s) = -s**3 + 5*s**2 - 7. Give r(l).
-7
Let q(k) = -k**2 - 2*k - 2. Let a be (-5)/5 + 3/1. Suppose 2*r - 4 = a. Suppose d + r = -0*d. Calculate q(d).
-5
Let b(k) = -k - 3*k + 5*k - k**2. Suppose 0 = -5*o + x + 10, -4*x - 8 = 3*o + 9. Suppose 4*h - o = a - 0, -3*h - 6 = -3*a. Give b(a).
-6
Suppose 0*r + 4*r = 0. Suppose r = -2*f + 3*f - 1. Let d(t) be the first derivative of t**4/4 - t**2/2 + t - 1. Determine d(f).
1
Let m(v) = 2*v + 1. Let w be 49/14*16/14. Suppose w*h = -17 + 5. Give m(h).
-5
Let u be (-1)/2*2*-1. Let w(v) = -3*v**3 + 4*v**3 - 6*v**2 - u + 6*v - 7*v. Determine w(6).
-7
Let c(i) = 175*i - 352*i + 175*i. What is c(-3)?
6
Let k(l) = l**2 - l - 5. Suppose -3*t - 1 = -f, -2*t - t - 3*f = -3. Let d be 2 + t + 0 + 2. Calculate k(d).
7
Suppose 112*s + 6 = 114*s. Let c(m) = -2*m**2 + 5*m - 4. Determine c(s).
-7
Let a(o) = o**3 - 12*o**2 - 2*o - 5. Let i(v) = -2*v**3 + 25*v**2 + 4*v + 10. Let g(z) = 13*a(z) + 6*i(z). Give g(6).
-17
Let r(i) = i + 2. Suppose 2*l - 2*n - 2 = -0*l, 5*l = 2*n + 14. Suppose -v + l*h = 7, h = -2*v + 2 + 11. Suppose -y + 0 - 1 = -v*c, -1 = y - 2*c. What is r(y)?
1
Let u(x) = -x**2 - 1. Let t(z) = -4*z**2 + 0 + 0*z**2 + z**2 - 2*z + 2. Let n(h) = -t(h) + 2*u(h). Calculate n(3).
11
Let j(u) = -14*u - 29. Let s(m) be the second derivative of 5*m**3/6 + 5*m**2 + 3*m. Let a(b) = -6*j(b) - 17*s(b). Calculate a(3).
1
Let f(d) = -d**3 - 7*d**2 - d - 8. Let y be f(-7). Let c(l) = 6*l**2 - 1. Calculate c(y).
5
Let y(i) be the second derivative of 3*i**5/20 - i**4/4 - 2*i**2 - i. Let m(n) = -13*n**3 + 12*n**2 - n + 16. Let w(r) = 2*m(r) + 9*y(r). Determine w(4).
4
Let f(o) be the third derivative of -o**6/120 + 3*o**5/20 - 3*o**4/8 + 5*o**3/6 + o**2. Suppose -4*t + 273 = 241. Calculate f(t).
-3
Let o(q) = q**3 - 7*q**2 + q - 7. Let h be o(7). Suppose r - 4 + 1 = h. Let f(t) be the third derivative of -t**5/60 + t**4/6 - t**3/3 + t**2. Give f(r).
1
Let j(f) = 3*f**3 - 3*f**2 - 1. Let y(t) = -t**2 + 2 + 7*t**3 + 2*t**2 - 4 - t - 6*t**2. Let d(m) = -5*j(m) + 2*y(m). Determine d(5).
-9
Let j = 3 + -1. Let s(v) = -28*v + v**j - 2 + 28*v. Determine s(-2).
2
Let y(v) = v**2 + 5*v - 1. Suppose 2*r - 2*k - 1 = 1, 2*r - 14 = -2*k. Suppose r*q + 8 = -4*h, q - 5*h = 26 + 2. Let s be (2/q)/(6/(-54)). What is y(s)?
5
Let l(v) be the first derivative of -v**5/20 - v**4/4 + v**3/2 + v**2/2 + 6*v + 1. Let i(n) be the first derivative of l(n). Give i(-4).
5
Let f(m) = 5*m**3 - 18*m**2 - 9*m + 11. Let a(w) = -3*w**3 + 12*w**2 + 6*w - 7. Let j(x) = -8*a(x) - 5*f(x). What is j(-5)?
-9
Let f(y) = -y**2 + 10*y - 4. Suppose -2*h - 14 = -3*u, 4*u - 30 + 6 = 4*h. Let p(z) = z - 1. Let r(x) = h*p(x) + f(x). What is r(5)?
5
Let j = -19 + 21. Let v be (4 - 3) + (-3)/(-1). Let p(y) = -y**3 + 3*y**2 - 2 - v*y**2 + 3. Determine p(j).
-11
Let q = -22 - -47. Suppose 0 = -5*o + n - 0*n + 5, 2*o + 5*n + q = 0. Let h(m) = -18*m - 4 - 16*m + 43*m - 10*m. Calculate h(o).
-4
Let s = 0 - 6. Let k(l) = 5*l - 4. Let h(d) = d - 1. Let i(m) = 9*h(m) - 2*k(m). Give i(s).
5
Let s(l) = -3*l**2 + 7*l - 5. Let x(t) be the third derivative of t**5/60 - t**4/8 + t**3/2 + 5*t**2. Let o(b) = 2*s(b) + 5*x(b). Give o(0).
5
Suppose c = -h + 3, -5*h + 0*c = 2*c - 18. Let d(i) = -7*i**2 - 1. Let a(u) = 6*u**2 - u + 1. Let z(g) = -6*a(g) - 5*d(g). Determine z(h).
7
Let c(s) be the first derivative of 5*s**2/2 + s - 1. Suppose 5*o = 20, -3*o = 4*w - 18 + 2. What is c(w)?
6
Let j(k) = -k**2 - 2*k + 1. Let i(n) = -3*n - 14. Let f be i(-5). What is j(f)?
-2
Let y(x) be the second derivative of -x**6/120 + x**5/30 + x**4/24 + x**3/6 + 5*x**2/2 - 5*x. Let r(s) be the first derivative of y(s). What is r(2)?
3
Let m = 4 - 2. Let k(j) = m + 2*j + j**2 - 1 - 4*j. Calculate k(2).
1
Let x(f) = -3*f + 3. Suppose 4*u + 2*d + 16 = 0, 3*u + 10 = -4*d - 12. Let b = 2 - u. Determine x(b).
-9
Let n(x) be the first derivative of -x**3/3 - 3*x**2/2 - 3. Let u be n(-4). Let y(h) = h + 8. Determine y(u).
4
Let y(m) = m**3 - 5*m**2 + 6*m - 3. Let f = -24 + 35. Suppose 0 = 3*g - 1 - f. Suppose -4*x + 16 = 0, -2*x - 12 = -l - g*x. What is y(l)?
5
Suppose -1 = f - x, 2*x + 2 = -5*f + 25. Let n(j) = -f*j - 4 + j + j + 0*j. Let a(p) = 3*p + 1. Let o be a(-2). What is n(o)?
1
Let c be 6/(-4) - 28/(-8). Suppose -3*z = 3*x - 6, -3*x = -7*z + c*z + 18. Suppose z*d - 2 = d. Let r(a) = -6*a + 1. Determine r(d).
-5
Let s(k) = -2*k**3 - 2*k**2 + 2*k + 6. Let l(d) = 2*d**3 + 2*d**2 - 2*d - 5. Let c(v) = -7*l(v) - 6*s(v). Calculate c(1).
-3
Let m(j) = 5*j**2 - 5*j + 9. Let w(f) = -2*f**2 + 3*f - 4. Let p(k) = 3*m(k) + 7*w(k). Calculate p(-6).
-1
Let z(k) = k**3 + 3*k**2 + 2*k. Let d(y) = 8*y - 3. Let t be d(3). Suppose -3*s - 3 = t. Let h be ((-3)/4)/((-2)/s). Determine z(h).
-6
Let h(c) = -2*c**3 + 4 + 14 - 10 + 12*c**2 + c**3 - 12*c. What is h(11)?
-3
Let p(j) = 3*j + 5. Let q(f) = 7*f + 13. Let a(g) = -5*p(g) + 2*q(g). Calculate a(6).
-5
Let t(r) = -r + 10. Let p = -11 - -11. Determine t(p).
10
Let j be -1*(-4 + 3) - 4. Let c(l) = -6*l**2 - 6*l + 4. Let m(b) = 9*b**2 + 9*b - 6. Let o(y) = -7*c(y) - 5*m(y). Calculate o(j).
-16
Let k = -10 - -5. Let p(c) = c**3 + 13*c**2 + 11*c - 10. Let h(q) = q**3 + 12*q**2 + 10*q - 9. Let u(x) = 7*h(x) - 6*p(x). Give u(k).
2
Let o(n) = n - 1. Let z be o(2). Let g(y) = 1 - 14*y + 15*y + z + y**2. What is g(-3)?
8
Let k(r) = -4 - r + 3*r - 4*r**2 + 8*r**3 - 1. Let j(x) = -15*x**3 + 7*x**2 - 4*x + 9. Let m(n) = -6*j(n) - 11*k(n). Let w = -9 + 8. What is m(w)?
-1
Let c(g) = g**3 - 6*g**2 + 2*g - 4. Let i be 1/4 - 10/40. Suppose i*q - 12 = -2*q. Determine c(q).
8
Let c(a) = -a**3 + 4*a**2 - 5*a + 4. Let x be (-42)/(-28) - (-3)/2. Determine c(x).
-2
Suppose -2*k - 5*i = -k + 13, 4*k - 4*i + 4 = 0. Let b(z) = -z**3 - 2*z**2 + 4*z - 1. Give b(k).
-4
Let r(x) = -x**3 - 2*x**2 - 4*x + 1. Suppose 5*q - 5 = 5*o + 5, 2*q = 4*o + 10. Let p(m) = m**3 + m**2 + 3*m - 1. Let b(j) = o*r(j) - 4*p(j). Give b(2).
1
Let i(j) = j**3 + 3 - 4 - j + 1. Let s(z) = z**3 - z**2 - 2*z + 2. Let a be s(2). Give i(a).
6
Suppose 3 = -i - 1. Let w(a) = 3*a**2 - a**2 - 10 + 3*a + 14 - a**2. Calculate w(i).
8
Let o(i) = i**2 + 5*i - 2. Let j(f) = -5*f + 6 + f**3 + 5*f + 2*f**2 - 10. Let r be j(-2). Give o(r).
-6
Let n = -1 + 4. Let q(h) = 5*h - 9. Let v(s) = -s + 2. Let x(u) = u - 5. Let t be x(-4). Let w(d) = t*v(d) - 2*q(d). Calculate w(n).
-3
Let w(y) | {
"pile_set_name": "DM Mathematics"
} |
1685*c**2 + 2*c**3 - 2 - 3*c**4 - 1686*c**2 + 3375*c**2 as z + j*c**2 + k*c**3 + n*c + i*c**4 and give i.
-3
Rearrange ((w - 3*w + 4*w)*(-5 + 0 - 1) + 5*w + 0*w - 3*w)*(2 - 2 + 2*w)*(16*w + 0 - 4*w - 3) to the form c*w**3 + t*w**2 + q + l*w and give t.
60
Express (-3 + 4 + 1 - j**2)*(-j - 6*j + 12*j)*(357 + 17*j - 177 - 177) in the form y*j**3 + p + a*j**2 + d*j**4 + z*j and give y.
-15
Express -485*a + a**3 + 285*a + 4 + 250*a + 1 in the form m*a**2 + n + h*a**3 + u*a and give m.
0
Rearrange -119 + 163 - 44 + 27445*z to r*z + i and give r.
27445
Express -1181*a - 1185*a + 623*a - 566*a - 778*a as y + l*a and give l.
-3087
Express (44*m**2 - 148*m**2 - 102*m**2 + (0 + 0 - 3*m)*(2*m + 0*m + 0*m))*(11*m - 11*m + 4*m**2) as r*m**4 + u*m**2 + g + x*m + h*m**3 and give r.
-848
Express 3*w + 6 - 3*w**2 - 2*w**2 - 6*w**3 + 0*w**2 - 3*w**2 - 4 as u*w + i*w**2 + x + m*w**3 and give x.
2
Rearrange (5 - 2 - 4)*(3167*p + 3137*p - 4925*p) + (-3*p - 3*p + 4*p)*(0 - 1 - 1) to the form j + n*p and give n.
-1375
Express -417*l - 178*l - 22*l + 27*l - 409*l as p + z*l and give z.
-999
Express ((-3 - 3 + 5)*(-5 + 3 + 3) + 6 - 1 - 1)*(4 - 4 - 2*w) + (449*w + 696*w - 156*w)*(2 + 4 - 5) as s + m*w and give m.
983
Express 3*t**3 + 29*t - 4*t**2 - 36151 + 72304 - 36151 in the form h*t**2 + p + q*t**3 + c*t and give p.
2
Express (-4*g + 3*g + 2*g)*(-5 - 4 + 4) + 154 + 14*g - 154 - 1 + 1 - g + (-2 + 1 + 0)*(-4*g + 0*g + 2*g) + 327 + 56*g - 327 in the form k*g + n and give k.
66
Express -7 - 2835 - 2*p + 3*p + 232 in the form s*p + d and give s.
1
Rearrange (-4 + 2 + 7)*(7 - 7 + b + (1 + 4 - 3)*(-b - 2*b + b))*(-190 - 91 + 400) to w + y*b and give y.
-1785
Express (2*j - 3*j + 2*j)*(3*j**3 - 711*j + 218*j + 515*j) in the form w*j + y*j**2 + v*j**4 + s*j**3 + i and give v.
3
Express (-26*s**2 + 24*s**2 - 25*s**2)*(-12 - 6 + 3)*(5*s + 3*s - 3*s) in the form j*s**2 + m + k*s**3 + q*s and give j.
0
Rearrange 57*g - 20*g - 452*g**2 + 19*g + 473*g**2 to j*g + c + b*g**2 and give b.
21
Express -394*g**2 - 1 + 859*g**2 - 462*g**2 - 25*g as x*g + q*g**2 + f and give x.
-25
Express (-4*p**2 + 4*p**2 + p**3)*(p - 3*p + 0*p) + 41*p**4 + 414*p**3 - 411*p**3 + 81*p**4 in the form z*p**2 + d*p**3 + t*p + h + y*p**4 and give d.
3
Express 2379852 + 35593*i - 2379852 in the form s + j*i and give j.
35593
Rearrange (-81*r + 315 - 315)*(2 - 12 - 5) to the form w*r + f and give w.
1215
Express (-h**2 + 3*h**2 - h**2)*(-36*h + 20*h - 52*h + (1 - 1 - 3*h)*(-1 + 2 + 1) + 2*h + 4 - 4 + 12*h - 5*h + 14*h) as a*h**3 + s*h + u*h**2 + p and give a.
-51
Express 2*i - 3*i - 2*i + (1 + 0 - 3)*(-15 + 13*i + 15) - 6*i - 2 + 10*i - 2*i in the form x + y*i and give y.
-27
Express 2*x**2 + x**2 - 5*x**2 + (4*x - x - 5*x)*(11*x + 12*x - 10*x) + (3*x**2 + 0 + 0)*(1 - 8 + 6) in the form b + o*x + g*x**2 and give g.
-31
Express -2*y**2 - 10*y**3 + 26*y**3 - 12*y**3 + 0*y**3 + 1882*y - 6*y**3 in the form t + i*y**3 + r*y + u*y**2 and give r.
1882
Rearrange (171*t + 1195*t + 229*t + (0 - 4 + 3)*(-4*t + 4 - 4))*(3*t**2 - 4*t**2 + 2*t**2) to b + j*t**2 + d*t + c*t**3 and give c.
1599
Express (-14 + 4*u**2 + 14)*(-12*u + 684*u + 382*u - 48*u)*(4 + 1 - 2)*(5*u - 3*u + 0*u) as q*u**4 + b + j*u**3 + v*u + a*u**2 and give q.
24144
Express 32 - 798*r**2 + 19 + 25 - 76 as o*r**2 + d + b*r and give o.
-798
Rearrange 83 + v + 291*v**2 + 284*v**2 + 283*v**2 + 2*v**3 - 1149*v**2 + 286*v**2 to the form o*v**3 + n + l*v + m*v**2 and give l.
1
Rearrange -14*z**2 + 185*z + 10*z**2 - 294*z**2 - 1 - 184*z to the form x*z + t*z**2 + s and give t.
-298
Express 1 + 3419*p**2 + 2334*p**2 + 4 - 3 - 7228*p**2 in the form z*p**2 + w*p + l and give l.
2
Express (-2*z + 3*z**3 + 2*z)*(z + 2*z - 2*z) + 14165*z + 11*z**4 - 14165*z + 103 in the form d*z + h*z**4 + c*z**3 + o*z**2 + q and give h.
14
Express 0*x + 2*x + 0*x + (0 + 4 - 5)*(x - 2 + 2) + 210*x - 24*x + 298*x as y*x + l and give y.
485
Rearrange (-5*o**3 + 5*o**3 + o**4)*(-93 + 259 + 98 + 347)*(-2 - 4 + 4) to the form s*o + p*o**4 + k*o**2 + m*o**3 + q and give p.
-1222
Express (-28 - 8*j + 28)*(-8 + j + 8 + (-2 - 2 + 6)*(j - 3*j + 0*j) + (-1 + 1 - 2*j)*(-1 - 1 + 4) - 4 + 4 - 4*j) in the form d*j**2 + m + x*j and give m.
0
Rearrange -3*m - 4*m + 130 - 19*m**2 - 132 + 3*m + m to the form v + x*m**2 + h*m and give x.
-19
Express 3*h**3 + 2*h**3 - 2*h**3 + (h**3 - 2 + 2)*(1 + 0 + 2 + (-1 + 1 - 1)*(-1 - 1 + 1) + 180 + 131 - 347 - 1 + 4 - 4) as r*h**3 + q*h + x*h**2 + n and give r.
-30
Express q + 1054 - 564 + 1150 + 793 + 497 as w + c*q and give w.
2930
Express -1 - 1 - 46*j**3 + 8*j**4 + j**2 - 7*j - 10*j - 9*j + 25*j as x*j**3 + i*j**4 + t*j**2 + w + a*j and give i.
8
Rearrange (63*p - 103*p - 341 + 41*p)*(2*p**2 - 7*p**2 + 2*p**2) + (6*p**2 - 4*p**2 - 3*p**2)*(2 - 2 - p) to w*p + v*p**3 + f*p**2 + g and give f.
1023
Rearrange (4*t - t + 0*t)*(6 - 3 - 1) - 159*t - 361 - 90*t + 251*t to z + o*t and give z.
-361
Rearrange 593086*u + 3*u**3 - 296528*u - 9*u**2 - u**4 - 296546*u to the form i*u + y*u**2 + j*u**3 + f + h*u**4 and give i.
12
Rearrange -27*f**2 + 2258 - 4080 + 2039 to the form c*f**2 + i + a*f and give c.
-27
Express (p**2 - 7 + 7)*(50 - 21 + 111 + 156)*(9*p + 5*p - 2*p) as u*p + g + n*p**2 + x*p**3 and give x.
3552
Rearrange 0*b**2 + 221*b**2 + 0*b**2 + (-2 - 2 + 11)*(-2*b**2 + 3 - 3) + 4*b**2 - 2*b**2 + 2*b - 3*b**2 to the form q*b**2 + i + c*b and give q.
206
Rearrange -287 - 6*n**3 + 287 + 979*n - 9*n**3 to the form h*n**3 + o*n + p*n**2 + s and give o.
979
Rearrange -71*p**2 + 9 + 1842*p - 3685*p + 1842*p to the form t + k*p**2 + y*p and give k.
-71
Express (-1 - 3 + 3)*(-m - m + 4*m)*(0 + 0 - 2*m**3)*(-126 + 1893 + 1126)*(1 + 0 - 3) as d*m**3 + h*m**4 + y*m**2 + w + o*m and give h.
-23144
Rearrange (-1773 + 2236 - 6601 - 6029 - 6256)*(-4*f**4 + 2*f**4 - f**4) to p*f**4 + q*f**2 + b + i*f + m*f**3 and give b.
0
Express 329*b - 104*b - 92*b - 118*b - 17*b**2 as d + v*b + r*b**2 and give r.
-17
Rearrange (-3 + 5*o + 3 + (-2 - 1 + 1)*(-113*o - 58*o + 75*o))*(-3 + 4 + 5 + (-6 + 3 + 1)*(3 - 3 - 2) + 1 - 5 + 2) to y*o + t and give y.
1576
Express (-1 + 1 + w)*(-303*w - 4650*w - 2265*w) in the form i*w + u + s*w**2 and give s.
-7218
Rearrange -254*r - 69*r**3 + 68*r**3 + 321*r + 2 to the form k*r**2 + a + f*r**3 + q*r and give a.
2
Express -d**4 - d + 438*d**3 + 23 - 442*d**3 - 5*d**2 - 28 as a + k*d**3 + x*d**2 + m*d + p*d**4 and give m.
-1
Express -45*q**2 - 1374296*q + 1374296*q + (-4*q + 2*q - q)*(q - 4*q + 2*q) as p + x*q + f*q**2 and give f.
-42
Rearrange -24*i**2 + 51*i**2 - 12*i**2 + (103 - 28 - 41)*((-i + 0*i - 4*i)*(-2*i + 2*i - 2*i) + 3*i**2 + 0*i**2 - i**2) to the form l*i**2 + c + j*i and give l.
423
Rearrange (0 + 0 + 2*a)*(3*a - a - a + (11*a - 2*a + 0*a)*(-2 - 6 + 3)) - a**2 + 0*a**2 + 6*a**2 to q*a + h + t*a**2 and give t.
-83
Express -126*c + 187*c - 6 + 70*c**2 - 29 - 61*c in the form z + o*c + i*c**2 and give o.
0
Rearrange 6461*t**2 - 274140 + 274140 + 2*t**3 to m*t**2 + r + x*t**3 + y*t and give r.
0
Rearrange (-3*r**2 + 5*r**2 + 4*r**2)*((-8 - 4 - 18)*(r + 0*r + 2*r) + 2*r - 2*r - 2*r) to y*r + u*r**2 + q + v*r**3 and give v.
-552
Rearrange ((6 - 3 - 4)*(3 + 3 - 4) - 1 + 0 + 0 + (-4 + 1 + 1)*(2 - 1 + 0))*(-4*x + 4*x - x)*(35 - 102 + 31)*(-1 - 1 + 0) to o + i*x and give i.
360
Express (-5 + 4 - 5)*(95 - 9 + 61)*((-1 + 2 + 2)*(1 - p - 1) + 0*p + 2*p - p) in the form g + x*p and give g.
0
Rearrange 9*b**4 - 317*b + 2 + 166*b + 8*b**2 - 9*b**2 - 2*b**4 + 189*b - 2*b**3 to the form o + u*b**2 + x*b**3 + v*b + r*b**4 and give u.
-1
Rearrange 0*a - 5*a**2 - 231*a**3 + 21*a**2 + 34*a**3 - 46*a**3 - a to the form o*a**3 + r*a**2 + b*a + w and give b.
-1
Rearrange (510*b - 36 + 11 + 26)*((-b + 2*b + 0*b)*(3 - 5 - 1) + 5*b + 0*b - b) to the form h + d*b + n*b**2 and give d.
1
Express -f**2 - 41*f**3 + 1051*f - 1630*f + 578*f in the form z*f + k + j*f**3 + x*f**2 and give z.
-1
Express -527*l + 11 + 527*l + 49*l**3 - 24*l**3 + 81*l**3 in the form q*l + r*l**3 + x + g*l**2 and give x.
11
Express 844*x + 1862*x - 288*x + 1164*x in the form r*x + u and give r.
3582
Rearrange 91 + i**2 + 70*i**3 - 67*i**3 - 676 - 3*i**2 + 3*i**2 to the form x*i**3 + y*i**2 + t*i + r and give r.
-585
Express (4*n**3 + 3*n - 4*n**3 + 2*n**3)*(1368 + 17777 + 3765 + 3965) as m*n**3 + | {
"pile_set_name": "DM Mathematics"
} |
g*f + 10 = 14 for f.
-2
Let h be (80/(-60))/(2 - (-12)/(-9)). Let u be (5 - h) + 5 + (-8)/2. Suppose 0 = 3*d - 0*d. Solve d = 4*m + 8 + u for m.
-4
Let u be (528/22)/8 - 28/(-4 - -2). Solve -27*p + u = -91 for p.
4
Suppose n = 5, 22*n = 4*g + 25*n - 107. Solve -g*j + 2 = -21 for j.
1
Let h(k) be the first derivative of -3*k**2 - 3*k + 29. Let y be h(-1). Suppose y*m - 2*m - 2 = -4*w, -2*w = -m + 2. Solve w = -3*z - 1 + 13 for z.
4
Let w = -264 - -278. Suppose -u + 24 = w. Solve 9 = -k + u*k for k.
1
Suppose 5*z - 3*m - 48 = -0*m, -z - m + 16 = 0. Suppose -4*c + 6*a + 101 = 59, -c + 4*a = -28. Solve c = -10*g + z*g for g.
0
Let s(n) = -2*n**2 - 95*n + 706. Let m be s(-54). Let t be (0 + 0)/(0 + -3). Let k(h) = -h**2 + h + 16. Let u be k(t). Solve 0 = m*j + u + 4 for j.
-5
Let u(f) = -f**3 - 20*f**2 + 46*f + 2. Let b be u(-22). Let c be 541/(-7) + (-12)/b. Let a = c - -81. Solve -21 = a*m - 1 for m.
-5
Let d = 29 + -20. Suppose -3*r = 3*c - d, -r + 5*c + 0 = -3. Suppose r*w + a = 13, -a = w - 3 - 4. Solve -2*g = w*g - 15 for g.
3
Let n = -8056 - -8061. Solve -n*o = 32*o + 222 for o.
-6
Suppose 23*y - 159 = -67. Suppose 55 - 67 = -y*m. Solve -4*c + m = -9 for c.
3
Suppose t - 24*j + 30*j = 15, -26 = -3*t + j. Solve -t = -14*p - 23 for p.
-1
Suppose -50*n + 129 = -21. Suppose -3*a - 3*w = -3, -10 = a - 4*w - 26. Solve -u - n*u = -a for u.
1
Suppose -15 = -0*c + 3*c + 3*m, 4*c = m. Let l(t) = 38*t + 42. Let f be l(c). Solve -19 + f = -3*x for x.
5
Suppose -4*y + 3*y + 1145 = 5*g, -687 = -3*g - 3*y. Suppose -26 = -15*d + g. Solve 13 = -6*t - d for t.
-5
Let o be (4 - (-10)/(-5)) + 0 + -3. Let c(n) = -1. Let j(r) = 3*r + 17. Let i(w) = o*j(w) - 4*c(w). Let p be i(-5). Solve -2*l - p + 8 = 0 for l.
3
Let k(w) = w**2 + 136*w + 1614. Let n be k(-13). Solve 20 = -n*r + 95 for r.
5
Suppose 0 = -7*j + 4*j + 417. Let p = j - 137. Solve -p + 0 = -2*m for m.
1
Suppose 10*t + 129 = 139. Let k(w) = 17*w**2 - 3*w + 2. Let s be k(t). Solve -3*r + s - 4 = 0 for r.
4
Let h be (3/(-3))/(2/(-4)). Let p be 1 + (21 - 10 - (4 - -4)). Suppose 0 = -3*o - p*b - 6, -5*o = -4*o - h*b - 8. Solve -2*y = o*y for y.
0
Suppose 3*t + 6 = 2*t. Let n be 4/t*(-3)/(1/(-1)). Let k be 48/9 + n + 8/12. Solve 2*o - 6 = k*o for o.
-3
Let h(k) = 25*k**3 - 71*k**2 + 10*k - 37. Let w be h(3). Solve 2*m = -37 + w for m.
-4
Suppose -17*n + 219 = 32. Solve 0 = -n*a - 38 + 16 for a.
-2
Let w(h) = -h**3 - 3*h**2 + 9*h + 22. Let i(r) = -r**3 + r**2 - r + 2. Let z be i(2). Let c be w(z). Let x = -44 + 50. Solve 2 = -c*k - x for k.
-4
Let o(t) = 3*t. Let i be o(1). Let m(z) = -3*z**3 - 9*z - 10 + z**2 + 2*z**3 - i + 11*z**2. Let u be m(11). Solve 3*j + 3 = u for j.
2
Suppose -4*v - 2*u = -226, -2*v - 6*u + 2*u + 116 = 0. Let y = -49 + v. Suppose d = -j + 2, 3*j + 2 = y*j + d. Solve -3*m - 2*m - 20 = j for m.
-4
Let t(x) = -2*x**3 - 16*x**2 + 2*x - 126. Let q be t(-9). Solve -18 = -9*d + q for d.
4
Suppose -2*r = 5*b - r - 85, b = 3*r + 17. Suppose -25*a = -24*a - 8. Suppose 3*l = -2*j + 14, -3*j + 3*l = -a*j + b. Solve -9 - j = 5*v for v.
-2
Let p(b) = b**3 + 18*b**2 + 17*b + 2. Let v be -11 - 7/(14/(-6)). Let r(n) = -n**2 - 8*n - 17. Let a be r(v). Let j be p(a). Solve 0 = -j*y - 0*y + 8 for y.
4
Let q = 183 - 153. Suppose -20*k + q = -14*k. Solve 0 = -c + 1 - k for c.
-4
Let y be (24/(4 + -8))/(8 + -10). Let s be 2*(-1)/(3 - 1). Let z = 7 + s. Solve -y = -t - z for t.
-3
Let f = 317 - 88. Let c = f - 226. Solve 0 = -c*i - 19 + 25 for i.
2
Suppose -f - 10 = -0*f + 5*w, 4*f - 2*w - 26 = 0. Suppose -95 = f*z + 100. Let o = 42 + z. Solve -5*i - 7 = o for i.
-2
Let u(v) = -19*v - 99. Let m be u(-22). Suppose 10*o + 69 = m. Solve o = -8*z - 7 for z.
-4
Let i(r) = -r**3 - 8*r**2 + 4*r + 5. Let q be i(-7). Let m = q + 76. Suppose a = 3*w + m, -5*w + 6 + 2 = 2*a. Solve -2*u = -w*u for u.
0
Let t(l) = 3*l**3 + 10*l**2 + 2*l. Let z be t(-3). Suppose 5*q = -z*b - 0 + 2, 4*b = -4. Solve -h + 0*h = -q for h.
1
Let q be 6 - (-13 - 5)/(-6). Solve -q*d + 2*d + 13*d = 0 for d.
0
Suppose 2*i - 3 - 7 = 0. Let a(r) = 30*r**2 - r + 1. Let p be a(1). Suppose -10 - p = -4*l. Solve -3*g + l = -i*g for g.
-5
Let v be -5*(6 - 5) + 6. Let p be 4 + (7 - 5)*v. Suppose -4*m = -2 - p. Solve -m*f + 6*f = 12 for f.
3
Suppose 82*a - 22080 = 2*a. Solve -273*i = -a*i + 6 for i.
2
Let w be 215/1290*0/(1/(-1)). Solve w = 22*b - 4*b + 36 for b.
-2
Suppose 103*z = -994 + 994. Let f(r) = 6*r. Let v be f(2). Suppose k = -k + v. Solve z*b - 3*b = -k for b.
2
Let j(v) = 11*v**3 + 56*v**2 - 18*v - 12. Let b be j(-7). Let a = -909 - b. Solve -11*c = -a*c - 4*c for c.
0
Suppose 2*i = -10*j + 5*j - 1040, 4*i + 638 = -3*j. Let m = j - -215. Solve 0 = 5*b - m*b + 16 for b.
4
Let t be (-45)/(-4) + 39/52. Let v = -8 + 5. Let o = 5 + v. Solve -o*b - t = -4 for b.
-4
Let d be 1/20 - (-372453)/6540. Solve -20*n + d*n = -74 for n.
-2
Let w = 4718 + -4016. Solve -715*r = -w*r - 91 for r.
7
Suppose -454 = -5*x - 4*k, 2 = x - 5*k - 112. Solve -40 = 9*z - x for z.
6
Let r be ((1/(-2))/(10/(-220)))/1. Let o be (395/(-35) + r)/((-1)/7). Solve o*y = -2*y + 12 for y.
3
Let o = 277 + -369. Let b = -73 - o. Solve 5*z = 4 - b for z.
-3
Let r(l) = -7*l - 23. Let b be r(-4). Suppose -2*x + b*j + 13 = -15, -2*j + 4 = 3*x. Solve -c = x*c for c.
0
Suppose 3*w + l = 5, 5*l - 3 = 2*w - 6*w. Suppose 629*k = 636*k - 14. Solve 20 = k*i + w*i for i.
5
Let h(r) = r - 10. Let q be h(13). Suppose -q*x + 3*d + 1 = 4, 31 = 4*x + 3*d. Solve x*t - 8 = 2*t for t.
4
Let y(j) = j**3 - 2*j**2 - 3*j + 4. Let d be y(3). Let r(h) = 6*h + 5 - 21*h + 14*h. Let b be r(-10). Solve -b = z + d*z for z.
-3
Let x(d) = -d**3 - 3*d**2 - d - 3. Let r be x(-2). Let k be (r/(-2 + -3))/((-3)/(-9)). Solve -13*c - 30 = -k*c for c.
-3
Suppose -92 = -2*q - 3*x, -4*x = -4*q - 2*x + 184. Suppose q - 54 = -i. Solve 0 = i*w + 14 + 2 for w.
-2
Let g be ((-12)/10)/(1/(-10)). Let a = 126 - 128. Let b be (-2 - 2 - a)/(-1). Solve -g = 5*v - b for v.
-2
Let q be 1/(-1 + 0)*-1. Let a be 2 + q*(2 - 1). Suppose 67 = -10009*c + 10014*c - 3*z, -3*z = c - 53. Solve -a*u - 8 = -c for u.
4
Suppose 5*v = 5*x + 860, -v - 70 = 5*x - 206. Solve v*j = 170*j + 16 for j.
-4
Suppose 3*o + 5*o = 64. Let k(u) = -u**3 + 9*u**2 - 6*u - 16. Let w be k(o). Let b = -36 + 39. Solve -b*h = -w*h + 15 for h.
-5
Let p be 21/(-12)*-2*8. Suppose m = 2*x + p, -2 + 5 = -x - 5*m. Let o = x - -17. Solve -24 = 4*q - o for q.
-5
Let u be ((-84)/4 - -12) + 4. Let i(r) = r**2 + 2*r + 2. Let j be i(-2). Let n be j/(-65)*u - 48/(-26). Solve 4 - n = 2*g for g.
1
Suppose 456 = 151*l - 132*l. Solve 19*z = -l*z + 172 for z.
4
Suppose -428 = -4*m - 4*v, -256 = -2*m + 5*v - 56. Solve 0 = -12*k - 3*k - m for k.
-7
Let d be 2/(-10) - (75 + -92)/(5/3). Solve 12*n = 2 + d for n.
1
Suppose 1 + 2 = x. Let r be 2/7*(1 - (-55)/22). Suppose x*z + 0*z = h - r, 4*z + h - 1 = 0. Solve z = -s + 2*s - 2 for s.
2
Let s = 47 - 47. Suppose -o - 14 = -3*a - s, 5*a + 4*o - 12 = 0. Solve -a*f = 3*f for f.
0
Let k(r) = -r**3 + 10*r**2 + 25*r - 27. Let i be k(13). Let m be 22/i + ((-287)/(-19) - -1). Solve m + 4 = -4*l for l.
-5
Suppose -3*q - 4*b - 7 = 0, 5*q - 7 = -b - 13. Let l be (36/(-108))/(q/18). Solve l*i = 2*i + 20 for i.
5
Let f(i) be the second derivative of -10*i**3/3 - 93*i**2 + 13*i + 7. Let u be f(-10). Solve -u + 18 = 2*p for p.
2
Let k(m) = -16*m**2 - 4*m - 1. Let x be k(-2). Let f = -52 - x. Solve f*g + 1 = -9 for g.
-2
Suppose -10113 - 37432 = -257*d. Solve 9*a + 28*a = d for a.
5
Let g(d) be the third derivative of -5*d**4/24 + 13*d**3/2 + 43*d**2. Let b be g(7). Solve -b = x - 1 for x.
-3
Let m = 18763 - 18763. Solve -6*d + 17*d - 44 = m for d.
4
Let l(q) = 2*q**3 - 12*q**2 + 106*q - 739. Let f be l(8). Solve 386*d + 105 = f*d for d.
-5
Suppose 2*w + 56 = 3*o - 61, -4*o - 2*w + 156 = 0. Solve -32*b + o*b - 21 = 0 for b.
3
Let x(g) = -g**2 + 292. Let y be x(17). Solve 0 = y*t + 5 - 11 for t.
2
Let u be (-10 - 0)*(-905 - -896). Solve -74*n - 48 = -u*n for n.
3
Let w(g) = g - 8. Let x = 35 - 22. Let n be w(x). Suppose 2*r - 4*o = 18, n*r - 3*o + 4*o = 12. Solve -j - 8 = r*j for j.
-2
Let w be (-6)/(-10) + (-56)/(-40). Suppose w*i - d = -3*d, -4*d - 27 = -5*i. Suppose 2*a - 4*p - 4 + 2 = 0, 24 = i*a + p. Solve -5*u + a = 2 for u.
1
Let u(m) = 2*m + 16 + 5 - 6 - | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((d/d**(2/3))/d*d)**3 assuming d is positive.
d
Simplify ((r**2*r)**(-4/3))**(-47) assuming r is positive.
r**188
Simplify (m*m*m**2)/(m**(-1/12)/m*m*m)*(m**(-1/4)/m)**(-8/15) assuming m is positive.
m**(15/4)
Simplify (d**6/(((d/d**(3/7))/d)/d))**45 assuming d is positive.
d**(2340/7)
Simplify a**(-1/11)*a*a/a**(-2/15)*a assuming a is positive.
a**(502/165)
Simplify ((g*g**(-13/4)/g)/g)**(-13) assuming g is positive.
g**(221/4)
Simplify (z*z**(-3/14)*z*z)**(-3/34) assuming z is positive.
z**(-117/476)
Simplify (x*x**5*x)/(x/((((x**1/x)/x)/x*x*x*x)/x)*x)*x**(2/3)*x/((x*x/x**1)/x) assuming x is positive.
x**(20/3)
Simplify (q**(-3/11))**(13/7) assuming q is positive.
q**(-39/77)
Simplify (p**(-1))**(-50) assuming p is positive.
p**50
Simplify f*f/(f*f**6)*f*f*f/(f**(2/29)/f)*f assuming f is positive.
f**(-2/29)
Simplify (v*v**(-4))/v*v*v**(3/5)*(v**(2/3)/v*v)/(v/(v**(-2)*v)) assuming v is positive.
v**(-56/15)
Simplify (a**(1/4))**(-2/41)*(a/(a/(a*(a**(3/5)/a)/a)))/(a*(a*a/(a/(a/a**5*a)*a))/a) assuming a is positive.
a**(1061/410)
Simplify n**(-12/11)*n*n*n**(-11) assuming n is positive.
n**(-111/11)
Simplify (w**(-2/5)*w)**(-39)*(w**(2/5))**(1/18) assuming w is positive.
w**(-1052/45)
Simplify (y*y/(y*y**(-5/3))*y*y*y*y**(2/15)/y*y)/(((y*(y/(y/(y/(y**6*y)))*y)/y*y)/y)/(((y/(y*y*y**(-6/7)*y*y)*y)/y)/y*y)) assuming y is positive.
y**(303/35)
Simplify (m**35*m)/m**(-3/13) assuming m is positive.
m**(471/13)
Simplify v**(3/11)*v**(-12/11) assuming v is positive.
v**(-9/11)
Simplify (j**(2/9)*j**(-1)/j)/((j**(-3/7)/j)/(j*j/j**(-2/11))) assuming j is positive.
j**(1270/693)
Simplify (h/(h*h*h*h**2))**7 assuming h is positive.
h**(-28)
Simplify (k/((k**(1/27)/k)/k))/k**7 assuming k is positive.
k**(-109/27)
Simplify ((i*i/((i**9/i)/i*i*i))/i*(i*i/(i/(i**(-1/15)/i*i)))/i)**(-17) assuming i is positive.
i**(2057/15)
Simplify (b**(2/3))**(-3/2) assuming b is positive.
1/b
Simplify ((i/(((i**(2/11)/i)/i)/i))/i**6)**(4/9) assuming i is positive.
i**(-32/33)
Simplify d**(-5/2)/d**(-19) assuming d is positive.
d**(33/2)
Simplify k/k**1*k*k/(k/((k/k**0)/k*k))*(((k/k**(1/4))/k*k)/k)**9 assuming k is positive.
k**(-1/4)
Simplify (r/((r**2*r)/r))**(-16)*((r**(3/8)/r*r)/r)/(r/r**(-3/11)) assuming r is positive.
r**(1241/88)
Simplify l**(2/17)/l*l/((l*(l/l**(3/7))/l)/l)*l*l*l*(l/l**(-4/5))/l*l*l**(1/12)*l assuming l is positive.
l**(45907/7140)
Simplify (i**(-13))**(6/17) assuming i is positive.
i**(-78/17)
Simplify (w*w**(-1)/w)/w*(w/w**(1/11))/w assuming w is positive.
w**(-23/11)
Simplify c/c**(-1/4)*c*c**(-2/21)*c*(c/c**3)/(c**(-6)/c) assuming c is positive.
c**(685/84)
Simplify (h*h**8)**(-2/117) assuming h is positive.
h**(-2/13)
Simplify (g/(g/(g**3*g)))**13/((g/((g**8*g*g*g)/g))/(g/(g**(-1/10)/g*g*g))) assuming g is positive.
g**(611/10)
Simplify ((i*i*i/(i**(-1/9)/i)*i)/i**(-4))/(i**0/i)**(-10) assuming i is positive.
i**(-8/9)
Simplify ((j*j**10*j*j)/(j**7*j))/(j*(j**2/j)/j*j*j)**(-3/35) assuming j is positive.
j**(184/35)
Simplify (z**8/z*z**(-8/3))**37 assuming z is positive.
z**(481/3)
Simplify ((g**(-1)/g)**(2/9))**(10/19) assuming g is positive.
g**(-40/171)
Simplify (g*(g/(g/g**7))/g*g)/g**2 assuming g is positive.
g**6
Simplify ((j*j/(j/(j*(j**(-1/3)/j)/j)))/j)**(-37)/((j*j*j**(1/5)*j)/j**(-3)) assuming j is positive.
j**(647/15)
Simplify ((((i/i**(2/9))/i*i)/i)/i**(1/9))**14 assuming i is positive.
i**(-14/3)
Simplify (g/g**3*(g**(-1/6)/g)/g*g)/((g**(-7)/g)/(g/(((g**6/g)/g)/g))) assuming g is positive.
g**(17/6)
Simplify o**6/o*o*o*o*(o*(o/(o/(o**8/o))*o)/o)/o*o*((o*o/o**(1/4))/o)/o*o**8 assuming o is positive.
o**(95/4)
Simplify (t**6/t**(-1/4))**(-14) assuming t is positive.
t**(-175/2)
Simplify h**(5/4)/(h/(((((h**(-4)*h)/h)/h*h)/h)/h))*(h/h**(-2))/(h/(h*h/((h/(h*h**5*h)*h)/h))) assuming h is positive.
h**(17/4)
Simplify j**(-1/7)/j*j/j**(2/15)*j**(-4)/j**0 assuming j is positive.
j**(-449/105)
Simplify (k*k**(-2)*k)**(-17) assuming k is positive.
1
Simplify (c*c*c**0/c*c)/c*(c*c**0/c*c*c)/c assuming c is positive.
c**2
Simplify (s*s/s**(-1))**(6/5)*(((s**1*s)/s)/s)**(-7/2) assuming s is positive.
s**(18/5)
Simplify ((q**(1/9)/q)/q*q*q/q**(-12))**(3/23) assuming q is positive.
q**(109/69)
Simplify (u**7*u)**(-2/5) assuming u is positive.
u**(-16/5)
Simplify k**5/(k/(k**(-5/4)/k))*(k**(-1/10)/k)/k**5 assuming k is positive.
k**(-87/20)
Simplify (k*k*k**(-13)*k*(k/k**(-3))/k)**(-4/33) assuming k is positive.
k**(28/33)
Simplify (o**15)**(-13) assuming o is positive.
o**(-195)
Simplify ((l/l**(2/5))/l)**36*l**(-2/29)/(l**(-4)/l) assuming l is positive.
l**(-1373/145)
Simplify (o/(o/((o/(o/o**(-1)))/o*o)))**(1/6) assuming o is positive.
o**(-1/6)
Simplify r**3*((r**(-2/33)*r)/r)/r assuming r is positive.
r**(64/33)
Simplify ((x*x**7)/x)/x*x*x/x**(-5)*(x*x/x**(2/9))**(-41) assuming x is positive.
x**(-539/9)
Simplify ((y**8*y)/(y/((y/(y**(7/3)*y))/y*y)))/(y/((y*(y/(y/(y*y/(y**(2/3)/y))))/y*y)/y*y))**(2/91) assuming y is positive.
y**(223/39)
Simplify q/q**(-1/10)*q/q**(1/2)*q assuming q is positive.
q**(13/5)
Simplify (i**0)**(26/3)*(i/(i/(i/((((i/(i**0*i))/i)/i)/i))))**(2/15) assuming i is positive.
i**(8/15)
Simplify (f**(2/7)/(f*f**8))**(-6) assuming f is positive.
f**(366/7)
Simplify (d/(d*d/(d*(d**(2/23)/d)/d))*d)**(-2/143) assuming d is positive.
d**(42/3289)
Simplify (l*l**(13/3))/l*l*l**(-2/17) assuming l is positive.
l**(266/51)
Simplify v*v*v/(v*((v/(v**(-2/29)/v*v*v*v))/v)/v)*v**(4/5)*(v**(-1/2)*v)**(3/34) assuming v is positive.
v**(56943/9860)
Simplify (f*f/(f**(-1/6)*f*f*f*f))**(-23) assuming f is positive.
f**(253/6)
Simplify (p*p*p**(-5/6))**(-11) assuming p is positive.
p**(-77/6)
Simplify ((t*t**(-3))/((t*(t**(-6)/t)/t*t)/t))**(-1/28) assuming t is positive.
t**(-5/28)
Simplify (r*r**(3/8))/(r**4/r*r*r) assuming r is positive.
r**(-29/8)
Simplify (l**2*l)/(l/(l*l/(l*l**(-2/13))))*(l**(1/6)*l*l)**(-5/2) assuming l is positive.
l**(-353/156)
Simplify (((o*o/(o**(-1/4)*o))/o)**(5/6))**11 assuming o is positive.
o**(55/24)
Simplify ((v*v*v**(-1/5)*v)/v)**(1/2) assuming v is positive.
v**(9/10)
Simplify ((q**(-2/5))**(-1/3))**25 assuming q is positive.
q**(10/3)
Simplify ((m**(-2/17)*m)/m*m)/((m*m/(m/((m**(-2)*m)/m))*m)/m)*m**8/((m**(2/9)/m)/m) assuming m is positive.
m**(1784/153)
Simplify (q**(-1)*q**(-2/11))/(q**2/q)**37 assuming q is positive.
q**(-420/11)
Simplify ((o*o*(o/(o**(-3)*o))/o)**(5/11))**15 assuming o is positive.
o**(300/11)
Simplify (v**(-3/8)*v**(1/5))**(-2/75) assuming v is positive.
v**(7/1500)
Simplify ((o/o**0)/o*o)**(-4/29)*o*o**(-2)*o**11 assuming o is positive.
o**(286/29)
Simplify p*p**(3/2)/p*p**(-1/3)*(p/(p**(-2/5)*p))**40 assuming p is positive.
p**(103/6)
Simplify g**2/(g*g**3*g*g)*g**9*g**(4/7) assuming g is positive.
g**(39/7)
Simplify (l**(6/11)/l)/(l/l**(3/8)*l)*l/(l**(-1)*l*l)*l*l**(-6) assuming l is positive.
l**(-623/88)
Simplify ((x*x**(-2/9))**(-12))**(-26) assuming x is positive.
x**(728/3)
Simplify (g**16)**(2/97) assuming g is positive.
g**(32/97)
Simplify (l**(-4)*l**(4/5))/(l/(l/l**0))**8 assuming l is positive.
l**(-16/5)
Simplify (w**(-3)*w**(1/5)*w)/(w**(2/3)/((w/(((w/w**(-6))/w)/w))/w*w)) assuming w is positive.
w**(-97/15)
Simplify (w*w**(-3/5)/w*w*w*w**18)**50 assuming w is positive.
w**970
Simplify (i**4)**(-4/15) assuming i is positive.
i**(-16/15)
Simplify (((t/(t*(t/(t/(t*t*t**(2/3)))*t)/t))/t)/t)**(-1/10)*(t**1*t)**(5/3) assuming t is positive.
t**(19/5)
Simplify t**(-1)/(t*t*(t**(-4)*t*t)/t*t)*(t**(2/7))**(-8) assuming t is positive.
t**(-23/7)
Simplify ((d*d**(2/3))**(-5/2))**(-6/19) assuming d is positive.
d**(25/19)
Simplify ((h*h/(h**(-6)*h))/h**(6/17))**(2/35) assuming h is positive.
h**(226/595)
Simplify (z**(-3/8)/z**(3/5))**(-10) assuming z is positive.
z**(39/4)
Simplify (a*(a/a**11)/a*a)/(a/(a**(-1/11)*a)) assuming a is positive.
a**(-100/11)
Simplify (((q/q**(-3/7))/q*q)/q**(1/3))**(-2/27) assuming q is positive.
q**(-46/567)
Simplify k**7*k**(2/7)*k*k*k*((k**(-3)/k)/k)/k*k/((k**(-6)*k)/k) assuming k is positive.
k**(79/7)
Simplify (z**(-3)*z**(-10))/((z*z**(1/4))/z)**15 assuming z is positive.
z**(-67/4)
Simplify v*v*v/(v*v**(2/7))*v/v**(-1/2)*v*v**(-1/7)/v*v*v**(10/3) assuming v is positive.
v**(311/42)
Simplify (b**1)**15*b**1*b*b*b/b**(-4) assuming b | {
"pile_set_name": "DM Mathematics"
} |
3 for g.
0
Let h(x) = 4*x - 1. Let s be h(1). Solve 0*u - u - 4*w = 9, 4*w = -3*u - s for u.
3
Let a(k) = k**3 + 5*k**2 - 8*k - 9. Let r be a(-6). Suppose -5*p = 0, -3*p + 8 = m + r. Solve 0 = 5*f + 3*n + 26, -m*f + 0*n - 28 = 4*n for f.
-4
Let l = 15 + -12. Solve 8 = -2*f - l*s, -3*s + 4 = -2*f - 5*s for f.
2
Let y be -8*(1 - (-33)/(-12)). Suppose 2*u - 4 = -y. Let w = u - -8. Solve w*x = -4*o - 6, 5*o + 15 = 5*x - 10 for o.
-3
Let s(c) = -c**3 - 2*c**2 + 2*c. Let i be s(-3). Let g = -13 - -20. Solve 4*m - 2*l + g = -i, 3*l = 3 for m.
-2
Suppose -11 = -4*c + 65. Suppose 5*l = 6 + c. Solve -l*u = 5, 5*d + 4*u = -24 + 5 for d.
-3
Let q be (-9)/4 + 2 - 261/(-36). Solve 0 = -2*i + 3*y + 3, -2*y - q = -0*i - 3*i for i.
3
Let r(m) = m**2 - m + 2. Let x be r(3). Let n(f) = f**3 - 7*f**2 - 7*f - 4. Let k be n(x). Solve 2*p + k*h - h + 3 = 0, 4*p = h + 15 for p.
3
Let r(l) = 2*l - 1. Let y be r(3). Solve -2*n - 6 = -y*n - 3*d, -5*d = -n - 28 for n.
-3
Let w = -2 + 5. Let n be (-8)/(-6) + 4/6. Let t(q) = 2*q**2 + 2. Let g be t(n). Solve g = 2*j, w*j - 40 = 5*p - j for p.
-4
Suppose -2*o + 0 + 8 = 0. Suppose 27 = -o*g - 13. Let m be 2/g - (-52)/10. Solve 2*p = -t - 10, -p - 3*t = -8*t + m for p.
-5
Let r be (4 - 3)/(2/(-6)). Let y = r - -4. Let g be 1 - (-2)/(1 - 0). Solve -4*b + g = 3*t - b, -4*t - 3*b - y = 0 for t.
-4
Let t(q) = -q**2 - 7*q - 7. Let h be t(-5). Let a = h + -3. Suppose k - 10 = 4*g, 5*k - 2*g - 18 - 14 = a. Solve 5*v - k = b + 3*v, 0 = -4*b - 3*v - 2 for b.
-2
Let g = -6 + 6. Solve g = 5*b - 0*n - 4*n - 40, 4*b - 11 = -n for b.
4
Let i(z) = 3*z + 2. Let x = -11 - -11. Let r be i(x). Solve -9 = 5*t + r*h, -2*t - 6 = -4*h + 12 for t.
-3
Let i be 1 - (14 + -16 - (0 + 1)). Solve -4*r - 4*z = i, 4*r - 21 = 5*r - 4*z for r.
-5
Suppose -x + 4*f = -2 + 11, 4*x = f + 9. Solve 4*m - 5*v = -2*v + 11, x = -3*v for m.
2
Let m(i) = -i**2 + 16*i - 23. Let n be m(14). Solve -3*y - 12 = 5*g, n*y + 3 = -4*g - 17 for y.
-4
Let i be 4 - -5*2/(-5). Solve -5*n = -3*d + 5*d + 30, 2 = -3*n + i*d for n.
-4
Let a(h) = h**3 - 4*h**2 + 5. Let u = -4 + 8. Let m be a(u). Suppose -3*w = -2*g - 8, 0*g = m*w + 2*g + 8. Solve 4*x = 4*q + 12, -4*x = 5*q - w*q - 30 for x.
5
Suppose -2*d + 4*u + 8 = 0, 3*d + 5*u - 2*u + 6 = 0. Suppose d*p - 2 = -p. Solve p*f + 3*t + 2 = 0, 20 = 3*f - 5*t - 15 for f.
5
Suppose -3*n = -3*y + 2*n - 5, 0 = 4*y + 2*n - 28. Let u = 0 - -1. Let g = y - u. Solve l + 4 = 4*t, 2*l - 8 = g*t - 2*l for t.
2
Let l(k) = -k**2 + 3*k - 2. Let g be l(2). Let a be -2 + 9 - (4 + -1). Let q be 0/(2/a*-2). Solve 5*y = p - 12, q = 2*y - 3*p - g*p - 3 for y.
-3
Let o(g) = g - 13. Let u be o(13). Let q = 0 - u. Solve -4*h - h = 15, 3*p - 3*h - 12 = q for p.
1
Let m(x) = x**3 - 7*x**2 - 10*x + 1. Let q be m(8). Let j be (-1 + -1)*q/10. Solve 12 = -4*y - 8, -j*c = 2*y - 5 for c.
5
Let g = 5 - -21. Suppose d - 5*j + 12 = 0, -d - 8 + g = 5*j. Solve 4*u - 3 = -d*m, -3*u - m + 3*m = 19 for u.
-3
Suppose 18 = 3*l - p - 2*p, 3*p + 8 = -2*l. Suppose 0 = -m + 4*i + 16, 2*i - 6*i = -2*m + 16. Solve 0 = -4*w - b - 17, 3*w = l*b - m*b + 1 for w.
-3
Let c be (0 + -9)*1/3. Let i be 6/c + 1 - -3. Solve v + 2*z = -2*z, 5*v = i*z for v.
0
Let y(a) = a**3 + 6*a**2 - 7*a - 4. Let n be y(-7). Suppose -4*d = 26 + 10. Let q = n - d. Solve 3*i - 1 = 2*j, -4*j - 24 - q = 3*i for j.
-5
Suppose 20*m - 16*m = 12. Solve -p = -m*z + z + 1, -2*p - 5*z - 2 = 0 for p.
-1
Let k be (12/(-9))/((-1)/30). Solve 5*d + w = -4*w - k, -32 = 5*d + 3*w for d.
-4
Let t = -4 - -7. Let d(s) = s + 3. Let i be d(-5). Let f be 34/10 - i/(-5). Solve 0 = -k + t*v - 12, -f*v = -6*k + k - 24 for k.
-3
Suppose -5*p - 7 = -32. Suppose -p*z = -z. Solve -h - 2 = -2*j, 2*h - j + z + 4 = 0 for h.
-2
Suppose 3*g = 3*w, -2*w + 2*g = -4*w. Solve 2*r - 10 = -2*f, -3*r + 8*r - 15 = w for f.
2
Suppose 4*j + j = 5, -3*j = -5*h - 3. Suppose -2*a + 16 + 8 = h. Solve 4*v = a, -3*m + 5*v = m + 11 for m.
1
Let v(j) = -j**3 - 14*j**2 - j - 7. Let l be v(-14). Solve -l*k = p - 2*k - 20, 4*k - 37 = -5*p for p.
5
Let l be (-1)/(4/(-16)) - -1. Suppose -3*p = -4*w + 40, -p + 3*p - 34 = -2*w. Solve 2*s = -l*j + 1 + w, 4*j = -s + 10 for j.
2
Suppose 0 = 4*f - 11 + 3. Suppose 3*u = -3*b + 30, -u - 2*b + f = -3*b. Solve -2*n - 17 + u = -a, 4*n + 7 = -a for n.
-3
Let x = -8 + 4. Let a be (-8)/(5/(10/x)). Solve 2*k + a*j - 5 = k, 5*j = 4*k + 1 for k.
1
Let w = 4 - 1. Let y be 0 - (-1 + 2 + -4). Solve -w*k + g + 2 = 0, 4*k + 2*g + 10 = -y*g for k.
0
Let y be 2 + (-4)/(-16)*4. Solve 12 = -3*z - y*q, -4*q - 6 = -z + 10 for z.
0
Let j(k) = k**2 - 5*k - 7. Let w(u) = u + 1. Let g(t) = j(t) + 5*w(t). Let v be g(5). Solve -4*a + 5*h - 21 = 10, 5*a - h + v = 0 for a.
-4
Suppose -3*w + 26 = -w + 4*o, 2 = -2*o. Let k be 22/(-11)*(0 - 1). Solve 3*t - 12 = -3*n, -7*t - w = -2*t - k*n for t.
-1
Let t = 96 + -94. Solve t*a = -5*f + 1, 0 = -2*f - 2*f - 2*a for f.
1
Let w(l) be the second derivative of l**4/12 + 4*l**3/3 + 3*l**2/2 - l. Let r be w(-8). Solve 3*u - 7 = -5*p, -r*u = u + p - 15 for u.
4
Suppose -2*s - c + 2*c = 15, -2*s - 5*c = -15. Suppose 5*k = 5*i + 35, 0*k - i = -5*k + 35. Let r = s + k. Solve 3*w = r*g - 19, 4*w + 0*g = 4*g - 28 for w.
-5
Let g(p) = 41*p**2 + p. Let x be g(-1). Let b = -26 + x. Let r = 9 - -4. Solve -2*h - 5*f + b = -r, -f = -3*h - 2 for h.
1
Let f = -9 - -12. Let j be f/(-15) - 78/(-15). Solve y - 5*q - 20 = -0*y, -j*y + 2*q = 15 for y.
-5
Let k be 8/(-12)*(-11 + -1). Let y be (-23)/(-2) + 4/k. Let r be (-16)/(-6) + 4/y. Solve -r*c - 20 = -4*m, 2*c + 2*m = -3*m + 2 for c.
-4
Let g be 1 - (2 + -1 - 1). Let v(o) = o**2 + 2*o. Let h be v(-2). Let l be 0/(h/3 - g). Solve -2*i = l, 0 = 2*m - 0*i - 3*i + 4 for m.
-2
Suppose 4*w + 1 = -5*s - 6, -3*w - 6 = 3*s. Let j be -7*((-6)/7)/s. Let d be ((-5)/(-15))/((-2)/(-12)). Solve 2*y - d*g + j = y, -y + 3*g = 10 for y.
2
Let a be -10*(2 - 4/(-10)). Let k = a + 35. Solve 4*p - k = 3*s, -2*p = 2*p + 4 for s.
-5
Let o = 28 - 22. Solve -t = 5*z - 22, 3*z - o = t + 4 for z.
4
Let x = -2 + 2. Suppose -3*p - n + 2 = -2, 4*p + 2 = -5*n. Suppose -3*m = -p*m - 2. Solve m*u + 13 + 3 = -4*k, u - 3*k - 17 = x for u.
2
Let k be (7 - (1 - 0)) + 5 + -5. Solve 2*z = 4*f - 32 + k, 0 = 3*z + 2*f + 7 for z.
-5
Let w(g) = -5*g + 13. Let v(s) = 11*s - 26. Let h(a) = 4*v(a) + 9*w(a). Let q be h(8). Solve -q*b + d + d = 19, -3*b + 5*d = 19 for b.
-3
Let h be (-50)/(-15)*(-3)/(-2). Suppose -2*s + 27 = 2*s + 3*j, -3*j = -15. Let u be (h - s) + 0 + 0. Solve -u*z - 5*x = -0*z + 8, -4*z = -5*x + 16 for z.
-4
Suppose 2*a = -x + 32, 3*x - 6*x - 12 = 0. Let p be (a/15)/(9/60). Let k = p - 5. Solve -3*y = -0*b + b + 11, -4*y + 7 = -k*b for b.
-5
Suppose -5*w = -3*k - 11 - 0, -32 = -4*k - 5*w. Solve 2*v + 4*x = -2, -k*x = 2*v + v for v.
1
Let x = 28 - 17. Let m be 46/x - (-10)/(-55). Suppose m*c + 24 = 4*t, -t + 4*c + 15 = -3. Solve -t*u - 26 + 7 = 3*p, 0 = -u + 5*p + 23 for u.
-2
Let b = -14 + 21. Suppose -b*n + 13 = -1. Solve n*d - 5*d = -i, -i - 2*d = -5 for i.
3
Let s(j) = -j**2 + 5*j + 17. Let m be s(7). Solve 3*n = -m*c - 5 - 7, n = -5*c - 4 for c.
0
Suppose -2*g + 536 = f, 3*g - 206 = f + 608. Let m be ((-26)/(-3))/(12/g). Let h be (-1)/4 - m/(-12). Solve -2*v + h = -4*z, 23 = -2*v - 5*z - 6 for v.
-2
Suppose 0 = 2*m - 3*m + 3. Suppose 0*y + 12 = m*y. Let q be (-3)/1*y/(-3). Solve -i = q*k + 13, -3 = 4*i + 17 for k.
-2
Suppose -5*u + 8 = -3*u. Suppose -3*y + u = -g - 6, 2*y + 5*g - 1 = 0. Solve 6*s - 3*s + y = 3*m, 4*m - 5*s = 9 for m.
-4
Let z = -10 + 12. Let c be z - (-3 - (-2 - -1)). Let h = 2 + -2. Solve 5*s - 3*q + 28 = h, -4*s - c*q = 11 + 5 for s.
-5
Suppose 0 = -2*w + u - 1, 5*u = -2*w + 3*w - 22. Let h = w - -5. Solve -5*r - 1 + 0 = 3*y, 0 = 2*r + 2*y - h for r.
-2
Suppose 7*h - 2*h - 2 = 2*g, 4 = g. Solve 0 = -2*r - 2*r + 5*q + 12, -4*r + h*q + 12 = 0 for r.
3
Let c = -110 + 166. Suppose 0 = -4*m + 20, 8 = 3*l + 5*m - c. Solve -4*h = t + l, -2*t + 14 = -2*h - 0*t for h.
-4
Let c be (3 + -24)/(-3) - 3. Suppose c*o + 1 = 9. Solve 4*b + 4 = 4*l, 0 = -4*l + 2*b + 10 + o for l.
5
Let h = 9 - -13. Solve -3*r + 2*p = h, -r - 24 = -4*p - 0*p for r.
-4
Let y(k) = 21*k**2 - k + 1. Let q be y(1). Solve -2*u = -z + 5 - 16, 3*u = 3*z + q for z.
-3
Let s(q) = q - 3. Let f be s(5). Suppose 3*a - 18 = f*a. Solv | {
"pile_set_name": "DM Mathematics"
} |
309?
-1290
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-4410
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7134
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-1277167
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-531
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2809
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-30329
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45159
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-919
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47721
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89801
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7097
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665
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-20386
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-415
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159794
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17254
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514403
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48256
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9837
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-2663
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-1024
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-1233
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8993242
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1705
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-90962
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5351
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1773
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-14513
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-2732
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63532
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-7235
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-33065
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-39662
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17380
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30632
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-206172
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71240
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-7399
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11722
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-922
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19459
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415250
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38286
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-49697639
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10699
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4301
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4980
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-5558
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-1528
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19003
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445
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1518499
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-1728
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-38346
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7798
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-37959
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1066763
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146144
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287089
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-155254
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-143035
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-4823
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8747
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-403
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8630
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442998
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626
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392
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-1212951
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14710
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27208
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-41075
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17867
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2042
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81153
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86
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14705
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9873
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-2587622
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216400
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89917
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102131
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169421
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6911
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-7659
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46838
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9123
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2570
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3548
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-45278
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1252
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-1152
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-506664
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5353
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-153
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2754749
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-184
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-405175
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899666
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-15490
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1980
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-1274
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989
What comes next: 19163, 38324, 57 | {
"pile_set_name": "DM Mathematics"
} |
Which is the smallest value? (a) l (b) -2/7 (c) u
b
Let k = 0.09 + -0.03. Let p(t) = -t**3 - 4*t**2 + 6 - 6 - 7*t**2 - 2. Let n be p(-11). What is the third smallest value in k, n, 0.4?
0.4
Suppose -3*x = -2*q + 1 - 4, -x = -2*q - 5. Let h = -15.7 - -15. Let g = -0.2 - h. What is the second biggest value in q, 1, g?
g
Suppose 2*m = -5 - 3. Let n = -55 + 221/4. Let l = 31209 + -31208.7. What is the second smallest value in n, l, m?
n
Let i = 209585/9 + -23287. Which is the third biggest value? (a) -0.09 (b) 1/3 (c) i (d) -249
a
Let m be ((-16)/18)/(2 + -4). Let u = -19397 - -19396.6. Which is the smallest value? (a) -1/2 (b) u (c) m
a
Let i = 2181 + -2180. Which is the third smallest value? (a) 2 (b) -1 (c) -3/19 (d) i
d
Let k(m) = 2*m - 7. Suppose 0 = -6*j - 15*j + 84. Let o be k(j). Which is the biggest value? (a) 0.1 (b) 2/7 (c) o (d) -13
c
Suppose 92 = 11*u + 59. Let x = 177/4 - 44. What is the third smallest value in -3/2, x, u?
u
Suppose 2*p + 208 = -6*p. Let m be 13/(p/(-48))*6/(-56). Let j = m + 61/21. Which is the third biggest value? (a) 0.2 (b) 0 (c) -1/4 (d) j
b
Let v be 2/4 - 14/16. Let u = -302077 + 302053. What is the second smallest value in 3, v, -0.2, u?
v
Let m(s) = 3*s - 42. Let u be m(18). Let t be (-1)/(-4 + 54/u). Which is the biggest value? (a) -3 (b) -10 (c) t
c
Let l(n) = 6*n - 27. Let i be l(5). Suppose -2*m = -i*c - 129, -140 + 8 = -2*m + 4*c. What is the third smallest value in -0.1, -2, m?
m
Suppose 112*u - 112 = 108*u. Let o be (12/u)/((-80)/(-70)). Let t = -1 + 3. Which is the third smallest value? (a) t (b) o (c) 3 (d) -3/8
a
Let g be 1 + -1 + 5*-1. Let h = 25727 - 25382.91. Let t = h + -344. Which is the second smallest value? (a) -0.4 (b) g (c) -4 (d) t
c
Let l be (-40)/(-360) + 13/(-36). Which is the second biggest value? (a) 4/5 (b) l (c) 1/9
c
Let z be 80/1872 + 2/(-13). Let r = 0.36 + -0.36. Let n = r + 11. What is the second biggest value in z, n, -2?
z
Suppose 0 = -5*i - 3*w - 13, -4*w + 0 - 4 = 0. Let j = 2.4 + 10.6. Let u = -13.05 + j. What is the biggest value in u, 4, i?
4
Suppose -93*i = -61 - 125. Which is the third smallest value? (a) -4 (b) i (c) 3/319
b
Let o = 87 + -88.78. Let v = o - -1.58. Let n = 8.6 - 8. What is the second biggest value in 3/4, 5, v, n?
3/4
Let o(d) = -21*d - 5. Let m be o(-2). Suppose 4*x - 11 = m. Suppose -8*k - 44 = 3*k. What is the biggest value in x, k, -3?
x
Let v = 0.1 - 0.4. Let i be 5/(-1 - 0) - (-105 + 103 - -2). Which is the third smallest value? (a) i (b) -1/22 (c) v
b
Suppose -4*p - 6 + 6 = 0. Let h = 0.021 - 27.021. Let v = -190 + 379/2. Which is the fourth smallest value? (a) h (b) p (c) 0.2 (d) v
c
Suppose 0 = -x + 7*x + 78. Let u = -913.03 + 918. Let v = -0.03 - u. What is the smallest value in v, 0, x?
x
Let k = 4210 + -4212. What is the second smallest value in 4, k, 1, 1/7, 8?
1/7
Let r = 2.137 + -7.137. What is the fifth biggest value in -1/2, 1, 5, r, -14?
-14
Let u be ((-4)/(-48))/(108/(-16) - -6). Let r = -61 + 43. Let w = r - -18.07. Which is the smallest value? (a) w (b) u (c) 0
b
Let q = 590.9 + -592.9. Which is the biggest value? (a) q (b) 5 (c) 0.2 (d) -253 (e) 1/6
b
Let s = 410440/117 + -3508. Which is the smallest value? (a) -1 (b) -4 (c) s
b
Let s be (-3)/(5/((-165)/(-297))). Let p be 997*((-3)/(-15) + 0). Let t = p + -200. What is the third biggest value in s, t, -5?
-5
Let s = 0.12321 - -1.27679. What is the fourth smallest value in -0.3, -5, -0.8, s, 1?
1
Let q = 0.62 + -11.62. Suppose 12 = -22*s + 19*s. Let z be -1 + 7 + s - 0. Which is the second biggest value? (a) q (b) -2 (c) z
b
Let o = -2151.9 - -2151.7. Which is the fourth smallest value? (a) 7 (b) 0.01 (c) -0.1 (d) o (e) -0.05
b
Suppose -8*y = -10*y - 2. Let m be y*((-880)/(-2340) - (-2)/(-9)). Which is the fourth smallest value? (a) 5 (b) 2 (c) m (d) -4/5
a
Suppose 29*g - 27*g - 6 = 0. Suppose -2*n + c = 10, n - 6 = g*n + c. What is the smallest value in -0.4, n, -1, 25?
n
Let w be (-6)/(-10) + (-222)/(-30). Suppose -3*n + w = -n. Suppose 4*g - 3 = -3*y, g + 18 = -3*y + n*g. Which is the biggest value? (a) 5 (b) 0.5 (c) y
a
Let q(k) = -4*k**2 + 12*k - 1. Let l be q(3). Which is the third smallest value? (a) 3 (b) -0.3 (c) -57/2 (d) l
b
Suppose -25 = -g + 6*g. Let j = 35 - -38. Suppose 29*b = 14 + j. What is the smallest value in g, 3/7, b?
g
Let v = -3074 + 3072. Which is the third biggest value? (a) -0.066 (b) -3 (c) 2/5 (d) v (e) -1/7
e
Let g = -13459 + 13458. What is the biggest value in -210, -6, g, -2?
g
Let o be (92/(-92))/((-10)/6). What is the fifth smallest value in 0.054, o, 1/6, 1/7, 0.1?
o
Let g = 31.73 + -32. Let f = 1.52 + -1.25. Let j = f + g. Which is the third biggest value? (a) -0.4 (b) -2/7 (c) j
a
Let v(o) = -2*o**3 - 9*o**2 - 61*o - 230. Let i be v(-4). Let w be (-4)/(-2) - 8/10. What is the second smallest value in 0, i, w?
0
Suppose -10*o + 24 = -6*o. Let t be 7/(-2)*o/(-28). What is the second biggest value in 1/4, t, 0, -1/6?
1/4
Let g = -9135 + 9132. Which is the smallest value? (a) g (b) 32 (c) -0.014
a
Suppose r - 4 = 3*b, -3 = -r + 2*b + 1. Suppose -47*z = -42*z - 5*v + 15, 0 = -r*z + v - 15. What is the second smallest value in 3, -0.5, 3/8, z?
-0.5
Suppose 5*k - 1532 = -312. Suppose -2*i - 142 = k. Let u = i + 1353/7. Which is the third smallest value? (a) u (b) 0.1 (c) 4
c
Suppose 32*y - 3*z - 31 = 34*y, -3*y = 5*z + 50. Which is the second biggest value? (a) y (b) -1/2 (c) 1 (d) -0.07
d
Let t = -750 + 746.92. Let i = t - -7.08. Which is the second smallest value? (a) 0 (b) -1 (c) i (d) 1/4
a
Let w = -433.91 + -82.99. Let k = w + 517. Which is the third biggest value? (a) -4 (b) k (c) -3 (d) 3/5
c
Let z = -0.16 - 1.04. Let i = -1.2 - z. Suppose 4*w + r = -42, 6*w - 19 = 7*w - 4*r. What is the second smallest value in w, -1, i?
-1
Let p = -907.6 + 905.6. What is the third smallest value in -5, -5/2, p, 2/3, 0.2?
p
Suppose 20*j - 18*j + 16*j = -90. What is the second smallest value in 0.5, j, 1313?
0.5
Let h = -11 + 13. Let p = -6956 + 6951. Let x = 4.09 + -0.09. Which is the third biggest value? (a) p (b) -3 (c) h (d) x
b
Let t = 155 - 371. Let w = t + 222. Which is the fourth biggest value? (a) -0.2 (b) -2/13 (c) -1/3 (d) w
c
Let r = -5741 + 5737. Let m = -1661/9 + 185. Which is the third smallest value? (a) m (b) r (c) -2/9
a
Let x = 5 - 8. Let g = -1043.9 - -1044.4. Which is the third smallest value? (a) 3/17 (b) g (c) x
b
Let s = 1054 - 1011.3. Let v = -3.3 - s. Let u = -45 - v. Which is the smallest value? (a) u (b) -0.2 (c) -5 (d) 2
c
Let q = 925 - 933. Let p = 0.3 - -0.7. Let k = 0.55 + -0.95. Which is the biggest value? (a) p (b) k (c) q
a
Let y = 547 + -547. Let x be (-12)/54 - (-3)/((-1026)/(-40)). What is the second smallest value in x, 1, y, 0.3?
y
Let t = -29414 + 29414.07. Which is the second biggest value? (a) 4 (b) t (c) 0 (d) -1 (e) 14
a
Let n = -281/408 - -3/136. Let j = -70.7 - -23.7. Which is the third smallest value? (a) -4/5 (b) n (c) j
b
Let h = -1.0282 + 1.1282. Which is the fifth biggest value? (a) -0.1 (b) -2 (c) 4/3 (d) 9 (e) h
b
Let x = 3.78 + -10.78. Let r(y) = -2*y + 14. Suppose 0 = z + 1 - 10. Let h be r(z). Which is the biggest value? (a) -0.1 (b) h (c) x
a
Let x(i) = 2*i**2 - 2*i - 4. Let m be x(-2). Let n be (m - 8)*1/2. Suppose 10*v - 32 - 18 = n. What is the third biggest value in -2/7, -3, v?
-3
Let s be 27/2 + (-4)/6. Suppose -2*g = -5*z - 6, 0 = g - 2*z + 5*z - 25. Let t = s - g. Which is the third smallest value? (a) t (b) -2 (c) 3/7
c
Suppose 7*z - 2*z - 27 = r, -5*z + 45 = 5*r. Which is the second biggest value? (a) r (b) 4 (c) 561.9
b
Let t be (-112)/280*5/(-21). Let w be -4*(-4 + 3)/6. Which is the fourth biggest value? (a) -0.4 (b) w (c) t (d) 4
a
Let z = 58.444 - 2.444. What is the third biggest value in 4/5, 6, z?
4/5
Suppose -19*n - 2*r = -18*n - 8, 111 = 2*n + 23*r. Which is the second smallest value? (a) -4.4 (b) n (c) -5 (d) 0.1
a
Let f = -1127/15 - -374/5. Which is the third smallest value? (a) -0.5 (b) f (c) -1/29
c
Let r be 6/1*(-7)/14 + -1. What is the biggest value in 0.2, r, 2/11, -4/15?
0.2
Let r be 1034 - 1034 - -4*(0 + 1). Which is | {
"pile_set_name": "DM Mathematics"
} |
3*t**3 + 27*t**2 + 2146*t - 17361. Give b(8).
-1
Let p(b) = 5*b**3 + 8*b**2 - 10*b + 4. Calculate p(-6).
-728
Let q(v) = -43*v - 1764. Calculate q(-58).
730
Let d(t) = -t**3 + 588*t**2 - 313*t + 531286. Determine d(589).
8
Let d(s) = 13541*s - 3033184. Determine d(224).
0
Let d(s) = 11*s**3 - 3*s**2 + 21*s - 180. Calculate d(5).
1225
Let u(k) = k**3 + 18*k**2 + 28*k - 139. Determine u(-16).
-75
Let i(p) = -9*p**2 - 1314*p - 40686. Determine i(-102).
-294
Let i(l) = -l**3 + 45*l**2 + 38*l + 19994. Calculate i(53).
-464
Let y(t) = -2791*t - 203647. Give y(-73).
96
Let i(p) = -p**2 - 3826*p - 22943. Give i(-6).
-23
Let q(v) = 234778*v + 3521679. Calculate q(-15).
9
Let m(y) = -538505*y - 38772366. Give m(-72).
-6
Let y(c) = -701*c**2 + 316809*c + 19444. What is y(452)?
8
Let c(q) = -q**2 + 16005*q + 738295. Give c(-46).
-51
Let a(r) = -72234*r - 2022564. Calculate a(-28).
-12
Let m(n) = -n**2 - 17501*n + 7765419. Determine m(433).
-3
Let b(u) = -12*u**3 - u**2 + 59*u - 58. Give b(1).
-12
Let l(a) = -435*a**3 + 3*a**2 + 2968*a - 2971. Determine l(1).
-435
Let a(u) = -2*u**2 + 6929*u - 5667225. Determine a(2141).
2
Let r(d) = 37902*d - 189501. What is r(5)?
9
Let y(n) = -n**3 - 123*n**2 + 517*n + 1069. Calculate y(-127).
-74
Let x(f) = -8*f**3 - f**2 - 6554*f - 6554. What is x(-1)?
7
Let d(p) = -p**3 + 551*p**2 - 9122*p + 23292. What is d(534)?
-204
Let l(s) = -s**3 + 5732*s - 28545. Give l(5).
-10
Let o(d) = d**2 + 122486*d - 2695151. What is o(22)?
25
Let a(j) = 69*j**2 + 3962*j - 2334. Give a(-58).
-14
Let i(n) = 59*n**2 - 171*n + 580. Give i(4).
840
Let k(l) = 8*l**2 - 197*l - 221. Calculate k(23).
-520
Let y(q) = -31*q**3 - 3*q**2 - 890*q + 1804. Calculate y(2).
-236
Let x(f) = 743*f - 67302. What is x(91)?
311
Let z(w) = -4*w**3 + 2*w**2 - 69*w + 149. Determine z(6).
-1057
Let u(o) = -293*o - 21323. Give u(-74).
359
Let f(j) = -4*j**2 - 470505*j - 6115898. Determine f(-13).
-9
Let u(r) = -r**3 + 29*r**2 - 900*r + 27660. Give u(30).
-240
Let g(z) = 338*z + 5641. Determine g(-16).
233
Let b(j) = j**2 - 2263*j - 151331. Calculate b(-65).
-11
Let d(v) = 332*v**3 - 3*v**2 - 11*v + 13. Calculate d(1).
331
Let n(f) = -2*f**3 + 15*f**2 - 430*f + 2960. Determine n(7).
-1
Let f(d) = 19*d**2 - 271*d - 31181. Calculate f(-34).
-3
Let s(k) = -284*k**3 + 6*k**2 + 24*k + 23. Calculate s(-1).
289
Let c(a) = 2*a**3 + 479*a**2 + 245*a + 1687. What is c(-239)?
253
Let h(o) = -40*o**2 - 69*o - 6. Determine h(-1).
23
Let a(l) = l**2 - 3027*l + 12099. Determine a(4).
7
Let n(f) = -f**2 + 44*f - 461. What is n(15)?
-26
Let s(i) = i**3 - 10*i**2 - 100*i + 63. What is s(16)?
-1
Let h(g) = 180*g**2 - 1824*g + 235. Determine h(10).
-5
Let k(r) = 23953*r - 215151. Determine k(9).
426
Let n(z) = -209133*z - 104775629. What is n(-501)?
4
Let b(m) = 7454*m - 141647. Calculate b(19).
-21
Let d(q) = -97246*q - 97239. What is d(-1)?
7
Let p(o) = -2*o**3 - 244*o**2 - 1594*o + 1893. What is p(-115)?
53
Let o(p) = 113632*p + 795439. Give o(-7).
15
Let b(o) = -8900*o - 4921694. Determine b(-553).
6
Let g(b) = b**3 + 6*b**2 - 53*b - 142. Give g(7).
124
Let c(q) = 13*q**3 + 171*q**2 + 268*q - 133. Calculate c(-10).
1287
Let i(l) = 1271*l**2 - 2569*l + 2. Calculate i(2).
-52
Let g(v) = -367*v**3 - 451*v**2 + 906*v - 3. Calculate g(2).
-2931
Let v(h) = 195*h + 995. Calculate v(-7).
-370
Let l(s) = 24*s - 5921. Determine l(153).
-2249
Let r(m) = 738*m - 6470. Give r(9).
172
Let f(s) = 332*s - 5286. Calculate f(15).
-306
Let l(a) = -2*a**3 - 66*a**2 - 1617*a + 21361. Give l(9).
4
Let v(f) = 1679*f + 114221. Give v(-68).
49
Let o(d) = 8*d**3 + 668*d**2 - 338*d - 213. Give o(-84).
-45
Let i(x) = x**3 + 110*x**2 - 356*x - 19. Give i(-113).
1902
Let p(y) = -1291753*y + 1291773. What is p(1)?
20
Let b(n) = -464*n + 4273. What is b(10)?
-367
Let f(y) = -11*y**2 + 45*y + 113. Determine f(6).
-13
Let l(d) = d**3 - 3121*d**2 - 56495*d + 123. Determine l(-18).
-3
Let k(p) = 2*p**3 - 9*p**2 + 17*p + 134. Calculate k(8).
718
Let q(f) = 145*f**2 - 1801*f + 3498. What is q(10)?
-12
Let k(x) = -17*x**3 + 121*x**2 + 4*x - 125. What is k(7)?
1
Let y(o) = -o**2 + 26*o + 709. Determine y(34).
437
Let u(g) = -3*g**3 - 154*g**2 + 1832*g + 22. What is u(10)?
-58
Let d(h) = 208929*h + 417828. Determine d(-2).
-30
Let d(r) = 20564*r - 14579878. Determine d(709).
-2
Let h(z) = -8*z**2 - 695*z - 3849. Calculate h(-81).
-42
Let b(t) = -t**2 + 294*t - 2154. What is b(9)?
411
Let f(g) = -3*g**2 - 2*g - 346. Calculate f(12).
-802
Let c(i) = -i**3 - 37*i**2 - 172*i - 474. What is c(-32)?
-90
Let q(h) = 4*h**2 - 1307*h - 7999. What is q(-6)?
-13
Let v(m) = 573*m**2 + 10310*m - 86. Calculate v(-18).
-14
Let k(f) = f**2 - 700*f + 115341. What is k(266)?
-103
Let a(p) = 25*p + 304. Calculate a(-16).
-96
Let l(z) = -2*z**3 + 268*z**2 - 8977*z + 485. Calculate l(69).
2
Let v(h) = -h**3 - 74*h**2 - 1265*h + 97. Calculate v(-49).
2057
Let g(q) = -3335*q + 57434. What is g(17)?
739
Let y(z) = 2*z**3 - 9*z**2 + 269*z + 1302. Give y(-5).
-518
Let q(a) = -23*a**2 - 2697*a - 336. What is q(-117)?
366
Let p(c) = 57*c + 4520. Give p(-79).
17
Let a(b) = b**3 + 24*b**2 - 218*b - 4159. Give a(-27).
-460
Let r(j) = 728*j**2 + 722*j - 11. What is r(-1)?
-5
Let o(g) = -g**3 + 48*g**2 + 4*g - 5719. What is o(46)?
-1303
Let r(u) = 11622*u + 15805947. Calculate r(-1360).
27
Let o(s) = -19709*s - 315737. Determine o(-16).
-393
Let g(v) = 2*v**2 - 32425*v + 8. What is g(0)?
8
Let k(m) = 917170*m + 5503030. What is k(-6)?
10
Let g(i) = 2*i**3 + 15*i**2 - i + 62. Calculate g(5).
682
Let v(d) = 31*d**2 - 3206*d + 10604. Give v(100).
4
Let t(m) = -65952*m - 2901867. Give t(-44).
21
Let l(s) = s**2 + 243*s - 2803. Give l(11).
-9
Let b(l) = 13*l**2 - 2761*l - 15886. Calculate b(218).
28
Let d(z) = z**3 - 10*z**2 - 40*z - 51. What is d(14)?
173
Let p(b) = -b**2 - 241*b - 10230. What is p(-55)?
0
Let x(i) = -6*i**3 - 602*i**2 - 189*i + 1157. What is x(-100)?
57
Let w(g) = 46369*g + 324590. Give w(-7).
7
Let m(r) = 57*r**2 - 12426*r + 24857. What is m(2)?
233
Let a(v) = 2*v**3 - 802*v**2 - 2439*v + 6343. Determine a(404).
283
Let g(z) = -744538*z + 1489184. What is g(2)?
108
Let p(z) = -25458*z + 712818. Determine p(28).
-6
Let p(j) = j**3 + 67*j**2 + 156*j + 5946. What is p(-66)?
6
Let b(u) = u**3 - 757*u**2 + 26613*u + 19444. Determine b(720).
4
Let s(d) = -d**3 - 55*d**2 + 75*d - 2126. Calculate s(-57).
97
Let p(o) = -231*o - 37835. Determine p(-164).
49
Let v(r) = 5*r**3 + 358*r**2 - 123*r + 3103. Give v(-72).
1591
Let q(g) = -607*g**2 + 23103*g - 1401. Calculate q(38).
5
Let h(c) = 474*c**2 - 41238*c - 25. Determine h(87).
-25
Let y(l) = 48*l**3 - 2256*l**2 - 5*l + 45. What is y(47)?
-190
Let i(c) = 12302*c - 246029. Calculate i(20).
11
Let v(f) = 9748*f + 8646468. Calculate v(-887).
-8
Let d(g) = 56*g**2 - 89*g - 771. What is d(-3)?
0
Let g(l) = 19*l**2 - 107*l - 1204. Determine g(-10).
1766
Let m(v) = 50*v + 313. Calculate m(103).
5463
Let x(n) = n**3 + 260*n**2 + 5220*n - 4107. Calculate x(-238).
-299
Let h(f) = -31335*f + 1002715. What is h(32)?
-5
Let y(m) = 132*m - 35032. Determine y(265).
-52
Let o(u) = u**3 + 29*u**2 - 52*u - 7. What is o(-21)?
4613
Let s(u) = 156*u - 17861. Give s(113).
-233
Let r(y) = y**3 - 61*y**2 + 1232*y - 8165. Calculate r(23).
69
Let s(h) = -10*h**2 + 2387*h + 2422. Determine s(-1).
25
Let m(a) = -6*a**3 - 156*a**2 - 38*a - 903. Determine m(-26).
85
Let g(d) = 14226*d - 796699. Give g(56).
-43
Let s(z) = -17*z**3 - 12*z**2 + 101*z - 298. Calculate s(4).
-1174
Let w(u) = 14890*u + 74357. Determine w(-5).
-93
Let c(l) = -2253*l + 13637. Calculate c(5).
2372
Let w(k) = -3*k**2 - 306*k + 408. Determine w(0).
408
Let q(x) = -61068*x + 366192. Determine q(6).
-216
Let w(n) = 29*n + 3233. Determine w(-7).
3030
Let z(c) = c**3 + 114*c**2 - 1833*c - 5271. Give z(-128).
-23
Let l(j) = -j**3 + 80*j**2 + 1609*j - 133556. Determine l(79).
-204
Let q(o) = 113440*o - 567206. Calculate q(5).
-6
Let z(o) = -6217*o - 161570. Give z(-26).
72
Let d(u) = u**3 - 16*u**2 + 4633*u - 115800. What is d(24)?
0
Let l(a) = -339*a - 13720. Give l(-40).
-160
Let i(k) = 9*k**2 - 372*k - 1411. Determine i(45).
74
Let a(w) = w**3 - 2*w**2 - 130*w + 78. Give a(-11).
-65
Let u(d) = -7*d**3 - 3*d**2 - 57*d + 139. What is u(2)?
-43
Let n(s) = 69 | {
"pile_set_name": "DM Mathematics"
} |
f 3?
False
Let b = -803 + 972. Is b a multiple of 3?
False
Let j(f) = 60*f**2 + 23*f + 1. Is 99 a factor of j(-5)?
True
Suppose -2*q - 2*m + 1570 = -6*m, 0 = 4*q + 4*m - 3080. Is 25 a factor of q?
True
Let r(d) = 148*d + 171. Is 11 a factor of r(12)?
True
Let v(b) = b**2 + b - 91. Let k be v(0). Let o = -21 - k. Is 7 a factor of o?
True
Suppose 2*r - 6 = -0, 3*r - 9 = 2*w. Suppose -4*x + 58 = x + 3*m, m + 4 = w. Is x a multiple of 4?
False
Let q(x) = -2*x**3 + 25*x**2 + 19*x - 22. Does 50 divide q(11)?
True
Let i(c) = 14*c + 7. Let t(h) = -13*h - 6. Let p(r) = 5*i(r) + 6*t(r). Let a be p(5). Does 6 divide (a + 12)/(-1 + 0)?
False
Suppose 871 = 2*t + 4*j - 2743, t - 3*j - 1782 = 0. Does 113 divide t?
False
Let n(m) be the second derivative of 1/20*m**5 + 11/12*m**4 + 5/6*m**3 - 7*m + 0 - 6*m**2. Is 13 a factor of n(-10)?
False
Let g(z) = -64*z**3 + 12*z**2 + 2*z + 4. Is 5 a factor of g(-2)?
True
Suppose -12*u + 50 = -17*u. Let h be (6/(-4))/(3/(-160)). Let c = u + h. Is 18 a factor of c?
False
Suppose 5*q + 125 + 55 = 0. Is 4 a factor of ((-68)/132 + 2/11)*q?
True
Suppose 12*l = 17*l + 470. Let z = -76 - l. Is 3 a factor of z?
True
Suppose 7*n = -304 + 682. Is n even?
True
Let x = 10 + -7. Suppose -x*m - 2*m = -10. Suppose -m*a - 215 = -6*a - b, -4*b = a - 65. Is 19 a factor of a?
False
Let c = -3342 - -3769. Is c a multiple of 20?
False
Suppose 5*z - 23 = 12. Suppose 3*n - 99 = q, -3*n - 122 = -z*n - 2*q. Does 16 divide n?
True
Let l(m) = 714*m**3 + 5*m - 5. Does 3 divide l(1)?
True
Suppose -19*j = -779 - 13699. Does 47 divide j?
False
Let p(d) = d**3 + 4*d**2 - 7*d - 6. Let w be p(-5). Suppose 8 = -w*k - 32. Let z(y) = -5*y + 2. Is z(k) a multiple of 26?
True
Suppose -4*c + 15 = -5*n, 0 = -4*c - c - 5*n + 30. Let h = c + -1. Suppose -5*i + 3*v + 152 + 118 = 0, 4*i - h*v - 224 = 0. Does 19 divide i?
False
Suppose -3*y = 3*b + 3, 2*b = y + 4*b + 1. Let j be (y - -3)*(9 - -2). Does 7 divide 33/j + 106/4?
True
Suppose -7*y + 683 = -1424. Suppose 4*m - y = -5. Is m a multiple of 13?
False
Let v(k) = 27*k - 75. Suppose -3*w = -s, w = -4*s - 3*w + 32. Is 13 a factor of v(s)?
False
Does 91 divide (-20)/15 + (-820)/(-3)*4?
True
Let c = 3183 + -1637. Is 47 a factor of c?
False
Suppose -u + 0*d = -5*d - 168, -u - 3*d + 200 = 0. Suppose 4*q + 76 + u = 0. Let r = q + 98. Is r a multiple of 14?
False
Let u(l) = 3*l - 47. Is u(25) a multiple of 4?
True
Suppose 15 = 4*h - 3*i, -i = 5*h - 0*i + 5. Is -2 - h - (-49 + 16) a multiple of 31?
True
Suppose 668 = 3*s + 2*b + 246, -4*b = -3*s + 416. Suppose 0 = -4*m - 8 + s. Is 14 a factor of m?
False
Suppose 5*u = -5 - 15. Let i be 1*(2 - (93 + u)). Let w = -45 - i. Does 17 divide w?
False
Does 71 divide 262 - (0 - (3 + 1 - 1))?
False
Let n(y) = 2*y**3 - 7*y - 1. Let b be n(3). Suppose 2*f = -3*s + 91, -2*f = -4*s - b - 52. Is 10 a factor of f?
False
Let x(h) = -h**3 + 3*h**2. Let b be x(5). Let k be 540/b*(-10)/(-2). Does 14 divide (k + -2)*(-2)/4?
True
Let y be ((-119)/21)/(((-2)/9)/2). Suppose -z + o = -2*o - y, 5*o - 295 = -5*z. Is 18 a factor of z?
False
Suppose -103*y = -87*y - 29664. Does 6 divide y?
True
Let h = -687 + 1264. Is 11 a factor of h?
False
Suppose 2*k - 818 = -16*r + 12*r, 5*k = -4*r + 821. Is 17 a factor of r?
True
Let k be 1 + -6 - (4 + -1). Let h(q) = -q**3 + 12 - 9*q**2 + 5*q + 2*q**2 + 3*q. Is 3 a factor of h(k)?
True
Let d(i) = 2*i - 6. Let v be d(4). Suppose 0 = v*r - 3*r, 3*r + 24 = -4*c. Does 26 divide ((-52)/c)/((-2)/(-6))?
True
Let u = -1322 - -2237. Is 32 a factor of u?
False
Let f(s) = 12*s - 399. Is f(44) a multiple of 14?
False
Suppose 2*d = 0, 4*k - 2*d = -6 + 114. Let r be k*3*3/9. Suppose -3*b + i + 27 = 0, 3*b = 3*i - 5*i + r. Does 2 divide b?
False
Let u = -10 - 16. Let j = u + 32. Does 2 divide j?
True
Suppose -m + y + 14 = 0, 5*m - y = y + 55. Suppose -1 = 4*t - m. Suppose -t*v + 222 = 3*v - 2*h, 2*h = -5*v + 238. Is 13 a factor of v?
False
Suppose 3*j = 4*w + 5*j - 260, 0 = w - 5*j - 65. Suppose 3*v + 5*m - 269 = 0, m + w = v - 30. Is v a multiple of 31?
True
Let w(y) = -y**3 + y**2 + 5*y - 7. Is w(-5) a multiple of 30?
False
Let x be (2 + -1 - (-5 - -3)) + -223. Does 17 divide (x/6 - 0)*(-3)/2?
False
Let k = 1373 - 1042. Does 18 divide k?
False
Suppose 1 = 3*h - 14. Suppose -h*x + x = 0. Does 24 divide (-1 - (x + 1))*-36?
True
Suppose 252*r - 4400 = 248*r. Does 20 divide r?
True
Let a be (-23)/(-4) + 12/48. Let h be (-18)/7*(-28)/a. Is 6 a factor of 9/(-4*h/(-64))?
True
Let o = 1220 - 680. Is o a multiple of 12?
True
Let a be ((-78)/8)/(3/(-72)*1). Suppose 2*y = 2*t - 4*t + a, 0 = -y. Is t a multiple of 10?
False
Is 88 a factor of (-6)/14 - (-4 + (-47898)/42)?
True
Let y = -18 - -20. Suppose t = y*t - 678. Does 23 divide (-2)/(-3) - t/(-9)?
False
Let z = 726 + -458. Is 14 a factor of z?
False
Let p(u) = -u**2 - 6*u - 4. Let o be p(-4). Suppose -i + 38 = -3*r - 3, -o*r + 149 = 3*i. Suppose 0 = q - i - 21. Is q a multiple of 20?
False
Let k(h) = -h**2 - h + 10. Suppose 3 = -o - 0. Let v be o - 1 - (-16 - -12). Is 10 a factor of k(v)?
True
Let b(j) be the third derivative of j**7/315 + j**6/240 - j**5/60 - j**4/24 - 3*j**2. Let p(r) be the second derivative of b(r). Is p(2) a multiple of 12?
True
Let i be (-1)/(-5) + 245/25. Is 18 a factor of 16/i*(-1215)/(-18)?
True
Let y(h) = h**2 - 13*h + 14. Let j be y(12). Suppose 49 = j*a - 133. Is a a multiple of 13?
True
Let o(f) = -4*f**2 + f**2 - 1055*f + 2*f**2 + 1036*f + 8. Is 5 a factor of o(-19)?
False
Let b(x) = -29*x - 40. Let y be b(7). Let n = -127 - y. Is 29 a factor of n?
True
Suppose -64*w + 66*w + 4*p - 480 = 0, 0 = w - 3*p - 225. Is 78 a factor of w?
True
Let g = -21 + 31. Suppose g*o = 8*o + 10. Suppose 0 = 5*t - 2*f + f - 163, -4*t + 113 = o*f. Is t a multiple of 5?
False
Suppose -u + 3*w = w + 11, 4*u - 4*w = -44. Let n = -12 - u. Let f = n + 13. Is f a multiple of 4?
True
Let f(z) = -2*z**2 - 88*z + 58. Does 50 divide f(-17)?
False
Let o be 1*(1 - 3) + 1. Is (-4 - (o - 3)) + 18 a multiple of 4?
False
Let w(i) = i**3 - 2*i**2 - 2*i. Let f be (-14)/(-5) - (-6)/30. Let g be w(f). Is 6 a factor of 2/g*(29 - -7)?
True
Let n = -1154 + 2275. Does 19 divide n?
True
Let f = -15 - -21. Suppose x - 4*x = p + 2, -3*p - f = -5*x. Does 10 divide (1 - p - 4) + 21?
True
Let b(y) = 3*y**3 - 3*y**2 + 5*y + 4. Does 24 divide b(4)?
True
Let z(a) be the second derivative of -a**4/12 + 13*a**3/3 - 21*a**2/2 - 17*a. Is z(15) a multiple of 13?
False
Let r be 0 + (-12)/4 + -1. Let w be 146*(6/3)/r. Let f = -39 - w. Does 13 divide f?
False
Suppose -6*p - 265 - 71 = 0. Let n = 82 + p. Is n a multiple of 21?
False
Is 937 - (6 + -22 + 8) a multiple of 27?
True
Is 15 a factor of 1 + 4 + 0 - -190?
True
Suppose 2*j + 12 = 26. Let i(u) = 21*u - 55. Is 10 a factor of i(j)?
False
Let o(t) = -t**3 + 13*t**2 - 17*t - 1. Let k be o(11). Let p = 60 + k. Is 15 a factor of p?
False
Let a(s) = s**2 + 10*s - 9. Let k be a(-11). Suppose -6 - 4 = 5*u - 2*q, -2*u = -k*q + 4. Let r(v) = 5*v**2 + 4*v + 2. Is 8 a factor of r(u)?
False
Let i(g) = 10*g**3 + g**2 + 2*g + 1. Let r be i(-1). Let d be ((-2)/6 - 0)/(8/72). Is 6 a factor of (-24)/(r/(-15)*d)?
True
Let r(t) = 23*t - 91. Does 5 divide r(62)?
True
Let a(u) = -u**3 + 4*u - 3. Let w be a(2). Let m be 0 - ((-3 - w) + 1). Does 2 divide (2 + m)/(14/70)?
False
Suppose 39*b = 61*b - 77946. Is 14 a factor of b?
False
Let c = 437 - -194. Does 17 divide c?
False
Let g be 1460/44 - 3/(66/4). Let s = 66 - g. Does 11 divide s?
True
Suppose -4620 = 7*r - 11*r - 4*b, 3*r - 3*b - 3447 = 0. Is 12 a factor of r?
True
Let q = 274 + -218. Is 7 a factor of q?
True
Suppose 43 = 13*n - 74. Suppose 0 = -12*r + n*r + 108. Is r a multiple of 13?
False
Let a(g) = -32*g - 40. Suppose 4 = -2*d - 6. Let i(t) = 13*t + 16. Let f(y) = d*a(y) - 12*i(y). Is 16 a factor of f(14)?
True
Suppose -2718 = -7*o + 2833. Is o a multiple of 72?
False
Let q(d) = -2*d**3 + 4*d**2 - 3*d + 2. Let m be q(2). Let g(k) = -2*k + 7. Let x be g(-3). Let h = x + m. Is 4 a factor of h?
False
Let f = -18 + 57. Let a = f - 15. Let m = a + -4. Does 13 divide m?
False
Let n be 16/7 - 14/49. Let t be n + (2 - (-8)/(-4)). Suppose -t*p = 5*l - 70, 0*l = 3*p - 4*l - 82. Is 15 a factor of p?
True
Let k(g) be the third derivative of 11*g**6/120 - g**5/60 - 2*g**3/3 - 1 | {
"pile_set_name": "DM Mathematics"
} |
5. Is i*4/(-8)*-8269 a prime number?
True
Let v(c) = 44543*c**2 - 31*c + 19. Is v(-3) composite?
True
Suppose 0 = -22*a + 25*a - 198003. Is a prime?
False
Suppose 4*z = -4*z + 131512. Suppose 4*q - 5*u - z = 0, -6*q + 12338 = -3*q + 5*u. Is q a prime number?
True
Let v = -6511 - -11253. Is v prime?
False
Suppose 2*q = 110 - 18. Is (-110914)/(-6) - (q/6 + -7) composite?
True
Suppose 0 = 60*i - 5049202 - 3289418. Is i composite?
False
Suppose -4*i + 5*y + 21 + 39 = 0, -4*i + 60 = -4*y. Let h(n) = 45*n - 6. Let d be h(i). Suppose -d = -0*s - 3*s. Is s prime?
True
Is (-300464)/(-178) + 1*3 a prime number?
False
Let m = -53 - -57. Suppose 5*k - 11111 = -3*c + 2382, -3*c = -3*k - 13533. Suppose -m*f = -10*f + c. Is f prime?
True
Suppose -5*j = -7*j - 8, -5*s - j + 186 = 0. Let o(r) = -r**3 + 39*r**2 - 8*r + 51. Is o(s) a composite number?
True
Let y(g) = 22*g - 44. Let v be y(2). Suppose -p + 1317 + 34 = v. Is p a composite number?
True
Suppose 0 = -33*a - 74586 + 187281. Let l(u) = -2*u - 7. Let t be l(-6). Suppose -2*m = t*d - 2563, 3*m + 2*d - a = 424. Is m prime?
True
Suppose 0 = 9*a - 2*a. Suppose -p - 2 = 0, a = -3*j - 2*j - 3*p + 4529. Is j a composite number?
False
Suppose 11*f = 33 + 55. Suppose 50*q = f*q + 13188. Is q a prime number?
False
Let t = 1459444 + -401853. Is t prime?
False
Suppose 5*g = -v - 3*v + 14547, 5*v = 2*g - 5832. Suppose 2*w + g = 337. Is (-5)/(5/2) - w prime?
False
Let z(k) = 10 + 9 - 6 + 3*k - k + 124*k**2. Is z(7) composite?
True
Let h(x) = -2*x**2 + 3*x + 17. Let s be h(-3). Let a(c) = -26*c - 7. Is a(s) a prime number?
False
Suppose -2061*v + k = -2062*v + 1036675, -3*k = 4*v - 4146706. Is v a composite number?
False
Let t be 9/(-12) - -2*(-14028)/(-32). Let c = t - 226. Suppose 242 = 2*s - c. Is s a composite number?
True
Let k(w) = 36*w - 175. Let i be k(5). Let a = 1872 - i. Is a prime?
True
Is 244/183*(-3)/(-16)*867572 prime?
False
Let j(r) = r**3 + 18*r**2 + 14*r - 22. Let q be j(-17). Let y = 594 + q. Is y composite?
True
Let g = -303985 + 696638. Is g composite?
True
Suppose 129763 + 294233 = -60*l + 72*l. Is l composite?
True
Suppose 2086331 + 472731 = 22*v. Is v composite?
True
Suppose -2*k + 7 = -d, 6*k - 4*k + 2*d = 4. Suppose 5*p - 5*w - 5585 = -7*w, k*p + 3*w = 3342. Is p composite?
True
Let u(h) = -16*h**3 - 15*h**2 - 127*h - 721. Is u(-13) composite?
False
Suppose 3*u = 511 + 650. Let z = 324 - 562. Let o = u + z. Is o a prime number?
True
Let x(v) = 17*v**2 + 112*v - 74. Is x(39) prime?
False
Let p(m) = 48*m**2 + 4*m + 291. Is p(-16) composite?
True
Let j be 156/36 + (-4)/(-6). Suppose -j*p - 7193 = -5*b - 2013, -b = 2*p - 1051. Is b composite?
True
Let t(u) = 11*u**3 - 2*u**2 + u + 2. Let j be t(-1). Is (20973/6)/((j/(-2))/36) a composite number?
True
Suppose -3*h + 35 = -16. Suppose -h*q + 6*q = -29183. Suppose -8948 + q = -5*k. Is k a prime number?
True
Let m = 6515 + 45494. Is m a composite number?
False
Suppose -236 + 816 = 5*v. Let u = 3599 + -3550. Let h = v - u. Is h a prime number?
True
Let u be (-35)/(-14)*(-8)/30*-6. Let v be 8 - (u + 1) - (-1 - 13). Suppose -v*t + 267 = -14*t. Is t a composite number?
False
Suppose 86*h + 39604 = 89*h - 5*q, -5*h + q = -65992. Is h a composite number?
True
Let a be (-6)/4*2/(-3). Suppose 238 = -4*o + 2*q + 390, q = -3*o + 99. Is 8277*(a/(-4) + o/60) a prime number?
False
Let y(t) = 17*t**2 - 466*t + 6958. Is y(15) composite?
False
Is (137180 - ((4 - 9) + 6))*1 a prime number?
False
Suppose -5*y - 261 = 2*q, -2*y - 90 = -2*q - 2*q. Let i = y - -63. Let z = i - -211. Is z a prime number?
True
Suppose -2*n + 5*n = -1022173 + 2512000. Is n composite?
False
Suppose 3*v - v - 2448 = 0. Let q = v + -575. Is q prime?
False
Is (-212)/(-212)*(-40954)/(-4)*2 a prime number?
True
Let h(f) = 20*f - 1876. Let s(n) = 7*n - 625. Suppose 7*j = 5*j - 12. Let l(y) = j*h(y) + 17*s(y). Is l(0) a composite number?
False
Let w = 33247 - 13975. Suppose 0 = -2*g - 4*f + 19278, 2*g - 2*f = -0*g + w. Is g a composite number?
True
Suppose 5971884 = 10*g + 8*g - 1469514. Is g composite?
False
Let x = 24 - 73. Let a = x - -52. Suppose 5*j - a*l = 1576, j = 2*l - 6*l + 329. Is j a prime number?
True
Suppose 199*y + 60007021 - 266517480 = 0. Is y a composite number?
False
Let k(d) be the first derivative of d**3/3 - 13*d**2/2 - 26*d + 9. Let j be k(15). Is (-4 + 6)*3674/j a prime number?
False
Let n(u) = 103*u**3 + 27*u**2 + 15*u. Let v(x) = -51*x**3 - 13*x**2 - 8*x - 1. Let o(d) = -2*n(d) - 5*v(d). Is o(7) prime?
False
Suppose 2*d = 3*h + 20486 + 124382, 3*d + h = 217291. Is d prime?
True
Let l(q) = q - 1. Let z be l(7). Let i be (34/z)/1 - (-4)/(-6). Suppose x = i*j - 14, 30 = 3*x - j + 2. Is x a prime number?
True
Let q(x) = -33*x**2 + 5 + 3 + 31*x**2 + 3*x**3 + 2*x. Let a be q(7). Is (-3 - -8 - 4)*a prime?
True
Let r = -103407 - -239285. Is r composite?
True
Suppose -11*j + 4 = -7*j. Suppose 0 = p - j, 12 = f + 3*p + 6. Suppose 0*i + 5*i + 12647 = 4*v, i + 9488 = f*v. Is v composite?
False
Let w = -1929709 - -3421638. Is w composite?
False
Suppose -12*x + 99120 = 12924. Is x prime?
False
Let x(d) = -d**2 + 10*d - 14. Let o be x(8). Suppose -o*k = -k. Is 686 - (-3 + 4 + k) prime?
False
Suppose 0 = -2*k - 90. Let h = -45 - k. Is -4 - ((h - 5) + -2776) a composite number?
False
Suppose 5*v - 66935 = 3*q + 24579, -q - 3 = 0. Is v prime?
True
Suppose 2*f - 25968 = -4*v, -3*f + 5*v + 51897 = f. Let j = -9145 + f. Is j composite?
False
Suppose -50047 = -5*f + 6*s - 10*s, -s - 30018 = -3*f. Is f prime?
True
Let v = -70 - -77. Suppose -m - 28164 = -v*m. Suppose -5*o = -a - 5040, -m + 648 = -4*o - 2*a. Is o prime?
True
Suppose -3*f = 3*n - 120813, 30 = -155*n + 150*n. Is f a prime number?
True
Is (172 - 343898)/(0 + 8)*-4 prime?
True
Suppose 114*u - 135*u = -487767. Is u a prime number?
True
Suppose -2*j = -3*z - 25, 2*j + 5 = 4*z + 35. Suppose 5*p + j*g - 40730 = 0, 2*p - 21703 = -5*g - 5414. Is p composite?
False
Suppose 5*g - 75 = -30. Suppose 3 + 6 = -g*d. Is (-2 - d)/(-4 - (-23673)/5919) composite?
False
Let b(u) = -u**3 + 2*u. Let m(l) = -5*l - 13. Let i be m(-3). Let a be b(i). Is a/2 + 14707/7 a composite number?
False
Let u(x) = 186*x + 4 + 21 - 12*x + 14*x. Is u(8) a composite number?
True
Suppose -6*z = 5*u - 3*z - 12, -7 = -4*u - 5*z. Let v(t) = -718*t + 5. Let l be v(u). Let q = -708 - l. Is q prime?
False
Suppose -26*y + 342 = -17*y. Is 38/y - (296 + 2)*-4 composite?
False
Let p(j) = -231*j - 35. Let f(z) = z**2 - 2*z - 19. Suppose 5*n = 5*r + 45, 6 = -2*n - 6*r + 2*r. Let o be f(n). Is p(o) a composite number?
True
Let h(f) = 52*f + 21. Let i be h(-6). Let v be i*(-2 + 0)/(-4 + -2). Let u = v + 404. Is u prime?
True
Let g(j) = j**3 - 6*j**2 + 3*j + 8. Let w be g(5). Let z(a) = 737*a**2 + 2*a + 5. Let m be z(w). Suppose 4*h - k - m = 0, 2*k + 0 = -2. Is h a composite number?
True
Suppose 0 = 9*h + 239829 - 367972 - 1400336. Is h a composite number?
False
Let g = 56691 + -20044. Is g a prime number?
False
Let x(k) = -2 - 66 - 34 + 11 - 18*k. Is x(-19) a composite number?
False
Suppose 0 = -47*v + 1523562 + 99536. Let l = v - 18851. Is l prime?
True
Let d(o) = 2*o**3 - 24*o**2 + 18*o - 20. Let g be d(11). Is g/(-96) - 33043/(-3) a composite number?
True
Suppose 5*x + 16 = 2*u, -4*u + x = -5*u + 1. Let n(j) = 60*j**3 + 3*j**2 - j - 2. Let h be n(u). Let k = 2979 - h. Is k composite?
True
Suppose 0*o - 3*o = -4*y + 933, 3*o - 3*y = -936. Let m be 2*1*(-2)/((-12)/o). Let n = 22 - m. Is n composite?
False
Let m = 9155 + 3600. Suppose -m = -12*l + 20209. Is l a prime number?
False
Suppose 0 = -6*y + 58 - 10. Suppose -5*h + 16 = -2*n, 5*h - 2*n - y = 4*h. Suppose -h*m = -4*i - 3170, 6340 = m + 3*m + 5*i. Is m a prime number?
False
Let s(r) = -167*r - 63. Let n(u) = u - 2. Let j(z) = -n(z) - s(z). Is j(6) a prime number?
True
Let o(p) = -91363*p - 1888. Is o(-3) composite?
False
Suppose 6*m - 33*q - 272679 = -28*q, q = 3*m - 136344. Is m a prime number?
False
Let r(q) = 8 - q**2 + 4*q**3 - 65*q + 85*q - 24*q. Let m = 7 + -2. Is r(m) prime?
True
Is 72421/15*(8 + 7) a composite number?
False
Suppose 5*j - 2037 = -c + 857, 2*c + 3*j - 5774 = 0. Suppose -c = 3*f + 1319. Let z = -604 - f. Is z composite?
False
Let o be (-20)/25 - (-540)/50. Is 4/o + 4285/75*27 prime?
True
Suppose -4*k | {
"pile_set_name": "DM Mathematics"
} |
2 + 15*o + 2. Let y be m(-15). Solve -y = -d - d for d.
1
Suppose -5*b + 8 = -b. Let n = 16 + -8. Solve -2*s - n = b*s for s.
-2
Let d(t) = t + 7. Let p be d(-6). Let a = -18 + 21. Solve -2*r = p - a for r.
1
Suppose -4*j - 1 = z - j, -4*j = 3*z - 12. Solve -5*f - z - 12 = 0 for f.
-4
Let z be (-38)/(-12) + 13/(-78). Let t be (0/z)/(-2 - -3). Solve -5 = c - t*c for c.
-5
Let s = -30 + 30. Solve s = k + k for k.
0
Let t = 4 - -1. Solve -t = 2*c + 3 for c.
-4
Let z = -26 - -41. Solve -3*d = z - 0 for d.
-5
Suppose 4*a - 3*l - 12 = 0, l - 1 = 3*a - 5. Let f(v) = v**2 + 4*v + 4. Let i be f(-3). Let y be 1*(a + 0/i). Solve 4 = k - y for k.
4
Suppose 73 = 5*d - 12. Suppose 2*v = 3*v + 5*x - d, 13 = 5*v + x. Solve -m = -v*m + 4 for m.
4
Let o(i) = -i**3 - 4*i**2 + 4*i - 3. Let d be o(-5). Let p = -50 + 53. Solve y = -d*y + p for y.
1
Let z(y) = -y**3 - 12*y**2 - 20*y + 2. Let h be z(-10). Solve h*u - 12 = -u for u.
4
Let y be (-1)/(-1)*(-1 - -1). Solve y = -3*n + n - 2 for n.
-1
Suppose 0 = g + 5*q + 12 + 3, 4*q = -4*g - 12. Let y be 7 + (g/3)/1. Suppose -2*n - y = -2*r - 1, 0 = 3*n - 12. Solve -2*i = -r*i - 15 for i.
-3
Let l = 11 + -7. Solve -u + 15 = l*u for u.
3
Let q(u) = 2*u + 23. Let s be q(-10). Solve -s = -3*f + 6 for f.
3
Suppose -3*r - 12 = -6*r. Let d(h) = h**2 - 2*h - 7. Let t be d(r). Solve -c - 2 + t = 0 for c.
-1
Let z(i) = i**3 - 4*i**2 - 3*i - 6. Let h be z(5). Let d(s) = s**2 - 4*s + 2. Let l be d(h). Solve k = -3 - l for k.
-5
Let q = -37 - 15. Let p be q/(-12) + (-1)/3. Suppose 3*f = -12, -p*d + 2 = -2*d + f. Solve 5*o = -d + 18 for o.
3
Let x be ((-8)/18)/((-2)/9). Suppose 3 + 3 = 3*h. Solve h*f = -x*f - 4 for f.
-1
Let b = -15 + 20. Solve -3 = b*l - 4*l for l.
-3
Suppose 5*p = -2*c + 9, -c + 0*c + 3*p - 12 = 0. Let j be (c/(-1) - 2)/(-1). Let r = 4 + j. Solve 0*y - r*y = -15 for y.
5
Let k = -118 + 121. Solve 0 = -k*j - 2*j + 15 for j.
3
Suppose 3*r = 59 - 14. Solve -f = 2*f - r for f.
5
Let t = 1 + -2. Let b(d) = 4*d**2 + d + 1. Let a be b(t). Suppose -c + 3*p - 6 = 4*c, -2*p + 4 = -4*c. Solve c = -a*j - j for j.
0
Let s(l) = 4*l + 2. Let y be s(2). Let w be 9/(-15) - (-166)/y. Solve a + w = -3*a for a.
-4
Let q(c) = c**3 - 8*c**2 + 8*c - 9. Let a be q(7). Let f = -2 - a. Solve f = 6*s - 2*s - 8 for s.
2
Suppose -4 = x + 1. Let g = x - -13. Solve 0 = 2*m - 0*m - g for m.
4
Let q(r) = r - 9. Let o be q(11). Solve 0*a + a + o = 0 for a.
-2
Suppose -3*d + 0*d = -27. Solve 2*g = -g - d for g.
-3
Let v be 3/9*0 - -4. Suppose 12 = 3*d - 0*d - 2*f, 12 = -v*f. Let j = d + -2. Solve j*h = h for h.
0
Let x = -47 - -63. Solve -x = -3*y - y for y.
4
Let v(s) = -s + 7. Let c be v(4). Solve -c*p + 4 = -5*p for p.
-2
Let o(f) = 45*f - 11. Let s(y) = -22*y + 5. Let i(k) = 6*o(k) + 13*s(k). Let u be 2/(-5 - (0 - 3)). Let t be i(u). Solve 4*r - t = r for r.
5
Let r(q) = -q - 6. Let a be r(-9). Solve -3*u + a = -3 for u.
2
Suppose 2*c + c = -f + 5, 2*f = 2*c + 2. Suppose -t + 75 = 4*t. Let x be (-37)/(-7) - 2/7. Solve x*p + t = f*p for p.
-5
Let x(g) = g - 3. Suppose 2*p + 4*r = 14 - 0, 4*r + 1 = 3*p. Let t be x(p). Let s be (1 - t) + 4 + 7. Solve -4*d + 0 = -s for d.
3
Let v be ((-4)/10)/(1/(-5)). Solve 3*j - v = -8 for j.
-2
Let a = -140 - -141. Solve 0 = -3*o + 2 + a for o.
1
Let w be 3 - (-2 + 0)*1. Suppose 4*k = -2*r + 14, -2*k + 5*r + 1 = -0. Solve k*u - w = 4 for u.
3
Let c = 16 + -16. Solve c = 3*x + 3 + 9 for x.
-4
Let w = 19 + -16. Solve -4*g + w*g = 3 for g.
-3
Let i = 20 - 20. Solve 0*c + c - 5 = i for c.
5
Let y = -64 + 68. Solve 0*x = y*x - 4 for x.
1
Suppose -3*t - 16 = -7*t. Solve -t*d + 6 + 10 = 0 for d.
4
Suppose -4 = w - 2*n, -9 = 3*w - 0*w - 5*n. Suppose -w - 2 = -x, -38 = -5*a + 3*x. Suppose -6*m + 3*i = -4*m - 10, -3*i = 6. Solve a = m*b - 0*b for b.
5
Let g = -25 - -28. Solve g*k = k - 8 for k.
-4
Suppose -w - 11 = -4*k, -11 = -w - 2*w + k. Suppose -w*x + 3 = -17. Let y = 7 - x. Solve -y*z = z + 16 for z.
-4
Let m be (-4 + (-27)/(-6))*8. Solve 4*o + 0*o = -m for o.
-1
Let u(v) = -4*v - 5 + 2*v + 2*v - v. Let l be u(-10). Solve 2 = 3*a - l*a for a.
-1
Let y = -7 + 10. Suppose 0 = 2*f - 3*f + y. Solve f*x = -x for x.
0
Suppose 0 = -h - 0*h. Suppose q - 3 = -h. Suppose -3*y + q = -v - 0*v, 4 = 4*y. Solve 3 = 3*d - v*d for d.
1
Let j(q) = -q + 1. Suppose -4 - 2 = 3*v. Let k be j(v). Suppose -k*w = -12 - 0. Solve -2*d = -w*d for d.
0
Suppose -6*s = -5*s. Let p = 7 + -1. Let o = -12 - -15. Solve s*v - o*v = p for v.
-2
Let u(c) be the third derivative of -c**4/12 - 4*c**3/3 - 3*c**2. Let v be u(-5). Solve 0 = -3*s + 2*s - v for s.
-2
Suppose 2 = u - 3. Suppose u = 4*a + 1. Suppose -3*v + 27 = -0*v. Solve 5*t = -v - a for t.
-2
Let k = 0 - -28. Suppose 0 = -3*a + 3*j + 48, 3*a - 4*j - 18 - k = 0. Solve 5*v - 2 = a for v.
4
Suppose -16 = -2*u + 4*a, -2*u = -7*u + 4*a + 28. Solve -c + 5 = u*c for c.
1
Let c(b) = 6*b**2. Let a be c(-1). Solve d = -d + a for d.
3
Let t be (-40)/(-260) - (-308)/26. Solve 2*c = -2*c + t for c.
3
Suppose -15 = 3*t - 4*t + 2*z, -4*z = 3*t - 5. Suppose -3*x + 5*m + 35 = 0, -x - 4*x = 5*m - 45. Solve x = -2*o + t*o for o.
2
Let i(j) = 2*j**3 + 1. Let f be i(1). Solve -l - f = -4 for l.
1
Let a be 9/12 + 77/4. Solve 3*o + a = -2*o for o.
-4
Let c(g) = -g**2 + 4*g. Let u be c(4). Suppose r + u = 4. Solve -r = -3*m + 11 for m.
5
Let v(p) = -8*p**3. Let q be v(-1). Suppose -4*l + 15 = 3. Solve h - q = -l*h for h.
2
Let k be 2 - (4 + -2)/(-1). Suppose -3*q = -k*q + 5. Solve -q*j - 3 = 2 for j.
-1
Suppose -2*s - 3*s + 10 = 0. Let g be (-10)/4*28/(-5). Solve -s = 4*b - g for b.
3
Suppose -5*r + 30 = 3*u, 0*r - 5*u + 20 = 5*r. Let z = r + 16. Solve h = -4*h + z for h.
5
Let f = -1 + 1. Let n be -1*1 + (5 - 2). Suppose n*b = -f*b. Solve 2*o + 6 + b = 0 for o.
-3
Suppose 0 = -6*j + 3*j. Solve j*y + 20 = -5*y for y.
-4
Suppose -14 = -3*g + w, 0 = -0*g - g + 5*w + 28. Solve 20 = h + g*h for h.
5
Let y be (-12)/(-30) - (-4)/(-10). Let a be y + 2 + (2 - 3). Let v = a + 2. Solve -v*h = h for h.
0
Let o(f) = f**2 - 7*f - 5. Let k be o(8). Let h(v) = -v**3 - v + 0*v**k - 5 + 3*v**2 + 3. Let q be h(2). Solve q = 3*i - 0*i + 6 for i.
-2
Let d(z) = -z - 1. Let u be d(-7). Let b(p) = -p**2 - 13*p - 8. Let t be b(-12). Solve -t*q + 2 + u = 0 for q.
2
Let s = 12 - 3. Solve -s*a = -10*a for a.
0
Let v = 6 - 1. Suppose 0*i + 10 = v*i. Solve 0 = 7*m - i*m for m.
0
Let x(g) = g**3 + 6*g**2 + 6*g + 10. Let y be x(-5). Solve -20 = -5*m + y for m.
5
Let r be 3/12 - 310/(-8). Suppose -9 + 27 = 3*c. Suppose -r = -5*m + c. Solve -1 = -2*n + m for n.
5
Let k be 1 + 2*-1 + -1. Let m be 4*k*(-2)/8. Solve 4*f + m = 2*f for f.
-1
Let x = 18 - 16. Solve -3*n = -10 - x for n.
4
Suppose -3*t = 12, -3*k + 2*t + 0*t + 17 = 0. Suppose -k*n = -8*n. Suppose v - 6*v = n. Solve v = 2*s + 4 - 10 for s.
3
Let d be (-18)/(-8) + 3/(-12). Solve -r - d*r - 3 = 0 for r.
-1
Suppose -6 = h - 0*h - 2*s, 5*h + 3*s = -30. Let w(j) = -j**3 - 7*j**2 - 7*j. Let o be w(h). Solve 0 = 2*x - o*x for x.
0
Suppose 0 = 3*m - 5 - 1. Suppose m*w + 5 = 15. Solve -w*u = -1 + 16 for u.
-3
Suppose -9 = -3*f, -f - 26 = -5*r + 1. Suppose -5*t + 3*y = -73, -2*y = -3*t - 0*y + 44. Suppose 3*s = -2 + t. Solve -o = -s*o - r for o.
-2
Suppose 0 = -2*d - 8*l + 3*l + 10, 4*l - 8 = 3*d. Solve d = 2*h - 1 + 11 for h.
-5
Let f(h) = h - 5. Let q be f(0). Let z = 7 - q. Solve -4*t - z = 4 for t.
-4
Let n = 93 + -91. Solve -o - n*o - 3 = 0 for o.
-1
Suppose -1 = -2*g - 0*o + 3*o, -o = -3*g + 5. Solve 2*r = -g + 6 for r.
2
Let f = 8 - 5. Suppose 0 = 3*v - 6, q + 7 = 3*v + v. Let l be 4*q + 1 + 1. Solve a + l = f*a for a.
3
Suppose 5*n - 28 = g, -5*n + 3*g = 7 - 41. Suppose 4*k - 4*m = -40, -2*k + 2 = -n*m + 37. Let v = k + 5. Solve h + 4*h + 15 = v for h.
-3
Suppose 2*r - 4*n = -10, 3*n - 20 = -0*r - r. Suppose 4*c = -12, 4*j - 3*c - 2 = -r. Let f be 3 + j/((-9)/(-3)). Solve 0 = -f*l - 0 - 10 for l.
-5
Suppose 2*q - 3*q = -32. Suppose 6*y - q = 2*y. Suppose -2*g + 6*g = y. Solve 0 = g*k + k + 15 for k.
-5
Let m(o) = -o - 2. Let h be m(-5). Solve 1 + 2 = -h*a for a.
-1
Let q(h) = 5*h + 37. Let b be q(-7). Solve 0 = b*k - 7*k - 20 for k.
-4
Suppose 2*m + 0*m = u - 6, -3*u - 3*m - 9 = 0. Let o(g) = u*g**2 - 4 + g**2 - 3*g + 2*g. Let n be o(3). Solve -4*f + 2 = -n for f.
1
Let k(j) = 2*j - 11. L | {
"pile_set_name": "DM Mathematics"
} |
7*v = 3*o - 97, -4*v + 140 = 4*o. Suppose -7*n = -o + 4. Suppose -n*s = s - 474. What is the tens digit of s?
7
What is the tens digit of -20*(-17)/255 - 58756/(-6)?
9
What is the hundreds digit of 6/(90/126381) - 2/5?
4
Suppose 3*i = s + 15557, 42*s - 39*s = 4*i - 20746. What is the units digit of i?
5
Let s be -187*(-6 + 6 + -11). Suppose l + v = s, -l + 2081 = -9*v + 4*v. What is the units digit of l?
1
Let r(o) = -27*o - 48. Let p be r(2). Let j = 119 - p. What is the hundreds digit of j?
2
Let j(p) = -p**3 - p**2 + p + 1. Let h(v) = -26*v**3 + 6*v**2 - 4*v - 12. Suppose 12*n = 5*n - 7. Let r(w) = n*h(w) - 6*j(w). What is the units digit of r(2)?
8
What is the ten thousands digit of 17910 - (-10 + 9)*7?
1
Let d be (-4)/((-2)/(-4)*(-11 + 10)). Suppose -d*y + 3846 = 286. What is the tens digit of y?
4
Let o(q) = q**2 + 13*q + 16. Let w be o(-12). Suppose -w*m - 1308 = -2*u, 2*u - m - 1305 = 2*m. What is the hundreds digit of u?
6
Suppose 29338 = 12*x + 418. Let w = x + -1333. What is the thousands digit of w?
1
Suppose -21*f = 10*f - 124. Suppose -884 = -f*r - b, -4*b = 3*r - 4*r + 221. What is the tens digit of r?
2
Let f(s) = -477*s + 3225. What is the thousands digit of f(0)?
3
Suppose -25*t = -34*t + 171. Suppose c = -5, 5*d + t*c - 16*c - 2990 = 0. What is the hundreds digit of d?
6
Let k(a) = a**3 + 7*a**2 + 2*a - 2. Suppose -16 = -4*v - 116. Let i = 20 + v. What is the units digit of k(i)?
8
Suppose w - 11864 = -2*q, 2*w + q - 9900 = 13807. What is the hundreds digit of w?
8
Let k = -41 + 48. Let m = k + -3. Suppose -85 = -n - m*s, -2*s = n - 0*n - 77. What is the units digit of n?
9
Suppose 7*f = 3*f + 480. Let u = f + -23. What is the units digit of u?
7
Let d = -536 + 540. Suppose 0 = 14*w - d*w - 10370. What is the hundreds digit of w?
0
Let o(s) = 241*s**3 - 4*s**2 - 47*s + 71. What is the tens digit of o(5)?
6
Let a = 0 - -4. Let d be ((1 - -1) + 2)*6/a. Suppose d*x - x = -2*u + 175, 2*x = -5*u + 406. What is the units digit of u?
0
Suppose -45*k = -47*k. Suppose k = 14*w - 6*w - 3296. What is the units digit of w?
2
Let m(n) = -n**3 - 46*n**2 + 48*n + 77. Let j be m(-47). Let w be 0 - -2 - (3 + -2). What is the units digit of (w - -157) + 10*12/j?
2
Suppose -5371 = -9*m + 4889. Suppose m = -40*h + 55*h. What is the tens digit of h?
7
Suppose 1089 = -6*m + 3*m. What is the units digit of -1 + 0 + 3 + (-4 - m)?
1
Let h = 3948 + 5098. What is the tens digit of h?
4
Let m = 12116 - 5661. Suppose -1919 + m = 6*u. What is the tens digit of u?
5
Suppose 0 = 3*h - 6*h - 24. Let g(d) = -d**3 - 10*d**2 - 12*d + 8. Let j be g(h). What is the hundreds digit of (104/j)/(0 - (-1)/(-33))?
1
Let a(h) = -5*h**3 - 2*h**2 + 9*h - 10. Let g be a(9). Let c = 2116 + g. What is the units digit of 3 + (4/6)/((-9)/c)?
3
Let r = 2327 + 2307. What is the tens digit of r?
3
Let u(i) be the third derivative of 19*i**6/360 + 19*i**5/120 + 11*i**4/8 - 37*i**2. Let v(n) be the second derivative of u(n). What is the tens digit of v(5)?
0
Let c = 59 + -52. Let b(j) = -2*j + c + j**2 - 2*j + 5 - 3. What is the units digit of b(11)?
6
Let y be -15 + 616/42 + (-5695)/(-3). Suppose 12*t + y = 13670. What is the hundreds digit of t?
9
Let c(z) = -657*z - 69. What is the tens digit of c(-9)?
4
Let i be ((-10)/(-5) - -2)/((-1)/(-326)). Suppose 9*u + 1774 = -i. Let l = 574 + u. What is the hundreds digit of l?
2
Let j be ((-4)/(-10))/((-1)/(-40)) + -3. Suppose -j*g = -1745 - 1271. What is the tens digit of g?
3
Let v = 16475 - 16126. What is the hundreds digit of v?
3
Suppose 0 = -12*d - 3649 - 2507. Let t be 1 - -2*1/2. What is the tens digit of (-2)/(t + (-5)/((-1275)/d))?
7
Let t(h) be the first derivative of -3*h**2 - 68*h - 38. What is the units digit of t(-12)?
4
Suppose h = 5*k + 3698, -1 + 29 = 7*k. What is the tens digit of h?
1
Suppose 85663 = 4*b + 3*b - 64746. What is the units digit of b?
7
Suppose -53562 = -14*h + 106080. What is the hundreds digit of h?
4
Let w = -57 + 155. Let q = 45 + w. Suppose 5*y - 4*y - 2*p = 32, 4*y - 5*p - q = 0. What is the tens digit of y?
4
Suppose 0*h - 1008 = 2*h. Let r = -145 - h. What is the tens digit of r?
5
Suppose -2*z + 2*n = -80600, -5*z - n = 5067 - 206549. What is the thousands digit of z?
0
Suppose 2 = 2*k, 0 = -3*l - k + 48292 - 7215. What is the thousands digit of l?
3
Let p = 634 + 656. What is the hundreds digit of (-1)/2 - p/(-4)?
3
Let g = -211 + 314. Suppose j - 101 + g = 0. What is the units digit of ((-938)/(-9) - -7) + j/9?
1
Suppose 36647 + 18905 = 4*y. Suppose 35*b - 7*b - y = 0. What is the units digit of b?
6
Let g(h) = -17*h**2 + 23 - 3*h + 61*h**2 - 25*h**2. What is the tens digit of g(6)?
8
What is the units digit of 7761*(4 + -3) - -14?
5
Suppose -2*p + 1 = -3*q + 7, 5*q = -3*p + 10. Suppose -3*f - f + 4*c = p, f = -3*c. What is the tens digit of 120/(-3)*(0 + -4 + f)?
6
Suppose 5*s - 20 = 0, -x + 3*x + 8 = 4*s. Suppose 2*u - z = 1202, 366 + 1426 = 3*u + x*z. What is the tens digit of u?
0
Suppose -4*z = -12, 4*q + z - 1 - 10 = 0. Suppose 687 = v + q*k, -3*k - 5 + 17 = 0. What is the hundreds digit of v?
6
Suppose 18999 = -0*b + 3*b + 4*z, 2*z + 25288 = 4*b. What is the hundreds digit of b?
3
Suppose -3*r = 4*n + 17, 2*r + 2*n = -22 + 12. What is the tens digit of ((-13)/r)/(31/3999)?
5
Suppose -309233 = -48*j + 9775. What is the units digit of j?
6
Let y = -2225 + 3849. What is the tens digit of y?
2
Let m = 345 - 347. What is the units digit of -1 + -1 + (m - (-672 + 3))?
5
Suppose -4470 = -3*w - 3*w. Suppose -5*n - m + 938 = 0, -w = -4*n + 5*m - 4*m. What is the hundreds digit of n?
1
Let v(a) = -a**3 - 3*a**2 + 27*a - 2. Let u be v(-7). Suppose 0 = b - x - 486, u = -3*x - 4. What is the hundreds digit of b?
4
Suppose -27*m + 169018 = -0*m - 65855. What is the units digit of m?
9
Suppose -4*b + 113*p - 115*p = -68, -4*b = 3*p - 70. Suppose 29 - 5 = -4*z. Let y = z + b. What is the units digit of y?
0
Suppose -12881 = -3*f - 2*m, 54*f - 5*m = 49*f + 21435. What is the hundreds digit of f?
2
Suppose 0 = -4*b - 2*q + 28806, -3*q + 13549 = 5*b - 22456. What is the units digit of b?
4
Let z = -234 - -208. What is the tens digit of -20*3*z/6?
6
Let t be (-23 - -25) + -2 + -1 + 3. Suppose -t*h - 2*u = -698, 2*u + 258 = 2*h - 440. What is the tens digit of h?
4
Let p(k) = -3*k - 5. Let i(y) = 2*y + 3. Let t(x) = -9*i(x) - 4*p(x). Let w be t(-8). What is the units digit of w + 0 - (3 + 2)?
6
Suppose -3*r - 2*p + 73173 = 0, -187*r + 5*p = -186*r - 24408. What is the units digit of r?
3
Suppose 124*w + 32*w = 29*w + 3580638. What is the ten thousands digit of w?
2
Let f be 244*1*(1 + 0). Let x(u) = -82*u + 92. Let w be x(3). Let m = w + f. What is the units digit of m?
0
Suppose d - 3*f - 18243 = 0, -5*f - 230 = -210. What is the hundreds digit of d?
2
Let h be 4/6*(-2 + 28/8). Let r(s) = 6*s**3 + 4*s**2 - 5*s + 3. Let n be r(h). Suppose 2*z = 4*d - 28, -5*z = -7*z + n. What is the units digit of d?
9
Let g = -85190 - -161865. What is the tens digit of g?
7
Let y = 5797 - -4093. What is the tens digit of y?
9
Suppose 0 = -14*p - 4*p + 104236 + 236918. What is the ten thousands digit of p?
1
Let d = 33890 + -10487. What is the tens digit of d?
0
Let b(r) = 75*r**3 - r**2 + 39*r - 263. What is the thousands digit of b(6)?
6
What is the hundreds digit of (-11 - (-475)/38)/(156278/78136 - 2)?
5
Let d(p) = 10*p - 25. Let c be d(4). What is the tens digit of 5387/c + 9 - 4/30?
6
Suppose -2*w + 4*w = w. Suppose -4*o = 0, -z + 2 = -w*o + o. Suppose 0 = -9*f - z*f + 715. What is the units digit of f?
5
Let f be 11/(33/6) + 70/2. Suppose f = 4*w + 33. What is the hundreds digit of w/(-4) + (-5993)/(-52)?
1
Suppose 3*x = 2*o - 0 - 2, 2*o = -2*x + 12. Let c be (-6 + x + -98)*1. Let a = -46 - c. What is the units digit of a?
6
Let d(r) = -3*r**3 - 2*r**2 - 2*r - 381. Let w(m) = -10*m**3 - 6*m**2 - 6*m - 1144. Let c(y) = -16*d(y) + 5*w(y). What is the tens digit of c(0)?
7
Suppose 0 = 64*u + 8704 - 91072. What is the units digit of u?
7
Let k = 589 - 586. Suppose -3*n - 2*n + 65 = -5*f, 0 = k*n - 5*f - 41. What is the tens digit of n?
1
Let l(t) = t**2 + 5*t - 33. Suppose 0 = -4*k + 3*v + 54, -2*v = 4*k - 4*v - 56. What is the units digit of l(k)?
7
Let x be ((-3)/(-3))/(-1 + 280/278). Suppose -3*b + 6*b = 201. L | {
"pile_set_name": "DM Mathematics"
} |
+ 3*q + 19. Is n(-3) a multiple of 11?
True
Let x(g) = 0*g**2 - 2*g**2 - 2*g + g + 3*g**2 - 16. Let p = 311 - 317. Is x(p) a multiple of 26?
True
Let v(w) = -2*w**2 + 5*w + 4. Suppose -14 = -3*p + 1. Let c be v(p). Is (-1 + 16/(-6))/(1/c) a multiple of 7?
True
Suppose 4*d + 30840 = 2*b, 5*b - 44350 = -2*d + 32774. Does 16 divide b?
True
Let t(i) = 345*i + 37. Is t(13) a multiple of 133?
True
Let w(x) = x**2 - 4*x + 7. Let c be w(-18). Suppose -9*s - c = -2239. Suppose 3*h = 4*t - s, 5*t + 4*h - 182 = 42. Is t a multiple of 16?
True
Suppose 0*f + 2*f = -s - 6, s + 18 = -5*f. Let l(p) = 6*p**2 + 2*p + 7. Let a be l(f). Let q = a - -9. Does 13 divide q?
True
Let u(a) be the second derivative of 25/2*a**2 + 10/3*a**3 - 1/12*a**4 + 0 + 24*a. Is u(21) even?
True
Let j be (-14*(-3)/(-8))/((-15)/(-40)). Is 66 a factor of 10020/8 + (-21)/j?
True
Let y(b) = -3*b - 13. Suppose -3*k + 5*w + 5 = -33, w - 26 = -5*k. Let c be y(k). Let s = c + 136. Is 9 a factor of s?
False
Let f(n) = -2*n + 87. Let y be f(3). Let q = 30 + y. Is 24 a factor of q?
False
Suppose -80604 + 2196 = -99*z. Is z a multiple of 21?
False
Suppose 0*b + 8*b = 0. Suppose b = w + 2*j + 1 + 7, -4*w = 5*j + 20. Let m(z) = -4*z + 50. Is 5 a factor of m(w)?
True
Let a = -613 - 625. Let d = 1775 + a. Does 19 divide d?
False
Suppose -4*h = -3*s - 79, -2*h - 6*s = -s - 33. Suppose -32 = -m - 2*j, -m + h = m - 5*j. Is m a multiple of 2?
True
Let h(y) = -26*y + 81. Let r be h(3). Suppose -4*q + r*z = 1362 - 4262, -q = -4*z - 712. Does 26 divide q?
True
Let a(n) = -11*n - n - 7*n - 8 + 30*n. Let r be a(4). Suppose r*u + 42 = 37*u. Does 6 divide u?
True
Is (-240941)/(-153) - (7 + (-390)/54) a multiple of 7?
True
Let w(p) = 218*p + 3. Does 15 divide w(9)?
True
Let c be 138/115*(-20)/(-6). Let h(y) = y**3 - 4*y**2 + y + 1. Let k be h(c). Suppose -k*i + 46 = -149. Is 9 a factor of i?
False
Let r(g) = g**3 - 2*g**2 - 2*g + 9. Let b be r(2). Let v(n) = n**3 - 3*n**2 + 6*n - 5. Is 15 a factor of v(b)?
True
Let x be 30/(2 - 4) - 3. Let j be 4/x - 112/63. Is 4 a factor of j/(-3) - 804/(-36)?
False
Let w(k) = -28*k - k**2 - 59 + k**2 + 20 + 3*k**2. Is 11 a factor of w(18)?
True
Let u be (-8)/3*-21*28/784. Let y(o) = o**3 + o + 5. Let i be y(0). Suppose 1 = -u*b - 5, -i*w = 4*b - 28. Is w a multiple of 8?
True
Suppose 88 = -33*k + 41*k. Let j(r) = r**2 + 8*r - 65. Is 8 a factor of j(k)?
True
Let k = 33195 + -31372. Is 2 a factor of k?
False
Let o be (1 - 57/(-9))*87. Let j = -404 + o. Does 8 divide ((-4)/12)/((-3)/j)?
False
Let o be 4 - 1 - 5 - 22. Suppose 168*l - 181*l = 56680. Does 11 divide l/o - 2/3?
False
Suppose -5*k + 413244 = -14*p + 15*p, -5*k + 3*p = -413268. Is k a multiple of 87?
True
Let n be ((-4)/(-1))/(9/9). Let g(f) = -5*f + 10. Let r be g(n). Let y = 39 + r. Is y a multiple of 29?
True
Let d be 4/(-2) + 3 + 2. Let t = 3 - d. Suppose -u - 2*u + 27 = t. Is u even?
False
Let f(h) = -h**2 - 16*h + 68. Let t = -48 - -28. Let d be f(t). Is 10 a factor of 4 - d/(-32)*-2*64?
False
Suppose -113*c = -116*c + 15. Suppose -1162 = -c*s - 2*n, -3*s = 5*n - 548 - 134. Does 26 divide s?
True
Suppose 3*u - 135 = 450. Suppose 5*f + u = 25. Let r = f + 118. Is 14 a factor of r?
True
Let b(x) = 84*x + 20. Let r(i) = -17*i - 4. Let j(l) = -2*b(l) - 11*r(l). Suppose 4*f = 7*f - 18. Does 7 divide j(f)?
False
Let v(d) = 498*d + 6990. Is 42 a factor of v(17)?
True
Let s(q) = 705*q**2 - 45*q + 459. Does 57 divide s(10)?
True
Let r = 29 + 130. Suppose 2*v - r = 3*p, -26 = -2*v + 2*p + 128. Is 26 a factor of v?
False
Let g(w) = -w**2 + 34*w - 76. Let m = -373 + 389. Is g(m) a multiple of 9?
False
Suppose 3*u - 16056 - 49369 = 30500. Is u a multiple of 12?
False
Let a = 2 - -1. Suppose -417 = -3*z - 4*x, a = 3*x - 6. Suppose -24 = r - z. Does 12 divide r?
False
Let b(g) = -3*g**2 - 567*g + 584. Is 180 a factor of b(-78)?
False
Let r be (5 - 4)/(5/935 + 0). Let o = r - -92. Is o a multiple of 14?
False
Suppose -2568 = -10*h + 1922. Suppose -w + 19*v + h = 20*v, 2*v - 451 = -w. Does 15 divide w?
False
Suppose -8*z = 6 - 46. Let f(o) = 22*o - 3. Is 8 a factor of f(z)?
False
Let b be -8 + (1 - 0)/(17/(-51)). Is (-2)/11 + (-3962)/b a multiple of 17?
False
Let f = 10 + -7. Suppose 0 = f*c - 1 + 61. Does 11 divide (4 + -2)*-10*55/c?
True
Let z = -93 + 250. Suppose 7 - z = -10*l. Let m = l + 8. Is m a multiple of 23?
True
Let h be ((-3)/(-6))/((-1)/(-6)). Suppose -28 + 1 = -h*i. Let c(t) = t**3 - 10*t**2 + 12*t - 3. Is c(i) a multiple of 12?
True
Let z be 1 + -6 - (-19 + 10). Suppose 3*r - 211 - 38 = -m, -2*r = -z*m - 180. Is 12 a factor of r?
True
Let c be (215/(-15))/((-1)/18). Suppose -796 = -2*b - c. Let w = -146 + b. Is 14 a factor of w?
False
Suppose -12*z + 9*z = -414. Suppose 14*w - 12*w = z. Suppose 3*a + 125 = n, -3*n = 5*a + w - 374. Is n a multiple of 20?
False
Let y be (45/12)/((-12)/(-80)). Is 27 a factor of (y + -9)/(96/(-52) - -2)?
False
Let b be 517/(-66) + 2 + 2/(-12). Is (2665/30)/(-13)*b a multiple of 20?
False
Let z be 5/(-30) + 2/12. Suppose z = -3*c + 6*c + 2*h - 135, -5*c - 3*h = -224. Let s = 1 + c. Is 13 a factor of s?
False
Let v = -167 + 172. Suppose -3*d + 984 = v*n, 3*d - 24*n - 984 = -26*n. Does 48 divide d?
False
Let a(z) = 12*z + 24. Let b be a(-6). Let i = b + 51. Is (5/i)/((-10)/(-810)) a multiple of 27?
True
Suppose -4*a - 18 + 82 = 0. Suppose 0 = -8*n + a*n - 2040. Does 51 divide n?
True
Let h be ((-598)/(-8))/((-4)/(-16)). Let i = 2101 + -2313. Let d = i + h. Is d a multiple of 41?
False
Does 10 divide 8152 + -1 + (-517)/47?
True
Suppose -4*t = -4*y - 47604, 203*y - 23820 = -2*t + 208*y. Is t a multiple of 16?
False
Let p(w) = -467*w - 805. Is 7 a factor of p(-13)?
False
Let u(r) = -5*r**2 - 247*r - 38. Does 24 divide u(-11)?
False
Let g be ((-169)/(-52))/(1/(-8)). Is 19 a factor of 2/(-6)*(g + -1855)?
True
Let t = -3068 - -3228. Is 40 a factor of t?
True
Let n(s) = 6*s - 62. Let u be n(12). Suppose 0 = -4*m - u + 110. Is 2 a factor of m?
False
Suppose 4*h - 29656 + 5713 = 3*w, 3*w = -3. Is h a multiple of 133?
True
Suppose 5*k - 15 = 2*w, -3*w - 7 - 5 = 3*k. Let f(z) = 16*z + 7. Let d(c) = 14*c + 5. Let l(j) = 5*d(j) - 4*f(j). Is 2 a factor of l(k)?
False
Let r(x) = -515*x - 3354. Is r(-18) a multiple of 17?
True
Let d(j) = 2*j - 20. Let z = 65 - 55. Let b be d(z). Suppose b = 3*o - 94 - 176. Is 15 a factor of o?
True
Let s be (-2945)/(-76) - -6*1/(-8). Suppose m = s + 112. Does 10 divide m?
True
Let r(s) = -s**3 - 7*s**2 - 43*s - 527. Is 26 a factor of r(-17)?
True
Let d(c) = -c**2 - 4*c + 34. Let z be d(-8). Let a(y) = 33*y**z - 9*y**2 - y + 63*y**2. Is a(-1) a multiple of 22?
True
Let s = 286 + -282. Suppose -s*p - b - 400 = -6*p, 4*p - 800 = 4*b. Does 9 divide p?
False
Let x(o) = -6*o**3 - 6*o**2 - 22*o - 62. Let z be x(-5). Suppose 1 = g, -5*h + 861 = -g - z. Does 11 divide h?
False
Let a = 115 + -111. Is 18*((-160)/(-15) - a) a multiple of 15?
True
Let g(d) = -26*d + 16. Let f be (-1 - -1)*(-23)/46. Is 3 a factor of g(f)?
False
Suppose -253 = -l + 9*i - 4*i, 5*i + 521 = 2*l. Let m = 474 - l. Does 49 divide m?
False
Suppose 18648 + 420 = 7*q. Suppose -6*l = -q - 1926. Does 27 divide l?
False
Let w be 2*(1/(-1) + 844). Suppose -w = -q - 555. Is q a multiple of 39?
True
Suppose 17*j = 22*j - 1860. Let x = -295 + j. Does 9 divide x?
False
Let k = -3725 + 6309. Does 3 divide k?
False
Let d(t) = 381*t + 4817. Is d(-12) a multiple of 3?
False
Let k = 123 + -297. Let d be 24*((-9)/(-72))/(2/(-204)). Let v = k - d. Does 33 divide v?
True
Let i be (4/(-3))/(2 - 32/12). Suppose -204 = -5*b + 2*q, 1 + i = q. Suppose b = 4*j - 30. Is j even?
True
Let q(i) = i**3 + i**2 - i + 17. Let j be q(0). Suppose 4*k + 15*k = 2*k. Suppose k*w = w - j. Is w even?
False
Let a = -2 + -1. Suppose -27130 = -2*v - 27136. Is 3 a factor of v - (1 + (a - 16))?
True
Let b(v) = -71*v - 416. Does 9 divide b(-12)?
False
Suppose -132 = -9*k - 2*k. Suppose -k*r + 2725 + 371 = 0. Let u = -114 + r. Does 24 divide u?
True
Suppose -9*k = -5*k - 4*r - 24264, -18201 = -3*k + 4*r. Is k a multiple of 47?
True
Is -103293*12/(-36)*42/18 a multiple of 23?
True
Suppose 11*m = -2*m - 2210. Let j = -131 - 123. Let r = m - j. Does 12 divide r?
True
Let u(v) = 8*v**3 + 14*v**2 + 6*v - 12. Let l(d) = 3*d**3 + 5*d**2 + 2*d - 4. Let s(t | {
"pile_set_name": "DM Mathematics"
} |
y(j) = -8*j + 384. Calculate 5*o(f) - 3*y(f).
-f - 192
Suppose 4*l - 20 + 4 = 0, 3*v - 18 = -3*l. Let g(i) = -9*i - 3. Let t(b) = b - 11. Let s(f) = 5. Let p(d) = 9*s(d) + 4*t(d). Give v*g(y) + 5*p(y).
2*y - 1
Let r(k) = 48*k - 33. Let q be -1 + 3*(-1 - -2). Let u(w) = 7417 - 3708 - 3707 - 3*w. What is q*r(d) + 33*u(d)?
-3*d
Let c(w) = -w + 2. Let f(o) = 95 + 87 - 9*o - 239 + 78. Determine -21*c(l) + 2*f(l).
3*l
Let b(c) = c + 1. Let q(z) = -10*z + 5. Let s(k) = -17*k + 5. Let f(h) = -5*q(h) + 4*s(h). Determine 5*b(d) + f(d).
-13*d
Let a(r) = 246*r - 4. Let m(i) = -2*i - 1. Determine a(v) - 5*m(v).
256*v + 1
Suppose 0 = -5*c - r + 17, -2*c + 17 = 3*r - 6*r. Let n(x) = 25*x - 6 - 45*x + 16 + 22*x - 9. Let w(u) = 3*u + 1. What is c*n(v) - 3*w(v)?
-v + 1
Let p(m) = -m - 3. Let u be p(-3). Suppose u = 4*r - 0*r - 28. Let x(j) = j**2 + 24*j - 42*j + 17*j. Let c(n) = 2*n**2 - 2*n. Calculate r*x(v) - 3*c(v).
v**2 - v
Let r = -7 - -1. Let z(o) = -7*o + 1. Let n be ((-6)/4)/((-9)/30). Let k(y) = 47 - 8*y - 24 - 22. Determine n*k(t) + r*z(t).
2*t - 1
Let d(j) = -24*j**2 + 6*j + 6. Let a(w) = w**2 + 29403*w - 29402*w + 6 - 5 - 2*w**2. What is -6*a(f) + d(f)?
-18*f**2
Let g = -24 + 68. Let l(k) = 0 - 4 + 48*k - g*k. Let i(s) = -s + 1. What is 7*i(y) + 2*l(y)?
y - 1
Let q(f) = 33*f + 5. Let i(h) = -11*h - 2. What is -7*i(o) - 2*q(o)?
11*o + 4
Let x(u) = u + 1. Let o be (-35)/(-7)*-1 - -8. Let m(n) = -7*n - 2. Calculate o*m(p) + 6*x(p).
-15*p
Let h(v) = -3*v**2 + 4*v - 5. Let d(b) = 10 - 77*b - 1 + 74*b + 7. Let u be d(4). Let y(n) = 6*n**2 - 7*n + 9. Determine u*y(q) + 7*h(q).
3*q**2 + 1
Let f(g) = 3*g**2 + 7. Let a(n) be the second derivative of -n**4/4 - 3*n**2 + n. Let z be (1 - 3)*(-3*12/9 + 2). What is z*f(v) + 5*a(v)?
-3*v**2 - 2
Let h(b) = 6*b + 2. Let i = -29 + 18. Suppose -6 = -35*v + 36*v. Let o(c) = -3*c - 1. Give i*o(a) + v*h(a).
-3*a - 1
Suppose -4*s - 7 - 10 = -m, 0 = -s + 5*m - 9. Let q be (-10)/(-4) - 9/6. Let h(b) = 3*b**2 - 6*b + 4. Let z(y) = y**2 - y + 1. Determine q*h(t) + s*z(t).
-t**2 - 2*t
Let d(t) = -114*t**3 - 2*t**2 + 4*t - 6. Let x(a) = 341*a**3 + 5*a**2 - 11*a + 17. Give -11*d(p) - 4*x(p).
-110*p**3 + 2*p**2 - 2
Let p(h) = 30*h + 8. Let j(a) = 29*a + 9. Give 5*j(d) - 6*p(d).
-35*d - 3
Let m(u) = u**2 + u + 1. Let a(h) = h**3 - 35*h**2 - 37*h + 32. Let y be a(36). Let n(r) = -6*r**2 - 6*r - 4. Determine y*m(i) - n(i).
2*i**2 + 2*i
Let g(w) = w**2 - w + 1. Let x(d) be the third derivative of d**3 - 1/4*d**4 + 0*d + 18*d**2 + 0. Give 6*g(s) - x(s).
6*s**2
Let i(x) = x**3 + 7*x**2 - 13*x + 14. Let m(h) = h**3 + 6*h**2 - 11*h + 12. Let o(j) = -6*i(j) + 7*m(j). Let k(v) = 2*v**3 + 2*v. Determine -2*k(t) + 6*o(t).
2*t**3 + 2*t
Let p(h) be the first derivative of h**2 + 17*h + 155. Let a(w) = w + 8. Determine -5*a(f) + 2*p(f).
-f - 6
Let w(i) = -4*i**3 - 11*i**2 + 9*i + 27. Let q(j) = 2*j**3 + 6*j**2 - 5*j - 14. Give 5*q(n) + 3*w(n).
-2*n**3 - 3*n**2 + 2*n + 11
Let v(b) = -15*b**3 - 21*b**2 + 37*b + 10. Let y(w) = 10*w**3 + 15*w**2 - 25*w - 7. Calculate 5*v(z) + 7*y(z).
-5*z**3 + 10*z + 1
Let t(j) = j**2 + 7*j + 10. Let k(s) = -s**2 - 7*s - 11. What is -4*k(z) - 5*t(z)?
-z**2 - 7*z - 6
Let x(z) = 12*z - 2. Let j be x(2). Let k = j - 29. Let w(h) = 2*h + 2. Let u(p) = -10*p + 1 - 4*p + 15*p. Calculate k*u(a) + 4*w(a).
a + 1
Let n(p) = -4*p**2 + 2*p**2 - 2*p**3 - 105*p + 99*p. Let y(u) = -u**2 - u. Determine n(w) - 4*y(w).
-2*w**3 + 2*w**2 - 2*w
Let r(s) = 3*s**3 + 8*s**2 - s**2 + 6*s - 4*s**3. Let u = 18 + -12. Let j = u + -12. Let i(n) = n**3 - 6*n**2 - 5*n. What is j*i(g) - 5*r(g)?
-g**3 + g**2
Let t(x) = x**2 - x - 1. Suppose -74*c = -185 - 259. Let k(n) = -5*n**2 + 6*n + 4. Calculate c*t(p) + k(p).
p**2 - 2
Let y(q) = q**3 - q**2 + 3. Let n be y(0). Let b(u) = 7*u + 7. Let o(c) = c + 1. Let h(x) = 3*b(x) - 24*o(x). Let s(j) = -2*j - 3. Determine n*h(a) - 4*s(a).
-a + 3
Let l(a) = a**2 - a + 68. Let v(t) = 4*t**2 - 2*t + 206. What is 7*l(m) - 2*v(m)?
-m**2 - 3*m + 64
Let s = 244 - 239. Let r(g) = 6*g - 9. Let n(u) = -7*u + 10. What is s*r(z) + 4*n(z)?
2*z - 5
Let u(t) = 63*t**2 - 14*t. Let g(w) = -22*w**2 + 5*w. Give 8*g(s) + 3*u(s).
13*s**2 - 2*s
Let b(h) = 2*h**3 + 3*h**2. Let c(p) = -p - 10. Let l be c(-9). Let u(i) = -i**2. Suppose -102 = 6*g + 102. Let a = 31 + g. What is a*u(r) + l*b(r)?
-2*r**3
Let j(z) = 2*z**2 + z - 2. Suppose 1 + 1 = d. Suppose -2*f = -f - d. Let m be j(f). Let n(h) = 6*h - 2. Let b(x) = x. Determine m*b(u) - n(u).
2*u + 2
Let n(y) = -8*y - 12. Let v(u) = u + 1. Let p = 41 + -42. Let z be (5 + p)*25/10. Determine z*v(d) + n(d).
2*d - 2
Let i(y) = -6*y**3 + 4*y**2 - 5*y. Let o(n) be the second derivative of n**5/4 - n**4/4 + 2*n**3/3 + 5*n - 6. Determine -4*i(a) - 5*o(a).
-a**3 - a**2
Let u(y) = -8*y**3 - 2*y + 43. Let n(s) = -19*s**3 - 4*s + 88. Calculate -2*n(q) + 5*u(q).
-2*q**3 - 2*q + 39
Let r(u) = -2*u**3 - 4*u**2 + 4. Let t = -19 + 22. Let s(y) = -3*y**3 - 3*y**2 + 3. Give t*r(g) - 4*s(g).
6*g**3
Let x(k) = -35*k - 56. Let n(o) = 30*o + 55. What is 5*n(t) + 4*x(t)?
10*t + 51
Let b(a) be the second derivative of -a**3/6 - 6*a. Let p be (-2 + -124)*1/(-2). Let w(z) = 29*z - p*z + 31*z. Determine 5*b(q) - 2*w(q).
q
Let z be 80/(-35) + (-4)/(-14). Let w be 1 - 1 - z/1. Let d(h) = 2*h + w*h - 5*h + 4*h. Let f(c) = -6*c. Give 9*d(n) + 5*f(n).
-3*n
Suppose -2*m - 7 = -m. Let w(b) = 2*b**3 - 4*b - 3. Let y(j) = -6*j + 141. Let z be y(24). Let c(a) = -4*a**3 + 8*a + 7. Give m*w(i) + z*c(i).
-2*i**3 + 4*i
Let z(y) = -11*y + 1. Let h(l) = -13*l + 2. Determine 2*h(w) - 3*z(w).
7*w + 1
Let t(b) = 12*b**3 - 6*b**2 - 2*b - 2. Let d(q) = 60*q**3 - 31*q**2 - 11*q - 11. What is 2*d(x) - 11*t(x)?
-12*x**3 + 4*x**2
Let l(m) = -7*m**3 + 7*m**2 - 4*m + 11. Let s(v) = 4*v**3 - 4*v**2 + 3*v - 6. What is 6*l(o) + 11*s(o)?
2*o**3 - 2*o**2 + 9*o
Let g(q) = -6*q**2 + 4*q + 8. Let m(l) = 2*l**2 - l - 3. Calculate -3*g(i) - 8*m(i).
2*i**2 - 4*i
Let m(o) = -2*o - 2. Let b(u) = 4*u + 4. Let h be (-2)/(-2) + 75 + -89. What is h*m(n) - 6*b(n)?
2*n + 2
Let k(u) = -4*u**2 - 7*u - 6. Let d(h) = -1 - 2 - 2 + 6. Let j(s) = -6*d(s) - k(s). Let t(a) = -3*a**2 - 5*a. Calculate -5*j(c) - 7*t(c).
c**2
Let w(c) = -2*c**2 + 3*c - 2*c**2 + 1133 - 1131. Let i = -2 + 0. Let j(y) = 9*y**2 - 6*y - 5. What is i*j(z) - 5*w(z)?
2*z**2 - 3*z
Let n(j) = -3*j**3 - 17*j**2 - 6*j + 20. Let p be (-2 + (-27)/2)*2. Let m = 25 + p. Let c(h) = -h**3 - 6*h**2 - 2*h + 7. Determine m*n(y) + 17*c(y).
y**3 + 2*y - 1
Let s(b) = 3*b**2 + 4*b. Let q(y) be the third derivative of y**5/15 + 5*y**4/24 + 148*y**2. What is 4*q(f) - 5*s(f)?
f**2
Let g be (-5 - -4) + 1 + -6. Let h(n) = -5*n**3 + 9*n**2. Let p(y) = 4*y**3 - 8*y**2. Calculate g*p(k) - 5*h(k).
k**3 + 3*k**2
Let b(z) = -71*z + 29. Let l(d) = 35*d - 13. What is -4*b(n) - 9*l(n)?
-31*n + 1
Let g(k) = 4 + 246*k**2 - 3 - 253*k**2. Let w(t) = 8*t**2 - 1. Let d = -20 + 14. What is d*w(u) - 7*g(u)?
u**2 - 1
Let n(f) = -f - 1. Let j(v) be the second derivative of 2*v**3/3 + 10*v**2 - 9*v. Let a be j(-6). Let y(z) = 6*z + 4. Let l = -6 - -5. Give a*n(u) + l*y(u).
-2*u
Let f(k) = -21*k - 9. Suppose 5*c - 6 = 9. Let q(a) = -5 + c - 3*a - 2*a. Let g = 7858 + -7867. Give g*q(y) + 2*f(y).
3*y
Let l(f) = -4*f - 6. Let y(i) = i + 1. Let t be 14/(-28)*-2*2. Suppose b + t = 0, -1 = 3*k + 5*b + 6. Let x be (-1)/(-2) - 9/(-2). Give k*l(o) + x*y(o).
o - 1
Let q(m) = 253*m - 8. Let a(f) = 507*f - 14. Give 4*a(c) - 7*q(c).
257*c
Let a(d) = 3*d + 2. Suppose 9*y = -7 - 56. Let f(g) = 8*g + 6. Determine y*a(l) + 2*f(l).
-5*l - 2
Let p(n) = 673*n. Let g(i) = 2490773*i. Give -2*g(l) + 7403*p(l).
673*l
Suppose -s = 5*u - 2*s - 8, 0 = -3*u + 5*s + 18. Let f(t) = -2*t + u - t - 5*t - 5. Let v(q) = q + 1. Suppose -l - 1 = 5. What is l*v(h) - f(h)?
2*h - 2
Let r(u) = 7*u. Let n(i) = -i**3 - 4*i**2 - 9*i - 31. Let x be n(-6). Let j = 99 - x. Let m(a) = 0*a - 4*a - 2*a. Give j*m(h) + 3*r(h).
-3*h
Let y(p) = 10*p**3 - 3*p**2 - 7*p. Let z(s) = -29*s**3 + 8*s**2 + 22*s. What is 8*y(m) + 3*z(m)?
-7*m**3 + 10*m
Let s(r) = r**2 + 22*r + 106. Let m be s(-8). Let j(u) = 7*u**3 - u. Let q(l) = -8*l**3 + l. Give m*q(x) - 7*j(x).
-x**3 + x
Let t(k) = 254*k**2 - 38*k - 10. Let z(b) = b**2 - 5*b - 1. Calculate -t(a) + 8*z(a).
-246*a**2 - 2*a + 2
Let r be (- | {
"pile_set_name": "DM Mathematics"
} |
4/11 + 2/11*v - 2/11*v**h = 0.
-1, 2
Let m(t) be the third derivative of -t**6/24 - 5*t**5/18 - 5*t**4/18 - 8*t**3/3 - 12*t**2. Let l(u) be the first derivative of m(u). Solve l(o) = 0.
-2, -2/9
Let v(n) be the first derivative of n**4/4 - 4*n**3/3 - 15*n**2/2 + 18*n - 106. Determine y, given that v(y) = 0.
-3, 1, 6
Let w(z) be the first derivative of 32/27*z**3 - 4/9*z**2 - 4/45*z**5 - 5/6*z**4 + 0*z + 5/27*z**6 + 12. Solve w(u) = 0 for u.
-2, 0, 2/5, 1
Let h be (-96)/352 + 31/33. Factor 0 - h*p**2 + 2*p.
-2*p*(p - 3)/3
Let q = 57306 - 57270. Suppose q*d**3 - 8*d**2 + 40/3 - 124/3*d = 0. Calculate d.
-10/9, 1/3, 1
Let u(i) be the second derivative of 0 - 2/105*i**7 + 0*i**2 - 1/5*i**5 - 2/15*i**4 + 0*i**3 - 8/75*i**6 + 15*i. Factor u(y).
-4*y**2*(y + 1)**2*(y + 2)/5
Let k(b) = b**2 - 6*b + 6. Let m be k(3). Let y be ((-2)/m*-39)/(-1). Find z such that -2*z**3 - 4*z**2 - y + 2*z - z**4 + 4*z**4 + 27 = 0.
-1, -1/3, 1
Let q(c) = -c**2 + c + 1. Let s(t) = -52*t**2 - 2*t + 2. Let z(d) = -4*q(d) + 2*s(d). Factor z(w).
-4*w*(25*w + 2)
Suppose -30 = -2*o - 4*o. Let p be ((-1)/(-5) - 0)/(2/o). Let p*a**3 + 0*a**2 + 1/4*a**4 + 0*a + 0 = 0. Calculate a.
-2, 0
Let z(n) = 48*n**3 - 20*n**2 + 2*n. Let o(v) = -47*v**3 + 18*v**2 - 3*v. Let x(g) = 2*o(g) + 3*z(g). Solve x(c) = 0.
0, 12/25
Let z(k) be the third derivative of 0 - 1/4*k**5 + 0*k - 250/3*k**3 - 25/4*k**4 - 35*k**2 - 1/240*k**6. Determine u so that z(u) = 0.
-10
Suppose 9*h = 5*v + 11*h - 8, -8 = -3*v - 2*h. Solve -2/9*g**5 + 0*g**2 + v - 4/9*g**4 + 0*g + 2/3*g**3 = 0.
-3, 0, 1
Factor 27*g**2 - 47*g**2 + 144 - 16*g + 368*g.
-4*(g - 18)*(5*g + 2)
Let l(u) = -8*u**2 + 40*u + 4. Let q be l(5). Factor 0 - 3/4*i**2 - 1/2*i + 0*i**3 + 1/4*i**q.
i*(i - 2)*(i + 1)**2/4
Solve 1/2*r + 37/8*r**3 + 11*r**2 + 0 - 129/8*r**4 = 0.
-2/3, -2/43, 0, 1
Factor 2/7*a**2 + 12168/7 + 312/7*a.
2*(a + 78)**2/7
Let i = -28 + 32. Suppose 3*f + 2 = i*f + 4*x, f - 5*x - 2 = 0. Factor -1/3 + 1/6*v**f - 1/6*v.
(v - 2)*(v + 1)/6
Let x(d) = 2*d**3 - 9*d**2 - 11*d + 21. Let g be x(5). Let q be g + 11 + ((-1)/(-4) - 2). Let q*o**3 - 1/4*o + 3/4*o**2 - 1/4*o**4 - 1/2 = 0. What is o?
-1, 1, 2
Let -3/4*x - 13/2*x**2 + 4*x**4 + 0*x**3 + 5/2 + 3/4*x**5 = 0. Calculate x.
-5, -1, 2/3, 1
Let f(u) be the second derivative of u**7/189 + 7*u**6/135 - u**5/45 - 13*u**4/9 - 7*u**3/3 + 15*u**2 - 299*u. Let f(d) = 0. What is d?
-5, -3, 1, 3
Factor 5*i - 18 + 20*i**2 - 6 + 5 - 11 + 5*i**3.
5*(i - 1)*(i + 2)*(i + 3)
Let h(c) be the second derivative of -c**4/78 + 33*c**3/13 + 100*c**2/13 + 9*c - 26. What is i in h(i) = 0?
-1, 100
Let j(o) be the second derivative of -o**7/5880 - o**6/420 - 11*o**5/840 - o**4/28 + 2*o**3 + 12*o. Let y(c) be the second derivative of j(c). Factor y(k).
-(k + 1)*(k + 2)*(k + 3)/7
Let l(r) be the third derivative of r**5/60 - 32*r**3/3 - 62*r**2. Factor l(m).
(m - 8)*(m + 8)
Let g(x) be the first derivative of 3*x**5/5 - 93*x**4/4 - 242. Solve g(u) = 0.
0, 31
Let i(v) = -4*v - 1. Let f be i(-7). Let z = -23 + f. Find h such that -6*h**5 + 7*h**5 + 5*h**z - 3*h**4 = 0.
-2, 0
Let f be 140/(-14) + -1 - -14. Factor 8/3 - 4/3*x**f - 4*x**2 + 4/3*x**4 + 4/3*x.
4*(x - 2)*(x - 1)*(x + 1)**2/3
Suppose -27*l - 20 = -74. Factor 5/2 - 15*q - 10*q**3 + 45/2*q**l.
-5*(q - 1)**2*(4*q - 1)/2
Let z = 99 - 86. Determine s, given that -4*s**2 + 0 + 3*s**2 - 4 - 2*s**2 + z*s = 0.
1/3, 4
Factor 2*r + 12*r + 6 + 0*r**2 - 21*r + r**2.
(r - 6)*(r - 1)
Let h = -27 - 171. Let o = 399/2 + h. Determine j so that -o*j + 1 - j**2 + 2*j**3 - 1/2*j**5 + 0*j**4 = 0.
-2, -1, 1
Let w = 43691 - 218447/5. Find d, given that 6/5*d - 1/10*d**3 + 0*d**2 - w = 0.
-4, 2
Let n(o) = 7*o**2 + 3*o + 3. Let m(p) = -64*p**2 - 28*p - 28. Let v(a) = 3*m(a) + 28*n(a). Factor v(x).
4*x**2
Let t = 8579/10730 - -1/2146. Factor -2/5 + t*w - 4/5*w**3 + 2/5*w**2.
-2*(w - 1)*(w + 1)*(2*w - 1)/5
Suppose -16*p + 27*p - 22 = 0. Suppose -20*s**3 - 8*s**2 - 30 - 7*s**p - 5*s**4 + 30 = 0. What is s?
-3, -1, 0
Let u be 14/(-5)*(-260)/104. Let x(z) be the third derivative of 2*z**2 - 1/280*z**u + 0 + 0*z**3 + 1/96*z**6 + 0*z - 1/96*z**4 - 1/240*z**5. Factor x(h).
-h*(h - 1)**2*(3*h + 1)/4
Suppose -25*y + 50*y = 100. Let m(r) be the first derivative of 0*r**3 + 0*r - 1/5*r**2 + 3/10*r**y + 3 + 4/25*r**5. Factor m(z).
2*z*(z + 1)**2*(2*z - 1)/5
Let t = -149 - -597/4. Factor -t*b**4 + b + 0 - 1/4*b**3 + b**2.
-b*(b - 2)*(b + 1)*(b + 2)/4
Let x(v) be the third derivative of v**7/1050 + v**6/300 - 7*v**5/300 + v**4/30 - 43*v**2. Factor x(w).
w*(w - 1)**2*(w + 4)/5
Let r be (450/(-270))/(5/(-6)). Let -8/7*u + 10/7*u**3 - 2/7*u**4 + 16/7 - 12/7*u**r = 0. Calculate u.
-1, 2
Let s(n) be the third derivative of n**8/448 - n**7/56 - 3*n**6/80 + 2*n**2 - 91*n. Suppose s(k) = 0. Calculate k.
-1, 0, 6
Let s be 3/11 + 6/(-22). Let h(i) be the first derivative of 1/3*i**6 - i**2 + s*i**4 - 4/5*i**5 + 4/3*i**3 + 3 + 0*i. Find x such that h(x) = 0.
-1, 0, 1
Let g(l) = -l. Let x(o) = -4*o**2 - 116*o. Let a(f) = 12*g(f) - x(f). Solve a(t) = 0.
-26, 0
Let b(o) = -5*o - 27. Let v be b(-6). Let y(s) be the second derivative of 4/9*s**v + 1/24*s**5 + 0 + 1/3*s**2 + 17/72*s**4 + 3*s. Find h such that y(h) = 0.
-2, -1, -2/5
Let q(w) be the second derivative of w**5/30 - 11*w**4/18 + 32*w**3/9 - 28*w**2/3 - 43*w. Let q(s) = 0. What is s?
2, 7
Solve 1/4*u**2 - 1/2 + 1/4*u = 0 for u.
-2, 1
Let x(j) be the third derivative of 17*j**7/420 + 37*j**6/240 + 23*j**5/120 + j**4/16 - 8*j**2 + 5*j. Factor x(c).
c*(c + 1)**2*(17*c + 3)/2
Find i such that 1476*i**3 - 72*i**4 + 63*i**2 - 400 + 3680*i - 4669*i**2 - 3318*i**2 = 0.
1/6, 1/3, 10
Let v(n) = -n. Let g(o) = 2*o**4 - 26*o**3 + 66*o**2 + 149*o - 196. Let f(r) = 2*g(r) - 10*v(r). Factor f(q).
4*(q - 7)**2*(q - 1)*(q + 2)
Let m be (((-182)/147)/13)/((-480)/14). Let b(n) be the third derivative of -8*n**2 + 0 + 0*n**4 + 0*n + 0*n**3 + m*n**5. Factor b(j).
j**2/6
Let z = -3456 + 6915/2. Factor 3*n - 3*n**3 + 0 - 3/2*n**4 + z*n**2.
-3*n*(n - 1)*(n + 1)*(n + 2)/2
Factor -2*n**3 - 14*n**2 - 26*n + 3*n**3 + 5 + 28*n - 3*n**3 + 9.
-2*(n - 1)*(n + 1)*(n + 7)
Let l(q) be the first derivative of 2*q**5/65 + 2*q**4/13 - 2*q**3/3 - 40*q**2/13 + 96*q/13 - 80. Determine u, given that l(u) = 0.
-4, 1, 3
Let n(s) be the third derivative of s**7/315 + s**6/90 - s**5/30 - s**4/9 + 4*s**3/9 - s**2 - 15*s. Suppose n(k) = 0. Calculate k.
-2, 1
Let g(t) be the third derivative of -t**6/18 + 7*t**5/30 - t**4/3 - 4*t**3/3 + 6*t**2. Let k(s) be the first derivative of g(s). Factor k(q).
-4*(q - 1)*(5*q - 2)
Let z be (-2 - -18) + 0 + 3. Suppose 5*a + 4*b - 4 - z = 0, 7 = a + 2*b. Factor -3*p**2 + 3 - 17*p + a - 4 + 12*p.
-(p + 2)*(3*p - 1)
Let j(a) = 147*a**2 + 741*a + 33. Let u(k) = 588*k**2 + 2964*k + 131. Let w(z) = -11*j(z) + 3*u(z). Solve w(t) = 0 for t.
-5, -2/49
Let v(b) = 9*b**3 - 8*b**2 - 11*b - 6. Let d(l) = 19*l**3 - 16*l**2 - 20*l - 12. Let r(a) = 4*d(a) - 9*v(a). Factor r(n).
-(n - 3)*(n + 1)*(5*n + 2)
Let q be (-9 + 9)*(9/(-6) - -1). Let g(m) be the third derivative of 1/390*m**5 + q*m**4 + 0*m**3 + 1/780*m**6 + m**2 + 0*m + 0. Factor g(z).
2*z**2*(z + 1)/13
Let s(z) be the third derivative of -1/525*z**7 + 0*z + 1/60*z**4 - 3*z**2 - 1/300*z**6 + 1/150*z**5 + 0*z**3 + 0. Let s(h) = 0. What is h?
-1, 0, 1
Suppose 92*c - 10 = 90*c. Let d(k) be the second derivative of -1/90*k**c - 5*k + 1/54*k**4 + 2/27*k**3 + 0 + 0*k**2. What is s in d(s) = 0?
-1, 0, 2
Let b(l) be the second derivative of -2*l**7/21 + 4*l**6/15 - 2*l - 15. Find k such that b(k) = 0.
0, 2
Let q = -9/188 - -1531/564. Suppose q*k - 2/3*k**3 - 16/3 + 4/3*k**2 = 0. Calculate k.
-2, 2
Suppose -386 = 3*t - 119. Let g = 359/4 + t. Determine n so that 1/4*n**3 - g*n**2 + 3/4*n - 1/4 = 0.
1
Suppose 0 = -3*o + 4*x - 5*x + 23, 2*x = 3*o - 26. Let h be (1/(-4))/(3/o) + 1. Factor 1/3*z**2 + 0 + 1/3*z**3 - 1/3*z - h*z**4.
-z*(z - 1)**2*(z + 1)/3
Let b(m) be the third derivative of m**9/16632 - m**8/9240 - m**7/2310 + m**3/6 + 14*m**2. Let n(l) be the first derivative of b(l). Factor n(z).
2*z**3*(z - 2)*(z + 1)/11
Solve 0 + 16/3*m**2 + 0*m - 2/3*m**4 + 14/3*m**3 = 0.
-1, 0, 8
Suppose 5*w - 1292 = 123. Let f = 1983/7 - w. Factor 0 - 2/7*y**3 + 2/7*y**5 + 2/7*y**4 - f*y**2 + 0*y.
2*y**2*(y - 1)*(y + 1)**2/7
Let o(q) be the thi | {
"pile_set_name": "DM Mathematics"
} |
2*z**3 + 2*z**3 - 5 - z**3. Let x be i(-4). What are the prime factors of ((-135)/(-6))/x*-2?
3
What are the prime factors of 4/26 + (-362)/(-13)?
2, 7
Let c = 63 + -40. Suppose -4*h + 20 = 0, -3*h + c = -2*r - 10. What are the prime factors of 3/(r/(-4))*6?
2
Suppose 3*z - 15 = 42. List the prime factors of z.
19
What are the prime factors of 219/12 - 1/4?
2, 3
Suppose 0 = -21*d + 8*d + 1378. List the prime factors of d.
2, 53
Let t(b) = -b**3 - 6*b**2 - b + 4. Let d be t(-6). Suppose -f = -3*f - d. Let r(c) = c**2 + 2*c - 7. List the prime factors of r(f).
2
Let w(u) = -u**2 + 13*u - 4. Let s be w(12). Let c = 18 + s. What are the prime factors of c?
2, 13
Let i be (-1 - -2)*7 + -2. Suppose 5*b = 3*t + 34, -4*b - 4*t = t - i. List the prime factors of b.
5
Let p(i) = i - 11. Let l be p(11). Suppose l*k = 4*b + 4*k - 132, -b - 5*k + 13 = 0. List the prime factors of b.
2, 19
Let r(i) = 43*i**3 + 7*i**2 - 2*i - 11. Let w(p) = -21*p**3 - 4*p**2 + p + 6. Let o(q) = -6*r(q) - 11*w(q). List the prime factors of o(-1).
2, 7
List the prime factors of -3*(-12)/(-9) - (1 - 132).
127
Let v be ((-6)/5)/((-6)/20). Let l = 34 + -10. Suppose -v*b + 0 = -l. What are the prime factors of b?
2, 3
Suppose -f - 2*f = 0. Suppose f*p + 3 = p. What are the prime factors of p?
3
Let c(h) = -6*h + 9. What are the prime factors of c(-6)?
3, 5
Suppose 0 = -6*i + 2*i. Suppose -3*m + 3*j = -i*m - 3, 0 = 3*m + 5*j + 37. Let k = m - -19. What are the prime factors of k?
3, 5
Suppose 63*b = 59*b + 112. What are the prime factors of b?
2, 7
Suppose 2*u - 3*z = -12, -2*u - 3*u - 5*z - 30 = 0. Let n = u - -10. Suppose 20 = 4*i - n. What are the prime factors of i?
2, 3
Let u = -9 - -12. What are the prime factors of (-2)/(2/(-9)*u)?
3
Let t(p) = -p**3 + 4*p**2 + p - 2. Let y be t(2). Suppose -13*o + y*o = -75. List the prime factors of o.
3, 5
Let r(c) = 12*c - 20. List the prime factors of r(8).
2, 19
Let u(r) = 7*r**3 - r**2 + 6*r - 10. Let j(k) = -6*k**3 + 2*k**2 - 6*k + 9. Let v(w) = 6*j(w) + 5*u(w). What are the prime factors of v(5)?
2, 3
Let f(u) = u**2 + 1. What are the prime factors of f(-2)?
5
Suppose -3*r = -4*i + 31, -3*i - 3*r = -5*i + 23. Suppose 0*h + i*u - 24 = 2*h, 87 = -5*h + u. What are the prime factors of (-174)/h + (-2)/3?
3
Suppose 0 = -5*s + 4*g + 131, 0 = -0*g - g - 4. List the prime factors of s.
23
Let w(r) = r**3 - 3*r**2 + 3*r. Let z be w(2). Let h = -1 - -7. Let d = h - z. List the prime factors of d.
2
Let j = 82 - 55. What are the prime factors of j?
3
Suppose 3*j = -4*h + 48 + 89, 0 = -h - j + 34. List the prime factors of h.
5, 7
Let p be 9 + (-6)/((-6)/3). List the prime factors of p - (-6)/(-9)*-3.
2, 7
Let n(g) = 2*g**2 + 6*g - 7. Let r be n(-6). Suppose 3*v - r = -11. List the prime factors of v.
2, 3
Let r(x) = 4*x**3 - x**2. Let z be r(1). Suppose z*o - 4*v - 4 - 2 = 0, -5*o + 45 = 5*v. Let m = o + -4. List the prime factors of m.
2
Let z(t) = t**2 - 2*t + 1. Let m be z(-2). Suppose 2*n - m = -1, -3*n = 3*v - 45. List the prime factors of v.
11
Suppose -4*g = 4*g - 448. List the prime factors of g.
2, 7
Suppose 5*q - 3 = 2. Suppose 15 + q = -4*z. What are the prime factors of 8/10*(-70)/z?
2, 7
List the prime factors of (1441/33)/((-1)/(-3)).
131
Let k = 21 + -13. Let z(s) = s**2 - 6*s - 2. Let t be z(k). Suppose t = -5*b + 69. What are the prime factors of b?
11
List the prime factors of 5968/16 - (1 - -1)*1.
7, 53
Let f(t) = t**3 + t**2. Let x be f(0). Suppose x*w + 3*w - 33 = 0. List the prime factors of w.
11
Let p(a) = -3*a**3 + 4*a + 1. List the prime factors of p(-3).
2, 5, 7
Suppose 2*p - 41 = 31. List the prime factors of p.
2, 3
What are the prime factors of 7/(35/370) + (2 - 1)?
3, 5
Let a(v) = v**2 - 8*v + 8. Let t be a(6). Let n = 8 - t. List the prime factors of n.
2, 3
Let z be (1/1)/(1/5). Suppose -z*h + 32 = 2*w + 6, h = 3*w - 5. List the prime factors of w.
3
What are the prime factors of (2 - -63) + 1*2 - 3?
2
Let y be 4/1 + (-3)/3. Suppose -y*b + 48 = b. Suppose 2*o - 10 = -l - 0*o, -o + b = 4*l. List the prime factors of l.
2
Let p = -5 + 8. Suppose -g + 1 = -p. List the prime factors of g.
2
Let z(w) = w + 2. Suppose -5*d = 0, -6*d + 10 = 5*v - 3*d. Let h be z(v). List the prime factors of 23/h + 3/12.
2, 3
Let j(c) = -2*c - 1. Let p be j(-3). Let v(i) = i - 5. Let u be v(p). Suppose 5*w - z - 38 = u, -2*z - 8 = -2. List the prime factors of w.
7
Suppose 6*n = 9 + 3. Suppose 0 = n*o - o - 2. List the prime factors of o.
2
Suppose -3 - 1 = -2*j. Let s(m) = -m - 4. Let i be s(-7). Suppose -j*l - 51 = -7*l + a, l - i = 2*a. What are the prime factors of l?
11
Let m(q) = -q**2 + 12*q - 9. List the prime factors of m(8).
23
Suppose -4*k = 20, 2*m - 9 = 4*k + 17. Suppose -27 = -5*y + m. List the prime factors of y.
2, 3
Suppose -20 = -3*l + 2*n, -2*l - n - n = 0. Suppose -4*x = -5*z - 106, -4*x + 112 = x + l*z. What are the prime factors of x?
2, 3
Let r be 31/3 + 3/(-9). What are the prime factors of (-3 - -1)*(-65)/r?
13
Let q(z) = 2*z**3 - 3*z**2 + 3*z - 2. What are the prime factors of q(3)?
2, 17
Suppose t + 3 = -5*m + 5, 3*m = -5*t - 12. Let l(a) = -4 + 0*a**2 + 1 - 5*a + a**2. List the prime factors of l(t).
3, 7
Suppose -158 = -4*f + 202. List the prime factors of f.
2, 3, 5
Let p be 6 - 5 - -1*25. Suppose -10 = -4*y + 2. Suppose -a + 4*r = -p, 9*a - 79 = 4*a + y*r. What are the prime factors of a?
2, 7
Suppose -2*w + 15 = 3*w. Suppose -w*p + 40 = -53. List the prime factors of p.
31
Suppose -3 = -3*f, i - 5*i - 3*f = -419. Suppose -4*v = -2*v - i. What are the prime factors of v?
2, 13
Let n be 12/(-10)*(-15)/6. Suppose -n*q + 2 = 8. What are the prime factors of q/(-7) - 225/(-21)?
11
Suppose 4*h + 2*w = 64, w = -2*h - 3*w + 32. What are the prime factors of h?
2
Let b = 4 - 4. Suppose -5*w + 70 = -b*w. List the prime factors of w.
2, 7
Let g(k) = k + 1. Let r(c) = -4*c - 5. Let s(v) = -3*g(v) - r(v). List the prime factors of s(6).
2
What are the prime factors of -6*13/(-2) - (1 - 3)?
41
Let d(z) = -z**3 + 7*z**2 + 9*z - 5. Let x be d(8). Suppose r + 2*f = -x*f + 45, 0 = -3*r - 3*f + 123. Suppose 10*i - 5*i - r = 0. List the prime factors of i.
2
Let x = -1 - -5. Let c = 11 - x. What are the prime factors of c?
7
Let j(n) = 9*n**2 + 7*n - 26. Let g(p) = 5*p**2 + 4*p - 13. Let a(w) = 7*g(w) - 4*j(w). Let y be a(0). Let m = 20 - y. What are the prime factors of m?
7
Suppose g = -2 + 1. Let l = 3 + g. Suppose 5 = l*q - 3*i - 13, -3*i + 12 = 3*q. List the prime factors of q.
2, 3
Let l(o) = -o**2 + 10*o - 10. Let f be l(7). Suppose 2*i - 4*i = -4. Let s = f - i. What are the prime factors of s?
3
Suppose 109 = -3*y + 2*y. Let d = 153 + y. List the prime factors of d.
2, 11
Let c(b) = -4*b - 1. What are the prime factors of c(-5)?
19
Suppose 0 = 2*w - 4, -2*t + 3*w - 161 = -7*t. What are the prime factors of t?
31
Suppose 0 = -2*m + 2*n + 62, -7*n - 60 = -2*m - 6*n. What are the prime factors of m?
29
Let b = 176 - 85. List the prime factors of b.
7, 13
Suppose v = 3*i - 168, 2*v = 4*i - 5 - 219. What are the prime factors of i?
2, 7
Suppose -2*f = 2*b + 2, 5*f = 5*b + 2*f + 21. Let l(h) = -3*h**2 + 3 - 2 + 2*h**2 - 7*h. What are the prime factors of l(b)?
13
List the prime factors of ((-475)/20)/(1/(-4)).
5, 19
Let k(t) = 186*t**2 + 6*t + 5. What are the prime factors of k(-1)?
5, 37
Let j = -24 - -47. Suppose 0*l = -l + j. List the prime factors of l.
23
Let q(x) = -3 - x**2 + 5*x + x + 1. List the prime factors of q(4).
2, 3
Let h(r) = 10*r**2 + r + 1. Suppose -7 = 2*p + 3. Let y = p - -4. What are the prime factors of h(y)?
2, 5
Let l(s) = -7*s + 9. What are the prime factors of l(-4)?
37
Let o(u) = u**2 - 26*u + 70. What are the prime factors of o(32)?
2, 131
Suppose -3*x - 2*p - 7 = 1, -x + 3*p = 21. What are the prime factors of (-1 + -20)*10/x?
5, 7
Suppose 5*h - 10 = -0. What are the prime factors of h?
2
Let n(h) = 6*h**2. Let w(k) be the third derivative of -k**5/60 - k**4/8 - k**3/6 + 2*k**2. Let l be w(-2). List the prime factors of n(l).
2, 3
Suppose 47 = -3*t - 2*o, 0 = -2*o + 3*o + 1. Let x = 1 + -4. Let r = x - t. List the prime factors of r.
2, 3
Let g = -2 + 32. Suppose -g - 50 = -5*f. What are the prime factors of 9/(-2)*f/(-6)?
2, 3
Let c = -134 + 384. List the prime factors of c.
2, 5
Let | {
"pile_set_name": "DM Mathematics"
} |
-18*o. Is c greater than o?
False
Suppose 154*y - 3442 = 562. Which is smaller: -2/115 or y?
-2/115
Let h = -16106 + 27009763/1677. Which is smaller: 1 or h?
h
Let b be (-3)/(-6 - -3)*0. Let j = 714 - 22129/31. Let t = j - 61/186. Is b at least t?
True
Let b = 205 + -347. Let z = 3453 - 3596. Does z = b?
False
Let b = 4341 + -620761/143. Which is smaller: 1 or b?
b
Suppose 3*x - 18 = -12, 4*x = -k - 2. Is k greater than -83?
True
Suppose 4*n - 31 = -8*i + 3*i, 4*i - 32 = -5*n. Let h(y) = 2*y**2 - 5*y - 12. Let m be h(n). Which is smaller: 3/295 or m?
m
Suppose 5*t + 3*r - 364 = 0, -37*r = 2*t - 34*r - 151. Which is smaller: t or 62?
62
Let t = 134.43 + -133.43. Which is greater: 1346 or t?
1346
Let x = -739.266 - -740. Let b = 1.466 + x. Which is bigger: -1/2 or b?
b
Let t(u) = -381*u**3 - 6*u**2 - 14*u + 4. Let b be t(-3). Let x be ((-41192)/b - 4/(-1))/2. Which is smaller: -1 or x?
-1
Let b(h) be the first derivative of h**2 + 27*h + 173. Let r be -10 + (0 - -2 - 1). Let f be b(r). Which is smaller: f or 7?
7
Let p = -150 + 141. Let v be -5 - ((-330)/p)/(-1). Are 33 and v equal?
False
Let a be 5 - (-8806)/(-2037) - (-4)/18*-3. Let z = 0.3 + -0.5. Is z < a?
True
Let l = 155 + -155.77. Let q = l + 0.87. Do -22 and q have the same value?
False
Let l be ((-10)/1925)/(41/(-451)). Does l = 0.294?
False
Let f be 362 - (2 - 2)/(-6 + 5). Let t = 298 - f. Which is smaller: t or -66?
-66
Suppose -x + 179 = -2*m, m - 49 = 5*x - 134. Let i be -2 - 11/(132/m)*-14. Is i at least -106?
False
Let o = 0.313 - 0.373. Is o bigger than 1124?
False
Suppose 2*k - 30 = -4*f, 2*k - 4*f - 15 = 7. Suppose 0 = k*s - 17*s + 564. Is s equal to 141?
True
Let k(g) = -4*g + 13 - 1 + 12 + 0. Let q(s) = -s**3 + 7*s**2 - 4*s - 6. Let i be q(6). Let y be k(i). Which is bigger: 10 or y?
10
Let c be (1/4)/(-9 - 525/(-60)). Suppose 4*y = -y - 20, -5*r + 2545 = 5*y. Let s = r - 6664/13. Is s < c?
False
Suppose -2 = 2*u - 0. Suppose 9758 + 2227 = 51*h. Suppose 10*c + 225 = h. Does c = u?
False
Let z be -66 + 3*1/9*9. Let f be ((-5)/(90/12))/((-1)/z). Let v = -53 - f. Which is bigger: -13 or v?
v
Let t = 1519 + 142. Suppose -72*c + 61*c - t = 0. Is c bigger than -153?
True
Let u(l) = 3*l**3 - l**2 + 5*l - 7. Let y be u(3). Suppose -6*x + 7*x - y = 0. Suppose x = -17*c + 7*c. Is -10 less than or equal to c?
True
Let k = 514271/55 + -9350. Do 1 and k have the same value?
False
Let u = -45515 - -45578. Let i be 16/(1 - 9/12). Are u and i non-equal?
True
Let w = -196 + 166. Let r be 5/w*-35 - 1/(-3). Which is smaller: 5 or r?
5
Suppose 22587 = -58*f - 26307. Let o = f - -803. Do -0.2 and o have the same value?
False
Let o(j) = j**2 + 59*j + 713. Let r be o(-17). Is r >= 0?
False
Let u(a) = -a**2 - 12*a - 20. Let c = 19 + -29. Let q be u(c). Suppose q*n - 18 = -9*n. Is 2 greater than or equal to n?
True
Let s be (-531432)/1858248 + ((-4)/(-10))/(28/20). Which is bigger: 0 or s?
0
Let y be 4 - (-4)/(-8)*-10. Suppose -j - 13 = 4*z, 6*j - 3*j + y = -2*z. Let x be j*2/((-4)/214). Are 106 and x equal?
False
Let b be ((-2280)/15)/(-19) + 11982/(-1501). Is b at least as big as -1?
True
Let j be (5 - 2495/500)/(70/25025). Are j and 3 non-equal?
True
Let y(j) = 12*j**2 + 509*j - 125. Let o be y(-40). Is -1286 bigger than o?
False
Suppose -5*m = 3*b + 6355, 1 = 2*m - 1. Let g = b - -27532/13. Is -0.1 < g?
False
Let q(i) = 18*i**3 + 7*i + 12. Let h be q(-2). Let a = 191 + h. Is a != 45?
False
Let q be 20/(-6)*(-4320)/(-2400). Let z = 0 - -1. Let s be 1*(z + 0) + -6. Which is bigger: s or q?
s
Let t be (-2 + 2 - -2)*1. Let c = 228250 - 228250.55. Is c less than t?
True
Let v(a) = -2*a + 28. Let s be v(13). Let l(c) = -5*c + 13*c**s + 4 + 9*c**2 - 8. Let n be l(-1). Which is smaller: 24 or n?
n
Let w = 2.9 + -3.9. Let a = -39 + w. Let s = a + 42. Which is bigger: -1/3 or s?
s
Let j = -161 - 153. Let h = -313.99 - j. Which is greater: h or 1/8?
1/8
Let x be -10*(-13 + 7 - (-2541)/(-35)). Are 781 and x nonequal?
True
Let d(j) be the second derivative of 7*j**3/6 + 42*j**2 + 3*j + 2. Let z be d(-12). Which is smaller: z or -4/127?
-4/127
Suppose 4*p - 2 = 18. Let n be 4715/105 - 12/(-126). Let b be 18/n + 208/p. Is 41 greater than b?
False
Let s be 0*3/207*23. Is 99/152 at most s?
False
Let d be 2/12*(-4233)/510. Let u = -55/12 - d. Let c be 0 - (-2)/(2/(-3)). Which is greater: u or c?
c
Let w(o) = 5 + 4045*o**2 - 4093*o**2 - o**3 + 160*o - 5 + 49*o + 35. Let u be w(-52). Suppose 4*c + 8 + 68 = 0. Is c at most as big as u?
True
Let k be (-1)/(2/(-8)) - (-7 - 6287130/(-571554)). Which is smaller: k or -1?
-1
Let v(a) be the second derivative of -a**4/12 - 4*a**3/3 + 9*a**2 - 9*a. Let p be v(-8). Suppose 5*d + p - 3 = 0. Which is smaller: -26/9 or d?
d
Let r(i) = 0 - i - i**2 + 2 - 5*i - 19. Let y(q) = q. Let t(s) = r(s) - 5*y(s). Let g be t(-9). Is g smaller than 3/2?
True
Let h = -147/20 + 31/4. Let z be (-344619)/279 + (-1 - -1). Let t = z + 1235. Which is greater: h or t?
h
Let c = -132333 - -5293053/40. Are -6 and c equal?
False
Let t(h) = -10*h - 119. Let q(w) = -w**2 + 8*w - 19. Let r be q(8). Let j be t(r). Is j bigger than 70?
True
Let d = 0.23 + -0.03. Suppose -62*y - 1997 = 854 + 311. Which is smaller: y or d?
y
Suppose 4*j - 2*z = 3*j + 3, j - 5*z = 3. Suppose n = x + 4, n - j*x - 1 = x. Let l(a) = -500*a + 1499. Let w be l(3). Do w and n have the same value?
False
Let r = 3773 - 3023. Is 4 <= r?
True
Let r(a) = a**2 + 29*a - 339. Let u be r(-37). Which is bigger: u or -15?
-15
Let l = -0.331 + -23.669. Let p = 2 - l. Is p > -1?
True
Let x(p) = p**3 + 15*p**2 - 74*p - 278. Let z be x(-17). Which is greater: 409 or z?
409
Let l = -12872/32105 + 6/6421. Let y = 732/7 - 18356/175. Which is smaller: y or l?
l
Let g(k) = 23*k + 5119. Let d be g(-72). Which is bigger: d or 3464?
3464
Let f be (-4)/((-70)/66 - (-240)/(-880)). Let s = 27 + -39. Let h be (-1)/(10/s) + 2. Which is smaller: f or h?
f
Let p = -681570947 + 1093921323104/1605. Let m = 7/321 - p. Is m less than or equal to 28?
False
Let q = 13 - 8. Let x(p) = -2 - 4 - 2*p**2 + 0 + 4*p + 8*p**2 - 7*p**2. Let b be x(q). Is b smaller than -6?
True
Let q = -129868 + 906128/7. Is -421 >= q?
True
Let c = 53.6 + -202.6. Which is smaller: c or -6?
c
Let j = 0.06203 - 0.06203. Which is smaller: 365/6 or j?
j
Let l be (11 + 19668/(-36))/(20/6 + -3). Is l bigger than -1605?
False
Let v(n) = -n**2 + 121*n + 917. Let r be v(-8). Which is bigger: -104 or r?
-104
Let m = -68 - -98. Let h = m + -54. Suppose 2*i + 3*s = -14 - 30, 0 = -4*i - s - 98. Are i and h nonequal?
True
Let g = -3191692/505 + -426/101. Let v = g + 6268. Is -57 > v?
False
Let j(t) = -18*t**2 + 3*t - 29. Let i be j(-8). Let b = i + 8474/7. Which is smaller: b or 5?
5
Let u = 44 - 42. Suppose -4 = -4*d, -u*c - 3*d - d + 36 = 0. Suppose 0*y - 2*y + 28 = -2*w, 0 = -5*w + 15. Which is greater: c or y?
y
Suppose -7*s = -41 + 13. Suppose 3*a + 12 = 6*z - s*z, -5*a - 20 = -5*z. Is 0.01 equal to z?
False
Let k = 257 - 179. Let a = k - 76. Is 7/6 less than or equal to a?
True
Suppose -3*r - 5*w - 65 = -8*r, -5*w = -r + 29. Suppose -9*l + 7395 = 7341. Is r less than l?
False
Let u be (18/144)/((-741)/(-1902)). Let o = 5/19 - u. Let q(c) = 2*c**3 - 2*c**2 + c. Let d be q(1). Which is smaller: d or o?
o
Let h be (12 - 7) + (-163)/4. Let m = 96 - 131. Is h not equal to m?
True
Let o be (0 - 1 - -2) + -25. Let h be 8/o + (-21)/(-9). Let s be 1*-3 + (-63)/(-21). Which is smaller: h or s?
s
Let t(k) = 82*k + 257. Let d be t(6). Let i = d + -748. Is 8/83 at most i?
True
Let a be (-21)/36*(58 + 10). Let i = a - -39. Suppose 3 = -j - 2*j. Is i bigger than j?
True
Let q(h) = h**3 - 12*h**2 + 8*h + 7. Let d be q(4). Let i = -6249 - -6249.4. Is i at most d?
False
Suppose -5*j - 330 = -5*k, -32 = -81*j + 77*j. Is k bigger than -37?
True
Let r = 8.5 - 1.8. Let v = r - 8.5. Let f = 2/15 + -19/30. Which is smaller: v or f?
v
Let t(y) = y**3 + 4*y**2 - 41*y - 88. Let q be t(-2). Let k = -178588/415 - -841/83. Let p = k - -422. Is p != q?
True
Let s = 468.4 + -172.4. Is s less than or equal to -6?
False
Let n = 418 + -420. Let a be 6 + (n - (-8 - -11)). Let o = -11.6 + 10. Which is bigger: o or a?
a
Let d be 238/3*(114/12 - 8). Which is greater: 126 or d?
126
Let n be (-1*(-4 + 5))/((-1)/2). Suppose 0 = -8*t - n | {
"pile_set_name": "DM Mathematics"
} |
*4 + 2*p**2 + p + 13*p**4 + 0 to g*p**2 + y*p**3 + n + c*p**4 + t*p and give c.
26
Express (-1348*t - 1166*t - 2 - 268*t)*(-t - t + t) as y*t**2 + r*t + o and give y.
2782
Express -6*b - 4*b**2 - 2 + 8*b - 5*b + 7*b**2 + 1 in the form t*b**2 + f + d*b and give t.
3
Rearrange -3*u + 9 - 9 - 4*u - 2*u + 4*u + (1 - 1 + 1)*(3 - u - 3) + 2 + 8*u - 2 + 3*u - u + 0*u to x + n*u and give n.
4
Express 9746*c**2 - 9746*c**2 - 46*c**3 + (2*c + 0*c + 0*c)*(-2*c**2 - c**2 - c**2) in the form s*c + r + b*c**2 + n*c**3 and give r.
0
Rearrange -z + 8*z - 74*z**2 - 7*z to the form d*z + y*z**2 + s and give y.
-74
Express (4 + 16 - 11)*(7*l**2 - 12*l**2 - 4*l**2 + (3*l**2 - 2*l**2 - 3*l**2)*(-1 + 1 + 2)) as u*l**2 + o + s*l and give u.
-117
Rearrange -328*a + 355*a - 1103*a to the form v + w*a and give w.
-1076
Rearrange (0*z**2 - z**2 + 2*z**2)*(14 + 10 - 3)*((-3*z - 2*z + 3*z)*(-5 + 4 + 2) - 4*z + 3*z - 2*z) to the form d*z**2 + b + n*z**3 + j*z and give n.
-105
Rearrange -k**2 + 4*k**2 - 6*k**2 - 3 - 180*k + 179*k to the form o + y*k**2 + j*k and give j.
-1
Express (3*u + u - 2*u)*(137 - 3*u + 135 - 271) + (-4*u - 4*u + 6*u)*(1 - 1 + 3*u) in the form i + g*u + f*u**2 and give g.
2
Express -3*b + 1032*b**2 + 1065*b**2 - 2049*b**2 in the form l*b**2 + r*b + t and give r.
-3
Rearrange -101607 + 4*g**3 + 30*g**2 - g + 101607 to a + q*g + i*g**2 + z*g**3 and give z.
4
Rearrange -532 + 3*x - 3*x + 8*x - 10*x + x to p + d*x and give p.
-532
Express 2*y - 2*y - 2*y**2 + 6 + (2*y - 7*y + y)*(-y - y + 0*y) + 5*y**2 - 6 + 6 in the form d*y + q*y**2 + u and give d.
0
Express -12*o**3 - 2 + o**4 - o - o - 12*o**3 + 8*o**3 - 17*o**3 as y*o**3 + d*o**4 + w + b*o**2 + h*o and give d.
1
Express 0*a**2 - a**2 + 0*a**2 + (-1 - 1 + 6)*(-5*a + 3*a + a)*(-6*a - 29*a + 6*a) as w*a**2 + q + p*a and give w.
115
Rearrange 3*a + 41*a**3 - 13*a**3 - a + 2 - 2*a**4 + 10*a**4 - 26*a**3 + a**2 to the form x*a**2 + s + w*a**3 + c*a + v*a**4 and give s.
2
Rearrange (-6*l**4 + l**4 + 4*l**4)*(-61 + 20 - 91) to the form u*l + x*l**4 + z + v*l**3 + y*l**2 and give x.
132
Express -11*h**2 - 7 + 7 - 7*h**2 as g + u*h + d*h**2 and give d.
-18
Rearrange -170*v**2 + v**3 + 341*v**2 + 8 - 15*v - 171*v**2 to the form x*v + j*v**2 + w + n*v**3 and give x.
-15
Rearrange -16*f - 27 + 27 + 0*f + 5*f - 4*f + 2*f - f - 2*f + (-3 - 1 + 2)*(0*f - f - f) + 3*f - 2*f + 0*f - 4*f + 8*f + f to the form t + b*f and give b.
-6
Express 2 + 0*f**3 + 4*f**2 - f**3 - 14*f**2 + 12*f + 6*f**3 - 9*f in the form d*f**2 + v*f + i + c*f**3 and give v.
3
Express -152 + 72 + 80 + 298*i in the form y*i + d and give y.
298
Rearrange (1 - 4*v - 1)*(-13*v - 7*v - 26*v) + 2*v**2 - 4*v**2 + v**2 to q + n*v + h*v**2 and give h.
183
Express -5*z - 10 - 79*z**2 - 19 + 26 + 0*z + 6*z in the form n*z**2 + u*z + r and give n.
-79
Rearrange -25*r + 16*r**2 + 11*r - 18*r**2 - 27*r**2 - 7*r to l*r**2 + z + p*r and give l.
-29
Rearrange (1 - w - 1)*(-48 - 26 - 6)*(5*w**3 + 2*w**3 - 5*w**3) to the form g*w**3 + b*w**4 + u*w + r + q*w**2 and give b.
160
Express 96 + 15*g**3 - 4*g**4 - 3*g**4 - 96 - g as u*g + h*g**2 + j*g**4 + b + p*g**3 and give b.
0
Express ((-2 + 0 + 0)*(-5*u + 6*u + 8*u) - 1 - u + 1)*(-19 + 4*u**2 + u + 41 - 31) in the form j*u**2 + v*u + h + l*u**3 and give j.
-19
Rearrange (-3 + 1 + 6)*(2*w - 6*w + 3*w)*(-23*w + 53*w + 109*w) to the form j + i*w**2 + c*w and give i.
-556
Rearrange (132*p**3 + 278*p**3 - 124*p**3)*(2 + 2 - 3) to the form x + i*p + q*p**2 + g*p**3 and give g.
286
Express -201*k**2 - 322*k + 416*k**2 - 217*k**2 in the form l*k**2 + r + g*k and give g.
-322
Express 10*t**2 - 2*t**2 + 2 + 5*t**3 - 3*t**2 - 3*t**3 - 4*t as q*t + b + g*t**3 + k*t**2 and give b.
2
Express (0 + 0 - 3)*((4 + 2*a - 4)*(5*a - a - 3*a) + 2*a**2 - 3*a**2 + 0*a**2 - 11 + 11 - 4*a**2 + 4*a - 4*a + 6*a**2) in the form f + k*a**2 + c*a and give k.
-9
Rearrange -1679*u + 1684*u - u**2 + 11 + u**2 + u**4 to i*u**2 + c*u + o + z*u**4 + h*u**3 and give z.
1
Express (3*v - 7*v - 2*v)*((-2 + 3 + 1)*(0 + 0 - v) + 0*v + 3*v - 5*v + v + v - v) in the form s*v + g*v**2 + z and give s.
0
Rearrange -10339 + 10337 + 10*b - 37*b + (3*b + 5*b - 4*b)*(-3 + 4 + 1) to y + q*b and give q.
-19
Express -3 + 95*f + 3 - 119*f - 1157*f in the form b + n*f and give n.
-1181
Rearrange -111*l + l**2 + 6 + 111*l + 2*l**4 - l**3 + 0 to the form u + t*l**2 + s*l + d*l**4 + y*l**3 and give s.
0
Rearrange v + 42 - 2*v**4 - 47*v**3 - 46*v**3 - 47*v**3 + 136*v**3 to s*v**3 + h*v**2 + m*v + q + j*v**4 and give q.
42
Express -6*l**2 + 185*l**2 + 84*l**2 + 33*l**2 in the form b*l**2 + s + q*l and give s.
0
Express -412*l**2 - 1028*l**2 - 265*l**2 in the form b*l**2 + d*l + i and give b.
-1705
Rearrange -19*m**4 + 1536*m**3 - 1536*m**3 + (0*m**2 + m**3 + 0*m**2)*(2*m - m + 3*m) to a*m + f*m**3 + h*m**4 + v + y*m**2 and give h.
-15
Rearrange (-7*f + f + 13*f)*(-2*f - 2*f + f + (-5*f + 3*f - 4*f)*(5 - 4 + 1)) to p*f**2 + q + y*f and give p.
-105
Rearrange -20*z**2 + 94*z**3 - 20*z**2 + 8*z**2 + 28*z**2 to j*z**3 + h*z**2 + i*z + v and give h.
-4
Express w + 3*w + w + (2*w + w + 7*w)*(9 + 0 - 2) as y + l*w and give l.
75
Rearrange (5*c - 415*c**2 + 420*c**2 + c)*(-14*c - 6 + 6) to m*c**3 + i + o*c**2 + s*c and give o.
-84
Express 3*z - 5*z - 2*z - 411*z**2 + 4*z in the form v*z + b + u*z**2 and give u.
-411
Rearrange 35 - 4*f**2 + 63 - 95 - 2*f - 3*f**3 - 3*f**2 to o + z*f**2 + d*f**3 + b*f and give b.
-2
Rearrange (65*m**2 - 65*m**2 - m + 2*m**3 + (-3*m + 2*m + 3*m)*(4*m**2 + 0*m**2 + 0*m**2))*(1 - 5 - 1) to q*m + s + z*m**2 + i*m**3 and give q.
5
Express -1 + 373*l + 3*l**4 - 6*l**4 - l**3 - 371*l + l**4 + 31*l**2 in the form y*l**4 + k*l + u*l**3 + v + w*l**2 and give w.
31
Express (-u**3 + 2*u**2 - 2*u**2 + (-u + 4*u - u)*(5 - 5 + u**2))*(1626 - 1626 + 144*u) as o*u + r*u**3 + w + b*u**4 + d*u**2 and give b.
144
Rearrange (4 + 4 - 6)*(2*s - 2*s - 2*s**2 + (3*s + 0*s - 5*s)*(2*s + 1 - 1)) + (-3*s + 3*s - s**2)*(15 + 3 + 196) to the form h + w*s**2 + k*s and give w.
-226
Rearrange -532*y**2 - 339*y**2 + 449*y**2 - 1088*y**2 to the form p*y**2 + r*y + u and give p.
-1510
Rearrange -553 - 4*v**2 + 546 + 3*v**2 + (4*v - 2*v + 0*v)*(3*v + 0*v - 2*v) + v - v + 2*v**2 to the form a + p*v**2 + q*v and give a.
-7
Express -7*l**3 + 6*l**3 - 5*l**3 - 11 as w*l**3 + f*l + i + t*l**2 and give i.
-11
Rearrange (-66 + 71 - 6*f - 29*f)*(2*f + 3*f - 3*f) to b*f + g*f**2 + j and give b.
10
Express 74*f - 31*f + 36*f as q*f + z and give q.
79
Rearrange -1430*w**3 + 2865*w**3 + 186 - 2*w - 1434*w**3 to u + g*w**3 + y*w + c*w**2 and give y.
-2
Rearrange (97*o + 76*o - 37*o)*(o + 4 - 4) + (-2*o - o + o)*(-1 + o + 1) to the form s*o**2 + y + q*o and give s.
134
Express 75*z**3 - 13*z**4 - 14*z**2 - 74*z**3 + 15*z**2 - 14 in the form n*z**4 + o*z**3 + r*z + h + x*z**2 and give x.
1
Express -2*o**3 - o**4 - 41 + 3*o**2 + 74 - 2*o - 35 in the form r*o**2 + k + t*o**3 + v*o + h*o**4 and give t.
-2
Express (32 + 10*b**2 - 32)*(-5*b + 121 - 121)*(4*b - b + 0*b) as r*b**3 + j*b**4 + v*b + w + z*b**2 and give j.
-150
Rearrange 1398 - 1398 - 53*f to u*f + q and give u.
-53
Rearrange (-8*n + 54 + 26*n - 20*n)*(28*n - 14*n - 15*n) to the form p + a*n + d*n**2 and give a.
-54
Express -j**3 + j**3 + 19*j**3 + (2 + 0 - 1)*(-j**3 + 0*j**3 + 0*j**3) as v*j**3 + b + r*j**2 + h*j and give v.
18
Express -5*a + 2*a**4 + a + 3*a**3 - a**2 + 6 - 4*a**2 + 2*a**2 + a**2 as v*a + l*a**2 + i*a**3 + t*a**4 + w and give i.
3
Express -72*a**2 + 5*a + 3 + 74*a**2 + 9*a + 4*a as g*a + k + m*a**2 and give k.
3
Rearrange -4*s + s**4 + 5*s**2 - 7*s**2 + 1 - s + 4*s to the form z*s**3 + l*s**4 + h + g*s + o*s**2 and give h.
1
Express -74*w**3 + 4*w + 2*w + 81*w**3 - 4*w + 2*w**2 in the form f*w**3 + j + g*w**2 + n*w and give f.
7
Rearrange (-72*k - 529*k - 80*k)*(3 - 1 + 2) to n + c*k and give c.
-2724
Express -2 + 131*y - 94*y + 2 + 196*y in the form b + o*y and give o.
233
Express 3 - 3 - 2*z + (z + 5*z + 0*z)*(0 - 4 + 0) + 2*z + 27 - 27 in the form i + r*z and give r.
-24
Rearrange 170*z + 320*z + 42*z + 82*z to the form a + c*z and give c.
614
Rearrange (2154 - 2154 + 176*c)*(-5*c**2 + c**2 + 3*c**2)*(-2*c - 2 + 2) to q*c**2 + j*c**4 + x*c**3 + n*c + p and give j.
352
Express 1 + 2*m - 6*m - 11*m - 20 + 12 as c*m + n and gi | {
"pile_set_name": "DM Mathematics"
} |
s -3/10961?
True
Is 9/10582 not equal to 0?
True
Is 105123 != 105125?
True
Is -109264 at least -109265?
True
Which is smaller: -21870 or -21875?
-21875
Is 1 at most 990/703?
True
Are 1092798 and 1092798 nonequal?
False
Which is greater: 56 or -914?
56
Which is smaller: -34151 or -307370/9?
-307370/9
Which is bigger: -312492 or -0.2?
-0.2
Which is smaller: 1078 or 18?
18
Is 18580 at least 18576?
True
Are 282819 and 282818 unequal?
True
Which is smaller: 1/3 or -235376/3?
-235376/3
Do 0 and 78/575 have the same value?
False
Which is greater: 1 or -1/1513170?
1
Which is smaller: 3/55885 or -0.2?
-0.2
Does -8/94623 = 0?
False
Are -6809 and -6746 nonequal?
True
Which is bigger: 29110 or 29112?
29112
Which is smaller: 5/132997 or 1?
5/132997
Which is smaller: 2.27 or -129?
-129
Which is bigger: -104 or 1861.5?
1861.5
Which is greater: 3846 or -27?
3846
Is -77524 smaller than -77529?
False
Which is greater: -63569 or -63576?
-63569
Is -1540/2223 < -1?
False
Which is bigger: -160.01 or 2?
2
Which is greater: -0.32935 or -0.5?
-0.32935
Is 102237 at most as big as 102240?
True
Which is smaller: 103 or 1439?
103
Which is bigger: -1 or 4/18829?
4/18829
Is -1828 > -1906?
True
Which is bigger: -15451 or -15460?
-15451
Which is smaller: 4568 or 4588?
4568
Do 40701/19 and 2143 have the same value?
False
Which is smaller: -2/81069 or 0?
-2/81069
Which is greater: -49/2078 or -1?
-49/2078
Is 71541 <= 71543?
True
Is 0 <= 19/2276?
True
Do -222993 and -222993 have the same value?
True
Which is smaller: 1891/23 or 83?
1891/23
Are -2 and -749/724 unequal?
True
Is 229834 != 919335/4?
True
Which is smaller: 0.05 or 243645?
0.05
Is -29071 less than -44?
True
Is -1214 smaller than -1207?
True
Is -1656 > 30?
False
Which is smaller: -1605836 or -0.1?
-1605836
Which is bigger: -2 or 60895?
60895
Which is greater: -6 or 15872?
15872
Which is bigger: -2/7 or 5/579?
5/579
Which is greater: 3 or -190535?
3
Which is smaller: 6201 or 6198?
6198
Which is smaller: -101/3 or 23/4?
-101/3
Which is smaller: -38 or -11/932?
-38
Are -0.076216 and 1 unequal?
True
Are -800325 and 0 equal?
False
Which is smaller: -7 or -93521?
-93521
Is 3107481 smaller than 3107482?
True
Which is greater: 6/499969 or -1?
6/499969
Is -1 greater than or equal to -8/575681?
False
Which is bigger: -54741 or -54749?
-54741
Which is smaller: 114926 or 2/9?
2/9
Which is bigger: 20/14841 or 0?
20/14841
Is -1/14 at least -43429?
True
Which is smaller: 11 or -56/1675?
-56/1675
Do 53362 and 53360 have the same value?
False
Which is bigger: -108 or -3486?
-108
Is 3/8 greater than 2914?
False
Is -6/384917 less than -1?
False
Which is bigger: 672976 or 672979?
672979
Is -0.1 != -325/199?
True
Do 1.5293 and 18 have different values?
True
Is -176538/5 smaller than -35309?
False
Which is smaller: 48446/187 or 260?
48446/187
Does -20/11 = -20381?
False
Is 0 <= 158/12793?
True
Is 470 <= 916?
True
Is -1 at least -93/10073?
False
Are 1 and 9/145237 unequal?
True
Which is bigger: 3236 or 3222?
3236
Which is bigger: 192 or -1612?
192
Which is smaller: -8306 or -5?
-8306
Is 2/7 smaller than 5/3806?
False
Is 884035 > 884038?
False
Which is greater: -1851 or -679?
-679
Which is greater: -1207/24 or -50?
-50
Which is bigger: -4126 or -4114?
-4114
Are -779 and -780 unequal?
True
Does 1.4 = -975/53?
False
Which is greater: 127 or -9613/6?
127
Is 41626 > 41571?
True
Is 602479/5 > -1?
True
Which is bigger: -12367112 or 1?
1
Is -37521 not equal to -150079/4?
True
Are 5 and -3/885275 unequal?
True
Does 469288 = 469289?
False
Which is smaller: -3/228661 or 1?
-3/228661
Which is greater: 460 or 19?
460
Which is bigger: -73 or -8973?
-73
Is 367511 at most as big as 367511?
True
Are 240650 and 240648 non-equal?
True
Which is bigger: -459/3710 or 1?
1
Is -9 less than or equal to -2393?
False
Which is greater: 2/48389 or 1?
1
Which is greater: 11 or 2213/209?
11
Which is smaller: -45/2 or -219/14?
-45/2
Which is greater: -583 or -903?
-583
Which is smaller: 99045 or 99027?
99027
Which is smaller: -100.48 or -2/3?
-100.48
Which is smaller: 0.0933 or -31?
-31
Which is smaller: -1 or 803?
-1
Do -31513 and -94535/3 have different values?
True
Which is smaller: 1 or -67/20612?
-67/20612
Which is bigger: 4/130951 or 2?
2
Do -80 and -6921/85 have different values?
True
Is -61271 smaller than -61272?
False
Which is smaller: 1/1062572 or 0?
0
Is 4135 at most as big as 4140?
True
Are 400/249 and 1 non-equal?
True
Which is smaller: 3 or -48661?
-48661
Is -2/68759 != 1?
True
Which is smaller: 0 or -2268/9127?
-2268/9127
Which is greater: 34 or -89?
34
Is 2/5323781 greater than or equal to 0?
True
Which is greater: 240/12443 or 0.3?
0.3
Which is smaller: 217/1128 or 0.2?
217/1128
Is 0 greater than -2535887?
True
Which is smaller: -7694 or -7704?
-7704
Which is greater: 88/10073 or -1?
88/10073
Is 1/4 bigger than -3471?
True
Are 169/16210 and 0 unequal?
True
Which is greater: -253156 or -253161?
-253156
Are 65216 and 6 equal?
False
Which is bigger: -21944/9 or -2437?
-2437
Do 650 and 28 have different values?
True
Is -103123 less than -103125?
False
Is -89.199 >= -2?
False
Which is greater: 24/1357 or 1?
1
Is 951 != 966?
True
Which is greater: 4.5235 or 1.4?
4.5235
Which is smaller: -23736 or -142415/6?
-23736
Is 199902/127 less than or equal to 1574?
False
Is 179030 <= 179039?
True
Which is greater: -17012 or -17023?
-17012
Is 1 less than 29/10524?
False
Is 594/151 equal to 5?
False
Which is smaller: -9/24304 or 1?
-9/24304
Which is greater: 16379 or 16388?
16388
Is 6938 at most 6877?
False
Is -1031281 at least -1031281?
True
Which is bigger: -1 or 33/3932?
33/3932
Which is greater: 51 or 50?
51
Is -15270 at least -15277?
True
Which is smaller: -0.3 or 197727?
-0.3
Which is greater: -39189/49 or -799?
-799
Which is smaller: -35883 or -35894?
-35894
Which is greater: -644/1881 or 1?
1
Which is smaller: 29 or 413?
29
Which is greater: -0.1 or 1941447?
1941447
Which is smaller: -18 or 6885.2?
-18
Is 0 less than 2086/33?
True
Which is smaller: 2 or 2059/2218?
2059/2218
Which is bigger: 14300 or 14303?
14303
Which is bigger: -4213 or -67421/16?
-4213
Which is smaller: -0.240211 or 1/7?
-0.240211
Is -398884 >= -398884?
True
Which is bigger: 16288 or 48868/3?
48868/3
Is -794 at least as big as -7145/9?
False
Which is bigger: 4739 or 123223/26?
123223/26
Is -1/4 at least 87779?
False
Which is greater: 1307759 or 1307758?
1307759
Which is smaller: 0 or 50/28133?
0
Do 1 and -23/88273 have the same value?
False
Which is greater: -634 or 0.0355?
0.0355
Is -2/5 > -391650?
True
Which is bigger: 2/9 or -177829?
2/9
Are 1937/2 and 970 equal?
False
Is -8/5055 less than or equal to -1?
False
Which is smaller: 138/2495 or -2/7?
-2/7
Is 332527 greater than or equal to 332527?
True
Which is bigger: -97941/5 or -19589?
-97941/5
Which is smaller: -1 or -24/70423?
-1
Which is smaller: 22/17 or -2251?
-2251
Which is bigger: 2.4 or 4/237181?
2.4
Is 581/480 at most 1?
False
Is -0.25 > -39755?
True
Are 0 and -1/698603 equal?
False
Are -682155 and -0.3 nonequal?
True
Which is smaller: 12344 or 12343?
12343
Which is smaller: 23767 or 23765?
23765
Which is smaller: 0.2 or 1368?
0.2
Is -51 != -49/113?
True
Is -517 greater than or equal to 81?
False
Which is smaller: 8 or 1285/159?
8
Is -1765 bigger than -2089?
True
Is 16204 less than or equal to 243046/15?
False
Which is smaller: -650 or -520?
-650
Which is smaller: 43 or 1865/42?
43
Is 367241/8 smaller than 45905?
False
Is -75/120668 > -1?
True
Which is greater: 90962 or 90961?
90962
Which is greater: -1 or -4/6257143?
-4/6257143
Which is greater: -52891 or -52888?
-52888
Is 1137 less than or equal to 0.5?
False
Is 14629 at least as big as 14640?
False
Which is smaller: 6659 or 2/103?
2/103
Is -417836 greater than or equal to -417833?
False
Are 34/3829 and 1 nonequal?
True
Which is smaller: 2 or -125892?
-125892
Is 41 > -2047?
True
Is -11200/17 bigger than -660?
True
Which is greater: 2/11822809 or 0?
2/11822809
Is -76115/2 smaller than -38058?
False
Which is smaller: 0 or -24/12265?
-24/12265
Is -194024 <= -194025?
False
Which is bigger: 9/17725 or 1?
1
Is -134 equal to 32?
False
Is -1366115/11 equal to -124192?
False
Which is bigger: -1183/37 or -31?
-31
Is 250063 bigger than 250065?
False
Is 2263942 bigger than 2263942?
False
Is | {
"pile_set_name": "DM Mathematics"
} |
vided by u.
6
Let w(t) = -t**3 - 7*t**2 - 7*t + 9. Suppose -16*p + 176 = -8*p. Calculate the remainder when w(-8) is divided by p.
19
Let r = -4 - -7. Let x be ((-93)/(-3))/((-2)/8). Let w = x - -127. What is the remainder when w is divided by r?
0
Let j(c) = c**3 + 4*c**2 - 6*c - 1. Let f be j(-5). Suppose -5 - 63 = -f*v. What is the remainder when 47 is divided by v?
13
Let o = -619 + 929. What is the remainder when o is divided by 52?
50
Let r = 10 + -8. Let i be (3 + 0)/3*3. Let x(m) = 2*m - 2. Calculate the remainder when x(i) is divided by r.
0
Let o be 3 + -1 + (-13)/13 - 4. Calculate the remainder when (-9)/(-27) + (-281)/o is divided by 19.
18
Let m(t) = -t**3 + 5*t**2 + 2*t. Suppose 2*a = 3*a + 5. Let s = 10 + a. Calculate the remainder when m(s) is divided by 3.
1
Suppose 2*t - 78 = 50. Let c be (t/80)/(2/50). Let v = c + -13. What is the remainder when v is divided by 4?
3
Suppose -6*g + 1298 = 1238. Calculate the remainder when 867 is divided by g.
7
Calculate the remainder when (5/(100/32))/((-4)/(-100)) is divided by 6.
4
Let g(b) = 2*b - 1. Suppose -4*d - 3 = 25. What is the remainder when (68/10)/(d/(-35)) is divided by g(4)?
6
Let d(h) = -h**2 + 5*h + 7. Suppose 3*l + z = 97, 0 = 5*l + 4*z - 149 - 15. What is the remainder when l is divided by d(5)?
4
Let z = 2169 - 2159. Calculate the remainder when -49*(2 - 6/2) is divided by z.
9
Let q(z) = z**3 - 7*z**2 + 3*z - 3. Suppose -238 + 356 = 2*p. What is the remainder when p is divided by q(7)?
5
Let p(s) = s**2 + 45*s + 404. What is the remainder when p(-11) is divided by (4/5)/((-2)/(-40))?
14
Let n(r) = -r + 1. Let f be n(-10). Let i = 21 - f. Suppose 3*c - i = 5, -3*v = 4*c - 101. Calculate the remainder when 134 is divided by v.
26
What is the remainder when (6 - 576/(-27)) + 4/6 is divided by 23?
5
Suppose -5*c - 25*l + 22*l = -277, -5*c + 278 = 2*l. Let x = 32 - 13. Calculate the remainder when c is divided by x.
18
Let j(q) = 6*q - 6 + 4*q - 1 - 6*q. Calculate the remainder when 2/4 + 98/4 is divided by j(4).
7
Let y(a) = -a**3 - 6*a**2 - 5*a. Let v be y(-5). Suppose -x + v + 4 = 0, -3*j + x = -47. Let t = -1 + j. What is the remainder when t is divided by 10?
6
Suppose -82*v - 1782 = -104*v. Suppose -3*h + 29 = -7. Calculate the remainder when v is divided by h.
9
Suppose 0 = -26*g + 449 - 59. What is the remainder when 110 is divided by g?
5
Let t(w) = -6*w - 4. Let n be t(-2). Let u be 22/n + 7/28. What is the remainder when 2 - (-3 + -18)/u is divided by 3?
0
Suppose -5*l = -4*q - 19, -2*l - 17 = -5*l + q. Let u(h) = 7*h + 2*h + 0*h**3 - 9 + h**3 - l*h**2. Calculate the remainder when u(6) is divided by 5.
4
Let q(t) = 16*t + 91. Calculate the remainder when 405 is divided by q(-5).
9
Let k be (-14)/21*1*-9. Suppose -k*a = -8 - 10. Suppose -x - 4*b = -18, 54 = a*x + 5*b - b. What is the remainder when 71 is divided by x?
17
Let h = 588 + -572. What is the remainder when 511 is divided by h?
15
Suppose 11*v + 9*v = 2560. What is the remainder when v is divided by 43?
42
Suppose -6*f + 401 = -379. What is the remainder when f is divided by 58?
14
Suppose p = 2*p - 66. Suppose 11*d - 140 = 47. Calculate the remainder when p is divided by d.
15
What is the remainder when (6/(-3))/(2/(-945)) is divided by 79?
76
Suppose 0 = g - 2*d - 5 - 22, -2*d = 0. Let x = -52 + 14. Let n = 53 + x. What is the remainder when g is divided by n?
12
Suppose -2*s = s - 96. Let k = -9 - -18. Calculate the remainder when s is divided by k.
5
Suppose -16 = -k - 18. Calculate the remainder when 29 is divided by k - (-1 + -4*3).
7
Let u be ((-12)/(-15))/((-1)/(-5)). Suppose u*v - 9 = 207. What is the remainder when v is divided by 15?
9
Let z = -1334 + 1356. Suppose 5*i - n - 23 = 0, -19 = -5*i + 2*n + n. What is the remainder when z is divided by i?
2
Suppose -2*m - 5*u + 19 = 0, 6*u - 29 = -2*m + 3*u. What is the remainder when 505 is divided by m?
21
Let j(k) = -2*k + 12. Let o be j(0). Let w(v) = -2*v + 17 - 20 + o. Calculate the remainder when 79 is divided by w(-9).
25
Suppose 26 - 62 = -2*z. Suppose -130 = -4*d - z. What is the remainder when d is divided by 6?
4
Let k = 46 - 23. Let g be (-12)/10*(-15)/6. Suppose -2*b + 14 = 2*u, 2*b = -b + g. Calculate the remainder when k is divided by u.
5
Let p(n) = n**2 - 9*n - 6. Let v(x) = -3*x + 12. Let w(k) = 1. Let z(d) = -v(d) - w(d). Calculate the remainder when z(6) is divided by p(10).
1
Let a = 1699 + -1664. Calculate the remainder when 98 is divided by a.
28
Let u = 13 + 2. Suppose 5*q - 90 = -u. Let i = -6 + q. What is the remainder when 33 is divided by i?
6
Let v(y) be the third derivative of y**6/120 + 11*y**5/60 + 3*y**4/8 + y**3 + 2*y**2 - 25*y. What is the remainder when 29 is divided by v(-10)?
13
Suppose 3 = 2*k + 37. Let n be 1 - (k - (1 - 4)). Let a = -9 + n. What is the remainder when 23 is divided by a?
5
Let s be 125/175 + (-2)/(-7). Let o = 20 + s. What is the remainder when 40 is divided by o?
19
Suppose 10*z - 521 = 459. Suppose -4*g + 61 = -39. What is the remainder when z is divided by g?
23
Let o(c) = -c**2 - 15*c - 18. Suppose 4*n = 5*n + 14. Let q be o(n). What is the remainder when 22 is divided by q*(-4)/8 - -11?
9
Let x = -101 - -21. Let o = 149 + x. What is the remainder when o is divided by 18?
15
Let x = 194 + -72. Calculate the remainder when 240 is divided by x.
118
Suppose -24 = -i + 28. Calculate the remainder when (0 + 206/(-4))*(0 + -2) is divided by i.
51
Calculate the remainder when 6 is divided by (-126)/(-21) + 1*(-2 + -1).
0
Suppose 2*d - 17*d = -585. Suppose d = -23*k + 26*k. Calculate the remainder when 24 is divided by k.
11
Let g = 219 - 41. What is the remainder when g is divided by 38?
26
Suppose 0 = l - 5*l + 144. Suppose -5*i = -3*v + 50, -i + l = 2*v - 3*i. Suppose 0*o + 3*o - 114 = 0. What is the remainder when o is divided by v?
18
Suppose 5*o = -5*f + 45, -2*o = f - 4 - 9. Let b = 1 + f. What is the remainder when 4/6*81/b is divided by 3?
0
Let o = 5 + -8. What is the remainder when 67 is divided by (-53)/o - ((-4)/(-3))/(-1)?
10
Suppose z - 2*l = -0*l + 25, -3*l + 78 = 4*z. Suppose -11 - 77 = -11*m. Calculate the remainder when z is divided by m.
5
Suppose 3*f = -m + 53, -m + 2*f = -0*f - 63. Calculate the remainder when m is divided by (-2 + 7)*32/10.
11
Suppose -2*y + p = -25, y + 0 = p + 15. Let u = y - 13. Let c(t) = -10*t - 4. Calculate the remainder when c(u) is divided by 7.
5
Let v = 4 + 18. Let y = -5 + 1. Calculate the remainder when v is divided by y*(-5 - (-3)/1).
6
Let l = 2 + 3. Suppose v - 2*v = 0. Suppose -l*p = -v*p + 5*u - 385, 2*u = -p + 80. Calculate the remainder when p is divided by 19.
17
Suppose q + 22 = -3*z + 96, 2*q + 5*z - 147 = 0. Calculate the remainder when q is divided by ((-36)/(-5))/(-21*23/(-2415)).
35
Let h(l) = -l**3 - 11*l**2 + 13*l + 12. Let w be h(-12). Suppose -2*u = -w*u - 28. What is the remainder when 55 is divided by u?
13
Let g = 63 - 45. Suppose d = 2*x + 55, 2287 = 44*d + 5*d + 4*x. What is the remainder when d is divided by g?
11
Let p(l) = -l**2 + 9*l + 3. Let n = 2844 + -2832. What is the remainder when p(5) is divided by n?
11
Let r(l) = -57*l + 725. What is the remainder when r(10) is divided by 25?
5
Suppose 0 = -3*u + 155 + 1. Let l(t) = -t**3 - 10*t**2 - 4*t - 4. Let y be l(-10). Let q = 54 - y. What is the remainder when u is divided by q?
16
Let f = 58 - 28. Calculate the remainder when (96/f)/((-4)/(-70)) is divided by 15.
11
Let h be 230/15 - 2*(-4)/12. Calculate the remainder when 5 is divided by (-14 + h)/(0 + (-4)/(-10)).
0
Let q be 4/10 - 128/20. Let i(x) = -x**3 - x**2 - 4. What is the remainder when i(-4) is divided by (10/(-4))/(q/36)?
14
Let a = -495 - -507. Calculate the remainder when 237 is divided by a.
9
Suppose 0 = -5*c - 25, 4*c + 120 + 17 = k. Calculate the remainder when k is divided by 66.
51
Let i(v) = -v**2 + v - 1. Let w(g) = -6*g**2 + 3*g + 7. Let l(n) = -4*i(n) + w(n). Calculate the remainder when 15 is divided by l(0).
4
Let b(p) = -4*p**3 - p**2 + 3*p + 2. Let o = 586 + -415. Suppose 4*m = o + 209. Calculate the remainder when m is divided by b(-2).
23
Let t(c) = c - 4. Let y be t(4). Let g(w) = 25 - 7 + 11 + w + 2. Calculate the remainder when g(y) is divided by 11.
9
Let x(i) = -3 + 2 + 2*i - 1 | {
"pile_set_name": "DM Mathematics"
} |
is the next term in 2127, 8523, 19181, 34101, 53283?
76727
What comes next: 97, 740, 2485, 5884, 11489?
19852
What is the next term in 95038, 380156, 855358, 1520650, 2376038?
3421528
What comes next: 1941, 2115, 2291, 2469, 2649, 2831, 3015?
3201
What is next in -461, -1533, -3327, -5849, -9105, -13101, -17843?
-23337
What is next in -117, -261, -437, -639, -861, -1097, -1341, -1587?
-1829
What is next in -80207, -80237, -80267, -80297, -80327?
-80357
What is next in -3653, -3653, -3657, -3665, -3677, -3693, -3713?
-3737
What is next in -22323, -22324, -22327, -22332, -22339?
-22348
What is next in 1715, 3401, 5055, 6677?
8267
What is next in 5166, 5621, 6090, 6579, 7094?
7641
What is next in 1085, 964, 775, 524, 217, -140, -541, -980?
-1451
What comes next: -686, -657, -614, -551, -462, -341, -182, 21?
274
What comes next: 57, 142, 223, 300, 373?
442
What comes next: 38232, 152920, 344068, 611676?
955744
What is next in 459, 945, 1459, 2001, 2571, 3169, 3795?
4449
What comes next: -5560, -5617, -5674, -5731?
-5788
What is next in -1474, -2657, -3840, -5023?
-6206
What is the next term in 110, 229, 326, 395, 430, 425?
374
What is the next term in -21, -48, -93, -156, -237, -336, -453?
-588
What comes next: -16443, -32875, -49297, -65703, -82087?
-98443
What is the next term in -1897, -3734, -5571?
-7408
What comes next: 67860, 135710, 203560, 271410, 339260, 407110?
474960
What comes next: -55, -99, -245, -553, -1083, -1895, -3049, -4605?
-6623
What is next in 10676, 42816, 96390, 171404, 267864, 385776?
525146
What comes next: 20569, 41134, 61699, 82264, 102829?
123394
What is next in -6303732, -6303730, -6303726, -6303720, -6303712, -6303702, -6303690?
-6303676
What comes next: -95230, -190459, -285688, -380917, -476146, -571375?
-666604
What comes next: -4519, -4517, -4515, -4513, -4511?
-4509
What is the next term in -18, 11, 196, 615, 1346?
2467
What comes next: 10329, 10338, 10361, 10404, 10473, 10574, 10713?
10896
What is the next term in -24162, -24147, -24116, -24063, -23982?
-23867
What is the next term in 208313, 208295, 208265, 208223, 208169, 208103?
208025
What is the next term in -124, -582, -1346, -2416, -3792, -5474, -7462?
-9756
What comes next: 105243, 420966, 947171, 1683858, 2631027?
3788678
What is the next term in -15751, -15791, -15903, -16123, -16487, -17031, -17791?
-18803
What comes next: 9120, 9144, 9168, 9192, 9216?
9240
What is next in -769167, -769163, -769157, -769149, -769139, -769127, -769113?
-769097
What comes next: 6536, 13408, 20306, 27242, 34228, 41276, 48398, 55606?
62912
What comes next: -1802, -7197, -16186, -28769, -44946, -64717, -88082?
-115041
What is the next term in -3373, -3039, -2705, -2371?
-2037
What is the next term in 37279, 37280, 37281, 37282?
37283
What comes next: 941, 1778, 2601, 3404, 4181, 4926?
5633
What comes next: 50980, 101963, 152946, 203929?
254912
What comes next: 76, 628, 2132, 5062, 9892, 17096, 27148?
40522
What is next in -143064, -143066, -143068?
-143070
What is next in 5221, 20877, 46971, 83503, 130473, 187881, 255727?
334011
What comes next: 1480, 2942, 4388, 5818?
7232
What is next in 37, 31, 3, -47, -119, -213, -329?
-467
What is next in 411, 1630, 3653, 6474, 10087, 14486, 19665?
25618
What comes next: 387829, 775702, 1163573, 1551442, 1939309, 2327174?
2715037
What is the next term in 4253, 8454, 12603, 16700?
20745
What is next in -2923, -3057, -3189, -3319, -3447?
-3573
What comes next: -6769, -6762, -6755, -6748, -6741, -6734?
-6727
What is the next term in 267, 611, 975, 1359?
1763
What comes next: -135, -152, -181, -228, -299, -400?
-537
What is next in -252, -482, -712, -942?
-1172
What comes next: -1790, -1817, -1844, -1859, -1850, -1805?
-1712
What is next in 12040, 24092, 36144?
48196
What is the next term in 39428, 39463, 39544, 39689, 39916, 40243, 40688, 41269?
42004
What is the next term in 47470, 94941, 142412, 189883, 237354?
284825
What is next in 2467, 4699, 6925, 9145, 11359, 13567?
15769
What is next in 206, 564, 1076, 1742, 2562, 3536, 4664?
5946
What comes next: -18260, -73047, -164358, -292193?
-456552
What is the next term in 44634, 44635, 44630, 44613, 44578, 44519, 44430?
44305
What is next in -1433295, -2866590, -4299885?
-5733180
What comes next: -57699, -115396, -173093?
-230790
What comes next: -9511, -9755, -10419, -11713, -13847?
-17031
What is next in 2863053, 2863052, 2863051, 2863050?
2863049
What is next in 94838, 94829, 94820, 94811?
94802
What is the next term in 10631, 10637, 10645, 10655, 10667, 10681?
10697
What is the next term in 26400, 26396, 26390, 26382, 26372, 26360?
26346
What is the next term in -28295, -28277, -28259?
-28241
What is the next term in -521, -1067, -1641, -2243, -2873, -3531, -4217?
-4931
What comes next: -1411, -3316, -6491, -10936, -16651, -23636, -31891?
-41416
What is the next term in -7862, -15719, -23570, -31415, -39254, -47087, -54914?
-62735
What is next in -152, -68, 16, 100?
184
What comes next: 5, -135, -601, -1555, -3159, -5575?
-8965
What comes next: -340, -648, -936, -1210, -1476, -1740, -2008, -2286?
-2580
What is the next term in 49, -8, -137, -368, -731, -1256, -1973, -2912?
-4103
What is next in -212, -1261, -3002, -5429, -8536, -12317?
-16766
What is the next term in 32270, 32272, 32274, 32276?
32278
What comes next: -249, -176, -39, 174, 475, 876, 1389?
2026
What is the next term in 380576, 380575, 380574?
380573
What is next in 6305, 25149, 56549, 100499, 156993?
226025
What is next in -139, -628, -1347, -2290, -3451, -4824, -6403?
-8182
What is next in -20489, -20468, -20433, -20384?
-20321
What comes next: 109, 284, 459, 634, 809, 984?
1159
What is the next term in -435, -1713, -3811, -6717, -10419, -14905, -20163?
-26181
What is next in 5979, 11860, 17753, 23664, 29599, 35564?
41565
What is the next term in 108521, 108522, 108523, 108524, 108525, 108526?
108527
What is next in 13009, 52039, 117091, 208165, 325261?
468379
What comes next: 29403, 58809, 88215, 117621, 147027, 176433?
205839
What comes next: 4380, 4364, 4322, 4242, 4112, 3920?
3654
What comes next: 152, 126, 84, 26, -48, -138?
-244
What comes next: -958189, -1916380, -2874571, -3832762, -4790953, -5749144?
-6707335
What is the next term in 158802, 317604, 476406, 635208?
794010
What is the next term in -662, -2788, -6332, -11294, -17674, -25472?
-34688
What is the next term in 380, 940, 1500?
2060
What is next in -2437, -2444, -2451?
-2458
What comes next: -2539, -4748, -6957?
-9166
What comes next: -1510, -1514, -1520, -1534, -1562?
-1610
What is the next term in 5640, 5488, 5336?
5184
What comes next: 53, 131, 201, 257, 293, 303?
281
What is the next term in -21, -30, -41, -54, -69, -86, -105?
-126
What comes next: -254, -761, -1524, -2543, -3818, -5349, -7136?
-9179
What is next in 118, 98, 62, 4, -82, -202, -362, -568?
-826
What is the next term in 17818, 35660, 53524, 71410, 89318, 107248, 125200?
143174
What is the next term in -445, -470, -487, -490, -473, -430, -355?
-242
What comes next: 11, 6, -17, -58, -117?
-194
What is next in 481016, 481015, 481014?
481013
What is the next term in -178671, -178616, -178465, -178170, -177683?
-176956
What is next in 11708, 23411, 35114, 46817, 58520?
70223
What is the next term in -2181, -4298, -6387, -8436, -10433?
-12366
What is the next term in 62203, 124404, 186605, 248806?
311007
What is next in 42, 189, 438, 789?
1242
What is the next term in -648, -646, -714, -888, -1204, -1698, -2406?
-3364
What is the next term in 558605, 558604, 558603?
558602
What is next in 56, -23, -162, -361?
-620
What comes next: -1002, -3972, -8910, -15810, -24666, -35472, -48222?
-62910
What is next in 11524, 11548, 11572, 11596, 11620, 11644?
11668
What is next in -2, -93, -288, -629, -1158, -1917?
-2948
What is next in 107, 506, 1583, 3674, 7115, 12242?
19391
What is the next term in -10, -26, -40, -52?
-62
What comes next: 1682, 6760, 15252, 27182, 42574, 61452, 83840, 109762?
139242
What comes next: -79800, -159598, -239396, -319194, -398992, -478790?
-558588
What is the next term in 914, 876, 822, 758, 690?
624
What is the next term in -5418, -5424, -5432, -5442, -5454, -5468?
-5484
What is the next term in -44667, -89328, -133991, -178656?
-223323
What is the next term in 3 | {
"pile_set_name": "DM Mathematics"
} |
1, a: 2, p: 1, w: 2, j: 1, y: 1}. Give prob of picking 1 p, 1 e, and 1 a.
1/28
Four letters picked without replacement from {r: 18, z: 2}. Give prob of picking 4 r.
12/19
Two letters picked without replacement from {h: 2, i: 1}. Give prob of picking 1 h and 1 i.
2/3
Two letters picked without replacement from {g: 1, e: 1, r: 2, i: 1, p: 2, l: 2}. Give prob of picking 1 i and 1 p.
1/18
Calculate prob of picking 1 c, 1 l, and 1 t when three letters picked without replacement from {c: 1, t: 1, y: 1, j: 1, p: 2, l: 1}.
1/35
Three letters picked without replacement from {r: 2, z: 1, c: 1, b: 1}. What is prob of picking 1 c, 1 b, and 1 z?
1/10
Four letters picked without replacement from {n: 4, v: 7}. What is prob of picking 3 n and 1 v?
14/165
Two letters picked without replacement from {a: 1, b: 5, o: 1, t: 3}. What is prob of picking 1 a and 1 t?
1/15
Two letters picked without replacement from ecpupppuepeututteeut. What is prob of picking 2 p?
1/19
Three letters picked without replacement from {p: 13, o: 5}. Give prob of picking 1 o and 2 p.
65/136
Calculate prob of picking 3 f and 1 y when four letters picked without replacement from {y: 7, f: 6}.
28/143
Four letters picked without replacement from {i: 10, z: 9}. What is prob of picking 4 z?
21/646
What is prob of picking 3 e and 1 v when four letters picked without replacement from veeveveeerverev?
8/39
Two letters picked without replacement from {c: 2, n: 1, k: 2, l: 1, e: 1, y: 1}. What is prob of picking 1 c and 1 k?
1/7
Calculate prob of picking 3 u when three letters picked without replacement from hhuhhuuh.
1/56
What is prob of picking 1 m, 1 l, and 1 s when three letters picked without replacement from anlmsseaemes?
3/110
Two letters picked without replacement from bddttdddbbdb. What is prob of picking 2 d?
5/22
Calculate prob of picking 1 n and 2 e when three letters picked without replacement from {o: 2, e: 11, n: 7}.
77/228
Three letters picked without replacement from zfffufufzuuzf. Give prob of picking 1 f and 2 z.
9/143
Three letters picked without replacement from {o: 3, j: 3, e: 12}. Give prob of picking 1 o and 2 e.
33/136
Two letters picked without replacement from {n: 3, m: 1, u: 7, b: 2, z: 5}. What is prob of picking 1 m and 1 u?
7/153
Four letters picked without replacement from bbbnbbnnnnbnnnbbnbnn. What is prob of picking 3 n and 1 b?
99/323
Two letters picked without replacement from dzzzzd. What is prob of picking 2 d?
1/15
Three letters picked without replacement from {k: 1, a: 2, f: 2, b: 1}. Give prob of picking 2 a and 1 k.
1/20
Four letters picked without replacement from ykzyzzkkykkky. What is prob of picking 2 y, 1 z, and 1 k?
108/715
Two letters picked without replacement from mvvgmvmmvmmivvq. What is prob of picking 2 m?
1/7
Two letters picked without replacement from {f: 1, k: 11, x: 6, m: 1, a: 1}. Give prob of picking 1 x and 1 m.
3/95
What is prob of picking 2 l and 1 c when three letters picked without replacement from {e: 8, l: 4, c: 5}?
3/68
Three letters picked without replacement from pdyftfpiyfiyydp. Give prob of picking 2 i and 1 p.
3/455
Three letters picked without replacement from {h: 11, j: 9}. What is prob of picking 3 j?
7/95
Calculate prob of picking 1 w, 1 e, and 1 t when three letters picked without replacement from inenwitnniwwan.
3/364
What is prob of picking 2 k and 1 x when three letters picked without replacement from {x: 1, k: 2, z: 2, w: 4}?
1/84
Two letters picked without replacement from {x: 3, s: 1}. What is prob of picking 2 x?
1/2
Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, x: 5, n: 1, h: 4, t: 5, m: 3}.
1/190
What is prob of picking 1 n and 1 e when two letters picked without replacement from {e: 5, n: 13}?
65/153
Two letters picked without replacement from {n: 3}. What is prob of picking 2 n?
1
What is prob of picking 2 d when two letters picked without replacement from {g: 2, d: 2, b: 1, f: 1, l: 3, z: 9}?
1/153
Three letters picked without replacement from mmgymgxgii. What is prob of picking 1 y, 1 m, and 1 x?
1/40
What is prob of picking 1 z, 2 i, and 1 b when four letters picked without replacement from {t: 3, z: 1, b: 8, y: 1, i: 6}?
10/323
What is prob of picking 4 m when four letters picked without replacement from smmmmmmmmmmmsmmmmmsm?
28/57
Three letters picked without replacement from xxhxxhhhxthhtxhxhxx. Give prob of picking 3 x.
28/323
Calculate prob of picking 1 a and 1 w when two letters picked without replacement from awaaaaaaaaaaa.
2/13
Three letters picked without replacement from {n: 1, u: 1, y: 8, l: 9}. What is prob of picking 2 l and 1 u?
12/323
Two letters picked without replacement from {r: 8, z: 3}. What is prob of picking 2 z?
3/55
What is prob of picking 2 x and 1 i when three letters picked without replacement from {o: 4, i: 1, x: 3}?
3/56
What is prob of picking 1 a and 3 f when four letters picked without replacement from {a: 3, f: 4}?
12/35
Two letters picked without replacement from twu. What is prob of picking 1 t and 1 w?
1/3
Calculate prob of picking 1 m and 1 g when two letters picked without replacement from {h: 7, y: 1, n: 4, g: 3, m: 4}.
4/57
Four letters picked without replacement from qqyyyqy. What is prob of picking 3 q and 1 y?
4/35
Calculate prob of picking 1 b, 2 l, and 1 r when four letters picked without replacement from {l: 2, m: 4, z: 2, p: 1, r: 2, b: 1}.
2/495
Three letters picked without replacement from {y: 1, f: 11, d: 8}. Give prob of picking 2 f and 1 y.
11/228
Two letters picked without replacement from {a: 2, r: 1, q: 1, g: 3, w: 5, x: 8}. What is prob of picking 2 w?
1/19
What is prob of picking 3 b and 1 y when four letters picked without replacement from {r: 1, b: 4, y: 9}?
36/1001
Two letters picked without replacement from {z: 2, u: 6}. What is prob of picking 1 u and 1 z?
3/7
Calculate prob of picking 2 v, 1 m, and 1 f when four letters picked without replacement from cvvvjcmffqc.
1/55
Four letters picked without replacement from {v: 5, h: 3, t: 3, n: 1, m: 7}. What is prob of picking 1 h, 1 n, and 2 t?
3/1292
What is prob of picking 3 d when three letters picked without replacement from fuuududfufdudduu?
1/56
What is prob of picking 1 b, 1 c, 1 a, and 1 q when four letters picked without replacement from gqbggaccbggb?
2/165
Calculate prob of picking 2 a when two letters picked without replacement from aaa.
1
Three letters picked without replacement from {i: 1, g: 3, k: 1, o: 4, m: 3, d: 3}. Give prob of picking 1 d, 1 o, and 1 k.
12/455
Four letters picked without replacement from cvcaqeleaaecqceellaa. What is prob of picking 1 v, 1 c, and 2 q?
4/4845
Calculate prob of picking 1 z and 1 c when two letters picked without replacement from czzozzcyvo.
8/45
Three letters picked without replacement from hhhhhhhjhhhh. What is prob of picking 3 h?
3/4
Three letters picked without replacement from llllddddlll. Give prob of picking 3 d.
4/165
Two letters picked without replacement from theccvq. What is prob of picking 1 v and 1 e?
1/21
Two letters picked without replacement from {x: 5, b: 14}. What is prob of picking 1 b and 1 x?
70/171
Four letters picked without replacement from {x: 3, y: 1, n: 1, z: 2, c: 3}. Give prob of picking 2 y, 1 x, and 1 z.
0
What is prob of picking 1 r, 2 l, and 1 d when four letters picked without replacement from {y: 1, r: 1, l: 2, j: 2, d: 1}?
1/35
What is prob of picking 1 u and 1 o when two letters picked without replacement from {u: 5, o: 7}?
35/66
Three letters picked without replacement from wwmwwmwmmwwwwm. What is prob of picking 2 m and 1 w?
45/182
Calculate prob of picking 1 a and 2 d when three letters picked without replacement from dacdsdaaaajjdjj.
6/91
Two letters picked without replacement from bxbsbbnm. What is prob of picking 1 s and 1 x?
1/28
What is prob of picking 2 e when two letters picked without replacement from vcvvrvemvevycye?
1/35
What is prob of picking 2 x and 1 k when three letters picked without replacement from {q: 1, k: 1, n: 7, e: 2, x: 4, o: 3}?
1/136
What is prob of picking 1 s and 1 c when two letters picked without replacement from ppccspelpeclpep?
1/35
What is prob of picking 2 s and 2 o when four letters picked without replacement from {s: 5, o: 13}?
13/51
C | {
"pile_set_name": "DM Mathematics"
} |
is the hundreds digit of 440927167?
1
What is the ten millions digit of 265908211?
6
What is the millions digit of 23056532?
3
What is the tens digit of 20798849?
4
What is the thousands digit of 7323932?
3
What is the thousands digit of 164316179?
6
What is the hundred thousands digit of 405229236?
2
What is the ten thousands digit of 143738929?
3
What is the millions digit of 61717980?
1
What is the tens digit of 17863405?
0
What is the hundreds digit of 243137379?
3
What is the hundreds digit of 5979198?
1
What is the hundred thousands digit of 968966793?
9
What is the hundred millions digit of 3230509083?
2
What is the thousands digit of 205408332?
8
What is the tens digit of 215228408?
0
What is the hundred thousands digit of 2920093636?
0
What is the hundred thousands digit of 45936271?
9
What is the units digit of 854376828?
8
What is the hundred thousands digit of 1231918383?
9
What is the hundreds digit of 174408133?
1
What is the ten thousands digit of 15196734?
9
What is the hundred thousands digit of 397747580?
7
What is the ten thousands digit of 53919002?
1
What is the billions digit of 1077483500?
1
What is the hundreds digit of 155066727?
7
What is the hundreds digit of 2596366430?
4
What is the hundred thousands digit of 32496798?
4
What is the hundred millions digit of 747635136?
7
What is the thousands digit of 12581182?
1
What is the units digit of 5370853346?
6
What is the hundred thousands digit of 26188456?
1
What is the hundred thousands digit of 120581527?
5
What is the ten thousands digit of 37801193?
0
What is the thousands digit of 61713025?
3
What is the units digit of 2867285653?
3
What is the hundreds digit of 4436763332?
3
What is the thousands digit of 2386422691?
2
What is the hundred millions digit of 917503371?
9
What is the hundreds digit of 47823132?
1
What is the ten thousands digit of 42134957?
3
What is the thousands digit of 8557683309?
3
What is the tens digit of 126726843?
4
What is the units digit of 662437585?
5
What is the hundreds digit of 4144430?
4
What is the ten millions digit of 2331350845?
3
What is the units digit of 24953017?
7
What is the tens digit of 562386948?
4
What is the hundred thousands digit of 98713540?
7
What is the tens digit of 6934725121?
2
What is the millions digit of 155181331?
5
What is the ten thousands digit of 513191214?
9
What is the units digit of 5284651057?
7
What is the tens digit of 586082713?
1
What is the tens digit of 207102493?
9
What is the units digit of 20995614?
4
What is the ten millions digit of 89414540?
8
What is the hundred thousands digit of 33826195?
8
What is the ten thousands digit of 689657076?
5
What is the hundreds digit of 617405118?
1
What is the hundred millions digit of 145012300?
1
What is the tens digit of 22276774?
7
What is the tens digit of 941019769?
6
What is the hundreds digit of 83076666?
6
What is the ten thousands digit of 3789298071?
9
What is the millions digit of 935011168?
5
What is the hundreds digit of 4855150004?
0
What is the hundred millions digit of 1007531716?
0
What is the hundred thousands digit of 57801820?
8
What is the ten millions digit of 60185252?
6
What is the ten thousands digit of 49679829?
7
What is the ten thousands digit of 296379079?
7
What is the hundred thousands digit of 6464653326?
6
What is the ten thousands digit of 32926504?
2
What is the hundred thousands digit of 480612901?
6
What is the millions digit of 2109154642?
9
What is the tens digit of 4344648872?
7
What is the units digit of 721500274?
4
What is the tens digit of 446260457?
5
What is the millions digit of 183759102?
3
What is the tens digit of 47542366?
6
What is the ten millions digit of 122355942?
2
What is the thousands digit of 399866499?
6
What is the ten millions digit of 689012343?
8
What is the hundreds digit of 352830124?
1
What is the tens digit of 2412424655?
5
What is the units digit of 1523306600?
0
What is the hundreds digit of 189831287?
2
What is the hundreds digit of 198570101?
1
What is the hundreds digit of 13077094?
0
What is the thousands digit of 2934952534?
2
What is the hundred thousands digit of 154043979?
0
What is the thousands digit of 49477935?
7
What is the hundreds digit of 43814128?
1
What is the tens digit of 326104750?
5
What is the hundred millions digit of 306371533?
3
What is the hundred millions digit of 7146201975?
1
What is the tens digit of 1436216217?
1
What is the hundred thousands digit of 205776204?
7
What is the hundred thousands digit of 50625052?
6
What is the tens digit of 2114792741?
4
What is the ten millions digit of 20531342?
2
What is the units digit of 6933883535?
5
What is the hundred thousands digit of 543148391?
1
What is the millions digit of 27948059?
7
What is the hundred thousands digit of 116916385?
9
What is the thousands digit of 48204206?
4
What is the thousands digit of 557208475?
8
What is the ten millions digit of 397489660?
9
What is the units digit of 5296092789?
9
What is the ten thousands digit of 73748743?
4
What is the ten thousands digit of 49742697?
4
What is the tens digit of 380145248?
4
What is the ten thousands digit of 1702176199?
7
What is the hundred thousands digit of 1671662458?
6
What is the millions digit of 42811597?
2
What is the ten millions digit of 377570008?
7
What is the ten millions digit of 1634386008?
3
What is the hundreds digit of 49682768?
7
What is the hundreds digit of 58006149?
1
What is the hundred thousands digit of 76642839?
6
What is the units digit of 16225364?
4
What is the ten millions digit of 86427948?
8
What is the hundreds digit of 36111619?
6
What is the hundred millions digit of 5465163925?
4
What is the ten millions digit of 4304793035?
0
What is the tens digit of 332152819?
1
What is the hundred thousands digit of 1854919401?
9
What is the units digit of 107114389?
9
What is the millions digit of 24819207?
4
What is the hundred thousands digit of 30975679?
9
What is the ten millions digit of 81643018?
8
What is the millions digit of 5760551065?
0
What is the millions digit of 127372469?
7
What is the units digit of 279033873?
3
What is the millions digit of 298857227?
8
What is the hundreds digit of 21299782?
7
What is the units digit of 1487912237?
7
What is the tens digit of 6137456?
5
What is the units digit of 134123022?
2
What is the ten thousands digit of 19917466?
1
What is the hundreds digit of 1870675?
6
What is the units digit of 135989881?
1
What is the tens digit of 161246753?
5
What is the ten thousands digit of 31782436?
8
What is the tens digit of 1020061240?
4
What is the millions digit of 48477622?
8
What is the ten thousands digit of 1291264397?
6
What is the hundreds digit of 2639931?
9
What is the billions digit of 6723864782?
6
What is the thousands digit of 503383173?
3
What is the millions digit of 5159289169?
9
What is the ten thousands digit of 65678191?
7
What is the tens digit of 7076625?
2
What is the ten thousands digit of 28409486?
0
What is the thousands digit of 29268960?
8
What is the units digit of 324306316?
6
What is the millions digit of 1121180635?
1
What is the tens digit of 328288690?
9
What is the hundreds digit of 1025568692?
6
What is the units digit of 1057856580?
0
What is the thousands digit of 204341376?
1
What is the hundred millions digit of 969921178?
9
What is the hundreds digit of 1705218513?
5
What is the hundred thousands digit of 265179726?
1
What is the hundred thousands digit of 2509682356?
6
What is the units digit of 224063285?
5
What is the millions digit of 121994253?
1
What is the thousands digit of 56180132?
0
What is the thousands digit of 73402973?
2
What is the hundred millions digit of 1055600368?
0
What is the hundred thousands digit of 55516228?
5
What is the tens digit of 24400531?
3
What is the thousands digit of 38928064?
8
What is the hundreds digit of 236401965?
9
What is the millions digit of 1175075447?
5
What is the millions digit of 44032136?
4
What is the ten thousands digit of 163100206?
0
What is the thousands digit of 1827236264?
6
What is the thousands digit of 50763001?
3
What is the units digit of 1322981398?
8
What is the hundred thousands digit of 145457410?
4
What is the millions digit of 66235190?
6
What is the ten thousand | {
"pile_set_name": "DM Mathematics"
} |
-1/4 in p, l, i?
p
Let r = -281 + 281.3. Which is the closest to 1? (a) r (b) 0.8 (c) 1 (d) 3
c
Let z = 0.163 - -0.837. What is the closest to -11 in 4, z, 3?
z
Let v(w) = -w**3 - 4*w**2 + 12*w - 1. Suppose 12 = -2*q + 3*l, -2*q + l + 12 = -4*q. Let r be v(q). What is the nearest to 0.1 in 0.2, r, 0.04?
0.04
Let u = 13.2 - 13.2. What is the nearest to u in 0.1, 12, -3, 0?
0
Let s = 2143/3392 + -31/53. Let y = s - 155/576. Let i be ((-1)/(2 - 1))/1. Which is the nearest to -3? (a) -0.5 (b) y (c) i
c
Suppose 26 = p + 21. Let s be (1 - 16/10)*1. Which is the closest to 4? (a) p (b) s (c) 2
a
Let y = -18710 + 94222/5. Let t = y - 134. What is the nearest to -1 in 2/7, t, -5?
2/7
Let s be 3 + 0 - (-55)/5. Let v(l) = -l + 15. Let j be v(s). Let t = -6 + 5.7. Which is the closest to 0.1? (a) j (b) -5 (c) t
c
Suppose -3 = -o + p, 4*o + 3*p - 5 = -14. Let s = 2.5 + -3. Let b = -166/7 + 167/7. What is the closest to o in b, -1, s?
b
Let d = -4 + 8. Let u be (-160)/(-25) + (-5 - 1). Which is the closest to 1/9? (a) d (b) 1/7 (c) u
b
Let x be (-12)/(-260) - 3/15. Let p = 93 + -88. What is the nearest to x in 0.4, -3, p?
0.4
Let y = 13 + -78. Let r = 68.1 + y. Let o = r - 3. What is the closest to 1 in 5, o, -1?
o
Let u = -0.24 - 51.76. Let y = 49 + u. What is the closest to 1 in y, 7, 1/5?
1/5
Let f = -0.35 - -78.35. Let h = 75 - f. Let q = -21 - -43/2. Which is the closest to 0? (a) 0.2 (b) h (c) q
a
Let m = -2/43 + 116/645. Let n = -81 - -77. Which is the closest to 0.3? (a) m (b) -2/19 (c) n
a
Let s(o) = o**3 - 3*o**2 + 3*o - 1. Let v be s(2). Let g = -2/11533 + -11529/23066. Which is the nearest to g? (a) 2 (b) v (c) -1
c
Let k(p) = -4*p + 4. Let f(r) = -1. Let m(z) = 2*f(z) + k(z). Let d be m(1). Let x be -3 + (-2)/12 + 3. Which is the closest to d? (a) -5 (b) -2/13 (c) x
c
Let p = -146 + 147. Which is the nearest to -0.1? (a) -1 (b) -33 (c) p
a
Let z = 28.6 - 28.8. Suppose -3*c + 6*c = -h + 4, -14 = 2*h - 5*c. What is the nearest to 3 in h, z, 3?
3
Let v = 1122 + -1174.1. Let x = 52 + v. Which is the nearest to 2/7? (a) 3 (b) x (c) 1/4
c
Let m = -352601/5 + 520794772/7385. Let k = -2/211 - m. Which is the nearest to 1? (a) k (b) 1 (c) 0
b
Let r = 5.3 - 1.3. Let m = 81 + -78. What is the nearest to m in 0.1, r, -1?
r
Let o = -6.7 - -7. Let l = 295 - 295. Let f = 9.4 - 9.3. Which is the nearest to f? (a) o (b) 2/13 (c) l
b
Let m(o) = -o - 6 - 3 - 9 + 4. Let h be m(-15). Suppose -2 - 4 = 2*d, -3*u - 15 = 5*d. What is the closest to h in u, -0.4, 4?
u
Let o = -6 + 6.4. Let p = 2 + -5. Let m = 64 - 64.1. What is the nearest to m in -0.4, p, o?
-0.4
Let q = 0.1614 + -0.0214. What is the closest to -2 in q, 4, 1?
q
Let i = -22 - -26. Suppose 2*f = -i, 3*j + 9 = 2*j - f. Which is the nearest to -1/3? (a) -0.5 (b) j (c) 5
a
Let n = 39 + -39.3. Let q(d) = d**2 - 5*d + 2. Let g be q(5). Let i be ((-68)/9)/(-4) - g. Which is the closest to -1? (a) n (b) -3/4 (c) i
b
Let y = -9.69 + 10.69. Which is the nearest to -3? (a) y (b) 2 (c) -5
c
Let z = -9.21 + 8.91. What is the closest to -2/3 in 0.3, z, -3?
z
Let f = -0.04 + -0.16. Suppose -24 = 4*n + 2*n. What is the closest to f in -0.1, n, -1/9?
-1/9
Let m = 0.27 - -0.01. Let w = m - 0.28. Let r = 1 + -1.1. Which is the closest to r? (a) w (b) -0.4 (c) -0.3
a
Let r = 153/40 - 21/5. Let p = 0.63 + -0.23. Let z = 63 - 191/3. Which is the nearest to z? (a) r (b) 0.1 (c) p
a
Let u = -0.2 + 0. Let h = -8.9 + 9. Let g be (2/4)/(4/12). Which is the closest to h? (a) 1/2 (b) u (c) g
b
Let x = 5.8 + -1.8. Let i = x - 3. Which is the nearest to i? (a) -0.5 (b) 2/5 (c) 0.3
b
Suppose 2*c = -c. Let q be (-1)/(c + 1/(-16)). Let t be 2/8 - (-4)/q. What is the closest to t in 1, 0.2, 5?
0.2
Let t = 1.5 - 2.1. Let q = -0.8 - t. What is the nearest to q in -4, -3, 1/4?
1/4
Let p(b) = b**3 + 6*b**2 - 5*b - 3. Let o be p(-3). Suppose 0 = -5*j - 15, a - 2*j = -4*a - o. Let v = -3.9 + 4. What is the nearest to v in 4, a, 1?
1
Let c = -3.3 + 3. Let u = 0.2 - 0.2. Let o = -86 + 87. What is the closest to -2/11 in o, c, u?
c
Let l = -3320 - -3320. Let u be (-14)/12 + 1/1. Which is the nearest to l? (a) 0.5 (b) -4 (c) u
c
Suppose -15*a + 10*a - 5 = -5*v, 0 = -13*v - 52. Let m = -124/195 - 2/65. What is the nearest to 0 in a, m, 1?
m
Let f be (4/6)/((-1)/18). Let m be (-8)/f*3/5. Let n = -33/5 + 7. Which is the closest to m? (a) n (b) 5 (c) -0.3
a
Let n be (-4)/(-6)*18/24. Let b = 677/315 + -53/7. Let h = b - -56/9. What is the closest to n in h, 7, 1?
h
Let q be 27/(-3)*3/6 - -3. Which is the closest to 9? (a) 3/4 (b) q (c) 5
c
Let k = -68.97 - -72. Let r = -0.03 + k. Let i = -453/7 + 65. Which is the nearest to -2? (a) i (b) -0.2 (c) r
b
Let n = 508 + -513. What is the closest to -0.1 in 0.3, 1/4, 0.01, n?
0.01
Let m = 1189 - 1189.5. What is the closest to -0.6 in -3/4, 9, m?
m
Let s = 0.264 - 4.264. Which is the nearest to -1? (a) 3 (b) -4/3 (c) s
b
Let w = 10 + -6. Let o(y) = -4*y + 4. Let h be o(0). Suppose -4*n + 24 = -0*j - h*j, 0 = -3*j + w*n - 20. Which is the closest to -0.2? (a) j (b) 3 (c) 2
c
Suppose 66 = -5*x + 3*i, 3*x + i = -4*i - 26. Which is the closest to 2? (a) -4 (b) x (c) -0.2
c
Let r = 124.8 - 125. What is the nearest to 0.8 in r, -0.4, 3/7?
3/7
Let t = 66 + -71. Suppose s + 2*l = -9, 7*l + 29 = 4*s + 2*l. Let o be (-3)/t - (s + 0). Which is the closest to 2? (a) 0.1 (b) -0.1 (c) o
a
Let h = 0.299 + 17.401. What is the closest to -0.1 in 5, 0.4, h?
0.4
Let i = -472 + 478. Which is the closest to -1? (a) -0.4 (b) 4 (c) -2 (d) i
a
Suppose 3*x + 24 = 3*h, -4*x + 0*x = -20. Let v = 10 - h. Let p = -27 + 25. What is the closest to 1/2 in -0.5, v, p?
-0.5
Let n = -0.254 - 3.746. What is the nearest to -1 in -5, n, -3/5?
-3/5
Let i = -1.1 + 5.1. Let b = -5.969 - 0.031. Let h = i + b. What is the closest to h in 0.2, -2/5, -0.5?
-0.5
Suppose -2*l + 3*p - 42 = 0, 0 = -5*l - 0*p + 4*p - 98. Let r be 42/(-16) + l/48. What is the nearest to 1 in -2/5, r, -18?
-2/5
Let m(n) = n**2 - 3*n - 3. Let z be m(6). Let h = z + -16. Let g be h*(22/6 - 3). What is the closest to -2 in 0.1, -1/2, g?
g
Suppose 6*k = k + 5. Let g be (k/(-2))/(3/292). Let c = g - -48. What is the closest to c in 1, 1/2, -3?
1/2
Let h be (-10)/(10 + (3 - 9)). Which is the closest to -2? (a) h (b) 8 (c) 1/9
a
Let u = 1178 + -8250/7. Which is the closest to -0.1? (a) u (b) -2 (c) -1 (d) 3
a
Let j = -445 - -444. Which is the closest to j? (a) 1/7 (b) 5 (c) -1 (d) -2
c
Let b = 0 + -2. Let x = -1557/140 - -9/28. Let w = 427/40 + x. What is the closest to b in 2, 2/9, w?
w
Let j = -1.087 - -0.287. Let g = 0.2 + -0.3. Which is the nearest to g? (a) j (b) -2 (c) -1
a
Suppose -41 + 16 = 5*c. Let n be (2/(-30))/(c/15). Let y be (-26)/(-42) - (-4)/(-14). What is the closest to 2/5 in y, n, 1?
y
Let r = -0.1 - 0.4. Let w be (-194*6/(-20))/(-1). Let j = w + 58. Which is the nearest to -1? (a) j (b) r (c) 1/4
b
Let n = -1.5 + 1.26. Let s = n - 0.06. Let p be (375/(-150))/((-30)/8). Which is the closest to p? (a) 2/3 (b) 0 (c) s
a
Let m = 1822 + -1819.049. Let v = -0.049 - m. Suppose 0 = 4*n - 2*o + 4, n + 3*o = 5*n + 4. Which is the nearest to n? (a) -0.5 (b) 4/3 (c) v
a
Let j = 367/3 + -124. Let g be (10/(-25))/((-20)/30). Which is the closest to 0? (a) g (b) j (c) -3
a
Let s = 0.08 + -5.08. Suppose 0 = 9*r - 64 + 46. What is the closest to 0.2 in s, -3, r?
r
Let s be (-1)/(15/6 + -2). Let p(t) be the second derivative of -t**3/6 + 2*t**2 - 5*t. Let d be p(6). What is the closest to d in -1, s, 4?
s
Let y = -0.39 + 0.399. Let o = 0.009 - y. Which is the closest to -3? (a) -2/3 (b) o (c) -0.3
a
Let q = 3/8 - -1/8. Let i = -120 + 119.9. What is the nearest to i in q, 0.3, -2?
0.3
Let t = 154.6 - 170. Let v = t + 15. Which is the nearest to -1? (a) -1 (b) v (c) 0.5
a
Let h = 0.8 + -0.7. Let f = h - -0.1. What is the closest to 0.3 in -2, 0.3, f?
0.3
Let g = 0.0089 + 4.9911. What is the closest to 0 in -0.1, -2, g, 1?
-0.1
Let n = -0.7 + 0.4. Let p = 11 - 10.8. Let l = 0.18 - p. What is the nearest to -1/4 in l, 2/5, n?
n
Let i(w) = -w**3 + 5*w**2 - 4*w + 21. Let n be i(5). Let v = 0.1 + 0.3. Let k(x) = 2*x + 29. Let o be k(-14). Which is the nearest to n? | {
"pile_set_name": "DM Mathematics"
} |
iple of 26?
False
Let y = 42 - 26. Is (-2)/(y/(-50))*4 a multiple of 19?
False
Let b(t) = t**2 - 3*t + 7. Is b(8) a multiple of 29?
False
Let c(o) = 5*o**2 - 4*o + 4. Let v be c(6). Suppose 7*s = 2*s + v. Does 18 divide s?
False
Suppose 0*q - 2*q = 18. Let v = q + 11. Suppose j = v*j - 17. Is j a multiple of 11?
False
Suppose -3*j + 311 = 131. Let c(m) = 3*m**3 + 2*m**2 - 3*m. Let g be c(2). Let o = j - g. Is o a multiple of 9?
False
Suppose z - 3*h + 93 = 0, 5*h = -0*z - 3*z - 279. Let j = 180 + z. Is 29 a factor of j?
True
Suppose 4*c + 0*z + z = -36, 4*z + 36 = -4*c. Let x(p) = -p**3 - 8*p**2 + 7*p - 7. Does 5 divide x(c)?
False
Let a(x) = -x**3 - 2*x**2 + 10*x + 13. Is 26 a factor of a(-6)?
False
Let x(f) = f**2 - 8*f - 9. Let k be x(9). Let r = k - -2. Suppose 4*u = -g, -5*g = -r*u - 2*u - 72. Is g a multiple of 6?
True
Suppose -n = z - 1, -2*n - 2*n + z - 6 = 0. Let j = n + 53. Is j a multiple of 18?
False
Suppose -3*c + 10 = 5*n, -4*c + 6 = 2*n + n. Suppose n*x - 8 = -2*x. Suppose -23 = -5*f + x. Does 3 divide f?
False
Let g = 21 + -15. Suppose n = 4*n - j - 11, 2*j = -2*n - g. Does 14 divide 14 - n*(1 + -2)?
False
Suppose 0 = 5*k - 7*k + 18. Is k a multiple of 9?
True
Let y = -1 + 3. Let w be (-1*1)/(y/24). Let a = w - -22. Is a a multiple of 9?
False
Let c(i) = 2*i**2 + 4*i + 4. Is 26 a factor of c(-6)?
True
Let f = -33 - -81. Is 16 a factor of f?
True
Let b = 632 - 350. Is 44 a factor of b?
False
Suppose -3*z - 169 = 134. Let b = z + 143. Suppose 178 - b = 4*g. Does 17 divide g?
True
Let v(s) = -s**3 - 7*s**2 - 7*s - 2. Let h be v(-6). Suppose -4*d + 154 - 2 = -4*i, -3*i = h*d - 166. Is 10 a factor of d?
True
Suppose 7*h = -8*h + 150. Is h even?
True
Let u(g) = -g**3 - 31*g**2 + 29*g - 34. Is u(-32) a multiple of 31?
True
Suppose -16*x = -18*x + 150. Is 6 a factor of x?
False
Let a be -1*(-2)/2*-1. Let u = a - -11. Suppose 2*g = -3*b + 56, -2*g = -4*g - u. Is b a multiple of 11?
True
Let k be -3 - (-11 - (0 - 3)). Suppose -207 = w - 5*w - k*l, -111 = -2*w - 5*l. Is 11 a factor of w?
False
Is 6 a factor of 74/6 + 4/(-12)?
True
Does 53 divide (-15)/20*4 + 321?
True
Let k = 111 + -58. Suppose -j = -10 - k. Is 21 a factor of j?
True
Does 19 divide (-6)/((56/(-1386))/(4/6))?
False
Let a(y) = -6*y**3 + 5*y**2 + 7*y - 4. Let v(m) = -m**3 + m**2 + m - 1. Let z(n) = -a(n) + 5*v(n). Is z(2) a multiple of 3?
True
Let j = -33 + 72. Does 13 divide j?
True
Let r(o) = -o**3 - 13*o**2 + 7*o - 11. Does 29 divide r(-14)?
True
Suppose -g = 3*n + 313, g - 305 = 3*n - 0*g. Let o = -71 - n. Does 23 divide o?
False
Suppose -3*n - 80 = -7*n. Is 10 a factor of n?
True
Let a(c) = 3 + 2 + 1 + 2*c**3 + 7*c**2 + 5*c - c**3. Is a(-6) a multiple of 6?
True
Let o = 4 - 0. Let h = -43 - -67. Suppose -o*m + 0*m + h = 0. Is m a multiple of 6?
True
Suppose -120 + 0 = -4*q. Is q a multiple of 6?
True
Suppose 3*p - 7*p = 4. Let r = 14 - p. Is 5 a factor of r?
True
Let r(p) = p - 7. Let j be r(5). Is 24 a factor of 101/2 - 1/j?
False
Suppose 0 = -h - 2*n + 14, -4*h + 3*h + 29 = 5*n. Is 12 a factor of (-488)/(-20) - h/10?
True
Let j(w) = -4*w + w**2 - 6 + 2*w + 7. Does 7 divide j(5)?
False
Suppose -f + 8 = 3*f. Does 8 divide (-162)/(-10) - f/10?
True
Let n(d) = 5*d**2 - 2*d - 2. Does 14 divide n(-3)?
False
Let c be -1 - -4 - (-71 + 0). Let j = -39 + c. Is j a multiple of 15?
False
Suppose -5*p + 105 = -3*j + j, 5*p - 70 = -5*j. Suppose 5 = 3*i - p. Does 8 divide i?
True
Let t(b) = -b**3 + 3*b**2 + 5*b + 1. Suppose -s = -2*k - 0*s + 12, -5*k + s + 24 = 0. Let c be t(k). Let x(m) = m**3 - 5*m**2 + 6*m - 3. Does 9 divide x(c)?
True
Suppose 2 = -2*m + v, m - v = 2*v + 4. Is 8 a factor of ((-40)/(-25))/(m/(-20))?
True
Let f(y) = -y + 0*y**3 + 2*y + y**3. Suppose -2 = -4*p + 6. Is f(p) a multiple of 9?
False
Let p(l) be the third derivative of -3*l**4/8 + 11*l**3/6 + 6*l**2. Does 13 divide p(-6)?
True
Let s(g) = -36*g + 22. Is 31 a factor of s(-8)?
True
Let g(m) = m**2 + 4. Let u be g(0). Suppose -91 = -u*w + 53. Does 14 divide w?
False
Let l(w) = w**3 - 5*w**2 + 1. Let h be l(5). Suppose t - 342 = -5*q, -3*t + 5 = -h. Suppose -d + 2*d = -5*j + q, d = -j + 12. Does 8 divide j?
False
Let b = -97 - -69. Let g be (-2202)/(-54) - (-2)/9. Let j = b + g. Does 13 divide j?
True
Let o = 6 + -3. Suppose 7 = o*m - 5. Suppose 2*p + m = -0*p, 3*p + 100 = 2*f. Is 13 a factor of f?
False
Let b be (-6 - -3)*(-10)/6. Is 46/(-5)*(0 - b) a multiple of 23?
True
Let o be (-33)/3 + 3 + -2. Let d be (1 - -14)*(-18)/o. Let j = d - -5. Is j a multiple of 16?
True
Let f = -1 - -1. Let m = f - -8. Is m a multiple of 4?
True
Let b(x) = x**3 + 3*x**2 - 2*x + 1. Let u be b(2). Let w = u + -9. Is w a multiple of 3?
False
Let x(p) = p**3 + 13*p**2 + 10*p - 7. Is x(-12) a multiple of 6?
False
Let a(r) = -r**2 - r. Let u(h) be the third derivative of -h**5/20 - 7*h**4/24 - h**3/2 - 2*h**2. Let f(g) = 2*a(g) - u(g). Does 7 divide f(-8)?
False
Let f(u) = u**3 + 5*u**2 - 7*u - 2. Let i be f(-6). Let l = i - 1. Does 2 divide l?
False
Let o(h) = -h**3 - 6*h**2 - 6*h + 1. Let x be (-56)/(-26) + 6/(-39). Suppose -j + 4*j + 11 = 4*m, 4*j + x*m = -22. Is 4 a factor of o(j)?
False
Suppose -2*h + 3*r + 10 + 1 = 0, -3*h + 3*r + 18 = 0. Let f = h + -4. Is (-3)/(-4)*(33 + f) a multiple of 16?
False
Let q(g) be the second derivative of -g**5/20 + g**3/6 + 7*g**2 - 2*g. Is q(0) a multiple of 7?
True
Let t = -2 - -2. Suppose t*s + s = 27. Suppose 4*k - s = k. Is 9 a factor of k?
True
Let n = -65 - -112. Is n a multiple of 17?
False
Suppose -8 = -4*y - 32. Let r(b) be the third derivative of -b**6/120 - b**5/10 - 7*b**4/24 - b**3/3 + b**2. Is r(y) a multiple of 11?
False
Suppose j + 2 = -t - 4, 0 = -3*t + 2*j - 8. Let q(i) = 3*i**2 + 4*i - 6. Does 21 divide q(t)?
False
Let d be ((-10)/(-6))/(1/6). Suppose 2*n + 3*b - d + 3 = 0, 3*n = 5*b + 1. Suppose 5*h + 3*k - 84 = 0, 4*h + 21 - 75 = n*k. Is h a multiple of 12?
False
Suppose -5*x + 38 - 3 = 0. Suppose 93 = -4*s + x*s. Is 14 a factor of s?
False
Let o(x) = -x + 25. Does 7 divide o(6)?
False
Let v be (3 + -2)/(1/17). Suppose 0 = -3*z - v + 68. Is 9 a factor of z?
False
Let a be 5/((-10)/6) + 6. Suppose -2*i + a + 57 = 0. Is 11 a factor of i?
False
Let q be (-10)/(1 - (0 + 2)). Let b = 28 - q. Is 9 a factor of b?
True
Let l = 8 - 13. Is (l - -3)*27/(-3) a multiple of 15?
False
Let y = 726 + -418. Does 29 divide y?
False
Suppose 3*w + 12 = x, 5*w - 33 = 5*x - 103. Is x a multiple of 7?
False
Let n(o) be the first derivative of o**3/3 + 5*o**2/2 + 6*o - 3. Does 14 divide n(-8)?
False
Suppose -w = -4*w + 36. Is 2 a factor of w?
True
Suppose m = -3*p, -2*m - 2*m = 5*p. Let l = p - -2. Does 2 divide l?
True
Suppose 5*b + 17 = 3*s, -4*s + 2*s + 5*b + 13 = 0. Suppose -2*u = -s, -d - 4*u + 3 = -48. Does 11 divide d?
False
Suppose 2*q - 5 + 1 = 0. Does 23 divide ((-46)/(-8))/(q/8)?
True
Let r = -3 - -3. Let m be (-6)/(-3) + 3/(-1). Does 13 divide (0 - -27) + r + m?
True
Let f = 3 - 0. Let h = 3 + f. Does 4 divide h/27 - (-34)/9?
True
Let a(x) = -7*x - 2. Let p be a(-2). Is -3*(920/p)/(-5) a multiple of 13?
False
Let l(h) = 3*h - 2. Let p be l(2). Let o = -4 - -5. Is (p/(-8))/(o/(-32)) a multiple of 6?
False
Let p(g) = g + 5. Let z be p(6). Suppose 4 = 5*y - z. Is 3 a factor of y?
True
Suppose 544 - 220 = 9*y. Is y a multiple of 18?
True
Let a be 1*(3 + 26) - 2. Suppose 16 + a = o. Does 14 divide o?
False
Suppose 5 = -0*d + d. Suppose -5*w - 12 - 8 = -5*v, -4*w = -d*v + 21. Suppose f = v*f - x - 142, 0 = 2*f - x - 70. Is 12 a factor of f?
True
Let q(r) = -r**3 - 3*r**2 + r + 4. Is 18 a factor of q(-5)?
False
Let u be -7*(-3)/(4 - 1). Let o be u + (-2 - (1 + 0)). Suppose -93 = -o*j - 21. Is j a multiple of 6?
True
Let p(h) = 0*h + 1 + h + 1. Let d be (-1 + -2)*(1 + -3). Is 3 a factor of p(d)?
False
Let d(r) = 2*r - 8. Let n be d(7). Let o be (-263)/(-5) + n/15. Suppose -a + o = 5*b, 5*a + 3*b - 196 = b. Does 19 divide a?
True
Suppose 0 = -4*l + v + 420, 4*l + 4*v = 228 + 172. Does 15 divide l?
False
Let o(x) = -2*x**2 - 2*x + 230. Does 23 divide o(0)?
True
Let h be 204/10*5/2. Suppose h = 2*b - b. Is b a multiple of 17?
True
Let q(r) = -r**2 - 3*r + 2. Let h be q(-3). Suppose h*z + 2*p + 2*p = -4, -3*z + 6 = 2*p. Suppose 0 = z*y - 11 - 53. Does 8 divide y?
True
Let p(u) = u**2 + 6*u + | {
"pile_set_name": "DM Mathematics"
} |
t(12)) + sqrt(12))/(-4*sqrt(64)) + ((sqrt(3072))**2 - sqrt(1536)/sqrt(8)).
-145*sqrt(3)/16 + 3072
Simplify -6*(-4 + (sqrt(242) - ((1*sqrt(242))**2 + -2))*-2 + 3) + 4.
-2870 + 132*sqrt(2)
Simplify (-4*(-2*sqrt(6912) - sqrt(48)))/((sqrt(864) - (sqrt(864) - 4*sqrt(864)*-1)) + 3*(-1*sqrt(864) + sqrt(864))).
-25*sqrt(2)/6
Simplify (5*(-5 + sqrt(1728) + -2) + ((1 + sqrt(48))*-5 - sqrt(48)) + sqrt(48) + sqrt(2352)*1)**2.
-10240*sqrt(3) + 50752
Simplify (-1*(-5 + -1 + sqrt(245) + sqrt(245) + -5 + sqrt(245) + 1 + -4)*-3*-6)**2.
-190512*sqrt(5) + 777924
Simplify (sqrt(63) - sqrt(189)/sqrt(3)*6)/(sqrt(9)*-2*2)*5 - (sqrt(84) - (sqrt(84)*-2 - sqrt(84))*3)/(3*sqrt(432)).
205*sqrt(7)/36
Simplify (3*(6*(sqrt(2880) + 0 - sqrt(2880)) + (sqrt(2880) - (-3*sqrt(2880) + -4)) + -2))**2.
3456*sqrt(5) + 414756
Simplify 2*(2 + (sqrt(84) + (sqrt(84) + (-5*(sqrt(84) + -1*sqrt(84) - sqrt(84)) - sqrt(84)) + sqrt(84) - sqrt(84)) - sqrt(84))/(-5*sqrt(28)) + -4).
-4 - 2*sqrt(3)
Simplify ((1*((sqrt(22) - (sqrt(22) + sqrt(88)*-4)) + sqrt(22) + sqrt(22)))/(-1*sqrt(33)/sqrt(3)*3) + 1)**2*-5.
-1045/9 + 100*sqrt(2)/3
Simplify 3 + (sqrt(15)/(1*sqrt(3)) + sqrt(10)/sqrt(8))**2 - (((sqrt(405) - -3*sqrt(405)) + sqrt(5) - (0 + sqrt(5))*-3) + 4).
-40*sqrt(5) + 41/4
Simplify (1*(sqrt(378)/sqrt(6) + 0 + -1*(sqrt(14)/(sqrt(32) - sqrt(2)) + sqrt(7) + sqrt(7))))**2.
28/9
Simplify ((sqrt(228) - (sqrt(228)*-1 + sqrt(228)) - sqrt(228) - sqrt(228))*-5 - 3*(sqrt(228) + sqrt(228)*2))/(-5*-1*sqrt(432)).
-2*sqrt(19)/15
Simplify (-1 + (-4*(sqrt(5000) + 1 + 4) - 4*(-2*(0 + sqrt(5000)) + sqrt(5000))))**2.
441
Simplify ((sqrt(891) + 3 + sqrt(891)*-2 + sqrt(891))*5 + -5*-2*(sqrt(396) - (0 + sqrt(396))))**2.
225
Simplify -5*(-4*(sqrt(1053) + sqrt(1053) + 1 + sqrt(1053) + -4)**2 + (sqrt(52)/(sqrt(4)*-2) - (sqrt(13)*-2 + -2))).
-6495*sqrt(13)/2 + 189710
Simplify -4 + sqrt(2736) + sqrt(2736)*-1 + (sqrt(19) + sqrt(19) + (sqrt(19) - (sqrt(19) + 1)))*1 + ((3*sqrt(171)*1)/(sqrt(9)*-1*2))**2.
2*sqrt(19) + 151/4
Simplify (sqrt(40)/(2*sqrt(2)))/(sqrt(30)/sqrt(3)*2 + sqrt(10)) - (1 + sqrt(200) + sqrt(200) + 0 + 4)**2.
-825 - 1199*sqrt(2)/6
Simplify ((sqrt(100)*2*4 - sqrt(100))/((-2*sqrt(22) - sqrt(22))/sqrt(11)))/(((-2*sqrt(110) + sqrt(110) - sqrt(110))*-2)/(sqrt(88)/sqrt(2))).
-7*sqrt(5)/6
Simplify (-2*((sqrt(832) - (sqrt(832) - (sqrt(832) - (sqrt(832) + 2)*1) - sqrt(832))) + -1 + (sqrt(832) + sqrt(832)*-2)*6 + 2))**2.
320*sqrt(13) + 83204
Simplify (1 + 5 + ((1*sqrt(13) + -3)*2 - ((-2*sqrt(104) + sqrt(104))*2)/sqrt(8)) + -2)**2.
-16*sqrt(13) + 212
Simplify ((5 + (-6*(0 + sqrt(931)) - sqrt(931)) + 5 + 4)*3)**2*-3.
-1237005 + 37044*sqrt(19)
Simplify 3*(sqrt(48)*5)**2*3 - (5*(3*sqrt(3))**2 + ((sqrt(3) - -3*sqrt(3))*2)**2).
10473
Simplify 3 + (sqrt(20)*-4*-4)**2 + 3 + (-5 + sqrt(5) + 1 + 4 + sqrt(180))**2.
5371
Simplify 5 + ((4 + sqrt(16)/((sqrt(24) + sqrt(24)*-3)/sqrt(3))*2*-4)*3)**2.
288*sqrt(2) + 437
Simplify 5*(((-1 + sqrt(44))*5 - 1*sqrt(2156))**2 - ((sqrt(176)*-1 - sqrt(176)) + 4)).
240*sqrt(11) + 985
Simplify (sqrt(121)*-3*-2*-1*1)/(5*(sqrt(11) - (sqrt(22)/(-1*sqrt(2)) + sqrt(11)) - (sqrt(11) + -3*-1*sqrt(11) + sqrt(11)))).
3*sqrt(11)/10
Simplify 3 + 4*5*-3*(((sqrt(156)*-1 - sqrt(156)) + sqrt(156))/sqrt(12))**2*5 + 4.
-3893
Simplify -5*(4 + ((-5 + 5*(6*(sqrt(1100) + sqrt(1100)*1) + sqrt(1100) + sqrt(1100) + 0 + 4))*-6)**2).
-970240520 - 3780000*sqrt(11)
Simplify ((sqrt(76)*2 + -2 + (sqrt(76) - (1 + sqrt(76)))*-4 - (-1*sqrt(114)/sqrt(6) + (-2*sqrt(228))/sqrt(12)))*3)**2.
252*sqrt(19) + 8415
Simplify (((sqrt(66) - 2*(sqrt(66) - sqrt(66)*2)) + sqrt(66) + sqrt(66) + -2*sqrt(66)*1)/(1*sqrt(24) + (sqrt(6) - sqrt(18)/sqrt(3)*1)))**2 + 1 + 3.
115/4
Simplify (1*((sqrt(70) + sqrt(70)*-1 - sqrt(70)) + sqrt(70)) + (sqrt(70) - (sqrt(70) + -1*sqrt(70)*1 + sqrt(70))))/(-4*sqrt(60)/(sqrt(6)*-1)*5).
0
Simplify (1*(0 + sqrt(1100))**2 - (3 + sqrt(99) - sqrt(11))*4) + ((sqrt(539) - -1*sqrt(539))*-1 - (sqrt(539)*-1 + 1))**2.
6*sqrt(11) + 1628
Simplify (2 + 1*(sqrt(128) + 0) + sqrt(1800)*-2 + 4)**2*-6.
-32664 + 3744*sqrt(2)
Simplify (sqrt(13) + -1 + -4)*-1 + 2*sqrt(325)*-2 - ((sqrt(390)/sqrt(160))/sqrt(3) + 5 + -4).
-85*sqrt(13)/4 + 4
Simplify (2*sqrt(99)*2)/(sqrt(9) + -1*sqrt(576) + sqrt(9)) - (sqrt(11) + 0 + sqrt(704) + 1 + 0).
-29*sqrt(11)/3 - 1
Simplify ((-2*3*sqrt(114) + sqrt(114))*-5*-3)/(4*sqrt(60)/sqrt(10)*6*-5).
5*sqrt(19)/8
Simplify ((5*(-2*sqrt(228) + sqrt(228)) - (sqrt(228) - -6*5*sqrt(228) - sqrt(228)))/(-1*2*sqrt(1200)*-5))**2.
931/400
Simplify -2 + (-3*sqrt(960))/(sqrt(12) + (sqrt(1728) - (sqrt(1728) - sqrt(1728)*3)) + sqrt(12)) + -2.
-4 - 6*sqrt(5)/19
Simplify ((4 + (2*(-6*sqrt(171) + sqrt(171) - sqrt(171)))/((sqrt(90)*-2)/sqrt(10)))*5)**2.
1200*sqrt(19) + 17500
Simplify ((4*sqrt(243)*1 - sqrt(36)/(sqrt(24)/sqrt(2))*6) + (sqrt(825)*5)/(sqrt(11)*-1*3 + sqrt(11)))**2.
3675/4
Simplify (-5 + (-3*sqrt(1125)*1)/(sqrt(576)*1) + -5)**2.
75*sqrt(5)/2 + 7525/64
Simplify ((sqrt(147)*-2 - sqrt(147))/sqrt(7) - (sqrt(105)*2)/sqrt(5))/(2*sqrt(363)*1*1)*-3.
15*sqrt(7)/22
Simplify ((sqrt(77)*1*1 + sqrt(77))*2*3)/(2*sqrt(539) + sqrt(11) + sqrt(99)*5) + 4.
2*sqrt(7)/5 + 4
Simplify ((sqrt(108) - -1*sqrt(108)*3) + sqrt(108) + -1 + 2*sqrt(108) + 1 + 5 + sqrt(108) + 2 + 3)**2.
960*sqrt(3) + 7012
Simplify -3*(-2 + (sqrt(108)*3*-6)**2) - (3 + 1 + sqrt(108) + -4)*3.
-104970 - 18*sqrt(3)
Simplify (sqrt(1300)*-1*4 + (-5*sqrt(1300)*-1 - sqrt(1300)) + -5 + 4 - -6*((sqrt(1300) - (sqrt(1300) + 4*(sqrt(1300)*-1 + sqrt(1300))) - sqrt(1300)) + 2)*6)**2.
-51120*sqrt(13) + 1689841
Simplify (1 + sqrt(1377) + 1 + -1 + 5)**2 + 2 + sqrt(833) + 1 + (sqrt(833) - 3*sqrt(833)*-2).
164*sqrt(17) + 1416
Simplify (sqrt(1053)*3)**2*3 + 3 + (-6*-6*sqrt(1053)*-3)**2 + -5.
12310621
Simplify 5*(-6*3*(sqrt(91) + 2*sqrt(91)*-2 + (sqrt(91) - (sqrt(91) + sqrt(91) + -4*-2*sqrt(91))) + sqrt(91))/(5*(sqrt(252) + -2*sqrt(252)) - sqrt(252)))**2.
7865/4
Simplify (sqrt(198)*5)/(3*sqrt(11)*-2) + (((sqrt(550) - sqrt(22))/sqrt(11) + sqrt(128) + 2 + sqrt(2) + sqrt(2))*-6)**2.
4027*sqrt(2)/2 + 14256
Simplify (3 + -1 + (-2 + -2 + sqrt(1539) - (sqrt(1539) + 4 + sqrt(1539)*1)))**2.
108*sqrt(19) + 1575
Simplify ((sqrt(208) - -2*sqrt(208))**2 + sqrt(13))*2 + -3 - ((sqrt(13) + -2)**2*3 + 0 + sqrt(1872)).
2*sqrt(13) + 3690
Simplify (5*(5*sqrt(85)*-1 - (sqrt(85) - -4*((sqrt(85)*2 + sqrt(85) - sqrt(85)) + sqrt(85)))))/(sqrt(225)/sqrt(5) + (sqrt(245)*-1 - sqrt(245) - sqrt(245))).
5*sqrt(17)
Simplify -5 + 3*(1*sqrt(84)*1*6)/(-5*(sqrt(432)*-2 + sqrt(432)) - sqrt(432)) + 5.
3*sqrt(7)/4
Simplify (-6*6*sqrt(243))/(sqrt(1089) - sqrt(1089)*2 - sqrt(9) - (sqrt(45)/(sqrt(5)*-1) + sqrt(9))).
9*sqrt(3)
Simplify 0 + ((sqrt(325) + sqrt(325)*-4)*-6*-3 - (1 + (3 + sqrt(325))*3)).
-285*sqrt(13) - 10
Simplify (0 + (2*sqrt(99) - (-1*sqrt(121))/sqrt(11)))**2 + -1 + ((-2*(sqrt(88) + -1*sqrt(88)))/(-3*sqrt(8)/sqrt(4)))**2.
538
Simplify ((-2*(1 + sqrt(1539) + sqrt(1539)) + 1*sqrt(1539)*-4 + -2 - -6*(sqrt(1539) + sqrt(1539)*-1)*2*4) + 3)**2.
144*sqrt(19) + 98497
Simplify 3*(-1*sqrt(475) + 4)**2*-6 + (sqrt(76) + -4*(sqrt(76) + 0) - (sqrt(190)*-2*-5)/sqrt(10)).
-8838 + 704*sqrt(19)
Simplify (-1*(sqrt(55) + sqrt(220)/sqrt(4) + sqrt(55))*-6)/(sqrt(99)/(sqrt(324) + sqrt(324)*2)) + 2.
2 + 324*sqrt(5)
Simplify (sqrt(224) + sqrt(224)*1*4 + sqrt(224))/(sqrt(768)/sqrt(6)) - (3 + (sqrt(140)*2*2)/sqrt(5)).
-5*sqrt(7) - 3
Simplify (3*6*(-2*(0 + sqrt(612)) + (sqrt(612) - (sqrt(612)*-1 + -1))) + -2)**2*6 + -1.
1535
Simplify (2*sqrt(2112) - 1*sqrt(132))/(-4*(sqrt(12) + sqrt(48) + (sqrt(72)/sqrt(4))/sqrt(6) + sqrt(3)))*2.
-7*sqrt(11)/8
Simplify (sqrt(324)*-3*3*-1)/((sqrt(720)*2)/((sqrt(10) + (sqrt(10) - 2*sqrt(10)))*-1 - sqrt(10))).
-27*sqrt(2)/4
Simplify 0 + ((2*sqrt(88)*3 - sqrt(88))/(sqrt(40)/(sqrt(25)/sqrt(5))) + 4*-1*(3 + 1 + sqrt(11)))**2.
-32*sqrt(11) + 267
Simplify ((2*sqrt(2400)*-4)/(sqrt(72) - (sqrt(72)*1 - sqrt(72)) - (sqrt(8) + sqrt(32))*-6))**2 + 1.
6547/147
Simplify (-5 + -2*((sqrt(468) - (-1*sqrt(468) + 1)) + -2))*-3 + -4.
-7 + 72*sqrt(13)
Simplify (4*(sqrt(48)/sqrt(2) + sqrt(24) - sqrt(24)) - sqrt(96)/(sqrt(4) + sqrt(36)/sqrt(9)))/((sqrt(48) - (-1*sqrt(384))/sqrt(8))/((sqrt(16) + sqrt(4))*2)).
21*sqrt(2)/2
Simplify 5*(sqrt(288) + -1) + 0 - (sqrt(10) + sqrt(640))/(sqrt(5) + 2*sqrt(20)).
-5 + 291*sqrt(2)/5
Simplify (1 | {
"pile_set_name": "DM Mathematics"
} |
e -242 = -3*b - b - 5*a, 122 = 2*b + x*a. Suppose -b = -3*y + 81. Does 8 divide y?
True
Let x be (-8)/(-10) + 3785*(-144)/(-200). Suppose 18*j - 10846 - x = 0. Does 59 divide j?
False
Suppose 15*s - 122808 = -48468. Let i be s/(-70)*(-20)/(-6). Let o = -130 - i. Is 10 a factor of o?
False
Let v be (-1)/(-5) + (-59)/(-5). Let w be (8 - 0)/(13 - v). Let o(t) = -t + 18. Is 10 a factor of o(w)?
True
Suppose 2*y - 1614 = 4*v, -v + 146 = -4*y + 560. Let i = -234 - v. Is 12 a factor of i?
True
Let h(q) = -5*q - 18. Let z = 172 + -192. Does 7 divide h(z)?
False
Suppose -67*x + r - 162850 = -70*x, 3*r = -3*x + 162864. Does 50 divide x?
False
Let l = -26 + 31. Suppose s - 2 = -x, -s + l = -2*x - 3. Suppose -m = -4 - 1, s*y + 5*m - 249 = 0. Does 25 divide y?
False
Let n be (-3)/4*(-7)/((-7)/12). Let i(c) = -c**3 - 6*c**2 + 8*c + 5. Let h be i(n). Does 23 divide 4 - ((-4)/2 - h)?
False
Suppose -14 = 2*k + 3*w - 1, 0 = -2*k + 3*w + 17. Let c be (3 - (k - -2)) + 242. Let n = c + -88. Does 13 divide n?
False
Suppose 3*u = 9*p - 13*p + 10485, -5*p - 13918 = -4*u. Does 12 divide u?
False
Let f = -22 + 0. Let r = f + 25. Suppose 2*x - 89 = -4*q + 113, 0 = 4*q + r*x - 207. Is 17 a factor of q?
False
Let r be -4 + 4 - 4/((-4)/3). Suppose 0 = 2*h - 0*j - 5*j + 10, -3*h - r*j = -27. Suppose 5*o - h*k + k - 60 = 0, 3*k = -4*o + 79. Is 8 a factor of o?
True
Let u(h) = -h**3 + 3*h**2 + 6*h - 1. Let p be u(7). Let q be (16/12)/1*213. Let l = q + p. Does 12 divide l?
False
Suppose -3*q - 96993 = 51*h - 56*h, -3*q = 3*h - 58239. Is 28 a factor of h?
True
Suppose 0*g - 10*g + 20 = 0. Let t = 1 + g. Is -201*(-4)/(-2)*(-1)/t a multiple of 18?
False
Suppose -4*r = 50 - 158. Let w(i) = -i**2 + 26*i + 29. Let v be w(r). Is -1*(-39)/v*2 a multiple of 39?
True
Suppose 5*k - 15 = -3*l, -1 = 4*k - 4*l - 13. Does 4 divide k/1*62/6?
False
Let b(s) = s**3 + 29*s**2 - 27*s - 32. Let h be b(-28). Suppose -f = -g + 819, -3*g + 4*f + h = -945. Does 38 divide g?
False
Let a be 37636/(-16) + (-5 - (-126)/24). Let w = -1287 - a. Is w a multiple of 71?
True
Suppose 20724 + 20517 - 7851 = 42*d. Does 14 divide d?
False
Let d be 6/1*(-3)/(-6). Suppose d*q - 69 = 12. Suppose 0 = -2*n - q + 91. Is 16 a factor of n?
True
Let g(h) = 5*h**2 - 11*h - 116. Let i be g(-7). Let z = 1193 - i. Does 21 divide z?
True
Let i(x) = x**3 + 8*x**2 + 10*x + 15. Let v be i(-6). Let a = v + -79. Let s = 163 + a. Is 12 a factor of s?
False
Suppose -635 - 1734 = -23*m. Suppose 0 = 2*t + 4*w - 70, -t + 16 = -5*w - 47. Let k = m + t. Does 18 divide k?
False
Suppose 0 = -47*f + 34179 + 19113 + 24540. Is 12 a factor of f?
True
Let n(a) = -26*a + 24. Let w be n(-6). Suppose -w*q - 220 = -185*q. Is q a multiple of 4?
True
Suppose -o + 4*g + 10 = 0, 0 = -4*o + 3*g + 1 + 39. Let d = o + 30. Let y = d + -33. Does 2 divide y?
False
Let l = -13951 - -18197. Is l a multiple of 2?
True
Suppose -4*c = 4*b - 41564, -b + 41579 = -166*c + 170*c. Is c a multiple of 23?
True
Let g be (-21)/(-4 + -3) - (-2 - 2). Does 54 divide ((-5508)/(-119))/(1/g)?
True
Suppose 52*l - 53*l - 4 = 0. Let w = -3140 - -1778. Is 22 a factor of l/(40/w) - 8/(-10)?
False
Let i(g) = -5*g**2 - 7*g + 22. Let a be i(-8). Let n = a - -1355. Is n a multiple of 19?
False
Let m(t) = -490*t + 110. Let o(k) = -44*k + 9. Let v(q) = -4*m(q) + 45*o(q). Let l be ((-7)/3)/((-2)/(-6)). Does 21 divide v(l)?
True
Let y(j) = 50*j**2 - 13*j + 16. Suppose -3*z - m - 1 = -5, 0 = 5*z + 5*m. Is y(z) a multiple of 46?
False
Let f(s) = s**3 - 9*s**2 + 7*s + 8. Let l be f(8). Let t be 12/((0 - l) + 1). Suppose 0 = t*u - 11*u - 199. Is 22 a factor of u?
False
Let b = -7383 - -13447. Is b a multiple of 63?
False
Is -2 + (-529235)/(-28) - (-42)/56 a multiple of 225?
True
Let z(s) = s**3 + 43*s**2 - 159*s + 50. Is z(-23) a multiple of 13?
True
Let n be (12/(-8))/((-21)/112). Suppose -n*w + 4*w = 3*h - 466, -5*w - 25 = 0. Is 21 a factor of h?
False
Let l = 688 + 478. Let m = l - 528. Does 29 divide m?
True
Suppose 1134 - 40890 = -12*b. Is b a multiple of 11?
False
Let k be (-13)/26*(-1194 + 0). Is 11 a factor of (1 - -5*(-6)/30) + k?
False
Let r be (35/40)/((-1)/(-56)). Is (-7)/(r/(-21)) - -555 a multiple of 18?
True
Suppose 0 = 3*s - 5*i + 3 - 7, 8 = 2*s + 2*i. Let z be (16/10)/(1/5) - s. Suppose 0 = z*f + 4*t - 112, -2*t - 5 = -1. Does 4 divide f?
True
Let l = 2542 - 2536. Let s = -14 + -25. Does 8 divide s*(-4 + 22/l)?
False
Suppose -4*c + 4*p = -12, -5*p = -0*c + 5*c - 45. Suppose c*o - o = 5*s - 20, -s = 4*o - 9. Suppose 165 - s = 8*i. Is i a multiple of 6?
False
Let b be 8 + -442 + (6*1)/(-2). Let g = b - -739. Let u = g - 208. Is 9 a factor of u?
False
Let z(i) = 3*i**3 + 3*i**2 - 38*i + 468. Is z(12) a multiple of 42?
True
Suppose 389*p - 166518 = 378*p. Is p a multiple of 11?
False
Suppose -39*y = -42*y + 18. Let i(r) = -y - 636*r + 22 + 635*r. Is i(-7) a multiple of 12?
False
Let k = 269 - 270. Suppose -5*g - i = i + 200, 0 = g + i + 43. Does 55 divide (351/54)/(k/g)?
False
Let t be 14 + -2 + -1*(-3 - 2). Suppose t*n - 20*n = 483. Let i = -17 - n. Is 22 a factor of i?
False
Let u(v) = -11*v - 2. Let s be u(-3). Let r = s + -62. Let p = r + 129. Does 19 divide p?
False
Let b = -19401 - -30927. Does 102 divide b?
True
Suppose y + l + 4 = 0, -2*y + 4 = y - 5*l. Let r be -5 - 3/y*-2. Is 64/(2 - (-12)/r) a multiple of 18?
False
Suppose -23*z + 12*z - 1870 = 0. Is 1804/10 + -1 + 68/z a multiple of 15?
False
Let h be 12*(-2)/9*6. Is (1*33)/(31/h + 2) a multiple of 33?
True
Suppose -4*w - 4*f + 7 = 31, 5*w = 2*f - 2. Suppose -4*i + 46 = -5*p - 40, 5*p + 50 = -5*i. Is 18 a factor of (-270)/w + p + 11?
False
Let r(l) = -8*l**3 - 23*l**2 - 63*l + 81. Let g(b) = -3*b**3 - 8*b**2 - 21*b + 27. Let z(k) = -11*g(k) + 4*r(k). Is z(8) a multiple of 23?
True
Does 24 divide (-4 - -116)/8*(1916 + 16)?
True
Let v(k) = k**2 - 3*k - 16. Let o be v(6). Suppose -5*b = -5*q - b - 638, o*b = -q - 136. Is 13 a factor of ((-62)/155)/(1/q)?
True
Does 4 divide 10/(-3) - (-22 + (-30226)/3)?
False
Let z be (2 - (-24)/(-15)) + (-426)/(-10). Let p = -38 + z. Suppose -4*x = -2*x + 2*a - 8, -20 = p*a. Is x a multiple of 3?
False
Is (616/126)/(-11) + (-3919)/(-9) - 3 a multiple of 9?
True
Suppose -r + 29 = 25. Suppose -r*l - 19 + 445 = f, 2*f = 5*l + 813. Does 69 divide f?
True
Suppose 5*s = -5*q + 13108 - 4408, -s = 5*q - 1724. Does 218 divide s?
True
Let m(b) = b**3 - 16*b**2 + 21*b + 8. Let k be (1 - 2)/((-2)/4). Let i be ((-3)/k)/((-5)/50). Is m(i) a multiple of 38?
False
Let g(u) = -7*u - 83. Let n be g(6). Does 50 divide (336/20)/(-7)*n?
True
Let q = 155087 - 86519. Does 56 divide q?
False
Suppose 13*n - 4*m = 14*n, 4*m = n - 8. Suppose -n*u = 3*k - 3481 - 548, -3*k = -3*u + 3027. Suppose -6*t = t - u. Is 24 a factor of t?
True
Let h be (24/15)/(2/(-5)). Let w be (287/(-28))/(1/h). Let z = w + -5. Is 9 a factor of z?
True
Let n(x) = 722*x - 1521. Is n(8) a multiple of 115?
True
Let f be (-3 + -2 + 2)*(-7)/(-21). Is 7 a factor of 8/(-3)*(-345)/(-10)*f?
False
Let h(p) = -p**3 + 7*p**2 + 2*p - 9. Let c be h(7). Let l = 1252 + -692. Suppose 3*q + 700 = 5*x, -c*q = -0*x + 4*x - l. Is 19 a factor of x?
False
Is 8/((-176)/77)*((-12410)/14 + -1) a multiple of 18?
False
Suppose 4*m - 5*p - 34086 = 0, -11*m + p = -7*m - 34062. Is 66 a factor of m?
True
Let u(p) = -1170*p - 976. Does 22 divide u(-2)?
True
Let l(j) = 203*j + 2132. Is l(18) a multiple of 8?
False
Let n = 435 + 299. Let g = n - 354. Suppose k = 6*k - g. Is 38 a factor of k?
True
Suppose -11*w - 622 = -2239. Let u(p) = -7*p - 8. Let g be u(-6). Suppose w + g = j. Is j a multiple of 13?
False
Let s(v) = -29*v + 439. Let p be s(15). Suppose -1413 = -3*t + 9*o, 0 = 2*t - p*o - 269 - 663. Is t a multiple of 22?
False
Let d(l) = -l**3 - 9*l**2 + 28*l + 389. Does 19 divide d(-21)?
False
Suppose 1138 = -49*d + 3098. Let p = 272 + d. Is 12 a factor of p?
True
Let n(z) = 12*z - 444. Let g be n(30). Let l be 2/3*(-966)/(-4). Let i = g + l. Is 7 a factor of i?
True
Let m(i) = 11*i - 147. Let o be m(15). Suppose 0 = o*b - 9580 - 5936. Does 35 divide b?
False
Let g = 195 + -190. Suppose -c + 2 = 0, -5*h + 0*c + 1060 = g*c. Does 14 divide h?
True
Suppose -4*o = -16, -2*k - 2194 = -4*k - 2*o. Let z = k + -594. Does 25 divide z?
False
Let b(k) = -84 + 48*k + 43*k - 6*k - | {
"pile_set_name": "DM Mathematics"
} |
- 95. Suppose -b = c + 3*c + 18, 3*b + 2*c + 14 = 0. Calculate the remainder when z is divided by (b + (-8)/16)*12/(-3).
9
Let v = -4926 - -1389. What is the remainder when v/6*(48/18)/(-4) is divided by 36?
33
Let f = 0 + 3. Suppose -f*l = 5*r - 627, 2*l - 192 = l + 4*r. Calculate the remainder when l is divided by 23.
20
Suppose -28*k + 35*k = 161. Suppose 3*t - 77 + k = 0. Suppose -3*i = -3*m + t + 3, -5*m + 33 = -3*i. What is the remainder when 15 is divided by m?
3
Let l be (20*4/8)/((-2)/1). Let r(o) = -66*o - 9. Let q be r(l). Suppose s - m = 321, -4*m + q = -0*s + s. What is the remainder when s is divided by 54?
51
Calculate the remainder when 1308 + 529/(-23) - 0 is divided by 267.
217
What is the remainder when 7950 is divided by 70/(-14) - (405/(-21) - 4/(-14))?
12
Let g(c) = c**2 + 9*c + 45. Calculate the remainder when 3615 is divided by g(-11).
64
Suppose 0 = -5*d + 38 - 8. Suppose 0 = -d*t + 73 + 53. Let l = t + -6. Calculate the remainder when 88 is divided by l.
13
Suppose -114*p + 115*p - 246 = 0. Suppose 6*a = -p - 246. Let v = a - -90. What is the remainder when 53 is divided by v?
5
Suppose -5*l = -2*x - 1197, 3*x + 1193 = 961*l - 956*l. Calculate the remainder when l is divided by 61.
58
Let j = -8 + 11. Let y = -5243 - -5254. Let d = j + y. Calculate the remainder when 55 is divided by d.
13
Let r = 5027 + -4817. Calculate the remainder when r is divided by 101.
8
Let p = 416654 - 416641. Let d be (-2)/2*(-11 - 1). What is the remainder when (-4)/(0 + (-1)/d) is divided by p?
9
Suppose 2*w - 3*u - 40 = -2*w, w - 9 = u. What is the remainder when 504 is divided by w?
10
Suppose 0 = -14*l + 12*l - 196. Let c = 20 - l. What is the remainder when c is divided by 60?
58
Let m = 3064 + -2844. What is the remainder when m is divided by 47?
32
Let u(r) = 247*r - 1931. Calculate the remainder when u(9) is divided by 42.
40
Let z = 51 + -27. Calculate the remainder when 7084/(-2277) - 856/(-9) is divided by z.
20
Let p(i) = -2*i - 32. Let b be p(7). What is the remainder when 24 is divided by 3/(-4)*(b + 34)?
6
Suppose 3*o + 0*o = 42. Suppose -5*f + 5*c = -4*f - 110, -2*f = 5*c - 115. What is the remainder when f is divided by o?
5
Let a(k) = k**3 + 32*k**2 + 152*k + 37. What is the remainder when a(-16) is divided by 12?
9
Let s = 105 + -96. Suppose s*b + 3 = 102. Let r = -59 + 99. Calculate the remainder when r is divided by b.
7
Let n(k) = -k**2 + 20*k - 31. Let i = -12 + 20. What is the remainder when n(i) is divided by 28?
9
Let g(j) = -j + 73. Suppose 52*d - 161 = 45*d. Calculate the remainder when 248 is divided by g(d).
48
Suppose -2*d = 2*d - 1710 + 1594. Let x be -1*(-9)/6*32. Let v = -33 + x. Calculate the remainder when d is divided by v.
14
Suppose 0 = -20*w + 30*w + 7*w - 4063. What is the remainder when w is divided by 90?
59
Suppose 0 = 7*t - 4*t - 21. Let f be 3730/(-35) - (-9)/(-21). Let d = 117 + f. What is the remainder when d is divided by t?
3
Suppose -38*f + 1984 + 3336 = 0. Calculate the remainder when f is divided by 81.
59
Let o = 1279 - 1113. Calculate the remainder when o is divided by 47.
25
Calculate the remainder when 879 is divided by (37/((-1665)/(-30)))/((-15600)/7803 + 2).
12
Suppose -19 = 4*j + 1. Let o be (42/35)/(2/j). Calculate the remainder when (-12)/(9/o) - -12 is divided by 6.
4
Let w(h) = 2*h**2 - 8. Let k(b) = 3*b + 102. Let c be k(26). Suppose -10*l - c = -20*l. What is the remainder when w(6) is divided by l?
10
Suppose 189 = -7*y + 7077 - 84. What is the remainder when y is divided by 64?
12
Let x(w) = 5*w + 156. Calculate the remainder when x(-16) is divided by 393/10 + (-21)/70.
37
Let c = -155 + 157. Let u(i) = i**3 - 8*i**2 + 9*i + 1. Let m be u(7). Suppose -5*y + m = -0*y. What is the remainder when y is divided by c?
1
Let h(q) = 18 + 511*q**3 + 3*q - q**2 + 2*q - 512*q**3. Calculate the remainder when 53 is divided by h(0).
17
Suppose 35*g + 138*g = 4215 + 789509. Calculate the remainder when g is divided by 27.
25
Suppose 27*f = 32*f - 35. Suppose 6*u = f*u - 21. Suppose 0 = 5*g - 4*i - 2, 2*i - 2 = 4*g - 6. What is the remainder when u is divided by g?
1
Suppose -m + 2 = -6. Let f(v) = 5*v**2 - 43*v - 1. Let i be f(13). Let t = -254 + i. What is the remainder when t is divided by m?
7
Let v be ((-1)/3)/(2/12). What is the remainder when (24/(-9) - v)*192/(-8) is divided by 11?
5
Let j be (1*(-2)/5)/((-1)/10). Suppose -7 = j*y + 5, 5*x - 310 = -5*y. Suppose 0 = -5*d - 0*d + x. What is the remainder when 35 is divided by d?
9
Suppose -4*j - 2 = -6, 0 = -2*l + j - 331. Let g = l - -345. Suppose 4*m - 262 = -3*c, -2*c - 3*m = m - g. Calculate the remainder when c is divided by 17.
14
Suppose -2*t + 406 = 3*q - 7*t, 0 = -q + t + 132. Let g = q + -122. Calculate the remainder when 47 is divided by g.
2
Let a = 526 + -492. Suppose -789 = -53*h - 153. What is the remainder when a is divided by h?
10
Suppose 7100145 = 426*a + 2034472 - 3616633. What is the remainder when a is divided by 13?
10
Suppose -4*o + 4*n = -252, -n = -3*o - 5*n + 168. Let d = -94 + -49. Let q = 167 + d. Calculate the remainder when o is divided by q.
12
Suppose 0 = 13*s + 76*s + 3*s - 55476. What is the remainder when 1218 is divided by s?
12
Let l = 2956 + -2777. Calculate the remainder when l is divided by 91.
88
Suppose -100*g + 101*g = 6. Let l(z) = -z + 2. Let k be l(8). Let m(q) = -q - 3. Calculate the remainder when g is divided by m(k).
0
Let b = -980 - -1274. What is the remainder when b is divided by 138?
18
Suppose 26910 = 2480*w - 2246*w. Calculate the remainder when w is divided by 141/4 + 4/(-16).
10
Let i be -2*5/20 + (-14)/4. Let l(d) = -13*d - 19. Suppose -2*k + 5*v + 44 = 0, -v - 9 = 5*k - 65. Calculate the remainder when l(i) is divided by k.
9
Suppose 24932 = 81*r - 42379. What is the remainder when r is divided by 163?
16
Let c = 147 + -147. Suppose c = 6*q + q - 63. Calculate the remainder when 40 is divided by q.
4
Let y(i) = -403*i + 10001. Calculate the remainder when y(20) is divided by 29.
27
Let t(a) = 6*a**2 + 1735*a - 6717. Let g = -17 - -82. Calculate the remainder when g is divided by t(-293).
21
Suppose -22*u = -59 - 7. Suppose 3*l - 32 = -2*s - l, 2 = l. What is the remainder when -2 - (-7)/(7/s) is divided by u?
1
Suppose -18 = -31*a + 28*a - 2*c, -4*c = 5*a - 34. What is the remainder when 153 is divided by a?
1
Let l = 1382 + -1359. What is the remainder when 999 is divided by l?
10
Let k(l) = 2*l - 16. Let f be k(11). Suppose -n - 76 = -f*n - j, 3*n = 5*j + 68. Calculate the remainder when 55 is divided by n - ((-20)/6 - (-2)/6).
17
Let h(o) = -9*o - 4. Let n be h(-1). Suppose n*w - 83 = 97. What is the remainder when 207 is divided by w?
27
Let p be 2 + 5948/(-44) + (-8)/(-44). Let q = p + 193. What is the remainder when q is divided by 16?
12
Suppose 0 = -q + 2*q + 7. Let r be (12/q)/((-11)/(693/6)). Calculate the remainder when 2/((r/(-321))/(-3)) is divided by 36.
35
Let o = 77 + -57. Let m = 25 - o. Suppose m*b + 11 = -l, 6*l + 3*b - 33 = l. What is the remainder when 43 is divided by l?
7
Let k(v) = 21*v**2 + 29*v - 29. What is the remainder when k(1) is divided by (-126)/(-12)*((-10)/6 - -3)?
7
Let u(k) = -3*k + 670. Calculate the remainder when u(32) is divided by 573.
1
Let g = -15122 + 15226. What is the remainder when 779 is divided by g?
51
Suppose -759 = -29*d + 40*d. Let t = -35 - d. What is the remainder when t is divided by 27?
7
Let u be (-2)/(-2)*(-39 - -37). Calculate the remainder when 26 is divided by ((-3)/4)/((-140)/64 - u).
2
What is the remainder when 81 is divided by 75 - 77 - (-3 - 127)/2?
18
Suppose 27*l = -14*l + 10865. Calculate the remainder when l is divided by 88 - (7 - (-16)/(-2)).
87
Suppose 0 = 119*s - 137515 - 73591. What is the remainder when s is divided by 37?
35
Suppose 2*t = 5*l - 112, -l = -t + 4*l - 46. Calculate the remainder when 67 is divided by 8/(-36)*6 - 616/t.
3
Let b(f) = f**3 - 5*f**2 + 11*f - 18. Let m be b(4). Suppose -g + 23 = 6*a - 2*a, 0 = -2*g - m. What is the remainder when 117 is divided by a?
5
Let q(z) = 83*z - 502. Calculate the remainder when 555 is divided by q(7).
2
Let u be (((-18)/5)/(-1))/((-2)/10). Calculate the remainder when 13/(585/u) - (-404)/10 is divided by 14.
12
Let j(s) = -1 + s - 2*s - | {
"pile_set_name": "DM Mathematics"
} |
r) be the first derivative of -r**2 - 400. Let i(s) = 774*s**2 + 11. Let q(u) = 155*u**2 + 2. Let d(w) = 2*i(w) - 11*q(w). Calculate p(d(y)).
314*y**2
Let a(i) = 4 - 3 - 2 - 18*i. Let j(y) = 4*y**2 - 102*y + 12. Let w(v) = 12*v**2 - 289*v + 34. Let q(k) = -17*j(k) + 6*w(k). Calculate q(a(r)).
1296*r**2 + 144*r + 4
Let u(o) = 250*o**2 + 347*o**2 - 596*o**2. Let r(q) = 152*q. What is r(u(m))?
152*m**2
Let u(f) = -6 - 5 + 4 - 63*f + 4 + 2. Let c(l) = 31*l**2. Calculate c(u(d)).
123039*d**2 + 3906*d + 31
Let q(b) be the second derivative of 0*b**2 + 203*b - 1/3*b**3 + 0. Let f(c) = 11*c. Calculate q(f(r)).
-22*r
Let l(w) be the third derivative of 3*w**2 + 0*w**4 - 1/60*w**5 + 0*w**3 + 7*w + 0. Let c(x) be the second derivative of x**3 + x**2 - 3*x. What is l(c(t))?
-36*t**2 - 24*t - 4
Let g(m) = m**2 + m + 8. Let h be g(0). Let o(t) = 45 - 45 + h*t. Let n(y) = -7*y + 5. Let b(i) = -10*i + 7. Let v(j) = 5*b(j) - 7*n(j). Give o(v(c)).
-8*c
Let p(q) be the second derivative of 5*q**3 - 78*q - 4. Let a(x) = 2*x**2 + 61*x. Determine a(p(h)).
1800*h**2 + 1830*h
Let u(m) = 4*m**2. Let l(o) be the first derivative of -o**3/6 + 42*o - 63. Let w(x) be the first derivative of l(x). What is w(u(z))?
-4*z**2
Let v(w) = -2468*w. Let z(l) = 33621*l. What is v(z(b))?
-82976628*b
Let l(s) = -202*s**2. Let f(c) = -8*c**2 + 34*c - 34. Let q(g) = -g**2 + 4*g - 4. Let w(i) = 4*f(i) - 34*q(i). Give w(l(p)).
81608*p**4
Let u(p) = -20*p. Let n(w) = -6731*w**2 + 318*w + 636. Let y(j) = -106*j**2 + 5*j + 10. Let q(o) = 5*n(o) - 318*y(o). What is u(q(i))?
-1060*i**2
Let a(z) = -11385073*z**2. Let u(y) = -10*y**2. What is a(u(b))?
-1138507300*b**4
Let t(o) be the second derivative of -28*o + 1/6*o**3 + 0*o**2 + 0. Let f(x) = 2*x. Let r(v) = f(v) - 3*t(v). Let i(s) = 45*s**2. Calculate r(i(u)).
-45*u**2
Let s(k) be the third derivative of -31*k**7/1008 - 23*k**5/15 + 74*k**2. Let r(u) be the third derivative of s(u). Let g(m) = -m**2. Give g(r(h)).
-24025*h**2
Let u(q) = q**2. Let k = 2305 - 2305. Let v(t) be the third derivative of -8*t**2 + k*t**3 - 1/30*t**5 + 0*t + 0 + 0*t**4. Determine v(u(p)).
-2*p**4
Suppose -4*d + 26*m + 198 = 23*m, 0 = -d + 5*m + 41. Let r(y) = -49 + 19*y - d + 100. Let s(c) = 4*c. What is s(r(u))?
76*u
Let n be (-3744)/(-252) + ((-30)/(-14) - 2). Let x(s) = -n*s + 3*s + 1 + 4 - 25*s - 7. Let g(c) = 3*c. Determine x(g(r)).
-111*r - 2
Suppose -118 = -18*r - 41*r. Let m(u) = 0*u - r*u + u - 12*u**2 + u. Let v(t) = 3*t. Calculate m(v(i)).
-108*i**2
Let p be -2*(2/(-4))/(4/8). Let q(s) = 1. Let l(d) = 32*d + 160. Let x(c) = p*l(c) - 320*q(c). Let b(f) = -3*f**2. Calculate x(b(t)).
-192*t**2
Suppose 14 = 10*n - 6. Suppose 0 = 4*p - n*p + 4, -3*v = 5*p - 44. Let d(a) = -15 - 3*a**2 - v + 33. Let y(o) = -14*o. What is d(y(i))?
-588*i**2
Let l(y) = -3501*y**2. Let d(t) = -4*t - 21. Let w(z) = 39*z + 203. Let u(x) = -58*d(x) - 6*w(x). What is u(l(j))?
7002*j**2
Let a(d) = d**2 - 28. Let h(m) = -1159*m**2 + 168. Let q(k) = -6*a(k) - h(k). Let v(c) = -c**2. Calculate q(v(x)).
1153*x**4
Let y(c) = -34*c. Let b(h) = 909194*h. Give b(y(g)).
-30912596*g
Let h(p) = -p. Let w = -34 - -56. Suppose y - t - w = 55, -y + 3*t = -75. Let b(o) = -o + 157 - 79 - y. Determine h(b(r)).
r
Let v(u) = -24*u - 258. Let o(i) = -995*i. Calculate o(v(c)).
23880*c + 256710
Let x(w) = -819*w - 816*w - 816*w + 2452*w. Let p(k) = -1895*k**2. Calculate p(x(m)).
-1895*m**2
Let t(k) = 2*k**2. Let c(q) = -1585*q - 476*q - 615*q. What is c(t(d))?
-5352*d**2
Let f(d) = 28981*d**2 - 58045*d**2 + 29019*d**2. Let y(o) = 5 - 4 - o - 1. Calculate y(f(z)).
45*z**2
Let w(z) = 286*z**2 + 77*z - 77. Let s(b) = 15*b**2 + 4*b - 4. Let h(o) = 77*s(o) - 4*w(o). Let x(m) = -18120*m + 18120*m - 5*m**2 + 19*m**2. Calculate x(h(j)).
1694*j**4
Suppose -2*r + 0 = 2*f + 4, 2*r + 4*f + 12 = 0. Let u(p) = 4*p**2 - p**2 - r*p**2. Let a(w) be the first derivative of -2*w**3 - 260629. Determine u(a(b)).
36*b**4
Let z(y) = -34*y**2. Let x(t) = 571 - 4*t - 1209 + 3*t + 639. Determine z(x(f)).
-34*f**2 + 68*f - 34
Let r(s) be the second derivative of s**3/6 - 3*s. Let f(t) = t + 3. Let a(w) = -23*w**2 + 5*w + 15. Let z(b) = a(b) - 5*f(b). What is z(r(u))?
-23*u**2
Let l(t) = 21 - 14 - 5 - 33*t. Let s(u) be the first derivative of u**4/6 - u - 9. Let v(y) be the first derivative of s(y). Give l(v(z)).
-66*z**2 + 2
Let z(v) = 13*v. Let t(s) be the second derivative of -47*s**4/3 + 2006*s. What is t(z(d))?
-31772*d**2
Let y(b) = -30149*b**2 + 11*b - 22. Let g(d) = 6032*d**2 - 2*d + 4. Let t(p) = -11*g(p) - 2*y(p). Let x(l) = -3*l. Determine x(t(f)).
18162*f**2
Let a(h) be the second derivative of 193*h**3/6 + 578*h - 1. Let z(l) = 23*l**2. Calculate a(z(n)).
4439*n**2
Let m(p) = -2*p + 8. Let w(k) = -257804*k. Determine m(w(i)).
515608*i + 8
Suppose -2*g + 10*u - 6 = 8*u, -5*g = -2*u. Let j(h) = 6*h**2 - 2 + h**2 + g + h**2. Let n(s) = 8*s**2. Determine n(j(v)).
512*v**4
Let s(l) = 326*l + 1. Let t(w) = 17*w**2 + 1628*w + 5. Let f(b) = 5*s(b) - t(b). Let p(a) be the first derivative of 2*a**3/3 - 1. Give f(p(v)).
-68*v**4 + 4*v**2
Let l(a) = 2*a - 7. Let j(f) = -3044*f**2 + 2992*f**2 + 0 + 0. Give j(l(g)).
-208*g**2 + 1456*g - 2548
Let a(g) = -31*g**2 - 8*g. Let k(m) = 1242*m**2 + 322*m. Let u(w) = -161*a(w) - 4*k(w). Let d(f) = -38*f. Calculate d(u(t)).
-874*t**2
Let q(f) = 9 - 12 - f - 18 + 21. Let i(g) = 2*g - 18. Give i(q(y)).
-2*y - 18
Let b(s) = -6*s**2. Let g(m) = 1823918*m. What is b(g(k))?
-19960061224344*k**2
Let h(y) be the second derivative of -y**4/4 + 52*y. Let o(x) = -34*x**2 - 49*x**2 + 30*x**2. Give o(h(k)).
-477*k**4
Let s(u) = -u**2 - 2*u - 2. Suppose 3*h + 1 = -5. Let n(k) = -3*k**2 - 7*k - 7. Let d(i) = h*n(i) + 7*s(i). Let c(a) = 0 + 31*a - 2 + 0 + 2. Give c(d(o)).
-31*o**2
Let w(p) = -36*p**2. Let y(l) = 51*l**2 + 35*l**2 - 25*l**2 - 22*l**2. Calculate w(y(u)).
-54756*u**4
Let f(k) = -390*k**2 + 4. Let g(u) = -57*u + 6*u + 38*u + 12*u. Calculate f(g(m)).
-390*m**2 + 4
Let q(j) = 45*j**2 - 1649*j + 17. Let f(c) = -8*c**2 + 275*c - 3. Let m(l) = -34*f(l) - 6*q(l). Let h(a) = 2*a. Determine h(m(o)).
4*o**2 + 1088*o
Let o(r) be the second derivative of 19/3*r**3 + 0 - 27*r + 0*r**2. Let x(s) = -s**2. Give o(x(l)).
-38*l**2
Let c(s) be the second derivative of -1079*s**4/4 + 13*s - 126. Let f(w) = -w**2. Give f(c(m)).
-10478169*m**4
Let r = 33 - 31. Let k(b) be the first derivative of -162 + 84 + 82 + r*b**2. Let c(g) = -3*g**2. What is k(c(m))?
-12*m**2
Let y(u) = -2*u**2. Let t(p) = -245*p**2 + 165425. Give t(y(a)).
-980*a**4 + 165425
Let n(r) = -72*r - 5. Let p(d) = 57*d + 4. Let s(l) = 4*n(l) + 5*p(l). Let a(m) be the third derivative of m**4/3 + 3*m**2. What is s(a(y))?
-24*y
Let q(k) = 15*k + 12*k - 2 - 31*k. Let o(p) = -16*p**2. Let n(b) = -14*b**2. Let t(z) = -7*n(z) + 6*o(z). Give q(t(s)).
-8*s**2 - 2
Let z(a) = 597*a**2. Let m(i) = -6*i**2 + 5932*i. Give m(z(n)).
-2138454*n**4 + 3541404*n**2
Let k(t) be the first derivative of -7*t**2/2 + 5675. Let v(r) = 1943*r**2. Determine k(v(b)).
-13601*b**2
Let c(h) = h. Let q(g) = -83696813*g. Calculate c(q(f)).
-83696813*f
Let w(i) = 1759403*i. Let q(c) = 144*c**2. Determine w(q(k)).
253354032*k**2
Let c(s) = 16*s. Let o(b) be the second derivative of 2/3*b**3 + 0 + 0*b**2 + 30*b. Give c(o(x)).
64*x
Let x(u) = 2*u + 170. Let d(a) = 18*a + 15*a + 22*a - 33*a. Determine d(x(w)).
44*w + 3740
Let d(w) = w**3 - 6*w**2 - w + 43. Let t be d(4). Let p(f) = -f - 18*f + 11*f + t*f. Let j(n) be the first derivative of 2*n**3/3 + 2. What is j(p(y))?
2*y**2
Let w(y) = 3*y**2 + 993495. Let g(j) = -j. Calculate w(g(v)).
3*v**2 + 993495
Let r(d) = 4*d**2. Let q(g) = 10*g + 82. Let n be q(-8). Let f(w) = 131 - 141 - 4*w**n + 2*w**2. Give r(f(k)).
16*k**4 + 160*k**2 + 400
Let n(s) = -s + 3. Let b(y) = 9*y**2 + 5*y + 142. Let a(q) = -b(q) - 5*n(q). Let k(v) be the first derivative of a(v). Let p(w) = 2*w. What is k(p(h))?
-36*h
Let x(z) be the second derivative of 0*z**2 + 2*z - 1/12*z**4 - 10 + 0*z**3. Let b(a) = -3*a + 3*a - 5*a. Calculate b(x(t)).
5*t**2
Let r(c) be the second derivative of -5*c**3/6 - c - 83. Suppose 2*x - x = 2. Let z(a) = 3*a - 3*a + x*a. Calculate r(z(h)).
-10*h
Let m(l) = 244*l + 232*l - 650*l + 217*l. Let z(h) = -7*h**2. What is z(m(p))?
-129 | {
"pile_set_name": "DM Mathematics"
} |
5*t + f = -h + 22. Is t prime?
True
Let u(m) = 3*m**2 + 2*m + 1. Let h be u(2). Suppose 3*l - 36 = -3*z, 0 = -z - 6*l + 4*l + h. Is z composite?
False
Let z = 633 + -442. Is z a prime number?
True
Let y = -429 + 1540. Is y composite?
True
Suppose 2*v - 846 + 116 = 0. Is v prime?
False
Suppose -1461 = -2*n - n - 2*i, 4*n + 5*i = 1948. Is n prime?
True
Let w(a) = a - 4. Let p be w(6). Suppose -t + p*t = -188. Let z = -133 - t. Is z a composite number?
True
Let l = 71 + -129. Let b = l - -89. Is b prime?
True
Suppose -2*l + 4 = -2, -3*l - 314 = -w. Is w a composite number?
True
Is 926 - 8/(24/15) a prime number?
False
Let n be 3 - 2 - 1*3. Is 33 - (n + (3 - 3)) composite?
True
Let s = 1 + 3. Let v be 22/(-12) + s/(-24). Is (75 - 1)*(-1)/v composite?
False
Let v(w) = -w**3 - 4*w**2 - w + 7. Let r(t) = -t**2 - 4*t. Let d be r(-5). Is v(d) a prime number?
True
Suppose -3*f + 2212 = f. Is f prime?
False
Let t(g) = 2*g**3 - 15*g**2 + 11*g + 13. Is t(10) a composite number?
True
Let t = -6 - -14. Suppose 0 = -3*c + 13 + t. Is c a prime number?
True
Suppose -2*r + 4*u - 1393 = 3*r, 2*r + 552 = -u. Is (-22)/(-99) + r/(-9) prime?
True
Suppose 3*c - 13 = -2*g, 5*c - 20 = -5. Let f be (-20)/(-6) + g/(-6). Is (f/6)/(2/148) a prime number?
True
Let t(b) = 242*b**3 - 2*b**2 + 6*b - 6. Is t(2) composite?
True
Let w(b) = 67*b**2. Is w(1) prime?
True
Let i(g) = g - 23. Let s be i(16). Is s/(2/(-26)*1) prime?
False
Let b(t) be the first derivative of 25*t**3/3 - t**2 + 2*t - 2. Let d be b(2). Suppose -5*j - d + 253 = 0. Is j a composite number?
False
Let m(f) be the second derivative of 7*f**5/10 - f**4/6 - f**3/3 + 2*f. Let i be m(-2). Let w = i + 193. Is w prime?
False
Let i(s) = 13*s**2 + s - 1. Let u be i(4). Suppose -5*f + u + 204 = 0. Is f a composite number?
False
Let x(g) = -5*g**3 - 3*g**2 + 6*g + 3. Is x(-4) a composite number?
False
Suppose -17 = -5*b - 4*h + 55, -4*b - 5*h = -63. Suppose 5*m = 2*m + b. Suppose m*j + 406 = 6*j. Is j prime?
False
Suppose 930 = 2*w - v, -2*w + 472 = -w - 4*v. Let j = w - 21. Is j a composite number?
False
Let h(a) be the third derivative of -a**5/60 + a**4/4 + a**3/3 - a**2. Is h(5) a composite number?
False
Let x be (0 + 2)/(-2)*1. Suppose 5*d + 4 = -3*q - 3, 2*d = -q - 3. Is 1/(x - d) - -64 prime?
False
Suppose 11 + 5 = 4*w, -2*o - 8 = w. Let x(d) = -4*d**3 + 2*d - 4*d**2 + 11 + 6*d - 4 + 3*d**3. Is x(o) prime?
True
Let f(x) = -x + 6. Let i be f(3). Suppose 4*t = 5*t - i. Suppose 0 = -t*p - 25 + 82. Is p prime?
True
Suppose c + 107 - 1230 = 0. Is c prime?
True
Let l(i) = -i**3 - 16*i**2 - 11*i - 19. Suppose 0 = 4*s + 19 + 45. Is l(s) prime?
True
Suppose -7*y + 29565 = -2*y + 2*a, -y - 5*a + 5936 = 0. Is y a prime number?
False
Let c be 88 + 0 - (4 - 3). Suppose c = 4*n - 225. Suppose 0 = -5*x + 2*i + 101, 3*x - 3*i - n = -x. Is x prime?
False
Is 3/1 + (10 - -76) a composite number?
False
Let f(r) be the third derivative of r**6/120 - r**5/10 - 13*r**4/24 - 2*r**3/3 + 3*r**2. Is f(9) a prime number?
False
Suppose 0 = -0*a - 5*a - 15. Is -119*(-1)/((-3)/a) composite?
True
Let c = -4 + 5. Is (178/(-1))/((-2)/c) composite?
False
Suppose -4*p - 2*w = -10360, 2427 + 5356 = 3*p - 5*w. Is p prime?
True
Suppose 0*s + 1149 = s - 2*j, s - 5*j = 1146. Is s a composite number?
False
Let f(p) = -p**3 + 18*p**2 + 4. Is f(17) prime?
True
Let d = 7 + -5. Is d*-3*1*-1 composite?
True
Let r = -2032 + 3503. Is r prime?
True
Let a(p) = -p. Let v be a(-2). Let x be -355*((-6)/(-10) + -1). Suppose 2*t - x = 4*f, -2*t - 3*f = v*t - 317. Is t prime?
False
Let m(d) = -6*d + 2*d**2 + 11*d + 16*d**2 + 5*d**2. Let k be m(5). Suppose k = 4*i + 5*s + 117, -s = 3*i - 376. Is i composite?
False
Is -1 + 3243 + -1 - 0/(-5) prime?
False
Let j(y) = -y**3 - y**2 + 2. Let x be j(0). Is -79*(x - 4)/2 composite?
False
Let c(a) = -a**3 + 7*a**2 + 8*a - 8. Let f = 13 + -7. Let q be c(f). Is (q/6)/((-2)/(-3)) prime?
True
Let c(o) = -36*o + 1. Let w(h) = 2*h - 4. Let y be w(-4). Let v = y + 8. Is c(v) a prime number?
False
Suppose -4*v = -3*c - 34 + 8, 4*c + 33 = 5*v. Let q(g) = g**3 + 3*g**2 + 3*g + 2. Let o be q(c). Suppose o = -0*n - 3*n + 93. Is n a composite number?
False
Let s(m) be the first derivative of m**2/2 - m + 1. Let d be s(3). Is 52 - 2/d*-1 composite?
False
Let b(m) = 18*m + 8. Let h = -8 - -15. Is b(h) prime?
False
Let o(r) = -r**3 - 4*r**2 + 2*r - 1. Let x be o(-7). Suppose x = 3*b - 7*b. Is (b/(-6))/(1/14) a prime number?
False
Let v be -4 - (-1)/(3 + -4). Let o = -3 - v. Is (-8)/o*(-196)/16 prime?
False
Let v = -7 + 5. Is 81 - 2 - -1 - v a composite number?
True
Suppose -26 = d - 5*x, -d + 2*d + 24 = 4*x. Is d/56 - (-1782)/14 a prime number?
True
Suppose 1519 = 9*p - 1082. Is p prime?
False
Let n = 11 + -36. Let p be (2/(-5))/((-5)/n). Is 22 - (0/2)/p a composite number?
True
Suppose 0 = -2*f + m + 71, -m = -5*f - 3*m + 191. Is f composite?
False
Suppose -3*d - 2*d = -25. Suppose d*y - 92 + 657 = 0. Let w = y + 164. Is w a prime number?
False
Let x = 96 + -43. Is x a prime number?
True
Let c = -12 + 22. Is c a prime number?
False
Let z(q) be the first derivative of 1/4*q**4 + 2 + 5/3*q**3 + 0*q - 7/2*q**2. Is z(-5) a prime number?
False
Suppose 3*u - 4*a - 10 = 14, 5*u + 5*a - 40 = 0. Let l be ((-16)/u)/(0 - -2). Is 993/12 - l/4 a prime number?
True
Suppose 2*c - 556 - 534 = 0. Is c a prime number?
False
Suppose -6*n = -2*n - 232. Is n a prime number?
False
Let a(i) = 2*i - 4. Let h be a(3). Is 2322/42 - h/7 a prime number?
False
Suppose 4*j + 0*j + 8 = 0. Is (j*133/(-2))/1 composite?
True
Let s = 2174 + 942. Is s/7 - 12/84 a composite number?
True
Let g be -10*(12/3)/(-8). Suppose -3*c - 2*p + 22 = 0, -2*p + 25 + 5 = 5*c. Suppose -3*o = 1 - c, 102 = q + g*o. Is q composite?
False
Suppose 5613 = -0*d - d. Is (-8)/28 + d/(-21) a prime number?
False
Let r(x) = -31*x + 4. Is r(-3) prime?
True
Is (1 + -308)*(-4 + (-1 - -3)) prime?
False
Is 1/(3290/(-1097) + 3) composite?
False
Let k = -13 + 1. Is (-16)/6*117/k a prime number?
False
Let h(t) = t + 2. Let j(p) = -2*p - 2. Let r be j(-4). Let m be h(r). Suppose -d = 4*n - 145, -m + 39 = n + 2*d. Is n a prime number?
True
Let r(b) = b**2 + 6*b - 18. Is r(5) a prime number?
True
Let i(t) = -t**3 - 3*t**2 - 5*t - 1. Let l(a) be the first derivative of -a**4/4 - 5*a**3/3 - a**2 + 4*a + 2. Let d be l(-4). Is i(d) prime?
False
Let q(m) = 7*m + 1 - 6*m + 8*m. Is q(6) composite?
True
Let g(n) = -4228*n**3 + n**2. Is g(-1) a prime number?
True
Let d = -16 - -8. Let o(j) be the second derivative of j**4/12 + 4*j**3/3 + 7*j**2/2 - 4*j. Is o(d) a composite number?
False
Suppose -2*m - 5*f + 9 = 0, -2*m + 0*f = f - 5. Suppose 4*j - 209 = -3*h, 0*j - m*j + 102 = 4*h. Is j a composite number?
False
Suppose 4 = -2*j - 2*h, 0 = 4*h - 4 + 16. Let w(l) = 18*l + 1. Let m be w(j). Let p = m + 4. Is p composite?
False
Let o(j) = -j - 2. Let f be o(-6). Suppose -20 = -v - 5*x + 1, -f*v - 5*x + 39 = 0. Let h(n) = -n**2 + 11*n - 5. Is h(v) composite?
True
Let j = 146 - 67. Is j prime?
True
Let o = 0 + 4. Suppose o*z - 2 - 18 = 0. Is (-2)/z + (-172)/(-5) a prime number?
False
Suppose 7*u - 6*u = 839. Is u a prime number?
True
Let y(j) = -2604*j**3 - j**2 + j + 3. Is y(-1) a composite number?
True
Suppose 5*k + 46 - 9705 = 4*d, 3*d - 1928 = -k. Is k a composite number?
False
Suppose -5*s + 5*i = -2340, -3*i + 674 = 3*s - 748. Is s prime?
False
Is (-102460)/(-6) + 1/3 a prime number?
True
Let j(k) = -k**2 + 7*k - 18 + 18. Let f be (-10)/3*6/(-4). Is j(f) a composite number?
True
Is 342/4 + (-2)/(-4) composite?
True
Let w(q) = 121*q. Is w(1) prime?
False
Let i = -6 - -7. Suppose z = i + 2. Suppose -99 = z*l - 6*l. Is l a prime number?
False
Let f = -28 - -47. Let s = -10 + f. Is s composite?
True
Let o = 92 - 169. Let m = 39 + o. Let n = 1 - m. Is n a composite number?
True
Let a(l) be the second derivative of -13*l**3/6 + 8*l**2 + 4*l. Is a(-13) composite?
True
Let l = 204 - 304. Let p = 115 - l. Is p prime?
False
Let o = 4444 - 2397. Is o a composite number?
True
Let h(u) = u + 1. Let z be h(3). Is z/(-20) + 386/5 a prime number?
False
Suppose -515 = 2*g + 3*g + 5*j, g + 3*j = -97. Let i = 248 + g. Suppose 572 = 4*p - 2*a, -p + 2*a + i = -1. Is p a prime number?
False
Let t(c) = -2*c - 6. Suppose 0*o = -o - 4. Let z be t( | {
"pile_set_name": "DM Mathematics"
} |
) = -i**3 + 20*i**2 + 101*i - 95. What is g(24)?
25
Let g(m) = 2*m**3 + 37*m**2 - 103*m + 31. Give g(-21).
-11
Let b(i) = -7*i + 252. Calculate b(35).
7
Let t(z) = 50*z - 9282. Calculate t(186).
18
Let f(d) = d**3 - 12*d**2 - 29*d - 11. Determine f(13).
-219
Let s(x) = 7*x**2 - 6*x - 16. What is s(-3)?
65
Let u(w) = 4*w**2 + 11*w + 24. Give u(-8).
192
Let g(b) = 6*b**2 - 216*b + 34. Calculate g(38).
490
Let n(j) = 3*j**2 + 14*j - 23. What is n(-6)?
1
Let w(v) = -179*v + 36. Give w(1).
-143
Let m(d) = d**3 - 28*d**2 + 120*d - 585. What is m(24)?
-9
Let a(j) = 2*j**2 + 868*j + 46743. Calculate a(-63).
-3
Let l(d) = d**2 + d - 114. Give l(-11).
-4
Let w(l) = -16*l**2 - 1326*l + 186. Calculate w(-83).
20
Let y(a) = -a**3 + 92*a**2 + 158*a + 2908. Determine y(94).
88
Let x(o) = 45*o**2 - 486*o - 660. Calculate x(12).
-12
Let j(f) = -3*f**3 - 214*f**2 + 364*f - 46. Determine j(-73).
27
Let z(a) = a**2 + 143*a + 2762. Calculate z(-23).
2
Let f(j) = 6*j**3 + 318*j**2 + 3*j + 145. Calculate f(-53).
-14
Let n(a) = a**2 - 5*a + 21. What is n(7)?
35
Let c(o) = o**3 - 2*o - 57. Give c(0).
-57
Let c(u) = 2000*u + 116010. Give c(-58).
10
Let d(v) = 1336*v - 98870. Calculate d(74).
-6
Let n(q) = 2*q**2 + 186*q + 2028. What is n(-80)?
-52
Let z(o) = 930*o - 9295. Give z(10).
5
Let n(l) = l**2 + 24*l - 131. What is n(-39)?
454
Let v(y) = y**3 + 48*y**2 - 11*y - 585. Calculate v(-48).
-57
Let y(s) = -2*s**3 - 25*s**2 + 4*s + 26. Give y(-11).
-381
Let i(v) = -75*v + 29. Calculate i(1).
-46
Let m(r) = 424*r - 2184. Determine m(5).
-64
Let v(w) = 894*w + 7136. What is v(-8)?
-16
Let c(b) = 9*b**2 + 43*b + 2. Determine c(-5).
12
Let s(w) = -w**3 + 50*w**2 - 302*w + 38. Give s(43).
-5
Let d(h) = -h**2 + 7*h + 422. Determine d(-17).
14
Let l(g) = 2225*g + 24465. Give l(-11).
-10
Let c(o) = 5*o + 293. Calculate c(9).
338
Let k(w) = w**2 + 17*w - 73. What is k(-21)?
11
Let m(t) = -4*t**2 - 2*t + 25. What is m(-4)?
-31
Let b(i) = 257*i - 1497. Determine b(6).
45
Let d(u) = 4*u**2 - 14*u + 16. Determine d(3).
10
Let y(z) = z**3 - 7*z**2 - 54*z + 45. Calculate y(11).
-65
Let b(h) = -81*h + 364. Give b(4).
40
Let s(y) = -2*y**2 + 80*y - 232. Calculate s(37).
-10
Let i(a) = -2*a**2 - 111*a - 150. Give i(-55).
-95
Let j(b) = -145*b + 1033. Give j(8).
-127
Let o(a) = a**2 + 32*a + 77. Determine o(-32).
77
Let i(c) = -5*c**2 - 120*c - 123. What is i(-24)?
-123
Let w(h) = h**3 - 24*h**2 - 61*h - 45. Give w(26).
-279
Let n(m) = -93*m - 582. Calculate n(-11).
441
Let w(m) = 3*m**3 + 41*m**2 + 61*m + 23. Give w(-12).
11
Let x(y) = 2*y**2 - 60*y + 406. Determine x(10).
6
Let v(r) = -4*r**2 - 16*r + 41. Determine v(2).
-7
Let u(v) = -v**3 + 36*v**2 + 53*v + 359. Give u(38).
-515
Let o(x) = 7*x**3 + 7*x**2 + 2*x - 8. Calculate o(-4).
-352
Let h(l) = l**3 - 29*l**2 - 60*l - 86. Give h(31).
-24
Let p(g) = -2*g**2 - 1300*g - 5174. Give p(-4).
-6
Let h(j) = -99*j**2 - 98*j + 1. Give h(1).
-196
Let c(x) = 3*x**2 - 10*x - 33. Determine c(4).
-25
Let v(a) = -2*a**3 - 37*a**2 + 23*a + 28. Calculate v(-19).
-48
Let d(a) = 240*a - 1439. Give d(6).
1
Let i(u) = -578*u + 3467. Give i(6).
-1
Let k(y) = y**2 - 304*y + 8637. Calculate k(32).
-67
Let m(z) = 126*z + 1190. What is m(-9)?
56
Let x(m) = 4*m**2 - 119*m + 98. What is x(29)?
11
Let z(w) = -9*w**2 + 103*w - 66. Give z(9).
132
Let y(d) = -d**3 + 166*d**2 - 1112*d - 135. Determine y(159).
24
Let w(n) = 138*n + 904. Calculate w(-7).
-62
Let d(t) = 2*t**2 + 214*t - 10662. Calculate d(37).
-6
Let i(r) = 301*r - 1370. Give i(5).
135
Let d(u) = u**2 + 68*u + 1100. Give d(-46).
88
Let q(t) = 983*t - 11800. What is q(12)?
-4
Let i(x) = -40*x - 4505. What is i(-113)?
15
Let x(o) = 3*o**3 + 210*o**2 + 9*o + 640. Calculate x(-70).
10
Let n(d) = -d**3 + 92*d**2 - 353*d + 80. Calculate n(88).
-8
Let w(u) = -u**3 - 8*u**2 - 9*u - 6. Calculate w(-5).
-36
Let j(c) = -c**2 + 328*c + 987. Determine j(-3).
-6
Let x(f) = -2*f**3 + 11*f**2 - 14*f - 16. What is x(7)?
-261
Let a(g) = -9*g - 276. Calculate a(-25).
-51
Let f(d) = -1125*d + 6757. Give f(6).
7
Let s(g) = -10*g**2 - 3753*g - 3753. Calculate s(-1).
-10
Let v(c) = -c**3 - 50*c**2 + 3*c + 136. Calculate v(-50).
-14
Let k(o) = 13*o + 89. Determine k(-23).
-210
Let s(i) = 59*i + 468. Determine s(-8).
-4
Let x(v) = -2*v**2 - 214*v - 1756. Determine x(-98).
8
Let k(p) = -p**2 + 95*p - 566. Determine k(89).
-32
Let v(n) = n**3 - 7*n**2 - 261*n + 8. Determine v(20).
-12
Let m(f) = -4*f + 55. Determine m(15).
-5
Let f(n) = n**3 - 18*n**2 - 361*n - 35. What is f(-12)?
-23
Let s(t) = -6*t**2 - 74*t + 179. Calculate s(-15).
-61
Let m(j) = -j**3 + 20*j**2 + 69*j - 349. Calculate m(22).
201
Let r(j) = 35*j**2 - 52*j - 6. Give r(2).
30
Let o(p) = -571*p - 5696. Determine o(-10).
14
Let q(h) = -18*h**2 + 6*h + 1. What is q(3)?
-143
Let b(t) = 15*t + 49. What is b(-10)?
-101
Let q(d) = -d**3 - 24*d**2 - 29*d - 715. Give q(-24).
-19
Let v(a) = -a**3 + 99*a**2 + 183*a + 2025. Determine v(101).
106
Let z(b) = b**3 - 99*b**2 - 142*b + 4214. Calculate z(100).
14
Let r(u) = 1385*u - 11081. Determine r(8).
-1
Let l(b) = b**2 - 141*b - 748. Calculate l(-5).
-18
Let o(v) = 232*v - 486. What is o(2)?
-22
Let f(j) = -j**3 - 7*j**2 - 13*j - 6. Give f(-6).
36
Let q(h) = -10*h**2 + 127*h - 364. Calculate q(3).
-73
Let y(h) = 2*h**3 - 5*h**2 - 4*h + 18. Determine y(-4).
-174
Let i(q) = -33*q + 376. Determine i(12).
-20
Let l(b) = -b**3 - 7*b**2 + 7*b + 25. Determine l(-2).
-9
Let r(k) = -52*k**2 - 526*k - 40. What is r(-10)?
20
Let r(q) = 5*q**3 + 14*q**2 - 14*q - 57. Calculate r(-2).
-13
Let w(n) = 6*n + 465. Calculate w(-80).
-15
Let f(b) = 17*b**3 + 6*b**2 - 24*b + 27. What is f(2)?
139
Let m(h) = h**3 - 27*h**2 + 52*h - 4. What is m(23)?
-924
Let v(g) = -12*g - 523. Give v(7).
-607
Let h(g) = -9*g - 33. Give h(-2).
-15
Let r(l) = -328*l - 11479. Calculate r(-35).
1
Let d(z) = 4*z**3 - 57*z**2 + 33*z + 86. Determine d(13).
-330
Let p(d) = 379*d - 6832. What is p(18)?
-10
Let b(m) = -37*m - 893. What is b(-25)?
32
Let a(r) = 3*r**2 - 3*r - 24. Determine a(-5).
66
Let o(k) = -k**3 - 14*k**2 - 8*k - 70. Determine o(-14).
42
Let i(w) = -107*w - 142. What is i(-8)?
714
Let v(q) = -3*q**3 + 10*q**2 + 17*q - 46. Calculate v(5).
-86
Let u(x) = -x + 9. Give u(-16).
25
Let n(t) = t**3 + 3*t**2 - 20*t + 17. What is n(-7)?
-39
Let u(q) = q**3 + 5*q**2 + 18*q + 39. Determine u(-3).
3
Let t(r) = -4*r**3 + 80*r**2 + 90*r - 125. What is t(21)?
1
Let m(l) = 7*l**3 - 222*l**2 - 61*l - 66. Give m(32).
30
Let u(s) = -30*s + 994. What is u(34)?
-26
Let m(f) = -f**2 - 8*f - 40. Calculate m(-15).
-145
Let i(r) = r**3 - 20*r**2 + 87*r - 48. Determine i(14).
-6
Let d(h) = -2*h**3 - 790*h**2 - 5424*h + 3104. Calculate d(-388).
0
Let q(x) = 52*x - 8106. Give q(156).
6
Let j(q) = 17*q - 90. Give j(-12).
-294
Let f(p) = 184*p - 2921. Determine f(16).
23
Let t(c) = -8*c**3 + 57*c**2 - 16*c + 64. Calculate t(7).
1
Let z(s) = 38*s**2 - 532*s + 49. Give z(14).
49
Let d(k) = -k**3 - 23*k**2 - 75*k - 180. Calculate d(-19).
-199
Let j(v) = 110*v - 3049. Determine j(28).
31
Let q(r) = -22*r**2 + 195*r + 32. Determine q(9).
5
Let h(p) = -p**3 + 35*p**2 + 39*p - 34. Determine h(36).
74
Let b(w) = -8*w**2 + 8*w + 4. Give b(8).
-444
Let d(o) = 3*o**3 - 16*o**2 + 3*o + 21. Determine d(4).
-31
Let l(g) = g**3 + 196*g**2 + 80*g - 22424. Calculate l(-195).
1
Let i(g) = -8*g**2 + 271*g + 41. Calculate i(34).
7
Let t(r) = 17*r**2 + 4*r - 7. Calculate t(0).
-7
Let t(y) = 281*y - 2427. Calculate t(8).
-179
Let a(q) = -66*q + 24. Determine a(-3).
222
Let y(q) = q**2 - 37*q - 135. Calculate y(43).
123
Let g(p) = -2*p**2 + 122*p - 6. Determine g(64).
-390
Let m(t) = -4*t**2 + 236*t + 1308. What is m(64)?
28
Let s(c) = -4*c**2 - 89*c - 175. Calculate s(-20).
5
Let z(f) = 20*f + 429. What is z(-22)?
-11
Let w(y) = -110*y + 1536. Give w(13).
106
Let g(t) = -126*t + 852. What is g(7)?
-30
Let f(r) = 21*r - 118. Calculate f(10).
92
Let t(r) = -134*r - 1633. Calculate t(-12).
-25
Let g(n) = -n**3 + 9*n**2 + 435. Give g(12).
3
Let y(n) = -n**2 - n + 103. Calculate y(10).
-7
Let o(u) = 19*u**2 + 3142*u - 1983. What is o(-166)?
9
Let n(u) = -u + 118. What is n(39)?
79
Let s(h) = h**2 - 627*h - 2518. What is s(-4)?
6
Let j(o) = -o**2 - 33*o - 104. Determine j(-40).
-384
Let v(u) = 12*u + | {
"pile_set_name": "DM Mathematics"
} |
ase 5) to base 9
17687554
681297 (base 10) to base 16
a6551
What is 295b5 (base 15) in base 14?
36624
What is -103b60 (base 16) in base 3?
-2000001020010
What is 744911 (base 10) in base 9?
1354738
966730 (base 12) to base 11
1382679
1829596 (base 12) to base 6
255523510
What is -211200220012 (base 3) in base 12?
-196695
7650a (base 11) to base 9
178341
-11000100110110100110 (base 2) to base 6
-25140530
-3312220 (base 4) to base 13
-7252
Convert 4414004033 (base 5) to base 9.
18813622
1125998 (base 10) to base 11
6a9a85
What is 7205569 (base 11) in base 5?
11224332424
-11a488 (base 11) to base 2
-101110010010001110
30074a (base 12) to base 14
156614
Convert -2788625 (base 9) to base 16.
-176c4e
-101010111110011101001 (base 2) to base 8
-5276351
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2454747
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-104102104
What is 1020120112120 (base 3) in base 11?
411579
Convert -2775652 (base 8) to base 9.
-1426230
Convert 20220343 (base 6) to base 16.
8d267
-1291991 (base 10) to base 5
-312320431
Convert 2087585 (base 9) to base 5.
241332310
8084a4 (base 15) to base 12
2063a3a
Convert -222221122100 (base 3) to base 12.
-216b83
-11111011001000001011 (base 2) to base 3
-1221021000000
What is -3844391 (base 10) in base 6?
-214222035
5411541 (base 6) to base 14
6cd93
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267165
29113f (base 16) to base 5
1142111031
103344334 (base 5) to base 11
288083
68372 (base 13) to base 9
318002
Convert 124121030 (base 7) to base 15.
a620db
What is -2a59989 (base 11) in base 2?
-10011111111010011000010
Convert 246480 (base 11) to base 9.
652821
Convert a84900 (base 12) to base 9.
5007130
17229 (base 16) to base 4
113020221
-92a831 (base 11) to base 2
-101101100100000111101
Convert 319945 (base 12) to base 13.
215bac
Convert -22200122021111 (base 3) to base 6.
-242553321
11033323320 (base 4) to base 7
14460432
What is 1172a4 (base 13) in base 10?
415705
-64113062 (base 7) to base 15
-7247c5
66591 (base 15) to base 5
40402021
Convert -2135244 (base 6) to base 15.
-216c1
Convert 412024412 (base 5) to base 16.
198a04
Convert -2173496 (base 11) to base 12.
-13396b6
What is 173c013 (base 15) in base 5?
13311224033
Convert -22120100102 (base 3) to base 6.
-3340445
Convert -744296 (base 12) to base 2.
-110111111010010010010
4144452 (base 6) to base 14
53184
What is -1001010110011011001000 (base 2) in base 4?
-21112123020
Convert 212100000211100 (base 3) to base 6.
1121443313
What is 11214330 (base 5) in base 12?
4a6a7
Convert -61526 (base 10) to base 11.
-42253
-10100202202 (base 3) to base 16
-1027a
-1e234d (base 16) to base 11
-1129a31
What is -a3829a (base 13) in base 15?
-505cd9
What is -765053 (base 11) in base 15?
-1920b1
Convert -305946 (base 11) to base 3.
-220221110020
What is -322763 (base 8) in base 11?
-7417a
What is -5ee7b1 (base 16) in base 13?
-1399cc3
What is -2805365 (base 9) in base 4?
-11313302111
Convert 10011011010010111011101 (base 2) to base 8.
23322735
-415ab (base 12) to base 3
-11100022112
241e55 (base 15) to base 8
6456557
What is 16a1755 (base 12) in base 3?
22211020021202
Convert 208568a (base 13) to base 11.
5648745
27200 (base 15) to base 3
20100220200
22012224 (base 7) to base 4
13030112103
What is 7a4f2 (base 16) in base 10?
500978
Convert 1463550 (base 7) to base 12.
98100
What is 159900 (base 10) in base 9?
263306
Convert -a5794a (base 13) to base 3.
-21021202100020
Convert -3407470 (base 9) to base 6.
-103204013
Convert 123444213 (base 5) to base 7.
5115260
What is -41124 (base 12) in base 16?
-14b6c
9c1502 (base 13) to base 9
6840155
What is 343371 (base 8) in base 2?
11100011011111001
-519382 (base 12) to base 13
-35b09a
-11022332120 (base 4) to base 11
-84659a
Convert -104131322 (base 6) to base 15.
-2717b2
13c235 (base 13) to base 5
110434342
What is 2917c4 (base 13) in base 14?
1c1835
Convert -12373624 (base 8) to base 11.
-1609424
Convert 23c8b0 (base 14) to base 15.
1931d1
Convert -1244102 (base 5) to base 8.
-60506
What is -11201010210 (base 3) in base 5?
-10431220
Convert -420304001 (base 5) to base 2.
-110100110000001110010
311a22 (base 15) to base 8
10717307
Convert -29714 (base 11) to base 10.
-42123
Convert 1653216 (base 8) to base 15.
9775a
What is 10310442 (base 5) in base 14?
24235
Convert 522292 (base 15) to base 12.
1384132
What is -1110220 (base 3) in base 14?
-56d
Convert -2377720 (base 10) to base 16.
-2447f8
520262 (base 8) to base 9
282204
What is -1889254 (base 14) in base 10?
-12164618
Convert -c30cc4 (base 14) to base 6.
-352504204
What is -a11637 (base 11) in base 6?
-54513320
-11010011110100110010101 (base 2) to base 3
-111001122100221
-2809a (base 14) to base 13
-36043
Convert 20223110131 (base 4) to base 8.
10532435
-103401 (base 10) to base 16
-193e9
What is -10205431 (base 6) in base 14?
-7a1d1
b4d3 (base 15) to base 3
1221102200
What is 2208475 (base 12) in base 13?
1460477
Convert -439702 (base 12) to base 4.
-10012032302
What is -10a0bd (base 15) in base 14?
-169167
What is 13010321 (base 4) in base 8?
70471
What is 21012120222210 (base 3) in base 7?
44361435
What is 124342312 (base 5) in base 15?
c428c
Convert 6302c (base 15) to base 12.
1317b9
-2020220122212 (base 3) to base 14
-232d1c
What is 4004212 (base 6) in base 7?
1410563
Convert 22380c (base 14) to base 10.
1162292
What is -3f12d (base 16) in base 10?
-258349
-c1ca4 (base 14) to base 11
-299318
What is 231b7 (base 12) in base 5?
3000224
Convert -1298737 (base 10) to base 2.
-100111101000100110001
145405023 (base 6) to base 8
13542007
What is 350a00 (base 16) in base 14?
666a76
-105854 (base 10) to base 7
-620420
20020102202012 (base 3) to base 5
1322042213
Convert 143585 (base 9) to base 14.
240b0
Convert -367668 (base 11) to base 13.
-174673
What is 133330013 (base 4) in base 9?
218408
What is 26a77 (base 15) in base 2?
11110001111010110
Convert -1cceb1 (base 15) to base 2.
-101011000011010000011
Convert -902c11 (base 13) to base 9.
-6262621
What is -337008 (base 9) in base 11?
-1287a3
5774656 (base 10) to base 9
11771304
Convert 100210102002010 (base 3) to base 4.
103312212210
Convert -238a36 (base 13) to base 5.
-204110310
What is 657a07 (base 14) in base 15?
47e4b9
-4250f (base 16) to base 12
-11123b
What is 11001110110110100 (base 2) in base 8?
316664
Convert -4525214 (base 8) to base 4.
-10222222030
-4525501 (base 8) to base 4
-10222231001
-22b537 (base 14) to base 6
-41212021
-1006003 (base 7) to base 9
-202181
1365665 (base 10) to base 3
2120101100012
What is 11000330303 (base 4) in base 12?
53492b
Convert -1076566 (base 8) to base 5.
-33404022
Convert -3a6 (base 16) to base 12.
-65a
335265 (base 14) to base 3
10021112211122
862184 (base 9) to base 12
209111
-1cc045 (base 13) to base 9
-1347627
Convert 165863 (base 9) to base 15.
206b0
-208c5c (base 15) to base 6
-53105053
Convert 245346 (base 8) to base 3.
11022012102
Convert -4522e (base 15) to base 11.
-140211
381021 (base 9) to base 6
4534331
What is 1973072 (base 10) in base 8?
7415520
Convert 626220 (base 7) to base 3.
12110220010
What is -4535105 (base 8) in base 15?
-1939c3
Convert 240535324 (base 6) to base 10.
4522948
Convert -2712751 (base 8) to base 12.
-307489
What is 17a2e (base 16) in base 15?
1da44
-14653052 (base 7) to base 13
-3a3b89
Convert -220031032 (base 4) to base 9.
-270814
What is 10a867 (base 11) in base 9?
286541
Convert -201324443 (base 5) to base 2.
-11000101010010111011
-12012012021 (base 3) to base 16
-18f3a
b38104 (base 16) to base 3
211010200010200
What is 529234 (base 10) in base 4?
2001031102
What is -210311011323 (base 4) in base 3?
-200011111200200
What is -ba9476 (base 14) in base 6?
-343330052
-38bbc (base 16) to base 11
-149655
Convert 253e25 (base 15) to base 3.
10100200210222
-7060288 (base 9) to base 14
-6dc219
Convert -dc2613 (base 15) to base 2.
-101000000000011011000101
-c81da (base 14) to base 3
-220120000012
-e497b (base 15) to base 7
-6104633
What is 162011 (base 8) in base 15?
1246c
Convert 7241a (base 13) to base 8.
620334
What is -e9576e (base 16) in base 6?
-1303433314
Convert 1a1988b (base 13) to base 7.
133003251
What is -49601 (base 10) in base 15?
-ea6b
What is -1894b8 (base 15) in base 11?
-747492
1001101001011101100 (base 2) to base 5
40104030
Convert -4876 | {
"pile_set_name": "DM Mathematics"
} |
- 4*g + g, -u*k + 58 = 5*g. Let d = k - -48. Is d a composite number?
True
Let f(b) = -42*b + 1. Let n(d) = d**3 + 5*d**2 - 4*d + 7. Let o be n(-6). Is f(o) a composite number?
False
Let a(c) = -c**2 - 2*c + 2. Let r be (-2)/(-1) - (-10)/(-2). Let j be a(r). Let z(g) = -15*g. Is z(j) a composite number?
True
Let x(m) = 8*m**2 + 3*m - 7. Is x(-8) composite?
True
Let y = 0 - -3. Let b(a) = 14*a + 12. Let l(i) = -15*i - 11. Let v(s) = y*l(s) + 2*b(s). Is v(-8) a prime number?
True
Let o(s) = -10*s + 7. Let x be o(10). Let j = 118 - x. Is j prime?
True
Let j(p) = -p + 13 + 0*p + 3 - 3. Let h be j(9). Suppose 0 = 4*s - h*u - 1000, -5*s + 3*u + 1256 = 4*u. Is s composite?
False
Let k(i) = -i**3 - 4*i**2 + 5*i. Let m be k(-5). Suppose 3*d - 37 + 13 = -3*w, -2*d = -w + 14. Suppose m = -4*u + 3*o + 53, u - 3*u + w = 4*o. Is u prime?
True
Let w(s) = -69*s**3 + 2*s**2 - 2*s - 1. Is w(-2) a composite number?
False
Is 1/1*(-4 + 383) a composite number?
False
Let l = 5242 - 1457. Is l a composite number?
True
Let c = -1 - -3. Suppose -c*u + i = 6, -4*i + 5 + 16 = -5*u. Let t(f) = -34*f**3 + 2*f**2 - 1. Is t(u) composite?
True
Let k(q) = 2*q**3 - 3*q**2 + 4*q - 2. Let w be k(2). Suppose 0*x = 5*x - w. Suppose x*h = -h + 57. Is h prime?
True
Let d(o) = 2*o**2 + 0*o**2 - 5*o**3 - o + 6*o**3. Let s be d(1). Is 31/s - 2/4 composite?
True
Suppose y - 5*i = 326, i + 992 = 2*y + y. Is y a composite number?
False
Let b(c) = c - 6. Let z be b(6). Suppose z = -5*a - 0 + 20. Suppose -2*g - 2*g + 224 = a*n, 0 = 2*n + 3*g - 113. Is n a prime number?
False
Let q be 0 + 226 + 6/3. Suppose 3*f - 4*b = -0*f + 166, 0 = 4*f - 4*b - q. Is f a prime number?
False
Is ((-15)/(-4) - 3) + (-22045)/(-20) composite?
False
Let h(f) = 52*f + 1. Suppose -2*o + 3*o + 8 = 0. Let v = o - -9. Is h(v) a prime number?
True
Suppose 3*a - a - 6 = 0. Suppose 3*l = -l + a*o + 8, -4*l + 5*o + 8 = 0. Is 3/1 + 256/l composite?
False
Suppose 2*d + 1117 = w + 4*d, 5*w - 5580 = -5*d. Is w composite?
True
Let t(w) = -w**3 - 5*w**2 + 5*w - 10. Let f be ((-3)/(-6))/(2/(-28)). Is t(f) a composite number?
False
Let q(z) = z + 4. Let k be q(0). Is (410/15)/(k/30) a composite number?
True
Let f = -407 + 100. Let h = f - -181. Let k = 181 + h. Is k composite?
True
Let u(t) = -t**2 + 12*t - 10. Let x be u(11). Let i = x + 1. Is ((-10)/(-4))/(i/44) prime?
False
Is (-2)/(-5) - 8169/(-15) prime?
False
Let o be 1 - ((-4)/(-4) - -2). Is 238/4*(-4)/o prime?
False
Let r = -445 - -752. Is r composite?
False
Suppose -5*n + x = -1, 2*n = -2*n + x + 1. Suppose t - 6 + 3 = 0. Is 60 + 2 + t + n a prime number?
False
Suppose k = -k + 6. Suppose -o - 8 = k*o. Let y(j) = -93*j - 3. Is y(o) composite?
True
Suppose 20 = 5*i, -i = -f + 1093 + 880. Is f composite?
True
Let n be -1 + 2/(1 - -1). Suppose -b = -n*b + 4*u - 115, 256 = 2*b - 5*u. Is (-2 + -1)/((-3)/b) composite?
True
Let k be (-3)/(1/(-4 - -1)). Suppose 3*i - n + 4*n = 798, 0 = 3*n - k. Is i a prime number?
True
Let s = -175 + 298. Is s a composite number?
True
Let f be ((-8)/3)/((-3)/63). Suppose 138 = 2*y - f. Is y prime?
True
Let m = 12 - 27. Let b = -10 - m. Suppose 0 = b*a - 235 - 190. Is a a composite number?
True
Let q be ((-8)/(-4))/((-2)/(-5)). Suppose -316 = -9*t + q*t. Is t a prime number?
True
Is 4/(-14) - 970/(-14) prime?
False
Let t(q) = q + 6. Let w be t(0). Let z be -1*8/w*3. Let h = z + 10. Is h a prime number?
False
Let o(p) = p**3 - 6*p**2 - 5*p - 9. Let t be o(7). Suppose 2*d - 523 = -t*n, d + 2*n + 257 = 2*d. Is d prime?
False
Let n(x) = 4*x**2 - x - 1. Let v be n(-3). Let o = -38 - -65. Let m = v - o. Is m a composite number?
False
Let a = -230 + 409. Is a prime?
True
Let l = -3 + 7. Suppose 3*r - 5*u = 7*r + 4, -2*r = 4*u - l. Is 65/(-2)*(r - -4) a composite number?
True
Let c = 2 + 1. Suppose -c*h - 5 + 23 = 0. Let t(w) = w**3 - 5*w**2 - 5*w + 7. Is t(h) composite?
False
Suppose 75*g = 70*g + 1465. Is g a prime number?
True
Let b = 140 + -46. Is b a prime number?
False
Suppose 2*i + 9 = -i. Is 6/((-1)/i*2) composite?
True
Let n(m) = 6*m**2 - 3*m**2 + 69*m**3 - 4*m**2 + 1. Let j be n(1). Let f = j - 30. Is f a prime number?
False
Let k(o) = -4*o - 5. Let u be k(-6). Suppose -y - u = -l + 29, -102 = -2*l - 4*y. Is l composite?
True
Let a be -3 - 0 - 9/(-6)*6. Let t be (2/4)/((-2)/4). Is 2/(a/(-39)*t) a prime number?
True
Suppose -4*m + m - 1242 = 0. Let c = -223 - m. Is c composite?
False
Suppose z + 1 - 3 = 0. Let l(g) = -4 + 2*g - g**z + 226*g**3 + 3 - 63*g**3 + 0. Is l(1) a prime number?
True
Let y(z) = z**2 - 3*z - 9. Let a(w) = w**2 - 3*w - 9. Let h(p) = 5*a(p) - 6*y(p). Let l be h(7). Let m = l + 56. Is m a prime number?
True
Let c(f) = f**2 - 2*f - 5. Suppose 2*x + 3*x = 20. Let g be c(x). Suppose m - 4*m + 138 = -g*j, 0 = -2*m + 3*j + 95. Is m prime?
True
Suppose -14*f + 15*f = 4. Suppose -3*u = -f*v - 1241, -4*v - 1009 = -4*u + 647. Is u a composite number?
True
Is -555*(-4 + (-68)/(-12) - 2) a composite number?
True
Let q = 3774 - 181. Is q a prime number?
True
Suppose 0*m - 4033 = -4*m - 3*j, 0 = -m - 4*j + 1005. Is m a composite number?
False
Let h be (-5)/(-2) - 1/2. Let g = h + 1. Suppose -g = 3*v, 2*v - 184 = -5*p + v. Is p a composite number?
False
Suppose -5*u + 620 = 5*p, -u = -20*p + 25*p - 128. Is u a composite number?
True
Let t = -39 - -97. Is t composite?
True
Let a = -27 + 11. Let f be 4/(-18) + 418/18. Let p = a + f. Is p composite?
False
Let j = 1168 + -725. Is j prime?
True
Suppose -3*n = -o + 322 + 893, -2*o + 4*n + 2432 = 0. Suppose -o = -4*s + 10. Is s prime?
True
Let u be -3*(-1)/(-3)*-5. Suppose 2*n - n - 4 = 2*y, y = -u*n + 20. Is 51/n + (-4)/(-16) composite?
False
Let s(p) = 1309*p - 6. Is s(1) prime?
True
Let o = 152 - 59. Let y = o + -58. Is y prime?
False
Let s(f) = -1 + 0*f + 4*f + f - f. Is s(5) composite?
False
Suppose 9*i - 20*i = -32417. Is i composite?
True
Let o(l) be the first derivative of 4*l**3/3 - 7*l**2 + 11*l - 7. Is o(9) a composite number?
True
Suppose -k + 5*c + 198 = 0, 3*c = 4*k - 0*k - 843. Let m = 23 + k. Suppose m = 4*f - 4*i, 0 = -f - 5*i + 25 + 10. Is f prime?
False
Suppose 3*l + 2*l = 235. Suppose 0 = -n + 6 + l. Is n a composite number?
False
Is -2*(-3729)/6 + (-16)/(-4) composite?
True
Let g(w) = -w**2 - w + 65. Let z be g(0). Let n = -34 + z. Is n a prime number?
True
Let l = 798 + -561. Is l a prime number?
False
Let g = 3033 - 2078. Is g a prime number?
False
Suppose 3*p = 5*m - 31151, m - 2*p - 4497 - 1736 = 0. Is m composite?
False
Is (-1 - 2) + 2 + 204 a prime number?
False
Let g(q) = -q**3 - 6*q**2 + 3*q + 6. Suppose 0 = -3*k - 12 - 9. Let z be g(k). Suppose z = p + 3. Is p a prime number?
True
Suppose -4*s = 3*l - 2, -3*s - 2*l = s - 4. Let k(z) = -z**3 + 4*z**s - 12*z**2 - 9*z + 2 + 3*z + 1. Is k(-8) prime?
False
Let z = 0 - -5. Suppose -5*l + 4*l = 3. Is -11*z*l/3 prime?
False
Let x(w) = w**2 + 11*w - 3. Let v be x(-9). Is 7/v + 200/6 prime?
False
Let i be (-38)/(-14) - 8/(-28). Suppose -5*o = -i*v - 150, -5*o - 4*v + 92 = -58. Suppose -25 = -b + o. Is b a composite number?
True
Let j be (40/16)/((-2)/(-4)). Let v(q) = 13*q**2 + 2*q - 6. Is v(j) composite?
True
Let u = 101 - 57. Let d = u + -66. Let l = 41 + d. Is l a composite number?
False
Suppose -2*l - 18 = 4*z - 6, l + z = -6. Let u be ((-6)/2 - -2)/(-1). Is 36 + l/(u - 3) a prime number?
False
Suppose 2*m + 2*m = 20, -3*i + 4*m + 4 = 0. Let n be (-1)/(-1) + 16 - 1. Is 396/n + 2/i prime?
False
Let f(i) = i**2 + 7*i - 1. Let s be f(-7). Let a(g) = -35*g + 2. Is a(s) composite?
False
Suppose -4*g + 2178 = f, -g - 1641 = -4*g + 3*f. Is g prime?
False
Let j = 0 - -5. Suppose 0*l - j*l = 40. Is 262/3*(-12)/l composite?
False
Suppose -4*a = 2*b - 2*a + 6, -2*a = 4. Is (47 + b)/(20/170) a prime number?
False
Let p(o) = o**3 - 7*o**2 + 6*o + 3. Let z(x) = 2*x + 2. Let g be z(2). Let l be p(g). Suppose h - l*f = 38, 2*f - 7*f = -3*h + 94. Is h prime?
True
Is 62/(((-4)/5)/(-2)) prime?
False
Let w = 149 - 70. Is w a composite number?
False
Let v(f) be the second derivative of f**5/20 - f**4/6 - f**3/2 - 7*f**2/2 - f. Let s(n) = -n**2 - 5*n - 1. Let j be s(-3). Is v(j) a composite number?
False
Let k(x) = x**3 + 4*x**2 - 5*x + 3. Let b be k(-5). Suppose -4*i = -i - b*p - 192, 0 = -5*i + 2*p + 329. Is i composite?
False
Suppose | {
"pile_set_name": "DM Mathematics"
} |
ing b is positive.
b**(-1532/3267)
Simplify ((j*j/(j*j**(-1/2)))**(-11)/((j/j**(2/5))/j)**(-46))/(j*(j/(j/j**(-6)))/j*j**3*(j**0/j)**20) assuming j is positive.
j**(-119/10)
Simplify (b*b*b**(-3)*b*b**(-9/2)*b**25*b**34)**16 assuming b is positive.
b**872
Simplify (((c*c**3/c)**(-18/13))**35)**(-4/21) assuming c is positive.
c**(360/13)
Simplify (((f/(f/f**(-9)))/f)/(f**(-10)*f*f))**(-5)*(f/(f**2/f)*f*f/f**(1/12))/((f*f**(-2/7))/f**7) assuming f is positive.
f**(1529/84)
Simplify (q**27)**(-28)*((q**20/q*q)/q)/(q*q/(q*(q*q/(q/q**(19/4)))/q)) assuming q is positive.
q**(-2933/4)
Simplify (((c**(-2/9)*c)/c)**28/((c*c**(-24)/c*c*c*c*c)/c*c**(6/11)*c))**(-11/4) assuming c is positive.
c**(-655/18)
Simplify ((g/(g*g**(-3/25)))/(((g*g**3*g)/g)/g))/(g**(-16)*g**23/g) assuming g is positive.
g**(-222/25)
Simplify ((z*z**(2/23)*z/(z/z**(-2/5))*z)/(z**(-1/4))**(2/7))/(z**(-3/4)/(z/z**(-3/11))*(z**(2/7))**36) assuming z is positive.
z**(-230393/35420)
Simplify ((q*q/(q/q**8))/(((q**(2/7)*q)/q)/q)*q**(-5/8)*q*q/q**5*q)**(1/6) assuming q is positive.
q**(397/336)
Simplify (((u/(u/(u/u**(1/3))*u))/u)**(2/37))**22*(u**(-1/15)/((u*u/(u/u**(-2/7)))/u))**(30/7) assuming u is positive.
u**(-3518/5439)
Simplify (x/(x/x**(-4)))/(((x*x**(-4/5))/x)/x)*x/x**(2/7)*x**(-5)/x*((((x*x**(-1/2))/x)/x)**(-6/5))**(-9/8) assuming x is positive.
x**(-2663/280)
Simplify (b**6/b**(-2))**(14/3)/((b**(-3)*b*b**5)/(b*(b*b**0/b)/b*b)**(1/6)) assuming b is positive.
b**(69/2)
Simplify ((f**21)**(-1/54)/(f**(-14)*f**(-22)/f))**(-20) assuming f is positive.
f**(-6590/9)
Simplify x*x**(-4)*x**1*(x**(-1)/x)**(-1/5)*(x/x**(-2/5))**16/(x**(-2/7)*x)**(-43) assuming x is positive.
x**(1803/35)
Simplify (w**(-2)*w*w*w**(-6)/w)**(5/2)/((w**0)**2/((w/((w*w**(-2))/w))/w)**(-40)) assuming w is positive.
w**(-195/2)
Simplify (x**3*x/x**6)**3/(((x**(5/4)*x)/x)/(x*x/x**(1/7)*x))**(-5/11) assuming x is positive.
x**(-2073/308)
Simplify (p*p*p/(p/(p/p**(-1/7))))/(p**(-5)/p)*(p/p**(-2)*p)/(p/((p/p**(-1/5))/p*p*p))*(p**(-1/6)/p**(-5))/(p**(-8)/p*p**(2/19)) assuming p is positive.
p**(112003/3990)
Simplify w*w*w**6*w*((((w**(-1/5)/w)/w)/w)/w*w)/w*(w**(-2/7))**(-28)*(w*w**(-2/3)*w*w*w**(-4))**(-11) assuming w is positive.
w**(467/15)
Simplify w**3/((w*w**(-1)*w)/w)*w*(w**(-3/4)*w)/w*w**8*(w**2*w)**(-4)*(w**(-2))**40 assuming w is positive.
w**(-323/4)
Simplify (((g**(-7/6)/(g/g**15))**(1/4))**(2/163))**(-39) assuming g is positive.
g**(-1001/652)
Simplify (a/(a**(2/11)/a*a*a)*a**(-3))**15*((a/a**(-1/4))**(-1/52))**(-2/17) assuming a is positive.
a**(-928145/19448)
Simplify (y**(5/2)*y*y*((y**(22/9)/y)/y*y)/y)/(y**26*y*y)**11 assuming y is positive.
y**(-5455/18)
Simplify ((d/d**1*d**(1/8))/(d*d**(-4/3)*d*d**3))/(d/(d/d**(1/2))*d**(3/2))**31 assuming d is positive.
d**(-1573/24)
Simplify (((((x**8*x)/x*x)/((x**14/x)/x))/(x**3*x**(1/6)*x))**(-17/6))**48 assuming x is positive.
x**(2924/3)
Simplify (g**(-1)*g)/g*g**(-5/3)*(g/g**(2/5))**34*g**(1/3)*g*g**(2/17)/g*g**(1/2)/(g*g/g**(-3)*g*g) assuming g is positive.
g**(5959/510)
Simplify ((s**0*s)/(s**(2/11)*s))**(-43)/((s**4/(s*s**(-3)*s))/(s*s**(3/7)*s*s/s**(3/2))) assuming s is positive.
s**(731/154)
Simplify ((j**(-12)/(j*j/(j/j**11*j*j)))/((j**(3/16)/j)/j**(-5)))**(-4/9) assuming j is positive.
j**(419/36)
Simplify (w**(-3)/(w/(w*w*w**(1/4)*w)*w*w))**(1/6)/(((w**1*w)/(w/w**(-3)))/((w*w*w/w**(-1/3))/w*w/((w**(-1)*w)/w))) assuming w is positive.
w**(47/8)
Simplify ((j/(j/(((j/(((j*j**20)/j*j)/j*j*j))/j)/j)))**(-28)*(j/((j*j**(-7)*j*j*j)/j))/j*j*j/j**(-12/7))**(-1/10) assuming j is positive.
j**(-2281/35)
Simplify (((n*n**(2/17))/n*n)/n**(1/3))/(n/n**(-2)*n/(n/(n**(2/9)/n))*n*n)*(n**(4/3)/(n/n**(-1/2)))/(n**(-2)*n/(n**4*n)) assuming n is positive.
n**(733/306)
Simplify ((((j*(j/(j*j/(j*j*(j/((j/((j*j/(j*((j*((j*j**(-4/11))/j)/j)/j)/j)*j)/j))/j))/j)))/j*j)/(j*j**(-6)/j))**47)**(7/3))**(-40) assuming j is positive.
j**(-1645000/33)
Simplify (h/(h**(2/29)*h)*h*h*(h*h**(-3/10))/h)/(h**(-2/27)/h**(2/21)) assuming h is positive.
h**(98677/54810)
Simplify (k*k/k**(2/15)*k**(2/3))**(-20)*(k*k**(1/12)*k*k**(1/5)*k*k)**50 assuming k is positive.
k**(327/2)
Simplify ((n*n/((n/n**(-17))/n))**(-5/3)/(n*(n**(3/26)*n)/n*n**(6/11)/n))**(41/3) assuming n is positive.
n**(285401/858)
Simplify ((a*a*a**(-4/9)*a)/a*a*a/(a*(a*a/((a**(1/5)*a)/a))/a)*a**11/(a*a**(-6)))**29 assuming a is positive.
a**(23171/45)
Simplify (y**(1/4)/(y*y*((y/y**(-3))/y)/y))/((y**(-2)/y)/y*y*y*y**(1/5))*((y*y/(y*y**(2/17)/y)*y)/y**(3/2))**(1/4) assuming y is positive.
y**(-1091/680)
Simplify (z**0*z)/(z**0*z)*z**(-7)*z**4*z*((z*z**(-1/5))/(z**4/z))**3 assuming z is positive.
z**(-43/5)
Simplify ((y**(-1/3)*y*y**(4/5))/((y/(y/(y/(y*y**5)*y)))/y**2))/((y**(2/5)*y)**(-1/31))**(-1/11) assuming y is positive.
y**(38171/5115)
Simplify (z**2/z**(-2/3))**(-26)/(z*z/((z*z**3)/z)*(z**(4/9)*z)/z*((z*z**(-2/7))/z)/(z/z**6)) assuming z is positive.
z**(-4630/63)
Simplify (u**(-6/11)/(u*u**1)*u**8/u**(-2))/((u**(2/15)/(u**(5/4)*u))/(u**8/u**(-4))) assuming u is positive.
u**(14237/660)
Simplify ((((x/x**1)/(x/(x/x**(-3/2))*x))/((x**(-1)/x)/(x*x*(x/x**(4/7))/x)))**(-42))**1 assuming x is positive.
x**(-165)
Simplify ((w**(-7)*w*w**(-1/7))/(w*w*w**(3/2))**(1/37))**(23/4) assuming w is positive.
w**(-74313/2072)
Simplify (o*o/(o*o/(o/o**11))*o**(-1/2))**(12/7)*o**6*(o/((o*o**9/o)/o))/o*(o*o**(2/11))**12 assuming o is positive.
o**(-64/11)
Simplify ((w**(-8)/w**6)/((w**1*w)/w)**(-4/15))/((((w/(w**(6/5)*w))/w)/w**(-3))/(w/(w*w**(-2/3)))**(-44)) assuming w is positive.
w**(-658/15)
Simplify (((q*q**9/q*q)/q**(8/9))/(q**(-3/5)*q)**(-11))**(-2/13) assuming q is positive.
q**(-1216/585)
Simplify (g**(5/7))**16/(g/(g**(-2)/g)*g**(6/5)*g) assuming g is positive.
g**(183/35)
Simplify ((a**(-35)*a)/a**(-30)*a*a*a**(-7/3)*a/a**(-4/5)*a*a)**(-1/15) assuming a is positive.
a**(8/225)
Simplify (((((c/(c*c/c**(-20)))/c)/c**15)**21)**(-40))**39 assuming c is positive.
c**1212120
Simplify (((c/(c/(c*c/c**(-4))))/(c/(c**(-2/17)/c)*c)*(c**(1/6)*c*c)**(-7/9))**(1/22))**(-1) assuming c is positive.
c**(-1099/20196)
Simplify ((x*x**(-2/3))/(x*x**(-2/3)*x))/((x/x**(-4))/x**(-1/10))*(x*x**0*x*x**(-1/2)*x)**38 assuming x is positive.
x**(889/10)
Simplify (c*c*c**(1/4)*c)**(-1/9)*c**(4/9)/c**(2/11)*(c**(-1/6)/(c*c/c**(1/2)))/((c*c**(-2/19)/c)/c**(2/9)) assuming c is positive.
c**(-10817/7524)
Simplify (j/j**39)/(j/j**(-1))*(j/(j**(-18)*j))/j**(23/4) assuming j is positive.
j**(-111/4)
Simplify ((c**22*c)/(c**8*c)*(c*c**19/c*c)**(2/3))**(1/12) assuming c is positive.
c**(41/18)
Simplify ((u/(u**(-5/2)*u)*u**10)/(u**8/u)**43)**(-25/3) assuming u is positive.
u**(14425/6)
Simplify (t**(4/9)*t*t*t**16*t*(t**(4/9))**(-23))**(7/6) assuming t is positive.
t**(581/54)
Simplify (w**(1/2)/(w/(w*(w*w**(-2/3))/w)))/(w**1/w)**(-15/8)*w/w**(-1/3)*w**4*w*(w**(-1))**33 assuming w is positive.
w**(-161/6)
Simplify (b*b*b**(-4)*b**(-6/7)*b)**(-3/41)*((b*b**3)/b**(3/8))/(b**(-1/2))**35 assuming b is positive.
b**(48815/2296)
Simplify (((o/(o*o**16))/(o*o/(o*o/o**(2/5))))/(o**(8/9)/o**(-18)))**(-1/11) assuming o is positive.
o**(1588/495)
Simplify ((l**(-36)/l**(-4/17))/((l**(-2/7)/l)/l)**(-11/4))**(-2/9) assuming l is positive.
l**(1112/119)
Simplify ((l**(-2/15)/((l*l**(1/3))/l)*(l*l*l/(((l**(-2)*l)/l)/l)*l)/((l/((l/l**(-1/7))/l))/l))**(-42))**(-4/5) assuming l is positive.
l**(5608/25)
Simplify ((h/(h*h**(2/5))*h*h)**(7/11)*h**(-2/5)*h**0)/((h**(1/4))**9/((h**6/h)/h**(-2/3))) assuming h is positive.
h**(2663/660)
Simplify (i/(i/(i*i**6*i*i))*i*i**(3/2)*i**(-1/10)*i**(2/3))/(i**(-8)/(i**6*i)*i**3/i**(-7/3)) assuming i is positive.
i**(326/15)
Simplify (p**(-10)/(p/(p*p**(-4))))**24/((p*p**(-1/3)*p)**(-17))**(-47) assuming p is positive.
p**(-5003/3)
Simplify (m*m**(-3/7)*m/(m/m**13))/(m**(-31)/m*m**(-37)) assuming m is positive.
m**(578/7)
Simplify ((v**(1/9))**39*v**(-10)/(v/v**6))**(36/11) assuming v is positive.
v**(-24/11)
Simplify (((b/b**6*b**3)**(-1/3))**(-27))**3 assuming b is positive.
b**(-54)
Simplify (w/(w*w/w**(-10)))**49/(((w**(2/77)*w)/w*w)/w)**(-44) assuming w is positive.
w**(-3765/7)
Simplify (((j**(1/3)/j*j)/j)**40/(((((j/j**(1/7))/j)/j)/j)/j**(-1/2)))/((j/j**0)**(-27))**44 assuming j is positive.
j**(48845/42)
Simplify (p*p*p/p**(12/13))/p | {
"pile_set_name": "DM Mathematics"
} |
sqrt(130))*-4 + sqrt(130))/sqrt(10) + (-1 + sqrt(117) - (sqrt(13) + 1 + 2 + sqrt(13))).
-6*sqrt(13) - 4
Simplify (sqrt(78) - 1*-1*sqrt(78))/(sqrt(6) - sqrt(378)/sqrt(7)).
-sqrt(13)
Simplify ((sqrt(252) - (1 + sqrt(252) + -1))*4 + -2)**2.
4
Simplify (5*(sqrt(1800)*-2 + sqrt(18)))/(sqrt(324) + sqrt(324) + 1*(2*sqrt(324) - sqrt(324) - sqrt(324))) + -2.
-95*sqrt(2)/12 - 2
Simplify 1*(sqrt(931) + (sqrt(931) + -3)*2 + sqrt(931) + (1*(sqrt(19) + (-2 + sqrt(19) - sqrt(19))) - sqrt(19) - 6*(0 + sqrt(19))))**2.
-352*sqrt(19) + 9260
Simplify -4*((-3*(sqrt(891) + -1) + 5 + sqrt(891) + sqrt(891) + 1*sqrt(891) + sqrt(891))**2 + (sqrt(891) - (1 + (1 + sqrt(891) - sqrt(891) - sqrt(891))**2))*5).
-1116*sqrt(11) + 14040
Simplify (sqrt(4235) + sqrt(4235)*-1)/((sqrt(60) - (sqrt(1500) + sqrt(60)) - sqrt(60))/sqrt(12)) + 1.
1
Simplify 5*(sqrt(3)*-2 + 2 + ((sqrt(12)/sqrt(4) - sqrt(3)) + sqrt(3))*-6)*5.
-200*sqrt(3) + 50
Simplify -6*((1*sqrt(99) + -2)**2 + -4*(sqrt(11) - (-2*(sqrt(44) - sqrt(11) - sqrt(11)))**2)).
-618 + 96*sqrt(11)
Simplify (((sqrt(17)*-4 + -1)*-6 + (-2 + sqrt(17) + -3)*5)*-5)**2.
-27550*sqrt(17) + 366450
Simplify 0 + ((sqrt(45) - -2*sqrt(2880))/(sqrt(63)/(sqrt(7)*-2 - sqrt(7)) - sqrt(9)) + -5)**2.
255*sqrt(5)/2 + 13405/16
Simplify (((sqrt(130) - (sqrt(130) + sqrt(130)*-1 + sqrt(130)))*1 - sqrt(130))*-4)/((sqrt(250)*2 + sqrt(250) + sqrt(250) - sqrt(250))*2).
2*sqrt(13)/15
Simplify 3*(-4 + sqrt(720) + 2 - sqrt(720)) + 5 + 1.
0
Simplify (-2*sqrt(104)*-4 - ((2*sqrt(104) - sqrt(104) - sqrt(104))*2 + sqrt(104)))/(2*sqrt(8)*1 + sqrt(8) - (sqrt(800) - -2*sqrt(800))).
-7*sqrt(13)/27
Simplify 6*(sqrt(150)/(sqrt(30)/sqrt(3)))/(sqrt(3) - -3*sqrt(3)*4 - sqrt(3)).
sqrt(5)/2
Simplify 6*(-3 + 6*(5*sqrt(91)*1)/sqrt(7)).
-18 + 180*sqrt(13)
Simplify (0 + sqrt(171))*-2 - (sqrt(133)/(-2*((sqrt(112) - sqrt(7)) + sqrt(7))))**2.
-6*sqrt(19) - 19/64
Simplify (sqrt(24) - (sqrt(24) + -4*sqrt(864) + sqrt(864)))/(-5*sqrt(48)).
-9*sqrt(2)/5
Simplify -3 + (1*sqrt(7) + -1 - (2 + sqrt(567))).
-8*sqrt(7) - 6
Simplify (-5*-2*sqrt(119))/(sqrt(175)*2).
sqrt(17)
Simplify -2*(0 + sqrt(1872)) - (sqrt(1872) + 0)**2*-5.
-24*sqrt(13) + 9360
Simplify (-4*((sqrt(242) + -1)*3 - sqrt(242)) - -2*6*(sqrt(242) - (sqrt(242) + -1)))**2.
-4224*sqrt(2) + 16064
Simplify (sqrt(152)/((-3*sqrt(96) + sqrt(96))/sqrt(12)))**2 - ((1*sqrt(38))/sqrt(2) - (sqrt(475) - (sqrt(475) - sqrt(475)*-2)**2)).
-17081/4 + 4*sqrt(19)
Simplify (3 + sqrt(684)*2 + sqrt(684) + sqrt(684) - (0 + 0 + sqrt(76))**2)*6.
-438 + 144*sqrt(19)
Simplify (sqrt(20) + 2 + -2 + sqrt(25)/(6*sqrt(15)/sqrt(3) + sqrt(5)))**2.
1125/49
Simplify (sqrt(405) + 1 + 1 + sqrt(405) + sqrt(405) + (sqrt(405) + 2 - sqrt(405)) + -4)**2.
3645
Simplify (-3*(-4 + sqrt(425)) - (-3 + (2 + sqrt(425) - sqrt(425)) - sqrt(425)))**2.
-260*sqrt(17) + 1869
Simplify ((5 + 4 + (sqrt(11)*-1 + -2 - (sqrt(11) + sqrt(33)/sqrt(3))*2)*-5)*4)**2.
15200*sqrt(11) + 115776
Simplify (-1*(0 + -1 + sqrt(275) + (sqrt(275) + (sqrt(275) + 2 - sqrt(275)))*-1))**2.
9
Simplify ((sqrt(720) + 1 + sqrt(720) + 1 - (sqrt(720) + 0 + -5 - sqrt(720)))*-3)**2.
3024*sqrt(5) + 26361
Simplify (((sqrt(147)*2 - sqrt(147)) + 1 - sqrt(147))*-4*-4)**2.
256
Simplify (sqrt(18) + -3 + sqrt(162)/sqrt(9) + sqrt(18) - (-1 + sqrt(648))) + 0.
-9*sqrt(2) - 2
Simplify (sqrt(294)/sqrt(7))/sqrt(6) + -3 + (sqrt(7) - ((sqrt(7) - sqrt(28)/sqrt(4)) + -2 + sqrt(7)) - (sqrt(112) - sqrt(7))**2*-5).
sqrt(7) + 314
Simplify (6*sqrt(720)*1 + sqrt(15)/(sqrt(9)/sqrt(3)) + sqrt(5) + -1 + -4)**2.
-740*sqrt(5) + 27405
Simplify ((sqrt(1088) - (2 + -4*sqrt(1088) - sqrt(1088))) + -1 + (sqrt(1088)*-2 + sqrt(1088) + 1 - (-2 + -1 + sqrt(1088) + sqrt(1088))))**2.
48*sqrt(17) + 9793
Simplify (3*(2*sqrt(125) + -4) + -3 + 2)**2.
-780*sqrt(5) + 4669
Simplify (4 + (-1 + 2*sqrt(500) + 1)**2)*1.
2004
Simplify (-2*sqrt(5) + -4)*6 - sqrt(55)/((sqrt(44)*1)/sqrt(4)).
-13*sqrt(5) - 24
Simplify (-2 + (((sqrt(3)*-3 - sqrt(3)) + -4)**2 - (sqrt(192) + 4)**2))*4.
-584 - 128*sqrt(3)
Simplify (-6*1*sqrt(133) + sqrt(133) - (sqrt(133) - sqrt(133)*1)*2)/((sqrt(1008) + sqrt(1008)*1)*-2).
5*sqrt(19)/48
Simplify (sqrt(2) - (sqrt(50)/sqrt(5))/sqrt(5))**2 + (sqrt(98)*3)**2 + (-6*((sqrt(216) - sqrt(216)*2) + sqrt(216)))/sqrt(12).
882
Simplify (sqrt(104) + (sqrt(104) - sqrt(104)*2*2) + sqrt(104) - 1*sqrt(104)*-3)/(-3*-3*sqrt(72)).
2*sqrt(13)/27
Simplify ((4 + (sqrt(847) + 1 - sqrt(847)))*3 + 2 + 2)**2.
361
Simplify ((sqrt(704) + 1)*3)**2 - 6*sqrt(11)*1*6.
108*sqrt(11) + 6345
Simplify (3*(sqrt(170) + (sqrt(170) - sqrt(170)*3))*-4)/(1*-1*sqrt(490)).
-12*sqrt(17)/7
Simplify ((1 + -1 + -6*1*sqrt(425) + -2)*6)**2.
4320*sqrt(17) + 550944
Simplify -5 + 5*(5*(sqrt(99) + -3*sqrt(99)) + sqrt(99))/(-1*sqrt(1089)).
-5 + 45*sqrt(11)/11
Simplify 4 + ((1 + 4*-1*(-3*sqrt(1331) + sqrt(1331)))*-2)**2.
704*sqrt(11) + 340744
Simplify (6*(-1 + (sqrt(2057) - sqrt(2057)*-2)*-3) + -1)**2.
8316*sqrt(17) + 5998261
Simplify (sqrt(110)*1*-4 + sqrt(110) + 2*(sqrt(110) + -2*sqrt(110) + sqrt(110) + sqrt(110)))/(-3*sqrt(60)/sqrt(6)*-6).
-sqrt(11)/18
Simplify -4 + (-4*sqrt(64)*-2)/(sqrt(648)*-1*6).
-4 - 8*sqrt(2)/27
Simplify 5 + (sqrt(75) + -3 + 1*sqrt(75) - ((sqrt(75) - (sqrt(75) + 0 + -2)) + sqrt(75)))**2 + 4.
-50*sqrt(3) + 109
Simplify (((sqrt(833) - (sqrt(833) + 3))*5 - -3*(sqrt(833) + 2)) + 0)**2.
-378*sqrt(17) + 7578
Simplify (5 + -3*(sqrt(76) + 1) + sqrt(76))**2 + (-3 + 2*sqrt(19) + sqrt(19) - (-2 + sqrt(76)/sqrt(4)))**2*-5.
-77 + 4*sqrt(19)
Simplify ((sqrt(343) - (sqrt(343) + sqrt(343)*1)*-2) + 3 + sqrt(343) + -3)**2.
12348
Simplify 0 + (-5*(2 + sqrt(1300)))**2 + 1.
1000*sqrt(13) + 32601
Simplify (-4*(-1 + -1 + sqrt(833) - sqrt(833) - (sqrt(833) + sqrt(833) + 0)*-4)*3)**2.
-32256*sqrt(17) + 7677504
Simplify (-4 + (-2*sqrt(48) - sqrt(48)) + -3 + sqrt(384)/(sqrt(896)/sqrt(7)))**2.
154*sqrt(3) + 412
Simplify -2 + (2*sqrt(490)/sqrt(10))/(sqrt(448) + sqrt(448)*-3 + sqrt(448) + sqrt(448) + sqrt(448) + sqrt(7)).
-2 + 2*sqrt(7)/9
Simplify (sqrt(104) + 1*-2*sqrt(104) - sqrt(104)*2*6)/(-4*(sqrt(1152) - (sqrt(1152)*2 + sqrt(1152) + sqrt(1152) - sqrt(1152)))).
-13*sqrt(13)/96
Simplify (sqrt(1584) + 1)*2 + -5 + -3*sqrt(1100).
-6*sqrt(11) - 3
Simplify (sqrt(14) + (sqrt(350) + (sqrt(350) - 2*sqrt(350) - sqrt(350)) - sqrt(350)) + sqrt(2016)*2)/(-6*-1*sqrt(448) + sqrt(448)) + 3.
15*sqrt(2)/56 + 3
Simplify ((2 + sqrt(2057))*1 - (-4 + -1 + sqrt(2057)))**2.
49
Simplify 3*(-1 + sqrt(432) + -1 - ((sqrt(363) - (1 + sqrt(363))) + sqrt(363))*-3)**2.
-1350*sqrt(3) + 18300
Simplify -5 + ((-6*1*sqrt(300))**2 - ((-4 + sqrt(300) + -1)**2 - sqrt(300) - sqrt(300))).
120*sqrt(3) + 10470
Simplify sqrt(684) + -2 + (sqrt(684)*-2)**2 - ((sqrt(1539) + 2)**2 + 0).
-30*sqrt(19) + 1191
Simplify ((1*sqrt(304) - sqrt(304)) + 3 - sqrt(304) - ((sqrt(304) - (sqrt(304) + -1)) + 4))**2 + 3.
16*sqrt(19) + 311
Simplify 5*(5 + (-6*-6*(sqrt(1377) + 1))**2).
116640*sqrt(17) + 8929465
Simplify 5*(sqrt(125) + (-1 + sqrt(125) - sqrt(125))*-6 - (sqrt(125) + 2*(sqrt(125) + -3)))**2.
-1200*sqrt(5) + 3220
Simplify (-4*(-2 + -3*((sqrt(25)/(sqrt(15)/sqrt(3)) - sqrt(5)) + (sqrt(605) - sqrt(605)*-1 - sqrt(605)))))**2.
2112*sqrt(5) + 87184
Simplify 0 + (((6*2*sqrt(104) + sqrt(104) - sqrt(104))*2)/((sqrt(288) - (sqrt(288) - sqrt(288)*1*3 - sqrt(288))) + sqrt(288)))**2.
208/25
Simplify 6*((sqrt(605) - (-5 + 0 + sqrt(605)) - (-2 + sqrt(605) + 1))**2 - (1 + sqrt(605)*2 + (sqrt(605) + 1)*6)**2).
-228768 - 8184*sqrt(5)
Simplify ((sqrt(288) - (4 + -1*sqrt(288))) + sqrt(288) + sqrt(288) - -4*sqrt(288)*1 - 6*(-1 + (sqrt(288) - (1 + sqrt(288)))))**2.
1536*sqrt(2) + 18496
Simplify -3*(-5*((-6*(sqrt(5)*1 + sqrt(5)) + sqrt(5))**2 - (sqrt(15)/sqrt(3) + 2)) + -4).
-15*sqrt(5) + 9057
Simplify 0 + (sqrt(396) - 4*sqrt(396))**2 + (sqrt(44) + -2)**2.
-8*sqrt(11) + 3612
Simplify (sqrt(198)/sqrt(144)*4)/(sqrt(176) + (sqrt(176) - (sqrt(176) + sqrt(176)*2*-4)) - sqrt(176)).
sqrt(2)/32
Simplify (sqrt(2299) + -2*sqrt(2299))**2*3*6 - (sqrt(380)/((sqrt(10) - sqrt(10)*-2) + sqrt(10)))/(sqrt(16)/(1*sqrt(8))).
-sqrt(19)/4 + 41382
Simplify -3*(1 + (-2*(sqrt(55)/(sqrt(25)/sqrt(5)) + sqrt(55)/sqrt(5) + 3 + sqrt(11)))**2).
-1299 - 216*sqrt(11)
Simplify -1*(sqrt(1584) - (sqrt(1584) - (sqrt(1584) + -2 - sqrt(1584))))**2*1 + 3.
-1
Simplify (sqrt(13) - sqrt(52)) + 2 + (sqrt(156)/sqrt(3))**2 | {
"pile_set_name": "DM Mathematics"
} |
*l - 1911 - 5801 - 118 = 98*l for l.
87
Solve -1281*o - 488*o = 1239*o - 670*o - 156646 for o.
67
Solve -45*j + 107*j = 60*j + 59*j + 3876 for j.
-68
Solve -969*x - 13328 = -1933*x + 1160*x for x.
-68
Solve 785*f + 1058 = 739*f for f.
-23
Solve -411 = -9769*f + 9806*f + 255 for f.
-18
Solve 764*h - 489 = 666*h - 3233 for h.
-28
Solve 5225079*u - 5225037*u + 1386 = 0 for u.
-33
Solve 1839 = -105*u - 926 - 1120 for u.
-37
Solve -3169*r - 27400 = -85414 - 52901 for r.
35
Solve 1283*g + 53864 + 2604 = 2474 - 31967 for g.
-67
Solve 367*v + 254332 = 798*v - 4227*v for v.
-67
Solve -2066*l = 2062*l - 4132*l - 88 for l.
-22
Solve -31491 = 1534*c + 6859 for c.
-25
Solve 105*r + 8*r + 1695 - 1388 + 2066 = 0 for r.
-21
Solve -366393 + 364281 = -48*z for z.
44
Solve 1320*y - 132756 = -111636 for y.
16
Solve 1073*r + 140585 = 142*r - 3604*r for r.
-31
Solve 2792*j - 96084 = -2860*j for j.
17
Solve 0 = 26259*g - 26238*g + 1239 for g.
-59
Solve 67013*w = 67526*w + 17442 for w.
-34
Solve 36026*v - 18194*v - 18031*v - 12452 + 33148 = 0 for v.
104
Solve -3429*q = -1036*q - 45467 for q.
19
Solve 0 = 60685*p - 54606*p - 133738 for p.
22
Solve 244*d - 118 = -235*d + 361*d for d.
1
Solve 17990 - 26309 = -1143*y + 28257 for y.
32
Solve -626*d - 232487 = -12814*d + 1022877 for d.
103
Solve -514*t - 802*t + 150740 = 395*t + 398835 for t.
-145
Solve 3*y + 11637 + 6094 = -258*y - 2627 for y.
-78
Solve 4391*l + 1661*l + 126664 = -121468 for l.
-41
Solve 0 = -255*v - 292438 + 284278 for v.
-32
Solve -275851*s = -275836*s + 765 for s.
-51
Solve 0 = 1140*m - 86735 + 114095 for m.
-24
Solve -124*f - 16786 = 166*f - 72*f for f.
-77
Solve -11939*r = -11417*r - 18270 for r.
35
Solve 8944 = -14994*h + 14822*h for h.
-52
Solve 878*b = -397*b - 10229 - 12721 for b.
-18
Solve -589*l - 7586 + 7599 + 31204 = 0 for l.
53
Solve -941*w + 820*w = 3507 + 365 for w.
-32
Solve 0 = 1888486*q - 1887700*q - 54234 for q.
69
Solve -114210 + 10470 = 3705*k for k.
-28
Solve -103*t = 805649 - 800911 for t.
-46
Solve -333*g - 900 = 624 + 6468 for g.
-24
Solve -246*r + 3669 + 639 = 1602 for r.
11
Solve -4219*y + 30599 - 132339 = 164057 for y.
-63
Solve -24883 = 607*q - 5296 + 19261 for q.
-64
Solve -198*n - 1560 = 664*n - 21386 for n.
23
Solve 15*m + 32 - 27 = -79*m + 99 for m.
1
Solve 199*x + 288*x = -1907*x + 4788 for x.
2
Solve -48*b - 10893294 + 10895310 = 0 for b.
42
Solve -164*o - 967*o + 187*o = 1365*o + 191647 for o.
-83
Solve -486*h + 9270 + 7433 = -2737 for h.
40
Solve -963879 = 113*n - 955630 for n.
-73
Solve 4514*w + 724*w = 15714 for w.
3
Solve -1522*i + 2033 = -1629*i - 3103 for i.
-48
Solve 9943 = 5264*z - 156706 - 143927 for z.
59
Solve -1041*v + 17313 = -842*v for v.
87
Solve -68446 = 74*t - 64154 for t.
-58
Solve 2488*g + 1873 = 951*g + 1191*g - 203 for g.
-6
Solve 0 = 5*s - 47 - 66 + 93 for s.
4
Solve 78*t - 5660 = -4724 for t.
12
Solve 89*j + 2064*j = 25131 + 67448 for j.
43
Solve 34339 - 5043 = 1364*r - 19808 for r.
36
Solve -1672*u - 1744*u + 188*u = 7864 + 5048 for u.
-4
Solve 6320 = 7815*y + 7699*y - 15830*y for y.
-20
Solve 285*j + 227*j + 574*j + 28236 = 0 for j.
-26
Solve -13776*r + 11901*r + 7927 = 2302 for r.
3
Solve -22*h + 129*h + 136*h = 667 + 62 for h.
3
Solve -21*x + 484 = 37*x - 792 for x.
22
Solve 6854*q = 6855*q - 5 + 7 for q.
-2
Solve 11*l - 15340 = -14790 for l.
50
Solve 0 = -2739*h + 917*h - 3617*h - 560217 for h.
-103
Solve -1277*d + 11320 = -33024 - 7580 - 2987 for d.
43
Solve 68*z + 1174 = z - 18 + 53 for z.
-17
Solve 2305669*b + 220 = 2305658*b for b.
-20
Solve -551*d = -31*d + 116*d - 20605 + 4705 for d.
25
Solve 0 = 2441*d - 2587*d - 5110 for d.
-35
Solve -140*b - 221*b = 349*b - 134*b - 28224 for b.
49
Solve 45629 = 604*g + 14221 for g.
52
Solve 141*x + 381 = -888 for x.
-9
Solve 232*i + 202*i - 14656 = 110*i - 134*i for i.
32
Solve -1788*m = -1740*m - 1264 + 304 for m.
20
Solve -10883 = 564*v + 6601 for v.
-31
Solve -1561*p - 641246 = -747394 for p.
68
Solve -45676*i + 91469*i - 45708*i + 6035 = 0 for i.
-71
Solve -2399 = -44532*w + 44426*w + 2159 for w.
43
Solve 14158*v = 14137*v - 273 for v.
-13
Solve 5712 = -20*j - 69*j - 13*j for j.
-56
Solve -7838*k + 213225 - 414796 = 621419 for k.
-105
Solve -448*p + 249*p = 328 + 3851 for p.
-21
Solve 5643*v = 11306*v - 5625*v - 456 for v.
12
Solve -674498 = 18571*n - 10728*n for n.
-86
Solve 0 = 52*v + 68227 - 67395 for v.
-16
Solve -2861*o = -3357*o + 6944 for o.
14
Solve -85*n - 1383 - 336 = 28*n + 654 for n.
-21
Solve 1647*n = 899*n + 76296 for n.
102
Solve -595351*l + 111370 = -594056*l for l.
86
Solve -67 + 30 + 31 = -30*u - 36 for u.
-1
Solve 17628 = 48*v + 131*v - 23*v for v.
113
Solve 45*n - 507 + 1176 + 298 + 968 = 0 for n.
-43
Solve 774 = -83*n - 6447 for n.
-87
Solve 2661*a + 45933 - 6445 + 5749 = 0 for a.
-17
Solve 429*y - 200*y + 36608 = -475*y for y.
-52
Solve 128*o - 216 = -6*o + 186 for o.
3
Solve 55*a + 3248 = -57*a + 4*a + 166*a for a.
56
Solve -198589 - 54388 = -1884*o + 8003*o + 120282 for o.
-61
Solve 0 = -4090*d - 24744 - 32516 for d.
-14
Solve 425*w + 1306*w - 119391 = -610*w for w.
51
Solve -8*n = 59*n + 26*n + 4304 + 1741 for n.
-65
Solve 0 = 371*z - 7850 - 4037 - 2211 for z.
38
Solve 431*u + 29864 = -146*u - 28404 + 10954 for u.
-82
Solve -27401 = 2345*j - 1828*j for j.
-53
Solve 354*j - 40*j - 4*j + 1786 = -4414 for j.
-20
Solve -2*w + 7004 - 6734 = 3*w for w.
54
Solve 1004*q - 310 = 2037*q - 1002*q for q.
-10
Solve 570633*i = 570688*i + 2695 for i.
-49
Solve -90*v + 473*v = -4468*v - 119105 - 7021 for v.
-26
Solve 16*v - 1196 = 4*v + v - 15*v for v.
46
Solve 622*c - 435*c + 722 + 2078 = 327*c for c.
20
Solve 118*r - 238*r - 993 = 447 for r.
-12
Solve -4655 = -2838566*l + 2838661*l for l.
-49
Solve -13249 = 1200*o + 67151 for o.
-67
Solve -28*b + 3419 + 2314 = -88*b - 87*b for b.
-39
Solve -20*u = -268*u + 21134 + 2426 for u.
95
Solve 1102*x = 1857*x - 7661*x - 234804 for x.
-34
Solve 0 = 714*s - 72163 - 51983 + 40608 for s.
117
Solve -804*a + 8285 = 3112 - 26987 for a.
40
Solve -109478 = 4072*f - 386374 for f.
68
Solve 200*l + 343*l + 44240 = 211*l - 228*l for l.
-79
Solve 0 = 1942*v - 5464*v + 4668 + 18962 + 18634 for v.
12
Solve 0 = 6694*m - 6656*m - 532 for m.
14
Solve 421*i - 11796 - 7311 + 7114 - 5268 = 0 for i.
41
Solve -4940 = 750*a - 1738*a for a.
5
Solve 495 = -520894*j + 520883*j for j.
-45
Solve -233*s + 1535 = -36*s - 41 for s.
8
Solve 8475 = 14*a + 157*a - 781 + 1219 for a.
47
Solve -4355 = -44*o + 1775 - 3006 for o.
71
Solve 3422 + 6498 = -410*d - 6070 for d.
-39
Solve 1906327*g - 1906294*g = -1555 + 3964 for g.
73
Solve -873*p = 3079 + 475 - 62 for p.
-4
Solve 141*l - 9396 + 3333 = 0 for l.
43
Solve -89032 = 2179*p + 165911 for p.
-117
Solve 1104*i + 116251 = 32347 for i.
-76
Solve -136*p - 706 - 23 - 769 - 2038 = 0 for p.
-26
Solve 628*k - 5348*k - 299219 + 60917 = -307*k for k.
-54
Solve -269*a - 255664 = -862*a - 2771*a for a.
76
Solve 387*g + 6563 = -4991 - 3926 for g.
-40
Solve -47*g - 266*g - 484*g - 5926 = 29142 for g.
-44
Solve 694 = -41*w - 205 - 331 for w.
-30
Solve 290*x + 139*x + 1578 = -1425 for x.
-7
Solve 70*j + 265*j + 9135 = -274*j for j.
-15
Solve -65856*m + 65790*m = 660 for m.
-10
Solve 59*c = -139*c - 288*c - 383*c - 6083 for c.
-7
Solve -2359*c + 2802*c + 278460 = -3977*c for c.
-63
Solve 190*m = -9764 + 834 for m.
-47
Solve -78*h = 154605 - 152421 for h.
-28
Solve 2137*s + 1956*s = 3476*s + 617 for s.
1
Solve -4419 + 4942 = 360*k + 11323 for k.
-30
Solve -390*b = 216*b - 11514 for b.
19
Solve 19*h - 631 = -56*h + 21*h + 17 for h.
12
Solve 1678*t - 3538*t = 2455*t + 11736 + 9839 for t.
-5
Solve 0 = 78616*f - 78932*f + 5056 for f.
16
Solve 306314*i - 1890 = 306279*i for i.
54
Solve -157800 = 12086*a - 14716*a for a.
60
Solve 24662 + 13608 = 334*t + 194 for t.
114
Solve -1550*x + 5737*x - 212640 - 75034 + 90885 = 0 for x.
47
Solve -7487790*q = -7487794*q - 48 for q.
-12
Solve -2644*s - 1970*s = 32288 + 169439 - 44851 for s.
-34
Solve 21*s - 41*s - 15*s = 1470 for s.
-42
Solve -16*v + 1876 = 105*v + 424 for v.
12
Solve 0 = 1105*l + 431 + 8641 + 30708 for l.
-36
Solve 5885*o - 8422*o = 126850 for o.
-50
Solve 6335*t - 6642*t = 26709 for t.
-87
Solve -2*t = -18*t + 269 - 1149 for t.
-55
Solve -1013*h + 4166*h - 60629 - 141163 = 0 for h.
64
Solve 2 | {
"pile_set_name": "DM Mathematics"
} |
2 + -3). Is 7 a factor of (-3)/(-1)*(-9)/v?
False
Let n(b) = 24*b**2 + 2*b + 2. Is 8 a factor of n(-1)?
True
Let c be 0/(-3) + 2 - 7. Let y be (2 + c/2)*-8. Suppose -y = -o + 1. Is 5 a factor of o?
True
Suppose 6*x = 17*x - 1584. Does 10 divide x?
False
Suppose -7 + 2 = -5*q. Is (q - (-4)/(-2)) + 55 a multiple of 12?
False
Let c = 18 + 32. Does 3 divide c?
False
Let t be 2/(-9) + 8344/126. Suppose -r + 2 = -1. Suppose -t = -r*y - 0. Is y a multiple of 11?
True
Suppose 97 + 287 = 4*x. Is x a multiple of 8?
True
Let y(h) be the third derivative of h**6/120 - h**5/60 - 5*h**4/24 + 4*h**2. Does 14 divide y(4)?
True
Let o be (-3248)/(-42) - 4/(-6). Let x = o - 29. Is x a multiple of 37?
False
Let f be -2 - 6*(-6)/4. Suppose f*i = 6*i + 13. Is 5 a factor of i?
False
Suppose 208 + 56 = 4*h. Is h a multiple of 22?
True
Let i = -2 - -4. Suppose 0*f = 3*f - 99. Suppose -i*z = z - f. Is 11 a factor of z?
True
Suppose 2*u + 5*r + 21 = -u, -2*u + r = 27. Is (-29)/(-2) + (-6)/u a multiple of 4?
False
Let g = 19 + -13. Is (-77)/(-6) - (-1)/g a multiple of 9?
False
Let d(a) = 9*a**2. Is 9 a factor of d(-1)?
True
Suppose -c - 3*c - 4 = 0. Is 13 a factor of -2 + c/(3/(-84))?
True
Let s = 19 + -13. Is 2*s*6/9 a multiple of 6?
False
Suppose 510 = -5*g + 15*g. Does 11 divide g?
False
Suppose 3*r = 2*u + 5*r, 0 = 5*r + 20. Let z be (4/6)/(u/12). Suppose -4*g = -12, -2*p = z*g + g - 71. Is 13 a factor of p?
False
Let r(y) = 7*y**2 - 6. Is 13 a factor of r(5)?
True
Suppose 0 = -5*y + y + 3*k + 246, 0 = 3*y - 3*k - 186. Does 5 divide y?
True
Suppose 3*i - 4*i = 0. Suppose 5*b + 2*c = -i*c + 246, 0 = 3*b - 5*c - 129. Suppose 3*a + 2*q - 6*q - b = 0, 2*a - 4*q - 36 = 0. Is a a multiple of 5?
False
Suppose -2*i = 3 + 9. Let o(k) = -k**3 - 7*k**2 - 7*k - 5. Let f be o(i). Let n = 13 - f. Does 6 divide n?
True
Suppose 0 = i + i + 30. Let y be (i - 1)*3/(-6). Suppose 0 = 3*u - y - 52. Is u a multiple of 10?
True
Let t be 36/(-30)*(-40)/6. Let n(u) = -10*u - 1. Let p be n(-2). Let q = t + p. Is q a multiple of 10?
False
Suppose -5*g + 5*p + 290 = 0, 2*g = -0*p + 4*p + 126. Let x = g + -17. Is x a multiple of 12?
True
Let u be (-36)/2*(-77)/14. Suppose 3*j = -18 + u. Is j a multiple of 10?
False
Suppose 532 = 4*v - 8. Is 9 a factor of v?
True
Let l = 20 - 7. Let i = 21 + l. Is i a multiple of 11?
False
Let c = 22 - 1. Is 7 a factor of c?
True
Suppose 4*f = 4*p - 12, 5*p = -4*f + p - 4. Is 18 a factor of f/(-5) + (-108)/(-5)?
False
Suppose 2*c = 3*i - 21, -c = 3*i + 4*c. Suppose -i*f + 219 = 39. Is 12 a factor of f?
True
Let a be (-7)/(-14)*(2 - 0). Let j(d) = 0*d + 27*d**2 + 1 + d - 3*d. Is j(a) a multiple of 13?
True
Suppose 0*c - c = -6. Suppose n - c*n = 70. Is (-32)/n + (-4)/14 a multiple of 2?
True
Let x(v) = -8 - v**2 + 8 + 2*v. Let f be x(5). Does 14 divide 5*((-102)/f - 0)?
False
Suppose 5*j = -o + 19, -4*j + 0*o = o - 16. Suppose j*r - 87 = -v - 2*v, -v = -r + 35. Does 16 divide r?
True
Suppose -4*i + 5 = -7. Suppose 2*f - i*n - 39 = 0, 0 = -5*f + n - 5*n + 86. Is 9 a factor of f?
True
Let u(d) = -d**2 + 24*d - 27. Does 27 divide u(15)?
True
Let y(s) = -3*s**3 + s**2 - s - 2. Let h = 4 - 6. Is 12 a factor of y(h)?
False
Let c(a) = a**2 - 3*a - 4. Suppose -4*r = 5*j + 42, -3*j = -r + j - 21. Let z be r/(-2) - 5/(-10). Is 12 a factor of c(z)?
True
Is 3 a factor of 3/2*(-80)/(-12)?
False
Let u(n) = -2 - 5*n - 9*n + 4 + 3. Is 25 a factor of u(-4)?
False
Suppose 11 = 3*j - 31. Let y = j - -26. Does 13 divide y?
False
Suppose -16*q + 48 = -14*q. Is q a multiple of 24?
True
Suppose i - 39 - 12 = 0. Does 4 divide i?
False
Let a(w) be the first derivative of w**5/60 + 7*w**4/24 + 2*w**3/3 + w**2/2 - 1. Let n(j) be the second derivative of a(j). Does 15 divide n(-9)?
False
Let r = 3 + 9. Let h be r*3*(-3)/(-18). Suppose -3*t + 36 = -h. Is 14 a factor of t?
True
Is 7 a factor of (-4 - -3)/(192/196 - 1)?
True
Suppose 0 = -5*z - 23 + 63. Let j = z - -21. Does 10 divide j?
False
Let w(v) = v**3 - 4*v**2 - v - 5. Is w(5) a multiple of 4?
False
Let s = 8 - 4. Suppose j + 0*i = -i + 149, -s*i = -j + 169. Suppose -j = -4*t - 33. Is 11 a factor of t?
False
Suppose 8*j = 7*j + 4. Does 18 divide ((-202)/j)/((-16)/32)?
False
Let p be (-14)/(-63) + 104/18. Let o(l) = -l**3 + 16*l - 3. Let d(z) = 2*z**3 - z**2 - 33*z + 6. Let j(i) = p*d(i) + 13*o(i). Is j(-8) a multiple of 15?
True
Suppose -n - 4 = 2*n - 4*p, -5*n + 5*p - 10 = 0. Let u(s) = 4*s**2 + 9*s - 1. Does 9 divide u(n)?
True
Suppose 5*l - 9*l = -12. Suppose 49 = l*c - 35. Is c a multiple of 13?
False
Let t(n) = -n**3 - 5*n**2 + 4*n - 10. Does 10 divide t(-7)?
True
Suppose -5*b - 45 = -125. Is b a multiple of 8?
True
Suppose -5*l = 26 + 24. Let f be ((-10)/(-4))/((-5)/l). Suppose f*n - 2*j = 39 + 16, 2*n - 1 = 5*j. Is n a multiple of 13?
True
Suppose 0 = -5*k + 4*d - 5, -3*d + 2*d + 4 = -4*k. Does 21 divide (k - 4/(-10))*-45?
False
Let m(y) = -y + 3. Let x be m(-7). Suppose -2*l = -x + 54. Let r = -8 - l. Is 6 a factor of r?
False
Let j(b) = -4*b + 0*b - 2*b + b**2 + 4. Let c be j(5). Is 1/(-1) - (-24 - c) a multiple of 14?
False
Suppose -4*v = -5*w - 560, 0 = 4*v - 0*v - 4*w - 556. Does 9 divide v?
True
Let j(o) = 3*o**3 + o**2 + 2*o. Let a(p) = -2*p - 6. Let q be a(-4). Let w be (-3)/(q/((-8)/6)). Does 16 divide j(w)?
True
Does 5 divide 125/10 - 3 - 3/(-2)?
False
Let r(s) = -s + 2. Let o be r(0). Suppose 2*a = o*n - 34, -n = -5*n - a + 73. Does 9 divide n?
True
Let j(h) = 18*h**2 + 2*h - 1. Does 4 divide j(1)?
False
Suppose -2*i + 90 = -60. Is 15 a factor of i?
True
Let i = 58 + -30. Let f be (-187)/(-4) + (-1)/(-4). Let w = f - i. Does 19 divide w?
True
Let o(d) = 5*d - 7 - 1 - 2*d. Does 3 divide o(6)?
False
Let f = 289 + -169. Suppose -4*s = -j + 9, 3*s + 2*s - f = -5*j. Is 7 a factor of j?
True
Suppose -952 = -3*h - 11*h. Does 21 divide h?
False
Let n be (-6)/(-15) - (-9)/15. Suppose -3*z + n = -m, -2*z = 4*m - 2*m - 14. Suppose 5*j - 32 + z = 0. Is j a multiple of 3?
True
Let y be 1 + 84 + (-2 - -2). Suppose -2*l - 3*l + y = 0. Does 8 divide l?
False
Let l = -3 + 3. Suppose 4*b - 2 = s, 0*s + s - 2 = l. Suppose -b = -h + 5. Is h a multiple of 3?
True
Let d = -10 + -1. Let a(k) = -k**3 - 12*k**2 - 13*k - 4. Does 18 divide a(d)?
True
Let p = -18 + 28. Suppose 13*w = p*w + 78. Is w a multiple of 7?
False
Is 6 a factor of 4 + (-1 - (-11 + 4))?
False
Let y(p) = p + 14. Let q be y(0). Let m be (-8)/2*(-49)/q. Is 86*(m/4 - 3) a multiple of 11?
False
Let i = -16 + 8. Let j = i - -6. Is 11 + (4 + j - 1) a multiple of 9?
False
Let g(f) = f + 5 + 3*f - 6 + 4. Let w be g(-2). Is 16 a factor of ((-26)/w)/(1/5)?
False
Suppose 48 + 40 = 4*h. Let o(r) = 4*r - 3. Let k be o(2). Suppose h = 3*l - 2*z, k*l + z = -3*z. Is l a multiple of 4?
True
Let p = -3 - -3. Suppose o = 2*m + 16, o - m - 15 + 0 = p. Does 8 divide o?
False
Let w be -3 + 4 + -3 - -4. Let d(o) = -o + 1 - 5 - w. Is d(-11) a multiple of 5?
True
Suppose 2*n - 3*g - 14 = -5*g, -5*n - g + 51 = 0. Does 3 divide n?
False
Is -14*(-2)/4*13 a multiple of 5?
False
Let k(m) = m**3 + 5*m**2 - 7*m + 2. Suppose -24 = 7*b - 3*b. Is k(b) a multiple of 7?
False
Suppose -5*v - 2*w + 31 = 0, -2*v = 5*w - 0 - 4. Is (166 - 2)*v/14 a multiple of 24?
False
Suppose 0 = -4*c - t + 97, 15 = -7*t + 2*t. Let u be 24/10 + (-10)/c. Suppose u*k - 19 = 9. Is k a multiple of 7?
True
Suppose 0 = 5*h - 209 + 634. Let o = h - -160. Is o a multiple of 23?
False
Let p(g) = -2 - 2*g**3 + 2 - 4*g**2 + 4*g - 5. Is 11 a factor of p(-4)?
False
Let j(m) = m**2 - m + 1. Let z be 19/(-4) - 1/4. Let b be j(z). Suppose 3*y + 3*v = 3, 7*v - 2*v = y - b. Does 3 divide y?
True
Suppose -2 = -4*s + 2. Is s + -1*(-34 - -2) a multiple of 11?
True
Let y(a) = -a**3 + 6*a**2 - 5*a + 2. Let c(x) = -x**2 + 8*x + 4. Let s be 3/(-6) + (-17)/(-2). Let f be c(s). Is y(f) a multiple of 7?
True
Let s be (-1)/(-2) + (-21)/(-6). Suppose -3*x - 6 = -s*x. Let h(i) = i**3 - 6*i**2 + 5*i - 5. Is h(x) a multiple of 13?
False
Let f(c) be the first derivative of -c**3/3 - 7*c**2 - 9*c + 4. Is f(-8) a multiple of 13?
True
Suppose 5*g - 1 - 6 = 2*a, -g - 3*a + 15 = 0. Suppose 51 = 2*k + 3*k - 2*b, g*b = -k + 17. Is k a multiple of 3?
False
Let b be (-22)/(-8) + (-1)/(-4). Suppose b*q = 12 - 3. Suppose 0 = 2*t - q*d - 17, 0 = -2*t + d - 4*d + 35. Does | {
"pile_set_name": "DM Mathematics"
} |
be o(5). Solve -w*g = b*x - h*g, -x = -3*g - 8 for x.
2
Let z(l) = -l**3 - 4*l**2 + l - 6. Let d be z(-5). Let y = d + -9. Let j(v) = v**2 - 2*v + 4. Let c be j(-5). Solve -h + c = y*k + 10, 0 = h - 4 for k.
5
Let m = -12 - -10. Let c = -2 - m. Solve b + 2*b - 4*t + 2 = c, 3*b + t + 7 = 0 for b.
-2
Let s be (18/15)/((-6)/(-15)). Solve -18 = s*f + 3*u, 5*f + u = 3*u - 23 for f.
-5
Let a = 6 - 8. Let t be 16/6 + a/(-6). Solve -s = t*y - 14, -4*y + 11 = -y + 4*s for y.
5
Let i be 8/(16/(-9))*-2. Solve -o - 5*v + 29 = 0, o + 2*v = v + i for o.
4
Let p = 32 + -32. Solve f - 3*i = 4*f + 18, -2*f + 3*i + 8 = p for f.
-2
Let o = 6 - 6. Suppose o = 5*u - 30 - 40. Let f be 2/(5/(15/6)). Solve -4*t - u = -2*a, f = 2*t + a + 2 for t.
-2
Let t = -3 - -7. Suppose 4*q + h - 16 = 0, 3*q + 2*q - 41 = t*h. Suppose 0 = 5*d - 2 - 48. Solve -5*g - q*m + 9 = -2*m, -4*g + d = m for g.
3
Let v(b) = -2*b**2 + 5*b - 3. Let k be v(3). Let x be k/1*2/(-4). Solve x*m - 5*f = -25, 4*m + 0*f + 12 = -4*f for m.
-5
Suppose -3*i - 2 = -4*i. Let r(t) = -t**3 + 7*t**2 - 2*t - 8. Let y be r(6). Solve p + i*p = c + 11, 5*c = 2*p - y for p.
3
Let u(y) = y**2 - 5*y + 5. Let f be u(5). Let z be (4/(-6))/((-20)/30). Solve f*c - z = 2*r + 22, r + 16 = 4*c for r.
-4
Let j(r) = -r**3 - 4*r**2 - 2*r - 4. Let s be j(-4). Let q = -9 + s. Let p be (-4 - -2 - -1)*q. Solve n + 4 = -n - 2*m, 5*n - p*m + 20 = 0 for n.
-3
Let g(v) = -3*v - 35. Let w be g(0). Let j be (-56)/w - 4/(-10). Solve a - 3*y - 25 = j*y, 3*a - 4*y - 31 = 0 for a.
5
Let d(r) = -r**2 + 7*r - 2. Let c be d(6). Solve 0 = 4*a + c*o, -6 = -5*a - 0*o + o for a.
1
Suppose 0 = -a + 5, -7*p - 5*a = -3*p - 81. Solve 0 = 5*w + 3*t - 7, 4*w - p = 2*w - 4*t for w.
-1
Let d be (-1)/(-1*(-5)/(-10)). Solve -d*y - 10 = 0, -l + 5 = -0*y - 2*y for l.
-5
Let j = 9 + 9. Solve 3*g + 4*w + j = 0, 2*w - 10 = -g + 6*w for g.
-2
Let i be (-2)/(-3)*((-30)/(-4) - 3). Solve -4*o - 23 = -i*p, -2*p - o + 12 = -3*o for p.
1
Let a = 0 + -1. Let o be (a + (-3)/(-2))*10. Suppose -10 = -o*c + 10. Solve 0 = -5*z - c*w + 18, -12 = -4*z - 0*z - 2*w for z.
2
Let h be 2 + 1 + 1*(-9 + 10). Let u = 96 - 40. Suppose 4*n = 9 - 25, 4*i = 2*n + u. Solve h*l = -3*k - 5, 0*k = -2*k + 5*l + i for k.
1
Let w(p) = -p**2 - 16*p + 41. Let y be w(-18). Solve 3*g - 3*j + 6 = 0, y*j = -g - 3 - 5 for g.
-3
Suppose -c - 18 = 2*c. Let d = -6 - c. Solve d*m + 11 = -4*m + o, 0 = -4*m + 3*o - 1 for m.
-4
Suppose 0 = c + 3*d - 10, 0*c = 5*c + d - 36. Suppose -4*s = 5*a - c*s - 28, 4*s + 9 = a. Let b = a + -3. Solve -5*w + b*y + 1 = 0, -5 - 1 = -3*y for w.
1
Let g(c) = -c**2 + 17*c + 22. Let t be g(18). Solve -2*q = 2*m, -5*m + t*q - 2*q + 14 = 0 for m.
2
Suppose 2 = o - 2*o, 3*g - 17 = 4*o. Solve -g*p + 10 = 2*q, -20 = 5*p - 2*p - 4*q for p.
0
Let z(x) = -x**2 + 6*x + 2. Suppose 4*p + 26 = 2*k, -k + 11 = -5*p - 14. Let n be z(k). Let c = 11 - n. Solve 5*l = 15, c*d + 3*l + 11 = -d for d.
-4
Let m(x) = 4*x - 3. Let b be m(1). Solve 2*i + 5*r = b, 5*i - 5*r + 9 = -6 for i.
-2
Let s = -13 - -35. Solve -2*d + 4*r - s = 0, -4 = 2*r - 3*r for d.
-3
Suppose -2*u - 8 = 6. Suppose -11 = n - 0*n. Let b = u - n. Solve -b*v + 5*o = -6*v + 12, -4*v + o + 2 = 0 for v.
1
Let q(m) = m + 15. Let b be q(-10). Solve l = 2*g + 10, -b*l + l + 4*g + 20 = 0 for l.
0
Let q = 244 - 135. Suppose 3*c = -7*i + 2*i + q, -4 = 2*c. Solve 0*l + 2*l - 3*g + 13 = 0, i = -4*l + 5*g for l.
-2
Suppose 2*x - 4*x = -24. Solve 0 = 5*r - 2*a + 17, 3*a = -5*r - 0*r - x for r.
-3
Let d be 6/27 - (-428)/18. Suppose 0*u = 2*u - d. Solve 2*k + 3*r + r + u = 0, 4*r = k for k.
-4
Suppose -5*r + 6 = -3*u, -2*r - 3 = 4*u - 7*u. Solve 2*n - 5*m + 19 = -7, u*m = -4*n for n.
-3
Let p be 1 + (0 - (-6)/(-2)). Let z(w) = 2*w**2 + 2*w. Let c be z(p). Solve c*f - 12 = -5*m + 4*m, -20 = 2*m - 3*f for m.
-4
Suppose -2 = -n + 1. Let u(a) = -a**3 - 7*a**2 + 3. Let p be u(-7). Let f = 5 - p. Solve 5*i = -n*q + 8 + 32, f*q = 10 for i.
5
Let g(l) = 3*l - 1. Suppose t = 2 + 1. Let u be g(t). Solve -3*w + x + u = -2, -4*w + 4*x = -8 for w.
4
Let d(t) = -t**3 + 15*t**2 - t + 19. Let h be d(15). Solve -2 = l + k, 0 = -5*l + 4*k - h - 15 for l.
-3
Let x(b) = b**2 + 6*b - 3. Let s be x(-7). Suppose -2*r + 2*l - 30 = -s*r, 3*r - 4*l - 24 = 0. Solve -2*z + c = 3*c - r, -5*c + 6 = -z for z.
4
Suppose 25*m + 35 = 32*m. Solve 0 = -2*z - 4*v + 24, -m*z + 13 = 4*v - 17 for z.
2
Let i be (-2 + 0)*(-8)/16. Suppose 4*n + i - 13 = 0. Solve -f = -4*y - 1, -4*f + n*y = -8 + 4 for f.
1
Let l(a) = a**2 + 2*a - 5. Let g be l(-4). Solve -25 = 5*t + k, g + 2 = -k for t.
-4
Suppose 13*z = 9*z + 16. Solve 5 = -t - 5*g, 2*t = -3*g - z + 1 for t.
0
Let f(s) = -s + 3. Let b be f(3). Let m be b + -1 + -4 + 5. Let p be 2/5 + 26/10. Solve 5*k + 14 = -x, -p*x + 4*k + 0*k + 15 = m for x.
1
Let x(m) = m**2 + 3*m - 3. Let a be x(-4). Let k(q) = 0 + a + q - 2 - 2*q. Let z be k(-4). Solve -2 = 2*v, 0 = -2*s + 7*s - z*v - 28 for s.
5
Let h(d) be the second derivative of -2*d + 0 - 2*d**2 - 1/2*d**3. Let f be h(-7). Solve 3 = -3*u, 2*l + l + f = -2*u for l.
-5
Suppose -5*j - 5*n = -10, -j + 3*n = -0*j - 10. Solve 2*d + 10 = j*z - z, 4*d + 8 = 0 for z.
2
Suppose l = -0 + 4. Solve 4*v - 20 = l*u, -6 = -v + 2*u + 4 for v.
0
Let z = -5 - -3. Let r be (20 - (z - -4)) + 1. Let c(j) = j**2 + 4*j. Let t be c(-5). Solve 5*x = -t*o - 15, -4*x - r - 1 = -4*o for x.
-4
Suppose -4*l - n + 13 = -l, 18 = 4*l + n. Solve t - 3*t = 0, 0 = l*j - 5*t + 10 for j.
-2
Suppose -2*i - 3*i = 855. Let m be i/(-33) + (-8)/44. Solve -3*z - 4*t - 19 = 0, -z - m*t = -5*z - 15 for z.
-5
Suppose 3*m = -3*c + 30, -5*c + 4*m = -10*c + 50. Suppose -8 = -b + 3. Let n = 11 - 6. Solve n*i - 2*i - b = 2*h, -4*i - 2*h + c = 0 for i.
3
Let l(m) = -m**3 + 3*m**2 + 4*m + 5. Let y be l(4). Solve 3*r - 31 = 5*p + y*r, 6 = -3*p + 3*r for p.
-5
Suppose 4 = -13*z + 14*z. Solve -4*i = -i + 3*b + 9, -b = z*i for i.
1
Suppose 53 = 3*o - 22. Solve -8*c + o = 3*u - 4*c, 4*u + 4*c - 28 = 0 for u.
3
Suppose 0*i = -i - 3. Let f be i/(-6) + (-15)/6. Let j = -2 - f. Solve j = 4*h - 0*h + 8, s + h + 6 = 0 for s.
-4
Let o(r) be the second derivative of -r**4/12 - 5*r**3/6 + 2*r**2 + r. Let c be 38/(-8) + 2/(-8). Let h be o(c). Solve -13 = z + h*g, -4*z - 4*g - 2 = 2 for z.
3
Let p = -5 + 2. Let v = -2 - p. Let w be 0/(1 - 0)*v. Solve -2*o + 5*r - 3 = w, -3*o - 4 - 3 = -5*r for o.
-4
Let k = 41 - 37. Let t be (-2)/3*(2 - 17). Let f be t/k*(4 - 2). Solve -4*v - 14 = -q, q - f*v - 25 = -4*q for q.
2
Let n(f) = 13*f**2 - f - 2. Let q be n(-1). Solve -33 = 2*a - 5*m - 6, 3*m - q = -3*a for a.
-1
Let m be 12 + (3/(-3))/((-1)/(-4)). Solve -3*q + 1 + 4 = -5*t, 2*q - t = m for q.
5
Let h(g) = 2*g**3 - 3*g**2 + 2*g + 2. Let n(l) = -2*l. Let a be n(-1). Let z be a/10 - (-18)/10. Let c be h(z). Solve -4*s + c = -4*m + 3*m, s - 9 = -3*m for m.
2
Suppose -2*k = -c + 20, 4*k + 37 + 3 = 5*c. Let w be (-26)/k - (-8)/20. Solve -w*q = 3, 0 = -2*g + 2*q + 2*q for g.
-2
Let w be (4 + 1 - 1) + -2. Solve 0 = v + w*a - 6*a - 12, 5*a = -15 for v.
0
Let h(d) = d - 1. Let n be h(5). Suppose -3*y - 13 = -5*v, 0 = -0*v + 5*v + 3*y - 37. Solve -14 = r - v*x, r = n*x - 3*x - 2 for r.
1
Suppose u + 2 = -3*g - 3*u, 17 = 2*g - u. Suppose -5*p + g = 2*t, 5*t + 3*p = -p + 15. Solve -2*y + y - t*f = 2, y - 2*f - 3 = 0 for y.
1
Let n = 17 - 16. Solve i + n = -3*q, -4*i - 2*q - 3*q - 4 = 0 for i.
-1
Let h = 4 - 1. Solve 0*l - l - 9 = -5*g, -1 = g - h*l for g.
2
Suppose -i - 3*i + 12 = 0. Solve 0 = 3*d - s - 2, d - 4*s - 22 = -i for d.
-1
Let s = -12 - -18. Suppose -x + s = -2*w, -3*w + 2 + 4 = 0. Let p = -2 - -6. Solve -5*o = -3*o - p*c, -3*o - x = -c for o.
-4
Suppose -t = t + 2*u - 16, 5*u = 3*t. Suppose -7 - 41 = -4*f + 2*g, -t*f = -3*g - 58. Solve -v = -2*m + f, m + 3*v + 2*v = -15 for m.
5
Let f be (-24)/(-10) - (-2)/(-5). Suppose 4 = f*z - 0*z. Suppose -7 + 0 = -2*p - s, 4*p - 10 = z*s. Solve p*j + j = 5*d - 15, d + 2*j = 3 for d.
3
Let t = -1 + 5. Solve 3*f - t*w = 9, -5*f + 2*w + 7 = -8 for f.
3
Let m be (2 + 3)*(-6)/(-10). Let z be (5/m)/(2/6). Suppose -z*y + 3*f = -35, 2*y = 3*f - f + 18. Solve 7 = -4*i + a + 3, 3*i + y*a = 16 for i.
0
Let c = -10 - -12. Let o(h) = 3*h**2. Let r be o(1). Suppose 3*n - 7 = -2*t, r*n - 3*t - 9 = n. Solve -c*a = 2*b + a + 9, -a = 3*b + n for | {
"pile_set_name": "DM Mathematics"
} |
= 2*w + 3*w - 25. Suppose 14 = -2*m + w*t + 33, 5*m = 5*t + 25. What is the third derivative of 2*c**m + c - 2*c**4 - c**2 - c wrt c?
-48*c
Let s(q) be the first derivative of 0*q**2 + 0*q**5 - 1/2*q**6 + 0*q**4 - 1 + 0*q - 4/3*q**3. Find the third derivative of s(h) wrt h.
-180*h**2
Find the third derivative of -11*y**2 + 16*y**2 - 9*y**5 + 33*y**2 - 15*y**5 wrt y.
-1440*y**2
Find the second derivative of -9*v**5 - 11*v - 2*v**5 - v**5 + 2*v**5 wrt v.
-200*v**3
Let l(i) = 35*i**3 - 29*i**2 - 7*i - 7. Let k(m) = 18*m**3 - 14*m**2 - 3*m - 3. Let f(t) = 7*k(t) - 3*l(t). What is the third derivative of f(y) wrt y?
126
What is the third derivative of 13*j**2 + 7*j**2 + 15*j**3 - 50*j**3 + 23*j**3 wrt j?
-72
What is the third derivative of 3*g**4 - 12*g**4 + 7 - 7 - 13*g**2 wrt g?
-216*g
Let f(n) = -2*n + 1. Let b be f(-1). What is the derivative of b*d - 2*d + 1 + 2 - 4 wrt d?
1
Let o be -7 - (1 + -1)/(-3). Let z = -2 - o. What is the second derivative of z*d - 2*d - 4*d - d**4 wrt d?
-12*d**2
Let q(n) be the second derivative of -n**6/2 + 3*n**2/2 + 14*n. What is the first derivative of q(k) wrt k?
-60*k**3
Let n be (8 + 2)/2 - 0. Suppose -n*p + 5*v - 6 = -36, 2*p = -5*v - 2. What is the derivative of y**4 - 5*y**4 + 3*y**p + 2 wrt y?
-4*y**3
Suppose 2*p + 6*j - 3*j - 17 = 0, 2*p - 5*j - 9 = 0. Differentiate 217*s**2 - 217*s**2 - s**4 - p wrt s.
-4*s**3
Let i(h) be the second derivative of -7*h**5/20 - 7*h**2/2 + 6*h. What is the derivative of i(u) wrt u?
-21*u**2
Let n(c) be the second derivative of -2*c**7/21 + 5*c**3/6 - 20*c. Find the second derivative of n(j) wrt j.
-80*j**3
Find the second derivative of 15*w**3 - 9*w**3 + 4*w**3 - 10*w wrt w.
60*w
Let r(x) be the first derivative of 0*x**3 + 0*x**4 + 0*x**5 + 6 - 5/6*x**6 + 0*x + 5/2*x**2. What is the second derivative of r(t) wrt t?
-100*t**3
Let v = 1 - -4. Find the second derivative of d + 4 - v*d - 4 - 3*d**4 wrt d.
-36*d**2
Let a(v) = v**2 + v. Let b(h) = -5*h**2 - 3*h + 11. Let y(q) = -3*a(q) - b(q). Differentiate y(k) with respect to k.
4*k
What is the second derivative of -3*p - 70*p**4 - 69*p**4 + 139*p**4 - 7*p**5 wrt p?
-140*p**3
Suppose 0 = 3*r - 0 - 6. Let t = 5 - r. Differentiate -1 + s + t + s wrt s.
2
Let l(x) = 9*x**2 + 72*x. Let t(r) = 6*r**2 + 48*r. Let q(y) = -5*l(y) + 8*t(y). What is the second derivative of q(i) wrt i?
6
Let o(s) be the first derivative of -3*s**4 + 3*s**2/2 - 13. Find the second derivative of o(r) wrt r.
-72*r
Let f(i) be the third derivative of -i**8/840 - i**5/60 - i**3/6 + 3*i**2. Let w(c) be the first derivative of f(c). Find the second derivative of w(m) wrt m.
-24*m**2
What is the first derivative of 3*m + 7*m - 5*m + 7 + 2*m wrt m?
7
Let w(s) = s**3 + 2*s - 3. Let r be w(2). Let m = r + -7. What is the second derivative of 5 + t**m + 3*t**2 - 5 - 3*t wrt t?
8
What is the third derivative of -9*f**5 + 9*f**5 - 5*f**6 + 2*f**2 - f**6 wrt f?
-720*f**3
What is the third derivative of 3*j**2 + 4*j**5 + 15*j**5 - 4*j**5 wrt j?
900*j**2
Suppose -y = 4*m - 1, 2*m = 2*y - 0*y - 2. What is the derivative of -d + 3*d - 3 - y + 6 wrt d?
2
Suppose -6 + 2 = -2*y. Suppose 2*s = -0*s + y. What is the first derivative of -2 + s - 2*a**2 - 1 wrt a?
-4*a
Let l(k) be the first derivative of k**2/2 - 9*k - 12. What is the first derivative of l(r) wrt r?
1
Let t(h) be the first derivative of h**8/1680 + h**4/12 - 7*h**3/3 - 2. Let u(y) be the third derivative of t(y). Find the first derivative of u(m) wrt m.
4*m**3
Let x(g) = -g**3 + 4*g**2 + 2*g - 4. Let i(o) = -o**3 - o**2 + o + 1. Let q(c) = -4*i(c) - x(c). What is the second derivative of q(l) wrt l?
30*l
Let f(l) = l**3 + 2*l**2 + 4. Let p be f(-3). Let i = p + 10. What is the second derivative of 2*r**4 - i*r**4 + r - 2*r wrt r?
-36*r**2
Let z(w) be the third derivative of w**4/24 - w**3/2 - w**2. Let m be z(6). Find the third derivative of 2*a**3 + 2*a**2 + 0*a**m + 0*a**2 wrt a.
12
Let t(c) be the third derivative of c**8/84 - c**6/24 + c**5/30 - c**4/12 - c**2 + c. Find the third derivative of t(j) wrt j.
240*j**2 - 30
Suppose 0 = 3*d - 1 - 8. Find the first derivative of -3*u + 0*u + d - 3 - 1 wrt u.
-3
Suppose 3*v = 2*g + 5, 4*g + 5*v + 28 - 73 = 0. Find the second derivative of -g*m**2 - 10*m - 2*m + m wrt m.
-10
Suppose 20 = 5*f, 5*f - 3*f - 4 = -4*u. Let y be 7 + 3*u/1. Find the first derivative of 4*r**2 - 8*r**2 + y - 2 wrt r.
-8*r
Find the third derivative of z - 8*z**4 - 5*z + 53*z**2 + 5*z**3 + 4*z wrt z.
-192*z + 30
Let l(j) = -j + 1. Let t be l(-2). What is the second derivative of -t*b + 0 + 5*b**2 - 1 + 1 wrt b?
10
Let a be -2*(-2 + 1 + -3). Suppose 2*o + 2*o = a. Find the second derivative of p**4 - 2*p**o + 2*p**2 + p wrt p.
12*p**2
Suppose -4*a = -2*z, 10*z - 5*z = 5*a + 10. Suppose -z = -5*w + 6. Find the second derivative of -c + 0*c**3 + 0*c**3 - w*c**5 wrt c.
-40*c**3
Suppose -4*z - 1 + 21 = 0. Find the third derivative of -n**3 + 4*n**3 + z*n**2 - 3*n**3 - 2*n**3 wrt n.
-12
Let l(v) be the third derivative of -13*v**5/20 - 5*v**4/24 - v**3/2 + 47*v**2. What is the second derivative of l(t) wrt t?
-78
Let j = 10 + -8. Find the second derivative of -7*o**4 + 2 - j + 4*o + 6*o**4 wrt o.
-12*o**2
Let i be (5 - (-1 - -2)) + 0. Suppose -7 - 3 = 2*s, 5*s + 37 = i*n. What is the derivative of 0*j**3 - 2 + 3*j**3 - j**n wrt j?
6*j**2
Let d(k) be the first derivative of 2 - 3/2*k**4 + 0*k + 0*k**3 - 2*k**2. Find the second derivative of d(g) wrt g.
-36*g
Let x(k) be the third derivative of 0 + 0*k + 0*k**4 + 1/30*k**5 - 4*k**2 - 1/6*k**3. Find the first derivative of x(j) wrt j.
4*j
Let v(m) = -m**3 + m**2 + m + 1. Let d(x) = -8*x**3 - 7*x**2 + 4*x + 4. Let t(o) = d(o) - 4*v(o). What is the third derivative of t(f) wrt f?
-24
Let p(o) be the first derivative of -o**5/5 - 2*o**3/3 - 6. Find the third derivative of p(j) wrt j.
-24*j
What is the third derivative of 3*n**4 - 2*n**2 - 4*n**4 + 6*n**2 wrt n?
-24*n
Find the third derivative of -14*h**5 + 54*h**2 + 9*h**5 - 23*h**2 wrt h.
-300*h**2
Let k(b) = -b**3 - b**2 - b - 1. Let v(y) = -5*y**3 - 4*y**2 - 4. Let z(m) = 4*k(m) - v(m). What is the second derivative of z(i) wrt i?
6*i
Suppose 12 = k + 4*p, -5*k + 19 - 7 = 4*p. Let m = k - -2. What is the second derivative of 0*b**5 + m*b + 0*b**5 - b**5 wrt b?
-20*b**3
Let v(a) be the third derivative of -a**9/15120 - a**5/40 - a**4/12 - a**2. Let f(w) be the second derivative of v(w). What is the derivative of f(i) wrt i?
-4*i**3
Let z = -27 - -38. Let u = z - 8. What is the derivative of 5*n - 3 - 1 - 4*n + u wrt n?
1
Suppose -4*h + 3 = -t - 10, 5*h - 20 = 5*t. Suppose i - h*i + 24 = 2*x, -x = 2*i - 20. Find the second derivative of -6*d - d + 2*d**5 + i*d wrt d.
40*d**3
Let c(n) be the first derivative of 0*n + 2 + n**2 + 0*n**4 + 0*n**5 + 1/6*n**6 + 0*n**3. Find the second derivative of c(o) wrt o.
20*o**3
Let d(j) = j**4 + j**2 - 1. Let p(g) = 7*g**4 + g**2 + 4*g - 1. Let i(q) = d(q) - p(q). What is the second derivative of i(f) wrt f?
-72*f**2
Let z(p) = -p**3 - 4*p**2 + 5*p + 6. Let h be z(-5). Find the second derivative of d**4 - h*d**4 + 2*d + 3*d**4 + 2*d wrt d.
-24*d**2
Let v(x) be the second derivative of -x + 0 - 3/2*x**2 - 2/3*x**3. Differentiate v(c) wrt c.
-4
Let a be 6 - ((-2 - -3) + 3). Find the third derivative of 28*c**a - 25*c**2 + c**5 - 2*c**5 wrt c.
-60*c**2
Let f(c) = -2*c**2 - 10*c + 48. Let j(n) = -5*n**2 - 20*n + 97. Let k(l) = 13*f(l) - 6*j(l). What is the derivative of k(r) wrt r?
8*r - 10
Find the second derivative of 2*s + 6*s - 8*s**4 - s wrt s.
-96*s**2
Let x(s) be the second derivative of 2*s**6/15 + s**3/3 - 4*s. What is the second derivative of x(v) wrt v?
48*v**2
Let c(m) be the second derivative of 0*m**7 - 3*m - 3/56*m**8 + 0*m**2 + 0*m**5 + 0*m**3 + 0*m**6 + 1/12*m**4 + 0. Find the third derivative of c(v) wrt v.
-360*v**3
Let r(l) = l**3 + l**2. Let o(i) = 3*i**3 - 5*i**2 + 3*i. Let j(k) = o(k) + 5*r(k). Find the second derivative of j(b) wrt b.
48*b
Suppose -2*w - 13 = 3*j, 6*j - 3*w + 6 = 2*j. Let a be ((-3)/j)/((-2)/(-6)). Find the second derivative of -2*q**a + 3*q + 2*q - 4*q wrt q.
-12*q
Let o(l) = -l**2 + 3*l + 3. Let t be o(3). Find the third derivative of 4*c**2 - 6*c**2 - 3*c**3 + 6*c**t wrt c.
18
Let n be (4 + -1)*3/(-9). Let v be (-1 - 0 - n) | {
"pile_set_name": "DM Mathematics"
} |
, 82, 47, -12?
-b**3 + 2*b + 103
What is the b'th term of -208, -416, -624, -832?
-208*b
What is the o'th term of 1330, 2689, 4062, 5455, 6874?
o**3 + o**2 + 1349*o - 21
What is the w'th term of -436, -1758, -3968, -7072, -11076?
-w**3 - 438*w**2 - w + 4
What is the b'th term of 0, -1, -4, -9, -16?
-b**2 + 2*b - 1
What is the q'th term of 95, 93, 91?
-2*q + 97
What is the p'th term of -13, -9, -5, -7, -21, -53, -109?
-p**3 + 6*p**2 - 7*p - 11
What is the z'th term of 64, -40, -220, -482, -832, -1276, -1820?
-z**3 - 32*z**2 - z + 98
What is the o'th term of 76, 81, 100, 139, 204?
o**3 + o**2 - 5*o + 79
What is the v'th term of 933, 909, 869, 813, 741, 653?
-8*v**2 + 941
What is the n'th term of -477, -472, -463, -450, -433, -412, -387?
2*n**2 - n - 478
What is the d'th term of 8435, 8432, 8429?
-3*d + 8438
What is the b'th term of -27, -24, -17, -6, 9?
2*b**2 - 3*b - 26
What is the u'th term of 58, 141, 236, 349, 486?
u**3 + 76*u - 19
What is the p'th term of 0, 5, 8, 9, 8?
-p**2 + 8*p - 7
What is the y'th term of 7, 13, 31, 67, 127, 217, 343, 511?
y**3 - y + 7
What is the w'th term of 52, 123, 258, 469, 768?
2*w**3 + 20*w**2 - 3*w + 33
What is the o'th term of 42, 96, 150, 204?
54*o - 12
What is the v'th term of 449, 419, 369, 299, 209, 99, -31?
-10*v**2 + 459
What is the w'th term of -88239, -88237, -88225, -88197, -88147, -88069, -87957?
w**3 - w**2 - 2*w - 88237
What is the t'th term of 455, 460, 465?
5*t + 450
What is the t'th term of -282, -281, -280?
t - 283
What is the h'th term of -111, -446, -997, -1758, -2723, -3886, -5241, -6782?
h**3 - 114*h**2 + 2
What is the r'th term of 20, 4, -24, -70, -140?
-r**3 - 9*r + 30
What is the f'th term of 11, 16, 17, 8, -17?
-f**3 + 4*f**2 + 8
What is the r'th term of 161, 169, 185, 215, 265, 341?
r**3 - 2*r**2 + 7*r + 155
What is the u'th term of -13, -33, -69, -127, -213, -333, -493?
-u**3 - 2*u**2 - 7*u - 3
What is the a'th term of -13, 62, 269, 674, 1343, 2342?
11*a**3 - 2*a - 22
What is the a'th term of 44, 99, 152, 203, 252, 299, 344?
-a**2 + 58*a - 13
What is the h'th term of 104, 153, 204, 257?
h**2 + 46*h + 57
What is the k'th term of 82, 85, 86, 85?
-k**2 + 6*k + 77
What is the w'th term of -2, 7, 30, 67, 118, 183?
7*w**2 - 12*w + 3
What is the z'th term of 597, 1198, 1797, 2394?
-z**2 + 604*z - 6
What is the m'th term of -1256, -2511, -3766, -5021, -6276, -7531?
-1255*m - 1
What is the b'th term of 311, 616, 921, 1226, 1531, 1836?
305*b + 6
What is the l'th term of 2306, 2302, 2298, 2294, 2290?
-4*l + 2310
What is the z'th term of 13, -5, -59, -167, -347, -617?
-3*z**3 + 3*z + 13
What is the o'th term of 135, 277, 427, 585, 751, 925?
4*o**2 + 130*o + 1
What is the v'th term of -14, -20, -26, -32?
-6*v - 8
What is the z'th term of 77, 148, 215, 278, 337, 392, 443?
-2*z**2 + 77*z + 2
What is the n'th term of 4, -3, -10?
-7*n + 11
What is the z'th term of -3941, -3942, -3943, -3944, -3945, -3946?
-z - 3940
What is the b'th term of -3441, -3440, -3439?
b - 3442
What is the v'th term of -73, -145, -217, -289?
-72*v - 1
What is the i'th term of -17, -21, -15, 7, 51, 123, 229, 375?
i**3 - i**2 - 8*i - 9
What is the f'th term of -10, -12, 2, 38, 102, 200, 338, 522?
f**3 + 2*f**2 - 15*f + 2
What is the t'th term of 91, 189, 287, 391, 507, 641, 799?
t**3 - 6*t**2 + 109*t - 13
What is the h'th term of -3, -12, -43, -108, -219, -388, -627, -948?
-2*h**3 + h**2 + 2*h - 4
What is the x'th term of 198, 148, 68, -42, -182, -352, -552?
-15*x**2 - 5*x + 218
What is the u'th term of -32, -39, -50, -65, -84?
-2*u**2 - u - 29
What is the z'th term of 87, 345, 775, 1377, 2151, 3097, 4215?
86*z**2 + 1
What is the h'th term of 42, 52, 68, 90, 118?
3*h**2 + h + 38
What is the z'th term of 150, 294, 436, 576, 714, 850?
-z**2 + 147*z + 4
What is the k'th term of 5, -3, -21, -55, -111?
-k**3 + k**2 - 4*k + 9
What is the n'th term of 18, 23, 30, 39, 50?
n**2 + 2*n + 15
What is the d'th term of 1338, 1338, 1340, 1344, 1350?
d**2 - 3*d + 1340
What is the y'th term of -109, -221, -345, -487, -653, -849?
-y**3 - 105*y - 3
What is the l'th term of -142, -576, -1300, -2314, -3618, -5212?
-145*l**2 + l + 2
What is the b'th term of 38, 52, 82, 134, 214, 328, 482?
b**3 + 2*b**2 + b + 34
What is the h'th term of 102, 124, 160, 210, 274, 352?
7*h**2 + h + 94
What is the m'th term of 128, 131, 136, 143, 152, 163?
m**2 + 127
What is the p'th term of 75, 85, 103, 129?
4*p**2 - 2*p + 73
What is the x'th term of 120, 199, 216, 141, -56, -405, -936, -1679?
-5*x**3 - x**2 + 117*x + 9
What is the z'th term of 49, 35, 21, 7?
-14*z + 63
What is the l'th term of 18, 104, 236, 408, 614?
-l**3 + 29*l**2 + 6*l - 16
What is the l'th term of 333, 334, 335, 336, 337, 338?
l + 332
What is the v'th term of -39, -84, -147, -222, -303?
v**3 - 15*v**2 - 7*v - 18
What is the t'th term of 45, 66, 87, 108?
21*t + 24
What is the k'th term of -156, -140, -108, -54, 28, 144, 300?
k**3 + 2*k**2 + 3*k - 162
What is the q'th term of 52, 106, 160, 214?
54*q - 2
What is the n'th term of 474, 475, 476?
n + 473
What is the p'th term of -9, -19, -49, -111, -217, -379?
-2*p**3 + 2*p**2 - 2*p - 7
What is the k'th term of 19, 56, 93, 130?
37*k - 18
What is the x'th term of 940, 942, 944?
2*x + 938
What is the l'th term of -100, -242, -384, -526?
-142*l + 42
What is the v'th term of 75, 124, 215, 354, 547, 800?
v**3 + 15*v**2 - 3*v + 62
What is the a'th term of -247, -2016, -6821, -16180, -31611?
-253*a**3 + 2*a + 4
What is the c'th term of 127, 175, 261, 391, 571, 807?
c**3 + 13*c**2 + 2*c + 111
What is the a'th term of 10, 28, 48, 64, 70, 60?
-a**3 + 7*a**2 + 4*a
What is the v'th term of 39, 345, 1187, 2835, 5559, 9629, 15315?
45*v**3 - 2*v**2 - 3*v - 1
What is the p'th term of -548, -554, -562, -572, -584, -598, -614?
-p**2 - 3*p - 544
What is the a'th term of 5, 9, 15, 23, 33?
a**2 + a + 3
What is the k'th term of 107, 106, 101, 92, 79, 62?
-2*k**2 + 5*k + 104
What is the j'th term of -328, -428, -528, -628, -728, -828?
-100*j - 228
What is the j'th term of -44, -84, -124, -164?
-40*j - 4
What is the m'th term of 136, 141, 146, 151?
5*m + 131
What is the s'th term of -25, -56, -115, -208, -341, -520, -751, -1040?
-s**3 - 8*s**2 - 16
What is the r'th term of 2533, 2532, 2531?
-r + 2534
What is the m'th term of -180, -175, -156, -117, -52, 45?
m**3 + m**2 - 5*m - 177
What is the i'th term of 213, 206, 189, 156, 101?
-i**3 + i**2 - 3*i + 216
What is the i'th term of -175, -141, -107, -73, -39, -5?
34*i - 209
What is the p'th term of -193, -195, -199, -205, -213, -223, -235?
-p**2 + p - 193
What is the y'th term of -59, -113, -167, -221, -275, -329?
-54*y - 5
What is the v'th term of 79, 80, 83, 88, 95, 104, 115?
v**2 - 2*v + 80
What is the t'th term of 28, 50, 66, 76, 80, 78?
-3*t**2 + 31*t
What is the z'th term of 42, 120, 208, 312, 438, 592?
z**3 - z**2 + 74*z - 32
What is the d'th term of -1804, -3621, -5440, -7261, -9084?
-d**2 - 1814*d + 11
What is the o'th term of -245, -490, -735?
-245*o
What is the q'th term of 5, 5, 19, 59, 137, 265, 455?
2*q**3 - 5*q**2 + q + 7
What is the a'th term of -90, -99, -118, -153, -210?
-a**3 + a**2 - 5*a - 85
What is the j'th term of 39, 61, 85, 111, 139, 169?
j**2 + 19*j + 19
What is the z'th term of -16, -50, -136, -298, -560, -946?
-4*z**3 - 2*z**2 - 10
What is the o'th term of 670, 664, 650, 622, 574, 500?
-o**3 + 2*o**2 - 5*o + 674
What is the f'th term of -1262, -1258, -1256, -1256, -1258, -1262?
-f**2 + 7*f - 1268
What is the i'th term of 17, 29, 39, 47, 53?
-i**2 + 15*i + 3
What is the g'th term of 351, 702, 1053, 1404, 1755, 2106?
351*g
What is the f'th term of 992, 1000, 1014, 1034, 1060?
3*f**2 - f + 990
What is the u'th term of 7100, 14197, 21294, 28391, 35488?
7097*u + 3
What is the r'th term of -41, -58, -91, -146, -229?
-r**3 - 2*r**2 - 4*r - 34
What is the f'th term of 1698, 6809, 15326, 27249, 42578, 61313, 83454?
1703*f**2 + 2*f - 7
What is the v'th term of 51, 99, 145, 189, 231?
-v**2 + 51*v + 1
What is the c'th term of -1075, -1076, -1077, -1078, -1079, -1080?
-c - 1074
What is the g'th term of -333, -334, -343, -366, -409, -478, -579, -718?
-g**3 + 2*g**2 - 334
What is the f'th term of 86, 169, 252, 335?
83*f + 3
What is the a'th term of 0, 7, 12, 9, -8, -45?
-a**3 + 5*a**2 - a - 3
What is the o'th term | {
"pile_set_name": "DM Mathematics"
} |
(-9).
-1/6
Evaluate (0*3/(-9))/((-4)/2).
0
Calculate 15/(-225)*5*-1.
1/3
What is the value of ((-8)/5)/(100/(-125))?
2
((-20)/10)/(6/(-45)*-3)
-5
What is ((-48)/(-128))/((-2)/2*3)?
-1/8
Calculate (9/6)/(41/(-246)).
-9
What is the value of ((-4)/(-42))/(-1*(-4)/(-24))?
-4/7
8/2*(6/5)/(-6)
-4/5
(32/(-16))/((-2)/(-8))
-8
(-5)/(-15)*(-24)/(-6)
4/3
What is (6/252)/(1/6)?
1/7
What is the value of (-5)/(5/(-2))*(-23)/276?
-1/6
Calculate (42/7)/(-6)*20/4.
-5
What is 5*4/(-400)*(-10)/(-4)?
-1/8
What is 136/85*5/2?
4
3/(36/(-4))*48/(-136)
2/17
Calculate (-9)/2*22/(-561)*-34.
-6
(1/(-9))/(-4*3/54)
1/2
What is ((-1)/(-4))/(95/1140)?
3
Calculate 5*8/(1120/21).
3/4
Calculate 9*8/108*(-10)/8.
-5/6
What is (1/(-18))/((-3)/9)*2?
1/3
(174/203)/(7/((-147)/24))
-3/4
What is the value of (-2450)/(-1960)*(-3)/(3/4)?
-5
What is ((-8)/20)/(-2*1/(-10))?
-2
What is ((-24)/56)/((-30)/7)?
1/10
Calculate 2/(56/(-4))*7/(-2).
1/2
Evaluate (-1)/((-30)/70)*2/42.
1/9
What is the value of (6/16*(-2)/(-3))/(-1)?
-1/4
Evaluate -5*(-11)/(-176)*-8.
5/2
Evaluate 1/(-1)*3/(-21).
1/7
Evaluate (-8)/(-4)*65/(-26).
-5
What is the value of (2/(-5))/((-1)/2)?
4/5
Calculate -11*(-27)/99*(-14)/(-6).
7
Calculate (1/(-1))/((-34)/68).
2
What is the value of (2/2)/1*(-8)/(-20)?
2/5
What is the value of ((-2)/(-42))/(36/(-1176)*-14)?
1/9
Calculate (14/70*10/(-2))/7.
-1/7
What is (45/(-135))/(3/4)?
-4/9
What is the value of 2/7*(-49)/(-42)*-2?
-2/3
Calculate ((-6)/(-2))/((510/(-40))/(-17)).
4
What is (-3)/(-1*18)*-4?
-2/3
(5/(-5)*4)/1
-4
Evaluate (-60)/(-25)*50/20.
6
Calculate ((-2)/12)/(2*(-1)/3).
1/4
What is the value of (4/(4/(-2)*1))/(-2)?
1
Evaluate ((676/(-585))/26)/(2/(-10)).
2/9
Evaluate (-15)/(-6)*(-6)/(-3).
5
What is ((1*-4)/4)/(1/(-5))?
5
What is the value of (-4*(-10)/(-32))/(-5)?
1/4
1/(-3)*(-138)/(-23)
-2
What is ((-60)/(-100))/((-2)/(-30))?
9
What is (3*3/12)/(495/120)?
2/11
What is the value of (-4)/((7*6/42)/(-1))?
4
What is the value of 7/(-2)*(-44)/154?
1
What is the value of (45/3)/(24/8)?
5
What is the value of 0/((-32)/8)*-1?
0
((-3)/54)/((-2)/8)*3
2/3
What is the value of ((45/10)/9)/((-5)/10)?
-1
Evaluate -2*5*5/50.
-1
What is (-4)/10*(-15)/24?
1/4
What is (((-112)/(-63))/4)/4?
1/9
What is (36/(-8))/((-312)/(-32))?
-6/13
((-8)/2)/((-100)/(-50))
-2
Evaluate 1/(-4)*-2*2.
1
Evaluate (1*8)/(73/(-73)).
-8
((-34)/(-102))/(1*(-1)/(-15))
5
What is (32/28)/((-56)/(-28))?
4/7
Calculate ((-6)/15)/(-4*(-1)/(-30)).
3
Calculate -4*(-1)/8*0/2.
0
Calculate (((-9)/7)/(-9))/((-5)/(-10)).
2/7
Evaluate (2/9*-3)/((-48)/16).
2/9
What is (-4)/70*(-85)/(-17)?
-2/7
What is the value of (-3)/(-18)*4*-3?
-2
(-4)/(-2)*(-15)/(-10)
3
What is (-3)/(-3)*(90/5)/6?
3
What is the value of (4/8)/(((-6)/3)/(-1))?
1/4
(-12)/(-10)*(-2)/(-28)*-10
-6/7
Evaluate (2*(-6)/12)/(-5).
1/5
((-3)/(-2))/((-30)/(-20))
1
What is (6/(-5))/((-44)/(-110))?
-3
Evaluate (-5)/(-75)*5*-3.
-1
35/(-112)*(-2)/(-5)
-1/8
What is the value of (48/8)/((-42)/(-4))?
4/7
Calculate 2*4/112*-4.
-2/7
What is ((-7)/14)/(2/(-8))?
2
What is -3*2*-2*1/4?
3
What is the value of ((-2)/27)/((-100)/225)?
1/6
Calculate 1*(5/20)/1.
1/4
What is the value of 1/5*-9*115/(-23)?
9
Evaluate 1*(-5)/15*1*-12.
4
Calculate (-5*(-5)/(-125))/(3/(-5)).
1/3
What is ((-3)/4)/((-351)/(-78))?
-1/6
What is (-10)/(-8)*(-92)/230*14?
-7
Evaluate ((-17)/51)/((-7)/(-3)).
-1/7
Evaluate -1*((-90)/(-12))/15.
-1/2
What is the value of ((-84)/(-9114))/((-3)/(-21))?
2/31
(273/(-117))/(1/3)
-7
(-1)/(-2)*(6/1)/(-12)
-1/4
Evaluate (-2)/3*(-12)/108.
2/27
What is 2/3*29/(-58)?
-1/3
((-4)/4)/(2/6)
-3
What is ((-3)/13)/((-9)/(-6))?
-2/13
Calculate 2/10*-2*(-260)/52.
2
(-10)/6*(-84)/350
2/5
-10*(15/15)/((-20)/16)
8
What is (3/(-28))/(-18*(-22)/(-462))?
1/8
Calculate ((-7)/(-4))/((-46)/184).
-7
What is the value of (4/10)/(48/(-200))?
-5/3
Calculate (-4)/(-30)*9*5.
6
What is the value of (8/100)/((-2)/(-10)*2)?
1/5
Evaluate ((-1)/(9/6))/(10/(-60)).
4
Calculate 0/(((-2)/(-4))/((-2)/4)).
0
What is (-24)/8*(-4)/126*-6?
-4/7
Evaluate 40/(-12)*(-13)/(-130).
-1/3
Calculate (-30)/(-5)*(-40)/30.
-8
What is ((-8)/(-10))/((-8)/40)?
-4
Calculate 80/((-48)/(-6))*6/(-135).
-4/9
Evaluate ((-6)/3)/(3/3*-1).
2
((-6)/4)/((-69)/(-46))
-1
2*22/(-11)*(-2)/(-4)
-2
Evaluate (16/18)/((-272)/204).
-2/3
What is 1*(-12)/6*(-10)/(-4)?
-5
What is the value of 5*6/60*4/(-5)?
-2/5
(-15)/(-2)*4*(-1)/6
-5
((-8)/42)/(1/(9/(-6)))
2/7
What is the value of (3/20)/(67/134)?
3/10
Evaluate (12/20)/(-3)*(-5)/6.
1/6
Evaluate (3/15)/((-4)/((-36)/(-9))).
-1/5
11/(847/33)*-7
-3
Evaluate (4/8)/((-5)/10).
-1
What is the value of (3/4)/((-48)/(-160))?
5/2
Evaluate (-8)/6*4/48*-3.
1/3
What is the value of -7*19/(9310/(-20))?
2/7
(-8)/6*-10*(-18)/(-48)
5
What is (98/63)/7*3/(-4)?
-1/6
((-3)/44)/((-1)/(40/(-5)))
-6/11
Calculate (-2)/((-16)/(-32)*(-36)/(-1)).
-1/9
What is 15/(-3)*-1*(-3)/5?
-3
Calculate ((-6)/9)/((-48)/(-18)).
-1/4
3/(1/(-48)*-4*9)
4
((-5)/(-2))/(315/(-210))
-5/3
What is 2/7*(-49)/(-84)?
1/6
Evaluate (3/(-3))/(238/136).
-4/7
Calculate ((-2)/(-1))/(140/70).
1
What is the value of 1/(-2)*(0/12)/3?
0
Evaluate -10*(-4)/180*-6.
-4/3
What is (-6*(-7)/(-126))/((-1)/3)?
1
What is (((-442)/52)/17)/(14/4)?
-1/7
What is the value of 9/(-12)*(-4)/(-9)?
-1/3
Evaluate 2*(-3)/(-3)*(-80)/40.
-4
What is the value of -2*14/70*50/4?
-5
27/(270/(-40))*-1
4
What is (-4)/(6/(-2)*(-2)/(-3))?
2
Calculate 1*(-10)/320*4.
-1/8
Evaluate (7/((-28)/20))/(-1).
5
What is the value of 308/(330/(-15))*2/20?
-7/5
(0/(-23))/(2*2/2)
0
Calculate 1*1*-1*(-6)/(-6).
-1
Calculate (-6)/9*(-3)/10.
1/5
1/(-15*(-6)/(-12))
-2/15
8/2*4*5/80
1
What is the value of (3/(-15))/((-2)/24*-2)?
-6/5
Calculate ((-4)/(-4)*-5)/(-1).
5
What is 5*-2*7/14?
-5
What is the value of 1/((-24)/(-32)*2*6)?
1/9
What is ((-4)/5)/((-1)/(15/114))?
2/19
0/(-2)*(-4)/(-60)*5
0
(-21)/(-196)*-7*(-3)/(-6)
-3/8
(20/30)/(2*-1)
-1/3
What is the value of ((-1)/((-18)/(-27)))/6?
-1/4
Calculate (64/64)/(1/(-8)).
-8
Evaluate (4/75)/(222/(-555)).
-2/15
14*4/8*(-12)/(-42)
2
Calculate ((-2)/(-4))/(3/(-12)).
-2
Calculate (-6*(-1)/(-9))/(2/24).
-8
Calculate ((-3)/5)/((-171)/38).
2/15
Evaluate (-112)/980*(-5)/((-20)/(-28)).
4/5
(0/(-10))/((-5)/5)
0
Evaluate (48/40)/((8/5)/4).
3
(26/117)/((-2)/(-54)*3)
2
Calculate (-14)/7*(-1)/8*1.
1/4
Evaluate (6/(-3))/((-4)/6).
3
Evaluate (-3*1)/((2430/36)/(-5)).
2/9
Evaluate (4/8)/1*(-6)/(-3).
1
What is ((2/1)/6)/((-24)/36)?
-1/2
(2/(-2))/((9/6)/3)
-2
0*7*10/(-140)
0
Calculate (-1*1/1)/(140/(-168)).
6/5
Calculate (-5)/20*10*1*2.
-5
(2/((-12)/(-2)))/((-3)/(-18))
2
Evaluate -21*(1/5)/((-9)/15).
7
Evaluate ((-2)/4)/((-3)/(-2)).
-1/3
Evaluate ((-144)/(-84))/(2/7).
6
What is the value of (15/(675/(-18)))/((-3)/(-30))?
-4
(-1)/2*(-24)/(-90)
-2/15
What is the value of ((0/(-1))/2)/1?
0
((-2)/85)/((-17)/85)
2/17
What is the value of (-10*(-1)/8)/((-16)/(-64))?
5
What is (22/(-385))/((-1)/15)?
6/7
What is (-30)/75*(-15)/(-6)?
-1
What is the value of 2/(-7*12/6)?
-1/7
Calculate 3/4*-12*(-20)/630.
2/7
What is (-24)/9*(-6)/(-4)?
-4
Evaluate 23/161*(-8)/(-4).
2/7
1/(((-18)/(-2))/63)
7
Calculate ((-9)/(54/15))/((-1)/4).
10
Calculate 0/((234/6)/(-13)).
0
((-28)/(-245))/((-3)/(-15))
4/7
What is the value of ((0/14)/(4/(-2)))/1?
0
Calculate ((-4)/(-10)*-3)/((-135)/(-900)).
-8
Calculate (3/(-2))/((-36)/(-48)).
-2
What is ((-3)/1)/(15/3)?
-3/5
((-8)/((-1800)/27))/(2/10)
3/5
(-2*(-2)/(-4))/((-3)/(-3))
-1
What is the value of 3/(-15)*10/6?
-1/3
Calculate ((-6)/10)/((-1)/10).
6
What is (5/15)/((-9)/6)?
-2/9
Calculate ((-295)/59)/(10/(-2)).
1
What is the value of (2/(-7))/(-2)*2?
2/7
What is the value of 36/(-72)*(-2)/(-2)?
-1/2
Evaluate (-39)/6*(-13)/((-2535)/(-15)).
1/2
What is the value of 7/(14/(-3))*-2?
3
What is the value of ((-183)/(-244))/(15/(-16))?
-4/5
What is the value of (-2)/(2*6/36)?
-6
What is the value of 37/(185/(-60))*(-1)/(-4)?
-3
Calculate (2/(-12))/(127/1778).
-7/3
What is the value of (81/(-90))/(6/(-4))?
3/5
Calculate (11/(-99)*1)/((-1)/(-3)).
-1/3
Calculate (39/26)/(78/(-8)).
-2/13
(3/12*3)/(9/(-8))
-2/3
Evaluate (-4)/4*32/(-8).
4
Calculate (-6)/((-72)/(-6))*2.
-1
((-27)/(-12))/1*(-52)/(-39)
3
1/2*(-10)/9*-9
5
What is 1/(-2)*-4*3/(-36)?
-1/6
Evaluate (4/12)/((-5)/45).
-3
What is (9/(-14))/((-18)/21)?
3/4
2/(-10)*3*2/9
-2/15
Calculate 84/12*(-2)/(-35).
2/5
What is the valu | {
"pile_set_name": "DM Mathematics"
} |
*m(w) + n*x(w)?
-3*w
Let o(i) = -3*i - 5 + 7 - i + i + i. Let w(q) = -3*q + 1. What is 3*o(y) - 4*w(y)?
6*y + 2
Let y(s) = -3*s**2 + 2*s - 1. Let r = 23 + -21. Suppose -5*q + r = 7. Let t(a) = a**2 + 1. Determine q*y(u) - 2*t(u).
u**2 - 2*u - 1
Let b(l) = -5*l**3 + 9*l - 6. Let d(x) be the first derivative of -16 + 0*x**3 - 7/2*x**4 + 13*x**2 - 17*x. Determine -17*b(a) + 6*d(a).
a**3 + 3*a
Let q(m) = -m + 1. Let p(f) = 2*f + 3. Let a be p(-2). Let x be (-4 + a)*(-1)/(-1). Let t = x + 3. Let d(s) = -5*s + 4. Calculate t*d(y) + 9*q(y).
y + 1
Let v(n) = n**2 + n + 1. Let y be (7/4 - 2)*4/1. Let f(h) = 1. Calculate y*v(l) + 3*f(l).
-l**2 - l + 2
Let r(k) = 4*k**3 - 5*k**2 - 5. Let i(z) = 12*z**3 - 16*z**2 - 16. Let f(h) = -2*h**3 + 34*h**2 + 37*h - 34. Let o be f(18). Calculate o*r(p) + 5*i(p).
-4*p**3
Let v(f) be the first derivative of f**2/2 + f - 67. Let a(y) = -40*y - 36. Calculate 2*a(u) + 72*v(u).
-8*u
Suppose -2*v - 14 = -2*i, 10*v - 11*v = -2. Let m(q) = 7*q**3 + 5*q**2 - 3*q**2 + 9*q + 7*q**2. Let c(l) = 3*l**3 + 4*l**2 + 4*l. Give i*c(a) - 4*m(a).
-a**3
Let b(f) = -f + 1. Suppose -2*h - 12 = 5*i, -104*i = 2*h - 101*i + 4. Let r(t) = 5*t + 4. Calculate h*b(d) + r(d).
d + 8
Let g(l) = -5*l + 2. Let v = -24 - -27. Let a(s) = 0*s + 12*s - v*s - 3. What is -3*a(z) - 5*g(z)?
-2*z - 1
Let d(a) = 4*a**2 + 7. Let x(p) = p**2 + 2. Let n be 14 + -3 - (-15)/(-3). Give n*d(c) - 21*x(c).
3*c**2
Let r(l) = 112*l - 49. Let k(o) be the second derivative of -7*o**3/3 + 3*o**2 + 43*o. What is 49*k(j) + 6*r(j)?
-14*j
Let v be 33 + -2 + (-14)/(-1). Let j(d) = 54*d. Let z(a) = -a. Determine v*z(q) + j(q).
9*q
Let r(d) = 3*d**3 + 2*d - 1. Let f(g) = 3*g**3 - 5*g**2 - 20*g + 2. Let z(q) = -q**3 + 4*q**2 + 17*q - 2. Let p(l) = -4*f(l) - 5*z(l). What is 4*p(o) + 10*r(o)?
2*o**3 - 2
Let m = -5 - 0. Let k(t) = -7*t**2 - 5. Let x(v) be the first derivative of -v**3 - 2*v + 84. What is m*x(s) + 2*k(s)?
s**2
Let l(t) be the first derivative of -9*t**4/4 + 7*t**3/3 - 2*t**2 - 333. Let i(b) = -5*b**3 + 4*b**2 - 2*b. Calculate 5*i(c) - 3*l(c).
2*c**3 - c**2 + 2*c
Let t(v) = 118*v**2 - 4*v - 4. Let j(b) = -16165*b**2 + 549*b + 549. Calculate -4*j(w) - 549*t(w).
-122*w**2
Suppose 0 = -4*n + 8, -5*w - 4*n + 5 = n. Let t(a) = 2*a - 1 - 3*a + 0*a. Let q(v) = v + 1. Determine w*q(j) - 2*t(j).
j + 1
Let b(z) = 2209*z**2 - 7*z - 7. Let n(w) = -1104*w**2 + 4*w + 4. Give 4*b(x) + 7*n(x).
1108*x**2
Let h(q) = -4*q**2 + 3. Let p(o) = -o**2 - 18*o + 7. Let m(f) = -f**2 - 21*f + 8. Let y(s) = -6*m(s) + 7*p(s). Calculate -h(u) + 5*y(u).
-u**2 + 2
Let v(a) = 5*a**3 - 4*a**2 + 8*a. Let i(c) be the second derivative of 11*c**5/20 - 3*c**4/4 + 17*c**3/6 - 83*c. Give 4*i(o) - 9*v(o).
-o**3 - 4*o
Let i(v) = -2975*v**2 + 1050*v. Let w(d) = -3*d**2 + d. Calculate i(s) - 1050*w(s).
175*s**2
Let y(t) = 2*t**3 - 2*t - 5. Let b be 5 + -4 - (-8)/(-2). Let r(m) be the second derivative of -m**5/10 + m**3/2 + 3*m**2 + m + 1. Calculate b*y(k) - 2*r(k).
-2*k**3 + 3
Let z(s) = -406 + 221 - s + 196. Let a(y) = -1. What is -22*a(i) - 2*z(i)?
2*i
Suppose -2*n = -4*h, -4*n + 7 - 43 = 4*h. Let f(a) = -15*a**2 - 6*a + 6. Let j(b) = -29*b**2 - 11*b + 11. Determine n*j(r) + 11*f(r).
9*r**2
Let l(d) = -3*d**3 + 34*d**2 - 4*d + 2. Let s(z) = -7*z**3 + 66*z**2 - 9*z + 5. Give -5*l(f) + 2*s(f).
f**3 - 38*f**2 + 2*f
Let n(f) be the second derivative of -133*f**3/6 - 49*f**2/2 - 8*f. Let w(i) = -11*i - 4. Give -4*n(l) + 49*w(l).
-7*l
Let x(t) = -1359*t - 1. Let a(r) = 1. What is a(z) + x(z)?
-1359*z
Let x(h) = -h**3 + 6*h + 1. Let o be x(-2). Let n(y) = -y**2 - 8*y + 3. Let j(k) = k**2 + 4*k - 2. Determine o*n(i) - 5*j(i).
-2*i**2 + 4*i + 1
Let j(l) be the second derivative of l**4/3 + 5*l**3/6 + 2*l**2 + l + 9. Let h(s) = 3*s**2 + 4*s + 3. Calculate -6*h(c) + 4*j(c).
-2*c**2 - 4*c - 2
Let j(r) = r. Suppose -10 = -4*d + 10, -2*k + 5*d - 19 = 0. Suppose 3*o + 5*a = 0, k*a - 2*a = -o. Let l(q) = o*q + q - 2*q. Calculate 3*j(f) + 6*l(f).
-3*f
Let w(m) = -5*m - 3. Let l(y) = 6*y + 3. Let k(j) = 68*j - 473. Let v be k(7). Calculate v*l(g) + 4*w(g).
-2*g - 3
Let d(h) = 3*h**3 + 5*h + 10. Let c(a) = -4*a**3 - 5*a - 8. What is 5*c(i) + 4*d(i)?
-8*i**3 - 5*i
Let r(d) = -4*d**2 - 30*d - 13. Let i(f) = 2*f**2 + 15*f + 5. Calculate -9*i(w) - 4*r(w).
-2*w**2 - 15*w + 7
Let y(l) = -4*l**2 + 2*l - 3. Suppose 0 = -6*s + 3*s + 6. Let g(j) = 6*j**s + 4*j**2 - 1 - 11*j**2. Determine -3*g(i) + y(i).
-i**2 + 2*i
Let o(c) = c**3 - 2*c**2 + 2*c + 5. Let w(i) = i**3 - i**2 + 2*i + 4. What is 2*o(v) - 3*w(v)?
-v**3 - v**2 - 2*v - 2
Let d = -663 + 637. Let u(b) = -5*b**3 - b**2 - 3. Let j(w) = 21*w**3 + 4*w**2 + 13. Give d*u(c) - 6*j(c).
4*c**3 + 2*c**2
Let i(j) be the second derivative of -2*j**5/5 + 2*j**4/3 - 9*j**2/2 + 4*j. Let r(q) = 15*q**3 + 17 + 9*q**2 - 23*q**2 - q**2. Calculate 11*i(c) + 6*r(c).
2*c**3 - 2*c**2 + 3
Let c(w) = 442586*w**3 + 8582*w. Let q(a) = 619*a**3 + 12*a. Determine 6*c(u) - 4291*q(u).
-613*u**3
Let u(n) be the first derivative of 2*n**3 - 17 - 3/2*n**2 + 6*n. Let m(b) = -2*b**2 + b - 2. What is 17*m(f) + 6*u(f)?
2*f**2 - f + 2
Let a(t) = -2*t + t - 3 - 3 + 5. Let x(l) = 2*l - 3. What is -2*a(y) + x(y)?
4*y - 1
Let y(a) = -a**3 + a**2. Let x(u) be the first derivative of -7/4*u**4 + 3 + u**3 + 0*u**2 - 3*u. Let f be -1 + -8*((-9)/4 - -2). What is f*x(p) - 5*y(p)?
-2*p**3 - 2*p**2 - 3
Let b(r) = -2*r**2 + 4*r. Let q be 4 + -2 + 6 - 3. Let g(m) = -4*m**2 - 17*m + 14*m + q*m**2. Give -3*b(c) - 4*g(c).
2*c**2
Let j(p) = -105*p**3 + 25*p**2. Suppose -3*r + 9*d - 4*d = -6, 0 = 5*d + 15. Let h(n) = -13*n**3 + 3*n**2. Give r*j(c) + 25*h(c).
-10*c**3
Let m(l) = -30*l**2 - 3*l + 4. Let x(u) = 30*u**2 + 4*u - 5. Give 4*m(h) + 3*x(h).
-30*h**2 + 1
Let t(m) = -7*m**2 + 4*m + 2. Let q = -764 - -767. Let r(s) be the first derivative of s - 4/3*s**q + 7 + s**2. Calculate 5*r(i) - 3*t(i).
i**2 - 2*i - 1
Let p(l) be the first derivative of l**2/2 + 10*l - 3. Let c be p(-7). Let h(f) = c - 9 + 4. Let i(s) = s**2 + s + 18. Give -18*h(d) - 2*i(d).
-2*d**2 - 2*d
Suppose -a - 3 = 5. Let w(r) = -8 - 4*r**2 + 10*r**2 - 10*r**2 + 0*r**2. Let y(t) = -t**2 - 3. Calculate a*y(f) + 3*w(f).
-4*f**2
Let s(h) = -7*h**2 - 156*h + 2. Let q(m) = 24*m**2 + 467*m - 7. Determine 4*q(t) + 14*s(t).
-2*t**2 - 316*t
Let m(u) be the third derivative of 7*u**4/24 - 4*u**3/3 + u**2. Suppose -37 = 10*y + 23. Let s(v) = 3*v - 2*v + 0*v - 1. Calculate y*s(d) + m(d).
d - 2
Let s(w) = 2 + 24 - w - 22. Let m(z) = -1. Give -2*m(n) - s(n).
n - 2
Let h(t) be the second derivative of t**5/20 - t**4/8 + 6*t**2 - 2*t. Let f(v) be the first derivative of h(v). Let z(c) = -6*c**2 + 5*c. Give -5*f(n) - 3*z(n).
3*n**2
Let f(y) = -169*y. Let p(l) = 10*l. Suppose -2*s = d + 9, 0 = 5*d + s - 19 + 37. What is d*f(o) - 52*p(o)?
-13*o
Let a(q) = 11*q**2 - 148*q - 17. Let m(c) = 5*c**2 - 75*c - 8. Give 6*a(h) - 13*m(h).
h**2 + 87*h + 2
Let n(b) = -b**2 + 8*b + 2. Let r(m) = -2*m. Determine -n(y) + 4*r(y).
y**2 - 16*y - 2
Let w(f) = 14*f + 38. Let k(j) = j - 1. What is -5*k(y) - w(y)?
-19*y - 33
Let j(p) be the first derivative of -p**3 + 2*p**2 - 4. Let y(b) be the second derivative of -b**4/3 + 5*b**3/6 + 6*b. Determine -5*j(d) + 4*y(d).
-d**2
Let k(c) = 2544*c - 10. Let q(i) = -1273*i + 4. Calculate -2*k(f) - 5*q(f).
1277*f
Let o(z) = -1. Let u(n) = -n + 7. Let j(k) = -6*o(k) - u(k). Let s(h) = -4*h - 4. Calculate 4*j(i) - s(i).
8*i
Let f(d) = -11*d + 3. Let o(r) = 210*r - 56. Let q = -1378 + 1381. Calculate q*o(g) + 56*f(g).
14*g
Let t(x) = -81*x**3 + 33*x**2 + 33*x + 33. Let j be (22/(-3))/(6/(-27)). Let y(n) = -5*n**3 + 2*n**2 + 2*n + 2. Determine j*y(q) - 2*t(q).
-3*q**3
Let n(x) = -x**2 - 1. Let k(i) = i**3 + 2*i**2 + 2. Let v(y) = -y**3 + 9*y**2 - 26*y + 49. Let r be v(6). Calculate r*k(w) + 2*n(w).
w**3
Suppose 3*b - 36 = 5*y, 0 = -b - 5*y - 10 + 2. Let r(h) = -2*h**3 + 29 - b*h - 34 - h**3. Let w(d) = -5*d**3 - 11*d - 8. Determine 8*r(o) - 5*w(o).
o**3 - o
Suppose 3*y - 2*c - 4 = -2*y, -4*c - 8 = -4*y. Suppose 5*q = -5 - y. Let m(f) = -f**2 + 1. Let j(a) = 8*a**2 - a - 6. Give q*j(l) - 6*m(l).
-2*l**2 + l
Let f(c) = 1 + 14*c - 5*c**2 + 2*c**2 + 4*c**2 - 4 - 3*c**2. Let l(j) = -4*j - 3*j + j**2 - 2*j + 2. Give -5*f(x) - 8*l(x).
2*x**2 + 2*x - 1
Let g(d) = -6*d**2 + d | {
"pile_set_name": "DM Mathematics"
} |
m
Collect the terms in 2*u**3 - u + u**3 + 3310 - 3*u - 3078.
3*u**3 - 4*u + 232
Collect the terms in -3*f - 2066030*f**3 + 2045921*f**3 + 3*f.
-20109*f**3
Collect the terms in -1217*h**2 - 1257*h**2 - 1202*h**2 - 1214*h**2 + 6106*h**2 - 1214*h**2.
2*h**2
Collect the terms in 3469 - 7199*n - 126*n - 3469.
-7325*n
Collect the terms in 51159082 + 1481*d**2 - 51159082.
1481*d**2
Collect the terms in -19*s**3 + 182*s**3 + 1545*s**2 - 3091*s**2 + 1546*s**2.
163*s**3
Collect the terms in 70258830*z + 70258784*z - 140517613*z.
z
Collect the terms in 82 + 47 - 105 + 48*a - 51*a.
-3*a + 24
Collect the terms in 4031642*p - 6 + 6 - 2015838*p - 2015825*p.
-21*p
Collect the terms in -4948431*n**3 - 4948390*n**3 + 9896809*n**3.
-12*n**3
Collect the terms in 158 - 257949*y + 155 - 313.
-257949*y
Collect the terms in 37824*q + 1 + 51859*q + 223107*q + 1345*q.
314135*q + 1
Collect the terms in -375*d + 4*d**3 + 30958 + 2*d**3 - 30958.
6*d**3 - 375*d
Collect the terms in 5*j - 485*j - 281*j + 15*j - 17*j.
-763*j
Collect the terms in 93*y**2 + 130*y**2 + 92*y**2 - 184*y**2 + 2*y - y.
131*y**2 + y
Collect the terms in -3632984*s**2 + 7265788*s**2 - 3632801*s**2.
3*s**2
Collect the terms in 558*v - 14 + 567*v - 14 - 1129*v - 21.
-4*v - 49
Collect the terms in -2*b**2 - 13741*b + 6*b**2 - 12937*b - 15 + 14 - 6*b**2.
-2*b**2 - 26678*b - 1
Collect the terms in 12 + 150*p - 105*p**3 - 3 - 51*p**3 - 34*p**3.
-190*p**3 + 150*p + 9
Collect the terms in 162*g**2 + 86374665*g**3 - 79*g**2 - 86374666*g**3 - 83*g**2.
-g**3
Collect the terms in 2*h**2 - 14*h**2 - 45187585*h + 45187582*h.
-12*h**2 - 3*h
Collect the terms in -6481*f + 2183*f + 2203*f + 2161*f.
66*f
Collect the terms in -610248588248*z**2 + 338*z**3 + 610248588248*z**2.
338*z**3
Collect the terms in 15566784 + 6408*g - 15566784.
6408*g
Collect the terms in c - 206616 + 257729 - 990015.
c - 938902
Collect the terms in -1377*k**3 + 107 + 108 + 698*k**3 - 215 + 675*k**3.
-4*k**3
Collect the terms in 644336091131 + 68*s - 644336091131.
68*s
Collect the terms in 9*y - 5*y + 99181 + 12*y.
16*y + 99181
Collect the terms in 281251*i**2 + 439*i**3 - 281252*i**2 + 1112*i**3.
1551*i**3 - i**2
Collect the terms in -6*p + 61*p - 17*p + 28*p - 55*p - 4*p.
7*p
Collect the terms in 1173180*a**3 + 187331*a**3 - 6097179*a**3.
-4736668*a**3
Collect the terms in -142467*n - 2*n**3 - 10*n**3 + 11*n**3.
-n**3 - 142467*n
Collect the terms in 13929407*d - 27858800*d + 13929326*d + 2.
-67*d + 2
Collect the terms in 2*c + 697 + 616 - 40 - 2*c + c**2.
c**2 + 1273
Collect the terms in 0*g**2 + 2*g**2 + 86931*g**3 - 86933*g**3 + 3385.
-2*g**3 + 2*g**2 + 3385
Collect the terms in -5473*i**2 - 3*i**3 - 5408*i**2 + 11016*i**2 - i**3.
-4*i**3 + 135*i**2
Collect the terms in 3 + 59*m**3 - 666089*m**2 + 666073*m**2 - 9*m**3.
50*m**3 - 16*m**2 + 3
Collect the terms in 1376*x + 9907*x + 1151*x + 5851*x + 5649*x + 2.
23934*x + 2
Collect the terms in -89 - 91 - 10720056*u + 180 - u**3 + 10720056*u.
-u**3
Collect the terms in 115296 + 121*p**2 - 115296 + 124*p**2 + 22*p**2.
267*p**2
Collect the terms in 96331 - 96331 - 19088*q.
-19088*q
Collect the terms in -3*x**3 - 3*x - 76*x**2 - 243*x**2 + 319*x**2 + 3*x - 4*x**3.
-7*x**3
Collect the terms in 3 - 10199348*i**2 + 0 + 10199335*i**2.
-13*i**2 + 3
Collect the terms in 21*w + 18*w + 16*w - 98*w + 8*w.
-35*w
Collect the terms in -148*g**2 + 608*g**2 - 156*g**2 + 152*g**3 + 2*g - 156*g**2 - 148*g**2.
152*g**3 + 2*g
Collect the terms in 3*h - 31*h + 29454 - 7*h.
-35*h + 29454
Collect the terms in -70*h**2 - 63*h**2 + 298*h**2 - 83*h**2 - 67*h**2.
15*h**2
Collect the terms in -20*a + 114 + 22*a - 328*a**3 + 30 + 4*a**2.
-328*a**3 + 4*a**2 + 2*a + 144
Collect the terms in -9229*t - 2*t**2 + 4654*t + 4980*t.
-2*t**2 + 405*t
Collect the terms in -1123*v + 1123*v - 21129*v**3.
-21129*v**3
Collect the terms in 14050716*k**2 + 14051038*k**2 - 28101753*k**2.
k**2
Collect the terms in 4 - 24484*j - 24 + 12 + 10.
-24484*j + 2
Collect the terms in -8 - 7 - 919*d + 17 - 2 + 0.
-919*d
Collect the terms in -210 + 51 + 3*f**3 - 469*f + 469*f.
3*f**3 - 159
Collect the terms in 37*l**3 - 3*l + 2*l + 90*l**3 - 3*l**2 - 22*l**3.
105*l**3 - 3*l**2 - l
Collect the terms in -17332*a**2 - 18368*a**2 + 35709*a**2 + 4.
9*a**2 + 4
Collect the terms in -4*l + 4*l + 10554*l**2 + 3051*l**2.
13605*l**2
Collect the terms in -13674*h + 7892*h - 1 + 7188*h.
1406*h - 1
Collect the terms in 2977879*q**3 + 2977933*q**3 - 5955792*q**3.
20*q**3
Collect the terms in 85 - 95 - 28*a - 3*a + 12.
-31*a + 2
Collect the terms in 489*a - 621*a**2 + 1867*a**2 - 627*a**2 + 493*a - 617*a**2 - 982*a.
2*a**2
Collect the terms in -408651*g + 121 - 17759*g - 121.
-426410*g
Collect the terms in -208945*o**2 - 208980*o**2 + 417801*o**2.
-124*o**2
Collect the terms in 620*y**3 - 313*y**3 + 1066*y**3.
1373*y**3
Collect the terms in -19*w**3 - 2*w**3 + 5*w**3 + 546*w - 546*w + 46*w**3.
30*w**3
Collect the terms in 120*j**3 + 991 + 946*j**3 - 990.
1066*j**3 + 1
Collect the terms in -5 + 7*s**2 + 2 + 2 - 12 - 15*s**2.
-8*s**2 - 13
Collect the terms in -99 + 32 + 36 + 29 - 258*p - 11*p.
-269*p - 2
Collect the terms in 42 - 11036*s**2 - 42 - 98944*s**2.
-109980*s**2
Collect the terms in -811490005*f + 24 + 811490005*f - 15 + 8*f**2.
8*f**2 + 9
Collect the terms in -11741*d**3 + 35300*d**3 - 11703*d**3 - d**2 - 11757*d**3 + d**2.
99*d**3
Collect the terms in -12*q - 12*q + 16*q - 4156 - 23*q.
-31*q - 4156
Collect the terms in 21 + 17*h + 2 - 7*h + 0*h + 0*h + 2*h**2.
2*h**2 + 10*h + 23
Collect the terms in -11*u + 5 - 184 - 64 - 82 + 27.
-11*u - 298
Collect the terms in 4245*k - 12622*k + 4194*k + 4179*k.
-4*k
Collect the terms in 106*k + 108*k + 120*k + 1632*k**3 + 112*k - 446*k.
1632*k**3
Collect the terms in -6138*b + 785*b - 223 + 454 - 231.
-5353*b
Collect the terms in a**2 - 293961*a + 587930*a - 293970*a.
a**2 - a
Collect the terms in -318 + 32*r + 84 + 79 + 81 + 74.
32*r
Collect the terms in -15810*f**3 + 3946*f**3 + 3944*f**3 + 3972*f**3 + 3945*f**3 - 7*f**2 + 7*f**2.
-3*f**3
Collect the terms in -72*l**2 - 3*l - 65*l + l + 148*l**2 - 30*l - 74*l**2.
2*l**2 - 97*l
Collect the terms in -96*m - 98*m - 100*m - 96*m + 565*m - 165*m.
10*m
Collect the terms in 212610*u**2 - 106267*u**2 - 106338*u**2.
5*u**2
Collect the terms in -155 + 385 + 470*j + 236.
470*j + 466
Collect the terms in -55670 + 14*f - 55625 - f + 20*f + 111295.
33*f
Collect the terms in -82*h**2 + 0 - 15631*h + 15631*h + 0.
-82*h**2
Collect the terms in -6540888*b**2 - 6540887*b**2 + 19622671*b**2 - 6540884*b**2.
12*b**2
Collect the terms in 0 - 1 - 1096*k**3 - 5*k + 1 + 1132*k**3.
36*k**3 - 5*k
Collect the terms in -26*w - 110808 + 60*w + 29*w + 110808.
63*w
Collect the terms in -3*u**2 - 924484*u + 462254*u + 462230*u + 2*u**2 - u**2.
-2*u**2
Collect the terms in -8*z**3 + 107*z**3 + 481*z + 426*z - 907*z.
99*z**3
Collect the terms in 766033*l + 765963*l - 1526985*l.
5011*l
Collect the terms in 8*z - 6*z - 752 - 847 - 497.
2*z - 2096
Collect the terms in 1412 + 33*t**2 - 1270 - 142.
33*t**2
Collect the terms in -5 + 1 + 4 + 38699895*g**2.
38699895*g**2
Collect the terms in -619 - 597 + 6623*q**2 + 1216.
6623*q**2
Collect the terms in 928149 + 928249 - 4*v - 1856398 + 16*v**2.
16*v**2 - 4*v
Collect the terms in 504749 - 504749 - 93*n.
-93*n
Collect the terms in -284*l**3 + 0*l**2 - 3*l**2 + 554*l**3 - 135*l**3 - 132*l**3.
3*l**3 - 3*l**2
Collect the terms in 29 + 1208*h + 2721*h + 14*h.
3943*h + 29
Collect the terms in -3287*q + 1611*q + 1859*q.
183*q
Collect the terms in 20*u**2 - 18*u**2 + 3157139 - 1578571 - u**2 - 1578568.
u**2
Collect the terms in 848042*p**2 - 112267*p**2 + 390772*p**2 + 515069*p**2.
1641616*p**2
Collect the terms in 34916*r**3 - 21178*r**3 - 13727*r**3.
11*r**3
Collect the terms in 188*j**3 + 21*j**2 + 10*j**2 - 189*j**3 + 6*j**2.
-j**3 + 37*j**2
Collect the terms in -221902*u + 221902*u + 366*u**2.
366*u**2
Collect the terms in 190559*b - 488206*b - 630774*b.
-928421*b
Collect the terms in -2249*h - 2249*h + 8977*h - 2239*h - 2245*h.
-5*h
Collect the terms in -9631 + 28900 - 9639 + 1279*g - 9632.
1279*g - 2
Collect the terms in -128*t**2 + 2955*t**3 + 126*t**2 - 5899*t**3 + 2954*t**3.
10*t**3 - 2*t**2
Collect the terms in -26 + 42 - 15 - 5*s + 31 - 12 - 19.
-5*s + 1
| {
"pile_set_name": "DM Mathematics"
} |
x, -2*s = 3*k + 11. Is 2 bigger than s?
False
Let r(c) = -c**3 + c**2. Let f(u) = -3*u**2 + 2*u - 1. Let m(l) = -f(l) - 3*r(l). Let b be m(1). Which is greater: b or 3?
3
Suppose 2*p = 3*p - 4. Suppose -3*v - p = t, -v = v + 2*t + 4. Which is greater: -2/13 or v?
-2/13
Let j be 70/40*96/10. Are j and 17 nonequal?
True
Let x = 1/133 - 3/38. Let n = 20 - 19. Do x and n have the same value?
False
Let v = -1 + 1. Let d = 253 - 1261/5. Which is greater: d or v?
d
Let u be (13 + -14)*(-3 - 1). Suppose -2*f + 8 = -u*f. Is -5 >= f?
False
Suppose -12 = -4*z + 2*c, -3*z + 2*c = -5*z + 12. Let x(q) = -q + 1. Let y be x(z). Suppose -1 - 3 = 2*v. Which is greater: y or v?
v
Let x be (3/(-4))/((-3)/12). Let g = 5 - x. Is 3/2 >= g?
False
Let s = -0.02 - -1.02. Let t = -2 - 0. Which is bigger: s or t?
s
Suppose -60 = -c - 3*c. Let t be 6/c - 39/60. Is 1 at most t?
False
Let q = 2 - -9. Let g be (1 + -2)*-3 + -3. Which is greater: q or g?
q
Let s be (3 - 2)/((-2)/(-4)). Suppose s*v + 1 = -3. Which is smaller: -1 or v?
v
Let c = -4.4 - 3.7. Let w = 8 + c. Is w at least -4?
True
Let p(x) = x**3 + 4*x**2 - x - 4. Let w be p(-4). Is w greater than -1/3?
True
Let n be 26/(-30) - (-10)/15. Are -0.1 and n unequal?
True
Let p = 8201/5865 + 2/1173. Is p != 1?
True
Let y = 47 + -139/3. Which is smaller: y or -3/10?
-3/10
Let w be (-8)/28 - (-37)/7. Let f be 1/w - (-19)/(-20). Is f at most as big as -1?
False
Let h = 53 - 53.049. Which is bigger: 2/7 or h?
2/7
Let q = 2 + -3. Is q at least -1/13?
False
Let n = -8 - -5. Let i be 5/(-6) - n/6. Let u(r) = -r**2 - 7*r. Let o be u(-7). Which is bigger: i or o?
o
Let h(c) = -c**3 + 2*c - 1. Let k = 1 + 0. Let m be h(k). Suppose 2*a = -3*a + 5*j + 15, -5*a - 3*j - 17 = 0. Which is greater: a or m?
m
Let m(b) = b**3 + 4*b**2 - 3*b + 9. Let t be m(-5). Suppose 0 = -2*n - 2*n - 12. Are t and n equal?
False
Let r = 3 - 2. Let z = -4 - 0. Let q be -1 - z/(48/10). Which is bigger: r or q?
r
Suppose -s - 66 + 61 = 0. Is -3 >= s?
True
Let n(i) = -i**3 - 9*i**2 - i - 9. Let f be n(-9). Let j be (-21)/9 - 2/(-6). Is f smaller than j?
False
Suppose k = -3*u + 6, 2*u - 3*u - 8 = -3*k. Suppose -k*x = -6*x. Which is smaller: 2/5 or x?
x
Let h = -147 - -147.2. Is -0.016 <= h?
True
Let a(c) = 4 - 5*c + 13 + 2*c + 2*c. Let s be a(14). Which is bigger: s or 5?
5
Let i(q) = q**2 - 6*q - 2. Let b be i(6). Let z = -19 + 88/5. Is z greater than or equal to b?
True
Let c be 241/(-5) + 0 + (-60)/(-300). Which is smaller: c or 1?
c
Suppose 3*y + 3*k = -12, 3*y - 2*y - 2 = 2*k. Let j be (y + (2 - 1))*1. Let c be ((-2)/12)/(1/2). Which is bigger: c or j?
c
Let m(c) = c**2 + 8*c + 3. Let p be m(-6). Is -10 at most p?
True
Let k(z) = -z**2 - 7*z + 11. Let y be k(-8). Which is bigger: y or 7/4?
y
Let l = -7 - -2. Let j = 11/2 + l. Let x = -1 + 1.2. Which is smaller: j or x?
x
Let r(m) = -m**3 - 6*m**2 + m + 5. Let f be r(-6). Which is smaller: f or 3?
f
Let s be 12/(-42)*1*-4. Which is smaller: s or 2?
s
Let x = 15.93 - 16. Let u = 55.67 - 52.6. Let m = u + x. Which is bigger: 1 or m?
m
Let c be (0 - -1) + 4 + -3. Suppose -2*l + c = -0. Let q = 1/143 - 23/143. Are l and q nonequal?
True
Let k = -0.1 + 0.2. Which is smaller: 4 or k?
k
Suppose 28 = 3*k + 10. Which is greater: 5 or k?
k
Let j = 1 - 0.4. Let p = 0.5 - j. Is 2/7 <= p?
False
Let j = 7 - 29. Let t = -15 - j. Are t and 2 non-equal?
True
Suppose 1 = -2*d + 9. Let k = -4 + d. Are k and 1 equal?
False
Let o = 16 - 9. Suppose -3*r - 3*t + 15 = -2*r, -2*r + 3*t = 15. Which is bigger: o or r?
o
Let s(j) = -5*j + 51. Let l be s(10). Which is smaller: -10/37 or l?
-10/37
Let l = -16 - -15. Which is greater: -6/19 or l?
-6/19
Let d(k) = -k**2 - 3*k. Let p be d(-3). Let x be (-2)/(-4) + 33/(-6). Let m be (x/(-10))/((-2)/4). Which is greater: m or p?
p
Let r be ((-18)/27)/((-2)/(-3)). Is r greater than or equal to 1/50?
False
Let a be 18/(-3)*(-2)/4. Let z be a/(-3)*(3 + -2). Is 6 at most z?
False
Let g = -48 + 48.1. Is -4 less than or equal to g?
True
Let u = -0.01 - 0.14. Let b = u - 0.05. Is b not equal to -0.1?
True
Suppose -9 = 3*f - 6*f. Suppose 4*d + u = -4 + 1, 5*d + f*u = 5. Which is greater: -1 or d?
-1
Let m = 3 - 4. Let i be 19/(-35) + 1/7. Are m and i non-equal?
True
Let d = 187/21 + -4/7. Which is greater: 8 or d?
d
Suppose f = -3 + 5. Let t be -26*(3/6)/1. Let k = t + 27/2. Which is smaller: k or f?
k
Suppose -p = -0*b - b, 4*p + 5*b - 45 = 0. Let z be 16/(-40) + (-216)/10. Let g be z/(-4) - 2/4. Is g > p?
False
Let v = -64 + 442/7. Is v less than or equal to -1?
False
Let f = -61/20 - -19/5. Which is greater: 0 or f?
f
Let s = -2/39 - 31/156. Is 18 smaller than s?
False
Suppose x - 1 = -4*t - 5, 3*t = x - 3. Suppose -u + 15 = -4*n, 6 = -2*n + 3*u - 9. Let i = 3 + n. Is i >= x?
True
Suppose 37 = 4*u - 5*u. Is u bigger than -37?
False
Let r = 9.7 - 10. Let z = r - -0.2. Is z greater than or equal to 2?
False
Let l be (-4 - (-34)/8) + (-213)/836. Which is bigger: l or 0?
0
Suppose 3*t = 2*m + 3, 0*m + 2*m - 2*t = -2. Which is bigger: 2/21 or m?
2/21
Let q = -17 + 16.8. Is q >= -7/3?
True
Let m be ((-45)/12)/(2/8). Let j be (4 - 1)*10/m. Let g be ((-1)/j)/(6/12). Which is bigger: 1/6 or g?
g
Let s = 17 + -14. Suppose 0 = g - 5*q - 7, 3*q + s = 2*q. Which is smaller: g or -9?
-9
Suppose -2*g = s + 1, -2*s - 3 + 1 = 5*g. Which is smaller: g or 37?
g
Let g(y) = -y**2 - 9. Let o be g(0). Is -9 less than o?
False
Let h(c) = -c - 7. Let j be h(-5). Let x = j - -4. Let q be (4/3)/(x/3). Which is greater: 0 or q?
q
Let a = -35 + 24. Let x = a + 11.2. Let l = -0.1 - -0.3. Is x not equal to l?
False
Let y = -7 + 8. Let l be (-348)/(-336) - 2/7. Is y smaller than l?
False
Suppose -11 = -4*f + 1. Suppose -f*k + 12 = -5*k. Is k equal to -6?
True
Suppose b + 4 = 2. Let q be b - (-4)/2 - 0. Suppose q = -2*t + 6*t. Is 0 not equal to t?
False
Let w = 245 - 1011/4. Is w at most as big as -9?
False
Let z = 3 + -2. Let p be (-4)/(12/9) - -2. Is p < z?
True
Let d = 7.1 - 6.47. Which is greater: -2/3 or d?
d
Let q = 0.071 + -5.071. Is q < -0.2?
True
Let p be (-2)/5 + 1368/3520. Is p >= -1?
True
Let n(j) = -j**2 - 10*j + 2. Let b be n(-8). Are b and 18 equal?
True
Let v = 0.178 + -4.018. Let k = v + -0.16. Is k at most as big as -1/5?
True
Suppose -3*k = -5*i - 32, -21 + 3 = -2*k + 5*i. Let y be k/10 + (-12)/30. Let g = -42/11 + 188/55. Is g <= y?
True
Let q(z) = 34*z. Let n(c) = c**2 + 9*c - 9. Let j be n(-10). Let s be q(j). Suppose 3*x - 5*y + s = 0, 3 + 27 = -5*x + 3*y. Do x and 1 have the same value?
False
Suppose 3*d = -2*d + 35. Suppose 4*c = t - 1, 3*c + 1 = d. Let x be 3/t - 1/(-15). Which is bigger: -5 or x?
x
Suppose 465 = 42*r - 39*r. Is r at most 155?
True
Let w = -2.9 + 3. Let z = 0.3 - 0.4. Let o = z + w. Which is smaller: o or -2?
-2
Suppose 0 = b - 2*m + 10, -m + 0 = b - 2. Let v be (b - 0/1)/5. Are v and 0 unequal?
True
Let q be 6/5 + 2/(-10). Let u = 12 - 4. Let m be (30/u)/3 - 1. Do m and q have the same value?
False
Let t be 15/27 - 2/6. Let x = 37/2 + -19. Is t at most x?
False
Let a(n) = n**2 + 2*n. Let h be a(-2). Let m = 129/70 - -1633/1260. Let c = -26/9 + m. Is c >= h?
True
Let d = -91.286 + 1.336. Let j = 92 + d. Let n = j + -0.05. Is n >= -1/4?
True
Suppose -10*h = -5*h + 5. Which is smaller: -3/14 or h?
h
Let d = -8 - -7.84. Let x = -0.25 - d. Let i = 0.01 - x. Is 1 bigger than i?
True
Let u = -383/3 + 8773/69. Do 0 and u have the same value?
False
Suppose s + 2 = -s. Let u be s*-4*2/(-36). Is u at most as big as -1/4?
False
Suppose 0 = 5*c - 3*u + 2, 3*c - 3*u - 2 = 2*u. Which is greater: -2/23 or c?
-2/23
Suppose 3*m - 3 = -6. Which is greater: -1/18 or m?
-1/18
Let n(l) = l + 10. Let u be n(-12). Which is smaller: -1 or u?
u
Suppose 2*d = 4*d - 16. Is 7 > d?
False
Let o(b) = -1 + 3*b - 3*b - b**2 + 3*b. Let j be 2/(-6) + 21/9. Let a be o(j). Is 2/13 greater than a?
False
Suppose 5*j = 2*w - 39, 0*w - w + 9 = j. Which is smaller: w or -2/5?
-2/5
Let v be -4 - 1 - (3 - 7). Which is greater: 4/21 or v?
4/21
Let i = 12 - 12.2. Let c(f) = 2*f**2 + f + 1. Let p(l) = -l**2 + l. Let n(a) = -c(a) - 3*p(a). Let x be n(4). Which is smaller: i or x?
x
Let a = 4 + -4. Let p = 1 - a. Let z = p - 2. Is z <= -1?
True
Let q be ((-12)/9)/(1/(-12)). Suppose 0 = k - i - 4, 3*k + i + 3*i + q = 0. Is 0 g | {
"pile_set_name": "DM Mathematics"
} |
p**4*p*p**13)**(-5/13) assuming p is positive.
p**(-890/117)
Simplify ((c**(2/9)/(c**(4/19)/c))/(c**(2/25))**(3/16))**(-1/17) assuming c is positive.
c**(-34087/581400)
Simplify ((b**0/b)**(-3)/((b**7*b)/(b*b**(-6/7))))/((b*b**(-1/3)*b)**(4/5))**22 assuming b is positive.
b**(-718/21)
Simplify ((l**(-1))**(-35))**(-1/10)/((l**4*l**2/l)/((l/l**(1/3))/l)**(-27/2)) assuming l is positive.
l**(-4)
Simplify ((f/f**(-11))/f**2*(f**3/f)**47)**(-47) assuming f is positive.
f**(-4888)
Simplify (((c*(c**(-16)/c)/c)/c*c)/(c/(c*c/(c/c**(6/17)*c)*c))*(c/c**(-2/5)*c)/c**12)**41 assuming c is positive.
c**(-91471/85)
Simplify ((i**1*i)**13/(i/(i/(i**(-3)/i))*i**(6/7)))/((i**(-12)/i)/(i**3*i))**(-9/10) assuming i is positive.
i**(969/70)
Simplify (k**(-1/4)*k/k**(-2/7))**(1/23)/((k*k**3*k*k)/(k/k**4)*(k*k*k*k/(k/k**(-2/7)))/((k*k**(-1/3))/k)) assuming k is positive.
k**(-23189/1932)
Simplify (n**(18/5)*n*n**(-1/49)*(n*n/n**13)**(-25))**(3/32) assuming n is positive.
n**(205491/7840)
Simplify ((g**(-2/23)*g*g/g**(-6)*g)/((g**17*g)/(g/((g**(-4/3)*g*g)/g*g))))**(-2/27) assuming g is positive.
g**(1208/1863)
Simplify (a/(a/(a**(-2/7)*a)))/a*a/a**(-2)*a*(a/(a*a**(-1))*a)**(1/9)*(a/(a/a**(1/2)))**(2/73)/((a**(-2/11)/a*a*a)/(a**(-6)/a)) assuming a is positive.
a**(-195677/50589)
Simplify (o*o**(2/9)*o*o**2/o*o)**14*(o**(2/3)/o*o)**(-24/5)/(o**(-6)*o*((o**5*o)/o)/o) assuming o is positive.
o**(2561/45)
Simplify ((a**(-2/9))**(6/17)/(a/(a**(7/5)*a)*a**(7/4)))**(10/9) assuming a is positive.
a**(-437/918)
Simplify ((((n**1*n)/n)/n)**(4/7)*(n*n/(n/(n**(-1)/n)))**(3/5))/(n**(2/7)/(n**3*n))**(1/10) assuming n is positive.
n**(-8/35)
Simplify ((z**(-8/9)*z*(z/(z/(z/z**(2/25))*z))/z)/(z**(7/6)/z**(-5/3)))**(-42) assuming z is positive.
z**(11977/75)
Simplify o*o**(-5)*o**4/o*o*(o*o**(-1)*o)**(-20)*(o**(8/7)/((o/((o/o**(-10/9))/o))/o))**(-4/25) assuming o is positive.
o**(-32068/1575)
Simplify (p/p**18)/(p/p**(4/41))*(p**(-1/7)*p)/p**49 assuming p is positive.
p**(-18955/287)
Simplify (a/((((a**(-2/17)*a)/a)/a)/a))/a*a*a**(-3/23)*(((a*a*a**(-1/51)*a)/a*a)/a)/(a**(-1/5)*a) assuming a is positive.
a**(24443/5865)
Simplify p**(1/5)/p**(-2/9)*(p**(-6/7)/p)/(p/(p**7*p))*(p*p**(-6)*p)/(p*p**(1/3))*(p**(-2)*p)**(-45/4) assuming p is positive.
p**(14467/1260)
Simplify ((h/(h**19/h)*h)/(h**27*h)*h/(h**(1/11)*h)*h**(-1/7))**(-3/4) assuming h is positive.
h**(5109/154)
Simplify (x**2/(x/((x**(-7)/x)/x)))/(x*x**(1/6)*x*(x/x**(-8))/x*x)*x**5*x**4*x**(-3)/x*x*x*x*x/(x*x**(-2/11))*x assuming x is positive.
x**(-659/66)
Simplify ((r**(-3/13)/(r/r**(-19)))/(r**2/(r*r*(r*r**(-17))/r)))**(3/4) assuming r is positive.
r**(-363/13)
Simplify (x**8*x*x**(-4/9)*(x*x*x**13*x)/(x*((x*x/x**(-6)*x)/x)/x))**(-2/45) assuming x is positive.
x**(-298/405)
Simplify ((u*u**(-2)/u)/u**6)**(-1/32)/(u**(2/7)/u*u**5/u*u)**(-18) assuming u is positive.
u**(2167/28)
Simplify ((l**(-2))**(2/43))**(30/7)*((l/l**1)**46)**22 assuming l is positive.
l**(-120/301)
Simplify (i*i**6*i*i)/i*i*i**(-3/2)*i**(3/4)/(i*i**3)*i**(4/11)*i**(-2)*i**4*i**6 assuming i is positive.
i**(555/44)
Simplify ((d*d*(d/d**(2/5))/d*d)**1/((d/(d*d/(d**(-2/9)/d)))/(d*d**(4/5))))/((d/d**(-2/3))/d**(3/7)*d*d*d/(d**(-5)/d)*d*d**(1/12)) assuming d is positive.
d**(-5921/1260)
Simplify (v**(-24)/(v*v*(v/(v/((v/v**13)/v)))/v*v)*(v**(-7))**(-10))**(-2/51) assuming v is positive.
v**(-38/17)
Simplify (z**(-5)*(z/z**(4/7))/z*z)**(-20)*(z/((z/(z*z**(-4)))/z))/(z/(z/(z/z**(-2/17))))*(z**(-1/4))**(-49) assuming z is positive.
z**(47867/476)
Simplify ((o/(o*o/((o/(((o/o**(-8))/o*o)/o*o))/o))*o*o**8*o**(2/11)*o*o**(-2/9))**(12/7))**(-6/13) assuming o is positive.
o**(32/1001)
Simplify (((u/(u*(u*u**0)/u))/u)**0*(u*u/(u/u**(-1)))**(-48))/(u**(-1/4)*u**(1/3)*(u**0)**(-1/62)) assuming u is positive.
u**(-1/12)
Simplify (c/(c/c**(-1/4))*c)**11*c*c/(c*c*c/((c*c/c**2)/c)*c)*c*c**(-7)*c*((c/(c/(c*c**(-3/4)/c)))/(c/(c*c**(-2/3)/c)))**(-2/45) assuming c is positive.
c**(193/540)
Simplify (m**(2/43))**(1/18)*(m*m**(5/4))**(-46) assuming m is positive.
m**(-80107/774)
Simplify d**(1/32)/d**(-18/7)*(d**(-31)/d)**(-21/4) assuming d is positive.
d**(38215/224)
Simplify (((c**(-2/3)/c*c)/c*c*c*c*c/c**(-3)*c*c*c*c*c**(-3/4)*(c*c**(-4)*c)/c)**13)**40 assuming c is positive.
c**(8710/3)
Simplify (a/(a/a**1))**(-2/11)/(a*a*a**(-6/7)*a**(-1))*((a/(a/(a/(a**(10/3)/a))))/(a/(((a*a**(1/2))/a*a)/a)))**12 assuming a is positive.
a**(-1719/77)
Simplify (j*j**(-1/3))**(-8/7)/(j/(j*j*j**(2/5)*j))**(-17/6)*((j*j*j*j**(-1/4))**(-1/28))**(-2/41) assuming j is positive.
j**(-37181/4920)
Simplify (((z/(z/(z/(z/(z/z**(-4)))*z*z)))/z)/(z**(-6)/z*z)*(z*z**(1/2))**(1/10))/((z**0)**(-2/61)/(((z*z**(-5)*z*z)/z*z)/z**(-9))) assuming z is positive.
z**(383/20)
Simplify ((h*h**(-3)*h)**(-3/10))**(-6/11)*(((h*h**(-3))/h)/(h*h/(h**(2/3)*h*h)))/((h/(h/h**8))/h*h**(-7)) assuming h is positive.
h**(-412/165)
Simplify ((l*l**(3/20)*l)**(-11/3)*(l*l**20*l)/l*l*l**(10/3))**(-1/8) assuming l is positive.
l**(-349/160)
Simplify (((j**(-3/11)*j)/j)**(-7/8)*(j/((j*((j*j*j/(j/j**11))/j)/j)/j))/((j**(-31)*j)/j))**(-3/4) assuming j is positive.
j**(-5607/352)
Simplify ((u/(u/u**(18/7)))/(u/(u/u**(2/15)))*u*u**(-1/6)*u**(-4/23)/u)**(10/11) assuming u is positive.
u**(307/161)
Simplify (f**(-2/13)/(f*f/(f/(f*f*f**(6/5)*f)*f)*f))/(f**(1/3)*f/(f/(f**(2/5)/f))*f)*(f*f**0*f)**(-4)/(f**1*f)**(11/8) assuming f is positive.
f**(-13133/780)
Simplify ((r*r**(-8))**(16/3)/(r*r/(r/(r*r**(-2/19))))**(-3))**(-33) assuming r is positive.
r**(19844/19)
Simplify ((f/(f**(-1/5)/f)*f/((f*(f/(f**8*f)*f*f)/f)/f))/(f**(-2/7))**(7/4))/((f**(-1/5)*f/(f/(f/f**(-1/5))))/(f**2)**37) assuming f is positive.
f**(837/10)
Simplify ((k*(k*k/(k/(k*k**(-1/2)*k*k)))/k)/k)/(k**(-44)*k)*(k/k**(2/31))**(-18/5) assuming k is positive.
k**(13061/310)
Simplify ((u**(7/4)/u)/(u/(u/u**(-6))*u))**(5/6)/((u**(4/7)*u)/(u/u**3))**26 assuming u is positive.
u**(-14795/168)
Simplify (((b*b**13*b)/b**(-4))/((b*b/(b*b*b**(-4/7)))/(b/(b/b**29))))**(-11) assuming b is positive.
b**(-3652/7)
Simplify (((p/(p**(-11)*p*p))/p)/p)**(-2/33)*(p**16)**(-26) assuming p is positive.
p**(-13744/33)
Simplify ((a*a/(a/a**(-1/6))*a**(1/3))/(a**(-1)*a**4*a))/((a**(-1/2)/a)**(9/7)*a**1/a**(-1/14)) assuming a is positive.
a**(-83/42)
Simplify ((c/(c*(c**(-2/11)*c*c)/c))/(c/(c/(c/((c*c*c**(1/6)*c)/c)))*c))**39/((c*c**(-8))/(c/c**4*c))**(-16/7) assuming c is positive.
c**(-5673/154)
Simplify (((((t/t**3)/t*t*t*t*t)/t)/t*t)/(t*t*t*t**(1/7)*t))/(t**0)**36*(t**(-6)*t**(2/7))/((t*t**1)/t*t)**7 assuming t is positive.
t**(-167/7)
Simplify ((f*f**0)**(-34/5)/(((f/(((f/f**(2/7))/f*f*f)/f*f))/f)/(f**(-4/13)/f)))**(-5/3) assuming f is positive.
f**(2909/273)
Simplify (u**(-2/17)/(u*u/(u/u**(-1)*u)*u))/(u**1/u**(-3/5))*u**(3/2)*u*u**5*u*u*u*u**2*u**(-4/7) assuming u is positive.
u**(12151/1190)
Simplify j/(j*j*j**3/j*j)*j**6*(j**(2/5))**(-36)*(j*j**(-2/13)*j/(j*j*j*j**6*j)*j)**(21/5) assuming j is positive.
j**(-2759/65)
Simplify (((r**(-12)*r*r**(-10/7))/(r*r/r**(1/3))**(5/3))**(-25))**32 assuming r is positive.
r**(766400/63)
Simplify (c**7*c/(c/c**(-1/6)))**(-31/4)/((c**(-1/4))**(3/10)*c**(4/5)*c*c*c**(-7)*c) assuming c is positive.
c**(-2981/60)
Simplify (((k**(2/11)*k)/k)/((k**(6/7)/k*k)/k)*(k*(k/(k**(2/5)/k))/k)/k*k/(k/(k**0/k)))/((k/k**(-6))/k*k**(-4)*k**5/(k/(k/k**(2/7)))) assuming k is positive.
k**(-2614/385)
Simplify ((k**(1/3)/k*k)**(2/119))**(-9/11)*((((k/(k*k**(1/4))*k)/k)/k)/k)**(8/3)/(k**(-1/3))**(1/9) assuming k is positive.
k**(-210911/35343)
Simplify k/k**(1/3)*k*k**(-6)*k/k**(-1/2)*k**(-1/5)*((k/k**0)**(-38))**9 assuming k is positive.
k**(-10351/30)
Simplify (z**1/z**(-6/7))**(-22/3)/((z*z*z/(z/(z/z**(-2/3))))/(z/((z/z**(-1/6))/z)))**(-1/20) assuming z is positive.
z**(-11321/840)
Simplify ((j**(2/7)*j/(j**1/j))/(j*(j**1/j)/j)**(-2/13))/((j**(-1/3)/j*j**(-1/4))/(j**(-1)/j**(2/9))) assuming j is positive.
j**(415/252)
Simplify (p/(p*p**6)*p**3*p*p*p*p**5*p*p*p/(p**(-3/5)/p))/(p**(-1/7)/p**(-1)*(p/p**0)**(2/3)) assuming p is positive.
p**(848/105)
Simplify (l**(-1/7))**19*l**36*l*(l/l**(-1/4))/l*l assuming l is positive.
l**(995/28)
Simplify (((m/(m/(m*m**(1/7)))*m/((m**(2/9)*m)/m)*m)/((m*m/(m*m/m**(-11)))/(m*m**(1/5))))**(7/4))**(1/26) assuming m is positive.
m**(4763/46 | {
"pile_set_name": "DM Mathematics"
} |
.
-14, 0, 3, 4, 35
Sort 12.5, 3, 2 in ascending order.
2, 3, 12.5
Sort 3, 5, -1, 1/2.
-1, 1/2, 3, 5
Put 231, -17, -2 in increasing order.
-17, -2, 231
Put -2/17, 82, 2, -0.3, 0.01 in decreasing order.
82, 2, 0.01, -2/17, -0.3
Put 1, 5, -1, -10 in increasing order.
-10, -1, 1, 5
Put 1/12, 8, -0.2 in increasing order.
-0.2, 1/12, 8
Sort -7, 5, 7, 4 in increasing order.
-7, 4, 5, 7
Sort 5, -1, -23, -2 in ascending order.
-23, -2, -1, 5
Put -7, -5, 3, -6 in decreasing order.
3, -5, -6, -7
Sort -30, -5, 0 in ascending order.
-30, -5, 0
Sort 55, 1, 0 in ascending order.
0, 1, 55
Sort 0.17, -3, 2/11, -18 in decreasing order.
2/11, 0.17, -3, -18
Put -12, -8, 1, -1 in increasing order.
-12, -8, -1, 1
Put 2, -1, 193 in descending order.
193, 2, -1
Sort 1/3, -4, -9.
-9, -4, 1/3
Sort -685, 4, -3 in ascending order.
-685, -3, 4
Sort 0, -537, -1 in descending order.
0, -1, -537
Put 5, 2, -2, 28, 1 in ascending order.
-2, 1, 2, 5, 28
Sort -5, 2, 0, -1 in descending order.
2, 0, -1, -5
Sort -1, 4, 6, -6 in descending order.
6, 4, -1, -6
Sort -41, -3, -4, 5 in descending order.
5, -3, -4, -41
Put -0.5, 13, -1/5 in decreasing order.
13, -1/5, -0.5
Sort 1, 8, -2, -185, 5 in increasing order.
-185, -2, 1, 5, 8
Sort 79/2, -3, -5 in descending order.
79/2, -3, -5
Sort -3, -6, -17, 3 in decreasing order.
3, -3, -6, -17
Put 5, 3, -4, 35, -3 in decreasing order.
35, 5, 3, -3, -4
Put -0.2, -4, 4/13, 0.5 in decreasing order.
0.5, 4/13, -0.2, -4
Put 189, 0, 1, -4, -7 in descending order.
189, 1, 0, -4, -7
Put -2.7, -1/3, 3, -0.3 in descending order.
3, -0.3, -1/3, -2.7
Put 3, 181, 1, -1 in decreasing order.
181, 3, 1, -1
Sort -0.3, -0.5, -1, -10.
-10, -1, -0.5, -0.3
Sort -36, 5, 4, 55 in ascending order.
-36, 4, 5, 55
Sort -20, -31, 3 in increasing order.
-31, -20, 3
Sort -5, 4, -4, 3, -24 in decreasing order.
4, 3, -4, -5, -24
Put 0.1, 1, 9/7 in ascending order.
0.1, 1, 9/7
Sort -1, 9.9, 3 in increasing order.
-1, 3, 9.9
Put 35, 6, 1, -3 in increasing order.
-3, 1, 6, 35
Sort -6, 5, 1, -5.
-6, -5, 1, 5
Put -19, 3, -4, -0.2, 4/7 in descending order.
3, 4/7, -0.2, -4, -19
Put 1/4, -0.8, 1, 5 in descending order.
5, 1, 1/4, -0.8
Sort -3, 4, -1601 in descending order.
4, -3, -1601
Sort -1/3, -1, 14, 10 in descending order.
14, 10, -1/3, -1
Put 4, -25, -1 in descending order.
4, -1, -25
Put -3, 3, 2/993 in descending order.
3, 2/993, -3
Sort 0, 1, -2, 39 in ascending order.
-2, 0, 1, 39
Put -6, 4, 9, 0, 2 in ascending order.
-6, 0, 2, 4, 9
Sort -15, 1, -35 in decreasing order.
1, -15, -35
Put 2, -1/3, 2.1, 38, -3 in decreasing order.
38, 2.1, 2, -1/3, -3
Sort -231, 20, 0.
-231, 0, 20
Put 13, -1.3, 0 in decreasing order.
13, 0, -1.3
Sort 2, 3, -7, -2, 4.
-7, -2, 2, 3, 4
Put -2/9, 9, -0.17, 0, -5 in decreasing order.
9, 0, -0.17, -2/9, -5
Put 4, -5, -3, 78 in descending order.
78, 4, -3, -5
Put -20, -4, -3, 51 in ascending order.
-20, -4, -3, 51
Sort -1, 3, 4.
-1, 3, 4
Sort -6, 5, 1, 6, -0.4 in descending order.
6, 5, 1, -0.4, -6
Sort 4, -38, 0, 3, 5 in ascending order.
-38, 0, 3, 4, 5
Sort -6, -2, 4, 386 in decreasing order.
386, 4, -2, -6
Sort 6, 2, -14, 7, -5 in descending order.
7, 6, 2, -5, -14
Put -6, 1/4, 1/11, -0.5 in descending order.
1/4, 1/11, -0.5, -6
Sort -4, -1/27, -8, 1/5 in descending order.
1/5, -1/27, -4, -8
Put 2, -3, -33, -11 in increasing order.
-33, -11, -3, 2
Put 97.8, 0.3, -1 in ascending order.
-1, 0.3, 97.8
Sort 110, 3, -4, 1 in descending order.
110, 3, 1, -4
Sort 10, -3, -4 in increasing order.
-4, -3, 10
Sort 86, -27, -3.
-27, -3, 86
Put 9, 1, 20 in ascending order.
1, 9, 20
Put -3, 1, 2, 0.2 in decreasing order.
2, 1, 0.2, -3
Sort -8/9, 0.03, -0.4, 1 in ascending order.
-8/9, -0.4, 0.03, 1
Put 0.05, 1, 5, 2/7 in decreasing order.
5, 1, 2/7, 0.05
Sort -2/15, -1/3, 1.5 in ascending order.
-1/3, -2/15, 1.5
Sort 4, -608, -4/3, 0, 3 in decreasing order.
4, 3, 0, -4/3, -608
Put 2/15, 0.73, 0.06, 1/4 in decreasing order.
0.73, 1/4, 2/15, 0.06
Sort 0.1, -2, -3/4, 36/11 in descending order.
36/11, 0.1, -3/4, -2
Sort 1, 83, -3, 0 in ascending order.
-3, 0, 1, 83
Put -3, -15, 0, 1, -2 in ascending order.
-15, -3, -2, 0, 1
Sort -4, 36, -44 in descending order.
36, -4, -44
Sort -1, 6, -2, -3, 11.
-3, -2, -1, 6, 11
Sort 1, -9, 417 in increasing order.
-9, 1, 417
Sort 2/101, -1, -16.
-16, -1, 2/101
Put 5, -8, -6, -7 in increasing order.
-8, -7, -6, 5
Sort 9, 0.06, 3/4, 3 in descending order.
9, 3, 3/4, 0.06
Put -2, -6, -4, -8 in decreasing order.
-2, -4, -6, -8
Put 194, -4, 0, -2, -1 in ascending order.
-4, -2, -1, 0, 194
Put 60, -3, 0 in increasing order.
-3, 0, 60
Sort 4, 9, -3, -5.
-5, -3, 4, 9
Sort -4, 6, -2, -3 in descending order.
6, -2, -3, -4
Sort -2, -2573, -1 in ascending order.
-2573, -2, -1
Sort 0.64, 0.21, 0.3 in increasing order.
0.21, 0.3, 0.64
Sort -4/5, -2, -21 in descending order.
-4/5, -2, -21
Sort 18, -28, -1/3 in descending order.
18, -1/3, -28
Put 9912, 2, -5/2 in descending order.
9912, 2, -5/2
Sort 5, 0, 4, -4 in ascending order.
-4, 0, 4, 5
Put -3, 2, 4, 0 in descending order.
4, 2, 0, -3
Put 42, -2, 5, 1 in decreasing order.
42, 5, 1, -2
Put -5, -2, -402 in decreasing order.
-2, -5, -402
Sort -1, 0.2, -4, 46 in descending order.
46, 0.2, -1, -4
Sort -3, 3, -5, 18 in descending order.
18, 3, -3, -5
Put 37, 3, 0, 26 in decreasing order.
37, 26, 3, 0
Put 0, -17, 4, 2 in descending order.
4, 2, 0, -17
Put 92, 6/7, 3 in decreasing order.
92, 3, 6/7
Put 0.5, -4, -2/9 in decreasing order.
0.5, -2/9, -4
Sort 7, 0.11, 3 in decreasing order.
7, 3, 0.11
Sort -4, -3/4, 1/10, -2, -0.1 in descending order.
1/10, -0.1, -3/4, -2, -4
Put -17, -3/4, 0.3, -1/6, 0.2 in decreasing order.
0.3, 0.2, -1/6, -3/4, -17
Sort 4, 11, 8 in ascending order.
4, 8, 11
Put -5, -242, 1, -2, 3 in descending order.
3, 1, -2, -5, -242
Sort 0, -1, 2, -2, 0.005 in descending order.
2, 0.005, 0, -1, -2
Sort -5, 12, -1, 4 in decreasing order.
12, 4, -1, -5
Sort 0.3, -2/11, -5, -1 in ascending order.
-5, -1, -2/11, 0.3
Sort -1.1, -2, -76, -3/7 in decreasing order.
-3/7, -1.1, -2, -76
Sort -2, 3, 1/5, 789 in decreasing order.
789, 3, 1/5, -2
Sort 0, 410, 4 in decreasing order.
410, 4, 0
Put -5/4, -0.2, 0.5, 5, -3 in increasing order.
-3, -5/4, -0.2, 0.5, 5
Sort 3, 1, -0.3, -0.15 in descending order.
3, 1, -0.15, -0.3
Sort 5, 2/7, -1, 0.2, -1/20.
-1, -1/20, 0.2, 2/7, 5
Sort -0.2, 2, -1.5, -3/5, -200/3 in decreasing order.
2, -0.2, -3/5, -1.5, -200/3
Sort -1, -7166, -3, 1.
-7166, -3, -1, 1
Sort 4/7, -24, 2 in increasing order.
-24, 4/7, 2
Put -1, 5, -1197, 0 in decreasing order.
5, 0, -1, -1197
Put 1/3, -11, 9/13 in ascending order.
-11, 1/3, 9/13
Sort -1/5, -4.3, -0.5, -2.
-4.3, -2, -0.5, -1/5
Sort 1, 0.2, 6, 0.19.
0.19, 0.2, 1, 6
Sort -4, -2, 82, -1 in decreasing order.
82, -1, -2, -4
Sort -4, -15, -78, -5 in descending order.
-4, -5, -15, -78
Sort -1/8, -4, -8, -3 in ascending order.
-8, -4, -3, -1/8
Put -3, 5, 2, -2, 728 in decreasing order.
728, 5, 2, -2, -3
Sort 2/63, 6, 1/7 in decreasing order.
6, 1/7, 2/63
Put 4, -7, 1, 0, -4 in decreasing order.
4, 1, 0, -4, -7
Sort -5, 0, 8, 1/8, 0.3 in decreasing order.
8, 0.3, 1/8, 0, -5
Sort 2/3, 15, -35 in ascending order.
-35, 2/3, 15
Sort -3, 5, 11, -14, -2.
-14, -3, -2, 5, 11
Put 1/2, 5/4, -0.4, -4 in descending order.
5/4, 1/2, -0.4, -4
Put -129, 5, -3/4 in descending order.
5, -3/4, -129
Sort -1, -3, 10, 2/37.
-3, -1, 2/37, 10
Sort -4, -34, 4 in decreasing order.
4, -4, -34
Put -5, -13, -2, 1, -0.07 in ascending order.
-13, -5, -2, -0.07, 1
Sort -23/5, 0.2, -7, -1/11 in descending order.
0.2, -1/11, -23/5, -7
Put 1, 7, -1, 0 in ascending order.
-1, 0, 1, 7
Put -136, -3/14, 0, -5 in increasing order.
-136, -5, -3/14, 0
Put -18, -0.1, 0.1 in decreasing order.
0.1, -0.1, -18
Put -2, -5, 30, 3 in ascending order.
-5, -2, 3, 30
Sort -2/5, 2.38, -3 in decreasing order.
2.38, -2/5, -3
Sort 2, -4, -5, 0.04 in descending order.
2, 0.04, -4, -5
Put 83, 1/3, 0.4, -5 in ascending order.
-5, 1/3, 0.4, 83
Put -1/6, -64, 0.1 in ascending order.
-64, -1/6, 0.1
Sort -4/5, 3, -17.5.
-17.5, -4/5, 3
Sort -10, 1, -5.
-10, -5, 1
Sort 13, -3, -1, -4, -5.
-5, -4, -3, -1, 13
Sort 2/9, -0.043, 1.4.
-0.043, 2/9, 1.4
Put -0.1, -0.3, 268, 0.2 in ascending order.
-0.3, -0.1, 0.2, 268
Sort -7, 17, -0.3, -1/8 in increasing order.
-7, -0.3, -1/8, 17
Sort -2. | {
"pile_set_name": "DM Mathematics"
} |
30*n + 126 = -16*n. Suppose -n*p + 19 = -4*p + 3*l, -5*l = -5*p - 5. Determine u, given that 18/11 + 2/11*u**p + 12/11*u = 0.
-3
Let u(b) = b**5 + b**4 - 1. Let l(k) = -k**5 - 8*k**4 + 12*k**3 - 10*k**2 + 3*k + 2. Let y be (-37)/(-13) - (-112)/728. Let d(f) = y*l(f) + 6*u(f). Factor d(a).
3*a*(a - 3)*(a - 1)**3
Let t(a) be the second derivative of -a**5/20 - 6*a**4 - 216*a**3 + 244*a + 7. Factor t(p).
-p*(p + 36)**2
Let m(n) = 37*n**2 - 819*n + 40782. Let u(w) = 20*w**2 - 410*w + 20390. Let o(x) = 6*m(x) - 11*u(x). Solve o(q) = 0.
101
Factor 174243/8 + 3/8*d**3 + 172797/8*d - 1443/8*d**2.
3*(d - 241)**2*(d + 1)/8
Let g(m) be the first derivative of 3/5*m**2 + 25 + 1/6*m**3 - 1/60*m**4 - 20*m. Let o(k) be the first derivative of g(k). Factor o(i).
-(i - 6)*(i + 1)/5
Let u be (3 + 60/(-28))/((-75)/(-35)). Let 12/5*q - 14/5 + u*q**2 = 0. Calculate q.
-7, 1
Suppose 5*u - 10 = r, 3 + 13 = -4*u. Let t be 3/(-4)*(80/r - 0). Factor -8*m**2 - 7*m**2 - 2*m**3 - 9*m**2 + 20*m**t.
-2*m**2*(m + 2)
Let s be (((-425)/(-840))/17 - 6/(-63))*(-512)/(-160). Suppose -3*j = k - 6, 6*j - 20 = -5*k + j. Find p, given that -98/5 - 6*p**2 - s*p**k - 126/5*p = 0.
-7, -1
Let b(l) = 2*l - 4. Let o(f) = -f + 3. Let t(w) = 3*b(w) + 4*o(w). Let z(u) = u**2 + 27*u + 6. Let q(n) = -44*t(n) + 4*z(n). What is m in q(m) = 0?
-3, -2
Let w(d) = 7*d**4 - d**2. Let t(g) = -152*g**4 - 12*g**3 + 38*g**2 + 12*g - 18. Let p(l) = -2*t(l) - 44*w(l). Suppose p(y) = 0. Calculate y.
-1, 1, 3
Let x(f) be the second derivative of f**4/10 + 5*f**3 + 252*f**2/5 - 986*f. What is h in x(h) = 0?
-21, -4
Factor 648/11*m - 3888/11 - 24/11*m**4 - 2/11*m**5 - 18/11*m**3 + 540/11*m**2.
-2*(m - 3)**2*(m + 6)**3/11
Let m(d) be the first derivative of -d**3/15 + 69*d**2/5 - 81*d - 1171. Factor m(z).
-(z - 135)*(z - 3)/5
Factor -4595*t + 4765*t - 170*t**3 + 59*t**2 - 1499*t**2 - 6*t**4 + 1445 + t**4.
-5*(t - 1)*(t + 1)*(t + 17)**2
Determine f, given that -1639*f + 5*f**2 - 112 + 1669*f + 32 = 0.
-8, 2
Suppose -4*u = 8*x - 0*u - 36, 18 = 5*x + 2*u. Find z such that x - 22/9*z**2 - 8/9*z + 2/3*z**3 = 0.
-1/3, 0, 4
Let w = -345 - -350. Factor 7 + 8*c + 0*c**3 - 66*c**2 - c**3 + w + 65*c**2.
-(c - 3)*(c + 2)**2
Let g be 6/81*105/56. Let m(q) be the second derivative of 0 - 21*q + g*q**3 - 1/6*q**2 - 1/24*q**4. Factor m(f).
-(f - 1)*(3*f - 2)/6
Let j(c) be the second derivative of -40*c - 1/10*c**3 + 0*c**4 - 1/5*c**2 + 1/100*c**5 + 0. Factor j(b).
(b - 2)*(b + 1)**2/5
Let s = 2975 - 1740. Let q = -2455/2 + s. Factor 0 + q*i - 3/2*i**3 - 6*i**2.
-3*i*(i - 1)*(i + 5)/2
Let p(t) = -14*t**2 - 9962*t - 4979. Let g(s) = -124*s**2 - 89656*s - 44810. Let n(h) = 3*g(h) - 26*p(h). Factor n(v).
-4*(v + 1244)*(2*v + 1)
Let m(z) = 4*z**3 + z**2 - z. Let c(a) = 6*a**3 + 62*a**2 - 2*a. Let g(p) = c(p) - 2*m(p). Factor g(q).
-2*q**2*(q - 30)
Let n(p) be the first derivative of 2*p**3/9 - 97*p**2/3 - 2153. Factor n(x).
2*x*(x - 97)/3
Solve 30752/23 + 26/23*o**3 + 3232/23*o**2 + 100936/23*o = 0 for o.
-62, -4/13
Find v such that 0 - 464/9*v**2 + 26912/9*v + 2/9*v**3 = 0.
0, 116
Let h(s) be the third derivative of s**6/40 + 33*s**5/20 - 73*s**4/8 - 105*s**3/2 + 5038*s**2. Factor h(n).
3*(n - 3)*(n + 1)*(n + 35)
Let b = -9 - -11. Let l(i) be the first derivative of -8/3*i**3 - 18 + 43/12*i**4 - 2*i**5 + 7/18*i**6 + 2/3*i**b + 0*i. Suppose l(f) = 0. What is f?
0, 2/7, 1, 2
Let a = 628115 + -3140569/5. Let -a - 42/5*k**3 - 37/5*k + 2/5*k**4 + 7/5*k**5 - 68/5*k**2 = 0. Calculate k.
-1, -2/7, 3
Let j(v) be the third derivative of 16/135*v**6 + 45 - 176/9*v**4 + 0*v + 479/135*v**5 + 121/3*v**3 + 1/945*v**7 + v**2. Determine t, given that j(t) = 0.
-33, 1
Let y(p) = p**2 - 13*p + 3. Let a = -62 + 75. Let z be y(a). Factor 20*x + 4*x**4 - 8*x**4 + 3*x**4 - 65*x**z - 20*x**2 - 24*x**4.
-5*x*(x + 1)*(x + 2)*(5*x - 2)
Solve 46/15*h - 2/15*h**4 + 0 - 94/15*h**2 + 10/3*h**3 = 0.
0, 1, 23
Let x(j) be the first derivative of -151 - 108*j**2 + 2916*j + 4/3*j**3. Solve x(a) = 0.
27
Let m be 4/(-7) + (-162)/(-14). Let n be (-96)/144 + m/3 + 1. Suppose -2*c**n + 8*c**3 - 6*c + 13*c**3 + 9*c**2 - 7*c**4 - 15*c**5 = 0. Calculate c.
-1, 0, 2/5, 1
Let c be 0/(-1) - (-12)/(-1 + 5). Suppose 3*d + 4*j + 6 = -4, 2*j + 10 = d. Factor -2*b**c + 2*b + 10*b**d + 2*b - 4*b**3.
-2*b*(b - 2)*(3*b + 1)
Let n be 8/2 - (-4)/8*2. Let q = n + 10. Factor 12*g**2 - 10*g**2 + q*g**4 + 40*g**3 + 12*g**2 + 21*g**2 + 10*g.
5*g*(g + 1)**2*(3*g + 2)
Let y(b) be the second derivative of -b**4/16 - 601*b**3/2 - 1083603*b**2/2 - 1825*b. Find g such that y(g) = 0.
-1202
Let x(c) = -163*c**2 - 81*c - 638. Let o(q) = -140*q**2 - 80*q - 636. Let m(w) = 7*o(w) - 6*x(w). Factor m(h).
-2*(h + 13)*(h + 24)
Let q(o) be the second derivative of o**6/30 + 29*o**5/20 + 35*o**4/2 + 2*o - 1301. Factor q(i).
i**2*(i + 14)*(i + 15)
Let m(p) be the first derivative of -5*p**3/12 - 333*p**2/8 + 67*p/2 + 2370. Factor m(w).
-(w + 67)*(5*w - 2)/4
Let g(q) be the second derivative of -3*q**5/140 + 9*q**4/28 + 81*q**3/14 + 405*q**2/14 - 55*q - 3. Factor g(k).
-3*(k - 15)*(k + 3)**2/7
Let k(y) be the first derivative of -y**3/15 - 87*y**2/5 - 344*y/5 + 6581. Factor k(g).
-(g + 2)*(g + 172)/5
Suppose 35 - 87 + 40 = -4*b. Let a(v) be the second derivative of 0 + 2*v**2 + 1/3*v**b - 5*v - 1/6*v**4. Determine g so that a(g) = 0.
-1, 2
Let a(d) = -14*d**2 + 322*d - 1758. Let k(g) = 165*g**2 - 3865*g + 21100. Let p(j) = 35*a(j) + 3*k(j). Determine h, given that p(h) = 0.
6, 59
Let p(d) be the third derivative of 1/30*d**5 - 1/210*d**7 - 62*d**2 - 1/540*d**6 - 1/6*d**3 + 1/216*d**4 + d + 0 + 1/3024*d**8. Find g such that p(g) = 0.
-1, 1, 9
Factor -2/9*y**2 + 92/9*y + 94/9.
-2*(y - 47)*(y + 1)/9
Let a be (-3)/(-4 - 26/(-8)). Factor 10*y**a + 16*y**3 - 11*y**4 - y**4 - 32*y**2.
-2*y**2*(y - 4)**2
Suppose z - 3*a = 217 + 8, -3*z - 3*a = -663. Let n = z - 222. Suppose -2/5*m + 2/5*m**3 + n + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let j(x) be the first derivative of x**4/42 + x**3/21 - 6*x**2/7 - 15*x - 182. Let q(t) be the first derivative of j(t). Suppose q(i) = 0. What is i?
-3, 2
Let u(k) = -31*k - 744. Let q be u(-24). Let a(x) be the third derivative of 20*x**2 + 0*x + q + 0*x**4 + 1/12*x**5 - 5/6*x**3. Factor a(t).
5*(t - 1)*(t + 1)
Let m = 6519535/7 - 931362. Factor -1/7*c**3 + 0 + 1/7*c**2 - m*c**4 + 1/7*c.
-c*(c - 1)*(c + 1)**2/7
Factor 20*g + 11*g**2 + 336*g**3 + 389*g**3 - 5*g**2 + 2*g**4 - 737*g**3.
2*g*(g - 5)*(g - 2)*(g + 1)
Factor -5*f**2 - 381*f + 246 + 460 + 161*f - 246.
-5*(f - 2)*(f + 46)
Let y(d) be the second derivative of 1/21*d**7 - 4/3*d**3 + 0 - 11/6*d**4 + 152*d - 1/15*d**6 - 9/10*d**5 + 0*d**2. Factor y(o).
2*o*(o - 4)*(o + 1)**3
Let s(m) be the first derivative of -14*m**5/5 - 1101*m**4/2 - 614*m**3/3 + 1101*m**2 + 628*m + 347. Solve s(c) = 0 for c.
-157, -1, -2/7, 1
Let 784*a**2 - 641*a**2 - 6*a**3 + a**3 + 1902*a**2 = 0. What is a?
0, 409
Let c(n) be the third derivative of n**9/48384 - n**8/5376 - n**5/15 - 7*n**3/6 - n**2 - 3*n. Let r(p) be the third derivative of c(p). Factor r(b).
5*b**2*(b - 3)/4
Let w(i) = -i**3 - 40*i**2 - 361*i + 8. Let j(k) = 3*k**3 + 121*k**2 + 1083*k - 28. Let r(t) = 10*j(t) + 35*w(t). Find q, given that r(q) = 0.
-19, 0
Let m(u) be the first derivative of -u**6/18 + u**5/5 - u**4/4 + u**3/9 + 4048. Factor m(d).
-d**2*(d - 1)**3/3
Let w(a) be the second derivative of a**6/15 - a**5/10 - 18*a**4 - 560*a**3/3 - 832*a**2 - 335*a. Factor w(m).
2*(m - 13)*(m + 4)**3
Let a = 184865 - 1293989/7. Determine t so that -24/7 - 9*t**2 - a*t - 3/7*t**4 - 24/7*t**3 = 0.
-4, -2, -1
Let o(y) = 43 + 0*y**2 + 2177*y - 19*y**2 - 2147*y - 13*y**3. Let j(k) = -4*k**3 - 6*k**2 + 10*k + 14. Let q(i) = -7*j(i) + 2*o(i). Factor q(d).
2*(d - 2)*(d + 1)*(d + 3)
Let j(q) be the second derivative of -8*q + 0*q**3 + 2 - 9/8*q**5 + 1/3*q**6 + 0*q**2 + 5/12*q**4. Factor j(h).
5*h**2*(h - 2)*(4*h - 1)/2
Let y(l) be the first derivative of l**4/3 - 34*l**3/3 + 60*l**2 + 37*l - 74. Let a(w) be the first derivative of y(w). Solve a(q) = 0 for q.
2, 15
Let c(y) be the second derivative of -y**6/10 - 3*y**5/10 + y**4 + y**3 - 9*y**2/2 - 220*y + 2. Let c(q) = 0. Calculate q.
-3, -1, 1
Let t(h) be the first derivative of -h**3/3 + h**2/2 + h + 12. Let j(w) = 4*w**3 + 20*w**2 + 4*w + 4. Let m(x) | {
"pile_set_name": "DM Mathematics"
} |
to 0.1? (a) i (b) 1/8 (c) g (d) 4
b
Let m = 0.2 - 0.2. Let f = -5 + m. Let o = 0.136714 + -0.136714. What is the closest to o in 2, f, 0.5?
0.5
Let n = -275 + 1928/7. Let x be (-14)/(-2) - (-4 + -2*(-8 - -5)). Let f = 3.95 + 0.05. Which is the closest to f? (a) x (b) n (c) 0.03
a
Let c = 27199.7 + -27200. Let x = -1.89 - -1.8. Let u = x - -0.1. What is the nearest to 0.1 in u, 5, c?
u
Let y be -2 + ((-31)/(-5) - 84/28) + -2. Let k = 2.98 + 0.02. What is the closest to -2 in k, 0.5, y, 0.4?
y
Let k = -2126/15 + 7538/45. Let j = k - 455/18. Which is the closest to j? (a) -3 (b) -5/4 (c) 0.3
c
Let u = -2 + 6. Let t = -628/415 - -11/830. What is the nearest to -2/5 in t, u, 0.5?
0.5
Let n = 2.5773 - -0.4227. What is the nearest to -24 in 2, 3/13, n?
3/13
Let u be -3*(5 - (-116)/(-18)) + -4. Suppose 2*k - 7 = -27. Let q be (2/k)/((-40)/75). What is the closest to u in -5, q, 2?
q
Let g = -48527/17646 - -1/35292. Which is the nearest to 1? (a) -8 (b) -3/2 (c) g
b
Let s = -67 + 67.1. Let r = 7.338 + -7.838. What is the closest to 1 in r, 0.5, 5, s?
0.5
Let o = 0 - -4. Let w = o + -1. Let z = -2/8645 + -3456/8645. Which is the nearest to z? (a) -6 (b) -3 (c) w
b
Suppose 4*s - 5 = -s. Let w = 109/480 - 63/160. Which is the nearest to s? (a) 3 (b) 1/10 (c) w
b
Let h = -4 + 6. Let y = 3 + -3. Let n = -10268/3 - -3423. Which is the closest to y? (a) n (b) 4 (c) h
a
Let t(s) = -s**2 + 3*s - 2. Let j be t(4). Let b be j/4*(-10)/(-30). Let r = 2367.5 - 2367. What is the nearest to b in -0.3, 0.2, r?
-0.3
Let g be (1*(-12)/6)/(-2). Let i = -644.1 + 644. What is the closest to -30 in 5, g, i?
i
Let i = -84674/3 + 28225. Let g = -0.04 - -0.24. What is the nearest to i in g, 0.5, 2/9, -2?
2/9
Let r be (-130)/(-325)*4470/4. Which is the nearest to 0.1? (a) 0 (b) r (c) 0.3
a
Let n = -6058 + 6061. What is the nearest to -0.1 in -0.5, -0.1, n, 4?
-0.1
Suppose 0*g = 3*g + 24. Let z be ((-2)/(-2))/(g/(-144)). Suppose 3*s + 12 = z. What is the closest to 2/3 in 3/7, s, -3?
3/7
Let w = 137458/7 - 19637. Which is the nearest to -2? (a) -2 (b) w (c) -4/37 (d) -0.1
a
Let x = 57.5177 + 0.4823. What is the nearest to 5 in -4, 0.2, x?
0.2
Let y be 1 + 3 - (-12)/(-2). Let p be (-286)/(-26) + (-1004)/92. Which is the nearest to 0.1? (a) -0.3 (b) y (c) -0.4 (d) p
d
Let u be -18*(-1 - (-36)/8). Let q be u/(-36) - (-1)/4. What is the closest to 0 in 0, 5, q?
0
Let d = 78 + -83. Let r = -2/189 - -8/27. Suppose 0 = 3*u - 8*u + 10. What is the nearest to r in 3, u, d?
u
Let z(o) = o**2 + 3*o + 1. Let m be z(-3). Let v = 205 - 208. Let g be (-3)/3 + 2*1/v. Which is the nearest to 0? (a) g (b) m (c) -1/8
c
Let d = -18822 + 18801. What is the closest to -0.19 in d, -3, 2/7?
2/7
Let p = 4726.8 + -4727. What is the closest to -5 in p, 18, -2?
-2
Let x be 12/(-63)*2261/102 + -1 + 5. Let d = 1249/10 - 125. Which is the nearest to x? (a) -1 (b) d (c) 5
b
Let s = -1458 - -1459. What is the nearest to 1/11 in 2/17, s, -4?
2/17
Let v = 4.9168 - -0.0832. Let y = 7 + -6.2. Which is the nearest to -0.1? (a) -1/6 (b) y (c) v
a
Let y = -0.391 - -114.891. Let o = y - 114. Which is the nearest to 0.1? (a) o (b) 4 (c) -1/4
c
Let f be ((-7)/((-560)/12))/(15/(-25)). Which is the nearest to -5/3? (a) -3/10 (b) -2 (c) f (d) -4
b
Let u = -3 + -6. Let s = -0.24 + 0.74. Let x = -1/482 - 479/1446. What is the closest to x in 4/5, s, u?
s
Suppose -19 = 57*m - 76. What is the closest to m in -3/2, -2/3, 0, -16?
0
Let h = 29.81 - 30.01. Let g = -5 + 9. Let v be 3/(6/g) - 0. What is the closest to h in -4, 0, v?
0
Let p = 3552.5 + -3552. What is the nearest to -3/4 in -5/7, 6, p, 2?
-5/7
Let j be ((-60)/(-45) - 2)*1. Let a(i) = i**3 - 7*i**2 + i - 8. Let h be a(7). What is the nearest to j in -5, h, -0.4?
-0.4
Let l = 11.22 - 12.7. Let x = l + -0.52. Let f = -2/9 - -19/45. What is the closest to 1 in f, -2/23, x?
f
Suppose 167*j = -139*j - 5202. Let g = 3/4 + -5/4. What is the closest to g in -1, -4, j?
-1
Let d = 797 - 797.1. Which is the nearest to d? (a) 2/3 (b) 27 (c) 1/4
c
Let w = -6168 + 6168.8. Let o = -629/4 - -747/4. Let x = -30 + o. Which is the closest to x? (a) w (b) 4 (c) 1/3
c
Let f = -78/343 + -69/343. Which is the nearest to 10? (a) -0.4 (b) f (c) -0.088
c
Let b = -5 + 5.4. Let l(u) = -11*u - 182. Let t be l(-10). Let d = t - -427/6. What is the nearest to -0.2 in d, 3, b?
b
Let f = -33564 + 33563.495. What is the closest to f in 0, 1/2, 3?
0
Let p = 0.1 - -0.9. Let z = -12.48973 - -8.48973. What is the closest to p in 0, 12, 1/2, z?
1/2
Let v = 102/7 - 491/14. Let i = v + 21. What is the closest to 7 in -1/5, i, 0.1?
i
Let w = 2.3 - 0.3. Let a = -1.9 + w. Let g = -590232/5 - -118046. What is the closest to g in a, -0.06, 4?
-0.06
Suppose 3*c + 32*j = 36*j - 9, 4*j = 12. What is the nearest to c in -1/12, -0.06, -1/8, -3?
-0.06
Let j = 0.6 + 1. Let v = -41.9 + 29.4. Let z = v - -12.4. Which is the nearest to -0.2? (a) 2/9 (b) j (c) z
c
Let p = -3.318 + 3.118. What is the nearest to 0.2 in p, 2/5, 0.29, -3?
0.29
Let n = 2.336 + -1.036. Let u be (20/(-5))/2 + 2. Which is the nearest to -1/2? (a) -0.3 (b) n (c) u
a
Let m = 48 + -49.22. Let i = -5.68 + m. Let s = i + 7.2. What is the nearest to 0.1 in 0, 5, s?
0
Suppose -3*q = 2*q - 3*c, -4*q + 3*c = 3. Suppose 11 = 2*m - q. Suppose 0 = 5*i + 10, -m = 3*o + 3*i + 2. What is the nearest to o in -4, 0.4, 5?
0.4
Let u = -3902 + 3900. Which is the nearest to 0.4? (a) 8 (b) u (c) -4/9
c
Suppose 1131 = 35*y + 1096. Suppose -5*z - 65 = -5*i, -i + 49 = -3*z + 4*i. What is the closest to -2/3 in y, -3, 4, z?
y
Let o = -0.04 + 54.04. Let i = -46 + o. Let g = i - 13. What is the closest to 2/5 in -5/3, -4, g?
-5/3
Suppose 2*m + 6 = 16. Let x = -725/287 + -160/41. Let h = x - -239/35. Which is the nearest to 0.04? (a) h (b) m (c) 2/7
c
Suppose 0 = 2*g + k + 69, 60 = -2*g - 6*k + 8*k. Which is the nearest to -5/6? (a) 0 (b) g (c) -0.5 (d) 1.1
c
Let z = 11 + -16. Let h = -4.94 - z. Suppose -3*i - 5*d - 19 = -i, 4*d = -20. Which is the closest to 2/5? (a) h (b) i (c) 2/3
c
Let x = -51801/77701 - -1/233103. Let c = -2 - -2.1. Let h = -1/2 + 1/14. What is the closest to c in h, -0.5, x?
h
Let s = -2 + 3. Suppose 4*n - v = -129 + 112, -2*v = 5*n + 18. Which is the nearest to s? (a) 4/3 (b) 0.1 (c) n
a
Let f be -2 + 10/2 - 1. Let z = 173 + -173. Let j be ((-3)/15)/(2 + -1) + z. Which is the nearest to f? (a) j (b) -1 (c) -3
a
Let p = -0.1 - 0.2. Let m be ((280/(-21))/(-8))/((-5)/(-6)). Suppose 1 = t - 5*x, -3*x - 2*x + m = 2*t. Which is the nearest to t? (a) -0.4 (b) p (c) 3
b
Let l = 59 + -54. Let m = -1.239 + 0.239. What is the closest to 1 in l, m, 2/15?
2/15
Let z(x) = 2*x**3 - 56*x**2 + 46*x + 216. Let n be z(27). Which is the nearest to 1? (a) 4/3 (b) -5 (c) -10 (d) n
a
Let h(z) = 2*z + 54. Let f be h(-27). Suppose f = 20*i - 13*i - 7. Which is the nearest to i? (a) 4 (b) -61 (c) -0.2 (d) 0.1
d
Let s = 0.1896 - -0.1104. What is the nearest to 3 in -2/113, 3/4, s?
3/4
Let p = -3756 + 3759. Which is the nearest to -1? (a) 2 (b) -18 (c) 2/21 (d) p
c
Let c = -0.8089 + 0.9089. What is the nearest to c in -2/5, -1, -1/3, -71?
-1/3
Let u = -3.0704 + 2.8404. Which is the nearest to u? (a) -5 (b) -0.3 (c) 1/8 (d) -2/7
d
Let g = 16238.7 + -16239. Which is the closest to -2? (a) -0.026 (b) -1/4 (c) g (d) 0.09
c
Let s = 128/205 + -1/41. Let i = 125 - 189. Let h = -65 - i. Which is the nearest to 1? (a) s (b) h (c) 1
c
Let v = -2.0283 + 1.1983. Which is the closest to -1? (a) 21 (b) v (c) -0.3
b
Let d = 0.0239 + 0.0761. Let g be (-1)/(-4 + 6 - 11/2). Which is the closest to g? (a) -0.3 (b) 3 (c) d
c
Let h = 232 - 1620/7. Let n = 8113.8 - 8114.3. Let l = -0.2 + -0.1. Which is the nearest to l? (a) h (b) -5/2 (c) n
c
Let k = -953/36 + 105/4. Let j = -788 + 792. Which is the nearest to 0.04? (a) j (b) 0 (c) k
b
Let h be (52402/(-210))/(-19) - 13. Which is the closest to -0.1? (a) h (b) -0.4 (c) 0.1 (d) 0.5
c
Let x = -1.4 + 1.9. Let p = 10005 + -10002. Which is the closest to -1/5? (a) x (b) p (c) -1 (d) -0.4
d
Let m = 1.4 + -1.328. Let t = m - 3.072. What is the closest to 1.2 in 3, -0.5, t?
-0.5
Let s = 2655.4 - 2697. Let w = 19 - 61. Let o = s - w | {
"pile_set_name": "DM Mathematics"
} |
(z**(-3/5)*z)/z)/z)*(z*z**(-5/4)*z*z)/((z/(z*z*z**(1/3)*z))/z)*((z*z**(-1))**(18/7))**(-23) assuming z is positive.
z**(281/60)
Simplify (i**10/(i**(9/10)*i)*(i**(-1)*i)/(i*i**10))**(-39) assuming i is positive.
i**(1131/10)
Simplify (q**(-1/2)/(q/(q/q**6)))/(q**(-3/5)*q*q*q*q**(-5)*q)*((q/q**(-6)*q)/q**(2/7))/(q/q**(2/5)*q**(-6)/q) assuming q is positive.
q**(129/14)
Simplify ((c**(-5/4)/(c*c**(-1/2))*(c*c*c/c**(3/2)*c)**(-50))**(-17))**15 assuming c is positive.
c**(129285/4)
Simplify ((l**8*l)**(12/11)*((l/l**(-3/13))/l)/(l*l*l**(-4)))**(43/2) assuming l is positive.
l**(74089/286)
Simplify (a**(-2/37)*a**(9/5))/(a**(-1/8)/(a**42*a)) assuming a is positive.
a**(66409/1480)
Simplify ((((h**(-1/3))**(-2/15))**25)**47)**(-10) assuming h is positive.
h**(-4700/9)
Simplify (s*s**34*s/s**(-1/16))/(s**(3/38))**(-7/6) assuming s is positive.
s**(10991/304)
Simplify (s/(s**5/s)*s*s**5/s*s*(s*s**(1/4))**(-5))/(s**5*(s**(-1/3)*s)/s*s**5/(s**2/s)) assuming s is positive.
s**(-143/12)
Simplify ((z*z**(1/3)*z)/(z/(z**(-3)/z))*(z/(z**(2/15)/z))**(31/2))**27 assuming z is positive.
z**(3546/5)
Simplify ((p*p*p**(-2/11)*p*p**(-20))/((p/(p/(p*p**(-5/4))))/p*p**19))**32 assuming p is positive.
p**(-12296/11)
Simplify ((g**(-3/5)/(g*g**(-4)))/(((g/(g*g*g**(1/2)/g))/g*g)/g**(-1/3)))/((g/g**(-2))**49)**49 assuming g is positive.
g**(-216013/30)
Simplify (s/s**(1/4))**(-26)*s/(s/(s/s**(2/13)))*s**(2/7)*((s/s**4)/(s*s/s**(-1/4)))/(s*s**(1/3)*(s/((s**0/s)/s))/s) assuming s is positive.
s**(-29431/1092)
Simplify ((m**(2/11)/m)**(-3/20)*(m/m**(1/6))/(m**(-4/9)*m*m))**(10/3) assuming m is positive.
m**(-1187/594)
Simplify ((n**(-1))**(-1/7)*((n*n**(-10)*n*n)/n)**(-29))**(-18) assuming n is positive.
n**(-29250/7)
Simplify ((l*l/l**(-1/2))**(-22)/(l**(-2/9)*l/l**(2/21)))/((l**(-2/17))**(-1/2))**(-17/5) assuming l is positive.
l**(-17477/315)
Simplify (f/(f**(-4/5)/f)*f*f**(2/15))**(-20/3)*(f*(f*f*f**(2/13)*f)/f*f*f*f**(-1)/f*f*f*f)**20 assuming f is positive.
f**(11332/117)
Simplify w**3/w*w*(w**5*w)/w*w**(-3)*w*w**(-3/7)*w**5*w*w**6/w*w**4/w*w*w**(3/4) assuming w is positive.
w**(597/28)
Simplify (((m**0/m)**9/(m**(-7)/(m*m**(-1/4)*m)))**(6/7))**(-2/21) assuming m is positive.
m**(1/49)
Simplify (i**1)**(2/25)/(i*i/(i/i**(2/7))*i*i**4*i)*i**5*i/(i/(i/i**(-7)))*i*(i/(((i/i**(-5)*i)/i)/i)*i)/(i**2*i) assuming i is positive.
i**(139/175)
Simplify ((h**(-2/9)*h*(h**(-2/9)*h)/h)/(h**(-1/4)*h*h/(h*h**(2/9)*h)))/((h**2/h)**(-40))**21 assuming h is positive.
h**(30277/36)
Simplify (w/(w/w**6))/w*w/w**(-3/8)*(w**(-43))**(-2/83) assuming w is positive.
w**(4921/664)
Simplify j/j**(-13)*j**(-2/95)*j*j**50/((j/j**16*j)/j) assuming j is positive.
j**(7598/95)
Simplify (s**2*s**4)**(4/11)/((s*s**(-1))**(2/59)/((s*s**(-3/7)/s)/s*s*s*s**(4/7))) assuming s is positive.
s**(256/77)
Simplify (y*y**(2/23)*y*y*y/(y**5/y)*y*y**8*y*y**(1/22))**(-22/7) assuming y is positive.
y**(-5127/161)
Simplify ((w*w**(2/3))/w)/w**4*w**1/((w**(-2/7)/w)/w)*(w**3/w*w*w*w**2)/((((w/(w*w**(-1/7)))/w)/w)/(w/w**(-2))) assuming w is positive.
w**(227/21)
Simplify ((w/(((w/((w**1/w)/w))/w)/w))/w*w)**(-2/63)/(w*w/(w**(1/3)/w))**(-17)*(w**(-3)*w**4)**(-2/121) assuming w is positive.
w**(345208/7623)
Simplify ((j**(-3)/j**(-1))/(j**3*j/(j*j/(j/j**(-5))*j)))/((j/j**(-2/7)*j)/(j/((j*j/((j*j**(-3/2))/j))/j)))**27 assuming j is positive.
j**(-1557/14)
Simplify (w**(10/7)/(((w/((w/w**13)/w))/w*w)/w)*(w/w**(-8))**(-37))**44 assuming w is positive.
w**(-106128/7)
Simplify ((((s/s**(5/4))/s*s*(s**(-1/8)*s*s)/s)/((s/(s*s*s/s**0*s*s*s))/s)**(-1))**(-32/5))**38 assuming s is positive.
s**(6536/5)
Simplify (v**5/(v**6*v))/(v**(2/5)/v**(-4))*(v**(-1/2))**39/(v/(v/(v*v**(-1))))**(3/25) assuming v is positive.
v**(-259/10)
Simplify (((p*p**(-13)/p*p*p)/p**(1/3))/((p*p**(-17)*p)/p*p**(2/11)))**8 assuming p is positive.
p**(1184/33)
Simplify (t**(-12)/t*t)/(t**15*t)*t/t**32*t**(-4/5) assuming t is positive.
t**(-299/5)
Simplify (a/(a*(a**(-1/2)*a)/a)*((a/(a*a*a**(-1)*a)*a)/a)/a)/(a**(-6)*a**(3/5))*((a*a*a**(2/5)*a)**(-7))**1 assuming a is positive.
a**(-199/10)
Simplify ((g*g**(-4)*g**(1/2))/(g/g**(-1))**(-22))/((g*(g/g**(1/3))/g)**28)**9 assuming g is positive.
g**(-253/2)
Simplify (g**(-2))**35/(g**(-1/2)/(g/(g*g*g**(-1/6))))*g**(-1/6)/g*g*g**(1/3)*(((g*g**1)/g)/g)**2 assuming g is positive.
g**(-421/6)
Simplify l*l**13/l*l**(-7/9)/l*l/(l/l**(5/6))*l**(-23) assuming l is positive.
l**(-197/18)
Simplify (((i*i*(i**(1/3)/i)/i*i)/i**(-4/9)*(i*(i/i**(-1)*i)/i)**(-5/14))**(-7/11))**(-3/22) assuming i is positive.
i**(89/1452)
Simplify l**(-3/5)/(l**(-3)/l)*(l**(1/3))**5*((l/(l*l/(l*l/(l/(l/(l/l**(-2))))))*l)/l**(-2/5))/(l**(-2/5)/l)**(-39) assuming l is positive.
l**(-752/15)
Simplify ((((a**(-2/13)*a)/a)**(-12)/(a*a**(-4/7))**(-43))**(1/36))**(-2/107) assuming a is positive.
a**(-205/19474)
Simplify ((d*d*d*d**(-2)*d)**(-42)*(d/(d/d**(-3/5)))**22)**(1/5) assuming d is positive.
d**(-486/25)
Simplify (((v/(v**15/v))/(v*v/v**(-3/19)))/(v**(-2/19)/v)**(-50))**(-1/35) assuming v is positive.
v**(1338/665)
Simplify ((z**(-23)*(z/z**(1/68))/z*z)/(z**(1/19))**1)**45 assuming z is positive.
z**(-1282995/1292)
Simplify ((c**(-1))**41)**34/(c*c**(11/3)*c*c**(6/7))**(-4/15) assuming c is positive.
c**(-438562/315)
Simplify ((u**(2/3))**(-2/83))**(-21/4)*((u*u**(-4/7)*u*u)/((u/u**(3/7))/u))/(u**(1/4)/u*u**(2/7)) assuming u is positive.
u**(7915/2324)
Simplify (q**(-3/7)/q**6)**(35/6)*q*q/(q**(1/2)/q)*q*q/(q/q**(-1/6))*q**(2/11)*q**6 assuming q is positive.
q**(-1847/66)
Simplify (t*(t*t**(-6/23))/t)**(-7)/(t**(4/17)*t**(-28)) assuming t is positive.
t**(8833/391)
Simplify (y**(1/2)/y**(2/7)*(y**(2/7)*y)**41)/((y**(-2/5)*y**(1/7))/(((y*y/(y/y**0))/y)/y**(1/2))) assuming y is positive.
y**(1844/35)
Simplify (z**1*z/z**(-1/9))/(z/(z/((z*z**(1/2))/z*z)))**(-3/20)*((z**(-2/3))**(-6/5))**49 assuming z is positive.
z**(14953/360)
Simplify (l**(-42)/l**(-1/5)*(l/l**(-20))/(l**40/l))**25 assuming l is positive.
l**(-1495)
Simplify (((c*c**1)/c)**(-12)/(c**(-1/8)/c)**(-1/93))**(1/19) assuming c is positive.
c**(-2979/4712)
Simplify ((w*w*w**2/w)**(-1/24)/(w*w/w**(-3/2))**(-24/7))**9 assuming w is positive.
w**(855/8)
Simplify (n/(n/n**(-5/3))*n*n**(-10)*(n*n*n**(-2/3)*n)**(-5/2))**(3/14) assuming n is positive.
n**(-99/28)
Simplify (c**(1/3)/c**8*(c*c*c/(((c/(c*c**(-2/5)))/c*c)/c)*c*c)**(1/2))/(c**(-1/8)/c*c/c**(-1/9)*c)**(-31) assuming c is positive.
c**(9253/360)
Simplify ((a*a**1)**(-9/4)*a**(-1)/a*a**4)/(a**4*a**(-1/2)/a)**(1/14) assuming a is positive.
a**(-75/28)
Simplify z**(1/2)/(z*z/(z/z**(-8)))*z**(1/6)/(z*z**(-2/17))*((z/z**(-2/11)*z*z)/z*z/z**8)/(z**(-2/7)*z**(-1)) assuming z is positive.
z**(12770/3927)
Simplify ((z/z**(-2))/z*(z**(-4)*z)/z*(z/(z**(1/12)/z))/z**(-7))/((z**0)**(-22)*(z/(z**(-1/2)*z*z))**29) assuming z is positive.
z**(257/12)
Simplify ((((n**0)**(-7))**(-38))**(12/5))**35 assuming n is positive.
1
Simplify (((((u*u**5)/u*u)/u)/u)/(u*(u*u**(-4/3))/u))/((u/(u*u**(-2)*u)*u)/u**4) assuming u is positive.
u**(19/3)
Simplify (((o/(o**(-2/49)*o))/o)/(o*o*o*o**(-4/19)*o))/(o/(o**(-6/7)/o)*o**(19/3)) assuming o is positive.
o**(-38932/2793)
Simplify (s**21*((s/s**(-30)*s)/s)/s*s*s**(14/11)*(s/s**(-5/2))/s)**(-5/2) assuming s is positive.
s**(-6135/44)
Simplify ((j**(1/17))**(-26)*(j**(-3/5)/j)**(4/31))**(-6) assuming j is positive.
j**(27444/2635)
Simplify ((x/x**(4/11))**(2/31)/(x**(5/2)/(x**(-4/13)/x)))**(3/44) assuming x is positive.
x**(-100185/390104)
Simplify f*f/((f*f*f/f**(1/8)*f)/f)*f*f**(1/5)*f*(f/(f/(f*f*f**(-2/3)))*f)/(f*f**(-3/2))*(((f**(1/13)*f)/f)/f*f**(-1/6))**(5/7) assuming f is positive.
f**(12303/3640)
Simplify ((q**(-2/7))**4*(q/q**1)/q**(2/3))/((q*q/(q*q**(1/2)))**(3/19)*q**2/q*q/(q**(1/5)/q)) assuming q is positive.
q**(-18707/3990)
Simplify (u/(u**17*u))**(9/5)*(u/((u/u**(-16))/u*u)*u)**15 assuming u is positive.
u**(-1278/5)
Simplify ((n*n**(-2/5))/n*n**(5/2)*n**(-4/5)*n**23)**(-22) assuming n is positive.
n**(-2673/5)
Simplify r/r**3*r/r**(-2/19)*(r**(-2/5))**(1/94)*((r**1*r*r)/r*r*r)/(r*r/(r*r/(r*r/((r**(5/6)/r)/r))))*r**(2/7)/(r/r**(-2/7)*r) assuming r is positive.
r**(-55339/26790)
Simplify ((i**(-3/19)*i/(i*i*i*i**(21/5)))/(i*i*i**(1/2))**(5/12))**(-28) assuming i is positive.
i**(118097/570)
Simplify | {
"pile_set_name": "DM Mathematics"
} |
Suppose -4*t + 10 = p, 4*t - 20 = p + 2*t. Let y(d) = -8*d - 9. Let j be y(p). Suppose -5*u - g + j = 3*g, 48 = 4*u + g. What are the prime factors of u?
11
Let c = 2619 + -16. List the prime factors of c.
19, 137
Suppose 262 = f + 5*h - 19, 3*h + 1321 = 5*f. What are the prime factors of f/30 - (-18)/135?
3
Let g(z) = -164*z - 30. What are the prime factors of g(-3)?
2, 3, 7, 11
Suppose -5*k + k = -8. Suppose 0 = -6*f + 3*f - 6, -2*m + k = 4*f. Suppose m*v - 5 - 35 = -5*u, -3*v = -2*u - 44. List the prime factors of v.
2, 3
Suppose 16*l + 1272 = 24*l. Let d = -54 + l. What are the prime factors of d?
3, 5, 7
Suppose d = -z + 1256, 4*z - 4*d - 1912 = 3128. What are the prime factors of z?
2, 17, 37
Let n = 44 + -44. What are the prime factors of n/9 + (91 - 1)?
2, 3, 5
Let g = -19 - -16. Let y(b) = 17*b**2 - 9*b - 15. What are the prime factors of y(g)?
3, 5, 11
Let g(i) = -i + 3. Let u be g(6). What are the prime factors of 5148/54 + ((-2)/u)/1?
2, 3
Suppose 0 = 3*z - 46 - 44. Let d be (-38)/12 + 5/z. What are the prime factors of ((-26)/d)/((-2)/(-6))?
2, 13
What are the prime factors of (-2)/5*-10 - -305?
3, 103
Let t(l) = l**2 - 12*l - 25. Let s be t(12). Let m(r) = r**2 + 22*r + 48. What are the prime factors of m(s)?
3, 41
Let x(c) = -c**3 + 2*c**2 - c - 1. Let j be x(2). Let l(s) = -5*s + 2. Let d be l(j). Let k = d + -5. List the prime factors of k.
2, 3
Let z = 31 - 30. Let l be (2 + -5)*(-2 + z). Suppose 0 = l*u + 2*x - 162 - 46, -u + x + 66 = 0. What are the prime factors of u?
2, 17
Let o(s) = s**2 - 7*s + 6. Let t be (-642)/22 - (-4)/22. Let k = -21 - t. List the prime factors of o(k).
2, 7
Let d(b) = -34*b**2 + 3*b - 1. Let c(o) = 34*o**2 - 3*o + 1. Let n(t) = -4*c(t) - 5*d(t). What are the prime factors of n(2)?
131
What are the prime factors of (-10)/(4 + (-868)/216)?
2, 3, 5
Let v = -301 + 311. Let n be (-598)/6 - (-1)/(-3). List the prime factors of (5/v)/((-2)/n).
5
Let y be (19/((-19)/(-18)))/((-4)/6). Let m = y + 89. What are the prime factors of m?
2, 31
Let s be (-2)/8 - 51/(-12). Let m(i) = i**2 + 13*i - 11. Let c be m(10). Suppose 3*x = s*x + j - 45, -j = -5*x + c. List the prime factors of x.
2, 11
Let f = -555 - -1152. List the prime factors of f.
3, 199
Suppose 0 = -2*h - 2*b - 256, -4*b + 3*b + 124 = -h. List the prime factors of 18*((-1590)/h + (-4)/14).
2, 3, 37
Let s = -16 - -17. Let y be -2 - s - 0 - -11. What are the prime factors of (-12)/y*-5*4?
2, 3, 5
Let r(q) = -q + 16 - 2*q - 23. Let t be r(-4). Suppose t*x = -0*x + 90. List the prime factors of x.
2, 3
Let g(v) = 4*v + 5. Let p be g(4). Suppose 0*o - 2*o + p = -y, 29 = 3*o - 2*y. Suppose -50 = -3*j + o. List the prime factors of j.
3, 7
Let k be 0*4/12 + 0. Suppose k = 5*r - 6*r + 37. Suppose j + 3*j - 75 = c, -c - r = -2*j. What are the prime factors of j?
19
Let f(x) = -362*x - 29. List the prime factors of f(-3).
7, 151
List the prime factors of 101236/36 - ((-51)/27 + 2).
2, 19, 37
Suppose -18*w + 14*w = 2*m - 1572, -3*w = 3. What are the prime factors of m?
2, 197
Let p = 9 - -134. Let t = 25 + p. List the prime factors of t.
2, 3, 7
Let z(g) = -26*g + 41. List the prime factors of z(-14).
3, 5
Let l = -81 + 81. Let m = -1 - -6. Let y = m - l. What are the prime factors of y?
5
Suppose 7*f - 9*f = -88. Suppose 0 = -2*t + 168 + f. List the prime factors of t.
2, 53
Let q(b) = -3*b**2 + 14*b - 5. Let l be q(4). Suppose -5*u = a - 82, 2*u + 314 = -l*a + 6*a. List the prime factors of a.
2, 3, 17
Let h(m) = 5*m - 26. Let c be h(6). Let y(p) = 4*p**3 - 6*p**2 + 6*p - 2. What are the prime factors of y(c)?
2, 7, 13
Suppose 0 = -s + 22 + 10. List the prime factors of s.
2
Let v(m) = 3*m - 6 + 0 - 2 + m**2 - 3. List the prime factors of v(-11).
7, 11
Suppose 0 = -8*i + 4*i + 2*p + 10442, i + 5*p = 2638. List the prime factors of i.
3, 13, 67
Let w(i) = -19*i**3 - i**2 - 42*i - 10. List the prime factors of w(-6).
2, 5, 431
Let g = 10 - 6. Let d = 82 - 72. What are the prime factors of g/(-10)*(-80 + d)?
2, 7
Let a = -8 + 16. Suppose 8 = 4*l - a. Let k = 3 + l. List the prime factors of k.
7
Let x(j) = 1325*j**2 + 2*j - 13. List the prime factors of x(2).
11, 13, 37
Suppose 0 = 3*l - 0*l - 4*f + 5, f + 1 = 0. Let s = -1 + l. List the prime factors of 4199/169 - s/26.
5
Let h = -214 + 300. Let r = -23 + h. List the prime factors of r.
3, 7
Suppose 0 = -2*a - 4 - 2. Let f be (-6 - a) + 3 - -4. Suppose 0 = y - r + 3*r - 32, -119 = -f*y - 5*r. List the prime factors of y.
2, 13
Let w = 17 + -12. Suppose 0 = 5*n - 2*m - 22, 5*n + w*m = 2*n + 7. List the prime factors of (-57)/(-2) + (-2)/n.
2, 7
Let r(s) = 2*s**2 + s - 1. Let u be 1 - ((-2 - -1) + -2). Suppose 0*l - 8 = u*l. List the prime factors of r(l).
5
Suppose 2*x - 57 = 45. Suppose x*g - 624 = 47*g. List the prime factors of g.
2, 3, 13
Suppose 5*s = 2*s + n - 37, -2*s + n - 25 = 0. Let m be 15/2 + (-18)/s. Suppose -2*w + 105 = -m. What are the prime factors of w?
3, 19
Suppose 3*j + 5 = -7, -4*d + 5*j = -36. Suppose -d*m = x - 74, 4*x + x + 3*m = 438. List the prime factors of x.
2, 3, 5
Let w = 55 + -15. Let t = w + -66. Let n = t + 51. What are the prime factors of n?
5
Let c be 57/95*(-10)/2. What are the prime factors of 47 + -9 + 4 + c?
3, 13
Suppose -4*z + 5*l = -0*z - 18, -2*z = 4*l + 4. Let t be -22 + (-6 - -3) + z. What are the prime factors of 3 - (t + 2 - 2)?
2, 13
Let l(h) = -4*h**3 - 12*h**2 - 3*h + 7. What are the prime factors of l(-5)?
2, 3, 37
What are the prime factors of 1/(-5) + 24492/60?
2, 3, 17
Suppose 712 = 2*k + 5*i, -k + 4*k - 1068 = 5*i. Suppose 3*h = -2*h + 3*j + k, -274 = -4*h - 3*j. List the prime factors of h.
2, 5, 7
Let p = 214 + -43. Let o = -111 + p. List the prime factors of o.
2, 3, 5
Let l(r) be the second derivative of r**5/10 + r**4/12 - 5*r**3/6 + 7*r**2/2 - 3*r. What are the prime factors of l(3)?
5, 11
Suppose 3*y - 6*q + 7*q = 3669, 0 = 3*q + 9. What are the prime factors of y?
2, 3, 17
Let n = 59 - -13. Suppose -4 = u + 39. Let b = n + u. What are the prime factors of b?
29
Let n = 3 - -1. Suppose -19 = -n*m + 17. List the prime factors of m.
3
Let v(l) = l**2 + 5*l + 17. Let r be v(-7). Let o = r - -2. List the prime factors of o.
3, 11
Suppose 0 = -3*z - 17 + 2, -z = 3*w + 5. Suppose w = -9*n + 12*n - 384. List the prime factors of n.
2
Suppose -3*a = 4*s - 1301, -3*a + 407 = 5*s - 1220. What are the prime factors of s?
2, 163
Suppose 17*v + 2072 = 24*v. What are the prime factors of v?
2, 37
Let x(o) = -o**3 - 3*o**2 + 6*o. Suppose -21 = 3*t - 6. List the prime factors of x(t).
2, 5
List the prime factors of 3*1 + 0 + (-54 - -545).
2, 13, 19
Suppose -113 = -5*g + 427. Suppose -2*j + 118 = t, 0 = 2*t - t + 4*j - g. List the prime factors of t.
2
Let s(p) = p**2 - 2. Let x be s(2). Suppose 0 = -x*y + 4*y - 18. What are the prime factors of y?
3
Let p(k) = 2*k + 24. Let s be p(-5). Suppose 32 = 2*j + s. List the prime factors of j.
3
Suppose 4*h + h - 2*o - 37 = 0, -5*h = -4*o - 39. Let s(t) = 11*t**2 - t**3 + 9*t + 1 - 5*t**2 - t. List the prime factors of s(h).
2
Let q(r) = 13*r**2 + 33 - r**2 - 12*r + r**2 + r**3. What are the prime factors of q(-14)?
5
Let p(o) = -30*o. Let t be p(-2). Suppose 6*k - t = 2*k. Suppose 5 + k = 2*s. List the prime factors of s.
2, 5
Let f(m) = -4*m**2 + 8*m + 15. Let l(v) = v**2 - v - 1. Let c(s) = -f(s) - 2*l(s). Suppose 0 = 7*w - 6*w - 6. List the prime factors of c(w).
23
Suppose -5*g + 4 = -16. Suppose g*o - q - q + 112 = 0, 3*q - 28 = o. List the prime factors of (-1 - 0)/(-1) - o.
29
Let l(v) = v**3 - 17*v**2 + 20*v + 35. Let h be l(16). Suppose 3*t = -3*k + 231, 3*t + h = 5*k - 278. What are the prime factors of k?
2, 19
Let z(j) = 2 + 7*j + 5*j**2 + 1 - j**3 + 7*j. Let l be z(7). Suppose 3*d = -0*x - l*x + 39, -5 = 5*x. List the prime factors of d.
2, 7
Suppose -5*a + 3*s + 1958 = 0, 0*s + 5*s = -5. List the prime factors of a.
17, 23
Let f be (-4)/2*1/(-2). Let d = 2 + f. Suppose -o - 2 = -3*y - 25, -3*y + 69 = d*o. List the prime factors of o.
23
Suppose 0 = -o + 3*s + 4305, 0*o - 5*o - 4*s + 21487 = 0. List the prime factors of o.
3, 1433
Let q = 316 + -189. What are the prime factors of q?
127
Suppose 44 = 3*u + 2*w, 4*u - 2*w - w = 87. Suppose -u = -m + 3*s, m + 2*s - 4 = -m. List the prime factors of m.
2, | {
"pile_set_name": "DM Mathematics"
} |
-27*y + 242. Let g be j(9). Let t be b(g). Round t to the nearest ten.
90
Suppose 7*p - 10*p + 5*a - 859920025 = 0, -p = -5*a + 286640025. Round p to the nearest 1000000.
-287000000
Let c = 53.17 + -10.47. Let q = c - 359.7. Let v = q - -316.99999841. Round v to seven decimal places.
-0.0000016
Let z be ((-859814)/4)/((-20)/40). Let f = z - 943573. Let o = f + 6913666. What is o rounded to the nearest 1000000?
6000000
Let u be (11 + 1)*(-4 - 21/(-7)). Let z(s) = 2*s**2 + 9*s - 9. Let d be z(u). Let b = d - 366. What is b rounded to the nearest ten?
-200
Let h = 350 - -297. Let z = -420 + h. Let b = z - 214.9. Round b to the nearest 10.
10
Let u = 113.0259 - 0.0259. Let a = -112.9999853 + u. What is a rounded to five decimal places?
0.00001
Let v = 2354.4562 + -2354. What is v rounded to 2 dps?
0.46
Let r = 3.03 - -0.07. Let g = 2.4 + r. Let l = -5.401 + g. What is l rounded to 2 decimal places?
0.1
Let z = 0.632 - 0.404. Let h = 0.0838 - z. Round h to two decimal places.
-0.14
Let z be -2399*((-2)/(-5))/((-17)/85). Suppose -1158 = -14*k - z. Round k to the nearest one hundred.
-300
Let i = 2266606426 + -2266606545.0000027. Let g = i + 119. What is g rounded to 6 dps?
-0.000003
Let g(j) = -4274*j - 1796. Let s be g(131). What is s rounded to the nearest 10000?
-560000
Let z = 0.32143 - 0.340733. Round z to 3 decimal places.
-0.019
Let s = 562.07585 + -561.8. Round s to 2 decimal places.
0.28
Let d = 31096 + -31095.99946409. Round d to 4 decimal places.
0.0005
Let t = 10082.03656 + -10082. What is t rounded to three dps?
0.037
Let m = -75642 + 75641.999967081. What is m rounded to five dps?
-0.00003
Let l = -0.668 + 0.6147. What is l rounded to 2 dps?
-0.05
Let v = 9973.110142 - 9973. Let y = 0.11 - v. Round y to five decimal places.
-0.00014
Suppose 176 = -2*n - 14. Let q be (-2)/(-5) + (-10425927)/n. Suppose -364253 = 3*f + q. What is f rounded to the nearest 10000?
-160000
Let o = 47135 + -47135.0031189. Round o to 5 dps.
-0.00312
Let l be (-4)/((-32)/60)*(-37664)/(-33). Let h = -14380 + l. Round h to the nearest one hundred.
-5800
Let c = -8855.0015629 - -8855. What is c rounded to 3 decimal places?
-0.002
Let g = -6355861.10400072 + 6356106.104. Let m = g + -245. Round m to six decimal places.
-0.000001
Let s = -1.8395342 + -0.0965208. Let b = -1.94 - s. Round b to four dps.
-0.0039
Let n be -5 + (26/39)/((-2)/(-27)). Suppose -300933 - 190267 = 4*i + l, -n*l = -5*i - 614000. What is i rounded to the nearest ten thousand?
-120000
Let i = -3241.985830232 + 0.985984932. Let o = i - -3241. What is o rounded to 5 decimal places?
0.00015
Let b(q) = q**3 - 3*q**2 - 25*q + 88. Let s be b(4). Suppose -2*r - 30019995 = 2*k - 3*k, k = s*r + 60039995. What is r rounded to the nearest one million?
-15000000
Let o be 11443508400/640 + (-1)/(-8). Suppose -14*r - o = 35011518. What is r rounded to the nearest 1000000?
-4000000
Let w = 735 - 709.74. Let a = -27.103 - -1.103. Let s = a + w. Round s to 1 dp.
-0.7
Let j = -0.1351 - -0.1348773. Round j to 4 decimal places.
-0.0002
Let z(n) = -n**2 - 5041*n**3 - 4 - 4*n - 1 + 4 - 3*n**2. Let r be z(-1). What is r rounded to the nearest one thousand?
5000
Let g = -2473 - -2473.000019504. Round g to 5 dps.
0.00002
Let y = 3.95 - 3.3. Let i = -110020.650035 - -110020. Let u = i + y. Round u to five dps.
-0.00004
Let q = -5158 + 5157.9986168. Round q to 3 dps.
-0.001
Suppose 8*y = -33683 - 8728 + 5907. What is y rounded to the nearest one thousand?
-5000
Let d(c) = 9*c - 950. Suppose 1 = y - 4*b, -1 = 2*y + 3*b - 14. Let q be (4 - (y - 1))*1/(-2). Let l be d(q). What is l rounded to the nearest one hundred?
-1000
Let p = -4949 - -14550. Suppose 2*l - 3*l + p = -2*h, l + 14399 = -3*h. Round h to the nearest one thousand.
-5000
Let k = 15.6983 - 12.84677. Let h = 1649 - 1651.85. Let y = h + k. What is y rounded to four dps?
0.0015
Suppose -2*t + t - 5 = 0, -5*d - 3*t = -983199985. Suppose -14*h + 6*h = -d. Round h to the nearest one million.
25000000
Let y = -80 - -96. Let v be -2*(3288/y + -8). What is v rounded to the nearest one hundred?
-400
Let k = -6.37 + 6.4075. Let h = k - 0.093. What is h rounded to 2 dps?
-0.06
Let q = 28962 + -28963.5549. Let c = -1.548269 - q. Round c to three dps.
0.007
Let b be 2220/75 - (1 + 21/(-15)). Suppose 22*s = -b*s + 11180. Round s to the nearest 10.
220
Let x = 5009.86 - 8283.57. Let f = x - -3273.50999868. Let g = 0.2 + f. Round g to seven dps.
-0.0000013
Let s = 292131.00661 + -291752.006610675. Let l = 379 - s. What is l rounded to 7 dps?
0.0000007
Let t(h) be the first derivative of -h**2/2 - 34*h - 11. Let j be t(28). Let u = -48 - j. What is u rounded to 0 decimal places?
14
Let j = -0.8749 + 0.765. Round j to two dps.
-0.11
Let n = 395.74 + -394. Let t = n - 1.73982. What is t rounded to 5 dps?
0.00018
Let u = -67.24 + 69. Let n = 0.56 - u. Let b = n + 1.2035. What is b rounded to two dps?
0
Let m = -15893 - -15893.000044164. Round m to 5 decimal places.
0.00004
Let n = 31.536 - 31.5360026147. What is n rounded to 7 decimal places?
-0.0000026
Let p = 651.63 + -649. Let u = p - 2. Let z = u + -0.6300029. Round z to seven dps.
-0.0000029
Let z = 612.85 - 609. Let p = -3.84999326 + z. Round p to seven decimal places.
0.0000067
Let p = 1600332 - 1600337.3355116. Let r = p - 0.0644284. Let n = r + 5.4. What is n rounded to 5 dps?
0.00006
Let q = -29.73 + 0.73. Let n = -29.00000057 - q. What is n rounded to six decimal places?
-0.000001
Let x = -97.0357 + 97. Let n = 0.0356861 + x. Round n to 6 dps.
-0.000014
Let a(k) = -2*k + 47. Let p be a(16). Suppose 4*h + h - p = 0. Suppose -d = -z + 3980003, -d = -0 + h. What is z rounded to the nearest 100000?
4000000
Let t = 168.7 + -566.66. Let b = 406 + t. Round b to 0 dps.
8
Let f be 1392120 + 27/(-216) + 79/(-8). Round f to the nearest 100000.
1400000
Let l = -4332 - -4397.89. Let n = 65.37 + 0.63. Let w = n - l. What is w rounded to 2 decimal places?
0.11
Let j = -1.38 - -0.18. Let d = j - -0.63. Let h = 0.517 + d. What is h rounded to 3 dps?
-0.053
Let w = -105 + 104.59. Let k = w - 0.02. Let v = k + 1.13. What is v rounded to the nearest integer?
1
Let l = -59318 + 59369.279. Round l to 1 dp.
51.3
Let w(s) = -12*s - 19. Let u(m) = -13*m - 20. Let f(b) = -5*u(b) + 6*w(b). Let y be f(-5). Let c = y - -38. What is c rounded to the nearest 10?
60
Let f = -0.04656 + -0.59564. What is f rounded to one decimal place?
-0.6
Let q be ((-3)/9)/((-2)/60). Let n be (q - 3) + 1592979/3. Round n to the nearest 100000.
500000
Let g = 345 + -343.1161. Round g to two dps.
1.88
Let h = 513.7099941673 + -513.71. Round h to seven decimal places.
-0.0000058
Let s = -0.7261 - -0.676. Let q = s + 0.049987. What is q rounded to 5 dps?
-0.00011
Let j = 6769 + -1989. Let u = j - -57220. What is u rounded to the nearest 100000?
100000
Let a = -205.9829 + 206. Let f = 0.0171229 - a. What is f rounded to six decimal places?
0.000023
Let a = -0.206 - 149.794. Let k = -8.6558 - 141.1872. Let s = k - a. What is s rounded to two decimal places?
0.16
Let y = -118.8293 + 0.1793. What is y rounded to the nearest ten?
-120
Let a = 367 + -22. Let o = 4433 + -4817.4. Let u = a + o. Round u to the nearest 10.
-40
Let u(g) = 18*g + 9. Let m be u(9). Let a = 370 - m. Let t = a - 350. What is t rounded to the nearest 10?
-150
Suppose 68*l = 73*l - 390690. Let h be (-12)/(-5) + (-4)/10. Suppose h*x + l = 924138. What is x rounded to the nearest 10000?
420000
Let p = 287163 + -595550. Let l = p - 170613. What is l rounded to the nearest 10000?
-480000
Let y(v) = v**2 + 32*v - 153. Let t be y(-36). Let r(f) = 553350*f + 150. Let k be r(t). What is k rounded to the nearest one million?
-5000000
Let q = 112180662.33442 - -24911682.67197. Let s = q + -137091151. Let u = 1194 - s. What is u rounded to four dps?
-0.0064
Let b = 21217.0000037279 + -21217. Round b to seven dps.
0.0000037
Let p(g) = -5 + g**3 - 6*g + 3*g + 5*g**2 + g. Let c be p(-5). Suppose 4*x - c*s + 20440005 = 0, 2*x = 4*s + 5831469 - 16051473. Round x to the nearest 100000.
-5100000
Let r = -14.82946258 - -14.83. Round r to 5 dps.
0.00054
Let i = 1443.330738 + -0.020738. Let z = -1460 + i. What is z rounded to the nearest integer?
-17
Let x(f) = -f**3 - 16*f**2 - 4*f + 38. Let v = 12 + -29. Let b be x(v). | {
"pile_set_name": "DM Mathematics"
} |
9. Let f = -45 + m. Round f to 5 decimal places.
-0.00002
Let j = -324447 - -510589. Let c = j - 186142.0200078. Let f = c - -0.02. Round f to six decimal places.
-0.000008
Let g = -13.77 - -14. Let x = 0.2361 - g. Round x to 3 decimal places.
0.006
Let b = 90.3366 - 150.24396. Let f = 61.607 + b. Let o = -1.7 + f. Round o to four decimal places.
-0.0004
Suppose -3*c = 2*i + 16 + 272, 2*c + 192 = -3*i. Round c to the nearest one hundred.
-100
Let j = 0.4 - 0.2. Let u = j + -0.3. Let d = u + 0.09999998. Round d to 7 dps.
0
Let b = -102.8 - -90. Let g = 169.2075 + -156.40803. Let d = b + g. Round d to four dps.
-0.0005
Let a = -1.3 - -0.1. Let r = -0.2 - a. Let w = -1.00001 + r. What is w rounded to five decimal places?
-0.00001
Let s(j) be the second derivative of j**4/12 - 2*j**3/3 + j**2/2 + j. Suppose 0 = -r - r + 8. Let h be s(r). What is h rounded to one decimal place?
1
Let g = -72205 - -196704. Let o = g - -15501. What is o rounded to the nearest one hundred thousand?
100000
Let n = -0.051 - -0.0507. Round n to 3 decimal places.
0
Let n = -0.3983 - 49.8317. Let p = -104 + 154. Let s = n + p. Round s to one decimal place.
-0.2
Suppose 5*r - 22407240 = 61592765. Suppose 3*z = -g + r, -g + 11200002 = 2*z + g. What is z rounded to the nearest one million?
6000000
Let x = 66 - 65.971. Round x to 2 decimal places.
0.03
Let k = 5 + -5.000003. Round k to six decimal places.
-0.000003
Let w = 22255 - 4179. Let l = w + -108076. Round l to the nearest 100000.
-100000
Let y(s) = -346941*s**2 + 18*s - 17. Let a be y(7). What is a rounded to the nearest 1000000?
-17000000
Let v = -197.3 - -208. Let z = 10.771 - v. What is z rounded to two decimal places?
0.07
Let b(s) = -3*s**3 + s**2 + s. Let c be b(-1). Suppose -5*j + 3*j - 120002 = -5*n, c*n - 71999 = -j. Round n to the nearest 10000.
20000
Suppose 16776 = -4*h - 41520. Let z be (h/8)/((-2)/16). Suppose -17431 = 4*s - 5*d + z, s + 4*d = -7996. What is s rounded to the nearest 1000?
-8000
Let z = 1870 + -1870.0000909. What is z rounded to 5 decimal places?
-0.00009
Let v be 6 - -3 - (-1)/(-1). Suppose 4*s = v*s - 32. What is s rounded to the nearest ten?
10
Suppose -25583963 = -2*h + o, 0 = -3*o + 12 + 3. Let k be h/(-104) + (-4)/26. What is k rounded to the nearest 10000?
-120000
Suppose c + 2*t - 34008 = 0, -c - 3*c + 5*t + 136006 = 0. Suppose -a = -0*a - x - c, -4*a - x + 135996 = 0. Round a to the nearest 10000.
30000
Let l = 4.36 - -260.64. Let q = 266.17 - l. What is q rounded to 1 decimal place?
1.2
Let r(m) = m**3 + 10*m**2 + 11*m + 12. Let i be r(9). Suppose 0 = -3*d + 4*w + w + 990, -5*d - 5*w = -i. Round d to the nearest 100.
300
Let m = -1448.71 + -727.24. Let a = 2223 + m. Let i = a + -48. What is i rounded to 1 dp?
-1
Let p = 133.7065698 + -133.67. Let u = p + -0.9365178. Let k = u + 0.9. Round k to 5 dps.
0.00005
Let w(a) = -9*a**3 + 5*a**2 - 4*a + 2. Let g be w(4). What is g rounded to the nearest 100?
-500
Let s = -0.005 - -0.067. What is s rounded to 2 decimal places?
0.06
Let f = -0.134465 + 0.08446. Let r = 0.05 + f. What is r rounded to five decimal places?
-0.00001
Let n(i) = 1939*i**2 - i. Let o be n(-1). Suppose -4*p + 5*r = 260015, p - o + 66931 = -3*r. What is p rounded to the nearest ten thousand?
-70000
Let j = -16 - -16.009. Round j to 3 dps.
0.009
Let u = -0.24972 + 0.25. Round u to four dps.
0.0003
Let x = 17238 - 17131.198. Let w = x + -107. Round w to 2 decimal places.
-0.2
Let u = 160.0000396 + -160. What is u rounded to five decimal places?
0.00004
Let i = 32 + -32.0000004. Round i to 6 decimal places.
0
Suppose 31417366 + 19182649 = -2*i - 5*g, -i + 4*g - 25299988 = 0. What is i rounded to the nearest 1000000?
-25000000
Let n = -8 + 13. Let q = n + -5.55. Round q to one decimal place.
-0.6
Let p be 8100002/(-5) - (-10)/25. Round p to the nearest one hundred thousand.
-1600000
Let n = -0.009389364 - -10.009389164. Let g = 10 - n. Round g to six decimal places.
0
Let y(u) = 84*u**2 - u. Let h be y(1). Let d = 52 + 1131. Suppose c + h = d. Round c to the nearest 1000.
1000
Let a = 21213158 - 11513158. Round a to the nearest 1000000.
10000000
Let x = -1.6859 - -0.0409. Let f = -0.6 - 1. Let m = f - x. Round m to two dps.
0.05
Let w = -0.15 - -0.18. Let u = -0.0299993 + w. Round u to six dps.
0.000001
Let l be (-28 - -4)/1*12500. What is l rounded to the nearest 1000000?
0
Let u = 18.26 + -18. Let r = -591922.2600044 - -591922. Let x = r + u. Round x to 6 dps.
-0.000004
Suppose 0 = 3*o + 3 + 3. Let i be 1*o/4*-10. Suppose -5*t - 2*d = 4298, 0 = -i*t + 2*d + 1127 - 5429. What is t rounded to the nearest 100?
-900
Let g = -0.074 + -31.926. Let z = 32.000051 + g. Round z to 5 dps.
0.00005
Let z = 5902222 - 5902219.000013. Let i = z + -3. Round i to five decimal places.
-0.00001
Let x = 2 - 1. Let d = -1.00156 + x. Round d to four dps.
-0.0016
Let y = -50.5 + -10.5. Let q = y + 55.9. Round q to the nearest integer.
-5
Suppose -33 = -8*m + 39. What is m rounded to the nearest 10?
10
Let r = -4 - -5. Let a be (-10)/(3/153*r). Round a to the nearest 100.
-500
Let r be (-760)/((-28)/16 + 2). What is r rounded to the nearest one hundred?
-3000
Let d = 137 - 143.57. Let w = -0.37 - d. What is w rounded to the nearest integer?
6
Suppose -4*s + 2*s - 6 = 0. Let j be (1 - (2 + s)) + -602. What is j rounded to the nearest one thousand?
-1000
Let w(s) be the first derivative of s**2 - 5*s + 3 + 55/3*s**3. Let u be w(5). Round u to the nearest one hundred.
1400
Let a = 25.69 - 26. Let x = a + 1.26. What is x rounded to 1 decimal place?
1
Let n = -146 + 45. Let i = -43 - n. Round i to the nearest 10.
60
Let f = -3.745461 - 61.384564. Let x = -64.93 - f. Let y = x + -0.2. What is y rounded to 5 decimal places?
0.00003
Let v = -7389.00900055 - -7389.609. Let l = v + -0.6. Round l to 7 decimal places.
-0.0000006
Let r = 0.078 - 0.0779748. Round r to 6 decimal places.
0.000025
Suppose -4*u = 2*u + 129564. Let d = -11594 - u. Round d to the nearest 10000.
10000
Let w = 281 + -396. Let v = w + 115.00141. Round v to 4 decimal places.
0.0014
Let r = -15.2628 + 16.863. Let q = -1.6 + r. What is q rounded to 4 dps?
0.0002
Let w = 2.96 - 3. Let l = -4.04 - w. Let t = 3.999962 + l. Round t to five dps.
-0.00004
Suppose -3*p - p = -12. Suppose p*f = 2*f - 10. What is f rounded to the nearest 100?
0
Let s = 6.3 + -23.81. Let y = -13 - -30. Let h = s + y. Round h to 1 dp.
-0.5
Let j = -17.5757821 + 8.57578246. Let k = j + 9. What is k rounded to seven decimal places?
0.0000004
Suppose -2*g + 16176 = -3*o, 4*o + 5*g + 22842 - 1297 = 0. Round o to the nearest one thousand.
-5000
Let d = 23 - 22.9816. What is d rounded to three decimal places?
0.018
Let b = -0.07 - 4.93. Let o = -10 - b. Let h = o - -4.999997. What is h rounded to five dps?
0
Suppose 3*x + 276 = -g - 2*x, -3*g + 2*x = 743. What is g rounded to the nearest ten?
-250
Let n = -11.8 - -12. Let r = n + 0.2. Round r to 1 dp.
0.4
Let u = 0.26 - 0.25999958. What is u rounded to seven decimal places?
0.0000004
Let u = 0.04 + -0.34. Let g = -0.04 + -2.86. Let w = u + g. Round w to the nearest integer.
-3
Let v = -367 + 369.94. What is v rounded to 1 decimal place?
2.9
Let c = 97.000246 + -97. Round c to five decimal places.
0.00025
Let z = -137159 + 137159.0900028. Let t = 0.09 - z. What is t rounded to 6 decimal places?
-0.000003
Let g = -1.683 - -1.91. Round g to 2 decimal places.
0.23
Let o = -0.233 - -0.232889. What is o rounded to 5 dps?
-0.00011
Suppose 1674997 = 5*l + g, 0 = -4*l + 2*l - 2*g + 669994. What is l rounded to the nearest one hundred thousand?
300000
Let o(c) = -12638*c + 3. Let d be o(-4). Let x = d - 95555. Round x to the nearest ten thousand.
-50000
Let x = -3.56 + 3.5599853. Round x to six decimal places.
-0.000015
Let y = -130.3 + -9.7. Let w = y + 256. Let u = w - 110.1. Round u to zero dps.
6
Let q = 15.9999998 - 16. What is q rounded to 7 dps?
-0.0000002
Suppose 24080495 = 5*s - 2*m - 13454064, 4*m = -8. Let r be -3 + 2 - 5*301382. Let z = r + s. What is z rounded to the nearest 1000000?
6000000
Let b be 1*-4*6/(-8). Suppose b*c - 2*r = -21910, 4*r + 409 = -c - 6871. Round c to the nearest 1000.
-7000
Let l = -23 - -58. Let z = -605.9 + 574. Let p = z + l. Round p to the nearest integer.
3
Let y = 28 + -64. Let r = | {
"pile_set_name": "DM Mathematics"
} |
ommon factor of 85 and t.
17
Let i(a) = 2*a - 4. Let t be i(3). Suppose t*u = 10, o = -o + 2*u + 30. What is the greatest common divisor of o and 40?
20
Suppose 26*w - 4932 = 1438. What is the highest common factor of w and 21?
7
Suppose -1842 = -25*x + 4108. What is the greatest common factor of x and 42?
14
Suppose 0 = 3*o + 148 - 400. Suppose -4*a + o = s, -4*a - 76 = -0*s - s. Calculate the greatest common factor of s and 10.
10
Suppose p - i - 616 = 840, -2*i = 0. Let x = p + -1040. What is the greatest common factor of 52 and x?
52
Let d(u) = 2*u**3 - 73*u**2 - 32*u - 61. Let n be d(37). Calculate the highest common factor of 527 and n.
31
Let i be (-1)/4 + 60/(-16). Let h(k) = 5*k**2 + k - 1. Let r be h(i). Let u = -2233 + 2248. Calculate the highest common factor of u and r.
15
Suppose y + 3*z - 69 = 0, -2*y + 94 = -z - 4*z. What is the highest common factor of 399 and y?
57
Suppose -45 = -2*r - 5*b, 50 = -2*r + 5*r + 4*b. Let x(h) = 10*h**2. Let a be x(1). Calculate the greatest common factor of r and a.
10
Suppose 151 - 596 = 4*u - q, 4*u - 2*q = -442. Let j = u - -121. What is the highest common factor of 135 and j?
9
Suppose 138 = 4*p - 5*v, 2*p - v = 89 - 23. Suppose 12 = -2*x - 5*f, 5*x - 2*f - 15 = 13. What is the greatest common factor of x and p?
4
Suppose -i = 2*w + w - 2, 8 = 3*w + 4*i. Suppose w = -24*c + 13*c + 22. What is the greatest common factor of c and 2?
2
Let r(z) = 12*z**2 + 3*z + 2. Let m be r(3). Let k(h) = 1 + 3 - 3*h - 2 + 0. Let p be k(-5). What is the highest common factor of p and m?
17
Let r(c) = -3*c**2 + 111*c - 9. Let n be r(36). What is the greatest common divisor of n and 90?
9
Let b be -3*(0 + 10/(-3)). Let v = 70 - 59. Suppose -6*z - 100 = -v*z. Calculate the highest common factor of b and z.
10
Let n(j) = -j**2 - 10*j - 12. Let c(s) = -2*s**2 - 19*s - 23. Let d(l) = -4*c(l) + 7*n(l). Let t be d(-5). Calculate the highest common factor of 12 and t.
3
Let l(k) = -2*k + 6. Let d be l(-5). Let p(c) = -5*c**3 + 4*c**2 - c + 6. Let m be p(3). Let o = 80 - m. What is the greatest common factor of o and d?
16
Let w(v) = v**3 - 2*v + 6. Let t be w(0). Let f = -58 - -111. Suppose u - f = -11. What is the greatest common divisor of u and t?
6
Suppose -44 = -2*n - 2*d, -3*n + 0*d + 69 = 4*d. Suppose 6*g = 3*g + j + 21, -2*g + n = j. What is the greatest common factor of g and 2?
2
Let b be 108/63*21/(-3). Let z be ((-28)/8)/(-7)*b. Let p be ((-222)/(-18))/((-2)/z). What is the highest common factor of p and 74?
37
Let y(b) = 2*b**3 - 13*b**2 - 5*b - 1. Let d be y(10). Suppose -9*r + 1214 = -d. What is the greatest common factor of r and 23?
23
Let v = 852 - 831. Calculate the greatest common divisor of 12 and v.
3
Let o = 13 + 27. Let b be 119/15 + (-65)/(-975). What is the highest common divisor of o and b?
8
Suppose -2*v + 5*g - 92 = 0, 0 = 2*v - 2*g + 2 + 78. Let m = v - -140. Let z = 20 - 7. What is the greatest common factor of m and z?
13
Suppose -39 + 15 = -6*i. Let z be -1 - (3 - 4 - i). Suppose -5*u - z*c + 129 = 0, -u + c = -4*u + 83. Calculate the greatest common divisor of 319 and u.
29
Suppose -2*d - 8 = 2*n, 8*d - 1 = -2*n + 3*d. Let p(g) = g**2 + 10*g + 23. Let h be p(n). What is the highest common divisor of h and 6?
2
Let l be (2/4)/((-12)/(-3456)). What is the greatest common divisor of 16 and l?
16
Let o = -11 + 10. Let m = o + 12. What is the highest common factor of m and 121?
11
Let q = -112 - -53. Let t = q + 7. Let b = t + 79. What is the greatest common factor of 9 and b?
9
Let k(d) = d**3 + 7*d**2 - 10*d + 9. Let l be k(-6). What is the highest common factor of 75 and l?
15
Let g be ((-2)/5)/(7/210). Let k(p) = p**3 + 13*p**2 + 10*p - 9. Let x be k(g). What is the greatest common divisor of 10 and x?
5
Let x be (-1)/(-2) + (-1212)/(-24). What is the highest common factor of 34 and x?
17
Let u(q) = -3*q - 7. Let m = -17 - -6. Let r be u(m). What is the highest common factor of 104 and r?
26
Let b be 4/(-1 + 5) + 5. Suppose b*a - 4*t + 4 = 2*a, a + 5 = 3*t. Calculate the highest common divisor of 5 and a.
1
Suppose q - 4*y = -4, 4 = 3*q - y - 3*y. Suppose q*c + 124 = 188. What is the highest common factor of 1 and c?
1
Suppose 50*m - 22213 = -6713. What is the highest common divisor of 10 and m?
10
Suppose 18 = u - p, -3*p = 5*u - 7*p - 87. Let c be 2/(2*(-1)/4). Let d be (-10)/c*-2*-1. Calculate the highest common factor of u and d.
5
Let a(s) = 2*s**2 + 7*s - 14. Let c be a(-7). Suppose c = -w + 163. What is the greatest common divisor of 16 and w?
16
Suppose -4*h + 189 = 4*d - 3*h, -3*d - 5*h = -163. What is the highest common divisor of 115 and d?
23
Let d(q) = 2*q**2 - 4*q + 1. Let f be d(3). Let k be -1 + 2 + 7 + f. Let m = 4 + k. What is the greatest common factor of m and 57?
19
Suppose 6*h - 123 = 3*h. Let z = h - 21. What is the greatest common factor of 60 and z?
20
Let y = -1 + 63. Let k = -56 + y. Calculate the greatest common factor of 4 and k.
2
Let x be (78/(-12)*2)/(3/(-6)). What is the highest common divisor of 26 and x?
26
Let n = 25 - -85. Let i be (-4)/(5/(-75)*6). What is the greatest common factor of n and i?
10
Suppose 0 = -2*s - 7 + 3. Let q = s - -6. Suppose 0 = 2*r - h - 59, -2*r = h + h - 50. Calculate the greatest common divisor of r and q.
4
Suppose 1 = -5*p - 179. Let m = p + 92. Suppose -4*y = -2*y - 16. What is the highest common factor of y and m?
8
Let b(y) = -y + 12. Let u be b(0). Let w = u - 7. Suppose 0 = -4*x + 3*o + 453, -w*x + 0*x - o + 590 = 0. Calculate the greatest common divisor of x and 13.
13
Suppose 0 = -31*h + 44*h - 104. Let z(v) = v**3 - 2*v**2. Let w be z(4). Calculate the greatest common factor of w and h.
8
Let h = 16 - 11. Suppose 0 = -5*d + m + 355, 0 = h*m + 8 + 17. Calculate the greatest common divisor of d and 14.
14
Let k be 6/(8/((-16)/(-3))). Suppose 0 = -5*h - 2*w + 147, k*h - w = -3*w + 118. What is the greatest common factor of 58 and h?
29
Let f(m) = 5*m - 2. Let x be f(1). Calculate the greatest common factor of 27 and x.
3
Let k = -1387 - -1417. Suppose 3*j = 82 + 98. Calculate the highest common divisor of k and j.
30
Suppose -14*l - 920 = -37*l. What is the highest common divisor of l and 8?
8
Suppose 7*a = 2*a. Suppose 2*u - 4 + 5 = -5*r, a = 3*u - 2*r - 8. Suppose -4*d - 2*s = -u, 4*s = -0*s - 12. What is the greatest common divisor of 6 and d?
2
Let b(u) = u - 4. Let t be b(9). Suppose 5*r + 122 = 2*y, t*y - 45 = 3*r + 241. Suppose -w + 160 - y = 0. Calculate the greatest common factor of 13 and w.
13
Let m(i) = 0*i - 10*i**2 + 11*i**2 - 6*i + 7. Let k be m(6). Suppose 3*v + k = -w, 3*w = -v + 1 + 2. What is the greatest common factor of w and 2?
2
Suppose -4*b - 2*r + 104 = 2, 2*r - 6 = 0. Calculate the highest common factor of 216 and b.
24
Let g = 1288 - 232. What is the highest common divisor of 33 and g?
33
Suppose 0 = -4*g + 12, -13 + 1 = -3*j + g. Suppose 4*h - j + 1 = 0. Let l = -9 + 11. Calculate the greatest common factor of l and h.
1
Suppose -617 = -5*w - 137. Let l(q) = 5*q**2 - q. Let k be l(1). Suppose -57 = -3*x + u, -k*x = x - 2*u - w. What is the greatest common factor of x and 144?
18
Let g(l) = 14*l - 58. Let f be g(11). Calculate the highest common factor of 12 and f.
12
Suppose 3*c - 42 + 6 = 0. Suppose -r + 12 = 33. Let y = r + 105. What is the greatest common factor of y and c?
12
Let i = -663 + 743. What is the greatest common factor of 5 and i?
5
Let z = -15 - -15. Suppose z = -4*f + f - 3, 2*k + 4*f = -30. Let g = 29 + k. Calculate the highest common factor of g and 80.
16
Suppose 60 + 140 = 373*h - 369*h. Let r(b) = 149*b**2 + 1. Let a be r(-1). Calculate the greatest common factor of h and a.
50
Let g = 663 - 513. What is the highest common factor of 325 and g?
25
Suppose 0 = -f + 5*r - 1, 2*f + r + r - 10 = 0. Suppose 0 = f*k + 3*b - 90, 0*k + b = -4*k + 94. What is the highest common factor of k and 12?
12
Let r(f) = -2*f - 4. Let c be r(-5). Let h be 3*(0 - ((-5)/15 - 1)). What is the highest common factor of h and c?
2
Suppose 812 + 1840 = 12*t. What is the greatest common divisor of 39 and t?
13
Suppose 3 + 0 = 3*h - 3*t, -5*t = -3*h - 5. Let y(w) = 45*w - 33. Let l be y(h). Calculate the greatest common factor of l and 24.
24
Suppose -24 = -186*b + 184*b. Calculate the great | {
"pile_set_name": "DM Mathematics"
} |
, 0 = 3*r + 2*u - 122484. Is r a multiple of 11?
True
Let i = 255 + 49. Let d be i*((-60)/(-48) + 2/(-8)). Suppose z + z - d = 0. Is z a multiple of 13?
False
Suppose a - 135 = -4*a. Let q be ((-9)/a)/((-1)/(-33)). Let n = 41 + q. Is n a multiple of 18?
False
Let i(p) = -p**2 + 1. Let c be i(0). Suppose 11 = n - c. Suppose -n*s + 7*s = -100. Does 10 divide s?
True
Let z = -3690 + 6090. Does 20 divide z?
True
Let n(u) = -775*u - 1961. Does 23 divide n(-7)?
False
Suppose 6 = -3*a, 4*a - 7485 = 5*g - 18283. Suppose -35*c + 33*c + g = 0. Is 13 a factor of c?
True
Suppose -17 = -f + 28. Let l = f + 47. Let u = l + -77. Does 5 divide u?
True
Let x be 0 - (-5 - -1 - 413). Let s = -89 + x. Is 8 a factor of s?
True
Let d be 0 + -5 + 7 + 3. Suppose -d*u + 3*b = -b - 220, -u - 3*b = -25. Is u a multiple of 3?
False
Suppose 4*k + 4*x - 8424 = 0, 10506 = -442*k + 447*k - x. Is 4 a factor of k?
False
Suppose -113220 = -24*i - 13*i. Does 102 divide i?
True
Let y(f) = 221*f + 84. Let v(g) = 73*g + 29. Let j(x) = 17*v(x) - 6*y(x). Does 46 divide j(-5)?
True
Suppose -5*h + 15 = -50. Let u(y) be the first derivative of -y**3/3 + 7*y**2 + y - 11. Does 3 divide u(h)?
False
Let a = -41847 + 43329. Is 13 a factor of a?
True
Suppose -2*o - 5*n = -35, 3*o + 0*n = -2*n + 36. Suppose 3*g - 455 = -o*g. Let z = -2 + g. Is 12 a factor of z?
False
Let q = 42057 + -23278. Is q a multiple of 22?
False
Suppose 5*x + 215 = 5*p, -189 + 11 = 4*x - p. Let k be 78/27 + 8/(-9). Does 6 divide (29 - (k - 0))*(-120)/x?
True
Let s(i) = -51*i + 3626. Is 10 a factor of s(14)?
False
Is 14 a factor of ((-145168)/215)/((-2)/10)?
False
Suppose 3*g - 652 = -655. Let t(q) = 74*q**2 + 4*q + 4. Is t(g) a multiple of 37?
True
Suppose -5*i - 3*z = -z - 37, -4*i - 5*z = -33. Suppose -700 = -i*v + 1484. Is 39 a factor of v?
True
Is 17 a factor of (-7 + (5 - (-7)/14))*-5542?
True
Let c = -176 - -176. Suppose -u - 5*n + 568 = c, -12*n = -16*n - 16. Is u a multiple of 17?
False
Let c(r) = -r**3 + 13*r**2 - 13*r + 20. Let m be c(12). Let j = m - -10. Suppose 4*o - j - 66 = 0. Does 21 divide o?
True
Suppose -639*t = -786*t + 559776. Is 16 a factor of t?
True
Let m(a) = -91 - 4*a**2 + 5*a + 10*a + 5*a**3 - 3*a**3 - 14*a**2 + a**2. Is m(11) a multiple of 11?
False
Suppose -111 = -2*f - 3*z - 37, 0 = -2*f - 4*z + 70. Let y = f - 39. Does 19 divide (-245)/(-5) + y + -4?
False
Let f(q) = -5*q + 9. Let r be f(0). Suppose -33*o + 576 = -r*o. Is 4 a factor of o?
True
Let j = -37 - -34. Let l be j/(-1) + -5 - -38. Suppose -a = -107 - l. Is 23 a factor of a?
False
Is 20 a factor of 60/(-2 - 3)*((-3068)/12 - -7)?
False
Let f = -10188 - -19356. Is 25 a factor of f?
False
Let i(w) = 3*w**2 - 8*w + 5. Let x be i(11). Suppose 55*c = 57*c - x. Suppose 4*a + 158 = 3*f, -4*f - 5*a + c = -f. Does 11 divide f?
False
Let r be (-10)/2 + (141 - (-1)/(-1)). Let t be ((-696)/(-32))/(1/(-4)). Let v = t + r. Does 11 divide v?
False
Let f be (2253/6 + (-1)/2)/1. Suppose 5*i - 3*i + 174 = q, -2*q - 5*i = -f. Is 15 a factor of q?
True
Let c(k) = -189*k - 20. Let v be c(-3). Let t = 842 - v. Is 31 a factor of t?
False
Suppose -4*x = -x - 174. Let o = x + -94. Let v = 45 + o. Does 2 divide v?
False
Let p(x) = -x**3 - 3*x**2 + 2. Let j be p(2). Let i = 24 + j. Is 13 a factor of (1 - 7)/(i/(-39))?
True
Suppose -c + 39 = -8. Let a = 51 - c. Suppose 4*f + 2*h = 54, 0*f + 2*h + 74 = a*f. Is f a multiple of 16?
True
Let z be 7542/(-42) + (-9)/21. Does 28 divide (-21)/9*(-19)/((-95)/z)?
True
Is 86 a factor of 407654/10 - 3003/2145?
True
Let r(x) = -2*x**2 - 251*x**3 + 26 + 44*x - 44*x - 25. Is r(-1) a multiple of 25?
True
Suppose 10*o + 18*o = 140. Suppose 0 = -o*c - 3*k + 4018, 5*c - 3263 = 2*k + 775. Is c a multiple of 31?
True
Let y(q) = 9*q**2 - q - 5. Let i = 56 - 53. Let l be y(i). Let g = l + -36. Is g a multiple of 37?
True
Let n = 37076 - 25736. Does 18 divide n?
True
Suppose 61*z = 14*z - 32*z + 1723464. Is 101 a factor of z?
True
Let t(u) = 48*u - 49. Let k be t(15). Suppose -2*w = 3*j - 1260, 4*w - 5*j - 1849 - k = 0. Is w a multiple of 21?
True
Let r = -11 + 17. Let x be 3/r + (-875)/(-2). Suppose -s + x = 4*d - 3*s, 2*d + 3*s = 231. Is d a multiple of 19?
False
Let a be -3 + (-40)/(-12) - 62/(-3). Let u be (-1 - a/(-3))/2. Suppose u*x = 4*o - o - 222, 0 = -o + 4*x + 65. Does 11 divide o?
True
Let t(i) = -1278*i - 35. Let d be t(-9). Suppose -14*x + d = -3499. Is 11 a factor of x?
False
Suppose 12*d = 33*d - 4061 - 68998. Is 71 a factor of d?
True
Suppose 0 = 3*f + 5*x - 5 + 4, 5*f - 19 = -4*x. Suppose 0 = -2*k + f*k - 3350. Suppose 256 = 2*q + 2*m, -k = -4*q - q + m. Is 47 a factor of q?
False
Suppose 0 = 4*o + 5*q - 6351, q = 9*o - 13*o + 6339. Is 24 a factor of o?
True
Let h(f) = -13*f + 15 + 10 + 244*f**2 - 15 + 16. Is 16 a factor of h(2)?
True
Suppose 4*w - p - 1989 - 2452 = 0, 4*p + 2210 = 2*w. Is 3 a factor of w?
False
Suppose 0 = 3*z - 6*z + 43470. Suppose 0*f = -23*f + z. Does 18 divide f?
True
Let o(w) = -2*w - 72. Let y be o(-29). Let p(h) = h**2 + 6*h + 41. Is p(y) a multiple of 3?
True
Suppose 9482 + 4675 = 33*a. Let h = a - -489. Is h a multiple of 18?
True
Let x(f) = -456*f - 357. Is x(-2) a multiple of 2?
False
Let d(c) = c**3 + 16*c**2 - 3*c + 26. Suppose -25 - 38 = 5*r - 2*b, 2*r = -2*b - 14. Is 31 a factor of d(r)?
False
Is ((-5)/1)/(65/(-91)) + 159 a multiple of 23?
False
Let m(k) = -k**2 + 20*k - 28. Let o be (-2)/(-3)*(-120)/(-75)*15. Is m(o) a multiple of 9?
True
Let g be (-330)/(-132) - (-2 - 5/(-2)). Is 240/g + 1 + -1 + -1 a multiple of 5?
False
Suppose -2*m - 5*d = -4*d - 10528, m - 5264 = 3*d. Is m a multiple of 9?
False
Let i(y) = -757*y - 26. Is 4 a factor of i(-2)?
True
Let w(t) = -t - 4*t + t**3 + 0*t + 20*t**2 - 9*t - 7*t + 27. Is w(-17) a multiple of 23?
False
Let j(l) = -43 - 6*l**2 + 66 - l**3 - 16*l + 20*l**2. Let p be j(12). Let k = p - 54. Is 3 a factor of k?
False
Let r(f) = -f + 34. Let d be r(30). Suppose -280 - 609 = -2*u - 3*m, d*m = 12. Suppose 2*v = 4*v - u. Is 23 a factor of v?
False
Let g(t) = 2208*t + 318. Is g(29) a multiple of 18?
True
Is (-1042)/6*(16 - (55 + -30)) even?
False
Suppose 0 = -5*u + 8*u - 5*l - 22951, -6*l = 5*u - 38180. Does 10 divide u?
False
Suppose 0 = -3*x - 8*x + 924. Suppose u - 29 - 10 = -2*r, x = 2*u + r. Does 4 divide u?
False
Let c(o) = 5*o**2 - 14*o - 28. Let u be c(-3). Let z = 333 + u. Is z a multiple of 49?
True
Let a be 1 + (-3 - 0) - -4. Suppose 0 = 2*w + 8, -a*y - 3 = y + 3*w. Suppose 378 = y*l + 4*l. Does 11 divide l?
False
Suppose 7164 = -20*t + 22*t - 4*i, -i - 3589 = -t. Is t a multiple of 31?
True
Suppose 79*d = 76*d + 2*y + 46654, 5*d = -4*y + 77764. Does 14 divide d?
False
Let v = -42 + 44. Is ((-21)/v)/7*2744/(-21) a multiple of 7?
True
Let v = 14965 - 7546. Is 50 a factor of v?
False
Is 16 a factor of 242*1099/42 - (-2)/15*-10?
False
Let l(q) = -7*q**3 + 52*q**2 + 19*q + 167. Is l(-11) a multiple of 11?
False
Let c be (-5 - (-38)/34) + 2/(-17). Is (-32)/12*531/c a multiple of 5?
False
Let u = 37474 - 8248. Does 29 divide u?
False
Let c = -251 - -255. Is 2 a factor of 1/c - (3 + (-1041)/12)?
True
Does 9 divide (-44)/77 + (-342060)/(-70)?
False
Let x = -71 + -442. Let w = 432 - x. Is w a multiple of 15?
True
Suppose m - 3*k = 259, m = 5*k - 17 + 268. Is 30 a factor of (2*-4)/(1353/m - 5)?
False
Let g = -674 - -1276. Let s = -305 + g. Does 33 divide s?
True
Let u be (-8)/68*1 + 132/(-34). Does 8 divide (0 + u)/(2 - (-1026)/(-510))?
False
Let g be ((-546)/15)/(4/20). Let z(r) = r**3 - 4*r - 10. Let q be z(7). Let u = g + q. Is 26 a factor of u?
False
Let t be 17/7 - (-3)/(-7). Suppose 3*u = 3*b + t*b - 2534, -2*b + u = -1013. Is 7 a factor of b?
False
Let j = 3338 + -202. Does 49 divide j?
True
Let n be ((-3)/(-2))/((-9)/(-1506)). Let j = 282 - n. Is j a multiple of 10?
False
Let d be 0 + (-171)/(-2) + 1/(-2). Let z = d + -12. Suppose -2*r = 5*j - 595, j + 2*r - z = 54. Is j a multiple of 25?
False
Suppose 0 = 3*n - 3276 - 708. Suppose 21*s = 5*s + n. Does 2 divide s?
False
Suppose 4*r + 20 = 0, -4*c + 35 = -3*r + 8. Suppose 2*x + c*f + 216 = 3*x, 0 = -5*x - 5*f + 1040. Does 77 divide x?
False
Suppose 0 = -o + 4*z + 36373, 9*o - 7*o = 3*z + 72751. Does 7 divide o?
False
Let v be (3 - 2)/((-1)/(-7)). Suppose 6*z = v*z - 112. Suppose -2*p + p | {
"pile_set_name": "DM Mathematics"
} |
st 100000?
-3400000
Let t = -4514 + 4513.9999993082. What is t rounded to seven dps?
-0.0000007
Let a = -299.39525 - 26054064.60475. Let p = a + 26054339.000021. Let d = 25 + p. What is d rounded to 5 decimal places?
0.00002
Let c be -3 + 0 + 17 - -2. Let k = -12 + c. Suppose -2*y - t + 300005 = y, 3*t + 399985 = k*y. Round y to the nearest 10000.
100000
Let c = 28715 - 28777.915. Let m = 0.085 - c. Let d = 63.00000037 - m. Round d to 7 dps.
0.0000004
Let o = 71855 - 23853. Suppose 4*l - 22282 = o. Suppose -t - 371 = -l. Round t to the nearest 1000.
17000
Suppose 3*g - 3 + 3 = 0. Suppose -4*n - 12 = g, 3*n + 110 = i - 260. What is i rounded to the nearest 10?
360
Let t = -45 - -65. Let z be (216/t)/((-1)/5)*-1. Round z to the nearest ten.
50
Let i(k) = -k**3 + 4*k**2 + 5*k + 2. Let g be i(5). Suppose 0 = 7*h + g*h + 792000. Round h to the nearest 10000.
-90000
Let u = 36863.985013 + -36864. What is u rounded to four dps?
-0.015
Let w = 3084443.99917 + -3084431. Let r = w + -13. What is r rounded to four dps?
-0.0008
Let x = 4.6 + -4.6681. Round x to 3 dps.
-0.068
Let i = -126.25 - -7.95. Round i to the nearest 100.
-100
Let g = 499.2 - 499.200002839. Round g to 7 dps.
-0.0000028
Let f = 0.01 + 29.99. Let h = -29.99999998 + f. Round h to seven dps.
0
Let k = 843287.237 - 842801. Let h = k - 487. What is h rounded to 1 decimal place?
-0.8
Suppose 2*o + 176 = -s, -2*s + 83 = -3*o + 2*o. Let l = o + -91. Round l to the nearest ten.
-180
Let x = -2408 - -2408.5805. Let g = x + -0.6. Round g to three dps.
-0.02
Let w = -425 - -424.9999664. Round w to 6 decimal places.
-0.000034
Let q(d) = -122003*d + 2. Let n be q(-2). Suppose 3*c - 243984 = 4*g - c, 4*g + n = -2*c. Round g to the nearest ten thousand.
-60000
Let r(k) = -k**3 - k + 2. Let h be r(1). Suppose -s - 161 = c + 1439, h = -2*c - 3*s - 3200. Let i be (11/(-4))/((-8)/c). What is i rounded to the nearest 100?
-600
Let d be ((-23)/(115/100))/(3/834). What is d rounded to the nearest 100?
-5600
Let m = -0.19 - -0.24. Let x = m - 0.01. Let r = x - 0.0512. What is r rounded to three dps?
-0.011
Let b = 43826.680056 + -43827. Let z = b - -0.32. What is z rounded to five dps?
0.00006
Let d = -1886286 - -4424840. Let i = d - 2538554.1099989. Let x = 0.11 + i. Round x to six decimal places.
0.000001
Let h be ((-5)/(-2))/((-4)/(-24)). Let a = h - 14. Let z be (13/(-26))/(a/152). Round z to the nearest ten.
-80
Let b be (-40)/15 - (-2)/3. Let j be (20000/(-24))/(b/2040). Suppose j = -6*i + 5*i. What is i rounded to the nearest 100000?
-900000
Let n = 626 + -626.04848. What is n rounded to 3 dps?
-0.048
Let o = -1055.99998189 + 1056. Round o to six decimal places.
0.000018
Let t = 0.267002344 + -0.267. What is t rounded to seven dps?
0.0000023
Let h(s) = -2753*s. Let v(q) = 2754*q + 1. Let l be (-8)/6*(-63)/14. Let u(z) = l*h(z) + 4*v(z). Let w be u(2). Round w to the nearest ten thousand.
-10000
Let y be (-1)/(1*2/8). Let q(l) = -6702*l**3 + 4*l**2 + 8. Let h be q(y). Round h to the nearest one hundred thousand.
400000
Let q = -3044807.7466365394027 - -0.6166368194027. Let s = -3044807 - q. Let w = 0.13 - s. Round w to 7 decimal places.
0.0000003
Let l(s) = 156254*s**2 + 383*s + 29. Let z be l(-21). What is z rounded to the nearest 1000000?
69000000
Let m = -2526.07 + 2649.5. Round m to the nearest ten.
120
Let j = 48.664 - 49. Let m = 1.2672 + -0.0932. Let l = m - j. Round l to 1 decimal place.
1.5
Let z = 340222 - 194482. What is z rounded to the nearest 10000?
150000
Let m(t) be the first derivative of t**3/3 + t**2 - 72*t - 4. Let g be m(0). What is g rounded to the nearest 10?
-70
Let k = -226607340 - -226607447.999719. Let r = 108 - k. Round r to 5 decimal places.
0.00028
Let f = 277.85299 - 307.853. Let d = -30 - f. Round d to four dps.
0
Let g = -543585 + 543576.000102. Let y = -9 - g. Round y to five decimal places.
-0.0001
Let t = 72 - 71.248. What is t rounded to two decimal places?
0.75
Let f = 33.126 + -0.226. Let i = 46 + -28. Let o = f - i. What is o rounded to the nearest integer?
15
Let t = -11.3 - -11.89. Let d = -2.71 - t. Let n = -3.2 + d. Round n to zero decimal places.
-7
Let b = 34.12 - 34. Let v = 0.12000082 - b. Round v to seven decimal places.
0.0000008
Let r(a) = a**2 + a + 85000. Let i be r(0). Let d be (-7)/9 + 1 - 176/(-99). Suppose d*o = 3*o + i. What is o rounded to the nearest ten thousand?
-90000
Let m = 2696954 - 2696955.949873. Let s = -1.95 - m. Round s to 5 dps.
-0.00013
Let p = -42.299 + 0.299. Let d = 16289555 + -16289512.999977. Let z = d + p. Round z to 5 dps.
0.00002
Let p = 0.2312 + -1241.2312. Let w = 1240.999301 + p. Round w to 4 decimal places.
-0.0007
Suppose -8*w + 5*w + 297 = 0. Let b be (-18)/w - (19030002/11)/(-1). Round b to the nearest one hundred thousand.
1700000
Let v = -745 - -745.1316. Let k = v - 0.159. Round k to three dps.
-0.027
Let x = 405 - 413.04. Let u = x - -8.0400401. What is u rounded to 6 decimal places?
0.00004
Let t = 32 - 23. Let u = t + -9.1. Let a = 0.09999916 + u. Round a to 7 dps.
-0.0000008
Let s = -0.82 - -0.55. Let z = 0.08 - -0.234. Let v = z + s. What is v rounded to 2 dps?
0.04
Suppose 3*w - 5*q + 35 = 0, w + 18 = -5*q - 7. Let s = w - -18. Suppose 4*t + t + 1 = s*x, -5*t + 13 = 4*x. Round t to the nearest 10.
0
Let j = 57.080444 - -0.920416. Let m = -58 + j. Round m to 4 dps.
0.0009
Let w(x) = x**3 - 7*x**2 + 4*x + 16. Let d be w(6). Suppose -4*b = -3 - 465. Suppose -d*t + b = -3. Round t to the nearest 100.
0
Let u = -1145.7 + 1196. Let a = -54 + u. Let c = a + 3.669. What is c rounded to two dps?
-0.03
Let s = -1748920 - 36646004. Let n = 38394653.00203 + s. Let d = -271 - n. What is d rounded to 4 dps?
-0.002
Let m(h) = -1960*h**2 - 81*h + 113. Let p be m(33). Round p to the nearest one hundred thousand.
-2100000
Let c(q) = 11342*q**2 - 5*q - 33. Let k be c(-23). What is k rounded to the nearest 1000000?
6000000
Let f = 80486.3 - 80486.38400142. Let i = f + 0.084. What is i rounded to seven dps?
-0.0000014
Let u = -169.999035 - -170. What is u rounded to four dps?
0.001
Let u = 3821803 - 1521803. Let v be 3 - (-2)/(2/1). Suppose 0 = g + v*g - u. What is g rounded to the nearest 100000?
500000
Let n = 0.05759 - 904.25759. What is n rounded to the nearest ten?
-900
Let a = 7541071.9739 + -7541536. Let h = a - -464. What is h rounded to 3 decimal places?
-0.026
Suppose 4783 = 28*q - 7341. Round q to the nearest 10.
430
Suppose -89*m - 228048 = 4*b - 85*m, 3*m = b + 57004. Round b to the nearest ten thousand.
-60000
Suppose 0 = -12*a + 9*a - 11377689. Let p = 6462563 + a. What is p rounded to the nearest one hundred thousand?
2700000
Suppose -4246 = -5*g - 321. Suppose -k + 215 = -g. What is k rounded to the nearest 10000?
0
Suppose -10*c + 232800 = -22*c. Round c to the nearest 1000.
-19000
Let a be (-206*1)/(12/(-66)). Let d = -77 - a. Round d to the nearest one hundred.
-1200
Let f = 62.657 - 65.36. Let a = 11.003 + -11. Let o = f + a. Round o to zero dps.
-3
Let i be 52/65 + (-16)/(-5). Suppose 0 = -4*s - b + 469159 + 210841, 5*s - 850000 = -i*b. What is s rounded to the nearest one hundred thousand?
200000
Let a = 70.51 + -69.90953. Let h = -0.03 + 0.63. Let d = a - h. What is d rounded to four decimal places?
0.0005
Let z = -50 + 83. Let d = z - 33.0086. Round d to 3 dps.
-0.009
Let t = -2015.1989 - -2015. Round t to two dps.
-0.2
Let d(p) = 22*p**3 - 7*p**2 + 15*p - 27. Let y be d(5). What is y rounded to the nearest one thousand?
3000
Let r = -10.94 + 11. Let v = -20 - -19.81. Let x = v - r. What is x rounded to one dp?
-0.3
Let c = -1.8 - 0.8. Let u = 6.8 + c. What is u rounded to 0 dps?
4
Let r = -2679362699.9999911 + 2679362850. Let v = 150 - r. What is v rounded to 6 dps?
-0.000009
Let f(b) = -b**3 - 7*b**2 - 8*b - 8. Let d be f(-6). Let o be 4/(-8) + 14/d. Suppose o*p + 90 = p - 2*t, p = 3*t - 57. What is p rounded to the nearest 10?
-50
Let p = 242.4 - 242.3998477. Round p to five dps.
0.00015
Let v(u) = 4376*u - 8. Let w be v(8). Suppose 0 = q + 6*q + w. Round q to the nearest ten thousand.
-10000
Let c = -12261070.923749 - -12261076. Let o = 5.0262 - c. Let f = -0.05 - o. Round f to 5 decimal places.
0.00005
Suppose 1102 = 6*x + 6082. What is x rounded to the nearest one thousand?
-1000
Let a = -23 | {
"pile_set_name": "DM Mathematics"
} |
+ -21. Let o be (-2 - -2) + -3 - 1. Determine o*l(z) + q*i(z).
z**3 + z
Let h(k) = 2*k**3 + 2*k**2 + 4*k + 2. Let g be (-2)/(-4 + (0 - -3)). Let y be g + -4 - -4 - -2. Let m(t) = -t**3 - t**2 - t - 1. What is y*m(b) + h(b)?
-2*b**3 - 2*b**2 - 2
Let d(i) = 7*i**3 - i**2 + 11*i + 6. Let r(m) = -6*m**3 - 10*m - 5. Let a(o) = 5*d(o) + 6*r(o). Let y(u) = u**2 + u. What is a(q) + 5*y(q)?
-q**3
Suppose -2*m + 0*m - 6 = 0. Let c(w) = 10*w + 2. Let k(r) = -r. Let j(u) = c(u) + 6*k(u). Let b(y) = 5*y + 2. Determine m*b(s) + 4*j(s).
s + 2
Suppose 2*x - 66 = -x. Suppose 2*m = m + x. Let k(n) = 7*n - 15. Let y(c) = -2*c + 4. Calculate m*y(g) + 6*k(g).
-2*g - 2
Let m(b) = -3*b**3 + 3*b**2 - 8*b. Let y(t) = -2*t**3 + 2*t**2 - 5*t. Determine -5*m(s) + 8*y(s).
-s**3 + s**2
Let m(n) = -9*n - 4. Let z(j) = 9*j + 5. What is 6*m(t) + 5*z(t)?
-9*t + 1
Suppose -5*z - 2 = -7*z. Let k(b) = b**3 - b**2 + 1. Let t(v) = -2*v**2 + v + 1. Determine z*t(g) - k(g).
-g**3 - g**2 + g
Let u(z) = 37*z - 2. Let n(x) = 73*x - 4. Calculate 3*n(j) - 5*u(j).
34*j - 2
Let b(t) = 32*t**3 + t**2 - 4*t. Let c(z) = 31*z**3 + z**2 - 3*z. What is -3*b(l) + 4*c(l)?
28*l**3 + l**2
Let m(h) = -10*h + 26. Let n(x) = -x**3 + 4*x**2 - 2*x - 1. Let r be n(3). Let b(v) = r*v + 0*v + 5 + 0 - 4*v. What is -16*b(k) + 3*m(k)?
2*k - 2
Let p(i) = 1. Let x(a) = 2*a + 8. Calculate -8*p(l) + x(l).
2*l
Let x = -12 - -17. Suppose x*j - 3*j = 8. Let l(m) = -2*m + 1. Let p(b) = -3*b + 1. What is j*p(a) - 5*l(a)?
-2*a - 1
Let s(r) = 3*r + 2. Let h(g) = -g. Give 6*h(d) - s(d).
-9*d - 2
Let b(n) = -5*n**2 + 4*n - 4. Suppose -2*c = c - 15. Let v(p) = 5*p**2 - 5*p + 5. What is c*b(w) + 4*v(w)?
-5*w**2
Let j(l) = 8*l - 1. Let y(v) = 15*v - 3. Let x = -10 - -5. Let q(f) = x*j(f) + 3*y(f). Let o(u) = -14*u + 11. Calculate -3*o(d) - 8*q(d).
2*d - 1
Let u(x) = -x**2 - x - 7. Let k(c) = 1. What is -3*k(m) + u(m)?
-m**2 - m - 10
Let f(t) = 4*t**2 - 2*t + 1. Let y(b) = 7*b - 27 + 22 + 2*b - 17*b**2. Let h = -12 - -21. What is h*f(v) + 2*y(v)?
2*v**2 - 1
Let d(h) = -496*h**2 - 2 + h**3 + 496*h**2 - h. Let i(j) = j**2 + 1. Calculate d(r) + 2*i(r).
r**3 + 2*r**2 - r
Let t(m) = -m - 3. Let g(r) = 21*r - 6 + 21*r - 45*r. Determine -2*g(a) + 5*t(a).
a - 3
Let s(p) = 14*p**3 - 23*p**2 - 9*p + 11. Let r(h) = -5*h**3 + 8*h**2 + 3*h - 4. Determine -11*r(z) - 4*s(z).
-z**3 + 4*z**2 + 3*z
Let p(o) = o**2 - o. Let r(j) = -2*j**2 - 3*j - 1. Calculate 6*p(l) - r(l).
8*l**2 - 3*l + 1
Let u(p) = -p**3 + 2*p. Let o be u(-2). Let y(a) = -2*a**3 + a**2 - 4*a + 4. Suppose -10 = -3*i - 4. Let q(h) = 2 + 0*h - 1 + h - i*h. What is o*q(v) - y(v)?
2*v**3 - v**2
Let j(i) = -i. Let w(r) = -3*r - 22. Determine -5*j(a) + w(a).
2*a - 22
Let r(f) = 2*f**2 - 5*f - 2. Let h be 23/(-3) - (-34)/51. Let x(o) = 4*o**2 - 9*o - 3. Calculate h*r(a) + 4*x(a).
2*a**2 - a + 2
Let b(w) = w**2 + w. Let g = 0 + 0. Let t be 0 - (g + -1 + 2). Let h(v) = 33*v - 31*v + 0*v**2 + 4*v**2. What is t*h(q) + 2*b(q)?
-2*q**2
Let i(w) = -9*w**2 - 5*w + 5. Let n(r) = 9*r**2 + 4*r - 4. What is 5*i(o) + 6*n(o)?
9*o**2 - o + 1
Let c(z) = z**2 - 8*z + 6. Let n(o) = o + 13. Let v be n(-8). Let h be c(v). Let d(t) = -3*t**2 - 2*t. Let s(p) = 13*p**2 + 9*p - 1. Give h*d(b) - 2*s(b).
b**2 + 2
Let a(f) be the first derivative of -f**4/2 + f**2 + f + 8. Let r(p) = p + 1. Give a(h) - r(h).
-2*h**3 + h
Let o(a) = 11*a**2 + 6*a + 2. Let p(q) = -33*q**2 - 17*q - 5. Give 11*o(g) + 4*p(g).
-11*g**2 - 2*g + 2
Let k(n) = -n - 7. Let g(b) = 6. Let l be 1/((-4)/(-12)*9/(-21)). Give l*g(m) - 6*k(m).
6*m
Let u(n) = -n + 1. Let m(o) = -3*o - 1. Let h(w) = -m(w) + 2*u(w). Let y(q) be the first derivative of h(q). Let f(j) = -2*j - 2. What is -f(v) - 3*y(v)?
2*v - 1
Let k(h) = 9*h + 4. Let c(f) = 8*f + 3. What is -5*c(n) + 4*k(n)?
-4*n + 1
Let p(k) = -21*k**3 + 24*k**2 + 24*k + 24. Let r(h) = 4*h**3 - 5*h**2 - 5*h - 5. Determine -5*p(w) - 24*r(w).
9*w**3
Let v(j) = -120*j - 2. Let o(z) = -121*z - 3. Determine 2*o(t) - 3*v(t).
118*t
Let u(k) = -5*k**3 + 2*k**2 - 8*k + 3. Let o(a) be the first derivative of a**4/2 - a**3/3 + 3*a**2/2 - a + 2. Give -8*o(j) - 3*u(j).
-j**3 + 2*j**2 - 1
Let g = -2 + 3. Let x(z) = -g + 0*z + 2 + 0*z + z. Let o(k) = -4*k - 3. Give -2*o(d) - 7*x(d).
d - 1
Let y = -15 - -19. Let l(n) = -n**3 + 5*n**2 - 2*n. Let i be l(y). Let k(z) = 5*z**3 - 3*z**2 - 3. Let w(j) = -14*j**3 + 8*j**2 + 8. Determine i*k(t) + 3*w(t).
-2*t**3
Let q(v) = 4*v**2 + 12*v + 3. Let s(b) = 9*b**2 + 25*b + 6. Calculate 7*q(y) - 3*s(y).
y**2 + 9*y + 3
Let i(l) = l. Let g(s) = 9*s. Let f be 7 + (-5 + -1)/1. Determine f*g(v) - 6*i(v).
3*v
Let t be ((-13)/(-39))/(1/(-3)). Let y(m) = m**3 + m**2 + m - 1. Let u(n) = -12 + 2 + 8*n**3 + 5*n**2 + 5*n**2 + 10*n. Determine t*u(q) + 10*y(q).
2*q**3
Let l(h) = -1. Let x = 18 + -12. Let y(i) = -1 - i + x*i - 4*i. Determine -l(n) + y(n).
n
Let v(w) be the second derivative of -w**5/20 + w**2/2 - 2*w. Let r(a) = -14. Let i(y) = 3. Let u(t) = 9*i(t) + 2*r(t). Calculate u(o) + v(o).
-o**3
Let p(q) = -2*q**3 - 2*q + 1. Let m(a) = -11*a**3 - 11*a + 6. Determine -6*m(b) + 34*p(b).
-2*b**3 - 2*b - 2
Let c(x) = -x**3 - x**2 + x. Let n(a) = -8*a**3 + 8*a. What is 6*c(q) - n(q)?
2*q**3 - 6*q**2 - 2*q
Let b(h) = 6*h + 1. Let l(y) = 7*y + 2. Determine -5*b(z) + 4*l(z).
-2*z + 3
Let w(q) = 15*q + 2 + 19*q - 44*q + 15*q + 5*q**2. Let n(z) be the first derivative of -4*z**3/3 - 2*z**2 - z + 1. What is 4*n(v) + 3*w(v)?
-v**2 - v + 2
Let p = 44 - 45. Let o(t) = -3*t**3 - 6*t**2 + 4*t + 4. Let j(a) = a**2 - a - 1. What is p*o(c) - 4*j(c)?
3*c**3 + 2*c**2
Let n(m) = -6*m - 2. Let d(q) = -4*q + 5. Let r(f) = 5*f - 6. Let g(s) = -6*d(s) - 5*r(s). Let z = -48 - -43. Calculate z*g(a) + n(a).
-a - 2
Let d(b) = 10*b**3 + 5*b**2 - 5*b - 5. Let x(u) = u**3 - u**2 + u + 1. Determine d(s) + 5*x(s).
15*s**3
Let t(p) = p**2 + p - 2. Let l(k) = k**2 + k - 3. What is -3*l(b) + 5*t(b)?
2*b**2 + 2*b - 1
Let b(j) = -1. Suppose -2*z + 4 = -2*d, 4*z - d - 8 = 2*d. Let x = -4 - -7. Let h(o) = o - 3*o + o - x + 2. Calculate z*b(r) - 2*h(r).
2*r
Let w(o) = o**2 - 2*o. Let j(a) be the second derivative of -a**4/4 + 5*a**3/6 - 10*a. Determine 2*j(r) + 5*w(r).
-r**2
Let m(x) = 5*x - 6. Let r(k) = -6*k + 23. Let h(v) = v + 2. Let n(q) = 5*h(q) - r(q). What is -9*m(l) + 4*n(l)?
-l + 2
Let l(d) = -4 - 2 - 2*d + 4. Let v(o) = -o - 1. Determine -2*l(m) + 3*v(m).
m + 1
Suppose 2*a = -3*b - a + 12, 5*b - 5*a = 0. Suppose b*k - k = -9. Let y(g) = 2*g**2 - 11*g + 11. Let w(j) = j**2 - 5*j + 5. Determine k*w(t) + 4*y(t).
-t**2 + t - 1
Let t(o) = 3*o**3 + 44*o**2 + 5. Let d(f) = -f**3 - 15*f**2 - 2. Give 11*d(x) + 4*t(x).
x**3 + 11*x**2 - 2
Let r(y) be the second derivative of 5*y**3/2 - y**2 + 41*y. Let w(j) = 16*j - 2. Let p(a) = -8*a + 1. Let k(n) = -11*p(n) - 6*w(n). What is -11*k(m) - 6*r(m)?
-2*m + 1
Let g(p) be the third derivative of 0*p + 0 - 1/24*p**4 - 2/3*p**3 + 10*p**2. Let h(t) = -3*t - 11. What is -8*g(o) + 3*h(o)?
-o - 1
Let y(v) = 6*v - 1. Let d(g) = 6*g + 1. Let t(k) = 5*k + 1. Let b(f) = 6*d(f) - 7*t(f). Determine 2*b(j) - y(j).
-4*j - 1
Let z(w) be the third derivative of -w**4/8 - 5*w**3/6 + 13*w**2. Let f(m) = -1. Calculate 6*f(q) - z(q).
3*q - 1
Let n(x) = -7*x + 2. Let a(o) = -13*o + 4. Let i(m) = 4*m - 9. Let b be i(5). Calculate b*n(h) - 6*a(h).
h - 2
Let x = 18 + -31. Let r be (2 + -1)*(1 - 1). Let j(d) = 6 + 2 - 5*d - d**2 + r*d. Let q(w) = -2*w**2 - 11*w + 17. What is x*j(n) + 6*q(n)?
n**2 - n - 2
Let i(z) = -z**3 - z**2 - z + 1. Let o(m) = 11*m**3 - 2*m**2 - 2*m + 2. Determine 2*i(f) - o(f).
-13*f**3
Suppose -9 - 3 = -3*x. Suppose -15 = -n - x*n. Suppose -n*r + 66 = 12. Let o(g) = -g. Let k(v) = v**3 - 9*v. What is r*o(y) - 2*k(y)?
-2*y**3
Let l(p) = -27 + 3*p - 2*p + 34. Let y(q) = -2*q - 11. What is 8*l(d) + 5*y(d)?
-2*d + 1
Let r(v) = -v**2 - v - 1. Let d(x) = 2*x**3 + 12*x**2 + 12*x + 12. Let p be 24/9*18/(-4). Give p*r(a) - d(a).
-2*a**3
Let i(g) = -3*g + 2. Let q(y) = 4*y + 1 - 4 - 2 + 3*y. Give -5*i(d) - 2*q(d).
d
Let h(s) be the first derivative of 1 + 4*s + 5/2*s**2. Let d(g) = -g - 1. What is -4*d(k) - h(k)?
-k
Let x(u) = 7*u**2 - 3*u + 3. Let w(k) = -182*k**2 + 77*k - 77. Give -6*w(p) - 154*x(p).
14*p**2
Let v(k) = -25*k**3 + 20*k**2 - 20*k + 20. Let s(b) = b**3 - b**2 + b - 1. Determ | {
"pile_set_name": "DM Mathematics"
} |
- 17. Solve -c + 3*a = -i, -5*c + a = -0*c + 1 for c.
-1
Suppose 162 = 9*g - 6*g. Let a be ((-4)/12)/(-1)*g. Solve -n + a = 4*v - v, 0 = n + 4*v - 23 for n.
3
Suppose 10*o - 14*o + 120 = 0. Suppose 5*x = -o + 145. Let i(n) = n**2 - n - 2. Let c be i(-2). Solve 4*a - p = 2*a - 13, x = -c*a + p for a.
-5
Let g be (4/(-10))/((-10)/100). Suppose 5*w = -g*v + 23, -4*v + 12 = -v + 2*w. Solve 3*f - 3*h + h = 2, -2*f = -v*h - 4 for f.
-2
Let r(v) = v**3 + 4*v**2 - 5*v + 4. Let i be r(-5). Suppose -5*u - 2 = -22. Suppose -u*d - 2 = -18. Solve h - 3 = i*w + 4*h, 4 = -w - d*h for w.
0
Let c(m) = -8*m - 8 + 10*m - 1. Let v be c(6). Suppose -v*z = -z. Solve z = 5*f + 4*u + 7 - 2, 5*f - 5*u + 50 = 0 for f.
-5
Let h = 468 - 468. Solve h = -3*i - 0*c + c + 10, -c = 4 for i.
2
Let o be (-50)/(-30)*((-11)/(-5) - 1). Solve 0 = 2*b - o, -4*n - 2*b = n - 22 for n.
4
Suppose 0 = -6*a + 24. Solve l + a*r = 18, 5*l + 4*r - 12 + 2 = 0 for l.
-2
Suppose 5*i = 2*l - 0*l - 35, 0 = 2*i - l + 13. Let k(m) = -m**3 - 8*m**2 + 8*m - 6. Let a be k(i). Solve -2*u - 4*x = u - 23, 0 = a*u - 5*x + 22 for u.
1
Let x(g) = -g**2 + 9*g - 3. Let c be x(8). Suppose -r = -3*i + 5*i - 2, -r + c = 5*i. Solve r = 2*p - 2*f + 6, -3*p = p - 2*f + 6 for p.
0
Let q = 1 + -7. Let i(g) = 2*g**2 + 7*g + 14. Let x be i(q). Suppose 5*j - 54 = -4*w, 3*j + 4*w - x = -j. Solve 0 = 4*s + 2*c, s + 0*c - j = 2*c for s.
2
Suppose 2*m = -2*j + 4, 7*j - 6*j - 2 = 4*m. Solve -k - 3 = 4*b, b = k + j*b for k.
1
Suppose -15*m = -17 - 58. Solve -3*u = 5*c + 7 - 20, m*u + 20 = 0 for c.
5
Suppose -5*k - 3*z + 42 = -0, -25 = -3*k - 2*z. Let v be k - (2 + (3 - 4)). Let h = v - 5. Solve -h*i = -d - 16, -3*i = -2*d - 12 - 5 for i.
5
Let g = 18 - 6. Suppose -6 = -3*v + g. Solve 5*p - 2*x = 10, -v = 3*p - 2*p - 2*x for p.
4
Let y = -63 + 63. Suppose -5*m + 3*z + 13 = y, -5*z - 10 + 3 = -m. Solve -s + 2 = 0, -2*s + 18 = 5*u + m*s for u.
2
Let r = -441 - -444. Solve -2*z + 11 = f, -r*z - f = 2*f - 21 for z.
4
Let m be -2*-2*1/(-4). Let f be (m/(-2))/(2/(-32)). Let v = f - -9. Solve 0 = 4*k + 3*i - 8, -3*k + 20 = -i + v for k.
5
Let y(w) = -w + 3. Let c be y(-5). Suppose -g - 3*g + c = 0. Solve 3*f = -2*o - 1 + g, -2*f - 3*o = 6 for f.
3
Let g be (1 + (-1)/3)/((-3)/(-9)). Solve g*j = 4*z - 8, -5*z + 2*j = 3 - 14 for z.
3
Suppose -8*r - 65 = 5*t - 3*r, 3*t + 43 = r. Let m be ((-3)/2)/(7/t). Solve 2*z = -2*a + 16, -2*a - 3*a = -m*z for z.
5
Let s = -8 - -6. Suppose 2*g - 3*p = g - 13, 15 = -3*g + p. Let k be (s/g)/((-4)/(-104)). Solve -13 = 4*n - 2*v - v, 2*n = -5*v - k for n.
-4
Let m(g) = -7*g + 55. Let n be m(15). Let u = n + 54. Solve u*z - j - 7 = 0, 4*j = -5*z + 9*z - 4 for z.
2
Suppose 4*z + 8 - 52 = -4*a, 5*z + 3*a = 45. Solve 0 = 2*u - 7*u - d - z, -4*d - 4 = 0 for u.
-1
Let f(c) be the second derivative of c**4/12 + c**3/6 - 5*c. Let l be f(-1). Solve -2*j - 10 = 4*u, 2*u + 3*j = -l*j + 5 for u.
-5
Let d be (-12)/6 - 4 - (-22)/2. Solve d*a + 8 + 7 = 0, -2*r + 4 = -2*a for r.
-1
Let u = 22 + -12. Let a = 14 - u. Suppose 4*f - 20 = -3*v, -5*f + a - 2 = -2*v. Solve -f*z + z + 1 = 3*r, 2*r = -3*z - 4 for r.
1
Suppose 4*o = 4*a + 36, 8*o - 11 = 5*o - a. Solve 0 = -n - s - o, 3*n + 0 = -2*s - 14 for n.
-4
Suppose t = -0 + 6. Suppose -4*y + 6*y - 6 = 0. Suppose -y*a + 10 + 5 = 0. Solve r - 2*r = a*b - 18, t = b - r for b.
4
Suppose 3*x - 38 = l + l, -4*l - 48 = -4*x. Let u(i) = 5*i + 6*i + 4*i + 9 - i**2. Let m be u(x). Solve 4*k + 4*c - c = m, 22 = 4*k + 2*c for k.
5
Let a(s) = -s**3 + 10*s**2 - 6*s - 19. Let x be a(9). Solve -2*o = -b, 2*o = 4*b - 2*o - x for b.
4
Let l = 61 - 35. Suppose -2 = 2*p - l. Solve -4*g - p = n - 2*n, -2*g = 6 for n.
0
Let z = -797 + 799. Solve -10 = 4*w - 2*n, -10*n - 10 = -z*w - 12*n for w.
0
Let q be 2*(228/57)/((-16)/(-6)). Solve -c = 0, q*g = -3*c + 5*c for g.
0
Let m = -1001 - -1003. Solve m*r - 2*q = -4, 2*q - 6*q = 5*r - 26 for r.
2
Let v = 24 + -37. Let l = -35 - v. Let r be ((-16)/(-3))/(l/(-33)). Solve d - 5*k + r = 4*d, -4*d - 32 = -4*k for d.
-4
Suppose 2*k + 1035 = 1049. Solve -5*z = 3*u + 4 + k, -3*u + 17 = -2*z for u.
3
Let m be (-314)/(-6) - (-2)/(-6). Suppose y = 3*y - m. Suppose -5*d + y + 54 = 0. Solve w + w - 4*c = -d, -w - 5 = -c for w.
-2
Let h(u) = -u**3 + 10*u**2 + u - 6. Let r be 9*2/3 + 4. Let c be h(r). Let l = c + 36. Solve 0 = 5*w - 5*t + l, 16 = -2*w + 3*t - 5 for w.
-3
Suppose -d - 4*n - 37 = -103, n - 54 = -d. Let m = -44 + d. Solve 5*a = -4*s + 12, 0*s + m = 4*a + 2*s for a.
0
Let y = -121 + 134. Solve -2*w = -h - 7, -5*h - y = 3*w - 2*w for h.
-3
Let r = 963 + -961. Solve 4*k - 9*k + 15 = -3*j, -r*k = -j - 5 for k.
0
Let l be (-14)/(-105) + 516/180. Solve 3*m + 11 = j, l*j - 7 = m + j for m.
-3
Suppose 0 = o - 5*o - 24. Let t be 1/(-2) - 27/o. Solve -2*a + 2*m - 4 = 0, t*m - m - 2 = 5*a for a.
2
Let m = 417 - 413. Solve 3 = m*z - 4*y - 1, 0 = 2*z + y + 1 for z.
0
Suppose -118*j + 330 = -52*j. Solve -4*h - 3 = 3*g - 2*h, -j*h + 18 = -g for g.
-3
Let u = 38 - 30. Let n be (-3 + 0)/((-6)/u). Solve c = a - 2*c - 11, 3*c = -n*a - 16 for a.
-1
Let a = 10 + -4. Let g(j) = j**2 - 5*j - 6. Let p be g(a). Solve -k = 2*z + k, p = 2*z + 4*k + 2 for z.
1
Suppose 0 = -g - 4*c - 10, 0 = 5*g - 4*c + 1 + 1. Let n be 0/((-3)/(-6)*g)*1. Solve 0 = 2*y + 3*d + 17, 4*y + n*y + 3*d + 19 = 0 for y.
-1
Let i(o) = o - 6. Suppose -4*c + 3*a = 4 - 18, 2*c - 4*a = 12. Suppose 8 = -c*n + 3*n. Let x be i(n). Solve x*g = -2*g - 4*p + 24, p = 3 for g.
3
Let h be (64/(-96))/((-2)/15). Solve -2 = 2*c - 4*f, 5*c - f = -h*f + 9 for c.
1
Suppose -2 = -5*d + 13. Solve -d*m + 3*v = 12, -4*m = 2*v - v - 4 for m.
0
Suppose -7 = -2*i + 4*i + 5*g, 3*i - g = 15. Suppose -2*f = i*j + f - 19, -3*f = -4*j + 13. Solve -5*h - 5 = 0, -j*h - 10 = -4*a - 2*h for a.
2
Let d be 2052/266 - (-4)/14. Solve p + 1 = 0, -p = 4*z - d - 3 for z.
3
Let l(h) be the first derivative of 2*h**2 + 54*h + 24. Let n be l(-13). Solve -2*x - x - 4 = 5*r, 0 = -n*r - 3*x + 2 for r.
-2
Let a be ((-12)/10)/(90/(-225)). Solve t + a*p = 3*t - 5, 0 = 4*t - 3*p - 13 for t.
4
Suppose 2*z - 7 = -v, 5*v - 4*z = -0*v + 21. Solve 3*u = v*j + 10, 2*j + 3*j + 15 = 4*u for u.
5
Let y be ((-30)/(-18))/((-6 + 7)/3). Suppose -15 = c - 6*c. Solve -19 = j - c*h, -j + 0*j - y*h = -21 for j.
-4
Let x(j) = 3*j**2 - j. Let c be x(1). Let a be (-56)/252 - 2/(-9). Let h be (-10)/(-4)*(c + a). Solve 21 + 6 = r + 5*o, -3*o + h = -5*r for r.
2
Let g(h) = h**2 + h - 12. Let i be g(-4). Solve -n - 2*p + 4 = i, -6*n - 4*p + 20 = -n for n.
4
Suppose 0 = 3*w - 7*w + 4. Let a(x) = 4*x**2 - x + 1. Let d be a(1). Suppose -j - 5*i = j + 14, 0 = d*i + 16. Solve -w = -r - j*q - 4, q + 1 = 0 for r.
0
Let r(s) = 2*s**2 + 55*s - 87. Let w be r(-29). Solve w*q + 3*c + 16 = q, c + 3 = -2*q for q.
1
Let w = -113 - -113. Solve w = a + 5*l, 2*a + 11 = -0*a + l for a.
-5
Let q = -543 + 550. Solve -2*x = 3*c - q, -4*c = 2*x - 1 - 11 for x.
-4
Let a be 27/(-45) - (-2)/(-5). Let d be (a + (-14)/6)*27/(-18). Solve d*y - 1 = 3*l, y = -l + 4*y + 1 for l.
-2
Let y = 26 + -21. Suppose 2*g = -y*r - 1, 8 = 5*g + 3*r + 1. Suppose g*t = -5*v + 38, v + 2*v - 12 = 0. Solve -15 = -5*i - 5*f, -3*i + 0*f + t = -2*f for i.
3
Let z be (-6)/(0 - -3) - -4. Suppose -5*p = 4*h - 54, -z*h + 37 = 4*p - 5*h. Solve -5*l = -2*c + p, l - 10 = -4*c + 10 for l.
0
Suppose 18*r - 180 = -27*r. Solve -4*h = -2*j + 14, r*j + j - 11 = 2*h for j.
1
Let s be 2 + 5/(4 - -1). Suppose s*l = 0, l + 10 = 2*i - 0*l. Solve i*w = -2*o - 7, 4*w + o - 3*o = -2 for w.
-1
Let c = -450 + 454. Solve -4*v = -5*d, -c*d + 5*v = -0*d for d.
0
Suppose -52 = 4*s - 3*n, 3*s + 4*n + 48 = s. Let y = s + 22. Suppose 2*x + 2*a = 20, 6*x - 3*a = 2*x + 40. Solve p = -i + y*p + x, -2*p = -5*i + 4 for i.
0
Let p = -3 - -3. Suppose -f + 6 = f, 2*f + 6 = 3*r. Suppose -4*h + y = -2*y - 23, 21 = r*h - y. Solve -o + 25 = -4*m, p = h*m - 2*m + o + 10 for m.
-5
Suppose 5*r + 25 = 5*d, -8*d - 4*r - 10 = -7*d. Solve 5*f - d*z = -14, -4*f = 4*z - 0*z for f.
-2
Let d(z) = 4*z + 25. Let x be d(-6). Solve 4*w = -m - 8, -m + 4*w = -7 - x for m.
0
Suppose 6*s + 2 = 4*s + 4*q, 0 = 2*s - 3*q + 1. Solve -2 = -t - 2*x, -t - s + 3 = -4*x for t.
2
Suppose 6*c = -3*c + 45. Suppose 0 = 4*m - 16, c*m - m - 16 = -5*p. Solve p = i + 3*i + o - 18, -2*o + 20 = 4*i for | {
"pile_set_name": "DM Mathematics"
} |
nearest integer?
26
What is 1753 to the power of 1/7, to the nearest integer?
3
What is the square root of 92661 to the nearest integer?
304
What is the tenth root of 39618 to the nearest integer?
3
What is the square root of 104 to the nearest integer?
10
What is the square root of 4722 to the nearest integer?
69
What is the square root of 275 to the nearest integer?
17
What is the square root of 62925 to the nearest integer?
251
What is 428 to the power of 1/3, to the nearest integer?
8
What is the third root of 2025 to the nearest integer?
13
What is the third root of 8869 to the nearest integer?
21
What is 987 to the power of 1/2, to the nearest integer?
31
What is the third root of 1316 to the nearest integer?
11
What is 8310 to the power of 1/2, to the nearest integer?
91
What is 18786 to the power of 1/6, to the nearest integer?
5
What is the cube root of 101562 to the nearest integer?
47
What is the third root of 4793 to the nearest integer?
17
What is the ninth root of 2383 to the nearest integer?
2
What is 23879 to the power of 1/3, to the nearest integer?
29
What is 3003 to the power of 1/2, to the nearest integer?
55
What is the square root of 16449 to the nearest integer?
128
What is the square root of 65777 to the nearest integer?
256
What is the cube root of 82692 to the nearest integer?
44
What is 39633 to the power of 1/3, to the nearest integer?
34
What is the ninth root of 6283 to the nearest integer?
3
What is the third root of 920 to the nearest integer?
10
What is the square root of 485 to the nearest integer?
22
What is the square root of 2884 to the nearest integer?
54
What is the eighth root of 4082 to the nearest integer?
3
What is the square root of 21004 to the nearest integer?
145
What is 751 to the power of 1/4, to the nearest integer?
5
What is the tenth root of 2101 to the nearest integer?
2
What is 3521 to the power of 1/2, to the nearest integer?
59
What is the square root of 7842 to the nearest integer?
89
What is 1136 to the power of 1/6, to the nearest integer?
3
What is the third root of 73769 to the nearest integer?
42
What is the square root of 3195 to the nearest integer?
57
What is the tenth root of 313 to the nearest integer?
2
What is 1193 to the power of 1/2, to the nearest integer?
35
What is 1810 to the power of 1/2, to the nearest integer?
43
What is 1167 to the power of 1/3, to the nearest integer?
11
What is the fourth root of 84825 to the nearest integer?
17
What is the cube root of 4628 to the nearest integer?
17
What is the eighth root of 24351 to the nearest integer?
4
What is the cube root of 43395 to the nearest integer?
35
What is 99 to the power of 1/2, to the nearest integer?
10
What is the cube root of 506 to the nearest integer?
8
What is 5083 to the power of 1/3, to the nearest integer?
17
What is 769 to the power of 1/2, to the nearest integer?
28
What is the square root of 3004 to the nearest integer?
55
What is 84579 to the power of 1/5, to the nearest integer?
10
What is 46779 to the power of 1/2, to the nearest integer?
216
What is the ninth root of 149 to the nearest integer?
2
What is 1124 to the power of 1/2, to the nearest integer?
34
What is the third root of 145759 to the nearest integer?
53
What is 2237 to the power of 1/7, to the nearest integer?
3
What is the sixth root of 2460 to the nearest integer?
4
What is the third root of 30068 to the nearest integer?
31
What is 918 to the power of 1/2, to the nearest integer?
30
What is 10398 to the power of 1/7, to the nearest integer?
4
What is the third root of 6797 to the nearest integer?
19
What is the cube root of 1039 to the nearest integer?
10
What is 36518 to the power of 1/2, to the nearest integer?
191
What is 8597 to the power of 1/2, to the nearest integer?
93
What is 6544 to the power of 1/5, to the nearest integer?
6
What is the square root of 15245 to the nearest integer?
123
What is 1126 to the power of 1/10, to the nearest integer?
2
What is 149767 to the power of 1/5, to the nearest integer?
11
What is 295 to the power of 1/3, to the nearest integer?
7
What is 982 to the power of 1/5, to the nearest integer?
4
What is the eighth root of 2575 to the nearest integer?
3
What is 7173 to the power of 1/2, to the nearest integer?
85
What is the square root of 67510 to the nearest integer?
260
What is the fourth root of 6208 to the nearest integer?
9
What is the square root of 4214 to the nearest integer?
65
What is the square root of 11086 to the nearest integer?
105
What is the ninth root of 144066 to the nearest integer?
4
What is 65356 to the power of 1/2, to the nearest integer?
256
What is the third root of 11985 to the nearest integer?
23
What is 1495 to the power of 1/6, to the nearest integer?
3
What is the square root of 16156 to the nearest integer?
127
What is the third root of 7083 to the nearest integer?
19
What is the third root of 1629 to the nearest integer?
12
What is 58377 to the power of 1/2, to the nearest integer?
242
What is the third root of 1177 to the nearest integer?
11
What is the tenth root of 1350 to the nearest integer?
2
What is the eighth root of 41112 to the nearest integer?
4
What is the square root of 2937 to the nearest integer?
54
What is the third root of 8025 to the nearest integer?
20
What is the square root of 5491 to the nearest integer?
74
What is the square root of 1888 to the nearest integer?
43
What is the cube root of 4874 to the nearest integer?
17
What is the tenth root of 14561 to the nearest integer?
3
What is 4024 to the power of 1/8, to the nearest integer?
3
What is 970 to the power of 1/3, to the nearest integer?
10
What is the tenth root of 244 to the nearest integer?
2
What is 1277 to the power of 1/6, to the nearest integer?
3
What is the square root of 881 to the nearest integer?
30
What is the seventh root of 667 to the nearest integer?
3
What is the tenth root of 27596 to the nearest integer?
3
What is 24667 to the power of 1/8, to the nearest integer?
4
What is the third root of 137067 to the nearest integer?
52
What is 116059 to the power of 1/3, to the nearest integer?
49
What is 3805 to the power of 1/3, to the nearest integer?
16
What is the cube root of 81190 to the nearest integer?
43
What is 25569 to the power of 1/4, to the nearest integer?
13
What is the fifth root of 32786 to the nearest integer?
8
What is the sixth root of 416 to the nearest integer?
3
What is the ninth root of 20594 to the nearest integer?
3
What is the third root of 1921 to the nearest integer?
12
What is the cube root of 2714 to the nearest integer?
14
What is the third root of 40326 to the nearest integer?
34
What is the square root of 2206 to the nearest integer?
47
What is 14934 to the power of 1/2, to the nearest integer?
122
What is 1028 to the power of 1/9, to the nearest integer?
2
What is 520 to the power of 1/8, to the nearest integer?
2
What is 461 to the power of 1/3, to the nearest integer?
8
What is 1470 to the power of 1/3, to the nearest integer?
11
What is the third root of 386 to the nearest integer?
7
What is the square root of 67807 to the nearest integer?
260
What is the cube root of 18200 to the nearest integer?
26
What is the third root of 24261 to the nearest integer?
29
What is 2826 to the power of 1/3, to the nearest integer?
14
What is the sixth root of 14201 to the nearest integer?
5
What is the sixth root of 32038 to the nearest integer?
6
What is the tenth root of 19997 to the nearest integer?
3
What is the square root of 908 to the nearest integer?
30
What is 39528 to the power of 1/2, to the nearest integer?
199
What is the square root of 64082 to the nearest integer?
253
What is the tenth root of 292 to the nearest integer?
2
What is 7168 to the power of 1/2, to the nearest integer?
85
What is the third root of 49844 to the nearest integer?
37
What is 9527 to the power of 1/5, to the nearest integer?
6
What is 9107 to the power of 1/2, to the nearest integer?
95
What is the third root of 30974 to the nearest integer?
31
What is the tenth root of 6471 to the nearest integer?
2
What is 4238 to the power of 1/2, to the nearest integer?
65
What is 17415 to the power of 1/2, to the nearest integer?
132
What is the seventh root of 52080 to the | {
"pile_set_name": "DM Mathematics"
} |
110 (base 2) to base 7
4416542
-2467846 (base 12) to base 14
-d2d410
Convert 424257 (base 13) to base 14.
2c55ac
Convert 24430132 (base 6) to base 14.
164b68
What is c2128 (base 16) in base 4?
3002010220
-240363 (base 11) to base 10
-381098
22020110201012 (base 3) to base 12
15720b8
What is -113000333001 (base 4) in base 12?
-202b629
51389 (base 13) to base 12
70332
657a58 (base 11) to base 13
2a9c80
Convert -47118 (base 9) to base 5.
-2001240
What is -1875a9 (base 11) in base 8?
-1062734
What is 4111346 (base 7) in base 16?
77b58
What is 99db (base 16) in base 11?
27657
446644 (base 7) to base 2
10011010101110000
Convert -25144777 (base 8) to base 9.
-11408360
Convert -1fe8d (base 16) to base 13.
-4764c
What is -212011011102 (base 3) in base 16?
-6f440
Convert 4587b5 (base 15) to base 3.
20020122022122
What is 796201 (base 10) in base 12?
324921
What is 32253524 (base 6) in base 8?
3513134
Convert -3420244 (base 12) to base 10.
-9995092
Convert b50a04 (base 14) to base 2.
10111010011101110011100
Convert 11010010011101011 (base 2) to base 14.
2b3ab
Convert 163703 (base 10) to base 13.
59687
Convert 66221325 (base 7) to base 11.
3234041
What is -4b155 (base 15) in base 7?
-2016335
What is 294397 (base 11) in base 8?
1601620
-124402 (base 11) to base 9
-328046
110120100201210 (base 3) to base 10
6679632
Convert 101101100010110111 (base 2) to base 14.
4bdb1
-d7676 (base 15) to base 7
-5543604
131042124 (base 5) to base 4
2131011112
What is -a73b5 (base 12) in base 3?
-102011211002
What is 1646685 (base 9) in base 4?
3133312310
Convert -2100202120 (base 3) to base 16.
-b592
Convert 19830f (base 16) to base 9.
3127433
-32013106 (base 8) to base 3
-110211120021011
-2200021012101 (base 3) to base 8
-5332130
Convert -33204130 (base 5) to base 11.
-187455
Convert -63383 (base 11) to base 13.
-33016
Convert -276c8 (base 14) to base 13.
-35439
Convert 64535 (base 15) to base 10.
318425
What is 16051b6 (base 12) in base 14?
84b762
What is -53623 (base 10) in base 8?
-150567
-798491 (base 13) to base 3
-12102001000212
213356242 (base 7) to base 6
1133415344
What is -3811106 (base 9) in base 11?
-1197329
2201443401 (base 5) to base 8
22000011
What is -111100022 (base 4) in base 15?
-1abd5
22154120 (base 6) to base 5
132341402
What is 312353 (base 8) in base 5?
11304114
6433762 (base 10) to base 3
110002212110111
What is 141514 (base 9) in base 10?
86440
Convert -31121133110 (base 4) to base 16.
-3597d4
What is -5169b (base 12) in base 14?
-2aab5
Convert 24b150 (base 12) to base 14.
118844
Convert -3c894 (base 13) to base 14.
-2d528
What is -4809a (base 13) in base 2?
-100000001101101011
768005 (base 14) to base 15
54544b
5ba790 (base 12) to base 9
2721710
What is 841810 (base 10) in base 16?
cd852
-2752551 (base 8) to base 9
-1411738
2b397 (base 12) to base 14
18351
What is -210121021 (base 4) in base 6?
-3110041
Convert 2013e1 (base 16) to base 2.
1000000001001111100001
Convert -1257248 (base 10) to base 6.
-42540332
163427 (base 8) to base 2
1110011100010111
Convert -424255 (base 9) to base 8.
-755036
What is -3a608 (base 13) in base 5?
-11434200
-1440411030 (base 5) to base 8
-16516556
2ec92 (base 15) to base 13
53b64
What is -415334 (base 9) in base 5?
-30343201
What is 12100200200210 (base 3) in base 8?
12672355
Convert -3425634 (base 8) to base 2.
-11100010101110011100
-10110111000 (base 3) to base 10
-68148
3440 (base 11) to base 16
11a9
What is -1438b61 (base 12) in base 14?
-779329
Convert 184926 (base 10) to base 5.
21404201
What is -211011002132 (base 4) in base 9?
-20254252
What is 361651 (base 8) in base 12?
5b7a1
What is 4b1aa2 (base 14) in base 16?
27591e
7a7370 (base 13) to base 10
2900638
-236246 (base 11) to base 10
-374303
102210112212110 (base 3) to base 9
12715773
What is 6876642 (base 9) in base 4?
32022031313
-1000100001001000000011 (base 2) to base 12
-8b8197
Convert 154005 (base 7) to base 13.
10983
What is 302040344 (base 5) in base 8?
4462734
-403382 (base 9) to base 11
-153380
What is 102010002221 (base 3) in base 5?
24000104
What is -22110101100 (base 4) in base 16?
-294450
What is 50415113 (base 7) in base 12?
14a0312
Convert 8777957 (base 10) to base 9.
17458075
a48752 (base 13) to base 11
2197614
Convert 1eb8d3 (base 16) to base 3.
10210021212012
-5473 (base 9) to base 11
-3039
Convert -20111100122 (base 3) to base 7.
-1041461
-1a8d7 (base 14) to base 12
-33165
221044021 (base 6) to base 9
7423274
-100d1 (base 16) to base 6
-1224213
Convert -11212122011 (base 3) to base 5.
-11032322
What is 26411075 (base 8) in base 5?
3002343114
1030411222 (base 6) to base 13
2365217
What is -35480 (base 10) in base 7?
-205304
Convert 7760289 (base 10) to base 2.
11101100110100110100001
What is 18cdc8 (base 14) in base 16?
d70a4
-405a58 (base 11) to base 4
-2133031210
Convert -1863715 (base 9) to base 14.
-1d327d
What is -1100001001101011001111 (base 2) in base 14?
-5ccbb9
What is 102555231 (base 6) in base 3?
10102102211101
4270b5 (base 13) to base 7
16145516
Convert -2444604 (base 7) to base 4.
-1030213020
What is -4c56a0 (base 16) in base 10?
-5002912
2343241123 (base 5) to base 8
24615415
Convert 2100011032 (base 4) to base 12.
24563a
Convert 102113331010 (base 4) to base 16.
497f44
Convert 14412143 (base 7) to base 10.
1364534
Convert -117132 (base 13) to base 9.
-702783
11001011001111101111001 (base 2) to base 10
6659961
What is 3224120 (base 5) in base 3?
2210022201
-2010407 (base 9) to base 12
-4370ba
Convert 160625 (base 10) to base 15.
328d5
Convert -33512333 (base 6) to base 12.
-4126a9
What is 43031154 (base 6) in base 8?
4644416
Convert -31323333212 (base 4) to base 11.
-2076010
Convert -21003402 (base 5) to base 13.
-605ab
-2203205 (base 9) to base 10
-1183334
1311a5 (base 15) to base 6
31340045
101100101101110111010 (base 2) to base 14
2a1dc6
-110000010101010110010 (base 2) to base 5
-401140134
62654 (base 10) to base 7
350444
Convert 452503 (base 15) to base 11.
195323a
What is -204c5a (base 14) in base 13?
-2c1917
222222220222 (base 3) to base 16
81bba
-391462 (base 15) to base 13
-74b3b5
What is -100111100101001100000 (base 2) in base 16?
-13ca60
-1201121111 (base 3) to base 8
-102273
What is -143602 (base 7) in base 12?
-14074
-81017 (base 12) to base 4
-220323103
Convert -26413751 (base 8) to base 14.
-ad9a41
Convert -aecd6 (base 16) to base 9.
-1311134
-1111010100010110000 (base 2) to base 11
-313126
What is 101000110101101011110 (base 2) in base 13?
37b14c
What is 2218301 (base 9) in base 15?
1889e7
Convert 38105 (base 15) to base 14.
493b3
-3510405 (base 6) to base 12
-88405
Convert 10001110010001011111 (base 2) to base 13.
175330
-87777 (base 13) to base 6
-5130540
342415 (base 7) to base 15
130b4
What is -12112331012 (base 4) in base 3?
-10010200112112
-3240a (base 11) to base 5
-3001304
643304 (base 7) to base 5
12033001
-24712 (base 14) to base 8
-256154
a3526 (base 13) to base 3
112220000202
Convert 381b98 (base 13) to base 2.
101001000101111110100
What is 27c157 (base 13) in base 10?
969118
12a1 (base 12) to base 5
32022
-2748c (base 16) to base 2
-100111010010001100
43443324 (base 5) to base 15
760e4
Convert -331433222 (base 5) to base 7.
-15132410
-1124551 (base 7) to base 9
-234257
-2534232 (base 7) to base 14
-87789
-65110052 (base 7) to base 4
-111022223030
40bb2 (base 13) to base 2
11100011000011000
-110001020 (base 3) to base 10
-8781
-201012112202 (base 3) to base 6
-12034032
What is -5522245 (base 7) in base 2?
-10100101100000001011
What is 46dab (base 14) in base 11?
108936
Convert -424755 (base 9) to base 7.
-2102114
What is -313021202 (base 4) in base 13?
-7ba82
Convert 242224 (base 8) to base 11.
57479
Convert -1187852 (base 11) to base 8.
-7667462
What is -12b22 (base 13) in base 10?
-34842
Convert 7b495 (base 12) to base 10.
164849
What is 13303311 (base 4) in base 15?
9729
Convert 1011011011000110111011 (base 2) to base 11.
17659a1
What is aa8189 (base 13) in base 7?
46065421
767b94 (base 13) to base 15
3a101b
Convert -a2a228 (base 13) to base 9.
-7120161
What is -6e63c (base 15) in base 8?
-1260227
202a0 (base 14) to base 13
292a1
What is 2221210200 (base 3) in base 16?
e340
What is 41ab1 (base 12) in base 16?
150e5
What is 95ce5 (base 16) in base 6?
21052433
7055617 (base 8) to base 4
13011 | {
"pile_set_name": "DM Mathematics"
} |
))*(0 + 0 - 1 + (67 + 58 - 44)*(5 + 7 - 4)) to the form h*o + i and give h.
-1294
Express 51*h + 17 + 74*h - 153*h in the form y + f*h and give f.
-28
Rearrange -23*b - 2 + 24*b - 3424*b**3 - 2*b**2 + 3432*b**3 to the form v + d*b + n*b**3 + x*b**2 and give v.
-2
Express (7322 + 1872 + 1502)*(0*z**2 + 3*z**2 + 0*z**2) in the form k + b*z**2 + l*z and give b.
32088
Express -11 + 16*g - 8*g - 3*g**3 - 10*g - 40*g**2 + g**4 + 13 as s*g + t*g**4 + k + b*g**3 + z*g**2 and give t.
1
Express -f**2 + 6414*f + 6398*f - 12812*f + 1661*f**3 - 1 in the form k*f + m + z*f**3 + b*f**2 and give k.
0
Express 144*g**4 - 9*g - 8*g**3 + 1 + 147*g**4 - 4*g**2 + g**2 - 288*g**4 in the form r*g + m*g**2 + p*g**3 + i + z*g**4 and give r.
-9
Rearrange 136*j - 12973*j + 3032*j to the form p*j + k and give k.
0
Express 1077*k - 77272 + 77272 as a*k + b and give a.
1077
Rearrange (2*o - 2*o + 6*o)*(104 - 119 + 99)*(-5 + 5 + 7 + (5 - 2 - 1)*(0 + 0 + 1) - 3 + 4 - 2) to b*o + r and give b.
4032
Rearrange 9 - 41 - 27 + 4 - 42 - 21*s to p + t*s and give p.
-97
Rearrange -339*q**3 - 50*q - 93*q + 2*q**2 + 141*q to k*q**2 + t + v*q + f*q**3 and give v.
-2
Express -648*m**2 + 373 + m**3 - 1579 + 648*m**2 - 882 in the form n + l*m + t*m**2 + a*m**3 and give a.
1
Express 35 - 5 - 29 - 2 - 34*o**3 + 3*o**2 as n*o + t + f*o**2 + w*o**3 and give t.
-1
Express -31*z**3 - 154*z**3 - 48 + 49 - 115*z**3 - 5*z**2 in the form j*z**2 + y*z + o*z**3 + f and give f.
1
Express (2 - 4 + 1)*(-c + c - c) + 3 - 2*c - 3 + (-464*c + 226*c - 168*c)*(1 + 4 - 4) - 5*c + 4*c + 3*c in the form q*c + r and give q.
-405
Express 128*o**3 - 29*o**3 - 151*o**2 - 36*o**3 - 35*o**3 - 27*o**3 + o - 5 as g*o**3 + i*o + a*o**2 + p and give p.
-5
Express (1746 + 31*k - 1746)*(8*k - 2*k - 2*k + (1 + 2 - 2)*(-5*k + 3*k + 0*k)) as s*k + o + u*k**2 and give u.
62
Rearrange (-11*s + 3*s + 9*s)*(6 + 3 + 0)*(18 - 52 + 11) + 4*s + 0*s - 2*s to g*s + h and give g.
-205
Rearrange -1890*w**2 - 430*w**2 - 917*w**2 + 42*w**2 - 789*w**2 to l*w + g*w**2 + b and give g.
-3984
Express -82 + 53 - 2*z**2 - 115*z + 20 + 3*z**2 as r + m*z + y*z**2 and give r.
-9
Rearrange (-2*d**3 - 3*d**2 + 5*d**2 - 4 + 1)*(-1118372 + 1118241 + d - 4*d) to h*d**3 + b*d + s*d**4 + l*d**2 + q and give b.
9
Rearrange 3*z - 49*z**4 + 29*z**4 + 2*z**3 - 2*z - 3 + 6*z**4 - z**2 to the form w*z**2 + g*z + s*z**3 + f + b*z**4 and give s.
2
Express (36 - 36 - 5*g)*(-15*g**3 + 52*g**3 + 147*g**3) - 3*g**4 - 3*g**4 + 5*g**4 as m*g**3 + s*g**4 + r*g**2 + t*g + y and give s.
-921
Express (546*c - 902*c + 1504*c)*(-3*c**2 + 4*c**2 + 6*c**2 - c**2)*(-3*c - 3*c + 5*c) as d*c**3 + k*c**4 + a*c + y*c**2 + u and give y.
0
Express 2*d - 10 + 13 + d**2 - 5716*d**3 + 5752*d**3 in the form t*d**2 + v + w*d**3 + i*d and give v.
3
Rearrange (2*b**3 - 3*b**3 - 2*b**3)*(-49*b + 28*b + 207*b)*(2 + 2 - 5) to a + p*b**3 + c*b**4 + d*b**2 + u*b and give p.
0
Rearrange -437*z + 116*z - 2125*z - 583*z + 245*z to r*z + l and give r.
-2784
Rearrange (k + k - 3*k)*(4 + 0 - 3) - 1 + 1 - 3*k + 838 - 4575*k - 921*k - 419 - 419 to n*k + m and give n.
-5500
Rearrange -1518 + 2*i + i**2 + i**3 + 1523 - i**2 - i**2 to the form c*i**3 + d + p*i**2 + u*i and give c.
1
Express (85*g + 224*g + 255*g)*(-1 + 1 - 3 + 2 - 1 + g) in the form i*g**2 + y + c*g and give i.
564
Express -106*t**2 + 26 - 101*t**2 + 205*t**2 - 562*t - 26 in the form n*t + o + y*t**2 and give o.
0
Rearrange (1 + 2 - 1)*(3*p - 6*p + p) - p - p + 3*p - 38523*p - 1 + 45221*p - 1 + 7 to m*p + l and give l.
5
Rearrange w**2 - 162*w**2 - 863*w**2 + 116*w**2 - 1 to the form r*w + q + v*w**2 and give v.
-908
Rearrange (2 - 2 + 5*g)*(-4 + 4 - 2*g)*((0*g + 2*g + 0*g)*(-4 + 5 + 1) - 4*g + 2*g + 3*g - 134 + 480*g + 134) to j*g + l*g**2 + c*g**3 + z and give z.
0
Rearrange 9 + 40*t**3 - 3*t + 26*t**3 - 40*t**3 + 29 + 41 to the form i*t**3 + j*t**2 + x*t + k and give x.
-3
Express -1 + 1 - l + (3141*l + 2658 - 2658)*(3 + 1 + 0) - 2*l - 1 + 1 - 4 - 2*l + 4 as o*l + n and give o.
12559
Express (-33 + 36 - 23 + (-1 + 4 - 5)*(-1 + 3 + 0) - 3 + 3 - 2)*(0*i - 4*i + 7*i) in the form a + h*i and give h.
-78
Express 23 - 103*x**3 - 53*x**3 + 169*x**3 in the form n + l*x**2 + f*x + t*x**3 and give t.
13
Express -871*v + 1775*v + 953 - 905*v as y + x*v and give x.
-1
Rearrange -1574*u + 2711*u + 5621*u to l*u + z and give l.
6758
Express 39*j - 108*j + 33*j + (-3*j - 5*j + 0*j)*(-3 + 0 + 5) + (3*j - 3*j - 2*j)*(-1 - 1 + 0) as q*j + b and give q.
-48
Rearrange -2*v - 7*v - 22 + 12*v + 24 + 3*v - 85*v**2 to the form a*v + t + o*v**2 and give o.
-85
Express 15 + 1 - 59 + 23 + 18 + 9436*m**2 + m in the form h*m**2 + i + d*m and give i.
-2
Express 15*f**2 + 11 - 21*f**2 + 14757*f - 14762*f + 12*f**2 in the form a*f**2 + w*f + g and give a.
6
Express 16 + 30*a - 17 - 14 + 74 + 78 in the form h*a + l and give l.
137
Express -5582*u**2 - 1475*u**2 + 1 - 7836*u**2 - 8*u + 8*u in the form m + w*u**2 + t*u and give w.
-14893
Express -32 - 2*z**2 + 2 - 26 + 12*z - 3 + 11 in the form x*z**2 + m + o*z and give o.
12
Express -51*i**4 - 22*i**4 - 6*i**3 - i + 3*i + 3*i**3 + 1 - i**3 as h*i**2 + z + f*i**3 + k*i**4 + s*i and give h.
0
Rearrange -363*k - 398*k - 24728*k**2 + 761*k to s + m*k + v*k**2 and give v.
-24728
Rearrange 1443*a - 506*a + 72*a - 4 - 433*a to l*a + o and give l.
576
Rearrange (0*h**3 - 5*h**3 + 2*h**3)*(1434 - 1249 + 45*h + 4*h) to r + o*h**4 + y*h + l*h**3 + q*h**2 and give l.
-555
Rearrange (0*y + 7*y - 3*y)*(1 - 1 + y**2) + (-6923 + 91*y**3 + 6923 + 0*y + 0*y)*(8 - 13 - 23) to w*y**3 + z*y**2 + i + r*y and give w.
-2544
Express 17*w**2 + 8 - 6*w**2 - 9*w**2 + 540*w - 1109*w - 23 as a + j*w**2 + n*w and give j.
2
Rearrange (-g + 3*g - 3*g)*(5 + 1 - 4) - 1361*g + 398*g + 672*g to the form w + l*g and give l.
-293
Express -94384*y - 23*y**2 + 28*y**2 + 94432*y - 2 in the form n + m*y + h*y**2 and give n.
-2
Express 306*o + 9*o**2 - 1 + 661*o**2 + o**2 - 2*o**3 - 301*o as j*o + m*o**2 + r*o**3 + t and give m.
671
Express 1543533 - 16157*a - 1543533 in the form d*a + t and give d.
-16157
Rearrange -331*y**2 - 113*y**2 - 119*y**2 - 100*y**2 to r*y + n*y**2 + f and give n.
-663
Express (h**2 + h - h)*((-3 + 6 + 1)*(h - 3*h + h) + 3595*h - 893*h + 455*h) as i*h**2 + x*h + p + j*h**3 and give i.
0
Rearrange -792 - 180 + 82 + 12*j + 285 to the form v + n*j and give n.
12
Rearrange (-269539 + 269539 - 11862*m)*(-3*m**2 - m**2 + 3*m**2) to the form z*m**2 + y + t*m**3 + c*m and give z.
0
Express -140*d - 151*d**3 + 10 + 137*d + d**2 - 28 + 145*d**3 in the form u*d + p*d**3 + b*d**2 + y and give y.
-18
Express 31*j - 8 - 18*j + 38*j + 2 + 26*j as m + f*j and give f.
77
Rearrange -1 + 2021*x + 1889*x - 4480*x to y + u*x and give u.
-570
Express (45 - 12*t - 45)*(-2 + 1 + 2)*(-7102*t + 31322 - 15666 - 15656) as a*t + f + g*t**2 and give g.
85224
Express -29 - 16 + 4 + 41 + 9762*d in the form j + k*d and give j.
0
Express (250 + 24 + 20)*(g + g - 3*g) - 41 + 41 + 6*g in the form s*g + a and give s.
-288
Express -2*d**3 - 2*d - 47 - 23 + 973 - d**2 - 148 as c*d**2 + v*d**3 + j + a*d and give a.
-2
Express (-6*s + 2*s - 2*s)*((1 + 2 - 4)*(3 - 3 + 1) + 1182 + 70 - 9) in the form m*s + j and give m.
-7452
Express -507*r - r**2 + 381*r**3 - 384*r**3 + 414 + 505*r + 3*r**4 in the form f*r**4 + i + h*r**2 + l*r + x*r**3 and give l.
-2
Express 834*y + 2*y**3 - 387*y - 4*y**2 + 13*y**2 - 411*y in the form n*y + t*y**3 + w + a*y**2 and give n.
36
Express 276*v - 278*v - v**4 + 11*v**3 - 3 + 2*v**2 + 0*v**4 in the form t + d*v**4 + b*v**3 + o*v + p*v**2 and give p.
2
Express (2 - 5 + 9)*(2*g + 3*g - 6*g) - 3*g - 15*g + 47*g - 53 + 16*g as h + l*g and give l.
39
Express -22 - f - 73*f + 8*f**2 + 22*f + 3*f**2 + 23 as x*f**2 + w + v*f and give x.
11
Rearrange (1501*j + 1428*j - 199*j)*(0*j + 2*j + 3 - j) to the form s + h*j + g*j**2 and give h.
8190
Express -15*m**3 + 436*m**2 - 629*m**2 + 18*m**3 + 3*m**4 in the form r*m**4 + z + n*m**2 + l*m + p*m**3 and give n.
-193
Express (2 - 2 - 1)*(5 - 5 - q)*(4815*q + 275*q**2 - 267*q**2 - 6045*q) in the form d + h*q**2 + t*q**3 + w*q and give h.
-1230
Express 25 + 27*z**2 - 25 - 25*z**2 - 50*z + 26*z**2 as t*z**2 + h*z + d and give t.
28
Express 359*w**3 - 4*w**4 - 1483*w**2 + 1458*w**2 - 362*w**3 - w + 2 in the form q*w** | {
"pile_set_name": "DM Mathematics"
} |
h) = 6*h + 1. Let w be g(7). Let o = -38 + w. Suppose -n + 9 - o = 0. Put 3, n, 0, -5 in increasing order.
-5, 0, 3, n
Let z(a) = a**3 + 7*a**2 + 8*a - 6. Let g be z(-4). Suppose 5 = -5*n - g. Sort n, -5, 5, 32.
-5, n, 5, 32
Let a = -0.08626 - 0.71374. Let m be 0/(-2) - (-4)/5. Sort m, -0.05, a in ascending order.
a, -0.05, m
Let m be -834 - ((96/(-10))/8)/(3/(-10)). Put m, -4, -3 in decreasing order.
-3, -4, m
Let x = 12800.9 + -12801. Sort x, 279, 2/5 in decreasing order.
279, 2/5, x
Let s = 0.2 - -14.4. Let k = s - 11.6. Sort 4/3, 6, k in ascending order.
4/3, k, 6
Let x = -0.1 + 0.1. Let o = -42.615 - 0.365. Let l = o + 43. Sort -2, 1/5, l, x in ascending order.
-2, x, l, 1/5
Let m(g) = g - 20. Suppose -13 + 3 = 2*y. Let u be m(y). Let b = 25 + u. Put b, -1, 5 in descending order.
5, b, -1
Let d = -5 - -11. Let v be d/12 + 4/(72/(-33)). Let y = 0.2 + -3.2. Put 4/3, v, y in decreasing order.
4/3, v, y
Let f = 0.46 + -0.56. Let a = -0.4 - f. Suppose -2*t = 13 - 15. Sort 0, t, a in descending order.
t, 0, a
Let j = 91 - 60. Suppose -p = 5*m - j + 53, -4*m = -2*p + 12. Put 2, m, -5 in decreasing order.
2, m, -5
Let r = 7.7 + -8.1. Let w be 5 - (-2 - (-1 - 4)). Suppose 3 + w = -5*x. Sort r, x, -0.5.
x, -0.5, r
Let u = 76889/9 + -8543. Put u, -2, 1248 in increasing order.
-2, u, 1248
Let w = 4423 + -4428. Sort 51, 0.3, w, -3, -2.
w, -3, -2, 0.3, 51
Let c(m) = -m**3 + 30*m**2 + 63*m - 6. Let s be c(32). Let f be s/(-10) - -10*10/(-125). Sort 2, f, -7, -5.
-7, -5, 2, f
Let x = -13.7 - 0.3. Let q = 55 + x. Let z = -26 + 21. Sort q, -0.1, z in decreasing order.
q, -0.1, z
Let z = 161 + -152. Suppose -z - 6 = -15*c. Sort c, 3, -6, -4 in ascending order.
-6, -4, c, 3
Let j be (2 + 40/(-5))/(-2). Let o be 14*j*(-2 + (3 - 2)). Let s = o - -85/2. Put s, 0.15, -0.4 in decreasing order.
s, 0.15, -0.4
Let y = 51558/7 + -7365. Let x = -107 + 63. Put x, y, -1/6 in ascending order.
x, -1/6, y
Let a = -559 + 558.8. Let i = -3.03 - -0.03. Let d = i - 2. Sort 4, d, a.
d, a, 4
Suppose -18*s - 66 = -29*s. Suppose 11*u - 34 = -s*u. Put u, -1, -5 in descending order.
u, -1, -5
Suppose 8*a + 349 + 627 = 0. Let z = 120 + a. Suppose -5*d + 6 + 9 = -5*k, 4*k - 2*d = -12. Sort z, 8, k in decreasing order.
8, z, k
Suppose -4*c + 36 + 132 = 0. Let m = -48 + c. Let g be 5*m/(-15) - 1. Sort 2, 19, g in ascending order.
g, 2, 19
Let x = 27 - 27.45. Let o = x + -0.05. Let g = -1 - 6. Sort g, -3, o in decreasing order.
o, -3, g
Let y(j) = 13*j + 430. Let m be y(-32). Let v be -5 - (-4 - 0/7). Put v, m, 5, 3 in ascending order.
v, 3, 5, m
Let f(n) = 5*n + 17. Let k be f(-4). Let a = 53 + -52.56. Let z = a + -2.44. Sort k, 2/3, z in increasing order.
k, z, 2/3
Suppose -172 = 5*o + 268. Let a = 21 + o. Let g = 200/3 + a. Sort 4, 0.2, g, 0.3 in descending order.
4, 0.3, 0.2, g
Suppose 10*t = 3*n + 122, n + 15*t - 29 = 12*t. Let h = 5 + 0. Suppose -b = -0*b. Sort b, n, 2, h.
n, b, 2, h
Suppose 4*u - 6 = 3*s - 0, 4*s + 8 = -u. Suppose 0 = -16*d + 283 + 101. Let c be (-26)/6 + (-16)/d. Sort 1, s, c, 2 in descending order.
2, 1, s, c
Let z(f) = 12*f - 1. Let c be z(-2). Let t be c/(-21) + 8/56. Let y = -10.9 + 11.3. Sort -1/4, y, t in descending order.
t, y, -1/4
Let s = -49/3 - -16. Let n = 1231 + -1230.6. Sort n, 3, s.
s, n, 3
Let w(r) = r**3 + 12*r**2 + 16*r - 48. Let p be w(-10). Sort 22, -2, -3, p in descending order.
22, -2, -3, p
Let s = 241586 + -241585.6. Let a = -0.07 + -3.93. Put a, 2, -19, s in descending order.
2, s, a, -19
Suppose -531*n - 115 - 49 = -490*n. Put -8, -5, -2, n, -3 in descending order.
-2, -3, n, -5, -8
Suppose 0 = -4*l + 5*x + 16, 5*l - 19*x - 61 = -23*x. Suppose l*c + 37 = 19. Sort c, 4, -1, -18 in descending order.
4, -1, c, -18
Let l = -7104 - -7107. Put -1/2, l, 0.5, 0.3, -6/131 in ascending order.
-1/2, -6/131, 0.3, 0.5, l
Let s(j) = -2*j**3 + 15*j**2 - 20*j + 4. Let c be s(6). Sort -4, 1, c, 7 in decreasing order.
7, 1, -4, c
Let o be -6 - (-6)/4*110/33. Sort o, 2, -3, 39, 0.
-3, o, 0, 2, 39
Suppose 20*q = -5*n + 17*q + 1597, n - 3*q = 323. Put -4, 3, n, 5 in decreasing order.
n, 5, 3, -4
Suppose -106*h - 80*h - 320 = -26*h. Sort h, -10, 4/5, -1/3, 5/2 in descending order.
5/2, 4/5, -1/3, h, -10
Suppose 4*k = f + 13, -f - 4*k - 1 = 4. Suppose -10*u - 5*s = -14*u + 16, 2*u + 5*s - 8 = 0. Let o = 0 + 2. Sort u, o, f in ascending order.
f, o, u
Let m = 26.962 - 28. Let d = m - -1.1. Let l = 2.062 - d. Put l, 0.2, -5 in decreasing order.
l, 0.2, -5
Suppose -3*h = -3*z - 9, -5*h + 30 = 8*z - 10*z. Suppose 0*c = c + 5. Put 11, c, h in descending order.
11, h, c
Let a(y) = y**3 + 16*y**2 - 55*y + 38. Let x be a(-19). Sort -4, -53, -17, x.
-53, -17, -4, x
Suppose 0 = 3831*z - 3833*z - 118. Let y be 45/(-20) - (-2)/8. Sort z, -1, y, 5 in increasing order.
z, y, -1, 5
Let w(t) = -82*t**2 + 6*t - 5. Let u be w(1). Let n = -411/5 - u. Sort -1, 0.3, 3, n in descending order.
3, 0.3, -1, n
Let u = -0.06091 + 1.06091. Sort 0, 1/6, u, 1/14, -1 in decreasing order.
u, 1/6, 1/14, 0, -1
Let c = 107/217 + -2/31. Let l = 15 - 11. Let i = l + -2. Sort c, 0, i.
0, c, i
Suppose -5*c + 6 = 1. Let n be (4/(-6))/((-1)/(-6)). Let x = 3 + 0. Sort n, c, x.
n, c, x
Let r = 1782 + -1782.011. Sort 0.5, 1, r, -0.2, 2.
-0.2, r, 0.5, 1, 2
Suppose 5*u - 2*c - 45 = 3*c, -2*u + 33 = -5*c. Suppose u*w + 19 = 27. Let p be (4 + -3)/(-4 - (-15)/2). Sort p, w, -1, 0 in ascending order.
-1, 0, p, w
Let i(u) = -2*u**3 - 20*u**2 + 48*u + 2. Let o be i(-12). Sort -4, o, -165 in descending order.
o, -4, -165
Let v = 1133 - 1114. Sort 2, -5, v in descending order.
v, 2, -5
Let r = 2.25 + -2.25. Sort 2/9, 3/16, -2, r, 2/3.
-2, r, 3/16, 2/9, 2/3
Let b be 2/28*6 - 6/35*20. Sort 1, -6, -1, b, 2.
-6, b, -1, 1, 2
Let y = 3442 + -3535. Sort 4, y, -5/2, 3.
y, -5/2, 3, 4
Suppose 5*l + 858*w = 857*w - 2, 10 = 3*l - w. Sort l, 0, -3, 21, -4 in descending order.
21, l, 0, -3, -4
Let f be (2 + 1)*3 - 1. Let x = 722 - 725. Let y be (-1 - x/(-3))/((-22)/(-55)). Sort y, -4, -2, f in descending order.
f, -2, -4, y
Let y be (-8)/(6/(-4) + 1). Suppose -u = 3*u - y. Let j = -5.4 + 1.4. Put j, u, -11 in decreasing order.
u, j, -11
Let w be ((-1)/4)/(52/520)*2. Sort 4, -2, -4, 21, w in ascending order.
w, -4, -2, 4, 21
Let t = -7073 - -7106. Let f be 0 + -1 - (0 + 0). Sort f, 0, 1, t in decreasing order.
t, 1, 0, f
Let q = 313.8 + 18.2. Let d = 335 - q. Sort 12, d, -5, 0.4.
-5, 0.4, d, 12
Let i = 14323 + -14298. Put 1, i, -79, 5 in descending order.
i, 5, 1, -79
Let u = 338/25 + -336/25. Let m = -17 - -8. Let w be 0 + m/(-11) + -1. Sort w, u, 0.1 in increasing order.
w, u, 0.1
Suppose -3*m - 55 = -2*t, 3*t = 4*m + 5*t + 50. Let j = 136 + -134. Suppose 0 = -j*y + 3*h - 9, 5*h = 4*y + h + 8. Sort y, m, -1, -2.
m, -2, -1, y
Let q(l) be the second derivative of -5*l**4/12 - 4*l**3/3 - l**2/2 - 11*l - 1. Let t be q(-2). Put 0, t, -2, 3 in decreasing order.
3, 0, -2, t
Let q = -1 - -2. Let b = 10.61341 + 1.38659. Sort -0.02, b, q.
-0.02, q, b
Let m be (-6)/(-27) + (-3)/((-3672)/(-452)). Let h = m + -23/306. Put 152, h, -1 in decreasing order.
152, h, -1
Suppose 0 = -9*r + 4*r + 15. Let f be -2 - (-10 + 1) - r. Suppose f*b - 5*b = 9. Sort -2/3, 3/5, b.
b, -2/3, 3/5
Let q(l) = 3*l**2 + 125*l + 1218. Let x be q(-26). Let d(m) = m**3 + 11*m**2 - m - 7. Let h be d(-11). Sort h, 2, -3, x in descending order.
h, 2, -3, x
Let f = -17/301 - 16/43. Put -2/15, f, -0.06, -23 in decreasing order.
-0.06, -2/15, f, -23
Suppose 4*i = -5*z - 51, 44*z = 7*i + 40*z. Sort i, -9, 3, -81 in ascending order.
-81, -9, i, 3
Suppose -h - 1 - 10 = 0. Let v(n) = -n**2 + 48*n + 449. Let q be v(56). Put h, -1, q in decreasing order.
q, -1, h
Let i = 342 - 339. Let h = 154 + -122. Sort i, -0.5, h, 5.
-0.5, i, 5, h
Let q = -6.6734 - -4.6734. Sort -0.06, 0.9, -14, -4, q in descending order.
0.9, -0.06, q, -4, -14
Let f be ((-1)/228)/((-4)/(-8)). Let n = 15891 - 15891.5. Sort f, 4, n, -1/5.
n, -1/5, f, 4
Suppose 3 + 1 = 4*t. Let u = -3 - t. Let c be ((-4)/u + -1)*-1. Sort -1, 4, c.
-1, c, 4
Let w = 53.7511 - -0.0489. Let j = -53.6 + w. Let i be (-2 - (-62)/28)*-2. Sort i, 3/7, j, 5.
i, j, 3/7, 5
Let g = 11 + -6. Let q = 0.48248 + -0.88248. Put g, q, -0.1, -1.5 in ascending order.
-1.5, q, -0.1, g
Let q be (46/10)/((-8)/(17 - 9)). Sort 1, -0.1, q, -3.
q, -3 | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from zdb. What is prob of sequence zd?
1/6
Two letters picked without replacement from ttoo. Give prob of sequence oo.
1/6
Three letters picked without replacement from {k: 1, w: 1, g: 1, r: 2}. Give prob of sequence grr.
1/30
Calculate prob of sequence yw when two letters picked without replacement from {w: 3, y: 6, l: 6}.
3/35
Calculate prob of sequence glig when four letters picked without replacement from {a: 2, g: 2, y: 1, l: 2, b: 1, i: 1}.
1/756
What is prob of sequence ar when two letters picked without replacement from jaakjskaaaaarjrab?
1/17
Calculate prob of sequence nnk when three letters picked without replacement from dnnnkeknnkdknnnkke.
7/102
Two letters picked without replacement from {v: 3, o: 2}. Give prob of sequence oo.
1/10
Calculate prob of sequence qhhy when four letters picked without replacement from bsshsbsyhssxsq.
1/12012
Calculate prob of sequence wwwh when four letters picked without replacement from whhwhhhhhhwh.
1/220
Two letters picked without replacement from {o: 2, c: 1, x: 4, d: 3}. What is prob of sequence dd?
1/15
What is prob of sequence jzz when three letters picked without replacement from {j: 1, o: 1, z: 2}?
1/12
What is prob of sequence dp when two letters picked without replacement from lvblbvvdpbqb?
1/132
What is prob of sequence nqn when three letters picked without replacement from {v: 7, q: 2, n: 5}?
5/273
Two letters picked without replacement from ocwfoowckwc. What is prob of sequence kf?
1/110
Calculate prob of sequence pa when two letters picked without replacement from {s: 1, p: 1, a: 1, q: 1, t: 1}.
1/20
Two letters picked without replacement from wewewwpwwpppopwe. What is prob of sequence op?
1/48
Two letters picked without replacement from eegtghogog. What is prob of sequence ge?
4/45
Three letters picked without replacement from {u: 1, c: 2, f: 1, v: 1}. Give prob of sequence ccu.
1/30
Two letters picked without replacement from {p: 1, i: 1, o: 2, w: 8, l: 2, d: 3}. Give prob of sequence dp.
3/272
Two letters picked without replacement from {u: 2, e: 1, v: 7}. What is prob of sequence ue?
1/45
What is prob of sequence ge when two letters picked without replacement from {e: 4, f: 2, g: 3, b: 2, k: 2, v: 3}?
1/20
Calculate prob of sequence nss when three letters picked without replacement from {s: 2, y: 4, n: 6}.
1/110
What is prob of sequence kvdd when four letters picked without replacement from {l: 2, i: 3, r: 3, v: 1, d: 3, k: 3}?
1/1820
Four letters picked without replacement from {o: 1, j: 2, y: 1, p: 1, b: 2, u: 2}. What is prob of sequence bbyo?
1/1512
What is prob of sequence aaa when three letters picked without replacement from {v: 11, w: 1, a: 7}?
35/969
Two letters picked without replacement from {o: 1, d: 4, w: 2, l: 2}. Give prob of sequence wo.
1/36
What is prob of sequence wbb when three letters picked without replacement from {w: 3, b: 3}?
3/20
What is prob of sequence no when two letters picked without replacement from {n: 1, o: 1, a: 4, u: 9}?
1/210
Three letters picked without replacement from pfypddyqqyyqsdy. What is prob of sequence fqd?
3/910
Two letters picked without replacement from {d: 1, l: 3, m: 2, p: 4, z: 6}. What is prob of sequence mm?
1/120
Four letters picked without replacement from {j: 7, s: 9}. What is prob of sequence sjss?
21/260
Calculate prob of sequence qii when three letters picked without replacement from iiq.
1/3
Three letters picked without replacement from ddjjmdmd. Give prob of sequence jjm.
1/84
What is prob of sequence wz when two letters picked without replacement from ocwfcbz?
1/42
Four letters picked without replacement from rrrurrrjuujrrrjrrj. What is prob of sequence rrjr?
11/204
Calculate prob of sequence ibbb when four letters picked without replacement from iiibbibiiebci.
7/715
Three letters picked without replacement from {s: 5, v: 3, k: 3, u: 6}. Give prob of sequence kuk.
3/340
Calculate prob of sequence snnb when four letters picked without replacement from {b: 2, s: 2, n: 4}.
1/35
What is prob of sequence ehhr when four letters picked without replacement from {h: 4, e: 2, c: 1, r: 1, a: 1}?
1/126
What is prob of sequence phh when three letters picked without replacement from {h: 7, p: 2}?
1/6
Two letters picked without replacement from {z: 4, m: 2, h: 2, y: 2, j: 3}. What is prob of sequence yy?
1/78
Three letters picked without replacement from {d: 18, c: 2}. What is prob of sequence ddd?
68/95
Calculate prob of sequence bu when two letters picked without replacement from ttzuuutbyuuuybyz.
1/20
Two letters picked without replacement from {m: 3, r: 8, e: 5}. Give prob of sequence me.
1/16
What is prob of sequence aaaa when four letters picked without replacement from {x: 1, n: 4, e: 1, a: 4}?
1/210
Four letters picked without replacement from oqqoqlwqw. What is prob of sequence qloq?
1/126
Calculate prob of sequence uruy when four letters picked without replacement from uruuyrruyyyy.
1/66
Two letters picked without replacement from {e: 2, w: 1, i: 1, l: 2}. Give prob of sequence iw.
1/30
What is prob of sequence dg when two letters picked without replacement from {d: 3, j: 2, m: 4, g: 1}?
1/30
What is prob of sequence ddl when three letters picked without replacement from dld?
1/3
Two letters picked without replacement from {v: 5, e: 3}. What is prob of sequence ee?
3/28
What is prob of sequence xxi when three letters picked without replacement from iixi?
0
Three letters picked without replacement from {a: 9, p: 8, j: 2}. Give prob of sequence ajj.
1/323
What is prob of sequence uj when two letters picked without replacement from zjzjzzzyzjyuzj?
2/91
Calculate prob of sequence rr when two letters picked without replacement from {l: 4, r: 2, d: 6}.
1/66
What is prob of sequence rr when two letters picked without replacement from {y: 3, r: 7}?
7/15
Four letters picked without replacement from ddpp. What is prob of sequence dpdp?
1/6
Calculate prob of sequence sp when two letters picked without replacement from {o: 2, g: 1, s: 5, p: 4, i: 3, c: 5}.
1/19
Three letters picked without replacement from zyzzyyyyyyyzzy. What is prob of sequence yyy?
3/13
What is prob of sequence fjso when four letters picked without replacement from zzzzojjzfsjzz?
1/5720
Three letters picked without replacement from {d: 12, w: 6}. What is prob of sequence dwd?
11/68
Two letters picked without replacement from ppmmpmppkpmikp. What is prob of sequence ip?
1/26
Three letters picked without replacement from {e: 1, z: 2, a: 2, d: 7}. What is prob of sequence zaz?
1/330
Two letters picked without replacement from fttjjttjtffaftj. Give prob of sequence aj.
2/105
Four letters picked without replacement from afyyyafyb. Give prob of sequence ybyf.
1/126
Four letters picked without replacement from {f: 6, c: 2}. Give prob of sequence cfff.
1/7
Two letters picked without replacement from jffwfjf. What is prob of sequence ff?
2/7
What is prob of sequence xwx when three letters picked without replacement from wjxxwxqxxclqwjqqcx?
5/272
What is prob of sequence yy when two letters picked without replacement from ywywyyywwwyoywywyww?
4/19
Two letters picked without replacement from sfqmfspdd. What is prob of sequence pq?
1/72
Calculate prob of sequence mwxi when four letters picked without replacement from {m: 1, w: 2, z: 1, i: 2, x: 3, h: 3}.
1/990
Calculate prob of sequence wt when two letters picked without replacement from wwvpvwvpvltpw.
1/39
Four letters picked without replacement from sszsssxzxxssszlxsx. Give prob of sequence slzs.
1/340
Four letters picked without replacement from {j: 1, z: 2, t: 1, v: 13, n: 3}. Give prob of sequence nztj.
1/19380
Calculate prob of sequence la when two letters picked without replacement from {a: 3, l: 2}.
3/10
Four letters picked without replacement from {y: 2, z: 5}. What is prob of sequence yyzz?
1/21
Four letters picked without replacement from {b: 3, k: 7, s: 3, g: 4, p: 2}. What is prob of sequence spbp?
1/5168
Two letters picked without replacement from oleedesdkdle. Give prob of sequence oe.
1/33
Four letters picked without replacement from {o: 1, s: 3, c: 3, x: 2, n: 3, z: 2}. Give prob of sequence nncc.
3/2002
Calculate prob of sequence gh when two letters picked without replacement from {h: 3, v: 2 | {
"pile_set_name": "DM Mathematics"
} |
j (b) x (c) 4
a
Let i = -0.39 + -0.01. Let n be (-1)/(-4) + 804/304 + -3. Which is the nearest to 1? (a) i (b) 1/7 (c) n
b
Suppose 2*o = 3*w - 7, -4*w + 3 = w + o. Let d = -88 - -93. Suppose d*f + 25 = 0, -4*g - f = -3*g. Which is the closest to w? (a) g (b) 0.1 (c) -2
b
Let n = 2388/7 - 341. What is the nearest to -0.2 in 1/5, -6, n?
n
Let q = -174.9 - -175. What is the nearest to -3/10 in -3/5, -3, q?
-3/5
Let i = 1 + -1.2. Let m = -60 - -67. Let g be (-11)/m*-3 + (-6)/(-21). What is the nearest to i in g, -1/7, -5?
-1/7
Let k = -2.664 - -1.664. Let f = 0.4 + -0.3. Let g = -0.9 - f. What is the nearest to g in -0.5, k, -2?
k
Let d = -189.7 + 189.5. Which is the nearest to d? (a) -4 (b) -11 (c) -4/7
c
Let a be 1120/210 - (8/3)/(-4). What is the nearest to -0.2 in -6/7, 2/3, a?
-6/7
Let m be (-1070)/(-440) + 6/8 - 3. Which is the closest to -2/7? (a) 3/5 (b) 0.5 (c) 0.1 (d) m
c
Let f be 3/9 + (-2)/(-12). Let y = -505/6 + 84. Let a = f + y. What is the nearest to 1 in 0.3, a, -2?
a
Let g be (-1 - 18/(-21))/1. Let l = -263.3 + 263. What is the nearest to g in -2, 5, l?
l
Let v be (-2)/4 - 65/6. Let j = v - -11. Let p = -1124 + 1123.6. Which is the nearest to 5/4? (a) p (b) j (c) 0
c
Let y = 63 - 312/5. Let i = -38.92 - -34.92. Let o = -3 - -1. Which is the nearest to y? (a) 2/11 (b) i (c) o
a
Let l = -0.8 + -0.2. Let m = 974/7 + -139. Which is the closest to l? (a) -2/7 (b) -0.5 (c) m
b
Let v = 4.8 - -2.2. Let r = 0.3 - -7.7. Let u = r - v. What is the closest to u in 0, 1, -1/3?
1
Let u = -1566 + 1562. What is the closest to -5 in u, -3/56, 0.2?
u
Let z = -7 + 7. Let x be (56/16*3/21)/(-1). Which is the nearest to z? (a) -0.09 (b) x (c) -2/7
a
Let g = -126.942 + 127. Let s = 5.058 - g. What is the closest to 3/2 in 0.7, s, 0.2?
0.7
Let m = 81.09 + -81. Let b = -0.01 - m. What is the nearest to 0.3 in -0.4, 2/3, b?
2/3
Let x = 0 + -0.2. Let j = -0.1 - x. Let i = 1410 - 12692/9. Which is the nearest to 1? (a) 2 (b) i (c) j
c
Let o = -4.4 - -5.4. Which is the closest to o? (a) -1 (b) -6/7 (c) 0.3
c
Let z be (2 - 0) + (9 - 13). Let h be z/5 + 2/(-20). Let u be 7/(-6) - 10/(-15). What is the closest to u in -0.3, h, 0.3?
h
Let z = -66 - -62. Which is the nearest to 3? (a) z (b) 1/6 (c) 0.1 (d) 1/2
d
Let m = -829/2635 + 24/85. Which is the closest to -2/5? (a) 5 (b) -1 (c) m
c
Let x = -780.6 - -833.21. Let y = 53 - x. Let p = y - -0.01. Which is the nearest to 0.1? (a) p (b) 5 (c) -1/10
c
Let j = 2 + -1.7. Let y = -1 + 4. Let q be (6/9)/(-16*(-3)/54). What is the closest to q in y, 0.1, j?
j
Let q = -297 + 292. Which is the closest to 0.3? (a) q (b) 0 (c) -10/9
b
Let w = -3/14 - 9/7. Let j = -27.82 - -9.868. Let s = j - 0.048. Which is the nearest to -2/5? (a) w (b) -1 (c) s
b
Let j = 91/123 + -3/41. Let x(w) = -w**2 - 39*w + 1026. Let k be x(-57). Let a = 0.3 - 0.4. What is the nearest to k in a, j, -2/27?
-2/27
Let t = -262 - -262.1. Which is the nearest to -5? (a) t (b) -5 (c) 0.3
b
Let l = 112.8 + -117.8. Let q be (5/4)/(-5) + 0. Which is the nearest to 6? (a) l (b) -0.4 (c) q
c
Suppose -y + 43 = 47. Which is the closest to 29? (a) 0.2 (b) 1/8 (c) -5 (d) y
a
Suppose -5*y + 2*y + 14 = b, y = -5*b. Suppose 8*p = 7*p + 3*d + 12, -5*p = -2*d - 8. What is the nearest to p in 2/15, -4, b?
2/15
Let b = 45.6 - 45.5. What is the nearest to 6 in 0.2, b, 0.5?
0.5
Let y = -3.1 - -0.1. Suppose -2*s + 7 = 4*t - 25, -5*s + 8 = t. Let z be -1 - 27/(-204) - (-6)/t. Which is the closest to y? (a) -1 (b) -0.2 (c) z
a
Let j be 2/(-5) + 16/20. Let p(h) = -h + 10. Let z be p(7). Let v be (6/(-9))/(1/z). Which is the nearest to j? (a) 2/7 (b) v (c) -2/13
a
Let y = -144 - -142. What is the closest to 0 in -5, -3, y?
y
Let m = -243 + 243. Let h be -1 + -2*(-2)/12. Which is the closest to 0? (a) m (b) 2 (c) h
a
Let j = 1153 - 1152.6. What is the closest to 1/4 in -3, -0.2, 19, j?
j
Let a = -1974 + 1975. What is the nearest to -3 in 0.5, a, -3/5, 6?
-3/5
Let n = 359 + -611. Let u be (-1)/(-4) + 119/n. Which is the nearest to u? (a) -0.5 (b) -5 (c) -4
a
Let s(h) = -1. Let r(z) = z - 23. Let y(q) = r(q) - 4*s(q). Let p be (-1*6 + 1)*-3. Let a be y(p). What is the closest to 0.3 in -0.3, -3/7, a?
-0.3
Let w = -282.944 + 279. Let t = -0.056 + w. Let x = -0.1 + 0.1. Which is the nearest to 1/16? (a) 1 (b) x (c) t
b
Let v = 0.5 + -0.5. Let k = 419 + -329. What is the closest to -1 in k, v, 1/3?
v
Let r be (-12)/(-14) - -1 - 2. Let z be (3 - 0)*156/(-36). Let l be 1/(-2)*0/z. Which is the closest to l? (a) -2 (b) r (c) -1
b
Let l(j) = 2*j**2 - 26*j - 20. Let s be l(14). Let i be (-1)/(4/(-24)*-3*s). What is the closest to i in -0.5, -3/2, 0.5?
-0.5
Let k = -90.4 + -6.6. Let z = 98.06 + k. Let d = z + -0.06. Which is the nearest to -1? (a) 1/3 (b) -3/2 (c) d
b
Let c be 4*(-1 - 18/(-8)). Suppose -2*a - 3*f = -a - 12, 3*a + 20 = c*f. Let n be (-2 - a)*(-4)/(-16). What is the nearest to -2 in n, 0.2, 0?
n
Let v = -4.65 - 0.35. Let y = 11/20 + -3/4. Let r = -27/4 - -33/4. Which is the nearest to 1? (a) y (b) v (c) r
c
Suppose 864 = -6*i - 3*i. Let n be 8/(-21) - (i/42)/(-8). Which is the nearest to n? (a) -2/7 (b) 0.1 (c) 4/7
a
Suppose 93*x - 64*x = -87. What is the closest to 0.06 in 0.09, -1/8, x?
0.09
Let l be 7 + (-10 - -12)*-2. Let h be (4/14)/(9/21). Which is the nearest to h? (a) 5 (b) -0.2 (c) l
b
Let y = -1591 + 1588. Which is the closest to 1/4? (a) y (b) -0.82 (c) -1/4
c
Let r = -0.1 + -0.2. Let n = r + -0.7. Which is the nearest to 0? (a) -2/9 (b) n (c) -0.2
c
Let q(o) = 3*o**3 + o - 1. Let d be q(1). Suppose 0*z - d = z. Let p = 68 - 68.1. Which is the closest to -1? (a) z (b) p (c) 0.4
b
Let l = -149.4 - -149.9. Which is the nearest to 2? (a) 0.4 (b) -0.1 (c) l
c
Let l be ((-4)/10)/(11/(-121)). Let q = -188/45 + l. Which is the closest to 0? (a) q (b) 0 (c) 5
b
Let r = 1740 - 1742. Which is the closest to -1? (a) 0.1 (b) r (c) -0.4
c
Let x be ((-2)/(-30))/(2/4). Let h = 0.727 + -0.767. Which is the closest to -0.1? (a) x (b) 4 (c) h
c
Let i be (-8)/44 - 42/11. Which is the nearest to 1? (a) 1 (b) 0.07 (c) i
a
Let z be 3/10*(-4)/3. Let f = -5.04 - 0.26. Let n = f + 5. What is the nearest to -0.1 in n, 0.5, z?
n
Let y = 274.01 + -274. Let z = 7.7 + -8. Which is the closest to -1? (a) z (b) -0.5 (c) y
b
Let m = 1339 + -1358. Which is the closest to -1/2? (a) -1 (b) 1 (c) m
a
Let x(o) = -o**2 - 6*o. Let p be x(-3). Suppose 0 = t, -t = 3*g - 2*t - p. Suppose -j = 4*j + 10. Which is the closest to 0? (a) j (b) g (c) 5
a
Let g = -21.261 - -21.1. Let f = -0.039 + g. What is the nearest to -2/3 in -3, f, -14?
f
Let c be -10 - ((-35 - -4) + 9). Let j be ((-8)/(-18))/(28/(-6)). What is the nearest to c in -0.2, j, 2/5?
2/5
Let v = -4.0423 + 0.0423. What is the closest to 5 in -2/13, -5, v?
-2/13
Let g = -1403.5 - -1404. Which is the nearest to 0? (a) 4/43 (b) 1/10 (c) g
a
Suppose 0 = -2*x + 8 + 2. Let g(f) = 3*f - x*f + 0*f**2 + 5*f**2 + 3*f. Let n be g(-1). What is the closest to -1 in n, -1, -3/2?
-1
Suppose d + 686*h = 691*h - 12, -d = -h + 4. Which is the nearest to -2? (a) -0.5 (b) 0.1 (c) d
c
Let h be ((-288)/20)/(-6) + -2. Let b = h + -11/15. What is the nearest to b in 0, -3, 0.2?
0
Suppose -36 = 3*u - 4*t, -t = -4*t. Let z = u + 12. Let a = 1 - 6. What is the nearest to 1/4 in a, z, -3?
z
Let f = 14.6 + -7.7. Let v = -2.9 + f. Which is the nearest to -0.1? (a) 0 (b) v (c) 2
a
Let v = -635.8 - -636. What is the closest to 1 in -0.3, -3, 2, v?
v
Let h = -3459/2 + 1728. Which is the closest to 1/4? (a) -5 (b) -5/6 (c) -0.1 (d) h
c
Suppose 4*u + 7 - 3 = 0. Let j be (0/(-3) - u) + 4. Suppose 12 = -j*m + 2. Which is the closest to 0.1? (a) -1/2 (b) 0.5 (c) m
b
Suppose -5*p - 4 + 19 = -5*l, -3*p = -l - 7. Let r = -0.168 - -1.168. What is the nearest to -2/7 in l, -2/13, r?
-2/13
Let k = -75/76 + 14/19. Which is the nearest to 0? (a) -51 (b) 0.2 (c) k
b
Let y = 5/69 - -59/138. Let z be -1*1/(-2)*2. Let m be ((-7)/(-14))/(6/(-4) - 1). Which is the closest to m? (a) z (b) y (c) 2/5
c
Let r = 1/610 + -1227/4270. What is the nearest to r in -0.5, -9, 2?
-0.5
Let q = -1.22 - -3.22. Which is the nearest to -6/7? (a) -0.3 (b) -1 (c) q
b
| {
"pile_set_name": "DM Mathematics"
} |
904 + 2106 = -430*j. Calculate b(j).
37
Let a = 26675 - 26680. Let x(l) = -2*l**3 - 9*l**2 + 4*l + 7. What is x(a)?
12
Let c = -11030 - -11038. Let y(n) = 14*n - 114. What is y(c)?
-2
Suppose -2*g - c = -20, 4*g = g + 2*c + 44. Let x be (-5 - g/(-6)) + (8 - 3). Let l(q) = -2*q**2 + 4*q - 4. What is l(x)?
-4
Let i(n) = n**3 - n**2 - n - 8. Let s(m) = 156*m - 1204. Let f be s(8). Let h = 58 + -102. Let k = f + h. Calculate i(k).
-8
Let r(a) = 2*a**2 - 40*a**2 - 3 + 40*a**2 - 4*a - 8*a**2. Determine r(-1).
-5
Let b(m) = 9 + 4*m - 2 - 2*m. Suppose 2*f + 4 = -3*x, 13*f + 6 = 9*f - 5*x. Let h be (4/12)/(f/(-18)). Determine b(h).
-5
Let t(q) = 38*q + 491. Let l be (130/15)/(6/18*-2). What is t(l)?
-3
Let i = -2188 + 2184. Let j(m) = -m**3 - 4*m**2 + 7*m + 22. Determine j(i).
-6
Suppose 3*b = i - 19, 2*i + b + 13 = 4*i. Let n(g) be the third derivative of -g**6/120 + g**5/20 + g**4/24 - 110271*g**2. What is n(i)?
-12
Let l(n) = -n - 1. Let o be 1 - 13/(-3) - 610/(-915). Let s(i) = 14*i - 11 + 0 + i**2 - 3*i**2. Let q be s(o). What is l(q)?
-2
Let u(g) = -12*g**2 + 22 - 2*g - g**3 + 3*g**2 - 10*g**2 + 2*g**2 - 15*g. Calculate u(-16).
38
Let l(s) = 4*s**3 - s**2 - s + 2. Suppose 0 = 92*i - 64*i - 1008. Let q(p) = -p**2 + 36*p + 1. Let k be q(i). Determine l(k).
4
Let x = -14782 - -14810. Let a(z) = 7*z - 191. Calculate a(x).
5
Let u(c) be the second derivative of c**5/10 - c**4/12 + c**3/2 + c**2/2 + 3372*c. Determine u(3).
55
Let q(p) = p + 1. Suppose -15 = 5*k, -5*b - 37 = k - 104. Suppose -b = -4*w + 2*w. Give q(w).
8
Let d(x) = -4*x + 17*x + 24 + 14*x - 12*x + x**3 + 8*x**2. Calculate d(-6).
6
Let h(s) be the second derivative of -5/6*s**3 + 0 - 3/2*s**2 - 1/6*s**4 + 3*s. Suppose 0*f = -5*f - 4*w - 43, w = 2*f - 1. What is h(f)?
-6
Let z(a) = -5*a - 2 - 7*a - 21*a + 25*a**3 + 65*a - 20*a. Let g(d) = 4*d**3 + d**2 + d - 1. Let q(t) = -6*g(t) + z(t). Calculate q(5).
9
Let o(n) = -7*n**2 + 3*n - 15. Let a(c) = 61*c**2 - 26*c + 128. Let j(x) = 4*a(x) + 35*o(x). Let p be 2 + -2 + 0/(-3). Calculate j(p).
-13
Let q(p) = 8*p + 39. Let n be ((-45)/(-12) + -3)*(-168)/(-63)*-3. Calculate q(n).
-9
Let f(i) = i**3 - 7*i**2 + 2*i - 1. Let p(h) = 7 + 68*h**2 + 14*h - 142*h**2 + 73*h**2. Let o be p(14). Give f(o).
13
Let r be 16/(-9) + (10/45 - 0)/(-1). Let x(p) = -6*p**2 + 5*p + 14. Calculate x(r).
-20
Let c(i) = i**3 - 17*i**2 + 2. Let n(q) be the second derivative of -q**5/20 - 7*q**4/12 - 4*q**3/3 + 5*q**2/2 - 10*q. Let b be n(-6). Give c(b).
2
Let q(u) be the first derivative of 0*u - 1/2*u**2 - 295. What is q(-2)?
2
Let s = -11 + 12. Let x(c) = 4138*c - 2068*c - 3 - 2069*c. Calculate x(s).
-2
Let m(y) = 2*y - 16. Let h be 5/15*1/(3/531). Suppose 0 = 15*n - h - 31. What is m(n)?
-4
Suppose -4*p + g = -10, g = -2*p - p + 11. Suppose -4*l - 2*i + 3 = 1, l - 23 = 4*i. Let a(b) = 4 + 0*b**2 + 0*b**l - b**3 + b**2 + b**2. What is a(p)?
-5
Suppose -228*h - 22 = -206*h. Let o(d) = -7*d + 12. What is o(h)?
19
Let d(p) = -p**3 - 17*p**2 + 34*p - 25. Let j be d(-19). Let k(m) = -j*m**2 - m - m**3 - 6 + 51*m**2. Give k(0).
-6
Let i(k) be the first derivative of -2*k**3/3 + k**2 - 33*k - 7523. Calculate i(5).
-73
Suppose 0 = 3*i - 4*g - 21, g - 9 = -331*i + 327*i. Let z(h) be the second derivative of -h**4/6 + h**3/2 + h**2 - h. What is z(i)?
-7
Let y(m) = -3*m - 5. Suppose 25694 = -4*g + 33*g. Let a = g + -880. Give y(a).
-23
Let j(r) = r**3 + 52*r**2 - 161*r + 223. Let i(n) = -7*n**2 - 129*n - 627. Let d be i(-11). Determine j(d).
3
Let i = -1915 - -2905. Let p be 2/(-11) - i/(-121). Let q(l) = l**3 - 9*l**2 + 9*l - 7. Calculate q(p).
1
Let a(c) = c**3 - 6*c**2 - c - 1. Let n be (0/(-6))/(0 + 1). Suppose 3 + n = b, -b - 312 = -3*v. Let m = 111 - v. Determine a(m).
-7
Let h(a) = 35*a - 245. Let l be h(-6). Let z = 456 + l. Let o(q) = -24*q**2 - q + 1. What is o(z)?
-24
Let r(h) be the third derivative of h**6/40 - h**4/24 - h**3/6 - 2443*h**2. Suppose -3*z = -6*z + 6, 4*z - 8 = 2*t. Suppose -c + t*c = 1. Calculate r(c).
-3
Let n = -86 - -77. Let c(q) = -4*q - 10. Let i(h) = -3*h - 8. Let s(p) = -2*c(p) + 3*i(p). Give s(n).
5
Let v(b) = 9*b**2 - 14*b - 14. Let k be v(7). Let j(d) = -326 + 4*d + 0*d + k. What is j(-2)?
-5
Let y(a) be the second derivative of -a**4/6 + 2*a**3/3 - a**2 + a. Suppose 931*g + 43 = 5629. Determine y(g).
-50
Let g = 1001 - 999. Let j(f) be the second derivative of 4*f**3/3 - 2*f**2 - 2*f. Let q(u) = -7*u + 3. Let x(i) = 4*j(i) + 5*q(i). What is x(g)?
-7
Suppose 3*p = 0, -4*x - 2*p = -4*p - 20. Let u(r) = 4*r**2 - 11*r - 81. Let a(f) = 13*f**2 - 33*f - 272. Let o(g) = 3*a(g) - 10*u(g). Determine o(x).
24
Suppose 2*y - 268 = -44. Let j(i) = 23 - y*i - 110*i + 220*i. Let a(z) = -z + 12. Let q(k) = 7*a(k) - 4*j(k). Give q(13).
5
Let d be (-6)/(-4)*(-16)/(-24). Let z(j) be the third derivative of j**5/15 + j**3/6 + j**2 + 25. What is z(d)?
5
Let q(m) = 210*m - 102*m + 58 - 98*m. Determine q(-6).
-2
Let f(l) = -l**3 + 2*l**2 - 3*l + 4. Suppose -6*r - 58 = -4*r. Suppose s - 12 = 4*k - 0*k, 0 = 3*s + 3*k - 111. Let j = r + s. Determine f(j).
-14
Let y(m) = 50*m + 459. Let h be y(-9). Let r(k) = 7*k**2 - 6*k - 21. Let t(i) = 6*i**2 - 6*i - 21. Let v(n) = 5*r(n) - 6*t(n). Determine v(h).
-6
Let m = -4 - -4. Let p(z) be the second derivative of -1/6*z**3 + 11/2*z**2 + 22*z + 0. Give p(m).
11
Let y(m) = m - 15. Let v be (-8)/(-10)*(-3 - (-3)/6). Let k(s) = 41*s + 82. Let a be k(v). Give y(a).
-15
Let t(n) be the first derivative of -9*n**2/2 + 83*n - 682. What is t(9)?
2
Let c = 15 - 9. Suppose -4*g + 19*g = 75. Let l(t) = g*t - 47*t**2 + 0*t + 1 + 1 - t**3 + 52*t**2 + 6. Calculate l(c).
2
Let f = -1 + 4. Let w(p) = 3*p - p**2 - 4*p + 8*p**2 + p**f - 6. Suppose -667 = 97*l + 97*l + 691. Determine w(l).
1
Let k = -29 + 17. Suppose -3*i - 8*q + 12*q + 6 = 0, -2*q = 0. Let u be (20/k - i/(-3))*7. Let l(s) = -s - 9. Give l(u).
-2
Let c(b) = b**2 + 26*b - 61. Suppose 0 = 2*p + q + 378 - 323, 0 = -2*p + q - 57. Give c(p).
-5
Suppose -2*t - j = -8, -t - 2*j = -2 + 1. Suppose a - 1 = -t*g + 9, 4*g - 8 = -4*a. Let z(r) = 3*r**2 - 5*r. Give z(g).
2
Suppose -3*l = 5*v - 303, 4*v - 3*v = 3*l - 285. Suppose 17*i = 23*i - l. Suppose 4*o = 3*o + 4, -i = -2*t - o. Let g(r) = -r + 5. Give g(t).
-1
Suppose 0 = 12*w - 14*w - f + 3, 0 = -2*w + 3*f + 7. Let d(v) = -4*v**w + 2*v**2 + v**2 - 4 - 11*v - 18*v + 37*v. Determine d(8).
-4
Let h(p) be the first derivative of -p**3/3 - 3*p**2/2 + 3*p + 4. Suppose 2*i + 124 = 2*f, 68 = -f + 2*f + 5*i. Let u be ((f/(-7))/(-9))/((-2)/10). Give h(u).
-7
Let f = 245 - 231. Let m(c) = 35 - f - 23 + 2*c + c**2. Determine m(-3).
1
Let h(f) = -f**2 + f - 13. Let m be (8/35 - (-320)/(-400)) + (-201)/(-21). Calculate h(m).
-85
Let f(g) = g**2 + 5*g + 3. Let u be f(-3). Let v(o) = 49*o**2 - 7*o - 49. Let x(a) = -53*a**2 + 8*a + 53. Let b(i) = 13*v(i) + 12*x(i). What is b(u)?
-7
Let t = 174 + -472. Let x = t - -303. Let r(y) = 8*y - 2. Determine r(x).
38
Suppose 0*b + 2*b = b + 2. Let j(x) = -7*x**3 + 2*x**2 - 2*x + 2. Give j(b).
-50
Let x(g) = 105*g**3 - g**2 - g - 1. Let s(t) = -61*t + 4147. Let m be s(68). Give x(m).
-106
Let d(q) = -3*q**2 + 15*q + 2. Let u(b) = -b**2 + 5*b + 1. Suppose 13*m = -0 - 104. Let k(c) = m*u(c) + 3*d(c). Calculate k(2).
4
Suppose -4*d = 2*o + 2*o - 56, 2*d - 4*o = 4. Let g(u) = -8 - d*u + u + 6*u + 13. Give g(6).
-13
Let m(n) = 5*n**2 + 6*n - 7. Let q(z) = -6*z**2 - 8*z + 9. Let y(r) = 4*m(r) + 3*q(r). Suppose 2*t = 5*d - 12, 3*d - 3*t = -t + 8. Determine y(d).
7
Let y(i) = 3*i + 0*i - 288 - 294 + 640. What is y(-27)?
-23
Let i(y) = -y**3 + 15*y**2 + 16*y - 8. Let j = 2395 + -2379. What is i(j)?
-8
Let r(b) = 64*b - 5. Let l(q) = -13*q + 1. Let u(v) = 11*l(v) + 2*r(v). Let i(a) = 14*a + 97. Suppose -49 = 6*k + k. Let h be i(k). Determine u(h).
16
Let s(j) = -j**3 + 19*j**2 - 5*j + 98. Suppose -2194 = -135*o + 371. What is s(o)?
3
Let u = 4066 + -4075. Let y(h) = h**3 + 10*h**2 + 10*h + 3. Calculate y(u).
-6
Let m = 4259 + -4264. Let n(b) = b**3 + 6*b**2 + 17*b + 51. What is n(m)?
-9
Let f = -40 - -45. Let n(b) = -2*b + 5 - 3 - f + 5. Let l = -46 - -50. Give n(l).
-6
Let p(l) = -2*l + 89. Let z(b) = -b + 445. Let g(h) = -11*p(h) + 2*z(h). Determine g(4).
-9
Let l(y) be the second derivative of -y**4/6 - y**2/2 - 113 | {
"pile_set_name": "DM Mathematics"
} |
(-10)*-5).
-1/4
Calculate ((-3)/(-6))/((-8)/112).
-7
What is the value of 1*-6*1*30/45?
-4
150/(-200)*(-8)/6
1
What is (-9)/(-6)*(-2)/(-1)?
3
What is the value of 20/(-6)*(-702)/(-234)?
-10
What is the value of ((-11)/495*-5)/((-4)/(-12))?
1/3
What is the value of ((-468)/6318)/(-1*(-1)/(-3))?
2/9
What is the value of (-12)/66*44/(-8)?
1
What is (8/10)/(-11*(-14)/(-35))?
-2/11
What is (-1)/2*(-266)/133?
1
What is 20/(-4)*48/30?
-8
Evaluate ((-5)/10)/(1/((-2)/1)).
1
Calculate ((-49)/49)/((-5)/(-4)).
-4/5
Evaluate 16/24*9*2/28.
3/7
What is the value of 9/(-14)*24/(-36)?
3/7
What is the value of (6/5)/((-2)/(-5))?
3
What is the value of 425/170*2*(-2)/65?
-2/13
(-1*15)/(495/(-198))
6
What is the value of -2*(-12)/(-18)*8/(-64)?
1/6
Evaluate 2/(-6)*(-3)/((-24)/(-8)).
1/3
What is (368/92)/((-6)/(-1))?
2/3
What is the value of (-2)/3*(-6)/(-24)?
-1/6
Calculate 1*(-6)/81*3.
-2/9
Evaluate (-2*(-2)/(-10))/(18/(-45)).
1
Evaluate ((-4)/(-12))/(3/(-27)).
-3
What is 1/2*(-4)/(-28)*-4?
-2/7
(-2)/(44/(-10))*18/(-30)
-3/11
Evaluate (-116)/(-87)*1*-3.
-4
Calculate (-6)/(-3)*1/10.
1/5
What is the value of 11/(-22)*(-4)/(-1)?
-2
34/(-34)*-2*3/2
3
Calculate (-4)/(-8)*-1*8.
-4
Evaluate 678/(-565)*5/(-51).
2/17
Evaluate 4*(-18)/24*15/9.
-5
What is the value of (-1*2)/((-128)/16)?
1/4
Calculate ((-1)/(-3))/(63/(-1296)*-8).
6/7
What is the value of ((-9)/(-3))/(((-378)/(-12))/(-21))?
-2
Calculate (21/((-210)/(-8)))/(14/20).
8/7
What is (-5)/4*4/(-1)?
5
What is the value of 24/(-30)*10/(-4)?
2
What is the value of ((-5)/(-350)*18)/(12/20)?
3/7
((-11)/22)/(1/2)
-1
204/(-34)*2/(-6)*-2
-4
Evaluate 5/2*(-40)/25.
-4
Evaluate ((-70)/(-42))/((-16)/(-12)).
5/4
19/(-38)*(12/(-33))/1
2/11
Calculate (14/18)/((-35)/(-15)).
1/3
What is the value of (6/30)/((-2)/10)?
-1
Evaluate 90/225*2/(-4).
-1/5
Calculate 1/((-12)/(-10))*(-40)/100.
-1/3
What is (-2)/24*16/4?
-1/3
Evaluate 2*(-4)/6*(-36)/(-64).
-3/4
What is the value of (2/(-8))/((-25)/75)?
3/4
Calculate 6/2*3/((-9)/5).
-5
Evaluate (-2)/(-3)*(-52)/208.
-1/6
Calculate (((-36)/(-4))/(-45))/(1*2).
-1/10
What is -5*(-7)/35*-4?
-4
Evaluate (-2)/(-10)*(-12)/12.
-1/5
Evaluate ((2*-9)/(273/(-26)))/(-2).
-6/7
Evaluate (30/3)/(2/(-1)).
-5
(48/((-12)/1))/(-4)
1
What is the value of (2/(-1))/(6/(-12))?
4
What is the value of (-3*(-20)/(-45))/(12/(-3))?
1/3
(-21)/35*-1*5
3
(-8)/2*(-4)/8*-5
-10
What is ((4/10)/2)/(144/(-90))?
-1/8
What is the value of ((-8)/(-36))/((-2)/(-18))?
2
What is the value of ((-141)/(-188))/(9/(-2))?
-1/6
What is the value of (1*(-6)/(-9))/((-3)/9)?
-2
Evaluate ((-140)/(-1715))/((-2)/(-7)*1).
2/7
((-4)/(-10))/(((-3)/(-5))/3)
2
What is ((-4)/20)/(2/(-4))?
2/5
Calculate 0/(-3*(-16)/24).
0
What is the value of ((-2)/((-4)/(-6)))/(36/(-8))?
2/3
Calculate (-12)/10*(-10)/90*15.
2
Calculate ((20/(-65))/4)/(7/14).
-2/13
What is the value of 4/2*(-51)/153?
-2/3
What is the value of (2/(-110))/((-1)/5)?
1/11
(3/(-2))/((-1)/(56/147))
4/7
Evaluate (-150)/(-45)*30/25.
4
What is (1/2*32/(-8))/2?
-1
Evaluate ((-4)/2)/((-54)/6).
2/9
Evaluate 2/(-6)*2/(6/6).
-2/3
((-14)/84)/((-2)/(-2))
-1/6
What is (-2)/5*(-130)/13?
4
(10/4)/(130/260)
5
Evaluate ((-28)/(-140))/((-1)/(-2)).
2/5
What is -1*((-55)/(-30))/(-11)*-1?
-1/6
Evaluate (-1)/(-2)*(-1)/(-15)*-6.
-1/5
Evaluate (-1)/((-1)/(-1)*(-165)/(-22)).
-2/15
What is (8/(-6))/(15/(-45))?
4
6/(-4)*(-976)/(-366)
-4
Evaluate 2/(-70)*5*(-2)/3.
2/21
Calculate ((-24)/9)/(4/6).
-4
What is (2/6)/(1*(-7)/(-21))?
1
Calculate -1*(-20)/8*-2.
-5
Calculate (-29)/116*8/(-2).
1
Evaluate (4*7/56)/(3/6).
1
Evaluate (-3)/2*(-3)/(81/(-12)).
-2/3
What is (-3)/(1*3/1)?
-1
What is the value of ((-2)/20*1)/((-12)/(-10))?
-1/12
Evaluate (4/(-3))/(-6*(-1)/9).
-2
Evaluate (-48)/(-8)*(-2)/6.
-2
Evaluate (-2)/2*-2*(-239)/(-5975).
2/25
What is the value of -6*(-8)/(-60)*10/(-12)?
2/3
What is the value of ((-4)/(-12))/(24/(-9))?
-1/8
Calculate ((3168/80)/33)/(2/15).
9
(-1)/(6/44)*(-6)/4
11
Evaluate 43/(-129)*18/(-1).
6
Calculate (-270)/27*1/(-2).
5
Calculate ((-10)/(-10))/(7/(-7)).
-1
What is the value of ((0*4/32)/4)/4?
0
(((-8)/2)/8)/(8/32)
-2
What is the value of (2/4)/((-4)/(-24))?
3
((-2)/16)/((285/(-90))/19)
3/4
What is (-12)/(-8)*(1*-1)/3?
-1/2
Calculate (-84)/(-36)*(-126)/(-49).
6
Calculate ((-60)/3)/5*2/8.
-1
Calculate 3/((-18)/(-4))*(-90)/180.
-1/3
Calculate (33/(1485/(-60)))/((-68)/(-6)).
-2/17
What is the value of ((-3)/(-6))/((-1)/4*1)?
-2
What is the value of (((-30)/5)/(6/4))/(-6)?
2/3
Evaluate (-11)/(176/(-40))*12/(-10).
-3
What is the value of 5/25*(-45)/18?
-1/2
What is the value of ((-1)/2)/(6/12)?
-1
Evaluate 1*(-12)/(-84)*7/1.
1
Calculate (-6)/(-2)*3/((-18)/(-10)).
5
What is the value of 30/45*3/(-12)*6?
-1
Evaluate (18/32)/((-33)/(-44)).
3/4
0/19*1/(-4)
0
What is (-4)/(-1)*(225/(-20))/9?
-5
Calculate ((-6)/9)/((-31)/(-186)).
-4
Calculate (80/160)/((-2)/(-36)).
9
Evaluate ((-6)/5)/((-45)/50).
4/3
What is 6/45*3*(-3)/(-6)?
1/5
What is ((-114)/(-171))/((16/(-3))/1)?
-1/8
0/(3/(-9)*3)
0
What is (-5)/225*(-72)/8?
1/5
What is the value of (-22)/((-33)/(-3))*10/(-4)?
5
What is the value of (3*20/(-24))/(1/(-2))?
5
12/24*(-4)/6
-1/3
Evaluate (-8*3/(-24))/((-2)/(-10)).
5
What is the value of (-5*(-2)/(-4))/(39/(-78))?
5
Evaluate -2*3*8/64.
-3/4
Calculate (-2)/(-6)*(-4)/10.
-2/15
What is -3*((-5)/40)/(6/6)?
3/8
3/(-7)*(-80)/(-480)
-1/14
Calculate ((-36)/8)/(-9)*-6.
-3
32/(-336)*42/9
-4/9
Calculate ((-21)/(-7))/(-3)*-1.
1
What is the value of (-4)/7*(35/7)/(-10)?
2/7
What is the value of 2*2/((20/4)/(-5))?
-4
Calculate 52/(-286)*11/(-1).
2
4/18*39/52
1/6
Calculate ((-2)/(-13))/(448/728).
1/4
Calculate 9/(-15)*70/21*3.
-6
What is the value of (144/9*(-6)/(-12))/(-1)?
-8
Calculate (2/(-6))/((-6)/(-108)*-2).
3
36/(-32)*(-10)/30
3/8
Calculate ((-12)/(-2))/(105/30*-2).
-6/7
Evaluate (-30)/20*(-2)/3.
1
What is the value of ((-12)/(-36))/((-65)/30)?
-2/13
What is the value of ((-8)/(-50))/(116/290)?
2/5
What is 4*(-11)/(-792)*-4?
-2/9
What is the value of (-5)/(-6)*(-11)/((-220)/12)?
1/2
Evaluate 4/12*(-3)/12*3.
-1/4
Evaluate (15/(-25))/(6/(-4)).
2/5
((5/2)/(-5))/(75/1050)
-7
Evaluate (-53)/53*-6*(-4)/6.
-4
What is the value of ((-2)/3)/((-16)/(-96))?
-4
((-19)/76)/(1/(-20))
5
Calculate (8/3)/(((-70)/(-15))/(-7)).
-4
Evaluate 18/15*8/((-48)/2).
-2/5
Calculate (-3*(-1)/3)/(3*-1).
-1/3
What is (35/(-18))/7*80/200?
-1/9
(36/(-54))/((-4)/(-18))*3
-9
Calculate 2/(-2)*42/14.
-3
Evaluate ((-2)/3)/((-21)/((-42)/4)).
-1/3
What is 25/10*8/4?
5
Evaluate 4/(-91)*84/(-24).
2/13
14/(-20*(-11)/(-22))
-7/5
5/((-125)/10)*5
-2
What is the value of ((-4)/(-6))/((1235/15)/(-19))?
-2/13
What is the value of (-6*1/(-6))/((-4)/(-2))?
1/2
(-24)/(-7)*(-32)/(-192)
4/7
What is the value of (4/(-14))/((-42)/294)?
2
Evaluate 27/(-18)*1/(-1).
3/2
What is the value of ((-22)/(-55))/(184/40)?
2/23
Evaluate ((-1)/(-2))/(-2*3/4).
-1/3
What is the value of 6/8*60/15?
3
What is the value of (-16)/(-20)*4/(-8)?
-2/5
Calculate 4/9*(-2)/(-48)*6.
1/9
-2*((-49)/14)/(-7)
-1
What is the value of 5/((-35)/7)*-4?
4
Calculate 5/(-110)*-4*1.
2/11
What is 0*(21/(-6))/7?
0
What is the value of (27/((-9)/(-1)))/(-1)?
-3
Evaluate (8/(72/27))/(6/(-2)).
-1
Calculate 1*12/(-112)*4.
-3/7
Calculate 2/(-2)*(-5)/55.
1/11
What is (20/(-15))/(156/(-18))?
2/13
Calculate ((-8)/6)/(256/(-384)).
2
Evaluate (4/7)/(8/((-24)/(-6))).
2/7
What is the value of (-3)/(-2)*(-88)/220?
-3/5
Calculate (-1)/1*9/(-9).
1
8/6*-2*7/(-56)
1/3
What is (1*1/(-66))/((-1)/4)?
2/33
What is the value of (2/15)/(24/40)?
2/9
Calculate 21*-1*(-36)/108.
7
What is (-1152)/(-144)*(-7)/8?
-7
What is the value of (10/(-4))/(((-6)/6)/(-2))?
-5
What is (9*(-3)/54)/((-1)/4)?
2
Calculate (108/(-81))/(4/(-21)).
7
(0/(-5))/((-3)/(9/(-6)))
0
Calculate (-1)/(-2)*(-6)/(-9)*3.
1
(3*(-8)/(-60))/((-18)/10)
-2/9
Evaluate (6/18)/(8/(-48)).
-2
Evaluate 4/12*12/12.
1/3
(52/(-65))/((-2)/(-10))
-4
Calculate (11/((-22)/5))/2.
-5/4
What is (2/1)/(13/(650/20))?
5
What is the value of (-6)/((108/8)/9)?
-4
28/(-14)*(-2)/4
1
What is the value of (21/(-21))/(2/((-8)/2))?
2
What is the value of (2*(-6)/(-10))/(45/75)?
2
Calculate (8/14)/(160/1680).
6
What is the value of 4*(-44)/(-22)*1/(-2)?
-4
What is (16/392)/(-2*3/(-42))?
2/7
What is the value of (((-14)/(-210))/(2/6))/1?
1/5
What is the value of 9/(-30)*-2*35/(-7)?
-3
15/140*1*-4
| {
"pile_set_name": "DM Mathematics"
} |
(b) 0 (c) 4/3
b
Let x be (-8)/14 + (-4)/(-14). Let d = -8 + 6. What is the second smallest value in d, -5, x?
d
Let s = 11 - 20. Let f = s - -8. What is the smallest value in 0, -0.1, f?
f
Let k = 0.1 - -3.9. Let l = 0.16 - -1.84. Which is the third biggest value? (a) -0.2 (b) l (c) k
a
Let v be (-81)/(-12) + (-1)/(-4). Let n be (-1)/((14/8)/v). Which is the biggest value? (a) 1/8 (b) n (c) -0.1
a
Suppose 27 = 2*z - 5*z. Let v = -9 - z. What is the second smallest value in 0.4, -0.4, v?
v
Let d be -1 + 4 - 18/5. Let r = -6 + 10. What is the third smallest value in -1, d, r?
r
Let y = 3 + -6.6. Let f = y + -1.4. Which is the second smallest value? (a) -2 (b) f (c) -0.4
a
Let l be (-182)/(-70) + (-4)/(-10). Let t = 1 - 1. What is the second biggest value in 1, l, t?
1
Let u = 4.93 - -0.07. Let g = 1.2 - 0.3. Let w = 0.8 - g. What is the biggest value in 0.3, w, u?
u
Let u = 47/2 + -24. What is the biggest value in -0.4, u, 1/3?
1/3
Let t be 6/(-24) + (-38)/(-88). Suppose 3*r = r - 6. What is the smallest value in r, 2/5, t?
r
Let x = -9.3 - -7.3. Let d be 0 - (6/(-4) - -2). What is the third smallest value in x, 0.2, d?
0.2
Let f(n) be the first derivative of -n**3/3 + n**2/2 - 2*n - 8. Let o be f(0). Suppose -i + 4 = -0. Which is the biggest value? (a) -2/5 (b) o (c) i
c
Let w be 2/(-10) - (-52)/10. Let z = 134 + -533/4. Which is the third biggest value? (a) z (b) 2/13 (c) w
b
Let x = 2 + -2. Let s be (-10)/25 - (-78)/120. Let h = -1 - 0. Which is the third biggest value? (a) x (b) h (c) s
b
Let z = 6.96 + -7. Let m = -3.04 - z. Let d = -9 + 4. Which is the second smallest value? (a) m (b) 2/9 (c) d
a
Let q = -4.1 + 4. Let z = 4/5 - 22/15. Which is the second biggest value? (a) q (b) z (c) -1/5
c
Let f(x) = x - 1. Let u be f(7). Let w be ((-22)/(-3))/(2/u). Let q = 43/2 - w. What is the second biggest value in -5, q, 2/7?
q
Let g = 4.7 + 0.3. Let k be ((-15)/18 + 1)*6. Let o = -0.3 + -0.7. What is the biggest value in k, g, o?
g
Let c = 32 - 28. What is the third biggest value in -5, c, 1/9?
-5
Let d = 21.4 - 21. Which is the second smallest value? (a) 2/3 (b) -2 (c) d
c
Let x = 0.68 + -0.18. What is the second smallest value in x, 4, -1/6?
x
Let r be 2/7 - 810/(-56). Let q = r - 15. Let m = 2 - 3. What is the second biggest value in q, m, 4?
q
Let u = 0.92 - 5.92. Which is the fourth smallest value? (a) u (b) 4 (c) 2/35 (d) -4
b
Let w be (-2 - 1/(-2))*2. Let f be (-3)/((-54)/57) + w. What is the third biggest value in 1/5, f, -0.1?
-0.1
Let p = 8 - 8.5. Suppose 45 - 145 = -5*k. Let v be (-6)/k*10/(-15). What is the second biggest value in p, v, 2/5?
v
Let z = 52 + -54. Which is the biggest value? (a) z (b) 0 (c) 3/7 (d) -2/5
c
Let a = -2 - -2.2. Let x = -9/25 - -67/325. What is the smallest value in a, x, -1?
-1
Let z be 20/40 - (-6)/(-4). What is the third smallest value in z, -2, 1/3, -1/24?
-1/24
Let p = -2/121 + 252/605. Let z = -0.44 - -0.14. Let u = 3417/13 + -263. What is the smallest value in p, u, z?
z
Let z = -4.9 + 6.9. What is the smallest value in 6, 1/5, z?
1/5
Let q = -28 + 20. Let s = 6 + q. Let m = 0.8 - 4.8. Which is the smallest value? (a) s (b) 3 (c) m
c
Let m be 4/(-3)*15/(-170). Suppose -3*r + 24 = 2*j, j - 3*j = 2*r - 16. Suppose 3*v = 1 + r. Which is the second biggest value? (a) m (b) 1 (c) v
b
Suppose -2*u - 12 = 2*y - 7*y, -5*u = -5*y. Let p = u - 9. Which is the third biggest value? (a) p (b) -2/3 (c) -4
a
Let j = 1/79 - 244/553. What is the second biggest value in j, -5, -0.1?
j
Let r = -4 + 3.5. Let w = r - -0.3. Which is the third biggest value? (a) 4 (b) w (c) 0.2
b
Let j = -155 - -158. What is the smallest value in 3/4, j, 1, 2/3?
2/3
Let p = 0.04 - 0.44. Let x be (2/2)/(6/(-4)). Let l = 5 - 4.8. What is the biggest value in p, x, l?
l
Let h = -0.06 - -0.36. Let i = h + 4.7. Let j = 2.4 - -0.6. Which is the second smallest value? (a) -0.4 (b) i (c) j
c
Let g = 1.022 - 0.022. What is the smallest value in g, -1/2, -8?
-8
Let u = 0.3 - 0.1. Let o be 10/(-3) - (-2)/(-3). Which is the biggest value? (a) -0.2 (b) u (c) o
b
Let b = -0.049 + -6.951. What is the third biggest value in b, 0, -2?
b
Let t = -4 - -3.8. Let p = t - 0. Which is the biggest value? (a) -0.5 (b) 4 (c) p
b
Suppose 4*d - d - 12 = 0. Which is the third smallest value? (a) -5 (b) 2.2 (c) d
c
Let x = -0.5 - -3. Let a = x + -2. Let q = 3 - 2.9. What is the biggest value in a, q, -1?
a
Let i = 4.14 - 0.14. Which is the third smallest value? (a) 2 (b) i (c) -0.1
b
Suppose -4*d = -d. Suppose 3*k = -d*k + 12. What is the biggest value in -0.4, -0.5, k?
k
Let x = -1071 + 3274/3. Let w = -2 - -23. Let o = w - x. Which is the third biggest value? (a) 0 (b) o (c) 1/2
a
Let o = -5 - -6. Let q = -0.8 + -0.2. Let w = q + o. What is the second smallest value in 0.2, -0.5, w?
w
Let u = -8 + 8.04. Let j = -1.96 - u. What is the second biggest value in -0.2, j, -1/4?
-1/4
Suppose 25 = -3*h + 4*h + 4*r, -h = -5*r + 20. Which is the biggest value? (a) 2 (b) -2/15 (c) h
c
Let q = 3 - 3.1. Let w = q - -0.2. Let u = 5 + -1. What is the biggest value in -5, w, u?
u
Let q = 86.8 - 87. What is the fourth biggest value in 0.5, -1/7, q, 9?
q
Let g be ((-8)/(-60))/(2/10). Which is the second biggest value? (a) -3/7 (b) -0.2 (c) g
b
Let b = 23 + -38. Let k be (b - 0)*(-2)/6. What is the third biggest value in k, -5, 1?
-5
Let i(b) = 2*b + 4. Let c be i(-3). Let f = c + 7. What is the second smallest value in 2, f, -4/5?
2
Let p = -9 - -14. Let l = 0.04 - -0.24. Let h = -0.02 - l. Which is the second biggest value? (a) p (b) h (c) -2
b
Let l(s) = -11 + 9*s - 2*s - 5*s - 3*s. Let z be (2*1)/(1/(-4)). Let r be l(z). What is the third biggest value in 4/7, -0.1, r?
r
Let l = 5 + -2. Let u = 3.2 - l. Which is the biggest value? (a) u (b) 3/4 (c) 0.4
b
Let o(k) = k + 2. Let y be o(-3). Let r be (-1)/y - 1 - -5. Let t = -195 + 192. Which is the smallest value? (a) r (b) 0.2 (c) t
c
Let u be -1*(-1)/(-2)*8. Let d = -0.66 + -4.34. Which is the smallest value? (a) 0 (b) d (c) u
b
Suppose -86 = -3*s - 4*l, -2*s + 3*l + 88 = -2*l. Let v = 137/4 - s. Let d = 0.2 - 0. What is the third biggest value in d, v, -1?
-1
Let v = 7 + -7.2. Let q = v + 0.2. Let r = -10/13 + 31/91. Which is the third biggest value? (a) r (b) q (c) 0.2
a
Let o be -5 + 0 + 7 + -7. Let r = 11/40 - 1/40. Which is the third biggest value? (a) o (b) -3 (c) r
a
Let f = 2 - 0. Let z be 1/28 - 3/(-12). Let l = 1.3 + 1.7. Which is the biggest value? (a) z (b) l (c) f
b
Let z = 1250 + -17513/14. Let o = 10/7 + z. What is the third biggest value in -0.1, o, -1/4?
-1/4
Let b = -1.4 + 0.5. Let k = b + 1. Let z = 8 - 3. What is the second smallest value in k, z, -3?
k
Let r = -0.06 - -0.16. Which is the biggest value? (a) 1/3 (b) 1 (c) 2/3 (d) r
b
Let y = 5 + -2. Suppose 5*k - 15 = 5*m + 10, 0 = y*m - 9. Let u be 6/9*(-6)/k. What is the third smallest value in u, 0.4, -2/11?
0.4
Let d = 1.5 + -4.5. Let p be (1/6)/((-3)/9). What is the second biggest value in p, d, 1/4?
p
Let v be 12/(-27) + 2/3. What is the second smallest value in 1/4, 1, v?
1/4
Let j = -149/56 - -16/7. Which is the smallest value? (a) 2/11 (b) 4 (c) j
c
Let s be (190/(-57))/(2/(-3)). Which is the third biggest value? (a) -4.5 (b) -2 (c) s
a
Let j be (16/24)/((-1)/(-3)). Let n be (2/(-30))/(j/(-6)). What is the second smallest value in -0.3, 0.3, n?
n
Suppose -r = 3*r + 24. Let x = -14 + 35. Let m be (14/x)/((-22)/r). Which is the third smallest value? (a) m (b) 3 (c) -2/9
b
Let n = -9.2 + 9. Let r = n + -0.6. Let m = r + 0.6. What is the second biggest value in m, -1/7, -0.1?
-1/7
Let y = 3/20 + -1/40. Suppose 0*t + 2 = 2*t. Let p = 168 - 166. Which is the second smallest value? (a) t (b) y (c) p
a
Suppose 0*g = -4*g - 492. Let o = -987/8 - g. Let a be 13/26 + ((-21)/(-9) - 3). What is the second biggest value in -0.2, a, o?
-0.2
Let u = -13 - -18. Let y be (-334)/(-1950)*4/(-3). Let f = -2/325 - y. What is the third biggest value in f, u, 1?
f
Let v = -2 + 2.2. Let d be (-2 + 28/10)/2. What is the third biggest value in -4, v, d?
-4
Let z(s) = -5*s**3 - 2*s**2 + 1. Let y be z(1). Let n be y/(-4)*(-6 - -8). What is the biggest value in 0.5, n, -2/11? | {
"pile_set_name": "DM Mathematics"
} |
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