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pile-dm_mathematics

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er when 649494 is divided by 818? 2 What is the remainder when 201901 is divided by 193? 23 What is the remainder when 25104 is divided by 24158? 946 Calculate the remainder when 477548 is divided by 1148. 1128 What is the remainder when 922296 is divided by 3507? 3462 What is the remainder when 2265147 is divided by 74? 7 What is the remainder when 6444892 is divided by 13? 12 Calculate the remainder when 762563 is divided by 236. 47 Calculate the remainder when 1617114 is divided by 152. 138 Calculate the remainder when 3382731 is divided by 1142. 127 Calculate the remainder when 5023280 is divided by 2429. 108 Calculate the remainder when 28148201 is divided by 5629640. 1 Calculate the remainder when 23919801 is divided by 402. 399 What is the remainder when 4796212 is divided by 4321? 4223 Calculate the remainder when 18618445 is divided by 16. 13 What is the remainder when 21032 is divided by 81? 53 What is the remainder when 18293292 is divided by 315? 297 Calculate the remainder when 566008 is divided by 33. 25 What is the remainder when 15590269 is divided by 1984? 1981 What is the remainder when 7217661 is divided by 111? 108 Calculate the remainder when 44711890 is divided by 816. 802 What is the remainder when 188045339 is divided by 3340? 3339 What is the remainder when 15211846 is divided by 419? 51 What is the remainder when 67986978 is divided by 116? 74 Calculate the remainder when 42765187 is divided by 55. 47 What is the remainder when 557930 is divided by 185960? 50 Calculate the remainder when 50371 is divided by 1787. 335 Calculate the remainder when 508918 is divided by 28. 18 Calculate the remainder when 5321918 is divided by 1764. 1694 Calculate the remainder when 185999 is divided by 24749. 12756 Calculate the remainder when 2007891 is divided by 334627. 129 What is the remainder when 75625205 is divided by 4317? 4316 Calculate the remainder when 25015802 is divided by 306. 302 Calculate the remainder when 77111996 is divided by 3825. 3821 What is the remainder when 39037 is divided by 38416? 621 Calculate the remainder when 467456 is divided by 23. 4 What is the remainder when 1529687 is divided by 3549? 68 What is the remainder when 8790298 is divided by 377? 166 Calculate the remainder when 5660476 is divided by 942. 940 Calculate the remainder when 45702 is divided by 5631. 654 Calculate the remainder when 207122 is divided by 7344. 1490 What is the remainder when 3648988 is divided by 2050? 2038 Calculate the remainder when 156364687 is divided by 2308. 2303 What is the remainder when 25822373 is divided by 6292? 5 Calculate the remainder when 118757 is divided by 59362. 33 Calculate the remainder when 2008112 is divided by 3038. 3032 What is the remainder when 30510791 is divided by 7627693? 19 Calculate the remainder when 1200063 is divided by 4898. 53 What is the remainder when 207143 is divided by 5179? 5162 What is the remainder when 3558287 is divided by 185? 182 Calculate the remainder when 563347 is divided by 32. 19 Calculate the remainder when 1441642 is divided by 2120. 42 What is the remainder when 199020 is divided by 1990? 20 Calculate the remainder when 309491 is divided by 1887. 23 What is the remainder when 1954096 is divided by 1213? 1166 Calculate the remainder when 45035998 is divided by 2025. 2023 Calculate the remainder when 18159 is divided by 2134. 1087 What is the remainder when 71514790 is divided by 28767? 28 What is the remainder when 449586 is divided by 449215? 371 What is the remainder when 275641 is divided by 21895? 12901 What is the remainder when 32701 is divided by 377? 279 Calculate the remainder when 195183 is divided by 105. 93 Calculate the remainder when 820596 is divided by 4689. 21 What is the remainder when 3463626 is divided by 386? 48 What is the remainder when 6454562 is divided by 220? 202 What is the remainder when 928233 is divided by 89? 52 Calculate the remainder when 119480 is divided by 4104. 464 Calculate the remainder when 633675 is divided by 70407. 12 What is the remainder when 49204613 is divided by 14180? 13 Calculate the remainder when 874424 is divided by 67151. 1461 What is the remainder when 1521469 is divided by 23? 19 Calculate the remainder when 787465 is divided by 262323. 496 What is the remainder when 61331 is divided by 18543? 5702 What is the remainder when 423372778 is divided by 6? 4 Calculate the remainder when 4949338 is divided by 15. 13 Calculate the remainder when 733572 is divided by 146683. 157 Calculate the remainder when 18633 is divided by 6195. 48 What is the remainder when 113927289 is divided by 16275324? 21 What is the remainder when 816657 is divided by 573? 132 Calculate the remainder when 113882 is divided by 113244. 638 Calculate the remainder when 70884909 is divided by 8364. 9 What is the remainder when 357745 is divided by 18? 13 What is the remainder when 2436017 is divided by 7144? 7057 Calculate the remainder when 450998 is divided by 5044. 2082 Calculate the remainder when 34291247 is divided by 33. 23 Calculate the remainder when 527302 is divided by 184. 142 Calculate the remainder when 961822 is divided by 1143. 559 Calculate the remainder when 22556 is divided by 1072. 44 Calculate the remainder when 2650963 is divided by 19. 7 Calculate the remainder when 211465 is divided by 71. 27 Calculate the remainder when 27999 is divided by 38. 31 What is the remainder when 836746 is divided by 418312? 122 What is the remainder when 639717 is divided by 1829? 1396 Calculate the remainder when 3660155 is divided by 3660151. 4 What is the remainder when 2043402 is divided by 681059? 225 What is the remainder when 1406266 is divided by 702905? 456 Calculate the remainder when 47383031 is divided by 103231. 2 Calculate the remainder when 401224 is divided by 50. 24 What is the remainder when 3343308 is divided by 10? 8 What is the remainder when 11654431 is divided by 2008? 2007 What is the remainder when 9013077 is divided by 3004333? 78 What is the remainder when 438731969 is divided by 107217? 5 What is the remainder when 33903025 is divided by 4843285? 30 What is the remainder when 2630343 is divided by 480? 423 What is the remainder when 179013673 is divided by 1186? 19 Calculate the remainder when 1343426739 is divided by 22. 17 Calculate the remainder when 21928 is divided by 9556. 2816 Calculate the remainder when 411906 is divided by 24227. 47 What is the remainder when 1387359 is divided by 46245? 9 What is the remainder when 28507526 is divided by 3750? 26 What is the remainder when 401720 is divided by 1673? 200 What is the remainder when 190819991 is divided by 95409993? 5 Calculate the remainder when 33689 is divided by 14. 5 Calculate the remainder when 13168453 is divided by 823028. 5 What is the remainder when 248906 is divided by 22617? 119 Calculate the remainder when 13927892 is divided by 918. 914 Calculate the remainder when 29045 is divided by 3140. 785 Calculate the remainder when 9037892 is divided by 2333. 2183 What is the remainder when 1433664 is divided by 1661? 221 Calculate the remainder when 17646385 is divided by 5184. 49 Calculate the remainder when 11479668 is divided by 33. 24 What is the remainder when 11283503 is divided by 16? 15 What is the remainder when 927463 is divided by 154553? 145 What is the remainder when 11408916 is divided by 19569? 189 What is the remainder when 7286034 is divided by 547? 541 What is the remainder when 328378 is divided by 2424? 1138 What is the remainder when 16836170 is divided by 80172? 50 Calculate the remainder when 6893971 is divided by 277. 272 What is the remainder when 26183009 is divided by 935107? 13 Calculate the remainder when 5412970 is divided by 360. 10 Calculate the remainder when 8716 is divided by 312. 292 Calculate the remainder when 107611423 is divided by 79. 72 What is the remainder when 112542 is divided by 114? 24 What is the remainder when 28362101 is divided by 28362086? 15 What is the remainder when 3301483 is divided by 817? 803 Calculate the remainder when 5532036 is divided by 4147. 4085 Calculate the remainder when 4677994 is divided by 3604. 2 Calculate the remainder when 20942961 is divided by 82. 79 What is the remaind
{ "pile_set_name": "DM Mathematics" }
is the units digit of -3 + (20 - (-4 - -7))? 4 Suppose -u + 2*u = -1. Let j = 8 + u. What is the units digit of j? 7 Let q(j) = 2*j**2 - 2*j + 21. What is the units digit of q(6)? 1 Suppose -5*m + 40 = 5*a, -5*a + 38 = 2*m + 1. Let q = a - 3. Suppose -3*o = -3*v - 13 - 2, -q*v = 2*o - 34. What is the units digit of o? 9 Let u(v) = 3*v**3 - v**2 + 7. What is the units digit of u(3)? 9 What is the tens digit of (158/5)/((-34)/(-85))? 7 Suppose 0 = -4*a + x + 22, 4*a - 5*a + 4*x = -13. Suppose 5*d = m + 4*m, -2*m = a*d - 7. What is the units digit of d? 1 Suppose 0 = 5*c - 20 - 0. Suppose 50 = c*l - 66. What is the tens digit of l? 2 Let i(g) = g + 2. Suppose y + 3*f - 3 = 0, 0 = -0*f - 2*f + 4. Let o be i(y). What is the units digit of (2/4)/(o/(-2))? 1 Let a(x) = 2*x**2 - 1. What is the units digit of a(-4)? 1 Let m = 112 - -7. What is the tens digit of m? 1 Let w = 14 + -14. Suppose w = -5*i + 5 + 125. What is the units digit of i? 6 Suppose -3*y = -5*d - 9, -4*d + y - 6 = -2*y. What is the units digit of (-5)/d + (-8)/(-24)? 2 Let i(u) = -u**2 + 4*u. Let s be i(4). Suppose d - 3*d = s. Suppose d*r = -4*r + 32. What is the units digit of r? 8 Suppose 7*k - 8 = 3*k. What is the units digit of ((-45)/(-18))/(1/k)? 5 Let k = -3 - -4. Let g = -3 - 2. Let o = k - g. What is the units digit of o? 6 Let x(z) = z**2 - 11*z + 12. Suppose m - 4*w + 6*w = 2, 2*m = -2*w + 10. Let c be x(m). Let k = 0 - c. What is the tens digit of k? 1 Suppose -2*q + q - 2*s + 52 = 0, -2*q + 113 = s. What is the tens digit of q? 5 Let r(k) = -k**3 - 8*k**2 + 9*k + 3. Let t be -10 + (-3 - -4 - 0). What is the units digit of r(t)? 3 Suppose -2*r - 9 = -2*k + 9, 0 = 4*k + 3*r - 1. Suppose -5*i + k*i - 32 = -3*c, 2*i = -c + 6. What is the units digit of c? 0 Suppose -3*p - 8 = -26. What is the tens digit of (2/p)/((-2)/(-60))? 1 Suppose -85 + 481 = 3*t. What is the tens digit of t? 3 Suppose 3*w - 288 = 24. What is the units digit of w? 4 What is the tens digit of (-2)/11 - (-1 + 893/(-11))? 8 Let p be 1/2 - 13/(-2). Let r = 25 - 19. Let q = p - r. What is the units digit of q? 1 Suppose -5*h + 3*d - 36 = -208, -3*h - 5*d = -76. What is the units digit of h? 2 Let f = -12 - -15. What is the units digit of 1*(-1 + f) - 1? 1 Suppose -3*c + 198 = 48. What is the tens digit of c? 5 Let a = -33 + 115. What is the units digit of a? 2 Suppose 3*w - 6*w + 12 = 0. Suppose -w*t + 3*t = -2*d - 5, -5*t + 12 = 3*d. What is the units digit of (-1)/1*1 + t? 2 Let r(q) = -13*q - 17. What is the tens digit of r(-5)? 4 Let h(s) = 9*s - 22. What is the units digit of h(9)? 9 Let v(o) = o**2 + o. Let f be v(-2). Suppose -4*p = -f*p. Let j(u) = -u**3 - u**2 + 15. What is the tens digit of j(p)? 1 Suppose 4*x + 2*r = 18, -4*x + 4*r + 3 = x. Suppose -3*j + 5*k = -22, -j - 5*k + x + 11 = 0. Suppose -2*o - j = -3*o. What is the units digit of o? 9 Suppose -2*x = -5*x + 36. What is the units digit of x? 2 Let s(v) = v**3 + 15*v**2 - 20*v - 22. What is the tens digit of s(-16)? 4 Let k be (-10)/15*15/2. Let t = 5 + k. Suppose 7 = -t*c + c. What is the units digit of c? 7 Let q(k) = k**3 - 4*k**2 + 2*k + 4. Let h(w) = -w**2 + 4. Let n be h(0). Suppose -1 = -n*p + 15. What is the units digit of q(p)? 2 Suppose 2*g + 4 = -5*d - 7, -3*d + 1 = 5*g. What is the units digit of g? 2 What is the hundreds digit of 54/(-3*(-8)/108)? 2 Suppose 2*q + 2 = -5*n, 0*q = 2*n + q. Let y(d) = -3*d**2 - 2*d - 3. Let i be y(n). Let o = -1 - i. What is the units digit of o? 0 Suppose 4*h - 3*l = 14, 2*l - 7*l = 2*h + 6. Let k = 13 + -6. Suppose -h*v - k = -29. What is the tens digit of v? 1 Suppose -a = -17 + 2. What is the tens digit of 30/4*24/a? 1 Let n(h) = h**2 - 7*h + 10. What is the tens digit of n(8)? 1 Let q be 2 + -3 + 0 - -62. Suppose 3*t - 35 = q. Suppose -6*m + t = -2*m. What is the units digit of m? 8 Let v be (3 - 4) + 3/3. Suppose 3*p - 3*r + v*r = 57, p - 3*r = 27. What is the units digit of p? 5 Suppose 0 = -5*c - 0*o + 2*o + 170, -170 = -5*c + o. What is the units digit of c*(-1)/(0 - 2)? 7 Let b = 96 + -37. Let n = b + -29. What is the units digit of n? 0 Suppose 3*y - 13 = -4*n, -5*y = -4*n + 5 - 16. Let t = 2 + n. What is the units digit of (3 + 0)*1*t? 9 Suppose -l - 4*b + 20 = -5*l, 3*l = -b + 5. Let p(o) = l*o - o + 6 + o - o. What is the units digit of p(4)? 2 Let k = 7 + -6. What is the units digit of k? 1 Let q(z) = -4*z - 2. Suppose 0*l + 2*l = 4. Let g be q(l). What is the units digit of (g/(-3))/((-3)/(-9))? 0 Let r(u) be the second derivative of -u**5/20 - 2*u**4/3 - 5*u**3/3 - u**2/2 + 2*u. Suppose -20 - 1 = 3*d + 3*o, 4*o = 0. What is the units digit of r(d)? 0 Let u be -17 + 2*2/(-4). Let i = -11 - u. What is the units digit of i? 7 Suppose 0 = 3*o + 4*b - 2*b - 161, -o + 4*b = -77. Suppose -o + 9 = -4*y. Suppose -m + 4*m - 2*a - 30 = 0, -4*a = -2*m + y. What is the tens digit of m? 1 Let f be (-3 - -1*2)*3. Let x = 3 + f. Suppose -2*b - 8 = -4*j, x*b + 3*j = b + 7. What is the units digit of b? 2 Suppose 0 = 3*r + 3*k + 21, r = 4*k + 5 + 3. Let p = 11 - r. What is the tens digit of p? 1 Let n be 0/4 - (-4)/(-2). Let i = 2 + n. Suppose 6*g - 3*g - 3 = i. What is the units digit of g? 1 Let s = 10 - 6. Suppose -3*x - 64 = -0*m - 2*m, 3*m - 95 = s*x. What is the tens digit of m? 2 Let h(m) = -m**2 + 6*m - 4. Suppose -5*a = -25 + 5. What is the units digit of h(a)? 4 Suppose -5*p + 5 = -3*j - j, 0 = -2*j + 2*p. Suppose -j*z = 1 - 6. What is the units digit of z? 1 Let o be 0 + ((-4)/2)/(-1). Suppose 3*v = o + 7. What is the units digit of ((-1)/v)/(4/(-36))? 3 Suppose 2*u = -4*s + 58, 6*u - 159 = u + 4*s. What is the tens digit of u? 3 Suppose -44*c + 49*c - 550 = 0. What is the tens digit of c? 1 Let y(j) = -j**2 - 8*j + 11. Let g be y(-8). Let a = -2 + 1. Let s = g + a. What is the units digit of s? 0 What is the units digit of 663/7 + -1*(-8)/28? 5 Suppose 0 = -3*v - 0*v - 12. Let z = 7 + v. Suppose 3*d - 3 = z. What is the units digit of d? 2 Suppose 0*v - v = -3*s + 26, s - 4 = 0. Let b = 21 + v. Let k = 18 - b. What is the units digit of k? 1 Let j(q) = -q + 7. Let h be j(3). Let o = 33 + -24. Let r = o - h. What is the units digit of r? 5 Let j = 1 + 1. Let p = 1 + 12. Suppose -4*n = -5*m - 27, -5*m = -j*n - 2*m + p. What is the units digit of n? 8 Let y(o) = -5*o - 1. Let v be y(-1). Let s = v + -17. What is the units digit of (-1)/(s/(-7) + -2)? 7 Suppose 0 = 2*i - 4*w + 81 - 537, 226 = i - 4*w. What is the tens digit of i? 3 Let g(m) = m**3 - 2*m**2 - m - 4. What is the units digit of g(3)? 2 Suppose 2 = 5*w + 22. Let n = -4 - w. Suppose n = -2*f + 12. What is the units digit of f? 6 Let o(v) = -v + 8. Let f be o(7). Let n be 4 + -5 + f*5. Let w = n + 2. What is the units digit of w? 6 Let l = 6 - 9. Let q be l/(9/(-6)) - -2. Suppose 3*y = -5*w + 57, q*y + 3*w = 5*y - 5. What is the tens digit of y? 1 Let t(g) = -5*g + 3. Let w be t(-4). Let b = -5 + w. What is the units digit of b? 8 Let w be 122/5 - 6/(-10). Let i = w + -14. What is the tens digit of i? 1 Let c(p) = -7*p + 2. Let k(g) = -g. Let d(o) = -c(o) + 6*k(o). Let w be d(3). Suppose -5*u = x + w, 5*x - 4*u - 24 = -0*x. What is the units digit of x? 4 What is the units digit of (2/(-5))/((-11)/660)? 4 Let k(n) = -n**3 - 3*n**2 - n - 3. What is the tens digit of k(-6)? 1 Let n(h) = 2*h + 11. What is the units digit of n(5)? 1 Suppose -4*w - c + 71 = 0, 3*c - 5*c + 70 = 4*w. What is the tens digit of w? 1 Let v = 81 - 46. What is the tens digit of v? 3 Let m(j) = j**3 - 3*j**2 - 2*j + 5. What is the tens digit of m(6)? 0 Let m(z) be the first derivative of 3*z**4/4 - 2*z**3/3 + z**2/2 + 2*z - 2. What is the tens digit of m(2)? 2 Let c(j) = -3*j**3 - 4. Let z(l) = -2*l**3 - 4. Let x(p) = 3*c(p) - 4*z(p). What is the units digit of x(0)? 4 Let v(d) = -3*d + 15. What is the units digit of v(-17)? 6 Let p = -192 - -329. Let z be 2/9 - p/9. What is the tens digit of (-56)/10*z/6? 1 Let t = -62 + 87. What is the units digit of t? 5 Suppose 2*l + 13 = 3*v, -3*l - 2*v = -8*l - 5. Let m(d) = 15*d**2 + 1. Let x be m(l). Let o = x + 1. What is the units digit of o? 7 What is the tens digit of 4/(-3) + 5775/99? 5 Suppose 2*h = 3*k + 20, -2*h = k - 18 - 18. What is the tens digit of h? 1 Let o(p) = p**2 + 4*p - 16. What is the units d
{ "pile_set_name": "DM Mathematics" }
he units digit of 32/(-2)*z/(-2)? 8 Let r = -18 + 27. What is the units digit of r? 9 Let t = -51 - -105. What is the units digit of t? 4 Let l(q) = 21 - 12 + q - 10. What is the units digit of l(4)? 3 Let n be (4 + -1)/(1/1). Suppose n*t + 4*o = 2*t - 15, t + 3*o = -11. Suppose -t = -2*s + 19. What is the tens digit of s? 1 Let n(s) = 10 + 2*s - s + s**3 + 0. Let l = 20 - 20. What is the tens digit of n(l)? 1 What is the tens digit of 103/4 + (-1)/(-4)? 2 Let v(i) = -4*i + 12. Let a be v(7). Let l = 26 - a. What is the tens digit of l? 4 Let b(p) = -p - 1. Let w(q) = 2*q**2 + 13*q - 2. Let k(u) = 3*b(u) + w(u). What is the tens digit of k(-8)? 4 Let c(l) = -l**3 + 12 + l - 3 - 2*l - 3*l - 7*l**2. What is the units digit of c(-7)? 7 Suppose 20*w + 234 = 23*w. What is the tens digit of w? 7 Let n(x) = -x. Let i be n(-2). Suppose i*v - 4*v + 14 = 2*u, 2*u = -3*v + 18. What is the units digit of v? 4 Suppose -4*f + 0*f = 0. What is the tens digit of 11 - (3 + -6 - f)? 1 Let i(v) = -v**2 - 12*v + 12. Let f be i(-10). Suppose -4*p - 12 = -f. Suppose -1 = -2*d + p*y, d + 3*d - 7 = 5*y. What is the units digit of d? 3 Suppose 0 = -4*x + 3*x + 52. What is the tens digit of x? 5 Let f(s) be the first derivative of s**2/2 + 2*s + 1. Let a be (4/(-10))/(1/(-15)). What is the units digit of f(a)? 8 Suppose -5*s + 2*q + 3 - 13 = 0, 0 = 3*s - q + 5. Suppose u + 3*u = s. Suppose d - 22 = -5*j, -d + u*j = -4*j - 4. What is the tens digit of d? 1 Suppose -2*p + 16 = 2*p. Let y(n) = n**3 - 5*n**2 + 6*n - 1. What is the units digit of y(p)? 7 Let f(l) be the first derivative of -l**3/6 + 5*l**2 - 4*l - 2. Let b(y) be the first derivative of f(y). What is the units digit of b(9)? 1 Suppose 4*g = 162 + 174. What is the units digit of g? 4 Let k(o) = 2*o**2 - 8*o - 13. Let q(i) = i**2 - 4*i - 6. Let g(x) = -4*k(x) + 9*q(x). Let j be g(5). Let r = 5 - j. What is the units digit of r? 2 Let z be (3/(-3))/(1/(-4)). Let d(w) = 4*w - 5. What is the units digit of d(z)? 1 Let c be -5 + 4 + (-6)/(-1). Let a(y) = -y**3 + 7*y**2 - 8*y + 6. What is the units digit of a(c)? 6 Suppose -18 = m + 2*m - d, 5*d + 43 = -4*m. Let t(v) = v**2 + 6*v + 2. What is the units digit of t(m)? 9 What is the units digit of 68*(0 + 0 - -2)? 6 Suppose -6*d + 10*d - 64 = 0. What is the units digit of d? 6 Let b be 4/6*(-75)/(-10). Suppose -b*s - 2 = -5*x + 2*x, 5*s = x + 6. Let z = 14 - x. What is the units digit of z? 0 Let y = -172 - -242. What is the units digit of y? 0 Let t(y) = y**2 - y + 9. Let o = -3 - -5. Suppose 0 = d + o*d. What is the units digit of t(d)? 9 Let i = -21 - -26. Suppose 4*f - 140 = -5*d, 140 = i*d + 3*f - 0*f. What is the units digit of d? 8 Let j(l) = l**3 + 9*l**2 + 8*l + 3. What is the tens digit of j(-7)? 4 Suppose -35 = c - 2*c. What is the tens digit of c? 3 Let u(r) = -r**3 + 5*r**2 + 6*r + 3. Let i be ((-2)/(-6))/((-3)/(-54)). What is the units digit of u(i)? 3 Let y(m) be the first derivative of -m**3/3 - 5*m**2/2 + 3*m - 1. Let a be y(-5). Suppose a*d = l + 7, -14 + 2 = l - 4*d. What is the units digit of l? 8 Suppose y + 0*y - 10 = 0. Suppose 5*t - 6 = z, -t = -4*t - z + y. Suppose -4*l + t*l = -36. What is the tens digit of l? 1 Let c = 2 + -2. Suppose 0*d + 3*s = d - 36, d + s - 20 = c. What is the units digit of d? 4 Suppose 11*b = 8*b + 111. What is the units digit of b? 7 Suppose -6 = -2*h + 2. What is the units digit of -2 - -7 - h/2? 3 What is the units digit of -7 - -6 - (-106)/2? 2 Let i(m) = -m**2 + 2. Let l be i(0). Suppose -4*f + 85 = o, f + l*o = 2*f - 10. What is the units digit of f? 0 Suppose q + 4*l = 6, 0*q - 5*q = -4*l - 6. Let u = -12 + 41. Suppose 3*f - 4*b = b + u, 5*f - q*b = 42. What is the units digit of f? 8 Let r(j) = -35*j + 11. What is the tens digit of r(-2)? 8 Let k(h) = -h + 7. Let v be k(5). Suppose 0 = v*o - 3*o + 8. What is the units digit of o? 8 Let y(h) = 3*h**3 - 2*h**2 - 4*h - 3. Let t(p) = -7*p**3 + 4*p**2 + 9*p + 7. Let a(j) = -2*t(j) - 5*y(j). What is the units digit of a(-1)? 2 What is the tens digit of (9/(-9))/(95/(-94) + 1)? 9 Suppose 4 = 4*j - 2*j, 0 = -q + 3*j + 4. Suppose 3*t - u - 24 = 0, -4*t + 22 = -4*u - q. What is the units digit of t? 8 What is the units digit of 0/2 + 1 + 102? 3 Let n = 9 + -1. Suppose 2*z = 3*z. Suppose v + 3*v - n = z. What is the units digit of v? 2 Let j = -1 - -10. What is the units digit of j? 9 Let l = -4 + 10. What is the units digit of l? 6 Suppose -4*n = 5*h - 539, 4*n + 2*h - 3*h = 569. What is the hundreds digit of n? 1 Let w(t) = t**3 - 9*t**2 + 4*t - 3. Let a be w(8). Let r = a + 74. What is the tens digit of (2/(-3))/((-2)/r)? 1 Let j(h) = h - 1. Let s(m) = -m**3 + 7*m**2 - 3*m + 7. Let q(n) = j(n) - s(n). What is the tens digit of q(7)? 2 Let m be (7 - 5)/(1 - -1). Let d(i) = 3*i + 12*i**2 + 0 + 1 + 0*i - 4*i. What is the tens digit of d(m)? 1 Let y(h) = h**2 - 4*h + 3. Let r be y(5). Let t(w) = w**3 - 7*w**2 - 9*w + 6. Let b be t(r). Let c = b + 3. What is the units digit of c? 1 Let y(m) = m**2 + 7*m - 5. Let c be y(-8). Suppose c*v - 2*v = 4. Let w = v + 2. What is the units digit of w? 6 Suppose 5*n = 2*n + 9. Suppose 38 = 2*h - 4*c, -h + n*c = -c - 27. What is the tens digit of h? 1 Suppose -119 = -4*j - 67. What is the units digit of j? 3 Suppose 0 = -3*n - n - 4*j + 144, -5*n - j = -176. What is the tens digit of n? 3 Suppose -3*d = 6, -212 = -2*k - 6*d + 3*d. What is the hundreds digit of k? 1 Let b be ((-18)/30)/(2/(-10)). Suppose -13 + 37 = b*q. What is the units digit of q? 8 Let m(r) = 2*r**2 + r + 3. What is the units digit of m(-5)? 8 Let c(v) = 2*v**3 - 3*v**2 - v - 1. What is the units digit of c(3)? 3 Let l be ((-9)/6)/(2/4). What is the units digit of ((-9)/(-15))/(l/(-75))? 5 Suppose 25 = -6*w + w. Suppose 4*y - 18 = -2*x, 3*y + 5*x - 9 = 15. Let t = y - w. What is the units digit of t? 8 Suppose 0 = -v - 3*l - 1, 0*v + 1 = 2*v + 3*l. Let w = v - 2. Suppose w = 2*n - 6*n + 16. What is the units digit of n? 4 Suppose 5*j + u = 5*u + 12, 0 = -2*j - u - 3. Suppose -1 = -r - j. What is the units digit of (12 - r) + -1 + -2? 8 Let s(u) = u**3 + 4*u**2 + u - 4. Let d(h) = h**2 - 9*h - 4. Let y be d(9). Let b be s(y). Let g = b - -14. What is the units digit of g? 6 Suppose 4*g + 36 = -2*l, 4*l + 8*g - 3*g = -69. Let v(t) = -t**3 + 17*t**2 + 15*t + 19. Let u be v(18). Let q = l - u. What is the units digit of q? 9 Suppose 0 = -2*s - 5*h + 33, s = -0*s + 3*h. What is the units digit of s? 9 Suppose 31 = 2*o - 2*z + 7*z, -2*o + 5*z - 19 = 0. Suppose -o*m = -6*m + 42. What is the units digit of 108/m + 6/21? 8 Suppose -4*b + 3*b = -4*l + 17, 3*b - 2*l = -1. Suppose b*m + 48 = -m. What is the units digit of 1*(m/(-3) + 0)? 4 Suppose 2*m = -2*r + 608, -5*r - 25 = -0. What is the hundreds digit of m? 3 What is the units digit of 0 - (0 + 1 + -3)? 2 What is the units digit of -6*76/(-16)*2? 7 Let j(c) = -c**3 + 3*c**2 + 5*c. What is the units digit of j(4)? 4 Suppose -s + 5 = -4*j, 7*s - 25 = -2*j + 2*s. Let t = -12 - -18. Suppose b + j*b = t. What is the units digit of b? 6 What is the units digit of -1 - 3 - -3 - -36? 5 What is the tens digit of 24/156 + 3896/26? 5 Suppose -8*f + 304 - 48 = 0. What is the tens digit of f? 3 Let u = 15 - -15. What is the units digit of 48/(-10)*u/(-9)? 6 Let k = -13 + 11. What is the tens digit of (20*k)/(6/(-3))? 2 Let i(c) = -c**3 + 3*c + 2. Let w be i(-3). Suppose 21*v - 17*v - 28 = 0. Let j = w - v. What is the tens digit of j? 1 Suppose 0 = 4*t + 1 - 33. Suppose -6*z - 24 = -4*z. Let k = t - z. What is the units digit of k? 0 Let t(c) = c**3 + 9*c**2 + 5*c - 13. What is the units digit of t(-8)? 1 Suppose 0 = o - 5*j + 10 + 10, 3*o - 3*j = 0. Suppose 0*w - 5*f = -w + 24, o*w - f = 96. Let g = -10 + w. What is the units digit of g? 9 Let s be 12/15*(-285)/(-6). Let m = 55 - s. Suppose -5*z + 2*c = -m, -5*z + 8*c = 3*c - 20. What is the units digit of z? 3 Let m(l) = -l**2 + 4*l - 1. Let y be m(3). Let s(a) = a**3 + a**2 - 4*a + 3. What is the units digit of s(y)? 7 Let a(x) = -x**2 - 21*x - 6. Let o(p) = p**2 + 20*p + 6. Let d(b) = -4*a(b) - 5*o(b). What is the tens digit of d(-14)? 2 Let w = 11 - -29. What is the tens digit of w? 4 What is the tens digit of (61/(-3))/(3/(-9))? 6 Let l(c) = -c**3 + 7*c**2 + 4*c - 4. Let d
{ "pile_set_name": "DM Mathematics" }
3 times 0.0411? -0.01233 2 * 0.15 0.3 Product of -0.053 and -0.2. 0.0106 -2.86*0.1 -0.286 -0.07 * -50 3.5 0.02 * 0.25 0.005 -6656 times -0.5 3328 0 times 20 0 452*0.2 90.4 What is the product of 0.013 and 0.06? 0.00078 What is the product of -0.12 and 247? -29.64 -30*0.58 -17.4 0.026 times 0.012 0.000312 -0.04 times -29 1.16 -0.1*0.74 -0.074 Calculate 5*-349.3. -1746.5 Work out 4 * -6.55. -26.2 0.122 * -0.3 -0.0366 2.2 times -2 -4.4 Multiply -3.3 and -33. 108.9 0.1*0.061 0.0061 Multiply -63.98 and -3. 191.94 Work out 2871 * 9. 25839 Calculate 63*10. 630 -3 * 0.0571 -0.1713 What is the product of 0.65 and -0.19? -0.1235 What is the product of 68 and -0.1? -6.8 Calculate 0.3*0.69. 0.207 Multiply -1 and 25. -25 Work out -19306 * 0. 0 -46.3 * 0.4 -18.52 3 * 28.1 84.3 1 times -51 -51 Multiply -3 and -39.1. 117.3 What is the product of 0.2 and -292? -58.4 What is -0.12 times -5? 0.6 What is -1069 times 0.4? -427.6 What is the product of 1 and 562? 562 What is -0.5 times 25.09? -12.545 Multiply -0.193 and -2. 0.386 21658*-3 -64974 Work out -25 * -28. 700 Work out -5 * 152. -760 -7 times -11.5 80.5 -1.75*1.6 -2.8 -25.8 times -0.2 5.16 Work out -4 * -0.115. 0.46 -0.3 times -3.6 1.08 Product of -66.5 and 0.4. -26.6 -58.9*-0.4 23.56 Work out 0.3 * 7.6. 2.28 -59 times -0.2 11.8 What is -458 times 19? -8702 Multiply 69 and 26. 1794 24 * 2.19 52.56 What is the product of -1140 and 13? -14820 Product of -354 and -0.01. 3.54 Multiply -8 and 0.49. -3.92 4*-0.5926 -2.3704 5*-587 -2935 3 times -922 -2766 -4 * -39.9 159.6 -24.9 times 0.4 -9.96 4 times -8739 -34956 Calculate -0.4*40. -16 Work out -38.2 * -2. 76.4 0.72 * -5 -3.6 -4 * 80 -320 Multiply 724 and -0.5. -362 Work out 0.2 * -70.8. -14.16 -0.1*-1.4 0.14 303 times -5 -1515 What is the product of 0.3 and 895? 268.5 Product of 0.4 and -2. -0.8 -60 * 0.044 -2.64 Multiply 0.22 and -0.613. -0.13486 What is the product of -0.1 and 117? -11.7 Product of -275 and 0.05. -13.75 What is -0.4 times 279? -111.6 What is the product of 15719 and 3? 47157 1711*-3 -5133 3 times -192 -576 Work out -6138 * 4. -24552 Multiply 12 and -43. -516 Work out -0.01 * -59. 0.59 What is the product of 2.35 and 0.3? 0.705 What is the product of -757 and 5? -3785 Calculate 35.1*-0.5. -17.55 Work out -18.7 * -0.4. 7.48 What is 5 times -0.3? -1.5 What is 5 times 151.8? 759 Work out -11 * 442. -4862 Work out -0.2 * -0.1673. 0.03346 Product of -0.07 and -679. 47.53 66 * 2.09 137.94 -7*7.15 -50.05 What is -1.4 times -3? 4.2 Work out -22 * 9. -198 -1*-0.4 0.4 -2*-1548 3096 46380*-0.2 -9276 What is 1 times -1801? -1801 Calculate -66*0. 0 0.048 * -2 -0.096 -14301*2 -28602 Product of -25 and 17. -425 -0.668 times 4 -2.672 3.88 * 0.5 1.94 0.09 times -271 -24.39 Work out 0.04 * -23. -0.92 What is the product of 4.7 and -180? -846 What is -0.04 times -1.01? 0.0404 What is 0.041 times 2.7? 0.1107 What is 1 times 104? 104 -2.1*110 -231 -12.9 * -1 12.9 Calculate 63*-1. -63 What is -0.16 times -5.3? 0.848 What is 1.064 times -0.11? -0.11704 -1*1.48 -1.48 What is the product of 52 and -5? -260 What is the product of 21 and -0.1? -2.1 0.276 * -19 -5.244 Work out 0.105 * -0.2. -0.021 What is 14 times 0.033? 0.462 3*-376 -1128 What is the product of 2.67 and 0.3? 0.801 -0.2 times -45 9 226 * 113 25538 What is -15 times -0.9? 13.5 Multiply -0.3 and -12.99. 3.897 What is the product of -543 and 0.2? -108.6 What is the product of -1 and 31? -31 What is the product of -3.039 and 3? -9.117 What is the product of -0.3 and -458? 137.4 What is -3621 times -0.1? 362.1 -19.76 times -1.5 29.64 Product of -3 and 50. -150 -0.3*14.7 -4.41 Calculate 0.066*0.03. 0.00198 -1.93 times -4 7.72 Multiply -5 and 1094. -5470 What is -0.09 times -126? 11.34 4 * 3.3 13.2 -0.4 times -174 69.6 Product of -3 and -4135. 12405 Product of -0.054 and -2. 0.108 Calculate 5*-0.35. -1.75 Work out -10180 * -0.5. 5090 60 * -0.3 -18 -19*0.4 -7.6 What is the product of -0.141 and -5? 0.705 Multiply -105 and 0. 0 Calculate 0*-0.052. 0 -1.2*49 -58.8 -2078 times -4 8312 What is 0.5 times 305? 152.5 What is the product of -0.87 and 0.18? -0.1566 Work out -0.2 * 14.25. -2.85 2.04 times -0.2 -0.408 Work out 2384 * 0.11. 262.24 What is the product of -42.5 and 0? 0 Product of 4 and -1570. -6280 -0.0299*11 -0.3289 -450 * 0.11 -49.5 Multiply -0.61 and 7.8. -4.758 Work out 46 * -0.1. -4.6 Calculate 23.9*2. 47.8 What is 1837 times -1? -1837 What is the product of -1.71 and -1? 1.71 Work out 0.4 * 5.26. 2.104 What is the product of 0.21 and 15.23? 3.1983 -1027 * 0.5 -513.5 Calculate -0.4*2.177. -0.8708 What is the product of 0 and -6.5? 0 Calculate -49*-7. 343 What is the product of 4 and -61? -244 What is -6 times 1.08? -6.48 What is the product of -0.3 and -3005? 901.5 0.25 * -13 -3.25 20.9 * -1 -20.9 -0.1 times 0.36 -0.036 0.049 * 4 0.196 -27.76*0.4 -11.104 3.2*36 115.2 Multiply 0.007 and -0.03. -0.00021 Work out 9.26 * -0.03. -0.2778 Product of -0.124 and 6. -0.744 -0.1*-56 5.6 Work out 0.4 * -0.074. -0.0296 What is the product of 4.746 and -3? -14.238 0.4 * 19 7.6 What is -639 times -1? 639 What is 5 times -8.1? -40.5 Calculate -2*-0.277. 0.554 What is -667.8 times 5? -3339 -743*-6 4458 Calculate -3.3*4.8. -15.84 7.3 * -1.3 -9.49 Product of -0.1 and -63. 6.3 What is the product of -4 and -2.3? 9.2 What is the product of 3.7 and -0.3? -1.11 What is 4 times 3.68? 14.72 Calculate 175*1.8. 315 -1*-1163 1163 Calculate -0.4*61.48. -24.592 -0.3*-0.28 0.084 What is the product of 0.017 and -2? -0.034 What is -3 times -8.3? 24.9 1.13 * 24 27.12 Work out -0.1 * 122. -12.2 What is the product of 0.159 and -12? -1.908 558 * 0.2 111.6 -0.12*-0.95 0.114 What is the product of 0.30618 and 1? 0.30618 Multiply -2.4 and -38. 91.2 -0.05 * 0.057 -0.00285 What is -0.2 times 122? -24.4 -3 * 63 -189 -0.4*-0.094 0.0376 Calculate 3554*0.5. 1777 210.3*0.5 105.15 13*0.03 0.39 206*-0.4 -82.4 Multiply 91 and -0.5. -45.5 What is the product of -0.3 and -97? 29.1 Calculate -74*-0.3. 22.2 Multiply 0.089 and -0.3. -0.0267 Product of 38 and 0. 0 0.084*0.11 0.00924 47*-6 -282 -0.1*0.046 -0.0046 What is -0.11 times -0.9? 0.099 Work out -2 * -21.7. 43.4 Product of -5 and -0.03. 0.15 What is -0.3 times 103? -30.9 0.74*0.05 0.037 Work out 0.3 * 0.7. 0.21 0.219 * 0.04 0.00876 What is 1372.5 times -0.4? -549 What is -31 times -3? 93 -0.5 * -39 19.5 Calculate -160*0. 0 Work out -1273 * 2. -2546 Work out -12 * 0.2. -2.4 What is 14.8 times -0.05? -0.74 -277*0.2 -55.4 What is the product of 0.3 and -360? -108 Product of -0.2 and -35.2. 7.04 Calculate -1.3*151.9. -197.47 -3 * -0.63 1.89 What is 125 times 21? 2625 Multiply -18.6 and 0.3. -5.58 -0.085*0.4 -0.034 Work out -1 * 30. -30 What is the product of 2031 and -4? -8124 -0.09*18 -1.62 What is -0.4 times -338? 135.2 672*18 12096 5 * 5.7 28.5 Product of -0.3 and 26.35. -7.905 Work out 767 * -10. -7670 What is -0.06 times 12.7? -0.762 Calculate -10.6*3. -31.8 Multiply -0.07036 and -0.3. 0.021108 Work out 5 * 155. 775 Work out 0.19 * -0.034. -0.00646 What is the product of -1084 and 3? -3252 Multiply -4.6 and -0.3. 1.38 0.1966 times -3 -0.5898 What is 5.5 times 0.3? 1.65 What is -11618 times 0.3? -3485.4 Calculate 0.254*2. 0.508 What is -1.56 times 0.5? -0.78 Multiply -33.2 and -0.2. 6.64 -14.93 * -4 59.72 What is the product of -0.1 and 0.06? -0.006 0.1*0.3727 0.03727 What is -24 times -0.4? 9.6 Product of -162 and -1.28. 207.36 Calculate 625*0. 0 Calculate 0.5*-0.8. -0.4 -13*-595 7735 What is the product of -0.5 and -36.7? 18.35 Work out -9.32 * -5. 46.6 0.4 times -61 -24.4 What is the product of 0.5 and -491? -245.5 0.6*8 4.8 What is -0.21 times -437? 91.77 -18.5*-8 148 Multiply 28 and 15.6. 436.8 What is the product of 0.0688 and 1.5? 0.1032 -40 * -39 1560 Calculate 3.62*0. 0 Calculate -0.0873*0.4. -0.03492 What is the product of 0.2 and -138? -27.6 Work out -0.1 * -226. 22.6 0.3 * 80 24 Work out -0.237 * 0.5. -0.1185 Calculate 22.75*0.2. 4.55 -530 * 2 -1060 Work out -2062 * 0.1. -206.2 Work out 5 * -0.033. -0.165 Multiply 1.108 and 0.01. 0.01108 Work out 0.1 * 0.09. 0.009 Multiply 21 and -3.7. -77.7 Calculate -0.8*169.6. -135.68 Product of -1 and -0.2786. 0.2786 Multiply -7168 and -4. 28672 -5*-0.75 3.75 What is the product of -50 and -0.013? 0.65 -1.88*5 -9.4 Multiply -0.2 and 3182. -636.4
{ "pile_set_name": "DM Mathematics" }
340 Round -0.0010993988 to 4 dps. -0.0011 What is 15676.9 rounded to the nearest 1000? 16000 What is 0.000000685519 rounded to seven dps? 0.0000007 What is -22195990 rounded to the nearest 10000? -22200000 What is -7.71834 rounded to 1 dp? -7.7 What is 0.0000376062 rounded to 5 decimal places? 0.00004 What is 410.053 rounded to the nearest 100? 400 What is 6.41279 rounded to one decimal place? 6.4 What is 121592 rounded to the nearest 100000? 100000 What is -4.14394 rounded to 1 dp? -4.1 Round -0.000001662935 to six dps. -0.000002 What is 0.00000209975 rounded to seven decimal places? 0.0000021 Round 4.88292 to one decimal place. 4.9 Round -2161640 to the nearest 10000. -2160000 What is 10404.6386 rounded to 0 decimal places? 10405 What is 69.09312 rounded to the nearest 10? 70 Round 21689.819 to the nearest integer. 21690 What is -0.000342068 rounded to five dps? -0.00034 What is -0.000979068 rounded to four decimal places? -0.001 Round -2051228.8 to the nearest one hundred thousand. -2100000 Round 0.0004745624 to 6 decimal places. 0.000475 What is -15982770 rounded to the nearest one million? -16000000 Round -0.000008368544 to 6 decimal places. -0.000008 Round 0.018678074 to five dps. 0.01868 What is -0.026530096 rounded to four decimal places? -0.0265 What is 0.000003719893 rounded to seven dps? 0.0000037 Round -0.000005298734 to 7 dps. -0.0000053 What is -0.0000023835 rounded to 7 decimal places? -0.0000024 What is -7389.6228 rounded to 0 dps? -7390 Round -353575400 to the nearest one million. -354000000 Round -225.45429 to the nearest integer. -225 Round -21692260 to the nearest 100000. -21700000 Round 86.4307 to 1 dp. 86.4 Round -315.1894 to the nearest ten. -320 What is -0.05613766 rounded to three dps? -0.056 What is 0.000003094606 rounded to six dps? 0.000003 Round -1662800 to the nearest one hundred thousand. -1700000 What is 0.00106754 rounded to four dps? 0.0011 Round 0.32734447 to 2 dps. 0.33 What is 65.3435 rounded to zero dps? 65 Round 10929970 to the nearest 1000000. 11000000 What is 0.0823857 rounded to four dps? 0.0824 Round -0.0011698896 to 6 decimal places. -0.00117 Round -0.08321213 to three decimal places. -0.083 Round 0.0000399289 to 6 decimal places. 0.00004 What is -7136.7814 rounded to the nearest one thousand? -7000 Round -45097.4 to the nearest 10000. -50000 Round -0.000001489807 to seven dps. -0.0000015 What is 4603.746 rounded to the nearest ten? 4600 Round 144.4557 to 0 decimal places. 144 What is -10533860 rounded to the nearest 10000? -10530000 What is -232589 rounded to the nearest one thousand? -233000 Round 0.0548341 to three decimal places. 0.055 Round -460798 to the nearest one thousand. -461000 Round -2387050 to the nearest 10000. -2390000 What is 33.7172 rounded to 1 dp? 33.7 Round 0.0002095513 to 6 dps. 0.00021 Round 27.453901 to zero decimal places. 27 What is 0.1654515 rounded to three decimal places? 0.165 What is 0.00030844 rounded to 4 dps? 0.0003 What is 2751317800 rounded to the nearest one million? 2751000000 What is 21880.45 rounded to the nearest 10000? 20000 What is 0.00000772936 rounded to six decimal places? 0.000008 What is -5140058.3 rounded to the nearest one hundred thousand? -5100000 What is 159525.32 rounded to the nearest one hundred? 159500 Round 0.0000187247 to six decimal places. 0.000019 Round -79.495 to the nearest ten. -80 Round -0.0201001 to four decimal places. -0.0201 Round -0.0000020586 to 7 dps. -0.0000021 What is 1262944.36 rounded to the nearest 10000? 1260000 What is -12.972939 rounded to 2 decimal places? -12.97 What is -148.51 rounded to zero dps? -149 What is 0.0001926305 rounded to four dps? 0.0002 What is -13.57768 rounded to 1 decimal place? -13.6 Round 71647.5 to the nearest one thousand. 72000 What is 335266.73 rounded to the nearest 1000? 335000 What is 0.00116746 rounded to three decimal places? 0.001 Round 12.02261 to one decimal place. 12 Round 0.007126371 to 3 dps. 0.007 Round 0.00015326984 to seven decimal places. 0.0001533 What is 0.00345704 rounded to four dps? 0.0035 Round -0.000000097137 to 7 decimal places. -0.0000001 Round 0.018760718 to 5 dps. 0.01876 Round 0.0129529 to 4 dps. 0.013 Round -0.0014179045 to 5 dps. -0.00142 What is -4.547744 rounded to two dps? -4.55 What is -0.01502741 rounded to 5 decimal places? -0.01503 Round -0.0013451816 to 6 dps. -0.001345 Round 0.00017295127 to 7 decimal places. 0.000173 What is -57605.78 rounded to the nearest ten thousand? -60000 Round 59370200 to the nearest one million. 59000000 What is 1575.7 rounded to the nearest one thousand? 2000 What is -123314.2 rounded to the nearest 10000? -120000 Round -72.24406 to 1 dp. -72.2 Round 43542100 to the nearest 1000000. 44000000 Round -0.00111929 to five decimal places. -0.00112 Round -960732 to the nearest 100000. -1000000 What is 1.644521 rounded to two dps? 1.64 Round 24.90882 to one dp. 24.9 What is -9298700 rounded to the nearest one hundred thousand? -9300000 Round -1536.76 to the nearest 10. -1540 Round -49919 to the nearest one thousand. -50000 Round -4005500 to the nearest one hundred thousand. -4000000 What is -0.00063335347 rounded to five decimal places? -0.00063 What is 1066401.1 rounded to the nearest ten thousand? 1070000 What is 0.00006877305 rounded to six decimal places? 0.000069 Round 36.719871 to one dp. 36.7 What is -0.1310119 rounded to 2 decimal places? -0.13 What is 28724189 rounded to the nearest 1000000? 29000000 What is 0.0404865 rounded to 2 dps? 0.04 Round 11831.1 to the nearest 1000. 12000 Round 33512.056 to the nearest 1000. 34000 Round -0.04503664 to three dps. -0.045 Round 0.0041224083 to six dps. 0.004122 What is -159201000 rounded to the nearest 100000? -159200000 What is 0.03627598 rounded to four dps? 0.0363 Round 1889.652 to the nearest 1000. 2000 What is 3322637 rounded to the nearest one thousand? 3323000 What is 1885.389 rounded to the nearest integer? 1885 Round 4.785165 to two dps. 4.79 Round -0.0030005 to three decimal places. -0.003 Round -168.9026 to 1 decimal place. -168.9 What is -0.5619542 rounded to one dp? -0.6 Round -186546.88 to the nearest ten thousand. -190000 What is 459141.9 rounded to the nearest one thousand? 459000 What is 0.00661855 rounded to four dps? 0.0066 Round -0.02815401 to three dps. -0.028 Round 0.00120622 to 4 decimal places. 0.0012 What is -0.00154721 rounded to 3 decimal places? -0.002 Round 102502840 to the nearest 100000. 102500000 What is 0.000003443606 rounded to six decimal places? 0.000003 What is -0.0000350911 rounded to 6 dps? -0.000035 What is 0.05035867 rounded to three dps? 0.05 Round 0.0007068799 to 5 decimal places. 0.00071 Round -0.00017241 to two decimal places. 0 What is 2199637 rounded to the nearest ten thousand? 2200000 What is 0.0048953 rounded to 4 dps? 0.0049 Round -4417666.5 to the nearest 100000. -4400000 What is 143.88187 rounded to 1 dp? 143.9 Round 0.0047988429 to 6 decimal places. 0.004799 What is -0.00005554247 rounded to 6 dps? -0.000056 Round 0.00008538616 to 7 dps. 0.0000854 Round -4.89555 to 1 decimal place. -4.9 What is 0.00577156 rounded to four dps? 0.0058 Round -0.0001399 to two dps. 0 Round -60470.1 to the nearest one thousand. -60000 What is 39.9691 rounded to one decimal place? 40 Round 4.88675 to two decimal places. 4.89 What is 245.2123 rounded to 1 decimal place? 245.2 Round 0.928941 to 1 decimal place. 0.9 What is 0.00163312 rounded to three decimal places? 0.002 What is 24689.47 rounded to the nearest one thousand? 25000 Round -0.00028572 to five dps. -0.00029 What is -2.557844 rounded to 2 dps? -2.56 Round -0.001749413 to six dps. -0.001749 What is -0.068673 rounded to three decimal places? -0.069 Round 680.358 to the nearest ten. 680 Round 0.01480966 to three dps. 0.015 What is -11769100 rounded to the nearest one million? -12000000 Round -507.7181 to the nearest ten. -510 Round -0.0000000038955 to 7 decimal places. 0 What is 65355940 rounded to the nearest 10000? 65360000 Round 0.00000445238 to 6 dps. 0.000004 Round -5.3063913 to two dps. -5.31 Round -0.056019 to two dps. -0.06 What is -287.331 rounded to the nearest 10? -290 What is -83059800 rounded to the nearest 100000? -83100000 What is 5539930900 rounded to the nearest 1000000? 5540000000
{ "pile_set_name": "DM Mathematics" }
0338 What is next in -35, -425, -1557, -3803, -7535, -13125, -20945? -31367 What is next in -303, -1214, -2719, -4818, -7511, -10798, -14679? -19154 What is the next term in -16497, -32973, -49449, -65925, -82401? -98877 What is the next term in 125, 112, 95, 74, 49, 20, -13? -50 What is the next term in 2946193, 2946194, 2946195, 2946196? 2946197 What is next in -560, -696, -902, -1214, -1668? -2300 What is next in 26, 73, 152, 263, 406, 581, 788? 1027 What is the next term in 24, 152, 382, 714, 1148, 1684? 2322 What is next in 28515, 56890, 85267, 113646, 142027, 170410, 198795? 227182 What is the next term in 4023, 7922, 11819, 15714, 19607, 23498? 27387 What comes next: -787, -2967, -6595, -11665, -18171, -26107, -35467, -46245? -58435 What is next in 2383, 1038, -1203, -4340, -8373? -13302 What comes next: -1691, -3454, -5217, -6980, -8743? -10506 What comes next: 13786, 27600, 41474, 55414, 69426, 83516, 97690, 111954? 126314 What comes next: 74, 475, 1140, 2063, 3238, 4659? 6320 What is next in 23110, 23105, 23098, 23089, 23078, 23065, 23050? 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135 What is the next term in -1029, -948, -863, -774, -681, -584, -483? -378 What is next in 1523447, 3046896, 4570345, 6093794? 7617243 What comes next: 9382, 18765, 28148, 37531? 46914 What is next in -2146, -4281, -6416, -8551? -10686 What comes next: -9124, -36500, -82126, -146002, -228128, -328504, -447130? -584006 What comes next: 41999, 83976, 125953, 167930? 209907 What is the next term in -230, -243, -246, -239? -222 What is the next term in 4431, 4414, 4397? 4380 What is next in -1056, -3864, -8424, -14736, -22800, -32616? -44184 What comes next: 1901, 3821, 5735, 7637, 9521? 11381 What is the next term in 14, 46, 116, 242, 442, 734? 1136 What is next in -992, -988, -990, -1004, -1036, -1092, -1178, -1300? -1464 What is next in 68424, 273700, 615826, 1094802? 1710628 What is the next term in -150527, -150549, -150583, -150635, -150711, -150817? -150959 What comes next: -7880, -15760, -23626, -31472, -39292, -47080? -54830 What comes next: -10, -19, -34, -55, -82, -115, -154? -199 What comes next: 1705, 6879, 15509, 27601, 43161? 62195 What is the next term in -1792, -1766, -1692, -1546, -1304, -942, -436? 238 What is the next term in -159, -570, -1241, -2172? -3363 What is next in -1820, -14573, -49204, -116651, -227852? -393745 What comes next: 24465, 48933, 73401, 97869, 122337, 146805? 171273 What is the next term in 167096, 167097, 167098? 167099 What is next in 605, 1300, 1997, 2696, 3397, 4100? 4805 What is the next term in 118, 228, 442, 784, 1278, 1948? 2818 What comes next: 704937, 704936, 704933, 704928? 704921 What is the next term in -749, -2852, -6349, -11234, -17501? -25144 What is the next term in -1187, -1180, -1169, -1154, -1135? -1112 What is the next term in 1798, 1731, 1664, 1597, 1530, 1463? 1396 What is next in 28021, 56045, 84069, 112093, 140117, 168141? 196165 What comes next: 142202, 142197, 142190, 142181, 142170? 142157 What comes next: 2128, 17130, 57850, 137146, 267876, 462898, 735070? 1097250 What comes next: -302, -547, -842, -1187, -1582, -2027? -2522 What comes next: -6, -197, -744, -1827, -3626, -6321? -10092 What is next in 236, 54, -446, -1426, -3048? -5474 What comes next: -1623, -3275, -4945, -6633, -8339, -10063? -11805 What is next in -168, -285, -304, -171, 168, 767, 1680, 2961? 4664 What is the next term in -42803, -85608, -128413, -171218? -214023 What is next in 117073, 468287, 1053643, 1873141, 2926781? 4214563 What is next in 16442, 16441, 16438, 16433, 16426? 16417 What is next in 6297, 25215, 56743, 100881, 157629, 226987, 308955? 403533 What comes next: 320, 540, 762, 986? 1212 What is the next term in 1249, 2475, 3701? 4927 What is the next term in -16796, -16792, -16786, -16778? -16768 What comes next: -431, -870, -1315, -1766, -2223, -2686, -3155? -3630 What comes next: -383, -494, -685, -962, -1331, -1798, -2369, -3050? -3847 What comes next: 616, 686, 756, 826? 896 What comes next: -4325, -8288, -12251, -16214, -20177, -24140? -28103 What is next in -1631, -2431, -3231, -4031, -4831, -5631? -6431 What is next in -210, -395, -552, -669, -734, -735? -660 What is the next term in 269, 236, 199, 158, 113, 64, 11? -46 What is the next term in 482, 976, 1410, 1754, 1978, 2052? 1946 What is the next term in 5708, 22844, 51408, 91400? 142820 What is the next term in 1825751, 3651500, 5477249? 7302998 What comes next: 12787, 25504, 38235, 50986, 63763, 76572, 89419? 102310 What comes next: 678, 5201, 17502, 41469, 80990, 139953, 222246? 331757 What comes next: -8449, -16901, -25353? -33805 What comes next: 82, 856, 2944, 7000, 13678? 23632 What is next in -73401, -73385, -73359, -73323, -73277, -73221, -73155? -73079 What is the next term in -3420, -6822, -10224? -13626 What is the next term in 202, 709, 1530, 2665, 4114, 5877? 7954 What is the next term in -238, -1213, -3660, -8317, -15922? -27213 What is the next term in -1826, -1832, -1840, -1850, -1862? -1876 What is next in -1986164, -3972328, -5958492, -7944656, -9930820? -11916984 What is next in -11904, -23656, -35406, -47154, -58900, -70644, -82386? -94126 What is next in 17663, 17723, 17783, 17843? 17903 What is the next term in 3390, 3351, 3296, 3231, 3162, 3095, 3036? 2991 What is next in -627, -1206, -1725, -2184? -2583 What comes next: 94470, 188936, 283400, 377862, 472322? 566780 What is the next term in -419, -1475, -3199, -5561, -8531, -12079? -16175 What is the next term in 57, 145, 301, 531, 841, 1237, 1725? 2311 What is next in 4072, 8139, 12212, 16297, 20400, 24527? 28684 What comes next: -3457, -13866, -31219, -55522, -86781, -125002, -170191? -222354 What is the next term in -840, -1665, -2494, -3327, -4164, -5005? -5850 What is next in -387, -1583, -3473, -5973, -8999, -12467, -16293? -20393 What comes next: -25, -20, -1, 32, 79, 140? 215 What is next in -119, -515, -1181, -2117? -3323 What is the next term in -1568, -3118, -4656, -6182, -7696, -9198? -10688 What comes next: -1791, -2079, -2567, -3261, -4167, -5291? -6639 What is the next term in 1162, 2368, 3574, 4780, 5986? 7192 What comes next: 1564, 1566, 1568, 1570, 1572, 1574? 1576 What comes next: 170, 250, 330? 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{ "pile_set_name": "DM Mathematics" }
Let t be -1*(20/b - (2 + 4)). Solve -2*g - 2*a = -4, -t = -0*g - g - 3*a for g. -1 Let x be ((-10)/12)/((-145)/87)*(-23 - -23). Solve x = -h - 15*f + 17*f + 1, 3*f = 0 for h. 1 Let f(q) = -q**3 - q**2 + 13*q - 3. Let c be f(-5). Let x = c + -27. Solve -4*r + 5*a + 13 = 0, -x*r + 11 = -3*a + 2*a for r. 2 Let u = 85 + -77. Suppose -4*x = y - u, 2*y - 2 = 5*x - 12. Solve 0*l - 5*f = -l, -x*f = 4*l + 22 for l. -5 Let o = 256 + -529. Let w = o - -273. Solve w = 2*g - 4*f - 16, -5*g + 3*g = 4*f for g. 4 Let a(r) be the first derivative of -r**4/4 + 5*r**3/3 - r**2 - 4*r + 56. Let m be a(4). Solve -4*v + x = -3*v - 9, 3*v + 8 = -m*x for v. 4 Let t(l) = -l**2 - 46*l - 202. Let j be t(-5). Solve 0 = j*q - 3*v - 21 - 3, -2 = 2*q + 4*v for q. 5 Suppose -76*v + 258 = 64*v - 11*v. Solve -r + 3*r + 8 = -2*u, 0 = v*u + 6 for r. -1 Let a be 1862/154 + (-12)/132. Solve 4*f - a = -5*t - 33, 0 = 4*t + 2*f + 18 for t. -5 Let n be (3 + (-20)/(-12))*(-126)/(-49). Suppose -3*k + o + n = 2*k, -2*k = -2*o - 8. Solve -2*p - k = -p + h, -10 = 2*p + 5*h for p. 0 Let c = 3705 + -3678. Solve 3*k = 3*u - c, 4*u + 19 = -k + 7*u for k. -4 Suppose 0 = -a - 4*g + 14, 2*a - 20 = a - 6*g. Solve -a*y + 8 = 3*p + 26, -2*p - 8 = 0 for y. -3 Suppose -2*w = 5*g - 318, -27 + 23 = 4*w. Solve 2*r + 62 - g = -5*m, -5*m = 4*r + 6 for m. 2 Let c(f) = -f**3 + 12*f**2 + 86*f - 1055. Let l be c(10). Solve r - l*m - 7 = 0, 3*r - 6*m + 3 = -3*m for r. -3 Let y = -31299 - -31427. Solve 3*l - 3*d = -15, -3*l - 131*d + y*d + 15 = 0 for l. 0 Suppose 10*o = 2*o + 120. Suppose -5*s + y + o = -2*y, -4*s - 4*y = 20. Suppose s = 6*i - 11*i + 30. Solve -3*j = -5*t + 17, 0 = -i*j + j + 3*t - 23 for j. -4 Let f(x) be the third derivative of 0*x - 1/24*x**4 - 1/6*x**3 + 12*x**2 + 0. Let n be f(-3). Solve 0 = -r - n*v - 2, -2*r - 4 = v + 3 for r. -4 Let g(q) be the first derivative of -2*q**2 + 16*q + 169. Let r be g(3). Solve 0 = 5*p - r - 6, 7 = 5*z - 4*p for z. 3 Let x = -57 + 59. Let a = 4962 - 4947. Solve 0 = -5*n + x*d + 6, 5*n = -3*d + 8*d + a for n. 0 Let l(i) = -i**2 + 9*i + 31. Let s be l(-3). Let u be 4 - (0 - -2)/(s - -4). Solve 5*y + 20 = u*d - d, 4*y = 4 for d. 5 Suppose 0 = -3*f - 12, 21*y - 22*y + 3*f = -14. Suppose 3 = -s + 6. Solve -y*b + 7 = 2*b - s*o, 3*b - 3*o = 6 for b. 1 Suppose 0 = 31*d - 36*d - 30. Let h be 0*3/6*2/d. Solve h = 4*k + 3*i + 5, -5*i = -k - 3*i - 4 for k. -2 Let i(m) = m**3 + 14*m**2 + 8*m - 53. Let b be i(-13). Solve 4 = 5*z + 3*w, -2*w + 0*w = -4*z + b for z. 2 Suppose -74*z + 4 = 2*j - 72*z, 4*j - 4*z + 8 = 0. Let m(b) = -7*b - 14. Let u be m(-5). Solve -10 = 5*x - 5*p, x + 4*p + 3 - u = j for x. 2 Suppose -138 - 72 = -42*b. Suppose 3*m + b*i = 29, -m + i - 7 = -2*m. Solve 16 = s - 5*s, -2*s - m = -5*n for n. -1 Let y be ((5 + 0)*(-2)/(-6))/((-61)/(-732)). Solve 0 = 4*p + 16, 0*j - 4*j - y = 4*p for j. -1 Let b be -1*(-50)/((-25)/5). Let j be (-2 + -3 - -6)*(1 - b). Let q be j + -9 + 4 + -2 + 0. Solve -3*p - 14 = -q*g, p = g - p - 6 for g. 2 Let s(o) be the first derivative of 5*o + 8 - 1/2*o**2. Let p be s(1). Solve -2*h = g - 6*h, -g - p*h - 8 = 0 for g. -4 Suppose 0 = 3*y + 4*g - 36, 40 = 142*y - 138*y + 4*g. Solve -q + 0 = -s - 1, 0 = y*q for s. -1 Suppose -7*z - 12 = -11*z - 2*k, -z + 3*k = 4. Suppose 0 = 2*o + h - 11, o - z*h = 3*h. Let l = -5 + 7. Solve -o*v + 2*u = 14, 0 = -v + 4*v + l*u + 2 for v. -2 Let u(v) = -3*v**3 + 31*v**2 - 7*v - 30. Let k be u(10). Solve k = 10*j - 11*j - 5*z + 21, -4*j - 4*z + 20 = 0 for j. 1 Let o be (-9)/(-6) - 21/14. Solve 5*y + o*u = 2*u - 9, u - 7 = 5*y for y. -1 Let x(i) = -4*i - 10. Let k be x(-3). Let a be k/4*2*(-4 - -9). Solve -2*b - 4*s + 0*s = 0, 0 = -a*s - 5 for b. 2 Let y be 1/(-12) - 980/(-240). Solve -y*w - 3 = -3*i, -6*i + 4*w = -10*i + 4 for i. 1 Let m(l) = 3*l**3 + 60*l**2 - 10*l - 184. Let h be m(-20). Solve -18*x = -3*j - h*x + 13, j - 1 = 4*x for j. 5 Let i(b) = b**2 - 2. Let z be i(2). Let u(c) = 33 + 7*c + 233 + 5*c + 42 + 120. Let a be u(-35). Solve w - a = 4*p, z*p - w + 4 = 2*w for p. -2 Let r = -20072 - -20086. Solve d - 4*y = -r, 0*y + 4*y = -5*d + 26 for d. 2 Suppose 6*k + 49 + 29 = 0. Let l = k + 137. Let p = -119 + l. Solve -6 = -3*v - 3*i, -3*v = p*i - 7 - 1 for v. 1 Let o = 494 - 264. Let h be 1/(4/(-7) - o/(-280)). Solve 0 = -d - 2*w + 3*w + h, -16 = -4*d - w for d. 4 Let n(z) = -4*z**3 - 25*z**2 - 11*z - 16. Let s be n(-6). Solve 5*o - 12 = g, -4*g = 2 - s for o. 3 Let g be 30 + (114/(-27) - 2/(-9)). Suppose -4*f + 37 = 5*x, -3*x - x + g = 2*f. Solve 4 = -2*j - b, -j + f*j - 2*b - 8 = 0 for j. 0 Let x(h) = h - 4. Let b be x(-3). Let t = 11 + b. Let i = -14481 + 14485. Solve -i*s - 4 = 4*o + 12, -o = t*s + 7 for s. -1 Let h = -272 - -70. Let b = h + 204. Solve 0 = -4*s + 4*l - 32, s + b*s + 2*l = -9 for s. -5 Suppose 0 = -2*v - v + 33. Let i(c) = -14*c**2 + 16*c + 14 + 2*c**2 - 12*c + 6*c + c**3. Let g be i(v). Solve 2*p = -g*x + 2, p + 2*x = 2*p + 6 for p. -2 Let b be (-3)/9*0 + 3. Suppose 0 = v + b*v - 24. Let c(s) = s - 6. Let z be c(9). Solve -2*x + x = -2*u - 5, -u - v = z*x for u. -3 Suppose -5*o = 5*b - 1035, -2*b - 641 = -9*o + 6*o. Let y = -207 + o. Solve u - y*u = -3*z, 3*u + 3*z - 12 = 0 for u. 2 Suppose 0 = -o + 5*x + 53, 0 = 2*o + 5*x + 63 - 49. Solve 0 = 5*s + 5*t - 20, -4*s - 19*t = -18*t - o for s. 3 Let n = -18326 - -18328. Solve 5*f - 3*s = -0*s, -n*f - 7*s = 0 for f. 0 Let j = 29 - 29. Let v be ((-12)/14)/((-2)/(j - -14)). Let a(b) = -b**2 + 4*b + 2. Let k be a(3). Solve 5*m = k*o - 5, -5*m + o = -3*m + v for m. -5 Let u = 404 + 140. Let b = u + -541. Solve 2*x - 1 = -b*s, 2*x + 2*s = 3*x + 3 for x. -1 Suppose 3*k + 6 = k, -2*u + 15 = -5*k. Suppose u = r - 17 - 33. Suppose -r = -6*x + 40. Solve 0 = 5*g - 2*t - 2*t + x, -4*g - 2*t - 12 = 0 for g. -3 Suppose -672 = -5*d - 202. Let q = -92 + d. Solve -5*u + 21 = -2*x, q*u = 3*x + 2*x for x. 2 Suppose 5*g = u + 26, 0*g - 3*u = 4*g - 17. Suppose -k = -s + g, -8 - 4 = -2*s + 3*k. Solve -p - 1 = 0, -s*d = -d - p + 3 for d. -2 Suppose -15*y = -5*y + 31*y - 410. Solve y*r - 16 = 4*n + 6*r, -3*r = 0 for n. -4 Let i be 3/(10/45 + (-10)/18). Let f be 12/42 - i/(-7) - -3. Suppose -5*x + 12 = f. Solve x*d + 10 = -4*c, c - 10 = 4*d + 4*c for d. -1 Let a = 4268 - 4265. Solve 5 = 3*t + 17, a*t = -4*b - 28 for b. -4 Suppose -2*i = 2*i. Suppose 21*h - 5*h - 7312 = 0. Let a = -452 + h. Solve -s + 2 = -2*s - x, x + a = i for s. 3 Let s(y) = y**2 - 19*y + 22. Let g be s(18). Suppose 0 = -22*b + 24*b - 8. Solve 6 = -b*x + 2*i, x - 6 + 3 = -g*i for x. -1 Let c be (-29 - (-11 - 10))*2/(24/(-57)). Solve 2*h - 9 = 5*o, -o + 11 = -c*h + 36*h for h. -8 Let l be ((-1)/2)/((-1)/66). Suppose 5*r - 28 = -3*z, 2*r - 4*z - 3 - 3 = 0. Let u(f) = 8*f - 21. Let t be u(r). Solve t = k - 0*c + 3*c, 2*k - l = -5*c for k. 4 Let f = -23102 - -23105. Solve 0 = -f*c - 15, -w + 153 = 3*c + 167 for w. 1 Suppose 9*d = -5 + 185. Suppose -4*w - 4*t = 16, -3*w - 2*w - d = -4*t. Let s be (w + 12/3)/(-1). Solve -2*x + 2*b = -12, 4*b = -s*x - x - 19 for x. 1 Suppose -119 = -9*s + 2*s. Let u be (-2)/s - (-1980)/935. Solve 0 = u*c - 5*t - 2 + 10, -2*t = -4*c - 16 for c. -4 Let a(j) be the first derivative of 2*j**3/3 + j**2/2 + 1. Let v be a(1). Let o be 26 - (605/(-5))/(-11). Solve 4*b - g - 20 = -0*g, -o = -v*b + 2*g for b. 5 Suppose -68 = -28*w + 72. Solve -a + 8 = w*i, i - 4*a - 10 = -0*a for i. 2 Suppose 5*m + 2 = 11*l - 7*l, -3 = -l. Solve 7*v - 4*f + 11 = 6*v, v - m*f + 5 = 0 for v. 1 Let p(t) = t**2 - 2*t + 1222. Let w be p(0). Suppose -w = -4*y - 422. Let d be 30/(-4)*y/(-75). Solve -5*z = -5*n - 40, -2*z = -5*n - d - 5 for z. 5 Suppose -3*d + 274 = n + 3*n, 3*n - 2*d - 214 = 0. Let v be (-4)/(-5) + 84/n. Solve 19 = -3*g + v*u, 4*g - 3*u + 4*u = -18 for g. -5 Suppose 5*a = -i + 24, 3*a + 2*i - 16 = a. Let j be ((-174)/a)/(30/(-80)). Let u = -113 + j. Solve d + 5*o - 20 = 0, 0*d - u*o = 4*d - 12 for d. 0 Let u be (54/(-30))/(2/10). Let x = u - -21. Let i = x + 0. Solve -5*k + 3*t = -t + i, -4*t = 3*k - 12 for k. 0 Let x(u) = -3*u**3 + 46*u**2 - 86*u - 3. Let j be x(13). Solve 61*y + 3 = n + j*y, 5*y = n - 27 for n. 7 Let u = 3532 + -3529. Solve -u*d + 3*r = -9, 2*d - 6*d - r = 13 for d. -2 Suppose -193*c = -200*c. Let w = -376 + 388. Solve -f - 4 = g, -2*f - 4*g - w = -c*g
{ "pile_set_name": "DM Mathematics" }
r = 89 - 96. Let u be i(r). Let v be (-72)/(-10)*(u/12 - 5). What is the greatest common divisor of 39 and v? 39 Suppose 5*j + 17763 = -j + 18195. Suppose -73 = -4*i + 35. Calculate the highest common divisor of i and j. 9 Let f be 4 + 7 + (-1)/(6/24). What is the highest common factor of f and 19? 1 Let u = -7 - -3. Let t be (6/8)/(u - 132/(-32)). Let g = t + 8. Calculate the greatest common divisor of 21 and g. 7 Let g(r) = -16*r + 982. Let u be g(8). Calculate the highest common divisor of u and 56. 14 Suppose 2*n - 5 = -15. Let w be (11/1)/(-3 - (1 + n)). What is the greatest common divisor of 99 and w? 11 Suppose 2492*g = 2498*g - 936. Let v be 9/2*g/9. What is the greatest common divisor of 6 and v? 6 Let z = 97 + -57. Suppose -2*h + 130 = 11*h. Suppose 12*j = h*j + 16. What is the highest common factor of z and j? 8 Suppose 0 = b + 3*g - 5618, -4*g - 25660 = -5*b + 2506. What is the highest common divisor of 20 and b? 10 Let t(r) = 22*r - 313. Let l be t(14). Let n be 3/((-18)/(-912)) + 20/l. Calculate the greatest common divisor of 518 and n. 74 Let n be (24 + -39)*204/(-10). Calculate the greatest common divisor of 646 and n. 34 Let l(y) = 58*y**2 - 156*y + 10. Let s be l(-25). What is the greatest common divisor of s and 251? 251 Suppose 0 = -13*q + 498 - 275 + 882. What is the highest common factor of 2176 and q? 17 Let j = 37489 - 35269. Calculate the greatest common factor of j and 690. 30 Suppose 0 = 7*j + 167 - 1350. Calculate the highest common factor of j and 754. 13 Suppose -5*z + 277 = 4*o, 5*z + 79 = o + 3*z. Calculate the greatest common factor of 73 and o. 73 Let a(c) = -84*c - 2854. Let i be a(-34). Calculate the highest common divisor of i and 18. 2 Suppose 47 = -2*m - 183. Let s = 211 + m. Suppose -10*l + 15*l - 60 = 0. Calculate the highest common divisor of l and s. 12 Let k = 197 + -194. Let f be 3 - -78*k/6. Suppose -48 = -5*r + 4*s + 96, 109 = 4*r + 3*s. What is the greatest common divisor of f and r? 14 Let y = 106 - 260. Let j = y - -436. What is the greatest common divisor of j and 6? 6 Suppose -1399 = 4*h + 561. Let l = -470 - h. Let o = 167 - 87. What is the highest common divisor of l and o? 20 Let i = 308 + -200. Suppose 2*z + r = 453, 4*z + 3*r - 795 = i. Calculate the greatest common factor of 12 and z. 12 Let g be (-332)/(-10) + 23/(-115). Let b(u) = 2*u - 52. Let r be b(g). Let j(v) = -26*v - 6. Let p be j(-4). Calculate the highest common divisor of p and r. 14 Let v be (-3)/6 + 1 - (-237)/2. Let a = 1885 - 1878. What is the greatest common divisor of a and v? 7 Suppose 4*l - p - 52 = 0, -4*l + 39 - 7 = 4*p. Suppose -2*u - 3*t = -21, 2*u + 7*t - 45 = l*t. Calculate the highest common divisor of u and 10. 5 Suppose -9*z + 493 = 128 - 319. Calculate the highest common factor of z and 133. 19 Suppose 6*w - 29*w - 1012 = 0. Let u = w - -70. Calculate the greatest common divisor of u and 26. 26 Let m = 14862 + -12146. Calculate the greatest common divisor of m and 364. 28 Let x = -40663 + 40768. Calculate the highest common factor of x and 81. 3 Let v(f) = -f**3 - 23*f**2 - 29*f - 148. Let l be v(-22). Suppose -l*g + 14*g - 784 = 0. Calculate the highest common factor of g and 70. 14 Let u be (3 - 7/(245/(-195)))*28. Calculate the highest common factor of 8100 and u. 60 Suppose 34 = -2*v + 44. Suppose v*t + 12 = 202. What is the greatest common factor of t and 95? 19 Let i be (9*-3)/((-36)/(-2040)*(16 - 21)). What is the highest common divisor of i and 5253? 51 Suppose -30*m + 64*m - 3926 = 9232. Calculate the highest common factor of 645 and m. 129 Suppose -2*n + 7*n - 35 = 0. Suppose 8*g - g = n. Let w be (g - -4)*(5 - 2). What is the greatest common factor of 75 and w? 15 Suppose -154*t + 152*t = 4*g - 32, -2*t = -4*g - 8. Calculate the greatest common factor of t and 17090. 10 Suppose -6 = 8*k - 582. Suppose -27*z + 30*z - k = 0. What is the highest common factor of z and 108? 12 Let t = -2391 + 3011. Calculate the greatest common factor of t and 60. 20 Let u = 330 + -961. Let g = u - -883. Calculate the highest common factor of g and 216. 36 Let q = 331 + -58. Let i = -95 + 39. Let x = i - -77. Calculate the greatest common divisor of x and q. 21 Suppose -16*v = 4*v - 760. What is the greatest common factor of 1178 and v? 38 Let l be 27/12 + 3 + (-9)/4. Let j = 34 + -29. Suppose a - 342 = -j*y, 0*y - 60 = -y - l*a. What is the highest common factor of 23 and y? 23 Let j = -17483 - -27731. Calculate the greatest common factor of 28 and j. 28 Suppose -53*k = 84*k - 1096. Let n(i) = i + 5. Let y be n(-5). Let p be 2/(-1)*(-8 - y). Calculate the highest common divisor of p and k. 8 Let g = -11 - 40. Let n = 139 + g. What is the greatest common divisor of n and 22? 22 Suppose 9*l - 12*l = -4*h + 8, 4*l - 5*h = -9. Suppose -3*w + 17 = -l*x, -3*x + 22 = 3*w - 23. What is the greatest common factor of 77 and w? 11 Suppose -2*j - 3*a = 41, -11*a + 10 = -9*a. Let m(s) = s**2 + 27*s + 54. Let q be m(j). Calculate the greatest common divisor of 2 and q. 2 Let i(v) = v**3 + v + 28. Let j be i(0). Suppose -13365 - 38263 = -178*l - 11756. What is the highest common factor of j and l? 28 Let s = -934 + 1762. Suppose -18*j + s = -12*j. Calculate the greatest common factor of j and 115. 23 Let x = -18 + 23. Suppose x*c - 5*d = -35 + 165, 5*c + 2*d = 158. Let j = -359 + 689. Calculate the greatest common divisor of c and j. 30 Let n be (-1)/3*1 + (-13400)/(-600). Suppose -121 = -4*v + 5*l, 2*v + 3*l = 7*v - 135. Let c = v - -152. Calculate the highest common factor of c and n. 22 Let h = -100 - -170. Let z = 1 + h. Let q be 1/(z/(-748) - (-10)/85). Calculate the highest common factor of q and 396. 44 Suppose 8*k = -7*j + 2*j + 49352, -3*k = -5*j + 49418. Calculate the greatest common factor of j and 26. 26 Suppose -3*v + s + 603 = 0, 40 = 3*s + 31. Calculate the greatest common divisor of 12 and v. 2 Let x = -137 - -123. Let o(s) = -s - 9. Let d be o(x). What is the highest common factor of d and 180? 5 Let z be ((2 + -2)/(-6))/(-2). Suppose z = -g + 4 + 10. Calculate the highest common divisor of 56 and g. 14 Suppose -12 = -3*h, -4*h - 59 = s - 6*s. Suppose -u - 31 = -2*p, -p + 4*u = 3*p - 52. Suppose p*j - 90 = -0*j. What is the highest common factor of j and s? 5 Let y = 240 + -236. Suppose -y*u = 13*u - 357. Calculate the greatest common factor of 15 and u. 3 Let z(v) be the third derivative of -2*v**6/5 - v**5/60 - v**4/24 - v**3 - 4*v**2 - 4. Let s be z(-2). Calculate the highest common divisor of 47 and s. 47 Let s(g) = 163*g**2 + 137*g + 2453. Let t be s(-14). What is the highest common factor of 11 and t? 11 Suppose -12*t + 1309 = -t. Suppose 0 = t*q - 126*q + 105. What is the highest common factor of 435 and q? 15 Suppose -63*i = 14*i - 3234. Suppose -11 = -2*g + 349. Suppose 5*x - g = 240. Calculate the highest common factor of x and i. 42 Let m(r) = r**2 - 4*r. Let c = 53 - 58. Let o be m(c). Suppose 5*v - 41 = 34. Calculate the greatest common divisor of o and v. 15 Let b = -31746 - -31911. What is the highest common factor of 120 and b? 15 Let y be (-110)/33*15/(-10). What is the highest common divisor of y and 71? 1 Let a(n) = -45*n - 3. Let g be a(-3). Let b be 1 - (((-4)/12)/(24/360) - 214). What is the highest common factor of g and b? 44 Suppose 193*z - 748336 - 711954 = -46*z. What is the greatest common divisor of z and 60? 10 Let c(n) = -42*n**2 + n + 38*n**2 + n**3 + 5 - 1 + 0*n. Let a be c(3). Let b be a + (-4)/((-12)/17)*12. What is the highest common divisor of b and 6? 6 Let x(u) = -u**2 + 468*u + 5478. Let c be x(0). Calculate the highest common factor of 2822 and c. 166 Let w(s) = -25*s - 155. Let a be w(-9). Let c be a/(-14)*(-6)/1. Calculate the greatest common divisor of 10 and c. 10 Let m be -9*(-4 + (-7)/(21/(-10))). Suppose 190 = m*k - 11*k. Let t = -3 - k. What is the highest common factor of t and 14? 7 Let o = -9578 - -13500. Calculate the greatest common factor of o and 222. 74 Let t(p) = 3*p**2 + 17*p + 58. Suppose 0 = -4*u, 7*u - 20 = 4*g + 4*u. Let k be t(g). Calculate the greatest common factor of k and 112. 16 Let o = -65 - -61. Let b be (6/o)/((-9)/6). Let r be (-36)/27*-1*3*b. Calculate the highest common factor of 44 and r. 4 Suppose -8*s = -12*s + 36. Suppose -s - 12 =
{ "pile_set_name": "DM Mathematics" }
uppose j + n*p = 46, 33*j + p = 35*j - 114. Calculate the least common multiple of 8 and j. 56 Let n = -48882635 + 2199552607/45. Let d = 3688 + n. Find the common denominator of 169/90 and d. 90 Suppose -357 = -34*o + 731. What is the lowest common multiple of o and 668? 5344 Let l = -111 - -110. What is the lowest common multiple of 10 and (l + 6 - 2)/((-2)/(-144))? 1080 Let i be 1/(-4) + 243/792. Let b be -1 - 925/616 - (-10)/35. Let f = i - b. What is the common denominator of 63/10 and f? 110 Let c = 56/39 - 3163/546. Find the common denominator of (166/10)/(26/30 - (-64)/192) and c. 42 Let a(z) = -5*z**3 - 4*z**2 + 3*z. Let c be (-2 + (-3 - -6))/(1/1). Let o be a(c). Calculate the least common multiple of 9 and (o + -3 + 1)/(-2). 36 Let f be (-4)/(-8)*(59 - -9). Suppose s - f + 82 = 2*p, s = 0. Calculate the smallest common multiple of 66 and p. 264 Let d(f) = 46*f**3 - 2*f**2 - 2. Suppose -259 + 943 = 12*x. Suppose 4*o = 12, 6*p - 9*p + o + x = 0. Calculate the lowest common multiple of p and d(2). 3580 What is the common denominator of (-171)/20520*(-2 - (-1122)/(-4)) and (-2)/((-128)/212) + 3? 48 Let g = 3738 - 59767/16. Find the common denominator of g and 71/416. 416 Calculate the smallest common multiple of (18/(-12))/((-4)/32) and 8*36/6*10/4. 120 Let x = -3191450/37008543 + -1/86267. Find the common denominator of x and -62/2847. 31317 Suppose -7 = i - 4*q, 2*i + 0*q - 4 = -q. Let h be (-250 + 10)/(0 + i). What is the common denominator of (-2)/(-1)*(-522)/h and 101/8? 40 Let r(p) = -p**3 + 6*p**2 + 4. Let b = 254 + -226. What is the least common multiple of r(6) and b? 28 Let i = -966 + 2086. Calculate the least common multiple of 168 and i. 3360 Let u be (-6)/9*27/6. Let g be 6 + -13 + u*(0 - 1). Calculate the common denominator of 99/32 and 274/(-28) - 1 - g. 224 Suppose -25672*r + 25547*r = -2000. Suppose 11*y - 4*h = 6*y + 63, 2*y = -4*h + 14. Let u = 21 - y. Calculate the least common multiple of r and u. 80 Let n = 996048 - 2077756085/2086. Calculate the common denominator of 61/6 and n. 6258 Let k = -6316 - -23069. Let g = -200885/12 + k. Find the common denominator of g and -11/12. 12 Let v be ((-1)/(-3))/(-9*2/108208). Let d = v - -18010/9. Find the common denominator of d and 88/45. 135 What is the smallest common multiple of 7/((-91)/(-247)) + 13 and 32? 32 Let w = -5531/4 + 1372. Calculate the common denominator of (6 - 144/21) + (-16)/(-72) and w. 252 What is the least common multiple of 16 and (-2 + -32102)*2/(-4) - (55 + -49)? 128368 Let o = -33 - -73. Suppose 3*u - 144 = -4*r, -3*u + 4*r - 6*r + 150 = 0. Calculate the lowest common multiple of u and o. 520 Let d = 1492132 + -5411962814/3627. Find the common denominator of d and -73/2418. 7254 Let w = -81 + 141. Calculate the lowest common multiple of (10/(11 - -9))/((-4)/(-416)) and w. 780 Let u = -239 - -437. Suppose u = -4*y + 15*y. Calculate the least common multiple of y and 42. 126 Let d = -441/13 - -1385/78. Suppose -o - 103 = 5*j, 5*j = -o + 9*j - 67. What is the common denominator of d and 3*o/(-60) + 2/(-8)? 30 Suppose -33 = o - l - l, 119 = -3*o - 4*l. Let p be (-30)/50*6/(12/50). Let z = p - o. Calculate the least common multiple of 22 and z. 22 Suppose -4*h + 5272 = -4*k, 2*h + 614 = k + 1929. Let q be (-6)/172*(k/18 - -6). Let n = -3/172 + q. Calculate the common denominator of -47/6 and n. 6 Find the common denominator of -123/140 and (164/430)/(178/10 - 29). 6020 Let c be -155 - (1 - (8 - 5)). Let b = -83 - c. Calculate the smallest common multiple of 28 and b. 140 Let a be (2/(-1) + -3)*12/(-15). What is the common denominator of (-98)/(-16) + 3/a and -11/16? 16 Find the common denominator of -53/1492 and (-267)/(-8)*(11 - (-578)/(-51)). 2984 Suppose -490*n = -488*n - 318. Suppose -m - 62 + n = b, -3*m = 9. Calculate the smallest common multiple of 30 and b. 300 Let l = 82 + -81. Suppose -4*v + 3*x = -3, 5*v - 5*x - 18 = -6*x. What is the least common multiple of v and -4*((-203)/140 + l/5)? 15 Let w = -109 - -93. Calculate the common denominator of 74/15 and (3/w)/((-54)/(-2 - -8)). 240 Suppose 3*b - 5*k = 2, 3*b + 4*k - 22 = -2. Calculate the common denominator of b/10 + (-97097)/139680 and 97/24. 288 Let t = 3223684238135 - 709199782924621/220. Let m = t - 48861494. Let p = m + 3152/11. Calculate the common denominator of -123/40 and p. 40 Let v = -55228 - -828467/15. Let m = -40543 + 2432719/60. What is the common denominator of v and m? 60 Let n = 17 + 2. Let t = 31 + n. Find the common denominator of 3/(-21)*((-6)/9)/((-38)/(-171)) and t. 7 Suppose 28*f - 26*f + 4*y - 1132 = 0, 0 = -4*f + 2*y + 2314. Calculate the least common multiple of 1056 and f. 6336 Let n be (-275)/10 - (-1)/(-2). Let y = -290/11 + 2179/33. Let t = y + n. Calculate the common denominator of -143/6 and t. 6 Suppose 11*d - 614 - 24 = 0. Let v = 525 + -4748/9. Find the common denominator of d/(-33) + (-5)/15 and v. 99 Let s(k) = -31*k - 1287. Calculate the least common multiple of s(-42) and 171. 855 Suppose 1887 = 62*z - 11*z. Suppose -26*k + z*k = 132. Let d = -12 + 45. Calculate the least common multiple of d and k. 132 Let d = -49 - -56. Let y(q) = q + 16. Suppose -4*p = -4*b - 0*p - 24, 3*p - 27 = 4*b. What is the least common multiple of y(b) and d? 7 Let v = 78 + -74. Let p be 126 - (v - 1) - 3/1. What is the common denominator of (-2432)/p - (-4)/(-10) and 54/7? 21 Suppose -2*z - 20 = -5*o, -4 = -o + 219*z - 221*z. What is the smallest common multiple of 6008 and o? 6008 Let f = 480 + -472. What is the lowest common multiple of 9/(-3) - (-23 + 0) and f? 40 Suppose 4*q - 141 = z - 0*z, 2*z = -3*q + 114. Let a = 1190 + -1162. What is the lowest common multiple of a and q? 252 Let q = -274/15 + -727/30. Let j = -3/12001 + -7020573/48004. Let d = 4961/36 + j. Find the common denominator of d and q. 18 Suppose -8*u + 106 = -22. Suppose -5*o - 14 - 26 = 0. Let i(s) = -2*s - 2. Calculate the least common multiple of i(o) and u. 112 Let t be (-30)/24 - 1884836/240. Suppose 0 = -0*q + q - 7859. Let w = t + q. Calculate the common denominator of w and -64/9. 45 Let l = -8075 + 113097/14. What is the common denominator of l and 53/32? 224 Suppose -24*h + 26*h - 224 = -2*g, -2*h - g + 226 = 0. Suppose h = 18*l - 84. What is the smallest common multiple of 423 and l? 4653 Let k(l) = -l**3 + 11*l**2 - 9*l + 3. Let j be k(10). Let y = 19 + j. Let b = -1919 - -1963. Calculate the smallest common multiple of y and b. 352 Let q(h) = h**3 + h - 3. What is the least common multiple of q(3) and ((-10)/140 + (-425)/175)/(20/(-192))? 216 Let c = 126676 + -21281735/168. Calculate the common denominator of c and -93/1148. 6888 Suppose -168*s + 162*s = -210. Calculate the common denominator of (7/(-2))/(4/3) and (24/30 - (-12)/s)*6. 56 Calculate the least common multiple of 96/(-256) - (-263)/4*(-1449)/(-42) and 18. 2268 Find the common denominator of -3*(-420)/135*1/(-40) and -25/867. 8670 Let q(f) = f**3 - 25*f**2 - 55*f + 26. Let t be q(27). What is the common denominator of -77/87 and 131/(-30)*t*(-225)/135? 522 Suppose 157*i = 136*i + 4200. What is the smallest common multiple of i and 400? 400 Let v be ((-66)/(-252)*-33)/((-12)/14). Let l = -59/60 + v. Calculate the common denominator of -29/9 and l. 90 Let x(b) = -4*b - 12. Let s(h) = -h**3 + 8*h**2 - 3*h + 19. Let l be s(8). Calculate the lowest common multiple of ((-4)/15*3)/(6/(-60)) and x(l). 8 Let g(o) = -8*o - 54. Let l = 9 - 4. What is the smallest common multiple of (-9)/(-5) - (-1)/l and g(-8)? 10 Find the common denominator of -59/1484 and 518/4403 - (-11474)/(-64872). 13356 Let v(d) = -d**2 - 9*d - 8. Let x = 6 - 12. Suppose 0 = 695*i - 284*i - 324*i - 1044. Calculate the least common multiple of i and v(x). 60 Let s = 505 + -325. Let r = 1016 - 1014. Calculate the lowest common multiple of s and r. 180 Let g(w) = -18*w + 193. Let z be g(41). Let o = z - -611. What is the lowest common multiple of o and 66? 66 Suppose 40 = q + g, 7*q - 122 = 5*q + 5*g. Calculate the lowest common multiple of 322 and q. 322 Let r(c) = -6*c**3 + 8*c**2 - 7*c - 11. Let u be r(-4). Let t = -519 + u. What is the smallest common multiple of t and 1? 10 Let c(o) = o**2 + 17*o + 40. Let g = 69 + -84. Let a be c(g). Calculate the common denom
{ "pile_set_name": "DM Mathematics" }
(y) = 15*y + 4. Let t(k) = 47*k + 8. Let m(v) = -46*v - 9. Let q(h) = -3*m(h) - 2*t(h). Give w*b(x) - 4*q(x). -11*x Let f(b) be the first derivative of b**3/3 + b**2/2 + 4*b + 1. Suppose -24 = 3*g - 36. Let k(a) = 2*a - 5*a + 2*a**2 + 12 - 5 + g*a. Give -5*f(p) + 3*k(p). p**2 - 2*p + 1 Let x(m) = -m**3 + 6*m**2 - 17. Let r(o) = o**3 - 2*o**2 + 3. Give -6*r(u) - x(u). -5*u**3 + 6*u**2 - 1 Let a(r) = 551*r + 43. Let u(h) = 1104*h + 98. Give 7*a(v) - 3*u(v). 545*v + 7 Let t(f) = -26*f**2 + 15*f - 6. Let q(i) = 53*i**2 - 32*i + 12. Calculate -6*q(x) - 13*t(x). 20*x**2 - 3*x + 6 Let x(w) = -813*w + 15. Let a(t) = 2502*t - 46. Calculate -5*a(s) - 16*x(s). 498*s - 10 Suppose -17*d = -22*d - 3*s - 57, 29 = -3*d - 7*s. Let y(j) = j**2 - 1. Let p(l) = -2*l**3 - 10*l**2 + 8. Determine d*y(q) - p(q). 2*q**3 - 2*q**2 + 4 Let w = -8 - -5. Let z(g) = -3*g + 3. Suppose 0 = -2*d - 61*x + 63*x + 30, d + 25 = -3*x. Let o(j) = -6*j + 6. What is d*z(n) + w*o(n)? 3*n - 3 Let u(p) = 1098503*p**3 + 5474*p**2 - 8211*p + 2737. Let d(l) = -2409*l**3 - 12*l**2 + 18*l - 6. Determine 2737*d(f) + 6*u(f). -2415*f**3 Let f(h) = 19 - 5*h**2 - 54 + 40 + 4*h**3. Let d = 2 + 0. Let z(a) = 3 + a**3 - 2 + 0*a**3 - a**d. What is f(v) - 5*z(v)? -v**3 Suppose 2*g - 4 - 2 = 0. Let c(n) be the third derivative of -5/6*n**3 + 0*n + 0 - 13*n**2 + 1/60*n**5 - 5/24*n**4. Let w(m) = -m - 1. Calculate g*w(y) - c(y). -y**2 + 2*y + 2 Let y(u) = 1. Let i(h) = -h + 7. Let r be i(7). Suppose 5*q = 3*x + 43 - 12, r = 2*x + q + 25. Let c = x + 11. Let j(g) = 3*g - 7. Give c*j(v) - 5*y(v). -3*v + 2 Let w(z) = z**2 + 79*z - 1. Let d(a) = -4*a**2 - 398*a + 6. What is 3*d(x) + 14*w(x)? 2*x**2 - 88*x + 4 Let m(g) = 1 + 425*g**3 - 8 + 7*g - 127*g**3 - 211*g**3. Let v(h) = -29*h**3 - 2*h + 2. Calculate -2*m(u) - 7*v(u). 29*u**3 Let z(r) = r**3 - r**2 + r. Suppose 13*c - 5*s = 15*c + 66, 54 = -4*c + 3*s. Let u(a) = -5*a**3 + 8*a**2 - 9*a. Calculate c*z(b) - 2*u(b). -8*b**3 + 2*b**2 Let h(c) = 7*c + 9. Let l(s) = 3*s + 4. Let w = -773 + 773. Suppose 3*r + 12 = w, 2*y - 14*r + 12*r = 12. Give y*h(q) - 5*l(q). -q - 2 Let o(y) = -2*y + y**2 - 18 + 5*y + y + 22. Let c(m) = 2 - 2 + m. Let l be -7 + (2 - -10) - 4. Give l*o(i) - 4*c(i). i**2 + 4 Let s(f) = 4*f - 30. Let x(j) be the first derivative of -j**2 + 15*j + 471. Give 4*s(h) + 7*x(h). 2*h - 15 Let r(x) = 12*x**3 - 7*x**2 + x + 3. Let k(j) = 107*j**3 - 64*j**2 + 9*j + 28. What is -2*k(h) + 19*r(h)? 14*h**3 - 5*h**2 + h + 1 Let n(q) = -22*q**2 - 17*q. Let p be n(-1). Let m = 19 + -17. Let d(r) = r - 2. Let f(x) = x - 4. What is m*f(v) + p*d(v)? -3*v + 2 Let v(l) = -3*l**2 + 6*l + 1. Let i(q) = -2*q**2 - 18*q - 33. Determine -2*i(o) - 6*v(o). 22*o**2 + 60 Let b(g) = 2732*g**3 - 9*g**2 - 6*g + 3. Let o(v) = 2732*v**3 - 12*v**2 - 8*v + 4. Give 4*b(d) - 3*o(d). 2732*d**3 Let q(b) = 10*b + 10. Let d(w) = -1 + 21*w + 13*w - 49*w + 16*w. Determine 12*d(h) - q(h). 2*h - 22 Let k(j) = 47926*j + 187066. Let a(u) = 3*u + 11. What is -34012*a(b) + 2*k(b)? -6184*b Let l(v) = -10*v**2 - 3*v - 1. Let o(y) = 10*y**2 + 4*y. Let k = 24712 + -24715. Calculate k*o(z) - 4*l(z). 10*z**2 + 4 Let p(d) = -87*d**3 - 2*d**2 - 88*d**3 + 170*d**3. Let g(f) be the third derivative of -f**6/24 - f**5/30 - f**2 - 11*f. Determine -6*g(o) + 5*p(o). 5*o**3 + 2*o**2 Let q(y) = -2*y + 5. Let m(k) = -20*k - 311. Let b(u) = -7*u - 110. Let t(g) = -17*b(g) + 6*m(g). Let w = 11 + -8. Give w*t(z) - 2*q(z). z + 2 Let w(o) = 7*o**3 + 13*o**2 - 39*o + 36. Let b(g) = -3*g**3 - 6*g**2 + 19*g - 16. Calculate -9*b(x) - 4*w(x). -x**3 + 2*x**2 - 15*x Let z(q) = -q**3 - q**2 + q - 1. Let v(a) = 445*a + 3 - 1 + a**2 - 8 - 446*a. Determine v(b) + z(b). -b**3 - 7 Let s(n) be the first derivative of -n**3/3 - n - 1891. Let h(v) = -6*v**2 - 5*v - 5. Determine h(q) - 5*s(q). -q**2 - 5*q Let m(g) = -6*g - 16 - 2*g - 4*g. Suppose 5*k + 28 = 73. Let w = 10 - k. Let t(z) = z + 1. Give w*m(o) + 16*t(o). 4*o Let b(r) = -153*r**3 + 5*r**2 - 41*r + 17. Let z(f) = -229*f**3 + 7*f**2 - 57*f + 26. Calculate -7*b(t) + 5*z(t). -74*t**3 + 2*t + 11 Let n(t) = t**3 - 7*t**2 + 14*t + 24. Let h(d) = -d**3 + 8*d**2 - 18*d - 23. Calculate 4*h(q) + 5*n(q). q**3 - 3*q**2 - 2*q + 28 Let p(g) = 259*g - 9. Let h(r) = -509*r + 18. Calculate 3*h(k) + 7*p(k). 286*k - 9 Let d(l) = 4*l**3 + 2*l**2 - 2*l + 9. Let i(y) = -7*y**3 - 5*y**2 + 5*y - 23. Give 10*d(x) + 4*i(x). 12*x**3 - 2 Let x(p) = p**2 - 2*p + 3. Let o(r) = -r**3 - 1 - 748*r**2 + 0 + 1499*r**2 - 750*r**2 + 0*r**3. Calculate -o(y) - x(y). y**3 - 2*y**2 + 2*y - 2 Let j(l) = 10*l**3 + 2*l**2 + 29*l + 14. Let i(u) = -2*u - 3. Calculate -6*i(q) - j(q). -10*q**3 - 2*q**2 - 17*q + 4 Let k(w) = 180*w + 4. Let j(r) = -2*r**2 - 541*r - 13. What is 2*j(g) + 7*k(g)? -4*g**2 + 178*g + 2 Let v(d) = 0*d**3 + 127*d + 6 + d**3 - 4*d**2 - 62*d - 70*d - 6*d**3. Let u(f) = f**3 + f**2 + f - 1. Calculate 4*u(o) + v(o). -o**3 - o + 2 Let u(t) be the second derivative of 3/4*t**4 + 3*t + 0*t**3 - 3/2*t**2 - 6. Let f(z) = -19*z**2 + 7. Give 3*f(j) + 7*u(j). 6*j**2 Let j(o) = -o**3 + 3*o. Let m(u) be the second derivative of -u**4/24 - 30*u**2 - 131*u. Let w(b) be the first derivative of m(b). What is -j(c) - 5*w(c)? c**3 + 2*c Let b(q) = 4 - 4 - 1 + 2. Let f(d) = -d**2 - 460*d + 925. Let x be f(2). Let w(t) = 2*t + 4. Determine x*w(a) - 3*b(a). 2*a + 1 Let s(k) = -12*k**2 - 9*k + 38. Let j(o) = 11*o**2 + 8*o - 31. Let a(u) = 6*j(u) + 5*s(u). Let z(m) = -m - 1. Give 2*a(c) + 6*z(c). 12*c**2 + 2 Let i(k) = -2*k**3 - 4*k**2 - 4*k + 3. Let w(s) = 2*s**3 + 3*s**2 + 3*s - 3. Let b = -400 - -668. Let y = b + -272. Give y*w(m) - 3*i(m). -2*m**3 + 3 Let l = -2 - -1. Let k(s) = -s**2 + s. Let q(c) = 3*c**2 + 2272*c + 34. Let i(v) = -v**2 - 802*v - 12. Let a(m) = -34*i(m) - 12*q(m). Calculate l*a(n) + 4*k(n). -2*n**2 Let z(t) = 31*t - 7. Let q(b) = 31*b - 6. Let w(h) = -287*h + 9753. Let f be w(34). Calculate f*q(s) + 4*z(s). -31*s + 2 Let c(s) = -s**3 + 2*s**2 - 2*s - 2. Let w(f) = -5*f**3 + 10*f**2 - 23*f - 6. What is 3*c(d) - w(d)? 2*d**3 - 4*d**2 + 17*d Let l(f) = 89. Let n(u) = -163. Let b(m) = 11*l(m) + 6*n(m). Let s(z) = -12*z + 8. Calculate 8*b(a) - s(a). 12*a Let n(q) = q. Let r(o) = 14013*o. Calculate 9342*n(h) - r(h). -4671*h Let q(o) = -3*o**3 - 9*o**2 + 10*o. Let g(s) = 99*s**2 - 463*s + 464*s - 100*s**2. What is 18*g(x) - 2*q(x)? 6*x**3 - 2*x Let c(k) = 23*k. Let g(s) = -1040*s - 3. What is 3*c(q) + g(q)? -971*q - 3 Let m(f) be the third derivative of -f**4/24 + 131*f**2. Let x(j) = -8*j**2 - 7*j. Calculate -14*m(c) + 2*x(c). -16*c**2 Let y(s) = -121*s**3 - 143*s**2. Let l(m) = 5*m**3 + 6*m**2. Let n = 1598 - 1099. Let d = n + -505. What is d*y(w) - 143*l(w)? 11*w**3 Let r(i) = -1. Let g(v) be the third derivative of v**4/24 + 6*v**2 + 116. Give -3*g(z) + 2*r(z). -3*z - 2 Let b(l) = -264*l**2 - 8*l. Let i(a) = -32*a**2 - a. What is 6*b(d) - 51*i(d)? 48*d**2 + 3*d Let x(j) = 142*j**3 - j**2 + 3*j - 8. Let t(d) = -14*d**3 - d + 1. Calculate -4*t(w) - x(w). -86*w**3 + w**2 + w + 4 Let l(p) = -420*p + 15. Let h(g) = 208*g - 9. Determine -5*h(m) - 2*l(m). -200*m + 15 Let s(l) = 6*l**3 - 9*l**2 + 16*l - 144. Let f(a) = 7*a**3 - 8*a**2 + 14*a - 145. Calculate 8*f(q) - 7*s(q). 14*q**3 - q**2 - 152 Let g(a) = 1920*a - 75. Let p(x) = 175*x - 7. Give -6*g(t) + 65*p(t). -145*t - 5 Let f(a) = -31*a**3 - 18*a**2 + 143*a + 4. Let l(g) = 5*g**3 + 3*g**2 - g. What is -f(h) - 6*l(h)? h**3 - 137*h - 4 Let i(n) = -n**3 + n**2 + 1. Let j(a) = -a**3 + 48*a**2 - 32*a - 706. Let l be j(47). Let r(u) be the first derivative of -u**3 - 3*u + 9. Give l*r(w) - 2*i(w). 2*w**3 + w**2 + 1 Let t(f) = -208*f**3 + 44*f**2 - 60*f + 62. Let b(m) = 125*m**3 - 26*m**2 + 35*m - 37. Calculate -12*b(l) - 7*t(l). -44*l**3 + 4*l**2 + 10 Let o(t) = 2408*t + 7. Let y(j) = 4813*j + 15. Determine -7*o(g) + 3*y(g). -2417*g - 4 Let q(z) = z**2. Let b(x) = -2*x**2 + 260 - 139 - 121 + 27*x - 13*x. Give 2*b(g) + 6*q(g). 2*g**2 + 28*g Let m(b) = 2*b**3 + 1951*b**2 - 9*b - 25. Let l(v) = v**3 + 975*v**2 - 4*v - 11. Give 9*l(u) - 4*m(u). u**3 + 971*u**2 + 1 Let y(v) = -4*v - 3. Let j(x) = 106*x + 211. Let a be j(-2). Let l(g) = 1. Let h = 6 - 9. Determine a*y(m) + h*l(m). 4*m Let m(r) = -1. Let c(a) be the first derivative of a**2/2 - 5*a - 1. Let x be
{ "pile_set_name": "DM Mathematics" }
t f = 17 + 3. Let s = -3 + 5. Solve 3*x + s*x = -f for x. -4 Let i be (-1)/1*-6 + -2. Suppose -5*r + 8*r = 0. Suppose s + 2*y - 16 = 0, i*s + 1 = 5*y - r. Solve -3*a = -0*a - s for a. 2 Let z(g) = -g**2 + 5*g + 2. Let f be z(7). Let v be ((-21)/f - 2)*-4. Solve 3*j - 2 = v for j. 1 Let r(b) = b**3 - 5*b + 2. Let c(y) = y - 1. Let m(h) = 4*c(h) + r(h). Let a be m(2). Let g = 10 + -7. Solve a*v - 5 - g = 0 for v. 2 Let f = 54 - 52. Suppose -4*o = -o + 2*b + 4, -20 = 4*b. Solve -o*a - f*a = 0 for a. 0 Suppose 0*z - 7*z = 3*z. Solve -3*i - 6 = -z for i. -2 Let z(s) = s - 6. Let a be z(8). Let f(n) = -2*n. Let j be f(-1). Suppose 0 = m - 1, j*w + 0*w - 5 = m. Solve -w*r = -a*r for r. 0 Let c = 12 - 8. Solve 4*t - 5*t = -c for t. 4 Let i be 84/18 + 1/3. Suppose -5*u + 10 = -0*u. Let k(a) = 2*a. Let j be k(u). Solve p - i = -j for p. 1 Let b = -57 - -60. Solve 6*w - 3 = b*w for w. 1 Let u(d) = d**2 - d + 41. Let w be u(0). Suppose -4*m + w = -31. Solve 2 + m = -5*q for q. -4 Let z(a) = a**3 - 4*a**2 - 4*a - 1. Let s be z(5). Suppose -q - 1 + s = 0. Suppose 0 = 4*t - 7 + q. Solve t = x + 3 for x. -2 Suppose -3*v = -v. Solve v = r + 8 - 3 for r. -5 Let m(b) = b**2 + 8*b - 13. Let o be m(-10). Let d = o + -7. Solve 0*r - 5*r - 25 = d for r. -5 Let y(a) = a**2 - a + 2. Let u be y(1). Solve -2*r - u = 8 for r. -5 Suppose 11*x = x + 150. Solve 4*r + 3 = x for r. 3 Let a = 13 - 10. Solve a = -0*c + c for c. 3 Let x(i) be the second derivative of i**4/12 + 5*i**3/3 - 5*i**2 + 8*i. Let u be x(-11). Solve 4*b - u = 19 for b. 5 Suppose 0 = -0*k - k. Solve 2*v - 7*v = k for v. 0 Suppose 3*h - 7 + 4 = 0. Let y be 11 + -1 - (0 - 0). Let l = h + y. Solve 36 - l = 5*x for x. 5 Suppose -2 = 2*u, -w = 3*w + 4*u. Solve x - 3 + w = 0 for x. 2 Let y be (-1*1)/((-3)/15). Let k = y - 5. Solve k = -3*i - 1 + 16 for i. 5 Suppose -12*j - 6*j + 162 = 0. Solve 0 = -5*d + 11 + j for d. 4 Let v be 4/((-12)/9)*-3. Suppose v*f = 4*f + 125. Suppose 0*x = -2*i - x + 11, 0 = 4*i + 3*x - f. Solve -9 = -o + i*o for o. -3 Let w be (-3)/15 - 42/(-10). Let i = w + -2. Solve -i*n - 1 = -n for n. -1 Let q be (-6)/(-18) - 1/9*3. Let t be 3/6 + 9/6. Solve q = x + t*x for x. 0 Suppose -5*f + 36 + 69 = 0. Suppose -d - f = -5*h, -2*h + 3*d + 3 = -8. Suppose -3*q = 2*w - 20, -w + 57 = 4*w + 4*q. Solve h*y - w - 7 = 0 for y. 5 Suppose 0 = 4*k - 28 + 16. Solve 0 = -k*b + 11 + 4 for b. 5 Let r = 8 - 5. Suppose 0 = f - r*v - 11, f + f + 3*v - 4 = 0. Solve 3*m + 6 = f*m for m. 3 Let k(m) = -m**2 + 7*m - 4. Let b be k(6). Suppose b*j = -j + 3. Suppose r - j = 1. Solve -1 = o - r for o. 1 Suppose -l - 4 + 16 = -5*m, 3*m + 8 = l. Suppose 0 = -5*x + l*x + 30. Let f be 25/9 - (-12)/54. Solve -2*c + x = f*c for c. 2 Suppose 0 = -p + 2*p - 3. Solve 0 = -z - p*z for z. 0 Suppose -9*q + 16 = -2. Solve -3*r + q*r = 4 for r. -4 Suppose -5*b = 3*h - 0*h + 15, 4*h = -2*b - 20. Let o = -3 - h. Solve -o*v = 3*v + 25 for v. -5 Let w(j) = j + 9. Let v be w(-6). Solve 2*o - 10 = -v*o for o. 2 Let m = 61 + -59. Solve 0 = -m*u + 3*u - 4 for u. 4 Let q be (-3)/(-6) - (-30)/12. Solve -q*j = -2*j for j. 0 Let q(r) = -r**3 - 7*r**2 + 8*r + 1. Let b be q(-8). Let y be 1 + (0 - (1 - b)). Solve -3*p - 13 = -y for p. -4 Suppose -1 = 4*w - 21. Let i be 0 + (w - 2) + -1. Solve i*a = -2*a for a. 0 Suppose 0 = t + t + 20. Let o = -10 - t. Solve o = -2*i - 3*i + 20 for i. 4 Suppose 4 - 7 = 3*z. Let a be -2 + z*10/(-2). Suppose a*m = 3*t + 9, m - 4*m = -4*t - 9. Solve 0*j = m*j for j. 0 Let t be (6*1)/(6 + -7). Let q be 1*23 - (-8 - t). Solve 2*o + 3*o = q for o. 5 Let a(r) = -3*r + 20. Let o be a(6). Solve -3*w + o*w = 3 for w. -3 Let v(t) = 27 + t**2 - 25 + 3*t + 3*t - 2*t**2. Let l be v(6). Solve -5*f + 3 = -l for f. 1 Suppose -4*y = -2*y - 8. Solve -8 = y*p + 12 for p. -5 Suppose 0 = -2*r - 7*j + 2*j + 25, 4*j - 20 = r. Suppose 8*n = 4*n - 12. Let z be n/3 + (1 - -8). Solve r = -5*m + m + z for m. 2 Let w = 70 - 35. Suppose -6*j = -j + w. Let i = 2 - j. Solve 6*a + i = 3*a for a. -3 Suppose u - 3 + 2 = 0. Let g be ((-3)/9)/(u/(-30)). Solve 0 = -5*z - 10 - g for z. -4 Let z = -101 + 101. Solve 4*j + 8 = -z for j. -2 Let l = -2 - -6. Suppose 0*h + l*v = 2*h - 2, -h = 2*v + 7. Let i be (-32)/(-6) + 1/h. Solve -1 - 4 = -i*j for j. 1 Suppose -12 = 4*j, 3*o - 3*j - 26 = 1. Let y = 22 - -3. Solve o*a - a = -y for a. -5 Let i(x) = 5*x + 0*x + 13 - 2*x - 3. Let a(m) = -13*m - 40. Let w(r) = 2*a(r) + 9*i(r). Let p be w(-5). Solve p*b = b + 12 for b. 3 Suppose -4*i = 2*i. Suppose r + 4*r = 15. Solve t + r - 2 = i for t. -1 Suppose -6*m + 4*m = -16. Solve 0 = -4*c + 6*c - m for c. 4 Let u be (5/5 - 1)/(-3). Solve u*b - b = 0 for b. 0 Let h(q) = -q**3 - 14*q**2 - q - 14. Let c be h(-14). Solve -u + c*u - 4 = 0 for u. -4 Suppose -5*j = 2*l - 4, 2*j = 3*j + 4*l - 8. Solve 0 = b - j - 3 for b. 3 Let d(h) = 3*h**2 - 2. Let w be d(2). Let u be (-10 + 7)*8/(-3). Suppose q - u = -2*b, 3*q + 4 + 0 = b. Solve b*i - w = -i for i. 2 Let l = 0 + 4. Suppose -k + l*k = h + 64, -2*k + 3*h = -52. Let g = 9 + -7. Solve 2*m + g*m = k for m. 5 Let m = -43 - -43. Solve -4*s + 16 = -m*s for s. 4 Suppose 4*g = 6*g - 8. Let t = g + -5. Let v be 0/((-2)/(t - -3)). Solve v*k = k + 3 for k. -3 Let h(g) = -10*g - 1. Let q be h(-1). Solve k = -2*k - q for k. -3 Suppose 2*s = 3*h + 5*s + 12, 2*s = 0. Let j be (-4)/h*(-6)/2. Let a be -1 - 2 - (-2 + j). Solve 2*i = a + 2 for i. 2 Suppose 0*u + 2*u + 4*s - 6 = 0, -3*s = u + 1. Suppose 2*v = -u - 5. Let o = 13 + v. Solve 0 = -4*p + o - 1 for p. 1 Let c = 10 + -4. Suppose 4*k + 2 = 18. Let n = -4 - -4. Solve -2*p + k + c = n for p. 5 Let v = -105 - -107. Suppose 0 = -3*r + 2*x + 26, -2*r + 3*x + 18 = 2*x. Suppose v*d - r = -3*d. Solve -k - k = -d for k. 1 Suppose 0 = w - 0*w - 2. Suppose -w*g - 5*j = -5*g, -2*j = 5*g. Let a = -5 - -5. Solve g = k - a*k for k. 0 Suppose 4*l - 6 = 10. Suppose 5*i = 10, 52 = k + l*k - 4*i. Solve -2*s = -6*s + k for s. 3 Suppose -3*s + s + 4 = 0. Suppose 3*q - 22 = -4*c - c, -s*q - 2*c = -12. Suppose -n - 4*n = -2*z - 47, 0 = -3*n + 4*z + 31. Solve -i - n = -q*i for i. 3 Suppose -r - 33 = -3. Let x be 2/(-10) + (-6)/r. Solve p + x*p = -1 for p. -1 Suppose -u = -2*u + 4. Let z(i) = i - 1. Let g be z(4). Solve 7*d - g*d = u for d. 1 Suppose -k = -4*k + 18. Suppose 20 = 4*l + 4. Solve l*j - k = 6*j for j. -3 Suppose 3 = 4*d - 5. Suppose 40 = 7*w - d*w. Let j = w + -6. Solve 3*n = j*n for n. 0 Let h(z) = -z**2 + 14*z + 17. Let k be h(15). Solve -k*n + 0 = -4 for n. 2 Let x(i) = i. Suppose 4*b + 25 = u + 4*u, -2*u - 2*b + 10 = 0. Let k be x(u). Solve k*c + 0*c + 25 = 0 for c. -5 Let m(j) be the third derivative of j**5/60 - j**3/6 + 6*j**2. Let y be m(-1). Solve y = -3*o - 0*o for o. 0 Let y(o) be the second derivative of -o**4/12 - 5*o**3/6 + o**2/2 + 4*o. Let t be y(-8). Let l = -13 - t. Solve -4*f = -2*f + l for f. -5 Let l be 3*1/1*3. Let g(q) = q**3 - 12*q**2 - 11*q - 16. Let b be g(13). Let a be (-57)/(-15) - (-2)/b. Solve l = -x + a*x for x. 3 Let i(h) = 3*h - 17. Let n be i(7). Suppose -n - 16 = -2*t. Solve t = -3*y - 2*y for y. -2 Let c(m) = m**3 + 9*m**2 - m - 9. Let y be c(-9). Suppose 5*d = x - 9, 0 = -y*x + 3*x + 4*d - 8. Solve 2*j - 6*j = -x for j. 1 Let z(u) = u + 1. Let f be z(1). Suppose -5*n - 2*m + 4 = -f, 12 = 3*n + 4*m. Solve -2*h + n*h = -2 for h. 1 Let o(m) = 2*m + 8. Let u(i) = 1. Let f(n) = -o(n) + 6*u(n). Let g be f(2). Let q = 10 + g. Solve d = q*d for d. 0 Let j = 1 - -2. Solve -5*m = -j - 2 for m. 1 Suppose 4*g = 2*i + 10, g - 2*i = -6 + 4. Solve m = -g*m + 5 for m. 1 Let b(w) = 5*w**3 + 6*w**2 - 8*w - 3. Let s(d) = -d**3 + d. Let m(n) = -b(n) - 6*s(n). Let p be m(6). Solve -3*h + 6 = p for h. -3 Let n be -2*((-6)/4 - 0). Solve -b = 2*b + n for b. -1 Let x = 13 - 9. Suppose -2*p + 5*u + 34 = 0, 0*u + x*u = -16. Let h be (-2)/p + 4/14. Solve 5*g + 5 = -h*g for g. -1 Suppose 0 = -5*p + 2*p + 6. Solve -3*v = p*v + 10 for v. -2 Suppose 4*z - 5*z - 5*n + 5 = 0, 3*z + 3*n = 3. Solve 3*a + z*a = 0 for a. 0 Let p = 176 + -159. Solve -p - 8 = -5*j for j. 5 Let w = 10 + -14. Let a be (2/w)/((-5)/60). Solve -a + 21 = 3*l for l. 5 Let m(r) = -r**2 - 3*r. Let d be m(-3). Let y = 233 - 227. Solve d*c - 2*c - y = 0 for c. -3 Let v(n) = -2*n + 2. Let l be v(-2). Suppose 5*h = l + 4. So
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from oqqhhoqhqqqqqqhq? 12/91 Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {b: 3, u: 3, j: 5, g: 1, o: 1, p: 4}. 15/136 Three letters picked without replacement from {c: 2, b: 1, t: 3, f: 1, m: 3, y: 1}. What is prob of picking 1 m and 2 t? 3/55 Two letters picked without replacement from uyyiflj. Give prob of picking 1 f and 1 u. 1/21 What is prob of picking 1 m and 3 g when four letters picked without replacement from mggmmmgm? 1/14 What is prob of picking 1 z and 1 s when two letters picked without replacement from pqxszzmq? 1/14 Calculate prob of picking 1 k, 1 y, and 1 p when three letters picked without replacement from {k: 3, p: 1, y: 3}. 9/35 Calculate prob of picking 2 n when two letters picked without replacement from nnhnhhhnhhhhhhhnhhh. 10/171 Four letters picked without replacement from {s: 7, n: 3}. Give prob of picking 4 s. 1/6 Calculate prob of picking 2 o when two letters picked without replacement from {y: 11, o: 2}. 1/78 Calculate prob of picking 2 x and 2 n when four letters picked without replacement from {x: 2, n: 5}. 2/7 Calculate prob of picking 1 z, 2 b, and 1 r when four letters picked without replacement from rdbbdzzbbdr. 4/55 Two letters picked without replacement from ddrdrdd. What is prob of picking 1 r and 1 d? 10/21 What is prob of picking 2 g when two letters picked without replacement from {g: 5, e: 1, n: 4}? 2/9 Four letters picked without replacement from {o: 2, z: 4, w: 5}. Give prob of picking 2 z, 1 o, and 1 w. 2/11 What is prob of picking 2 a and 2 o when four letters picked without replacement from oarwrsoa? 1/70 Four letters picked without replacement from {a: 2, m: 2, d: 4}. What is prob of picking 1 a, 1 m, and 2 d? 12/35 Two letters picked without replacement from xygpiqiiigpyiq. Give prob of picking 1 p and 1 q. 4/91 What is prob of picking 1 q and 1 c when two letters picked without replacement from qcppssp? 1/21 Two letters picked without replacement from ffufygffuu. Give prob of picking 1 f and 1 g. 1/9 Two letters picked without replacement from {c: 2, n: 2, x: 1}. What is prob of picking 2 n? 1/10 Calculate prob of picking 2 y and 1 d when three letters picked without replacement from kaedekdddddddydykkd. 10/969 Three letters picked without replacement from fjuufuuluuj. What is prob of picking 1 f, 1 j, and 1 l? 4/165 Two letters picked without replacement from {a: 3, c: 5}. What is prob of picking 1 a and 1 c? 15/28 Two letters picked without replacement from {m: 4}. What is prob of picking 2 m? 1 Calculate prob of picking 2 b and 1 k when three letters picked without replacement from {i: 2, z: 1, b: 4, k: 4}. 8/55 Two letters picked without replacement from {c: 1, j: 1, p: 8, n: 2, t: 2}. What is prob of picking 2 p? 4/13 Three letters picked without replacement from jjppnnmpjpjjpnj. Give prob of picking 3 n. 1/455 Calculate prob of picking 1 l, 2 t, and 1 j when four letters picked without replacement from ljttlljlj. 2/21 What is prob of picking 1 b and 1 k when two letters picked without replacement from {c: 1, b: 1, u: 1, t: 1, k: 1}? 1/10 What is prob of picking 2 k when two letters picked without replacement from {k: 2, x: 7}? 1/36 Three letters picked without replacement from rrrhhrhhhhrhhhhhhh. Give prob of picking 3 h. 143/408 What is prob of picking 1 x and 1 h when two letters picked without replacement from {t: 1, x: 5, h: 5}? 5/11 Three letters picked without replacement from oiickkkk. Give prob of picking 1 o, 1 c, and 1 i. 1/28 Calculate prob of picking 2 d when two letters picked without replacement from ddyvvdyddvvvdd. 3/13 Two letters picked without replacement from ddddcddddddddddddddd. Give prob of picking 1 c and 1 d. 1/10 Three letters picked without replacement from yyryr. What is prob of picking 2 r and 1 y? 3/10 Two letters picked without replacement from {a: 3, g: 3, j: 3, p: 3}. Give prob of picking 2 g. 1/22 Two letters picked without replacement from vgqpovooogpb. Give prob of picking 1 p and 1 o. 4/33 What is prob of picking 1 k and 1 f when two letters picked without replacement from {k: 2, f: 4, y: 4}? 8/45 Two letters picked without replacement from {z: 5, l: 1, v: 2, n: 1, i: 1}. What is prob of picking 2 v? 1/45 Four letters picked without replacement from {d: 4, w: 15}. What is prob of picking 1 w and 3 d? 5/323 Calculate prob of picking 1 c and 3 b when four letters picked without replacement from {c: 3, b: 13}. 33/70 What is prob of picking 1 q and 1 l when two letters picked without replacement from {m: 1, l: 4, d: 1, q: 2}? 2/7 Four letters picked without replacement from {s: 2, r: 2, k: 1, f: 1}. Give prob of picking 3 f and 1 k. 0 Calculate prob of picking 1 q and 1 h when two letters picked without replacement from hqkhqkkqqhkhhhkkt. 3/17 Two letters picked without replacement from {u: 3, b: 2, g: 4, v: 2}. What is prob of picking 1 g and 1 v? 8/55 Two letters picked without replacement from {m: 6, j: 2}. What is prob of picking 2 j? 1/28 Two letters picked without replacement from {g: 7, h: 6}. What is prob of picking 2 h? 5/26 Four letters picked without replacement from hhapphhahap. What is prob of picking 1 p and 3 a? 1/110 Two letters picked without replacement from {i: 2, n: 4, k: 10}. What is prob of picking 2 i? 1/120 Two letters picked without replacement from {w: 2, r: 5, u: 4, f: 2, d: 1}. What is prob of picking 2 w? 1/91 Calculate prob of picking 1 j, 1 i, and 1 n when three letters picked without replacement from {n: 3, j: 1, u: 1, f: 1, i: 2, d: 4}. 3/110 What is prob of picking 1 a and 3 w when four letters picked without replacement from wwxpywywa? 2/63 What is prob of picking 1 w, 1 f, 1 b, and 1 r when four letters picked without replacement from {v: 2, b: 6, x: 2, f: 2, w: 1, r: 4}? 12/595 Two letters picked without replacement from {o: 2, y: 1, d: 1}. What is prob of picking 2 o? 1/6 Calculate prob of picking 2 h when two letters picked without replacement from oohooggmojjhmpomgg. 1/153 Four letters picked without replacement from xydxddddxyyydddx. Give prob of picking 2 d, 1 y, and 1 x. 16/65 What is prob of picking 1 h, 1 y, and 1 i when three letters picked without replacement from hihhhyhhyvhhyvyhihh? 88/969 Three letters picked without replacement from ezhhxxxhhxxhhhqzhxhx. What is prob of picking 2 z and 1 h? 3/380 Calculate prob of picking 2 l when two letters picked without replacement from kslysykkzkyyksyyslyk. 1/190 What is prob of picking 2 b when two letters picked without replacement from {s: 1, h: 2, f: 1, u: 1, p: 1, b: 2}? 1/28 Two letters picked without replacement from gggggfgg. Give prob of picking 2 g. 3/4 Calculate prob of picking 1 z, 1 x, 1 u, and 1 c when four letters picked without replacement from {z: 2, c: 2, o: 3, u: 6, x: 6}. 12/323 What is prob of picking 1 b and 1 i when two letters picked without replacement from {g: 2, n: 4, i: 1, b: 1}? 1/28 Four letters picked without replacement from {o: 1, u: 1, c: 4, d: 2, y: 1}. Give prob of picking 1 u, 1 c, 1 o, and 1 y. 2/63 Four letters picked without replacement from grzgrigigzgirzgerg. What is prob of picking 3 r and 1 e? 1/765 Four letters picked without replacement from {y: 7, t: 7}. Give prob of picking 4 t. 5/143 Two letters picked without replacement from mnkuuhx. What is prob of picking 1 n and 1 x? 1/21 Three letters picked without replacement from jyjjjjjyjyj. Give prob of picking 2 j and 1 y. 28/55 Three letters picked without replacement from rwtttkhrkzzzkkzkkhzz. Give prob of picking 1 t, 1 w, and 1 z. 3/190 Two letters picked without replacement from ayhhcayhxa. Give prob of picking 1 h and 1 x. 1/15 Two letters picked without replacement from zzzxuxszg. Give prob of picking 1 u and 1 z. 1/9 Calculate prob of picking 1 c and 2 f when three letters picked without replacement from {c: 1, p: 2, b: 1, f: 2}. 1/20 Calculate prob of picking 3 e and 1 i when four letters picked without replacement from eiiiiieieii. 4/165 Calculate prob of picking 1 b and 1 f when two letters picked without replacement from iclcbmfbf. 1/9 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, n: 2, z: 1, l: 1, g: 2, f: 1}. 1/28 Two letters picke
{ "pile_set_name": "DM Mathematics" }
00 Suppose 2379996 = 31*q - 30*q. Suppose -4*a - 5*c + 2*c = -4760012, -c = -2*a + q. What is a rounded to the nearest 100000? 1200000 Let d(q) = q**2 + 9*q - 43. Let l be d(-13). Let h(i) = i**3 + 4*i**2 + 9*i + 10. Let o be h(l). Round o to the nearest one hundred. 1100 Let j = -254.97 - -6.97. Let u = 247.999634 + j. Round u to 4 dps. -0.0004 Let c = -1.354994 - -1.3696. Round c to 3 dps. 0.015 Let r = -13702 - -13705.8154. What is r rounded to 2 dps? 3.82 Let m(w) = 2*w**3 + 10*w**2 + 8*w + 40. Let x be m(-5). Suppose 94091 = l + 3*v, -2*l - 4*v + 188188 = -x*v. What is l rounded to the nearest ten thousand? 90000 Let l = -3357.956169 + 0.056169. Round l to the nearest one thousand. -3000 Let y = 71 + -71.007784. Round y to three dps. -0.008 Let g = -33378 - -33377.99999898498. What is g rounded to seven dps? -0.000001 Let d = 1.819 - 1845.819. Let i = 1843.99998639 + d. What is i rounded to 6 dps? -0.000014 Let n = -950 - -949.98669. Round n to four decimal places. -0.0133 Let s = 809135.252 + -806899. Let m = s + -2232. Round m to one decimal place. 4.3 Suppose -15616398 = -b + 3*i, 3*i - 52196173 = -5*b + 25885799. Let w = -23796395 + b. Round w to the nearest one million. -8000000 Let k = -255.8954 + -7793399.1046. Let m = k + 7794247.9553. Let n = 593 - m. Round n to 2 decimal places. 0.04 Let c = -1504.50042231 + 1504.5. Round c to 6 dps. -0.000422 Let g = -13.56252 - 381.46408. Let c = 395 + g. Round c to 3 decimal places. -0.027 Let q(l) = -2*l**2 - 17955747 - l**3 - 3*l - 644253 + l + 4*l. Let a be q(0). Round a to the nearest 1000000. -19000000 Let f(p) = 93*p**2 - 32*p + 128. Let j(b) = 46*b**2 - 16*b + 65. Let v(h) = -3*f(h) + 7*j(h). Let i be v(9). What is i rounded to the nearest one hundred? 3400 Let z = 3861.63 - 3906. Let a = z - -63.06. What is a rounded to the nearest integer? 19 Let p = -6643.6383 + 6646. What is p rounded to 2 decimal places? 2.36 Let a = -78.821 - -19.02. What is a rounded to the nearest 10? -60 Let n = -1240 - -1239.9985205. Round n to five decimal places. -0.00148 Let y(s) = 4*s**2 - 12*s + 28. Let j be y(-51). Suppose -51*v - j = -40*v. Round v to the nearest one hundred. -1000 Suppose -3*c - 9 = 0, 4*c - 8 + 24 = -4*o. Let j(t) = -39998*t**2 + t - 1. Let f be j(o). What is f rounded to the nearest 100000? 0 Suppose -11*p + 12 = -43. Suppose 0 = p*t - 3*u - 44, -5*t - 4*u + 3*u + 32 = 0. Let h be (-7)/(t/720)*(-66)/(-44). Round h to the nearest one hundred. -1100 Suppose 0 = -71*u + 79*u - 4286454992. Suppose u - 171326874 = -17*v. Round v to the nearest 1000000. -21000000 Let z = -122 + 125. Suppose -4*k + 5*v + 203519916 = 0, 101759968 = -k + z*k - 5*v. Suppose -4*s + 5279974 = k. What is s rounded to the nearest one million? -11000000 Let u = 203316 - 203316.000116673. What is u rounded to six dps? -0.000117 Let i = -3153.9164 - -3154. Round i to one dp. 0.1 Suppose -174*t = -42*t + 1933704 + 452196. Round t to the nearest 1000. -18000 Let j(h) be the second derivative of -43*h**4/12 + 17*h**3/6 - 2*h**2 + 6*h + 1. Let t be j(8). What is t rounded to the nearest 100? -2600 Let r = 2581222 + -1198426. Let u = r - -2237204. What is u rounded to the nearest one hundred thousand? 3600000 Let y = -3163 + 3163.000841. Round y to three decimal places. 0.001 Let l = 1695181631 - 1695181595.60504661. Let t = 0.39485539 - l. Let b = t + 35. Round b to five dps. -0.0001 Let h = 574.8 - 571.3425. What is h rounded to 1 decimal place? 3.5 Let z = -414 + 803. Let q = -399.78 - 5.92. Let y = q + z. What is y rounded to the nearest integer? -17 Let g = 500.0086 + -0.0086. Let q = g - 500.00000339. Round q to six decimal places. -0.000003 Let o = -0.0497 + 142.5497. Let w = o + -142.50000709. Round w to 6 decimal places. -0.000007 Let b = -256 + 256.383. Let y = b - 0.48. Round y to 1 dp. -0.1 Let a = 1032 - -1003. Let z = a + -2035.43984. Let j = z - -0.44. Round j to four dps. 0.0002 Let n(s) = -24201*s + 38. Let w be n(29). Let q = w + 1019791. Round q to the nearest 100000. 300000 Suppose -16*a + 17*a - 1 = 4*h, a = 5*h + 1. Suppose p + 4*j - 16040016 = 5*p, -p + 2*j - 4010008 = h. Round p to the nearest one million. -4000000 Let v = -2667.09 - -2678. Let w = 11 - v. What is w rounded to one decimal place? 0.1 Let n = 26.865506 + -376.86585. Let h = n - -350. Round h to four decimal places. -0.0003 Let b = 16335308 - 10390308. What is b rounded to the nearest 100000? 5900000 Suppose -4*m - 40 = 2*d, 3*d + 24 = 5*m - 2*m. Let t = 17 + d. Let c(q) = -88000*q**2 - 8*q + 40. Let w be c(t). What is w rounded to the nearest one million? -2000000 Let a(r) = -r**3 - 9*r**2 + 12*r + 23. Let q be a(-10). Let n(b) = 28*b + 6. Let w be n(q). Suppose 14*i - w = 17*i. Round i to the nearest 10. -30 Suppose -u - 3 = 0, -2*u - 9255 = 2*n + 3*u. What is n rounded to the nearest one hundred? -4600 Let f = 2009 + -2001.368. Round f to zero decimal places. 8 Suppose -2*p - 26 = -36. Suppose 0*u + p*u + 3*x + 1 = 0, -4*x + 12 = 0. Let c be 2 + -330998 - (2 + u/(-1)). What is c rounded to the nearest 10000? -330000 Let l = -0.1434 - -0.16. Let k = l - 65.3166. What is k rounded to the nearest ten? -70 Let s = 4504 + -4504.1192. What is s rounded to 3 dps? -0.119 Let s = 4425 - 4425.0019027. Round s to four dps. -0.0019 Let a = -5099.015 + 5088. Let t = 4 - -7. Let c = a + t. What is c rounded to two decimal places? -0.02 Let y = -106 + 111.2. Let v = y - 5.200498. Round v to four dps. -0.0005 Let x = 0.01606 - 0.005147. Round x to four dps. 0.0109 Let w = -46029 - -171603. Round w to the nearest one thousand. 126000 Let o = -534117 - -534369.893. Let h = o - 253. Let k = -0.007 - h. Round k to the nearest integer. 0 Let o be ((-25)/10)/(-5)*-6. Let q be (o + 636003)/((-2)/(-150)). Round q to the nearest one million. 48000000 Suppose -8*h + 6*h = -77210. Suppose 0 = r - g + 9645, -5*r = -r + g + h. Round r to the nearest 1000. -10000 Let d = -7.3809 - -7.560294. Round d to 3 dps. 0.179 Let f = 52.7073 - 0.0073. Let v = -96 - f. Let s = -155 - v. Round s to 0 decimal places. -6 Let d = -438313.48 + 438297.4800227. Let n = d + 16. Round n to 6 dps. 0.000023 Let a = 95328 - 95332.0999. Let o = -54 + 49.9. Let z = a - o. What is z rounded to 4 decimal places? 0.0001 Let v = -21268.0374 - -21365.938057. Let l = v - 97.9. Round l to four dps. 0.0007 Let l = 13122 + 688. What is l rounded to the nearest one thousand? 14000 Let c = 1031 + -562. Let b = c - 468.999771. Round b to 4 decimal places. 0.0002 Let b(i) be the second derivative of -713*i**5/20 + 3*i**4/4 - 7*i**3/6 + 15*i**2 - 5*i + 4. Let k be b(-10). Round k to the nearest 10000. 710000 Let q(z) = -5*z + 30. Let g be q(7). Let l be (-2)/g - (13/(-5) - -3). Let j be -1 + l - (-7 + 70006). What is j rounded to the nearest one hundred thousand? -100000 Suppose 16 + 8 = 3*f. Let r be f/(-4)*(-3)/3. Suppose -r*b = 5*v - 992, 0 = -3*b - b - 2*v + 2000. Round b to the nearest 100. 500 Let b(d) be the first derivative of -123*d**2 - 4*d + 3. Let l be b(11). What is l rounded to the nearest one hundred? -2700 Let b be (-15)/5 + -9 + 113602. Round b to the nearest one thousand. 114000 Let n = 3.6110479 + -7.1810697. Let p = 3.57 + n. Round p to 6 dps. -0.000022 Let r = 898.1 + -919. Let g = -19.583 - r. What is g rounded to 1 dp? 1.3 Suppose -4*b + 20 = 12. Suppose 0 = -3*j - 4*w + 4, b*w = -j + 5*w - 3. Suppose y + 4*y + v + 364 = j, -74 = y - v. Round y to the nearest 10. -70 Let a = 25988599 - -7832678. Let y = 58321277 - a. What is y rounded to the nearest 1000000? 25000000 Let d = 131432.067 - 131337. Let f = -95 + d. What is f rounded to 1 dp? 0.1 Let z(r) = -r**2 + r + 1. Let u be z(2). Let k be (-3)/(-3) + -1 + (u - 1541748). Let a = -2941749 - k. What is a rounded to the nearest 100000? -1400000 Let d = 112 - 112.099. Let g = d - -11.799. Let p = g - 0.6. What is p rounded to 0 decimal places? 11 Suppose 0 = -3*t + 3, 0*t - 2*t + 552491610 = 4*m. Suppose 2*a + 85677098 = -m. Round a to the nearest 1000000. -112000000 Let p = 18175 - 18209.0075. Let z = -0.37 + 34.37. Let g = p + z. What is g rounded to 3 decimal places? -0.008 Let j = 956 + -612. Let b = 345.91 - j. Let v = b + -1.91000113. Round v to seven decimal places. -0.0000011 Let w = -683 + 1142. Let c = w - 458.999
{ "pile_set_name": "DM Mathematics" }
-46, 0*w = -2*w - 4*r - 58. Let u = w + 20. Let a(n) = 0 - 3 + 3 - 6*n. Give a(u). 6 Let g(d) be the first derivative of 6*d**2 - 39*d - 823. Give g(3). -3 Let m be 0*(30/3)/(-10). Let d(q) be the third derivative of -2*q**2 + 0*q + q**3 + 1/8*q**4 + m. Calculate d(-5). -9 Suppose -8 = -6*x - 38. Let s(b) = 3*b**3 - 10*b**2 + 3*b + 6. Let c(n) = -2*n**3 + 5*n**2 - 2*n - 3. Let p(z) = x*c(z) - 3*s(z). Determine p(-5). -8 Suppose 0 = 8*v - 9*v. Let d(g) = 4*g**2 + g - 12. Let o(q) = -q**2 + 1. Let f(s) = d(s) + 5*o(s). Determine f(v). -7 Let n(t) be the third derivative of -t**5/60 + t**4/6 + 5*t**3/3 - t**2 + 42. Calculate n(7). -11 Suppose -3*s - 15 = -12. Let q be (2/(-2) + -14)*s/(-3). Let o(g) = 3*g + 2. Determine o(q). -13 Let t(q) = 2 + q**2 + 2 + q**2 - 4*q + q**3 - 3. Suppose -o + 6*m - 3*m = 9, 3*m = -2*o - 36. Let v = o + 12. What is t(v)? 4 Let j(q) = -3*q - 86 - 77 - q**2 + 184. Give j(-6). 3 Let b(q) = -q**3 + q**2 - q - 3. Let i(r) = -r + r**3 - 5*r**2 - 2*r - 3*r. Let v be 2 + 2*(-2 + 4). Let x be i(v). What is b(x)? -3 Suppose -21 = 3*k - 4*b, k - 2*b + 10 = 3. Let a be (5 + -1 + k)*1. Let p(v) be the first derivative of v**3/3 + 2*v**2 + 3*v + 3. Determine p(a). 0 Let p(z) = 2 - 7 - 2*z + 2*z**2 + 5*z - 1. Let a be p(-4). Let x(q) = -6*q + 14 - a. What is x(-2)? 12 Let f(o) = -4*o - o**2 + o - 3*o + 1. Let g(w) = w + 14. Let u be g(-12). Suppose -39 = -u*s + 15*s. Calculate f(s). 10 Let j(t) be the second derivative of -t**4/12 - 5*t**3/6 + 2*t. Let z = 159 + -164. What is j(z)? 0 Let h(u) = -u**3 + u**2 + 2*u + 2. Let m = -61 + 89. Let d be 5/(-2)*m/35. What is h(d)? 10 Let a(z) = -z**2 + 1. Suppose 0 = -3*u + 2*h + 15, -4*u - u + 21 = -2*h. Suppose -5*g - 17 = -u*c, 3 + 9 = -3*g. Give a(c). 0 Let w(x) = -x - 15. Suppose 27*q = 101 + 34. Calculate w(q). -20 Suppose 0 - 15 = -3*s. Suppose s*v - 3 - 12 = 0. Let j(b) = 1 - 8*b + 1 - 9*b**2 - b**3 - v. What is j(-8)? -1 Suppose 10*t = 9 + 21. Let x be t - (1 - (-4)/(-1)). Let s(a) = 2*a - 6. Calculate s(x). 6 Let s(u) = 6*u**2 - 2*u - 1. Let b be (-96)/(-21) - 4/7. Suppose 15 = -b*h + 11. Calculate s(h). 7 Let p(c) = c**3 + 11*c**2 - 27*c + 6. Let h be p(-13). Suppose -h = 6*r - 25. Let b(m) = -5*m - 1. What is b(r)? -6 Let g = 449/1329 - 2/443. Let b(n) be the first derivative of -n + g*n**3 + n**2 + 4. Give b(3). 14 Let x(s) be the third derivative of s**6/60 - s**5/12 + 7*s**4/24 + s**3/6 - 58*s**2 + 8*s. Give x(3). 31 Let v(w) = -w**3 + 5*w**2 + w - 1. Suppose 0 = 4*u - 10*u. Let m(h) = h + 5. Let a be m(u). Determine v(a). 4 Let x(r) = 26*r - 30. Let f be x(1). Let m(y) be the first derivative of -y**2/2 + 3*y - 1. Calculate m(f). 7 Suppose 85*n + 4 = 87*n. Suppose 0 = 5*h - n*p + 30, 0 = -h - 3*p - 17 - 6. Let u(f) = -f**2 - 8*f + 1. Give u(h). 1 Let u(v) = v**3 - 5*v**2 + 3*v - 3. Suppose 3*p + 2*p - 40 = 0. Let m(l) = 4 + p*l**2 + l**2 - 8*l - 10*l**2 + 2*l. Let t be m(-6). Determine u(t). -7 Let y(t) = 2*t + 1. Let m = 7 - -104. Let j = -115 + m. Calculate y(j). -7 Let f(d) = d**3 - 5*d**2 + 5*d - 1. Suppose v + 3*t - 20 = 0, 4*t - 29 = -3*v + 11. Let a be (-1 + 2)*(12 - v). Determine f(a). 3 Let f(v) = v**2 - 5*v + 5. Let i be f(5). Suppose 3*a = -2*a - 2*g - 12, 24 = -i*a + g. Let s(u) = -9 + 6 + 223*u**2 + 3*u - 107*u**2 - 115*u**2. Give s(a). 1 Suppose 5*q + 2*g - 24 = 0, q - g = 6*q - 22. Let b(a) = -a**3 + 3*a**2 - a + 3. Determine b(q). -17 Let l(b) = 7*b**3 + 11*b**2 + 2*b - 3. Let r be 7 + (-41)/3 + 2/3. Let h(i) = -i**3 - i**2 + 1. Let z(u) = r*h(u) - l(u). Calculate z(-2). -11 Let a(s) = 0 + s**2 + 11 + 0 - 5. Let d(w) = w. Let n be d(0). Calculate a(n). 6 Let y(u) = 11*u**2 - 7*u**2 + 2 + 2*u - 3*u**2 - 6*u. Calculate y(7). 23 Suppose 0 = l - 14*l - 143. Let f(w) = w**3 + 11*w**2 + 4. Let y be f(l). Let d(b) = -b**3 + 3*b**2 + 4*b - 1. Calculate d(y). -1 Let p(o) be the second derivative of 33*o + 2*o**2 - 1/3*o**3 + 0. Give p(5). -6 Let t(f) = -18031 - f**3 - f**2 - 4*f + 18036 + 0*f**2. Give t(0). 5 Let t(l) be the second derivative of 0 + 3*l**2 + 1/12*l**4 + 2/3*l**3 - 6*l. Give t(-4). 6 Let f(m) = 5*m**3 + 1 - 36*m**2 + 30*m**2 - 5*m - 4*m**3. Calculate f(6). -29 Let a(m) = -m**3 - m**2 - m. Suppose 8 = -2*r + 6. Let f(z) = -2*z**3 + 2*z**2 - 5*z - 6. Let c(h) = r*f(h) + 3*a(h). Calculate c(-5). -4 Let a(g) = 3 - 2 - 11*g**2 + 0*g + g. Let v = 73 + -74. Determine a(v). -11 Suppose -4*s + 39 = b, -4*b = -3*s - b + 33. Suppose u = 2*u - s. Suppose 0 = -4*i - 2 + u. Let j(f) = 2*f**2 + 3*f - 2. Determine j(i). 12 Let u(x) = 4*x**2 + 27*x**2 + 2*x + 5 - 15*x**2 - 15*x**2. Determine u(-4). 13 Let a be (-5)/3*108/(-30). Let v(b) = 2*b**2 - 7*b - 7. Let q be v(a). Let r(k) = -3 - k**3 + q*k - 23*k + 5*k**2. Give r(5). -3 Let y(l) be the second derivative of l**5/20 + 17*l**4/12 + 17*l**3/6 - 4*l**2 - 235*l - 1. Determine y(-16). -24 Let t(w) = 4*w + 5*w**2 + w**2 - 5*w**2 + 0*w. Let r(q) = -q. Let x(a) = -6*r(a) - t(a). Suppose 56*m - 55*m = 2. Calculate x(m). 0 Let q(u) = 4*u + 2. Let r = 1137 - 1144. What is q(r)? -26 Let n(i) = -2*i**2 + 246. Let m be n(-11). Let w(c) be the first derivative of c**2 + c - 1. Give w(m). 9 Let k(i) = 16*i - 100. Let q(j) = 11*j - 60. Let z be q(6). Give k(z). -4 Let k(g) = g**2 + 5*g + 4. Let b(u) = 6 - 3 + u**2 - 16*u + 20*u. Let n(l) = 6*b(l) - 5*k(l). Determine n(0). -2 Let w(q) = q**3 + 8*q**2 + 6*q - 7. Let o = -60 - -59. Let f be o/((-1)/(-7)*2/2). What is w(f)? 0 Suppose -6*q + 15 = -q. Let u(l) = 9 + l - q - 2*l + 2*l. Let n be u(-4). Let c(p) = -4*p - 2. Determine c(n). -10 Let a = 13 + -8. Let p(c) = -6*c + 1. Determine p(a). -29 Let b(x) = 18*x**2 + x - 4. Let z(m) = 35*m**2 + 2*m - 8. Let v(d) = 5*b(d) - 3*z(d). Let q(o) = -15*o**2 - o + 3. Let k(l) = 3*q(l) - 2*v(l). Determine k(1). -15 Let h(q) = q**3 - 4*q**2 + 2*q - 4. Let g be h(3). Let y(i) = i + 580*i**2 + 6*i - 292*i**2 + 3 - 287*i**2. Give y(g). 3 Let h = -205 - -207. Let k(i) be the first derivative of 10 - 1/3*i**3 - 2*i - 5/2*i**h. Determine k(-3). 4 Let y(q) = 2*q**3 + 9*q**2 - q - 3. Suppose -5*b - i - 25 = 0, -16*b + 3*i = -12*b + 1. What is y(b)? 17 Let h be 3 + 1 - (9 - 5). Suppose y - 5 = h, 4*a + 3*y - 23 = -4. Let s(g) = -2*g**2 - 1. What is s(a)? -3 Let g(f) = -2*f**2 - 8*f. Let i(b) = b**2 + 4*b. Let r(w) = w**3 + 16*w**2 - 16*w + 12. Let v be r(-17). Let y(t) = v*i(t) - 2*g(t). Give y(-3). 3 Let r(c) be the third derivative of -1/120*c**6 - 5/24*c**4 + 2*c**2 + 0 - c**3 - 19*c + 1/10*c**5. Suppose -20 = -o - 3*o. What is r(o)? -6 Suppose -8*r + 2*r = -0*r. Suppose 0*w + 3*w - 4*t - 6 = 0, r = w - 5*t - 2. Let h(q) = -2*q**2 + q - 1. What is h(w)? -7 Let z(f) = f + 14. Suppose -45*c = -57*c - 192. Suppose 3*g - 20 = g. Let h = c + g. Determine z(h). 8 Let t(q) be the first derivative of -q**2/2 - 4*q + 201. Calculate t(-14). 10 Suppose t + x = 2*t - 11, 38 = 3*t - 2*x. Suppose 8*y - 32 = t. Let z(a) = -a**3 + 5*a**2 + 5*a + 7. What is z(y)? 1 Let g be 70/(-56)*48/1. Let k = -57 - g. Let n(f) = -2*f + 2. Give n(k). -4 Let g(p) = -p**3 + 10*p**2 + p - 10. Suppose 60 = 2*k + 4*k. What is g(k)? 0 Let g(j) = 2*j**3 + 19*j**2 - j + 14. Let c(u) = -3*u**3 - 29*u**2 + 2*u - 22. Let h(l) = -5*c(l) - 8*g(l). Calculate h(-6). -26 Let u = 24 + -85. Let x = 64 + u. Let s(j) = -j**3 + j**2 + 4*j - 1. Calculate s(x). -7 Let h(i) = 3*i**2 + 2*i - 1. Let n(o) = -o + 2. Let q(a) = h(a) + n(a). Suppose -2*r = 2*r - 40. Let b be 6/(-15) + (-6)/r. Determine q(b). 3 Let b = 15 - 12. Suppose 0 = 5*v - b*v - 14. Let a(c) = -4*c**2 - 2*c**2 + v*c**2. Determine a(-2). 4 Let m(z) = 8*z**2 - 3*z**2 - 4*z**2 - 40*z + 47*z - 2*z**2 + 12. What is m(9)? -6 Let n(g) be the first derivative of 4*g**2 + 2*g + 344. What is n(4)? 34 Let x(f) = -9 + 34*f - 16*f - 17*f. Determine x(10). 1 Let w = 168 + -178. Let n(i) = i**2 + 10*i + 5. Calculate n(w). 5 Let b(p) = -4*p - 5. Let q be b(-3). Let x(z) = -3*z + 322 - z**2 - q*z - 333. What is x(-9)? -2 Let g(n) = n**3 - 4*n**2 - 6*n - 8. Suppose -7*x - 18 = -10*x. Calculate g(x). 28 Let d(o) be the first derivative of o**2 + 3*o - 9. Let y be (8/6)/(6/27). Give d(y). 15 Let o(i) = -5*i - 1. Let v = 12 - 11. Suppose -2*d - 4 = 0, 3*d + v = 4*t - 1. Let g be 1*2/2*t. Give o(g). 4 Let i(a) = 2*a + 2. Let w be i(-2). Let q be 8 - 1 - 0
{ "pile_set_name": "DM Mathematics" }
5*j + 3*a. Round j to the nearest ten thousand. 0 Let p = -2237906 + 3199165. Let b = 380757 + -812016. Let u = b + p. Round u to the nearest one hundred thousand. 500000 Let m = 121879.25 + -150148. Let v = -28258.749976 - m. Let n = 10 - v. Round n to five dps. -0.00002 Let f = -9 - -59. Let u = 1386056.00084 + -1386106. Let s = u + f. What is s rounded to four dps? 0.0008 Let m = -7.8083536934026 - -69120862.8083866934026. Let b = m - 69120827. Let k = 28 - b. What is k rounded to 5 dps? -0.00003 Let r = 31 + -30.916. Round r to 2 dps. 0.08 Let i = 8 + -15. Let f = i + 4. Let o = -2.99 - f. Round o to 2 decimal places. 0.01 Suppose 0 = 4*f - 3*f - 15. Suppose 3*k = f, -3*k = 3*v + v - 2895. Round v to the nearest 100. 700 Let y = 1.6 - 0.7. Let o = y - 0.9152. What is o rounded to three decimal places? -0.015 Let f be (96*5*6)/(30/(-137500)). What is f rounded to the nearest one million? -13000000 Let l = -0.0735 + 0.1338. Round l to two dps. 0.06 Let t(a) = 3*a + 3 - 1 + 13*a**3 - 6 - 3*a**2 + a. Let o be t(-4). What is o rounded to the nearest 1000? -1000 Let r = 111.0047 - 111. Round r to 3 dps. 0.005 Let b be (1 - (2008 + -7))*934/(-4). Round b to the nearest 100000. 500000 Let l = -13.7 - -13. Let u = l + 0.75. Let a = u + 0.2. Round a to one dp. 0.3 Let t = 0.8 - 1. Let c = t + 0.2. Let u = 0.00001 - c. Round u to 5 decimal places. 0.00001 Let z be 0/(2 - 0) + 3. Let r be (z/6)/(2/(-2396)). Let o be 55*(r + -1 + 0). What is o rounded to the nearest ten thousand? -30000 Suppose 0*b - 2*r - 1126 = -4*b, -20 = 4*r. Suppose -4*y - 321 = 4*t + b, -2*y = -2*t - 300. Round t to the nearest one hundred. -200 Let v be ((-71)/1)/(4/20). Let u = 501 + v. Suppose -m - u = 2*l, 8*m - 3*l = 3*m - 756. Round m to the nearest one hundred. -200 Suppose -3*u = 2*w - 4580003, 5*w = w + 2*u + 9159998. What is w rounded to the nearest 100000? 2300000 Let i be 42126679 + (-1 - -2 - 2). Let u = i + -19926678. Suppose j + u = -2*j. What is j rounded to the nearest one million? -7000000 Let m = 0.041533 - 3.294493. Let z = m + 1.15274. Let f = 2.1 + z. What is f rounded to 4 decimal places? -0.0002 Let x be 2/5 - (-28)/5. Suppose x*m - 4300000 = m. Round m to the nearest 100000. 900000 Let n = -0.204146 - -0.104105. Let l = n + 0.1. Round l to five dps. -0.00004 Suppose i - 2401 = -321. Round i to the nearest one hundred. 2100 Suppose -2*m = -0*m. Suppose -u - 7 = -m*u. What is u rounded to the nearest integer? -7 Let r = 5602446.990048 + -5602335. Let u = 112 - r. Let i = u + -0.01. Round i to five dps. -0.00005 Let a = 0.299996 + -0.3. Round a to 5 decimal places. 0 Let o be ((-42)/35)/(6/(-20)). Suppose o*u + 0*u + 32 = 0. Let h be u/36 + 89099998/(-9). What is h rounded to the nearest one million? -10000000 Let w(k) = -k**3 + 4*k**2 - 1. Let h be w(3). Let u = 11 - h. Suppose -d - 7 = u. What is d rounded to the nearest 100? 0 Let v = -3 + 4. Suppose v - 19 = 2*d. Let j be 4*(-15)/d*46500. What is j rounded to the nearest 100000? 300000 Let u(i) = 30000*i**3 - i**2 + i. Let j be (2/4)/(2/4). Let o be u(j). Round o to the nearest ten thousand. 30000 Let h = 66.999995 + -67. What is h rounded to five decimal places? -0.00001 Let x = -3.2 + 3.49. Let o = x - 0.188. Let c = -0.08 + o. Round c to 2 dps. 0.02 Let y = -13.004 + 13. What is y rounded to two decimal places? 0 Let c = 68.58 + -106.41. Let y = -36.2 - c. Round y to one decimal place. 1.6 Let w = 2.48 - 0.08. Let m = 2.84 - w. What is m rounded to 1 dp? 0.4 Let o = 4.9939786 + 0.0060014. Let l = o - 5. Round l to five decimal places. -0.00002 Let x = 26282 + -3516. Suppose 2*t - 45518 = -0*o + 3*o, -t + 5*o = -x. Let k = t + 22244. Round k to the nearest ten thousand. 50000 Let z(c) = c**3 + c**2 + c + 3. Let n be z(0). Suppose -8*i - 4499996 = -n*i - m, m + 4500004 = -5*i. What is i rounded to the nearest 1000000? -1000000 Let s = -1901.3 + 1801. Let i = s + 106. Let q = i + -5.70062. Round q to four decimal places. -0.0006 Let j be 2/(-5) + 885658/(-5). Let z = j - -276132. What is z rounded to the nearest 10000? 100000 Let x = 3 - -2. Let p = -16.5 + x. Let z = p + 6.1. Round z to the nearest integer. -5 Let c = 5.98 - 6. Let u = c - -0.01. Round u to one decimal place. 0 Let k = 1614785 - 1614716.959936. Let t = k + -68. Let f = t - 0.04. Round f to five decimal places. 0.00006 Let m = -276.49377666 + 272.093775. Let l = m + 4.4. Round l to seven decimal places. -0.0000017 Let i = -0.03 + -2.97. Let y = i - -2.99999948. What is y rounded to seven decimal places? -0.0000005 Suppose 2548 = 4*w - q - 2*q, -4*w = -2*q - 2548. Suppose w = t - 764. Let n be t/5 - 4/20. Round n to the nearest one hundred. 300 Let h = 92084952.0000014 - 92084942. Let l = 17 - 27. Let i = h + l. Round i to six dps. 0.000001 Let z(w) = 4 - 6 + 0*w - 3*w + 6. Let l be z(-5). Let u be (1 + l)*(3407 - 7). What is u rounded to the nearest 10000? 70000 Let h(a) = -8 + 2 - 3*a + 10*a**2 - 4*a**2. Let f be h(5). Round f to the nearest 10. 130 Let n = -220 + 157. Let h = n - -25. Let l = -37.99999954 - h. Round l to seven dps. 0.0000005 Let w(i) = -i**2 - 5*i - 5. Let p be w(-5). Let k(n) = 0 - 7 + 4*n**2 - 3269*n**3 + 2 - 6*n - 2890*n**3. Let a be k(p). Round a to the nearest 100000. 800000 Let l = -134.44 - 2.56. Let g = -130.7 - l. Let k = -5 - g. Round k to the nearest integer. -11 Let w = 2947 + -2768.7. Let f = -168.18 + -2.82. Let l = f + w. Round l to 0 dps. 7 Let l = -0.833 - -0.75. Let m = l - 4.017. What is m rounded to 0 decimal places? -4 Let n be (4/3)/((-4)/(-276000)). Suppose -z = -5*z + n. What is z rounded to the nearest ten thousand? 20000 Let p = 3 - 3.04. Let g = 0.0400025 + p. What is g rounded to 6 dps? 0.000003 Let g = 0.28 - -39.72. Let s = -40.0095 + g. Round s to 3 dps. -0.01 Let m = 0.05 + -7.05. Let w = -162387152 - -162387159.0000009. Let l = m + w. What is l rounded to 7 decimal places? 0.0000009 Let s = 3657223098497753 - 3657223918129857.0000071. Let q = 819632142 + s. Let a = 38 - q. What is a rounded to six dps? 0.000007 Let w(v) = 22*v**2 - 6*v - 11. Let c be w(-9). Let z be 8/(2 + (-3652)/c). What is z rounded to the nearest one thousand? -7000 Let u = 99 + -81.25. Let p = -0.25 - u. Let b = 18.0052 + p. What is b rounded to 3 dps? 0.005 Let d(k) = -1 + 150*k**2 - 4*k - 2*k - k. Let v be d(7). What is v rounded to the nearest 1000? 7000 Let q = -32.554 - -0.454. Let u = q - -59.2. Let l = 26 - u. What is l rounded to 1 decimal place? -1.1 Let q = -652.3883 - 19.4107. Let s = q - -668.8. Let p = 3 + s. Round p to two decimal places. 0 Let g be (-33)/(-88) - (-2403)/(-8). Round g to the nearest 100. -300 Let j = -33.5 - -50. What is j rounded to the nearest 10? 20 Let k = -26 - -25.48. What is k rounded to one decimal place? -0.5 Let y = -41 + 41.000049. What is y rounded to five decimal places? 0.00005 Let o = 2 - -24. Suppose 0*l + 2*r = -l - 79, -r + 223 = -3*l. Let z = l - o. Round z to the nearest ten. -100 Let o = 5.483596 + -12.57314. Let t = o - -0.089694. Let i = t - -7. What is i rounded to four dps? 0.0002 Let s = -50 + 26. Let i = 7 + s. What is i rounded to the nearest ten? -20 Let j = 4.410373 - 4.41. Round j to 5 decimal places. 0.00037 Let d = -25.74997 - 3.25583. Let a = -36 - -7. Let y = d - a. What is y rounded to 3 dps? -0.006 Let x = 255804 - 255829.0074. Let f = x + 25. Round f to 3 dps. -0.007 Let v = 58 - 65. What is v rounded to zero dps? -7 Let w = -8 - -17. Let g be (0*(-3)/w)/2. Let s be 7800000 + 2/(-4)*g. Round s to the nearest 1000000. 8000000 Let u = -3.3 + -10.7. Let v = u - -13.99999931. Round v to seven dps. -0.0000007 Let b = 0.59 + -3.19. Round b to zero decimal places. -3 Let w be 10/(-6)*240/2. Round w to the nearest 1000. 0 Let i = -147.90111 + 133.901101. Let y = i + 14. Round y to five decimal places. -0.00001 Let z = -20.499234 + 20.5. What is z rounded to 4 dps? 0.0008 Suppose 0*z - 259788 = -2*z. Suppose -44580 = 3*y - 584898. Let d = y + z. Round d to the nearest one hundred thousand. 300000 Let g = -0.06431 + 0.064. Round g to four decimal places. -0.0003 Let f = -31 - -31.03. Round f to 1 decimal place. 0 Suppose -4*c + 6*c = -214000. Round c to the nearest ten thousand. -110000 Let x = 0.125247 - 0.125. Round x to five decimal places. 0.00025
{ "pile_set_name": "DM Mathematics" }
What is z rounded to the nearest 10000? 120000 Let z = 636437.0021 + -636407. Let y = 30 - z. What is y rounded to 3 dps? -0.002 Let r = 5962 - 1762. Let m be r/((-8)/((-284000)/3)). What is m rounded to the nearest one million? 50000000 Let v = 9455785334 + -9456093734.999872. Let n = -308388 - v. Let p = n + -13. What is p rounded to 5 decimal places? -0.00013 Let f = -27.935 + -0.065. Let h = f - -33. Let d = h - 6.3. What is d rounded to zero decimal places? -1 Let y = -188129 - -507229. Round y to the nearest 100000. 300000 Let n(q) = 3*q**2 - 29*q + 10. Let f be n(-13). What is f rounded to the nearest ten? 890 Suppose 0 = j - 3*j + 608204. Suppose -j = -3*g - 120232. Suppose 8*d - 232490 = -g. What is d rounded to the nearest 1000? 21000 Suppose 0 = -2*z - 4*s + 336788, -19*s = -21*s - 6. Round z to the nearest ten thousand. 170000 Let w = -199.06 + 166.576. Let a = w + 32. What is a rounded to 1 dp? -0.5 Let l(i) = i**3 + i**2 + i + 18900000. Suppose 3*y = y. Let d be l(y). Suppose 6*n = 3*n + d. Round n to the nearest one million. 6000000 Let l = 12.098 + -12.2. Let w = 2.02 - 2. Let u = w - l. Round u to 2 decimal places. 0.12 Let u = -2.156 + -0.339. Let h = -2.6 - u. What is h rounded to 2 dps? -0.11 Let b = 40.9 + 123.1. Let f = 163.999999 - b. Round f to 4 decimal places. 0 Let o = 12 + -46. Let d = o + 46.2. Round d to the nearest integer. 12 Let j = 1.45081 - 0.05421. Let m = j - 1.41. What is m rounded to three dps? -0.013 Let r = 6527060 + -6527067.489306. Let j = -7.49 - r. What is j rounded to 5 dps? -0.00069 Let c = -0.12 - -0.127. Let m = 0.059 + c. Let o = m + -3.766. Round o to 0 dps. -4 Let y = -249 + 248.999999844. What is y rounded to seven decimal places? -0.0000002 Suppose -443 = -2*m + 17. What is m rounded to the nearest 10? 230 Suppose 682446 - 43496 = -13*w. Let i = 689150 + w. Round i to the nearest one hundred thousand. 600000 Suppose -4*b = 3*m - 34620012, 4*b + 4*m - 8*m - 34619984 = 0. What is b rounded to the nearest one hundred thousand? 8700000 Let c(t) = -141*t**2 + 58*t + 173. Let s be c(-3). What is s rounded to the nearest one hundred? -1300 Let g = -9550876 - -9072491.9. Let i = 478385.2999962 + g. Let h = i - 1.2. What is h rounded to 6 dps? -0.000004 Let y be 2/(-5) + (-49524)/15. Let l = -89302 - y. Round l to the nearest ten thousand. -90000 Let g = 122402326.8100745832 - 9239.8100840832. Let w = g + -122393112. Let b = -25 - w. What is b rounded to 6 decimal places? 0.00001 Let i(w) = 4*w**2 + 14*w - 368. Let u be i(16). What is u rounded to the nearest one thousand? 1000 Let p = 1.24756 + -2.00717. Let b = -2 + 2.76. Let h = p + b. What is h rounded to four decimal places? 0.0004 Let d = 31.56 + -32. Let q = d + 0.44000034. What is q rounded to seven decimal places? 0.0000003 Suppose 24 = 4*b + 5*l - 3*l, -3*l + 6 = 0. Suppose x = b*x. Suppose x = -k + 51 - 361. What is k rounded to the nearest one hundred? -300 Let s = -167121669.006842 + 167129472. Let c = s - 7803. Let m = c - -0.007. What is m rounded to five dps? 0.00016 Let w = -1753 + 1753.0003734. Round w to five decimal places. 0.00037 Suppose 5*k - 25 = 320. Let t = -48 + k. Let l = 9 - t. What is l rounded to the nearest ten? -10 Suppose -4*i - 2*k + 744 = -3*k, -i + 2*k + 186 = 0. Let a = i + -395. What is a rounded to the nearest ten? -210 Suppose 47*j - 16*j = -713. Suppose 3*r - 5*v + 107 = 0, 4*r + 157 = r - 5*v. Let g = r - j. What is g rounded to the nearest 10? -20 Let f = -408348.74770165 + -13161.60226655. Let z = 421510.8 + f. Let k = z + -0.45. Round k to six decimal places. 0.000032 Let f(u) = -100*u**2 - 18*u + 16. Let l(p) = 12*p**2 - p + 1. Let c = 26 + -25. Let m be l(c). Let z be f(m). Round z to the nearest one thousand. -15000 Let h(v) = -401*v**2 + 9*v - 20. Let t be h(4). Round t to the nearest ten thousand. -10000 Let c(o) = 60*o**3 + 4*o**2 + 3*o. Let r be c(8). Round r to the nearest one hundred thousand. 0 Let q = 75.73 - 76. Let h = -0.26897 - q. Round h to four decimal places. 0.001 Let f = 583 - 582.999561. What is f rounded to 4 decimal places? 0.0004 Let l be ((-4)/5)/((-6)/6090). Let i be (1 + 4)*l/10. Round i to the nearest ten. 410 Let z = -0.0205 + 0.0752. What is z rounded to three decimal places? 0.055 Let b(n) = -1 - 2 + 1 - n. Let j be b(-6). Suppose -4*m + u + 3599998 = 3*u, 2699996 = 3*m + j*u. What is m rounded to the nearest one hundred thousand? 900000 Let t = 5874 + -5874.2947. What is t rounded to two dps? -0.29 Let u = -186 - -186.00000612. What is u rounded to 6 dps? 0.000006 Let d be 2/3*(-90)/(-4). Suppose -c + 3*k = -17, -28 + 2 = -2*c + 4*k. Suppose 0 = -3*l + d, c*l + 208 = 4*a - 111. What is a rounded to the nearest 10? 90 Let m = -240 + 210. What is m rounded to the nearest 10? -30 Suppose 0 = -13*o + 11*o. Suppose -3*i + v - 53 = o, -5*i - 10 - 101 = 4*v. What is i rounded to the nearest ten? -20 Let k = -208065.2999995 - -208066. Let o = 0.339 - -0.361. Let v = k - o. Round v to 6 decimal places. 0.000001 Let w = -375.9999992 + 376. Round w to 6 dps. 0.000001 Let c = 80666 + -81140.63. Let r = c - -471. Let z = r + 3. Round z to one decimal place. -0.6 Let t = 319 + -319. What is t rounded to seven dps? 0 Suppose -5*a + 360315 = -2*x + 3*x, 0 = 2*a - 4*x - 144126. Let z = a + 263937. Round z to the nearest one hundred thousand. 300000 Let i(l) = -90*l**2 + 158*l - 13. Let m be i(11). What is m rounded to the nearest one thousand? -9000 Let i = 10.9 - 10.90068. What is i rounded to four dps? -0.0007 Let j(z) = 11950*z**2 - 16*z - 2. Let g(s) = -1. Let x(m) = 5*g(m) - j(m). Let p be x(11). Let y = p - -2415777. Round y to the nearest one hundred thousand. 1000000 Let q be (0/4)/(3 + 0). Let f be 0 + (q - 0) + -930000. Round f to the nearest one hundred thousand. -900000 Let w = -40.492 + 39.1. Let l = w + 0.032. What is l rounded to 1 dp? -1.4 Let u = 3751 - 3638.78. Let l = u + -110. Round l to 1 dp. 2.2 Let n = 32 - -257. Let g = -197 + n. Let h = g - 92.00000069. What is h rounded to 7 dps? -0.0000007 Let b = 9 - 79. Let m = b + 69.99664. What is m rounded to three decimal places? -0.003 Let s(w) = 42937*w - 3. Let n be s(-8). Let q = 109501 - n. What is q rounded to the nearest one hundred thousand? 500000 Let q = 99988 - 30984. Let d be (114993 - (1 + 0))*(-1)/(-1). Suppose -x = -2*c - c + q, -2*x + d = 5*c. What is c rounded to the nearest one thousand? 23000 Let c = 11.15 + -0.15. Let t = 16 - c. Let p = t - 4.9999989. Round p to 7 decimal places. 0.0000011 Suppose 4*s + 3*s = 310660. Suppose -5*r - s = -2*c + 295600, 2*c - 3*r = 339988. What is c rounded to the nearest one hundred thousand? 200000 Let n = 0.93 + -3.48. What is n rounded to one decimal place? -2.6 Let y = -56 - -69. Let v = 13.00072 - y. Round v to four dps. 0.0007 Let b = 84.88102 + 1.00998. Let c = b + -86. Round c to two dps. -0.11 Let t = 633.804 - 633.81700084. Let a = 20.013 + -20. Let z = a + t. What is z rounded to seven dps? -0.0000008 Suppose x = -x - 6. Suppose 13*c = 70375 + 24512. Let f be c + x*3/(-9). What is f rounded to the nearest 1000? 7000 Suppose -3*j + 6 = -0. Suppose -4*z = j*b - 4*b - 18, b - z = -9. What is b rounded to the nearest ten? -10 Let r = 0.113 + -0.074. Let o = r - 0.03900094. What is o rounded to seven dps? -0.0000009 Suppose -y - 13481 = -4*g + 86, 4*y - 4*g = -54280. Let q = y + 27971. Suppose 0 = -3*z + 9*z - q. Round z to the nearest 100. 2400 Suppose 10*w = 14*w - 1724. What is w rounded to the nearest one hundred? 400 Let x = 7499862 - 4199862. What is x rounded to the nearest one million? 3000000 Let h = 442057.653 - 441739. Let y = -319 + h. Let g = y - 21.353. What is g rounded to zero dps? -22 Let u = 28686429711658 - 28686435731643.5000195. Let t = -6019991 - u. Let s = t - -5.5. What is s rounded to six decimal places? 0.00002 Let u = 0.8025924 + -0.803. Round u to 5 dps. -0.00041 Let g(n) = 4*n**3 + n + 1. Let l be g(-1). Let p be (1 + 0 + l)*-1. Suppose -5*x = -p*c + 1509, -5*x - 497 - 997 = 2*c. Round x to the nearest one hundred. -300 Let q = -111.7926 - -110.9. Round q to two decimal places. -0.89 Let b = 4367.6463 - 4367. Let x = b + -0.64. Round x to 3 decimal places. 0.006 Suppose -2*t + 8*t = 228. Suppose -t - 22 = -4*g. Round g to the neare
{ "pile_set_name": "DM Mathematics" }
49617, -12265087, -17661805? -24039783 What is the next term in 2516706, 5033413, 7550120, 10066827, 12583534, 15100241? 17616948 What comes next: -99190, -99145, -99098, -99049, -98998? -98945 What comes next: 2479, 5130, 7713, 10198, 12555, 14754, 16765? 18558 What is the next term in 12988, 28374, 43760, 59146, 74532, 89918? 105304 What is the next term in -29814, -27896, -24720, -20304, -14666, -7824? 204 What is the next term in 1561060, 1561030, 1560968, 1560862, 1560700, 1560470, 1560160, 1559758? 1559252 What comes next: 3611, 3606, 3579, 3524, 3435? 3306 What is the next term in 2186713, 2186782, 2186847, 2186908, 2186965, 2187018? 2187067 What comes next: -409, -3708, -12737, -30364, -59457, -102884, -163513, -244212? -347849 What is the next term in 65096, 65125, 65182, 65273, 65404? 65581 What is next in 2882, 2279, 1680, 1085, 494? -93 What is next in 50002, 49847, 49622, 49333, 48986, 48587, 48142? 47657 What is the next term in 466, 313, 106, -179, -566, -1079, -1742? -2579 What comes next: -1000, -823, -492, -7? 632 What is next in -5411957, -10824079, -16236201? -21648323 What is next in 178597, 357251, 535905? 714559 What comes next: 3441469, 6882903, 10324337, 13765771? 17207205 What is the next term in -5886, -5921, -6022, -6189? -6422 What is the next term in 814, 614, -154, -1844, -4810, -9406, -15986? -24904 What is the next term in 78, -681, -2556, -6045, -11646? -19857 What is next in 13344, 25446, 37548, 49650, 61752? 73854 What comes next: 9298763, 18597526, 27896289? 37195052 What is next in 2802, 4187, 7920, 15177, 27134? 44967 What is the next term in -33751, -33230, -32709? -32188 What is next in -3778, -8501, -16372, -27397, -41582? -58933 What comes next: -103605, -206857, -310109? -413361 What is the next term in -22317987, -44636000, -66954013? -89272026 What is the next term in 15552, 22069, 28586, 35103, 41620? 48137 What is the next term in 175, 639, 1109, 1585, 2067, 2555, 3049? 3549 What is next in 1526, 680, -162, -1000, -1834, -2664? -3490 What is the next term in 17166, 137050, 462386, 1095900, 2140318? 3698366 What is next in -1568, -1342, -1102, -854, -604, -358, -122, 98? 296 What is next in -7676, -7505, -7190, -6707, -6032, -5141, -4010, -2615? -932 What is the next term in -554524, -554502, -554474, -554440, -554400? -554354 What comes next: -18200339, -18200341, -18200343, -18200345? -18200347 What is the next term in -288911, -577811, -866701, -1155581, -1444451, -1733311? -2022161 What comes next: -18789, -18748, -18651, -18474, -18193? -17784 What is the next term in 145926, 1168641, 3944590, 9350391, 18262662, 31558021? 50113086 What comes next: 1867, 7272, 16267, 28846, 45003, 64732, 88027? 114882 What is next in 948994783, 1897989567, 2846984351, 3795979135, 4744973919, 5693968703? 6642963487 What comes next: 777086, 1553650, 2329694, 3105224, 3880246, 4654766? 5428790 What is the next term in 15559945, 31119891, 46679837, 62239783, 77799729, 93359675? 108919621 What is next in 12547243, 25094486, 37641729, 50188972, 62736215? 75283458 What is the next term in 3912, 15497, 34716, 61509, 95816, 137577? 186732 What is next in 845, 1148, 1975, 3584, 6233? 10180 What is next in 943810, 944111, 944402, 944677, 944930, 945155? 945346 What is next in -3238533, -6477077, -9715621? -12954165 What is next in 1441302, 1441222, 1441142? 1441062 What is the next term in -2220, -1613, -1000, -381, 244? 875 What is the next term in 6666, 6638, 6586, 6510? 6410 What is next in -875724, -1751426, -2627102, -3502752, -4378376, -5253974, -6129546? -7005092 What is next in 38400, 38423, 38486, 38607, 38804, 39095, 39498? 40031 What comes next: 8365062, 8365069, 8365076, 8365083? 8365090 What is the next term in -5382, -10922, -16458, -21990, -27518, -33042, -38562? -44078 What comes next: 2711, 2699, 2655, 2567, 2423? 2211 What is the next term in 7779, 7690, 7573, 7440, 7303, 7174, 7065, 6988? 6955 What comes next: -9460, -14959, -20458? -25957 What is next in 1468, 1697, 2300, 3463, 5372, 8213, 12172? 17435 What comes next: -1008894, -1008858, -1008776, -1008630, -1008402, -1008074, -1007628? -1007046 What is the next term in 369977, 369964, 369951, 369938, 369925, 369912? 369899 What comes next: -28262, -112915, -253954, -451379? -705190 What comes next: 453, 879, 1725, 3099, 5109, 7863, 11469, 16035? 21669 What comes next: 3260870, 13043483, 29347838, 52173935, 81521774, 117391355, 159782678? 208695743 What comes next: -71339, -71344, -71351, -71360, -71371? -71384 What comes next: 1629, 5978, 13243, 23430, 36545, 52594, 71583, 93518? 118405 What is next in -165196011, -165196009, -165196007? -165196005 What comes next: -224524, -898038, -2020486, -3591808, -5611944, -8080834, -10998418, -14364636? -18179428 What comes next: 30696, 30692, 30688, 30684, 30680, 30676? 30672 What is the next term in 8889, 35202, 78927, 140064? 218613 What is next in 75519, 150618, 224817, 297666, 368715, 437514, 503613, 566562? 625911 What is the next term in -9197, -36497, -81897, -145397? -226997 What is the next term in -199, -395, -515, -517, -359? 1 What comes next: 1285, 10477, 35087, 82825, 161401, 278525, 441907? 659257 What is next in -233787, -467577, -701367, -935157, -1168947, -1402737? -1636527 What is next in -12423, -11575, -10713, -9837, -8947, -8043? -7125 What is next in 7447, 13487, 18125, 21361, 23195? 23627 What comes next: -332927815, -332927814, -332927813, -332927812, -332927811? -332927810 What comes next: 7280, 37059, 86690, 156173, 245508, 354695? 483734 What comes next: 161213, 161244, 161287, 161348, 161433, 161548, 161699, 161892? 162133 What is the next term in -1579, -2107, -1583, -7, 2621, 6301, 11033? 16817 What comes next: 2540, 6835, 12866, 20633, 30136? 41375 What is next in 40686604, 40686590, 40686560, 40686508, 40686428, 40686314? 40686160 What comes next: -7168247, -14336494, -21504739, -28672982, -35841223, -43009462? -50177699 What comes next: -225834522, -225834523, -225834524, -225834525, -225834526, -225834527? -225834528 What is next in -28657, -28577, -28497, -28417, -28337, -28257? -28177 What is next in 23765, 22421, 21079, 19739, 18401, 17065? 15731 What comes next: 216579, 432782, 648601, 864030, 1079063, 1293694? 1507917 What is next in 7803, 15125, 22461, 29811? 37175 What is next in 21175, 21016, 21095, 21532, 22447, 23960, 26191? 29260 What comes next: 9689, 10437, 11667, 13373, 15549? 18189 What is the next term in -2341780, -2341766, -2341750, -2341732, -2341712, -2341690? -2341666 What is the next term in -23056, -22449, -21842, -21235, -20628? -20021 What is next in -186847, -373791, -560735? -747679 What comes next: -15717, -15733, -15781, -15879, -16045, -16297, -16653? -17131 What is the next term in -1109, -10225, -35389, -84629, -165973, -287449, -457085? -682909 What is next in 59415208, 59415206, 59415204, 59415202, 59415200, 59415198? 59415196 What is next in 27336657, 27336641, 27336625, 27336609? 27336593 What is next in -2453, -19511, -65627, -155273, -302921, -523043, -830111? -1238597 What comes next: 20062, 40116, 60170, 80224? 100278 What comes next: -4468063, -8936162, -13404261, -17872360, -22340459? -26808558 What is the next term in -557, -2460, -5783, -10526, -16689, -24272, -33275? -43698 What comes next: 2114, 4860, 9420, 15788, 23958, 33924, 45680? 59220 What comes next: 13361629, 13361626, 13361625, 13361626, 13361629? 13361634 What comes next: -4975331, -4975327, -4975325, -4975325? -4975327 What comes next: 648332, 648362, 648408, 648470, 648548, 648642, 648752? 648878 What comes next: 10881, 28449, 46017, 63585, 81153, 98721? 116289 What is next in 1770, 13712, 45992, 108780, 212246, 366560? 581892 What is next in 790993, 3163989, 7118981, 12655969, 19774953, 28475933, 38758909? 50623881 What is next in -1768305, -7073219, -15914743, -28292877, -44207621? -63658975 What comes next: 193963, 193984, 194005, 194026, 194047, 194068? 194089 What is the next term in -145916, -145900, -145884, -145868, -145852? -145836 What is next in 3873, 4031, 4221, 4443, 4697, 4983, 5301? 5651 What is the next term in -942, -691, -440, -189? 62 What comes next: 2158, 12236, 29032, 52540, 82754? 119668 What is the next term in -63537202, -254148810, -571
{ "pile_set_name": "DM Mathematics" }
? 9/220 What is prob of sequence fuy when three letters picked without replacement from ffyuuuyfuyuyyyyuuu? 7/204 Four letters picked without replacement from wlplplwlwcw. What is prob of sequence llcw? 1/165 What is prob of sequence op when two letters picked without replacement from opoooooo? 1/8 Two letters picked without replacement from uub. Give prob of sequence bu. 1/3 Calculate prob of sequence nng when three letters picked without replacement from nggannnnnnagnnn. 9/91 Two letters picked without replacement from {f: 2, n: 5, c: 2}. Give prob of sequence cc. 1/36 What is prob of sequence ztug when four letters picked without replacement from zgtguzuuububuuu? 4/4095 Three letters picked without replacement from {d: 6, l: 13}. What is prob of sequence dld? 65/969 What is prob of sequence th when two letters picked without replacement from hstyo? 1/20 Calculate prob of sequence udun when four letters picked without replacement from {n: 8, d: 9, u: 2}. 1/646 What is prob of sequence la when two letters picked without replacement from {l: 2, z: 2, f: 3, a: 3, d: 3, g: 1}? 3/91 What is prob of sequence ah when two letters picked without replacement from {h: 3, a: 2}? 3/10 Four letters picked without replacement from {u: 2, y: 2}. What is prob of sequence yuuy? 1/6 Two letters picked without replacement from trrttytryrrt. Give prob of sequence yt. 5/66 Calculate prob of sequence wcj when three letters picked without replacement from {o: 7, c: 3, w: 3, j: 6}. 3/323 What is prob of sequence dvvr when four letters picked without replacement from dkdddevpvkrr? 2/1485 Three letters picked without replacement from epeppeepppppepppppp. Give prob of sequence epp. 455/2907 Three letters picked without replacement from {r: 6, y: 2}. What is prob of sequence rry? 5/28 Calculate prob of sequence pv when two letters picked without replacement from pvpdvdddvdwddvppddvd. 1/19 Three letters picked without replacement from wwmmmwmm. What is prob of sequence mmw? 5/28 Two letters picked without replacement from sjt. What is prob of sequence sj? 1/6 Three letters picked without replacement from aamhqmmhhhuhh. What is prob of sequence mqm? 1/286 Calculate prob of sequence vnn when three letters picked without replacement from {v: 11, n: 5}. 11/168 Four letters picked without replacement from vwwgwegwvegg. What is prob of sequence evww? 2/495 What is prob of sequence ddg when three letters picked without replacement from {u: 1, x: 1, d: 1, h: 1, g: 1}? 0 Calculate prob of sequence ggx when three letters picked without replacement from {g: 7, x: 12}. 28/323 What is prob of sequence yhyh when four letters picked without replacement from {h: 9, y: 9}? 6/85 Two letters picked without replacement from {h: 3, d: 2, y: 1, g: 2, u: 4}. Give prob of sequence hy. 1/44 Two letters picked without replacement from mmmmmmm. Give prob of sequence mm. 1 What is prob of sequence tm when two letters picked without replacement from {m: 7, t: 2}? 7/36 What is prob of sequence scp when three letters picked without replacement from {b: 1, h: 5, o: 1, p: 3, c: 1, s: 1}? 1/440 What is prob of sequence jvzj when four letters picked without replacement from {c: 1, z: 2, m: 1, j: 2, k: 1, v: 1}? 1/420 Two letters picked without replacement from lmpdjtj. Give prob of sequence dl. 1/42 What is prob of sequence vgv when three letters picked without replacement from vvggvvvgvvvvgvvgvvv? 455/2907 Calculate prob of sequence awaw when four letters picked without replacement from {w: 14, a: 5}. 455/11628 Four letters picked without replacement from jejyeeeeyjee. Give prob of sequence eejy. 7/330 Three letters picked without replacement from phhn. Give prob of sequence hnp. 1/12 Calculate prob of sequence kf when two letters picked without replacement from {k: 1, f: 7}. 1/8 What is prob of sequence ui when two letters picked without replacement from {s: 2, y: 1, m: 1, i: 2, u: 1, c: 1}? 1/28 What is prob of sequence ql when two letters picked without replacement from {q: 1, a: 2, l: 3, j: 5, b: 3, d: 6}? 3/380 What is prob of sequence vzw when three letters picked without replacement from vvvvkqvvzfvvvvvvwv? 13/4896 Three letters picked without replacement from dydyyyyyy. What is prob of sequence dyy? 1/6 What is prob of sequence mh when two letters picked without replacement from {a: 5, c: 4, h: 1, e: 1, m: 1, x: 1}? 1/156 What is prob of sequence ataa when four letters picked without replacement from taaaaataa? 5/36 Calculate prob of sequence hdnb when four letters picked without replacement from hcnbdbycbhc. 1/1320 Three letters picked without replacement from sfsfffsssss. What is prob of sequence ssf? 28/165 Four letters picked without replacement from {u: 1, g: 3, s: 5, b: 3, k: 2, f: 1}. Give prob of sequence skkf. 1/3276 What is prob of sequence snsn when four letters picked without replacement from spssnssssnssss? 5/546 Two letters picked without replacement from {b: 11, o: 9}. What is prob of sequence bb? 11/38 Calculate prob of sequence oo when two letters picked without replacement from tvoo. 1/6 What is prob of sequence vtg when three letters picked without replacement from ttgntngqtvqtptq? 2/455 What is prob of sequence ozoz when four letters picked without replacement from {i: 2, o: 4, z: 2, p: 1, l: 1}? 1/210 Calculate prob of sequence qac when three letters picked without replacement from qaqcaweqqq. 1/72 Four letters picked without replacement from qqqqqqyqqqqqlqlqqlll. What is prob of sequence llyq? 7/2907 Four letters picked without replacement from kzgrgzzrgf. Give prob of sequence gzkf. 1/560 What is prob of sequence cb when two letters picked without replacement from {i: 2, c: 4, b: 10, e: 3}? 20/171 Two letters picked without replacement from ylyyylylyyy. What is prob of sequence ly? 12/55 What is prob of sequence ggcg when four letters picked without replacement from ccgcccmccccgcccccgcc? 4/4845 What is prob of sequence ee when two letters picked without replacement from {w: 7, e: 5}? 5/33 Calculate prob of sequence ovf when three letters picked without replacement from {b: 2, l: 1, r: 1, v: 1, o: 1, f: 1}. 1/210 Calculate prob of sequence ey when two letters picked without replacement from {e: 1, y: 3, w: 5, j: 1, k: 2}. 1/44 Three letters picked without replacement from {g: 5, r: 4, h: 1, f: 4, t: 6}. Give prob of sequence fgt. 1/57 Calculate prob of sequence ffnf when four letters picked without replacement from fffffffffnfff. 1/13 Four letters picked without replacement from {a: 2, t: 12, d: 3}. Give prob of sequence aatd. 3/2380 Calculate prob of sequence rffr when four letters picked without replacement from rffrrrr. 1/21 Calculate prob of sequence wzx when three letters picked without replacement from {n: 1, w: 1, z: 2, x: 5}. 5/252 What is prob of sequence xnn when three letters picked without replacement from xnxnsxx? 4/105 Two letters picked without replacement from eetetteeeteedeettet. What is prob of sequence ee? 55/171 Calculate prob of sequence rrn when three letters picked without replacement from {e: 3, n: 1, m: 9, r: 2, k: 2}. 1/2040 Calculate prob of sequence re when two letters picked without replacement from rrre. 1/4 Calculate prob of sequence khh when three letters picked without replacement from {g: 2, h: 4, e: 1, k: 1}. 1/28 Four letters picked without replacement from {j: 1, r: 4, e: 4, q: 2}. What is prob of sequence jeeq? 1/330 Calculate prob of sequence gg when two letters picked without replacement from {r: 1, g: 6, c: 3, b: 4, o: 2}. 1/8 Calculate prob of sequence bl when two letters picked without replacement from {a: 2, x: 1, l: 4, b: 3}. 2/15 Calculate prob of sequence vk when two letters picked without replacement from vvvvvvvvvvkvvvvvvv. 1/18 Two letters picked without replacement from {r: 1, h: 2, j: 1}. Give prob of sequence rj. 1/12 Two letters picked without replacement from {m: 1, g: 2}. What is prob of sequence gg? 1/3 Four letters picked without replacement from nqyfpop. What is prob of sequence fpon? 1/420 Two letters picked without replacement from {t: 6, v: 2, d: 8, l: 3}. Give prob of sequence ld. 4/57 Calculate prob of sequence rzp when three letters picked without replacement from cczprcyzcrycrrccjzzc. 2/855 Calculate prob
{ "pile_set_name": "DM Mathematics" }
*3 + 2*q**3 - 2*q**3 - 114*q - 2815*q**3 + 2807*q**3 - q in the form y*q**3 + h*q + j*q**2 + d and give h. -115 Rearrange 5*b - 116 - 2466*b**3 + b**4 + 80 + 2466*b**3 to c + q*b**3 + s*b**4 + d*b**2 + f*b and give d. 0 Express (12 - 20 - 17)*(-2*y + 4*y - 11 + 0*y) as t + a*y and give t. 275 Express -11*h**2 - 4*h**2 + 2*h**2 - 2 - 14*h**2 - 12*h**2 in the form b*h + i*h**2 + g and give g. -2 Express (48 - 71 - 84)*(0*q - 2*q + 3*q)*(3 + 0 - 2) as x*q + u and give x. -107 Rearrange 0 - 3*f + 82*f**2 + 19*f**2 - 64*f**2 - 1 to the form x + a*f + m*f**2 and give x. -1 Rearrange (-10*d - d - 60*d)*(-11 - 20 + 47) to the form f + t*d and give t. -1136 Express -2 - 11 + 13 - 214*v**2 as y + p*v**2 + l*v and give p. -214 Express 0 + 0 - 10*j + 2*j**3 + 2 + 7*j - 3*j**2 in the form a*j**2 + x*j**3 + l*j + s and give x. 2 Express -4*o + 2 + o**3 + 2*o**2 + o - 3*o**3 - o**3 + o as l*o + i + f*o**2 + h*o**3 and give h. -3 Rearrange -6*o**2 + 4*o**2 + 0*o**2 + (2 - 2 - 6*o)*(-4 + 5*o + 1 - 6*o) to the form r*o**2 + t*o + c and give r. 4 Express (-1 - 3 + 3)*(3 + 1 - 5)*(3 - 2 + 0)*(-3 + 1 + 3)*(-2 + 1 + 2)*(h + 6*h - 2*h) as o + j*h and give j. 5 Rearrange -20 + 5*z + 70 - 48 - 2*z**3 to the form g + o*z + n*z**3 + p*z**2 and give g. 2 Express f**2 + 54*f**4 + 0*f**2 + 11*f**4 + 4 - 25*f**4 as x*f**2 + g*f**3 + o + m*f + a*f**4 and give g. 0 Rearrange -13*j**3 - 99 + 3*j**2 - 3*j + 15*j**3 + 92 to q + u*j**2 + g*j**3 + p*j and give u. 3 Express -71*w**3 + 2 + 75*w**3 + 0 - 2*w**2 + 2*w**4 - w**2 - w in the form i*w + v*w**3 + f + a*w**2 + c*w**4 and give a. -3 Express -211*u + 207*u + u**3 + 1 - 5 - 4*u**2 + 2 as b + a*u + h*u**2 + o*u**3 and give b. -2 Rearrange (234 - 75 - 95)*(-2*q + 0*q + 0*q + (-2*q + 1 - 1)*(1 - 5 + 2) + 2 - 2 + q + 2*q + q - 2*q) to the form p + i*q and give i. 256 Express -73 + 128 - 3796*d + 3805*d in the form g*d + z and give g. 9 Rearrange -12*v**3 - 41*v**2 - v + 30*v**2 + 13*v**3 to the form c*v**2 + f + m*v + u*v**3 and give u. 1 Rearrange -4 - 4 - 2 - 4 - 823*a + 12 to the form r + q*a and give r. -2 Express -79*x**2 + 111*x**2 + 194*x**2 as j*x**2 + p + b*x and give j. 226 Rearrange -8*x + 4*x**2 + 8*x - 3*x - 2*x**2 + 3*x + (51*x - 28*x - 39*x)*(0*x + 2*x + x) to the form y + v*x**2 + u*x and give v. -46 Express -1511*c - 8*c**2 + 1 + 1511*c in the form b*c + j + s*c**2 and give b. 0 Express -1835*c**2 + 2572*c**2 - 1909*c**2 as u + x*c**2 + j*c and give x. -1172 Express 10*a**3 - 7*a + 7*a + (-a + a - a)*(a - 136*a**2 + 65*a**2 + 8 + 69*a**2) as o*a + n + y*a**3 + v*a**2 and give o. -8 Express 6*g**2 + 0*g**2 - 17*g**2 + (-4*g**2 + 0*g**2 + 2*g**2)*(0 - 1 + 2) + (-5*g + 1 - 3 + 3*g)*(4*g - 3*g - 2*g) in the form s + l*g**2 + r*g and give r. 2 Rearrange (1 - 1 - 2)*(-7*r - 12*r**2 + 6*r**2 + 7*r**2) to s*r + c*r**2 + t and give s. 14 Express 14 + 18*r - 14 - r**2 + 2*r**2 + 0*r**2 + r**2 + (-r**2 + r - r)*(-2 - 4 + 5) as g*r + z + q*r**2 and give q. 3 Express k**2 + k - 124 + k - 71 - 56 + 52 as g*k + m*k**2 + j and give j. -199 Express -52*z**2 - 4*z + 9*z**2 + 6*z**2 in the form a + c*z + b*z**2 and give c. -4 Express -16 - 13 + 3*m**3 + 28 + 3*m**2 in the form z*m**3 + b + h*m**2 + p*m and give z. 3 Express 0*z - 3*z**2 + 0*z + (0*z + z + 3*z)*(-2 - z + 2) + 12*z**2 - 20*z**2 + 43*z**2 as d*z**2 + k*z + h and give d. 28 Express -14*m + 4*m - m + (-m - 5*m + 5*m)*(1 + 4 - 3) as w + q*m and give q. -13 Express -2*r**4 - 251*r**3 + 198*r**3 - 1 - 35*r**2 + 33*r**2 as f + c*r**3 + z*r**2 + l*r**4 + s*r and give f. -1 Express (0*c - 4*c + 2*c)*(0*c - 2*c + 0*c + (-5*c + 3*c + 0*c)*(-2 + 1 - 4) + 9*c + 6*c - 6*c + 7*c + 4 - 4) as r*c + t*c**2 + x and give t. -48 Rearrange -44*b**3 - 33*b**3 + b**4 + 2*b + 80*b**3 - 3 to x*b**4 + a*b**2 + f*b**3 + r*b + q and give r. 2 Express (-h + 0*h - 4*h)*(-8*h + 8*h - 76*h**3) + 2*h**4 + h**2 - h**2 as f*h + j*h**3 + w*h**4 + g*h**2 + m and give w. 382 Rearrange 1678*u + 79*u**2 - 299*u**2 - 838*u - 840*u to r*u**2 + b*u + z and give r. -220 Rearrange (2*i - 2*i**2 - 2*i)*(-1 - 3 - 1) - 2*i**2 - i**2 + 4*i**2 + (-i + i - i**2)*(4 + 1 - 6) to w + p*i + v*i**2 and give v. 12 Rearrange (4*k**2 - 5*k**2 - k**2)*(-3 + 1 + 1) - 274*k**2 + 731*k**2 - 195*k**2 to the form s*k + p + m*k**2 and give m. 264 Express -2*y + 11*y**3 - 18*y**3 - 14 + 9*y**3 + 15*y**4 + 13 in the form d*y + p*y**3 + h*y**2 + j + r*y**4 and give j. -1 Rearrange -122*r - 36*r**3 + 122*r + (-4 - 2*r**3 + 4)*(1 - 2 + 0) + r**3 + 2*r**3 - 6*r**3 to the form x*r**2 + i*r**3 + p*r + d and give i. -37 Rearrange -1 + 3*m**3 + 3*m - 10 - 9 + m to the form o*m**3 + s*m + j*m**2 + u and give s. 4 Rearrange (-2*q**2 + 4*q**2 + 0*q**2)*(-8 + 36 + 102) + q**2 - q**2 + q**2 to the form b*q**2 + l + r*q and give b. 261 Rearrange 38*r**3 - r**2 + 4*r**3 - 2*r**4 + 2 + 2*r**3 - 2*r**3 to the form d*r**4 + c + i*r**2 + x*r + v*r**3 and give d. -2 Express 7*w**2 + 99*w - 14*w**2 + 36 - 99*w as q*w**2 + t + a*w and give t. 36 Express 3*d**3 + 3*d**2 + 2*d + 3*d - 2*d**3 + 347 - 399 - 5*d**2 in the form w + t*d**2 + s*d + i*d**3 and give t. -2 Rearrange p**3 + 318*p**4 - 14 - 156*p**4 + p**2 + 2*p - 164*p**4 to h*p**2 + w*p**4 + o + y*p**3 + f*p and give f. 2 Rearrange -11314 - 197*t**3 + 11314 + (5*t - 5*t + t)*(-3*t**2 + 0*t**2 + t**2) to the form u*t + x*t**3 + l + p*t**2 and give x. -199 Express 16*q**3 - 3*q - q**2 - 4*q**3 - 14*q**3 - 5 as n*q**3 + b*q**2 + m + t*q and give n. -2 Express -36*y**2 - 533 + 533 + (y + 0 + 0)*(5*y - 4*y - 4*y) as s*y + p*y**2 + o and give p. -39 Rearrange -2*d**3 - 4 + 1 + 2 - 657*d**3 to a*d + x + z*d**3 + q*d**2 and give z. -659 Express (-j - 4*j - 2*j)*(0*j - 2*j + 0*j)*(9*j + 5*j - 7*j) as y*j**2 + m + p*j**3 + k*j and give p. 98 Rearrange (-2*h**2 + 8*h**2 + 12*h**2)*(17 - 17 - 13*h) + (h**2 - h**2 + 2*h**2)*(-2*h + 2*h - 2*h) to c + b*h**3 + l*h**2 + o*h and give b. -238 Rearrange 3*k**3 + 8*k - 13*k**3 + 12*k - 5*k to n + m*k + w*k**2 + i*k**3 and give m. 15 Express (-14 + 43 + 5)*(-2 + 1 + 22*g - 19*g) in the form b*g + z and give z. -34 Rearrange (-4*q + q - 16*q)*(-q**2 - 3*q**2 + 5*q**2) + (-6*q - q + q)*(-q - 2*q**2 + q**2 - q**2) to the form u*q**2 + l*q**3 + p + i*q and give u. 6 Express (4*m**2 - 2*m**2 - m**2)*(-2*m + 2*m - 5*m**2) + (2 - 2 - m**2)*(-38 + 16*m**2 + 38) as a*m**3 + h + o*m + k*m**4 + f*m**2 and give k. -21 Rearrange 19*y + 32*y - 97*y - 93*y to the form p + x*y and give x. -139 Express -122*d**3 + 2*d**4 - 3*d**4 + 125*d**3 + (3*d**3 - 7*d**3 + 2*d**3)*(d - 2*d - d) as y*d**4 + t + h*d + p*d**2 + i*d**3 and give y. 3 Rearrange (-i**3 - 1 + 1)*(57*i + 72*i - 37*i) + (-2*i**3 + 0*i**3 + 4*i**3)*(0*i - i + 0*i) to m*i**4 + v + l*i**2 + u*i**3 + g*i and give m. -94 Express (h + h - 3*h + (0*h - 2*h + 0*h)*(-2 + 4 - 1) + 0*h - 5*h + 3*h)*(337*h - 15759 + 15759) in the form d + l*h**2 + x*h and give x. 0 Express -1 - 31*p**2 + 15*p - 65*p**2 + 96*p**2 + p**3 in the form x*p + k*p**3 + m*p**2 + d and give x. 15 Rearrange -3371 + 1686 + 1685 + 884*p to z*p + k and give z. 884 Express -1801*y**3 - 1795*y**3 + 3598*y**3 - y**2 - 9 as o + b*y**3 + j*y + m*y**2 and give b. 2 Express 187*l + 1 - 8*l**3 - 372*l + 184*l + (-3 + 4 + 0)*(-1 - l**3 + 1) in the form o*l**2 + a*l + s + c*l**3 and give a. -1 Express -2 - 11*u**3 + u**4 + 41*u**3 - 6*u**2 - 32*u**3 - 2*u in the form c*u**4 + n*u**3 + l*u**2 + z*u + k and give k. -2 Rearrange -1 + 24*x**3 - 2*x**2 - 2 - 15*x - 39*x**3 + 6*x**2 + 17*x**3 to u + z*x**3 + i*x**2 + s*x and give i. 4 Rearrange -23*n**2 - 32 + 5*n**3 + 3*n**3 + 32 - 5*n**3 to h*n + b + t*n**2 + l*n**3 and give t. -23 Rearrange (-23*d - 3 + 56*d - 24*d)*(51*d**2 + 5*d**3 - 51*d**2) + (-2*d**4 - d**3 + d**3)*(-4 - 2 + 5) to c + s*d**3 + o*d + h*d**4 + t*d**2 and give s. -15 Express -772*y - 2 + 0 + 2 + 297*y in the form o*y + h and give o. -475 Rearrange 15*z**2 + 21*z - 6*z**3 + 5*z**3 - 14*z**2 to g + i*z + b*z**3 + t*z**2 and give t. 1 Express -3 + 1 + 4 - 2*g**3 + 4*g + 15*g**2 - 6*g + 2 + 3*g**4 in the form y*g + v*g**2 + h*g**3 + s + n*g**4 and give y. -2 Express 2*m + m - 6*m**2 + 44 - m + 2 in the form a*m + n + p*m**2 and give n. 46 Rearrange -1 - v + 1 + 3 + 0*v + 5*v - v - 1 + 55*v + 11*v + 43*v + (3*v - 2*v + 0*v)*(-1 + 4 - 2) to h + x*v and give h. 2
{ "pile_set_name": "DM Mathematics" }
o) = 788*o**2 - 392*o**2 - 4*o - 392*o**2. Let i(m) = -7*m**2 + 8*m. Calculate 3*i(x) + 5*y(x). -x**2 + 4*x Let h(o) = 3*o + 1. Let p(v) = -3*v**3 - 51*v + 1. Determine h(l) - p(l). 3*l**3 + 54*l Suppose -15 = -r - 2*h, r = -0*h + h + 3. Let n = -5 + 1. Let b(y) = -17*y. Let p(a) = -9*a. Give n*b(f) + r*p(f). 5*f Let b(w) = -2*w + 1. Let s(j) = -56*j + 36. What is -72*b(c) + 2*s(c)? 32*c Let w(d) = -4*d + 7. Let a(h) be the second derivative of -h**3/6 + h**2/2 + 62*h. Determine -6*a(u) + w(u). 2*u + 1 Let w(h) = -44*h**2 - 3*h. Let b(y) = -5*y**2 - y + 1. What is -2*b(g) + w(g)? -34*g**2 - g - 2 Let c(l) = -12*l + 7. Let b(u) = -26*u + 15. Determine -4*b(o) + 9*c(o). -4*o + 3 Let h(g) = 55*g**3 - 66*g + 66. Let p be ((-2)/2)/((-1)/(11*-6)). Let k(o) = -o**3 + o - 1. Calculate p*k(w) - h(w). 11*w**3 Let w(u) = -4*u**2 + 11*u + 109. Let d(m) = -m**2 + 2*m + 22. What is 11*d(v) - 2*w(v)? -3*v**2 + 24 Suppose 2*b + 19 = 5*w, -4 + 19 = 3*w - 3*b. Suppose 13 - 7 = -w*c. Let t(m) = 10*m - 7. Let q(f) = -3*f + 2. Give c*t(i) - 7*q(i). i Let t(r) = -2*r**3 + 5*r**2 + 16*r. Let n(d) = 4*d**3 - 7*d**2 - 25*d. Calculate 5*n(m) + 7*t(m). 6*m**3 - 13*m Let f(a) = a**3 - a**2 + 2. Let k(h) = -8*h**3 + 5*h**2 + 11*h - 10. What is -6*f(r) - k(r)? 2*r**3 + r**2 - 11*r - 2 Let k = -8 + 28. Let t = 9 - k. Let g(r) = 30*r + 1286. Let f be g(-43). Let m(l) = l + 3. Let n(i) = -3*i - 8. Give f*n(o) + t*m(o). o - 1 Let u(m) = -2*m**2 + 13*m + 13. Let q(z) = -7*z**2 + 6*z**2 + 4 + 3 + 6*z - 1. Let o = 157 - 170. Give o*q(g) + 6*u(g). g**2 Let i(s) = -4*s. Let t(n) be the first derivative of -n**5/24 + 7*n**3/3 + 8. Let u(l) be the third derivative of t(l). Give 7*i(g) - 6*u(g). 2*g Let o(c) = -18*c + 13. Let f(i) = i - 1. Determine -6*f(s) - o(s). 12*s - 7 Let k(r) = 38*r**3 - 108*r**2 + 8*r + 8. Let c(l) = 14*l**3 - 36*l**2 + 3*l + 3. Calculate 8*c(y) - 3*k(y). -2*y**3 + 36*y**2 Let a = 106 - 103. Suppose 7*p = a + 11. Let f(w) = 6*w**3 - 7. Let t = -7 + 0. Let o(s) = 2*s**3 - 2. What is p*f(h) + t*o(h)? -2*h**3 Let b(w) = -10*w + 1. Let a(t) = -19*t + 2. Suppose -5*o + 52 = -3*g, 23 = 4*o - 2*o + g. Give o*b(i) - 6*a(i). 4*i - 1 Let o(d) = 2*d**2 + 6. Let q(z) = 30 - 14 - 26 - 2 - 4*z**2. Calculate 11*o(g) + 6*q(g). -2*g**2 - 6 Suppose 7 = -7*u + 14*u. Let k(f) = -f**3 - 1. Let n(g) = 3*g**3 + 1. Suppose -6 = -3*y - 3. Determine u*k(p) + y*n(p). 2*p**3 Let a(m) = 8*m - 27. Let n(s) = -2. Determine a(k) - 4*n(k). 8*k - 19 Let d(k) = 3 - 5*k - 6*k - 2 + 10*k. Let a(i) = -2*i - 3. Let t(m) = 2*m + 2. Let n(j) = -4*a(j) - 5*t(j). Calculate 13*d(x) - 6*n(x). -x + 1 Let i(g) = -g + 1. Let q(w) = -w - 4*w - 4600 + 4597 - w. Determine -3*i(l) - q(l). 9*l Let o(k) be the second derivative of -k**4/3 - 3*k**2/2 - 169*k. Let t(r) = 5*r**2 + 4. Suppose 10 = m + 1. Let i = 13 - m. What is i*o(p) + 3*t(p)? -p**2 Let w(z) = -z + 1. Let h(y) = 7*y - 2. Let s = 1129 + -1128. Give s*h(b) + 5*w(b). 2*b + 3 Let h(a) = 5*a**2 - 11*a + 42. Let l(m) = m**2 - 3*m + 1. Give h(n) - 4*l(n). n**2 + n + 38 Suppose -16 = 15*v - 11*v. Let z be (-7)/v + 4/16. Suppose 0 - 4 = -z*m. Let b(d) = 15*d + 6. Let q(l) = 3*l + 1. Give m*b(p) - 11*q(p). -3*p + 1 Let j(p) = -856 - 3*p**3 + 5*p**2 + 851 - 6*p + p. Let d be 2/(-3) + 26/(-6). Let g = -2 - -1. Let w(a) = a**3 - a**2 + a + 1. Determine d*w(z) + g*j(z). -2*z**3 Let u(x) = -6*x**3 + 4*x**2 - 6*x - 7. Let j(t) = 11*t**3 - 7*t**2 + 12*t + 15. What is 4*j(o) + 7*u(o)? 2*o**3 + 6*o + 11 Let k(m) = 132*m**2 - 105*m - 87. Let y(f) = 131*f**2 - 104*f - 89. Let b(v) = -5*k(v) + 6*y(v). Let q(n) = 5*n**2 - 4*n - 4. Give 4*b(g) - 99*q(g). 9*g**2 Let i(t) = 5*t + 4. Let h(z) = 6*z + 5. Let m be (16/(-6) - -2)*(111 - 114). What is m*h(s) - 3*i(s)? -3*s - 2 Suppose 14*s - 12 = 18*s. Let f be 209/(-33) + (-1)/s. Let k(l) = -2*l - 9. Let w(m) = 2*m + 10. What is f*w(h) - 7*k(h)? 2*h + 3 Let l(s) = 2*s**2 + 5*s - 9. Suppose -4*o + 13 = 1. Let g(h) be the second derivative of -h**4/12 - h**3/2 + 5*h**2/2 + 31*h - 2. Give o*l(t) + 5*g(t). t**2 - 2 Let l(h) = 1111*h**2 + 4*h - 4. Let y(k) = -6666*k**2 - 26*k + 26. What is 13*l(d) + 2*y(d)? 1111*d**2 Let v(h) = -1. Suppose 2*p + 7*t = 8*t - 68, 2*t + 8 = 0. Let c(o) = -2*o**2 - 18. Suppose 4 = 4*a - 4. Give a*c(r) + p*v(r). -4*r**2 Let w(j) = -9*j**2 - 5*j. Let f(p) = p**2 + p. Suppose 4*s + 5 = -i, 2*s = 5*i - 0*i - 19. Suppose -4*h = i + 1. What is h*w(k) - 6*f(k)? 3*k**2 - k Let j(o) = -o**2 + 7*o + 484. Let k(m) = -m + 6. Calculate -j(p) - 6*k(p). p**2 - p - 520 Let j(g) = -g + 1. Suppose 100*i = 99*i - 11. Let b(n) = -n + 2. Determine i*j(d) + 6*b(d). 5*d + 1 Let l(j) = 11*j**3 - 3*j**2 + 1. Let t(g) = -g**3 + 2*g**2 + g. Give -2*l(x) - 2*t(x). -20*x**3 + 2*x**2 - 2*x - 2 Let j(k) = -4*k**3 - 47*k**2 + 4. Let n(r) = -3*r**3 - 47*r**2 + 3. What is -2*j(p) + 3*n(p)? -p**3 - 47*p**2 + 1 Let d(j) = -6*j**2 - j - 7. Let x(l) = -5*l**2 - l - 7. Let a(p) = -2*d(p) + 3*x(p). Let n(y) be the second derivative of y**2/2 + 2*y. Calculate a(b) + 6*n(b). -3*b**2 - b - 1 Let q = 155 + -90. Let d = q + -71. Let u(h) = -14*h - 23. Let f(s) = -5*s - 8. What is d*u(g) + 17*f(g)? -g + 2 Let g(k) = 21*k - 35*k + 16*k - 1. Let v(p) = -4*p + 1. Let w(t) be the first derivative of t**3/3 + 2*t**2 - t - 6. Let q be w(-3). Calculate q*v(b) - 7*g(b). 2*b + 3 Let f(h) = -16*h**3 + 3*h**2 + 3*h - 4. Let n(o) = 31*o**3 - 7*o**2 - 6*o + 9. Determine 9*f(r) + 4*n(r). -20*r**3 - r**2 + 3*r Let n(q) = q**2 + 1. Let t(y) = -13*y**2 - 27*y - 2. Calculate -2*n(v) - t(v). 11*v**2 + 27*v Suppose 26 - 6 = 4*t. Let z(v) = 27*v - 27*v + 7*v**2 + t. Let b(m) = -202*m - 2 - 3*m**2 + 202*m. Determine 9*b(o) + 4*z(o). o**2 + 2 Let k(b) = 17*b - 2. Let c be (-14)/2 - (-5 - 4). Let w(p) = 375*p - 45. What is c*w(v) - 45*k(v)? -15*v Let g(f) = -63*f**3 - f**2 - 10*f - 1. Let u(j) = 94*j**3 + 2*j**2 + 14*j + 1. Calculate 7*g(k) + 5*u(k). 29*k**3 + 3*k**2 - 2 Let u(t) = 2*t**2 - 8*t + 9. Let w = -71 + 74. Let q be u(w). Let l(r) = 6*r**3 - r**3 - 2*r - 3*r**3. Let a(y) = -5*y**3 + 5*y. Calculate q*a(g) + 8*l(g). g**3 - g Let v(j) = 3*j - 6 - 19*j**2 + 6*j**2 + 11*j**2. Let h(r) = -r + 1. Let q = 70 - 69. Determine q*v(m) + 4*h(m). -2*m**2 - m - 2 Let x(v) = 65*v**3 + 2*v. Let q(b) = 129*b**3 - b**2 + 5*b. Determine -2*q(g) + 5*x(g). 67*g**3 + 2*g**2 Let a(u) = -u**2 - u + 1. Let d(l) = -111*l**3 + 4*l**2 + 2*l - 2. Determine 2*a(t) + d(t). -111*t**3 + 2*t**2 Let o(i) = 52*i**2 - i. Let d(t) = -52*t**2 + t. Give -3*d(w) - 4*o(w). -52*w**2 + w Let t(w) = -2975*w**3 + 35*w**2 - 35*w + 35. Let l(z) = -175*z**3 + 2*z**2 - 2*z + 2. Calculate 35*l(x) - 2*t(x). -175*x**3 Let g(h) = -54*h**3 - 5*h**2. Let b(n) = -109*n**3 - 9*n**2. Calculate 4*b(w) - 7*g(w). -58*w**3 - w**2 Let s be (10/(-3))/((-2)/(36/3)). Let k(q) = -42*q + s + 25*q - 9*q. Let o(l) = -9*l + 7. What is -6*k(i) + 17*o(i)? 3*i - 1 Let b(u) = -2*u - 2. Let q(f) = -15*f - 15. Let w(d) = 28*b(d) - 4*q(d). Let g(r) = -16*r + 3 + 2 + 21*r. Calculate -2*g(a) + 3*w(a). 2*a + 2 Let j be ((-6)/(-9) + -2)/(2/(-3)). Let x(s) = s + 0*s + 2*s**j - 4*s**2 + 3 + 3*s**2. Let u(o) = -o**2 + o. Determine u(a) - x(a). -2*a**2 - 3 Let q(a) be the first derivative of a**3/3 + a + 75. Let w(z) be the first derivative of -z**4/4 + 2*z**3 + 6*z + 1. What is -6*q(x) + w(x)? -x**3 Let u(l) = 2*l**3 - l**2 - l + 1. Let b(o) = 638*o**3 - 203*o**2 - 203*o + 203. Give 2*b(k) - 406*u(k). 464*k**3 Let q(f) = -72*f**2 + 3*f - 17. Let t(g) = -36*g**2 + g - 8. What is -2*q(r) + 5*t(r)? -36*r**2 - r - 6 Let t(x) = -16*x**2 + 11*x - 772. Let v(y) = -3*y**2 + 2*y - 154. Determine 2*t(u) - 11*v(u). u**2 + 150 Let x(j) = -24*j - 14. Let v(t) = 48*t + 27. Determine 3*v(l) + 5*x(l). 24*l + 11 Let h(u) = u**2 - 6*u - 6. Let z be h(6). Let l(b) = -7*b + 7. Let v(i) = -i + 1. Let m be 4/((-2)/6*-3). Suppose m*j - 4 = -0. Determine j*l(a) + z*v(a). -a + 1 Suppose 8*u - 15 = 3*u. Let l(f) = 0 + 3*f - 6*f**2 + 3 + f**2. Let o(b) = 4*b**2 - 2*b - 2. Give u*l(j) + 4*o(j). j**2 + j + 1 Let t(d) = 29*d**2 - 4*d - 12. Let o(y) = -25*y**2 + 4*y + 11. Determine -6*o(n) - 5*t(n). 5*n**2 - 4*n - 6 Suppose 21*k - 5*k = 64. Let a(j) = 5*j**2 + 3*j - 4. Let o(h) = 4*h**2 + 3*h - 3. Give k*o(x) - 3*a(x). x**2 + 3*x Let r(m) = 2*m**2 - 3*m. Let j(x) = -4*x**2
{ "pile_set_name": "DM Mathematics" }
*f + 219837 wrt f? -1598*f - 5 What is the third derivative of 703*o**2*u**3 - 19415*o**2*u**2 + 11*u**3 wrt u? 4218*o**2 + 66 What is the second derivative of 248*n**4 - 45*n**3 + n**2 + 30938*n wrt n? 2976*n**2 - 270*n + 2 Differentiate 9773*l*z**3 + 70142*l + 7*z**2 - 7 wrt z. 29319*l*z**2 + 14*z Differentiate -30339*y**2 - 33633 with respect to y. -60678*y Find the second derivative of -37563*o**3 - 5*o**2 + 91814*o. -225378*o - 10 Differentiate 2*m**2*p + 3*m**2 + 39*m*p - 5*m - 7032*p wrt m. 4*m*p + 6*m + 39*p - 5 What is the second derivative of -2168201*a**2*f**2 + 2*a*f**2 + 21*a*f - 32*a - f**2 + 12 wrt a? -4336402*f**2 What is the second derivative of 968218*a**4 + 532986*a? 11618616*a**2 What is the first derivative of 2384593*p + 883307? 2384593 What is the third derivative of -1973*j**5 + 43*j**3 + 3*j**2 + 2925*j + 1 wrt j? -118380*j**2 + 258 Differentiate -370*n*q + 4136*n - 2916003*q with respect to n. -370*q + 4136 What is the third derivative of -3*l**3*w**3 - 1503*l**3 - 2*l*w**2 + 6*l*w - 10436*w**6 - 1 wrt w? -18*l**3 - 1252320*w**3 Find the third derivative of b*g**3*m + 5*b*g**3 - 171*b*g**2 + 1714*b*g*m - 4301*g**3*m - g**3 wrt g. 6*b*m + 30*b - 25806*m - 6 What is the third derivative of -m**2*z**3 + 19*m**2*z**2 + 4*m**2 + 1261*m*z**3 - 54*m + 24*z**3 + z**2 wrt z? -6*m**2 + 7566*m + 144 Find the third derivative of 169391*p**3 - 5*p**2 + 159*p + 1 wrt p. 1016346 Differentiate -4*c*m*s + c*m + 2*c*s - 3*c + 2*m - 920*s + 25 wrt s. -4*c*m + 2*c - 920 Find the third derivative of -8*r**6 + 13320*r**4 - 3*r**2 + 9643. -960*r**3 + 319680*r What is the third derivative of -4827*w**3 + 128832*w**2 wrt w? -28962 What is the second derivative of 31752*o**2*q**2 + o**2*q + 45285*o*q**2 - 7*o*q wrt o? 63504*q**2 + 2*q What is the third derivative of -16569*m**5 - 3*m**3 + 42*m**2 - 557*m wrt m? -994140*m**2 - 18 What is the first derivative of -59*n*t*y - 4*n*y - 979*t + 11*y wrt n? -59*t*y - 4*y What is the second derivative of 47318*j**4 - 24*j**3 + 5856282*j? 567816*j**2 - 144*j Find the first derivative of -8820*j**2*y - 338846*j**2 - j*y**4 wrt y. -8820*j**2 - 4*j*y**3 What is the first derivative of 11101*b**4 - 10991? 44404*b**3 Differentiate -25369*i*r - i + 287*r - 62 wrt i. -25369*r - 1 Find the second derivative of -2*u**5 - 3*u**4 - 17171*u**2 + 3249648*u. -40*u**3 - 36*u**2 - 34342 Differentiate -256*h*m*n**2 + h*m*n - 8*h*n**3 - 2*h*n - h + m*n**3 + 48*n**3 with respect to m. -256*h*n**2 + h*n + n**3 What is the third derivative of 3389078*g**5 + 25*g**2 + 3669*g - 2? 203344680*g**2 Find the second derivative of -923884*h*u**2 - 8369*h*u - h - 2*u wrt u. -1847768*h What is the second derivative of 152*r**4 + 10*r**3 - 15*r**2 - 119955*r wrt r? 1824*r**2 + 60*r - 30 What is the third derivative of 33*v**5 + 475*v**4 + 21*v**2 - 1928*v? 1980*v**2 + 11400*v Differentiate -36603*r + 61668. -36603 What is the second derivative of -2*j*n**2*o**3 - 106095*j*n**2*o**2 - j*n*o**2 - 4*j*o**3 - 908*j*o wrt n? -4*j*o**3 - 212190*j*o**2 Differentiate -27566*i**2*r - 35*i**2 + 19*i - 1 with respect to r. -27566*i**2 What is the third derivative of 4231*d*l*m**4 + 3*d*l*m**2 + 3*d*m**4 - 1081*d*m**2 - 5*d - 2*l*m**4 + l wrt m? 101544*d*l*m + 72*d*m - 48*l*m What is the third derivative of 4*l**2*u**3 - 13800*l**2*u**2 + 997*l*u**3 - l*u**2 wrt u? 24*l**2 + 5982*l What is the second derivative of -4402806*g**3*t**2 + g**3*t + 87210*g**3 - 2*g*t - 1 wrt t? -8805612*g**3 What is the third derivative of -2*c**3*d**3*j - c**3*d**2*j + 3*c**3*j - 11240*c**2*d**3 + c**2*d*j + 2*c**2 + 8*d**2*j - 6*d*j wrt d? -12*c**3*j - 67440*c**2 What is the third derivative of 2460547*q**4 + 13*q**2 - 74*q + 102 wrt q? 59053128*q Find the second derivative of 223036*g**2 + 376312*g. 446072 Find the second derivative of 480*c**3*y**2 + 437729*c**3 - 4*c*y**3 + c + 2*y wrt y. 960*c**3 - 24*c*y Differentiate 247312*x**3 - 131122 with respect to x. 741936*x**2 What is the third derivative of -2648570*b**3 - 2645903*b**2 wrt b? -15891420 What is the third derivative of 97549*t**6 - t**2 - 2*t + 742? 11705880*t**3 Differentiate g**3*m + 6425*g**3*s - 2553*g**2*m*s - 24*g**2*s + 33*g*m*s + 2*g*s wrt m. g**3 - 2553*g**2*s + 33*g*s What is the derivative of -291676*t + 1489259? -291676 What is the first derivative of 11*v**4 + 2*v**3 - 23096*v**2 - v + 5574781? 44*v**3 + 6*v**2 - 46192*v - 1 Differentiate -2*d**2*h + 19281*d**2 + 549*d*h + 190*h - 17 with respect to h. -2*d**2 + 549*d + 190 Find the third derivative of -1695*l*s**5 - 214*l*s**4 + l*s**2 - 4*l*s + s - 130002 wrt s. -101700*l*s**2 - 5136*l*s Find the second derivative of 809700*d*n**5 - 2*d*n**2 - 34501*d - 2*n wrt n. 16194000*d*n**3 - 4*d Find the third derivative of -660*i*u**5 + 7*i*u**3 - 233*i*u**2 - i*u + 3*i - u**2 + 2*u wrt u. -39600*i*u**2 + 42*i What is the second derivative of 259*o**4 - 2*o**3 - 11*o**2 + 469385*o wrt o? 3108*o**2 - 12*o - 22 What is the second derivative of -60451*v**2 + 44027*v? -120902 What is the derivative of -10*c*t**4 - 2249*c*t**3 - 2063*c + 9 wrt t? -40*c*t**3 - 6747*c*t**2 Find the second derivative of -9656*m**2*x**2*z**2 + 9*m**2*x**2*z - 3*m**2*x**2 + 5*m**2 - m*x**2*z**2 + 63*m*x**2 wrt z. -19312*m**2*x**2 - 2*m*x**2 Differentiate 139479*a**2*i**3 - 2*a**2 + i**4 - 285242 with respect to i. 418437*a**2*i**2 + 4*i**3 What is the derivative of 16*l*t + 163123*l + 1045*t**2 wrt t? 16*l + 2090*t Differentiate -119546*x - 65152 wrt x. -119546 What is the second derivative of -q**5 - 34215*q**4 + 14*q**3 + 954*q - 836? -20*q**3 - 410580*q**2 + 84*q What is the second derivative of -606741*j**2 + 488385*j - 1 wrt j? -1213482 What is the second derivative of 6*k**5 + 156*k**4*s - 9*k**3 + 5*k*s + 15399 wrt k? 120*k**3 + 1872*k**2*s - 54*k Find the third derivative of -58708*n**4 + 50869*n**2. -1408992*n Find the second derivative of -41046*s**3 + 9*s + 3962. -246276*s Find the third derivative of -81981*m**3 - 4*m**2 - 3918. -491886 Find the second derivative of -w**3 - 2541478*w**2 - 134822*w - 18. -6*w - 5082956 What is the first derivative of 1064*d**2*m**2*o + 78*d**2*m**2 + 3*d**2*m + d**2 + d + 37*m**2*o + 29 wrt o? 1064*d**2*m**2 + 37*m**2 Find the second derivative of 1229922*o**3 - 907388*o. 7379532*o Find the second derivative of -22924*m**3*q**2 + 50*m**3*q - 61*m**3 + 11*m*q**2 - 32*q wrt q. -45848*m**3 + 22*m Find the third derivative of -756126*s**4 - 23*s**2 - 6083*s - 1 wrt s. -18147024*s Find the second derivative of 60*h**4 + 857*h**2 - 307432*h. 720*h**2 + 1714 What is the first derivative of -204366*s**2 + 485619? -408732*s Differentiate 86528*p**4 - 31441. 346112*p**3 What is the first derivative of 4303*b**2*q - 464*b**2 + 9*b*q + 170 wrt q? 4303*b**2 + 9*b Find the first derivative of 5*g**3*y**3 + 3536*g**3*y + 17387*y**3 wrt g. 15*g**2*y**3 + 10608*g**2*y What is the third derivative of -79130*r**3 - r**2 - 47765*r - 4? -474780 What is the second derivative of 21*a**2*j**2 - 9*a**2 - 78*a*j**2 - 988*a*j + 4*j**2 - j wrt j? 42*a**2 - 156*a + 8 What is the first derivative of 443*m**4 + 16*m + 61281? 1772*m**3 + 16 Find the second derivative of 155424*i**2*j**2*w - 1799*i**2*j*w + 2*i**2*j + 2*i**2 + 2*i*w - 2*j**2*w wrt j. 310848*i**2*w - 4*w Find the first derivative of 80087*l - 17765 wrt l. 80087 Find the third derivative of -1651538*j**3*w**3 - 7*j**2*w**3 - 3*j*w**3 - 110*j + 500*w**3 wrt j. -9909228*w**3 Find the second derivative of -135206*h*j**2*k**2 - 10*h*j**2*k - h*j*k - h*k**2 - 5415*k**2 + 2*k - 13 wrt j. -270412*h*k**2 - 20*h*k Find the first derivative of 3*h**3 + 12813*h**2 - 37148. 9*h**2 + 25626*h Find the second derivative of 1832785*s**2*t**3 + 2*s*t**3 - 17186*s*t**2 - 8*t**3 wrt s. 3665570*t**3 What is the third derivative of -60*d**4 - 4*d**3*x + d**3 + 17*d**2*x + d*x + 155*x wrt d? -1440*d - 24*x + 6 Find the third derivative of -10738*c**3*z - 2*c**3 + 11*c**2 + c*z + 83*c - 11*z + 2 wrt c. -64428*z - 12 What is the derivative of 254769*c**3 - 114827 wrt c? 764307*c**2 Find the third derivative of -644*h*i**3 - h*i - 6*h + 4*i**4 - 341*i**2 + 2*i wrt i. -3864*h + 96*i What is the third derivative of 30500*h**5 - 454*h**2 + 8*h + 1? 1830000*h**2 What is the derivative of -41*d**3*f**3 - 1267*d**3 - 4725*
{ "pile_set_name": "DM Mathematics" }
- -10. Put -0.5, d, 2/5 in decreasing order. 2/5, d, -0.5 Suppose 10 = -5*b - 10. Sort -5, -2, b. -5, b, -2 Let i = 7 - 6. Let r = 0.09 + -5.09. Sort i, r, 4. r, i, 4 Suppose 5*x - 6 = 14. Let s be ((-1)/(-1 + 4))/(3/9). Put s, 3, x in increasing order. s, 3, x Suppose 2*p - m = 6, p + 4*m + 2 = 2*m. Let o be (-2 - (0 - 0)) + p. Put -2, o, -4 in decreasing order. o, -2, -4 Suppose 2*h = 4*x - x + 15, x + 5 = h. Let f be (-2)/4*h + 25. Suppose 0*z + f = 5*z. Sort 2, z, 1 in descending order. z, 2, 1 Suppose -b = -5, -c + 2*b = 7 + 1. Suppose -5 = -s + c*s. Let g be (-2 - -1 - -2)/1. Put g, 0, s in descending order. g, 0, s Let p = 2/231 + 452/1155. Suppose 0 = -3*m - 9, -m = 3*w - 5*m + 3. Sort p, -0.4, w in descending order. p, -0.4, w Let x = 7.2 - 0.2. Let t = x - 0. Let o = t + -6. Sort o, -0.4, -4 in decreasing order. o, -0.4, -4 Suppose 0*g = 2*g - 5*q - 11, 2*g = q + 7. Let n be ((-27)/180)/(3/(-2)). Put g, -1, n in descending order. g, n, -1 Let s = 2.7 + -1.2. Let a = s - 1.3. Sort -0.1, 3, a in decreasing order. 3, a, -0.1 Let n = 0.12 - -1.08. Let f = n - 0.2. Let d = 1 - 1.1. Sort -1/2, f, d. -1/2, d, f Let x = 33 - 48. Sort x, 5, -5. x, -5, 5 Let x = 109 + -114. Sort -6, -1/5, 3, x in decreasing order. 3, -1/5, x, -6 Let r = -0.02 + -2.98. Let z = -8.9 - -9. Sort r, z, -2 in decreasing order. z, -2, r Suppose -5*t - 4*r + r + 81 = 0, -3*t + 66 = -4*r. Let m be 2/3 - (-42)/t. Sort -1, m, 1 in increasing order. -1, 1, m Let c = 1 - 0.6. Let s = c + -0.5. Sort -1/2, s, 2 in descending order. 2, s, -1/2 Let i = -3 - -13. Put i, -3, 3/7 in decreasing order. i, 3/7, -3 Let o be 8/(-48) - (-29)/(-6). Sort -2, o, 0. o, -2, 0 Let l = -1 - -1.5. Let v = -8.8 - -5. Let p = 4 + v. Put -4, l, p in descending order. l, p, -4 Let k(n) = -n**3 + 4*n**2 + n + 1. Let o be k(4). Suppose -5*s + o = -5. Suppose 0 = -4*a + 5*m + 20, -5*m + 14 = 2*a + 4. Sort -3, s, a in increasing order. -3, s, a Let u = -3 - -5. Let h = -208 + 205. Sort -4, h, u in ascending order. -4, h, u Let n = -6 - -8. Let b = -43 + 24. Let o = -24 - b. Sort o, n, 3 in decreasing order. 3, n, o Let t = 34 + -29. Let w = 1 + -1.1. Sort -4, t, w in ascending order. -4, w, t Let k(u) = u**3 + 5*u**2 - 5*u + 6. Let w be k(-6). Let g be -5 + w - (-1 - -1). Sort 0, 5, g in decreasing order. 5, 0, g Let z(k) = -k + 5. Let f be z(8). Put -1, f, 2 in descending order. 2, -1, f Let l be 4/(-14) + 60918/333165. Let b = l + -2/835. Let c = 1/408 - 2453/2040. Sort 2, b, c. c, b, 2 Suppose -2*i - 5 = -17. Suppose f = 3 - i. Let y = -13 + 8. Sort y, f, 4 in descending order. 4, f, y Let q be -4 + -1 - -1 - (0 + -2). Sort 0, q, 4, -6 in increasing order. -6, q, 0, 4 Let z be (-7 - -6) + 3/1. Suppose 2*a + a - 6 = 0. Suppose -5*n - 2 = -v - 32, -n - 5 = a*v. Put z, -4, v in ascending order. v, -4, z Let q = 683/4355 + -1/335. Put q, -0.12, 0 in decreasing order. q, 0, -0.12 Let l = 0.068 + 0.032. Sort -7, 5, l, -4/3 in descending order. 5, l, -4/3, -7 Let x = 0.3 - 0.1. Let o = -43.5 + 43. Sort x, 4, o. o, x, 4 Let g(f) = -2*f - 6. Let a be g(-4). Let q = -8.7 + -1.3. Let i = q - -5. Sort i, a, 1/8 in increasing order. i, 1/8, a Let d be (-8)/6*6/(-4). Let q = -13 - -12. Let u be d + (-4)/5 + q. Sort u, 2, 5 in ascending order. u, 2, 5 Let q(d) = -2*d**2 + d + 1. Let s be q(2). Let z = -91 - -96. Put z, 1, s in decreasing order. z, 1, s Suppose 4*u = -1 + 5. Suppose 4*n + 2 = 3*n. Put 1/2, u, n in descending order. u, 1/2, n Let y be 56/12 + (-7 - -4). Sort -1, y, 3 in decreasing order. 3, y, -1 Let s = 0.065 - -0.035. Sort s, 5, -6/5, 1 in decreasing order. 5, 1, s, -6/5 Let k = 2 - 0. Let h(o) = o - 6. Let z be h(4). Sort k, z, 4 in increasing order. z, k, 4 Let m = 2 + -2.4. Let g = -5.9 - 0.1. Let b = g + 9. Sort m, b, 5 in increasing order. m, b, 5 Let l = 12 + -16. Put -0.043, l, -2/11 in increasing order. l, -2/11, -0.043 Let r = 94 - 97. Put r, 12, -1 in increasing order. r, -1, 12 Let j = 1 - 1. Suppose -5*w + 29 = 4. Suppose -i = -w - j. Sort 2, i, -5 in ascending order. -5, 2, i Let z(r) = r**2 + 1. Let k be z(2). Let m = 2382/37 + 13467/296. Let q = m + -110. Sort q, k, 0 in decreasing order. k, 0, q Let l = 55 + -53. Put l, 1, 8, 5 in increasing order. 1, l, 5, 8 Let h(c) = -2*c - 16. Let l be h(-9). Sort 0, -1, 4, l in descending order. 4, l, 0, -1 Let o be 26/(-168) + (0 - 0). Let c = o + -2/21. Sort 5, 3, c. c, 3, 5 Let h(v) = v**2 - 4*v - 5. Let o be h(-4). Let p be (-6)/(-15) + o/(-5). Suppose -5*n + 26 = -4*a, 0 = -2*a + 4*n + n - 18. Put 5, p, a in descending order. 5, a, p Let i be 0/(1*(1 + -3)). Let y = -324 + 320. Put i, y, -3 in increasing order. y, -3, i Let f = -11 - -12. Sort f, 3, 5, -1 in descending order. 5, 3, f, -1 Let n be (6/(-4))/((-24)/(-32)). Suppose 3*r = 4*m - 0 + 5, -m = -3*r - 10. Sort n, 1, m in increasing order. m, n, 1 Let w be 9*1/((-6)/(-2)). Suppose p - 1 = 3. Suppose -2*m + 0*b + 2 = -2*b, m = 5*b + 13. Sort m, p, w in decreasing order. p, w, m Let j = 3 + -8. Let o = 378.5 - 378. Sort o, j, 1 in descending order. 1, o, j Let s = 4 + -6. Let a = -0.5 + 0.6. Sort -0.3, s, a in descending order. a, -0.3, s Let t(s) = 5*s**2 - s - 2. Let x be t(3). Let l be 2/(-3) - x/(-15). Let p = l + -5. Sort p, 5, 0.3 in decreasing order. 5, 0.3, p Let k = 0.41 - -0.09. Sort -1/6, 1, k, 2/13. -1/6, 2/13, k, 1 Let v(q) = q**2 + 15*q + 53. Let f be v(-8). Sort f, -0.76, 4 in descending order. 4, -0.76, f Let w = -16.8 - -17. Sort -2, w, 0 in decreasing order. w, 0, -2 Suppose -82 = r + 49. Let f = r + 1443/11. Sort 2/3, f, -2 in increasing order. -2, f, 2/3 Let f be (-2)/(-12)*(-4)/(-8). Sort f, -2, -0.4. -2, -0.4, f Let o(g) = g**2 - 7*g + 1. Let i be o(6). Sort -0.3, -12, i in descending order. -0.3, i, -12 Let x be -8 - -1 - -6*(-2)/(-4). Put 6, -1, x in increasing order. x, -1, 6 Let x(z) = z**2 + 13*z + 11. Let w be x(-12). Let u = -0.4 + -1.6. Let b = u + -1. Put 0, b, w in ascending order. b, w, 0 Let h(q) = q - 7. Suppose 3 = -4*j + 27. Let y be h(j). Put 3, y, -4 in increasing order. -4, y, 3 Let p = -5.2 + 5.1. Sort 1, p, 0.3 in decreasing order. 1, 0.3, p Let g = 131 - 130.95. Let w = 3 - 5. Put -2/3, g, w in ascending order. w, -2/3, g Let o = -50 + 49.6. Sort o, 0.5, -5 in descending order. 0.5, o, -5 Let s = -70 + 69. Sort 0.2, 5, s, 0 in descending order. 5, 0.2, 0, s Let k be (-3)/(-7) + (-144)/(-56). Put 4, 5, k in descending order. 5, 4, k Let x = -2 + 7. Let z = 2/27 - 68/189. Sort z, -0.5, x in decreasing order. x, z, -0.5 Let p(u) = -u**2 + 6*u - 6. Let l be p(5). Let a = -6 + 3. Sort a, -4, l. -4, a, l Suppose 4*o + 6 + 14 = 0. Let z = -55 - -51. Sort o, z, -3 in decreasing order. -3, z, o Let r = -10 + 21. Let h = 11 - r. Sort h, 5, -1 in decreasing order. 5, h, -1 Suppose 4*r - w = 25 + 106, -r + 41 = -3*w. Let l be ((-18)/r)/((-12)/(-16)). Let f = -2 + 0. Sort 0.3, l, f in increasing order. f, l, 0.3 Let n = -3 - 0. Let s = -43/5 - -253/30. Sort s, n, 5. n, s, 5 Let n = -95 - -96. Put n, 4, -100 in descending order. 4, n, -100 Suppose 0 = 3*k - t - 10, 7*t - 4*t = 3*k - 12. Let g be k + 6*(-6)/9. Suppose 6*u + 4 = 4*u. Sort g, u, -5. -5, u, g Let p(y) = y + 2. Let r be p(0). Let n be 248/(-12) - r/(-3). Let h be 4/2 - n/(-9). Put 5, h, -5 in descending order. 5, h, -5 Let s = -3 + 2. Let k = -8 + 3. Sort k, 2, s. k, s, 2 Suppose -2*p + 5*i = -9, -15*p + 9 = -10*p + i. Let b = 0 - 2. Sort p, b, 5 in descending order. 5, p, b Let n(h) = h**3 + 6*h**2 - 6*h + 4. Let l be n(-7). Put 4, l, -5 in decreasing order. 4, l, -5 Let x(g) = g**2 + 10*g - 7. Let o be x(-11). Suppose -14 = 5*k + o*r - 38, -k - 4*r + 8 = 0. Sort k, 2, 5. 2, k, 5 Suppose 3*b = 7*b + 16. Suppose -r + 3*r = 0. Let v be ((-4)/(-10))/(3/(-15)). Put v, b, r in descending order. r, v, b Suppose -i + 0*f - f = 9, -2*i - 4*f - 28 = 0. Put 2, 3, i, 0 in increasing order. i, 0, 2, 3 Let r be 1 - (2 + (2 - 6)). Sort r, -3/5, 0.1 in descending order. r, 0.1, -3/5 Let a be 5/((-10)/4) - -5. Suppose 3*l + l + 4 = 4*n, -a*n = -2*l + 1. Put n, -5, -0.1 in decreasing order. -0.1, n, -5 Let q be 4/(-10) - (-262)/430. Let i = 417/473 + q. Let s = i - 79/22. Sort 0.3, 3/2, s in descending order. 3/2, 0.3, s Let w be 111/18 + 1/(-6). Suppose -w*u = -u. Suppose t + 3 - 8 = u. Put -5, -4, t in
{ "pile_set_name": "DM Mathematics" }
= 750. Let x = u - r. Does 17 divide x? True Let x = 973 - 430. Let h = x - 442. Is 4 a factor of h? False Suppose y + 24 = 277. Does 8 divide y? False Let t(p) = 8 + 4*p + 2 - 24 - 23. Let h(x) = -2*x + 19. Let g(m) = 5*h(m) + 2*t(m). Is 2 a factor of g(7)? False Suppose -4*q + 1971 = 5*z, 4*z - 2*q + 1385 = 2993. Is 21 a factor of z? True Let r(d) = 12*d**2 - 61*d - 637. Is 13 a factor of r(-10)? False Let m = -303 - -310. Suppose 4*c + 504 = m*c. Does 13 divide c? False Let f = 27 - 0. Let r = -18 + f. Let g(n) = n**2 - 5*n - 22. Does 4 divide g(r)? False Suppose -2*s = o - 14364, -1517 = -o + 4*s + 12853. Is 43 a factor of o? False Is 28 a factor of (-15)/(180/(-222))*360? False Suppose -37*d - 19460 = -123319. Is d a multiple of 18? False Suppose -2*q = k - 7829 - 4968, 0 = -3*k - q + 38371. Is 73 a factor of k? False Suppose -121 = -23*k - 6. Suppose 0 = -4*c + k*c - 5*v - 22, v + 3 = 0. Is c a multiple of 4? False Let n be (-147)/(-42) - 6/4. Let b(f) = 8*f + 14 + 22 - 5 + f**n. Does 17 divide b(-16)? False Let j(n) = 1029*n**3 - 2*n**2 - 64*n + 133. Does 6 divide j(2)? False Suppose 22*v - 17*v = 45. Suppose 0 = -3*t + v*t - 18. Suppose -t*c = -c - 86. Is c a multiple of 9? False Let p(f) = 180*f + 8. Let r be p(4). Suppose -192 = -w + 2*n, -4*w - 3*n + r = -n. Is w a multiple of 4? True Let p = -108 + 1162. Is p a multiple of 17? True Is 10 a factor of -3*(238/(-17))/(9/1005)? True Suppose -5*n + 104*d - 106*d = -33171, 0 = -4*n - d + 26541. Is n a multiple of 10? False Let h be 6061/6 + ((-65)/30)/13. Suppose m - x - 1018 = 0, 17*m - h = 16*m - x. Is m a multiple of 13? True Let v(m) = -8*m - 30. Let f be v(5). Let z = f + 331. Does 10 divide 6206/z + ((-14)/18 - -1)? False Let x(g) = -16*g**2 - 11*g - 1. Let r(j) = -24*j**2 - 17*j - 1. Let d(p) = 5*r(p) - 8*x(p). Let u be d(-3). Suppose 4*t - 350 = u. Is 8 a factor of t? True Let x be (-874)/(-8) + 130/(-104). Is (-33 - -35) + -1 + x a multiple of 5? False Let h(r) be the second derivative of r**4/3 - 13*r**3/6 - 11*r**2 + 122*r. Is h(-7) a multiple of 6? False Suppose o = -4*n + 479, 196 = o - 3*n - 325. Is o a multiple of 129? False Let h(v) = v**3 + 7*v**2 + 4*v - 6. Let c = -45 - -39. Let l be h(c). Is (-129)/(-2) + l/12 a multiple of 5? True Let q(v) = -31*v**2 + 1909*v + 37. Is q(58) a multiple of 35? True Suppose 0 = 5*l - 4*z - 48, -3*z + 26 = 7*l - 3*l. Suppose 0 = 4*q - 12 - l. Suppose j = -q*w, -3*j - 2*j = 4*w - 84. Is 10 a factor of j? True Suppose -83*d - 1500 = -86*d + 5*z, 0 = d - 3*z - 508. Is d a multiple of 10? True Let u(l) = -l - 1. Let i(v) = -5*v - 20. Let p(d) = i(d) - 6*u(d). Let y be p(6). Let g = y + 196. Is 16 a factor of g? False Let i = -1 + -1. Is (21/i)/(12/(-48)) even? True Suppose s + 32 = -5*q, -5*s - 2*q = q + 72. Let c be ((-6)/8)/(s/64*2). Suppose c*n = -h + 5*n + 156, 0 = h - 4*n - 160. Is 12 a factor of h? True Let f(n) = -6*n - 34. Let r be f(-6). Suppose -r*g - g = h - 71, 3*h - 5*g - 185 = 0. Suppose h = -29*t + 34*t. Is t a multiple of 11? False Is (197 + -3 - -4)*(17 + -9) a multiple of 33? True Let w be ((-1792)/(-12))/(2/3). Let b = 211 - 108. Let j = w - b. Does 11 divide j? True Suppose 11*a - 48343 = -5344. Is 9 a factor of a? False Suppose -30*i = 22*i + 780. Is ((-10)/i)/((-3)/(-2196)) a multiple of 8? True Let d = 529 - 295. Suppose -d = -60*y + 51*y. Does 9 divide y? False Suppose 0 = -46*w + 541601 + 143701 + 252362. Is 52 a factor of w? True Let z(k) = -13*k**2 - 3*k - 14. Let n be z(-3). Let q be n/(-14) + -4 + 120/28. Is 18 a factor of 6/q*-3 + -2 + 30? False Let h(t) = -t**2 - 23*t - 28. Let a be h(-19). Let k be 43/6 - 8/a. Suppose k*v - 6*v = 25. Is 23 a factor of v? False Let a = 8 - -376. Suppose -h = 3*h - a. Suppose g = 77 + h. Is 27 a factor of g? False Let n(h) = 4*h**2 + 2*h - 3. Let v be n(-3). Let f(t) = -36*t - 24 + 61 + v + 40*t. Does 26 divide f(0)? False Is (-4)/46 + (-431460)/(-828) a multiple of 11? False Let g(s) = 952*s**2 + 9*s + 3. Does 13 divide g(-1)? False Suppose -4*k + 68 = -o - 2*o, 72 = 3*k + 3*o. Suppose 2*h + 3*h - k = 0. Suppose n = -f + 66, 5*n - h*f - 219 = 129. Is n a multiple of 34? True Let x = -52 + 59. Is (6 - x) + 2 + 499 a multiple of 56? False Suppose -n + 106 = -2*k, 0 = -5*n - 7*k + 12*k + 505. Does 6 divide n? True Suppose 0 = 4*n + 9*d - 4*d - 167, 3*n - 4*d = 133. Let s = n - 18. Is s a multiple of 5? True Suppose 0*w - w - 2*i = 12, 2*i = 2*w - 6. Let t = -50 - -57. Does 3 divide w*(t/(-2) - (-6 + 5))? False Let t(g) = -g**3 + g**2 + g - 1. Let a be t(1). Suppose 20 = 4*i, a = 4*o + 3*i - 17 - 14. Suppose o*v - 24 = 228. Is 21 a factor of v? True Let q(j) = -j**3 - 3*j**2 - 5*j + 19. Suppose 0 = -30*h - 191 + 11. Is 32 a factor of q(h)? False Is 51 a factor of ((-28585152)/84)/(-48) - 8/14? True Let x(l) = l**3 - 6*l**2 + 2*l - 5. Let g be -5*15/(-50)*4. Let y be x(g). Let j(s) = s + 2. Does 3 divide j(y)? True Let y = 42 + -37. Suppose -x = y*w + x - 490, 3*w + 4*x = 280. Let h = w + -49. Is 6 a factor of h? False Let g(t) = 313*t**2 + 3*t + 10. Does 85 divide g(-2)? False Let l be -4*(2 + -1) + -1. Let s = l - -5. Suppose s = 5*j - 7*j + 116. Is j a multiple of 6? False Suppose h - 21840 = -4*r, -4*r - 5460 = -5*r - 4*h. Does 99 divide r? False Let u be (-541)/(-11) - 4/22. Let x = u + -48. Is 13 a factor of x/((44/888)/11) + -3? False Let l = 93 + 2329. Is 14 a factor of l? True Let s(u) be the second derivative of -3*u**5/4 + u**4/3 + 2*u**3 + 7*u**2/2 + 18*u + 2. Does 32 divide s(-2)? False Suppose 3*n + 4*b = 28060, -46790 = 35*n - 40*n - 2*b. Does 65 divide n? True Suppose 38*r - 5*o - 666 = 34*r, r - 162 = 2*o. Does 2 divide r? True Let b(h) = -3*h**2 + 3 + 133*h**3 + 2*h**2 + 0*h**2 + 2*h - 4. Is b(1) a multiple of 11? False Let i(d) = -d**2 - 29*d - 77. Let v be i(-26). Is 27 a factor of 106/v*(-9)/(-3)? False Suppose -5*n - n = 270. Let u = 53 + n. Suppose -645 = 3*k - u*k. Does 33 divide k? False Let q(u) = 11*u - 131. Let l be q(21). Suppose -l + 270 = 10*t. Is 3 a factor of t? False Suppose -t - t - 2*p = -416, -4*t + 5*p = -832. Is 4 a factor of ((-52)/t)/((-1)/16*1)? True Let l = -6849 + 12132. Is 5 a factor of l? False Suppose -39*z + 399472 + 679541 = 0. Does 8 divide z? False Let k be 6 - (-3 - (1 + 52)). Suppose 0 = -3*i + k + 478. Is 12 a factor of i? True Let j be (-2)/(-6 + 4 - -1). Suppose -4*b = -4*i + 8, j*i = -b - 0*b + 4. Does 15 divide (100/(-6))/i*-9? True Suppose 59*t = 56*t - 96. Let j = t - -53. Does 21 divide j? True Let v(y) = 28*y - 14. Let g be v(6). Suppose 0 = 3*b + g + 98. Does 9 divide ((-6)/(-7))/((-2)/b)? True Let a = 5462 + 16441. Does 31 divide a? False Let a = 38 - 105. Let f = -64 - a. Suppose f*r + 9 = 0, 4*r = t + 2*t - 108. Does 12 divide t? False Let b be 17 - -2 - ((-3)/3 - 1). Suppose -4*q + 89 = 3*o, 5*q = 6*q + o - b. Does 9 divide q? False Let f(b) = b**3 - 20*b**2 - 4*b + 15. Let k be f(20). Does 42 divide (16/10)/(-4) - 26546/k? False Let h be (-4 - -1)/((-6)/(-4)) + 7. Suppose 2*c = -1 + h. Does 2 divide (135/(-20))/(c - 38/16)? True Let g = 30 - 58. Let w = 31 + g. Suppose 0 = t + t, -3*x + 132 = w*t. Does 7 divide x? False Suppose -2*l - 2*r = 0, 0 = -4*r + 2*r - 8. Suppose 0 = -2*q - 4*t + 1500, 4*q - l*t - 1530 - 1506 = 0. Is 28 a factor of q? True Suppose -1788 = -7*n + 14585. Let h = n + -896. Does 39 divide h? True Suppose 0 = 3*h + 4*p - 34360, -11 = -2*p - 21. Is 191 a factor of h? True Let f = 4447 + -1896. Does 27 divide f? False Suppose -3*z + 1161 = -5*x - 474, x + 304 = -4*z. Does 7 divide (-4)/(-8 - x/42)? True Let a(s) = 93*s**3 - 2*s + 1. Let u be a(1). Suppose -4*y = -100 - u. Let i = y - 8. Does 10 divide i? True Suppose -19*v = 2*c - 18*v + 202, -2*c + 2*v - 196 = 0. Let w = -45 + 20. Let x = w - c. Is 17 a factor of x? False Suppose 10*g - 9 = 7*g. Suppose 6 = -0*y + g*y. Suppose -y*s + 3 = -1, 5*h - 5*s = 230. Does 8 divide h? True Does 4 divide (14/(-6))/(37/(-111))? False Suppose -5*h + 126 = 4*h. Let i(l) = -4*l**2 + 68*l - 49. Let k(v) = v**2 - 17*v + 12. Let u(y) = -2*i(y) - 9*k(y). Is 8 a factor of u(h)? True Let r = 493 - 435. Let g = r - -573. Is g a multiple of 7? False Is 107 a factor of (-7048017)/(-1631) - (-4)/(-14)? False Is (-9 + 5)*(3 + (-3244)/8) a multiple of 14? True Let y =
{ "pile_set_name": "DM Mathematics" }
one million? -53000000 What is -2.957758373 rounded to three decimal places? -2.958 What is 17765.65989 rounded to 0 dps? 17766 Round -0.00679564236 to six dps. -0.006796 Round 0.00551348 to four decimal places. 0.0055 What is 811659.6 rounded to the nearest one thousand? 812000 Round -7931477.2 to the nearest ten thousand. -7930000 Round -84.335913 to 1 decimal place. -84.3 What is -10370673550 rounded to the nearest one million? -10371000000 What is 0.05582708 rounded to four dps? 0.0558 What is 0.013769135 rounded to 5 decimal places? 0.01377 Round 531676.22 to the nearest 100000. 500000 Round 0.000000797984278 to 6 decimal places. 0.000001 Round 0.0039354741 to 5 decimal places. 0.00394 What is -17702278.948 rounded to the nearest 10000? -17700000 What is -86711913.2 rounded to the nearest 100000? -86700000 Round -0.000080007739 to seven decimal places. -0.00008 What is 0.0534282398 rounded to four decimal places? 0.0534 Round 0.016212348419 to 4 dps. 0.0162 What is -3686188758 rounded to the nearest one hundred thousand? -3686200000 Round 7.4923586 to zero decimal places. 7 Round -0.000001537538281 to six decimal places. -0.000002 What is 8.91525723 rounded to three decimal places? 8.915 Round 0.001034580819 to 5 decimal places. 0.00103 Round -452754.639 to the nearest 10. -452750 What is -64340.827 rounded to the nearest 10000? -60000 Round -7711795.922 to the nearest ten thousand. -7710000 What is 6165687.33 rounded to the nearest 10000? 6170000 What is 55773812 rounded to the nearest 1000000? 56000000 Round 68056523 to the nearest 1000000. 68000000 Round -6431.03242 to the nearest one thousand. -6000 Round -2571.706 to the nearest 10000. 0 Round -0.005529488 to five decimal places. -0.00553 Round -0.00265240678 to 7 decimal places. -0.0026524 Round 32789101 to the nearest one thousand. 32789000 What is -178.6224783 rounded to one dp? -178.6 What is 10406208.282 rounded to the nearest 100? 10406200 What is 7.11325418 rounded to 1 dp? 7.1 Round 29244897.4 to the nearest one hundred thousand. 29200000 What is 0.000648435393 rounded to 7 decimal places? 0.0006484 Round 0.00074341085 to five decimal places. 0.00074 Round 64565761.56 to the nearest one million. 65000000 Round 0.0338099485 to five dps. 0.03381 What is -4.09215915 rounded to one decimal place? -4.1 Round -110.171997 to 2 dps. -110.17 What is 224534.9505 rounded to the nearest 10? 224530 Round 7.1783025 to the nearest integer. 7 Round 19830382.6 to the nearest ten thousand. 19830000 Round -3566.406247 to the nearest 1000. -4000 Round -0.00000406014562 to 6 dps. -0.000004 Round -0.0000148874687 to seven decimal places. -0.0000149 What is 0.0001033389 rounded to seven decimal places? 0.0001033 Round 4.7771433 to 1 decimal place. 4.8 Round 11.15564908 to two decimal places. 11.16 Round 0.7946923292 to three decimal places. 0.795 Round 3.17672438 to zero dps. 3 What is 4.39867191 rounded to four dps? 4.3987 Round -52.0343575 to the nearest ten. -50 Round 0.011947303471 to 6 dps. 0.011947 Round -70660.64208 to the nearest integer. -70661 Round 2328262.844 to the nearest one thousand. 2328000 Round -0.00048279876 to 6 dps. -0.000483 Round -0.0699985651 to two dps. -0.07 Round 40720171 to the nearest 10000. 40720000 Round 0.09121940956 to three dps. 0.091 What is -0.02862922913 rounded to two decimal places? -0.03 What is -81.56508526 rounded to 2 decimal places? -81.57 Round 0.0000542612565 to 6 decimal places. 0.000054 Round 474543.0922 to the nearest one thousand. 475000 What is 3873.308258 rounded to the nearest 10? 3870 Round -77272.1973 to the nearest 100. -77300 What is -230983927 rounded to the nearest one thousand? -230984000 Round -65.315022 to the nearest integer. -65 Round 1.0549767863 to 4 decimal places. 1.055 What is 0.00629957368 rounded to 5 dps? 0.0063 What is 99.0083622 rounded to 1 dp? 99 What is 0.0165157885 rounded to 6 dps? 0.016516 Round 223091.018 to the nearest one hundred thousand. 200000 What is 24985643.5 rounded to the nearest 10000? 24990000 Round 18037.8776 to the nearest integer. 18038 What is 0.00223166486 rounded to six decimal places? 0.002232 What is -3536405.14 rounded to the nearest one thousand? -3536000 Round 276635546 to the nearest one hundred thousand. 276600000 What is 13017.211 rounded to the nearest ten thousand? 10000 What is 54.493559 rounded to the nearest integer? 54 Round 0.0107446912 to six decimal places. 0.010745 What is 0.2470187998 rounded to 3 decimal places? 0.247 What is 0.001187671907 rounded to four decimal places? 0.0012 Round -11.4386835 to 1 dp. -11.4 Round -5826797.072 to the nearest 100000. -5800000 Round 0.00000461457084 to 7 decimal places. 0.0000046 What is -0.00002299208709 rounded to six dps? -0.000023 Round 74309.2877 to the nearest one thousand. 74000 Round 0.00237334846 to six decimal places. 0.002373 What is 408554279 rounded to the nearest one hundred thousand? 408600000 What is -0.000614301543 rounded to 4 dps? -0.0006 What is -157358.8569 rounded to the nearest ten? -157360 What is 33.43724336 rounded to 3 dps? 33.437 Round -166424521 to the nearest one million. -166000000 What is -0.00003588882519 rounded to five decimal places? -0.00004 Round 139933901 to the nearest ten thousand. 139930000 What is 0.002913902853 rounded to seven dps? 0.0029139 What is -907875181 rounded to the nearest 10000? -907880000 What is 85378784400 rounded to the nearest 1000000? 85379000000 What is 19892.9307 rounded to the nearest one thousand? 20000 Round -6904.839518 to the nearest one thousand. -7000 What is -0.6313957326 rounded to four decimal places? -0.6314 What is -0.00804244806 rounded to five decimal places? -0.00804 What is -589.887993 rounded to the nearest 100? -600 What is -116929828.19 rounded to the nearest 1000000? -117000000 Round 160.0988137 to one decimal place. 160.1 What is -149112.8 rounded to the nearest one hundred? -149100 Round -0.19999762 to four dps. -0.2 What is -2491.1764 rounded to the nearest integer? -2491 Round 2687.76627 to 0 decimal places. 2688 What is -0.00058650002 rounded to seven decimal places? -0.0005865 What is 0.00084295705 rounded to 6 decimal places? 0.000843 What is -0.000000447486278 rounded to seven dps? -0.0000004 What is 0.001516051035 rounded to 6 decimal places? 0.001516 Round 1319859.682 to the nearest 10000. 1320000 Round -0.000003917362135 to six dps. -0.000004 What is 2387.4838 rounded to the nearest one hundred? 2400 What is 3190380223 rounded to the nearest 1000000? 3190000000 Round 0.0014547564 to 6 dps. 0.001455 Round -0.02824085683 to 4 decimal places. -0.0282 Round -872876571 to the nearest one million. -873000000 Round -56.19609632 to 3 decimal places. -56.196 What is 0.000063980872 rounded to 7 dps? 0.000064 Round -7.006846 to 2 decimal places. -7.01 What is 5.49914436 rounded to 2 decimal places? 5.5 Round -0.0000000157729843 to 7 dps. 0 What is -47122.8717 rounded to the nearest 1000? -47000 Round -1.727878983 to one dp. -1.7 Round -0.000007730319964 to 6 dps. -0.000008 What is 35848193470 rounded to the nearest one million? 35848000000 Round -159724615.1 to the nearest one hundred thousand. -159700000 Round -8313712.664 to the nearest ten thousand. -8310000 Round -0.00182082723 to four decimal places. -0.0018 What is 0.04529686603 rounded to four dps? 0.0453 Round 1.16698893 to one decimal place. 1.2 Round -12557.7237 to the nearest 100. -12600 Round 0.0000066002548 to 7 decimal places. 0.0000066 What is 0.140463942 rounded to 4 decimal places? 0.1405 What is -82405.01 rounded to the nearest 100? -82400 Round -782154169.8 to the nearest one hundred thousand. -782200000 Round 0.000062113005 to 7 dps. 0.0000621 What is 134.3933067 rounded to the nearest ten? 130 Round -366314671.7 to the nearest 10000. -366310000 Round 30912.8432 to the nearest 10. 30910 What is 0.000492072379 rounded to four decimal places? 0.0005 Round -0.03715547202 to 4 dps. -0.0372 Round -0.001236519469 to three dps. -0.001 Round -379953824.3 to the nearest 100000. -380000000 Round 20.3155682 to one dp. 20.3 Round -0.01422784272 to 3 dps. -0.014 What is -873.9034 rounded to zero decimal places? -874 What is -31948961.8 rounded to the nearest one million? -32000000 Round -0.75534331 to
{ "pile_set_name": "DM Mathematics" }
and 1 l when two letters picked without replacement from lllllulllul. 18/55 Two letters picked without replacement from {q: 1, f: 2, p: 1}. Give prob of picking 2 f. 1/6 What is prob of picking 2 q when two letters picked without replacement from kookkkqqqcq? 6/55 Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 1, j: 1, t: 2, m: 1, a: 1, g: 1}. 1/21 Two letters picked without replacement from ssnsstnsn. Give prob of picking 2 s. 5/18 Four letters picked without replacement from {q: 1, j: 2, x: 2, p: 7}. Give prob of picking 1 j and 3 p. 14/99 Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {s: 1, q: 9, u: 5, f: 5}. 5/38 Two letters picked without replacement from cvcnnvvccvvnxnncc. Give prob of picking 2 c. 15/136 Two letters picked without replacement from ptftfpctpfccf. What is prob of picking 1 p and 1 t? 3/26 Three letters picked without replacement from wwyywwyywgyyy. Give prob of picking 3 w. 5/143 Calculate prob of picking 1 b and 3 s when four letters picked without replacement from ssbsssss. 1/2 What is prob of picking 1 l, 1 t, and 1 d when three letters picked without replacement from {l: 1, d: 2, t: 1, o: 2, z: 1, p: 1}? 1/28 Three letters picked without replacement from {b: 1, f: 1, q: 5, o: 2, m: 1, p: 3}. What is prob of picking 2 m and 1 b? 0 What is prob of picking 1 r and 2 z when three letters picked without replacement from xrzrrtrrthrzrtrrrw? 5/408 Calculate prob of picking 2 a when two letters picked without replacement from {v: 7, a: 5}. 5/33 What is prob of picking 4 m when four letters picked without replacement from {z: 3, m: 3, i: 1}? 0 Four letters picked without replacement from owowwyoww. What is prob of picking 1 y and 3 w? 5/63 Three letters picked without replacement from {l: 2, k: 4}. Give prob of picking 2 l and 1 k. 1/5 What is prob of picking 1 o and 3 c when four letters picked without replacement from ccbcbcorjbr? 2/165 Three letters picked without replacement from {f: 1, z: 1, k: 4, a: 4, i: 3}. Give prob of picking 3 k. 2/143 Three letters picked without replacement from {r: 1, x: 1, k: 5, c: 1, a: 4, b: 1}. What is prob of picking 1 b, 1 c, and 1 x? 1/286 Three letters picked without replacement from {f: 6}. Give prob of picking 3 f. 1 Three letters picked without replacement from {e: 3, k: 3, v: 13}. What is prob of picking 3 e? 1/969 What is prob of picking 1 y, 2 m, and 1 k when four letters picked without replacement from {y: 4, m: 9, k: 4}? 144/595 Two letters picked without replacement from {s: 4, d: 2, q: 1, b: 1}. Give prob of picking 1 b and 1 d. 1/14 Two letters picked without replacement from yclyaququauy. Give prob of picking 1 q and 1 c. 1/33 Calculate prob of picking 1 w, 1 i, 1 d, and 1 n when four letters picked without replacement from {w: 2, i: 1, n: 1, j: 2, z: 2, d: 1}. 1/63 Calculate prob of picking 1 z and 1 n when two letters picked without replacement from nbsnnbnzsr. 4/45 Calculate prob of picking 1 h and 2 x when three letters picked without replacement from xxxh. 3/4 Two letters picked without replacement from {g: 5, z: 7}. Give prob of picking 2 z. 7/22 Calculate prob of picking 1 j, 1 m, and 1 z when three letters picked without replacement from {m: 1, b: 1, z: 1, d: 5, j: 2}. 1/60 What is prob of picking 1 n, 2 o, and 1 v when four letters picked without replacement from eonnoeovnoeo? 2/33 Calculate prob of picking 2 l when two letters picked without replacement from wwtltxxltt. 1/45 What is prob of picking 3 q when three letters picked without replacement from {r: 1, q: 11}? 3/4 Calculate prob of picking 2 n and 1 o when three letters picked without replacement from noooonoooooooooooono. 17/380 What is prob of picking 3 h when three letters picked without replacement from tthhthh? 4/35 Calculate prob of picking 1 o and 1 p when two letters picked without replacement from pzopooomr. 2/9 What is prob of picking 2 r and 1 x when three letters picked without replacement from rrrtroxxrrlrrrhrlo? 15/136 Three letters picked without replacement from nlnnnnnlnll. What is prob of picking 1 n and 2 l? 14/55 Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {h: 2, m: 1, j: 1, y: 1, c: 2}. 2/21 Calculate prob of picking 1 f, 1 w, and 2 e when four letters picked without replacement from ppwppepppetwnpffe. 3/595 Three letters picked without replacement from drddddriderdrrrwddia. What is prob of picking 1 w, 1 i, and 1 r? 1/95 Two letters picked without replacement from {s: 2, w: 2, b: 1, x: 2, g: 1}. What is prob of picking 2 s? 1/28 Calculate prob of picking 1 c, 1 n, and 2 e when four letters picked without replacement from {v: 1, f: 4, q: 3, c: 1, n: 1, e: 5}. 2/273 What is prob of picking 1 e and 1 c when two letters picked without replacement from {e: 2, c: 2}? 2/3 Three letters picked without replacement from {g: 1, e: 1, q: 1, a: 1, l: 1}. What is prob of picking 1 a, 1 g, and 1 q? 1/10 Three letters picked without replacement from {w: 2, c: 3, t: 10}. Give prob of picking 3 c. 1/455 Two letters picked without replacement from iiieeiqqqeiqj. Give prob of picking 2 i. 5/39 Two letters picked without replacement from {q: 13, x: 5}. What is prob of picking 2 q? 26/51 Two letters picked without replacement from tsstts. What is prob of picking 1 t and 1 s? 3/5 What is prob of picking 1 x, 1 i, and 2 z when four letters picked without replacement from {a: 1, i: 1, z: 5, x: 1, h: 1}? 5/63 What is prob of picking 1 u and 1 c when two letters picked without replacement from {j: 2, e: 3, u: 4, b: 4, c: 6, z: 1}? 12/95 Two letters picked without replacement from iikibgg. Give prob of picking 1 i and 1 k. 1/7 Two letters picked without replacement from ztttttttttzttttttttt. Give prob of picking 1 t and 1 z. 18/95 Three letters picked without replacement from aaradaagzddd. Give prob of picking 1 z, 1 g, and 1 r. 1/220 What is prob of picking 1 t, 1 v, and 1 b when three letters picked without replacement from {b: 5, j: 1, v: 1, t: 1, d: 3}? 1/33 Three letters picked without replacement from {s: 6, x: 2, h: 3, g: 8}. Give prob of picking 1 h and 2 g. 28/323 Three letters picked without replacement from hhhjhhhhhjjhhjhhhhhh. Give prob of picking 3 j. 1/285 Three letters picked without replacement from gjgggjjr. Give prob of picking 2 g and 1 r. 3/28 What is prob of picking 4 d when four letters picked without replacement from {l: 2, d: 4}? 1/15 What is prob of picking 1 v and 1 e when two letters picked without replacement from vevyvyvyv? 5/36 Two letters picked without replacement from zfdfwzbzzjwjwdzbz. What is prob of picking 2 f? 1/136 Two letters picked without replacement from htjjjyjhrrjjjjt. What is prob of picking 1 r and 1 y? 2/105 Four letters picked without replacement from lplllpllll. Give prob of picking 4 l. 1/3 Four letters picked without replacement from gdyjzgpd. What is prob of picking 1 g, 1 z, and 2 d? 1/35 What is prob of picking 2 g when two letters picked without replacement from qqqqqqggggqqqqqqqqqg? 1/19 What is prob of picking 2 r and 1 g when three letters picked without replacement from rxgr? 1/4 Two letters picked without replacement from rmximmxmtjmijjimmmji. What is prob of picking 2 x? 1/190 What is prob of picking 1 b and 1 l when two letters picked without replacement from {n: 2, o: 3, l: 1, e: 4, b: 1}? 1/55 Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {a: 17, z: 1}. 1/9 Two letters picked without replacement from nnixiiitx. Give prob of picking 1 t and 1 n. 1/18 Calculate prob of picking 3 g and 1 u when four letters picked without replacement from {g: 7, u: 3}. 1/2 Four letters picked without replacement from {j: 4, l: 3, v: 5}. What is prob of picking 4 v? 1/99 Two letters picked without replacement from {x: 2, i: 2, o: 2, v: 4, n: 1, w: 1}. What is prob of picking 1 o and 1 x? 2/33 What is prob of picking 2 q when two letters picked without replacement from {z: 8, m: 1, q: 10}? 5/19 Two letters picked without replacement from vyedt. Give prob of picking 1 t and 1 d. 1/10 Two letters picked without replacement from iipiiippiiiiiiipiiii. What is prob of picking 1 p and 1 i? 32/95 Two letters
{ "pile_set_name": "DM Mathematics" }
in 14 - 13 + 68 + 22 - 29 + 4*a**3. 4*a**3 + 62 Collect the terms in -5978*n**2 + 11903*n**2 - 6020*n**2. -95*n**2 Collect the terms in -37*z**2 + 4418*z + 19*z**2 - 2180*z - 3 - 2238*z. -18*z**2 - 3 Collect the terms in -3000 - 2996 - 1870 + 7866 - 11*i. -11*i Collect the terms in 62482*n + 50*n**3 - 62482*n. 50*n**3 Collect the terms in 816*k - 12 + 777*k - 2177*k + 706*k + 12. 122*k Collect the terms in 3356*b + 3360*b + 9 - 6705*b. 11*b + 9 Collect the terms in 3428201 - 3*j - 5*j + 3*j + 3*j. -2*j + 3428201 Collect the terms in -3874*m**2 - 403 + 196 + 3889*m**2 + 207. 15*m**2 Collect the terms in -30*w**2 - 24*w**2 + 33 - 33 + 80*w**2 - 22*w**2. 4*w**2 Collect the terms in 297277552*i - 897*i**3 - 297277552*i. -897*i**3 Collect the terms in 46*y**2 + 29*y**2 - 108*y**2 + 1 + 31*y**2 - 19*y**3. -19*y**3 - 2*y**2 + 1 Collect the terms in 7*r - 17*r - 112*r**2 - 37*r + 115*r**2 - 47*r - 2. 3*r**2 - 94*r - 2 Collect the terms in 101 + b - 20*b - 49 + 21*b - 52. 2*b Collect the terms in -377110*x - 601903*x - 210580*x - 148035*x. -1337628*x Collect the terms in -137231*u - 137226*u + 411065*u - 2 - 136606*u + 2. 2*u Collect the terms in -7 + 5938722907*h**3 + 23 - 3 - 6 - 5938722904*h**3 - 7. 3*h**3 Collect the terms in 2441*g - 680*g - 820*g - 515*g. 426*g Collect the terms in -5406 + 22*k**2 - 151 - 12*k**2 - 12*k**2. -2*k**2 - 5557 Collect the terms in -14875*w**2 - 14869*w**2 - 14877*w**2 + 4*w**3 - 15*w**3 + 59506*w**2 - 14885*w**2. -11*w**3 Collect the terms in 3*m + 41068*m**3 - 9*m - 41060*m**3 + 16*m - 10*m. 8*m**3 Collect the terms in 0 + 899150*i**3 + 3*i**2 + 1 - 899187*i**3 - 3*i**2. -37*i**3 + 1 Collect the terms in 598*j**3 - 2313*j**3 + 601*j**3 + 579*j**3 + 592*j**3. 57*j**3 Collect the terms in -21665*m**2 - 3 + 1 - 21672*m**2 + 43286*m**2. -51*m**2 - 2 Collect the terms in 128812*i**3 - 257520*i**3 + 128788*i**3. 80*i**3 Collect the terms in -1130*h**3 + 1613*h**3 + 1285*h**3 - 4 + 3001*h**3 + 1563*h**3. 6332*h**3 - 4 Collect the terms in 335842 - 159*a**2 - 335842. -159*a**2 Collect the terms in 33*r**2 + 6*r - 8 - 22 - 9*r - 1 - 37. 33*r**2 - 3*r - 68 Collect the terms in -3*x**2 + 415 + 0*x**2 + 419 + x**2 + 296 - 1130. -2*x**2 Collect the terms in -558 - 792 - 2*m - 808 + 2976 - 818. -2*m Collect the terms in 62049*g**3 - 1624110*g**2 + 1624110*g**2 - 62040*g**3. 9*g**3 Collect the terms in -65*j + 97*j + 196493 + 326*j - 196493. 358*j Collect the terms in -100*j + 27*j + 19*j - 2168 + 12*j + 2168 + 27*j. -15*j Collect the terms in -q - 154275 - 1391*q**3 + 154275 + q. -1391*q**3 Collect the terms in 12 - 17 + 219*l - 35. 219*l - 40 Collect the terms in -6377*q + 1666*q + 4711*q + 3*q**3. 3*q**3 Collect the terms in 158 - 118227*y**2 - 158. -118227*y**2 Collect the terms in -12 + 4 + 2416135*r - 2416182*r + 6. -47*r - 2 Collect the terms in 9 + 9 - 5698*c - 32. -5698*c - 14 Collect the terms in -176559*a - 176569*a + 353142*a. 14*a Collect the terms in -7*k**3 - 277*k**2 + 256*k**2 + 171*k**2 - 150*k**2. -7*k**3 Collect the terms in -40*r + 2*r**2 - 37322 + 40*r + 12439 + 12448 + 12431. 2*r**2 - 4 Collect the terms in 33517413 - 22*h - 33517413. -22*h Collect the terms in 0*m**2 + 14*m**3 + 5*m - 11*m**3 + 2*m**2 - 3*m. 3*m**3 + 2*m**2 + 2*m Collect the terms in -113*y - 25*y - 91*y + 201*y. -28*y Collect the terms in 1781*q**2 + 99504 - q - 99504. 1781*q**2 - q Collect the terms in -91340*o - 91341*o + 4 + 273959*o - 91282*o - 4. -4*o Collect the terms in -31089*r**2 + 10421*r**2 + 10435*r**2 + 10411*r**2. 178*r**2 Collect the terms in 860 - 175 - 157 - 165 - 188 - 175 - 2*x**3. -2*x**3 Collect the terms in 373 + 5392 + 5932 + n + 0*n + 0*n. n + 11697 Collect the terms in -3044 + 320*j**3 + 6025 - 2981. 320*j**3 Collect the terms in 543*v**2 - v + 351*v**2 + 550*v**2 + v - 1411*v**2. 33*v**2 Collect the terms in -2195*z + 347 + 731*z + 733*z + 735*z - 347. 4*z Collect the terms in -120614*d + 265114*d - 144493*d. 7*d Collect the terms in -8305*l**3 - 4 - 408*l**2 + 408*l**2. -8305*l**3 - 4 Collect the terms in 1220*k**3 + 138 - 1165*k**3 + 35 - k**2 + 40*k. 55*k**3 - k**2 + 40*k + 173 Collect the terms in 1107529*y**2 + 3872*y**3 - 1107529*y**2. 3872*y**3 Collect the terms in 293970*q + 6*q**3 - 293962*q + 4*q**2 - 17*q**3 - 6*q**2 + 8*q**2. -11*q**3 + 6*q**2 + 8*q Collect the terms in -28480*a**3 - 28434*a**3 + 56925*a**3. 11*a**3 Collect the terms in 1122*n**3 - 4144*n**3 - 3260*n**3 - 2606*n**3 - 4985*n**3. -13873*n**3 Collect the terms in 37786 + 2*z**2 - 52626 - 57613 + 0*z**2. 2*z**2 - 72453 Collect the terms in 2*g - 34*g**2 - 14*g**2 + 16 - 18*g**2 - 7*g**2 - 22*g**2 + 26*g**2. -69*g**2 + 2*g + 16 Collect the terms in -1 - 9*y**3 - 6*y**3 + 149872072*y + 18*y**3 + 1 - 149872072*y. 3*y**3 Collect the terms in 1064*l**2 - 159*l - 164*l - 1141*l**2 + 324*l. -77*l**2 + l Collect the terms in 27*w + 1449486*w**2 - w - 26*w. 1449486*w**2 Collect the terms in -153*a**2 - 167*a**3 + 106*a**3 + 70*a**3. 9*a**3 - 153*a**2 Collect the terms in -9*f - 1 - 42939*f**3 + 9*f - 77201*f**3. -120140*f**3 - 1 Collect the terms in 6212 - 834917*j**2 - 6212. -834917*j**2 Collect the terms in -113*f - 84189 - 84150 + 168339. -113*f Collect the terms in 27*j + 1024015840 - 1024015840 - 2*j - j. 24*j Collect the terms in -424 - 250 + 489*h + 674. 489*h Collect the terms in -1536*i**2 + 612*i**2 + 374*i**2 + 707*i**2. 157*i**2 Collect the terms in 45 - 2*p + 26 - 7 - 7 - 16. -2*p + 41 Collect the terms in 3003*k**3 + 1841*k**3 + 7016*k**3 + 1630*k**3. 13490*k**3 Collect the terms in -2033035*x - 670394*x - 1638370*x. -4341799*x Collect the terms in 1 - 1 - 376121087*w + 376121067*w. -20*w Collect the terms in 17701 - 198*w**2 - 8844 - 8851. -198*w**2 + 6 Collect the terms in 12*g + 85 - 80 - 82 - 4*g - 57. 8*g - 134 Collect the terms in -47*q - 17*q + 81*q + 73*q + 147*q. 237*q Collect the terms in -99574593*n - 7*n**2 + 99574593*n. -7*n**2 Collect the terms in -9443*p - 1439764 + 9423*p + 1439765. -20*p + 1 Collect the terms in -41516 - i**2 + 86896 - 45380. -i**2 Collect the terms in 2*z - 244 - 245 - 244 - 246 - 240 + 1223. 2*z + 4 Collect the terms in 20194*q**2 - 3*q**3 + 20199*q**2 - 100954*q**2 + 20200*q**2 + 20199*q**2 + 20162*q**2. -3*q**3 Collect the terms in -2582*y**2 - 2*y + 2*y + 5478*y**2 - 2854*y**2. 42*y**2 Collect the terms in 49489*f + 24904*f**3 - 49489*f. 24904*f**3 Collect the terms in 11106 + 17*g - 4*g - 6*g - 10*g - 5546 - 5560. -3*g Collect the terms in -37 - 225*x**2 + 15 + 0*x - 33 - 7 + 4*x. -225*x**2 + 4*x - 62 Collect the terms in -73*w**2 + 0*w - 731*w**2 - 749*w**2 + 0*w + 1517*w**2. -36*w**2 Collect the terms in -3478*o**3 + 6*o**2 - 22*o**2 + 4361*o**3 - 886*o**3. -3*o**3 - 16*o**2 Collect the terms in -2795*p**2 - 17*p + 2795*p**2 - 5710920*p**3 + 5710921*p**3. p**3 - 17*p Collect the terms in 23502*j**2 - 11158*j**2 - 11631*j**2. 713*j**2 Collect the terms in 5038*d - 83920 + 83920. 5038*d Collect the terms in 11 - 2*x**2 - 11 + 79043*x. -2*x**2 + 79043*x Collect the terms in 833*b**2 - 382*b**2 + 692*b**2 + 235*b**3 - 191*b**2 - 234*b**3 + 478*b**2. b**3 + 1430*b**2 Collect the terms in 50 + 58 - 197 - 11*n + 77. -11*n - 12 Collect the terms in -764 + 764 + 3828*h**3 - 5517*h**3. -1689*h**3 Collect the terms in -20542027*k + 20542027*k + 214*k**3. 214*k**3 Collect the terms in 3311*c**2 - 1067*c**2 - 375*c**2 - 1860*c**2. 9*c**2 Collect the terms in -6041 + 4588*o + 6041. 4588*o Collect the terms in 3378*i**2 + 3348*i**2 - 10057*i**2 + 3327*i**2. -4*i**2 Collect the terms in -89426143 + 4*g**2 + 44713076 + 14*g**2 + 44713067. 18*g**2 Collect the terms in -11*o**2 - 28035 - 23*o**2 + 16655 + 11380. -34*o**2 Collect the terms in s**3 + 553*s + 6*s**3 - 56*s**3 - 5. -49*s**3 + 553*s - 5 Collect the terms in -3*v**2 + 2226*v - 883*v + 2844*v - 2 + 4*v**2. v**2 + 4187*v - 2 Collect the terms in -697*r**3 - 25*r - 632*r**3 + 1292*r**3. -37*r**3 - 25*r Collect the terms in 6366*a**3 + 6338*a**3 + 6381*a**3 + 6340*a**3 - 25361*a**3. 64*a**3 Collect the terms in 252320*b + 250758*b - 503079*b. -b Collect the terms in -2098 + 4806 - 2708 - r**2. -r**2 Collect the terms in 3361*y**3 + 0*y**2 - 6728*y**3 - y**2 + y**2 + 3377*y**3. 10*y**3 Collect the terms in -115212*j**3 + 100740*j**3 + 697308*j**3. 6828
{ "pile_set_name": "DM Mathematics" }
t is -40a91 (base 13) in base 5? -12203202 12112221202120 (base 3) to base 6 143132323 What is 338888 (base 12) in base 13? 22ac60 What is 4321330 (base 6) in base 7? 1544442 -20021230030 (base 4) to base 16 -209b0c Convert -4332377 (base 9) to base 3. -11101002102121 Convert 12478e (base 16) to base 6. 41402050 Convert -2b092 (base 12) to base 5. -3414330 -1011101111001000110 (base 2) to base 7 -3161142 Convert -110322241 (base 5) to base 6. -14140452 650432 (base 7) to base 8 334652 -15985 (base 15) to base 12 -34382 What is 14c7a (base 14) in base 11? 35a59 Convert -1022102011100 (base 3) to base 11. -436774 What is -349c18 (base 13) in base 14? -24773b What is 4035 (base 15) in base 12? 7a12 20120011201001 (base 3) to base 16 353659 Convert 10101110000010000 (base 2) to base 14. 24688 Convert -3ba008a (base 12) to base 7. -203112241 Convert -21102200 (base 4) to base 2. -1001010010100000 What is 11110001000011 (base 2) in base 14? 589d Convert 20110020200 (base 3) to base 14. 34414 Convert -22a333 (base 13) to base 9. -1482785 What is 13024320 (base 5) in base 13? 45967 139ad (base 16) to base 7 453054 What is 121111232 (base 4) in base 7? 611411 Convert 32831 (base 10) to base 15. 9adb What is 4702167 (base 9) in base 12? a26397 Convert -2188 (base 10) to base 12. -1324 31380 (base 11) to base 12 22549 Convert 26164222 (base 7) to base 9. 4435474 -1032344224 (base 5) to base 16 -220b95 What is -303999 (base 10) in base 5? -34211444 1866127 (base 9) to base 11 656156 What is -132523533 (base 7) in base 16? -82a0df What is -2122211320 (base 4) in base 7? -5245042 -137221 (base 9) to base 12 -40754 What is -235bb80 (base 12) in base 4? -122012213100 Convert -31354412 (base 6) to base 2. -11011111111100101000 What is -13b9b48 (base 12) in base 6? -221131332 1907b3 (base 13) to base 2 10011001101110100111 What is -11102020201 (base 3) in base 16? -15394 Convert 83399 (base 11) to base 13. 43463 1213042 (base 6) to base 14 19562 What is -221314334 (base 5) in base 4? -3223102013 What is 11012200022102 (base 3) in base 6? 115542532 What is -328285 (base 9) in base 7? -1445264 Convert 12d805 (base 14) to base 15. cd251 What is 158604 (base 14) in base 13? 2049ab 2939 (base 12) to base 15 164c What is -2697916 (base 10) in base 15? -3845b1 1830240 (base 9) to base 5 230224324 150b0 (base 14) to base 15 10760 -37bb65 (base 13) to base 7 -14250313 What is -4545310 (base 6) in base 5? -24410012 What is -4c65c (base 16) in base 5? -40003144 Convert -30033223 (base 4) to base 14. -143c7 Convert -1382bd (base 14) to base 3. -1021022201121 -21c4b3 (base 16) to base 8 -10342263 -105196 (base 11) to base 8 -507774 106240130 (base 7) to base 5 3131421413 Convert 9a7bc7 (base 14) to base 10. 5246115 1877844 (base 10) to base 15 2715e9 1415440 (base 6) to base 8 234660 -316513 (base 8) to base 9 -171118 -1042165 (base 7) to base 16 -1f423 -11022 (base 12) to base 4 -11133122 What is -20130031323 (base 4) in base 10? -2212731 -1977bb (base 15) to base 7 -13354154 What is 1d901d (base 14) in base 16? 103443 40dbd2 (base 15) to base 9 5720458 What is 1157436 (base 10) in base 4? 10122210330 What is -20333020 (base 4) in base 5? -2134213 -222337 (base 10) to base 6 -4433201 108863 (base 9) to base 16 10032 What is -4041005 (base 6) in base 7? -1426565 Convert -23301010123 (base 4) to base 12. -1049077 Convert 255770 (base 8) to base 12. 43674 What is -249d07b (base 14) in base 13? -384c307 Convert -21011002210011 (base 3) to base 8. -16377420 -133244 (base 6) to base 3 -122000201 -632024 (base 8) to base 15 -42310 -1042324342 (base 5) to base 7 -25422101 What is 43400141 (base 5) in base 16? 5acd1 4003434 (base 5) to base 4 33120102 What is -111010010010100101101 (base 2) in base 7? -22143456 -2001443 (base 5) to base 11 -21735 Convert 212221132310 (base 4) to base 11. 579a946 What is 204303 (base 12) in base 15? 9e976 -20032112100 (base 4) to base 2 -1000001110010110010000 Convert -131253232 (base 6) to base 10. -2588852 Convert -34413202 (base 5) to base 8. -1136233 Convert -79166 (base 15) to base 2. -1011110000000101111 What is -21132023302 (base 4) in base 16? -25e2f2 Convert 19a340 (base 11) to base 4. 1022311221 What is -1784813 (base 10) in base 5? -424103223 b9133 (base 12) to base 13 86ca3 30211 (base 9) to base 2 100110110001111 What is -222203201020 (base 4) in base 2? -101010100011100001001000 -386eb (base 15) to base 12 -88512 -14860 (base 14) to base 12 -25658 What is -32420 (base 5) in base 6? -14203 What is 1d7ce (base 16) in base 5? 12331112 Convert -946cc (base 15) to base 14. -c3751 What is -6d5736 (base 15) in base 8? -23754354 10101000111100011111100 (base 2) to base 7 65024634 134351400 (base 6) to base 11 15a983a What is -3234504 (base 6) in base 15? -32821 -1000200020100 (base 3) to base 9 -1020210 223330204 (base 5) to base 15 14a039 Convert 3636861 (base 13) to base 6. 1400133013 32814a (base 11) to base 10 523258 -100222211100222 (base 3) to base 9 -10884328 Convert 3968649 (base 12) to base 14. 17115b3 What is 413445 (base 6) in base 7? 165566 What is -144113112 (base 5) in base 12? -311586 What is -1342532 (base 9) in base 10? -736724 833894 (base 11) to base 7 14240053 1345450351 (base 6) to base 15 16b10b1 Convert -923ad (base 14) to base 3. -122212211001 -545aa1 (base 11) to base 5 -210344140 Convert -344262 (base 11) to base 9. -1023737 What is 200202002 (base 4) in base 15? 29735 What is -89ccd (base 15) in base 12? -191764 Convert -120244201 (base 5) to base 2. -10000111110010010000 What is -79323 (base 10) in base 15? -18783 -4635aa (base 14) to base 8 -11076162 What is -106454 (base 11) in base 4? -221121230 Convert -200100021112022 (base 3) to base 16. -94c05e What is 102133641 (base 7) in base 4? 112333003311 3159a1 (base 16) to base 7 36330116 1253a (base 14) to base 13 175b8 What is -163121342 (base 7) in base 10? -11081135 -4256377 (base 10) to base 13 -b60488 -2605856 (base 9) to base 3 -2200012221220 What is 1001101100101111011 (base 2) in base 7? 2462405 What is -640a (base 12) in base 15? -33a4 31399 (base 14) to base 2 11100111110111011 Convert -111000021102020 (base 3) to base 7. -112524561 Convert 211791 (base 10) to base 3. 101202112010 Convert 20222011111102 (base 3) to base 4. 32020032002 What is 52068 (base 12) in base 13? 39a55 Convert -17442502 (base 8) to base 9. -7610022 What is -101111011100100110010001 (base 2) in base 7? -210502054 Convert 2468774 (base 12) to base 10. 7106632 -21253c (base 13) to base 16 -bd8f5 Convert 2227025 (base 8) to base 9. 1116237 What is -101010010011011100101 (base 2) in base 10? -1386213 What is -14126032 (base 7) in base 2? -101000001101111000101 What is 322230012 (base 4) in base 8? 725406 -15c6a3 (base 14) to base 2 -10111010100011110111 What is -56433614 (base 7) in base 10? -4899374 What is -23446003 (base 7) in base 5? -1013011201 Convert -2f587 (base 16) to base 11. -122778 Convert -3653545 (base 7) to base 11. -299a38 Convert b98d (base 15) to base 4. 21211303 Convert -10dd42 (base 15) to base 16. -c4d5d What is -10568 (base 15) in base 14? -14c76 Convert -897a3 (base 11) to base 16. -1fc13 Convert 7465 (base 11) to base 5. 303442 Convert -12455141 (base 8) to base 10. -2775649 What is 9bb9e (base 16) in base 15? c8ed9 -407054a (base 11) to base 12 -24a863a Convert -97553 (base 11) to base 9. -235388 Convert -1264971 (base 13) to base 3. -101211012010000 Convert 5acc7 (base 13) to base 8. 506066 What is 302832 (base 16) in base 2? 1100000010100000110010 Convert -7340d (base 14) to base 5. -32343231 152866 (base 10) to base 2 100101010100100010 What is -2166752 (base 10) in base 14? -4058c0 -137471 (base 8) to base 12 -243b5 What is -3239635 (base 10) in base 4? -30112323103 Convert -2d9e6 (base 16) to base 14. -4c14a What is bc1ea (base 16) in base 9? 1403873 -146771 (base 14) to base 11 -445000 -617583 (base 9) to base 14 -97782 Convert 12450104 (base 7) to base 3. 2010211012212 Convert -7ed8 (base 16) to base 5. -2014342 185715 (base 9) to base 12 56bab What is -110200022100 (base 3) in base 7? -2056350 What is -111101222002022 (base 3) in base 2? -11011001011011001100011 What is -351636 (base 8) in base 6? -2322114 What is -862065 (base 13) in base 8? -1400071
{ "pile_set_name": "DM Mathematics" }
60 (base 7) to base 12. b474b Convert 516446 (base 7) to base 15. 1b44e -114471 (base 9) to base 13 -254a1 Convert 13222013 (base 4) to base 12. 1619b b551ab (base 12) to base 11 167706a Convert -357676 (base 8) to base 5. -12412224 What is -274363 (base 8) in base 2? -10111100011110011 What is 4676005 (base 9) in base 12? a203b8 What is 1402204241 (base 5) in base 7? 42130426 What is -21556 (base 15) in base 12? -512b3 Convert -1042251 (base 6) to base 10. -52375 Convert 1b41ac1 (base 13) to base 11. 5107953 16050460 (base 7) to base 15 206bda What is -101101101101110111111 (base 2) in base 10? -1498047 What is -69569 (base 11) in base 6? -2053145 Convert 515851 (base 9) to base 14. 7d7d7 Convert -3c444b (base 15) to base 6. -142054212 -101220121121221 (base 3) to base 2 -10110000111110000001011 What is 123132320 (base 4) in base 13? 3c311 What is -11310100 (base 5) in base 2? -11001010101011111 Convert -1101121000 (base 3) to base 4. -12230031 11adc1b (base 14) to base 16 818a61 11010110000001010100100 (base 2) to base 11 3a5aaa0 What is -300140121 (base 5) in base 11? -734778 -3144 (base 7) to base 12 -786 -133533 (base 8) to base 2 -1011011101011011 Convert -2534302 (base 6) to base 14. -37d38 What is 321888 (base 9) in base 6? 4035342 What is 24780 (base 15) in base 6? 2255033 What is 500e1 (base 15) in base 11? 163376 -21112044 (base 5) to base 2 -101010111100011011 Convert 101111011111001111 (base 2) to base 5. 22211021 Convert 2023220 (base 5) to base 7. 165010 -a45db1 (base 14) to base 5 -2410021302 What is -437644 (base 8) in base 6? -3054124 Convert -15023010 (base 6) to base 7. -4250502 What is 9c6fc (base 16) in base 8? 2343374 What is -2736570 (base 8) in base 16? -bbd78 What is -2311031 (base 6) in base 16? -1cd9b -10010111100101110001101 (base 2) to base 4 -102330232031 What is 24e876 (base 16) in base 10? 2418806 What is 7caaa (base 14) in base 4? 1022031032 -13231112133 (base 4) to base 6 -111151223 What is -1335036 (base 7) in base 3? -22222211010 What is 110240342 (base 5) in base 12? 1b0479 -16a8bc9 (base 14) to base 16 -aa5cfd What is 2100011011 (base 3) in base 14? 12ac7 Convert -100100011111011000100101 (base 2) to base 10. -9565733 Convert -1003442114 (base 5) to base 7. -23062315 Convert 2021000220 (base 3) to base 15. d2b3 What is 21212002200 (base 3) in base 13? 554bb What is -10110001011000101010 (base 2) in base 9? -1326600 What is -20513505 (base 7) in base 11? -a85422 Convert 9394c6 (base 13) to base 4. 31021301323 Convert -2716278 (base 9) to base 15. -1e5a98 What is 555aed (base 15) in base 11? 232a3a8 What is -3554431 (base 6) in base 8? -553763 What is -3e27e0 (base 16) in base 15? -556e2a Convert -43152436 (base 7) to base 6. -210450224 11012010012102 (base 3) to base 2 1000011111100101010000 -10110011001011011111111 (base 2) to base 15 -7ae9de -48618 (base 12) to base 4 -113311310 Convert -b22a (base 14) to base 2. -111011110010110 49bdcc (base 15) to base 6 203422103 229aa (base 15) to base 5 12011220 What is -11400552 (base 6) in base 14? -9460c Convert 4162502 (base 9) to base 13. 5cc2b2 What is -732664 (base 8) in base 6? -5113324 Convert 2b51656 (base 12) to base 4. 201220031202 -101110111100100001111 (base 2) to base 16 -17790f -102913c (base 13) to base 6 -253035204 Convert 10325646 (base 8) to base 2. 1000011010101110100110 Convert -965a62 (base 12) to base 14. -45b278 -31312 (base 15) to base 8 -460446 153a0 (base 14) to base 8 147200 What is 34201033 (base 5) in base 3? 120102000011 -e9a26 (base 15) to base 16 -b5023 What is 834144 (base 9) in base 7? 4131322 Convert 61423544 (base 7) to base 11. 2995a26 -268031 (base 10) to base 15 -5463b What is 1249a3 (base 12) in base 16? 48e8b -156977 (base 11) to base 13 -86a43 Convert -22114422 (base 6) to base 13. -1a2b95 1652957 (base 12) to base 2 10001011111111111010011 What is 7799a (base 15) in base 3? 201022111101 Convert -76910 (base 12) to base 9. -258113 -11025255 (base 8) to base 6 -122445125 1110111011001011110100 (base 2) to base 11 2232520 172238 (base 10) to base 3 22202021012 Convert 1522662 (base 7) to base 15. 41740 What is -1001110010000000110011 (base 2) in base 15? -359b32 What is 120504 (base 11) in base 2? 101110100111011110 What is -4144004 (base 5) in base 11? -47620 Convert 113013333 (base 4) to base 3. 11210221010 What is 42004302 (base 5) in base 7? 2632604 What is 4404031 (base 5) in base 9? 124526 What is -122302010 (base 4) in base 9? -176428 Convert -3766771 (base 9) to base 12. -82b631 What is 2bbaa0 (base 13) in base 16? 108578 -3002b (base 12) to base 8 -171443 -21012221010 (base 3) to base 16 -22b18 What is -438144 (base 13) in base 7? -16334436 Convert -929299 (base 12) to base 5. -1042000132 Convert -121302242 (base 5) to base 9. -1061814 What is 474002 (base 11) in base 13? 2043a6 -102433010 (base 5) to base 13 -12397c -437920 (base 12) to base 5 -233232302 -546574 (base 8) to base 4 -230311330 What is -1e7516 (base 15) in base 10? -1492896 Convert -22220102 (base 4) to base 11. -2a790 -9d57c1 (base 14) to base 16 -51b64d 103103102303 (base 4) to base 12 184012b What is -1793541 (base 10) in base 15? -256646 What is -28eb3 (base 15) in base 12? -64180 Convert 230024302 (base 5) to base 16. f866c Convert -a173a1 (base 12) to base 5. -1121143310 What is -12a992 (base 11) in base 2? -110010000000100001 -143351 (base 7) to base 8 -65747 1102022010 (base 3) to base 15 8416 Convert -202101122121110 (base 3) to base 2. -101001010110000111010111 Convert 11100111100110101101010 (base 2) to base 13. 1759488 -12012121120 (base 3) to base 15 -2058c -10010111110110001 (base 2) to base 15 -18080 Convert -220023231222 (base 4) to base 16. -a0bb6a -11521470 (base 9) to base 3 -101120201112100 Convert -2443111 (base 7) to base 3. -120220122121 5a517 (base 12) to base 8 355543 What is -221202120012 (base 3) in base 11? -316a69 What is 22344113 (base 5) in base 9? 334200 What is -816c83 (base 16) in base 11? -487365a 32321035 (base 8) to base 12 239a2a5 22110223031 (base 4) to base 9 5074085 -74b15 (base 15) to base 14 -98d90 Convert -34bab4 (base 13) to base 6. -42514051 -2021122020101 (base 3) to base 2 -100101000001100101100 -4253230 (base 6) to base 2 -110011000111110010 -32ebc (base 16) to base 13 -73c20 -12110312131 (base 4) to base 5 -411031034 -6126905 (base 10) to base 12 -20757b5 Convert -12434304 (base 5) to base 9. -208483 What is -1c1196 (base 14) in base 6? -33250212 What is 205723 (base 8) in base 7? 403615 Convert -18305b (base 12) to base 7. -3366263 Convert -12131131130 (base 5) to base 10. -14317665 663a60 (base 11) to base 12 431111 What is -20334441 (base 5) in base 16? -290b9 What is 333133213 (base 4) in base 9? 435667 7b26b (base 13) to base 7 1623403 Convert 85421 (base 16) to base 12. 223a55 Convert -33342402 (base 5) to base 4. -1013221211 What is -114144031 (base 5) in base 11? -337828 Convert -101000100111011011100 (base 2) to base 9. -2447586 -2154505 (base 6) to base 8 -324111 What is 2743311 (base 8) in base 14? 161397 Convert 25143 (base 13) to base 8. 205353 Convert -16222017 (base 8) to base 15. -4de873 Convert 26ca22 (base 13) to base 3. 1202212020011 -69ab3 (base 15) to base 4 -1102022133 What is 70269 (base 11) in base 15? 206d9 What is 111012211222012 (base 3) in base 6? 410314005 -23232013213 (base 4) to base 7 -35054455 What is 5d7499 (base 16) in base 6? 335135025 What is -10210011010 (base 3) in base 11? -50a4a What is -dc8c4 (base 14) in base 10? -534076 What is 1310411444 (base 5) in base 14? 5da29d What is -15266 (base 14) in base 2? -1100110110001010 -5335037 (base 8) to base 3 -2200100020011 What is 20231322112 (base 4) in base 9? 4262637 What is -3b7868 (base 12) in base 16? -f1310 Convert -109065 (base 10) to base 14. -2ba65 What is -4872694 (base 10) in base 12? -176ba1a 100011100111001 (base 2) to base 8 43471 -3209734 (base 11) to base 16 -5634f0 What is 102200021121 (base 3) in base 4? 320013100 What is 11532050 (base 8) in base 14? 4a053a -11e31 (base 16) to base 8 -217061 Convert 1503014 (base 7) to base 15. 400ee Convert -491226 (base 10) to base 16. -77eda -322156 (base 8) to base 10 -107630 What is -4ac16 (base 15) in base 11? -1535a7 Convert -1000000111001010011 (base 2) t
{ "pile_set_name": "DM Mathematics" }
in seven quarters of a gram? 1750 What is 3/40 of a millennium in years? 75 How many micrometers are there in twenty-five eighths of a millimeter? 3125 How many litres are there in 0.7989495 millilitres? 0.0007989495 What is 27631.8 microseconds in milliseconds? 27.6318 How many months are there in 6/5 of a decade? 144 How many minutes are there in 3/10 of a hour? 18 How many milligrams are there in 10239.88 grams? 10239880 Convert 72.53232 years to millennia. 0.07253232 What is eleven quarters of a week in minutes? 27720 How many millilitres are there in seventy-five quarters of a litre? 18750 What is twenty-seven quarters of a litre in millilitres? 6750 Convert 209.208 minutes to microseconds. 12552480000 What is 13/4 of a tonne in kilograms? 3250 How many millennia are there in 14.777226 months? 0.0012314355 What is 1/10 of a decade in years? 1 What is 44/5 of a micrometer in nanometers? 8800 What is 362736.2 millilitres in litres? 362.7362 What is 10/3 of a day in minutes? 4800 How many months are there in three tenths of a millennium? 3600 How many millimeters are there in six fifths of a centimeter? 12 How many hours are there in 672.0859 weeks? 112910.4312 Convert 85.0728m to micrometers. 85072800 How many micrometers are there in 7/16 of a centimeter? 4375 How many micrometers are there in 247.8462 centimeters? 2478462 What is thirty-one halves of a century in months? 18600 How many milliseconds are there in 45.63775 nanoseconds? 0.00004563775 How many minutes are there in 275604.5 weeks? 2778093360 What is seven eighths of a litre in millilitres? 875 What is 0.9715268nm in kilometers? 0.0000000000009715268 How many millilitres are there in 33/5 of a litre? 6600 How many months are there in twenty-one eighths of a century? 3150 What is three eighths of a tonne in kilograms? 375 Convert 5323.834 years to centuries. 53.23834 How many micrometers are there in seven halves of a millimeter? 3500 Convert 2736.95 litres to millilitres. 2736950 How many nanograms are there in 1/5 of a microgram? 200 How many centimeters are there in 4405.472 kilometers? 440547200 What is 119139.5t in nanograms? 119139500000000000000 How many micrograms are there in fifteen quarters of a milligram? 3750 How many months are there in fourty-nine sixths of a century? 9800 What is 17/4 of a litre in millilitres? 4250 How many months are there in 401.8643 decades? 48223.716 What is 312.92 litres in millilitres? 312920 What is 0.5154041 kilograms in micrograms? 515404100 What is 15/4 of a meter in millimeters? 3750 How many nanometers are there in 17/2 of a micrometer? 8500 How many centuries are there in 0.6700232 millennia? 6.700232 How many hours are there in 23/7 of a week? 552 What is one quarter of a litre in millilitres? 250 What is 18130.6134ms in days? 0.0002098450625 What is 724922.5 weeks in seconds? 438433128000 What is 8/7 of a week in hours? 192 What is 650833.4 millilitres in litres? 650.8334 How many centimeters are there in twenty-one fifths of a meter? 420 Convert 626.0365 litres to millilitres. 626036.5 What is 3/5 of a litre in millilitres? 600 What is 6/5 of a century in decades? 12 What is 33/10 of a litre in millilitres? 3300 How many micrometers are there in twenty-one quarters of a millimeter? 5250 What is 5143.237um in centimeters? 0.5143237 What is 1/5 of a century in years? 20 How many years are there in 8.129008 millennia? 8129.008 What is 13/4 of a litre in millilitres? 3250 How many litres are there in 11.8282 millilitres? 0.0118282 What is 1/10 of a litre in millilitres? 100 How many meters are there in 0.5675378nm? 0.0000000005675378 What is 1/6 of a decade in months? 20 How many milligrams are there in 0.931142ng? 0.000000931142 How many hours are there in 6.10647 weeks? 1025.88696 What is 0.9202755 centuries in millennia? 0.09202755 How many milligrams are there in eighteen fifths of a gram? 3600 How many millilitres are there in one fifth of a litre? 200 What is two ninths of a day in minutes? 320 What is 428.2123 hours in microseconds? 1541564280000 What is 1/16 of a day in minutes? 90 What is seven quarters of a litre in millilitres? 1750 What is seventeen quarters of a hour in seconds? 15300 What is 5/6 of a millennium in months? 10000 What is five sixths of a millennium in months? 10000 How many centuries are there in 0.9783975 years? 0.009783975 How many meters are there in twenty-nine fifths of a kilometer? 5800 How many nanograms are there in 47.97012kg? 47970120000000 What is 1/4 of a litre in millilitres? 250 Convert 2195.358ns to microseconds. 2.195358 Convert 711835.1m to centimeters. 71183510 How many millilitres are there in 3/25 of a litre? 120 Convert 4.368391 centimeters to meters. 0.04368391 Convert 0.505039g to kilograms. 0.000505039 How many milligrams are there in twenty-seven halves of a gram? 13500 How many months are there in 8/25 of a century? 384 How many nanograms are there in 33/5 of a microgram? 6600 What is 43771.21 millilitres in litres? 43.77121 Convert 4.54081ml to litres. 0.00454081 How many hours are there in three eighths of a week? 63 How many seconds are there in 16/15 of a hour? 3840 What is 3/40 of a millimeter in nanometers? 75000 What is 35.36376 years in centuries? 0.3536376 How many decades are there in 3/5 of a millennium? 60 How many minutes are there in five sixths of a day? 1200 What is 17/4 of a litre in millilitres? 4250 How many years are there in fifteen quarters of a century? 375 How many micrograms are there in 3558.38 nanograms? 3.55838 What is 2316.369 months in millennia? 0.19303075 How many years are there in 196068.39 months? 16339.0325 What is 781.003 decades in years? 7810.03 What is 0.1490926 micrograms in grams? 0.0000001490926 What is 5.468475 months in decades? 0.045570625 What is 91.87857 hours in milliseconds? 330762852 Convert 530.6635us to milliseconds. 0.5306635 How many years are there in three eighths of a millennium? 375 Convert 40.80419nm to kilometers. 0.00000000004080419 What is three fifths of a kilogram in grams? 600 What is 3/50 of a kilogram in grams? 60 What is 27/5 of a litre in millilitres? 5400 Convert 464137.6 years to centuries. 4641.376 What is three fifths of a decade in months? 72 Convert 33108.04 litres to millilitres. 33108040 Convert 16455.34 kilometers to centimeters. 1645534000 How many millimeters are there in three tenths of a meter? 300 How many months are there in eleven tenths of a millennium? 13200 How many milligrams are there in 13/5 of a gram? 2600 How many millilitres are there in fourty-four fifths of a litre? 8800 How many hours are there in 83/3 of a week? 4648 What is 8/25 of a micrometer in nanometers? 320 How many millimeters are there in one tenth of a centimeter? 1 Convert 0.2818068ml to litres. 0.0002818068 Convert 0.5029048mg to tonnes. 0.0000000005029048 How many nanograms are there in 11/2 of a microgram? 5500 What is one fifth of a litre in millilitres? 200 How many meters are there in 37/2 of a kilometer? 18500 How many micrometers are there in six fifths of a millimeter? 1200 What is 17/2 of a millimeter in micrometers? 8500 How many centuries are there in three fifths of a millennium? 6 How many grams are there in 3/40 of a kilogram? 75 How many minutes are there in 86639.46 weeks? 873325756.8 Convert 0.9325078 years to decades. 0.09325078 What is 1654.4736ms in minutes? 0.02757456 What is seven eighths of a milligram in micrograms? 875 How many meters are there in fifteen quarters of a kilometer? 3750 What is 0.607265um in kilometers? 0.000000000607265 What is one fifth of a day in minutes? 288 What is 48.1775 weeks in microseconds? 29137752000000 How many kilograms are there in 6/25 of a tonne? 240 What is 13/5 of a tonne in kilograms? 2600 What is 0.9467714 kilometers in meters? 946.7714 How many meters are there in twenty-seven quarters of a kilometer? 6750 How many litres are there in 56.09033 millilitres? 0.05609033 What is three sevenths of a week in hours? 72 How many litres are there in 0.5198411ml? 0.0005198411 How many micrometers are there in 25/8 of a centimeter? 31250 What is 8239.161m in millimeters? 8239161 What is one twentieth of a hour in seconds? 180 Convert 19478.05 decades to years. 1947
{ "pile_set_name": "DM Mathematics" }
= 5, 0 = w - 5*b - 4. Let j = 3 + w. Let z = 5 + j. Let k(f) = -3*f**2 + 4*f - 2. Determine k(z). -6 Let z(v) = -8*v + 1. Let t be 6/(-8)*(-148)/(-37). Determine z(t). 25 Let d = -21 + 34. Let k = d - 14. Let l(w) be the second derivative of -w**4/4 + w**3/6 + w**2/2 + 2*w. What is l(k)? -3 Let x = 36 - 62. Suppose -127*f + 116*f - 275 = 0. Let c = x - f. Let l(d) = -15*d**3 - 1. Determine l(c). 14 Let l(w) = 5*w**2 + 3*w + 7 + 4*w**2 - 4*w**2 + w**2 - 7*w**2. Determine l(6). -11 Let v be 3 - (-3)/((-6)/(-8)). Let o = v + -2. Let f(w) = w**3 - 5*w**2 - w**2 + 1 - 1 - 3 + 4*w. Determine f(o). -8 Let z(x) = 26 + 14 - 36 + x. Determine z(-11). -7 Let v = -13 + 3. Let o = v - -5. Let k(q) = -5*q**2 - 7*q - 4. Let h(t) = 6*t**2 + 8*t + 4. Let s(l) = 4*h(l) + 5*k(l). Determine s(o). -14 Let r(f) = -f**2 - f. Let t be (-76)/(-19) - 5/1. Let a(q) = 2*q**2 - 7*q + 5. Let n(g) = t*a(g) - 3*r(g). Determine n(-8). -21 Suppose 0 = v + 2 + 3. Let z(k) be the second derivative of 2*k**3/3 + 2*k**2 - 6*k. Calculate z(v). -16 Suppose 4*o + 10*w - 17*w - 22 = 0, 0 = -4*w - 8. Let z(f) be the first derivative of f**3 - f - 1. What is z(o)? 11 Let q(j) = -j**3 - 6*j**2 + 28*j + 5. Suppose 11*z = -31 - 68. Determine q(z). -4 Let u(o) = -5*o - 3*o**3 + 7 - 10*o**2 + 2*o**3 + 4*o**2. Let w(k) = -k**2 + 4*k + 11. Let p be w(6). Let v be 5/p*(-5 + 6). Give u(v). 7 Let i = 2 + -1. Let n(h) be the third derivative of h**6/8 - h**5/60 + 2*h**2 + 96*h. Give n(i). 14 Let n = -58 - -49. Let s(y) = y + 14. Let i be s(n). Let x(h) = -h**3 + 4*h**2 + 3*h + 3. Give x(i). -7 Let q be (-154)/(-33)*(-6)/(-4). Let i = q - 2. Suppose r = -i*n - 12, r + 12 = 2*r - 3*n. Let p(a) = a**2 - 5*a + 3. Give p(r). -3 Let b(y) = y**3 + y**2 - y - 11. Let p be 0/(-10 - -8) + 0. Calculate b(p). -11 Let r(h) be the third derivative of h**5/60 + h**4/2 + 13*h**3/6 - 188*h**2. Calculate r(-12). 13 Let j(x) = -x**3 - 18*x**2 - 33*x - 22. Let i be j(-16). Let n be 5/(-5)*(-6)/1. Let d(t) = -3*t**2 - t + 2*t**2 - n*t. Determine d(i). 6 Let j(p) = -p - 2. Let b = 53 - 47. Let g(h) = 1. Let i(u) = b*g(u) - j(u). Calculate i(-8). 0 Let j(d) = -d**3 - 8*d**2 + d + 10. Let p be j(-8). Let m(q) = -8*q**2 + 3 - q**p - q + 2*q**3 - q**3 + 0*q**3. Let z = 119 + -110. What is m(z)? -6 Let f = 5 - 2. Let j(b) be the third derivative of -1/120*b**6 + 1/2*b**3 - 1/24*b**4 + 0 + 1/30*b**5 + b + 16*b**2. What is j(f)? -9 Let n(a) = a**2 + 8*a - 53. Let o be n(4). Let j(h) = -h - 6. What is j(o)? -1 Suppose -3*z = 2*y - 26, 14*z = 19*z - 5*y - 10. Let j(b) = -b**3 + 8*b**2 - 5*b - 2. What is j(z)? 40 Let b(p) = p**2 + 7*p**3 - 4*p**3 - 2*p**3 + 7*p**3. Give b(1). 9 Let u(k) = -k + 15. Let l(o) = -9. Let j(h) = 3*l(h) + 2*u(h). Let i be (-2)/((1 - 1) + -1). Calculate j(i). -1 Let h(m) = -8*m**2 + 9*m - 9. Let q(k) = -k**2 + k - 1. Let x(v) = -h(v) + 6*q(v). Let a(c) = c**2 - 2*c + 2. Let l(f) = -3*a(f) + 2*x(f). Determine l(-3). 9 Let x(h) = h + 9. Let k = -18 + 16. Let m be -1 - k/(-4)*6. What is x(m)? 5 Let n be ((-6)/4)/(5 - (-117)/(-26)). Let q(c) = -c**2 - 2*c - 2. What is q(n)? -5 Suppose 2*y = 5 - 3. Let c = y + -1. Let l(s) = 23*s - 1 - 42*s + 20*s + 11. Give l(c). 10 Let a = 7 + -5. Let b(y) be the third derivative of y**6/120 - y**4/12 + y**3/2 - 214*y**2. Give b(a). 7 Suppose -2*z = -m - 3, m = -3*z - m + 8. Let y(j) = -5*j + 3*j**3 + 4*j + 5 - z*j**3 + j**2. Calculate y(0). 5 Let m(z) be the first derivative of z**4/4 + z - 1. Let r = -13 + 15. Suppose -l + 0*l + r*w = -2, 4*w = -4. Determine m(l). 1 Let t(y) = -y**3 + y**2 - y + 7. Let w(f) = 5*f**2 - 4*f. Let d(q) = -q**2. Let b(v) = 6*d(v) + w(v). Let p be b(0). What is t(p)? 7 Let k = 41 - 45. Let v be (1/2 - 0)*k. Let h be ((-1)/v)/(6/12). Let t(u) = -5*u**2 - 1. Give t(h). -6 Let v be ((-16)/(-3))/(16/72). Suppose -4 - v = 5*i - 3*m, 4*m = -4*i - 16. Let t(c) be the third derivative of -c**4/8 - c**3/3 + 2*c**2 + 10*c. Give t(i). 13 Let d(a) = a**3 + 8*a**2 + a + 2. Suppose 43*n - 6*n + 296 = 0. Give d(n). -6 Let y(b) be the first derivative of -2 - b + 1/3*b**3 + 1/2*b**2. Suppose -l - 2 = -2*u - 7, -2*u - l + 1 = 0. Give y(u). -1 Let a(f) = -f**2 + 2*f + 1. Let t(x) = -4*x**2 + 16*x - 5. Let q be t(3). Determine a(q). -34 Suppose -15 - 7 = -5*i + 4*a, 4*i + 4*a - 32 = 0. Let r(b) = -6 + 14 + 0*b - b**2 - i*b + 0*b. What is r(-6)? 8 Let h = -281 + 281. Let o(y) be the first derivative of h*y**2 - 3 + 1/2*y**4 + 2*y + 2/3*y**3. Give o(-2). -6 Let f(o) = o**3 + 7*o**2 + 5*o - 6. Let m = -1 - 0. Let t be 15/(-10)*2 - (-1 - -3). Let b = m + t. Calculate f(b). 0 Let k(d) = -d - 22. Suppose 5*l - 4*c = -70, -c + 25 = -6*c. Give k(l). -4 Suppose 7 = 2*s + 3. Let l(b) = -94 + 0*b + b**s + 5*b + 93. Give l(-5). -1 Suppose 30 = 5*i + 2*z - z, -4*z + 10 = -2*i. Let a(k) = k. Let c(l) = -2*l. Let d(f) = -3*a(f) - 2*c(f). What is d(i)? 5 Let c be (-2 + 3 + 0)/1. Suppose 2*a = -5 + c. Let t(s) = s**2 + 2*s + 1. Determine t(a). 1 Let u(c) be the first derivative of -1/30*c**5 + 0*c**2 + 1/6*c**4 - 8 + 4/3*c**3 + 0*c. Let j(w) be the third derivative of u(w). Determine j(3). -8 Let j(g) be the third derivative of -g**4/24 - 3*g**3/2 + g**2. Let s(w) = w**3 - 56*w**2 - 79*w + 1254. Let f be s(57). Give j(f). -9 Let i(m) = 5*m - 15. Let p be i(12). Let b be (-10)/p + (-20)/(-9). Let h(z) = 2*z**2 - b*z - 3 + 2*z + 4. Calculate h(2). 9 Let r(h) = -3*h**2 + 2. Let o(t) = -7*t**2 + t + 5. Let l(j) = 2*o(j) - 5*r(j). Suppose -20*u = 2*u + 66. What is l(u)? 3 Let b be 9/(-4) - 126/(-24). Let s(n) be the second derivative of -5/2*n**2 + 0 - 5/6*n**b - 1/12*n**4 - 10*n. Give s(-4). -1 Let r(u) = 2*u**2 + 3*u + 3. Suppose -7*n + 72 = -3*n. Let q = 16 - n. Determine r(q). 5 Let b = -69 + 81. Let f = b + -6. Let l(g) = -3*g + 9. Calculate l(f). -9 Suppose -73*k + 67*k = 36. Let g(n) = -n**3 - 5*n**2 + 7*n + 6. What is g(k)? 0 Let k(i) = -i - 34. Let a(n) = 11. Let c(o) = 11*a(o) + 4*k(o). Let m be c(-3). Let p(v) = -v + 1. What is p(m)? 4 Let g(n) = -5*n - 1. Suppose 2 = i - 28*j + 27*j, -9 = 3*j. Determine g(i). 4 Let x(d) be the first derivative of d**5/20 + 5*d**4/12 + d**3/3 - 31*d - 8. Let n(m) be the first derivative of x(m). Determine n(-5). -10 Let c(t) = -t**2 - 3*t + 11. Let m be c(-5). Let a(y) = -3*y - m - 4 + 7. Calculate a(-4). 14 Let x(c) = c**2 - 5*c - 8. Let h(g) = -g - 2. Let k be h(-7). Suppose k*m - 8 = -3*l, -2*m = 2*l - 3*m - 14. Calculate x(l). -2 Let h(g) = -3*g**2 + g + 7. Let r(f) = -7*f**2 + 14 - 3*f**2 + 2*f + 4*f**2 - f**2. Let s(c) = 5*h(c) - 2*r(c). Give s(0). 7 Let i be 2 + -2 + 6 + (37 - 41). Let b(s) = 5*s**3 - 3*s**2. What is b(i)? 28 Let o(n) = -7 + 2*n**2 + 2*n**2 + 9*n - 8*n**2 + 3*n**2. Give o(7). 7 Let y(c) be the first derivative of -c**4/4 + 10*c**3/3 - 3*c**2/2 + 17*c + 56. Calculate y(10). -13 Let f(r) be the second derivative of 0*r**2 + 1/12*r**4 + 30*r - 1/20*r**5 + 0 - 1/6*r**3. Determine f(2). -6 Suppose 5*q - 7*q = -46. Suppose 5*g - q = -8. Let l(v) = 7*v - v - v**2 + g*v - 8*v - 2. Calculate l(0). -2 Suppose -14 = -2*t + 3*u - 5, 0 = 2*t - u - 19. Let g(x) = -1 + 4*x**2 + t*x**2 - 2*x**2. Suppose -d + 4 = 3*d. Determine g(d). 13 Let z(s) = -s + 1. Let l be z(-1). Suppose 0 = -l*m + 4*k - 8, 20 = -5*m + 5*k. Let h(b) be the second derivative of b**3/6 - 2*b**2 - 2*b. What is h(m)? -8 Let b(h) = h. Let d(v) be the first derivative of -3*v**2/2 + v - 1. Let f(j) = -2*b(j) + d(j). Let w be (-8)/(-20) - (-28)/(-20). Determine f(w). 6 Let s(u) = 8*u**2 + u + 1. Suppose 2*g - 283 + 279 = 0. Give s(g). 35 Let m be (-6)/39 - 134/(-26). Suppose -m*v + 14 = 4*k, 3*k + 2*v - 6 - 1 = 0. Let s(l) = -l + 11*l - 9*l - k. What is s(-4)? -5 Let s(q) = 4*q + 73. Let k = 2347 + -2365. Calculate s(k). 1 Suppose -87*s - 28 = -83*s. Let w(l) = l**2 + 8*l + 2. Calculate w(s). -5 Let c(z) = -3*z**2 - 3*z. Let y(t) = -14*t**2 - 12*t - 1. Let d(u) = -9*c(u) + 2*y(u). Determine d(8). -42 Let s(q) = -5*q**2 - 4*q + 9. Let f(u) = 9*u**2 + 7*u - 17. Let l(x) = -4*f(x) - 7*s(x). Suppose -4*b + b - 72 = 0. Let a = b - -24. Calculate l(a). 5 Suppose -46*y - 408 = 22*y. Let x(c) = -c**2 - 9*c - 2*c + 2*c - 4. Determine x(y). 14 Let o(u) be the second derivative of 1/2*u**2 + 0 + 1/12*u**4 + 7/20*u**5 + u + 1/3*u**3. Determine o(-1). -7 Let n(k) = -2*k -
{ "pile_set_name": "DM Mathematics" }
a. 4 Solve 0 = -j - 5*w + 4672 - 4719, 124*j - 24 = 126*j - 2*w + 5*w for j. 3 Solve -z - z + 192 = 47*r, -3*r = 74*z - 76*z - 8 for r. 4 Solve -21727*w + 4*v = -21722*w - 38, -120*w - 2*v + 716 = 0 for w. 6 Solve 4*d + i = -22, -4*i - 37 + 2 = -3*d - 4 for d. -3 Solve -2*k - 254*x - 1 = -253*x, 5*x = 18*k - 117 for k. 4 Solve 2*a + 0*x - 7*x + 121 = 0, -4*a + 155*x - 21 = 154*x for a. -1 Solve -16*j + 3*x - 21 = -17*j, 68 = 30*j - 3*x - 4 for j. 3 Solve 11*c - 9*w + 65 = 0, 47 - 54 = -5*c - 2*w for c. -1 Solve -x = 2*x - 2*t - 4*t + 24, 5*x - 16*t - 16 = -20*t for x. 0 Solve 5*g + 103 = -14*u, 3*g - 1009*u - 9 = -1008*u - 5 for g. -1 Solve 3*n - 18 = -2*y - 0*n + 7, 2*y - 3*n = 43 for y. 17 Solve -5*z + 262 = -11*i + 172, -z + 17 = -2*i for i. -5 Solve t + 13*a - 14*a + 46 = 0, 2009 = 49*a for t. -5 Solve 23 = v - 2*h, -40*v + 34*h - 5*h + 131 = -39*v for v. 15 Solve -1094*k + 1099*k - 4*m - 225 = 0, -179*k - 3*m + 360 = -171*k for k. 45 Solve y + 2*w - 6*w + 11918 = 11946, 335 = 14*y + w for y. 24 Solve -21 = -4*i + 3*j, -3*i + 2*j + 0 = -11 - 5 for i. 6 Solve 5*q - 19 = -o + 3 + 10, 55 = -5*o + 5*q + 5 for o. -3 Solve -2*r + 51 = -5*j, -201 = -j + 11*r - 17*r for j. 3 Solve 23*a = 2*x + 24*a - 59, -63*x - 53*x + 3687 = 5*a for x. 32 Solve -5*i = -6201*j + 6202*j + 60, 17*i = -17*j - 272 for i. -11 Solve -3*q - 40 = -87269*j + 87268*j, 4*q + 70 = -7*j for q. -14 Solve 8*j + 40 = 0, -573*j = -4*x - 575*j + 30 for x. 10 Solve -5*i + 720*h - 723*h - 36 = 0, 4*h + 59 = -3*i for i. 3 Solve 5*h = -140*p - 1795, 5*h + 1943 - 1916 = -4*p for p. -13 Solve 69 = -7*v - 3*u, 5*v - 701606 = -3*u - 701657 for v. -9 Solve 0 = -2*u + 4*x + 10, -6*u + 2*u + 83*x - 43*x - 37*x = 0 for u. -3 Solve -58 + 45 = 2*n - 3*m, -8*m + 26 = -n for n. -2 Solve 5*v - 4*y + 5 = 0, -2*v + 5*y - 34 = -15 for v. 3 Solve 3*y + 3*q = 18, -22*q - 23 = 4*y - 2*y - 25*q for y. -1 Solve -2*m - 24*m + 78 = -5*o, 23*m - 12*m + o = 13*m - 6 for m. 3 Solve 3*d - 2*l = -30, 2*d - 1023*l + 1019*l + 28 = 0 for d. -8 Solve 4*y - s + 9 + 11 = 0, 547 - 1091 = 4*y + 3*s - 556 for y. -3 Solve 9*j + 4*u + 97 + 107 = 12, -7*j + 141 = -4*u - 115 for j. 4 Solve -186 = 3*d + 1725*y - 1737*y, 32 = 2*y for d. 2 Solve -335*a = -338*a - 5*y - 21, -2*y = 3*y + 15 for a. -2 Solve -194 - 14 = 52*g, 0 = 4*a + 6*g - 33*g - 160 for a. 13 Solve 2*g = 3*h - 2390793 + 2390812, 0 = -4*g + 3*h + 23 for g. 2 Solve 5*y - m - 69 + 11 = m, -y + 5*m + 145 = 0 for y. 0 Solve 0 = -14*s + 140, 2032*r - s + 14 = 2034*r for r. 2 Solve -2*k = -3*h - 7*k + 9*k - 65, 35 = 2*h + 9*k + 20 for h. -15 Solve -4421*n + 4417*n - 148 = 6*h, -3*n + 3*h = 126 for n. -40 Solve -9409*f + 9414*f + 38 = -6*i, 0 = 2*f + 5*i + 23 for f. -4 Solve -3*o - 3*z - 5*z = 3*z - 98, -o - 34*z + 344 = -6*z + 68 for o. -4 Solve -m = -5*j + 16, -2246*j = -2245*j + 33*m + 528 for j. 0 Solve -4*i + 60*t + 252 = 0, 226893*i + 13 = 226894*i - 5*t for i. -12 Solve -4*w = 33*b - 153, -18*w - 38 = -8*b + 4*b + 25*w - 37*w for b. 5 Solve 0 = -4*n - 3*p + 37, 2*n + 19 + 36 = -84*p + 93*p for n. 4 Solve -2*t + 27 = 5*p, -2617*p - 53 = -1306*p - 1316*p - 3*t for p. -5 Solve -11*m - 2 - 61 = -2*z, -z - 4*m = 3*z - 100 for z. 26 Solve 4*s + 6 = -1209941*w + 1209943*w, -10*w + s = -125 for w. 13 Solve 77*v - 778 = 2*k, 4*v - 254*k + 249*k = 60 for v. 10 Solve o - 3*z = 73, -5544*z + 5542*z = -4*o + 302 for o. 76 Solve -9*o - 3*r - 2*r + 81 = 7*o - 42, -3*r = 4*o - 29 for o. 8 Solve 0 = -5*n + 3*s - 261, -4*n = s - 29492 + 29711 for n. -54 Solve -12*b - 12*b = -13*p - 16*b + 15, -5*p + 4*p + 6 = b for p. 3 Solve 2*o + 261*y - 264*y = -3*o - 83, -o - 7*y + 2*y = 39 for o. -19 Solve 190754*q - o - 37 = 190755*q + 2*o, 0 = -5*q - 6*o - 77 for q. -1 Solve 18 = -k - 4*t - 82, 53*t + 58*t + 75 = 108*t for k. 0 Solve 4*m - 4*y = -36, -45 = 131*m - 135*m - 5*y for m. 0 Solve -b = y + 9, -23*y - 33 = -18*y + 5*b - 3*b for y. -5 Solve 0 = -2*w - 4*v - 30, -184*w + 189*w - 2*v = -87 for w. -17 Solve -3*d = d + 47*c - 49*c - 12, -10*d - c + 54 = 0 for d. 5 Solve w - 5 = -2*a, 3*a = -2*a + 9*w + 702 - 632 for a. 5 Solve 4*x = -11*k + 11 + 129, 2*k - 71 + 1 = 180*x - 182*x for k. 0 Solve 5*n + 4960 - 4845 = 5*v, -2*n = -8*v + 76 for n. -18 Solve 80*a + g + 242 = 0, -a + 3844 = 4*g + 3855 for a. -3 Solve 86*x + 2*l + 52 + 148 + 226 = -0*x, 7*l + 6 = -4*x for x. -5 Solve 0 = 12*p - 85*p + 5*g - 310, 5*p - 51141*g + 51140*g = -14 for p. -5 Solve -604 = -14*m + 15*s - 442, m + 3*s + 21 = 0 for m. 3 Solve -3*h + 29 = 4*y - 2, -324 = -2*h - 6*y - 15*y - 230 for h. 5 Solve 61*n = d - 53, 9 - 5 = 3*d - 11*n + 17 for d. -8 Solve 0 = o + 3*o + 3*k + 42, 30*o - 43 = 35*o - k for o. -9 Solve -6*n + 622*l = 613*l - 141, -l - 1 = 3*n - 5*l + 5*l for n. 4 Solve -1548*h + 618 = -1547*h + 41*t, 0 = 2*h + t - 21 for h. 3 Solve -13*v + 7 = -j - 11*v, -2*j - 14 = 16*v + 4*v for j. -7 Solve 4*m + 12373 - 12389 = -4*s, -9*m + 50 = -5*s for m. 5 Solve -5*m + 5*f = 105, 13 = 28408*m - 28409*m - 3*f for m. -19 Solve 3*x + 4*k - 2*k + 3*k = 5 + 3, -59 = x + 14*k for x. 11 Solve 30*b - 7*s - 1896 = -3*s - 1952, 5*s - 139 = 3*b for b. 2 Solve -19405*u = -19401*u - 16, 8*s + 2*u = -24 for s. -4 Solve -2*h - 12 = 6*a, 87*a - 46*a + h = 45*a + 13 + 2 for a. -3 Solve 3*y + x - 1740 + 855 = 6*x - 852, -20*y = -3*x + 53 for y. -4 Solve -3*v + 6*v = 82*j + 15, 3*j - 398 + 413 = 3*v for v. 5 Solve 50*j - 1090 = q - 1143, 3*j = -q for j. -1 Solve -4895*a = -4890*a - 4*t + 43, -14*t = 27*a - 195 for a. 1 Solve -4*w = 5*c + 2, 0 = -16*c + 5*w + 57360 - 57491 for c. -6 Solve -u + 5*k = -10, k + 356 = 3*u + 368 for u. -5 Solve -r - 6*y - 30 = 0, 48746*r - y + 2 = 48745*r for r. -6 Solve 26111*n + 34*f + 140 = 26107*n, n + 2*f + 9 = 0 for n. -1 Solve 10*m + d + 1 + 160 = 0, -2520*d + 2522*d = -3*m - 50 for m. -16 Solve -4*m = -4*c - 7*m - 6, -111*c - 221 = -34*c + 5*m for c. -3 Solve 613*i - 616*i + 28*y - 13 = -15, 0 = -2*i - 2*y + 22 for i. 10 Solve 5*v = -35*h - 422 + 147, 3*v = 3*h - 2*h + 11 for h. -8 Solve 4*a + 35 = 5*m, -5*a = 6*a + 2*m + 144 - 221 for a. 5 Solve 0 = -5*u + 2*q - 38, 41615*u - 41576*u + 5*q = 2*q - 36 for u. -2 Solve 3*n + 43 = -5*k, -1064*n - 65*k = 1074*n - 2135*n + 703 for n. 4 Solve -6*c + 2*a + 26 = 0, 1028*c - 1029*c = -a - 5 for c. 4 Solve 4*j + 168 = 4*n, 78*n - 163*n - 6*j = -81*n - 4*j + 84 for n. 0 Solve 5*q - 14*v + 87 = 0, -42*q + 44*q - 63 = 5*q - 3*v for q. -23 Solve -4*c = -l - 16, -80 = -7507*c + 7506*c + 5*l for c. 0 Solve 313 - 61 = -4*a + 5*n, -144*n + 7492 = 2*a for a. 2 Solve 2*s = -5*b - 47, 4*s + 5*b = -24*s + 27*s - 46 for s. -1 Solve -3*p - 748*r + 377*r = -375*r - 83, 5*p + 5*r = -60 for p. 5 Solve -10*y = -6*y - 2*j - 17 - 73, 9*j - 55 = -5*y for y. 20 Solve 13*t - 18*t + 83 = -c + 72, 0 = -5*t + 2*c + 2 for t. 4 Solve 17*u + 0*g = -5*g - 34, -6 = 3*u + 6373*g - 6370*g for u. -2 Solve 2*r + 23 = -5*c + 5, -9 = 7*c - 5*r + 6*r for c. 0 Solve 561*i = 4*c + c + 562*i - 35, 3*c - 21 = 11*i for c. 7 Solve -3*p + 14*t = -2*t - 298, -10642 + 10676 = 2*p - 2*t for p. -2 Solve -2*o = 42, -56*w + 125*w - 64*w - 3*o - 53 = 0 for w. -2 Solve -5*h = 11*s - 88, s = s - 10*h + 6*h + 44 for s. 3 Solve -4623*r + 3 = -5*o - 4627*r, -4*o - 240 = 122*r for o. 1 Solve -77*x + 71*x - 75 = -3*k, -2*k + 463 = 18*k - 3*x for k. 23 Solve -723 - 425 = 41*j, -3*j - 84 = -3*h + 5*h + 3*h for h. 0 Solve 42 = -3*q + 1299*d - 1302*d, -15*d - 150 = 5*q for q. -6 Solve -7098*h + 3*w - 3 = -7095*h, 4*h - 5*w = -0 + 1 for h. -6 Solve 17*a - 12*a = 13*q - 18*q - 10, -26 = 6*a - q for a. -4 Solve -840*d + 424*d = -z - 2*z - 412*d + 119, 2*z = 2*d + 62 for z. 5 Solve c + 3*i - 30 = 0, 0 = 79*c - i + 128 - 356 for c. 3 Solve -104*o + 38*o + 6 = -32*o - 37*o, t = 4*o + 17 for t. 9 Solve 0 = -4*m - 2*k - 56, -m - 2*k + 1107236 - 1107301 = 0 for m. 3 Solve 4*v = 52*c - 55*c + 137, -4*v - 13*c = -15*c - 122 for v. 32 Solve -4*c = 24, 12252177 - 12252180 = 3*f - 3*c for f. -7 Solve 50 = -3*o + 4*c, o - 9*c = 10918 - 10973 for o. -10 Solve -7*l + 91 = 0, -1428*n + 1432*n - 5*l + 41 = -20 for n. 1 Solve 0 = 4*r + 4*w - 68, -4*r - 9126 + 9194 = -3*w for r. 17 Solve 5*k = -15*f + 19*f + 5, 4*k - 3*f = 646 - 643 for k. -3 Solve -21*r - 17*b - 12*b + 213 = -31*b, -6*b = r + 319 for r. 5 Solve -5*l + 7*n - 213 = 0, 3
{ "pile_set_name": "DM Mathematics" }
f 17559? 7 What is the units digit of 140076? 6 What is the units digit of 843? 3 What is the hundreds digit of 367? 3 What is the units digit of 96698? 8 What is the tens digit of 543? 4 What is the ten thousands digit of 24412? 2 What is the tens digit of 838? 3 What is the tens digit of 741? 4 What is the thousands digit of 101748? 1 What is the ten thousands digit of 10015? 1 What is the hundreds digit of 5616? 6 What is the tens digit of 3615? 1 What is the units digit of 3648? 8 What is the thousands digit of 5676? 5 What is the tens digit of 861? 6 What is the tens digit of 2710? 1 What is the units digit of 11105? 5 What is the units digit of 3283? 3 What is the units digit of 4843? 3 What is the units digit of 108? 8 What is the thousands digit of 4737? 4 What is the units digit of 8069? 9 What is the units digit of 9532? 2 What is the units digit of 1116? 6 What is the units digit of 541? 1 What is the thousands digit of 3237? 3 What is the units digit of 765? 5 What is the thousands digit of 20099? 0 What is the thousands digit of 1735? 1 What is the hundreds digit of 3062? 0 What is the tens digit of 1177? 7 What is the units digit of 606? 6 What is the thousands digit of 2327? 2 What is the units digit of 2556? 6 What is the thousands digit of 3354? 3 What is the hundreds digit of 1849? 8 What is the hundreds digit of 4402? 4 What is the ten thousands digit of 20578? 2 What is the tens digit of 45821? 2 What is the tens digit of 42593? 9 What is the thousands digit of 33464? 3 What is the units digit of 4196? 6 What is the hundreds digit of 2659? 6 What is the ten thousands digit of 49935? 4 What is the units digit of 839? 9 What is the units digit of 1205? 5 What is the thousands digit of 3135? 3 What is the units digit of 601? 1 What is the units digit of 75014? 4 What is the tens digit of 2084? 8 What is the hundreds digit of 9643? 6 What is the thousands digit of 1466? 1 What is the thousands digit of 2076? 2 What is the thousands digit of 9045? 9 What is the tens digit of 10903? 0 What is the hundreds digit of 1403? 4 What is the tens digit of 176? 7 What is the units digit of 30432? 2 What is the thousands digit of 15302? 5 What is the hundreds digit of 5299? 2 What is the units digit of 3348? 8 What is the tens digit of 6707? 0 What is the units digit of 17064? 4 What is the hundreds digit of 14920? 9 What is the units digit of 1829? 9 What is the hundreds digit of 2386? 3 What is the thousands digit of 23113? 3 What is the hundreds digit of 997? 9 What is the thousands digit of 151512? 1 What is the units digit of 407? 7 What is the tens digit of 56583? 8 What is the units digit of 66277? 7 What is the tens digit of 1413? 1 What is the units digit of 54836? 6 What is the tens digit of 380? 8 What is the hundreds digit of 291? 2 What is the tens digit of 41656? 5 What is the thousands digit of 20627? 0 What is the tens digit of 518? 1 What is the tens digit of 16870? 7 What is the tens digit of 16? 1 What is the units digit of 15853? 3 What is the hundreds digit of 1645? 6 What is the units digit of 98935? 5 What is the thousands digit of 7449? 7 What is the thousands digit of 10462? 0 What is the ten thousands digit of 47970? 4 What is the thousands digit of 14839? 4 What is the thousands digit of 1823? 1 What is the hundreds digit of 67169? 1 What is the thousands digit of 5334? 5 What is the units digit of 3778? 8 What is the hundreds digit of 6395? 3 What is the units digit of 352? 2 What is the hundreds digit of 266? 2 What is the tens digit of 9134? 3 What is the units digit of 1050? 0 What is the hundreds digit of 240? 2 What is the hundred thousands digit of 189051? 1 What is the units digit of 2418? 8 What is the hundreds digit of 7402? 4 What is the tens digit of 440? 4 What is the units digit of 435? 5 What is the tens digit of 59393? 9 What is the hundreds digit of 15931? 9 What is the thousands digit of 58701? 8 What is the tens digit of 4991? 9 What is the units digit of 48290? 0 What is the hundreds digit of 35089? 0 What is the hundreds digit of 116088? 0 What is the hundreds digit of 62412? 4 What is the tens digit of 5561? 6 What is the hundreds digit of 2169? 1 What is the tens digit of 1177? 7 What is the hundreds digit of 73198? 1 What is the units digit of 5372? 2 What is the units digit of 6948? 8 What is the thousands digit of 8638? 8 What is the tens digit of 1486? 8 What is the tens digit of 2692? 9 What is the thousands digit of 2701? 2 What is the thousands digit of 1528? 1 What is the hundreds digit of 5375? 3 What is the tens digit of 1002? 0 What is the hundreds digit of 918? 9 What is the units digit of 2730? 0 What is the tens digit of 2276? 7 What is the units digit of 200? 0 What is the units digit of 8? 8 What is the units digit of 140? 0 What is the hundreds digit of 23801? 8 What is the units digit of 1594? 4 What is the thousands digit of 6887? 6 What is the hundreds digit of 24502? 5 What is the tens digit of 206? 0 What is the tens digit of 1058? 5 What is the tens digit of 9424? 2 What is the ten thousands digit of 11896? 1 What is the tens digit of 51664? 6 What is the hundreds digit of 17129? 1 What is the units digit of 390? 0 What is the thousands digit of 6961? 6 What is the thousands digit of 6374? 6 What is the tens digit of 4185? 8 What is the hundreds digit of 588? 5 What is the units digit of 579? 9 What is the tens digit of 6809? 0 What is the thousands digit of 1868? 1 What is the tens digit of 18095? 9 What is the hundreds digit of 1105? 1 What is the thousands digit of 4512? 4 What is the thousands digit of 72524? 2 What is the tens digit of 975? 7 What is the units digit of 1576? 6 What is the tens digit of 23985? 8 What is the thousands digit of 4098? 4 What is the units digit of 46464? 4 What is the tens digit of 2587? 8 What is the tens digit of 166? 6 What is the thousands digit of 1402? 1 What is the units digit of 6284? 4 What is the hundreds digit of 12553? 5 What is the tens digit of 460? 6 What is the tens digit of 1565? 6 What is the thousands digit of 26178? 6 What is the tens digit of 895? 9 What is the hundreds digit of 10319? 3 What is the thousands digit of 169995? 9 What is the thousands digit of 3924? 3 What is the units digit of 4948? 8 What is the tens digit of 27403? 0 What is the hundreds digit of 2581? 5 What is the units digit of 961? 1 What is the ten thousands digit of 163163? 6 What is the tens digit of 22617? 1 What is the units digit of 668? 8 What is the tens digit of 71983? 8 What is the units digit of 194? 4 What is the units digit of 710? 0 What is the thousands digit of 41634? 1 What is the units digit of 545? 5 What is the units digit of 742? 2 What is the hundreds digit of 30023? 0 What is the units digit of 3578? 8 What is the tens digit of 2533? 3 What is the tens digit of 92? 9 What is the units digit of 52? 2 What is the tens digit of 987? 8 What is the units digit of 20745? 5 What is the tens digit of 23353? 5 What is the tens digit of 20059? 5 What is the tens digit of 749? 4 What is the hundreds digit of 81119? 1 What is the tens digit of 5153? 5 What is the hundreds digit of 9623? 6 What is the tens digit of 826? 2 What is the tens digit of 1174? 7 What is the tens digit of 3630? 3 What is the units digit of 74091? 1 What is the units digit of 11944? 4 What is the hundreds digit of 1274? 2 What is the tens digit of 14941? 4 What is the tens digit of 1590? 9 What is the tens digit of 473? 7 What is the tens digit of 60454? 5 What is the units digit of 2544? 4 What is the tens digit of 6418? 1 What is the units digit of 582? 2 What is the units digit of 1937? 7 What is the ten thousands digit of 76232? 7 What is the tens digit of 814? 1 What is the hundreds digit of 629? 6 What is the units digit of 1358? 8 What is the units digit of 70? 0 What is the units digit of 3458? 8 What is the ten thousands digit of 13941? 1 What is the thousands digit of 171043? 1 What is the units digit of 363? 3 What is the units digit of 27668? 8 What is the ten thousands digit of 24471? 2 What is the hundreds digit of 447? 4 What is the tens digit of 93? 9 What is the units digit of 7010? 0 What is the ten thousands digit of 25493? 2 What is
{ "pile_set_name": "DM Mathematics" }
(-2) + t/(-14). Which is the second smallest value? (a) -2/3 (b) 0 (c) g a Let d = -2/1687 - 210869/5061. Let m = 42 + d. Which is the third biggest value? (a) m (b) 4/5 (c) 1/2 a Let z = 0.05 - 0. Let h = -4.05 + z. Let w = -664/3531 + 2/321. Which is the biggest value? (a) h (b) 1/12 (c) w b Let w = 7 + -3. Let f = -1 - w. Let n = -4.3 - -3.3. What is the second smallest value in f, -0.2, n? n Let v be (((-7)/(-5))/(-7))/(2/(-6)). What is the second smallest value in -16, v, 0? 0 Suppose 3 + 4 = w - 3*d, -8 = -4*w + 2*d. Which is the second biggest value? (a) w (b) -0.3 (c) -0.1 c Let g = -0.057 - -2.957. Let l = g - 3. Let f = l + 0.6. Which is the third biggest value? (a) -0.3 (b) f (c) -0.2 a Let j = -5 + 5. What is the biggest value in -0.4, j, -5? j Let f be 1/2 - 10/(-4). Suppose -s - 13 = f*p, 2 = 2*p - 3*s - 4. Let t = 4 + p. What is the smallest value in t, 4, 0? 0 Suppose 4 = 5*n - 1. Let x be (-1)/n - 6/(-2). Let l = -0.02 + -0.28. What is the biggest value in l, -0.5, x? x Suppose 2*t + 3 = 5*v, -4*v - 5 = -1. Let x be (3/t)/(21/(-8)). Which is the biggest value? (a) x (b) -1 (c) 3 c Let i = -7 - -7.03. Let u = i - 1.03. What is the third biggest value in -0.5, u, -0.2? u Let q = -176 - -1934/11. Which is the biggest value? (a) 0.3 (b) -2 (c) 1/4 (d) q a Let w = -21 + 18. Which is the second smallest value? (a) 0.1 (b) -10 (c) w c Let k = -212.7 + 213. Which is the second smallest value? (a) k (b) -0.3 (c) -4 (d) -2 d Let d = -0.3 + 0.2. Let z = d - 0.3. Let m = -27.9 - -28. What is the second smallest value in z, -1, m? z Let f be -2*(2/1)/(-8). Let t(x) = x**3 + 2*x**2 - 5*x - 3. Let q be t(-3). Which is the biggest value? (a) -4 (b) q (c) f b Let x = -6 + 4. Let k = 0 + 0.3. Let p = -0.1 + k. Which is the biggest value? (a) -4 (b) x (c) p c Let l = -1.7 - -1.76. Let j = -5.06 + l. What is the third smallest value in j, -0.2, 2/21? 2/21 Let u = 2 + 0. Let w = u - 3. Let v = 0.7 + -0.5. What is the smallest value in w, v, 5? w Let w = -3 - -4. Let k = 6.6 - 9. Let p = 2 + k. Which is the third biggest value? (a) p (b) w (c) -1/4 a Let m = -2.146 + 0.146. Which is the third smallest value? (a) -2/189 (b) 4/7 (c) m b Let x(t) = -6*t**3 - 2*t - 3. Let y be x(-1). Let d = -0.2 + 0.1. Which is the second biggest value? (a) y (b) d (c) 0.1 c Let v = 2.27 - 0.97. Which is the second biggest value? (a) 1 (b) -0.2 (c) v a Suppose 0 = -4*d - 16 + 8. What is the second biggest value in 4, d, -1? -1 Let l = -0.5 - -4.5. Which is the fourth biggest value? (a) 1/8 (b) -1/2 (c) 2/5 (d) l b Let r = 9.88 + -10. Let y = 0.52 + r. What is the second smallest value in -4/7, -2/9, y? -2/9 Let b = 1.2 - 1.17. What is the second biggest value in b, 0.4, 4? 0.4 Let w = -2/41 - 37/82. What is the third biggest value in -0.4, -4/9, w, -4? w Let l be ((-234)/60 + 4)/((-6)/45). Let y = 2.6 + -0.6. Which is the third biggest value? (a) y (b) l (c) -3 c Let s = -0.04 - -0.07. Let h = s - -0.27. Suppose 10 + 0 = -5*g. What is the second smallest value in 0.2, g, h? 0.2 Let i = -0.03 + -2.97. Let p = 2.1 - 1.7. Which is the smallest value? (a) i (b) -0.5 (c) p a Let t = 87.5 + -88. What is the third biggest value in -0.026, t, 0.1? t Let k = -0.22 + 0.72. What is the second biggest value in -1, k, -2/5? -2/5 Suppose 5*p - 15 = -2*r - 5, 0 = -5*r - 4*p - 9. Let k = -197 - -196. Which is the second biggest value? (a) k (b) 4 (c) r a Suppose o = 3*f + 10, 6 = 4*f - 6*f. Let n = -13 - -17. What is the smallest value in o, n, -0.4? -0.4 Let x = -0.1 - 0.9. Let v be (-1 - 0)*1 - -4. What is the second smallest value in v, x, -4? x Suppose 0 = 5*z, -5*z = 4*m - 7 + 23. Let b = -5/3 - -23/12. What is the third smallest value in 4, b, m? 4 Let j = 11 - 10. Suppose -s = -j - 1. Which is the second smallest value? (a) s (b) -3/7 (c) -0.2 c Let i be (2*(-9)/(-120))/((-12)/10). What is the second smallest value in i, -2, 1, 2/9? i Let x = -0.23 - -11.23. Let m = -11 + x. Which is the second smallest value? (a) -0.1 (b) -2/5 (c) m a Suppose 10*q = 8*q + 4. Let j be (q/(-3)*-1)/2. Which is the biggest value? (a) j (b) 1 (c) -0.2 b Let x = 0.8 + -0.5. Let j = -3 + 2.9. Let p = 1.1 + j. What is the biggest value in x, 2/11, p? p Let o be ((-12)/24)/((-2)/8). Let f = 3 - 2. Let i = f - 0.6. Which is the second smallest value? (a) i (b) 0.5 (c) o b Let h = 1.02 + -1.52. What is the biggest value in -1, h, 1/2? 1/2 Let z = 2.9 - -1.1. Which is the second biggest value? (a) z (b) -2/11 (c) -0.1 c Suppose 5*n = -3*p - 295, -n = -3*p - p + 59. Let g = -411/7 - n. Let z = 0 - 1. What is the second biggest value in -5, g, z? z Let d = 2 - 2.2. Let r = 9.9 + -1.6. Let b = 8 - r. What is the second biggest value in d, 1/2, b? d Let f = 1/15 - 2/5. Which is the second smallest value? (a) 1/5 (b) -1/5 (c) f b Let t = 9 - 13. Suppose 2 = 4*l - 14. Which is the third smallest value? (a) -2 (b) l (c) t b Let v(m) = -m**2 + m. Let f be v(-1). Which is the smallest value? (a) 0.2 (b) f (c) 0 b Let t be 2/(-4) - 2/4. Let k be (-1)/4 + -1 - t. What is the third smallest value in k, -2/3, -0.5? k Let s = -5.14 + 0.14. Let l = -4 - -4.1. What is the second smallest value in s, 2, l? l Let v = -6.7 + 12.7. What is the third biggest value in 1/5, 0, v? 0 Let z = -0.482 + 0.092. Let y = z - -0.09. Which is the second smallest value? (a) y (b) -5 (c) -4 c Let g = -195/2 + 96. Which is the second smallest value? (a) g (b) -1/4 (c) 2/3 b Suppose 5*o - 7 = 8. Let w = -35 + 37. Which is the third biggest value? (a) w (b) o (c) -4 c Let v(g) = 4*g**2 - 1 - 4*g**2 + g**2 + 5*g. Let t be v(-5). Which is the biggest value? (a) 1 (b) t (c) 3 c Let h(a) = -2*a**2. Let l be h(-1). Let b = -0.367 - 0.033. What is the biggest value in l, b, 0? 0 Let q = -6 - -5.6. Let z = -4.987 - 0.013. What is the second smallest value in z, q, 1/3? q Let x = 5 + -6. Let v = 0.4 - 0.1. Which is the biggest value? (a) v (b) 5 (c) x b Suppose 0*d = -4*d - 28. Let i = -19/4 + 17/4. Which is the third biggest value? (a) d (b) 0.1 (c) i a Let c = -3/16 - -67/272. Let u = 39/85 - c. What is the smallest value in 1/4, u, -4? -4 Let y = -72.01 - -72. Which is the fourth smallest value? (a) -0.4 (b) -1 (c) -0.5 (d) y d Let l be (1 - 3/3)/(-2). Which is the biggest value? (a) -3/5 (b) l (c) -0.3 b Let q = -0.02 - -0.09. Let u = -3.93 - q. Let i = 69/424 - 2/53. Which is the smallest value? (a) 5 (b) i (c) u c Let g(b) = 4*b**2 - 3*b**2 + b**2 + b + 3*b**3. Let m be g(-1). What is the third biggest value in 3, 0.4, m? m Let m = 0.3 - 0.2. Let i = m - -0.9. Suppose -12 + 2 = 2*w. Which is the third biggest value? (a) w (b) 3 (c) i a Let t = -0.1 + -0.1. Let z = 0.1 + t. Let n = 0 + z. Which is the second smallest value? (a) n (b) 5 (c) 0.4 c Let l = 28.08 - 28. Let b = 0.32 + l. What is the smallest value in -1, b, 3/8? -1 Let l = -60.3 + 60. What is the biggest value in -4, l, -1, 3? 3 Let y = -117/287 - -5/41. Let p = -27/28 - -5/7. What is the smallest value in y, 0, p? y Let m(d) = -d**2 + 9*d - 9. Let o be m(7). Let y = 2.182 - 0.182. Which is the smallest value? (a) y (b) o (c) -2/7 c Let y = 47 - 48. Which is the third smallest value? (a) 4 (b) y (c) -2/13 a Let w = -830/13 + 64. Let h = 567/5 - 113. Which is the third biggest value? (a) 0 (b) h (c) w a Let p = 0.2 - -0.1. Let s = 468.97 + -471. Let h = -0.03 - s. Which is the second biggest value? (a) h (b) p (c) -1/6 b Let t be -2 + (-5)/(-2) - 1. What is the third smallest value in 0.2, 5, 0.3, t? 0.3 Suppose -5*d - 22 = 4*y, 3*d - 5*y + 1 + 27 = 0. Let v be (5/20)/((-3)/d). Which is the second biggest value? (a) 0.3 (b) v (c) -0.5 a Let h = 1 - 2. Let q = 38.5 - 38. What is the biggest value in h, 0, q? q Let v = 1.1 - 0.1. Let u = v - 1.1. Which is the second smallest value? (a) u (b) -0.2 (c) 2/7 a Suppose 5*w = -w + 138. Let p be w/(-5) + (-6)/15. Let o be 2/(-30) - (-1)/(-3). Which is the second smallest value? (a) p (b) -0.2 (c) o c Let d be 2/(-4) - 3/(-25 - 5). What is the smallest value in -3, d, 6? -3 Let x(w) = w**2 - w - 1. Let s be x(-1). Let d = s + -5/3. Let q = -1/92 - -191/644. Which is the second smallest value? (a) q (
{ "pile_set_name": "DM Mathematics" }
855c685 In base 14, what is -70c9 + 3a? -708d In base 15, what is -4 + 191db98? 191db94 In base 7, what is -2001551 + -253? -2002134 In base 16, what is -289e - -10? -288e In base 3, what is 11122211210 - 100? 11122211110 In base 3, what is -1010 - 10021010211112? -10021010212122 In base 2, what is -10 - -111010100010100000111100001? 111010100010100000111011111 In base 7, what is 5 + 164203651? 164203656 In base 10, what is -4914822 + -29? -4914851 In base 15, what is 7 + 2e369d? 2e36a5 In base 3, what is -100201012 + -1011000011? -1111201100 In base 10, what is -5 - 1200365? -1200370 In base 7, what is -22564445 + 112? -22564333 In base 2, what is -111011101100001010 + 10011111? -111011101001101011 In base 7, what is -1 + 150550011? 150550010 In base 3, what is 12222111 - -12221120110? 20011112221 In base 13, what is -3 - 96092a5? -96092a8 In base 10, what is -47390346 + -1? -47390347 In base 2, what is 1 - -10010000100101110000001? 10010000100101110000010 In base 2, what is -1111100010001111101100011100 - 100? -1111100010001111101100100000 In base 11, what is -5 - -3787043? 3787039 In base 9, what is 27 - 3575276? -3575248 In base 10, what is -489 - 172549? -173038 In base 6, what is -1021 - -1413302? 1412241 In base 4, what is -21332 - 1211011210? -1211033202 In base 4, what is 13221 - -111102231? 111122112 In base 4, what is 21 - 303111333301? -303111333220 In base 12, what is -1b85558 - -31? -1b85527 In base 16, what is -8e1 + -1915? -21f6 In base 16, what is 3f1 + -263c? -224b In base 13, what is -5c + 847217? 847188 In base 3, what is -122122 + 1121012010? 1120112111 In base 6, what is -4 - -255522? 255514 In base 13, what is 2 + -a510168? -a510166 In base 7, what is -1052 + -2521021? -2522103 In base 3, what is 122 + -12121120112? -12121112220 In base 2, what is 11101001100110101 - 11010101001? 11100110010001100 In base 11, what is -25159 - 129? -25287 In base 2, what is -1 - -1011111111001110010? 1011111111001110001 In base 6, what is -315 + 452435? 452120 In base 13, what is -2a94c3 - -26a? -2a9256 In base 2, what is 111011001111100101000 - -101? 111011001111100101101 In base 14, what is 1551b14 + -18? 1551ada In base 16, what is 21e997 - 7? 21e990 In base 12, what is -1853 - 6510? -8163 In base 11, what is -3a5a775 + -2? -3a5a777 In base 16, what is 2c4 - -2db90? 2de54 In base 9, what is 473 + -45268? -44685 In base 10, what is -15097 + 17493? 2396 In base 12, what is 584263 + -32? 584231 In base 16, what is -f + -736cc1? -736cd0 In base 14, what is -425cb4 - -dd? -425bb5 In base 8, what is -16 + 30117406? 30117370 In base 14, what is -3 - -195a28? 195a25 In base 10, what is -83 - -73051? 72968 In base 3, what is 11 - 10122010122022211? -10122010122022200 In base 5, what is -1031 + 32342030? 32340444 In base 7, what is 112136 - -326? 112465 In base 13, what is 1653c + cc? 1663b In base 14, what is -4 + -508ad5? -508ad9 In base 8, what is 77543 - 7336? 70205 In base 6, what is 1 + -20144553? -20144552 In base 4, what is 10320202011 + -122? 10320201223 In base 13, what is b29228 + 5? b29230 In base 11, what is 3328a7 + 7? 332903 In base 9, what is 1655 + -34224? -32458 In base 6, what is 1445423353 - -4? 1445423401 In base 4, what is -3333133122 - -33? -3333133023 In base 2, what is -111110 + 100000110011110? 100000101100000 In base 7, what is 23 - 244233165? -244233142 In base 12, what is -17bb07 - 6? -17bb11 In base 15, what is be7 - -7973? 866a In base 11, what is -7a + 854856? 854787 In base 13, what is -5900678 - -5? -5900673 In base 6, what is -5204 - -120313? 111105 In base 11, what is 7069153 + 5? 7069158 In base 12, what is -69299437 + 3? -69299434 In base 15, what is -8127c + 9? -81273 In base 11, what is -48706 + 1081? -47635 In base 15, what is -108c + -1a27c? -1b319 In base 14, what is -3 - 540b56c? -540b571 In base 10, what is -317157 - -113? -317044 In base 9, what is -821256 + -840? -822206 In base 9, what is -213607 - -268? -213328 In base 6, what is -101 - 115002135? -115002240 In base 12, what is 34 - 225442? -22540a In base 14, what is 15 - -74683a4? 74683b9 In base 12, what is 3a9 + -18b790? -18b3a3 In base 10, what is -106 + -1397180? -1397286 In base 6, what is 14453 + 4204? 23101 In base 11, what is 894120 + -148? 893a83 In base 10, what is 444 - 12205? -11761 In base 7, what is 6411513650 + 5? 6411513655 In base 15, what is 3a6 + 9aea? 9ea1 In base 12, what is 14b - a1b5a? -a1a0b In base 10, what is -5 - 4984902? -4984907 In base 5, what is 13121 - -124044200? 124112321 In base 8, what is -2 - -3363055010? 3363055006 In base 16, what is 9b115 + -17a? 9af9b In base 13, what is 30cbb + -5b? 30c60 In base 3, what is 11210 + -200211012? -200122102 In base 8, what is 1511314244 + 4? 1511314250 In base 3, what is 1222201012 + 22102? 2000000121 In base 6, what is -32045 - 1451? -33540 In base 15, what is 20c147 + -b? 20c13b In base 16, what is -2e480f - 1? -2e4810 In base 4, what is 21332220031 - 10111? 21332203320 In base 3, what is -1221122001210011 - -22? -1221122001202212 In base 6, what is 254133 - 2442? 251251 In base 11, what is 135273 + -414? 13495a In base 12, what is 3 - 3533458? -3533455 In base 11, what is -1739 + 140? -15a9 In base 6, what is -32034432 - -13? -32034415 In base 4, what is -23 + -33000301131? -33000301220 In base 5, what is 333013 - -122023? 1010041 In base 3, what is 10010202221 + 1200? 10010211121 In base 8, what is -30 - -2504157? 2504127 In base 11, what is 465058 + 30? 465088 In base 5, what is -242 - -21114242? 21114000 In base 16, what is -36 - -38d8b3? 38d87d In base 12, what is 106252ba7 + 3? 106252baa In base 7, what is 24136636 + -1? 24136635 In base 8, what is -50645 + -271? -51136 In base 7, what is 122243 - -2326? 124602 In base 10, what is -158 + -49100? -49258 In base 2, what is 1001110100011011000011110001 + 101? 1001110100011011000011110110 In base 2, what is 10110000110001010100101 + 11? 10110000110001010101000 In base 13, what is 6 + -343701? -3436c8 In base 2, what is 10011 + 110111000011010100100011? 110111000011010100110110 In base 2, what is -1000011000101110 - 111110? -1000011001101100 In base 12, what is -3 - 132071? -132074 In base 8, what is -2452 + 41475? 37023 In base 2, what is 101001111110 - -11001000101? 1000011000011 In base 7, what is 100551 - -3640? 104521 In base 5, what is 3221112400 - 230? 3221112120 In base 4, what is 323320221233 + -111? 323320221122 In base 3, what is 1101020 + 1012010222? 1020112012 In base 16, what is -39db5 + 9d3? -393e2 In base 12, what is -922a - -1b9? -9031 In base 8, what is -345 + 5066066? 5065521 In base 11, what is -13a01 - 325aa? -46500 In base 4, what is 10130301103212 + 0? 10130301103212 In base 15, what is -4 - -1862d4? 1862d0 In base 8, what is -105620 + 4600? -101020 In base 12, what is 1b2a - 187a? 270 In base 5, what is 142410 + 144340? 342300 In base 14, what is -4 + -a436069? -a43606d In base 9, what is -65321 - 58? -65380 In base 7, what is 15121565 - 210? 15121355 In base 15, what is -33 - 35638? -3566b In base 11, what is -124395801 + 3? -1243957a9 In base 8, what is -31464 + 43442? 11756 In base 10, what is 184 - 712559? -712375 In base 12, what is -7b8a - -8714? 746 In base 8, what is -5172434 - 647? -5173303 In base 8, what is -6445051 - 5? -6445056 In base 7, what is -651 + -44413? -45364 In base 3, what is -100201012021101 - 1010? -100201012022111 In base 13, what is -ba13b + -c5? -ba233 In base 5, what is -43243 - 11434244? -12033042 In base 6, what is 452021 + -2024? 445553 In base 9, what is 35 + 1214887? 1215033 In base 5, what is -1102214 + 2043? -1100121 In base 14, what is -2bd3c92 + 33? -2bd3c5d In base 7, what is -5 - 230023316? -230023324 In base 11, what is 3 + -a16532? -a1652a In base 13, what is -23 + 202b633? 202b610 In base 6, what is -222 + -22032142? -22032404 In base 2, what is -101000101101110101111 + -1? -101000101101110110000 In base 5, what is -11122202122304 + 4? -11122202122300 In base 6, what is 4 - 412144300? -412144252 In base 13, what is 26cb2 + 19? 26ccb In base 2, what is -11100101011010010101001011100 + 11? -11100101011010010101001011001 In base 8, what is -1042766362 - 0? -1042766362 In base 3, what is 1010 - 1110111100210212? -1110111100202202 In base 11, what is -15
{ "pile_set_name": "DM Mathematics" }
69269 to the power of 1/10, to the nearest integer? 6 What is the square root of 215827282 to the nearest integer? 14691 What is the sixth root of 2128328752 to the nearest integer? 36 What is 123279884 to the power of 1/2, to the nearest integer? 11103 What is the square root of 1363980802 to the nearest integer? 36932 What is the third root of 3212428685 to the nearest integer? 1476 What is 368338351 to the power of 1/2, to the nearest integer? 19192 What is 115370294 to the power of 1/2, to the nearest integer? 10741 What is 33702217 to the power of 1/9, to the nearest integer? 7 What is the fourth root of 586185199 to the nearest integer? 156 What is 333937905 to the power of 1/5, to the nearest integer? 51 What is 23320215 to the power of 1/2, to the nearest integer? 4829 What is 135244398 to the power of 1/2, to the nearest integer? 11629 What is the square root of 467825920 to the nearest integer? 21629 What is the square root of 287963431 to the nearest integer? 16969 What is the ninth root of 20667016 to the nearest integer? 6 What is the fifth root of 21590811 to the nearest integer? 29 What is 40158997 to the power of 1/2, to the nearest integer? 6337 What is the eighth root of 4750406378 to the nearest integer? 16 What is 8657912 to the power of 1/4, to the nearest integer? 54 What is the third root of 50473678 to the nearest integer? 370 What is the sixth root of 6177668357 to the nearest integer? 43 What is 110812628 to the power of 1/2, to the nearest integer? 10527 What is 3573528151 to the power of 1/4, to the nearest integer? 244 What is the third root of 39662201 to the nearest integer? 341 What is the cube root of 3243317116 to the nearest integer? 1480 What is 61558760 to the power of 1/2, to the nearest integer? 7846 What is the third root of 884764499 to the nearest integer? 960 What is 22030136 to the power of 1/6, to the nearest integer? 17 What is the eighth root of 2765426866 to the nearest integer? 15 What is the fourth root of 432228752 to the nearest integer? 144 What is the square root of 46662385 to the nearest integer? 6831 What is 1792084113 to the power of 1/2, to the nearest integer? 42333 What is 64703007 to the power of 1/8, to the nearest integer? 9 What is the tenth root of 868920447 to the nearest integer? 8 What is the cube root of 196415890 to the nearest integer? 581 What is 642714714 to the power of 1/6, to the nearest integer? 29 What is the fifth root of 93951220 to the nearest integer? 39 What is the cube root of 113031623 to the nearest integer? 484 What is the cube root of 38278222 to the nearest integer? 337 What is the cube root of 1145297979 to the nearest integer? 1046 What is 407289157 to the power of 1/7, to the nearest integer? 17 What is the third root of 26994276 to the nearest integer? 300 What is the cube root of 863475885 to the nearest integer? 952 What is 78162667 to the power of 1/2, to the nearest integer? 8841 What is 115075189 to the power of 1/5, to the nearest integer? 41 What is 61017493 to the power of 1/3, to the nearest integer? 394 What is the eighth root of 48297822 to the nearest integer? 9 What is 5300231001 to the power of 1/2, to the nearest integer? 72803 What is 5924299 to the power of 1/6, to the nearest integer? 13 What is the sixth root of 50439157 to the nearest integer? 19 What is the ninth root of 1963569867 to the nearest integer? 11 What is the sixth root of 3311622664 to the nearest integer? 39 What is the square root of 220679455 to the nearest integer? 14855 What is the square root of 1495451867 to the nearest integer? 38671 What is the third root of 872279236 to the nearest integer? 955 What is the square root of 731049553 to the nearest integer? 27038 What is the sixth root of 57043808 to the nearest integer? 20 What is the square root of 215826104 to the nearest integer? 14691 What is the third root of 25102313 to the nearest integer? 293 What is 2450974230 to the power of 1/2, to the nearest integer? 49507 What is 56202983 to the power of 1/9, to the nearest integer? 7 What is the third root of 6837221 to the nearest integer? 190 What is the third root of 44535944 to the nearest integer? 354 What is the eighth root of 524034572 to the nearest integer? 12 What is the fifth root of 55969666 to the nearest integer? 35 What is the seventh root of 51117658 to the nearest integer? 13 What is 1349227062 to the power of 1/3, to the nearest integer? 1105 What is the square root of 121220647 to the nearest integer? 11010 What is the square root of 198082815 to the nearest integer? 14074 What is the square root of 3238450429 to the nearest integer? 56907 What is 4598520451 to the power of 1/8, to the nearest integer? 16 What is 1275306883 to the power of 1/10, to the nearest integer? 8 What is 2588537800 to the power of 1/2, to the nearest integer? 50878 What is the square root of 30847911 to the nearest integer? 5554 What is 29431087 to the power of 1/4, to the nearest integer? 74 What is the fifth root of 143380073 to the nearest integer? 43 What is 400583013 to the power of 1/3, to the nearest integer? 737 What is 44921256 to the power of 1/3, to the nearest integer? 355 What is 905863463 to the power of 1/10, to the nearest integer? 8 What is 29717339 to the power of 1/2, to the nearest integer? 5451 What is the square root of 321146985 to the nearest integer? 17921 What is the square root of 1570042335 to the nearest integer? 39624 What is the square root of 163865307 to the nearest integer? 12801 What is 28489598 to the power of 1/10, to the nearest integer? 6 What is the square root of 8104072 to the nearest integer? 2847 What is 47722838 to the power of 1/8, to the nearest integer? 9 What is 30872475 to the power of 1/9, to the nearest integer? 7 What is the square root of 7735757 to the nearest integer? 2781 What is 99080573 to the power of 1/2, to the nearest integer? 9954 What is 1244658943 to the power of 1/10, to the nearest integer? 8 What is 112515214 to the power of 1/3, to the nearest integer? 483 What is 2602757544 to the power of 1/8, to the nearest integer? 15 What is the square root of 6878352193 to the nearest integer? 82936 What is 105036218 to the power of 1/2, to the nearest integer? 10249 What is the square root of 67663491 to the nearest integer? 8226 What is 1695801677 to the power of 1/10, to the nearest integer? 8 What is 655474304 to the power of 1/2, to the nearest integer? 25602 What is the fourth root of 3021172507 to the nearest integer? 234 What is the ninth root of 231861527 to the nearest integer? 9 What is the seventh root of 433490719 to the nearest integer? 17 What is the third root of 114093200 to the nearest integer? 485 What is 2271962511 to the power of 1/10, to the nearest integer? 9 What is the cube root of 1368417351 to the nearest integer? 1110 What is the cube root of 45736061 to the nearest integer? 358 What is the square root of 19885241 to the nearest integer? 4459 What is the ninth root of 81283488 to the nearest integer? 8 What is the third root of 724996977 to the nearest integer? 898 What is 4113553053 to the power of 1/2, to the nearest integer? 64137 What is the fourth root of 234314065 to the nearest integer? 124 What is the third root of 401967327 to the nearest integer? 738 What is the fourth root of 509607381 to the nearest integer? 150 What is the fifth root of 212663580 to the nearest integer? 46 What is the tenth root of 9642894 to the nearest integer? 5 What is 2146493158 to the power of 1/6, to the nearest integer? 36 What is the eighth root of 241881607 to the nearest integer? 11 What is the cube root of 2664131468 to the nearest integer? 1386 What is 1911668882 to the power of 1/2, to the nearest integer? 43723 What is the square root of 1953406424 to the nearest integer? 44197 What is 246465866 to the power of 1/10, to the nearest integer? 7 What is 1801293289 to the power of 1/2, to the nearest integer? 42442 What is 73932261 to the power of 1/2, to the nearest integer? 8598 What is 42049609 to the power of 1/3, to the nearest integer? 348 What is the sixth root of 237252128 to the nearest integer? 25 What is 173379419 to the power of 1/7, to the nearest integer? 15 What is 14129402
{ "pile_set_name": "DM Mathematics" }
ive of 74152*p**4 - 145089 wrt p? 296608*p**3 Find the third derivative of -3*b**3*i**3*k**2 - 1010*b**3*i*k**3 + 10*b**2*i + b*i**2*k**3 + 974*i**3 wrt b. -18*i**3*k**2 - 6060*i*k**3 Find the first derivative of i**3 - 16414*i + 257845. 3*i**2 - 16414 Find the second derivative of 18*d*i*o**4 - 2*d*i*o + d*o - 330*i*o - 39*i - 2884*o**4 wrt o. 216*d*i*o**2 - 34608*o**2 Find the third derivative of -7*g**5 + 58*g**4 - 24*g**3 - 8*g**2 - 5*g + 1499 wrt g. -420*g**2 + 1392*g - 144 What is the second derivative of -33*c*o**5 - 73*c*o**4 + 2661*c - o wrt o? -660*c*o**3 - 876*c*o**2 Find the second derivative of -1030*o**3 + 928*o**2 - 3293*o - 56 wrt o. -6180*o + 1856 Find the third derivative of 4*u**5 + 3*u**4 - 654*u**3 - 2*u**2 - 68*u + 187 wrt u. 240*u**2 + 72*u - 3924 Find the second derivative of 5534*l**4*q - 8*l**2*q - 35384*l - q wrt l. 66408*l**2*q - 16*q What is the derivative of 12*s**2*y - 4*s**2 + 6919*s*y**2 + 6*s - 1936 wrt y? 12*s**2 + 13838*s*y What is the first derivative of -936*i**4*z + 9*i*z**2 + 38*z**2 + z - 1 wrt i? -3744*i**3*z + 9*z**2 What is the third derivative of 24*f**4 - 340*f**3 - 33654*f**2 wrt f? 576*f - 2040 Find the second derivative of 8*c**3*v**2 + 3601*c**3 - 1763*c**2*v**2 + 14*c*v wrt v. 16*c**3 - 3526*c**2 What is the second derivative of 374579*p**5 + 10*p - 18763? 7491580*p**3 What is the first derivative of 1633680*g**2*w - 2*g*w**2 - w**2 + 2221*w + 76 wrt g? 3267360*g*w - 2*w**2 Find the third derivative of 56029*i**4 + 3918*i**2 + 5 wrt i. 1344696*i Find the second derivative of 41562*r**4 - r**2 - r + 8579 wrt r. 498744*r**2 - 2 What is the first derivative of -i*m - 57642*i - 57368*m wrt m? -i - 57368 Differentiate -85680*p**2 - 63768. -171360*p Find the second derivative of 13*l**5 - 3*l**4 + 2366*l**3 + l + 1686 wrt l. 260*l**3 - 36*l**2 + 14196*l What is the first derivative of 5*l**3 - l*r + 1135*l - 313*r + 2486 wrt l? 15*l**2 - r + 1135 Find the second derivative of 39384*x**3 + x**2 + 78277*x. 236304*x + 2 Find the first derivative of -f*k - 16015*f - 32*k + 1411 wrt f. -k - 16015 Find the first derivative of -2034580*j**2 - 207931. -4069160*j Find the first derivative of 149*i*s**2 + 324312*i - 331*s**3 + 3*s wrt s. 298*i*s - 993*s**2 + 3 What is the second derivative of -5140*h**4 + 2*h**3 + 3*h**2 + 79*h + 136 wrt h? -61680*h**2 + 12*h + 6 What is the third derivative of -23711*d**3 + 4*d**2 + 4360*d? -142266 Differentiate -62604*k**4 + 483531 with respect to k. -250416*k**3 Differentiate -95*g**2 - 1496*g - 5043012 wrt g. -190*g - 1496 What is the second derivative of -10*v**5 + 477*v**4 - 41*v - 71 wrt v? -200*v**3 + 5724*v**2 What is the second derivative of 38076*t**3 + t - 38470? 228456*t What is the derivative of 199068*m*v**2 + 525*m + 3*v**2 - 2*v + 157 wrt v? 398136*m*v + 6*v - 2 Find the second derivative of 415939*b**2*n**2 + 12*b*n**2 + 223*b wrt b. 831878*n**2 What is the first derivative of 2115586*x + 125706 wrt x? 2115586 Find the third derivative of -43426*w**3 + 23402*w**2 - 2*w wrt w. -260556 What is the third derivative of 2362379*d**3 + 722350*d**2? 14174274 Find the third derivative of 3703934*l**3 - 963*l**2 - 200 wrt l. 22223604 Find the second derivative of 4*c**5*j - 4004*c**3*j**3 - 30*c*j**3 + 45*c*j**2 + 2*c*j wrt c. 80*c**3*j - 24024*c*j**3 What is the derivative of 1764*w**3 + 3*w**2*x + 3*w + 40419*x wrt w? 5292*w**2 + 6*w*x + 3 What is the second derivative of -597*f**5 + 21*f**4 + 14*f**2 - 159847*f? -11940*f**3 + 252*f**2 + 28 Differentiate -34993*z - 78879 wrt z. -34993 Find the third derivative of 522*a**4*m**2 + 2*a**4 + 12*a**3*m**2 - a**2*m**2 + a**2 + 4393 wrt a. 12528*a*m**2 + 48*a + 72*m**2 What is the second derivative of -1954333*d**5 + 456792*d + 3 wrt d? -39086660*d**3 Find the third derivative of 2136*q**6 - 3*q**5 + q**4 - q**2 - 8*q + 4767. 256320*q**3 - 180*q**2 + 24*q Differentiate -2407199*a*f**2 + 2244*f**2 + 85*f with respect to a. -2407199*f**2 What is the third derivative of -23*c**6 + 37*c**5 - 3*c**3 + c**2 + 3*c - 180? -2760*c**3 + 2220*c**2 - 18 Find the second derivative of 94*c**3 - 52*c**2*z + 3*c**2 - 759*c*z - 2 wrt c. 564*c - 104*z + 6 What is the third derivative of -333*f**4 - 782*f**3 - 258357*f**2 - 2*f? -7992*f - 4692 Differentiate -26576*r - 36204. -26576 Find the second derivative of 2*o**4 - 53*o**3 - 295*o**2 + 2727474*o + 2 wrt o. 24*o**2 - 318*o - 590 Find the third derivative of -w**5 - 697*w**4 + 2*w**3 + w**2 - 28831*w wrt w. -60*w**2 - 16728*w + 12 What is the derivative of -2*n*x**3 - 7*n*x**2 + 42778*n*x - 11*x**3 - 42298*x wrt n? -2*x**3 - 7*x**2 + 42778*x What is the first derivative of 12648*l*w**2 + 130*l - 7*w - 290 wrt w? 25296*l*w - 7 What is the derivative of 22*d**2*i**3 + d**2 + 18318*d*i**4 + 447*d + 62 wrt i? 66*d**2*i**2 + 73272*d*i**3 What is the first derivative of -107*v**4 - 25*v**2 + 42*v + 1047434 wrt v? -428*v**3 - 50*v + 42 What is the derivative of 25944*d**3 - 15384? 77832*d**2 Find the first derivative of -82*d*w**3 + 2245*d*w - d - 344186 wrt w. -246*d*w**2 + 2245*d Differentiate 102940*a**4 + 37813. 411760*a**3 Find the third derivative of -26152*x**6 - 9664*x**2 + 4. -3138240*x**3 Find the second derivative of 2*y**4 + 21*y**3 + 67*y**2 + 1365321*y wrt y. 24*y**2 + 126*y + 134 What is the second derivative of 703*u**3 - 18*u**2 + 232952*u? 4218*u - 36 What is the second derivative of 134*o**3*p - 1407*o**2*p**2 + 2*o*p**2 - 5*o*p + 5*o - 626*p**2 + 2 wrt o? 804*o*p - 2814*p**2 What is the derivative of -29*d**2*o**2 + 12*d**2 + 59*d*o**3 + 4045*o**3 + o**2 + 37*o + 2 wrt d? -58*d*o**2 + 24*d + 59*o**3 Find the third derivative of 35894*i**3 - 7479*i**2 + 3 wrt i. 215364 Find the second derivative of 12*q**5 - 831*q**3 + 18452*q. 240*q**3 - 4986*q What is the derivative of 66454*r**3 - 10089? 199362*r**2 What is the second derivative of 5*v**5 - 3310*v**2 - 37508*v? 100*v**3 - 6620 Find the third derivative of 2*q**4 + 2483*q**3 + 4083*q**2 wrt q. 48*q + 14898 What is the second derivative of 170*y**5 - 27*y**4 + 5*y**2 - 83435*y? 3400*y**3 - 324*y**2 + 10 What is the third derivative of -d*q**6 - 78*d*q**4 + 132*d*q**3 - 1559*d*q**2 - d*q - d - q wrt q? -120*d*q**3 - 1872*d*q + 792*d What is the second derivative of -61411*v**2 + 548*v - 18 wrt v? -122822 Find the second derivative of -166*j**3*p**4 + 3361*j**3*p + 127*j**3 - 4424*j*p**4 wrt p. -1992*j**3*p**2 - 53088*j*p**2 What is the first derivative of -227946*l**3*s - 37929*l**3*y + 6*l**2*s*y + 2*s*y wrt y? -37929*l**3 + 6*l**2*s + 2*s What is the second derivative of 24888*i**3*v**2 + 2*i**3 + i**2*v + 19*i**2 + 85 wrt v? 49776*i**3 Find the third derivative of -4*m**5 + 1029*m**4 + 7*m**3 + m**2 + 44983. -240*m**2 + 24696*m + 42 Differentiate 2*b*g*t**2 - 14*b*g*t + 1201*b*g + b*t**2 + 7021*t**2 with respect to g. 2*b*t**2 - 14*b*t + 1201*b Find the first derivative of -251912*y - 26441 wrt y. -251912 What is the second derivative of 2*p**3 - 19756*p**2 - 15462*p - 2 wrt p? 12*p - 39512 Differentiate 272*a**2 + 57*a - 826270. 544*a + 57 What is the second derivative of -k*w**3 - 10*k*w**2 + 317*k*w - 2*k - 2*w**3 - 183*w**2 + 2*w - 626 wrt w? -6*k*w - 20*k - 12*w - 366 Differentiate 16*q**4 - 227*q**2 + 1003 wrt q. 64*q**3 - 454*q Find the second derivative of -880*c*m**3 + 5*c*m + 99*c - 2*m**5 - 9*m wrt m. -5280*c*m - 40*m**3 Find the second derivative of -2004*d*g**2*m - d*g**2 + 33*d*g*m + d - 2*g**2*m - g**2 + 22*g*m - 3*g wrt g. -4008*d*m - 2*d - 4*m - 2 What is the derivative of x**3*y + x**3 - 8*x**2*y + 32818*x**2 + 174*x*y - 15*y - 1 wrt y? x**3 - 8*x**2 + 174*x - 15 Differentiate 4102602*j*t**3 + j*t - 974922*t**3 with respect to j. 4102602*t**3 + t Find the second derivative of -135848*g**3*z**2 + 8217*g**3*z + 2*g**2*z wrt z. -271696*g**3 Differentiate -4*b**4 - 14392*b**3 + b + 185821 with respect to b. -16*b**3 - 43176*b**2 + 1 What is the third derivative of 12434*p**4 + p**3*r - 60*p**2*r + 14198*p**2 wrt p? 298416*p + 6*r Find the first derivative of 81*a*h**2*x + 1412*a*h*x*y - 2*a*x*y + 4*a*x - 3*a + 40*x*y + x - 16*y wrt h. 162*a*h*x + 1412*a*x*y Find the second derivative of -68769*k**2 + 50164*k. -137538 Find the third derivative of a**3*b*u - 3*a**3*b - 591*a**3*u + 16*a**2*b - 304*a*b*u +
{ "pile_set_name": "DM Mathematics" }
t and give t. 0 Rearrange 11*g**3 - 14*g**3 - g + 0*g**3 + 2*g**4 + 835*g**2 + 5*g**3 + 1 + 0*g**3 to the form n*g**4 + b*g + d + a*g**3 + q*g**2 and give b. -1 Express -4869 - 4561*z**2 + 2430 + 2439 in the form k*z + b*z**2 + l and give b. -4561 Express -11*i - 11 + 29*i + 36*i + 43*i - 25*i as l + n*i and give l. -11 Rearrange (29*g - 9*g + 33*g)*(148 - 310 - 20*g**2 + 155) + (3*g**2 - g**2 - 4*g**2)*(-2 + 2 + 3*g) to the form k*g + c + l*g**2 + t*g**3 and give k. -371 Express 31*n**2 - 11*n**2 + 19*n**2 + (-1886 - 125*n + 1886)*(-4*n + 5*n - 2*n) as r + b*n + g*n**2 and give g. 164 Express -1569*t + 0 + 18*t - 3098*t + 0 in the form i*t + u and give i. -4649 Rearrange 3666 + 3677 + 79*q**3 + 3*q - 7343 to the form v + u*q + h*q**2 + a*q**3 and give a. 79 Express -35 + 157*r - 71 - 159*r - 8*r**2 + 0*r**2 in the form f*r + a*r**2 + s and give f. -2 Rearrange -h**2 - 37*h**4 + 403*h**3 - 398*h**3 + 6*h**2 - 2 + 31*h**4 to the form i*h**3 + m*h**4 + v*h + l + w*h**2 and give m. -6 Rearrange (3529 - 1998 + 721)*(-g**3 + 0*g + 0*g) to o*g + x + l*g**2 + a*g**3 and give a. -2252 Express -1823 + 30*j**3 - 1823 - 3*j**2 + 3644 in the form k*j**2 + s*j**3 + v + z*j and give s. 30 Express -4*y - 265*y - 119*y - 109*y - 4 + 4 + y + (0 - 2 + 0)*(-6*y + 3*y + 4*y) - 3 + 2*y + 3 + 0*y + y - 3*y in the form p + j*y and give j. -498 Rearrange (-11 + 0 + 1)*(-3*r - 3*r + 5*r) - 2175*r + 2295*r - 1241*r to the form v + q*r and give q. -1111 Rearrange x + x + 0*x + (-2 + 2 - 2)*(20125 - 20125 - 1481*x) to the form g*x + o and give g. 2964 Express -8*k**3 + 3555*k + 3557*k + 172*k**2 - 7112*k + 116*k**2 in the form i + g*k + d*k**2 + t*k**3 and give d. 288 Rearrange (4 + 1 + 10)*(-24 + 12 - 12)*(-5 - 2*m + 4 - 1) to the form o + z*m and give z. 720 Rearrange -13*k**3 + 3*k**4 + 88*k - 4*k**4 - 23*k - 12*k to s*k**3 + a + r*k + y*k**4 + g*k**2 and give s. -13 Express q - 3*q + q + q - 4*q + 2*q + (1 - 5 + 2)*(-6*q + 4*q + 0*q) - 2309*q - 2141*q - 43522*q - q - q + q in the form k*q + m and give k. -47971 Express (-1 + x + 1 + (-5*x - x + 2*x)*(2 + 2 - 5) + x - x - 2*x)*(4*x**2 - 5*x**2 + 2*x**2) - 106 + 106 - 20*x**3 as r*x**2 + z*x + s*x**3 + c and give z. 0 Rearrange -14*t**2 + 12*t - 40*t + 25*t - 4*t**3 + 4*t + 1 to the form a*t + j*t**2 + p*t**3 + l and give p. -4 Rearrange (1 - 28 + 0)*(-2 + 2*t + 2)*(3 + 3 - 7)*(-40*t - 122 + 122) to the form f*t**2 + b*t + s and give f. -2160 Rearrange 723*m + 2055*m + 1378*m - 509*m to the form x + p*m and give p. 3647 Rearrange (-6642 - 7836 + 12345)*(4*a**4 + 0*a**4 - 2*a**4) - a**4 + 3*a**2 - 3*a**2 to the form h*a**3 + u*a**2 + r + n*a**4 + d*a and give n. -4267 Rearrange -36*g - 2270*g - 1 + 389*g to the form r + q*g and give r. -1 Rearrange -195623*s + 195635*s + 3*s**3 - 12*s**2 - s**2 to the form d*s**2 + h*s + g*s**3 + f and give d. -13 Express (-17 - 6*g + 3*g + 4*g + (-1 + 1 - 3*g)*(5 + 5 + 5))*(-5 + 2 + 4) in the form y + u*g and give y. -17 Rearrange (-4*f + 0*f + f)*(-211 + 2*f + 247 + 134)*(8*f + 0*f - 2*f) to the form s*f**3 + n*f**2 + v*f + w and give n. -3060 Express (-110*m - 61*m**2 + 110*m)*(124*m + 495*m + 87*m) as h*m**3 + z + w*m + x*m**2 and give h. -43066 Rearrange 5*u**4 - 3*u + 3*u + (2*u**4 - 3*u**4 + 2*u**4)*(4 - 5 + 3) + 258*u**4 + 1059*u**4 + 356*u**4 to v*u**2 + f*u + m*u**4 + i + c*u**3 and give m. 1680 Express 300*a + 8 - 762*a - 561*a + (-3*a + 5*a + 0*a)*(0 + 2 - 1) as o*a + f and give o. -1021 Express -49*c**3 - 595*c**3 + 1110*c**3 + (-1 + 3 - 3)*(0*c**2 + 6*c**2 + 0*c**2)*(0*c - 4*c + 3*c) as d*c**3 + m*c**2 + u*c + o and give d. 472 Express 1451 + 1454 + 1451 - 2*a**3 + 27*a - 4350 in the form w*a**3 + f*a**2 + k + x*a and give x. 27 Express 349978*m**2 - 3*m + 4*m - 349977*m**2 - 101 as u + d*m + o*m**2 and give d. 1 Rearrange (138 - 101 + 235 + 74)*(-1 - 5 + 4)*(-27 + 27 - 10*p) to the form u*p + h and give h. 0 Rearrange (9*k - 5405 + 10805 - 5405)*(3 - 3 - k) to o*k**2 + d*k + q and give d. 5 Rearrange -3 + 89682*f**3 - 34 - 89684*f**3 + 5*f**2 to q + z*f**3 + i*f + g*f**2 and give q. -37 Rearrange -64 - 276 + 5802*h - 5806*h + 29 to y*h + a and give a. -311 Express -74*h**2 + 109*h**2 - 36*h**2 + 258*h + (3 + 3 - 3)*(-5*h**2 + 2*h**2 + 2*h**2) in the form r*h**2 + c*h + s and give c. 258 Express 3*q**2 - 13*q**2 + 7*q - 3 + 5*q**2 + 4*q**2 + 4*q**2 as w + t*q + m*q**2 and give m. 3 Rearrange -9*i**2 + 9*i**2 + i**4 + (-2*i - 3 + 3)*(25*i**3 + 57*i**3 - 32*i**3) to the form j*i**3 + l*i**2 + c*i + a + h*i**4 and give h. -99 Rearrange y**4 - 13*y**4 - 22*y**2 - 4*y**2 + 0*y**2 + (0*y + 3*y - y)*(3*y**3 - 3*y**3 + 2*y**3) to s*y**4 + p*y**3 + v*y**2 + d + z*y and give s. -8 Express o - o**3 - 1371*o**4 - 2 + 2 - o**2 + 1372*o**4 + 2*o**2 - 2 as m + l*o + s*o**4 + y*o**2 + v*o**3 and give l. 1 Express 21 + 7 + 2479*y - 41 + 2393*y + 11 in the form q*y + w and give w. -2 Rearrange (-10 + 4 + 37)*(1 + 0 + 1)*(o**3 + 508058 - 508058 + 133*o**2 + 2*o**4) to the form f*o**4 + y*o**2 + c*o**3 + b*o + s and give c. 62 Rearrange -22*l**3 + 169*l**3 + 19*l**3 + (-14*l**2 + 3*l**2 - 9*l**2)*(-l + l + 2*l) to the form y*l**2 + b + r*l + u*l**3 and give u. 126 Express (-d + 4 - 4)*(-5 + 4 + 8)*(77 + 278 - 611) in the form s*d + v and give s. 1792 Rearrange -2*d**2 + 40*d - d**4 + 35*d - 56*d**3 - 74*d + 3*d**4 - 47*d**3 to the form b*d**3 + s*d**2 + k + v*d + u*d**4 and give u. 2 Rearrange (-8 + 0 + 2)*(k + 5*k - 4*k + (2 + 1 - 4)*(-1 + k + 1) - 97*k - 51*k - 101*k) to the form x*k + f and give x. 1488 Express 1 - 1 + y + (0 + 0 + y)*(4115 - 60861 + 10224)*(7 - 2 - 3) in the form n + u*y and give n. 0 Rearrange (5668 - 736*f**3 - 5668 + 30*f**3)*(-35*f + 5*f - 11*f) to y + u*f**2 + m*f + c*f**3 + z*f**4 and give z. 28946 Express -343*v + 2879*v + 2102*v as b + a*v and give a. 4638 Rearrange (4*p + 48*p**3 + 2*p - 41*p**3)*(-9933 + 5*p - 2*p + 9883) to the form o*p**3 + i + j*p**4 + a*p**2 + y*p and give y. -300 Rearrange -1488*z - 1502*z + 102*z + 302*z - 927*z to the form j + t*z and give t. -3513 Express -4*f**4 + 188*f - 3*f**4 + 3 - 193*f in the form a*f**2 + v*f + n*f**4 + y*f**3 + k and give n. -7 Express 15 - 88*q + 90*q + 5*q**2 + 15*q**4 - 5*q**2 in the form a + w*q**3 + c*q**4 + j*q + k*q**2 and give w. 0 Express 911*w - 308*w + 1028*w + 1 - 4 - 10*w as a*w + l and give l. -3 Express (-5*l + 2*l + l)*(-1 - 1 + 0)*(-2*l + 0*l + 3*l)*(-781*l + 3750 - 3750) as n + y*l**2 + x*l + q*l**3 and give q. -3124 Express 1021*v + 556*v + 1624*v + 595*v in the form l*v + b and give l. 3796 Rearrange (-718*z - 545 + 718*z + 3*z**2)*(-z + 40 - 40) to the form r*z + q + l*z**3 + y*z**2 and give r. 545 Rearrange (-8*g + 8*g + 8*g)*(-4052 - 3830 + 1330 + 774) to q + s*g and give s. -46224 Rearrange 5164*i + 3913*i - 5359*i + 5862*i to q*i + s and give q. 9580 Rearrange -4321*t**2 - 4317*t**2 + 12967*t**2 + 21*t**3 + 2 - 119*t - 4327*t**2 to the form q*t**2 + z*t**3 + s + y*t and give z. 21 Rearrange (-109 + 191 - 183)*(51 - 51 + g) + g + 3*g - 6*g to the form p*g + m and give p. -103 Express 9*x**3 - 24*x**3 - 2*x + 3*x**3 - 1 + 6*x**3 - 25*x**2 in the form k*x**2 + c*x + t*x**3 + h and give k. -25 Rearrange (-310*g**2 - 22*g**2 + 166*g**2)*(-42*g - 12 + 12)*(0*g + 5*g - 3*g) to the form n*g**2 + x*g**3 + h + t*g + m*g**4 and give m. 13944 Rearrange (-3*o**2 + 14 - 14)*(2*o + 5*o - 5*o)*(152*o - 100*o - 100*o) to w*o**3 + n*o**4 + x + d*o**2 + i*o and give n. 288 Rearrange -2227 + 38*s**2 + 2227 + 27*s**2 - 62*s**2 - 2903*s to z*s + v*s**2 + d and give v. 3 Express -9*o**2 + 756*o**3 - 1514*o**3 - 32 + 757*o**3 in the form b*o**3 + c + y*o**2 + i*o and give c. -32 Express -20*c**2 - 65*c**2 + 241 - 2422*c**4 - 2*c - 2*c**3 + 2420*c**4 - 243 as r*c**2 + p*c**3 + f + j*c**4 + s*c and give j. -2 Rearrange (1 - 1 - 1)*(5305*u + 7735*u + 134*u - 1087*u + 2728*u) to the form g + j*u and give j. -14815 Rearrange (-2 + 2 - 1)*(-10*a**2 + 10*a**2 - a**3) + 5 + 2*a**3 - 5 - 4*a - 285*a**3 + 101 - 109 + 305*a**3 to the form g + h*a**3 + l*a**2 + r*a and give g. -8 Express (20 - 27 + 234*q + 7)*(-2 + 1 - 2 + (-4 + 1 + 5)*(7 - 3 - 3) + 1 - 6 + 0) in the form d*q + b and give d. -1404 Express (0*r - 8*r + r)*(-470 - 314 + 47) + 2*r + 4*r - 3*r as o + v*r and give v. 5162 Express ((0*x + x - 2*x)*(1 - 2 +
{ "pile_set_name": "DM Mathematics" }
ut replacement from {n: 12, r: 3, j: 3}. 1/1020 What is prob of sequence bnbn when four letters picked without replacement from bnnbbbbnbbb? 7/165 Calculate prob of sequence eeog when four letters picked without replacement from {h: 4, e: 2, o: 2, i: 4, g: 1, w: 1}. 1/6006 Four letters picked without replacement from vfvtoootom. Give prob of sequence omvo. 1/210 Two letters picked without replacement from ikiiikkkikii. What is prob of sequence ki? 35/132 Three letters picked without replacement from rrrrrr. What is prob of sequence rrr? 1 Three letters picked without replacement from {q: 4, d: 2, k: 2, h: 1}. What is prob of sequence kqq? 1/21 What is prob of sequence kk when two letters picked without replacement from {y: 1, c: 5, k: 6, z: 1, x: 2}? 1/7 Three letters picked without replacement from {y: 4, e: 1, k: 10, n: 5}. What is prob of sequence kkn? 5/76 What is prob of sequence io when two letters picked without replacement from bobbboobbbioiob? 1/21 Two letters picked without replacement from {v: 11, b: 2}. What is prob of sequence vv? 55/78 Three letters picked without replacement from uuvv. What is prob of sequence vuu? 1/6 What is prob of sequence diwd when four letters picked without replacement from {i: 6, d: 9, w: 2}? 9/595 Calculate prob of sequence kj when two letters picked without replacement from lujpkslk. 1/28 What is prob of sequence jyf when three letters picked without replacement from {u: 1, t: 6, y: 2, j: 6, f: 1, b: 2}? 1/408 What is prob of sequence iin when three letters picked without replacement from {n: 11, i: 3}? 11/364 Three letters picked without replacement from fuhxcuu. Give prob of sequence chx. 1/210 Two letters picked without replacement from {i: 2, n: 2, c: 1, m: 2, s: 1, f: 4}. What is prob of sequence if? 2/33 Three letters picked without replacement from {a: 1, e: 6, l: 1, d: 1}. Give prob of sequence lad. 1/504 Two letters picked without replacement from {j: 1, s: 2, c: 1, b: 2}. What is prob of sequence sb? 2/15 Three letters picked without replacement from jjjjjjtjt. Give prob of sequence tjt. 1/36 Four letters picked without replacement from {k: 4, x: 3, b: 1}. What is prob of sequence xxkk? 3/70 Three letters picked without replacement from llls. Give prob of sequence lls. 1/4 What is prob of sequence nrg when three letters picked without replacement from {g: 2, n: 10, r: 2, v: 3, u: 3}? 1/171 Four letters picked without replacement from laxcjltajljcxax. Give prob of sequence jtlj. 1/1820 Calculate prob of sequence pyt when three letters picked without replacement from {p: 3, t: 3, m: 1, y: 1, d: 2, b: 2}. 3/440 Four letters picked without replacement from {i: 2, l: 2, s: 11}. Give prob of sequence slss. 11/182 Two letters picked without replacement from vvvddvvvvv. What is prob of sequence vd? 8/45 Three letters picked without replacement from zzzzzzzzzz. Give prob of sequence zzz. 1 Three letters picked without replacement from {u: 4, m: 1, o: 1, v: 1, w: 1}. Give prob of sequence vou. 1/84 What is prob of sequence gq when two letters picked without replacement from {g: 3, b: 2, r: 5, q: 3}? 3/52 Two letters picked without replacement from iffiffi. What is prob of sequence ii? 1/7 Calculate prob of sequence kkz when three letters picked without replacement from {z: 1, k: 3}. 1/4 Two letters picked without replacement from {y: 2, s: 7, x: 1}. What is prob of sequence xy? 1/45 Calculate prob of sequence dj when two letters picked without replacement from {w: 1, j: 1, d: 1, s: 1, p: 1}. 1/20 What is prob of sequence aiix when four letters picked without replacement from {t: 1, a: 3, x: 2, i: 7, b: 1}? 3/286 Two letters picked without replacement from dkdokodokdaodda. What is prob of sequence da? 2/35 Three letters picked without replacement from {h: 1, y: 2, e: 1, m: 1, r: 1, q: 1}. What is prob of sequence erq? 1/210 Two letters picked without replacement from {k: 3, l: 4, e: 3, x: 3}. Give prob of sequence ek. 3/52 Three letters picked without replacement from {z: 10}. Give prob of sequence zzz. 1 What is prob of sequence iobb when four letters picked without replacement from bkkbhboiibhobik? 1/273 Calculate prob of sequence jd when two letters picked without replacement from rbhrjdd. 1/21 Calculate prob of sequence kb when two letters picked without replacement from kkkbkkbkkk. 8/45 Two letters picked without replacement from nppppnppnpnnpnpnnn. Give prob of sequence pp. 4/17 What is prob of sequence qmm when three letters picked without replacement from {p: 2, m: 8, q: 8}? 14/153 Three letters picked without replacement from lhowlzeo. Give prob of sequence zoe. 1/168 Two letters picked without replacement from {p: 2, t: 2, n: 1}. Give prob of sequence pt. 1/5 What is prob of sequence ba when two letters picked without replacement from {w: 3, e: 2, a: 1, d: 1, b: 1, o: 3}? 1/110 Four letters picked without replacement from xdddoxxod. What is prob of sequence xdoo? 1/126 Two letters picked without replacement from {v: 1, l: 8, z: 8, u: 1}. Give prob of sequence zv. 4/153 Two letters picked without replacement from {m: 2, f: 3, q: 1, k: 1, a: 1, l: 12}. What is prob of sequence qa? 1/380 Two letters picked without replacement from {g: 5, h: 1, m: 1, t: 1, x: 3}. What is prob of sequence mx? 3/110 What is prob of sequence pup when three letters picked without replacement from {u: 7, p: 2, k: 3}? 7/660 What is prob of sequence hi when two letters picked without replacement from hchlhhtlhhcilc? 3/91 Calculate prob of sequence vb when two letters picked without replacement from {b: 4, v: 10}. 20/91 Calculate prob of sequence oowe when four letters picked without replacement from {w: 4, e: 2, o: 1}. 0 Calculate prob of sequence thc when three letters picked without replacement from {t: 1, h: 3, c: 7, p: 1}. 7/440 Calculate prob of sequence yau when three letters picked without replacement from {m: 4, u: 1, x: 4, y: 3, o: 1, a: 2}. 1/455 Three letters picked without replacement from ttbbztebbttzeeeebtt. Give prob of sequence tbt. 35/969 Two letters picked without replacement from {i: 2, f: 1}. What is prob of sequence if? 1/3 Four letters picked without replacement from bdbbbbbbbbmbmb. What is prob of sequence mmdb? 1/1092 Calculate prob of sequence fg when two letters picked without replacement from kzzffgzzztzff. 1/39 What is prob of sequence uyep when four letters picked without replacement from pqqqyemeeqyuqqyqym? 1/6120 Calculate prob of sequence qo when two letters picked without replacement from {q: 3, b: 2, h: 2, k: 1, a: 7, o: 5}. 3/76 Two letters picked without replacement from wppjpijwjwpjlwjw. Give prob of sequence pl. 1/60 Three letters picked without replacement from ottoot. What is prob of sequence oto? 3/20 Two letters picked without replacement from {n: 4, q: 1, j: 1, f: 2}. Give prob of sequence jq. 1/56 Calculate prob of sequence lle when three letters picked without replacement from {l: 3, e: 5}. 5/56 What is prob of sequence xbx when three letters picked without replacement from {x: 13, b: 2, t: 3}? 13/204 Two letters picked without replacement from {k: 2, n: 2, s: 2, l: 2}. Give prob of sequence ns. 1/14 What is prob of sequence nd when two letters picked without replacement from dnddddddnddd? 5/33 What is prob of sequence uun when three letters picked without replacement from {d: 7, u: 6, n: 2}? 2/91 Three letters picked without replacement from jyjjjyyyyyy. Give prob of sequence yjj. 14/165 Three letters picked without replacement from ette. Give prob of sequence tee. 1/6 Calculate prob of sequence og when two letters picked without replacement from {l: 1, g: 1, p: 4, o: 1, t: 2}. 1/72 Three letters picked without replacement from tlbmhbhm. What is prob of sequence lmt? 1/168 Two letters picked without replacement from {w: 9}. Give prob of sequence ww. 1 Three letters picked without replacement from {h: 2, c: 13, n: 1, m: 1}. What is prob of sequence ncm? 13/4080 Calculate prob of sequence iiii when four letters picked without replacement from {t: 9, i: 5}. 5/1001 Calculate prob of sequence njj when three letters picked without replacement from {n: 4, j: 3, a: 7}. 1/91 Three letters picked without replacement from yyyeeyiei. Give prob of sequence iii. 0 Two letters picked w
{ "pile_set_name": "DM Mathematics" }
is 46458/(-75294)*8/(-116)? 2/47 Evaluate ((-10)/15*-1)/((-53325)/6399). -2/25 Calculate (4680/1248)/((-1)/12)*(-1)/(-1). -45 0*(-24)/(-320)*(-4)/3 0 Calculate ((2/(-6))/((-50)/(-30)))/(143/(-3575)). 5 Calculate (-33)/(-429)*4/(-86)*1443/(-111). 2/43 Evaluate (20/15*1/76)/(-11*7/924). -4/19 (-2*(12/480)/((-61)/305))/(2/256) 32 What is -1*3/21*232/(-464)? 1/14 Evaluate ((-112984)/3896)/((-2)/6*((-18)/(-3))/2). 29 What is -5*(-56)/(-50820)*-66? 4/11 Evaluate 7/686*-14*280. -40 Evaluate (-4)/(-2)*(1628/12)/37*12. 88 What is (-15)/(-40)*1392/58*-1*3? -27 What is the value of (-36*504/(-51840))/(35/2)? 1/50 (17*16/(-680))/((-3)/(-3)*5/(-3)) 6/25 Calculate (1833/(-423))/((-65)/(-750)). -50 3/18*(25/(-15))/(((-1215)/(-252))/(-27)) 14/9 Evaluate ((-178)/(-267))/(2/14)*(-180)/(-175)*15. 72 Evaluate (-84)/(-10)*327/((-58860)/2100). -98 4/(-5)*(-644)/(-3542)*55 -8 What is the value of (8/(-10))/((-58380)/5619075)? 77 2*(-1)/1133*((-2112)/528)/((-84)/231) -2/103 Evaluate (-24)/(576/104)*((-10206)/468)/27. 7/2 Evaluate ((-38)/6)/((-24)/(-18))*77/(77/8). -38 What is ((-1)/(-5))/((-25788)/1535)? -1/84 Evaluate (-858)/1144*8/(-246)*6/(-3). -2/41 Calculate (9/(432/(-1024)))/((-9)/81*6). 32 -3*(-8)/6*53907/(-4530)*2/14 -34/5 Calculate 15/(-27)*-1*13410/(-2980). -5/2 Evaluate ((-29)/(-8120)*-196)/((-154)/30). 3/22 What is 3/((2800/1330)/(-40))? -57 Evaluate (-4)/(-1)*1300/(-6760). -10/13 Calculate ((-72)/15)/((-1)/20*-56*(-48)/672). 24 Calculate ((-87)/(-6))/((-35235)/(-36450)). 15 ((-200)/(-6))/(-10)*(-3)/((-2)/((-56)/(-2730))) -4/39 What is the value of (-79)/((-6162)/(-52))*(-3)/9*8? 16/9 What is (-3*72/(-81))/((-30)/405)? -36 Calculate 477/159*(-8988)/252. -107 What is 36/(-1860)*-31*-25? -15 ((-2)/(-18)*3)/(1436/(-34464)) -8 7*20*64/(-20480) -7/16 Calculate ((-2)/(-113))/(9026/30088171). 59 Evaluate (-7*40/700)/(4/(-320)*-1). -32 4/(-510)*-12*10*(-33)/(-44) 12/17 Calculate (165/(-190))/(1936/(-352)). 3/19 What is the value of (62/6)/((-219)/657)? -31 Calculate (-56)/98*((-12)/(-90)*-5)/12. 2/63 What is the value of (29315/(-738))/(-143)*3/((-15)/(-2))? 1/9 What is the value of (-26*(-17)/5967)/(40/(-36))? -1/15 What is (27/84)/(211/((-72373)/294))? -3/8 Evaluate (3903/(-36428))/((-6)/(-406)). -29/4 Evaluate ((-3)/(-2))/(1/36)*(-13489)/40467. -18 Calculate -3*7/(-42)*(616/(-55))/(-8). 7/10 What is (39*(-10)/45)/((-8)/18*405/(-1350))? -65 Evaluate (-18)/8*2*-1521*240/(-42120). -39 What is the value of (-567)/(-6804)*6/4? 1/8 Evaluate ((-6)/7*13)/((-39)/(-6825)*-125). 78/5 (-3*((-88)/143)/((-54)/(-117)))/(2/(-14)) -28 What is the value of 144/4*29/((-6148)/159)? -27 What is (-1296)/405*(-10)/28*(1547/2)/17? 52 Calculate (172/(-1591)*-2*(-4)/(-64))/((-2)/16). -4/37 Calculate 60/(-40)*(2/2)/(13*(-1)/(-962)). -111 (-50697)/524*200/225 -86 Calculate ((-58)/551)/(950/1805). -1/5 ((-1449)/69)/(-231)*22/24 1/12 What is the value of 81/(-4950)*2266/(-309)? 3/25 What is the value of ((-9)/42)/(-1*(165/25)/(-11))? -5/14 What is the value of ((-8)/(-12))/((-4929)/954)? -4/31 What is the value of ((-4560)/1020)/((-53)/(-901))? -76 What is the value of (6/27)/((160/(-1170))/(-4))*55752/3588? 101 What is -1*5*24/(-64)*(-1600)/120? -25 What is the value of ((-240)/216)/(260/12168)? -52 Evaluate -225*(1*(-15)/36)/(140/(-112)). -75 Calculate (-560)/120*(-4)/(-8). -7/3 What is ((-88)/660)/(46/30)? -2/23 What is the value of -13*(42/(-91))/((-1292)/(-34))? 3/19 ((-1700)/(-6))/((-8270)/2481) -85 Calculate ((-491)/((-6313769)/10020))/((-4)/(-7)). 15/11 ((-72)/27*3)/(224/(-80)) 20/7 Calculate (16/(-10))/((-264)/210). 14/11 What is (44/(-42))/((-100)/(-4200))? -44 What is ((-14270)/(-29967))/((-2)/42)? -10 (21/(-70))/(54777/35340) -6/31 Evaluate ((9/132)/(36/396))/((-15)/(-8)). 2/5 ((-714)/(-4))/(-3)*2476/38997 -34/9 What is the value of (-14)/(-21)*(257040/(-192))/85? -21/2 Calculate (5*(-3050)/(-1500))/((-2)/4)*3/(-1). 61 Calculate 6/((-2)/2)*((-6)/10)/(924/12320). 48 What is the value of 15/(-20)*6*24068/(-4923)? 22 What is the value of ((-325108)/(-357))/(-683)*((-2)/24)/((-2)/153)? -17/2 What is (((-132)/(-8))/(-1))/(4083/5444)? -22 -2*(-6)/(-9)*(90/42)/((-64)/32) 10/7 What is the value of (-95)/(21280/1848)*(-48)/(-66)? -6 (((-234)/(-65)*-2)/(-3))/(((-27)/60)/(-3)) 16 Calculate (-18676)/(-21344)*(-1)/((-21)/36)*(-1)/(-12). 1/8 Calculate 43/((2993/(-41))/(-73)). 43 Calculate ((-348)/(-2871))/((476/6)/17). 2/77 Evaluate ((-72)/27*1)/((-560)/(-120)). -4/7 (303/(-1616))/(31455/(-1440)) 2/233 (-18261)/4058*2*1/(-108) 1/12 What is the value of 17*(-2116)/(-6256)*(-4)/(-46)? 1/2 Evaluate (552/(-640)*4)/((-29)/580). 69 Evaluate (520/(-104))/((-36)/(-2268)*30/4). -42 534/8277*279*1/2 9 Calculate ((-876)/(-2044))/((2280/224)/19). 4/5 What is 6/(-15)*3530/30358? -2/43 What is the value of ((-169)/(247/(-19)))/((-23)/69)? -39 What is the value of ((-52)/4628*0)/(-4)? 0 What is the value of (16/36)/((42/(-56))/(594/660))? -8/15 What is the value of (2460/52275)/(84/63)? 3/85 What is the value of (34/918)/(((-3990)/1080)/(-133))? 4/3 Calculate 6/10*(-33920)/(-48336). 8/19 Calculate 25/(-30)*2*(1/3*1)/1. -5/9 What is -8*45/(-288)*(-45)/(-90)? 5/8 Evaluate (80/(-20))/(((-187)/34)/(-11)). -8 What is the value of -155*(-42)/(-120)*248/217? -62 ((140/(-12))/5)/((-14791)/285255) 45 What is the value of (-8195)/(-596)*(-60)/25? -33 Evaluate ((-23)/(-253))/((-74)/(-1628)). 2 Calculate ((-1)/21)/(894/12516). -2/3 What is (-120)/45*102*5/(-80)? 17 Calculate (-10)/(-116)*(-2460)/(-13325)*-13. -6/29 Calculate ((-1)/(-16))/(2467/(-434192)). -11 What is the value of ((-468)/(-780))/(18/(-140))*6/8? -7/2 Calculate (88/(-10))/((-136)/(-510)). -33 What is the value of (-704*(-85)/5610)/((-5)/2*(-8)/(-30))? -16 What is (3/(-15))/((-5)/(-425))? -17 What is ((2/(-134))/((-5)/(-15)))/(369/(-123))? 1/67 Evaluate (1/(-17))/(84/(-714))*144/544*4. 9/17 What is (94/3)/((-780)/(-180)*(-22)/286)? -94 What is the value of (((-39)/(-52))/(55/(-4)))/(9/10)? -2/33 What is ((50/(4800/32))/((-1)/240))/(8/4)? -40 Evaluate 18/24*(-8)/(-14)*(-1010)/303. -10/7 9/(-12)*4*(-1722)/144*80/(-35) -82 Calculate (-11)/(-3)*2680/670*(-180)/48. -55 ((-405)/(-450)*5/6)/((-1449)/1656) -6/7 Calculate ((-140)/(-98))/(150/(-420)). -4 Calculate ((-348)/(-45))/(212/(-159))*15. -87 15/(-63)*462/1155 -2/21 Evaluate ((4/(-8))/((-1)/2))/5*20. 4 12/((-385)/(-18326)*68) 42/5 Calculate (-7)/(-6)*26*1785/(-1547). -35 What is the value of ((-494)/(-247))/((22/(-440))/((-12)/(-10)))? -48 Calculate 10/((-101)/(4242/(-945))). 4/9 What is (-1)/(1/85)*39*(-28)/5460? 17 Evaluate (-5)/6*5385/520550. -1/116 Evaluate -54*161/((-4347)/(-18)). -36 144795/1970*7/(21/(-2)) -49 Calculate ((18/12)/(15/20))/((-1830)/30). -2/61 What is ((-240)/25)/2*(-9650)/44004*(-6)/(-10)? 12/19 Evaluate (18386/27579)/(1/222*-4). -37 (-20*(-3)/180)/((-75)/1125) -5 Calculate ((-6)/(-4))/(((-16)/20)/((-144)/(-2160)))*-5. 5/8 What is the value of 24*(-10)/(-6)*1*234/(-312)? -30 (-3)/2*8/10*(328/(-8))/10086 1/205 What is (448/12)/14*((-270)/(-12))/(1*3)? 20 235/36660*26/(-4) -1/24 What is (-5461)/(381/3)*-2*(-2)/(-4)*-1? -43 Calculate 14/6*(-20)/(90/9)*336/4312. -4/11 ((-2)/28)/(((-22)/((-22)/1))/(-77)) 11/2 What is the value of ((((-24)/(-20))/((-126)/30))/((-2)/336))/(-1)? -48 What is (62/(-186)*(-3)/(-4))/(64/(-2688))? 21/2 Evaluate 575/161*(-9)/(-15)*378/(-90)*-5. 45 What is the value of (((-363)/(-2541))/(2/392))/(2/(-3))? -42 Evaluate 36/(-14)*5/(-3)*51673/(-103346). -15/7 Evaluate ((16/108)/(1430/3861))/(((-1)/(-265))/(-1)). -106 Evaluate ((-49)/(-98))/((54/(-1116))/3). -31 Evaluate (-7)/(((-1424)/2136)/((-2)/(-7))). 3 Evaluate 21/(-56)*2*(-13)/(-78)*(-952)/(-7). -17 ((-4)/(-20))/((-596)/(-53640)) 18 Calculate 2*(-192)/1200*-100. 32 Calculate (80/(-14))/(314/(-2198))*(-4)/(-16)*-5. -50 What is (-147)/728*20/(-14)*(-444)/1110? -3/26 (((-10)/7)/((-1885)/1131))/((-30)/56) -8/5 What is the value of (-14)/((-20)/(128/32))? 14/5 What is the value of -1*(-315)/1305*-29? -7 What is the value of ((82946/(-268))/(-619))/(1/(-6)*2/(-30))? 45 What is (-15)/(-7)*14350/(-7626)*31? -125 2/(-188)*8*(-568)/2272 1/47 (20/45)/(4/1026*3) 38 Evaluate (13*960/(-5200))/(4*2/(-30)). 9 Evaluate (112/(-126)*3/2)/(39/(-9)*-2). -2/13 Calculate ((-136)/1972)/((-13)/(-13)). -2/29 What is (6/(-196))/((-167
{ "pile_set_name": "DM Mathematics" }
y nanoseconds are there in 9879.662 minutes? 592779720000000 Convert 6617.231 nanometers to kilometers. 0.000000006617231 How many years are there in 3/25 of a century? 12 What is three eighths of a litre in millilitres? 375 How many minutes are there in 1/6 of a hour? 10 What is 3/25 of a millennium in months? 1440 What is 44/5 of a kilometer in meters? 8800 Convert 46.02933 litres to millilitres. 46029.33 Convert 0.6222272 millennia to centuries. 6.222272 How many centuries are there in 886967.2 decades? 88696.72 What is one quarter of a meter in centimeters? 25 How many millennia are there in 5.654109 decades? 0.05654109 What is 35.25276kg in micrograms? 35252760000 How many meters are there in seventy-five quarters of a kilometer? 18750 What is 87/5 of a hour in minutes? 1044 How many micrometers are there in 8.38616 kilometers? 8386160000 What is ten thirds of a minute in seconds? 200 How many minutes are there in 31/2 of a day? 22320 What is 27/5 of a decade in months? 648 What is seven thirds of a week in hours? 392 How many decades are there in twenty-seven fifths of a century? 54 What is 3/32 of a millimeter in nanometers? 93750 What is 6477.879ml in litres? 6.477879 What is one tenth of a milligram in nanograms? 100000 How many milliseconds are there in 89.3682ns? 0.0000893682 What is seven halves of a micrometer in nanometers? 3500 What is 18/5 of a litre in millilitres? 3600 How many millilitres are there in 5/8 of a litre? 625 What is 3/25 of a second in milliseconds? 120 What is 51/4 of a second in milliseconds? 12750 What is thirteen quarters of a litre in millilitres? 3250 How many millilitres are there in 11/2 of a litre? 5500 How many milligrams are there in 0.3535962g? 353.5962 How many weeks are there in 5366.8972 days? 766.6996 What is 11/2 of a hour in minutes? 330 How many millilitres are there in 8/25 of a litre? 320 What is 3.218266mg in nanograms? 3218266 How many millilitres are there in one quarter of a litre? 250 What is 3/50 of a milligram in micrograms? 60 How many nanometers are there in 32/5 of a micrometer? 6400 What is 887802.2 years in millennia? 887.8022 Convert 99258.22 millilitres to litres. 99.25822 Convert 58.2303ug to kilograms. 0.0000000582303 How many hours are there in one quarter of a week? 42 What is 281089.9 kilometers in nanometers? 281089900000000000 What is 1/45 of a day in minutes? 32 What is one quarter of a meter in centimeters? 25 What is one tenth of a centimeter in micrometers? 1000 What is 51/4 of a millisecond in microseconds? 12750 How many millimeters are there in six fifths of a centimeter? 12 How many seconds are there in eighteen fifths of a minute? 216 How many nanometers are there in one sixteenth of a millimeter? 62500 Convert 0.253969 kilograms to nanograms. 253969000000 How many nanoseconds are there in 323801.6 microseconds? 323801600 What is fourty-three quarters of a century in months? 12900 How many seconds are there in 7/4 of a hour? 6300 How many weeks are there in 627.0516 minutes? 0.0622075 How many millilitres are there in seven halves of a litre? 3500 How many millilitres are there in 98810.04l? 98810040 How many seconds are there in 1/27 of a day? 3200 How many nanometers are there in 79578.88mm? 79578880000 Convert 18324627.3 seconds to weeks. 30.29865625 How many micrometers are there in one tenth of a millimeter? 100 How many centimeters are there in 15/4 of a meter? 375 How many months are there in eleven tenths of a decade? 132 What is one tenth of a centimeter in millimeters? 1 What is 27/2 of a microgram in nanograms? 13500 Convert 2.222596 days to microseconds. 192032294400 What is 45/4 of a meter in centimeters? 1125 Convert 7.709097 kilometers to micrometers. 7709097000 Convert 5289.621 grams to micrograms. 5289621000 How many tonnes are there in 11.4495 kilograms? 0.0114495 How many microseconds are there in 12/25 of a millisecond? 480 What is 1/10 of a litre in millilitres? 100 What is fourty-one halves of a litre in millilitres? 20500 What is three tenths of a litre in millilitres? 300 What is 289773.4 tonnes in nanograms? 289773400000000000000 What is 21/2 of a millennium in centuries? 105 What is 30990.21 litres in millilitres? 30990210 What is 90991.98 milligrams in nanograms? 90991980000 What is seventy-three fifths of a minute in seconds? 876 Convert 0.85488us to seconds. 0.00000085488 What is two sevenths of a week in minutes? 2880 What is 243644.04 months in years? 20303.67 What is 711211.1 hours in nanoseconds? 2560359960000000000 Convert 472706.4 microseconds to minutes. 0.00787844 What is 143.504568us in days? 0.0000000016609325 What is 7/25 of a litre in millilitres? 280 How many months are there in seven quarters of a decade? 210 What is 2655.61 millennia in decades? 265561 What is 17/2 of a year in months? 102 How many millennia are there in 493.5235 decades? 4.935235 What is 4.607411 weeks in hours? 774.045048 What is twenty-seven quarters of a week in hours? 1134 What is 9/10 of a litre in millilitres? 900 How many meters are there in 97769.11mm? 97.76911 Convert 0.645985 hours to nanoseconds. 2325546000000 Convert 4045.057 millilitres to litres. 4.045057 Convert 99.77787ng to grams. 0.00000009977787 What is 36181.58cm in nanometers? 361815800000 What is seventeen halves of a centimeter in micrometers? 85000 How many years are there in 466291.8 centuries? 46629180 What is five eighths of a tonne in kilograms? 625 How many nanoseconds are there in 258653.7 weeks? 156433757760000000000 How many nanoseconds are there in 73706.5s? 73706500000000 What is 444.822t in milligrams? 444822000000 What is 23.94053ml in litres? 0.02394053 What is one fifth of a milligram in micrograms? 200 What is one fifth of a litre in millilitres? 200 How many millilitres are there in 6/5 of a litre? 1200 What is 6/5 of a microgram in nanograms? 1200 How many months are there in eleven quarters of a decade? 330 How many nanograms are there in 6/25 of a microgram? 240 What is three fifths of a centimeter in micrometers? 6000 How many seconds are there in 23.83321 weeks? 14414325.408 What is seventeen quarters of a milligram in micrograms? 4250 How many litres are there in 69830.02ml? 69.83002 How many nanograms are there in 43.69055mg? 43690550 How many years are there in 1/4 of a millennium? 250 How many nanometers are there in 4.186317 micrometers? 4186.317 What is eleven halves of a micrometer in nanometers? 5500 Convert 353349.1 decades to months. 42401892 How many millimeters are there in 69.15386 centimeters? 691.5386 What is 1/15 of a century in months? 80 What is twenty ninths of a hour in seconds? 8000 How many centuries are there in eleven halves of a millennium? 55 How many months are there in 632.1199 decades? 75854.388 How many years are there in 87084.06 millennia? 87084060 What is fifty-nine fifths of a millennium in decades? 1180 How many litres are there in 683.0004ml? 0.6830004 Convert 73828.12 tonnes to kilograms. 73828120 How many seconds are there in one sixteenth of a week? 37800 How many millimeters are there in 7/4 of a meter? 1750 How many milligrams are there in one twentieth of a kilogram? 50000 What is 6.869009m in micrometers? 6869009 Convert 3.49196ml to litres. 0.00349196 What is 45/2 of a litre in millilitres? 22500 What is 43/4 of a litre in millilitres? 10750 What is seven quarters of a minute in seconds? 105 How many milliseconds are there in 2086.806us? 2.086806 How many milligrams are there in sixty-seven quarters of a gram? 16750 How many nanograms are there in 27/5 of a microgram? 5400 How many meters are there in 12/25 of a kilometer? 480 What is 3/40 of a micrometer in nanometers? 75 What is 5/8 of a decade in months? 75 Convert 4368.853 nanometers to centimeters. 0.0004368853 How many milligrams are there in 727606.9 nanograms? 0.7276069 Convert 443709.8 micrometers to millimeters. 443.7098 How many nanograms are there in 34/5 of a microgram? 6800 What is twenty-five halves of a litre in millilitres? 12500 Convert 106734.213s to days. 1.2353496875 What is eleven quarters of a kilometer in meters? 2750 How many months are there in 1/30 of a decade? 4 Convert 635457.7 tonnes to kilograms. 635457700 How many milliseconds
{ "pile_set_name": "DM Mathematics" }
22)*k)/k)/k assuming k is positive. k**55 Simplify (x*x**(2/11))**49 assuming x is positive. x**(637/11) Simplify (b**1*b)**34 assuming b is positive. b**68 Simplify ((o/(o/o**0)*o)/o)**(-2/53)/(o*o**6*o*((o*(o/o**3*o*o)/o)/o*o)/o) assuming o is positive. o**(-7) Simplify s*s/s**(-2)*s**(-2)*s**(-1/2)/s*s*s/(s/s**3)*s assuming s is positive. s**(11/2) Simplify ((x*x**(-7)/x)/x*x)/(x*x**(-2/11)) assuming x is positive. x**(-86/11) Simplify ((o*o/(o/o**11*o))/o)**(1/28) assuming o is positive. o**(5/14) Simplify ((m/((m*m**(3/14)*m)/m))/m*m/m**12)**(-15/2) assuming m is positive. m**(2565/28) Simplify ((v*v*v*(v**(-10)*v)/v)/v)/(v/(v*v**(-21))) assuming v is positive. v**(-29) Simplify (((((p*p**(2/5)/p*p)/p*p)/p)/p)**(-22))**(-24) assuming p is positive. p**(-1584/5) Simplify ((k/(k/k**(-2/17)))/(k**(-5/2)/k))**19 assuming k is positive. k**(2185/34) Simplify (n/n**(-2))**(1/10)*n/(n*n/(n**(3/11)*n))*n**(2/21)*n assuming n is positive. n**(3853/2310) Simplify ((y**(17/4)/y)/y)**(15/7) assuming y is positive. y**(135/28) Simplify h**4*h/(h/(h*h**(-9)))*h assuming h is positive. h**(-3) Simplify ((f/(f**8*f))/(f*f/(f/f**1)*f))/(f*f**(1/9)*f/((f**6*f)/f)) assuming f is positive. f**(-64/9) Simplify (c*c*c**(1/13)*c)/(c*(c*c**(2/9)/c*c)/c*c*c)*(c**(2/5))**42 assuming c is positive. c**(9743/585) Simplify (o**(2/29)/o*o)**(-15) assuming o is positive. o**(-30/29) Simplify w*w**8*w*w**7*w**(-2)/(w*w*w**7/w) assuming w is positive. w**7 Simplify (q**(-5)*q*q*q**(1/5)*q)/(q**0*q*q)**1 assuming q is positive. q**(-19/5) Simplify (r**(1/12))**45 assuming r is positive. r**(15/4) Simplify g**4/g*g/(g*g*g**(-2/19))*g*g/g**(3/7)*g**(2/23) assuming g is positive. g**(11513/3059) Simplify (j**(2/9)*j*j*j)/j**(-1)*j**(1/3)/(j/(j/((j*j**(-1))/j))*j) assuming j is positive. j**(41/9) Simplify (z**(-1))**(1/50)*(z**2)**(-1/6) assuming z is positive. z**(-53/150) Simplify (a*a/(a**(6/5)*a))/a**(-1/13) assuming a is positive. a**(-8/65) Simplify (c**(-1)/c)**(-2/59)/(c/((c*c/(c**(-1/4)/c)*c)/c)*(c**1*c*c)/c) assuming c is positive. c**(75/236) Simplify a**1/(a**(-11)*a) assuming a is positive. a**11 Simplify ((c**(-2/5)*c)/c)**(-16)/((c/(c/((c**(-1)/c)/c)*c))/c**(-1/3)) assuming c is positive. c**(151/15) Simplify (w*w*w**14*w)/w**22 assuming w is positive. w**(-5) Simplify t/(t*t**9)*t*t/(t*t*(t*t**(-1/20))/t) assuming t is positive. t**(-179/20) Simplify (((k/(k**(-2)*k))/k)/k**(-6/7))**(1/9) assuming k is positive. k**(13/63) Simplify (((g*g**(1/3))/g)/g*g)**2 assuming g is positive. g**(2/3) Simplify (t**(8/11))**(9/8) assuming t is positive. t**(9/11) Simplify (i*i**(1/7)*i*i/(i*(i*i*(i**(3/5)/i*i)/i)/i))/(i**0)**10 assuming i is positive. i**(54/35) Simplify u/u**(-3)*u*u/(u/(u*(u*(u**4/u)/u)/u))*u**3*u/u**(-2)*u assuming u is positive. u**15 Simplify (((x**(-1/4)*x)/x)/x)**(-11/4)*(x**1)**(2/49) assuming x is positive. x**(2727/784) Simplify (t**(-3)*t/(((t**4*t)/t*t)/t)*t)/(t**0)**37 assuming t is positive. t**(-5) Simplify p**8/p**(-2/15)*((p/(p/(p*p**(-6)/p)))/p)/((p*p*p/(p*p/(p**(-1/5)/p)*p*p)*p)/p*p) assuming p is positive. p**(7/3) Simplify (b/(b*b*b/b**33*b))/(b**(-2/21)/b*b) assuming b is positive. b**(632/21) Simplify (h/(h/(((h**0/h)/h)/h*h)))**(-48)*(h/h**(-7))/h*h**(-2/11)*h*h assuming h is positive. h**(1153/11) Simplify (q**(2/13)*q**(2/21))/(((q/(q*q**(-6)/q))/q)/(q/((q/q**(3/8))/q*q))) assuming q is positive. q**(-11741/2184) Simplify (a**(-2)/a*a**(-4))**(-1/8) assuming a is positive. a**(7/8) Simplify ((c/c**(-1/6))/c**(-4/7))/(c*c**(1/8)*c**(-4/7)) assuming c is positive. c**(199/168) Simplify (r*(r*r**6)/r*r/r**(-3))**40 assuming r is positive. r**440 Simplify y**4/y**(-1/15)*(y/y**5*y)/(y/(y*y**(2/17)*y)) assuming y is positive. y**(557/255) Simplify (w**(-3)*w*w**(1/3))**30 assuming w is positive. w**(-50) Simplify z/(z*z**35*z)*z*z**(-8) assuming z is positive. z**(-43) Simplify (x*x**(-3/11))/(x*x/(x*x**(1/4)*x)*x) assuming x is positive. x**(-1/44) Simplify (t**(2/7)*t)/((t**(-7/3)/t)/t) assuming t is positive. t**(118/21) Simplify (w*(w*w/w**1*w)/w)**(-2/49)*w**(-2/3)/(w/(w**(-3/5)*w*w)) assuming w is positive. w**(-256/735) Simplify (k/(k/(k*k**(-2/5))))/(k*((k**1/k)/k)/k)*(k*k**(-1/6))/(k*k**(-3/7)) assuming k is positive. k**(391/210) Simplify (f**4*f/(f*(f**13/f)/f))**(-11) assuming f is positive. f**77 Simplify (c**6)**43 assuming c is positive. c**258 Simplify (k/k**(1/3)*k)**(-47)/((k/k**4*k)/(k*k/(k/(k**(2/9)*k))*k)) assuming k is positive. k**(-658/9) Simplify j*j**5*j**(1/6)*j**7/(j/(j/((j*j**(-2/9)*j*j)/j))) assuming j is positive. j**(205/18) Simplify (r/r**(-1/3))**(-31)*(((r*r**(-4/3))/r)/r)/r**5 assuming r is positive. r**(-146/3) Simplify (o/o**(2/9)*o**3)/((o/(o*o**4*o))/(o/((o/o**7)/o))) assuming o is positive. o**(151/9) Simplify (n**0)**(-9)*n**(-2/11)/n*n*n*n/((n/(n*n**3))/n)*n assuming n is positive. n**(75/11) Simplify u/(u/(u*u/(u/u**(-3/19))))*u*u/(u/(((u*u*u/(u*u**5*u)*u)/u)/u)*u) assuming u is positive. u**(-79/19) Simplify (u/(u/u**(-16)*u))/(((u**(-6/5)*u)/u)/u) assuming u is positive. u**(-74/5) Simplify (l/(l/(((l*l*l/(l*l/(l**6/l))*l*l*l)/l)/l*l)))/(l*(((l*l/(l/((l*l**(-4/5)/l*l)/l))*l)/l)/l*l)/l)*l**(-2/11)*l**(6/11) assuming l is positive. l**(449/55) Simplify (b/(b*b**(-3/5)))/b**(-33) assuming b is positive. b**(168/5) Simplify (d*d**(-4/5)*d*d)/((d*d**(-5)*d)/d)*(d/d**(2/3))/d**(-1) assuming d is positive. d**(113/15) Simplify u**(-13)*u*u*u**(-2/15) assuming u is positive. u**(-167/15) Simplify (w**(-2/17)/w*(w*w**(2/11))/w)**(-9) assuming w is positive. w**(1575/187) Simplify (p/(p**(2/17)*p))/(p*p/(p**19*p*p)) assuming p is positive. p**(321/17) Simplify s*s*(s/s**13)/s*s*s/s**(-4/5) assuming s is positive. s**(-41/5) Simplify (((o/(o*o**(-3/7)))/o)/(o*o*o*o**(-1)*o*o*o))/((o**1/o)/(o**(-5)/o*o)) assuming o is positive. o**(-74/7) Simplify ((q*q*q**(2/5)*q*q*q*q*q)**(2/51))**(-2/5) assuming q is positive. q**(-148/1275) Simplify v**0/(((v*v**(-8))/v)/v)*v**1/((v/((v**(3/7)/v)/v))/v*v) assuming v is positive. v**(52/7) Simplify ((x*x**(-6))/(((x/(x*(x**(-2/11)/x)/x))/x)/x*x))/((x**(-1)*x)/x**5) assuming x is positive. x**(-13/11) Simplify ((a/(a*(a*a/(a**(-5/6)/a))/a))/(a*a**4))/(a**(-1/3)/a*a)**(-22) assuming a is positive. a**(-91/6) Simplify y*y*y/((y*y**(-21))/y)*y*y*y**(4/17) assuming y is positive. y**(446/17) Simplify (l/(l**(4/3)/l))/l**(-10) assuming l is positive. l**(32/3) Simplify (k**(-2/7))**34*(k**1/k)**47 assuming k is positive. k**(-68/7) Simplify (x**6)**(-4/7) assuming x is positive. x**(-24/7) Simplify y**(-1/10)*y**(1/4) assuming y is positive. y**(3/20) Simplify (q/q**3*q*q**(1/6))**30 assuming q is positive. q**(-25) Simplify (h**(2/9))**(2/123)/((h/h**(-7))/h**(-1)) assuming h is positive. h**(-9959/1107) Simplify ((b**(-1/2)*b)/(b*b**(-6/5)*b*b))**(-2/17) assuming b is positive. b**(13/85) Simplify (y**(-3/2)*y**7*y)**42 assuming y is positive. y**273 Simplify x**25*x**(4/9) assuming x is positive. x**(229/9) Simplify q**(-3/4)/q**(-6)*q**5/q**(4/3) assuming q is positive. q**(107/12) Simplify z**(-2/25)*z*z/z**1*z*z*(z*z**(-1))**(-2/7) assuming z is positive. z**(73/25) Simplify (y**(-3/5)/y)/((y/(y/y**(1/2)))/y)*(y**1/y)**(-39) assuming y is positive. y**(-11/10) Simplify (w/(w/w**13))/(w/(w**9*w)) assuming w is positive. w**22 Simplify (c*c**(-2/5))**(2/91) assuming c is positive. c**(6/455) Simplify ((t*t**1)/(t/((t*t/t**4)/t)))**26 assuming t is positive. t**(-52) Simplify (n**(-3/5))**37 assuming n is positive. n**(-111/5) Simplify n**(-3/2)*n*n*(n/((n/((n/((n**14*n*n*n)/n)*n*n*n)/n))/n))/n assuming n is positive. n**(-25/2) Simplify (a**(3/2))**(-20) assuming a is positive. a**(-30) Simplify (f**(-13))**(1/13) assuming f is positive. 1/f Simplify g*g/(g*g/g**(-7))*g*g*g/(g*g**(2/7)/g)*g**5/(g*g/(g/(g**(2/5)*g))*g) assuming g is positive. g**(-94/35) Simplify (((b*b**2/b)/b*b)/b*b)/(b**(-2/9)/b*b)*b**(-1/3)/(b**(2/11)/b) assuming b is positive. b**(268/99) Simplify f/f**(3/4)*f/(f/(f/(f**(-2)/f))*f)*f**2*(f/((f/(f**(-3)*f))/f))/f assuming f is positive. f**(13/4) Simplify k**24*k*k**(3/16)/k assuming k is positive. k**(387/16) Simplify ((((m*m*m/((m*m**(-4/7))/m*m*m))/m)/m)/m**3)**(2/55) assuming m is positive. m**(-48/385) Simplify (w**(-1/13)*w**2)/(w**6/w*
{ "pile_set_name": "DM Mathematics" }
3 - 7 + 0*z**2. Solve w(v) = 0 for v. -1, 0, 2 Let p(b) be the second derivative of -b**5/90 + b**4/27 + b**3/27 - 2*b**2/9 + 3*b. What is q in p(q) = 0? -1, 1, 2 Let n = 185/429 + -14/143. Factor 2/3*v + 1/3*v**2 + n. (v + 1)**2/3 Let p(z) = -z**2 - 9*z. Let l be p(-9). Let m(j) be the second derivative of 1/18*j**4 + 0 - 1/30*j**5 + l*j**2 + 0*j**3 + 2*j. Solve m(g) = 0. 0, 1 Let d(z) be the second derivative of 0 + 1/9*z**4 + 0*z**2 + 2/45*z**6 - 1/18*z**3 - 1/10*z**5 - 2*z - 1/126*z**7. Factor d(w). -w*(w - 1)**4/3 Let z(c) = 5*c - 14. Let r be z(5). Suppose -r - 4 = -5*g. Determine a so that 0*a + 2/3*a**4 + 2/9*a**2 - 2/3*a**g + 0 - 2/9*a**5 = 0. 0, 1 Let p(r) be the third derivative of r**5/240 - r**4/48 - 7*r**2. Let p(y) = 0. Calculate y. 0, 2 Let o(s) be the first derivative of 0*s + 5 - 3/7*s**2 + 3/7*s**3. Determine l, given that o(l) = 0. 0, 2/3 Let h(o) be the third derivative of o**7/105 - o**6/20 + o**5/10 - o**4/12 - 2*o**2. Factor h(v). 2*v*(v - 1)**3 Let t(c) be the second derivative of -1/16*c**4 + 0 + 0*c**3 - 2*c + 3/8*c**2. Factor t(j). -3*(j - 1)*(j + 1)/4 Let h = -3004/91 + 33. Let o = 177/455 - h. Solve o*p**3 + 6/5*p - 2/5 - 6/5*p**2 = 0. 1 Let u(n) be the third derivative of -5*n**8/336 - n**7/42 + 5*n**6/24 - n**5/4 - 42*n**2. Factor u(k). -5*k**2*(k - 1)**2*(k + 3) Let j be 1 + 1*3/(-10)*2. Determine l so that -j - 2/5*l**3 - 6/5*l - 6/5*l**2 = 0. -1 Let a be (-28)/6*24/(-16). Find t such that 6*t + 1 - 3*t**2 + 3*t**4 - a*t**3 + t**3 - 1 = 0. -1, 0, 1, 2 Let c be 1/(-15)*-6*-35. Let d be c/(-30) + (-7)/(-35). Determine j, given that -d*j**5 - 4/3*j**2 - 4/3*j**3 + 2*j**4 + 2*j - 2/3 = 0. -1, 1 Let s = 55 + -53. Let f(d) be the second derivative of 0 + 0*d**3 - s*d - d**2 + 1/6*d**4. Factor f(c). 2*(c - 1)*(c + 1) Suppose -x - 2*x = 6*x. What is z in -26/9*z**3 - 8/9*z + 8/3*z**2 + x - 2/9*z**5 + 4/3*z**4 = 0? 0, 1, 2 Let p(v) be the second derivative of v**7/14 - 11*v**6/10 + 3*v**5/2 + 53*v**4/2 + 133*v**3/2 + 147*v**2/2 + 4*v. Suppose p(h) = 0. What is h? -1, 7 Suppose -5*i = -4*i - 12. Factor -i - p**3 + p**4 + 12. p**3*(p - 1) Let w = 452/385 - -14/55. Determine y so that -8/7*y**3 + 16/7*y**2 + 2/7 - w*y = 0. 1/2, 1 Let a(c) = 9*c**2 - 5*c - 1. Let k(w) = -8*w**2 + 5*w + 1. Let x(u) = 2*a(u) + 3*k(u). Let r(o) = -3*o**2 + 2*o + 1. Let t(s) = -5*r(s) + 2*x(s). Factor t(i). 3*(i - 1)*(i + 1) Let d(a) = 3*a**2 + 30*a. Let u = 11 + -23. Let r(p) = -p**2 - 12*p. Let i(o) = u*r(o) - 5*d(o). Suppose i(k) = 0. Calculate k. -2, 0 Let r(n) be the first derivative of 0*n - 1/2*n**4 - n**5 + 0*n**2 + 0*n**3 + 4 + 7/6*n**6. Determine l so that r(l) = 0. -2/7, 0, 1 Let x(w) = 10*w**4 + 8*w**3 - 22*w**2 - 12*w + 13. Let j(c) = -c**4 - c**3 - 1. Let t(v) = 20*j(v) + 4*x(v). Solve t(b) = 0. -2, -1, 2/5, 2 Let o(p) be the second derivative of -p**5/10 + p**4/3 + 4*p**3/3 - 2*p**2 + 2*p. Let f(s) = -s**3. Let b(c) = -6*f(c) - o(c). Suppose b(r) = 0. Calculate r. -1, 1/2, 1 Factor -12*o - 64/5*o**2 - 12/5*o**3 + 72/5. -4*(o + 3)**2*(3*o - 2)/5 Let d(t) be the first derivative of -3 - 3/4*t**3 - 1/10*t**5 + 5/8*t**2 + 7/16*t**4 - 1/4*t. Find a, given that d(a) = 0. 1/2, 1 Let a(z) be the third derivative of z**3 + z**2 + 0 + 0*z - 1/8*z**4 - 1/20*z**5. What is p in a(p) = 0? -2, 1 Let y = 14 - 14. Factor n - n**3 + 2 + y*n + 2*n. -(n - 2)*(n + 1)**2 Let j(r) be the first derivative of -r**5/60 - r**4/48 + r**3/12 - r**2/2 - 3. Let q(m) be the second derivative of j(m). Factor q(i). -(i + 1)*(2*i - 1)/2 Factor 2/15*p**5 + 0*p + 2/3*p**3 + 0 + 4/15*p**2 + 8/15*p**4. 2*p**2*(p + 1)**2*(p + 2)/15 Let z(p) = 15*p**2 + 5*p + 10. Let u(t) = t**2 + 1. Let h(c) = 10*u(c) - z(c). Suppose h(m) = 0. What is m? -1, 0 Suppose -5*f = 2*c - 36, 0 = -0*c + 2*c - 6. Suppose 0*z - 4*y - f = -z, 0 = 3*z - 4*y - 10. Factor -2*k + 0 + 0 + z*k**2. 2*k*(k - 1) Let m(k) = -k. Let d(h) = 2*h**2 + h + 4. Let n(v) = d(v) - 5*m(v). Factor n(j). 2*(j + 1)*(j + 2) Let u(m) = 5*m**4 - m**3 - 4*m. Suppose 16 - 1 = 5*a. Let x(z) = -4*z**4 + z**3 + 3*z. Suppose -10 = -4*s + 6. Let i(n) = a*u(n) + s*x(n). Factor i(p). -p**3*(p - 1) Let l be 106/10 - (-4)/10. Suppose -z = 4*m - l, 3*m = 5*z + 23 + 14. Find b such that 4*b**5 - b**3 - 5*b**5 + m*b**4 - 2*b**4 = 0. 0, 1 Let m(l) be the third derivative of -l**5/15 + l**4/3 + 16*l**3/3 + 47*l**2. Solve m(c) = 0. -2, 4 Let x = -237 - -949/4. Find y, given that -x*y**2 + 0 + 0*y = 0. 0 Suppose 1/2*r**4 + 1/2*r + 3/2*r**3 + 3/2*r**2 + 0 = 0. Calculate r. -1, 0 Let p(d) be the third derivative of d**10/37800 - d**8/5040 - d**5/10 + 7*d**2. Let m(j) be the third derivative of p(j). Let m(x) = 0. What is x? -1, 0, 1 Suppose -3 = -4*l - p, 2*l - l + 3*p - 9 = 0. Solve -2/5*n**2 + 0*n + 2/5*n**4 + l - 2/5*n**5 + 2/5*n**3 = 0 for n. -1, 0, 1 Suppose 0*v - 1/4*v**4 + 1/4*v**2 + 0 + 0*v**3 = 0. What is v? -1, 0, 1 Let y be (-5 + 4)/((-2)/10). Determine g so that g**3 + 2*g**2 - g**2 + 3*g**2 - y*g**2 = 0. 0, 1 Let f = -13 - -15. Suppose -5*b + 3 = -2*v - 1, -b + v = -f. Factor -1/3*w**4 + b*w**3 + 0*w + w**5 + 0 + 0*w**2. w**4*(3*w - 1)/3 Let n(p) be the second derivative of p**6/105 + p**5/70 - p**4/14 - p**3/21 + 2*p**2/7 + 10*p. Factor n(d). 2*(d - 1)**2*(d + 1)*(d + 2)/7 Determine d, given that 2*d**3 + 24/11*d**4 - 24/11*d + 16/11 - 10/11*d**5 - 52/11*d**2 = 0. -1, 2/5, 2 Solve -2/15*w**3 - 2/3*w - 16/15*w**2 + 20/3 = 0. -5, 2 Suppose 3*w = 7*w. Let q be w*(-1 + -2 - -2). Find b such that q - 6/7*b**2 + 4/7*b = 0. 0, 2/3 Let h(d) be the second derivative of -1/2*d**2 - 1/40*d**5 + 1/4*d**3 + 3*d + 0 + 0*d**4. Factor h(t). -(t - 1)**2*(t + 2)/2 Let h be 4/(-22) + 57/11. Suppose 5*x = n - h*n + 10, 2*x = -4*n + 4. Determine o so that -o + 2*o**2 - o + 3*o - o**3 - 2 + n*o**3 = 0. -1, 1, 2 Let c(w) be the third derivative of -w**2 + 1/120*w**5 - 1/480*w**6 + 0*w + 0*w**3 + 0 - 1/96*w**4. Factor c(r). -r*(r - 1)**2/4 Suppose -29*x + 12 = -25*x. Let t(s) be the first derivative of 0*s - 1/4*s**4 + 1/3*s**x + s**2 - 1. Factor t(i). -i*(i - 2)*(i + 1) Let c(x) be the third derivative of -x**7/15 - x**6/30 + 7*x**5/30 + x**4/6 - 14*x**2. Factor c(y). -2*y*(y - 1)*(y + 1)*(7*y + 2) Let 1/7*j**3 + 2/7*j**2 + 0*j + 0 = 0. What is j? -2, 0 Let l(h) = -h**2 - 15*h + 36. Let w be l(-17). Factor 1/2*n**5 + 3*n**3 + 0 - 2*n**4 - 2*n**w + 1/2*n. n*(n - 1)**4/2 Let j(h) be the third derivative of -h**7/140 - h**6/20 - h**5/8 - h**4/8 - 9*h**2. Factor j(c). -3*c*(c + 1)**2*(c + 2)/2 Let v = 8 - 6. Suppose 1 = 2*d - 3. Suppose i + 4*i**d - 4*i**v + i**2 + i = 0. What is i? -2, 0 Let r(x) be the second derivative of x**5/110 + 7*x**4/22 + 49*x**3/11 + 343*x**2/11 + 22*x. Factor r(m). 2*(m + 7)**3/11 Let c(t) be the first derivative of t**6/1800 - t**4/120 - 7*t**3/3 - 1. Let a(x) be the third derivative of c(x). Determine n so that a(n) = 0. -1, 1 Let n(b) = -2*b - 12. Let c be n(-7). Let -4*r**2 + 5*r**2 + 2*r**2 - 2*r**c - r**4 = 0. Calculate r. -1, 0, 1 Suppose -8 = -2*z - p, 2*z = 4*z + 4*p - 14. Let x(v) be the first derivative of 2*v - v**2 + 1/2*v**4 + 1 - 2/3*v**z. Factor x(a). 2*(a - 1)**2*(a + 1) Let n(p) be the first derivative of p**5/10 + p**4/8 - 3. Find r such that n(r) = 0. -1, 0 Suppose -8*g + 3*g = 25. Let r = g - -5. Determine b, given that r*b + 2/3*b**2 - 2/3 = 0. -1, 1 Let k be (-4)/6 + (-32)/6. Let f be 40/12*k/(-5). Find o such that -4*o**3 - 2*o**5 + 4*o**5 + 8*o**2 + 0*o**5 + 2*o - 4*o**4 - f = 0. -1, 1, 2 Find b such that 4/7*b**2 - 24/7 + 4/7*b = 0. -3, 2 Let s(c) be the first derivative of 4*c**5/7 - 22*c**4/7 + 44*c**3/7 - 40*c**2/7 + 16*c/7 + 12. Find i, given that s(i) = 0. 2/5, 1, 2 Let p(o) be the first derivative of o**8/2240 - o**6/480 + o**3 - 4. Let k(g) be the third derivative of p(g). Factor k(x). 3*x**2*(x - 1)*(x + 1)/4 Let t(b) be the first derivative of b**4/6 + 2*b**3/3 + 2*b**2/3 - 9. Factor t(x). 2*x*(x + 1)*(x + 2)/3 Suppose -9*g**2 - 1 + 16 - 12*g + 6*g**2 = 0. Calculate g. -5, 1 Suppose 5*i + 3*u = 21, -3*i + 2*u = 2*i - 11. Factor 0 + 0*b - 4/7*b**2 + 10/7*b**i. 2*b**2*(5*b - 2)/7 Suppose -5 = -6*q + 7. Factor -18*t - 4*t**q - 12*t + 2*t - 16*t**2 - 8. -4*(t + 1)*(5*t + 2) Let j(w) be the second derivative of w**9/3024 - w**7/840 - w**3/3 + 2*w. Let d(o) be the second derivative of j(o). W
{ "pile_set_name": "DM Mathematics" }
t is divided by 14. 13 What is the remainder when (1 + 2)/(1/6) is divided by (-1656)/(-138) + 1*-2? 8 Suppose -p - 3*q = 3*p + 21, -3 = 4*p - 3*q. What is the remainder when 3 + ((-117)/(-3) - p) is divided by (-529)/(-46)*((1 - -1) + 0)? 22 Let w = 54 - 51. Let x(p) = -p - 4. Let d be x(-4). Let m = w - d. What is the remainder when 3 is divided by m? 0 Let y(d) = -d**3 + 4*d**2 - 2. Let x be y(4). Let h be x/4*2 - -14. Calculate the remainder when (h + -11)/(2/13) is divided by 7. 6 Calculate the remainder when (-8 + 6 - -96) + 8 is divided by 19. 7 Let h(y) = y - 14. Let s be h(14). Let a = s + 27. What is the remainder when 49 is divided by a? 22 Let t(s) = -4*s - 4. Let i = 9 - -6. Calculate the remainder when i is divided by t(-3). 7 Let c = 1638 - 1607. What is the remainder when 77 is divided by c? 15 Let p = 4 - -2. Let v be 0*(-4 + 1)/3. Suppose v = -5*t + 9 + 1. Calculate the remainder when p is divided by t. 0 Let p(l) be the third derivative of -l**4/24 + l**3/6 - 2*l**2. Let k be p(-5). Calculate the remainder when 5 is divided by k/(-8)*(-16)/6. 1 Let g = 97 - 57. Suppose 0 = -2*q - 4*n + 24, 4*q - 5*q + 5*n = -19. Calculate the remainder when g is divided by q. 12 Let t = 154 + -128. What is the remainder when 151 is divided by t? 21 Suppose -2*v + 1 = 7. Let z be 0/(-2)*v/6. Suppose -2*n - 5*m + 209 = z, -4*m - 286 = -3*n - 6*m. What is the remainder when n is divided by 31? 30 Suppose 2*w + 4*i = 2092, -11*w + 6242 = -5*w - 5*i. Calculate the remainder when w is divided by 87. 85 Let r(l) = 14*l**2 - 53*l - 2. What is the remainder when 567 is divided by r(6)? 15 Let p = -518 - -526. Let t(l) = -l**2 + 12*l - 5. What is the remainder when t(9) is divided by p? 6 Let x = -29 - -40. Calculate the remainder when 10/(-1) + 4 + (41 - 16) is divided by x. 8 Suppose -s = 3*y - 0*s + 5, 15 = 3*y - 3*s. Suppose -m - 154 = -3*i - y*m, -4*i + 187 = -5*m. What is the remainder when i is divided by 27? 26 Let r = 36 + 70. What is the remainder when r is divided by 22? 18 Suppose 32 = 3*q - 91. What is the remainder when q is divided by 25? 16 Suppose -3*z - 2*n = -6*n - 750, -5*z + 1250 = -2*n. What is the remainder when z is divided by 18? 16 Let s(o) = 3*o**2 - 9*o. Let f be s(3). Let v(r) = -r**3 + 4*r**2 - r + 2. Calculate the remainder when 20 is divided by v(f). 0 Let k = -36 - -68. Let v = 18 + -9. What is the remainder when (k - -1) + (-1)/((-2)/2) is divided by v? 7 Let t = 1973 - 1782. Calculate the remainder when t is divided by 28. 23 Suppose q + 4*q = 175. Let c = 235 + -222. Calculate the remainder when q is divided by c. 9 Let o(c) = c + 9. Let g be o(-7). Suppose -5*n = -d + g*d + 23, 4*n + 16 = -2*d. Calculate the remainder when (d/1 + 1)/1 is divided by 3. 0 Let g = 279 + -196. Let t = 8 + g. Calculate the remainder when t is divided by 23. 22 What is the remainder when 748 is divided by (2/(-4))/(-4*1/240)? 28 Suppose 0 = 2*b - 4*m - 0 - 4, -3*m = 4*b - 8. Calculate the remainder when b is divided by 2. 0 Let f = 2 - 1. Suppose 5*n + v = 6, 73*n - 68*n + 5*v - 10 = 0. Calculate the remainder when f is divided by n. 0 Suppose 2*x + 4*v - 10 = x, -v = 3*x - 41. What is the remainder when 23 is divided by x? 9 Let m = 806 - 803. Suppose 3 = t - 4. Calculate the remainder when t is divided by m. 1 Calculate the remainder when 34 is divided by 66/2 - (17 - 12). 6 Suppose c - 55 - 3 = -3*u, -4*c = 4*u - 64. Let m(r) = -3*r**2 + 143*r - 56. Calculate the remainder when m(47) is divided by u. 17 Let f(j) = -j**2 + 12*j - 3. Suppose 2 - 13 = -q. Calculate the remainder when f(q) is divided by 3. 2 What is the remainder when (-2789)/(-4) - 20/80 is divided by 4? 1 Let v(h) = 3*h**2 - 1. Let y be v(-1). Suppose 8 = -y*s + 44. What is the remainder when 9 is divided by 58/s - 4/18? 0 Let z = -11 + 15. Suppose -z*t = t - 10. Calculate the remainder when 33 is divided by (-18 + 0)*(1 - t). 15 Let v(u) = 34*u**2 - 1. Suppose -4*t = -5*c + 41, 0 = 3*c - 6*c + 15. What is the remainder when v(-1) is divided by (-9)/4*16/t? 6 Suppose -5*h - 2*y + 1 = -16, -21 = -5*h - y. Let l = 28 + h. Calculate the remainder when l is divided by 18. 15 Suppose 3*q + 0*q - 21 = 0. Suppose -7 = -5*d + 3. Suppose -8*k = -d*k - 156. Calculate the remainder when k is divided by q. 5 Let w(f) = 2*f**2 - 10*f - 8. Let m be w(6). Suppose -m = -2*u + 6*u, -u = x - 117. Suppose -x = -4*s + 66. What is the remainder when s is divided by 12? 10 Let i be -1 - (-1)/1 - 24. Let m = 96 + i. What is the remainder when m is divided by 38? 34 Let s(l) = -3*l**2 + 5*l - 6. Let n(g) = -4*g**2 + 4*g - 6. Let v(f) = -3*n(f) + 2*s(f). What is the remainder when v(5) is divided by 21? 20 Suppose -8*m + 6090 + 4374 = 0. What is the remainder when m is divided by 23? 20 Suppose 5*v - 1295 = -a, -5*a = -20*v + 23*v - 777. Calculate the remainder when v is divided by 22. 17 Let j = -27 + 26. Let s = -13 + j. Let v = 21 + s. Calculate the remainder when 19 is divided by v. 5 Suppose 0 = 4*n + 4*w - 148, 7*n - 4*w + 37 = 8*n. Let j = n - 29. What is the remainder when 17 is divided by j? 1 Suppose 2*z + 5*l - 60 = -3*z, z - 12 = -2*l. Let y = 26 - -17. What is the remainder when y is divided by z? 7 Suppose 34*q - 30 = 29*q. Suppose 0 = -4*b - 3*l + 83, 75 = q*b - 2*b - 5*l. Calculate the remainder when b is divided by 11. 9 Suppose 0 = t - 5 - 4. Let l = 34 + -32. Suppose -3*v = l*v - 75. What is the remainder when v is divided by t? 6 Let l(y) = y**2 - 5*y + 7. Let g be l(6). Let n = g - 13. Suppose n = 2*t + 2*k - 42, t - 4*t - 4*k + 65 = 0. What is the remainder when t is divided by 4? 3 Let r(n) = -n**3 + 9*n**2 + 15*n - 4. Suppose 6*t - 110 = -38. Calculate the remainder when r(10) is divided by t. 10 Suppose g - 20 = -4*g. Let w = 28 + g. Suppose 5*m - 58 = 2*y + y, 4*m - 47 = 3*y. What is the remainder when w is divided by m? 10 Suppose -f + 400 = f. Suppose -4*p + 0*p + f = 0. Let l = p - -1. What is the remainder when l is divided by 27? 24 Let u = -103 + 199. Suppose -2*c = c - u. Let t = 5339 - 5245. What is the remainder when t is divided by c? 30 Suppose -2*n + 303 = 5*j, -5*j + 463 = 3*n - 6*j. What is the remainder when 766 is divided by n? 150 Suppose -x + 2019 = 26*s - 21*s, 3*x - 12 = 0. Calculate the remainder when s is divided by 132. 7 Let h be (-266)/4 + 27/18. Let u = h + 92. What is the remainder when 80 is divided by u? 26 What is the remainder when 85 is divided by ((6 - 9) + 3)/2 - -21? 1 Let f(w) = 26*w**2 - 12*w - 27. Calculate the remainder when f(-2) is divided by 21. 17 Suppose -3*v - 1 = -5*n, -3*v = 4*n + n - 19. Suppose -10 = -v*h + 5, -2*i + 3*h + 69 = 0. Calculate the remainder when i is divided by 24. 18 Suppose r - 676 = -4*v, -5*r + 3*r + 1316 = -v. Calculate the remainder when r is divided by 219. 3 Let g = 385 + -357. Calculate the remainder when g is divided by 15. 13 Let d(t) = t**3 + 18*t**2 + 5. What is the remainder when 12 is divided by d(-18)? 2 Let j = 20 - -10. Let u = 111 - 109. Let b(t) = 16*t**2 - 7*t + 8. What is the remainder when b(u) is divided by j? 28 Let y(w) = 167*w - 104. What is the remainder when y(2) is divided by 13? 9 Suppose -4*b - 3*c + 2787 = 0, 4*b + 4*c = -0*c + 2792. Suppose 0 = -9*a + 72 + b. Calculate the remainder when a is divided by 43. 42 Let y = 15 + -12. Let b = 5 + y. Let a(u) = 3*u - 11. What is the remainder when 51 is divided by a(b)? 12 Let r(o) = -3*o + 14 + 4*o - 6. Let j be r(0). Calculate the remainder when (-38)/(-4)*16/j is divided by 10. 9 Calculate the remainder when 165 is divided by 2 + 7/7*32. 29 Calculate the remainder when 85 + 0/(-5) - 0 is divided by 11. 8 Let b be (-3 + 1)/(-2 + 1). Suppose 0*t - b = -t. Suppose 0 = t*x + x - 21. What is the remainder when 20 is divided by x? 6 Suppose 0 = 23*u - 22*u - 13. What is the remainder when 31 is divided by u? 5 Let q be ((-58)/3)/(4/6). Let l = 40 + q. What is the remainder when l is divided by 4? 3 Suppose -243 - 297 = -15*j. What is the remainder when j is divided by 8? 4 Let f(t) = 2*t**2 + 65*t + 793. Calculate the remainder when f(-42) is divided by 8. 7 Let h = 11 - 3. Let b = h - 1. Calculate the remainder when 13 is divided by b. 6 Let h(d) = -17*d - 108. Let p be h(-6). Let w be (-14)/8 + 1/(-4). What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
3702/21. Find o, given that 4*o - u*o**2 + 4/3 = 0. -2/7, 2 Let y(z) be the third derivative of z**5/12 - 5*z**4/4 - 40*z**3/3 - z**2 + 5*z. Factor y(o). 5*(o - 8)*(o + 2) Determine x so that 57/2*x**2 - 3/4*x**5 + 0*x**4 + 99/4*x + 15/2 + 12*x**3 = 0. -2, -1, 5 Suppose 0 = -i - 3*g, 2*g + 2*g = 5*i - 57. Suppose -4*h + 5*y + 9 = -3, -3*h + y + i = 0. Factor -1/3 - 1/6*m**h + 5/6*m + 1/6*m**4 - 1/2*m**2. (m - 1)**3*(m + 2)/6 Let p = 3636/7 + -3630/7. Factor -6/7*s**3 + 0 - 2/7*s - p*s**2 - 2/7*s**4. -2*s*(s + 1)**3/7 Let f(p) be the first derivative of -p**4/12 - 7*p**3/9 - 7*p**2/3 - 8*p/3 - 128. Factor f(x). -(x + 1)*(x + 2)*(x + 4)/3 What is f in 0*f + 3/2*f**4 + 0 - 3/4*f**5 + 57/4*f**3 - 15*f**2 = 0? -4, 0, 1, 5 Let v(z) = -z**4 + 2*z**3 + z + 6. Let k(j) = -25*j**3 + 45*j**2 - 10*j - 120. Let c(b) = -k(b) - 20*v(b). Factor c(f). 5*f*(f - 2)*(f + 1)*(4*f + 1) Let o = 4 - 141. Let a = o - -275/2. Let 1/2 + n**3 + 0*n**2 - a*n**4 - n = 0. Calculate n. -1, 1 Let x(l) be the first derivative of -3*l**3 + 3*l**2 + 1/2*l**4 - 1 + 0*l - 1/30*l**5. Let u(t) be the second derivative of x(t). Find q, given that u(q) = 0. 3 Let b(o) be the second derivative of -o**5/70 + 2*o**4 - 84*o**3 - 168*o. Factor b(i). -2*i*(i - 42)**2/7 Suppose -18/5*m**4 + 0 + 3/5*m**5 - 6*m**2 + 36/5*m**3 + 9/5*m = 0. Calculate m. 0, 1, 3 Let d(c) be the second derivative of c**8/420 - c**6/45 + c**4/6 - 53*c**3/6 + 3*c. Let z(y) be the second derivative of d(y). Factor z(w). 4*(w - 1)**2*(w + 1)**2 Suppose 3*h - 5 = 13. Let u(l) = -l**3 + l**2 + l - 1. Let g(w) = 2*w**3 - 4*w**2 - w + 3. Let i(d) = h*u(d) + 2*g(d). Factor i(t). -2*t*(t - 1)*(t + 2) Factor -9/4*p - 5/2 + 1/4*p**2. (p - 10)*(p + 1)/4 Suppose -15 = -4*o + 1. Let -14*i**2 + 2*i - 3*i**3 + o*i + 11*i**2 = 0. Calculate i. -2, 0, 1 Suppose b = -w - 4 + 12, -3*b + 6 = 0. Let 6*u**3 + 8*u**2 + w*u**3 + 2*u**3 - 10*u**3 = 0. Calculate u. -2, 0 Suppose -5*w = k - 54, 45 + 17 = 5*w + 3*k. Let v be (-4)/w + (-180)/(-75). Factor 11*z**3 - 8*z**v - 4*z**4 + 5*z**3 - 4*z**3. -4*z**2*(z - 2)*(z - 1) Let b(g) = -g**3 + 5*g**2 + 8*g + 1. Let j be b(6). Let d = -11 + j. Find x, given that 12 + 5*x + 5*x + 3*x**d + 2*x = 0. -2 Let c(t) be the second derivative of -4/3*t**3 - 6*t - 7/6*t**4 + 0 - 4/7*t**2. Solve c(f) = 0 for f. -2/7 Let z(o) be the first derivative of -7*o**6/2 + 114*o**5/5 - 213*o**4/4 + 52*o**3 - 18*o**2 + 82. Find g such that z(g) = 0. 0, 3/7, 1, 2 Suppose 46*o - 4 = 45*o. Determine q so that -3*q + 9/2*q**2 + 0 + 0*q**3 - 3/2*q**o = 0. -2, 0, 1 Let j be 2/(-8) + (46/(-8) - -6). Let x(k) be the second derivative of 1/3*k**3 - 4*k - 1/20*k**5 + 0*k**2 + 1/12*k**4 + j. Factor x(f). -f*(f - 2)*(f + 1) Let m(u) be the third derivative of 0 + 0*u**4 + 0*u + 0*u**3 + 3*u**2 + 1/840*u**6 + 0*u**5. Factor m(h). h**3/7 Let 1/6*k - 1/6*k**2 + 10/3 = 0. Calculate k. -4, 5 Solve 62/5*u**3 + 0 - 36/5*u**4 - 8/5*u + 24/5*u**2 = 0 for u. -1/2, 0, 2/9, 2 Let z(r) be the first derivative of 8/7*r + 5 + 2/21*r**3 + 4/7*r**2. Solve z(w) = 0 for w. -2 Suppose 3*f = 10*f. Find z such that 20 - 23 + f*z**4 - 12*z**4 - 36*z**3 - 39*z**2 - 18*z = 0. -1, -1/2 Let u = -5018 + 5020. Let o = -8/7 - -23/14. Determine n, given that 1 + 1/2*n - o*n**3 - n**u = 0. -2, -1, 1 Let y**2 - 3*y**2 - 63 + 123 + 2*y = 0. What is y? -5, 6 Let u(m) be the third derivative of 3*m**7/70 - 19*m**6/32 + 61*m**5/20 - 195*m**4/32 - 9*m**3/4 - 105*m**2. Determine a so that u(a) = 0. -1/12, 2, 3 Let y be 10/(-3)*3008/(-940). Find h such that -34/3*h**2 + 80/3*h + 4/3*h**3 - y = 0. 1/2, 4 Let o(y) be the second derivative of y**4/30 - 76*y**3/15 - 77*y**2/5 - 5*y - 48. Factor o(r). 2*(r - 77)*(r + 1)/5 Let h = 108/427 + 2/61. Let j = 49 + -47. Let h*u - 2/7*u**3 + 0 + 0*u**j = 0. Calculate u. -1, 0, 1 Let q = 1208/2005 + -1/401. Find t such that 0 - q*t**2 - 6/5*t = 0. -2, 0 Let u(k) be the second derivative of -k**4/12 - 98*k**3/3 - 4802*k**2 - 254*k. Factor u(i). -(i + 98)**2 Let t(v) be the first derivative of -3*v**3 - 7*v**2/2 + 2*v + 69. Factor t(y). -(y + 1)*(9*y - 2) Let y be -4*(4 + -4 + -2). Let f be ((-2)/y)/(38/16 + -3). Let 4/5*m**2 - 2/5 - f*m = 0. What is m? -1/2, 1 Let b(o) be the first derivative of -4*o**6/105 - 9*o**5/70 - o**4/7 - o**3/21 + 31*o + 29. Let d(a) be the first derivative of b(a). Find k such that d(k) = 0. -1, -1/4, 0 Let y(q) = q**3 - 14*q**2 + 2*q - 19. Let i be y(14). Suppose -12*t**2 + 6 + 6*t**4 - i*t**3 + 3*t**3 - 10 + 10 + 3*t + 3*t**5 = 0. Calculate t. -2, -1, 1 Suppose -2 = -w - 0. Let 72*p - 18*p - 28*p**w + 4*p + 18*p + 24 = 0. Calculate p. -2/7, 3 Solve -3/2*k**5 + 0*k - 15/2*k**3 + 0 + 0*k**2 + 9*k**4 = 0 for k. 0, 1, 5 Suppose 2*a = 3*h + a - 9, 5*a = h - 3. Factor 0*v + 8 - 2 - 6*v + 3*v**2 - h*v. 3*(v - 2)*(v - 1) Let u(h) = -4*h**3 - 14*h**2 - 7*h + 3. Let d(q) = -7*q**3 - 27*q**2 - 15*q + 5. Let c(k) = 3*d(k) - 5*u(k). Factor c(f). -f*(f + 1)*(f + 10) Let b be (-7)/21 - 154/(-21). Let q(n) be the second derivative of 0*n**4 + 0 + 0*n**2 - 1/50*n**5 + 1/15*n**3 - b*n. What is s in q(s) = 0? -1, 0, 1 Suppose -2*r + 65 = -c + r, -2*c - 5*r = 185. Let q = c - -82. Solve 1/2*j**q + 0 + 3/4*j**3 - 1/4*j = 0. -1, 0, 1/3 Let t = -9186 - -9186. Find y, given that 16/5*y + t + 4/5*y**2 = 0. -4, 0 Let s be 0 - -3*4/(-4). Let x be (9/s)/((-6)/16). Factor 4 - x*b - 3 + 3 + 4*b**2. 4*(b - 1)**2 Find w such that -39*w - 9*w**2 + 24200 - 17*w**2 + 47*w**2 - 19*w**2 - 401*w = 0. 110 Let i = -1208 - -1210. Factor -2/9*g**i - 44/9*g - 242/9. -2*(g + 11)**2/9 Let t be 12/(-70)*240/(-18). Factor -t*f**2 + 4/7*f**4 - 4/7*f**3 - 4/7 - 2*f + 2/7*f**5. 2*(f - 2)*(f + 1)**4/7 Let k(g) be the third derivative of 1/840*g**8 + 11/300*g**6 + 0*g - 1/75*g**5 + 8/15*g**3 + 0 - 2/175*g**7 - 1/5*g**4 - 50*g**2. Factor k(b). 2*(b - 2)**3*(b - 1)*(b + 1)/5 Let b(j) be the first derivative of 2*j**6/3 - 8*j**5 + 17*j**4 - 32*j**3/3 + 328. Find n, given that b(n) = 0. 0, 1, 8 Solve 0*m + 1/4*m**3 - 3/4*m**2 + 1 = 0 for m. -1, 2 Let n(b) be the second derivative of 5*b**7/42 - 13*b**6/6 + 12*b**5 - 85*b**4/3 + 80*b**3/3 - 187*b. What is j in n(j) = 0? 0, 1, 2, 8 Let b(f) be the second derivative of -f**7/2520 - f**6/720 - f**4/2 - 2*f. Let j(x) be the third derivative of b(x). Determine w, given that j(w) = 0. -1, 0 Let w(d) be the third derivative of d**8/1008 - 2*d**7/315 - d**6/30 + 8*d**5/45 + 8*d**4/9 - 474*d**2. Solve w(q) = 0 for q. -2, 0, 4 Suppose 5*u = u + 4*y, 0 = -2*u + 4*y - 8. Solve -18*q**3 - 19*q**3 + 2*q**2 + 43*q**3 - 8*q**u = 0 for q. -1/4, 0, 1 Let z = 439808/483813 - -2/43983. Factor 6/11*x - z*x**2 + 4/11. -2*(x - 1)*(5*x + 2)/11 Let k(c) = -c**2 - 36*c - 201. Let l be k(-7). Factor -5/2*s + 5/2*s**3 - 1/2*s**l + 3/2*s**4 - 1. (s - 1)*(s + 1)**2*(3*s + 2)/2 Let m(f) = -f**3 - 3*f**2 - 4*f - 4. Let j be m(-2). Suppose j = -23*i + 24*i - 4. Factor -y + 26*y**5 - 25*y**5 - 3*y**i + y. y**4*(y - 3) Let g = 10205 - 10205. Solve g + 16/15*n**3 + 2/15*n**2 + 32/15*n**4 + 0*n = 0. -1/4, 0 Let m(q) be the first derivative of -q**4/2 - 10*q**3/3 - 2*q**2 + 16*q - 246. Determine f, given that m(f) = 0. -4, -2, 1 Let t(v) = -18*v**4 - 44*v**3 - 64*v**2 + 44*v + 26. Let q(r) = -4*r**4 - 9*r**3 - 13*r**2 + 9*r + 5. Let i(y) = -28*q(y) + 6*t(y). Factor i(f). 4*(f - 4)*(f - 1)*(f + 1)**2 Suppose -2*o - 2*o = -12, -1 = -x - o. Let h be 3/(-3)*(x + 0 - -2). Factor 2/3*c**2 + 2/3*c**3 + 0 + h*c. 2*c**2*(c + 1)/3 Let m(s) be the second derivative of -1/2*s**5 - 19/3*s**3 + 0 - 6*s**2 + 19*s - 3*s**4. What is u in m(u) = 0? -2, -1, -3/5 Let f be ((-10)/6)/(1/(-3)). Suppose -324*s + f*s**2 + 349*s + 19 + 1 = 0. What is s? -4, -1 Let s = -128 + 177. Let l be (10 - 3)*14/s. Solve 0 + 0*n + 4/5*n**l = 0. 0 Let y(v) = v**3 + v**2 - v - 1. Let m be y(-1). Suppose 4*s = -4*b - 8, m = -0*s - 2*s + 3*b + 16. Factor 8*a**3 - 5*a**2 - 5*a**2 + 5*a + 3*a - 4*a - s*a**4. -2*a*(a - 2)*(a - 1)**2 Let d(y) be the first derivative of -y**5/25 + y**4/20 + 4*y**3/15 - 2*y**2/5 - 111. Factor d(o). -o*(o - 2)*(o - 1)*(o + 2)/5 Let s(v) = -3*v**2 - 2*v - 1. Let g(o) = 11*o**2 + 434*o + 22901. Let h(m) = g(m) + 3*s(m). Solve h(b) = 0. -107 Let h = -14851 + 133703/9. Factor 4/9*v**2 - h + 40/9*v. 4*(v - 1)*(v + 11)/9 Let p = 27/22 + -155/198. Let d(b) be the firs
{ "pile_set_name": "DM Mathematics" }
first derivative of -x**2/2 - 1. Suppose 2*s + 2*m - 19 = -3, s - 4*m = -17. Calculate s*q(n) - b(n). 2*n**3 - n**2 + 2*n Let u(m) = -2*m**3 - 5*m**2 + 5*m - 2. Let y(a) = -a**3 - a**2 + a. Let k(x) = -x + 4. Let b be k(5). Determine b*u(w) + 5*y(w). -3*w**3 + 2 Suppose 4*i + 14 = r, 6*r - 5*i - 34 = 2*r. Let u(k) = -1. Let d(c) = -c**2 + 3. Calculate r*u(n) + 2*d(n). -2*n**2 Let b(u) = u**3 + u**2 + 1. Let i(k) = 105*k**3 + 90*k**2 + 90. What is 90*b(p) - i(p)? -15*p**3 Suppose n = -1 + 3. Suppose 2 + n = -2*y. Let r(a) = -a**2 - a + 4. Let q(p) = 2*p**2 + 3*p - 9. What is y*q(h) - 5*r(h)? h**2 - h - 2 Let k be 11/13 - 1/((-65)/10). Let a(r) = 1. Let n(g) be the first derivative of -g**2/2 - g - 1. Determine k*a(f) + n(f). -f Let k(u) = 6*u**2 - 14*u + 8. Let n(x) = -4*x**2 + 9*x - 5. Let o(v) = v**2 - 5*v - 4. Let l be o(6). Suppose -2*p - l*p = 32. Give p*n(c) - 5*k(c). 2*c**2 - 2*c Let c(b) = -5*b + 5*b**2 + 2*b - b. Let d(f) be the second derivative of 7*f**4/6 - 11*f**3/6 - 6*f. Give 11*c(y) - 4*d(y). -y**2 Let v(g) = -6*g**3 + 4*g + 4. Let s(k) = 5*k**3 - 3*k - 3. Suppose 5*d = 3 - 18. Give d*v(y) - 4*s(y). -2*y**3 Let m(f) = -f**2 + 3*f + 4. Suppose -3*q - 3*q - 18 = 0. Let y(x) = x**2 - 5*x - 7. Determine q*y(t) - 5*m(t). 2*t**2 + 1 Let s(o) = -6*o**2 - 21*o + 11. Let y(a) = -a**2 - 4*a + 2. Give 4*s(z) - 22*y(z). -2*z**2 + 4*z Let j(q) = q + 1. Let m(p) = -8*p + 2. Calculate 3*j(u) - m(u). 11*u + 1 Let r(h) = h + 7. Let k(y) = 1. Let c(j) = j + 8. Let v(s) = -c(s) + 2*k(s). Give 5*r(z) + 6*v(z). -z - 1 Let h(q) = -9*q - 5. Let a(c) = 4*c + 8. Let o(m) = 1. Let i(y) = -a(y) + 6*o(y). Let g = -2 + 5. Determine g*h(s) - 7*i(s). s - 1 Let i(z) = 3748*z**2 + z - 1 + 2*z**3 - 3*z**3 - 3748*z**2. Let o(q) = 2*q**3 - 3*q + 5. Let y be (-6)/27 - (-29)/9. What is y*i(g) + o(g)? -g**3 + 2 Let q(j) = -10*j + 9. Let o(c) = c - 1. Determine -24*o(a) - 3*q(a). 6*a - 3 Let n(o) be the second derivative of o**3/6 + 14*o. Let c(q) = 9*q + 1. Calculate -c(g) + 6*n(g). -3*g - 1 Let o(x) = 15*x**3 - 7*x**2 + 7*x + 7. Suppose 4*n - 4 - 8 = 0. Let p(u) = 7*u**3 - 3*u**2 + 3*u + 3. Determine n*o(j) - 7*p(j). -4*j**3 Let z(f) = 7*f - 2. Let u(v) = v + 1. Determine u(r) + z(r). 8*r - 1 Let w(y) = -2*y - 10. Let x(i) = -1 + 2 - 1 + 1. What is -w(q) - 12*x(q)? 2*q - 2 Let d(b) = -7*b**3 - 5*b**2 + 7*b + 3. Let c(m) = m**3 + m**2 - m - 1. Suppose 2*y - 19 = -1. Let x(h) = h**2 - 8*h - 8. Let a be x(y). What is a*d(l) + 5*c(l)? -2*l**3 + 2*l - 2 Let l(x) = 6*x + 5. Let p(h) = -h + 1. What is 6*l(y) - 30*p(y)? 66*y Let c(y) = -30*y**3 + 5*y**2 + 6*y. Let s(u) = 31*u**3 - 6*u**2 - 7*u. Calculate -7*c(o) - 6*s(o). 24*o**3 + o**2 Let g(p) = 1. Let i(u) = -u + 9. Let c(x) = -5*g(x) + i(x). Let r(z) = -2*z + 11. Give 11*c(a) - 4*r(a). -3*a Let j(c) = -6*c**2 + 3. Let a(h) = 31*h**2 - 16. Suppose 0 = -8*q + 3 + 13. Give q*a(r) + 11*j(r). -4*r**2 + 1 Let h(b) = -14*b - 11. Let k(s) = -s - 1. What is -6*h(q) + 66*k(q)? 18*q Let u be (1 + -2)*(-1 - 5). Suppose -t - u = 2*t. Let a(g) = -g - 3. Let b(l) = -l - 2. What is t*a(z) + 3*b(z)? -z Let g(i) = 6*i**3 + 3*i + 3. Let a(v) = 13*v**3 + 5*v + 5. Determine -3*a(x) + 5*g(x). -9*x**3 Let u(x) = 7*x**3 - 2*x**2 + 4*x - 4. Let c(n) = 7*n**3 - n**2 + 3*n - 3. Calculate 4*c(r) - 3*u(r). 7*r**3 + 2*r**2 Let v(h) = h**2 + 11*h. Let y(z) be the first derivative of -z**2 + 16. What is -2*v(g) - 11*y(g)? -2*g**2 Let s(o) = -3*o**3 + 0*o**2 + o**3 - 4*o**2. Let t(l) = l**3 + 3*l**2. Let x = 835 - 829. What is x*t(c) + 4*s(c)? -2*c**3 + 2*c**2 Let h(q) = 2*q**2 - 2*q - 2. Let l(u) = u**3 + 3*u**2 - 3*u - 3. Let a = 2 - 3. Let s be (7/(-21))/(a/9). Suppose j - 5 = -s. Calculate j*l(t) - 3*h(t). 2*t**3 Let p(f) = -2*f + 9. Let n(q) = -q + 4. Give -5*n(j) + 3*p(j). -j + 7 Let w(k) = 2*k**3 - k**2 + 6*k. Suppose 2*u - 12 + 0 = 0. Let x(q) = -17*q - 2*q**2 + 5*q**2 - 7*q**3 + q**3. Let o = -24 - -41. What is o*w(i) + u*x(i)? -2*i**3 + i**2 Let r(b) = 4. Let o(f) = f - 5. What is -4*o(q) - 5*r(q)? -4*q Let j(a) = -3*a**2 - 6*a - 1. Let v(t) = t. What is -j(u) - 4*v(u)? 3*u**2 + 2*u + 1 Let z(o) = -o**3 + o**2 - o + 1. Let t(m) = -5*m**3 + 2*m**2 - 4*m + 4. Let p(u) = -5 + 4*u - 5*u + 7 + 0*u. Let i be p(6). What is i*z(j) + t(j)? -j**3 - 2*j**2 Let m(j) = -15*j**2 + 19. Let d be (1/2)/((-10)/100). Let o(h) = 10*h**2 - 13. Let a(q) = d*m(q) - 8*o(q). Let g(w) = 2*w**2 - 4. What is -3*a(t) - 7*g(t)? t**2 + 1 Let c(d) = 2*d**3 - 11*d**2 + 6*d - 1. Let z be c(5). Let p(y) = 3*y**2 + 4*y - 6. Let g(n) = 2*n**2 + 3*n - 5. Determine z*g(t) - 3*p(t). -t**2 - 2 Let i(o) = -3*o**2 + 13*o + 7. Let l be 9/6*8/6. Let b(x) = 8*x - x**2 + 2*x**2 - 4*x + 2 - l*x**2. Calculate 7*b(m) - 2*i(m). -m**2 + 2*m Let v be (-10)/15*(-9)/2. Let d(s) = 1 - s + 1 + 3*s + s**2 - s. Suppose 0 = 2*w + w + 12. Let c(b) = b**2 + b + 2. What is v*c(a) + w*d(a)? -a**2 - a - 2 Suppose 0 = 2*o - 23 + 9. Let k(f) = -2*f**3 - 3*f**2 + 3. Let v = 7 + -10. Let r(d) = -5*d**3 - 7*d**2 + 7. Give o*k(m) + v*r(m). m**3 Let a(u) = -2*u**3 - 5 - 11*u**2 + 14*u**2 - 2*u**3. Let k(c) = -3*c**3 + 2*c**2 - 4. What is 4*a(s) - 5*k(s)? -s**3 + 2*s**2 Suppose d = -d + 8. Suppose -d*y - 20 = -0*y. Let w(z) = -z - 1. Let r(q) = -q**2 - 4*q - 5. Give y*w(l) + r(l). -l**2 + l Let m(j) be the third derivative of -j**6/120 - j**3/6 + 2*j**2. Let k(x) be the first derivative of -x**4/4 - x - 64. What is 3*k(v) - 2*m(v)? -v**3 - 1 Let m = 10 - 18. Let p(a) = -9*a**3 - 5*a - 3. Let j be -2 + (2 - 14)/4. Let d(o) = 14*o**3 + 8*o + 5. Calculate j*d(w) + m*p(w). 2*w**3 - 1 Suppose -2*z - 4*p + 2 = 0, -1 = 5*z + 3*p + 1. Let r(o) = -o**3 - o**2 + o. Let k(c) = 2*c**3 + 5*c**2 - 5*c. Calculate z*k(n) - 3*r(n). n**3 - 2*n**2 + 2*n Let a = -13 + 19. Let s = a + -4. Let o(p) = p**2 - p + 1. Let j(h) = 2*h**3 + 2*h**2 - 2*h + 2. Calculate s*o(t) - j(t). -2*t**3 Let m(n) = -7*n - 1. Let q(c) be the second derivative of 2/3*c**3 + 1/2*c**2 + c + 0. Determine 3*m(o) + 5*q(o). -o + 2 Let f(u) = -3*u**3 + 7*u**2 + 2*u. Let v(o) = 12*o**3 - 27*o**2 - 9*o. Let y(b) = 9*f(b) + 2*v(b). Let m(s) = 2*s**3 - 5*s**2. Calculate 9*m(t) + 5*y(t). 3*t**3 Let g(l) = 7*l + 7. Suppose 0*c = c + 4*o - 6, -18 = -3*c + 3*o. Let i be (-1)/2*(2 + 0). Let k be (i - (-4)/3)*3. Let j(u) = -u - 1. Determine c*j(z) + k*g(z). z + 1 Let g(b) = -3*b + 31. Let o(w) = -2*w + 21. Calculate -5*g(m) + 7*o(m). m - 8 Let o(h) be the second derivative of 0*h**4 + 1/6*h**3 + 0*h**2 - h + 1/10*h**5 + 0. Let j = -14 + 17. Let t(q) = 3*q**3 + q. Calculate j*t(i) - 4*o(i). i**3 - i Let t(z) = z**2 - z - 1. Let y(b) = -b**3 - 9*b**2 + 3*b + 10. Let m(d) = -3*t(d) - y(d). Let n(f) = -3*f**2 + 3. Give -2*m(a) - 5*n(a). -2*a**3 + 3*a**2 - 1 Let c(m) = -2*m**3 - m**2 - 3*m. Let v(l) = 9*l**3 + 7*l**2 + 2*l. Let b(x) = -5*x**3 - 4*x**2 - x. Let k(s) = -7*b(s) - 4*v(s). Give 2*c(a) - 6*k(a). 2*a**3 - 2*a**2 Let k(b) be the second derivative of 17*b**3/3 - 5*b**2 + 5*b. Let y(r) = 7*r - 2. What is 3*k(m) - 14*y(m)? 4*m - 2 Let a(w) = w - 1. Let f(x) = -10*x + 8. Let g(i) = -i**2 - 6. Let c(m) = -3*m**2 - m - 12. Let n(t) = 2*c(t) - 5*g(t). Let d be n(4). Determine d*a(v) - 2*f(v). 2*v + 2 Let o(r) = -7*r**2 - r + 3. Let z(j) = -7*j**2 + 2. Give -2*o(v) + 3*z(v). -7*v**2 + 2*v Let x(k) = -8*k + 4. Let d(n) = 23*n - 12. Calculate 3*d(c) + 8*x(c). 5*c - 4 Let c(o) be the first derivative of -1/3*o**3 + 0*o**2 + o + 4. Let r(h) = -8*h**2 + 6. What is 6*c(z) - r(z)? 2*z**2 Let b(l) = -4*l**3 + 4*l**2 - 6*l - 4. Let c(m) = m**2 - m - 1. Determine -b(z) + 6*c(z). 4*z**3 + 2*z**2 - 2 Let b(j) = -3 + 7 + 4*j + 0. Let s = 1 + -10. Let n(p) = p + 1. Determine s*n(z) + 2*b(z). -z - 1 Suppose 8*f = 3*f + 50. Let i(u) = -f*u - 5*u + 10*u. Let c(j) = -9*j + 1. Give 3*c(y) - 5*i(y). -2*y + 3 Let n(l) = 3*l. Let j(a) = 14*a - 5. Let t(p) = 7*p - 2. Let d(o) = 3*j(o) - 7*t(o). Let u(q) = -4*q**3 - q. Let c be u(1). Calculate c*n(r) - 2*d(r). -r + 2 Let c(z) be the second derivative of z**3/3 + 6*z**2 - 14*z. Let g(m) = -5. Let f(l) = 6. Let t(d) = 4*f(d) + 5*g(d). Give c(j) + 10*t(j). 2*j + 2 Let c(j) = -14*j**2 - 8*j + 11. Let o(b) = -3 + b**2 - 1 + 3*b + 3*b**2 + b**2. Let m(u) = -u**3 - 2*u**2 + u - 2. Let g be m(-3). Determine g*c(h) + 11*o(h). -h**2 + h Let w(a) = 12 - 59*a
{ "pile_set_name": "DM Mathematics" }
Let s(g) = 10*g**2 + 1942 - 9*g**2 - 1942. Let w(d) = -2*d**3 + 3*d. Calculate -2*s(a) - w(a). 2*a**3 - 2*a**2 - 3*a Let u(k) = 17*k**2 + 5*k - 2. Let m(y) = -27*y**2 - 8*y + 3. Let b(z) = 5*m(z) + 8*u(z). Let p(w) = -15*w**2 + 10. Give 22*b(d) + 2*p(d). -8*d**2 - 2 Let m = -91 + 77. Let v(x) = -x**2. Let q(u) = 2*u**2. Give m*v(a) - 5*q(a). 4*a**2 Let p(c) = -5*c**3 - 10*c**2. Suppose 2*k = -5*i - 2, -2*k = -7*i + 3*i + 20. Let f(x) = -x**3 - x**2. Determine k*f(h) + p(h). h**3 - 4*h**2 Suppose 0 = 4*k - 15 + 7. Let u(m) = 5*m**3 + m**2 - 3*m**2 - 3*m**2 + m**k - 4*m - 5. Let f(t) = -6*t**3 + 5*t**2 + 5*t + 6. Give -4*f(o) - 5*u(o). -o**3 + 1 Let w(t) = 4. Let h be (-4)/(-10)*(1 - -4). Let p(i) be the second derivative of 3/2*i**2 + 0 - 24*i - 1/6*i**3. Determine h*w(r) - 3*p(r). 3*r - 1 Let j(n) = -4*n**3 - 3*n**2 + 5*n + 1. Let o be -3 + (-4 - -6) + 2. Let u = 32 + -35. Let h(i) = -i**3 - i**2 + i. Give o*j(d) + u*h(d). -d**3 + 2*d + 1 Suppose -17 = -2*o + 3*g, -2*g + 213 = -5*o + 239. Let c(h) = 7*h**3 + 4*h - 4. Let a(k) = 3 + 4 - 6*k**3 - 3*k - 4. Give o*a(z) + 3*c(z). -3*z**3 Let r(o) = -3. Suppose 56*n - 4 = 55*n. Let j(l) be the third derivative of -l**4/24 + 2*l**3/3 - 3*l**2. Determine n*r(m) + 3*j(m). -3*m Let z(l) = l**2 + l - 1. Let u(w) = 6*w**2 + w**3 + 3*w**2 - 9 - 2*w**3 + 10*w. Let f = -44 - -26. Let r = -6733 + 6735. What is f*z(i) + r*u(i)? -2*i**3 + 2*i Let w(g) = -2*g + 7. Let u(m) be the third derivative of m**4/12 + m**3/6 + 8*m**2 + m. Let b(h) = h. Let n(p) = -3*b(p) + u(p). Determine 4*n(r) - w(r). -2*r - 3 Let o(s) be the third derivative of 13*s**4/24 + 7*s**3/6 - 62*s**2. Let b(i) = -3 + 0*i + i - 8*i + i. Give 9*b(f) + 4*o(f). -2*f + 1 Let h(v) = 31*v + 3. Let i(k) = -1. Give h(l) + 5*i(l). 31*l - 2 Let v(c) be the third derivative of -c**6/15 - c**3/6 + 27*c**2 + 2*c. Let l(x) = -x**3. Give -5*l(q) + v(q). -3*q**3 - 1 Let c(p) = -p**2 - p + 5. Let v(x) = 114*x**2 - 11*x + 30. Give -6*c(f) + v(f). 120*f**2 - 5*f Let l(u) = u + 28. Let o(t) = 6*t + 140. Determine 11*l(w) - 2*o(w). -w + 28 Let w(d) = -3*d**2 - 3. Let z(r) = -4*r + 25 - 2*r**2 + 4*r**2 - 23 + 3*r. Give -4*w(g) - 5*z(g). 2*g**2 + 5*g + 2 Let m(g) = 406*g + 6. Let l(t) = -81*t - 1. What is 16*l(n) + 3*m(n)? -78*n + 2 Let y(o) = 13*o + 21. Let n(r) = r - 2. Give 4*n(v) + y(v). 17*v + 13 Let r(y) = 46*y**2 - 2*y + 3. Let w(d) = -46*d**2 + 3*d - 4. Determine -4*r(t) - 3*w(t). -46*t**2 - t Let t(q) = 2*q - 5. Let u(d) = -4*d + 11. Let k(p) = 26*p + 92. Let g(z) = 9*z + 31. Let f(b) = -11*g(b) + 4*k(b). Let i be f(-6). Give i*u(w) - 7*t(w). -2*w + 2 Let g(i) = -597*i**2 + 4*i - 4. Let q(t) = -298*t**2 + 2*t - 2. Give 3*g(d) - 7*q(d). 295*d**2 - 2*d + 2 Let q(d) = -d**2 - 11 + 0 + 10. Let k(a) be the third derivative of a**5/30 + a**3/6 - a**2. Determine -k(n) - q(n). -n**2 Let k(z) = -5*z - 16. Let f(u) = 5*u + 17. What is -6*f(q) - 7*k(q)? 5*q + 10 Let u(q) = 17102*q. Let i(v) = 407*v. Determine 85*i(h) - 2*u(h). 391*h Let l(h) = 2*h + 25. Let o be l(-12). Suppose 2*f = 4*i + 7 - o, 4*f - 5*i = 0. Let p(s) = s + 3. Let g(m) = m + 4. Determine f*p(n) + 4*g(n). -n + 1 Let j(i) = -10*i + 1. Let v(t) = 15*t - 5 - 1 + 1 - 1 + 4. Determine -7*j(a) - 5*v(a). -5*a + 3 Let n(j) = -j. Let m(f) = -97*f + 21*f + 24*f + 26*f + 32*f. Let c = -5 - -3. Determine c*m(x) - 11*n(x). -x Let q(x) = -1. Let j(v) be the third derivative of v**4/24 - v**3/3 - 105*v**2. Determine -j(m) + q(m). -m + 1 Let p(s) = 13*s - 5. Let u = -2147 - -2132. Let j(t) = -6*t + 2. What is u*j(d) - 6*p(d)? 12*d Let m(c) = -6*c**2 - 45*c - 9. Let j(l) = -2*l**2 - 15*l - 3. What is 17*j(x) - 6*m(x)? 2*x**2 + 15*x + 3 Let w(x) = -10*x + 22. Let j be w(2). Let y(s) = -91*s**3 + 3*s**j + 96*s**3 - s - 2*s**2. Let k(c) = -4*c**3 - c**2 + c. Determine 4*k(o) + 3*y(o). -o**3 - o**2 + o Let t(c) = -6888*c**2 + 49. Let y(n) = -287*n**2 + 2. Give 2*t(m) - 49*y(m). 287*m**2 Let a be 6/(-2) + (3 - (-6 - 3)). Suppose 2*j = 4*l + a + 5, 4*j + 3*l + 5 = 0. Let o(f) = f + 1. Let q(u) = 1. Calculate j*q(c) - o(c). -c Let r(q) = q**2 + 1. Let k = -7 - -12. Let m be (k/(-2))/5*2. Let h(d) = -d**2 + d. Let u(y) = -y**2 - y - 4. Let x(n) = 2*h(n) + u(n). Give m*x(t) - 2*r(t). t**2 - t + 2 Let w(s) = 8*s + 11. Let t(p) = 4*p + 5. Give -9*t(q) + 4*w(q). -4*q - 1 Let t(y) = 132*y**3 + 4*y**2 - 4*y + 9. Let r(k) = -265*k**3 - 7*k**2 + 7*k - 16. What is -4*r(l) - 7*t(l)? 136*l**3 + 1 Let c(m) = 21*m**2 + 14*m + 14. Let v(o) = -4*o**2 - 15*o - 3. Let p(l) = 4*l**2 + 17*l + 3. Let i(t) = -6*p(t) - 7*v(t). What is 3*c(n) - 14*i(n)? 7*n**2 Let z(h) = -186*h**3 - h**2 - 2. Let m(l) = 372*l**3 + 2*l**2 + 5. What is -4*m(f) - 10*z(f)? 372*f**3 + 2*f**2 Suppose -11*i - 5*f - 13 = -14*i, -4*f = i - 10. Let u(k) = 6*k**3 + 2*k**2 - 2*k + 2. Let n(l) = -13*l**3 - 5*l**2 + 5*l - 5. What is i*n(y) + 15*u(y)? 12*y**3 Let b be ((-376)/(-24))/(-1 + 2/3). Let g = -54 - b. Let y(m) = 4*m**2 + 2*m - 1. Let u(t) = -2*t**2 - t. Determine g*u(w) - 3*y(w). 2*w**2 + w + 3 Let l(x) = -9*x**3 + 5*x + 6. Let z = 70 + -69. Let h(m) = -m**3 + m + 1. Let s be (2 - (-3)/(-4))*-4. Determine s*h(k) + z*l(k). -4*k**3 + 1 Let n(t) = -4*t. Let h(k) = 13*k + 154. Give h(m) + 4*n(m). -3*m + 154 Let n be (-30)/(-8) + 2/8. Let y(c) = 7 - 159*c**2 + 270*c**2 - 3*c**3 - 106*c**2. Let t(q) = q**3 - 3*q**2 - 4. Calculate n*y(z) + 7*t(z). -5*z**3 - z**2 Let u(m) = 47*m + 120. Let q(a) = -9*a - 24. Give 11*q(h) + 2*u(h). -5*h - 24 Let w(k) = -11*k + 6. Let o(v) be the third derivative of 0*v + 0 - 2/3*v**3 + 7/24*v**4 - 16*v**2. Give 8*o(t) + 5*w(t). t - 2 Let k(w) = 15*w**2 - 124*w - 21. Let s(g) = 3*g**2 - 25*g - 4. Give 2*k(j) - 11*s(j). -3*j**2 + 27*j + 2 Let s be ((-4)/6)/(20/(-90)). Let t(p) = 4*p - 1. Let m(r) = -4*r + 1. Let d(a) = 7*m(a) + 6*t(a). Let i(g) = -7*g + 2. What is s*i(q) - 5*d(q)? -q + 1 Let n(k) = -2*k**3 - 3*k**2 - 16. Let l(w) = w**3 + w**2 - 1. What is -3*l(y) - n(y)? -y**3 + 19 Let c(n) = -5*n**3 + 4*n**2 - 4. Let b = -36 - -70. Let o(u) = b + 11*u**2 - 14*u**3 + 33 - 78. Determine -11*c(y) + 4*o(y). -y**3 Let y(z) = -5*z**3 + 13*z**2 - 9*z + 5. Suppose -4 = -c + 5*t, 3*t + 12 = 3*c + 6*t. Let k(r) = r**3 - 3*r**2 + 2*r - 1. Give c*y(b) + 18*k(b). -2*b**3 - 2*b**2 + 2 Let k(z) = -1. Let b(q) = 4*q**2 + q - 9. Calculate b(l) - 6*k(l). 4*l**2 + l - 3 Let s(z) = -12*z. Suppose i - 3 = 0, 3*i + i + 213 = -5*q. Let n = q + 27. Let g(v) = v. What is n*g(l) - 2*s(l)? 6*l Let v = -380 - -385. Let n(o) = -o - 3. Let i(j) = -2. Give v*i(g) - 3*n(g). 3*g - 1 Suppose -2*f - 7 - 49 = -4*z, 0 = -2*f. Let n(r) = -r - 1. Let h(a) = -4*a - 2. Let q(y) = -2*h(y) + 4*n(y). Let k(l) = -13*l. Determine z*q(u) + 4*k(u). 4*u Let s(i) = 329 - 7*i - 329 + 2*i + 2*i. Let o(c) = 9*c. Let b = 3 + 8. Determine b*s(g) + 4*o(g). 3*g Let r(a) = -5*a - 2. Suppose 64*x + 81 = 91*x. Let k(g) = -20*g - 13. Let y(q) = -5*q - 3. Let d(f) = 2*k(f) - 9*y(f). Determine x*r(t) + 4*d(t). 5*t - 2 Let c(n) = 2*n**3 + 3*n + 2. Let r(j) = 2*j**3 + 2*j + 1. Let d(a) = 5*c(a) - 6*r(a). Let u(s) = -4*s**3 + 7*s + 7. What is 7*d(o) - 4*u(o)? 2*o**3 - 7*o Let r(y) = -2*y**3 - 4*y**2 + 4*y - 5. Let d(i) = -3*i**3 - 9*i**2 + 9*i - 11. Calculate 3*d(n) - 7*r(n). 5*n**3 + n**2 - n + 2 Let n(f) = f**3 - 2*f - 1. Let c = -58 - -56. Let q(s) = -s. Give c*n(p) + 4*q(p). -2*p**3 + 2 Let v(g) = 9*g**3 + 2*g**2 - 2*g + 2. Let w be ((-24)/(-20))/((-6)/45). Let c(o) = 35*o**3 + 9*o**2 - 9*o + 9. Determine w*v(z) + 2*c(z). -11*z**3 Let h(l) = -8*l**3 + 11*l**2 + 4*l + 2. Let k(n) = 15*n**3 - 21*n**2 - 7*n - 3. What is 11*h(x) + 6*k(x)? 2*x**3 - 5*x**2 + 2*x + 4 Suppose -2*j - 8 = -4*w, -3*j + 5*w + 3 = 12. Let s(h) = 3*h**2 - 5*h - 13. Let z(r) = -r + 3*r - 3 + r**2 - 3*r. Calculate j*s(k) - 9*z(k). -3*k**2 - k + 1 Let n(p) = -14*p - 2. Let y(o) = 26*o + 4. Calculate -11*n(w) - 6*y(w). -2*w - 2 Let l(t) = -6*t + 5. Let s(h) be the third derivative of -5*h**2 - h**3 + 0 + 7/24*h**4 + 0*h. Give 5*l(x) + 4*s(x). -2*x + 1 Let o(l) = 101*l**3 - 3*l**2 - 5*l + 3. Let c(k) = 102*k**3 - 4*k**2 - 6*k + 4. Determine 3*c(j) - 4*o(j). -98*j**3 + 2*j Let h(w) = -4*w**2 + 4*w + 12. Let m(o) = o**2 - o - 2. Calculate -h(t) - 2*m(t). 2*t**2 - 2*t - 8 Let h(i) = -2. Let x(j) = j - 15 + 9 + 5. Let v(k) = h(k) - 3*x(k).
{ "pile_set_name": "DM Mathematics" }
0/(-2) + (-2 - 2). Let k be -1*2/u*4. Suppose -5*h = -k*h. Solve h = y - 4 + 3 for y. 1 Let w = -69 - -71. Solve -w*a + 4 = 2 for a. 1 Let u be 545/20 + (-3)/(-4). Let j be (-2)/(-8) + u/16. Let b be ((-30)/(-4))/5*j. Solve 4 = b*o - 2*o for o. 4 Let x(o) = 3*o**2 - 6*o + 6. Let w be x(1). Solve 0 = -w*g - 0*g - 6 for g. -2 Let r(m) = -4*m. Let p = -3 + 7. Suppose -p = -0*q + q. Let i be r(q). Solve -3*f + i - 4 = 0 for f. 4 Suppose 4*n - 21 = c - 3, 0 = 5*n + 4*c - 33. Solve 0*q = n*q - 10 for q. 2 Let j = -81 - -87. Solve -j*k = -4*k - 2 for k. 1 Let w(f) = f**2 + 2*f + 8. Let c be w(0). Solve 0 = -4*u + c + 8 for u. 4 Let z be (-4)/(-8) + 2/4. Suppose -z + 11 = 4*h + 2*x, 7 = 3*h + 2*x. Solve 7 = h*y + 1 for y. 2 Let z(u) = 2*u**3 + 55*u**2 + 27*u + 16. Let b be z(-27). Let p = 2 + 1. Solve h = -p*h - b for h. -4 Let k = -6 - -10. Solve l + k = -3*l for l. -1 Suppose 0 = -3*n + 5*x + 15, -2*n = 2*x - 10. Solve 7 = n*l + 2 for l. 1 Let i(x) = -4*x. Let p = -11 + 10. Let f be i(p). Solve 3*k = -k - f for k. -1 Let d(x) = -10*x. Let z be d(-1). Let j = z - 3. Suppose j*r = 3*r + 12. Solve 1 = -b - r for b. -4 Suppose -w + 3 + 3 = 3*x, -2*w = 3*x - 3. Solve x*h - 2*h = -2 for h. -2 Suppose -2*g + 5 = -5. Suppose 5*k + 28 = 3. Let m be ((-4)/5)/(1/k). Solve -n - m*n - g = 0 for n. -1 Let x(z) = z**3 + 15*z**2 - 18*z - 31. Let t be x(-16). Solve -5*n = -t + 6 for n. -1 Let o be (0/(-3) + -1)*-3. Suppose 0 = 2*p + o*p - 15. Suppose p*t = -12, -3*t = 4*u - 8*t - 32. Solve g = -u*g + 12 for g. 3 Suppose 4*b = 3*b + 3. Suppose b*d - x = 2*x, -5*x = 0. Let g = 0 + 2. Solve d*j + g*j = -8 for j. -4 Suppose 0 = z - 0*z - 8. Let x be (z/(-6))/4*-12. Solve -8 - x = -3*i for i. 4 Let f(h) = h + 4. Let q be f(-2). Let w be (q - 10)*(-1)/2. Suppose -3*c = -4*v, -3*c + w*c - v = 0. Solve 3*x + 2*x + 25 = c for x. -5 Let f(x) = -11*x**3 - 2*x**2 - 2*x. Let w(z) = -5*z**3 - z**2 - z. Let s(y) = 6*f(y) - 13*w(y). Let i be s(2). Let n = i + 9. Solve -2*c - 20 = -n*c for c. 4 Let a(t) be the third derivative of -t**5/60 + 3*t**4/8 - 7*t**3/3 + 7*t**2. Let v be a(7). Let b = 3 - -2. Solve -b*z + z - 8 = v for z. -2 Let i(f) = 7*f - 1. Let g be i(1). Let n(c) = c**3 - 21*c**2 + 19*c + 20. Let m be n(20). Solve m = t + t - g for t. 3 Suppose -3*v + 25 = 2*v. Suppose -1 + v = w. Solve -15 = y - w*y for y. 5 Let z(k) be the first derivative of -2*k + 1/3*k**3 + 0*k**2 + 2. Let x be z(2). Solve -m - 9 = x*m for m. -3 Suppose -m - 9 + 1 = z, -2*z = 4*m + 12. Let u = 23 + z. Solve -u + 4 = 3*h for h. -3 Let c be (0 - 2) + 2*1. Suppose c = -0*d - 3*d + 2*j, -4*d + j = -5. Let y(a) = -a**3 + 4*a**2 + 3*a - 3. Let i be y(3). Solve 3*r + d*r = -i for r. -3 Let n(w) = w**2 + 7*w - 13. Let u be n(-9). Solve -u*m + 16 = -4 for m. 4 Let d = 14 - 10. Let y = 8 - d. Solve y*c - 4 = 6*c for c. -2 Let m = 35 + -25. Solve 2 = 4*d + m for d. -2 Suppose 2*y - 3 = y. Suppose -y*a = 3*x - 21, -4*x + 21 + 11 = 5*a. Suppose 0 = -4*z + 4*k + 8, -x*z - k + 5*k = -8. Solve z = 5*n + 14 + 11 for n. -5 Let v = -6 - -9. Solve v*a - 4 = a for a. 2 Suppose -3*r - r = -116. Suppose g = l - 0*l + 8, -3*l = -4*g + r. Let j be 2/(-1*l/3). Solve -a + 1 = -j for a. 3 Let l = -20 + 33. Suppose -16*n = -l*n - 12. Solve -n*c - c = -20 for c. 4 Let z(u) = u**2 + 3*u - 2. Let p be z(-2). Let s = p + 8. Solve -i - 1 = -s for i. 3 Suppose -3*k = -5*n - 6, 3*n - 1 = 8. Suppose 2*w - 3 = t, 0 = -3*w + 2*w + 5*t - 3. Let g = k + w. Solve 0 = 3*v - 0 - g for v. 3 Suppose 42 = 5*y - 18. Let l be (y/(-8))/(1/(-2)). Suppose -r = l*r - 12. Solve -r*f - 10 = 2*f for f. -2 Let l(z) = -z**2 - 4*z - 1. Let t be l(-3). Let o(k) = -2*k**2 + 2*k + 1. Let s be o(t). Let v = s + 3. Solve v = -5*d + 1 + 9 for d. 2 Let w = 11 - 9. Suppose w*y - 7*y + 15 = -5*b, -2*b = 2*y + 6. Solve y = -4*q + 10 + 6 for q. 4 Suppose 31*n - 19*n - 48 = 0. Solve -2 = -n*x + 2 for x. 1 Suppose 16 = -2*z - i + 5*i, 0 = 2*z - 5*i + 20. Solve z = 3*k - 2*k for k. 0 Let i = -14 + 17. Solve 0*x = i*x + 6 for x. -2 Let y(b) = 2*b**2 - 3*b - 4. Suppose -n = 5*j + 22, n + 2*n + 10 = -j. Let f be y(j). Suppose q - f = -3*q. Solve 8*r + q = 3*r for r. -2 Let f(t) = -2*t**3 - 26*t**2 + t + 13. Let x be f(-13). Solve -b - 2*b - 12 = x for b. -4 Suppose -4 = -3*t + 2. Let w be t + (3 - 1)*-1. Let d(q) = q**3 - 4*q**2 + 3*q + 1. Let z be d(3). Solve p - z = -w for p. 1 Let h(c) = -c**2 - 8*c + 5. Let w be h(-8). Suppose -4*z = 1 - w. Let v be 5*-1*z/(-1). Solve 40 = v*d + 15 for d. 5 Let r(z) = z**3 + 4*z**2 + 5. Let s be r(-4). Let d = s + -2. Solve 1 + 2 = -d*h for h. -1 Let q(z) = -z**2 + 6*z + 7. Let j be q(7). Solve -5*t - 32 + 7 = j for t. -5 Let l(w) = -w**2 - 6*w - 3. Let y be l(-4). Suppose -2*c - 2*c + 3 = -5*p, p + y*c = 11. Solve 7 = -2*k - p for k. -4 Let a(p) = 15*p**2 - 14*p**2 - p - 7 + 8*p. Let g be a(-8). Solve -g + 4 = -3*z for z. -1 Suppose 2*b - 2*p - 4 = -0*b, 4*b - 14 = -2*p. Solve 2*d - 15 = -b*d for d. 3 Suppose 13 = 5*l - 2. Suppose -4*v - 3*x = -25, -2*v - v + 3*x = -l. Solve -2*r = -v*r for r. 0 Suppose 0 = 3*r + 2 - 5. Solve d = 1 + r for d. 2 Suppose 26 = t + 4*s, 3*s - 39 = -4*t - 0*s. Solve 3*p - 6*p + t = 0 for p. 2 Let l = 188 + -170. Solve -n = 5*n + l for n. -3 Suppose 24 = 3*f + f. Solve f = 2*v + v for v. 2 Suppose 41*k = 33*k + 32. Solve o + k = 5 for o. 1 Let c(a) = 6*a - 5 + 0*a**3 + 4 + 4*a**2 + a**3 - 2*a**3. Let g be c(5). Suppose -w = -g*w + 15. Solve 5*i - 10 - w = 0 for i. 3 Suppose -l + 2 = -5*d + 4, -3*d + 4 = -2*l. Solve d*i + 9 = 3*i for i. 3 Suppose 0 = -0*y + 2*y - p - 16, -3*y - 2*p = -24. Solve 0 = -0*q - 4*q - y for q. -2 Let s(a) = 3*a - 2. Let q be s(1). Solve 0 = -d - q for d. -1 Let q = -6 - -7. Let r = 3 - q. Solve -r*l - 1 = -9 for l. 4 Let j(t) be the first derivative of -t**2 - 5*t + 1. Let m be j(-4). Solve m = 4*o + 19 for o. -4 Let t be (-30)/(-4)*(-32)/(-12). Solve -2*u = 2*u - t for u. 5 Let h be 15/20 - (-25)/4. Suppose -g - h = -2*g. Let u = -2 - -6. Solve -g = -u*c + 9 for c. 4 Suppose 8*g + 22 = 38. Solve -g*y - 3*y = 15 for y. -3 Let m(g) = 4*g - 2. Let r be m(3). Suppose 5*z - 10 = -0*x - 2*x, -2*z + x + 4 = 0. Let b = r - z. Solve -o = o + b for o. -4 Let g = -136 - -142. Solve g*m + 20 = m for m. -4 Let o(k) = 7*k - k - 3*k + 1. Let j be o(3). Let z = j + -7. Solve -p + 0 = -z for p. 3 Let c(t) = t**2 + 4*t - 6. Let b be c(-7). Solve 4*u = 7*u + b for u. -5 Let u be (-7)/1*21/(-49). Solve -u*q - 5 + 2 = 0 for q. -1 Let y = -51 + 66. Solve 5 = -5*o - y for o. -4 Let q = -13 - -14. Solve -n + q = -3 for n. 4 Let i(w) = 2*w**2 + 11*w - 15. Let n be i(-7). Solve 0 = -3*d - n - 3 for d. -3 Suppose 0 = 5*n - 0*v + 4*v - 24, -19 = -5*n + v. Let z be (1 + 0)*(-8)/n. Let l = 6 + z. Solve 5*m + l + 11 = 0 for m. -3 Let h(m) = m**3 - 5*m**2 + 4. Let t be h(5). Suppose b + t = 3*b. Suppose -3*p + a + 12 = b*p, 2*a = -p - 2. Solve -p*f = 2 + 8 for f. -5 Let p = 8 + -5. Let s = 5 - p. Solve -5 + 3 = s*i for i. -1 Suppose -2*q - 20 = 3*q, -72 = -4*f + 5*q. Let k = -8 + f. Suppose 28 = 2*z + 4. Solve k*u - u = z for u. 3 Let r = -6 + 8. Solve -r + 1 = -a for a. 1 Suppose -14 = -f - 5. Solve -j - 2*j + f = 0 for j. 3 Suppose -3*n - 6 = -0*n. Let t be (1/1 - 4)*n. Let j = 13 - 8. Solve 3*x - j*x + t = 0 for x. 3 Let m = 4 - 6. Let b(w) = w**3 + 3*w**2 + w - 1. Let g be b(m). Solve -g + 7 = 2*i for i. 3 Suppose r = -4*r - 2*b + 11, -4*r - 2*b = -8. Suppose -t + 2 = -0*t. Suppose -5*y = -5*x + x - 120, -t*y - 5*x = -81. Solve -5*q + r = y for q. -5 Let n(d) = d - 4. Let c = -3 + 2. Let q = c + 6. Let s be n(q). Solve t = -s + 6 for t. 5 Let z be (-4 + -3)/(-1) + 1. Solve -5*j = -3*j + z for j. -4 Suppose -b - 2*b = 0. Let k be 1*(-1 - -4 - b). Solve k*x = 3 - 0 for x. 1 Let h(u) = u**3 + 7*u**2 + 6*u + 6. Let i be h(-6). Solve -i*g + 2*g = 0 for g. 0 Let g = -7 + 11. Suppose 5*y = 2*y. Solve y = 2*q + g - 12 for q. 4 Let c(q) = 3*q**2 - q - 1. Let w be c(-1). Let g(b) = 2*b - 7. Let v(t) = t + 1. Let s be v(5). Let d be g(s). Solve w*l + 17 = d for l. -4 Let a(n) = n**3 + n - 2. Let t be a(2). Solve 2*g = 4*g - t for g. 4 Let t(g) = -g + 2. Let k(c) = 2*c**2 + 3*c. Let r be 2/(-10) - (-27)/(-15). Let j be k(r). Let h be t(j). Solve -6*l + 11*l + 25 = h for l. -5 Let o = 25 - 13. Solve -2*z - z - o =
{ "pile_set_name": "DM Mathematics" }
-5 - -14. Is (614/(-6))/((-3)/w) a prime number? True Let w = 691 - 393. Suppose 3*p - 2*p = -5*s + w, 3*s = p + 174. Is s prime? True Suppose -4*w = 5*o + 984 - 26004, 5*w - 31275 = 5*o. Is w/21 - 1/(-7) a composite number? True Is 6/1 - 258310/((-70)/7) composite? True Let i = 45 - 18. Suppose 3*u = -4*q + 77, 5*u + 3*q = i + 116. Is u a prime number? True Let y = -1 - -3. Suppose -a + 2*a = 4*u + 18, -y*a - u = 0. Let d(z) = 9*z**3 + 2*z**2 + 3*z - 3. Is d(a) a prime number? True Let y be (326/3)/(125/(-30) - -4). Let u = 1311 + y. Is u prime? True Suppose 17 = -3*d - 22. Let j be (-402)/(-8)*(d + -3). Let n = -433 - j. Is n a prime number? False Suppose 4*f + b + 0*b - 16 = 0, 4*f + 4*b = 4. Suppose 5*a - 2204 = 4*a + f*z, z = -5. Is a prime? True Let p = -61 - -70. Is 8/36 + 5713/p a prime number? False Suppose -2*z + 7*z - 4*q = 87339, 5*q = -2*z + 34962. Is z composite? False Let w(c) = -8*c**2 - 24*c - 25. Let a(h) = -15*h**2 - 47*h - 51. Let q(y) = -6*a(y) + 11*w(y). Is q(-15) prime? True Let x be (-8)/(-14) + 196/(-343). Suppose 5*r - 2580 - 260 = 0. Suppose -4*q = -x*q - r. Is q a composite number? True Suppose -5*f + 335 = -0*f. Suppose 0 = -y + f + 226. Is y prime? True Let y(g) = g + 2. Let f be y(-5). Let d = 70 - 64. Is f/6*d + 40 a prime number? True Let z be 0/(2 + -8 - -3). Suppose z = -4*m + 5*m. Suppose -j + m*j = -19. Is j composite? False Suppose 3*b - 3374 = -5*m, 3*m - 652 - 1376 = -3*b. Is m a prime number? True Is 88 + ((-6)/(-9))/((-4)/18) a prime number? False Suppose 27*n - 2828189 = 1339774. Is n prime? True Let s = 1906 + -1947. Let w be (-3 + -1)/(1/1). Is (s - w)*(0 - 1) composite? False Is (-41842)/(-4)*(-10 + 3 + 9) a composite number? False Is (-69)/(-345) - ((-50568)/10 - 0) a composite number? True Is 17668/(-2)*(-5)/10 composite? True Let g(b) = -b**2 + 9*b. Let n be g(9). Is (n + -1)*(-3787)/7 composite? False Suppose -4*a + 3*h = -h + 12, 5*a - 3 = -h. Suppose w + a = 1. Is w - (-3 + (-65 - -2)) composite? False Let k = -15 - -18. Let x(t) = -t + t**k + 256 + 231 + 0*t**3. Is x(0) prime? True Suppose -312 = -o + 2*k + 67, 4*k = -5*o + 1923. Is o a composite number? False Let s(b) = -b**3 + 4*b**2 + 4*b + 3. Let w be s(5). Is 450 - 2*1/w a prime number? False Let c(i) = 3*i**3 + 3*i**2 - 6*i - 9. Let j be c(-4). Let o = j - -218. Is o composite? False Is 1884 + -1 + 2 + -6 prime? True Let a be 16 - 14 - (-1 + -11). Suppose -3*u = 2*b - 2, -b + u = -4*u - a. Suppose -142 = -t - 3*t - 2*p, -t = -b*p - 31. Is t composite? True Suppose 0 = r - 4*a - 32484 - 2967, 4*r - 141894 = -2*a. Is r a prime number? False Let g = -207 + 830. Is g a prime number? False Suppose 46639 = 18*l - 952127. Is l a composite number? False Let y(g) = -4*g + 3. Let b(l) = 372*l - 19. Let n(x) = -b(x) - 6*y(x). Let r(o) = o**2 + 4*o - 2. Let i be r(-4). Is n(i) composite? True Let t(s) = s**3 - 12*s**2 - 10*s + 13. Let o(l) = l**2 - 1. Let a(r) = -6*o(r) - t(r). Let g be a(7). Suppose q - g = 41. Is q a prime number? False Suppose 4*i + 16 = 2*j, 0 = j + 4*j - 3*i - 68. Is (20262/(-88))/((-6)/j) composite? True Let z be -1*3 + (-23 - 4491). Let o = -3160 - z. Is o prime? False Suppose -b + 100941 = 3*n + 29057, -143773 = -2*b - 5*n. Is b composite? False Suppose -2 = -3*l - s, 0 = -4*l - 4*s + 8*s - 24. Let p be ((-225)/(-20))/(l/8). Let g = -1 - p. Is g a composite number? False Let z(w) = -1778*w - 247. Is z(-37) a prime number? True Suppose 4*k = p - 4325 + 25923, -k + p + 5401 = 0. Is k a prime number? True Suppose 0 = 2*n - 0*x - 5*x + 100, 5*n + 4*x + 184 = 0. Let i = n - -371. Is i prime? True Let v be 10/5*-1 - -123. Let j = 192 - v. Is j a composite number? False Let q(g) = -8*g - 1 + 3*g**2 + g**2 - 2*g**2 + 2*g**2. Let k(t) = -t**3 - 6*t**2 + 9*t + 7. Let s be k(-7). Is q(s) composite? False Let a(d) = -328*d**3 - 10*d**2 + 3*d - 43. Is a(-6) composite? True Let w be (-2 - (2 - 0)) + 6. Suppose -5*m + 10257 = -4*l, 3*l - w*l + 3 = 0. Suppose -z = -3*t + 2049, m = 4*t - t + 3*z. Is t prime? True Let f = -20 - -17. Let w be (f - (-3 - -1))*-94. Suppose -w = -j + 157. Is j a prime number? True Suppose 2*n - 2*w = 4*n + 186, 5*w = -4*n - 367. Let u = n - -349. Is u composite? False Suppose 22*z = 24*z - 3462. Is z a prime number? False Let i be 3/(-2)*((-10740)/(-9))/5. Let g = i - -665. Is g a composite number? False Suppose -3*z = t + 41, 0 = 5*z - 5*t + 8 + 27. Let d = z + 11. Let r(v) = -68*v**3 + 2*v + 1. Is r(d) a prime number? True Suppose 5*x = 3*t + 4, 4*x - 3*t = 6*x - 10. Suppose -2*p = 5*v + 2*p - 3449, 2069 = 3*v + x*p. Let g = v + -270. Is g a prime number? True Let g be -1*-35*(0 + -1). Let t = 16 - 28. Let d = t - g. Is d prime? True Let v(w) = -3 + 30*w + 7 + 7. Let o be v(6). Let b = o - -102. Is b prime? True Suppose 4*g + 288767 = z, z + 45*g = 41*g + 288767. Is z a prime number? True Let l(r) = -3*r**3 + 10*r**2 - 5*r + 3. Is l(-11) a composite number? False Suppose -3*d - 3*u + 423 = -4*d, 3*u + 447 = -d. Let a = d + 1124. Is a a composite number? True Let x = -846 + 3568. Is x a composite number? True Let m(p) = -44*p - 249. Is m(-10) prime? True Let c(g) = -41*g**3 - g**2 - 10*g + 9. Let r be c(-5). Suppose 3*m - r = -p, 6*p - 2*p - 2*m = 20608. Is p composite? False Let v(b) = -b**3. Let y(l) = -l**3 + 2*l**2 + 5*l + 1. Let z(o) = -2*v(o) + y(o). Is z(6) a prime number? False Let l(p) = 549*p**2 + 27*p - 95. Is l(6) a composite number? True Is (-586528)/(-24) + 1/3 prime? True Suppose 63*w = 61*w + 4646. Is w a composite number? True Let j = 25 + -19. Suppose j*z = 25 - 7. Suppose 2*g - 567 = -5*h, z*g + 110 = h - 0*h. Is h prime? True Suppose -r = 2*r + 2199. Let v = r + 362. Is 1 + -1 - -2 - v prime? True Suppose 9275 = 7*w - 2772. Is w a prime number? True Let k(m) = 8*m**3 - 8*m**2 - 21*m + 18. Let i be k(15). Suppose 11*j - 2*j = i. Is j prime? True Let l be (-2)/((-10)/(-2) + -3). Let b(d) = -58*d - 2. Let i be b(l). Is (17/(-4))/((-2)/i) a prime number? False Let c be 302805/10*(-4)/(-6). Suppose -c = -5*q - 4*q. Is q prime? True Suppose 0 = 5*o + 11061 - 69316. Is o prime? False Let t be (7/((-14)/(-32)))/((-2)/(-197)). Let u = 2327 - t. Is u a prime number? True Let h(b) = 7*b - 47. Let y be h(-15). Let q(g) = 460*g**2 - 1. Let m be q(1). Let l = y + m. Is l a prime number? True Let u be 2 - (-10)/(-2) - -10. Suppose 3*n - 7 - u = 4*j, 5*n - 2*j = 0. Is (-2 - 0)*47/n prime? True Let k(y) = -23*y + 81 - 5*y - 88. Let m be 4/(-6) + 13/(-3). Is k(m) composite? True Let n(f) = f**3 + 14*f**2 + 18*f + 10. Let q be n(-12). Let r = 12 + 12. Let t = q - r. Is t a composite number? True Let a = 1381 - -1117. Is a a prime number? False Let c be (11 - 4) + -4 - -3. Is 423*(0 + 2)/c composite? True Suppose 0 = -1080*z + 1086*z - 1164. Is z prime? False Let z be (-222 - (-1 + 2))*-3. Let m = -422 - -965. Suppose 4*s = m + z. Is s composite? True Let d = 21006 - 11135. Is d a composite number? False Let v = 4442 + 432. Is v prime? False Let s be 30/7 + (-2)/7. Let p(r) = 127*r + 9. Let w be p(3). Suppose -8*k = 5*f - 3*k - w, 4*k = -s. Is f a composite number? False Suppose 10*b - 48116 = 36074. Is b prime? True Suppose -12 = 2*m + 3*w, -3*w - 11 = -3*m + 1. Let d = 6 - m. Suppose -348 = -d*l + 2*l - 4*i, -95 = -l + i. Is l a prime number? False Let l be (1 - -5)/((-12)/(-16)). Let s(u) = 2*u**3 - 10*u**2 - 2*u + 11. Is s(l) a prime number? True Let g = 8 - 10. Is 195629/133 + g/(-19) a prime number? True Let k = 36054 - 397. Is k composite? True Let p(y) be the second derivative of -13*y**6/180 + 13*y**5/120 - 2*y**4/3 + 8*y. Let w(v) be the third derivative of p(v). Is w(-10) a composite number? True Let j = -5 + 2. Let f = 8 + j. Suppose -5*z + m = -918, f*m + 73 = 2*z - 308. Is z a composite number? True Let v(b) = 3*b - 3. Suppose -5*k = 5*o - 40, -18 = -2*o - 5*k - 2. Let r be v(o). Is (-12)/42 - (-3807)/r prime? True Let g(y) = -y**3 + 4*y**2 + 2*y - 4. Let m be g(4). Suppose 10 = -2*k + 3*k - 4*d, -3*d + 40 = m*k. Is (25/k)/(-5)*-38 a composite number? False Let l be (-1)/(-3)*3*23. Let t = 92 + l. Is t prime? False Let b(u) = 9*u**3 + u**2 + 1. Let d be b(5). Is (d/(-2) - 0)*-2 prime? True Suppose -50*z + 55*z - 16705 = 0. Is z composite? True Is (-4)/(-22) - -3*(-235781)/(-429) a prime num
{ "pile_set_name": "DM Mathematics" }
o the power of 1/2, to the nearest integer? 1478 What is the third root of 623858 to the nearest integer? 85 What is the eighth root of 931704 to the nearest integer? 6 What is the third root of 519730 to the nearest integer? 80 What is 1540091 to the power of 1/5, to the nearest integer? 17 What is 14372672 to the power of 1/7, to the nearest integer? 11 What is 1026153 to the power of 1/3, to the nearest integer? 101 What is the seventh root of 1626578 to the nearest integer? 8 What is the third root of 42417 to the nearest integer? 35 What is 69913 to the power of 1/2, to the nearest integer? 264 What is 16527805 to the power of 1/2, to the nearest integer? 4065 What is the fifth root of 339966 to the nearest integer? 13 What is the square root of 135381 to the nearest integer? 368 What is the eighth root of 93085 to the nearest integer? 4 What is the cube root of 466215 to the nearest integer? 78 What is the square root of 7058795 to the nearest integer? 2657 What is the cube root of 1824484 to the nearest integer? 122 What is the ninth root of 9907918 to the nearest integer? 6 What is the fourth root of 266161 to the nearest integer? 23 What is the third root of 1955856 to the nearest integer? 125 What is 6571516 to the power of 1/3, to the nearest integer? 187 What is the fourth root of 263377 to the nearest integer? 23 What is 9572594 to the power of 1/2, to the nearest integer? 3094 What is the third root of 12128453 to the nearest integer? 230 What is the third root of 2170729 to the nearest integer? 129 What is the eighth root of 262061 to the nearest integer? 5 What is 3131760 to the power of 1/9, to the nearest integer? 5 What is the third root of 528545 to the nearest integer? 81 What is 1933036 to the power of 1/9, to the nearest integer? 5 What is 314124 to the power of 1/3, to the nearest integer? 68 What is 295356 to the power of 1/2, to the nearest integer? 543 What is the square root of 1523597 to the nearest integer? 1234 What is the tenth root of 4568093 to the nearest integer? 5 What is 123468 to the power of 1/3, to the nearest integer? 50 What is the square root of 238737 to the nearest integer? 489 What is the third root of 1684796 to the nearest integer? 119 What is 3610156 to the power of 1/9, to the nearest integer? 5 What is the fifth root of 4918544 to the nearest integer? 22 What is 14291742 to the power of 1/2, to the nearest integer? 3780 What is 1692395 to the power of 1/3, to the nearest integer? 119 What is the third root of 370443 to the nearest integer? 72 What is 277915 to the power of 1/3, to the nearest integer? 65 What is 174158 to the power of 1/2, to the nearest integer? 417 What is 35253468 to the power of 1/3, to the nearest integer? 328 What is 203585 to the power of 1/10, to the nearest integer? 3 What is the square root of 102568 to the nearest integer? 320 What is 102621 to the power of 1/2, to the nearest integer? 320 What is the third root of 499626 to the nearest integer? 79 What is the ninth root of 4425980 to the nearest integer? 5 What is 3468244 to the power of 1/2, to the nearest integer? 1862 What is the square root of 325112 to the nearest integer? 570 What is 1814944 to the power of 1/2, to the nearest integer? 1347 What is the tenth root of 1335978 to the nearest integer? 4 What is the third root of 12505510 to the nearest integer? 232 What is the square root of 927506 to the nearest integer? 963 What is the seventh root of 690975 to the nearest integer? 7 What is 2807185 to the power of 1/2, to the nearest integer? 1675 What is the cube root of 11855728 to the nearest integer? 228 What is the fourth root of 272959 to the nearest integer? 23 What is 2674075 to the power of 1/6, to the nearest integer? 12 What is the square root of 87148 to the nearest integer? 295 What is 3044821 to the power of 1/2, to the nearest integer? 1745 What is the third root of 346979 to the nearest integer? 70 What is the cube root of 191760 to the nearest integer? 58 What is 466708 to the power of 1/2, to the nearest integer? 683 What is 11663309 to the power of 1/4, to the nearest integer? 58 What is the square root of 823794 to the nearest integer? 908 What is 14657031 to the power of 1/3, to the nearest integer? 245 What is 1394299 to the power of 1/10, to the nearest integer? 4 What is the cube root of 266050 to the nearest integer? 64 What is the square root of 3183723 to the nearest integer? 1784 What is 745343 to the power of 1/7, to the nearest integer? 7 What is the square root of 6065165 to the nearest integer? 2463 What is 34664913 to the power of 1/2, to the nearest integer? 5888 What is the seventh root of 10957601 to the nearest integer? 10 What is 8049597 to the power of 1/3, to the nearest integer? 200 What is the square root of 160688 to the nearest integer? 401 What is the sixth root of 266610 to the nearest integer? 8 What is 1113361 to the power of 1/3, to the nearest integer? 104 What is 714527 to the power of 1/7, to the nearest integer? 7 What is the cube root of 56757 to the nearest integer? 38 What is 1713539 to the power of 1/6, to the nearest integer? 11 What is the cube root of 593984 to the nearest integer? 84 What is 489575 to the power of 1/4, to the nearest integer? 26 What is the seventh root of 1722353 to the nearest integer? 8 What is 125448 to the power of 1/2, to the nearest integer? 354 What is 213260 to the power of 1/4, to the nearest integer? 21 What is 19750 to the power of 1/3, to the nearest integer? 27 What is the square root of 7732304 to the nearest integer? 2781 What is 123419 to the power of 1/4, to the nearest integer? 19 What is the square root of 10381276 to the nearest integer? 3222 What is the cube root of 2011160 to the nearest integer? 126 What is the cube root of 111238 to the nearest integer? 48 What is the square root of 239733 to the nearest integer? 490 What is the third root of 13091662 to the nearest integer? 236 What is the tenth root of 352703 to the nearest integer? 4 What is the third root of 492792 to the nearest integer? 79 What is 103123 to the power of 1/3, to the nearest integer? 47 What is the fourth root of 559439 to the nearest integer? 27 What is 840101 to the power of 1/5, to the nearest integer? 15 What is the cube root of 586953 to the nearest integer? 84 What is the fifth root of 133392 to the nearest integer? 11 What is 2112267 to the power of 1/2, to the nearest integer? 1453 What is the seventh root of 392901 to the nearest integer? 6 What is the third root of 92529 to the nearest integer? 45 What is 4295180 to the power of 1/2, to the nearest integer? 2072 What is 1460055 to the power of 1/3, to the nearest integer? 113 What is the cube root of 714749 to the nearest integer? 89 What is 187737 to the power of 1/2, to the nearest integer? 433 What is the eighth root of 3554473 to the nearest integer? 7 What is the cube root of 70030 to the nearest integer? 41 What is 810956 to the power of 1/4, to the nearest integer? 30 What is the square root of 12659409 to the nearest integer? 3558 What is 250497 to the power of 1/2, to the nearest integer? 500 What is 594527 to the power of 1/3, to the nearest integer? 84 What is the fourth root of 2930531 to the nearest integer? 41 What is the cube root of 22873742 to the nearest integer? 284 What is the seventh root of 2038251 to the nearest integer? 8 What is 30528312 to the power of 1/5, to the nearest integer? 31 What is the third root of 2231693 to the nearest integer? 131 What is the square root of 201465 to the nearest integer? 449 What is the tenth root of 29554 to the nearest integer? 3 What is the seventh root of 759655 to the nearest integer? 7 What is the third root of 7703465 to the nearest integer? 197 What is 276687 to the power of 1/3, to the nearest integer? 65 What is 6120941 to the power of 1/10, to the nearest integer? 5 What is the cube root of 2026821 to the nearest integer? 127 What is the eighth root of 357916 to the nearest integer? 5 What is the sixth root of 1380612 to the nearest integer? 11 What is 14805573 to the power of 1/2, to the nearest integer? 3848 What is the square root of 84704 to the nearest integer? 291 What is 16459876 to the power of 1/2
{ "pile_set_name": "DM Mathematics" }
rue Is (-7 + 0)/(7/7) + 215820/20 a multiple of 90? False Let i(f) = 28799*f + 5146. Let x(o) = 347*o + 62. Let p(c) = -3*i(c) + 248*x(c). Is 24 a factor of p(-3)? False Suppose 32*a - 37651 = a + 8*a. Is 8 a factor of a? False Let z(p) = 6*p**2 - 10*p - 1. Let k be z(2). Suppose 2 = k*s - s, 2*s - 1082 = -3*o. Is o a multiple of 45? True Let i = 9643 + -6962. Does 87 divide i? False Suppose -71*a - 16*a = -464406. Is 10 a factor of a? False Suppose 11*a = 9*a + 18. Let q(z) = -z**3 + 8*z**2 + 10*z - 2. Let y be q(a). Suppose y*o - 119 = 413. Is o a multiple of 19? True Suppose -17943 = -121*x + 12307. Does 29 divide x? False Suppose -14540 = -5*t + 1365. Does 70 divide t? False Suppose -255*w = -1771943 - 1589977. Does 18 divide w? False Let x(h) = h**2 + h - 7. Let u be x(3). Let v(m) = m**2 - 3*m - 8. Let a be v(u). Suppose 185 = 5*f + 5*t, t + 169 = 4*f - a*t. Is f a multiple of 8? True Let k(j) = j**3 + 2*j**2 - 3*j - 4. Let a be k(2). Suppose 2*r + 5*x = 19, r + 3*x - 10 = 1. Suppose -2*y + a = 0, r*l = -0*l + 4*y + 30. Is l a multiple of 3? True Suppose 22*t - 494 = 3*t. Suppose t*a = 15*a + 13156. Is 26 a factor of a? True Let m = 4668 + -2435. Does 7 divide m? True Suppose 0 = -2*t + 2*y - 6*y + 72180, 0 = -5*t - 4*y + 180450. Is 236 a factor of t? False Suppose 0 = -m - 5*j + 27, -55 = -5*m - 3*j + 36. Suppose 5*c = m - 37. Is (-50)/c + (-15)/6 + 2 even? True Let m(r) = 3*r**2 - 115*r. Is 75 a factor of m(45)? True Let n(k) = 53*k**2 + 107*k - 348. Does 191 divide n(-18)? True Let x(i) = 2*i**3 - 7*i + 8. Suppose 0 = -102*w + 98*w + 16. Does 27 divide x(w)? True Let c = -17834 + 22429. Is c a multiple of 2? False Let l be ((-30)/(-35))/3 - 47/(-7). Let a be (-3 - l)/(-2) - 1*-3. Is a/(-28) + (-132)/(-21) even? True Suppose 24 = 5*v + 2*x, 4*v - 9 = -x + 9. Suppose q - 4*q - 5*i = -v, 5*i = 4*q + 53. Let u(f) = 2*f**2 + 8*f + 7. Is 6 a factor of u(q)? False Let g = 16761 - 13117. Does 34 divide g? False Suppose 17 = 4*z - 15. Suppose -4*y = -z*y - l + 817, y - l = 203. Is y a multiple of 15? False Let c be 3*52/(-6)*125/(-10). Let b = -185 + c. Is b a multiple of 35? True Let t = -544 - -559. Suppose t*d - 78 - 717 = 0. Is d a multiple of 16? False Let n be (1 - -1)/(70/(-65) + 1). Let t be 14/2 - (-23 - n). Does 5 divide (-20)/t + 1 - -54? True Let t = 3979 - 2306. Suppose 32*b - t = 25*b. Is b a multiple of 20? False Is 143 a factor of ((2 + 1)/(-3))/(5*(-9)/1196910)? True Suppose -5*n - 2*y - 64 - 24 = 0, 0 = -2*n - 3*y - 33. Let c(v) be the first derivative of v**3/3 + 8*v**2 + 8*v + 2492. Does 19 divide c(n)? False Let h be (-9 + 8)/((-1)/7). Let l(c) = -c**3 + 10*c**2 + c - 7. Does 7 divide l(h)? True Let u(r) = -20*r**2 + 1. Let f be u(1). Let k be ((-5 + 8)*420/45)/(2/1). Let t = k - f. Is t a multiple of 5? False Suppose -13*n = -5*n + 680. Let o = 312 - n. Is o a multiple of 17? False Let z = -6 + -14. Let j = 448 + z. Is 61 a factor of j? False Is 36/42 - (-384288)/14 a multiple of 45? True Suppose -131824 = -31*q + 42830. Is q a multiple of 9? True Suppose -373 = -16*l - 21. Suppose -19*h - 57 = -l*h. Is 8 a factor of h? False Let b(z) = 14*z - 28. Let t be b(2). Suppose t = 4*d - d + 6, 400 = 3*h - 5*d. Is 9 a factor of h? False Is 20 a factor of 52/(-1300) + 78302/50? False Let t(u) = -4*u**2 + 12. Let c be t(0). Suppose 0 = -h - 3*h + c. Suppose -2*w = -h*w + 152. Does 19 divide w? True Does 84 divide ((4 - 0)*2 - 0) + 14120? False Let v(q) = 7*q**2 + 29*q - 154. Is 2 a factor of v(-23)? True Suppose -3*q - 4*o = 434, 3*q = 4*q + 3*o + 153. Let u = -93 - q. Suppose 2*a = 53 + u. Is a a multiple of 7? True Suppose 22*a - 18*a - 4*m - 4420 = 0, 0 = 4*a + 2*m - 4450. Does 47 divide a? False Suppose 0*m = -5*m. Suppose 8*n - 11*n + 36 = m. Does 9 divide n/6 - (-33)/1? False Suppose 3*b + 1067 - 13231 = -g, b = -g + 4054. Suppose -7*d + b = -3043. Does 26 divide d? True Let n(v) = 17*v + 151. Let b be n(22). Suppose -b - 972 = -3*q. Is q a multiple of 21? False Let v(d) = d**2 + 5*d - 32. Let z be v(4). Suppose 0 = -2*q + 6, -4*f - 7*q = -z*q - 1149. Does 57 divide f? True Suppose -116 = 3*q - 122. Suppose q*k - 644 - 610 = 0. Is 57 a factor of k? True Suppose 12005 = 4*x + w, 136*x + 5*w = 134*x + 6025. Does 8 divide x? True Let y(k) = -2*k**3 - 2*k**2 + 3*k + 3. Let c be y(-2). Let h be (5 - 30/c) + 1880. Suppose 340 = -9*t + h. Is 8 a factor of t? False Suppose 0 = -3*t - 2*t + 3*b + 39271, -5*b = 4*t - 31476. Is t a multiple of 29? True Suppose -5*l + 13077 + 4900 = 3*d, -5*l - 4*d = -17976. Is 29 a factor of l? True Suppose 0 = -2*a + 119 - 113. Suppose 0 = -2*v + a*u - 12, 5*v + 3 + 9 = 3*u. Suppose -5*c - 5*s + 520 = v, 214 = 2*c + 3*s + s. Is c a multiple of 5? False Suppose 4*w = k + 208, 9*w = -k + 4*w - 163. Is ((-47)/k)/(1/6584) a multiple of 14? False Let n = -6 + 11. Is 13 a factor of (n/15)/(2/624)? True Let f = 6 + -3. Let i(c) = -c**3 - 16*c**2 + 22*c + 93. Let l be i(-17). Is 28 a factor of f - 2*(-148)/l? False Let h(n) = 3*n**2 - 47*n - 5. Let o(i) = -i**2 + i + 1. Let x(u) = -h(u) + 4*o(u). Is 21 a factor of x(6)? True Let n(r) = -2*r + 42. Let v(u) = 2*u. Let d(p) = 2*n(p) + 6*v(p). Does 41 divide d(8)? False Let n(p) be the first derivative of p**4/4 - 8*p**3/3 + 5*p**2/2 - 17*p + 139. Is n(9) a multiple of 29? False Suppose 32 = w + p + 119, -4*p = -4*w - 372. Is 8 a factor of (-168)/(-224) - -9*w/(-8)? False Let l(t) = -13*t**2 + 8*t + 6. Let j be l(-1). Let i be ((-155)/j + -7)/(2/(-6)). Is 46 a factor of -4 + (-2712)/(-15) + (-2)/i? False Let l(p) = -4*p**3 - 2*p**2 - 61. Let y(i) = 5*i**3 + 3*i**2 + i + 60. Let g(c) = -4*l(c) - 3*y(c). Let o be g(0). Suppose -143 - o = -v. Does 23 divide v? True Suppose -5 = 5*v, -1806*p - v + 100655 = -1802*p. Is 18 a factor of p? True Let w(z) = 5161*z**2 - 534*z + 1602. Is 16 a factor of w(3)? False Suppose 0*s + 2*s = 122. Suppose 20 - 102 = 79*q - 3. Let f = q + s. Does 28 divide f? False Let i be 1 + 1 - (-3314 + -3). Let c = i - 2299. Is c a multiple of 20? True Suppose -18*a = -21*a + 1374. Suppose 8*o + a = 1282. Is o a multiple of 16? False Let j(k) be the first derivative of -123*k**2/2 + 4*k - 152. Does 16 divide j(-4)? True Let c(w) = -w**3 + 2*w**2 + 6*w + 3. Let t be c(-2). Suppose 2*a + 175 = t*a. Is a a multiple of 7? True Let v be (21/14)/(4 + (-53967)/13494). Let r = v + -1579. Is r a multiple of 115? False Suppose 3*f = 3*q + 1295 - 21695, 0 = 4*q + 2*f - 27248. Does 17 divide q? False Let s be (-11 + 14)*(-7)/(-3). Suppose 15 = -3*j - 3*p, -3*p + s*p - 4 = 4*j. Is (-2)/j + -1 + (-1547)/(-51) even? True Suppose 29 = 2*q - 3*d, 5*q - 4*q + 5*d - 47 = 0. Suppose q = -9*a - 14. Does 6 divide a/24 - 440/(-48)? False Let y(u) = u**3 - 14*u**2 + 2*u + 10. Let g be y(15). Suppose 0 = -0*h + 5*h - g. Let i = h + -37. Is 3 a factor of i? False Let v(i) = 7*i**2 + 40*i - 235. Is 8 a factor of v(-24)? False Let r(q) = q**3 + q**2 + q + 20. Let l be r(0). Let z = 20 - l. Suppose z = 2*p - d - 19, -2 - 49 = -5*p - d. Does 3 divide p? False Let d be -24*(25/(-20) + (-2)/8). Suppose -477 = -d*c + 33*c. Is c a multiple of 12? False Suppose 258 = -b + 260. Suppose 2*s - 3*l = 451, b*s + l - 565 = -118. Is 32 a factor of s? True Let f be 1284/(-42) - (8/(-14))/1. Let g be (-96)/f*215/2. Suppose 4*r - 743 + 56 = 3*i, -2*r = -2*i - g. Does 32 divide r? False Let q be 36/((-6)/6)*554/(-8). Suppose -35*w + q + 3597 = 0. Is w a multiple of 29? True Suppose -3*p + 8*z + 83124 = 0, 110878 = 4*p + 35*z - 38*z. Does 109 divide p? False Suppose 0*k = -5*c - 4*k + 648, 0 = k - 2. Let o = 357 + c. Suppose -3*f + 112 = -2*f + 4*a, 0 = 5*f + 5*a - o. Does 27 divide f? False Let r be 5 + -2 - 1/(1/(-269)). Suppose q = -1 - 3, -2*q + r = -4*g. Let j = g - -130. Does 15 divide j? True Let t(f) = 22*f. Let y be (36/(-27))/(4/(-18)). Suppose -2*l + 0*b = 4*b - y, 3*l = 2*b + 1. Is t(l) a multiple of 12? False Let n = 46 - 41. Suppose -4*k + 36 = -n*u, 5*k - 25 - 29 = 4*u. Is (112/k)/((-2)/(-37)) a multiple of 26? False Let u be (10 - 2) + (-141)/3. Is (-4 + 313)/(u/(-65)) a multiple of 5? True Let j be (-4)/((-20)/(-15)) - -1451. Suppose 2458 + j = 6*x. Does 31 divide x? True Let w(u) = -6*u + 34. Let c be w(15). Let n = c - -61. Suppose 811 - 181 = n*s. Is s a multiple of 42
{ "pile_set_name": "DM Mathematics" }
5*f - 8. What is n*h(z) - 5*p(z)? z**3 + 3 Let s(y) = 2*y**3 - y**2 - y - 2. Let o(x) = 693*x**3 - 315*x**2 - 315*x - 630. What is -o(j) + 315*s(j)? -63*j**3 Let q(z) = -5*z**2 + 56*z - 3. Let y(m) = -7*m**2 + 2*m - 1. What is -q(i) + 5*y(i)? -30*i**2 - 46*i - 2 Let g(i) = 7*i - 8. Let a(f) = 11*f**2 - 36*f + 28. Calculate 2*a(b) + 10*g(b). 22*b**2 - 2*b - 24 Let d(u) = -u**3 + 2*u**2 - 2*u. Let y(j) = 13*j**3 - 23*j**2 + 23*j. Let a(m) = 25*d(m) + 2*y(m). Let h(r) = 2*r**3 + 7*r**2 - 9*r. What is -7*a(z) + 4*h(z)? z**3 - 8*z Let s(d) = 12*d**2 + 3*d - 3. Suppose 4*g + 844 = 3*o + 161, 2*g + 343 = 3*o. Let c = g + 175. Let q(l) = -23*l**2 - 5*l + 5. What is c*s(k) + 3*q(k)? -9*k**2 Let d(t) = 28*t**2 - 9*t + 9. Let x(o) = 15*o**2 - 5*o + 5. Let z(b) = 2*d(b) - 5*x(b). Let v(a) = 9*a**2 - 4*a + 4. Give -7*v(p) - 4*z(p). 13*p**2 Let y(f) be the second derivative of 4*f**3/3 - f**2 + f. Suppose 5*w = -2*s + 30 - 43, 4*w + 26 = s. Let b(v) = 9*v - 2. Give s*y(a) - 5*b(a). 3*a - 2 Let u(w) be the first derivative of -w**3 + 0*w + 1/4*w**4 - 69 + w**2. Let t(a) = -6*a**3 + 16*a**2 - 11*a. Determine 4*t(m) + 22*u(m). -2*m**3 - 2*m**2 Let z(c) = c**2 + 9*c + 22. Let r(x) = x**2 - 8*x - 18. Calculate 6*r(m) + 5*z(m). 11*m**2 - 3*m + 2 Let r(g) = 1783*g**3 - 12*g**2 + 4*g - 21. Let c(l) = 1783*l**3 - 9*l**2 + 3*l - 16. Calculate 4*c(w) - 3*r(w). 1783*w**3 - 1 Let v(k) = -450*k + 206. Let d(q) = -52*q + 23. Calculate -52*d(h) + 6*v(h). 4*h + 40 Let p(x) = -9*x**3 - 24*x**2 - 5*x - 2351. Let o(r) = 14*r**3 + 38*r**2 + 8*r + 3526. What is 5*o(h) + 8*p(h)? -2*h**3 - 2*h**2 - 1178 Let m(t) = -9*t**3 + 9*t**2 + 15*t - 2. Let n(p) = -4*p**3 - 14 + 68 + 7*p - 27 + 4*p**2 - 28. What is -6*m(q) + 13*n(q)? 2*q**3 - 2*q**2 + q - 1 Let r(u) = -21*u**3 - 31*u**2. Let a(i) = 21*i**3 + 34*i**2. Give -7*a(w) - 8*r(w). 21*w**3 + 10*w**2 Let m(l) = 3922*l - 12. Let o(w) = -8989220*w + 27510. Calculate -13755*m(k) - 6*o(k). -11790*k Let p(g) = -7*g**2 - 18*g - 46. Let f(n) = 29*n**2 + 80*n + 183. Give 2*f(i) + 9*p(i). -5*i**2 - 2*i - 48 Let b(x) = x**3 + 4*x**2 + 4*x. Let v be 1/(-4)*3*4. Let o be ((-4)/v)/(3/(-9)). Let k be 19/(19/4) + -1. Let y(n) = 3*n**2 + 3*n. What is k*b(t) + o*y(t)? 3*t**3 Let s(p) = -7*p**3 - 3*p - 73. Let f(j) = 9*j**3 + 4*j + 72. Calculate 3*f(n) + 4*s(n). -n**3 - 76 Let o(n) = -7*n - 234. Let b(s) = -9*s - 146. Give 2*b(f) - 3*o(f). 3*f + 410 Let o(z) = -z - 11. Let f(n) = -n - 8. Let r(b) = 4*f(b) - 3*o(b). Let a(x) = -7*x + 3. Determine -2*a(y) + 6*r(y). 8*y Let z(j) = -4*j**3 + 10*j**2 - j - 15. Suppose -42*l + 40*l = -4*h - 32, 5*h = -35. Let w(t) = t**3 - 3*t**2 + 5. Give l*z(i) + 7*w(i). -i**3 - i**2 - 2*i + 5 Let j(v) = 3*v**2 + 2*v + 4. Suppose 60*r + r - 459 = 10*r. Let q(c) = -7*c**2 - 4*c - 9. Give r*j(u) + 4*q(u). -u**2 + 2*u Let t(v) = 5*v**2 + 4*v - 8. Let s(l) be the first derivative of -l + 1/2*l**2 + 1/3*l**3 + 292. Calculate -4*s(m) + t(m). m**2 - 4 Let r(t) = -7766*t**2 + 26*t + 2. Let i(k) = 54363*k**2 - 195*k - 15. Calculate 2*i(z) + 15*r(z). -7764*z**2 Let l(m) = 6*m + 2. Let n(c) = -13*c - 30. Determine -3*l(a) - n(a). -5*a + 24 Let y(d) = -409*d**2 + 4*d - 1. Let o(u) = 2*u + 3. Give o(t) - y(t). 409*t**2 - 2*t + 4 Let m(h) = -575*h**3 - 6*h**2 + 24*h + 3. Let p(o) = -581*o**3 - 5*o**2 + 20*o + 3. Determine -5*m(y) + 6*p(y). -611*y**3 + 3 Let j(q) = 2*q**2 - 280*q + 19. Let u(p) = 4*p**2 - 561*p + 41. Determine -13*j(y) + 6*u(y). -2*y**2 + 274*y - 1 Let o(l) be the first derivative of 92*l**2 - 93*l**2 - l + 2*l - 35. Let j(g) = g - 2. Give 3*j(f) + 2*o(f). -f - 4 Let a(t) = 14*t**3 + 4*t**2 - 17*t - 14. Let x(g) = 2*g**3 - g**2 - 4*g - 3. What is a(c) - 6*x(c)? 2*c**3 + 10*c**2 + 7*c + 4 Let n(m) = m + 105 + 103 - 304 + 97 + 0*m. Let q(s) = -17. Give n(j) - q(j). j + 18 Suppose 2 + 10 = -4*o. Let l(j) = 12*j - 435. Let b(v) = -267*v + 9786. Let k(c) = -2*b(c) - 45*l(c). Let u(f) = 5*f - 2. What is o*u(x) - 2*k(x)? -3*x Let b = 1318 + -1312. Let k(y) = -2*y - 3. Let w(t) be the first derivative of 2*t + t - 5*t**2 + 4 - 7*t - 10*t. Calculate b*w(l) - 28*k(l). -4*l Let s(h) = -9*h - 8. Let z(i) = -2*i - 2. Let d = 52 + -48. Let c(k) = -23*k + 66. Let j be c(d). Calculate j*z(x) + 6*s(x). -2*x + 4 Let l(w) = 4*w**3 - 8*w**2 - 7*w + 5. Suppose 54 + 53 - 111 = 4*d. Let z(i) = i**3 - i**2 - i + 1. What is d*l(h) + 5*z(h)? h**3 + 3*h**2 + 2*h Let l(u) = -10*u**3 - 1366*u**2 + 103*u - 3. Let b(a) = -16*a**3 - 2186*a**2 + 163*a - 5. Give 12*b(y) - 19*l(y). -2*y**3 - 278*y**2 - y - 3 Let j(k) = -1. Let l(s) = -15*s**2 + 20*s - 3. Let f(i) = -16*i**2 + 15*i - 3. Let g(v) = 4*f(v) - 3*l(v). What is -g(z) + 3*j(z)? 19*z**2 Let w(i) = -i**2 + i + 1. Let a(z) = 19*z**3 + z**2 - z. Let d be ((3/(-4))/1)/((-585)/(-780)). Give d*a(x) - w(x). -19*x**3 - 1 Let f(b) = 4*b - 1742701*b**3 + b**2 + 0 - b + 1742700*b**3 + 0 - 2*b. Let j(u) = 2*u**3 - 6*u**2 - 3*u. Let v = 1 + 0. Determine v*j(o) + 3*f(o). -o**3 - 3*o**2 Let h(a) = 3034*a + 396. Let g(w) = -w + 33. Calculate -12*g(q) + h(q). 3046*q Let x(q) = q**2 + q - 5. Let d(u) = -29*u**2 + 12*u - 57. Give -2*d(h) + 22*x(h). 80*h**2 - 2*h + 4 Let g(b) be the second derivative of -b**4/12 + b**2/2 + 8*b + 325. Let v(a) = -34*a**2 + 2*a - 3. What is 3*g(l) + v(l)? -37*l**2 + 2*l Let q(r) = 8*r - 3. Let y(u) = 31 + 3 - 6 - 6 - 6 - 20 + 9*u. Let j be ((-5)/(-2))/(1/2). Let m(d) = -d**2 + 6*d. Let k be m(j). Give k*q(x) - 4*y(x). 4*x + 1 Let n(r) = -2*r + 2. Let l = 29253 + -29243. Let f(v) = -v + 1. Calculate l*f(i) - 3*n(i). -4*i + 4 Suppose -2*j = -j - 5*g + 3, -j = -3*g + 1. Let x(t) = -t + 5 - 36*t**2 + 2*t + 40*t**j + 2*t. Let i(a) = 5*a**2 + 3*a + 6. Determine -5*i(y) + 6*x(y). -y**2 + 3*y Let y(s) = -s - 1. Let q = 24 + -18. Let c be q - 2 - (4 + 1). Let l(d) = -5. Let h(z) = z. Let v(j) = -3*h(j) + l(j). Determine c*v(u) + 5*y(u). -2*u Let q(y) = 3*y - 238. Let o(j) = 29*j - 2141. Determine -2*o(i) + 19*q(i). -i - 240 Let u(t) = -5*t**3 - 5*t**2 - 7. Let g(o) = -o**2 - o - 1. Suppose -17*j - 5194 = -5109. Determine j*g(f) + u(f). -5*f**3 + 5*f - 2 Let l(u) = -3*u**2 + 229*u - 5. Let x(p) = 7*p**2 - 690*p + 17. What is -7*l(g) - 2*x(g)? 7*g**2 - 223*g + 1 Let r(f) = -19*f**3 - 5*f**2 + 2*f - 4. Let l(h) = -16*h**3 - 4*h**2 - 3. Give -5*l(c) + 4*r(c). 4*c**3 + 8*c - 1 Let w be 16/(160/230) - (-2)/1. Suppose -w*p - 13 = -12*p. Let a be 1 + -4 - (-1)/(-1). Let t(c) = 2*c + 1. Let d(m) = -m. Calculate a*d(i) + p*t(i). 2*i - 1 Let g(q) = 45*q**3 + 2*q**2 + 2. Let h(j) = -45*j**3 - 3*j**2 - 3. Suppose 30*w + 20 + 70 = 0. Determine w*g(p) - 2*h(p). -45*p**3 Suppose 5*o + 1 - 11 = 0. Let r = -112479 - -112483. Let k(c) = c**2 + 1. Let s(a) = -a**2 + a - 2. Determine o*s(b) + r*k(b). 2*b**2 + 2*b Let m(x) = -4 - 31*x + 98*x - 53*x - 39*x. Let d(l) = -l + 1. Calculate -3*d(v) - m(v). 28*v + 1 Let c(f) = 4750*f**3 - 28*f**2 - 27. Let s(d) = 2375*d**3 - 16*d**2 - 15. Give -4*c(m) + 7*s(m). -2375*m**3 + 3 Suppose -16*c = -15*c - 50. Suppose -c = -22*r + 12*r. Let p(q) = -5*q - 5. Let s(i) = 3*i + 3. Give r*p(m) + 8*s(m). -m - 1 Let o(a) = 1287*a**2 - 8*a - 5. Let u(c) = -643*c**2 + 5*c + 3. What is 3*o(k) + 5*u(k)? 646*k**2 + k Suppose 2*x + 99 = a, 2*x = -3*a - 0*a + 281. Let u = a - 115. Let y(o) = -3*o - 4. Let k(l) = -l - 1. Determine u*k(d) + 5*y(d). 5*d Let n(h) = -9272*h**2 - 305. Let z(l) be the first derivative of 61*l**3/3 + 2*l - 3212. What is 2*n(i) + 305*z(i)? 61*i**2 Let j(w) = 7*w - 30. Let k(d) = 8*d - 24. Calculate -3*j(o) + 4*k(o). 11*o - 6 Let p(r) = -985*r**3 - 2*r**2 + 3*r + 2. Let g(o) = -7*o**3 - 2*o**2 + o + 1. Give -g(y) + p(y). -978*y**3 + 2*y + 1 Let s(m) = m**2 + 1. Let a(g) = -14 + 4*g**2 + 30 + 2*g**2 - 11. Determine 2*a(u) - 11*s(u). u**2 - 1 Let p(s) = 13*s + 42. Let n(w) = 36*w + 121. Determine 4*n(o) - 11*p(o). o + 22 Let h(f) = 36*f - 201. Let g(q) = -19*q - 1. Determine -2*g(s) - h(s). 2*s + 203 Let g(y) be the third derivative of -y**2 + 0*y**4 + 0 + 18*y - 26/15*y**5 - 16/3*y**3. Let n(h) = 16*h**2 + 5. What is -5*g(v) - 32*n(v)? 8*v**2 Let b(z) = -7*z**2 + 2*z - 2. Let s(k) = -8*k**2 + k - 3. Let v = -11446 - -11444. What is v*s(d) + 3*b(d)? -5*d**2 + 4*d Let c(d) = -2*d**3 + 13*d - 4. Let w(r) = r**3 - 6*r + 2. Let b = 232 + -410. Let x = 182 + b. Determine
{ "pile_set_name": "DM Mathematics" }
111 What is the d'th term of 15, 38, 87, 168, 287, 450, 663, 932? d**3 + 7*d**2 - 5*d + 12 What is the h'th term of 34416, 34426, 34438, 34452, 34468? h**2 + 7*h + 34408 What is the o'th term of -1593, -3196, -4805, -6420? -3*o**2 - 1594*o + 4 What is the q'th term of -390, -865, -1422, -2061, -2782, -3585, -4470? -41*q**2 - 352*q + 3 What is the w'th term of 92454, 184912, 277372, 369834? w**2 + 92455*w - 2 What is the w'th term of 16718222, 16718226, 16718232, 16718240, 16718250? w**2 + w + 16718220 What is the p'th term of 906, 885, 864? -21*p + 927 What is the x'th term of -4653, -9300, -13931, -18540, -23121? x**3 + 2*x**2 - 4660*x + 4 What is the n'th term of 73, -237, -1077, -2711, -5403? -44*n**3 - n**2 + n + 117 What is the f'th term of 17210, 17174, 17138? -36*f + 17246 What is the y'th term of 1790, 7144, 16066, 28556, 44614? 1784*y**2 + 2*y + 4 What is the h'th term of 27, -10, -55, -114, -193, -298, -435? -h**3 + 2*h**2 - 36*h + 62 What is the o'th term of 547, 2188, 4921, 8746, 13663, 19672? 546*o**2 + 3*o - 2 What is the s'th term of 11888, 23775, 35662, 47549? 11887*s + 1 What is the l'th term of 1344, 1083, 818, 549, 276, -1, -282? -2*l**2 - 255*l + 1601 What is the p'th term of 49, 301, 959, 2227, 4309, 7409? 34*p**3 - p**2 + 17*p - 1 What is the f'th term of -590, -561, -530, -497, -462? f**2 + 26*f - 617 What is the j'th term of 99538, 99551, 99572, 99601, 99638? 4*j**2 + j + 99533 What is the y'th term of -224, -450, -724, -1070, -1512, -2074? -4*y**3 - 198*y - 22 What is the o'th term of 629, 1012, 1395, 1778, 2161, 2544? 383*o + 246 What is the m'th term of 12193, 12178, 12157, 12130, 12097? -3*m**2 - 6*m + 12202 What is the x'th term of 461, 914, 1359, 1802, 2249, 2706? x**3 - 10*x**2 + 476*x - 6 What is the q'th term of 151747, 606983, 1365711, 2427931? 151746*q**2 - 2*q + 3 What is the p'th term of -386, -1481, -3278, -5771, -8954, -12821, -17366, -22583? p**3 - 357*p**2 - 31*p + 1 What is the c'th term of -1858635, -1858638, -1858641, -1858644, -1858647? -3*c - 1858632 What is the c'th term of -4763, -9527, -14291, -19055? -4764*c + 1 What is the x'th term of -9176, -36616, -82308, -146246, -228424? x**3 - 9132*x**2 - 51*x + 6 What is the b'th term of 31, 47, 119, 283, 575, 1031, 1687, 2579? 6*b**3 - 8*b**2 - 2*b + 35 What is the z'th term of 588, 610, 632, 654? 22*z + 566 What is the b'th term of 1820, 1070, 308, -472, -1276, -2110, -2980? -b**3 - 743*b + 2564 What is the x'th term of -2552, -5161, -7770, -10379, -12988, -15597? -2609*x + 57 What is the z'th term of -6063, -6070, -6073, -6066, -6043, -5998? z**3 - 4*z**2 - 2*z - 6058 What is the x'th term of -141303, -141301, -141299, -141297, -141295, -141293? 2*x - 141305 What is the m'th term of 832425, 1664849, 2497273, 3329697, 4162121, 4994545? 832424*m + 1 What is the t'th term of 785, 1598, 2433, 3302, 4217, 5190? 2*t**3 - t**2 + 802*t - 18 What is the a'th term of -580, -855, -1286, -1879, -2640, -3575? -a**3 - 72*a**2 - 52*a - 455 What is the y'th term of -176, -1405, -4744, -11249, -21976, -37981, -60320, -90049? -176*y**3 + y**2 - 1 What is the f'th term of 36, 182, 412, 726? 42*f**2 + 20*f - 26 What is the o'th term of -2052, -1951, -1776, -1521, -1180, -747, -216, 419? o**3 + 31*o**2 + o - 2085 What is the u'th term of -1243, -2471, -3723, -4999, -6299? -12*u**2 - 1192*u - 39 What is the b'th term of 332, 1139, 2452, 4247, 6500? -4*b**3 + 277*b**2 + 4*b + 55 What is the n'th term of -6581114, -6581115, -6581116? -n - 6581113 What is the k'th term of -15, 141, 559, 1371, 2709, 4705? 22*k**3 - k**2 + 5*k - 41 What is the d'th term of -697, -1680, -2663? -983*d + 286 What is the f'th term of 2646, 2790, 2920, 3030, 3114? -f**3 - f**2 + 154*f + 2494 What is the l'th term of -181, 106, 393? 287*l - 468 What is the g'th term of -2617, -10346, -23225, -41254, -64433, -92762, -126241? -2575*g**2 - 4*g - 38 What is the s'th term of -18564, -18562, -18560, -18558, -18556? 2*s - 18566 What is the u'th term of 685, 2852, 6463, 11518, 18017? 722*u**2 + u - 38 What is the q'th term of -78238, -78236, -78234, -78232, -78230? 2*q - 78240 What is the i'th term of -1119632, -1119631, -1119630? i - 1119633 What is the x'th term of 127, 524, 1191, 2128, 3335, 4812, 6559? 135*x**2 - 8*x What is the n'th term of -137279, -137277, -137275, -137273, -137271? 2*n - 137281 What is the z'th term of -1347, -2104, -4157, -8154, -14743? -108*z**3 - z - 1238 What is the c'th term of 341, 590, 839? 249*c + 92 What is the w'th term of 2017, 1910, 1803? -107*w + 2124 What is the z'th term of 286, 248, 196, 130, 50, -44, -152? -7*z**2 - 17*z + 310 What is the a'th term of 344, 365, 398, 449, 524, 629, 770? a**3 + 14*a + 329 What is the k'th term of 651, 1519, 2387, 3255, 4123, 4991? 868*k - 217 What is the m'th term of -266, -38, 186, 406, 622? -2*m**2 + 234*m - 498 What is the b'th term of 2430, 4874, 7342, 9846, 12398, 15010, 17694? 2*b**3 + 2430*b - 2 What is the x'th term of -1547, -1588, -1643, -1718, -1819, -1952, -2123, -2338? -x**3 - x**2 - 31*x - 1514 What is the c'th term of 4957, 5043, 5187, 5389, 5649, 5967? 29*c**2 - c + 4929 What is the w'th term of -34, -40, -28, 14, 98, 236? 2*w**3 - 3*w**2 - 11*w - 22 What is the p'th term of 42706, 42710, 42716, 42724, 42734, 42746? p**2 + p + 42704 What is the j'th term of 24487704, 24487703, 24487702, 24487701? -j + 24487705 What is the h'th term of 99424, 198820, 298228, 397654, 497104, 596584, 696100? h**3 + 99389*h + 34 What is the v'th term of -4919, -39690, -134065, -317846, -620835, -1072834? -4967*v**3 - 2*v + 50 What is the o'th term of -20, 42, 106, 172? o**2 + 59*o - 80 What is the h'th term of 262565, 262555, 262531, 262487, 262417, 262315, 262175? -h**3 - h**2 + 262567 What is the g'th term of -4009, -4019, -4031, -4045, -4061, -4079? -g**2 - 7*g - 4001 What is the j'th term of -125116, -250233, -375350, -500467, -625584? -125117*j + 1 What is the p'th term of 12881, 12879, 12877? -2*p + 12883 What is the g'th term of -1894, -1870, -1822, -1738, -1606, -1414? 2*g**3 + 10*g - 1906 What is the p'th term of -47049, -47052, -47057, -47064, -47073? -p**2 - 47048 What is the o'th term of 99, -246, -811, -1590, -2577, -3766? o**3 - 116*o**2 - 4*o + 218 What is the n'th term of 12420, 24852, 37298, 49758, 62232? 7*n**2 + 12411*n + 2 What is the f'th term of -21480, -42962, -64444? -21482*f + 2 What is the s'th term of -78, 199, 476, 753, 1030, 1307? 277*s - 355 What is the q'th term of -198, -372, -650, -1032, -1518? -52*q**2 - 18*q - 128 What is the x'th term of 10597, 21187, 31777, 42367? 10590*x + 7 What is the z'th term of -4080, -4002, -3926, -3852, -3780, -3710, -3642? -z**2 + 81*z - 4160 What is the q'th term of -13702, -27303, -40904? -13601*q - 101 What is the o'th term of 362, 831, 1408, 2093, 2886, 3787? 54*o**2 + 307*o + 1 What is the b'th term of -78, -23, 74, 213? 21*b**2 - 8*b - 91 What is the u'th term of -69, -143, -219, -303, -401, -519, -663? -u**3 + 5*u**2 - 82*u + 9 What is the m'th term of -148072, -296150, -444230, -592312, -740396, -888482, -1036570? -m**2 - 148075*m + 4 What is the u'th term of -4240, -4201, -4152, -4087, -4000, -3885, -3736? u**3 - u**2 + 35*u - 4275 What is the j'th term of -19983, -19985, -19989, -19995? -j**2 + j - 19983 What is the u'th term of -2266, -2082, -1898? 184*u - 2450 What is the f'th term of -5047, -10280, -15503, -20710, -25895, -31052? f**3 - f**2 - 5237*f + 190 What is the c'th term of 219, 157, 81, -15, -137, -291, -483? -c**3 - c**2 - 52*c + 273 What is the w'th term of -23377, -23421, -23547, -23797, -24213, -24837? -7*w**3 + w**2 + 2*w - 23373 What is the s'th term of 0, 25, 62, 111, 172, 245? 6*s**2 + 7*s - 13 What is the p'th term of -8473, -8494, -8535, -8602, -8701, -8838, -9019, -9250? -p**3 - 4*p**2 - 2*p - 8466 What is the f'th term of -217, -454, -693, -934, -1177, -1422, -1669? -f**2 - 234*f + 18 What is the r'th term of 40593, 162234, 364963, 648774, 1013661? -r**3 + 40550*r**2 - 2*r + 46 What is the q'th term of -18141, -72627, -163441, -290577, -454029? q**3 - 18170*q**2 + 17*q + 11 What is the h'th term of 473, 1663, 3639, 6395, 9925, 14223, 19283, 25099? -h**3 + 399*h**2 + 75 What is the q'th term of 2235, 4518, 6831, 9180, 11571, 14010, 16503, 19
{ "pile_set_name": "DM Mathematics" }
3.365. Let c = 3 + f. Let i = 0.3 - 0.5. What is the third smallest value in i, 7/5, c? 7/5 Let h = -507.03 - -510. Let g = 0.03 + h. What is the second biggest value in -1/2, g, -2/13? -2/13 Let m = -234.43 - -235. Which is the smallest value? (a) -2 (b) -3/4 (c) -0.1 (d) m a Let m(r) = -19*r**2 - 1. Let y be 1/(-1) + 3 + -4. Let g be m(y). Let j = 229/3 + g. Which is the biggest value? (a) 0.5 (b) j (c) -0.1 a Let o = 29.8 - 28.8. Which is the smallest value? (a) -3 (b) 11 (c) o (d) 0 a Let t = -1213.059 + 1218. Let j = t + 0.059. Which is the second biggest value? (a) j (b) -2/3 (c) 0.4 (d) 1/3 c Suppose 4*f - 2*f = 24. Let w = f - 10. Let v = -3.6 - 0.4. Which is the smallest value? (a) -6 (b) v (c) w a Let d(o) = 3*o - 47. Let l be d(17). What is the second smallest value in l, 0.33, 0.1? 0.33 Let v be (16/(-70))/((-360)/252). Which is the second smallest value? (a) -2/19 (b) -0.1 (c) v b Let g(l) = l**2 - 3*l - 1. Let k be g(4). Suppose k*q - 5*q - 36 = 0. Let v be 2 + q/(9/(-3)). Which is the biggest value? (a) v (b) -5 (c) 1/6 a Suppose 4*m - 3*m = -p - 7, -6 = 3*p. Which is the third biggest value? (a) -9 (b) -6 (c) m a Let o = 2278 + -2282. What is the second smallest value in o, 82, 0.2? 0.2 Suppose 0 = -0*r - 2*r - 10. Suppose 0 = 5*f + f + 162. Let s = f + 29. What is the smallest value in s, r, 0.3? r Let r = 4.25 + -4.29. Which is the fourth smallest value? (a) 2/3 (b) 1 (c) 1/3 (d) r b Let p = -0.2 + -0.3. Let q = -1.38 - 0.62. Let d be (0 + 2)*(-2)/(-8). Which is the biggest value? (a) d (b) q (c) p a Suppose -5*k - 5*m + 75 = 0, -k + 4*m = 3*m - 5. Let f = 281 + -270. Let r = k - f. What is the second smallest value in r, 4, 0.5? 0.5 Let l be (-15)/84 + (-3)/(-7). What is the second smallest value in l, 3/4, 4, 7/3? 3/4 Let i = -2.9 + -0.1. Let t = i - -2.7. Let d = -149/124 + 14/31. Which is the third smallest value? (a) d (b) t (c) 2/5 c Let u = -167 - -166.9. Let k = 0 - 0.2. What is the second biggest value in u, k, 0.1? u Let o be 4 - (1 + (-190)/(-60)). Let f = -0.03 - 0.17. What is the second biggest value in 0.1, o, f? o Let t = -0.3 + -0.6. Let d = t + -0.1. What is the smallest value in d, -1/3, -0.02? d Let i = -0.08 + 0.38. Suppose -23*v - 10 - 129 = -24. Which is the smallest value? (a) i (b) 3 (c) v c Let n(q) = 83*q - 2659. Let g be n(32). Let h = 0.2 - 2.2. Which is the fourth biggest value? (a) 0.7 (b) 0.4 (c) g (d) h c Let f = -725 - -722. Which is the third biggest value? (a) f (b) -1 (c) -48 c Suppose 5*h = 2*w + 26, 2*h = -2*w - 2*h + 10. Let y = -926 + 4627/5. What is the fourth biggest value in 3, y, 1, w? w Let n = 5.93 - 0.53. Let k = -5.2 + n. What is the third smallest value in -1, k, -8? k Let v be (-4)/(-14) - (-45)/(-84). Let d = -92/13 - -90/13. What is the second biggest value in d, v, 2? d Let y be -1 + ((-9)/(-18) - (-1 - -1)). Let b = -0.03 + -4.97. What is the third biggest value in 4, y, b? b Let z = 65.004 - 78.08. Let g = z - -0.076. What is the smallest value in -2, 0.3, g? g Suppose -a - 5 + 4 = 0. Let o = -5576236154/26042861 - -2/1531933. Let q = -214 - o. What is the second smallest value in -4, q, a? a Suppose 2*g + 1 = -r, 4*r - 5*g + 4*g = 14. Suppose r*x = 1 - 1. What is the fourth biggest value in -0.1, -1, 4, x? -1 Let n = 0.038 + 1.962. What is the smallest value in -19, n, -0.3, 1? -19 Let u = -32281/23 - -1403. What is the fourth biggest value in u, -3, 0.3, 1/12? -3 Let u = -721 + 722.9. What is the biggest value in u, 0.1, 0, 1/2? u Let x = -2.39 + 2.41. What is the second smallest value in 0.5, -0.1, 2, x? x Let i = 0.913 - 2.913. What is the biggest value in 2/19, i, 0.1? 2/19 Let h be -2 + (-4)/(-14) - (16 - 18). Let d be 109 + (-1 - 0)*-2. Let b be d/135 + (-2)/9. What is the third biggest value in h, b, -1/2? -1/2 Let t = -131 + 130.7. Which is the third smallest value? (a) 2 (b) 4 (c) t (d) -0.5 a Let o = -320 + 315. Which is the second biggest value? (a) -35/9 (b) o (c) -2/7 a Let v = -22.2 - -27. Let h = v - 0.8. Which is the smallest value? (a) h (b) 0.2 (c) -2/5 (d) -1/6 c Let n = -0.5 - -1. Let l = 0.39764 - -0.00236. What is the second biggest value in n, 38, l? n Let m = -414.8 - -415. What is the third smallest value in -2/7, m, -1/4? m Let x = 1861 - 1861. What is the smallest value in x, -4, -214? -214 Let y be (2/12)/((-2)/(-18)). Let h(f) = -f - 17. Let m be h(-13). What is the third biggest value in y, -0.2, m? m Let k(w) = -w**2 + 7*w - 10. Let g be k(7). Let x = -6 - g. Let v = -5.2 - -5.4. Which is the second smallest value? (a) x (b) 2/3 (c) v b Let h = 48 - 55.2. Let g = h + 12. Let d = g + -5. What is the biggest value in d, -0.5, -4? d Let y = -7.3 - -7. Let g = y - -0.1. Let a be 9/6 - (-3)/(-5)*(-100)/40. What is the second smallest value in 2/11, a, g? 2/11 Let i be (34/(-3))/(4/96). Let a = i - -1105/4. Let o = a + -15/4. What is the smallest value in -5, -5/4, o? -5 Let d(j) = 12*j**3 - 3*j**2 - 3*j - 1. Let u be d(-2). Let n = u - -419/4. Let h = 2787 - 2792. Which is the biggest value? (a) h (b) -2/17 (c) n c Let f(x) = -x**3 + 28*x**2 - 74*x - 28. Let p be f(25). Which is the biggest value? (a) 0.01 (b) 3/4 (c) 6 (d) p c Let h(p) = p**2 + 6*p - 3. Let m be (-2)/(1 + (-6)/10). Let y be h(m). Let n = -17 + 13. What is the third biggest value in -0.3, y, n? y Let b(p) = -17*p - 464. Let u be b(-27). What is the fourth biggest value in u, 3, 1.2, -2/11? u Let s = 2.3 + 4.7. Let g = -7.2 + s. Let i = 130 + -913/7. What is the third smallest value in g, 0.4, i? 0.4 Let v = -2.4 + 2.61. Let h = v + 0.09. Which is the third biggest value? (a) h (b) 17 (c) 1/3 a Let u(l) = l**2 + l + 2. Let p be u(0). Suppose 0 = -j - 2*j + p*m + 23, 4*j = 5*m + 40. What is the biggest value in 0.3, 0.1, j? j Let q be -2*(-3)/8*4. Let w(h) = h**2 - 25*h - 53. Let y be w(27). Which is the biggest value? (a) q (b) y (c) 0.1 a Let i be (6/3 - 1)*5/1. Let r = -71 - -70.8. Which is the fourth smallest value? (a) i (b) r (c) -3 (d) 2.2 a Let s = -256 - -251. Which is the third smallest value? (a) s (b) -10/11 (c) 1 (d) 2 c Let o(h) = -h**3 - h**2 - 4*h - 3. Let w be o(0). Which is the fourth smallest value? (a) w (b) 2 (c) -0.12 (d) -2/7 b Let a = -309/4 + 77. What is the second biggest value in -4, a, 3? a Let d be (54/(-270))/((-2)/(-15)). Let k = -2 + 0.8. Let y = k - -1. Which is the second biggest value? (a) y (b) -1/2 (c) d b Let h = -14.5 - -11. Let p = h + -12.5. Let a = 16 + p. What is the second smallest value in a, 3/2, 0.3? 0.3 Let p be 20/(-8)*9*7/105. Which is the second smallest value? (a) 4 (b) 16 (c) -5 (d) p d Let z = 0.31 + -3.91. Let y = 11 + -7.6. Let o = z + y. Which is the second biggest value? (a) -3 (b) 5 (c) o c Let t = -2/27 + -40/189. Let f = 0.2 - -0.1. Let i = -0.5 + f. Which is the third biggest value? (a) i (b) t (c) -2 c Let l be 25/4 - (-1)/(-4). Which is the biggest value? (a) -8 (b) 1 (c) l c Let y(m) = 2*m - 12. Let z be y(11). Which is the second biggest value? (a) 2 (b) -3/4 (c) z a Let f(i) = -15*i - 101. Let y be f(-7). What is the biggest value in 14, y, -0.3? 14 Suppose 5*n + 4*y = 7*n - 22, 9 = -3*y. Let f = 3/47 - 104/893. Which is the smallest value? (a) f (b) 2 (c) n a Let j = 0.3 - 0.5. Let n = j - -0.5. Let z = -12 + 12.2. What is the smallest value in n, -3, z? -3 Let i be 0 - 0 - 6/66*-2. Which is the second biggest value? (a) -49 (b) i (c) 0.3 b Suppose 2 + 2 = -4*o. Suppose 3*p - 2 = 4. Let k be (p - o)/(5 + 0). What is the second biggest value in k, -0.1, 1/7? 1/7 Let o(r) = -r**3 + 7*r**2 + 9*r - 12. Let f be o(8). Let c = -47 + 43. Let d be (c/6)/(f/(-42)). What is the second biggest value in 2/3, -2/17, d? -2/17 Let z(m) = 2*m - 2. Let i be z(6). Let a be (80/(-56))/(1/(-7)). Let s be ((-4)/a)/(9/i). What is the biggest value in -1/4, s, 0? 0 Let f = 39 + -38.8. Which is the third biggest value? (a) -20 (b) 2 (c) f a Let g be (18/8)/((-2)/8). Let k be (-3 - g)/(9/(-2)). Suppose 2*n + 8 = -0*n. What is the third biggest value in k, n, 0.1? n Suppose -14*c = 188 - 34. Let s be (-12)/c*(-9)/(-18). Let r = 1/322 - 653/2898. What is the biggest value in -1, s, r? s Let o be 5*(2914/(-155))/(-5 + 0). Wh
{ "pile_set_name": "DM Mathematics" }
9 = y*b - 0*b for b. 3 Let c be (-19)/(-57) + (-4)/(-6). Solve -5 + c = 2*u for u. -2 Let f be 2/(-1) - (0 + -2). Let h be (-28)/(-12) + 1/(-3). Suppose 5*m + h = 6*m. Solve 4*s - 10 - m = f for s. 3 Let v = -26 - -28. Solve -4 + 6 = v*g for g. 1 Let h(z) = -z - 1. Let c be 1 + 0 - (0 + 7). Let o be h(c). Let w = 1 + 6. Solve -o*i = -w - 8 for i. 3 Let t(p) = p**2 + 6*p - 6. Let h be t(-12). Let i = -21 + h. Suppose 0 = 5*z - i - 25. Solve 3*f = -z + 2 for f. -4 Let c = 9 - 6. Suppose 0 = g + c*g. Let a = 54 + -50. Solve -a*u - u = g for u. 0 Let z(r) = -r**2 + 8*r - 13. Let k be z(4). Solve 4*j - 5*j = k for j. -3 Let t be (2 - 7)/(3 + -4). Solve 0 = 2*f - t*f + 12 for f. 4 Let f be 0/(-2) + -3 - -1. Let z be 5 + (f - (-6 - -3)). Let c be 4/z - 2/3. Solve 0*n - n = c for n. 0 Let u = -4 - -6. Suppose 2*r - 13 = -2*r - l, 7 = 4*r + 3*l. Let m = r - u. Solve -m*n = n for n. 0 Let p be ((-15)/10)/(9/(-12)). Solve p*l = -l + 12 for l. 4 Let u = -21 + 28. Suppose 18 = u*x - 5*x. Solve 2*p - x - 1 = 0 for p. 5 Suppose -r + 9 = 2*r, -r + 15 = 4*z. Solve -z*m - 16 = -7*m for m. 4 Let x be (-14)/(-1) + 5/(-5). Solve -1 = -3*a - x for a. -4 Let w(d) = d**3 - 12*d**2 + 12*d - 9. Let y be w(11). Solve -y*p + 4*p + 2 = 0 for p. -1 Suppose 0 = 4*g - 2*x - 6, -2*g - 5 = -5*x - 4. Suppose -g*h - h + 12 = o, -3*o + 9 = 0. Let i be 1/(-5) - (-1)/5. Solve i = h*n - n for n. 0 Let x(t) = -t**3 - t**2 + 4*t + 4. Let k be x(-2). Solve k = 3*u - 0*u + 9 for u. -3 Let h(m) be the second derivative of m**4/12 + 2*m**3/3 + m**2/2 + m. Let z be h(-4). Let b be (-2)/5 + (-6)/(-15). Solve c + z + 1 = b for c. -2 Suppose -8 = -2*s - 2*s. Let h be -2 + 3*(-4)/(-6). Suppose z + 28 = 3*z. Solve 4*i + s - z = h for i. 3 Let u be 3 - 0*(-4)/(-16). Solve 5 = u*q + 17 for q. -4 Suppose 4*s = 0, 4*b - 10 = -s + 2. Let i(v) = -v**2 + 7*v - 3. Let j be i(4). Suppose -j = b*c - 4*c. Solve 2*h + c = -1 for h. -5 Suppose 5*q - 3*a = 47, 3*a - 6 - 7 = -q. Suppose n = -n + q. Solve 4 + 21 = n*o for o. 5 Let p = -8 + 16. Let d(y) = 8*y**2 - 1. Let g be d(-1). Let s be g/2 - 4/p. Solve -s*h - 4 = -h for h. -2 Let g = 32 + -22. Let l = 4 - 1. Solve g = -l*c + c for c. -5 Let i(u) = -u**2 + 6*u - 6. Let j be i(4). Solve -1 - j = 3*q for q. -1 Let i = 15 - 11. Solve i*t + 5 = -11 for t. -4 Let l be 2/(-7) - (-46)/14. Suppose w + 10 = 3*a, 14 = -5*w - l*a + 54. Solve -w*r - 2 - 13 = 0 for r. -3 Suppose 0 = -3*v + 13 - 7. Solve v*j = 3*j + 1 for j. -1 Suppose -4*w = 2*g - 26, -g = w - 5*w - 25. Solve 0 = -5*u - g - 8 for u. -5 Let t(o) = o**2 + 6*o + 2. Let s be t(-5). Let v be (-6)/4*(15 + s). Let u be v/4*(-4)/6. Solve 0*z + 6 = u*z for z. 2 Suppose r = o - r - 1, 0 = -3*o - 5*r - 8. Let q be -2*1 + 2 + 1. Let t = q + o. Solve -3*b = -3 - t for b. 1 Let n be 2/(-4)*(3 + -2 + -5). Solve 4*t = n*t + 10 for t. 5 Let s be (-4 - -5) + 1/1. Suppose 10 = 7*m - s*m. Solve -m*u = -3*u for u. 0 Suppose -2*a - 6 = 0, 0 = s - a - 5. Suppose -7*n = -s*n. Solve 2*g = -n*g for g. 0 Let m = 18 - 18. Solve n + 1 = -m for n. -1 Suppose 0 = c - 17 + 13. Solve -k + c*k = 0 for k. 0 Let c(l) = -2*l**2 + 3*l + 2. Let f be c(2). Solve -5 + f = 5*y for y. -1 Suppose 32 = 5*s - 4*f, 0 = 2*s - 5*f - 16 - 7. Solve s*v + 6 = -2 for v. -2 Let h(u) = 6*u - 4. Let n be h(4). Suppose 0 = -2*g - 4*c, -2*c = -2*g - c - n. Let i = g + 15. Solve 8 + i = -3*d for d. -5 Let k be (1/(-2))/(1/(-4)). Solve -25 = -7*c + k*c for c. 5 Let s be ((-21)/(-4) - 5) + (-45)/(-12). Solve 3*u - s*u + 2 = 0 for u. 2 Let r(l) = -l**2 + 7*l - 2. Let m be r(6). Let v be 10/m + 6/12. Solve -2*c + 11 = v for c. 4 Let k = -14 - -4. Let c = k - -18. Solve 2*t + 0*t = c for t. 4 Let m be (0 + 0)/4 - -3. Solve -1 = -4*g + m for g. 1 Suppose -3*m + 5*d - 2 = 0, 2*m + 4*d + 9 = -7. Let v be m/(-8)*(9 - 1). Suppose 2*y = 4*u + 2, -5*y + 0*u + v*u = -5. Solve -a + 3 = -y for a. 4 Let t = -28 - -38. Solve -t = x + 4*x for x. -2 Let b be 56/5 + 2/(-10). Let p = b - 9. Solve 0 = u + p + 3 for u. -5 Let l(q) = -q - 1. Let p be l(-5). Let k be (1/(-1))/((-2)/8). Suppose -s + 4*f = 2, -3*f = -k*s - 1 + 6. Solve -2 = p*j - s*j for j. -1 Let g(u) = -u**3 + 5*u**2 + 2*u - 1. Let z be g(5). Let m(y) = -y**3 + 4*y**2 - y - 3. Let w be m(3). Solve w*v + z = -0 for v. -3 Let u(r) = r - 5. Let t be u(9). Suppose -t = -2*f + 2. Suppose -2*l + f = 1. Solve -15 - l = 4*h for h. -4 Suppose 5*m + 4*t - 46 = -0*t, m + 2*t = 14. Suppose y - m*d = -d + 12, 0 = -3*y - 5*d - 4. Solve 0*j = -y*j for j. 0 Suppose 2*f - 5*f = 0. Solve f = 3*z + 2*z - 10 for z. 2 Let k = 54 + -50. Let a = 8 - 5. Solve k*o = o - a for o. -1 Let k = 51 + -51. Solve 4*a = -k*a for a. 0 Let x be 32/3*(-21)/14. Let z be (-2)/(((-2)/x)/(-1)). Let y be 0/2 - z/(-2). Solve 7 = -5*v - y for v. -3 Let p = -12 - -15. Solve -3*v = -9 - p for v. 4 Let n(t) = -5*t + 45. Let a be n(9). Suppose 3*u - 3*y + 4*y - 4 = 0, 5*y = 5*u - 40. Suppose -u*v + 6 = -0*v. Solve a = -f + v*f + 4 for f. -4 Suppose -5*u - p = -9 - 8, 0 = u + 5*p - 13. Solve 2*z - u*z - 2 = 0 for z. -2 Let v = 34 - 34. Solve v = q - 2 + 5 for q. -3 Let h be (-2)/(1*(-10)/25). Solve -4*x - x = -h for x. 1 Let a(l) be the third derivative of l**4/24 + 3*l**2. Let w be a(5). Solve -14 = -w*h + 1 for h. 3 Suppose -i = 3*i. Let z be (-4)/(-10) + (-9)/(-15). Let o(d) = d - 1. Let f be o(z). Solve i = 3*u - f*u - 12 for u. 4 Let s(t) = -2*t - 7. Let u be s(-6). Solve -u*h - 1 + 6 = 0 for h. 1 Let o = 7 - -1. Solve 4 = -d + o for d. 4 Let f(w) = w + 4. Suppose n + 3 + 0 = 0. Let r be f(n). Suppose -21 = -2*a - r. Solve -a = -5*u - 0 for u. 2 Let l = -5 + 23. Suppose 3*v = -v + t + l, 3*t = -4*v + 26. Let h(c) = -c - 13. Let m be h(-16). Solve m*g - 4 = v*g for g. -2 Suppose 32 = u - 4*l + 5, 0 = u - 3*l - 22. Solve -6*c + u = 37 for c. -5 Let l(r) = r**2 - 14*r - 15. Let i be l(15). Let p(g) = -g**3 - g**2 - 1. Let a be p(-2). Solve c = -i*c - a for c. -3 Suppose -4*p - b = -15, -p = b - 1 - 5. Solve 2*l - 25 = -p*l for l. 5 Let m = 13 - 13. Solve -l + 4 = -m*l for l. 4 Let r(j) = 2*j + 5. Let g be r(-5). Let f = 5 + g. Suppose 0 = p + c, p + f - 12 = 3*c. Solve 3*n + p = -0 for n. -1 Suppose 3*k + 1 = 4*k. Suppose 2*o - t = -0*o + k, -4*o - 4*t = -8. Solve 1 = 2*x - o for x. 1 Let p(c) = 2*c - 9. Let j be p(6). Solve 0 = 4*x - j - 1 for x. 1 Let m = 28 + -24. Solve -m*q = -3*q - 5 for q. 5 Let h be 2 + -2 + 3 - -1. Suppose -t - 3 = -0*u - h*u, 3*u - 8 = -5*t. Solve -z - 5 = -t for z. -4 Suppose -5*n + 3*n + 3*g = 5, -2*g = 2*n. Let z be (-1)/(n*(-2)/(-26)). Solve 0 = -2*t - 3 + z for t. 5 Suppose -9 = -5*d + 1. Let c be (0 + d)/((-2)/(-4)). Solve j + c = 3*j for j. 2 Let a(h) = -3*h. Suppose -3*x + 5*x - 3*v = -16, v = 4*x + 12. Let t be a(x). Let n(y) = -y**2 + 6*y + 2. Let i be n(t). Solve m - i*m = 1 for m. -1 Let k(u) = u**2 - u + 15. Let w be k(0). Solve 3*t + 0 = w for t. 5 Suppose 0 = 2*f + 4 - 12. Suppose -146*s = -144*s - 8. Solve 4*r + s = -f for r. -2 Suppose 4*g + 3 = -5. Let m be 4 - (2 - 3 - g). Suppose -m*l - 2*y + 33 = 3*y, -27 = -3*l - 3*y. Solve -5*k + 1 = -l*k for k. -1 Let q(i) = i**2 + i - 4. Let t be q(2). Solve -23 = -5*g + t for g. 5 Let l(w) = 2*w**3 - 4*w**2 - 3*w - 2. Let n be l(4). Let c be (160/n)/(2/5). Solve 2*g = c + 2 for g. 5 Suppose -3*m = -0*m + 3. Let n be 7 + (-1)/(m + 2). Suppose 0*b - n = -3*b. Solve 8 + 2 = b*y for y. 5 Suppose 6*j = 2*j + 20. Solve 2*z - j - 3 = 0 for z. 4 Let d be (2 + -1)*(-3 - -4). Suppose -5 = -2*j - d. Solve -3*v - 3 = -j*v for v. -3 Let z = 4 - 3. Suppose -d + 6 - z = 0. Let q be ((-12)/(-21))/(18/315). Solve -d*a + q = -10 for a. 4 Let p(v) = -v**3 + 3*v**2 - 3*v + 3. Let z be p(2). Solve -d = -z - 0 for d. 1 Suppose -2 = 4*z - 18. Solve 2 = -z*g + 3*g for g. -2 Let w = 32 + -29. Solve -j - w = 2*j for j. -1 Let x be ((-3)/6)/(3/(-18)). Solve 0 = -x*t - t - 8 for t. -2 Suppose -c = -4*c + 3. Let t(s) = 1 - s - 2 + 2*s. Let d be t(c). Solve d = -b + 4*b - 12 for b. 4 Let b(r) = r**3 + 3*r**2 - 8*r - 5. Let c be b(-5). Let g = 48 - 49. Let a be 1/((g + -2)/c). Solve 2*y - a = -13 for y. -4 Let i be 2/(-8)*-4 + (7 - 4). Suppose 3*y - 3*o = 4*y - 21, 2*y + 5*o = 37. Let d(l) = -l**3 + 5*l**2 + 8*l - 8. Let p be d(y). Solve p*z = 3*z + i for z. 4 Let y = 52 - 49. Solve -5 = -y*j + 8*j for j
{ "pile_set_name": "DM Mathematics" }
et t be m(j). What is the highest common factor of 80 and t? 8 Let f(d) = d**2 - d + 22. Let s be f(-8). Calculate the highest common factor of s and 658. 94 Suppose 5*p = -26 - 49. Let z(o) = -o**2 - 17*o + 22. Let q be z(p). What is the greatest common factor of q and 78? 26 Let k = 687 - 398. Suppose k = 11*s + 80. Calculate the highest common factor of s and 57. 19 Suppose -2*i = -39 - 291. Let l = -71 - -335. Suppose -141*v + l = -137*v. What is the greatest common factor of v and i? 33 Let w = 629 - 373. Suppose -k = 47 - w. Calculate the highest common divisor of k and 19. 19 Suppose 68 = 5*p - 9*p. Let j be (-1 - p) + 1*-3. What is the highest common divisor of 13 and j? 13 Let z(g) = g**3 - g**2 - 3*g + 5. Let d be z(5). Let j be 10*((-16)/4 - -5). Calculate the highest common factor of d and j. 10 Suppose 96 - 84 = 3*p. Suppose -5*o + c + 624 = 0, 108 = -3*o + p*o + 4*c. What is the highest common factor of o and 31? 31 Let t(o) = -o**3 - 1. Let f be t(1). Let r be f*4/40*-15. What is the greatest common factor of r and 24? 3 Let i = 7350 - 7322. Suppose 3 = -t + 1, 3*r - 2*t - 592 = 0. What is the greatest common factor of r and i? 28 Suppose -6*q = -22*q + 48. What is the highest common factor of 2 and q? 1 Let t = -33 - -34. Let l be (t - 136/(-6))*15 + -3. Suppose -2*s + 4*s = 64. Calculate the greatest common factor of s and l. 32 Suppose -15810 = 69*x - 84*x. Calculate the highest common factor of 34 and x. 34 Let t(p) = 3*p**2 - p - 29. Let w be t(13). Calculate the highest common factor of w and 30. 15 Let i = -11 - -76. Let q = -51 + i. Calculate the highest common divisor of q and 14. 14 Let c be 17 + (-10)/((-100)/(-90)). What is the greatest common divisor of 152 and c? 8 Let k = -860 - -1003. Calculate the greatest common divisor of 11 and k. 11 Let g be ((-627)/5)/((-276)/920). Suppose 4*a = 72 + 80. What is the greatest common divisor of g and a? 38 Let w = 1342 + -427. What is the greatest common factor of w and 15? 15 Let r = -10 - -34. Suppose 5*v + 5*s = 715, v = 4*s + s + 173. Suppose -428 = -8*a + v. What is the highest common divisor of a and r? 24 Let d be (-10)/(2 - 7) + (-369)/(-3). Calculate the highest common divisor of d and 75. 25 Suppose -314 - 126 = -4*d. What is the greatest common factor of d and 50? 10 Let s be -5*((-10)/(-2) - 16). Calculate the highest common divisor of s and 33. 11 Suppose 3 = 5*d - 2*j, -j - 14 + 5 = 5*d. Let u be ((-25)/10)/(d/12). Calculate the greatest common factor of 20 and u. 10 Let b(q) = q**2 - 5. Suppose -2*y + 5 = -y. Let c be b(y). Let j = -8 + c. What is the highest common divisor of j and 12? 12 Suppose 3*w - 242 + 58 = 2*x, 116 = 2*w + 2*x. What is the greatest common factor of w and 540? 60 Suppose 16*c + 342 = 25*c. Calculate the highest common factor of c and 209. 19 Suppose -3*n - 8 = -a, 6 = a + 2*n + 3. Suppose 0 = 7*y - a*y - 16. Calculate the greatest common divisor of 12 and y. 4 Let b(x) = -1 - 3 + x - 5. Let d be b(9). Suppose -3*a + 63 = -d*a. Calculate the greatest common factor of a and 14. 7 Let y(u) = u + 7. Let q be y(0). Let j be 2*9/3 + -3. Suppose -j*v + 3 = -0. What is the greatest common divisor of v and q? 1 Let t = 153 - 99. Calculate the highest common divisor of 45 and t. 9 Let c = -199 + 211. Suppose -3*l + 390 = 4*k + 86, 4*l = -3*k + 417. What is the highest common divisor of c and l? 12 Suppose 13*z + 2345 = 18*z. Let q = z + -154. What is the greatest common divisor of 35 and q? 35 Let a(y) = y. Let l(p) = -p. Let n(s) = -3*a(s) - 2*l(s). Let r be n(11). Let w = 22 - r. What is the highest common factor of w and 66? 33 Let i(k) = -147*k + 36. Let q be i(-2). Calculate the highest common factor of q and 30. 30 Suppose -8*n = -10*n + 2*x + 240, 3*x = -15. Calculate the highest common factor of 989 and n. 23 Let r be (70/4)/(155/124). Calculate the highest common divisor of 112 and r. 14 Let j(c) = -c**3 + 11*c**2 + 13*c - 3. Let r be j(12). Suppose 3*b = 2*x + r + 38, 16 = b - x. Calculate the greatest common factor of b and 165. 15 Let n(r) = r**3 - 5*r**2 + r + 1. Suppose 5*z + 5 = 3*g, 2*g + 2 - 14 = -z. Let q be n(g). Calculate the greatest common divisor of 6 and q. 6 Suppose 0 = -4*s - 30 + 254. Suppose -2*b + 83 = 27. What is the greatest common divisor of b and s? 28 Let v = -35 - -28. Let h(d) = d**3 + 9*d**2 + 4*d + 2. Let n be h(v). Calculate the highest common divisor of n and 24. 24 Suppose 0 = -5*y + 8 + 62. Suppose 0*x + 2*x = -8*x + 70. Calculate the highest common factor of x and y. 7 Suppose -4*q - 3*a = -q - 69, -3*q = -4*a - 34. Let z = q - 18. Suppose z = 2*i + 2 - 12, -m - 18 = -4*i. What is the highest common factor of 5 and m? 1 Let n be (3 + -6 - -4)*5. Let y = 7 - n. Let w be ((-18)/5)/(y/(-5)). Calculate the highest common factor of w and 72. 9 Let l be (-596)/6 + 2/(-3). Suppose -x = -3*y + 70 - 231, -2*y = 3*x - 461. Let t = l + x. Calculate the highest common factor of t and 5. 5 Let t = 140 + -95. Let r = 647 - 629. Calculate the greatest common factor of r and t. 9 Suppose 3*q - 74 = 37. Suppose c - 11 = 3*f + 134, -591 = -4*c + f. What is the greatest common factor of c and q? 37 Let i(n) = n + 10. Let w be i(-4). Calculate the greatest common divisor of 192 and w. 6 Let x = 134 - 128. Let l = -4 + -6. Let b(z) = -5*z - 2. Let k be b(l). Calculate the greatest common factor of x and k. 6 Let h be 4/10 - 206960/(-100). Calculate the highest common factor of h and 20. 10 Suppose 3*b - v - 493 = -93, 535 = 4*b - 3*v. Calculate the greatest common divisor of b and 21. 7 Let i(o) = o**2 - 2*o + 17. Let b be (-4 - (-132)/16) + 3/(-12). Let y be i(b). Calculate the highest common factor of 125 and y. 25 Let t = -430 + 480. Calculate the highest common divisor of 350 and t. 50 Let d = 110 + -109. Let t(g) = 16*g + 9. Let i be t(d). What is the greatest common factor of 25 and i? 25 Let m(i) = 2*i - 6. Suppose 4*z = -3*z + 28. Let t be m(z). Calculate the highest common factor of t and 5. 1 Let k(z) = -z**2 + 8*z + 1. Let y be k(7). Let b(f) = 13*f - 20. Let g be b(y). Calculate the greatest common factor of g and 56. 28 Suppose -101*h - 152 = -1263. Let g(n) = 26*n. Let l be g(1). Let x = -15 + l. What is the greatest common factor of x and h? 11 Let y(q) = 6*q**2 + q - 1. Let m be y(6). Suppose 4*p = 5*p - m. Let i = -151 + p. Calculate the greatest common divisor of i and 28. 14 Let s be (4 + ((-328)/(-5))/(-4))*-5. Calculate the highest common factor of 217 and s. 31 Let m(r) = -2*r + 4. Suppose -4*h + 14*h = -70. Let d be m(h). What is the highest common divisor of d and 18? 18 Let b be 1*(-2)/(-8)*-4. Let c(g) = -g**2 + 6*g - 4. Let d be c(6). Let w be 4 + 65 + (d - b). What is the greatest common factor of 22 and w? 22 Let s = -535 - -567. Calculate the highest common factor of s and 32. 32 Let u(g) = -2*g**3 - 19*g**2 - 8*g + 74. Let x be u(-12). What is the highest common factor of 20 and x? 10 Let k = -950 + 1346. What is the highest common divisor of k and 36? 36 Let r = 20 - 1. Let m = -15 + r. Suppose -4*v - 3*k - 363 = -7*v, m*k = -4*v + 484. What is the highest common factor of 11 and v? 11 Let v(r) = -r**2 + 10*r + 16. Suppose 5 = 4*b + c - 40, -5*b + 60 = 5*c. Let a be v(b). Calculate the highest common factor of a and 15. 5 Suppose 4*i = -4*o + 48, o = -2*o + 6. Suppose 37 = 4*u - 43. Calculate the greatest common factor of u and i. 10 Let y be (18 - 242)*6/(-4). Calculate the greatest common factor of 48 and y. 48 Suppose 0 = 6*j - 16 - 62. What is the greatest common factor of 26 and j? 13 Let d(g) = -g + 3. Let l be d(-5). What is the highest common divisor of 248 and l? 8 Suppose -3*u = f - 38, f - 4*u = -5*u + 28. Calculate the greatest common factor of f and 7. 1 Suppose 4*g - 66 = 5*p, g - 24 = -0*g + 5*p. Let j = -1124 + 1180. Calculate the highest common divisor of g and j. 14 Let w be (-19)/(190/(-60)) - 74/(-1). Calculate the highest common factor of 170 and w. 10 Let g be ((-18)/(-4))/((-8)/64). Let i = g + 35. Let a be ((-5)/(-10))/(i/(-8)). Calculate the highest common factor of 28 and a. 4 Let y(o) = -o - 4. Let k be y(0). Let b(s) = -5*s - 5*s**2 + 0 + s**3 - s**3 - s**3 + 4. Let f be b(k). What is the highest common factor of f and 8? 8 Let a = -21 - -61. Let z = -100 - -100
{ "pile_set_name": "DM Mathematics" }
e 3*a(l) - 5*b(l). -10*l**2 - 2*l - 3 Let o(c) = 12*c + 1. Let x(l) = 18*l + 1. Determine 7*o(z) - 5*x(z). -6*z + 2 Suppose 57*r + 4 + 53 = 0. Let o(y) = -y - 1. Let x(w) = -5*w**3 + w - 2. Calculate r*x(g) + 2*o(g). 5*g**3 - 3*g Let g(j) = 7 - 4*j - j - 3. Let i = 86 + -90. Let k(z) = -z + 1. Let h(d) = i*k(d) + g(d). Let a(q) = q**2 - q. Calculate a(s) - h(s). s**2 Let l(h) = -2*h**3 - 3*h. Let v(k) = -k + 14. Let q be v(13). Let p = q + 7. Let z = 2 + p. Let d(u) = 6*u**3 + 10*u. Determine z*l(g) + 3*d(g). -2*g**3 Let z(c) = -2*c**3 - 8*c**2 - 2*c + 11. Let j(w) = w**3 + 3*w**2 + w - 4. Let v = -1588 + 1591. What is v*z(u) + 8*j(u)? 2*u**3 + 2*u + 1 Let i(p) = -3*p**2 + 4*p - 4. Let m(g) = 2*g**2 + g + 11. Let f(s) = 2*s**2 + 9. Let j(z) = -4*f(z) + 3*m(z). Calculate 3*i(c) - 4*j(c). -c**2 Let w(t) = -2*t**2 + 3*t + 1. Let f(a) = -6*a**2 - 1 - 23*a**2 + 30*a**2 + 5*a - 7*a. Give -4*f(v) - 3*w(v). 2*v**2 - v + 1 Suppose -3*t = -5*t - 8. Let z = t - -10. Let p(s) = -2*s**2 - 3*s - 3. Let a(l) be the first derivative of l**3/3 + l**2/2 + l - 2. Calculate z*a(n) + 2*p(n). 2*n**2 Let m(k) = 34*k + 2. Let g(a) = 11*a + 1. Give -14*g(j) + 5*m(j). 16*j - 4 Let z(d) = 3*d**3 - 7*d**2 - 2*d. Let l(v) = -8*v**3 + 20*v**2 + 5*v. Suppose 6*i + 106 = 40. Calculate i*z(n) - 4*l(n). -n**3 - 3*n**2 + 2*n Let j(d) = 2*d**2 + 3*d. Let y(z) be the second derivative of z**4/12 + z**3/3 + z. Suppose -x + 3*x = t + 5, -4*x + 4 = 0. What is t*y(a) + 2*j(a)? a**2 Let p(o) = 5*o - 2. Let h(b) = 9*b - 4. Let t(g) = -6*h(g) + 11*p(g). Suppose -v = -5*v - 8. Let a(c) = 18*c + 27*c + 27*c + 8 - 68*c. What is v*a(l) + 9*t(l)? l + 2 Let w(h) = -3*h**3 + 3*h - 5. Let k(a) = -7*a**3 + 6*a - 9. Give 4*k(c) - 7*w(c). -7*c**3 + 3*c - 1 Let q(m) = m**2 + m. Let d(u) = -6*u**2 - 2*u + 2. Let w = 143 - 139. Determine w*q(x) + d(x). -2*x**2 + 2*x + 2 Let q(v) = 3*v**2 - 2*v - 1. Let p(k) = -7*k**2 + 5*k + 2. Suppose -8*s - s - 18 = 0. What is s*p(x) - 5*q(x)? -x**2 + 1 Let z = 500 - 504. Let q(j) = 7*j - 5. Let f(o) = -14*o + 9. What is z*f(a) - 7*q(a)? 7*a - 1 Let v(s) = s**2 - s + 1. Let g(z) be the third derivative of -2*z**5/15 + z**4/4 - z**3 - 2*z**2 + 2*z. Calculate 4*g(w) + 24*v(w). -8*w**2 Suppose 27*y + 46 = -251. Let p(o) = 21*o. Let q(v) = -4*v. What is y*q(d) - 2*p(d)? 2*d Let g(b) = 0*b + b - 5*b - 8 + 3*b. Let m be g(9). Let l(o) = -2*o**2 - o + 7. Let v(y) = 17 - 3*y - 6*y**2 + 3 + 0*y + 0*y. Calculate m*l(a) + 6*v(a). -2*a**2 - a + 1 Let v = 4 - -1. Let b(p) = 3. Let x(h) = -2. Let g(y) = 2*b(y) + 4*x(y). Let k(q) = q - 5*q**2 + 2*q**2 - 5 + 2*q**2. Give v*g(r) - 2*k(r). 2*r**2 - 2*r Let u(i) = -i**2 + i + 9. Let o(g) = -2. Calculate 4*o(r) + u(r). -r**2 + r + 1 Let x be (1/(1/1))/1. Let o(v) = -v - 1. Let g(q) be the third derivative of -q**4/24 - q**3/2 + 9*q**2 + 14. Give x*g(z) - 2*o(z). z - 1 Let y(u) = -3*u**3 + 86*u**2 - 2*u - 4. Let k(s) = 4*s**3 - 84*s**2 + 3*s + 5. What is -2*k(a) - 3*y(a)? a**3 - 90*a**2 + 2 Let j(k) = 13*k**3 - 4*k**2 - 4*k - 8. Let b(d) = d**2 + d + 4. What is -4*b(s) - j(s)? -13*s**3 - 8 Let a(f) = 3*f**2 + 9*f + 11. Suppose 12 = 5*k + z, -5*z = -14 + 4. Let i(y) = 2*y**2 + k*y**2 + 4 - 2*y**2 + 5*y + 2. Calculate 3*a(g) - 5*i(g). -g**2 + 2*g + 3 Let k(x) = 7*x. Let t(h) be the first derivative of -21*h**2/2 + 185. Give -7*k(s) - 2*t(s). -7*s Let b(c) = 17*c - 19*c + 5 - 13 - 1. Let r(g) = -g - 4. Suppose 7 = -5*o - 3. Give o*b(k) + 5*r(k). -k - 2 Let o(n) = 14*n**3 + 14*n**2 + 9*n + 195. Let c(g) = 5*g**3 + 5*g**2 + 3*g + 64. What is 11*c(r) - 4*o(r)? -r**3 - r**2 - 3*r - 76 Let t(p) = -116*p + 3. Let j(a) = -6*a. Give -2*j(b) + t(b). -104*b + 3 Let w(j) = -j**2 - 35 + 16 + j + 20 + 0*j. Let s(y) = -8*y**2 + 12*y + 12. Give s(d) - 12*w(d). 4*d**2 Let v(i) = i. Let r = 1063 - 1023. Let l(b) = -10*b. What is r*v(h) + 5*l(h)? -10*h Let z(i) = -30*i**2 + 20. Let v(n) = 7*n**2 - 5. Let a(p) = 25*v(p) + 6*z(p). Let d(w) = 14*w**2 + 14. Give -17*a(x) - 6*d(x). x**2 + 1 Let b(h) = 49*h**3 - 3*h**2 + 3*h - 3. Let m(k) = -48*k**3 + 4*k**2 - 4*k + 3. What is 4*b(l) + 3*m(l)? 52*l**3 - 3 Let r(v) = -v - 2. Let y(a) = 3*a + 7. Suppose 272 = -30*m - 238. Give m*r(x) - 6*y(x). -x - 8 Suppose -33 = -13*r + 19. Suppose -10 = 14*z + r. Let k(x) = -4*x**2 - 5*x + 1. Let y(g) = g**2 + g. What is z*k(c) - 5*y(c)? -c**2 - 1 Suppose 5*k - 16 = 3*g, -g + 10 = 4*k - 13. Let h(q) = -3*q + 2*q + 3*q - 1. Let x(r) = 4*r - 2. Calculate g*x(i) - 5*h(i). 2*i - 1 Let q(w) = -71*w - 2144. Let s(p) = 25*p + 715. What is -6*q(g) - 17*s(g)? g + 709 Let b(l) = 4*l - 7. Let u(y) = y. Let j be 1/2*(19 + -17). Give j*b(z) - 3*u(z). z - 7 Let z(l) = 14*l**3 - 3*l**2 + 6*l. Let i(h) = -12*h**3 + h**3 + 5*h**3 + h**2 - 2*h + h**3. Give -8*i(r) - 3*z(r). -2*r**3 + r**2 - 2*r Let n(q) = 4*q**2 - 7*q + 99. Let b(k) = -k**2 + 2*k - 33. Determine -7*b(x) - 2*n(x). -x**2 + 33 Let x(b) = -b**2 + 3*b - 5. Let i be x(2). Let d(u) = -u - 1. Let z(y) = 5*y + 2. What is i*d(h) - z(h)? -2*h + 1 Let c(s) = 4*s**3 - 3*s**2 - 9*s + 134. Let i(r) = 9*r**3 - 7*r**2 - 21*r + 269. Give 7*c(o) - 3*i(o). o**3 + 131 Let b(j) = -6*j**2 - 5*j - 3. Suppose 2*n + 6 = 6*o - 8*o, o + 1 = -3*n. Let x(i) = -i**2 - i - 1. Give o*x(k) + b(k). -2*k**2 - k + 1 Let q(t) = -2*t - 7. Let d be (-4)/18 - 238/63. Suppose -2*l = -l - y + 2, -3*l - 8 = -5*y. Let f(m) = 1. Give d*f(b) + l*q(b). 2*b + 3 Let b(d) = -141*d - 8. Let h(m) = 211*m + 11. Determine 7*b(n) + 5*h(n). 68*n - 1 Let r(y) = 23*y**3 + 2*y**2 - 19. Let a(i) = 19*i**3 + 2*i**2 - 20. Calculate -6*a(h) + 5*r(h). h**3 - 2*h**2 + 25 Let b(p) = -38*p + 5. Let q(a) = -12*a + 173. Let y be q(15). Let l(d) = 57*d - 7. Give y*b(o) - 5*l(o). -19*o Let n(d) = d**3 - 2. Let x(f) = 9*f**3 - 6*f**2 - 2*f - 6. Calculate 3*n(p) - x(p). -6*p**3 + 6*p**2 + 2*p Let g(y) = y**3 + 1. Let x(n) = 6*n**3 + n**2 + 2*n + 37. Give 5*g(a) - x(a). -a**3 - a**2 - 2*a - 32 Suppose 4*g + 55 = -4*r - r, 5*g + 25 = 0. Let f(w) = 6*w**2 + w - 2. Let u = -144 - -146. Let x(j) = 19*j**2 + 3*j - 7. Calculate r*f(m) + u*x(m). -4*m**2 - m Let y(w) = -5 + 6*w + 9*w**2 - 1 - 2. Let f(n) be the second derivative of -3/2*n**2 + 0 + 1/4*n**4 + 1/3*n**3 - 74*n. Calculate -8*f(o) + 3*y(o). 3*o**2 + 2*o Let f(i) be the third derivative of 2*i**4/3 + 5*i**3/3 + i**2. Let t(z) = -5*z - 3. Suppose 0 = -192*b - 853 - 1589 - 1398. What is b*t(v) - 6*f(v)? 4*v Let h(t) = t**2 + 1 - 2*t**2 - 8 + 6. Let q(r) = -4*r - 91 + 92 + 3*r. Determine h(i) + q(i). -i**2 - i Let p(l) = 130*l + 12. Let t(f) = 195*f + 19. Determine -8*p(w) + 5*t(w). -65*w - 1 Let f(x) = x**2 - 2. Let a be (3/(-9)*3)/(1/4). Let y(o) be the third derivative of -o**5/12 + 3*o**3/2 + 2*o**2 - 9*o. What is a*y(l) - 18*f(l)? 2*l**2 Let v(q) = -352655*q**2 - 2529*q - 5058. Let y(g) = 279*g**2 + 2*g + 4. Determine 2*v(b) + 2529*y(b). 281*b**2 Let s(j) = -288*j**3 + 24*j**2 + 8*j - 8. Let t(b) = -3*b**2 - b + 1. Calculate -s(h) - 8*t(h). 288*h**3 Let l(t) = -5*t**2 + 49. Let p(u) = 4*u**2 - 49. Calculate -6*l(w) - 7*p(w). 2*w**2 + 49 Let m(c) = c**2 - 1. Let j(t) = -7*t**2 + 5*t + 6. Suppose 0 = -562*g + 566*g + 4. What is g*j(h) - 6*m(h)? h**2 - 5*h Let h(i) = -1233*i**2 - 8*i + 4. Let l(g) = 36992*g**2 + 238*g - 119. What is 119*h(k) + 4*l(k)? 1241*k**2 Let g(h) = 24*h - 5. Let u(i) = -46*i + 9. What is 7*g(n) + 4*u(n)? -16*n + 1 Let v(n) = -n - 9. Let k be v(-6). Let m = k + 0. Let c(t) = 3*t. Let r(x) = -6*x. Suppose -26 = 4*i - 4*o + 6, i + 3*o = 4. Calculate i*c(a) + m*r(a). 3*a Let f(u) = -u - 4. Let r = -3 + 5. Let q be 15/r - 6/(-4). Let j(t) = q + 7 + 0 - 17. What is -f(d) + 2*j(d)? d + 2 Let z(k) = 22*k - 2. Let o(m) = 134 + 126 - 389 + 9*m + 128. What is 12*o(i) - 5*z(i)? -2*i - 2 Let s(k) = -2*k**2 - 5*k - 5. Let l(y) = -3*y**2 - 10*y - 8. Give -3*l(i) + 5*s(i). -i**2 + 5*i - 1 Let y(g) = -7*g**2 + 5*g. Suppose 0*m = -5*m + 15. Let h(p) = -m*p**2 + 5 - 5 + 2*p. Let f(z) = 31*z + 64. Let c be f(-2). Give c*y(s) - 5*h(s). s**2 Let c(v) = -9*v + 1. Suppose 2*d = 2*h + 2, -4*h - 2*d = 5 + 17. Let r(i) = -10*i + 1. Let p = 15 - 10. Calculate h*r(k) + p*c(k). -5*k + 1 Let j(o) = -o**3 + o**2. Let q(b) = 234*b**3 - 8*b**2. Give 8*j(w) + q(w). 226*w**3 Let k(q) = q - 1. Let u(w) = -104*w + 10. Calculate -8*k(x) - u(x). 96*x - 2 Let q(
{ "pile_set_name": "DM Mathematics" }
rob of sequence lerr. 5/756 What is prob of sequence qsq when three letters picked without replacement from {q: 3, s: 15}? 5/272 Calculate prob of sequence zif when three letters picked without replacement from {f: 5, i: 6, r: 3, z: 1, m: 2}. 1/136 What is prob of sequence mmv when three letters picked without replacement from ymvvwwwimyvymmyi? 3/280 What is prob of sequence yy when two letters picked without replacement from yttytttyw? 1/12 Two letters picked without replacement from {c: 3, j: 4}. Give prob of sequence jc. 2/7 What is prob of sequence mggs when four letters picked without replacement from {s: 1, o: 1, m: 2, g: 4}? 1/70 Calculate prob of sequence mtao when four letters picked without replacement from oontonnmnoorarnnoto. 7/46512 Four letters picked without replacement from {u: 3, s: 1, c: 5, d: 4}. What is prob of sequence uscd? 1/286 Calculate prob of sequence kcaa when four letters picked without replacement from ccaacccckcccaa. 9/2002 Four letters picked without replacement from {n: 3, d: 5, s: 3, p: 1, q: 6}. Give prob of sequence sssn. 1/4080 What is prob of sequence iib when three letters picked without replacement from blybbibi? 1/42 What is prob of sequence vv when two letters picked without replacement from ovovvo? 1/5 Two letters picked without replacement from {q: 8, s: 3}. Give prob of sequence qs. 12/55 Two letters picked without replacement from xkrxkdkxdxkxxkukkrr. Give prob of sequence rd. 1/57 What is prob of sequence to when two letters picked without replacement from {t: 2, v: 2, z: 1, o: 1, x: 1, i: 2}? 1/36 Three letters picked without replacement from {e: 2, f: 4, i: 3, p: 9}. What is prob of sequence fep? 1/68 Two letters picked without replacement from {m: 1, u: 6, r: 2, b: 1, q: 3, z: 2}. Give prob of sequence zz. 1/105 Four letters picked without replacement from tutttbbtttiiiut. What is prob of sequence ibut? 4/1365 Three letters picked without replacement from {v: 2, x: 9, a: 7}. Give prob of sequence vav. 7/2448 Calculate prob of sequence cp when two letters picked without replacement from {x: 5, s: 4, p: 4, c: 3}. 1/20 Calculate prob of sequence gs when two letters picked without replacement from gggsgsg. 5/21 What is prob of sequence irv when three letters picked without replacement from {n: 3, v: 2, r: 2, i: 8}? 16/1365 What is prob of sequence ry when two letters picked without replacement from ynizryyiy? 1/18 What is prob of sequence aaa when three letters picked without replacement from aaazzaza? 5/28 Three letters picked without replacement from {v: 2, y: 10, b: 3, z: 1, t: 1}. Give prob of sequence yvz. 1/204 Three letters picked without replacement from {f: 1, z: 3, j: 7, u: 1, i: 1}. What is prob of sequence ifu? 1/1716 Calculate prob of sequence ee when two letters picked without replacement from jddheeehvde. 6/55 Calculate prob of sequence imnm when four letters picked without replacement from smimn. 1/60 Calculate prob of sequence im when two letters picked without replacement from {j: 1, p: 1, m: 2, n: 1, i: 1, h: 1}. 1/21 Two letters picked without replacement from {u: 1, n: 1, p: 2, d: 3}. Give prob of sequence pp. 1/21 What is prob of sequence hl when two letters picked without replacement from {l: 4, w: 4, h: 1, p: 3, a: 1, n: 1}? 2/91 Three letters picked without replacement from lbbfltbbatlfa. What is prob of sequence llb? 2/143 Three letters picked without replacement from fyhjghs. Give prob of sequence yfs. 1/210 Two letters picked without replacement from twbllivtliilliv. Give prob of sequence tw. 1/105 Three letters picked without replacement from {f: 12, b: 6}. What is prob of sequence ffb? 11/68 Calculate prob of sequence np when two letters picked without replacement from zzpnnrpnppzzppznnn. 2/17 Calculate prob of sequence eaev when four letters picked without replacement from {v: 3, a: 1, i: 3, d: 1, e: 2}. 1/840 Three letters picked without replacement from lzzbj. Give prob of sequence ljb. 1/60 Four letters picked without replacement from {v: 2, j: 1, x: 1, b: 3, m: 3, u: 1}. What is prob of sequence bbjb? 1/1320 What is prob of sequence fp when two letters picked without replacement from {p: 2, f: 9}? 9/55 Two letters picked without replacement from jjj. Give prob of sequence jj. 1 Three letters picked without replacement from {g: 3, b: 3, y: 8, u: 3, m: 1}. What is prob of sequence yyu? 7/204 Two letters picked without replacement from {i: 7, g: 1}. What is prob of sequence ii? 3/4 Calculate prob of sequence tp when two letters picked without replacement from pttjpjpt. 9/56 Calculate prob of sequence syx when three letters picked without replacement from syxncxl. 1/105 Four letters picked without replacement from bbee. What is prob of sequence beeb? 1/6 Calculate prob of sequence pwxx when four letters picked without replacement from {p: 2, w: 1, b: 1, x: 2}. 1/90 What is prob of sequence zlzb when four letters picked without replacement from bzclczd? 1/420 What is prob of sequence xvt when three letters picked without replacement from tvllx? 1/60 Four letters picked without replacement from {k: 2, t: 5, e: 5, y: 5}. What is prob of sequence ekyy? 5/1428 Four letters picked without replacement from {o: 2, c: 5, q: 1, x: 1}. Give prob of sequence qcoo. 5/1512 Two letters picked without replacement from bsvisnssssssnjs. What is prob of sequence bs? 3/70 Four letters picked without replacement from tlsssnn. Give prob of sequence tlsn. 1/140 Two letters picked without replacement from {g: 1, v: 2, w: 1, i: 3, s: 7}. What is prob of sequence wg? 1/182 Two letters picked without replacement from hfhufhfyghdfdhgdugh. Give prob of sequence du. 1/57 Calculate prob of sequence uur when three letters picked without replacement from {p: 9, r: 1, u: 10}. 1/76 Two letters picked without replacement from {a: 1, s: 5, q: 3, f: 3, g: 1}. Give prob of sequence sf. 5/52 Calculate prob of sequence wss when three letters picked without replacement from {w: 7, s: 3}. 7/120 Four letters picked without replacement from ivhiiiiivriiii. What is prob of sequence vvhr? 1/12012 Two letters picked without replacement from {e: 2, b: 8, z: 3, r: 7}. Give prob of sequence rz. 21/380 Two letters picked without replacement from iigiiigiiig. What is prob of sequence ii? 28/55 Three letters picked without replacement from fmffsiksff. What is prob of sequence iss? 1/360 Four letters picked without replacement from nunlnuunxdluudu. Give prob of sequence uxuu. 1/273 Two letters picked without replacement from {v: 9, n: 5}. Give prob of sequence nv. 45/182 Four letters picked without replacement from {o: 3, v: 1, r: 1, l: 5}. Give prob of sequence rlll. 1/84 Three letters picked without replacement from {n: 2, z: 2, g: 1, o: 6, m: 4}. Give prob of sequence goo. 1/91 Calculate prob of sequence cu when two letters picked without replacement from hhhchhyhimu. 1/110 Four letters picked without replacement from {g: 2, t: 17}. Give prob of sequence tgtt. 5/57 Four letters picked without replacement from {f: 5, g: 2, e: 6, q: 3, s: 1, j: 3}. What is prob of sequence esfe? 5/3876 What is prob of sequence up when two letters picked without replacement from {b: 1, a: 1, w: 1, p: 2, u: 1, q: 1}? 1/21 Four letters picked without replacement from {y: 8, z: 10, w: 1}. What is prob of sequence yzzy? 35/646 Three letters picked without replacement from {q: 1, n: 3, x: 3, o: 6}. Give prob of sequence xnn. 3/286 What is prob of sequence zy when two letters picked without replacement from {k: 3, z: 1, y: 4, f: 2, a: 1, o: 1}? 1/33 What is prob of sequence xxg when three letters picked without replacement from {j: 2, g: 11, x: 7}? 77/1140 Calculate prob of sequence lovl when four letters picked without replacement from {l: 2, o: 1, v: 1}. 1/12 Two letters picked without replacement from {o: 3, l: 4, q: 1}. What is prob of sequence oo? 3/28 Calculate prob of sequence ywwy when four letters picked without replacement from {w: 2, y: 6, c: 11}. 5/7752 Calculate prob of sequence zmz when three letters picked without replacement from omzyzyxxxxxxxxovxz. 1/816 Four letters picked without replacement from {q: 2, i: 1, b: 1, n: 1}. What is prob of sequence iqiq? 0 Calculate prob of sequence vjf when three letters picked without re
{ "pile_set_name": "DM Mathematics" }
505657 What is -1160 take away -722218691? 722217531 Work out 0.19 - -65766075051. 65766075051.19 What is the distance between 0.337 and -152457003? 152457003.337 What is -790591 plus 1.35272? -790589.64728 What is -4.5404864 less than 26393? 26397.5404864 Work out -0.256054 - -0.1549498. -0.1011042 0.5 - -385436021814829 385436021814829.5 38325644562665 - -2 38325644562667 Calculate -0.5 + -1278066204.466. -1278066204.966 What is 0.1393 take away -376307425? 376307425.1393 Total of -70080725196 and 2. -70080725194 Work out -1529.47282519766 - 3. -1532.47282519766 Work out 0.01055597 + -7427. -7426.98944403 What is -3 minus -4.511412764? 1.511412764 What is the difference between 855697394 and -20.871? 855697414.871 What is 35 - 183838184039? -183838184004 Work out 299 + -5945771.3631. -5945472.3631 What is 437129402.89 less than -0.3? -437129403.19 What is -0.02 minus -3095618609.227? 3095618609.207 Work out 316 + -59841247. -59840931 What is -2292644708985 take away -0.48? -2292644708984.52 What is -276 plus -14381457922? -14381458198 Add together -66696063 and 0.57096. -66696062.42904 What is -450078.7 minus 142659801? -143109879.7 Calculate -7806365 - 201986.6. -8008351.6 Put together 255703.662 and 11.016. 255714.678 Subtract 0.046 from 47773796960.1. 47773796960.054 What is the distance between -5.475 and 24.16660465? 29.64160465 What is the distance between -14904084235 and 0.57? 14904084235.57 What is -2.28 less than -2498770.14? -2498767.86 What is the distance between 382.47007407 and -4? 386.47007407 Calculate -1244564 + -185990911. -187235475 556073+-1.274107 556071.725893 What is -15.42556417 plus 1.23? -14.19556417 What is 400 - -259176716? 259177116 Work out -73464377.500274 + -3. -73464380.500274 Add together -86 and -1479093243257. -1479093243343 Calculate 0.794 + 372.249867. 373.043867 -255+-99686795041 -99686795296 What is the difference between -15251159570 and 14.42? 15251159584.42 Calculate 11 + -326058132178. -326058132167 What is 188245194 - -452.4? 188245646.4 What is 19.03 less than 123881154? 123881134.97 -17456 - 2052278.9664 -2069734.9664 Calculate -11900.8467388765 - 1. -11901.8467388765 Calculate 23.15118 + 8.07305. 31.22423 Sum 1.156975408 and 0.0722. 1.229175408 What is -141375926454 take away -550? -141375925904 Subtract -0.217 from 256286221300. 256286221300.217 Subtract 660276232 from -3150. -660279382 What is -2465 take away -0.5835331? -2464.4164669 What is -3.605 take away -43.744775606? 40.139775606 Total of 461963724 and -404. 461963320 Subtract -596.3868284 from -1764. -1167.6131716 What is 0.29688664 plus 2.897899? 3.19478564 Work out 1.4634 + -8087040795. -8087040793.5366 What is 0.5 + 243687376610? 243687376610.5 Put together 4.599404098 and -0.205. 4.394404098 What is -1.2 less than -2548603906? -2548603904.8 Total of 102922 and 26.311364. 102948.311364 What is -0.2 + -1207.7859652811? -1207.9859652811 What is the difference between 76209582753 and -0.06? 76209582753.06 What is 120.849012781 plus 0.37? 121.219012781 Sum -6 and 1230169946808. 1230169946802 What is 592.1 + -34274609? -34274016.9 Work out -967476938532 + 1. -967476938531 What is 956 take away -116106.043398? 117062.043398 Sum -0.4 and 508065875523. 508065875522.6 Add -354102864180 and 0.4. -354102864179.6 Subtract 1067 from 190527129381. 190527128314 Put together 2721413 and 427155. 3148568 What is the difference between 1.12 and 11732735652.81? 11732735651.69 Put together -2 and -0.10471316911. -2.10471316911 Sum -4879629 and 11283101. 6403472 Subtract -16346 from -92506333. -92489987 What is 213048 - -854040662? 854253710 What is the distance between 0.2 and 2016865399991? 2016865399990.8 Add 65 and -115209266261. -115209266196 Total of -1508.58 and -1466363. -1467871.58 What is -140715 less than -16217.6953? 124497.3047 What is -4759 plus 16459307770? 16459303011 -387977865.345 + 4.16 -387977861.185 Work out -12 - -0.7416580347. -11.2583419653 Total of -72.406382 and -78298.6. -78371.006382 -2569392984068+-4 -2569392984072 3191+74964034.117 74967225.117 Work out -929111579489 + -1.15. -929111579490.15 21094898443 - -5 21094898448 Calculate 2788270 + 2344.69. 2790614.69 What is 910710733.8 - -0.8? 910710734.6 What is 20636634409224 + 0.1? 20636634409224.1 Work out -62114742278 - -1.9. -62114742276.1 What is 72642345580356 + 7? 72642345580363 Add together -3 and 0.01208332512405. -2.98791667487595 What is 1.01 minus 56.748306811? -55.738306811 What is -0.1 + 18919801408683? 18919801408682.9 Work out 25.7836 - 0.0137307142. 25.7698692858 Add together 1.95955 and 59037.857. 59039.81655 What is -641026 plus 32.4191381? -640993.5808619 Work out 3035588227 + -44. 3035588183 What is the difference between -201095760998041 and 0.3? 201095760998041.3 What is -63413.1 - 4217.94? -67631.04 What is -0.0952997496 minus -34? 33.9047002504 Work out -9885.0303071 + -0.14. -9885.1703071 Subtract -122364490 from -1150549. 121213941 What is 6.9473165829 plus -14.2? -7.2526834171 What is the distance between 0.4 and 781779437810? 781779437809.6 4151274.4 - 6832.78 4144441.62 What is -2.2307583 plus 46713? 46710.7692417 Subtract -160328 from -74805069. -74644741 What is the difference between -9900243277460 and -2? 9900243277458 What is 2 less than 351584.826646? 351582.826646 Sum 7068761 and 361763. 7430524 What is -15650.74046 + -1835? -17485.74046 Sum -21.8113 and 59026.2. 59004.3887 What is 8.826 less than -496.53502? -505.36102 Calculate -10352169319 - -3.6. -10352169315.4 112842.22384 - -0.22 112842.44384 -4692.22565 - -320631 315938.77435 Put together -4 and 50203264874. 50203264870 What is 137 less than -995043683? -995043820 Total of 0.5 and -27280.58126167. -27280.08126167 Subtract 13717587 from 381742. -13335845 227379249 - -592189 227971438 Calculate 1472 + -249738976. -249737504 What is the difference between 0.46 and -20693283716513? 20693283716513.46 Work out -20289 - 2427.685827. -22716.685827 What is 16031612948 - -87? 16031613035 Put together 76982 and 0.19825786. 76982.19825786 2791768 - -14628473 17420241 Total of -2687238559.4545 and -63. -2687238622.4545 What is 0.910854 minus 3771.64? -3770.729146 Subtract 192 from -52204005266.22. -52204005458.22 What is 2.018395 less than 4.790477? 2.772082 Calculate -34336510924.99 - 2. -34336510926.99 What is 1597115.5 minus 18412362? -16815246.5 0.1+-346489769073 -346489769072.9 Work out -3 - -89467439.290933. 89467436.290933 What is the distance between -12171.8 and 980910? 993081.8 What is -0.5 minus -117898987633? 117898987632.5 Add together 4 and 7566566181833. 7566566181837 What is the difference between 674.7 and 27148190? 27147515.3 What is the distance between 13167.3285 and -980? 14147.3285 Put together 0.05491089807 and 8.33. 8.38491089807 What is the difference between 5 and 0.2310373435691? 4.7689626564309 Calculate -3 + -2079810.997983. -2079813.997983 Calculate -16375162.539848 - 4. -16375166.539848 Work out -4867447.5774848 + 0.15. -4867447.4274848 What is -1836947477680 plus -0.1? -1836947477680.1 What is the distance between 0.12 and -1022420774804? 1022420774804.12 What is the difference between 68675 and -6726.903468? 75401.903468 What is -80304362227 - -0.004? -80304362226.996 What is the distance between -0.04596 and 102.158106075? 102.204066075 -261262774.534 - 0.03 -261262774.564 What is 2.656 minus -5000680702? 5000680704.656 Total of -62.09021 and -46652. -46714.09021 59 - -4244123769.9 4244123828.9 Work out -43990252 - -0.2001132. -43990251.7998868 Work out -101952400 - -114.554. -101952285.446 What is -0.001 plus -3897280.78382? -3897280.78482 What is the distance between 1180.7 and -108915.05? 110095.75 Add 1152.3427 and -177412. -176259.6573 What is 16732 minus 39504934.66? -39488202.66 What is 2 minus 154361170.7? -154361168.7 Add together 21091.8989501 and 0.3. 21092.1989501 Subtract 2043.128854 from 20245. 18201.871146 What is 3200788588 take away 26.9? 3200788561.1 Add -0.117721144606 and 226. 225.882278855394 0.1+65.362122192 65.462122192 What is 28549553431 - 1? 28549553430 -48.6 + -278558.81 -278607.41 Total of 11.0601 and 48971. 48982.0601 -0.4+-38225073532 -38225073532.4 Total of -26 and -110417347.243. -110417373.243 Work out -63981021220.8 + -340.
{ "pile_set_name": "DM Mathematics" }
g**3*v**2 - 87*g*v**2 - v**2 wrt v. -2271030*g**3 Differentiate -39350*d**2*q + d**2 - 2*d - 735 wrt q. -39350*d**2 Find the first derivative of -2*l**2*w**2 - 4*l**2 - 50508*l*w**3 + 4*l + 27 wrt w. -4*l**2*w - 151524*l*w**2 Find the third derivative of 9080*c*l**3*t*u**2 + 3*c*l**2*t - 8*c*l*t*u - 9*c*l*u**2 - 2*t*u**2 + 6*t*u wrt l. 54480*c*t*u**2 What is the second derivative of 1207*c**2*y**3 - 21*c**2*y + 4507*c*y**3 + 27*c wrt c? 2414*y**3 - 42*y What is the third derivative of -4*f*g*q**3*u - 2*f*g*q**2*u**3 + 9*f*g*q*u**3 - g*q**2*u**2 + 7*g*u**2 - 454*q**3*u**3 + 14*q**2*u**3 + q**2 wrt q? -24*f*g*u - 2724*u**3 What is the second derivative of -87600*d*j**3 - 440*d*j - 12*d - 5 wrt j? -525600*d*j What is the first derivative of 985999*o + 895960 wrt o? 985999 What is the derivative of 1265*x*y - 150168*x + 3*y wrt y? 1265*x + 3 Find the second derivative of i*u**5 - 3*i*u - 107*i + 230389*u**5 - u + 22 wrt u. 20*i*u**3 + 4607780*u**3 What is the second derivative of -58*h**3*l - 535*h**2*l**3 + 6*h*l**3 - 39*h - 33*l**2 - 2*l wrt h? -348*h*l - 1070*l**3 Find the third derivative of -4*f*p**5 + 83*f*p**3 + 45467*f*p**2 - 9*p**3 wrt p. -240*f*p**2 + 498*f - 54 Differentiate 5*b*n**2*o**3 + 2832*b*n*o**3 + 387736*n**2*o**2 + 3*o**3 wrt b. 5*n**2*o**3 + 2832*n*o**3 What is the second derivative of 38090*s**2 - 39398*s wrt s? 76180 What is the third derivative of 32*h**6 - 199*h**4 - 5*h**2 - 1077 wrt h? 3840*h**3 - 4776*h What is the third derivative of 37457*d**2*x**3 - 2*d**2*x**2 + 66*d**2 + 22*x wrt x? 224742*d**2 What is the derivative of 45409*z**3 + 83879? 136227*z**2 Find the second derivative of 9093*r**3*x**2 + r**2*x**2 + 8*r**2 + 2*r*x**2 + r*x - 2*r + 185*x**2 wrt r. 54558*r*x**2 + 2*x**2 + 16 What is the second derivative of 17*z**5 + 8*z**4 - 8*z**3 + 87920*z - 2? 340*z**3 + 96*z**2 - 48*z What is the second derivative of 1321254*f**5 + 2*f - 497174? 26425080*f**3 Find the second derivative of -281697*c**2 - 1182677*c wrt c. -563394 What is the first derivative of 136165*q**4 - 87213 wrt q? 544660*q**3 Find the third derivative of -20187*q**5 + q**2 + 426599*q. -1211220*q**2 What is the first derivative of -111498*m**3 + 1080? -334494*m**2 What is the derivative of a*h*l**2 - 83285*a*h + 2155*h*l**2 + 2*l**2 + 10*l wrt a? h*l**2 - 83285*h Find the second derivative of -54*a*l*t**2 - 632*a*l*t + 5*l*t + 446*t**2 + 2*t wrt t. -108*a*l + 892 Find the third derivative of -w**5 + 17*w**4 + 52*w**3 - 27*w**2 - 3616*w + 1 wrt w. -60*w**2 + 408*w + 312 Find the second derivative of -6*r**2*w**2 - 2*r**2*w - 320*r**2 - 3533*r - 5*w**2 wrt r. -12*w**2 - 4*w - 640 Find the first derivative of 2*v**4 + 13*v**2 - 23*v + 43162. 8*v**3 + 26*v - 23 What is the second derivative of -2*b**2*y**3 - 5141*b**2*y**2 + 7*b**2 + b*y**3 - 2*b + 1716*y**3 - 3*y - 1 wrt b? -4*y**3 - 10282*y**2 + 14 What is the second derivative of 37464*d**3 - 2*d**2 - 1956*d - 29? 224784*d - 4 Find the second derivative of 3*u**4*z + u**3*z - 2*u**2*z - 57*u**2 + 112*u*z + 41*u wrt u. 36*u**2*z + 6*u*z - 4*z - 114 What is the second derivative of 98422*x**5 + 759*x - 22 wrt x? 1968440*x**3 Differentiate -211*a**3 - 16*a + 6689 with respect to a. -633*a**2 - 16 What is the third derivative of -7*g**5 + 300*g**4 - 47*g**2 - g - 227 wrt g? -420*g**2 + 7200*g Differentiate g*j*n**2*o - g*j*n - 1858*g*j*o - 2*g*n**2 + g*n + g*o - 20*g + 32*j + 216*n**2*o + 3*o wrt j. g*n**2*o - g*n - 1858*g*o + 32 Find the third derivative of -105390*k**3*l**6 + 1799*k**3*l - 3*k**3 + 2*l**2 wrt l. -12646800*k**3*l**3 Find the first derivative of 3*f*m**2 + 25*f*m + 40*f - 32*m**2 - m + 126 wrt f. 3*m**2 + 25*m + 40 Differentiate h**3*o**3 - 3252*h**3 - 954*o**3 - 2 wrt o. 3*h**3*o**2 - 2862*o**2 Find the second derivative of -1034421*f**2 - 62652*f. -2068842 Differentiate 1223099*l**2 - 1215772. 2446198*l What is the derivative of 2*x**4 - 604198*x**3 + 2*x - 1232858? 8*x**3 - 1812594*x**2 + 2 Find the second derivative of 2832*c**2*r**2 + 2*c**2*r + 2*c**2 + 61*c*r**2 + 72*c*r + 14*c + r wrt c. 5664*r**2 + 4*r + 4 Find the third derivative of 43*v**6 + 20*v**5 + 83*v**3 + 22*v**2 - 3*v - 144 wrt v. 5160*v**3 + 1200*v**2 + 498 What is the first derivative of -2317*b**4*g + 2*b**4 - 28813*g + 1 wrt b? -9268*b**3*g + 8*b**3 Find the third derivative of -939*o**4*x + 2*o**4 + 262*o**3*x + o**3 - o**2*x - 711440*o*x wrt o. -22536*o*x + 48*o + 1572*x + 6 Find the third derivative of -223201*g**3 - 25*g**2 + 1503. -1339206 Differentiate 123102*f**3 + 213279. 369306*f**2 Differentiate -1769*k*n - 18*k + 8323*n with respect to k. -1769*n - 18 What is the first derivative of 3*i**2*t - 8165*i**2 - 3311*t wrt t? 3*i**2 - 3311 What is the second derivative of 2092315*g**2*u**3 + 74853*g + 5*u**3 wrt g? 4184630*u**3 Find the second derivative of -1166795*w**2 - 6*w - 74840 wrt w. -2333590 What is the first derivative of 1579*o**4*t - 14*o**3*t + 2*o - 60*t - 2316 wrt o? 6316*o**3*t - 42*o**2*t + 2 What is the third derivative of 20*u**4 - 35254*u**3 - 913642*u**2 wrt u? 480*u - 211524 Find the second derivative of 207*f**3 - 4*f**2 + 399*f - 37 wrt f. 1242*f - 8 What is the third derivative of 482*j**4*z**2 + 3*j**3*z**2 + 25*j**2*z**2 + 521*j**2 wrt j? 11568*j*z**2 + 18*z**2 Find the third derivative of 151545*n**5 + 5*n**2 + 5946 wrt n. 9092700*n**2 What is the third derivative of 18923*i**2*q**2*u**3 + 625*i**2*q**2 + 23*i**2*u**2 - 2*i**2*u + 3*i*q**3 + 7*i + 11*q**3*u**3 wrt u? 113538*i**2*q**2 + 66*q**3 Find the second derivative of -704*f**2*m**2 + 3*f**2 - 14*f*m**2 - 125*f*m + m**2 wrt f. -1408*m**2 + 6 What is the third derivative of 2*g**4 - 11167*g**3 - 219608*g**2 wrt g? 48*g - 67002 Find the first derivative of 40135*d**2*s**3 + 28*d**2 - 21*d wrt s. 120405*d**2*s**2 Find the second derivative of 404827*a**3 - 202861*a wrt a. 2428962*a What is the derivative of 198651*p**3 - 777878 wrt p? 595953*p**2 Find the second derivative of 4277424*t**2 + 208534*t - 1 wrt t. 8554848 What is the second derivative of 185*w*x**3 + w*x**2 - w*x + 38*w + 41*x**3 - 2*x**2 - 207*x wrt x? 1110*w*x + 2*w + 246*x - 4 Find the second derivative of f**3*l**3 - 1210*f**3*l - 25*f**2*l**3 + f*l**3 - 1626*f*l + 16*f wrt f. 6*f*l**3 - 7260*f*l - 50*l**3 What is the third derivative of -225*b**4*i + b**4*x**2 + 15*b**3*i + 5*b**2*i*x + 2721*b*i*x**2 wrt b? -5400*b*i + 24*b*x**2 + 90*i What is the third derivative of 375283*p**3 + 388361*p**2? 2251698 Find the first derivative of 343237*h + 775689. 343237 Find the first derivative of 11*p**3 + 18*p**2 - 20*p - 50212 wrt p. 33*p**2 + 36*p - 20 Find the second derivative of 86579*l**2 + 64327*l wrt l. 173158 What is the second derivative of 46607*r**5 - 857*r + 1 wrt r? 932140*r**3 Find the second derivative of 21*b**2*v**2 - 752*b**2*v - 4*b**2 + 1199476*b*v**2 wrt b. 42*v**2 - 1504*v - 8 Find the first derivative of 121*l**2 - 239*l - 324033. 242*l - 239 What is the third derivative of -32804*s**4 + 478511*s**2 wrt s? -787296*s What is the first derivative of 164914*w**2 + 2*w - 210590? 329828*w + 2 Find the third derivative of 72*d*y**4 - 2*d*y**3 - 2*d*y**2 + 85776*d + 2*y**4 + 12*y**3 wrt y. 1728*d*y - 12*d + 48*y + 72 What is the derivative of 227417*c**2 + 1170982 wrt c? 454834*c What is the first derivative of -70731*b + 42397? -70731 Find the third derivative of 274*c*z**3 + 2*c*z**2 + 845*c - 11*z**4 - 8*z**3 + 47*z**2 wrt z. 1644*c - 264*z - 48 Find the third derivative of 231*l**4 - 294*l**3 - 5*l**2 - 6*l + 1752 wrt l. 5544*l - 1764 What is the second derivative of -259996*g**2 - 683920*g? -519992 What is the second derivative of -55394*c**2*d**2*m**2 - 9*c**2*d**2*m + 2*c**2*d + 3*c**2*m**2 - 59704*c*d*m**2 wrt d? -110788*c**2*m**2 - 18*c**2*m Find the second derivative of 2*f**5 - 2875*f**2 + 47240*f. 40*f**3 - 5750 What is the second derivative of 100798*f**2*q**2 + 11*f*q**2 + f + 4 wrt f? 201596*q**2 Find the second derivative of -3046*h*n**5 - h*n**3 - 6*h*n**2 - 2*h*n - 28*h - 10*n - 7 wrt n. -60920*h*n**3 - 6*h*n - 12*h What is the third derivative of 10*n**4*o + 2*n**4 + 197*n**3*o + 5*n**3 - 34109*n**2*o wrt n? 240*n*o + 48*n + 1182*o + 30 Find the second derivative of -22*r**5 - 1421*r**3*z**2 - 2*r*z**2 - 262*r*z + r - 20*z**2 wrt r.
{ "pile_set_name": "DM Mathematics" }
is 2 less than 301.336786? 299.336786 Total of 4553866 and -0.17. 4553865.83 Sum 9830103 and 7. 9830110 895291 - 7103 888188 Total of -3.57 and 23639287. 23639283.43 Work out -3959631.22 - 0.4. -3959631.62 What is -17618.251 take away 1? -17619.251 143051.25+0.2 143051.45 -2 - 15811752 -15811754 Add 1871 and 1684.6. 3555.6 0.023 + 16840204 16840204.023 What is 29571.2 take away 59456? -29884.8 Calculate -1975511901 + 0. -1975511901 Calculate 0.4127446 + 6137. 6137.4127446 What is the distance between -0.0853609 and 0.04? 0.1253609 What is 2116 plus 302053? 304169 -2 - 119.1230554 -121.1230554 Work out 47 - 58699950. -58699903 Calculate -15552992 - 0.197. -15552992.197 22 - 412394 -412372 What is the distance between 85 and -2109.3354? 2194.3354 What is -8.18 - -667672? 667663.82 558 - 26239 -25681 -0.053 - 6.40945 -6.46245 Sum -28170 and 206.4. -27963.6 What is 2.5 take away 4.0950428? -1.5950428 What is the difference between 686 and -66268639? 66269325 Add together 1850495824 and 0.3. 1850495824.3 Work out 1501.43981 + -6. 1495.43981 What is 55158088514 plus 0.3? 55158088514.3 556 - -82024 82580 -0.4+-5877606.7 -5877607.1 Add 5250469 and 7. 5250476 What is -3804 less than -81983? -78179 Put together -2.022 and 0.1101037. -1.9118963 What is 2.478 + -12240? -12237.522 What is 0.5 + 45.0318482? 45.5318482 Add together 0.119 and 179240.9. 179241.019 Subtract -1866.08 from 57. 1923.08 Work out -0.274050475 - -0.3. 0.025949525 Total of 302440 and -0.13. 302439.87 Put together 0.09 and 17130191. 17130191.09 -146 - -1.041061 -144.958939 What is 200.889 take away -12? 212.889 Work out 993450.1 - 82.1. 993368 Work out 1 - -3738350. 3738351 What is 1 plus 31.481392? 32.481392 -3267272101.6+-1 -3267272102.6 Subtract -40.88928617 from 4. 44.88928617 Put together -21 and 86253.61. 86232.61 What is the difference between -97433 and -21.63? 97411.37 What is -13841728 minus 96? -13841824 Sum -0.1 and 1358288222.3. 1358288222.2 Work out -508409 - 1.13681. -508410.13681 What is the difference between -0.69223244 and 0.02? 0.71223244 Subtract 3.142754 from 0.11491. -3.027844 What is 2.49181 less than 3405? 3402.50819 Work out 32234.3248 - -266. 32500.3248 What is the distance between -9.884809 and 0.87? 10.754809 6769 + 1.046 6770.046 Subtract 297823150 from 16. -297823134 What is the distance between 1.09768673 and 2? 0.90231327 -0.9+-27999286 -27999286.9 Subtract -0.24552 from 0.037. 0.28252 Calculate 117 - 6294747. -6294630 What is -0.09 + 2240553092? 2240553091.91 Subtract -15.059809 from -0.2. 14.859809 Sum 10 and -218876413.5. -218876403.5 Add 28506.36 and 0.4. 28506.76 What is -8.28461 plus 0.027? -8.25761 Calculate 20 - -1754.3288. 1774.3288 What is the difference between 395050.06 and 1? 395049.06 What is 0.44 less than -14.07555? -14.51555 -0.1+-4989254 -4989254.1 What is 1867031 less than -0.8? -1867031.8 Calculate -8793 - -276. -8517 What is the distance between -16672 and -0.04? 16671.96 What is 2.07 minus 1706.5? -1704.43 Total of -141019 and 0.139. -141018.861 Subtract -0.3 from 12668272.1. 12668272.4 Calculate 0.1525 + 21599851. 21599851.1525 What is -3 minus 40052601? -40052604 What is -0.01358 minus 277? -277.01358 What is the difference between 79444 and -3110? 82554 What is 735.17 minus -26.32? 761.49 Subtract 2 from -0.17138465. -2.17138465 Add together 45.531 and -623.85. -578.319 What is -0.42335 minus 8679.05? -8679.47335 What is the difference between 31.26015 and 0.06? 31.20015 Work out -1543 - 175758. -177301 Calculate -5 - 675184.8. -675189.8 Total of 1.71538 and -43. -41.28462 Add 30328 and -35. 30293 Total of -372959 and 800. -372159 Calculate -15.880851 - 215.1. -230.980851 Work out 19095 + 106.943. 19201.943 What is the distance between 84.024 and -0.9? 84.924 What is 0.8 take away -5296.162? 5296.962 What is the distance between -7 and -15466.41? 15459.41 What is 1.1 + 3256831? 3256832.1 What is -0.1 - -25636562.95? 25636562.85 Add together -47792135 and 0.4. -47792134.6 -229929244946 + 0.4 -229929244945.6 Sum 3 and 10641493874. 10641493877 Sum 28.746 and -801. -772.254 Work out -18 + 334396280. 334396262 What is the distance between 1840 and -3360.049? 5200.049 What is -83713.88 minus 0.315? -83714.195 Add 1 and -0.7345545. 0.2654455 Calculate 0.6 - -3831837217. 3831837217.6 What is 3475.8839 plus -24? 3451.8839 What is the difference between -19 and 0.0724985? 19.0724985 Work out -99229800 - -4. -99229796 Subtract 1.173105 from -0.0345. -1.207605 -109.67+20907 20797.33 What is -0.3663527 - -0.5? 0.1336473 -1320 + -59660005 -59661325 What is 17.916 plus 1000? 1017.916 What is -1 + 2064405? 2064404 What is -13285.2 - -7.2? -13278 Add together -0.033 and 1265924. 1265923.967 Calculate -39897749 + 0.112. -39897748.888 Work out 5720.4 + 35. 5755.4 What is the difference between -13475358 and 0.5? 13475358.5 What is 839145 - 1697? 837448 What is -3 less than -21415655? -21415652 1655626 + 80.2 1655706.2 What is 1.52 less than 306848? 306846.48 -211 - -38977.9 38766.9 What is the difference between 151265 and 136.5? 151128.5 Add -1146 and 2306644. 2305498 Add -36416 and 1408. -35008 What is 1.40559 less than 1.3325? -0.07309 What is -15.48823 plus -0.02? -15.50823 What is -27 less than -0.30791185? 26.69208815 What is 1531213447 minus 0.72? 1531213446.28 Calculate -23.7 + -866038. -866061.7 Calculate 3227.389 - -6.016. 3233.405 What is 1.1 minus -0.533921? 1.633921 Calculate 3950 + 5.1985. 3955.1985 Calculate 29.48026 + -4.3. 25.18026 What is -6.272274 + -36? -42.272274 What is 0.1063 - 0.4455305? -0.3392305 What is the difference between -28.6393283 and -0.4? 28.2393283 What is 123012 less than -0.168? -123012.168 What is the difference between -0.2 and 4313.8? 4314 Work out -6.69 + 351.54. 344.85 What is 3 - 52803743? -52803740 Subtract -95.7 from -399392. -399296.3 Sum -0.2073 and 102021.3. 102021.0927 What is the difference between 19252305 and 29? 19252276 What is -29333 plus -23891? -53224 2469294 - -236.8 2469530.8 59454 - 0.088 59453.912 Subtract -3717242 from 3939.5. 3721181.5 What is -12.586 take away -0.04411? -12.54189 What is 5558220.3 minus -49.9? 5558270.2 Sum -19.7 and -48.693701. -68.393701 Work out -172770.4 + -4. -172774.4 What is the difference between 57440.61118 and -1? 57441.61118 Subtract 9386 from -211072. -220458 Work out -757 + -7036. -7793 145126 - -0.90697 145126.90697 What is -0.3 less than 0.03775077758? 0.33775077758 246132455 + -0.129 246132454.871 Total of -83.294 and 0.09724. -83.19676 What is 72959 less than 0.0307? -72958.9693 What is -91 less than -798.4841? -707.4841 Calculate -0.02156 + 3.4185. 3.39694 Add together 0.492 and -76083. -76082.508 Sum 10.83 and 22211. 22221.83 What is -2903 minus -5392.4? 2489.4 What is -5658 less than 1.009? 5659.009 Add together -58791107 and 53. -58791054 Add -93951865.5 and -3.5. -93951869 What is 0.0478957 take away -0.029? 0.0768957 What is -25667.33 minus 487? -26154.33 0 - 272955 -272955 -46473892551 - 0.5 -46473892551.5 Calculate 104299668 - -1.66. 104299669.66 What is 31930451.7 less than 0.07? -31930451.63 What is -933 minus 4361161? -4362094 Add together 0.04945 and -4837. -4836.95055 Work out 13 + -54456393. -54456380 Work out -0.0005011 + 80.4. 80.3994989 Add together 0.3 and 4643561811. 4643561811.3 3656491115 - 0.09 3656491114.91 What is 185249.7 less than -5? -185254.7 Sum -908.5 and -2.314. -910.814 What is -107.007379 take away -0.2? -106.807379 -14+-43.3494 -57.3494 Work out 10 - -808129. 808139 Calculate 2851.81 + -55.6. 2796.21 Subtract 18.406 from -58. -76.406 What is -207674187 plus 2? -207674185 -3814596 + 0.14 -3814595.86 Work out -620639 - 2. -620641 What is -121920.7 + 0.186? -121920.514 Subtract 23.3 from -178.08. -201.38 Work out 24.8 + 369.3657. 394.1657 Subtract -24.9 from -78.234. -53.334 Calculate 29419552 - 2. 29419550 Add 0.483 and 661424.3. 661424.783 What is -0.05451 minus -0.033? -0.02151 Add together 7185 and -20.45. 7164.55 What is the distance between 0.13898238 and -0.046? 0.18498238 What is -0.47748 less than -7069? -7068.52252 What is -2296 less than 14808? 17104 What is -53296373 - 0.14? -53296373.14 Add -1 and -368931781. -368931782 What is 267795 take away 2831? 264964 Subtract -33819 from -24069. 9750 What is 3
{ "pile_set_name": "DM Mathematics" }
0/((-4)/2 - 0). Suppose c = w - s. List the prime factors of w. 2 Suppose 0*r + 4*r = 0. Suppose -2*d = 3*g - 16, -3*g - 2*g = -3*d - 14. Suppose -i - 3*k = -r*k - 13, -i + d*k + 18 = 0. List the prime factors of i. 2 Let a be ((-4)/(-12))/((-2)/(-24)). Suppose p + 60 = a*p. List the prime factors of p. 2, 5 Let r be (-56)/(-35) - 2/(-5). Suppose m - 66 = -r*m. What are the prime factors of m? 2, 11 Suppose 3*l + l = 0. Suppose l = 4*d - u + 2*u - 72, -4*u = 0. What are the prime factors of d? 2, 3 Let d be 2/(-1) - 1*-3. Suppose 2*o = 3 + d. Suppose 2*l - 24 = -4*n - o*l, -5*n - 3*l + 40 = 0. What are the prime factors of n? 11 Let w = 0 - 2. Let r = 5 + w. Suppose 3*f + 19 = 2*g - 0*f, 0 = r*f + 9. What are the prime factors of g? 5 Suppose h - s - 4 = -3*s, h + 3*s - 9 = 0. Let k = h + 9. Suppose 0 = -5*x, -g + k*x + 40 = 3*g. What are the prime factors of g? 2, 5 Suppose 3*l = -0*l - 9. Suppose 4*x + 3*f - 4*f = -34, 3*x = 4*f - 19. Let b = l - x. What are the prime factors of b? 2, 3 Suppose u + 29 - 2 = 0. Let g = 0 - u. What are the prime factors of g? 3 Let i = 94 - -115. What are the prime factors of i? 11, 19 Let z = 7 + -13. Let h = 3 + z. What are the prime factors of (-22)/h - (-4)/6? 2 Let s(c) = -c**2 + 5*c - 4. Let a be (20/(-6) - -2)*-3. Let i be s(a). Suppose i = -0*d - d + 3. List the prime factors of d. 3 Let t(x) = 6*x**2 - 6*x - 9. Let l(c) be the first derivative of -5*c**3/3 + 5*c**2/2 + 9*c - 3. Let d(q) = 7*l(q) + 6*t(q). List the prime factors of d(0). 3 Let u(w) = w**2 + 8*w - 9. Let n be u(-9). Suppose 3*f = -j + 53, 3*j + 2*j = 3*f - 23. Suppose n*a + f = a. List the prime factors of a. 2 Suppose -7 - 35 = -z. List the prime factors of z. 2, 3, 7 Suppose -4*j = 5*p - 14, 3 = 2*p - 0*p - j. Let c(y) = y**2 - 2. Let a be c(p). Suppose 3*d - 5*u = 10 + 14, -16 = -a*d + 3*u. What are the prime factors of d? 2 Let i = 80 + -13. What are the prime factors of i? 67 Let x(a) = 0*a**2 - a**3 + 3*a**3 - 4*a - 7*a**2 - 3*a**3. Let r be x(-5). Let i = r + 42. What are the prime factors of i? 2, 3 Suppose 3*a + 8 = a - g, -4*a + 3*g + 4 = 0. What are the prime factors of (3 - a - -3)*1? 2 Let z(j) = -6*j**3 - 4*j**2 - 4*j + 5*j**3 + 9*j**2 + 6. List the prime factors of z(4). 2, 3 Let y = 13 - 9. Let h(o) = 3*o**2 - 1 + 6*o + 4 - 2 - 4*o**2. What are the prime factors of h(y)? 3 Let c(j) = -j**2 - 7*j + 7. Let g be c(-8). Let x(o) = 15*o**3 + o**2. Let p be x(g). List the prime factors of 4/p - (-116)/14. 2 Let f(d) = 5*d**2 + 2*d - 2. Let c = 6 + 4. Let y be (2/(-5))/(2/c). List the prime factors of f(y). 2, 7 Let g be 3 - ((-1 - -2) + 0). Suppose 0 = 5*s - 4*z + 2*z - 17, 0 = -4*s - g*z + 28. List the prime factors of s. 5 Let v(z) = z**3 + 15*z**2 - 2*z - 7. List the prime factors of v(-15). 23 Let u be -3 + 24 - (-2 - -3). Suppose -3*c = -7 - u. List the prime factors of c. 3 Let a(w) = 0 + w - 1 + 1. What are the prime factors of a(5)? 5 Suppose 3*d = -2*d + 10. Let u = -16 - d. Let k = u + 35. List the prime factors of k. 17 Let h be ((-1)/3)/((-5)/(-15)). Let z be (-6)/(-2) + 1/h. Suppose d - 4*r + 18 = z*d, 2*r = -2*d + 18. What are the prime factors of d? 2, 3 Let x(g) = -3*g**2 + 4. Let f(d) = 3*d**2 - 5. Let y(o) = -3*f(o) - 4*x(o). What are the prime factors of y(1)? 2 Let g = 116 + -80. Let k = g + 5. List the prime factors of k. 41 What are the prime factors of 6/2*(-92)/(-6)? 2, 23 Let j(p) = -p - 6. Let x be j(-7). What are the prime factors of x - (-3 + 0)/1? 2 Suppose -38 + 9 = -b. Suppose -2*d + 33 = -b. Let z = -9 + d. What are the prime factors of z? 2, 11 Suppose 2*t + 10 = -5*z - 4, 0 = 4*z + 16. Suppose 2*f + 9 = 5*p, 2*p = -4*f + 2*f + 12. Suppose 9 = f*y + 2*y - s, 2*s - 8 = -t*y. List the prime factors of y. 2 Let m be (-1 + 0*(-1)/(-2))*3. Let z(q) = 1 - 3 - 6*q + 0. What are the prime factors of z(m)? 2 Suppose -u = 5*q - 145, 3*q + 2*u = -u + 99. What are the prime factors of q? 2, 7 What are the prime factors of (16/(-5))/(1/(-10))? 2 Suppose -6*l = 271 - 1399. Suppose 6*x - 10*x + l = 0. What are the prime factors of x? 47 Let h = 26 + -22. Let k be (4 + 2)/((-6)/(-8)). Suppose -h*x = k, -3*o + x + 48 = -2*x. List the prime factors of o. 2, 7 What are the prime factors of -2 + 143 + 2/2 + -3? 139 Suppose 155 = 9*z - 8*z. What are the prime factors of z? 5, 31 Let i(r) = -r**3 - 6*r**2 - 3*r + 3. Let d be i(-6). Suppose -3*b - 3 + d = 0. What are the prime factors of b? 2, 3 Let t(f) = -f - 4. Let o be t(-7). Suppose 4*x - o*x - 2 = 0. Suppose 0 = 3*w - 11 + x. What are the prime factors of w? 3 Let g = -69 + 111. List the prime factors of g. 2, 3, 7 Suppose d = -3*c + 42, 74 + 150 = 4*d - 2*c. List the prime factors of d. 2, 3 Let i(c) = 0*c + 3 - 3*c + 0*c - c**2 + 4*c + c**3. List the prime factors of i(3). 2, 3 Suppose 1 + 38 = 3*q. List the prime factors of q. 13 Suppose -9*l = -13*l. Suppose 4*p = -4*k - 26 + 146, l = -5*p - 3*k + 142. List the prime factors of p. 2, 13 Let c be (-4)/(-6) - 70/(-21). List the prime factors of (27/c)/(6/16). 2, 3 Let x be (-15 - (-1 - -2)) + 2. Let i = x + 6. Let m = 0 - i. What are the prime factors of m? 2 Let i(b) = b**2 - 11*b - 10. What are the prime factors of i(14)? 2 Suppose 2*r - 193 = -2*g - 63, 0 = 2*r + 5*g - 118. What are the prime factors of r? 3, 23 Let w = 171 - -10. What are the prime factors of w? 181 Let g = 38 - 8. List the prime factors of g. 2, 3, 5 What are the prime factors of (-10)/(-40) + (-654)/(-8)? 2, 41 Let g = -13 + 6. List the prime factors of 2/g - 308/(-49). 2, 3 Suppose 0 = -w - 5 + 1. Let q be (w/5)/(2/(-5)). Suppose 4*m = q*m + 24. What are the prime factors of m? 2, 3 Let a(w) = 3*w**2 - w - 1. Let q be a(-1). Let l be 0/(-2*q/(-6)). Suppose -2*b + 8 = l, 0*b - 4*b = c - 19. What are the prime factors of c? 3 Let s = 4 + 1. Suppose 3*o = 8*o + 2*x - 54, -o = s*x - 20. What are the prime factors of o? 2, 5 Let q = 4 - -4. List the prime factors of q. 2 Let x be 0/(-2) + (-150)/(-5). Suppose 7*r = 10*r - x. Suppose r = o + 3*v, 3*o + 2*v = -3*v + 34. List the prime factors of o. 13 Let b(c) = 7*c + 2 - 1 + 0. Suppose -3 - 1 = -4*d. List the prime factors of b(d). 2 Suppose x + 24 = -3*x. Let z(w) = w**3 + 7*w**2 + 3*w - 6. Let k be z(x). What are the prime factors of -1 + -1 - k/(-2)? 2 Let u be (-12)/(-24) + 290/4. Suppose -5*t + 161 = -2*j, 3*t - 8 = -4*j + u. List the prime factors of t. 31 Let f(a) = a + 3. Let i be f(-3). Suppose r + i*r - 4 = 0. What are the prime factors of r? 2 Let t(p) = -p**3 + 11*p**2 - 9*p. Suppose -6*h = -h - 50. What are the prime factors of t(h)? 2, 5 Let u(f) = f**3 - 2*f**2 + 2*f - 2. Let x be ((-2)/4)/((-6)/108). Let j be (2*x/3)/2. What are the prime factors of u(j)? 13 Suppose -5*n + 3*h + 49 = 0, n - 4*h - 14 = -2*h. What are the prime factors of (-4)/(n/(-3))*2? 3 Let l be (4/6)/((-2)/3). Let n = 20 - l. List the prime factors of n. 3, 7 Let y be (1/(-3))/(2/(-12)). Suppose -y*t + 3*l = -40, -3*l = -2*l. List the prime factors of t. 2, 5 Let g(s) be the first derivative of -s**5/120 + s**4/3 + 2*s**3/3 - 1. Let p(i) be the third derivative of g(i). What are the prime factors of p(6)? 2 Suppose 74 = 5*m - 101. What are the prime factors of m? 5, 7 Suppose -5*b + 189 = 2*z, -2*b + 96 = z + 2*b. Suppose -5*u + 2*j + 0*j + 86 = 0, -5*u + 4*j = -z. List the prime factors of u. 2 Let h(q) = -2*q - 5. Suppose 16 = 3*l + 1, 0 = -2*v - 3*l + 1. List the prime factors of h(v). 3 What are the prime factors of 45*(42/9)/7? 2, 3, 5 Let k be (33/(-22))/((-3)/14). Suppose 3*r = 14 + k. What are the prime factors of r? 7 Let r(k) = -3*k**3 - k. Let f be r(-2). Let q = -15 + f. List the prime factors of q. 11 Suppose -2*b + a = -3*b - 23, 5*a + 7 = b. Let h = -9 - b. List the prime factors of h. 3 Let y(h) be the third derivative of -h**6/120 + 3*h**5/20 + h**4/2 - 5*h**3/6 + 3*h**2. Suppose 0 = -2*t + 7*t - 50. List the prime factors of y(t). 3, 5 Suppose 0 = -4*j + 20 + 12. Suppose -5*c + c + 4*z - j = 0, -4*c = z + 23. List the prime factors of ((-6)/c)/(6/45). 3 Let v(n) = -40*n**3. Suppose -4*t + 13 = 3*z, 2*t - 3 = -z + 4. List the prime factors of v(z). 2, 5 Let j = 20 - 33. Let o = j - -19. List the prime factors of 18/4*4/o. 3 Suppose -x - 3*d = -8, 4 = -5*x - 2*d - 2*d. Let n(o) = 2*o*
{ "pile_set_name": "DM Mathematics" }
2*x + x**3 + x**2 - 3*x**2 + 0*x**3 - 3. Give q*o(h) - 18*k(h). 2*h**3 + 2 Let l(o) = 2*o**2 - 2*o + 2. Let w(j) = j**2 - j + 1. What is -4*l(g) + 7*w(g)? -g**2 + g - 1 Let f(p) = -13*p**2 + 2*p + 2. Let s(w) = 14*w**2 - 3*w - 3. Determine 3*f(o) + 2*s(o). -11*o**2 Let s(p) = -12*p + 3. Let v(j) = 11*j - 3. What is -6*s(u) - 7*v(u)? -5*u + 3 Let c(i) = -8*i**3 + 10*i**2 + 6*i + 6. Let x(y) = -y**3 + y**2 + y + 1. Determine -c(k) + 6*x(k). 2*k**3 - 4*k**2 Let f(o) = 5*o**2 + 2*o. Let h(k) = -5*k**2 - 2*k. Let b(r) = -7*f(r) - 6*h(r). Let w(l) = l**2. Let g(x) = x - 3. Let y be g(2). What is y*b(z) - 6*w(z)? -z**2 + 2*z Let m(y) = 2*y**2 - 5*y - 5. Let j(t) = 2*t**2 - 5*t - 6. Calculate 5*j(v) - 6*m(v). -2*v**2 + 5*v Let p(v) = v**2 + 3*v + 5. Suppose 0 = 3*z, 4*k = 4*z - 9 - 3. Let j = k + 6. Let s(y) = -y**2 + 10 - 6 - 2*y - 7. Calculate j*p(c) + 5*s(c). -2*c**2 - c Let f(r) = -r + 1. Let l(n) be the first derivative of -3*n**2/2 + 2*n - 31. Calculate 9*f(t) - 4*l(t). 3*t + 1 Let h(z) = z**3 - 2*z**2 - 15*z + 6. Let d be h(5). Let f(o) = 4*o + 5. Let p(r) = -3*r - 4. Give d*p(l) + 5*f(l). 2*l + 1 Let w(h) = h. Let m(n) be the third derivative of 5*n**4/24 - n**2. Suppose 6*g + 28 = 4. Determine g*w(b) + m(b). b Let z(y) = -y**2 - 1. Let b(v) = -52*v**2 - 65. Give -b(x) + 65*z(x). -13*x**2 Let k(n) = 9 - 14*n**3 + 6 + 3*n**3 + 6*n**2 - 9 - 6*n. Let i(l) = 10*l**3 - 5*l**2 + 5*l - 5. Give -6*i(v) - 5*k(v). -5*v**3 Let v(n) = 47*n**2 - 4*n + 4. Let b(s) = 48*s**2 - 5*s + 5. What is -4*b(q) + 5*v(q)? 43*q**2 Let g(n) = -3*n**2 - 7*n - 2. Let z(k) = -7*k. Let f be z(1). Let c(o) = o**2 + 3*o + 1. What is f*c(b) - 3*g(b)? 2*b**2 - 1 Let d(r) = -4*r**2 - 4*r + 7. Let y(s) = 8*s**2 + 9*s - 15. Give 9*d(h) + 4*y(h). -4*h**2 + 3 Let a(i) be the first derivative of -i**3/3 + i**2 + 2*i - 1. Let n(u) = -u - 1. Suppose -3*s + 5*s + 10 = 0. Let k = s + 3. Determine k*n(z) - a(z). z**2 Let m(k) be the second derivative of -k**5/10 + k**4/6 - k**2 + k. Let l(c) be the third derivative of -c**5/60 + c**3/6 + 72*c**2. Determine 2*l(u) + m(u). -2*u**3 Let u(s) = 8*s**3 - 2*s**2 + 11*s + 1. Let v(i) = -15*i**3 + 3*i**2 - 21*i - 2. Let n(f) = 11*u(f) + 6*v(f). Let a(z) = z**2 + z. Calculate 5*a(g) + n(g). -2*g**3 + g**2 - 1 Let d(p) be the second derivative of -7*p**4/12 - 2*p**3/3 + 2*p**2 + 16*p. Let g(w) = -8*w**2 - 5*w + 5. Determine -5*d(u) + 4*g(u). 3*u**2 Let c(f) = -4*f + 7. Suppose 5*y + 5 - 15 = 0, -y = k + 7. Let g(v) = 2*v - 3. Give k*g(b) - 4*c(b). -2*b - 1 Let k(h) = -h + 4. Let f(a) be the second derivative of -a + 5/2*a**2 + 0 - 1/6*a**3 - 1/12*a**4. What is -2*f(i) + 3*k(i)? 2*i**2 - i + 2 Let y(k) = 14*k - 9. Let j(r) = -11*r + 3 + 19*r - 13*r. Calculate 11*j(l) + 4*y(l). l - 3 Let n be (4/(-8))/((-3)/(-12)). Let w(m) = 5*m - 2. Let q(h) = 1. Give n*q(c) - w(c). -5*c Let f(j) = -5*j + 2. Let b(u) = u - 1 - 1 + 3*u. Suppose 0 = z - 0*c - 5*c - 12, -4*z + 2*c - 6 = 0. Give z*b(g) - 2*f(g). -2*g + 2 Let k(u) = 19*u. Let n(s) = 10*s. Calculate -6*k(t) + 10*n(t). -14*t Let c(d) = -4*d**2 + 7. Let g(z) = -10*z**2 + 18. Calculate -12*c(l) + 5*g(l). -2*l**2 + 6 Let q(d) = -d + 5. Let w(g) = g - 6. Suppose -3*b = 5*u - 16 - 8, 3 = -3*u + 4*b. Let h = 82 + -78. Calculate h*q(v) + u*w(v). -v + 2 Let n(x) = 7*x**2 - 6*x - 8. Let j(r) = r**2 - r. Calculate 6*j(o) - n(o). -o**2 + 8 Let r(z) = -z**2 + 5*z - 3. Let w(g) = -3*g**2 - 2*g + 8. Let y(d) = -d**2 + d + 1. Let u(m) = w(m) - 4*y(m). What is 5*r(t) + 4*u(t)? -t**2 + t + 1 Let l(t) = -4*t**3 + 3*t**2 - 2*t - 4. Let n(g) = 5*g**3 - 4*g**2 + 3*g + 5. Determine -7*l(q) - 6*n(q). -2*q**3 + 3*q**2 - 4*q - 2 Let g(k) = k - 1. Let s(x) = 11 + x - 11. Let l(i) = -i - 1. Let q be l(-6). Suppose -2*y + 4*c - 9 = -y, q*y - 3*c = -11. What is y*g(b) - s(b)? -2*b + 1 Let u(r) = -r**2 - 1. Let k(a) = 13*a**2 + 8. Let w(d) = 7*d**2 + 4. Let b(y) = 3*k(y) - 5*w(y). Let p be 2/6 - (-16)/(-3). Calculate p*u(n) - b(n). n**2 + 1 Suppose -3*n - 24 = n. Let v(l) = 5*l**2 - l + 7. Let x(m) = -4*m**2 + m - 6. Give n*v(o) - 7*x(o). -2*o**2 - o Let x(p) = 3*p**3 - p + 3. Let w(c) = 14*c**3 - 5*c + 16. Give 2*w(t) - 11*x(t). -5*t**3 + t - 1 Let z(m) = -60*m**2 - 3*m. Let s(h) = 30*h**2 + 2*h. What is -5*s(b) - 3*z(b)? 30*b**2 - b Let w(j) = -5*j**2 - 6. Let l(t) be the second derivative of t**7/2520 + t**5/120 + t**4/6 - 2*t. Let p(c) be the third derivative of l(c). Give -6*p(n) - w(n). -n**2 Let j(m) be the second derivative of m**4/6 + m**3/3 - 2*m. Let n(w) = 4*w - 18 + w**3 + 3*w**2 + 19 + 2*w**2. Give 5*j(v) - 2*n(v). -2*v**3 + 2*v - 2 Let a(v) = -4*v**2 + 5*v - 5. Let h(j) = j**2 - j + 1. Calculate -a(r) - 5*h(r). -r**2 Let k(m) = m**2 - 10*m + 3. Let o(x) = 4*x**2 - 41*x + 12. Give 9*k(v) - 2*o(v). v**2 - 8*v + 3 Let n(t) = -3*t**3 + 5*t**2 + 5*t. Let u(m) = m**3 + 4*m**2 + 3*m + 3. Let g be u(-2). Let v(q) = 4*q**3 - 7*q**2 - 7*q. Calculate g*v(a) + 7*n(a). -a**3 Let a(i) = 17*i**2 + 8*i - 11. Let g = 7 + -16. Let n = g + 17. Let d(t) = -6*t**2 - 3*t + 4. Give n*d(o) + 3*a(o). 3*o**2 - 1 Let v(i) = -5*i - 6. Let m(p) = 5*p + 5. Determine -3*m(u) - 4*v(u). 5*u + 9 Let p(a) = -2*a**2 + 2*a - 1. Let w(z) = -2*z**2 + 3*z - 1. Let u = -13 - -8. Give u*p(x) + 4*w(x). 2*x**2 + 2*x + 1 Let z(m) = -m**3 - m. Let p be (6/4)/(-3 - (-9)/2). Let t(u) = -2*u**3 - u + 1. Give p*t(x) - z(x). -x**3 + 1 Let k be ((-5)/1)/((-3)/15). Suppose 5*w + k + 5 = 0. Let c(i) = -6*i + 3*i + 4*i + 3. Let x(h) = -2*h - 7. Give w*x(u) - 14*c(u). -2*u Let i(j) = 8*j**3 - 9*j**2 - 9*j + 9. Let h(k) be the first derivative of k**4/2 - 2*k**3/3 - k**2 + 2*k - 3. Determine -18*h(z) + 4*i(z). -4*z**3 Suppose -3*r = -r + 8. Let y(j) be the third derivative of -j**5/60 - j**2. Let u(x) = -2*x**2 + 2*x + 1. Let f = 0 - -1. Give f*u(s) + r*y(s). 2*s**2 + 2*s + 1 Let y(k) be the third derivative of 5*k**4/24 - k**3/3 - 16*k**2. Let h(l) = -11*l + 4. Determine 3*h(o) + 7*y(o). 2*o - 2 Let h(o) be the third derivative of 5*o**4/12 + 5*o**3/6 - 22*o**2. Let a(m) = 11*m + 6. Determine -5*a(f) + 6*h(f). 5*f Let a(u) = 0*u - 2*u + 3*u + 3. Let p(d) = d**2 - 5*d + 1. Let w be p(5). Let m(l) be the first derivative of l + 53. Calculate w*a(b) - 4*m(b). b - 1 Suppose -t + 82 = -4*t + 2*a, t - 5*a + 36 = 0. Let z(o) = o**2 + 2*o - 3. Let l = -58 - -64. Let p(k) = 4*k**2 + 9*k - 13. Calculate l*p(f) + t*z(f). -2*f**2 + 2*f Let j(f) be the third derivative of f**5/12 + 2*f**3/3 + 9*f**2. Let d(h) be the first derivative of -2*h**3 - 5*h - 3. Give 4*d(s) + 5*j(s). s**2 Let h be (-2)/4 - 3/2. Let q(j) = -4*j**2 + 3. Suppose -9 + 2 = -y. Let r(l) be the second derivative of -l**4/12 + l**2/2 + l. What is h*q(s) + y*r(s)? s**2 + 1 Let b = 6 - 14. Let p = b + 12. Let f(j) = -3*j**3 - 11*j**2 + 3*j + 8. Let w(y) = y**3 + 4*y**2 - y - 3. Calculate p*f(s) + 11*w(s). -s**3 + s - 1 Let a(l) = 7*l**3 + l**2 + 2*l - 2. Let c(p) = p**3 - p**2 + p - 1. Determine a(r) - 2*c(r). 5*r**3 + 3*r**2 Let s(a) = a**2 + a + 1. Let n(r) = r**3 - 8*r**2 - 3*r - 2. Determine n(v) + 6*s(v). v**3 - 2*v**2 + 3*v + 4 Let v(o) = -3*o**2 + 15*o + 4. Let b be v(5). Let s(k) = 3*k - 5 - 2*k**2 + 2*k - k. Let a(z) = -z + 1. Give b*a(r) + s(r). -2*r**2 - 1 Let z(i) = 73*i. Let v(l) = 24*l. Determine -7*v(u) + 2*z(u). -22*u Let b(c) = c**3 + 4*c**2 + 2. Let r(t) = 0*t**2 + 9*t**2 + 3*t**3 - 3 + 8. Suppose -15 = 5*s - 5. Give s*r(f) + 5*b(f). -f**3 + 2*f**2 Let z(r) = 2. Let o(q) = q**3 + 3*q**2 + 2*q + 2. Let v be o(-2). Let p(a) = -a - 7. Determine v*p(k) + 7*z(k). -2*k Let z(x) = -x + 1. Let i(n) = n. Suppose -4*d + 24 = -c, -3*c + 5*c = -d + 15. Suppose -4*m - 6 = -2*s, -m + d = -5*m + 3*s. What is m*i(p) - 2*z(p)? p - 2 Let s(f) = 2*f - 3. Let h(w) = 6*w - 10. Determine -3*h(o) + 10*s(o). 2*o Let t(p) = -p. Let h(i) = -10*i - 2. What is h(c) - 5*t(c)? -5*c - 2 Let z(n) = -3*n**2 - 3. Let b(h) = -14 + 10 - 6*h**2 + 3*h**2 + 2. Calculate -3*b(x) + 2*z(x). 3*x**2 Let x(t) = -t + 1. Let v(o) = -7*o**2 - 4*o + 6. What is -v(k) + 6*x(k)? 7*k**2 - 2*k Let a(u) = 2*u**3 + 9*u**2 + 11*u + 5. Let y(x) = x**3 + 5*x**2 + 6*x + 3. Give 3*a(o) - 5*y(o). o**3 + 2*o**2 + 3*o Let x(l) = -2*l**2 + l + 2. Let f(r) = -r**3 - r**2 + 1. Let t = 23 + -21. Give t*f(v) - x(v). -2*v**3 - v Let n(s) = -15*s + 2. Let f(o) = 10*o - 4
{ "pile_set_name": "DM Mathematics" }
*x - 12. What is the remainder when k is divided by 31? 27 Let x = 231 - 71. What is the remainder when 13 is divided by ((-12)/10)/((-24)/x)? 5 Let w(q) = -q**2 + 4*q + 11. Let u be w(5). Suppose -u + 16 = 5*k. Suppose 2 + 8 = k*f. What is the remainder when 9 is divided by f? 4 Let y(g) = -g**3 + 6*g**2 + 4*g + 11. What is the remainder when 206 is divided by y(6)? 31 Suppose -3*o = -c + 13 + 1, -2*c + 43 = -o. Let z(k) = 11*k**3 - 1. Let v be z(-1). Let u = v - -20. Calculate the remainder when c is divided by u. 7 Let s = 152 + -96. Suppose 0 = 10*t - s - 14. Calculate the remainder when 2/(-7) + (-79)/(-7) is divided by t. 4 Let m(q) = 6*q + 58. Let u be m(-9). What is the remainder when (((-140)/(-25))/7)/(u/230) is divided by 8? 6 Suppose 13*f = 11*f + 6. Suppose -10*z + 13*z - f = 0. Calculate the remainder when z is divided by 1. 0 Suppose -29*m + 9*m = -16740. Calculate the remainder when m is divided by 42. 39 Suppose 0*p - 5*p = 5*n - 45, 6 = 2*p + 5*n. Suppose 3*c + p - 16 = 0. Calculate the remainder when (-47)/(3 + -4)*c is divided by 16. 15 Let h = -156 + 348. Suppose 3*g - h = -g. Calculate the remainder when g is divided by (3*2/6)/((-7)/(-119)). 14 Let t(y) = 2*y**2 - 6*y + 6. Let b be t(8). Suppose 0*d - 3*d + 5*c + 105 = 0, -2*d + b = 2*c. Calculate the remainder when (-430)/d*(1 + -5) is divided by 15. 13 Let y(i) = 2*i**2 + 11*i + 9. Calculate the remainder when 0 + 1*-1 - (-33 - 26) is divided by y(-7). 28 Suppose 90 = h + c, -h - 2*c + 96 = -3*c. Let y = -633 - -657. Calculate the remainder when h is divided by y. 21 Calculate the remainder when 133 is divided by 5*3/45*90. 13 Suppose -8*b = 8*b - 896. What is the remainder when b is divided by 13? 4 Suppose 8*a - 1112 = -0*a. Calculate the remainder when a is divided by 47. 45 Suppose 14*j - 93 - 5 = 0. What is the remainder when 17 - (1 + (-7 - -3) + j) is divided by 2? 1 Let w(s) = s**2 + s + 2. Let q be w(0). What is the remainder when 30 - (-2)/(2/q) is divided by 6? 2 Let r(x) = -x**3 - 6*x**2 - 4*x + 3. Let b be r(-6). Let p = b - 12. Let i = 29 - -30. What is the remainder when i is divided by p? 14 Suppose 22 = 3*x - 20. Calculate the remainder when 1243 is divided by x. 11 Suppose -5*n + n = -56. Suppose m + 788 = 5*m. Suppose 5*q + 0*q - 193 = -k, -m = -5*q + k. Calculate the remainder when q is divided by n. 11 Suppose -31*t = -34*t + 228. Suppose -t = -j - 3*j. What is the remainder when j is divided by 10? 9 Let d = 989 - 976. Calculate the remainder when 204 is divided by d. 9 Suppose 0 = -5*h + h + 416. What is the remainder when h is divided by 41 - (342/304)/(3/16)? 34 Suppose 0 = -0*o + 5*o - 235. Let m = 19 + -9. What is the remainder when o is divided by m? 7 Suppose -5*o + 321 = -2*j + 94, -3*o + 157 = 4*j. Let f(z) = 3*z**2 - 51*z + 25. What is the remainder when o is divided by f(17)? 22 Let c = 20 + 27. Suppose -3*h - 5*i + 36 = 0, 0*h + 4*h - 19 = 3*i. What is the remainder when c is divided by h? 5 Let c = -1614 - -1634. What is the remainder when 338 is divided by c? 18 Let w(g) = -7*g + 13. Let q(y) = -y + 1. Let m(z) = 3*q(z) - w(z). Calculate the remainder when 36 is divided by m(5). 6 Suppose 8*k - 12*k - 40 = 0. What is the remainder when 208/k*45/(-18) is divided by 19? 14 Let n(s) = -16*s - 215. Calculate the remainder when 17 is divided by n(-14). 8 Suppose 6*q - 274 = 2*q - 2*w, 5*q - 325 = w. Suppose -4*z = -4*o + 3*o - 68, -3*z + 5*o + 51 = 0. Calculate the remainder when q is divided by z. 15 Let o = -9 + 15. Suppose 3*k = 4*g - 9, k + 8 = o*k + g. Let j = 7 - k. What is the remainder when 11 is divided by j? 5 Suppose -4*t + 0*t = -m + 2, -4 = m - t. Let g(b) = b**3 + 9*b**2 + 10*b + 2. Suppose -h + 7 + 6 = 0. Calculate the remainder when g(m) is divided by h. 11 Let b = 24 - 0. Suppose 3*g - 2*y = 29, 3*g - b = -5*y + 2*y. Let x = g + -4. Calculate the remainder when 7 is divided by x. 2 Calculate the remainder when 282 is divided by (28/35)/((-6)/(-15)) - -13. 12 Suppose 3*s + 42 = 5*u - 0*s, s + 16 = 2*u. Suppose c + c = u. Suppose 2*b + 9 = -0*b + c*v, 26 = 2*b + 4*v. Calculate the remainder when 8 is divided by b. 2 Let k(g) = 2046 + 3*g - 2056 - 4*g + 3*g. Calculate the remainder when 35 is divided by k(11). 11 Suppose 2*k - c = 279, -k + 0*k + 5*c = -144. Let t(d) = -28*d**3 + d + 1. Calculate the remainder when k is divided by t(-1). 27 Let w(a) = 63*a**3. Let u be w(-1). Let q be -1 + u/(-1 + 4). Let z = q - -33. Calculate the remainder when z is divided by 4. 3 Let c(s) = -s**3 - 15*s**2 - 14*s + 13. Calculate the remainder when 375 is divided by c(-14). 11 Let q(t) = 14*t**2 - 2*t - 2. Let d = -48 - -176. Suppose -7*y + d = -2*y - 2*r, -25 = -y + r. Calculate the remainder when y is divided by q(-1). 12 Let h(u) = -9*u**3 - u**2 - 7*u - 19. What is the remainder when h(-2) is divided by 23? 17 Let d = 8 - 0. Suppose 0 = -u - u - d. Let c(x) = -x + 7. Calculate the remainder when 20 is divided by c(u). 9 Suppose -33 = 26*c - 137. Calculate the remainder when 22 + 5 + 4 + -1 is divided by c. 2 Suppose 47*d = 37*d + 90. What is the remainder when d is divided by 1? 0 Let k(y) = y**3 + 6*y**2 - 113*y + 4. Suppose -5*d = -2*z - 29, d - 4 = -2*z - 3. Calculate the remainder when k(-14) is divided by ((-14)/6)/(z/6). 4 Calculate the remainder when 163 is divided by (-9)/(-3) - 6 - 25/(-1). 9 Suppose -3*u + 4*u = 2. Suppose f = -u*h - 105, -h = -3*f - 230 - 120. Let j = 163 + f. What is the remainder when j is divided by 17? 14 Suppose -d + q + 1 = 0, -q - 1 = -0*q. Suppose 5*y - 155 = -d*y. Calculate the remainder when y is divided by 16. 15 Suppose -25 = 5*m + 4*d, 11 = -4*m - 2*d - 3. Calculate the remainder when (m - -50) + (-1)/1 + -2 is divided by -32*((-2)/(-4) - 1). 14 Suppose z + 7 = 4*g - 0*g, 3*z - 12 = g. Let i be 63/(-28)*(-16)/g. Suppose 0 = r - 15 + i. Calculate the remainder when 8 is divided by r. 2 Let r(n) = -3*n + 2. Let c be r(-11). Let v = c + -25. Calculate the remainder when (-12)/(-3)*(52/16 - -4) is divided by v. 9 Let y = 86 + -11. Suppose 5*a + y = 3*a - s, 3*a + 120 = -3*s. Let m = a + 56. What is the remainder when 40 is divided by m? 19 Suppose -2*o + 108 = 3*g, 4*o = 50 - 38. Suppose 5*y = 3*s - 63, 4*s - 3*y = 106 - 22. What is the remainder when g is divided by s? 13 Suppose 7*c - 5*m = 3*c + 418, 539 = 5*c + 2*m. What is the remainder when c is divided by 18? 17 What is the remainder when 59 is divided by (-33 + 23)*6/(-4)? 14 Let u = 82 + -81. Calculate the remainder when (1/(-2) - u)/((-15)/230) is divided by 6. 5 Calculate the remainder when ((-166)/(-5))/(5/25) is divided by 14. 12 Suppose 7*o - 6*o - 22 = 0. Let m = -19 + o. Suppose m*i - 55 = 158. Calculate the remainder when i is divided by 36. 35 Let a(k) be the second derivative of -5*k**3/2 - 9*k**2/2 - 317*k. Let n = 6 - 11. Calculate the remainder when a(n) is divided by 17. 15 Suppose 0 = 4*j - j - 36. Suppose -5*h = -5*d + 380, -2*d + 66*h - 69*h = -177. What is the remainder when d is divided by j? 9 Let h(c) = -c**3 - 9*c**2 - 9*c + 1. Let d be h(-8). Suppose 0 = -2*v + d + 5. What is the remainder when 532/20 + 2/5 is divided by v? 6 Let k(x) = -11*x. Let j be k(-4). Let s = j - -89. What is the remainder when s is divided by 12/28 + (-705)/(-21)? 31 Suppose 5*y + 1600 = 4*d, 3*d - 920 = 4*y + 361. Let j = -197 - y. Calculate the remainder when j is divided by 33. 28 Calculate the remainder when 36990/390 - 2/(-13) is divided by 4. 3 Suppose -409 = -2*l + 3*t, 2*l = -5*t + 206 + 195. What is the remainder when l is divided by 54? 41 Suppose -2*j + 32*z + 398 = 33*z, 3*j - 587 = z. What is the remainder when j is divided by 8? 5 Let b = -273 - -674. What is the remainder when b is divided by 67? 66 Let j be (3 - 0)*(-1)/3*0. Suppose -i - 5 + 46 = 0. Calculate the remainder when i is divided by 7/((-2)/(-6) + j). 20 Suppose c + 5*u + 3 = 0, 4*u - 7*u = -2*c + 33. Calculate the remainder when 285 is divided by c. 9 Suppose -x - 3*x - 27 = -5*p, -3 = -5*p - 4*x. Suppose p*f - 26 = 1. Calculate the remainder when 44 is divided by (-8)/(-36) + 205/f. 21 What is the remainder when 169 is divided by 327/12 - (-13 + (-539)/(-44))? 1 What is the remainder when -3 - 1 - (76/(-1) + -1) is divided by 26? 21 Suppose 0 = 5*j + 816 - 5
{ "pile_set_name": "DM Mathematics" }
v) + v**3 - v**3 + v**3 + (2 + 2 - 3)*(-3*v**3 + 6*v**3 + 2*v**3). 8*v**3 Expand (-3*l**5 + 6*l**3 - 6*l**3)*(1 + 6 - 4) - l**5 - l**5 + l**5 - 7*l**2 + 2*l**5 + 4*l**2 + 2 + 2*l**2. -8*l**5 - l**2 + 2 Expand (15*z**4 - 69 + 69)*((-4 + 2 + 3)*(0*z + z - 3*z) - 3 - 2*z + 3 - z + 5*z - 5*z + 10*z + 3*z + 5*z). 195*z**5 Expand (-2*q**2 - 1 + 0 + 0)*(-10*q - 4 + 4) + (-1 + 1 - 2*q)*(0*q - q**2 + 0*q). 22*q**3 + 10*q Expand (33*a + 17*a + 62*a - 19*a)*(-3 + 2 - 6). -651*a Expand -u**4 - u**4 + 0*u**4 + (5*u - 14*u - 16*u)*(5*u**3 - u**3 - 6*u**3). 48*u**4 Expand (n**3 + 2*n**2 - 2*n**2)*(-225 + 587 - 139 + 543). 766*n**3 Expand 3*t**5 + 1 - 1 + (-3*t - t + 2*t)*(-t**4 - 33*t**2 + 33*t**2) - t**5 - 1 + 1 - 1 + 1 - 2*t**5. 2*t**5 Expand (-43*g**2 + 21*g**2 + 15*g**3 + 22*g**2)*(4 - 8 - 45). -735*g**3 Expand (6*y - 3*y - 5*y)*(-3 - 1 + 6)*(-56*y + 1547 - 772 - 775). 224*y**2 Expand (-j + 0*j + 2*j)*(10*j**3 - 3*j**3 + 4*j**3) + 180 - 180 + 7*j**4. 18*j**4 Expand ((-5 + 3 + 1)*(-4*v + 0*v + 0*v) + (0*v + 2*v - 4*v)*(2 - 5 + 2))*(18 - 3 - 3). 72*v Expand 0*w + 6*w - w + 2*w - 2*w - 5*w + 5*w - w - 2*w + (6 - 3 - 4)*(0 + 0 + w) + 2 - 2 - 2*w. -w Expand 102*p - 25*p**2 - 102*p - p + p + p**2 + (-3*p + 4*p - 2*p)*(0*p + 2*p + 0*p) - 4 + 4 + 3*p**2. -23*p**2 Expand (2*c**2 + 2*c - 2*c)*((c + c - 3*c)*(2 - 2*c - 2) + 3*c**2 + 0*c**2 - 2*c**2 - 15*c**2 + 9*c**2 - 7*c**2). -20*c**4 Expand (1091*z - 9*z**2 - 1088*z - 22*z**2)*(-5 - 6*z + 5). 186*z**3 - 18*z**2 Expand (0 - 3 + 13 - 1 + 4 - 1 + (4 - 3 + 1)*(0 - 4 + 2) + 2 + 3 - 4 + 2 - 5 + 5 - 5 - 1 + 5 + 1 + 4 + 4 + (-2 - 1 + 2)*(-2 - 1 + 1))*(0 + 2*x**5 + 0). 42*x**5 Expand 3*f**2 - 3*f**2 - f**3 + (-f + 6*f + f)*(f**2 + 0*f**2 + f**2) + 6*f**3 - 2*f**3 + 3*f**3. 18*f**3 Expand (s - 2*s - s)*(5*s**4 - 3*s**4 - 6*s**4)*(1 + 1 - 3). -8*s**5 Expand (3*b + 4*b - 6*b)*(-5 + 4 + 0)*(97 - 97 + 69*b). -69*b**2 Expand (24*d - 15*d + 20*d)*(3 - 1 - 4)*(-4*d + 0 + 0). 232*d**2 Expand (-y - y + y)*(46*y**3 + 18*y**3 - 8*y**3). -56*y**4 Expand (1 - 6 + 0)*(1 - c - 1) + 2*c + 0 + 0 + (-2*c + 0*c + 0*c)*(1 - 3 + 0). 11*c Expand (-2 - 2*i + 2)*(-i**2 - i**2 + 0*i**2) + ((-1 + 0 - 1)*(0 + 0 + 2*i) + 2*i + 0*i - 6*i)*(3*i**2 + 0*i**2 + 0*i**2). -20*i**3 Expand (-2 - 1 + 0)*(3*i + 0*i - 2*i)*(-5 + 4 - 2 + (-1 + 0 + 0)*(-8 + 2 - 5))*(i - 2 - 3 - 6). -24*i**2 + 264*i Expand (-125 + 775 + 184)*(-2*q**3 + 3*q**2 - 3*q**2). -1668*q**3 Expand (2 + 0 - 1 + (-1 - 1 + 0)*(-1 + 0 + 0) - 4 + 1 + 1)*(-2*i - i + 4*i)*(10*i + 54*i - 4*i). 60*i**2 Expand (0 + 0 - 2*n)*(-380 + 1146 + 523 - 157 + 1507). -5278*n Expand (15*v + 3*v**4 - 15*v)*(3 + 0 - 1) + (-v**2 - v + v)*(-5*v**2 + 2*v**2 - v**2) - v**4 - 3*v**2 + 3*v**2. 9*v**4 Expand (-578 + 317 + 345)*(-2*j**5 + 27 - 12 + 0*j**5). -168*j**5 + 1260 Expand h**3 + 2*h**3 - h**3 + (-21*h**2 + 26*h**2 + 8*h**2)*(h - 2*h - h). -24*h**3 Expand (d**3 + 4*d**3 - 2*d**3 + (3 + 0 - 2)*(-2*d**3 + 3*d**3 - 2*d**3) - 18*d**2 - 6*d**3 + 18*d**2)*(-7 + 1 - 5). 44*d**3 Expand (-r**2 - 3*r**2 + 2*r**2)*(r**2 - r**2 + 13*r**2) + 2*r**4 - 7*r**4 + 3*r**4 + 6*r**4 + 11*r - 11*r. -22*r**4 Expand (-54*b**2 - 4*b**4 + 112*b**2 - 57*b**2)*(0 + 0 + b + (-1 + 3 - 3)*(2*b - 2*b - b)). -8*b**5 + 2*b**3 Expand 0*a**5 + a**5 - 4*a**5 + (-2*a**4 - 14*a**3 + 14*a**3)*(a + 0*a + a). -7*a**5 Expand (4*r + 0*r - 3*r + (0 + 1 + 4)*(-3*r + 4*r - 3*r))*(4*r - 4*r - 6*r) + (3*r - 3*r - 2*r)*(2*r - 2*r + r). 52*r**2 Expand (-1 - 2 + 5)*(2*g + 12*g + 5*g)*(6*g - 2 - 8*g - 10). -76*g**2 - 456*g Expand -f**3 - f**3 - f**3 + f**3 + 0*f**3 + f**3 + (5*f - 5*f - 5*f**3)*(6 - 3 + 2). -26*f**3 Expand (-3*c**2 - 3*c**2 + 5*c**2)*(3*c**3 - c**3 - 12*c**3) + c**5 - 5*c**3 + 5*c**3. 11*c**5 Expand (-6753 + 6753 + 458*a)*(-3 + a + 3)*(-2 + 5 - 2). 458*a**2 Expand 4*b - b - 5*b + (3 + 1 - 3)*(-2 + 2*b + 2) + 5*b - b - 2*b + 0*b + b + 0*b + 4*b - 5*b + 3*b + 2*b + b - b - 17 + 16 + 37*b + 51*b. 95*b - 1 Expand (-4 + 6 - 1)*(-2*r + 2*r - 2*r)*(-140*r**3 + 48*r**3 + 21*r**3). 142*r**4 Expand (-3 - 3 + 5)*(2 - 10 - 2)*(26*a - 7*a + 21*a + (-3 + a + 3)*(3 - 5 + 1) + 3*a - 3*a + 2*a). 410*a Expand (8 - q - 8)*(7 - 30 + 11)*(-4 + 5 + 5 + (0 - 2 + 3)*(-5 + 1 + 6) - 1 - 4 + 3). 72*q Expand (-1 - h + 1)*(2*h**3 + 3 - 3) + (20*h + 6*h + h)*(2*h**3 + 4*h**3 - 3*h**3) - 5*h**4 + 2*h**4 + 0*h**4 + 0*h**4 + h**4 - 2*h**4. 75*h**4 Expand (3*o + 2*o - 2*o)*(0*o - 4*o + o)*(-34 + 18 + 10). 54*o**2 Expand (1106 - 1106 - 9*j)*(3*j - 2*j + 3*j). -36*j**2 Expand (6*h + 2*h - 2*h**2 - 4*h)*(-3 + 3 - 3). 6*h**2 - 12*h Expand (-339 + 106 - 292 - 302 + 73)*(5*v - 5*v - 4*v). 3016*v Expand -2*p**3 - p**3 + p**3 + (p + 4*p - 2*p)*(p**2 + 11*p**2 - 36*p**2). -74*p**3 Expand (297 + 33*j - 297)*(-j - 3*j + 6*j + (-2 + 1 + 2)*(-2*j - 2*j + 3*j)). 33*j**2 Expand (z**2 + 3*z**2 - 6*z**2)*(-36855*z - 36864*z + 8 + 73714*z + 6*z**2). -12*z**4 + 10*z**3 - 16*z**2 Expand (0*t + 2*t - 13*t)*(1 + 9 - 30). 220*t Expand -5*h**3 + 6*h**4 + 5*h**3 + (2*h**2 + 3*h**2 - 3*h**2 + 32*h - 2*h**2 - 32*h + (-2*h + 2*h + 2*h**2)*(1 + 2 - 1))*(-h**2 + 0*h**2 + 3*h**2). 14*h**4 Expand (-60398*o**2 + 60398*o**2 - 86*o**3)*(-3*o - 2*o + 3*o). 172*o**4 Expand (-2*m + 2*m - m)*(1 - 1 - m) + (3*m + 0*m - 4*m)*(78*m + 192 - 192). -77*m**2 Expand (1 + 0 + 1 + (-1 + 3 + 0)*(-4 + 3 + 2))*((3*s - s - 12*s)*(1 + 4 - 4) + 4 - 4*s - 4). -56*s Expand (o + o - 3*o)*(0 - 3 + 1) + 3 + o - 3 + (2*o + o - o)*(1 + 3 - 5) + 5*o + o - 3*o + 5*o - 2*o + o + 0*o - 3*o + 5*o - 5 + 5 - 2*o. 8*o Expand (-j + 2 - 2)*(-27 - 26 + 16) - j - 4*j + 3*j + 2*j + 2*j - 3*j. 36*j Expand (0*s**3 + 0*s**3 + 2*s**3)*(-12406 + 5890 + 5697). -1638*s**3 Expand (-a - 4 + 4)*(-160 + 16 - 270). 414*a Expand (-f**4 - 2*f**3 + 2*f**3)*(2*f + f - 6*f) + 4*f**5 - 4*f**5 - f**5 + 7 - 1 - 13*f**5 - 5. -11*f**5 + 1 Expand (3*d + 2*d**3 - 4*d + 0*d + 3*d**2)*(-2*d + 0*d - 2*d). -8*d**4 - 12*d**3 + 4*d**2 Expand (0 + 1 + 0)*(1231*j**3 + 152535*j**2 - 152535*j**2). 1231*j**3 Expand (222*b + 145 - 104*b - 115*b)*(-3 + 2 - 1). -6*b - 290 Expand (-d + d**3 + d + (3*d - 3*d - d)*(1 - 1 - 2*d**2) + 3 - 3 - 4*d**3)*(166 - 10*d - 165 - 13*d). 23*d**4 - d**3 Expand (-m + 156*m**4 + 2*m**2 + 575 - 207 - 370)*(0 - 2 + 1). -156*m**4 - 2*m**2 + m + 2 Expand (i + 2*i**2 - i)*(63 + 784 - 90). 1514*i**2 Expand (54083 - 54083 + 1248*u)*(-u**4 - u**4 + 4*u**4). 2496*u**5 Expand -341 + 503 + l**4 - 5*l**4 + (l - 1 + 1)*(l**3 - 3*l**3 + 4*l**3). -2*l**4 + 162 Expand (-6*p - 16*p - 3*p)*(4*p**3 + 4*p**2 - 4*p**2). -100*p**4 Expand (-1 + x**2 + 1)*(-3 + 3 + 1)*(49 - 17 + 41) + 0 + 2*x**2 + 0. 75*x**2 Expand (-7*u + 8*u - 4 + 9*u)*(3*u - 6*u + 2*u)*(-2*u + 3*u - 3*u). 20*u**3 - 8*u**2 Expand (19 - 8 - 7)*(-a**3 + 0*a**3 + 3*a**3). 8*a**3 Expand 237*w + 220*w - 426*w + 6 + (-5*w + 2*w + 0*w)*(0 - 2 + 0) - w - 4*w + 4*w. 36*w + 6 Expand -2*l**2 + 4 - 4 + (33*l + 50*l - 56*l)*(4*l + l - 4*l). 25*l**2 Expand (9*h - 4*h - 3*h)*(1 + 2 - 5)*(0*h**2 + h**2 - h + 4*h) - 3*h**3 + 2*h**3 + 2*h**3 - 12*h**3 - 30*h**3 - 4*h**3. -49*h**3 - 12*h**2 Expand ((-2 + 1 - 1)*(1 - 1 + 2) - 87 + 155 + 138)*(3*y - 3*y - 2*y). -404*y Expand 4*c**5 - 4*c**5 - 2*c**5 + (c + 0*c - 3*c)*(-3*c**4 + c**4 + 0*c**4) - 4*c**5 + 2*c**5 + 4*c**5 - 5*c - 490 + 4*c**5 - 5*c**5 + 477. 3*c**5 - 5*c - 13 Expand (-24 - 64 + 50 + 618)*(-4*k**3 + 4*k**3 + 3*k**3) + 0*k**3 + k**3 + k**3. 1742*k**3 Expand (4*t - t + 0*t)*(-2*t + t - t**4 + 0*t**4). -3*t**5 - 3*t**2 Expand (-2*k**2 + 4*k**2 - 3*k**2)*(-280*k**2 + 734*k**2 - 83*k**2). -371*k**4 Expand (s - s + 3*s)*(-1 + 1 + 2*s**2) + 5 - 5*s**3 - 5 + (-2*s**2 + 0*s + 0*s)*(0*s + s - 3*s). 5*s**3 Expand (22*x - 3*x - 1 - 1)*(-3 + 3 - 2)*(7 - 2 - 2) + 2*x - 2*x - 6*x. -120*x + 12 Expand (f - 7*f - 2*f)*(1 + 2 - 4)*(96 - 24 - 12). 480*f Expand (-2*w**3 + 3*w**3 - 3*w**3)*(4*w**2 + 2*w**2 - 4*w**2) + (-w - w**2 + w)*(5*w**3 + w**3 + 7*w**3) + (-6*w + 2*w - 16*w)*(0*w**4 - 3*w**4 + 4*w**4). -37*w**5 Expand 0*n**2 + 0*n**2 + 3*n**4 - 1 + 1 + 2*n**4 + (-3*n**2 - 2*n + 2*n)*(2*n - 2*n + 2*n**2) - 28 - 13*n**4 + 28. -14*n**4 Expand (3 - 2 + 1)*(10*l**2 - 26*l**2 - 13*l**2)*(-3*l**2 + 7*l**2 - 2*l**2). -116*l**4 Expand -2*u**5 + 1 + 2 + 3*u**5 + (52*u**5 - 2116*u**4 + 2116*u**4)*(0 + 3 - 2). 53*u**5 + 3 Expand (19*t**3 - 3857*t**2 + 3857*t**2)*(0*t + 3*t**2 + 0*t) - 4*t**5 + 3*
{ "pile_set_name": "DM Mathematics" }
1)*(g + 2) Find g such that 5*g**2 - 7980*g + 3184020 = 0. 798 Factor -f**3/3 - 86*f**2/3 + 89*f/3 + 58. -(f - 2)*(f + 1)*(f + 87)/3 Find c such that -135*c**3 - 260*c**2 + 20*c = 0. -2, 0, 2/27 Find x, given that -x**5/6 + x**4/6 + 2*x**3/3 - 2*x**2/3 = 0. -2, 0, 1, 2 Factor -2*i**3/11 - 14*i**2/11 - 24*i/11. -2*i*(i + 3)*(i + 4)/11 Solve -4*f**3 - 4336*f**2 + 8688*f = 0 for f. -1086, 0, 2 Factor 5*u**3/2 - 915*u**2/2 + 1815*u/2 - 905/2. 5*(u - 181)*(u - 1)**2/2 Factor -5*y**3/2 - 727*y**2/2 - 145*y. -y*(y + 145)*(5*y + 2)/2 Factor -5*w**3/3 - 220*w**2/3 + 695*w/3 - 470/3. -5*(w - 2)*(w - 1)*(w + 47)/3 Factor -q**4 - 14*q**3 - 56*q**2 - 64*q. -q*(q + 2)*(q + 4)*(q + 8) What is r in -3*r**2 - 27*r - 60 = 0? -5, -4 Let 2*c**2 - 540*c + 36450 = 0. What is c? 135 Factor 2*t**2/11 + 6744*t/11 + 5685192/11. 2*(t + 1686)**2/11 Suppose -16*b**4 + 4908*b**3 - 378216*b**2 + 280908*b = 0. Calculate b. 0, 3/4, 153 Factor 4*d**4 - 176*d**3 + 164*d**2 + 344*d. 4*d*(d - 43)*(d - 2)*(d + 1) Determine t so that -t**2/3 + 7*t + 46/3 = 0. -2, 23 Factor -o**2/9 + 114*o - 29241. -(o - 513)**2/9 Solve u**2 + 106*u - 1416 = 0. -118, 12 Determine h so that 18*h**5/7 - 15*h**4 + 54*h**3/7 + 120*h**2/7 - 72*h/7 - 15/7 = 0. -1, -1/6, 1, 5 Factor -36*s**3 + 80*s**2 + 92*s - 24. -4*(s - 3)*(s + 1)*(9*s - 2) Factor j**2 + 3*j. j*(j + 3) Factor 2*z**4/11 + 384*z**3/11. 2*z**3*(z + 192)/11 Factor 3*z**3 + 24*z**2. 3*z**2*(z + 8) Let -w**3/5 - 13*w**2/5 + 109*w/5 - 19 = 0. What is w? -19, 1, 5 Solve -b**3/3 - 8*b**2 + 39*b + 140/3 = 0 for b. -28, -1, 5 Find c such that 3*c**4/2 - 6*c**3 - 63*c**2 - 54*c + 243/2 = 0. -3, 1, 9 Factor m**5/2 - 3*m**3/2 - m**2. m**2*(m - 2)*(m + 1)**2/2 Let -c**3 + 13*c**2 - 56*c + 80 = 0. Calculate c. 4, 5 Suppose -j**3/7 - 2*j**2/7 + j/7 + 2/7 = 0. What is j? -2, -1, 1 Factor 3*g**3 - 51*g**2 + 93*g - 45. 3*(g - 15)*(g - 1)**2 Determine d so that 2*d**3/13 - 16*d**2/13 - 8*d/13 + 64/13 = 0. -2, 2, 8 Factor 4*i**3 + 16*i**2 + 20*i + 8. 4*(i + 1)**2*(i + 2) Factor -4*n**3/9 + 28*n**2/3 - 56*n/9 - 160/3. -4*(n - 20)*(n - 3)*(n + 2)/9 Factor -4*r**3/3 + 188*r**2/3 + 392*r/3. -4*r*(r - 49)*(r + 2)/3 Factor 5*m**3 - 880*m**2 + 38720*m. 5*m*(m - 88)**2 Factor -4*m**2 - 1396*m + 1400. -4*(m - 1)*(m + 350) Solve -2*n**5/5 - 6*n**4/5 - 4*n**3/5 + 4*n**2/5 + 6*n/5 + 2/5 = 0. -1, 1 Solve -2*p**2/5 + 2304*p - 3317760 = 0 for p. 2880 Factor -5*y**2 - 270*y + 3200. -5*(y - 10)*(y + 64) Find r such that 280*r**5/9 - 138*r**4 + 1312*r**3/9 - 98*r**2/3 - 80*r/9 + 8/3 = 0. -1/4, 2/7, 2/5, 1, 3 Find h such that h**3/4 + h**2/4 = 0. -1, 0 Suppose -5*w**3 - 35*w**2 - 70*w - 40 = 0. What is w? -4, -2, -1 Factor -2*x**2/5 - 786*x/5 - 776. -2*(x + 5)*(x + 388)/5 Suppose 5*x**2 - 2830*x - 5680 = 0. Calculate x. -2, 568 Factor 162*g**2 - 47376*g + 3463712. 2*(9*g - 1316)**2 Suppose -12*t**5 - 1030*t**4 + 3386*t**3 + 322*t**2 - 3014*t + 1068 = 0. Calculate t. -89, -1, 1/2, 2/3, 3 Factor -3*i**3/2 - 5*i**2 - 2*i + 4. -(i + 2)**2*(3*i - 2)/2 Factor 2*k**2 - 132*k - 134. 2*(k - 67)*(k + 1) Find r such that r**4/7 - 32*r**3/7 = 0. 0, 32 Find f such that -2*f**4 - 62*f**3 - 520*f**2 - 1696*f - 1920 = 0. -20, -4, -3 Factor 3*f**2 + 12147*f - 12150. 3*(f - 1)*(f + 4050) Factor -u**5/3 + 2*u**4 - 3*u**3. -u**3*(u - 3)**2/3 Factor u**2/3 - 295*u/3 + 98. (u - 294)*(u - 1)/3 Factor 4*x**3 + 284*x**2 - 1188*x + 900. 4*(x - 3)*(x - 1)*(x + 75) Factor -x**3/6 + 33*x**2/2 - 97*x/3. -x*(x - 97)*(x - 2)/6 Factor 4*k**4 - 64*k**3 + 248*k**2 - 320*k + 132. 4*(k - 11)*(k - 3)*(k - 1)**2 Factor 4*f**2 + 240*f + 464. 4*(f + 2)*(f + 58) What is v in -2*v**5 + 524*v**4 - 45932*v**3 + 1361376*v**2 - 1226178*v - 2634012 = 0? -1, 2, 87 Suppose -b**4 - 4*b**3/3 + 5*b**2/3 + 2*b/3 = 0. Calculate b. -2, -1/3, 0, 1 Solve 2*j**2/9 + 6*j - 56/9 = 0 for j. -28, 1 Let -197192*v**2/5 + 1256*v - 10 = 0. Calculate v. 5/314 Factor -2*v**3 - 46*v**2 - 224*v. -2*v*(v + 7)*(v + 16) Factor -2*c**2/15 + 436*c/15 - 832/3. -2*(c - 208)*(c - 10)/15 Find k, given that -3*k**4/2 - 57*k**3/2 - 99*k**2/2 + 57*k/2 + 51 = 0. -17, -2, -1, 1 Factor -2*o**2/17 + 160*o/17 + 328/17. -2*(o - 82)*(o + 2)/17 Factor -3*c**3/4 - 525*c**2/4. -3*c**2*(c + 175)/4 Suppose o**5 + 203*o**4/4 + 2217*o**3/4 - 9315*o**2/4 + 2187*o/4 = 0. Calculate o. -27, 0, 1/4, 3 Solve x**2 - 29*x + 28 = 0 for x. 1, 28 Factor 4*x**5 - 48*x**4 + 164*x**3 - 168*x**2. 4*x**2*(x - 7)*(x - 3)*(x - 2) What is d in -6*d**3/11 + 46*d**2/11 + 52*d/11 = 0? -1, 0, 26/3 Suppose 28*t**2/3 + 16*t - 16/3 = 0. Calculate t. -2, 2/7 Suppose -3*y**2 + 141*y - 396 = 0. Calculate y. 3, 44 Factor 3*g**4/2 - 21*g**3. 3*g**3*(g - 14)/2 Determine g so that -3*g**3 - 159*g**2 - 150*g + 312 = 0. -52, -2, 1 Factor x**3/9 + 7*x**2/9 + 4*x/9 - 4/3. (x - 1)*(x + 2)*(x + 6)/9 Let 3*p**5/5 + 276*p**4/5 + 6339*p**3/5 - 822*p**2/5 - 18492*p/5 + 12696/5 = 0. What is p? -46, -2, 1 Solve 196*a**2 + 400*a + 16 = 0. -2, -2/49 Factor 48*h**2 + h. h*(48*h + 1) Let 2*y**4/11 - 188*y**3/11 + 400*y**2 + 1692*y/11 - 39762/11 = 0. What is y? -3, 3, 47 Find s, given that 2*s**2 - 8144*s + 8290592 = 0. 2036 Suppose 16*f**5 - 20*f**4 - 284*f**3 + 328*f**2 + 448*f - 128 = 0. Calculate f. -4, -1, 1/4, 2, 4 Solve -5*s**3 - 105*s**2 + 765*s - 1215 = 0 for s. -27, 3 Suppose -35000*s**4 + 136900*s**3 + 12576*s**2 - 688*s - 64 = 0. Calculate s. -2/25, 1/14, 4 Factor -5*d**4 - 2*d**3 + 15*d**2 - 4*d - 4. -(d - 1)**2*(d + 2)*(5*d + 2) Determine x, given that -3*x**5 + 2001*x**4/4 - 1443*x**3/4 - 4251*x**2/2 + 1491*x + 498 = 0. -2, -1/4, 1, 2, 166 Solve 2*z**5 - 78*z**4 - 344*z**3 = 0 for z. -4, 0, 43 Factor 2*j**2/5 - 372*j/5 + 736/5. 2*(j - 184)*(j - 2)/5 Factor -y**3/5 - 3*y**2/5 + 9*y/5 + 27/5. -(y - 3)*(y + 3)**2/5 Factor 140*l**3 - 95*l**2 - 65*l + 20. 5*(l - 1)*(4*l - 1)*(7*l + 4) Determine s so that 2*s**3 - 96*s**2 - 2*s + 96 = 0. -1, 1, 48 Find p, given that -5*p**5/3 + 14*p**4 - 131*p**3/3 + 62*p**2 - 116*p/3 + 8 = 0. 2/5, 1, 2, 3 Factor g**4/6 + 172*g**3/3 + 15299*g**2/3 + 29068*g + 85683/2. (g + 3)**2*(g + 169)**2/6 Factor -n**5 - 52*n**4 - 918*n**3 - 5780*n**2 - 4913*n. -n*(n + 1)*(n + 17)**3 Determine u so that u**3/7 - 116*u**2/7 + 3477*u/7 - 6498/7 = 0. 2, 57 Factor 4*z**3 - 204*z**2 - 864*z - 880. 4*(z - 55)*(z + 2)**2 Factor 4*v**2 - 180*v - 9856. 4*(v - 77)*(v + 32) Determine a, given that -75*a**5 + 960*a**4 - 4032*a**3 + 6384*a**2 - 3408*a + 576 = 0. 2/5, 2, 4, 6 Determine u so that 5*u**4 + 100*u**3 + 260*u**2 - 2400*u + 2880 = 0. -12, 2 What is g in -4*g**4 + 164*g**3 - 156*g**2 - 164*g + 160 = 0? -1, 1, 40 Factor 3*u**2/2 + 26091*u + 226913427/2. 3*(u + 8697)**2/2 Factor 2*x**3 - 1818*x**2 + 408558*x + 2088490. 2*(x - 457)**2*(x + 5) Let -9*q**4/10 + 11*q**3/10 + 17*q**2/5 - 22*q/5 + 4/5 = 0. What is q? -2, 2/9, 1, 2 Find c, given that c**2 - 118*c - 240 = 0. -2, 120 Suppose -3*c**3/7 + 237*c**2/7 - 216*c = 0. What is c? 0, 7, 72 Factor 121*g**3 + 1628*g**2 + 6741*g + 7938. (g + 2)*(11*g + 63)**2 Factor -i**2/5 + 72*i - 1071/5. -(i - 357)*(i - 3)/5 Factor -5*z**2 + 2260*z + 4540. -5*(z - 454)*(z + 2) Factor -l**5 + 3*l**4 + 2*l**3 - 12*l**2 + 8*l. -l*(l - 2)**2*(l - 1)*(l + 2) Let -d**3/4 + 31*d**2/2 = 0. Calculate d. 0, 62 Solve -5*h**3 + 45*h**2 + 450*h = 0. -6, 0, 15 Factor 2*p**4/7 + 288*p**3/7 + 240*p**2 + 3328*p/7 + 2208/7. 2*(p + 2)**3*(p + 138)/7 Find a such that -3*a**2/2 + 171*a/2 - 243 = 0. 3, 54 Determine g so that g**5 + 64*g**4 + 124*g**3 - 2*g**2 - 125*g - 62 = 0. -62, -1, 1 Suppose -2*u**3 + 28*u**2 - 130*u + 200 = 0. Calculate u. 4, 5 Solve -6*x**5/7 + 16*x**4/7 - 2*x**3/7 - 16*x**2/7 + 8*x/7 = 0 for x. -1, 0, 2/3, 1, 2 Let -4*m**5 - 28*m**4 + 64*m**3 + 352*m**2 - 960*m + 576 = 0. Calculate m. -6, 1, 2 Factor 3*k**4 - 57*k**3 + 234*k**2 + 420*k - 600. 3*(k - 10)**2*(k - 1)*(k + 2) Suppose z**5 - 10*z**4 + 31*z**3 - 26*z**2 - 28*z + 40 = 0. Calculate z. -1, 2, 5 Factor 4*g**3 - 9*g**2 + 6*g - 1. (g - 1)**2*(4*g - 1) Factor -4*c**2 - 348*c + 1840. -4*(c - 5)*(c + 92) What is c in -23*c**2/9 + 409*c/9 + 10 = 0? -5/23, 18 Factor n**4/3 - 7*n**3 + 20*n**2/3. n**2*(n - 20)*(n - 1)/3 Let -2*f**2/7 - 138*f/7 + 284/7 = 0. Calculate f. -71, 2 Find y such that -y**2/4 + 2*y - 15/4 = 0. 3, 5 Factor 1146098*o**2/3 + 6056*o/3 + 8/3. 2*(757*o + 2)**2/3 Factor -2*h**2/7 - 562*h/7 + 1
{ "pile_set_name": "DM Mathematics" }
nearest integer? 58901 What is the square root of 809865406 to the nearest integer? 28458 What is the eighth root of 680422617 to the nearest integer? 13 What is 727718345 to the power of 1/9, to the nearest integer? 10 What is the third root of 464381285 to the nearest integer? 774 What is 305498140 to the power of 1/3, to the nearest integer? 673 What is 74503793 to the power of 1/10, to the nearest integer? 6 What is the square root of 43777998 to the nearest integer? 6616 What is the eighth root of 527790310 to the nearest integer? 12 What is the fifth root of 1298026241 to the nearest integer? 66 What is the square root of 26225354 to the nearest integer? 5121 What is the seventh root of 1589130891 to the nearest integer? 21 What is the third root of 1874189674 to the nearest integer? 1233 What is the sixth root of 597188852 to the nearest integer? 29 What is the square root of 91795680 to the nearest integer? 9581 What is 970710991 to the power of 1/4, to the nearest integer? 177 What is the cube root of 39463697 to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
ppose 0 = -a + 1 + 4. Suppose -t = 4*t - 20. Let w(d) = -2838*d + 14190. Let q be w(5). Solve -v + t - a = q for v. -1 Let n = -5149 - -5399. Solve 6*u - 214 + n = 0 for u. -6 Let r(k) = -1 - 11*k**2 + 11*k**2 + 2*k**2 - 8*k. Let z be r(4). Let f be (z - (-12)/8) + 3/(-6). Solve g + 3*g = f for g. 0 Suppose -18*j - 2*j - j = 0. Suppose 3*t = -0*t + 2*d + 8, t - 3*d - 5 = j. Solve -2*f = -3*f + t for f. 2 Let c = 65 + -71. Let b be (-884)/10 + c/10. Let x = b + 92. Solve t - x = -0*t for t. 3 Let v(a) = 17*a**2 - 63*a + 64. Let i be v(1). Solve i*k + 6 = 19*k for k. 6 Suppose -5*m + 15 = -2*m. Suppose p + 2 = m. Solve 19 = -p*y + 7 for y. -4 Let p = -102 + 105. Suppose 0 = 7*o - p - 32. Solve -3 - o = -4*y for y. 2 Let g(f) = -30*f - 2158. Let r be g(-72). Solve -r*q = -25*q - 92 for q. -4 Suppose 32*d = 23*d + 198. Let b be 96/21 + 1 + d/(-14). Solve -4*s + 16 - b = 0 for s. 3 Let t(u) = 7*u**2 - 16*u - 58. Let x be t(-2). Solve -165 = 57*g - x*g for g. -3 Suppose -5*r = -3*x - 691, 5*x + 3*r + 677 + 418 = 0. Let j = 228 + x. Solve -11*b = -j*b + 25 for b. -5 Suppose -s = -3*z - 2*z - 9, 0 = -4*z - 8. Let r be (s - 2)*11/(-33). Solve -2*n + r = 5 for n. -2 Let a(y) = -y**2 + 15*y - 55. Let v(h) = h**2 - 15*h + 56. Let c(b) = 3*a(b) + 2*v(b). Let s be c(8). Solve -2*x - 5 = -s*x for x. 5 Suppose -159*l = -132*l - 15120. Let f = 560 - l. Solve 0 = 4*b - f*b + 3*b for b. 0 Let j(w) = w**3 - 3*w**2 - w - 8. Let i = 720 - 716. Let v be j(i). Solve -v*k + 2 = -5*k for k. -2 Let f be 83 + (-13 - (-25)/5) + 3. Let j = 87 - f. Solve o + j = -8*o for o. -1 Let p(u) = -7*u - 2. Suppose 5*n - 5 = -2*h, 5*h - 27 - 1 = 3*n. Let g be p(n). Let x be (-4*(-3)/8)/(9/12). Solve g*w + 9 = x*w for w. -3 Suppose 0 = 8*v - 1517 - 171. Let i = -208 + v. Solve -i*d = -8*d for d. 0 Suppose 4*m - 21 = j, -4*m + 4*j - 2 + 26 = 0. Suppose 7*d = -m + 19. Solve 6*x = d*x for x. 0 Let c = -27 + 33. Suppose -j + 2*u = -c*j + 32, -5*j + 3*u = -52. Solve -7*o - j = 27 for o. -5 Let x = -82 + 114. Suppose -x = -7*o + 3*o. Suppose 5 = 2*p + 4*k - 3, 0 = 2*k - 2. Solve -p*y = 2*y - o for y. 2 Let a(v) = 5*v + 6*v**2 + 20779 - 20775 + v**3 + 3*v. Suppose 24 = -4*g + 8. Let r be a(g). Solve 14 = -2*p + r for p. -5 Let h be -6 - 87*((-16)/(-80))/((-6)/10). Solve -10*q = -h*q for q. 0 Let r(w) be the first derivative of -w**4/4 - w**3 + 11*w**2 + 24*w + 68. Let q be r(-6). Solve q = 8*z - 7*z for z. 0 Let g(k) = 15*k**3 - k**2 + 3*k - 1. Let s be g(1). Suppose -171 = -s*t + 7*t. Let v = t - 17. Solve n - 6 = -v*n for n. 2 Suppose -50 = -12*q - 2. Suppose -q*t + 15*m = 13*m - 38, -3*t + 29 = -2*m. Solve 0 = -t*f + 4*f + 15 for f. 3 Let j be (78/8 + -2)/(6/(-24)). Let l be ((-1085)/42)/j - (-1)/6. Solve -2*n - l + 3 = 0 for n. 1 Let r be ((-89)/(-534))/((-2)/8)*-3*1. Suppose 0 = -2*k + 6*k - z, 3*k - 2*z = 0. Solve 0*v - r*v - 8 = k for v. -4 Let l be -1*((-6 - -10) + -29). Suppose s = -a + 5, 2*a - 5*s = -3*a - l. Solve -t + 6 - 5 = a for t. 1 Let j be (1 - 1 - -4) + -2. Let d be (-4 + 266/77)*-11. Suppose -d*f + 22 = -8. Solve -3*s - j + f = 0 for s. 1 Suppose 19*q - 18*q - s = 202, -3*q + 5*s = -592. Solve 45 = 218*h - q*h for h. 5 Let g be 19 - 1/(-2)*-2. Let y be (-39 + 33)*(-3)/(12/(-10)). Let f = g + y. Solve f = -z - 1 for z. -4 Suppose 8*j = 20 - 4. Suppose -3*y = 4*y - 14. Suppose -2*i = -i, 3*f = y*i. Solve z + j*z - 6 = f for z. 2 Let s(x) = x**3 + 4*x**2 - 7*x - 5. Let l be s(-5). Suppose 0 = -10*m + 4 + 6. Suppose -3*o = -l - m. Solve 5*g - o*g - 15 = 0 for g. 5 Let d(q) = q**3 + 8*q**2 - 3*q - 21. Let s be d(-8). Suppose s*y = 9*y. Solve 8*a - 3*a + 25 = y for a. -5 Let q = 516 + -359. Suppose -2*s = -q + 139. Solve 11 = 5*y - s for y. 4 Let x be -2 - ((2 - 2) + -13). Suppose -4*p = 5*o + 9 - 31, x = 4*o + p. Let v = 492 - 491. Solve -3*t + o = -v for t. 1 Let p be (3/2*-18)/1. Let s(r) = r + 30. Let d be s(p). Solve 4*m - 23 = -d for m. 5 Let x = -44 - -5. Let g be (-12 - -10)*x + 1 + -5. Solve -5*c - 59 = -g for c. 3 Let d be 718/38 + (-110)/(-1045). Solve -13 = d*j - 6*j for j. -1 Let p be 48/264 + 3/(33/2891). Let o = 267 - p. Solve o*y + 16 = -4 for y. -5 Let y(g) = 29*g - 461. Let m be y(16). Let l(n) = n**2 + 3*n - 2. Let t be l(-3). Let j be t/4 - 1/(-2). Solve j - m = -3*b for b. 1 Let v(k) = -33*k - 6. Let f be v(-3). Let h = 94 - f. Solve -h = -3*z - 7 for z. -2 Let l(x) be the first derivative of 5*x**2 - 29*x - 53. Let h be l(3). Solve h = -w - 3 for w. -4 Suppose 3*u - 3*x = 12, -3*u + u - 3*x = 2. Let k be (-12)/(-3) + -5 + u + 2. Suppose -3*w - 4*h = -32, -2*w + 7*w - 92 = k*h. Solve 0 = 4*b - w for b. 4 Suppose 13*g = -3*g. Let k be 2 - 1 - (-4)/2. Suppose 4*f + 28 - 12 = -t, 5*t - 35 = k*f. Solve g = -0*r - t*r - 12 for r. -3 Suppose 0 = 17*t - 8*t - 6*t. Solve -8*l + 14 - 38 = t for l. -3 Let i be ((-12)/(-9))/(15/((-13230)/(-24))). Solve -i*c - 164 = 81 for c. -5 Suppose -112*w + 200*w + 94340 = 194*w. Solve -24*t = -w + 698 for t. 8 Suppose 54 = -82*q + 88*q. Suppose -44 = -2*a + 4*v, -11 = -a + v + q. Solve 29*s = 35*s + a for s. -3 Suppose 3*a - 320 = 394. Suppose -a = 4*c - 250. Solve -c*i = -9*i for i. 0 Suppose 0 = -87*l + 83*l + 5*h + 150, -3*l + 153 = 3*h. Solve -53 - 37 = l*n for n. -2 Let c be (35/15)/((-5)/(-30)). Solve -33*q + c = -40*q for q. -2 Let v = -1186 - -1772. Solve -592*z + v*z = 48 for z. -8 Suppose 2*j + 5*t = t - 6, 9 = 5*j + 4*t. Suppose -v = -2*v - 2*f + 10, -f = -3*v - j. Let h(p) = -p. Let r be h(-4). Solve v = -r*y - y for y. 0 Let p be (24/(-15) - -2) + (-548)/(-5). Let y = 113 - p. Solve -15 = 2*c + y*c for c. -3 Let y(a) = -a**3 + 12*a**2 - a + 17. Let w be y(12). Suppose -w*o + 9 = f, 17 - 2 = 4*f - o. Solve -f*u - 15 - 5 = 0 for u. -5 Suppose 2*b + 7*b = 90. Suppose 5*l - b*l = -15. Suppose 4*t + 4 = 3*x, 4*t = -x + l*x. Solve 0 = x*z - 20 + 4 for z. 4 Let y be (25 - 5)/4 + -5. Suppose -3*f - 3*w - 6 = -6*f, y = 5*f - 3*w - 10. Solve f*r + 17 - 23 = 0 for r. 3 Suppose -540*g = -547*g + 63. Solve -14 = -g*z - 5*z for z. 1 Let a be (-320)/2240 - 1080/(-14). Solve r - a = -81 for r. -4 Suppose 11*r - 12*r + 7689 = 2*t, 5*r - 19220 = -5*t. Solve 3809 - t = -6*a for a. 6 Let z = -7 - -10. Suppose -3*k + 6 = -3*p, p - 18 = -z*k - 2*p. Let w(h) = -12*h + 1188. Let l be w(99). Solve l = -0*i - k*i + 16 for i. 4 Let l(o) = -o**3 + 2*o**2 + 21*o - 22. Let y be l(9). Let n = -398 - y. Solve 4 = t + n for t. 2 Let f be (21/(-315)*-6)/((-2)/(-480)). Solve -f*y = -94*y for y. 0 Suppose 0 = 4*v + 3*m + 2, 0 = 4*v - 0*m - 4*m + 16. Let c be 4*(0 - -1) - 2/v. Suppose -c*t = t - t. Solve 0 = 4*x - t - 16 for x. 4 Suppose -240*c - 219 = -267*c + 132. Solve 22 = 9*r + c*r for r. 1 Let k = -88 + 88. Let c be 2 - 4 - (4 - 6). Suppose -8*y = -4*y + 2*f - 92, 5*y - 3*f - 93 = c. Solve k = 4*h - y + 1 for h. 5 Let o(b) = 55*b - 581. Let m be o(11). Solve -72*k + 80*k + m = 0 for k. -3 Suppose 0 = -15*n + 155 + 100. Suppose 4*x + 8 - n = 3*q, -2*x = -5*q - 15. Solve x = -3*u + 15 - 3 for u. 4 Suppose -4*n = -3*n - 32. Let s = -12 + n. Suppose -4*z + s + 12 = 0. Solve 4*g = z*g + 4 for g. -1 Suppose 0 = -3*r - 0*r + 48. Let v = 1005 - 1001. Solve -8*t = -v*t - r for t. 4 Suppose 2*c - 2*h - 32 = 0, 1621*h + 35 = 2*c + 1616*h. Solve -c*s - 19 = 11 for s. -2 Suppose 0 = 5*i - 3*u - 1400 - 971, 5*i - 2355 = -5*u. Suppose -1602 - i = -25*p. Solve p = -3*m + 98 for m. 5 Let l be (-1)/((-32)/160*10/26). Solve 0 = l*s + 8*s for s. 0 Suppose -5*w - 6*a + 169 = 0, 5*w + 7*a - 4*a = 187. Solve -35*h + 36 = -w*h for h. -6 Let k = 90 - 88. Suppose -2*l = -3*l. Let g = l - -1. Solve k*o + g = -5 for o. -3 Let c = 111 - 37. Suppose 0 = 2*b + 118 + c. Let p be 1/8 - 660/b. Solve -2*v = -1 - p for v. 4 Let g = 216 + -221. Let h = g + 5. Solve h = 10*k - 7*k + 15 for k. -5 Suppose -26*x - 39*x - 4573 = -26413. Solve -17*h - 268 = -x for h. 4 Suppose 4 = 5*f - 1. Suppose -8*u - 2*q - 517 = -11*u, u + 4*q - 177 = 0. Let h = u + -170. Solve 0 = h*k + f - 4 for k. 1 Let o(k) be the third derivative of -k**6/60 - 11*k**5/15 + k**3/6 - 38*k**2. Let f be o(-22). Solve t = 1 - f for t. 0 Let f be 3/6*-155*26/(-5). Let v = 423 - f. Solve 13*q - v = 17*q for q. -5 Suppose -11*o + 3*g + 175 = 0, -158 - 2 = -5*o - 4*g. Let i = 0 + 0. Suppose 5*p + 29 = n + n, 4*n - p
{ "pile_set_name": "DM Mathematics" }
n ascending order. -23, -0.3, -0.0674, 2, 4 Sort 2, -162, -98 in increasing order. -162, -98, 2 Sort -51360, -4, -3, 1. -51360, -4, -3, 1 Sort 5, 0.2, 2/693, -2/7. -2/7, 2/693, 0.2, 5 Put -0.086, 0, -1, 5, 2 in descending order. 5, 2, 0, -0.086, -1 Sort -66, 4, -5, -4, -2 in ascending order. -66, -5, -4, -2, 4 Sort -2, -1/4, -402. -402, -2, -1/4 Sort -0.2, -0.1109, 0, -2/3 in descending order. 0, -0.1109, -0.2, -2/3 Put 1, -25, 3, -41, -6, -5 in increasing order. -41, -25, -6, -5, 1, 3 Put 302, 9, 0, -2 in descending order. 302, 9, 0, -2 Sort -2/9, 0.4, -1, 67, 0.15 in descending order. 67, 0.4, 0.15, -2/9, -1 Put -2/17, 0.52, -0.59, 2/3, -3 in decreasing order. 2/3, 0.52, -2/17, -0.59, -3 Put -6, 7, -391 in ascending order. -391, -6, 7 Sort -0.17, 6, -0.1 in increasing order. -0.17, -0.1, 6 Put 5, 1462, 4 in ascending order. 4, 5, 1462 Sort -10, 1, -2, -4, -5 in descending order. 1, -2, -4, -5, -10 Sort -17/4, -1.44, -0.4, -3 in decreasing order. -0.4, -1.44, -3, -17/4 Sort -3, 5, 19, -13, -7 in descending order. 19, 5, -3, -7, -13 Sort -6404, 6, 5. -6404, 5, 6 Put -16, 134, -5 in increasing order. -16, -5, 134 Sort 2, -5, 288020, 1 in decreasing order. 288020, 2, 1, -5 Put 58, -2248, -2 in decreasing order. 58, -2, -2248 Sort -1/3, -28/9, 2, 38408 in increasing order. -28/9, -1/3, 2, 38408 Put 6, 5, -405, -1.7 in decreasing order. 6, 5, -1.7, -405 Sort 0, 61/18, -3, 5, 2, -2. -3, -2, 0, 2, 61/18, 5 Put -2, -658, -15, 19 in ascending order. -658, -15, -2, 19 Put -1/12, 0.3, -0.06, -7 in ascending order. -7, -1/12, -0.06, 0.3 Put 2/13, 26/7, -347 in descending order. 26/7, 2/13, -347 Sort -84, -60, -1 in descending order. -1, -60, -84 Put -0.5, 10.64, 0.3, 1/16 in ascending order. -0.5, 1/16, 0.3, 10.64 Sort 2/3, -1, 0.3, 5, 26 in descending order. 26, 5, 2/3, 0.3, -1 Sort -13, -0.01, -1/4, -1.093, 1/7. -13, -1.093, -1/4, -0.01, 1/7 Put -6784/3, 5, -5 in ascending order. -6784/3, -5, 5 Put 0.043, 9, -0.5, -2, -3.1 in increasing order. -3.1, -2, -0.5, 0.043, 9 Put -0.4, -2/9, 4727, -3/8, 1/3 in increasing order. -0.4, -3/8, -2/9, 1/3, 4727 Sort -2/13, -66.95, -9/5 in ascending order. -66.95, -9/5, -2/13 Put -5442, 1, 4 in descending order. 4, 1, -5442 Sort -0.4, 4, 393133/4, 1. -0.4, 1, 4, 393133/4 Sort 25.9, -2/3, 981 in descending order. 981, 25.9, -2/3 Put 2/5, -6, -6/19, 3, 2/15 in increasing order. -6, -6/19, 2/15, 2/5, 3 Sort -4, -18489, -1, -2. -18489, -4, -2, -1 Put -398, -1/2, 5, 1/6 in decreasing order. 5, 1/6, -1/2, -398 Sort 2, -62, 145, -3 in decreasing order. 145, 2, -3, -62 Put -39, 91, -0.04 in ascending order. -39, -0.04, 91 Sort 4, -1, -530, -15. -530, -15, -1, 4 Sort -46, -40, 16. -46, -40, 16 Sort 182, -236, -23 in ascending order. -236, -23, 182 Sort 1/6, 1/3, -1880, -4 in decreasing order. 1/3, 1/6, -4, -1880 Sort -4, -3, -11, -384 in ascending order. -384, -11, -4, -3 Put 0, 9, -4, 273, 10 in decreasing order. 273, 10, 9, 0, -4 Sort -2/571, -2, -3, 0.54. -3, -2, -2/571, 0.54 Sort -3, 220717, 2. -3, 2, 220717 Put 4, -2, 2, 360, 0 in descending order. 360, 4, 2, 0, -2 Sort 4515, 0, 1, 5, -114. -114, 0, 1, 5, 4515 Put 75/8, -88, -1, -0.1 in descending order. 75/8, -0.1, -1, -88 Sort 0, -188, -2 in decreasing order. 0, -2, -188 Sort 347, 49, -0.1 in decreasing order. 347, 49, -0.1 Sort -76, -283, -12 in decreasing order. -12, -76, -283 Put 531, 5, 2, 4, -2 in descending order. 531, 5, 4, 2, -2 Sort 81/10, 3, 1/12, 5 in descending order. 81/10, 5, 3, 1/12 Sort 348281, 5, -4. -4, 5, 348281 Put -2, 0.04, -482, 1 in ascending order. -482, -2, 0.04, 1 Put -3, 1/12, -1107/10, 3 in decreasing order. 3, 1/12, -3, -1107/10 Sort 1351, 7/3, -1 in ascending order. -1, 7/3, 1351 Sort -1, -2, -6.738, 3/4, 2, -4/3 in descending order. 2, 3/4, -1, -4/3, -2, -6.738 Put 96, 2, -2, 4, -4 in descending order. 96, 4, 2, -2, -4 Sort -6, 2, 3, -12, 11 in increasing order. -12, -6, 2, 3, 11 Put -1/4, 3, 16.94 in descending order. 16.94, 3, -1/4 Sort -9, 0, -3, -132 in descending order. 0, -3, -9, -132 Put -16, 0.2, 38, 1/23 in descending order. 38, 0.2, 1/23, -16 Sort -2/7, 45, -5, -0.5. -5, -0.5, -2/7, 45 Put 335, 3, 9, 2, -5 in decreasing order. 335, 9, 3, 2, -5 Sort 0, -3, -22, -4, 6, 58. -22, -4, -3, 0, 6, 58 Put -0.05, 4.6, 500, 1/2 in decreasing order. 500, 4.6, 1/2, -0.05 Sort -0.0534, -8, 9 in decreasing order. 9, -0.0534, -8 Put 1/2, -4, -2/21, -0.016, -0.7 in decreasing order. 1/2, -0.016, -2/21, -0.7, -4 Put -2, 4, -10, 86, 0, -3 in ascending order. -10, -3, -2, 0, 4, 86 Sort 1/5, -0.2, 5/8 in descending order. 5/8, 1/5, -0.2 Put 2, 1.2, 21, -1, -2 in increasing order. -2, -1, 1.2, 2, 21 Put -2, -255402, 1 in decreasing order. 1, -2, -255402 Sort 48, 2/5, -33, 0.11 in increasing order. -33, 0.11, 2/5, 48 Sort 3396, -1, 12 in ascending order. -1, 12, 3396 Sort 72, 75, -2, 7, 4. -2, 4, 7, 72, 75 Sort -3, 1, 230, 3, 4 in descending order. 230, 4, 3, 1, -3 Sort 0, 2, -0.09, 536 in descending order. 536, 2, 0, -0.09 Sort 53, -15, -47, 4 in descending order. 53, 4, -15, -47 Sort -8, 180, 1. -8, 1, 180 Sort -3676, -0.063, 0 in descending order. 0, -0.063, -3676 Sort 2, -87, -3.69 in ascending order. -87, -3.69, 2 Sort 194, -0.2, 7. -0.2, 7, 194 Put -148, -5, 3, 123, 4 in decreasing order. 123, 4, 3, -5, -148 Sort -0.1, -29705, -0.4, 0 in ascending order. -29705, -0.4, -0.1, 0 Put -204, -1, -12, -5, 0 in decreasing order. 0, -1, -5, -12, -204 Sort 16, 97, -5, 1 in decreasing order. 97, 16, 1, -5 Sort -38, 0, 1, -2, -383 in decreasing order. 1, 0, -2, -38, -383 Put -6, 5, -9/32, -2/117 in increasing order. -6, -9/32, -2/117, 5 Sort -3, 2004, 23, 1. -3, 1, 23, 2004 Put 1, 2080, -28 in descending order. 2080, 1, -28 Sort -4, 16, -14, 5, -74. -74, -14, -4, 5, 16 Put -5, 4, 78, -4, 1, 5 in ascending order. -5, -4, 1, 4, 5, 78 Sort -0.1, -2, 24.498. -2, -0.1, 24.498 Put 16, -10, -81 in ascending order. -81, -10, 16 Sort -8, -13, 3, -2, 4/13, 0.2. -13, -8, -2, 0.2, 4/13, 3 Put 152, -1, -30 in increasing order. -30, -1, 152 Put -44, 0, -2, -1, -6 in descending order. 0, -1, -2, -6, -44 Put 4, 3, -1114 in descending order. 4, 3, -1114 Sort 0.36, -2/13, -98 in decreasing order. 0.36, -2/13, -98 Sort -142, 3, 4, -4, -2. -142, -4, -2, 3, 4 Sort -4746, -3, 95 in decreasing order. 95, -3, -4746 Put -0.7, -4, 3865, -5 in descending order. 3865, -0.7, -4, -5 Put -13100, 0, 1, 5, -4, 2 in decreasing order. 5, 2, 1, 0, -4, -13100 Put 6, 4, 6.08 in ascending order. 4, 6, 6.08 Put 0, 0.2, 91, -0.5, 34, -4 in decreasing order. 91, 34, 0.2, 0, -0.5, -4 Sort -71, -10, -1, -5, -4 in increasing order. -71, -10, -5, -4, -1 Sort -264, 4, -1 in descending order. 4, -1, -264 Sort -313, 15, 2 in ascending order. -313, 2, 15 Sort 84, -2/5, 3/7, -0.79 in descending order. 84, 3/7, -2/5, -0.79 Put 4, -0.5, 416, -2/7, 2, 1/25 in decreasing order. 416, 4, 2, 1/25, -2/7, -0.5 Sort -147, -4, 5, 104, 2, 0. -147, -4, 0, 2, 5, 104 Sort 20, -2, 5, -155, 6 in increasing order. -155, -2, 5, 6, 20 Sort -712, -3/5, 0, 5/3 in decreasing order. 5/3, 0, -3/5, -712 Put 296, 0, 85 in descending order. 296, 85, 0 Put 0.4, 0, 1/4, -3203 in descending order. 0.4, 1/4, 0, -3203 Sort 6, -120, -0.02, 0, 1/6, 2 in descending order. 6, 2, 1/6, 0, -0.02, -120 Put -3, 7, -50, -1, 2, -6 in increasing order. -50, -6, -3, -1, 2, 7 Put -0.289, -0.2, 3, -2/3, -0.026 in descending order. 3, -0.026, -0.2, -0.289, -2/3 Sort -0.05, -28, -0.09 in increasing order. -28, -0.09, -0.05 Put 5, -8, -1902, -5 in ascending order. -1902, -8, -5, 5 Sort 9424, 5, 3, -4. -4, 3, 5, 9424 Put -1, -2/11, 3, 7, -2/41, -4 in descending order. 7, 3, -2/41, -2/11, -1, -4 Sort 1, -0.03, -68, -6, -3/5 in increasing order. -68, -6, -3/5, -0.03, 1 Put -10, -7190, 0 in decreasing order. 0, -10, -7190 Put 19, -0.1, -623, -0.2 in ascending order. -623, -0.2, -0.1, 19 Sort -0.29, 2/13, -2, 76, -0.1, 8 in descending order. 76, 8, 2/13, -0.1, -0.29, -2 Sort -4, 5, -0.44, -3, -1.1 in ascending order. -4, -3, -1.1, -0.44, 5 Sort -2/1091, 0.4, 4/7 in descending order. 4/7, 0.4, -2/1091 Put -28371, 6, 1 in descending order. 6, 1, -28371 Put 2/47, -5, 0.4, 0, -10 in descending order. 0.4, 2/47, 0, -5, -10 Sort 4, -3, 144, 1/6, -6.05 in decreasing order. 144, 4, 1/6, -3, -6.05 Sort 3, 31, 1, 185, 0, -2. -2, 0, 1, 3, 31, 185 Put 1021, -7, 1/7, -3
{ "pile_set_name": "DM Mathematics" }
- 31377 = -3*w, l = -5*w + 52281. Does 17 divide w? True Let y(i) = -3*i**3 - 6*i**2 - i + 3. Let t be y(-2). Suppose t*p - 83 = -j, -p - 332 = j - 5*j. Does 3 divide j? False Let x(d) = -d**3 + 19*d**2 + 21*d - 9. Let j be x(20). Let k(a) = a**2 - 24. Let q be k(j). Suppose 2*l = 5*y - 2*l - q, 3*y - 4*l = 63. Does 3 divide y? False Let q(f) = -f**3 - 83*f**2 + 166*f + 16. Does 4 divide q(-85)? True Let y = -42771 - -53811. Does 15 divide y? True Suppose -72200 = -49*h + 9*h. Is h a multiple of 19? True Does 55 divide (-4)/(-6) - (-1)/(164175/(-20523) - -8)? False Let l(r) = -r**2 + 38. Let i be l(-6). Let k be (6/(-4))/((-2)/4). Suppose -k*o = -i*o - 80. Does 40 divide o? True Let z = 481 - -1094. Does 7 divide z? True Let n = 193 - 177. Suppose -n*r + 468 = -13*r. Is 6 a factor of r? True Let k(c) = -8*c**2 - 7*c + 19*c**2 + 19 + 0*c**3 + 3*c**3 - 4*c**3. Is 5 a factor of k(9)? False Suppose n + 4*a - 9381 = 5*a, -n = a - 9387. Suppose -19*m + n = 15*m. Is m a multiple of 42? False Let r = -1179 + 1878. Let x be 4 + r - -1*(-1)/(-1). Suppose 2*n = 4*l + x, 4*n + 4*l - 1399 = 3*l. Is n a multiple of 14? True Is 32 a factor of (-536220)/(-42) + 1 - (8 - (-55)/(-7))? True Let w = 3197 + -1416. Is 13 a factor of w? True Let n(o) = -o**3 + 59*o**2 - 215*o + 24. Does 122 divide n(55)? False Let k = 94 - -414. Let o = k + -212. Is o a multiple of 24? False Let c = -182 + 394. Let s = c - -248. Suppose 5*l - s = 5*p, 0 = -3*l - p + 109 + 159. Is l a multiple of 30? True Let s be 2/4 - (-27)/18. Let d(x) = 35*x - 20*x + s*x**2 - 21*x + 10. Is d(8) a multiple of 16? False Suppose -2190 = -w - 5*r, -3*r + 13140 = 6*w - 7*r. Does 6 divide w? True Suppose -111 = 9*z - 3. Let d be 20/(32/z - -2). Let p = -7 - d. Is p a multiple of 6? False Suppose 4*y = -5*k + 21531, y = 4*k + 5025 - 22254. Is 83 a factor of k? False Let k = 17495 + -9385. Is 5 a factor of k? True Let j be 6*((-6)/4)/(-3). Let r(f) = -5*f**2 + 2*f - 5. Let t be r(j). Is 5 a factor of 256/26 + t/(-286)? True Let n(m) = -5*m**3 - 85*m**2 + 5*m - 39. Is 22 a factor of n(-19)? True Let x = 307 + -217. Suppose -l - x = -258. Is 11 a factor of l? False Let v = 18 - -32. Suppose x - v = 46. Suppose -74 = -2*j + 4*t - 2*t, 0 = -3*j - 2*t + x. Is 34 a factor of j? True Let v = 380 + -390. Let m(q) = -7*q + 37. Is 2 a factor of m(v)? False Does 34 divide (27 + 279)*28/8? False Let b(p) be the second derivative of 5*p**4/12 + 5*p**3/6 + 2*p**2 - 43*p. Let k be b(-1). Suppose -12*u - 222 = -k*i - 10*u, 4*i = -u + 219. Does 55 divide i? True Let k(l) = l**3 + 25*l**2 + 33*l + 9. Let j be (-16)/(-12) - (158/6 + -2). Does 14 divide k(j)? True Suppose -6*j = 236 - 308. Does 26 divide (j*3)/3*(-264)/(-11)? False Let y(s) = 1917*s + 1869. Is y(23) a multiple of 20? True Suppose 4*c = -2*h - 24, -30 = -0*h + 5*h + 4*c. Let w be h/10 - (-808)/40. Suppose 0 = w*s - 26*s + 972. Is 27 a factor of s? True Suppose 76*s - 79*s + 15714 = 0. Is s a multiple of 13? False Let f(d) = -44*d + 62. Let i be f(7). Let h = i - -263. Is h even? False Is -414*9/(297/(-3938)) a multiple of 85? False Is 193528/24 + (-21)/(-63) a multiple of 56? True Let z(h) = 3*h**2 + 4*h - 16. Let b(j) = -3*j**2 - 5*j + 17. Let n(f) = 5*b(f) + 6*z(f). Let a be n(4). Suppose 4*i = 3 + a. Is i a multiple of 9? True Is (81 - 0)*8*(-9)/(-9) a multiple of 12? True Let m = 448 + -443. Suppose -3*w + 994 = -4*g - 2616, 3*w + m*g - 3628 = 0. Is w a multiple of 63? False Let x(t) = -t**3 - 4*t**2 + 7*t + 16. Let g(p) = -4*p - 1. Let a be g(1). Let j be x(a). Let i(h) = h**2 + 4*h + 10. Is i(j) a multiple of 10? True Does 73 divide 41115/6 - (3 + (-66)/12)? False Let l(g) = 4*g**2 + 21*g - 110. Let a be l(13). Let m = a - 503. Is m a multiple of 14? True Let v(h) = 8*h**3 + 4*h**2 - 4*h. Let i be v(2). Does 19 divide (-1384)/(-36) - 32/i? True Let v(t) = -2609*t**3 + 8*t**2 + 12*t - 3. Let w be v(-3). Suppose 0 = 34*a - w + 16382. Is 42 a factor of a? False Let z = -5 - -7. Suppose -k + 4*w - 25 + 8 = 0, -z*k = -4*w + 42. Let f = k + 65. Does 3 divide f? False Let x = -39312 + 41954. Is x a multiple of 11? False Let d(a) = 34*a + 30. Let o be d(7). Let t = o + -170. Is t a multiple of 17? False Let t(p) = 4*p**2 - 17*p + 10. Let d be t(4). Suppose 2*m + d = -m, 5*s + 3*m - 6859 = 0. Does 78 divide s? False Let p = 85 - 158. Let o = 73 + p. Let u(z) = z**2 - 2*z + 255. Does 51 divide u(o)? True Does 4 divide (-1)/(1*4*(-8)/70624)? False Let d(i) = 150*i + 1 - 537*i + 257*i + 241*i. Does 28 divide d(1)? True Let q(d) = 1055*d**2 + 119*d - 490. Does 8 divide q(4)? False Suppose 0 = 14*k + 16*k - 120. Let c be ((-3)/(-6))/((-1)/(-56)). Is -60*(k/28 - 102/c) a multiple of 10? True Let w = 62542 - 43912. Is 46 a factor of w? True Suppose 86*s = 62*s - 2784. Let p(x) = 8*x**2 + 6. Let o be p(-5). Let m = o + s. Is 9 a factor of m? True Let i(g) = 26*g + 13. Let c be (-2*9/8)/(5/(-20)). Let q be i(c). Let y = q + -111. Is 34 a factor of y? True Does 4 divide ((-147)/4 + 2)/((-72)/1152)? True Suppose -3*h - 6 = 0, 4*h = -k + h + 142. Suppose 5*u = 20, c - 4*c = u - k. Is 4 a factor of c? True Does 4 divide (-1*(4 - 5))/(4/7144)? False Let y = 113 - 484. Let s = -189 - y. Is s a multiple of 13? True Let h(x) = -x**2 + 3*x - 2. Suppose 0 = -172*z + 167*z - 30. Let t be h(z). Let r = t - -126. Is r a multiple of 14? True Let m be ((96/15)/(-2) - -3)*0. Let r(g) = 78*g**2 + 2*g + 4. Let s be r(-3). Suppose -a - 4*a + s = m. Is a a multiple of 35? True Suppose -2*y + 2*c + 1766 = 2*y, 3*c = -3. Let l = y + -283. Let q = l - 50. Is q a multiple of 23? False Suppose -10*v + 584778 + 46102 = 0. Does 117 divide v? False Suppose -4*g - 3*c = -29, -g - 5*c + 3 = -0*g. Suppose 10*k - g*k = -360. Is 15 a factor of (166/(-6) - -1)*k/40? True Let n(p) = 199*p - 1110. Is 34 a factor of n(13)? False Let q = 561 + -985. Let a = q + 557. Is a a multiple of 3? False Let w be -953*(24/2)/(-4). Is 18 a factor of -4*(-1)/24 + w/18? False Let p(i) = 9*i + 21. Let h(f) be the third derivative of -13*f**4/24 - 31*f**3/6 - 24*f**2. Let k(d) = -5*h(d) - 8*p(d). Does 8 divide k(-3)? True Let j be (-16)/64*0/(2 - -1). Let y(l) = -62 + 153 - l + 0*l - 2*l**2 + l**3. Does 7 divide y(j)? True Is 14 a factor of 29177/4 + (((-81)/(-4))/(-9) - -2)? True Let w(p) be the first derivative of 107*p**4/4 + 2*p**3/3 - p**2/2 - 40. Is w(1) a multiple of 3? True Let y be (8 - 7)/(1/10). Suppose 56 = -5*w - 44. Is 8 a factor of (-158)/w + y/100? True Let d(g) = -g**2 - g + 5. Let r be (-1 - -1)/(12 + -11). Let x be d(r). Suppose -x*u - 140 = -5*c, u - 36 = -c - 2*u. Is 5 a factor of c? True Suppose 13245*n - 34104 = 13238*n. Does 28 divide n? True Let z(f) be the first derivative of 5*f**3/3 - 15*f**2/2 + 192*f + 78. Does 28 divide z(8)? True Let j(u) = -311*u - 1282. Is j(-10) a multiple of 109? False Suppose 307*g - 310*g + p + 14963 = 0, 5*g = -3*p + 24915. Is g a multiple of 15? False Let v(z) = 66*z - 31. Let w be v(3). Let d = 243 - w. Is d a multiple of 19? True Suppose -18*j + 16*j + 9390 = 0. Does 3 divide j/50 - (-1)/10? False Suppose 4*a = 25 - 13. Suppose 6*g - 2*g + a*l - 1059 = 0, 2*l = 2*g - 526. Is 44 a factor of g? True Let i(z) = 610*z**2 + 146*z - 17. Does 36 divide i(4)? False Suppose -5*v + 61323 = -f, 5*v + 3*f = 6*v - 12273. Is 23 a factor of v? False Suppose 17*r - 3005 = -4*a + 18*r, -2355 = -3*a + 21*r. Is 4 a factor of a? False Suppose 3*q = -2*s + 14620, 4*q + 177 = 193. Is 11 a factor of s? True Let o = 67 - 70. Let d(u) = 2*u**2 + 5*u + 15 + u**2 + 3*u**2 + 0*u**2. Does 6 divide d(o)? True Let j = -28947 - -48459. Is j a multiple of 12? True Let s(j) = 8*j**2 + 6*j. Let l = -112 - -100. Let z be (((-231)/l)/11)/(1/(-4)). Is 50 a factor of s(z)? True Suppose -3*m + 4*z - 40 = m, -z + 24 = -3*m. Let n(s) = -13 + s**3 + 17 + 3*s + 8*s**2 - 3*s + 2*s. Is n(m) a multiple of 39? True Let x = -5240 + 15405. Does 107 divide x? True Suppose -3*v - 5*g - 3559 = 0, g + 49 = 53. Let j = 2489 + v. Does 18 divide j? True Let u(z) = 2048*z - 314. Does 30 divide u(5)? False Let r = 3472 - 2192. Is r a multiple of 10? True Let l be (1*(-2 + 4))/(-4)*-6. Suppose -2*m + 92 = -f, -32 = l*m - 4*f - 160. Is m a multiple of 48? True Let b = -70 + 189. Let k = 295 - b. Suppose -5*x - g = -182,
{ "pile_set_name": "DM Mathematics" }
z be f(0). Let k = z + -97. List the prime factors of k. 53 Let s = 75 + -5. List the prime factors of s. 2, 5, 7 Let t(l) be the first derivative of 8*l**3/3 + 5*l**2/2 - 6*l - 23. What are the prime factors of t(3)? 3 Let q(s) = 527*s - 137. List the prime factors of q(2). 7, 131 Let s be -1*(-6)/(-21)*-14. Suppose 4*v = 2*w - s*w - 50, -3*w + 2*v = 67. Let r = w + 26. What are the prime factors of r? 3 Let k = 2781 + -456. What are the prime factors of k? 3, 5, 31 Let t be 31 - (-4)/((-16)/(-4)). Let w(o) = -18*o - 17*o + t*o - 6. List the prime factors of w(-7). 3, 5 Suppose 0 = 2*y - j - 3179, 0 = 11*y - 15*y + 5*j + 6367. List the prime factors of y. 2, 397 Let f = 61 + -18. Let t be 20/3 + 1/3. Suppose -2*y - t + f = 0. What are the prime factors of y? 2, 3 Suppose g - 133 - 69 = 0. List the prime factors of g. 2, 101 What are the prime factors of (-3)/4 - (-35265)/60? 587 Suppose 3718 = 5*p - 4*w - 170, p - 766 = -5*w. List the prime factors of p. 2, 97 Let v = -17 + 22. Suppose v*o - 316 - 59 = 0. What are the prime factors of o? 3, 5 Let b(x) = 2*x + 112. What are the prime factors of b(18)? 2, 37 Let y(r) = 634*r + 66. What are the prime factors of y(4)? 2, 1301 Let f(j) = -j**3 + 12*j**2 + 6*j + 24. Let r be f(13). Let h = 97 + r. Let b = h + -8. List the prime factors of b. 2, 11 What are the prime factors of 9/12*(700 + (-24)/3)? 3, 173 Let i(k) = -k**3 + k**2. Let h(c) be the first derivative of 5*c**4/4 - 2*c**3/3 + 8*c + 3. Let x(b) = -h(b) - 4*i(b). List the prime factors of x(-4). 2, 3 List the prime factors of (-1)/((4/(-766))/(120/20)). 3, 383 Let i(d) = d. Let c(l) = l**3 + 7*l**2 + 6*l + 5. Let a be c(-6). Let r be i(a). Suppose 10*m - r*m - 150 = 0. What are the prime factors of m? 2, 3, 5 Let n = 41 - -349. Suppose -12*f = -9*f - n. List the prime factors of f. 2, 5, 13 Let d = 6 - -559. List the prime factors of d. 5, 113 What are the prime factors of (-10 - 88716/(-42)) + (-2)/7? 2, 1051 Let b(r) = 39*r**3 + 2*r**2 - 3*r - 9. List the prime factors of b(4). 23, 109 Suppose -3*h - 5163 = -5*c, 0 = -4*c + 16*h - 13*h + 4128. List the prime factors of c. 3, 5, 23 Suppose 2*u + 0 = 10. Suppose 0*x - 80 = -2*r - u*x, 0 = 3*r - x - 120. List the prime factors of r. 2, 5 Let n = 35 - 10. Suppose n = -4*b + 93. Suppose 5*o - 18 = b. What are the prime factors of o? 7 Let c = 174 - 80. Suppose -c = -3*p + 101. What are the prime factors of p? 5, 13 Let j = 25 - 25. Let d = j + 40. List the prime factors of d. 2, 5 Suppose 12*z - 13*z + 121 = 0. Let a = z + -65. What are the prime factors of a? 2, 7 Let x(t) = -242*t + 1312. List the prime factors of x(-9). 2, 5, 349 Let u(n) = 5*n**3 + 9*n**2 - 19*n - 4. What are the prime factors of u(4)? 2, 3 Suppose n - 60 = 6*n. List the prime factors of (-12)/(-16) + (-279)/n. 2, 3 Suppose 6*i - 18*i + 48 = 0. Suppose p = y - 72, -i*p + 0*p = -2*y + 138. List the prime factors of y. 3, 5 What are the prime factors of 25182/45 - 5/(25/(-2))? 2, 5, 7 Suppose 0 = o - 3*o + 380. Suppose 5*j = 3*i + o, -2*i = 3*j + i - 90. What are the prime factors of j? 5, 7 Let w be -2*(-12)/16*42. List the prime factors of 2/7 + 1872/w. 2, 3, 5 Let i = -30 + 4. Let d = 37 + i. Suppose -5*r + r - 5*o + 47 = 0, o - d = -r. List the prime factors of r. 2 Suppose 0 = 8*t - 2340 - 700. What are the prime factors of t? 2, 5, 19 Suppose 1 + 7 = 4*d. Suppose -2*n + d*i = -56, -4*n + 140 = -2*i + 5*i. What are the prime factors of n? 2 Let q(v) be the second derivative of v**4/12 + 3*v**3/2 - 4*v**2 + 8*v. Let l be q(-10). Suppose l*y - 5*y = -120. What are the prime factors of y? 2, 5 Let h(n) = n**3 - 11*n**2 + 3*n - 4. Let l be h(11). Suppose -5 = -u + l. List the prime factors of u. 2, 17 Suppose -2*j = -2*x + 104, 42 = x + j + 3*j. Suppose -5*s - 3*a + 55 = -x, 5*s - 5*a - 65 = 0. List the prime factors of s. 2, 3 Suppose 0 = -4*a - 21 + 1. What are the prime factors of 144/(-3)*(a + 4)? 2, 3 Suppose 0 = 4*g - 2*l - 6, 2*g - 7*l + 2*l - 15 = 0. Let k(r) = 2*r**2 - 2*r + 224. List the prime factors of k(g). 2, 7 Let t(k) = -514*k + 3*k**2 + 19 + 514*k. What are the prime factors of t(-8)? 211 Let b = -11405 + 16392. What are the prime factors of b? 4987 Let n be 3/(-2)*(-1 + 3) - -8. Suppose n*j - 77 = 4*j. List the prime factors of j. 7, 11 Let k(x) = 147*x**2 + 7*x - 1. Let f be k(3). Suppose -f = -10*q + 297. What are the prime factors of q? 2, 41 Let v(l) = -2*l - 22. Let r be v(-11). Suppose r = i - 19 + 17. Suppose -5*g + 3*t + 197 = 0, i*t = -2*g + 64 + 18. What are the prime factors of g? 2, 5 Suppose 0 = 5*q + 2*z + 462 + 68, 0 = 4*q + 4*z + 412. List the prime factors of (q/30)/9 + (-2134)/(-10). 3, 71 Let u(r) be the third derivative of r**4/6 - r**3/3 + 13*r**2. Let b be u(2). What are the prime factors of (-52)/b*(10 + -13)? 2, 13 Let x be 21/(-14)*(-1 - 0 - 1). Suppose 225 - 41 = 3*a + 4*n, 219 = x*a - 3*n. List the prime factors of a. 2, 17 Let u be (0 + 1110/9)*(-18)/(-12). Suppose -3*o = -5*g - u, 4*o - 3*g - 138 = 105. List the prime factors of o. 2, 3, 5 Let u = 603 - 173. List the prime factors of u. 2, 5, 43 Let z(o) = -o**2 + 11*o - 19. Let c be z(8). Suppose c*j - 48 = 47. What are the prime factors of j? 19 Let n(s) = -36*s. Let o be n(1). Let t be o/(-15) - (-4)/(-10). Suppose 23 = a + 3*y, 2*a - t*y = 4*a - 46. List the prime factors of a. 23 What are the prime factors of 18 + -26 + (283 - -1)? 2, 3, 23 Let j(f) = 55*f + 74. What are the prime factors of j(20)? 2, 587 Let a(x) = 14*x + 4. Let d = -7 + 11. List the prime factors of a(d). 2, 3, 5 Let w be 2 + 0 + (0 - 0) + -2. Suppose -z + 2*k + 71 + 52 = w, 3 = 3*k. List the prime factors of z. 5 Let y(d) = -230*d - 124. What are the prime factors of y(-7)? 2, 743 What are the prime factors of 38/(-10) + 3 - (-3828)/10? 2, 191 Let w(g) = -g**2 + 4*g + 4. Let r be w(4). Let l be 6/9 - r/6. Suppose l = -t - 2*t + 30. What are the prime factors of t? 2, 5 Suppose 4*o + 111 - 739 = -4*j, -463 = -3*j - 5*o. List the prime factors of j. 7, 23 Let g(p) = -6*p**3 + 2*p**2 + 4*p + 3. Let d be (3 - 3/2)/(18/(-24)). List the prime factors of g(d). 3, 17 Let l(o) = 0*o**2 - 2*o**2 + 2*o**2 - 12*o + o**2 + 2. Suppose 4*z - 32 = -2*h, z - 25 - 25 = -4*h. What are the prime factors of l(h)? 2 Let b be (-9)/6*10 - 3. Let n = -16 - b. Suppose -d - 6 + 22 = 4*g, -2*d - n*g = -50. What are the prime factors of d? 2, 7 Suppose 10*z = 5*z + 20. Let l(n) = n**3 - 4*n**2 + 5*n - 3. Let g be l(z). Suppose 0 = -5*t - 15, t - g = -9*h + 4*h. What are the prime factors of h? 2 Suppose 27*k = -4*i + 28*k + 5703, 5*i + 3*k - 7116 = 0. List the prime factors of i. 3, 5, 19 Suppose -4*n - 19 = -z + 10, 2*n - 5*z + 37 = 0. Let r = n - -8. Let i(g) = g**3 - g**2 + 2*g + 1. What are the prime factors of i(r)? 3 Let d = 18 + -11. Let s be 18/(-2)*(4 - 7). Suppose 8*h - s = d*h. List the prime factors of h. 3 Suppose -4*h - 154 = 2*d, -h + 86 = -2*d - 43. Let n = -7 - d. List the prime factors of n. 2, 3, 5 Let t(i) = -24*i. Let m(f) = f - 1. Let b(n) = 2*m(n) - t(n). What are the prime factors of b(2)? 2, 5 Suppose -2*y + 3*n = -2344, -4*n = 22*y - 18*y - 4648. What are the prime factors of y? 2, 11, 53 Let c = -9 - 6. What are the prime factors of (-300)/9*24*3/c? 2, 5 Let n = 298 + -200. Let k = 57 - n. Let p = -24 - k. What are the prime factors of p? 17 Let z = 0 - -2. Let c(p) = -14*p - 4 - 1 + 4 + 2*p**z - 3*p**2. List the prime factors of c(-13). 2, 3 Let o(q) = 5*q + 31. Let t be o(0). Let l = t + 18. What are the prime factors of l? 7 Suppose 4*r + 432 = -d + 3*d, 0 = r. Suppose 6*h - 9*h = -d. List the prime factors of h. 2, 3 Suppose 0 = -r - u + 15, 4*u = -r + 13 + 8. Let t(a) = -a**2 + 13*a - 1. Let v be t(r). List the prime factors of 41 - (2 + (v - -3)). 37 Let i(y) = 9*y**2 + 3*y + 10 - 4*y**2 + y**2 + 9*y. List the prime factors of i(-4). 2, 29 Let g = -15 + 17. Suppose 4*n - 36 = -g*m + m, -4*m - 24 = -5*n. What are the prime factors of n/(-12) + (-124)/(-6)? 2, 5 Suppose 0*r + r = 320. Suppose -4*f - o - 3*o + r = 0, -3*f - 2*o = -237. List the prime factors of f. 7, 11 Let c = 1008 - 516. Suppose 42*m - 38*m = c. List the prime factors of m. 3, 41 Let g be 0/(-1 - 1) + 5. Suppose 267 + 268 = g*t. What are the prime factors of t? 107 Let u(l) =
{ "pile_set_name": "DM Mathematics" }
What is 2735 to the power of 1/5, to the nearest integer? 5 What is the cube root of 826 to the nearest integer? 9 What is the square root of 859 to the nearest integer? 29 What is the third root of 58843 to the nearest integer? 39 What is 2594 to the power of 1/3, to the nearest integer? 14 What is the ninth root of 12830 to the nearest integer? 3 What is the cube root of 788 to the nearest integer? 9 What is 5460 to the power of 1/2, to the nearest integer? 74 What is 59203 to the power of 1/3, to the nearest integer? 39 What is the ninth root of 444 to the nearest integer? 2 What is the square root of 30914 to the nearest integer? 176 What is 26914 to the power of 1/10, to the nearest integer? 3 What is the ninth root of 7844 to the nearest integer? 3 What is the square root of 1295 to the nearest integer? 36 What is the fifth root of 13105 to the nearest integer? 7 What is 6020 to the power of 1/2, to the nearest integer? 78 What is the eighth root of 33524 to the nearest integer? 4 What is 2022 to the power of 1/8, to the nearest integer? 3 What is 4385 to the power of 1/2, to the nearest integer? 66 What is 45388 to the power of 1/2, to the nearest integer? 213 What is the sixth root of 134 to the nearest integer? 2 What is the fourth root of 7842 to the nearest integer? 9 What is the cube root of 1892 to the nearest integer? 12 What is 1636 to the power of 1/7, to the nearest integer? 3 What is 11802 to the power of 1/10, to the nearest integer? 3 What is the third root of 4042 to the nearest integer? 16 What is the third root of 6130 to the nearest integer? 18 What is the cube root of 15256 to the nearest integer? 25 What is the fifth root of 738 to the nearest integer? 4 What is the square root of 3020 to the nearest integer? 55 What is the cube root of 2301 to the nearest integer? 13 What is the third root of 27167 to the nearest integer? 30 What is the eighth root of 3643 to the nearest integer? 3 What is the third root of 1314 to the nearest integer? 11 What is the third root of 3435 to the nearest integer? 15 What is the fourth root of 42756 to the nearest integer? 14 What is 24268 to the power of 1/6, to the nearest integer? 5 What is 326 to the power of 1/2, to the nearest integer? 18 What is 522 to the power of 1/9, to the nearest integer? 2 What is 2847 to the power of 1/10, to the nearest integer? 2 What is 15090 to the power of 1/9, to the nearest integer? 3 What is 666 to the power of 1/8, to the nearest integer? 2 What is the third root of 226 to the nearest integer? 6 What is the tenth root of 1384 to the nearest integer? 2 What is 151 to the power of 1/2, to the nearest integer? 12 What is the cube root of 1000 to the nearest integer? 10 What is the third root of 125960 to the nearest integer? 50 What is 49779 to the power of 1/2, to the nearest integer? 223 What is 21504 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 39645 to the nearest integer? 14 What is 3573 to the power of 1/3, to the nearest integer? 15 What is 2147 to the power of 1/7, to the nearest integer? 3 What is the third root of 45247 to the nearest integer? 36 What is the square root of 117903 to the nearest integer? 343 What is the sixth root of 306 to the nearest integer? 3 What is 4411 to the power of 1/3, to the nearest integer? 16 What is 25763 to the power of 1/2, to the nearest integer? 161 What is 23754 to the power of 1/3, to the nearest integer? 29 What is 18121 to the power of 1/2, to the nearest integer? 135 What is the fourth root of 72453 to the nearest integer? 16 What is 2783 to the power of 1/9, to the nearest integer? 2 What is 74144 to the power of 1/7, to the nearest integer? 5 What is the third root of 989 to the nearest integer? 10 What is the cube root of 82550 to the nearest integer? 44 What is the third root of 79924 to the nearest integer? 43 What is the ninth root of 22539 to the nearest integer? 3 What is 39730 to the power of 1/3, to the nearest integer? 34 What is 7589 to the power of 1/10, to the nearest integer? 2 What is the square root of 5135 to the nearest integer? 72 What is 935 to the power of 1/6, to the nearest integer? 3 What is the square root of 170228 to the nearest integer? 413 What is the ninth root of 99510 to the nearest integer? 4 What is 603 to the power of 1/10, to the nearest integer? 2 What is 1400 to the power of 1/2, to the nearest integer? 37 What is the fifth root of 1061 to the nearest integer? 4 What is the square root of 5630 to the nearest integer? 75 What is the cube root of 433 to the nearest integer? 8 What is the third root of 2741 to the nearest integer? 14 What is 1294 to the power of 1/3, to the nearest integer? 11 What is 113054 to the power of 1/10, to the nearest integer? 3 What is 858 to the power of 1/8, to the nearest integer? 2 What is the ninth root of 1002 to the nearest integer? 2 What is the tenth root of 2153 to the nearest integer? 2 What is 1139 to the power of 1/2, to the nearest integer? 34 What is 943 to the power of 1/9, to the nearest integer? 2 What is 1243 to the power of 1/3, to the nearest integer? 11 What is 603 to the power of 1/3, to the nearest integer? 8 What is 6764 to the power of 1/4, to the nearest integer? 9 What is the cube root of 1309 to the nearest integer? 11 What is 1587 to the power of 1/2, to the nearest integer? 40 What is 8035 to the power of 1/2, to the nearest integer? 90 What is 45076 to the power of 1/2, to the nearest integer? 212 What is the square root of 3717 to the nearest integer? 61 What is the cube root of 1055 to the nearest integer? 10 What is the cube root of 37549 to the nearest integer? 33 What is 814 to the power of 1/8, to the nearest integer? 2 What is 2105 to the power of 1/5, to the nearest integer? 5 What is the ninth root of 6056 to the nearest integer? 3 What is the third root of 3 to the nearest integer? 1 What is 789 to the power of 1/9, to the nearest integer? 2 What is the tenth root of 24091 to the nearest integer? 3 What is 65143 to the power of 1/3, to the nearest integer? 40 What is the eighth root of 2226 to the nearest integer? 3 What is 833 to the power of 1/5, to the nearest integer? 4 What is the ninth root of 43139 to the nearest integer? 3 What is 2828 to the power of 1/2, to the nearest integer? 53 What is the square root of 5475 to the nearest integer? 74 What is 18116 to the power of 1/2, to the nearest integer? 135 What is the fifth root of 2436 to the nearest integer? 5 What is 5465 to the power of 1/5, to the nearest integer? 6 What is the eighth root of 795 to the nearest integer? 2 What is 16839 to the power of 1/2, to the nearest integer? 130 What is 24391 to the power of 1/7, to the nearest integer? 4 What is 15766 to the power of 1/2, to the nearest integer? 126 What is 11663 to the power of 1/7, to the nearest integer? 4 What is the seventh root of 64509 to the nearest integer? 5 What is 8809 to the power of 1/2, to the nearest integer? 94 What is 744 to the power of 1/4, to the nearest integer? 5 What is 22730 to the power of 1/3, to the nearest integer? 28 What is the square root of 1059 to the nearest integer? 33 What is 23883 to the power of 1/3, to the nearest integer? 29 What is 6276 to the power of 1/2, to the nearest integer? 79 What is the cube root of 198 to the nearest integer? 6 What is 51507 to the power of 1/5, to the nearest integer? 9 What is 561 to the power of 1/2, to the nearest integer? 24 What is 21527 to the power of 1/7, to the nearest integer? 4 What is the eighth root of 72265 to the nearest integer? 4 What is the cube root of 52315 to the nearest integer? 37 What is the sixth root of 13606 to the nearest integer? 5 What is the fifth root of 14760 to the nearest integer? 7 What is 16020 to the power of 1/2, to the nearest integer? 127 What is the square root of 24722 to the nearest integer? 157 What is 11590 to the power of 1/3, to the nearest integer? 23 What is the square root of 6265 to the nearest integer? 79 What is the square root of 205 to the nearest integer? 14 What is the seventh root of 588 to the nearest integer? 2 What is 15419 to the power of 1/6, to the nearest integer? 5 What is 36842 to the power of 1/2, to the nearest in
{ "pile_set_name": "DM Mathematics" }
2 + l*j**3 and give l. 1 Rearrange 4*a**3 + 5*a**3 + 15*a**3 + (-2 + a**2 + 2)*(2*a + 0*a + 2*a) - 6*a**3 + a**3 + 4*a**3 to m*a**2 + w + j*a**3 + l*a and give j. 27 Rearrange -7*p + 9*p - 7*p - p**2 to q*p + o*p**2 + b and give o. -1 Express -3*n**2 - 4*n**4 - 3*n**3 + 5*n**2 - 2*n + 31 - 29 as j*n**3 + l*n + h*n**4 + b*n**2 + o and give b. 2 Express -3*x**2 + 3*x**3 - 2*x**2 - 102*x + 104*x in the form p*x**3 + g + z*x**2 + r*x and give p. 3 Express (t**2 + 1 + t + 0*t**2 - 2*t**2)*(-9*t + t + 16*t) as o*t**2 + y*t**3 + d*t + j and give y. -8 Rearrange 12*o + 85*o - 205*o to a + r*o and give a. 0 Rearrange 0*k + 0*k + 68*k to the form n*k + w and give n. 68 Rearrange (2 - 3 + 4)*(5 - 2 - 1)*(-28*n + 6*n - 10*n) + 2*n - 3*n + 2*n to the form z*n + x and give z. -191 Rearrange (4 - 5 + 0)*(-12 + 8 - 10)*(-3 + 3 - 2*m)*(0 - 1 + 3) to the form c*m + z and give c. -56 Rearrange 2*k**3 + 0*k**3 + 78 - 106 to n*k**2 + f + b*k**3 + g*k and give n. 0 Rearrange (-46*v + 138 - 138)*(2 + 0 + 0) - 2*v + 3*v - 3*v to the form s*v + l and give s. -94 Rearrange (0 - 2 + 3)*(p - 31*p - 13*p)*(3 + 1 - 3) to a + j*p and give j. -43 Rearrange 20*q**2 + 10 - 18*q**2 + 3*q**4 - 4*q**4 to v*q + n + g*q**3 + h*q**4 + m*q**2 and give h. -1 Express (-1 - 2 + 4)*(3*d - 2*d - 3*d) - 44 - 3*d + 44 + 8 + d - 4 - 2*d in the form s + y*d and give s. 4 Express ((0 - 1 - 1)*(0 - 2 + 1) - 3 + 0 + 2)*(-20*x + 43*x - 25*x)*(2 + 0 - 1) as q + i*x and give i. -2 Express (2 - 6 + 2)*(-3 - p**2 + 3) + 10*p**2 + 120 + 0*p**2 - 121 as q*p**2 + w*p + l and give q. 12 Express -10*l + 21*l - 11*l + l**2 + l**3 - l**4 as f*l**2 + j*l + t*l**3 + c*l**4 + a and give c. -1 Rearrange -112 + 112 + 104*y**2 to f*y + v*y**2 + n and give v. 104 Express f**4 - 3 - f + 5 + 6*f as w*f + t + j*f**3 + s*f**4 + k*f**2 and give s. 1 Rearrange (2*j - 3*j - 4*j)*(-8 + 3 - 1) to the form q + n*j and give n. 30 Rearrange (15 - 9 - 5)*(-6*t + t + 0*t)*(0*t - t + 3*t) to d + n*t**2 + j*t and give n. -10 Rearrange -2 - 2 + 4 - 4*u to l + z*u and give l. 0 Express -d + 0*d + d + 13*d**2 in the form k + l*d + q*d**2 and give q. 13 Express (2 + 0 - 1)*(-4*n**4 + 2 + 5*n**3 - 4*n**3 - 3*n**3) in the form z*n + c*n**4 + b + v*n**3 + s*n**2 and give c. -4 Rearrange m - 2 + 2 + m + m + m + 2*m + 5 - 5 + (3 - 1 + 0)*(m - 2 + 2) - m + m + m to z + u*m and give u. 9 Express 0*q**3 + 0*q**3 - q**4 + (-4 - q - 5 + 0)*(q**3 + 5*q**3 - 4*q**3) as h*q + v + w*q**2 + u*q**3 + k*q**4 and give u. -18 Express 4*c + c**2 - 5*c + 2*c**4 + 1 + 2*c + 0*c**4 in the form d*c**2 + k*c + q*c**3 + h*c**4 + n and give n. 1 Express u**4 + 2*u**2 + 2*u - 8 + 10 - u in the form l + h*u**3 + x*u**4 + i*u + b*u**2 and give l. 2 Express (2*j**2 - 2*j**3 - 2*j**2)*(0*j - 5*j + 4*j) + 25*j**4 + 2*j + 2*j**2 - 24*j**4 - 12*j in the form a*j**4 + k*j**2 + y*j + i + g*j**3 and give a. 3 Rearrange -28*x**4 - 12*x**3 + 2*x**2 - 2*x - 4*x**3 + 19*x**3 to p + b*x**3 + u*x**4 + m*x**2 + y*x and give u. -28 Express -11 - 83*u + 11 + 3*u in the form m*u + n and give m. -80 Rearrange 6*h - 27*h**2 - 10 - h**4 + 26*h**2 + 10 to b*h**3 + d + w*h**4 + y*h + r*h**2 and give w. -1 Rearrange (5 + 4 - 5)*(2*l**2 - 6*l**2 + 3*l**2)*(-2 - 2 + 3) to a*l + d + x*l**2 and give x. 4 Rearrange (r + 1 - 1)*(2*r - 4*r + 4*r) + (-6*r + 2*r + 2*r)*(-r - 4*r + 3*r)*(-3 + 1 - 5) to the form t*r + l*r**2 + k and give l. -26 Express -2710 + 2710 - 165*j as c + v*j and give v. -165 Express 4 + 0*j**2 - 3 + 6*j**2 - 3 in the form h*j + t*j**2 + c and give c. -2 Rearrange 0*z**2 + 0*z**3 + z**3 + 2*z**2 to the form r*z**3 + v*z + u*z**2 + x and give x. 0 Rearrange (4 - 8 - 2)*(4*s**2 + 0*s**2 - s**2)*(-2*s**2 + 2*s**2 - s**2) to the form n*s + p*s**3 + h + u*s**2 + r*s**4 and give r. 18 Rearrange (1 + 0*h**2 + 2*h**2 - 5*h**2)*(h**2 - 2*h**2 + 10*h**2) to the form u*h**2 + n*h**4 + l*h + t*h**3 + w and give n. -27 Rearrange (-3*l + 4*l + 0*l + 2 - 2 - 2*l + 0*l - l - 3*l + (-2*l + l + 3*l)*(-2 + 0 + 1) + 1 - 1 - 2*l)*(l - 5*l + l) to d*l**2 + g + o*l and give d. 27 Rearrange -84*r + 26*r + 25*r to l*r + o and give l. -33 Express 0 + 4*y**2 - 129*y + 123*y - 3 - y**2 + 4*y**2 - y**2 + (2*y + 0 + 0)*(-3*y - y + 2*y) as j*y + m*y**2 + b and give b. -3 Rearrange 7*j**4 - 4*j**2 + 5*j**2 - j**4 - 2*j - 3*j**4 to i*j**2 + w + k*j + a*j**4 + m*j**3 and give i. 1 Rearrange -4 - 6*r**2 - r + 5 - 10 + 6 to q*r**2 + h + s*r and give s. -1 Express (-z + z - 2*z**2)*(3*z - 5*z + z)*((-4 + 5 - 3)*(1 - 2 + 3) + 6 - 4 - 8 + 5 - 5 + 3) as w*z**3 + t*z**2 + i + v*z and give w. -14 Rearrange (2*v**2 - v**2 + 0*v**2)*(-v - v + 0*v) - 225*v + 225*v + v**3 - 2*v**2 to x*v**3 + b*v**2 + a + q*v and give a. 0 Rearrange -369 - 42*f + 369 to the form g + p*f and give p. -42 Express 89 - 89 - 5*t as d + p*t and give p. -5 Express (-3 + 4*i - i - 2*i)*(1 - 1 + 1) + 17*i - 469 + 469 as u + k*i and give k. 18 Rearrange (-3 + 619*f - 764*f + 2)*(0 + f**3 + 0) to the form r*f**4 + a*f**3 + g*f**2 + b + t*f and give r. -145 Rearrange (2*p + 23*p + 3*p)*(2*p + p**2 - 2*p) to q*p**2 + f*p + x*p**3 + a and give x. 28 Express (-3*u + 3*u + 4*u)*(-1 + 1 + 1)*((-3 + 2 + 0)*(4 - 3 + 1) - 3 + 0 + 1)*(-43 + 6 + 7) in the form b*u + f and give b. 480 Express (-10 + 3*d + 10)*(4 + 1 - 2) in the form w*d + i and give w. 9 Express 2109 + 12*o - 2109 in the form i + v*o and give v. 12 Rearrange (47 - 46*p - 11 + 44*p)*(2*p + 2*p - 5*p) to d + t*p**2 + i*p and give t. 2 Rearrange (-2*k**2 + 528 - 415 + 0*k**2)*(-k + 2*k + k) to c*k + r*k**3 + a*k**2 + b and give r. -4 Express -54*u**2 + 99*u**2 - 48*u**2 + 30 in the form z*u**2 + b + y*u and give z. -3 Rearrange -373*r - r**2 - r**2 + 401*r - r**3 to m*r**3 + f + t*r + u*r**2 and give t. 28 Rearrange 10*z + 0*z + 28*z to the form w*z + x and give w. 38 Rearrange -w**3 + 5*w**3 + 7 - 6*w**3 + 2*w**2 to u*w**2 + l + o*w + z*w**3 and give z. -2 Express 3*v**2 + 2*v**2 - 4*v**2 in the form n + g*v**2 + t*v and give g. 1 Rearrange -4*o**4 + 12*o**3 - 12*o**3 - o**4 + o - o + (-5 + 2 + 1)*(4*o**4 - 3*o**4 - 3*o**4) to the form v*o + j*o**2 + z*o**3 + g + t*o**4 and give t. -1 Rearrange (-2 + 5 - 4)*(5*d**3 + 2*d**3 - 5*d**3) + (0*d + d - 4*d)*(-2*d**2 + 2*d**2 - d**2) to r*d**2 + h*d + t*d**3 + a and give t. 1 Express -4*o**2 + 11*o**2 - 4*o**2 in the form h*o**2 + c*o + x and give h. 3 Express (-4*l - 5*l + 3*l)*(38 - 38 - 18*l**2) in the form g + m*l + r*l**3 + s*l**2 and give r. 108 Rearrange 32 + 0*u**2 + u**3 - 62 + 31 + 4*u**2 to the form r*u**3 + j + o*u**2 + m*u and give j. 1 Rearrange 3*p**2 - 2*p**2 - 4 - p**2 + 3*p**2 + p to the form m + c*p + b*p**2 and give b. 3 Rearrange (-5 - 7*j + 5)*(0 + 4 + 1)*(-1 + 0 + 3)*(-3 + 3 - j) to l + u*j**2 + x*j and give u. 70 Express (2*i + 5*i - 4*i)*(5*i**2 - 2*i**2 - 2*i**2) - 5*i**3 + 3*i**3 - 10*i**3 as q*i**3 + t*i**2 + o + b*i and give q. -9 Express (0*w - 12*w + 2*w)*(-3*w - 2*w + 3*w) - w**2 - w**2 + 4*w**2 + (0 + 0 - 2*w)*(3*w - 2*w - 4*w) as m*w + n + d*w**2 and give d. 28 Rearrange -4*i**2 - 2*i**2 + 8*i**2 - 4*i to c*i**2 + k*i + o and give k. -4 Express 25*r - 11*r + 11*r**2 - 14*r as m + y*r**2 + k*r and give y. 11 Rearrange 4*f**4 - 3*f**4 - 3*f**4 - f + 2*f**4 + f + (-4 + f**3 + 4)*(f + 2*f + 0*f) to the form p + j*f + g*f**2 + o*f**3 + z*f**4 and give z. 3 Express l**3 - 5*l**4 + l + 6*l**2 - 9*l**2 + 4*l**4 in the form t*l**4 + d*l**3 + s*l**2 + g*l + u and give s. -3 Rearrange -1 + 7*y**2 - 4*y**2 - 2*y - 4*y**3 - 2*y**2 + y**4 + 8*y**3 to b*y**3 + x*y**4 + c*y**2 + a + t*y and give x. 1 Rearrange (3 + v - 3)*(4*v - 2*v - 3*v) + v**2 - v**2 + v**2 + (-3*v + v + 4*v)*(2*v - 1 + 1) to q*v**2 + n + r*v and give q. 4 Rearrange p**3 + 76 - 3*p**3 - 37*p - 76 - p**2 to the form j*p**2 + v + y*p**3 + s*p and give j. -1 Rearrange (2 - 2 + 3)*(-x + 4*x - x - 2*x + 6*x + 0*x + (2*x + 2*x - 2*x)*(-3 - 2 + 4) + 3*x - x + 0*x) to q + n*x and give n. 18 Rearrange p**3 + p**3 + p**3 + (-1 - 2 + 1)*(-p**2 - 3 + 3)*(0*p + 3*p + p) to m*p + d*p**3 + v*p**2 + h and give d. 11 Express (2 + 0 - 5)*(-27 + 27 - 7*r) as g + j*r and give g. 0 Rearrange (-y**3 + 4*y - 4*y + (5*y**2 - 5*y**2 - 2*y**2)*(2*y - y + y) + 0*y**3 + y**3 + 0*y**3)*(-2 - 2 + 2) to the form m*y**3 + s + x*y + n*y**2 and give m. 8 Express -15*w + 48*w + 2*w in the fo
{ "pile_set_name": "DM Mathematics" }
33 Factor -2*d**2/15 - 224*d/15 + 312. -2*(d - 18)*(d + 130)/15 Factor 9*r**4/4 + 69*r**3/4 + 151*r**2/4 + 79*r/4 + 3. (r + 3)*(r + 4)*(3*r + 1)**2/4 Determine o so that -98*o**5/3 + 280*o**4/3 - 88*o**3/3 - 244*o**2/3 + 62*o - 12 = 0. -1, 3/7, 1, 2 What is n in -n**5/3 - 5*n**4/3 = 0? -5, 0 Factor -6*s**4 - 268*s**3 - 176*s**2. -2*s**2*(s + 44)*(3*s + 2) Let 3*n**3 + 2667*n**2 + 594072*n + 591408 = 0. Calculate n. -444, -1 Let -3*i**4 + 81*i**3 - 411*i**2 - 1845*i - 1350 = 0. Calculate i. -2, -1, 15 Find u, given that -7*u**4/11 - 149*u**3/11 - 987*u**2/11 - 2195*u/11 - 50 = 0. -11, -5, -2/7 Solve 4*l**2 - 44*l = 0. 0, 11 Let f**5/8 + 5*f**4/8 + 7*f**3/8 - f**2/8 - f - 1/2 = 0. Calculate f. -2, -1, 1 Factor 5*t**2 - 10*t - 40. 5*(t - 4)*(t + 2) Factor -z**3/5 + 8*z**2/5 + 11*z/5 - 18/5. -(z - 9)*(z - 1)*(z + 2)/5 Determine l, given that 935*l**2 + 1860*l - 20 = 0. -2, 2/187 What is k in -2*k**5 + 156*k**4/5 - 476*k**3/5 - 376*k**2/5 + 486*k/5 + 44 = 0? -1, -2/5, 1, 5, 11 Factor 2*a**3 + 168*a**2 + 1800*a + 5184. 2*(a + 6)**2*(a + 72) Solve 3*a**3 + 138*a**2 - 147*a - 282 = 0 for a. -47, -1, 2 Find j such that j**2/3 - 4555*j/3 - 4556/3 = 0. -1, 4556 Let 4*v**3 - 88*v**2 + 212*v + 304 = 0. Calculate v. -1, 4, 19 Solve j**2 + 17*j - 18 = 0 for j. -18, 1 Suppose 2*l**5/3 - 16*l**4 + 296*l**3/3 - 124*l**2 - 298*l/3 + 140 = 0. Calculate l. -1, 1, 2, 7, 15 Solve t**5/6 + 2*t**4/3 + t**3/2 - 2*t**2/3 - 2*t/3 = 0 for t. -2, -1, 0, 1 What is g in 3*g**4 + 60*g**3 + 111*g**2 + 54*g = 0? -18, -1, 0 Factor -5*c**4 - 100*c**3 + 335*c**2 - 230*c. -5*c*(c - 2)*(c - 1)*(c + 23) Factor 825*k**2 - 5*k. 5*k*(165*k - 1) Factor 5*v**3 - 115*v**2 - 1200*v + 4500. 5*(v - 30)*(v - 3)*(v + 10) Factor -v**4 + 5*v**3 - 3*v**2 - 5*v + 4. -(v - 4)*(v - 1)**2*(v + 1) Factor 3*t**5/4 + 21*t**4/4 + 27*t**3/2 + 33*t**2/2 + 39*t/4 + 9/4. 3*(t + 1)**4*(t + 3)/4 Find u such that -2*u**5/11 + 16*u**4/11 + 100*u**3/11 - 1024*u**2/11 + 154*u - 784/11 = 0. -8, 1, 7 Find u, given that -25*u**4/2 + 205*u**3/2 - 220*u**2 + 40*u = 0. 0, 1/5, 4 Find d such that -d**2 + 6*d + 7 = 0. -1, 7 Factor -3*h**3 + 6*h**2 + 357*h - 1764. -3*(h - 7)**2*(h + 12) Factor 2*v**3/11 - 8*v**2/11 - 2*v/11 + 8/11. 2*(v - 4)*(v - 1)*(v + 1)/11 Find d, given that -4*d**4/7 - 40*d**3/7 + 148*d**2/7 - 104*d/7 = 0. -13, 0, 1, 2 Factor 4*y**4/3 + 8*y**3 - 84*y**2 - 1568*y/3. 4*y*(y - 8)*(y + 7)**2/3 Solve 3*u**5/5 - 66*u**4/5 + 459*u**3/5 - 816*u**2/5 - 1344*u/5 = 0 for u. -1, 0, 7, 8 Let -n**5 - 15*n**4 - 67*n**3 - 129*n**2 - 112*n - 36 = 0. Calculate n. -9, -2, -1 Factor -s**3/4 - 147*s**2/2 - 5475*s - 10658. -(s + 2)*(s + 146)**2/4 Determine v, given that -4*v**4 - 132*v**3 + 736*v**2 - 912*v = 0. -38, 0, 2, 3 Find z, given that 30*z**4 + 65*z**3 - 20*z**2 - 65*z - 10 = 0. -2, -1, -1/6, 1 Factor 4*x**3 - 1444*x**2 + 4304*x - 2864. 4*(x - 358)*(x - 2)*(x - 1) Find h, given that -h**2/2 - 26*h - 338 = 0. -26 Factor i**2 + 560*i + 78400. (i + 280)**2 Determine a so that a**4/3 + 5*a**3 + 46*a**2/3 - 32*a - 128/3 = 0. -8, -1, 2 Determine b so that b**2 + 3242*b + 2627641 = 0. -1621 Suppose -p**3/2 - 14*p**2 - 50*p - 48 = 0. Calculate p. -24, -2 Factor -5*t**2 + 2960*t - 17580. -5*(t - 586)*(t - 6) Factor 2*y**4/7 - 32*y**3/7 - 10*y**2 - 36*y/7. 2*y*(y - 18)*(y + 1)**2/7 Solve -3*x**3 - 123*x**2 - 237*x - 117 = 0. -39, -1 Factor 193*l**2 - 963*l - 10. (l - 5)*(193*l + 2) Suppose 441*f**5 - 1365*f**4 - 3842*f**3 - 1830*f**2 + 201*f - 5 = 0. Calculate f. -1, 1/21, 5 Suppose -w**4 + 7*w**3 - 18*w**2 + 20*w - 8 = 0. What is w? 1, 2 Suppose h**4/6 - 73*h**3/3 + 72*h**2 - 215*h/3 + 143/6 = 0. Calculate h. 1, 143 Let -20*k**5 - 408*k**4 + 3512*k**3 - 1536*k**2 - 3492*k + 1944 = 0. What is k? -27, -1, 3/5, 1, 6 Determine w, given that -50*w**2 + 35*w + 15 = 0. -3/10, 1 Factor 3*y**3 - 3*y. 3*y*(y - 1)*(y + 1) Let f**4/2 + 35*f**3 + 102*f**2 + 101*f + 67/2 = 0. What is f? -67, -1 Let -34*g**3/19 + 30*g**2/19 + 208*g/19 + 24/19 = 0. Calculate g. -2, -2/17, 3 What is l in 3*l**2/5 - 267*l/5 + 1134 = 0? 35, 54 Factor -x**2 - 2*x + 35. -(x - 5)*(x + 7) Factor c**3/5 - 2*c**2. c**2*(c - 10)/5 Factor 4*n**4 + 180*n**3 - 1284*n**2 - 3092*n - 1632. 4*(n - 8)*(n + 1)**2*(n + 51) Factor -d**4/2 + 7*d**3 - 30*d**2 + 52*d - 32. -(d - 8)*(d - 2)**3/2 Factor -3*s**3/8 - 27*s**2/2. -3*s**2*(s + 36)/8 Determine l so that -4*l**4 + 8*l**3 + 20*l**2 - 24*l = 0. -2, 0, 1, 3 Factor -2*v**4/15 - 1696*v**3/15 - 122644*v**2/5 - 710624*v/3 - 1755610/3. -2*(v + 5)**2*(v + 419)**2/15 Let 2*u**4 - 10*u**3 - 6*u**2 + 90*u - 108 = 0. Calculate u. -3, 2, 3 Solve -i**4/8 + 5*i**3/4 + 23*i**2/8 + 3*i/2 = 0. -1, 0, 12 Solve j**2/4 - 69*j/2 + 134 = 0 for j. 4, 134 Factor -9*q**4/4 + 4269*q**3/4 - 506943*q**2/4 + 168507*q/4. -3*q*(q - 237)**2*(3*q - 1)/4 Determine p, given that 4*p**2 - 51976*p + 168844036 = 0. 6497 Factor d**2/3 - 16*d/3 - 19. (d - 19)*(d + 3)/3 Factor -2*v**2/3 - 292*v/3 - 290/3. -2*(v + 1)*(v + 145)/3 Solve -6*s**2/5 - 772*s/5 + 258/5 = 0. -129, 1/3 Factor 28*x**3 - 1140*x**2 + 8912*x + 2640. 4*(x - 30)*(x - 11)*(7*x + 2) Let -4*f**4 - 52*f**3 - 188*f**2 - 236*f - 96 = 0. What is f? -8, -3, -1 Let -45*s**3/2 - 291*s**2/4 - 243*s/4 - 21/2 = 0. Calculate s. -2, -1, -7/30 Suppose -2*h**3/11 - 168*h**2/11 - 3528*h/11 = 0. What is h? -42, 0 Factor g**5/7 + 54*g**4/7 + 104*g**3/7 - 2*g**2/7 - 15*g - 52/7. (g - 1)*(g + 1)**3*(g + 52)/7 Factor 2*f**2/5 - 178*f + 888/5. 2*(f - 444)*(f - 1)/5 What is u in -2*u**3/3 + 80*u**2/3 + 86*u/3 - 164/3 = 0? -2, 1, 41 Factor a**2 + 1662*a + 690561. (a + 831)**2 Factor g**3 + 439*g**2 - 881*g + 441. (g - 1)**2*(g + 441) Suppose -4*a**3 - 176*a**2 + 2544*a - 8064 = 0. What is a? -56, 6 Factor -4*z**4 + 84*z**3 + 92*z**2 - 84*z - 88. -4*(z - 22)*(z - 1)*(z + 1)**2 Factor 3*h**3/2 + 39*h**2 + 213*h/2 + 69. 3*(h + 1)*(h + 2)*(h + 23)/2 What is x in 5*x**5 - 60*x**4 - 70*x**3 + 60*x**2 + 65*x = 0? -1, 0, 1, 13 Factor -2*g**3 + 38*g**2. -2*g**2*(g - 19) Factor b**4 - b**3 - 21*b**2 + 45*b. b*(b - 3)**2*(b + 5) Factor q**3 + 55*q**2. q**2*(q + 55) Factor j**2/2 + 20*j + 72. (j + 4)*(j + 36)/2 Factor -r**2 + 55*r + 114. -(r - 57)*(r + 2) Factor 3*i**2/5 + 87*i/5 - 18. 3*(i - 1)*(i + 30)/5 Factor -4*u**2 + 244*u + 3168. -4*(u - 72)*(u + 11) Factor 3*z**2/5 + 69*z/5 - 810. 3*(z - 27)*(z + 50)/5 Find f, given that 3*f**4/2 + 147*f**3 - 303*f**2/2 - 297*f = 0. -99, -1, 0, 2 Factor b**4/5 + 4*b**3/5 + b**2 + 2*b/5. b*(b + 1)**2*(b + 2)/5 Suppose -b**2 + 385*b - 3016 = 0. What is b? 8, 377 Factor -4*w**4 - 104*w**3 - 516*w**2 - 720*w. -4*w*(w + 3)**2*(w + 20) Factor -3*s**4/5 + 282*s**3/5 - 8928*s**2/5 + 98022*s/5 - 89373/5. -3*(s - 31)**3*(s - 1)/5 Factor 44*n**4 - 40*n**3 - 52*n**2 + 48*n. 4*n*(n - 1)**2*(11*n + 12) Factor x**3/3 + 6*x**2 + 15*x. x*(x + 3)*(x + 15)/3 What is z in -25*z**5/4 - 285*z**4/4 - 961*z**3/4 - 951*z**2/4 - 137*z/2 - 6 = 0? -6, -4, -1, -1/5 Suppose -2*w**2/15 - 74*w/15 - 572/15 = 0. What is w? -26, -11 Let 2*k**3/9 + 10*k**2/3 - 52*k + 800/9 = 0. Calculate k. -25, 2, 8 Let -32*p**3 + 912*p**2 - 450*p + 56 = 0. What is p? 1/4, 28 Factor -2*b**4/3 - 10*b**3/3 + 16*b**2/3 + 8*b. -2*b*(b - 2)*(b + 1)*(b + 6)/3 Factor 5*s**3 + 920*s**2. 5*s**2*(s + 184) Factor -k**2/3 - 52*k/3. -k*(k + 52)/3 Suppose -2*z**2 - 444*z + 896 = 0. What is z? -224, 2 Factor -3*x**3 + 13*x**2 - 35*x/4 - 25/2. -(2*x - 5)**2*(3*x + 2)/4 Solve 6*g**4 + 2*g**3 - 38*g**2 - 58*g - 24 = 0 for g. -4/3, -1, 3 Factor 4*n**3 + 8*n**2 - 60*n - 144. 4*(n - 4)*(n + 3)**2 Factor -2*q**2/5 - 48*q/5 - 46/5. -2*(q + 1)*(q + 23)/5 Factor -2*p**2/11 + 16*p/11. -2*p*(p - 8)/11 Factor 2*j**3/3 - 2*j**2 - 308*j/3. 2*j*(j - 14)*(j + 11)/3 Determine b, given that 4*b**3/3 + 16*b**2 + 48*b + 128/3 = 0. -8, -2 Factor 6*r**2/7 + 34*r/3 + 184/7. 2*(r + 3)*(9*r + 92)/21 Determine q so that -q**2/2 + 418*q - 835/2 = 0. 1, 835 Factor 5*w**2 - 11830*w + 6997445. 5*(w - 1183)**2 Suppose 3*c**3/4 - 15*c**2/8 - 33*c/8 - 3/2 = 0. What is c? -1, -1/2, 4 Factor -k**4/2 + 27*k**3/2 - 75*k**2/2 + 73*k/2 - 12. -(k - 24)*(k - 1)**3/2 Let -3*p**5 - 402*p**4 - 12642*p**3 + 55068*p**2 - 70587*p + 28566 = 0. What is p? -69, 1, 2 Factor -361*z**3/2 - 95*z**2 + 434*z - 196. -(z + 2)*(19*z - 14)**2/2 Determine s, given that -2*s**2 - 628*s + 630 = 0. -315, 1 Suppose -
{ "pile_set_name": "DM Mathematics" }
0*m**3 Let w be 4 - 3 - (0 + 1). Let x be (w - (-3)/(-6))*-2. Differentiate x + 0 + 3*p**4 + 1 with respect to p. 12*p**3 Let g(i) be the third derivative of i**7/30 - i**4/3 + 7*i**2. Find the second derivative of g(v) wrt v. 84*v**2 Let h(i) be the second derivative of 2/3*i**4 + 0*i**5 + 1/6*i**6 + 0*i**3 - 5*i + 0*i**2 + 0. What is the third derivative of h(j) wrt j? 120*j Let n(r) = r**3 + 5*r**2 + 2*r - 4. Let g be n(-4). Find the first derivative of -4 + g + 6*d**4 - 3 + d**4 wrt d. 28*d**3 Suppose h - 6*h = 0. Let d(m) be the first derivative of 0*m + 1/5*m**5 + 0*m**4 + 1/2*m**2 + h*m**3 - 1. What is the second derivative of d(n) wrt n? 12*n**2 Let r(y) be the second derivative of 1/4*y**4 - 2*y + 0*y**2 + 0 + 0*y**3 + 0*y**5 + 1/15*y**6. Find the third derivative of r(l) wrt l. 48*l Differentiate 0*l**4 - 2*l**4 + 14 + 2*l**4 - l**4 wrt l. -4*l**3 Let t(n) be the third derivative of -11*n**6/120 - 13*n**3/6 + 12*n**2. What is the first derivative of t(l) wrt l? -33*l**2 Let h(l) be the third derivative of 0*l - 5/3*l**3 + 0 + 3/8*l**4 - 10*l**2. What is the first derivative of h(n) wrt n? 9 Suppose 0 = 5*h - 2*f, 3 - 16 = -4*h - f. What is the third derivative of -4*x**h - 3*x**5 - x**2 + 8*x**5 wrt x? 300*x**2 Differentiate -188 - 3*f + 11*f + 182 wrt f. 8 Find the second derivative of 8*k - 25*k**3 - 19*k - 22*k wrt k. -150*k Differentiate w - 32 + 81*w**3 - 10 - 97*w**3 wrt w. -48*w**2 + 1 Let t(i) = 7*i**2 + 2*i + 6. Let p(d) = 21*d**2 + 6*d + 17. Let j(z) = 6*p(z) - 17*t(z). Find the second derivative of j(b) wrt b. 14 Let y(f) be the first derivative of -23*f**3/3 + 22*f - 28. Find the first derivative of y(k) wrt k. -46*k Suppose 3*g - 31 - 20 = 0. What is the third derivative of -19*k**2 - g*k**2 - 6*k**5 + 41*k**2 wrt k? -360*k**2 Let i(o) be the second derivative of 0 + 0*o**3 - 9/2*o**2 - 3*o + 7/12*o**4. What is the derivative of i(s) wrt s? 14*s Let u be 3/(-2)*8/(-6). Suppose 0*r = u*r - 18. Let j(s) = -s**2 - 6. Let t(l) = -5*l**2 - 25. Let w(x) = r*j(x) - 2*t(x). What is the derivative of w(z) wrt z? 2*z Let t(d) be the second derivative of d**4 + 5*d**3/2 - 25*d. Find the second derivative of t(q) wrt q. 24 Suppose 5*y + 3 = 13. What is the third derivative of 6*c**6 + 3*c**2 - 4*c**y - 4*c**6 + 4*c**6 wrt c? 720*c**3 Let w(c) = -222*c**4 + 27*c**2 + 261*c. Let r(k) = -17*k**4 + 2*k**2 + 20*k. Let d(o) = -27*r(o) + 2*w(o). Find the second derivative of d(f) wrt f. 180*f**2 Let q(n) be the third derivative of 0*n - 3*n**2 + 0*n**5 + 5/6*n**3 + 1/210*n**7 + 0*n**6 + 0*n**4 + 0. What is the derivative of q(d) wrt d? 4*d**3 Let j be 3/(-3 + 9)*14. What is the third derivative of -9*c**5 - c**2 + j*c**5 - 2*c**2 wrt c? -120*c**2 Let g(t) = 19*t**2 + 2*t - 60. Let a(j) = -j**2 + j + 1. Let m(k) = 2*a(k) - g(k). What is the derivative of m(s) wrt s? -42*s Suppose 5*u = -3*z + 2, 5*z + 4*u - 10 = 2. Find the second derivative of 3*b**5 - z*b + 4*b + 2*b wrt b. 60*b**3 Let m(j) = -2*j**4 - 18*j. Let s(t) = t**4 + 19*t. Let g(b) = 5*m(b) + 4*s(b). What is the second derivative of g(z) wrt z? -72*z**2 Let y(u) be the third derivative of 0*u**7 + 0*u**6 + 0*u + 1/60*u**5 - 6*u**2 - 1/56*u**8 + 0*u**3 + 0*u**4 + 0. What is the third derivative of y(o) wrt o? -360*o**2 Let y(v) be the third derivative of -2*v**6/15 + v**4/24 - 17*v**2. What is the second derivative of y(a) wrt a? -96*a Let o(p) = -21*p**2 + 18. Let n(g) = -11*g**2 + 9. Let v(u) = -7*n(u) + 4*o(u). Differentiate v(w) wrt w. -14*w Suppose b = 6*b - 20. Find the second derivative of b*r**3 + 10*r**3 - 15*r - 8*r**3 + 5*r wrt r. 36*r Let y be 1*(-2)/4*0. Let t(i) be the first derivative of 0*i**3 + 0*i**4 - 1 - 1/2*i**2 + 1/6*i**6 + 0*i**5 + y*i. What is the second derivative of t(g) wrt g? 20*g**3 Let v(y) = -2*y - 4. Let p be v(-4). What is the second derivative of 2*m**4 + m**4 + 4*m - 2*m**p wrt m? 12*m**2 Let o(b) = -8*b**3 + 5*b**2 + 5*b - 3. Let g(a) = -a**2 - a. Let x(r) = -5*g(r) - o(r). What is the first derivative of x(v) wrt v? 24*v**2 Let j(q) be the first derivative of 37*q**5/5 - 26*q**3/3 - 4. What is the third derivative of j(u) wrt u? 888*u Let x = -9 + 11. Suppose 3*a - x*h = -5*h - 3, -3*h = 2*a + 3. What is the first derivative of a*i**3 - 7 + 4*i**3 + 8 - 4 wrt i? 12*i**2 Let k(y) = 21*y**6 + 4*y**5 - 2*y**2 + 1. Let l(x) = -41*x**6 - 7*x**5 + 4*x**2 - 3. Let a(c) = 5*k(c) + 3*l(c). Find the third derivative of a(q) wrt q. -2160*q**3 - 60*q**2 Let q(a) be the first derivative of -19*a**5/5 - 7*a + 18. What is the first derivative of q(f) wrt f? -76*f**3 Let q be 6/(2 + 0/2). Let j = q + -1. Find the second derivative of -b - j*b**5 + b + b wrt b. -40*b**3 Let b(l) = 6*l**2 - 6*l + 10. Let a(r) = -6*r**2 + 7*r - 11. Let v(k) = 6*a(k) + 7*b(k). Differentiate v(g) wrt g. 12*g Let a(d) = -4*d + 2 - 3*d**2 + 3*d + 2*d**2. Let m be a(0). Find the third derivative of f**m + 9*f**5 - 6*f**5 + 2*f**2 wrt f. 180*f**2 Let p(c) = -c**3 - c**2 - c. Let d(k) = 12*k**3 + 5*k**2 + 35*k. Let l(g) = d(g) + 5*p(g). Find the second derivative of l(q) wrt q. 42*q Find the third derivative of -10*p**2 - p**3 + 4*p**2 + 0*p**3 wrt p. -6 Let f(j) be the third derivative of -j**9/5040 + j**7/2520 + j**4/8 - j**2. Let p(n) be the second derivative of f(n). Find the third derivative of p(c) wrt c. -72*c Let t(l) = -l**3 - 11*l**2 + l + 14. Let n be t(-11). What is the second derivative of -13*j + 15*j**3 - 15*j**n + 5*j - 8*j**5 wrt j? -160*j**3 Let g(a) = a**3 - 11*a**2 + 10*a + 7. Let k be g(10). Differentiate -2 + 5*z**4 - k + 3 wrt z. 20*z**3 Let t(v) be the second derivative of -v**5/20 + v**4/3 - 6*v. What is the third derivative of t(u) wrt u? -6 Let c be (7/(7/4))/1. Find the third derivative of -6*u**2 + 0*u**c + 4*u**4 + 9*u**2 wrt u. 96*u Find the third derivative of 5*m**4 - 5*m**2 - 3*m**4 + 6*m**4 + m**2 wrt m. 192*m Let f(a) be the first derivative of a**9/1512 + a**6/120 + a**3 + 2. Let c(t) be the third derivative of f(t). What is the third derivative of c(o) wrt o? 120*o**2 Let t(j) be the second derivative of -2*j**3 + 3*j**2 - 11*j. Differentiate t(x) wrt x. -12 What is the third derivative of p**3 - p**3 + 13*p**4 - 5*p**2 + 7*p**2 wrt p? 312*p Let j = -10 + 6. Let c be (-11)/j + (-6)/8. Find the second derivative of 0*g**4 + 0*g**4 - c*g + 3*g + g**5 wrt g. 20*g**3 Find the first derivative of -10*k**2 + 7*k**2 + 14*k**2 + 17 wrt k. 22*k Let b(i) = 6*i**3 + 21*i**2 + 21*i + 180. Let h(m) = m**3 + 4*m**2 + 4*m + 36. Let v(l) = -4*b(l) + 21*h(l). What is the first derivative of v(j) wrt j? -9*j**2 Let z(n) = -55*n**3 + 4*n**2 + 4*n + 23. Let m(s) = -s**2 - s. Let h(b) = -4*m(b) - z(b). What is the derivative of h(i) wrt i? 165*i**2 Let q(g) be the second derivative of -7/6*g**3 + 0 - 8*g + 5/2*g**2. What is the derivative of q(v) wrt v? -7 Let t be 1/1 - (-5 - -3). Find the second derivative of 8*l**t - l**4 - 2*l - 8*l**3 + l wrt l. -12*l**2 Let z(r) be the second derivative of r**3/3 + r**2/2 - 4*r. Differentiate z(m) with respect to m. 2 Let m(p) be the first derivative of 7*p**5/60 + p**3 - 7*p**2/2 - 5. Let w(o) be the second derivative of m(o). Differentiate w(g) with respect to g. 14*g Suppose 4*g - 21 - 3 = 0. Let i(q) = q**2 - 25*q. Let t(y) = y**2 - 12*y. Let f(c) = g*i(c) - 13*t(c). What is the second derivative of f(m) wrt m? -14 Let q(d) = -d + 21. Let h be q(13). What is the derivative of 5*g**4 + h - 14 - 3*g**4 - 3*g**4 wrt g? -4*g**3 Let z(j) = -7*j**2 + 2. Let t be 2/5*(7 - -3). Let d(h) = 8*h**2 - 3. Let a(i) = t*d(i) + 5*z(i). Differentiate a(w) wrt w. -6*w Let j(l) be the first derivative of 3*l**4 + 4*l**3 - 4. What is the third derivative of j(k) wrt k? 72 Suppose -4 = -0*c - c. What is the third derivative of o**2 - c*o + o**5 + 4*o + 0*o wrt o? 60*o**2 Let o(i) = 10*i**3 - 6*i**2 + 7*i - 7. Let f(k) = 10*k**3 - 7*k**2 + 6*k - 6. Let z(c) = 7*f(c) - 6*o(c). What is the third derivative of z(t) wrt t? 60 Let p(y) = -y**3 + 5*y**2 - 4*y + 2. Let r be p(4). Differentiate -3*g**2 + 2*g**2 + 5*g**2 - 1 - r*g**2 with respect to g. 4*g Let q(j) = j**2 + 2*j. Let g be q(2). Let t = g - 5. Find the third derivative of 0*y**2 + y**3 - 5*y**t - 4*y**2 wrt y. -24 Let v(w) = -2*w**2 + 3*w + 28. Let f(m) = -m**2 + 2*m + 14. Let b(p) = 5*f
{ "pile_set_name": "DM Mathematics" }
and (-22*t - 57*t + 35*t)*(-t - 5 + 5)*(2*t + 2*t - 6*t). -88*t**3 Expand (-3 + 2*q + 3)*(-6*q + 2*q + 0*q) - 1 - q**2 + 1 + q**2 + q - q + (0 - 4 + 5)*(-2*q**2 + 0*q**2 + 0*q**2). -10*q**2 Expand ((-119 - 8*p**2 + 119)*(-4*p + 3*p + 2*p) + 0*p**3 + 3*p**3 - p**3)*(-5 - p + 2 + 10). 6*p**4 - 42*p**3 Expand (-6 + 1 + 3)*(-b**5 + 4*b**5 - 4*b**5) + (3*b**2 + 4*b**3 - 3*b**2)*(5 - 102*b**2 + 100*b**2 - 4 + 18*b). -6*b**5 + 72*b**4 + 4*b**3 Expand (7 - 5 + 0)*(596 - 596 + 38*v). 76*v Expand (0*v**2 - 4*v**2 + v**2)*(336 + 235 - 662). 273*v**2 Expand (-5 - 22*t + 5)*(t - 1 + 1)*(2*t**2 - 7*t**2 - t**2). 132*t**4 Expand 4*t**4 - 4*t**4 - 2*t**5 + (2 - 2 - 4*t**2)*(6*t - 63 + 63)*(2*t**2 - 2*t**2 - 5*t**2). 118*t**5 Expand -3*p**2 + 4*p**2 - 2*p**2 + 2*p**2 - 3*p**2 - p**2 + (-2*p + p + 0*p)*(3*p - 4*p + 2*p) + 0*p**2 + 3*p**2 - 2*p**2 + 0*p**2 - 5*p**2 + 3*p**2. -5*p**2 Expand (-5*o + 4*o - o)*(-93*o**2 + 241*o**2 + 74*o**2). -444*o**3 Expand 0*n**2 - n**2 + 4*n**2 + 21 + 8*n**2 - 21 + (-1 + n + 1)*(n - 2*n - n). 9*n**2 Expand (2*g + 124 + g - 5*g)*(-3 + 3 - g). 2*g**2 - 124*g Expand (-33*y + 88 - 88)*(-5 + 3 + 1) - 3*y + y + 7*y. 38*y Expand 0*s**4 + 12*s**4 - 2*s**4 + 2 - s**4 - 2 + (s**3 + 0 + 0)*(s - 4*s + 5*s) + 4*s**4 - s**4 - 5*s**4. 9*s**4 Expand (-2 - 2 + 2)*(3 - 4 + 0)*(337 - 167 - 192 + (0 - 1 + 3)*(-3 - 2 + 4))*(4 - 4 + s)*(-4 + 4 - 2*s). 96*s**2 Expand (r**3 + 6*r**3 - 6*r**3)*(2 + 2 - 2) - 4*r**3 - 2 + 2 + (-2*r**3 - r + r)*(3 + 1 - 2). -6*r**3 Expand (1 + 3 + 1)*(2*v - 3*v + 4*v)*((-1 - 2 + 4)*(0 + 2 + 0) + 4 - 3 - 3 - 2 - 2 + 3 + (-3 + 7 - 2)*(0 - 1 - 2) - 7 + 1 + 3). -150*v Expand (w + 3*w - w - 5*w - 4*w + w + w - w - 2*w + (-2 + 2 - 2*w)*(-3 + 0 + 4) - 1 + 1 - w)*(-3 + 8 + 0). -50*w Expand -2*s**4 - 3*s**4 + 6*s**4 + (2*s**3 - 4*s**3 + s**3)*(s - s - s) + (-2*s**3 - 1 + 1)*(64*s - 59*s + 16*s). -40*s**4 Expand (-3 + 5 + 3)*(-76*x - 2 + 2 - 74*x + 105*x). -225*x Expand -16*z - 45 + 45 + (-49*z - 9 + 27*z + 36*z)*(1 + 1 + 0). 12*z - 18 Expand (-4*i**2 + 5*i**2 + 5*i**2)*(-i + i**3 + i). 6*i**5 Expand (0*i - 8*i + 0*i)*(-i**2 - 8 + 9 + 1). 8*i**3 - 16*i Expand 0*s + 0*s - 8*s + (-13 + 6 - 23)*(s - 1 - 2 + 5). -38*s - 60 Expand (3*i - 3*i - i)*(67 + 15 + 66 + 29). -177*i Expand (-3*p + 2*p + 4*p)*(2*p**3 + 80*p**2 + 4 - 2 - 79*p**2). 6*p**4 + 3*p**3 + 6*p Expand (-2*p + p + 2*p)*((5 + 3 - 15)*(3 + 1 - 5) + 1 + 5 + 0)*(3 + 3 - 4). 26*p Expand (-2 + 0 + 1)*(-2*c**5 + 0*c**5 + 5*c**5) - 38*c**5 + 3*c**5 + 34*c**5. -4*c**5 Expand (4*j - 21*j - j)*(0 + 0 + 2*j**3) + 0*j**4 + 0*j**4 - 3*j**4. -39*j**4 Expand (3 + 2 - 4)*(-2 + 1 - 1)*(-7*l - 14 + 14)*(3*l**2 - 1417*l + 1422*l + 5*l**2). 112*l**3 + 70*l**2 Expand (-22 - 37 + 2)*(2*o**2 - 2*o**5 + o**5 - o**5). 114*o**5 - 114*o**2 Expand (-3*i**2 + 5*i**2 + 7 - 4*i**2)*(620*i - 620*i - 52*i**2). 104*i**4 - 364*i**2 Expand (-10*r - 3 + 3)*(2*r**3 + r**3 - 5*r**3) - 3*r**4 + 0*r**4 - r**4. 16*r**4 Expand (-15*d - 19*d + 12*d)*(-43*d**2 - 16 + 16). 946*d**3 Expand (3*y**2 + 3*y**2 - 2*y**2)*(-34*y**2 - 308 + 613 - 308). -136*y**4 - 12*y**2 Expand (2*v - 2*v + 2*v)*(0 - 5 + 1)*(-1 + 0 - 1). 16*v Expand (36 - 20 - 16 - 232*y)*(-8*y + 25*y - 7*y)*(2 + 0 + 0). -4640*y**2 Expand (4 + 1 - 6 + (7 - 1 - 14)*(-1 - 1 - 4))*(-2*t**2 + 0*t**2 + 0*t**2)*(-t + 3*t - 4*t). 188*t**3 Expand (-2 + 2 - 2)*(-11*b - 2*b + 9*b - 78*b**4). 156*b**4 + 8*b Expand (-1 + 1 + q**2 + (2*q - 3 + 3)*(-1 + 1 - 2*q))*(-q - 72*q - 8*q). 243*q**3 Expand (27 - 9 + 3)*(1 - 1 - n). -21*n Expand (u**3 + 0*u**3 + 0*u**3 - 5 + 5 + 2*u**3 + (4*u - u + 0*u)*(4*u**2 - 2*u**2 - 4*u**2))*(-13*u + 13*u - 12*u) + 2*u**2 - 2*u**2 + u**4. 37*u**4 Expand -3*x**3 - x**3 + 2*x**3 + 40 + 52 - 98 + 9*x**3 + (-3*x + 5*x - x)*(-3*x**2 - 3*x**2 + 5*x**2). 6*x**3 - 6 Expand (18 - 18 - 17*v)*(-11*v - 6*v**4 + 11*v). 102*v**5 Expand (2 - 3*d - 2)*(1 + 2*d**2 - 1)*(-4 + 0 + 2)*(0*d + d - 5*d). -48*d**4 Expand (-1 - 1 + 0)*(-12 - 9*v + 12)*(-9 + 1 + 15). 126*v Expand 59*s**4 - 58*s**4 + s**3 - 27*s**3 + (2*s - 2*s + s**4)*(0 + 0 - 1) + (-3*s**3 + 2*s**4 + 3*s**3)*(4 - 1 - 4) - 2*s**4 + 7*s**4 + 0*s**4. 3*s**4 - 26*s**3 Expand ((-3*s**2 + 2*s**2 + 13*s**2)*(3 - 4 - 1) + 5*s**2 + 0*s**2 - 4*s**2)*(-1 + 1 - 7*s - 2). 161*s**3 + 46*s**2 Expand (-d + 0 + 0)*((-d - d + d)*(3*d - 3*d - d) - 2801*d + 2801*d - 26*d**2). 25*d**3 Expand 0*u + 0*u + u**2 + (18 - 29 - 22)*(-2*u**2 + 3*u**2 + 4*u**2). -164*u**2 Expand (2 + 2*z**3 - 2)*(3*z - 3*z - z + 28). -2*z**4 + 56*z**3 Expand (1 + 0*u - 4*u + 3*u)*(-u + u + u + (-5 - 1 + 5)*(2*u + 3 - 3)). u**2 - u Expand ((-4 + 5 + 1)*(-2*h - 2*h + 5*h) - 6*h + 13*h + 4*h - 3*h - 2*h + 4*h)*(2*h + 3 - 3). 24*h**2 Expand (-2*s + s + 5*s)*(-3*s**2 - 2*s**3 + 3*s**2) - 3 - 22*s**4 + 58*s**4 + 1. 28*s**4 - 2 Expand (-3*u**2 + u**2 - 1 + 0*u**2)*(44 - 9 + 49). -168*u**2 - 84 Expand (-2*z + 3*z + z)*(-5*z + 2*z**3 + 5*z) - 5*z**2 - z**4 + 5*z**2 + 17 + 2*z**4 - z**2 - 17. 5*z**4 - z**2 Expand (-w + 0*w - w - 4*w + 2*w + 0*w + (0*w + 2*w + 0*w)*(2 + 1 - 4) - 2*w + 0*w + 3*w)*(4*w**2 + 11*w**2 - 5*w**2)*(-3*w + 2 - 2). 150*w**4 Expand 3*a + a - a + (0 - 1 - 1 + 4 - 1 - 2 + (-4 + 1 + 1)*(2 - 1 - 3))*(-2 + 1 - 1)*(-2 + 2 + 4*a). -21*a Expand (5*i - 5*i + 4*i**3 - 3*i**3 - 6*i**3 - 3*i**3 + (-i + 4*i - i)*(i**2 - 4*i**2 + 4*i**2))*(-4*i + 0*i + 5*i). -6*i**4 Expand ((-3*f**3 + 2*f**3 + 0*f**3)*(3 - 2 + 1) - 4*f**3 + 4*f**3 + 4*f**3 - 1 - 3*f**3 + 1)*(0*f + f - 3*f). 2*f**4 Expand (s + 1 - 1)*(-4*s**2 + s**2 + 0*s**2) - 14*s**2 - 35*s**3 + 2 + 22*s**3 + 15*s**3. -s**3 - 14*s**2 + 2 Expand (82*z - 82*z - 78*z**3)*(-1 + 2 - 2) + (z**2 + 0*z + 0*z)*(4*z + 2*z - 5*z) - 5*z - 2*z**3 + 5*z - z**3 - 2*z**3 + 2*z**3. 76*z**3 Expand t + 6*t - 5*t + (-50 - 81 + 0)*(-4*t + 0*t + 2*t) - 4*t + 2*t + 3*t. 265*t Expand h**2 - h**2 - 2*h**5 + (h + 3*h - 2*h)*(-1 + 1 + 2)*(780*h**4 - 385*h**4 - 439*h**4). -178*h**5 Expand (10*x - 2*x + 7*x)*(-25*x + 25*x + 5*x**2). 75*x**3 Expand (91 + 63 + 14 - 13)*(2*a - 2*a + 2*a**2). 310*a**2 Expand (4*k**2 - 2*k - 7 + 7 + (2 - 2*k - 2)*(2*k + k - 4*k))*(-313 + 81*k**2 + 313). 486*k**4 - 162*k**3 Expand -3 + w + 3 + (-w - 5*w + 5*w)*(-4 + 5 - 2) + 5*w - w - 2*w. 4*w Expand (-o - 3*o + 5*o)*(26 + 18 - 38). 6*o Expand (-6*m + 2*m + m)*(-4 + 2 + 1) + (-3 + 3 + m)*(0 - 4 + 5) + 3*m + 3*m - 4*m. 6*m Expand (1 + 2 - 5)*(-2*q + 5*q - 2*q) - 4*q - 3*q + 6*q - q - 2 + 2 + q - 1 + 1 - 2 + 2 - q - 93*q - 42*q - 136*q. -275*q Expand (2*s + 23 - 23)*(-4*s**4 + 2*s**4 + 0*s**4) - 3*s**5 - 3*s**5 + 2*s**5. -8*s**5 Expand ((-1 + 3 + 1)*(-p + p**2 + p) - 2*p**2 + p**2 + 5*p**2)*(-104*p + 50*p + 53*p - 2). -7*p**3 - 14*p**2 Expand (-33*m - 17*m + 25*m)*(2*m**2 - m**2 + 0*m**2) + (0*m**3 + 4*m**3 - 5*m**3)*(-1 - 2 + 2) - 2*m**3 + 5*m**3 + 0*m**3. -21*m**3 Expand (-7*o + 2*o + o)*(3 + 2*o**2 - 3) + 4*o - 4*o - 9*o**3. -17*o**3 Expand (10*i - 3*i + 8*i)*(4 - 1 - 4) - 4 + i + 4 + (3 - 5 + 3)*(i + 0*i - 3*i). -16*i Expand (5 - 5 + 2*h + (2 + 3 - 6)*(-2*h - h + h) - 5*h + 6*h + 0*h - h + 5*h - 5*h)*(-30*h**4 + 225*h - 225*h). -120*h**5 Expand (-2*i**2 - i + i)*(-88*i - 77*i + 68*i). 194*i**3 Expand -3*z + 2*z - 3*z + 171*z - 27*z + 69*z + 4*z + 3*z - 5*z + (2*z - 2*z + 2*z)*(1 - 1 + 2). 215*z Expand 3*a**5 + a**5 - 3*a**5 + (-a**5 - a**5 + 4*a**5)*(15 + 4 + 17). 73*a**5 Expand (-110*j**2 - 62*j**2 + 120*j**2)*(-j - 5*j + 4*j)*(-5*j - 6*j + 5*j). -624*j**4 Expand (-2*q**4 + q**4 - q**4)*(-92*q + 49*q + 50*q) + 2*q**5 - 2*q**5 + q**5. -13*q**5 Expand (-7 + 0 + 3)*(i + 2*i + 0*i)*(-34*i - 26*i + 14*i)*(2*i + 3 - 3). 1104*i**3 Expand (52 + 28 - 23)*(43*h - 43*h + h**2). 57*h**2 Expand (-k**2 + 8*k**2 - 3*k**2)*(-2*k + 4*k - 4*k) + (0 - 2 + 0)*(46*k**3 - 21*k**3 - 14*k**3). -30*k**3 Expand (4*a**3 - 4*a**3 + 4*a**5 + (-1 + 2 + 0)*(-a**5 + 3*a**5 - 4*a**5))*(-5 + 0 + 6)*(5 - 2 + 1). 8*a**5 Expand (3 - 3 + k)*(0*k - k + 2*k)*(56659 + 353*k - 56659)*(0 + 2*k + 0)*(-1 + 3 - 4*k + 2*k). -1412*k**5 + 1412*k**4 Expand 0*f**2 - 2*f**2 + 3*f**2 + (4*f + f**2 - 6*f - 3*f**2)*(-7 + 9 - 7) - 4*f + 4*f - f**2. 10*f**2 + 10*f Expand (0*n + 4*n - 5*n)*(4*n - 6*n + 0*n) - 236*n**2 + 217*n**2 + 3 - 2 - 4*n. -17*n**2 - 4*n + 1 Expand (-306*r - 886*r + 289*r)*(0 + 0 + 2*r**4). -1806*r**5 Expand (140 - 140 - 90*d)*(-2*d + 2*d + 2*d) + (0 - 2*d + 0)*(-1 - 2*d + 1) + 2
{ "pile_set_name": "DM Mathematics" }
029 + 3463.13. Let g = -7 + 5.5. Let v = g + r. What is v rounded to 4 decimal places? -0.0003 Let t(b) = 4*b. Let r be t(-1). Let s be 3 + 242*(-682)/r. Suppose -s - 6736 = 4*w. Round w to the nearest 1000. -12000 Let k = 311.5707 - 309.89. Let b = k - 1.67. Round b to 3 decimal places. 0.011 Suppose 0 = 2*j - 7*j + 52187315. Suppose 3*z - 10437458 = -n, n + 3*z + z = j. Let h = n - 14937443. Round h to the nearest one million. -5000000 Let d = 4.22 - 4.651. Let r = -0.001 - d. Round r to one dp. 0.4 Let y = 0.4 - 1.1. Let x = -0.2 - -0.3. Let v = x - y. Round v to one decimal place. 0.8 Let p(u) = -1 + 5 + 4 - 2611*u**2 - 2*u. Let b be p(6). What is b rounded to the nearest ten thousand? -90000 Suppose 1 = p - 0. Let q(l) = 3*l**3 - l**2 - l + 1. Let r be q(p). Suppose 2*k + 2*k - r*b = 19608, 12 = -3*b. Round k to the nearest one thousand. 5000 Let s be 23399998/(-6) - 7/21. Round s to the nearest 1000000. -4000000 Let f be (-3)/(30/(-4))*15. Let n(w) = 5278*w**2 - 8. Let r be n(f). What is r rounded to the nearest 100000? 200000 Let b = -0.01 + -0.31. What is b rounded to one decimal place? -0.3 Let r = 32.021 - 32. Let z = r + 0.759. Round z to one decimal place. 0.8 Let w = -1.9899899 - -1.99. Round w to six decimal places. 0.00001 Let y = 8267766 + -4187762. Suppose 0*b + b = 3*v - 1020012, 4*b + y = v. Round b to the nearest one hundred thousand. -1000000 Let u = -1182049 + 1182043.40029. Let n = u + 5.6. Round n to four decimal places. 0.0003 Let m = 307 - 164. Suppose -4*r = -y + m, 5*y + 4*r = 604 - 9. Let q = 83 - y. Round q to the nearest 100. 0 Suppose 0 = 4*k + 3*o - 13, -o + 10 = 4*k - 5. Suppose -5*c + 3*f - 19 = 0, 4*f - 7 = -k*c - 35. Let l be ((-132)/c)/((-3)/(-10)). Round l to the nearest ten. 90 Let a be ((-800)/(-3))/(184499/61500 + -3). Round a to the nearest one million. -16000000 Let t = 2384758.9947 + -2384884. Let d = -122.3 + -2.7. Let f = t - d. What is f rounded to three decimal places? -0.005 Suppose d - 4*t + 5*t = 144987, 2*d - 4*t - 289962 = 0. Suppose -l - d = -5*n, 3*l + 0*n + 435003 = -n. What is l rounded to the nearest 10000? -150000 Let x(a) = 330579*a + 123079*a + 796342*a. Let i be x(4). Suppose -4*t - i = -3*t. Round t to the nearest one million. -5000000 Let m = -445 + 769. Let g(f) = 5*f - 21. Let k be g(5). Suppose v - k*v = -m. What is v rounded to the nearest ten? 110 Suppose 2 = -d + 1, 3*d + 38636399 = -4*v. Let s = -4059099 - v. Round s to the nearest 1000000. 6000000 Let c = 0.7083301 + -0.1083375. Let q = 0.6 - c. What is q rounded to six dps? 0.000007 Let p = 92 - 103.3. Let l = p - -10.61. Round l to 1 decimal place. -0.7 Suppose -5*w + 60003 + 9997 = 0. Round w to the nearest 100000. 0 Let w = -55 + 7. Let o = w - -46.1. What is o rounded to zero decimal places? -2 Let y = -68.8 + 7.8. Let o = 61.00061 + y. Round o to four decimal places. 0.0006 Suppose -7*f - 6 = -4*f. Let t be 699 + (-2)/f*1. Round t to the nearest one thousand. 1000 Let r = 16.483 - -0.017. Let n = r - 16.5000099. What is n rounded to six decimal places? -0.00001 Let t = 386160877.039 - 380869257.03869. Let l = t - 5291664. Let g = 44 + l. What is g rounded to 4 dps? 0.0003 Let p = -38 + 78. Let r = -40.0061 + p. What is r rounded to 3 decimal places? -0.006 Let k be 1*-2 - (1 - -5). Let b(p) = -p**3 - 8*p**2 - 6*p. Let q be b(k). Round q to the nearest ten. 50 Let k = -65.5 + -0.6. Round k to the nearest 10. -70 Let w = 21.43081 + -0.36981. Let m = w + -21. What is m rounded to 2 dps? 0.06 Let j be 8/32 + 70/8. Let z = j - 5. Suppose z*s = -0*s - 19200. What is s rounded to the nearest 1000? -5000 Suppose 5*w = 4*o - 1679, -3*o + w = -5*o + 857. Suppose 2*t + 0*t = o. Suppose i + t = j + 26, 3*j + 2*i = 576. What is j rounded to the nearest 100? 200 Suppose -282000004 = -5*w - 3*x + 7*x, 3*x - 169199997 = -3*w. Suppose c = -3*c + w. Round c to the nearest one million. 14000000 Let p = -313.7620351 - -359.762033. Let j = p + -46. What is j rounded to six decimal places? -0.000002 Let i = -349104 - -349111.80148. Let j = i - 7.8. Round j to 4 dps. 0.0015 Suppose -2*p + 6*p - 9930004 = 3*x, -p = 5*x + 16549999. What is x rounded to the nearest 100000? -3300000 Let z = -51 + 51.000069. What is z rounded to five decimal places? 0.00007 Suppose 5*i = -4*w - 57, -i + 12 = -4*w + 3*i. Let k be (5 + 0)*(w + 1). What is k rounded to the nearest 10? -40 Let c be -1*(2 - -1*4). Let i be (-178 + 1)*(-4)/c. Let g be (2 - (2 - -2)) + i. What is g rounded to the nearest one hundred? -100 Suppose x + 9 = 2*x. Let u(j) = 649617*j - 10. Let p be u(x). Let m = p + -746543. What is m rounded to the nearest one million? 5000000 Let o = 4.170299 + -36.169609. Let q = -32 - o. What is q rounded to 4 dps? -0.0007 Suppose -1 = -5*q - 6. Let d(c) = 1 - 6301*c**2 - 13*c + 13*c. Let o be d(q). Round o to the nearest one thousand. -6000 Let a = -8 - -6. Let f = 5 + a. Suppose 0 = -3*k + k + f*p + 16006, 4*k = -4*p + 31992. What is k rounded to the nearest ten thousand? 10000 Let a = -1.03 + -2.15. What is a rounded to one dp? -3.2 Let v(t) = -6*t - 8. Suppose r - 2*r = -7. Let q be v(r). Round q to the nearest 100. -100 Let z = 2.730429 + -2.73. What is z rounded to five decimal places? 0.00043 Let r = -122998 - -59998. What is r rounded to the nearest ten thousand? -60000 Let a = -11 + 5. Let f = a + 4. Let x = 2.0000042 + f. Round x to 6 decimal places. 0.000004 Let k = 60.109 + -60. Let p = -5.791 - k. Let u = p + 6. Round u to the nearest integer. 0 Let h = 0.89 + -1.79. Let r = -3337718 - -3337717.0999996. Let j = r - h. What is j rounded to 7 decimal places? -0.0000004 Let o = 0.18 - -0.14. Let z = o + -0.18. Let u = z - 0.1400115. Round u to 6 decimal places. -0.000012 Let w be ((-4)/(-6))/2*6. Suppose -w = q - 2*q. Suppose -q*v + 219484 = -1260516. Round v to the nearest one hundred thousand. 700000 Let r = 3.5 - 2. Let p = r + -1.4974. Round p to three dps. 0.003 Let j = 0.08927433 - 18.08913933. Let h = j + 18. Round h to 5 dps. 0.00014 Let z = -3.2 - -3.1942. Round z to three dps. -0.006 Let q be -1 - -1*3*10. Round q to the nearest 10. 30 Let l(q) = 5*q**2. Let w be l(-1). Suppose w*r - h = -1052, -3*h - 2*h = 5*r + 1040. What is r rounded to the nearest 100? -200 Suppose -j = -11674 - 8162. Let f = -6 + 8. Suppose f*l - 3636 = -j. Round l to the nearest one thousand. -8000 Let i = 2 + -79. Let r = -52 - i. Let z = -25.0000098 + r. Round z to 6 dps. -0.00001 Let u = -13.5 - -13.4939. Round u to 3 decimal places. -0.006 Let f be (1 + 0)*(1 + 2). Let r be 42/f*(3 + -1). Round r to the nearest 10. 30 Let s = 0.01 - 0.01000016. What is s rounded to 7 decimal places? -0.0000002 Let l = -5 + 5. Let n(z) be the third derivative of -z**4/24 - 100000*z**3/3 + 2*z**2. Let j be n(l). Round j to the nearest 1000000. 0 Let h = 0.06 - 0.505. What is h rounded to 1 decimal place? -0.4 Let o = 0.6 + -0.6. Let w = o + 0.07. Let h = -0.07003 + w. Round h to 4 dps. 0 Let x = 621425345 + -621425380.0000061. Let w = x + 35. What is w rounded to six decimal places? -0.000006 Let t = 93.9248 - 4.8478. Let r = -89 + t. What is r rounded to two dps? 0.08 Let o be 3/(-3)*(-5800)/(-1). Round o to the nearest 1000. -6000 Let m = 361.06 - 367. Let k = -6 - m. What is k rounded to 2 decimal places? -0.06 Let c = -32931 + 13476. Let h = -9855 - c. What is h rounded to the nearest 1000? 10000 Suppose -4*y = 3*k - 2799994, 3*y - 2100006 = k + 2*k. Round y to the nearest 1000000. 1000000 Let y = -0.28 - -0.3. Let c = -0.28 - y. Let l = 0.3000016 + c. What is l rounded to six dps? 0.000002 Let b be (0 - 3) + (4 - -278998) + 1. Round b to the nearest one hundred thousand. 300000 Let l = 0.02 - 18.02. Let b = l + 17.9999991. Round b to six decimal places. -0.000001 Suppose 9 = 5*m + 29, -m - 4 = -4*c. Suppose c = 5*a - 10 - 0. Suppose -k = 5, -2*t = a*t + 5*k + 3465. What is t rounded to the nearest 100? -900 Let n(s) = 4*s**2. Let z be n(-1). Suppose -4000 = z*m - 2*m. What is m rounded to the nearest 1000? -2000 Suppose 2*h - 4 = -0. Let c(f) = -4*f**2 + 7*f - 5 - 3*f**2 + 0*f**h + f**3. Let s be c(5). What is s rounded to the nearest one hundred? 0 Let v = -573013236267 - -573013236036.9819787582. Let z = v + 0.0179282418. Let s = z - -230. What is s rounded to f
{ "pile_set_name": "DM Mathematics" }
8? -24944695 What comes next: -132100, -132197, -132294? -132391 What is next in -17945, -35928, -53979, -72128, -90405, -108840, -127463? -146304 What is next in -1300, -2535, -3856, -5305, -6924? -8755 What is the next term in -393211, -786485, -1179819, -1573213, -1966667? -2360181 What is next in 3736, 14027, 31170, 55159, 85988? 123651 What is next in 12699, 12711, 12713, 12693, 12639, 12539, 12381, 12153? 11843 What comes next: -411044, -822076, -1233108? -1644140 What is next in -1846492, -3693032, -5539570, -7386106? -9232640 What is the next term in 24347, 24329, 24305, 24275, 24239? 24197 What comes next: 164882, 329748, 494614, 659480, 824346? 989212 What is next in 14594, 16748, 18892, 21020, 23126? 25204 What is the next term in -149643, -149649, -149655, -149661? -149667 What comes next: 68810065, 68810066, 68810067, 68810068, 68810069, 68810070? 68810071 What is the next term in 6084024, 6084016, 6084004, 6083988? 6083968 What comes next: -713, -1292, -2055, -3002, -4133, -5448? -6947 What is next in -1223330, -2446701, -3670070, -4893437, -6116802, -7340165? -8563526 What is next in 95534562, 95534559, 95534554, 95534547, 95534538, 95534527, 95534514? 95534499 What is next in 383, 3202, 10977, 26216, 51427, 89118, 141797? 211972 What comes next: -202684, -201970, -201256, -200542? -199828 What is next in -6609288, -13218570, -19827852? -26437134 What is the next term in 871911, 3487609, 7847107, 13950405, 21797503, 31388401? 42723099 What is the next term in -2150, -6289, -13188, -22847, -35266, -50445? -68384 What is next in -3304501, -6609027, -9913579, -13218163, -16522785? -19827451 What is next in 164, 1434, 4914, 11708, 22920, 39654, 63014, 94104? 134028 What is the next term in 53096, 106453, 159810, 213167? 266524 What comes next: 37, -639, -1763, -3335? -5355 What is next in -2632, -2675, -2694, -2677, -2612, -2487, -2290? -2009 What is the next term in -11619, -23420, -35221, -47022, -58823? -70624 What comes next: -422423, -423535, -424647, -425759, -426871, -427983? -429095 What is the next term in -15060417, -30120831, -45181245, -60241659, -75302073? -90362487 What comes next: 7, -104, -239, -410, -629, -908, -1259? -1694 What comes next: -54720, -219575, -494334, -878997, -1373564, -1978035? -2692410 What is next in -619733, -1239417, -1859101, -2478785, -3098469, -3718153? -4337837 What is next in -23261398, -23261400, -23261402? -23261404 What comes next: 3615, 29156, 98487, 233502, 456095, 788160? 1251591 What comes next: 2713, 5536, 8399, 11236, 13981? 16568 What is next in -440, 5032, 22334, 57382, 116092, 204380, 328162, 493354? 705872 What is the next term in -841267, -841265, -841263, -841261, -841259? -841257 What is the next term in 16240, 64767, 145630, 258817, 404316, 582115, 792202, 1034565? 1309192 What is next in 416048, 415944, 415838, 415730, 415620, 415508, 415394? 415278 What is the next term in -1106, -1345, -1670, -2081, -2578, -3161, -3830? -4585 What comes next: -1049082, -2098150, -3147218, -4196286, -5245354? -6294422 What is next in -1938, -1802, -1434, -720, 454, 2202, 4638? 7876 What is next in -80546171, -161092343, -241638515, -322184687? -402730859 What is next in 3348, 13468, 30346, 53982, 84376, 121528? 165438 What is next in 47204932, 94409861, 141614790? 188819719 What is next in -636, -721, -712, -567, -244? 299 What is next in 20506, 81912, 184258, 327544? 511770 What is the next term in -18839, -17815, -16115, -13745, -10711? -7019 What is next in -39826, -42243, -44612, -46927, -49182, -51371? -53488 What comes next: -17782802, -17782801, -17782800, -17782799, -17782798, -17782797? -17782796 What is the next term in 379171, 761352, 1143531, 1525708, 1907883, 2290056, 2672227? 3054396 What is next in 19724, 19701, 19662, 19607, 19536, 19449? 19346 What is next in -10922, -21825, -32756, -43727, -54750, -65837, -77000? -88251 What comes next: -33182, -33402, -33772, -34292? -34962 What comes next: 132861, 265798, 398733, 531666, 664597? 797526 What is next in -123947, -247896, -371845, -495794, -619743, -743692? -867641 What comes next: -18022, -35764, -53256, -70498, -87490, -104232? -120724 What is the next term in 43084, 43129, 43186, 43255, 43336, 43429? 43534 What comes next: -1682, -2391, -1926, 301, 4878, 12393, 23434? 38589 What comes next: 1043, -5219, -15647, -30235, -48977, -71867, -98899, -130067? -165365 What is next in -121050, -121107, -121212, -121371, -121590? -121875 What comes next: 1613068, 1612558, 1612048, 1611538, 1611028, 1610518? 1610008 What is next in 1899, 5294, 8689, 12084, 15479, 18874? 22269 What is the next term in -924, -866, -760, -606, -404, -154, 144? 490 What comes next: 579480, 1158957, 1738434? 2317911 What is next in 78070553, 78070558, 78070567, 78070580? 78070597 What is the next term in -7699610, -15399221, -23098832, -30798443, -38498054, -46197665? -53897276 What is the next term in -8968, -9009, -9116, -9325, -9672, -10193, -10924? -11901 What comes next: 538, 1171, 1902, 2737, 3682, 4743? 5926 What is next in -1980, -4775, -8376, -12783, -17996? -24015 What is the next term in -1900818, -3801065, -5701312, -7601559? -9501806 What comes next: 364665, 364518, 364371, 364224, 364077? 363930 What is next in 690818, 690821, 690822, 690821, 690818? 690813 What comes next: 1926644602, 1926644603, 1926644604, 1926644605? 1926644606 What is the next term in 308458753, 308458751, 308458747, 308458741, 308458733? 308458723 What comes next: 179395, 179100, 178815, 178546, 178299? 178080 What comes next: -2745, -1329, 1029, 4329, 8571, 13755, 19881? 26949 What comes next: 335203, 670768, 1006333? 1341898 What comes next: 4278, 8732, 13232, 17784, 22394, 27068? 31812 What is next in -1018815, -1018831, -1018847, -1018863, -1018879, -1018895? -1018911 What comes next: -11571, -26062, -40553, -55044, -69535? -84026 What is the next term in 4591895, 9183788, 13775681? 18367574 What comes next: -174826005, -349652012, -524478019, -699304026, -874130033? -1048956040 What is next in -44576, -89582, -135012, -180866? -227144 What comes next: 36267, 41197, 49413, 60915, 75703? 93777 What comes next: -887, -912, -967, -1064, -1215, -1432, -1727? -2112 What is next in -143, -517, -1107, -1919, -2959, -4233? -5747 What comes next: -2061, -494, 3761, 12048, 25711, 46094? 74541 What comes next: -1608, -9227, -29810, -69807, -135668? -233843 What comes next: 48026, 48057, 48110, 48185? 48282 What is next in -2296, -9155, -20566, -36529, -57044, -82111? -111730 What comes next: 31365, 27328, 23291, 19254? 15217 What is the next term in 129467, 517811, 1164965, 2070863, 3235439? 4658627 What is next in -503, 439, 4595, 13573, 28981? 52427 What is the next term in 1443, 3165, 4785, 6255, 7527? 8553 What comes next: -127784, -127783, -127782, -127781, -127780? -127779 What is next in -32036, -64062, -96042, -127952, -159768, -191466? -223022 What comes next: -2244600, -4489197, -6733794? -8978391 What is the next term in 24717, 49507, 74351, 99249, 124201? 149207 What comes next: 85750, 85742, 85728, 85708, 85682? 85650 What is next in -39104, -78186, -117274, -156368, -195468, -234574, -273686? -312804 What is next in -3667, -2917, -2147, -1357? -547 What is next in -16274, -16270, -16248, -16196, -16102, -15954, -15740, -15448? -15066 What is next in -43899084, -87798170, -131697256, -175596342? -219495428 What is the next term in 2717160, 2717159, 2717158, 2717157, 2717156, 2717155? 2717154 What comes next: -2014, -4099, -6320, -8677, -11170, -13799, -16564? -19465 What comes next: -99622, -99693, -99766, -99841? -99918 What comes next: -2347240, -2347239, -2347238? -2347237 What comes next: 15321282, 15321257, 15321232, 15321207, 15321182? 15321157 What is next in -2091114, -4181991, -6272630, -8363031? -10453194 What is next in -30358, -30217, -30076? -29935 What is next in -11625, -12095, -12569, -13047, -13529, -14015? -14505 What comes next: -11040, -11221, -11740, -12771, -14488, -17065, -20676, -25495? -31696 What comes next: -795470, -795492, -795514? -795536 What comes next: -446, -832, -1218, -1604? -1990 What comes next: 1879517, 3759101, 5638685, 7518269, 9397853, 11277437? 13157021 What is the next term in -278729, -557366, -835905, -1114346
{ "pile_set_name": "DM Mathematics" }
t ten thousand. 140000 Let f = 0.2293 + -1080.2293. Let v = 1080.0000005121 + f. Round v to 7 decimal places. 0.0000005 Let x(q) = -13*q + 5*q + q - 13*q + 126001*q**2. Let v be x(20). Suppose -7*z - v = -z. What is z rounded to the nearest 1000000? -8000000 Let u = -138.5 + 61.9. Let h = -72.33 - u. What is h rounded to 0 decimal places? 4 Let z = 0.199 - -362.801. Let y = z - 363.00000276. Round y to 7 decimal places. -0.0000028 Suppose 4*p - 20 = -g, 0*p - 2*p + 10 = -g. Suppose -u - 8*j + 3*j = 48300, -p*u - 4*j - 241500 = 0. What is u rounded to the nearest ten thousand? -50000 Suppose -r + d = 29937, 11*d - 29955 = r + 16*d. Round r to the nearest 1000. -30000 Let h = -0.285 - -132.285. Let y = -86 + h. Let v = y - 41.3. Round v to the nearest integer. 5 Let m be (-182)/21 + 4/(-3). Let c(r) = r**2 - 2 - 3*r - 3 + 9. Let w be c(m). What is w rounded to the nearest 10? 130 Let p(b) = -916*b**2 - 8 + 16995*b**2 + 21*b + 2297*b**2. Let d be p(11). Suppose -2*h = d - 743719. Round h to the nearest 100000. -700000 Suppose -6*i = -50236 - 3338. Let u = i - 3838. What is u rounded to the nearest 1000? 5000 Let k = -2.77 - 230.23. Let a = k - -233.000000164. Round a to 7 decimal places. 0.0000002 Let q = 0.02316 - -0.28387. What is q rounded to 3 dps? 0.307 Let g = -85.015 + 85. Let b = -90.015 - g. Let c = -89.9987 - b. Round c to three dps. 0.001 Let d = 38334 - 38532.29. Round d to 0 dps. -198 Suppose -4*f = s + 317, -7*f - 4*s = -4*f + 254. Let r = -75 - f. Suppose 3*q = 5*u - 188003, r*q - q - 150398 = -4*u. What is u rounded to the nearest 1000? 38000 Let t = 12.5 - -53.7. Let j = 93.9 + t. Let l = j - 169. Round l to zero decimal places. -9 Suppose 2*x + 47 = 47. Suppose -1262000 = -x*h + 2*h. What is h rounded to the nearest 10000? -630000 Let p = -77.7 + 102. Let h = -4.7 - p. Let v = h - -29.000000468. What is v rounded to seven dps? 0.0000005 Let g = 74.0326 - 81.832808. Let c = 969 + -961.2. Let t = c + g. What is t rounded to 5 dps? -0.00021 Suppose 11*r + r - 24 = 0. Suppose 5*s + 21879980 = r*t, -t + 22*s - 17*s + 10939980 = 0. Round t to the nearest 1000000. 11000000 Let f = 7663.4576 + -7672. Let t = 1.5414 + f. What is t rounded to 1 dp? -7 Let h = -0.07 - 0.02. Let o = h - 0.51. Let y = 0.5 + o. Round y to the nearest integer. 0 Let l = 1642 - 1641.421. Let c = 4.3 + -4.263. Let y = l + c. What is y rounded to one decimal place? 0.6 Let q = -0.067 - -0.047. Let m = 0.004 + q. Let h = m + 0.01595. Round h to 4 dps. -0.0001 Let t = -615.8429834916 + -0.1570312584. Let q = 616 + t. What is q rounded to 6 decimal places? -0.000015 Let j = -1997.4054587 - -0.3744587. Let o = 3.031 + j. Let d = o - -1913.7. What is d rounded to the nearest ten? -80 Let h = -242512 - -242402.987. Let f = -109 - h. What is f rounded to 2 decimal places? 0.01 Let c = -20290 - -20289.99983304. Round c to 4 dps. -0.0002 Suppose 5*z - 72 = -17. Suppose 3 = -o - z. Let f(r) = -r**2 - 11*r - 18. Let i be f(o). What is i rounded to the nearest ten? -60 Let t be -4*374540/(-128) + ((-18)/(-16))/(-3). What is t rounded to the nearest one thousand? 12000 Let f = -508.428 + 37.418. Round f to the nearest one hundred. -500 Let f = -64.24 - 60.98. What is f rounded to the nearest ten? -130 Let x = -9985.74 + 10070. Round x to zero decimal places. 84 Let d = -1.7 + 0.93. Let m = d + -63.23. Let f = m + 63.99999988. Round f to 7 decimal places. -0.0000001 Let y = 260.1054471 + -260.11. Round y to five dps. -0.00455 Suppose 4*i + 30842772 = -4*a, 3*i + 3*a + 23132081 = -a. Suppose 1337896 + 2492795 = m. Let r = i + m. What is r rounded to the nearest one million? -4000000 Let j = 178.60742 - 0.04042. Round j to the nearest 10. 180 Let c = -7559088.44 + 7559098.04000123. Let j = 9.507 + 0.093. Let l = j - c. Round l to seven decimal places. -0.0000012 Let p = 9235 + -9234.944434. Round p to 2 dps. 0.06 Let z = 3.112 - 3.10699. Round z to 3 decimal places. 0.005 Let y = 15172 + -15172.0002258. What is y rounded to four dps? -0.0002 Let u = -3140.30901 - -3142.28. Round u to one decimal place. 2 Let i = 0.2804 - -578.5196. Let b = 487 - i. Let y = b - -91.8000723. Round y to five decimal places. 0.00007 Let b be (-575944873)/(-635) + 1/5. Round b to the nearest one hundred thousand. 900000 Let r = 3.8919 - -365.2981. Let n = -368 + r. What is n rounded to the nearest integer? 1 Let s = 2.295 + 72.54. Let t = -0.165 - s. Let z = 74.9999916 + t. What is z rounded to 6 dps? -0.000008 Let p = 6200.6 - 6204.7507. What is p rounded to 1 dp? -4.2 Let c be ((-50)/(-4))/((-18)/(-36)). Suppose 5*a + 15 = -5*m, -m + c = -6*m. Suppose -a*b + 37 = 3*l, 0 = b + 1 - 0. What is l rounded to the nearest integer? 13 Let k = -189.9657 - -190. Let n = k - 0.033867. What is n rounded to five decimal places? 0.00043 Let c = 4.93347 - 0.49317. What is c rounded to the nearest integer? 4 Let z = -22.5066577 + 0.0529577. What is z rounded to one decimal place? -22.5 Let p(g) be the first derivative of -3077279*g**2 - 138*g - 34. Let n be p(-11). Round n to the nearest 1000000. 68000000 Let v(p) = -3*p**2 - 36*p + 41. Let h be v(-13). Suppose -h*m + 95575 = -5*d - 156435, -5*m = -4*d - 630008. Round m to the nearest 100000. 100000 Let p = 1552.78537 + 0.01463. Round p to the nearest 100. 1600 Let u = -2.3 + 2.196. Let o = -0.02 + u. Let x = -1.996 + o. Round x to one dp. -2.1 Suppose 164*m = 122142741030 - 22245421030. What is m rounded to the nearest one million? 609000000 Let i = 949127960.0007195 + -949130334. Let r = i - -2374. What is r rounded to four decimal places? 0.0007 Let f = -72 - -72.04. Let w = -5.36 - f. Let q = w + 5.399863. What is q rounded to 5 dps? -0.00014 Let h(g) = -2186*g**2 + 3*g + 14. Let k = 19 + -25. Let r be h(k). What is r rounded to the nearest one thousand? -79000 Let o = -0.68 + 0.6244. Let i = o - 23.1444. What is i rounded to the nearest 10? -20 Suppose -4*y + 21 = -3*y. Suppose -607266 = -4*l + 4*m + 116750, -5*l = 5*m - 904980. Suppose y*n - 11*n = -l. Round n to the nearest one thousand. -18000 Let a = 78 + -77.91. Let w = 0.08852 - a. What is w rounded to four dps? -0.0015 Let n = 9673.9999970789 - 9674. Round n to seven dps. -0.0000029 Let n(c) = 105049*c + 1. Let l be 4/(-6) + (-154)/(-33). Let o be n(l). Suppose 3*g + 749803 = -o. Round g to the nearest 100000. -400000 Let u = 21567.0176 + -21581. Let k = u + 14. What is k rounded to three dps? 0.018 Let h = 20.3120934 + -20.314. What is h rounded to 4 dps? -0.0019 Let z(t) = t**3 + 11*t**2 + 8*t - 12. Let i be z(-10). Let d be i/(-14)*(-455)/10. Let c be (3 + 1 + d)*270. Round c to the nearest 1000. 8000 Let j = -1426.0733 + -0.2267. Let t = -1426.247928 - j. Let l = 0.0533 - t. What is l rounded to four decimal places? 0.0012 Let p = 299.6612 - 314.03. Let s = 30.6354 - p. Let j = s + -45. Round j to 3 dps. 0.004 Let r = 108672284.000165 + -108672049. Let y = 235 - r. Round y to five dps. -0.00017 Suppose 69*o = -178*o. Suppose 0 = -3*x - 5*c + 2840, -x + 391 = -2*c - 563. Suppose r = -o*r + x. Round r to the nearest 100. 1000 Let d = -0.026157 - -1.079587. Round d to 2 decimal places. 1.05 Let y = 864.9673 + -0.8973. What is y rounded to the nearest 100? 900 Suppose -5*y - 369 = -n - 1285, -3*y + 547 = 2*n. Let q be (-122)/y + (-23516)/(-3) + 2. What is q rounded to the nearest one hundred? 7800 Let r = 0.693 + 16.067. Let o = r + -16.75999193. Round o to 6 dps. 0.000008 Let z = -36.165 + -781.395. What is z rounded to the nearest ten? -820 Let q = -150019.74 + 149998.640703. Let g = 21.1 + q. What is g rounded to 4 dps? 0.0007 Let s(o) = 7*o + 574. Let k be s(0). Suppose 0*i = 2*i - 4*n - k, -5*n - 1157 = -4*i. Round i to the nearest 100. 300 Let k = -1.196 + -14.32. What is k rounded to the nearest integer? -16 Let c = 37223126 - 37222844.99473. Let p = 281 - c. Round p to three decimal places. -0.005 Let x = 202.89 - 202. Let q = x - 0.39. Let z = 0.49981 - q. What is z rounded to four decimal places? -0.0002 Let c = -21.69177544 + -3.30822387. Let q = 11 - -14. Let t = c + q. What is t rounded to seven dps? 0.0000007 Let l = 54.4999994829 - 54.5. Round l to 7 dps. -0.0000005 Suppose 2*v + 9 - 13 = 0. Suppose -v*g = -6*g + 440040. Suppose c + 2*c - 109994 = s, 5*c + g = -s. Round s to the nea
{ "pile_set_name": "DM Mathematics" }
first derivative of h**3 - 2*h**2 + 2*h - 1. Suppose -6 = -6*w + 12. Let c be r(w). What is the highest common divisor of 17 and c? 17 Let z(q) = q**2 + 3. Let t be z(0). Suppose 18 = t*f - 15. Calculate the highest common divisor of f and 121. 11 Let y = 25 + -11. Let w(k) = k**3 + k**2 - 2*k - 1. Let q be w(-2). Let b be (y/(-2) + -2)/q. What is the highest common divisor of 9 and b? 9 Suppose 4*r + 4*u + 7 = r, 5*u = 5*r - 35. What is the greatest common factor of 1 and r? 1 Let d = -3 + -1. Let j(q) = 2*q**2 + 6*q + 1. Let a be j(d). What is the highest common factor of 6 and a? 3 Suppose n + 4 = 2*n, -5*y - 5*n = -50. Suppose 5*q = -3*u + 4*u - 11, 34 = 5*u - 4*q. What is the highest common divisor of u and y? 6 Let p = 25 + 19. Calculate the highest common divisor of p and 11. 11 Let l be 2/(14/(-16) + 1). Suppose -z + 24 = 2*z - 5*k, 2*k - 32 = -4*z. Calculate the greatest common divisor of z and l. 8 Let c = 21 + 39. What is the greatest common factor of c and 40? 20 Let r(s) = -4*s**2 + 6*s + 10. Let m(c) = -3*c**2 + 7*c + 11. Let l(v) = 3*m(v) - 2*r(v). Let g be l(10). Calculate the greatest common divisor of 6 and g. 3 Let w = 2 + 0. Suppose 0 = 3*n + 5*r + 9, 0 = 5*n - w*r - 2*r + 15. Let g be 15*(-3 + (-11)/n). Calculate the greatest common divisor of 2 and g. 2 Suppose -3*n = -4*k + k - 69, -2*k = -6. Calculate the greatest common factor of n and 65. 13 Suppose -o + 5*o = 56. Let d = -1 - -3. Let x be o - d - (2 - 1). Calculate the highest common factor of x and 33. 11 Suppose k - 1 = 5. Let w be k/12 - (-106)/4. Calculate the greatest common divisor of 81 and w. 27 Let u(w) = w**3 + 9*w**2 + 7*w - 4. Let p be u(-7). What is the highest common factor of p and 18? 9 Let n(y) = -y**2 - 7*y + 2. Let j be n(-6). Calculate the highest common factor of j and 16. 8 Let h be (-14)/(-2) + (1 - 4). Let j = 131 + -83. Let q be -3*(j/(-9))/4. Calculate the greatest common factor of h and q. 4 Suppose -2*u = 3*u - 25, -3*u + 3 = -3*t. Suppose 0 = -t*f + 49 + 143. What is the highest common factor of f and 24? 24 Suppose c - 2*c = -6. Suppose 0 = 2*g - c*g + 156. Let o = 57 + -31. Calculate the greatest common divisor of g and o. 13 Suppose 4*t + u + u - 8 = 0, -2*u = 2*t - 4. Suppose -5*a - t*r = -144, -2*a - 3*a + 2*r + 136 = 0. What is the highest common factor of 7 and a? 7 Let t be (-1)/2 + 21/2. Suppose -5*v - 100 = -4*j, 5*j = -2*v + 36 + 56. What is the highest common divisor of t and j? 10 Let g be 0 + (-12)/(-28) - 520/(-28). What is the greatest common factor of g and 1? 1 Let s(w) be the second derivative of -2*w**3/3 - 5*w**2 - 9*w. Let a be s(-6). What is the highest common factor of 14 and a? 14 Let n = -23 - -13. Let t be 24/n*40/(-3). Suppose l + 12 = t. Calculate the greatest common factor of l and 40. 20 Let m be (0 - 1)*6 + -3. Let k be (-1 + m)*5/(-10). What is the greatest common divisor of 55 and k? 5 Let g = -138 - -202. Calculate the greatest common divisor of g and 8. 8 Let o be (8/12)/(3/(-27)). Let b be (o/(-5))/(4/80). Calculate the greatest common divisor of 16 and b. 8 Let t(d) = -d**3 - 6*d**2 - 2*d - 1. Let q be t(-6). Calculate the greatest common divisor of q and 121. 11 Suppose 0 = -3*u + 55 + 47. Calculate the highest common divisor of u and 68. 34 Suppose -1 = -p + 4*u - 3, -3*u + 9 = 3*p. Suppose -20 = -4*h + p*o, 0 = 4*h - 5*h - 3*o + 5. What is the greatest common factor of h and 2? 1 Let l = -71 + 90. Let r(u) = -77*u - 1. Let b be r(-1). What is the greatest common divisor of b and l? 19 Suppose -2*c + 4*c = 16. Suppose -c*l = -4*l - 120. What is the greatest common factor of 12 and l? 6 Suppose -6*p - 2*p = -248. Calculate the highest common divisor of 31 and p. 31 Let q be ((-4)/(-5))/((-3)/(-330)). Let i = q - 52. Let a = -11 + 20. What is the greatest common factor of i and a? 9 Let b be (1/(-3))/(1/(-6)). Let a(d) = -b*d - 3 + 2*d**2 + 3*d - 2*d. Let j be a(3). What is the greatest common divisor of 132 and j? 12 Suppose -z = z + 12. Let x = 11 + z. Suppose -5*c = -0*c + x*w - 160, -2*c + 34 = -4*w. Calculate the highest common divisor of 18 and c. 9 Let g = 1182 + -832. Suppose -3*c + 4*t = -525, c - t - g = -c. Calculate the greatest common factor of 25 and c. 25 Let t(u) = u**2 + 2*u + 4. Let k be t(-2). Calculate the highest common factor of 68 and k. 4 Let k(c) = -c + 13. Let n be k(7). What is the highest common factor of n and 9? 3 Let v(o) be the second derivative of -3*o**3/2 - 2*o**2 - 3*o. Suppose -5*j - 21 = -1. Let b be v(j). Calculate the highest common divisor of 4 and b. 4 Let i = 13 + -6. Suppose 2*a - i*a + 150 = 0. What is the greatest common factor of a and 12? 6 Suppose w + 83 = 4*d, 5*d + 2*w + 27 - 134 = 0. Calculate the highest common factor of d and 63. 21 Suppose 3 = -h + 6. Let q be 2/(2/(0 - 2)). Let g = h - q. Calculate the greatest common factor of g and 35. 5 Let r(f) = 50*f**2 + f + 2. Let b be r(-2). What is the highest common factor of 25 and b? 25 Suppose -28 = 4*n + 2*v, -4*v = 4*n + v + 16. Let j be ((-60)/n)/((-6)/(-9)). Calculate the highest common divisor of 80 and j. 10 Let a be 2 + (-1 - 0) - -71. Calculate the highest common divisor of a and 48. 24 Suppose -386 - 236 = -2*u. Suppose t - 317 = -3*m + 4*m, -t + 4*m = -u. Calculate the highest common factor of 29 and t. 29 Suppose 0 = 2*g - 1 - 1. Suppose -2*s + g = -1. Let z be s/(-2) + 508/8. Calculate the highest common factor of 7 and z. 7 Let y be 4/22 - 555/(-33). What is the highest common divisor of y and 51? 17 Suppose -4*a = -2*a - 168. Suppose -5*n + 24 = n. Let j be 12/(((-8)/n)/(-2)). What is the greatest common factor of a and j? 12 Let d be (1*-3)/(2/(-4)). Suppose -2*x + d*x = 12. Let j(c) = -c**2 + 15*c - 13. Let h be j(14). Calculate the highest common divisor of h and x. 1 Suppose 3*d + 4*r - 393 + 13 = 0, 4*d - 536 = 2*r. Let u be d/10 - 2/10. Suppose -32 = -5*m + u. Calculate the highest common factor of 72 and m. 9 Suppose 12*i = 8*i + 3*b + 52, 3*i - 44 = b. Let s be (-1)/(-3) + 239/3. Calculate the greatest common divisor of s and i. 16 Let w be (1 + 2)*-16*21/(-14). Calculate the highest common divisor of 48 and w. 24 Let f be 5*(2 + (-12)/5). Let i be (2 - (-6)/f) + 25. Let q = 212 - 196. What is the highest common divisor of q and i? 8 Let h be 1 - 3 - -8 - -2. Suppose 3*m + 6 = -6, -2*m = x + 7. Calculate the greatest common divisor of h and x. 1 Let i(r) = 2*r**2. Let l be i(1). Let t(p) = 31*p + 2. Let h be t(l). Suppose 5*b - 84 = 4*s, b + b - 34 = 2*s. Calculate the highest common factor of h and b. 16 Let d be (16/(-2))/(-1*2). Let l(f) be the first derivative of 23*f**2/2 - 4*f - 1. Let w be l(d). What is the greatest common factor of w and 22? 22 Suppose -3*n - 5*r - 16 = 0, -4*n - 5*r - 12 - 1 = 0. What is the greatest common factor of n and 1? 1 Let a(j) = j**3 + 4*j**2 - 2*j - 7. Suppose 3*q - 4 = 4*q. Let k be a(q). What is the highest common divisor of 9 and k? 1 Suppose o = -t - 3, 3*o + 4*t + 4 = -8. Suppose -2*g - g - 157 = 5*q, -2*q - 3*g - 61 = o. Let l = 1 - q. What is the greatest common divisor of 22 and l? 11 Let w be 3/(-2)*(-12)/9. Calculate the highest common factor of w and 5. 1 Suppose 0*a = -5*a + 10. Suppose 5 = -i + 5*j, -2 = -a*i - j - 1. Suppose i*g = 2*g - 12. Calculate the greatest common divisor of g and 12. 6 Let o(y) = -y**2 - y + 27. Let v be o(0). Suppose -2*t + v = 5. Calculate the highest common factor of t and 88. 11 Let p be ((-96)/(-8))/((-2)/(-12)). What is the highest common factor of 9 and p? 9 Suppose 4*z - 88 = 104. What is the greatest common divisor of 6 and z? 6 Suppose i + 21 = 2*m - 41, i + 33 = m. Suppose 0 = 5*w + 4*q - 6*q - m, 2*w - 16 = 3*q. Suppose w*l - 29 = 26. Calculate the highest common factor of 33 and l. 11 Suppose 5*u - 4*b = -52, -3*u - 20 = 3*b - 5. Let v be (-16)/6*54/u. Calculate the greatest common factor of 9 and v. 9 Let r be (1 + (-3)/5)*30. Let f = -638 + 698. Calculate the highest common factor of r and f. 12 Let r(n) = 10*n**3 + n**2 - n + 1. Let s be r(1). Suppose -3*m = -4*m + s. Suppose 251 - 20 = 3*g. Calculate the highest common factor of g and m. 11 Let j be (-2)/(3 - (-1 + 5)). Suppose 3*t = 4*k - 71 + 8, -j*k + 45 = 3*t. What is the highest common factor of 9 and k? 9 Suppose 0 = -4*q - 0*
{ "pile_set_name": "DM Mathematics" }
tors of 268452336. 2, 3, 5592757 What are the prime factors of 501331983? 3, 101, 1654561 List the prime factors of 191024173. 191024173 What are the prime factors of 1171961516? 2, 11, 277, 96157 What are the prime factors of 248289485? 5, 23, 47, 71, 647 What are the prime factors of 263197093? 967, 272179 List the prime factors of 87238095. 3, 5, 7, 830839 List the prime factors of 55107014. 2, 101, 272807 What are the prime factors of 1479497177? 41, 3823, 9439 What are the prime factors of 383855698? 2, 223, 860663 What are the prime factors of 211678829? 19, 1613, 6907 What are the prime factors of 81056031? 3, 7, 107, 36073 List the prime factors of 76086568. 2, 1433, 6637 What are the prime factors of 455021536? 2, 53, 268291 List the prime factors of 2024890310. 2, 5, 202489031 List the prime factors of 1358573582. 2, 679286791 List the prime factors of 390876998. 2, 613, 318823 What are the prime factors of 1279273598? 2, 71, 9008969 What are the prime factors of 568823184? 2, 3, 3950161 What are the prime factors of 90408919? 43, 2102533 What are the prime factors of 44116497? 3, 101, 48533 What are the prime factors of 99452482? 2, 17, 1279, 2287 List the prime factors of 73657061. 73657061 What are the prime factors of 98203348? 2, 167, 147011 What are the prime factors of 4764832820? 2, 5, 11, 29, 746839 List the prime factors of 80735973. 3, 109, 246899 List the prime factors of 348078157. 7, 19, 2617129 List the prime factors of 5555118000. 2, 3, 5, 47, 19699 List the prime factors of 516210785. 5, 4373, 23609 What are the prime factors of 633004722? 2, 3, 7, 19, 79, 3347 List the prime factors of 1178742759. 3, 17293, 22721 List the prime factors of 250974945. 3, 5, 13, 429017 What are the prime factors of 19555521? 3, 6518507 What are the prime factors of 22493552? 2, 103, 13649 What are the prime factors of 1068191922? 2, 3, 7, 25433141 What are the prime factors of 6878073040? 2, 5, 8101, 10613 What are the prime factors of 2331825150? 2, 3, 5, 15545501 List the prime factors of 3479410021. 373, 1303, 7159 What are the prime factors of 325310049? 3, 1667, 21683 What are the prime factors of 35897496? 2, 3, 1223 List the prime factors of 388355396. 2, 11, 13, 678943 What are the prime factors of 75462341? 75462341 List the prime factors of 733898609. 733898609 List the prime factors of 604731632. 2, 31, 41, 131, 227 List the prime factors of 2160855035. 5, 432171007 What are the prime factors of 144718377? 3, 71, 659, 1031 List the prime factors of 1172279737. 1172279737 What are the prime factors of 1416216215? 5, 2837, 99839 What are the prime factors of 54404161? 7, 1110289 What are the prime factors of 54793129? 383, 143063 List the prime factors of 735464436. 2, 3, 7, 8755529 What are the prime factors of 3974933370? 2, 3, 5, 17, 23, 107, 3167 List the prime factors of 187487923. 7, 26783989 List the prime factors of 927986468. 2, 231996617 List the prime factors of 266447967. 3, 4951, 17939 What are the prime factors of 670857086? 2, 335428543 What are the prime factors of 1148248544? 2, 17, 2110751 List the prime factors of 929691186. 2, 3, 154948531 What are the prime factors of 1495586674? 2, 2777, 269281 List the prime factors of 34423852. 2, 8605963 What are the prime factors of 2609796105? 3, 5, 7, 18787 List the prime factors of 1106410843. 1106410843 What are the prime factors of 81842777? 17, 283193 What are the prime factors of 4812332271? 3, 1613, 994489 List the prime factors of 525605830. 2, 5, 17, 3091799 List the prime factors of 1386420708. 2, 3, 9371, 12329 List the prime factors of 966706907. 966706907 List the prime factors of 6932936528. 2, 7, 229, 270311 List the prime factors of 162451294. 2, 81225647 What are the prime factors of 206911284? 2, 3, 17, 59663 What are the prime factors of 763521348? 2, 3, 643, 98953 What are the prime factors of 330313157? 19, 127, 136889 List the prime factors of 1010496500. 2, 5, 13, 155461 What are the prime factors of 3202344102? 2, 3, 5051, 105667 What are the prime factors of 4983536? 2, 331, 941 What are the prime factors of 41122199? 569, 72271 List the prime factors of 206934031. 149, 1388819 List the prime factors of 555685664. 2, 17, 31, 83, 397 What are the prime factors of 38941434? 2, 3, 7, 309059 List the prime factors of 1837020589. 1837020589 What are the prime factors of 204737896? 2, 11, 2326567 What are the prime factors of 261193141? 11, 2158621 List the prime factors of 178167729. 3, 23, 131, 857 List the prime factors of 114649508. 2, 59, 167, 2909 What are the prime factors of 1915474243? 1915474243 List the prime factors of 4353452341. 7, 621921763 List the prime factors of 2247100985. 5, 449420197 List the prime factors of 118046583. 3, 227, 57781 List the prime factors of 661667318. 2, 13, 71, 227, 1579 What are the prime factors of 61914399? 3, 131, 157543 What are the prime factors of 42720756? 2, 3, 13, 53, 5167 List the prime factors of 38349528. 2, 3, 7, 53, 59, 73 What are the prime factors of 50417428? 2, 29, 149, 2917 List the prime factors of 4013460757. 4013460757 List the prime factors of 66736684. 2, 7, 41, 61, 953 List the prime factors of 5469876008. 2, 23, 29727587 List the prime factors of 123547221. 3, 7, 29, 22541 List the prime factors of 1119231272. 2, 139903909 What are the prime factors of 190502978? 2, 95251489 List the prime factors of 155698627. 7, 37, 157, 547 List the prime factors of 35606506. 2, 13, 37, 37013 List the prime factors of 834433514. 2, 23, 18139859 What are the prime factors of 3067994630? 2, 5, 929, 330247 What are the prime factors of 2611485844? 2, 11, 29, 577, 3547 What are the prime factors of 11836469? 11836469 List the prime factors of 692809653. 3, 17, 2269, 5987 List the prime factors of 73542705. 3, 5, 107, 45821 List the prime factors of 3676401906. 2, 3, 612733651 What are the prime factors of 2617914960? 2, 3, 5, 59, 61627 List the prime factors of 3819088576. 2, 293, 203663 What are the prime factors of 134784818? 2, 7, 113, 85199 List the prime factors of 376749928. 2, 59, 798199 What are the prime factors of 133923594? 2, 3, 7, 3188657 List the prime factors of 6051813986. 2, 17, 31, 5741759 List the prime factors of 537594804. 2, 3, 14933189 What are the prime factors of 136507591? 11, 73, 139, 1223 What are the prime factors of 672203109? 3, 19, 109, 108193 What are the prime factors of 47765837? 7, 157, 887 What are the prime factors of 1970358638? 2, 139, 227, 31223 What are the prime factors of 207719604? 2, 3, 401, 14389 What are the prime factors of 23162211? 3, 17, 47, 3221 List the prime factors of 2213310966. 2, 3, 368885161 List the prime factors of 5822629754. 2, 199, 14629723 List the prime factors of 75833923. 11, 17, 405529 List the prime factors of 37204683. 3, 47, 263863 What are the prime factors of 202225030? 2, 5, 7, 17, 169937 What are the prime factors of 134919734? 2, 67459867 List the prime factors of 195814721. 17, 139, 173, 479 What are the prime factors of 459409598? 2, 17, 13512047 List the prime factors of 20505939. 3, 6835313 What are the prime factors of 1713816842? 2, 491, 1745231 What are the prime factors of 7228792213? 29, 249268697 What are the prime factors of 2409718386? 2, 3, 6343, 63317 What are the prime factors of 15479179? 139, 193, 577 List the prime factors of 21276281. 13, 1636637 What are the prime factors of 1626455616? 2, 3, 2333, 3631 List the prime factors of 65230955. 5, 17, 767423 List the prime factors of 75182152. 2, 29, 367, 883 What are the prime factors of 408425222? 2, 137, 1490603 What are the prime factors of 1395931517? 3041, 459037 What are the prime factors of 159823345? 5, 11, 19, 152941 What are the prime factors of 1818443439? 3, 41, 547559 What are the prime factors of 71496906? 2, 3, 13, 67, 13681 What are the prime factors of 315997231? 11, 919, 31259 List the prime factors of 78705588. 2, 3, 13, 504523 List the prime factors of 419482840. 2, 5, 7, 1498153 List the prime factors of 483651301. 7, 353, 195731 List the prime factors of 147703584. 2, 3, 7, 219797 What are the prime factors of 255278283? 3, 13, 431, 15187 What are the prime factors of 1092218152? 2, 2113, 64613 List the prime factors of 3429741. 3
{ "pile_set_name": "DM Mathematics" }
50, 22717, 37046, 56387? 125*l**3 - 119*l**2 + l - 5 What is the a'th term of 74, 231, 556, 1049, 1710, 2539, 3536? 84*a**2 - 95*a + 85 What is the t'th term of -386, -419, -482, -581, -722, -911, -1154, -1457? -t**3 - 9*t**2 + t - 377 What is the n'th term of -915, -886, -863, -846? -3*n**2 + 38*n - 950 What is the s'th term of 109, 617, 1999, 4693, 9137, 15769? 73*s**3 - s**2 + 37 What is the v'th term of -12189, -12290, -12391, -12492, -12593, -12694? -101*v - 12088 What is the u'th term of -287, -499, -711? -212*u - 75 What is the p'th term of -275, -652, -1029, -1406, -1783, -2160? -377*p + 102 What is the a'th term of 142892, 142879, 142866, 142853, 142840? -13*a + 142905 What is the t'th term of -99, -849, -2901, -6909, -13527, -23409, -37209? -109*t**3 + 3*t**2 + 4*t + 3 What is the z'th term of 3492, 7408, 11324, 15240? 3916*z - 424 What is the z'th term of 825065, 825060, 825055, 825050, 825045? -5*z + 825070 What is the l'th term of 399415, 399425, 399437, 399451? l**2 + 7*l + 399407 What is the w'th term of -103610, -103612, -103616, -103622, -103630? -w**2 + w - 103610 What is the q'th term of 23, 47, 83, 131? 6*q**2 + 6*q + 11 What is the p'th term of 48441, 48444, 48449, 48456, 48465? p**2 + 48440 What is the s'th term of -18, 24, 108, 240, 426, 672, 984? s**3 + 15*s**2 - 10*s - 24 What is the d'th term of 101202, 101203, 101204? d + 101201 What is the m'th term of 291, 597, 907, 1221, 1539, 1861? 2*m**2 + 300*m - 11 What is the z'th term of 3156, 3163, 3174, 3189, 3208, 3231? 2*z**2 + z + 3153 What is the r'th term of 10876, 21741, 32606? 10865*r + 11 What is the s'th term of -5840, -5852, -5872, -5900, -5936? -4*s**2 - 5836 What is the r'th term of 12857, 12847, 12837, 12827, 12817, 12807? -10*r + 12867 What is the o'th term of -93, -149, -205, -261? -56*o - 37 What is the n'th term of 813, 874, 899, 870, 769? -3*n**3 + 82*n + 734 What is the m'th term of 1641, 6794, 15383, 27408, 42869, 61766, 84099? 1718*m**2 - m - 76 What is the d'th term of -656, -673, -690, -707, -724? -17*d - 639 What is the q'th term of -63, -77, -97, -117, -131, -133, -117, -77? q**3 - 9*q**2 + 6*q - 61 What is the g'th term of 2560, 2557, 2554? -3*g + 2563 What is the z'th term of -88, -178, -274, -376, -484? -3*z**2 - 81*z - 4 What is the n'th term of 24480, 24467, 24452, 24435, 24416? -n**2 - 10*n + 24491 What is the b'th term of -46317, -46331, -46355, -46389? -5*b**2 + b - 46313 What is the c'th term of 103718, 103714, 103708, 103700, 103690, 103678, 103664? -c**2 - c + 103720 What is the v'th term of 4578, 4575, 4570, 4563? -v**2 + 4579 What is the o'th term of -3512, -3492, -3444, -3356, -3216, -3012, -2732, -2364? 2*o**3 + 2*o**2 - 3516 What is the q'th term of 4938, 4950, 4962, 4974? 12*q + 4926 What is the d'th term of -379892, -379896, -379902, -379910? -d**2 - d - 379890 What is the m'th term of 616, 1229, 1848, 2473, 3104, 3741, 4384? 3*m**2 + 604*m + 9 What is the q'th term of -2340, -2055, -1768, -1479, -1188? q**2 + 282*q - 2623 What is the f'th term of -71, -321, -717, -1241, -1875, -2601? 3*f**3 - 91*f**2 + 2*f + 15 What is the q'th term of -2, 74, 150, 226? 76*q - 78 What is the b'th term of 22, 42, 104, 226, 426? 3*b**3 + 3*b**2 - 10*b + 26 What is the b'th term of 12067, 12091, 12133, 12199, 12295, 12427? b**3 + 3*b**2 + 8*b + 12055 What is the y'th term of 12711, 25399, 38083, 50763, 63439, 76111? -2*y**2 + 12694*y + 19 What is the f'th term of -3831, -7664, -11497, -15330, -19163, -22996? -3833*f + 2 What is the s'th term of 111, 226, 351, 492, 655, 846, 1071, 1336? s**3 - s**2 + 111*s What is the j'th term of 123, 147, 209, 327, 519, 803, 1197? 3*j**3 + j**2 + 119 What is the x'th term of -867, -6902, -23281, -55176, -107759, -186202, -295677, -441356? -862*x**3 - x - 4 What is the q'th term of 994, 3934, 8812, 15610, 24310, 34894, 47344, 61642? -3*q**3 + 987*q**2 + 10 What is the j'th term of -432267, -432266, -432253, -432222, -432167, -432082? j**3 - 6*j - 432262 What is the h'th term of 96, 347, 790, 1425, 2252, 3271? 96*h**2 - 37*h + 37 What is the o'th term of 27247, 54499, 81751, 109003, 136255? 27252*o - 5 What is the d'th term of -1413770, -1413772, -1413774, -1413776? -2*d - 1413768 What is the u'th term of -28594, -28647, -28700, -28753, -28806, -28859? -53*u - 28541 What is the i'th term of -54535, -109056, -163577, -218098, -272619? -54521*i - 14 What is the i'th term of 2117, 2120, 2123, 2126, 2129? 3*i + 2114 What is the u'th term of -402277, -804554, -1206831, -1609108? -402277*u What is the s'th term of 76050, 152100, 228152, 304206, 380262, 456320? s**2 + 76047*s + 2 What is the v'th term of -291, -259, -209, -135, -31? v**3 + 3*v**2 + 16*v - 311 What is the w'th term of 19, -72, -251, -524, -897, -1376, -1967, -2676? -w**3 - 38*w**2 + 30*w + 28 What is the b'th term of 81, 97, 15, -195, -563, -1119? -5*b**3 - 19*b**2 + 108*b - 3 What is the x'th term of 6930, 6938, 6950, 6966, 6986, 7010, 7038? 2*x**2 + 2*x + 6926 What is the n'th term of -245, -486, -967, -1754, -2913, -4510, -6611? -11*n**3 - 54*n**2 - 2*n - 178 What is the h'th term of 297, 207, 117, 27, -63, -153? -90*h + 387 What is the j'th term of 1609, 1707, 1957, 2431, 3201, 4339, 5917, 8007? 12*j**3 + 4*j**2 + 2*j + 1591 What is the f'th term of 4012, 2999, 1984, 967, -52, -1073, -2096? -f**2 - 1010*f + 5023 What is the h'th term of 1850401, 3700803, 5551205? 1850402*h - 1 What is the t'th term of -5716, -11435, -17154? -5719*t + 3 What is the v'th term of -1717, -2429, -3141, -3853, -4565? -712*v - 1005 What is the q'th term of 14756, 29510, 44264, 59018, 73772, 88526? 14754*q + 2 What is the j'th term of -312, -785, -1258, -1731, -2204? -473*j + 161 What is the c'th term of -403, -428, -481, -568, -695? -c**3 - 8*c**2 + 6*c - 400 What is the a'th term of -29639, -59283, -88931, -118583, -148239, -177899? -2*a**2 - 29638*a + 1 What is the m'th term of -2, 12, 44, 94? 9*m**2 - 13*m + 2 What is the b'th term of -6808, -6801, -6794, -6787, -6780, -6773? 7*b - 6815 What is the p'th term of 9813, 18649, 27485, 36321? 8836*p + 977 What is the l'th term of -194, -314, -412, -488? 11*l**2 - 153*l - 52 What is the c'th term of 459, 467, 471, 465, 443, 399, 327? -c**3 + 4*c**2 + 3*c + 453 What is the o'th term of 21284, 21294, 21304, 21314, 21324? 10*o + 21274 What is the m'th term of -158, -550, -1136, -1874, -2722, -3638, -4580? 7*m**3 - 139*m**2 - 24*m - 2 What is the t'th term of 5121, 10448, 15775? 5327*t - 206 What is the h'th term of 7517, 15019, 22521, 30023, 37525? 7502*h + 15 What is the p'th term of 17, 12, -55, -232, -567, -1108, -1903? -8*p**3 + 17*p**2 + 8 What is the f'th term of 707, 1406, 2085, 2738, 3359, 3942, 4481? -f**3 - 4*f**2 + 718*f - 6 What is the o'th term of 78116, 78114, 78112, 78110, 78108, 78106? -2*o + 78118 What is the j'th term of -27, 62, 251, 528, 881, 1298, 1767? -2*j**3 + 62*j**2 - 83*j - 4 What is the k'th term of 746, 1381, 2016, 2645, 3262, 3861? -k**3 + 6*k**2 + 624*k + 117 What is the i'th term of 1680, 3432, 5186, 6936, 8676, 10400, 12102, 13776? -i**3 + 7*i**2 + 1738*i - 64 What is the j'th term of -414, -696, -1450, -2904, -5286? -38*j**3 - 8*j**2 + 8*j - 376 What is the g'th term of 9, 13, 15, 27, 61, 129, 243? 2*g**3 - 13*g**2 + 29*g - 9 What is the p'th term of -21859, -21874, -21889, -21904, -21919? -15*p - 21844 What is the f'th term of -394, -3199, -10818, -25657, -50122, -86619? -401*f**3 - f**2 + 5*f + 3 What is the a'th term of -85897, -85891, -85881, -85867, -85849? 2*a**2 - 85899 What is the z'th term of 3044426, 3044428, 3044430, 3044432, 3044434? 2*z + 3044424 What is the w'th term of 204, 340, 528, 768, 1060, 1404? 26*w**2 + 58*w + 120 What is the z'th term of -16037, -16040, -16057, -16094, -16157, -16252, -16385? -z**3 - z**2 + 7*z - 16042 What is the w'th term of -140, -713, -2188, -5015, -9644? -75*w**3 - w**2 - 45*w - 19 What is the n'th term of 3031, 2910, 2789? -121*n + 3152 What is the q'th term of -318376, -636750, -955124, -1273498, -1591872, -1910246? -318374*q - 2 What is the l'th term of -23943, -47920, -71897, -95874? -23977*l + 34 What is the t'th term of 1368, 1385, 1400, 1413, 1424, 1433? -t**2 + 20*t + 1349 What is the i'th term of 5221387, 5221386, 5221385, 5221384, 5221383, 5
{ "pile_set_name": "DM Mathematics" }
ct the terms in -7*j - 66*j**2 - 2206 + 2211 + 7*j. -66*j**2 + 5 Collect the terms in 252*k**3 - 273*k**3 + 134*k + 966*k**3 - 257*k + 125*k. 945*k**3 + 2*k Collect the terms in 2*k**2 - 79*k - 3*k**2 + 41*k + 38*k. -k**2 Collect the terms in -1128*q - 24 + 44 - 20. -1128*q Collect the terms in -31*b**3 + 148*b**3 - 120*b**3. -3*b**3 Collect the terms in -249 - 532 - 195 - 472 - 2*i**2 - 2*i. -2*i**2 - 2*i - 1448 Collect the terms in 295*z**3 - 712*z**3 - 4102 + 4102 - 641*z**3. -1058*z**3 Collect the terms in 1 + 50432*f - 50432*f + 3*f**3. 3*f**3 + 1 Collect the terms in 6103*o - 14522*o + 8418*o. -o Collect the terms in 5740*x**2 + 5765*x**2 - 11450*x**2. 55*x**2 Collect the terms in -106*w**2 - 45*w**2 - 157952*w + 157952*w. -151*w**2 Collect the terms in 9*s - 2 - 160*s + 29*s + 52*s - s. -71*s - 2 Collect the terms in 8*n**3 - 12*n**3 + 3*n**2 - 36928*n + 36928*n. -4*n**3 + 3*n**2 Collect the terms in 502 - 8*b + 12 + 176. -8*b + 690 Collect the terms in 1749444 - 3498887 + 1749443 + 3*b**3. 3*b**3 Collect the terms in -5 + 14 - 6 - 6*z + 0. -6*z + 3 Collect the terms in -341*k + 2*k**2 + 639*k - 298*k. 2*k**2 Collect the terms in -2*n**2 + 7*n**2 + 268*n**3 - 5*n**2. 268*n**3 Collect the terms in 47*f**2 - 21 + 2*f**3 - 32*f**2 + 55*f**2 + 2*f. 2*f**3 + 70*f**2 + 2*f - 21 Collect the terms in -57*l - 6*l + 8*l. -55*l Collect the terms in 2136 - q - 467 + 0*q**2 + q**2 + q. q**2 + 1669 Collect the terms in -2*u**3 + u**2 - 54*u + 20*u - 11*u**3 - 4*u**2 + 34*u. -13*u**3 - 3*u**2 Collect the terms in 36*d - 2 + 2 + 641*d. 677*d Collect the terms in -243*z**2 + 906*z**2 + 1134*z**2 + 169*z**2. 1966*z**2 Collect the terms in 4094144*g - 2047073*g - 2047101*g. -30*g Collect the terms in 429374*s**3 + 0*s - 429432*s**3 + 0*s. -58*s**3 Collect the terms in 74*i + 816*i + 941*i. 1831*i Collect the terms in -690*f**2 + 2086*f**2 - 681*f**2 - 697*f**2. 18*f**2 Collect the terms in 62548*a**2 - 125083*a**2 + 62534*a**2. -a**2 Collect the terms in -1 + 127*y + 6 + 140*y - 266*y. y + 5 Collect the terms in -20*a**2 + 6*a**2 + 19*a**2 - 104*a**2. -99*a**2 Collect the terms in 770*k**3 - 110*k**3 - 661*k**3. -k**3 Collect the terms in -104 - 3*m + 5*m**2 + 57 - 4*m**2 - 4*m**2. -3*m**2 - 3*m - 47 Collect the terms in 258 - 258 + 196*k. 196*k Collect the terms in -22*o**3 - 8440 + 25319 + 20*o**3 - 8440 - 8439. -2*o**3 Collect the terms in 580*t**3 + 2*t**3 + 590*t**3 + 665*t**3. 1837*t**3 Collect the terms in 28*n - 9162 - 9161 + 18323. 28*n Collect the terms in -72*y**3 - 471*y**3 + 173*y**3 - 580*y**3. -950*y**3 Collect the terms in 7*k - 6*k - 252*k**2 + k + k**3. k**3 - 252*k**2 + 2*k Collect the terms in 5321*x**2 - 3233*x**2 - 2092*x**2. -4*x**2 Collect the terms in -1255 - 1248 + 4*b**2 + 3757 - 1254. 4*b**2 Collect the terms in 8*u**2 + 91251*u + 91240*u - 182491*u. 8*u**2 Collect the terms in 0*x**3 - 29209 - 3*x**3 + 4*x**3 + 29208. x**3 - 1 Collect the terms in 10 - 1482*x**2 - 8 - 245*x**2 + 66*x**2. -1661*x**2 + 2 Collect the terms in 2*i**2 - 805*i + 805*i - 19. 2*i**2 - 19 Collect the terms in 14*c + 97*c**2 - 14*c. 97*c**2 Collect the terms in -8*x - 36*x - 7*x + 4*x + 61*x. 14*x Collect the terms in -1241478*r + 2482951*r - 1241475*r. -2*r Collect the terms in 2*y**3 - 37 + 14*y**3 - 8 + 81 + 0*y**3 - 34. 16*y**3 + 2 Collect the terms in 1157*n - 1 + 1159*n + 2*n**2 + 1161*n - 3477*n. 2*n**2 - 1 Collect the terms in 20941*j**2 - 41878*j**2 + 20939*j**2 + 3. 2*j**2 + 3 Collect the terms in 2860*i + 4*i**2 + 0*i**2 - 162*i. 4*i**2 + 2698*i Collect the terms in -29496534 + 29496534 + 3*b**3. 3*b**3 Collect the terms in 30*i**2 - 2 + 29*i**2 + 2 - 56*i**2 - i**2. 2*i**2 Collect the terms in 22*k**2 - 3*k**3 + 22*k**2 - 44*k**2 - k**3. -4*k**3 Collect the terms in -4*r + 5*r + 613 + 2*r - 619. 3*r - 6 Collect the terms in 148*o + 108594 - 108594. 148*o Collect the terms in -78*z**3 - 6*z**3 - 743*z**2 + 743*z**2. -84*z**3 Collect the terms in -1453*x**3 + 2909*x**3 - 1461*x**3. -5*x**3 Collect the terms in -160328*t**2 - 160326*t**2 + 320666*t**2. 12*t**2 Collect the terms in 12*u**2 + 7*u**2 + 0 - 1 - 23*u + 23*u. 19*u**2 - 1 Collect the terms in -43*v**2 - 5*v + 5*v + 40*v**3. 40*v**3 - 43*v**2 Collect the terms in -62*q**3 + 306*q**3 - 67*q**3 - 5*q**2 + 5*q**2 - 175*q**3. 2*q**3 Collect the terms in 45*a**2 - 23*a**2 + 82*a - 23*a**2. -a**2 + 82*a Collect the terms in -43 + 5*t - 144 + 11. 5*t - 176 Collect the terms in -9 - 54*z - 6*z - 6*z + 7. -66*z - 2 Collect the terms in 492*y - 492*y - y**3 + 13. -y**3 + 13 Collect the terms in -3*x - 4 + 302*x**2 + 4 + 160*x**2. 462*x**2 - 3*x Collect the terms in 17 + 21 - s - 3 + 17. -s + 52 Collect the terms in -382*z + 215*z + 172*z + 2. 5*z + 2 Collect the terms in 1780*z**2 - 687*z**2 - 355*z**2. 738*z**2 Collect the terms in 174*p**2 + 166*p**2 - 515*p**2 + 176*p**2. p**2 Collect the terms in 772*i**2 + 262*i**2 + 2311*i**2 - 4. 3345*i**2 - 4 Collect the terms in 49*g**3 + 22*g - 96*g**3 + 31*g + 49*g**3 - 53*g. 2*g**3 Collect the terms in 225*c + 118 + 116 - 234. 225*c Collect the terms in 135 + 24 - 159 + 9*x**2. 9*x**2 Collect the terms in -4*n**2 + n**2 + 4 + n**2 + 22*n**3. 22*n**3 - 2*n**2 + 4 Collect the terms in 35106*i - i**2 + 30 - 30. -i**2 + 35106*i Collect the terms in 1342 + 3*o**3 + 5*o**3 - 1342 - 7*o**3. o**3 Collect the terms in -16*o + 2*o + 0*o + 5*o. -9*o Collect the terms in -936*g**3 + 2*g - 2*g - 1414*g**3. -2350*g**3 Collect the terms in -6883 + 2286 - 10*a + 2296 + 2301. -10*a Collect the terms in 7*d**2 + 170069*d**3 - 170061*d**3 - 7*d**2. 8*d**3 Collect the terms in 151*w**2 + 50*w**2 - 118*w**2. 83*w**2 Collect the terms in -9*x - 8013 + 18*x - 8*x. x - 8013 Collect the terms in -z + 597*z**3 - 650*z**3 + z. -53*z**3 Collect the terms in 12782*h**2 - 6390*h**2 - 6396*h**2. -4*h**2 Collect the terms in 78 + 87 + 13*u**2 + 71 - 238. 13*u**2 - 2 Collect the terms in -4*w - 969*w**2 + 4*w - 524*w**2. -1493*w**2 Collect the terms in -5 - v + 7 + 5*v - 545*v**2 - 2*v. -545*v**2 + 2*v + 2 Collect the terms in -32326 - 32329 + 64655 + v. v Collect the terms in -521*w + 128*w + 163*w + 152*w. -78*w Collect the terms in 86 - 87 - 317*l - 128*l. -445*l - 1 Collect the terms in -o + o**2 - 3*o - o + 3*o**2. 4*o**2 - 5*o Collect the terms in 12*c**2 - 4*c**2 - 82 + 3*c**2 + c**2. 12*c**2 - 82 Collect the terms in 7030463*f + 7030466*f - 14060917*f. 12*f Collect the terms in -56*o - 578*o - 878*o + 128*o. -1384*o Collect the terms in 28*k**3 - 30*k**3 + 520*k**2 - 260*k**2 - 260*k**2. -2*k**3 Collect the terms in -47*u + 302*u - 472*u. -217*u Collect the terms in -9*r**2 + 30*r**2 - 2*r**3 + 35*r**2. -2*r**3 + 56*r**2 Collect the terms in 71*f**3 + 91*f - 45*f - 46*f. 71*f**3 Collect the terms in -27*r**2 + 9*r**2 - 10*r**2. -28*r**2 Collect the terms in 368301*q - 368302*q + 0 + 0. -q Collect the terms in -1408*f - 1431*f - 1427*f + 5699*f - 1408*f. 25*f Collect the terms in -75 + 2658 - 241 + 5*g. 5*g + 2342 Collect the terms in -565*v**2 + 1181*v**2 - 623*v**2. -7*v**2 Collect the terms in -r**3 + 38966*r**2 - 19480*r**2 - 19480*r**2. -r**3 + 6*r**2 Collect the terms in -1306*a**3 + 2266*a**3 - 957*a**3. 3*a**3 Collect the terms in 5*y - 3 - 19 + 11 - 7 + 18. 5*y Collect the terms in 65*t**3 - 160*t**3 + 4*t + 49*t**3 - 4*t + 47*t**3. t**3 Collect the terms in 2*d**3 - 42 - 1171*d**2 + 225 + 1171*d**2. 2*d**3 + 183 Collect the terms in -11 + 11 + 12*r + 13*r**2 + 0. 13*r**2 + 12*r Collect the terms in 51*p - 293 - 107*p + 59*p. 3*p - 293 Collect the terms in -5951*s - 6 + 5 + 6016*s. 65*s - 1 Collect the terms in 159*s - 63*s + 115*s. 211*s Collect the terms in 3 + 285250*n - 3. 285250*n Collect the terms in c**3 - 16*c**2 + 855*c - 855*c + 190*c**2. c**3 + 174*c**2 Collect the terms in -68*w**2 - 11 + 3*w + 17 + 27. -68*w**2 + 3*w + 33 Collect the terms in -303086399235 + 303086399235 + 2*v. 2*v Collect the terms in 5*z**2 - 14*z**2 + 1271 - 1271 - 10*z**2. -19*z**2 Collect the terms in -98*f - 100*f + 292*f - 100*f. -6*f Collect the terms in 661*q**3 + 1161*q**3 - 1889*q**3. -67*q**3 Collect the terms in 46*m**2 - 28*m**2 - 7*m**3 + 32*m**2 - 2*m - 14*m**3. -21*m**3 + 50*m**2 - 2*m Collect the terms in -255*m**2 + 106*m**2 - 597*m**2. -746*m**2 Collect the terms
{ "pile_set_name": "DM Mathematics" }
et s(n) = n. Let p(t) = 549 - 140 - 242 - 154 - 93*t. Determine p(s(h)). -93*h + 13 Let r(v) = v. Let c(u) = 185 - 71390893*u + 2*u**2 + 71390893*u. What is r(c(o))? 2*o**2 + 185 Let a be 3*68/33 + 2/(-11). Let w(c) be the first derivative of -a*c**3 - 27 + c**3 + 0*c**3 + 19. Let i(y) = -y. Calculate i(w(s)). 15*s**2 Let n(v) = -8*v. Let m(s) be the third derivative of s**6/80 - 7*s**4/6 + 19*s**2. Let z(c) be the second derivative of m(c). What is z(n(o))? -72*o Let j = -229 - -231. Let t(y) = 2*y**j - 32278*y + 32278*y. Let n(s) = 9*s**2. What is t(n(w))? 162*w**4 Let z(x) = -x**2 + 67. Let y(c) = 9*c**2 - 8. Let w(b) = 14*b**2 + 11*b**2 - 30*b**2 + 12*b**2 - 6. Let l(m) = 4*w(m) - 3*y(m). Give l(z(d)). d**4 - 134*d**2 + 4489 Let v(q) = 382*q**2. Let h(i) = -191*i**2 - 11*i + 11. Let a(g) = 105*g**2 + 6*g - 6. Let j(y) = 11*a(y) + 6*h(y). Give j(v(k)). 1313316*k**4 Let j(r) = 3*r**2. Let l(y) = 4 + 2*y - 3*y + y - y + 11*y. What is l(j(t))? 30*t**2 + 4 Let z(n) be the first derivative of n**2/2 - 2. Suppose -4*o = 4*s - 36, 4 = 5*s - 6. Let h(j) = 2*j + 0*j - o*j. Determine z(h(a)). -5*a Let d be 28/(8/8 - -1). Let o(p) = -d*p**2 + 16*p**2 - p**2. Let u(v) = 0*v - 2*v + 0*v. Give u(o(b)). -2*b**2 Let b be 2/2 + 3/(-3) + 2. Let h(g) = -18*g**2 + 33*g**2 - 19*g**b. Let d(u) = 4*u - 135*u**2 - 4*u + 140*u**2. What is d(h(o))? 80*o**4 Let v(j) = -232*j**2 - 233*j**2 + 450*j**2. Let o(x) = -19*x**2. What is o(v(s))? -4275*s**4 Let m(w) = 23*w - 6. Let j(b) = -714*b + 189. Let c(t) = -2*j(t) - 63*m(t). Let f(l) be the first derivative of l**3/3 + 42. Determine c(f(p)). -21*p**2 Let l(n) = -2*n. Let s(f) = 8283*f**2 - 99*f + 99. Let p(t) = -2*t - 2*t + 3*t - 5 + 6*t - 414*t**2. Let r(w) = 99*p(w) + 5*s(w). What is l(r(m))? -858*m**2 Let p(f) = -4*f. Let c(w) = -279*w**2 - 2 + 284*w**2 + 6. Calculate p(c(m)). -20*m**2 - 16 Let y(l) = -52*l**2 + 3*l. Let z(w) be the second derivative of -2*w**3/3 - 7163*w. Calculate y(z(q)). -832*q**2 - 12*q Let o(u) = -130*u**2 + 5*u - 35. Let n(f) = 27*f**2 - f - 1. Let m(i) = 5*n(i) + o(i). Let x(r) = r**2. Give x(m(t)). 25*t**4 - 400*t**2 + 1600 Let x(p) = 58*p - 65*p + 34*p. Let k(f) = 3*f - 4. Let z(r) = -1. Let q(g) = k(g) - 4*z(g). Give x(q(y)). 81*y Let m(g) = 8*g**2. Let y(j) = -254*j**2 + 95*j**2 + 33*j**2. What is m(y(x))? 127008*x**4 Let w(c) be the second derivative of -14*c**3/3 + c + 195. Let q(r) = -57*r. Give w(q(a)). 1596*a Let o(t) be the third derivative of t**6/180 - 62*t**3/3 - 67*t**2. Let i(m) be the first derivative of o(m). Let u(l) = -2*l + 10. Calculate u(i(a)). -4*a**2 + 10 Let v(p) = -2*p - 7. Let o be v(-1). Let y(l) = -l**2 - 2. Let a(x) = -2. Let k(j) = o*y(j) + 5*a(j). Let g(d) = 2*d + 4. Calculate g(k(z)). 10*z**2 + 4 Let n(g) be the first derivative of 131*g**3/3 + 7311. Let z(p) = 17*p**2 + 2*p. What is z(n(a))? 291737*a**4 + 262*a**2 Let t(y) = 3*y + 626. Let j(k) = 45*k + 20. Let r(l) = -56*l - 25. Let c(p) = -5*j(p) - 4*r(p). What is t(c(n))? -3*n + 626 Let u(z) = -5*z**2. Let a(s) = -1316*s**2 + 26*s + 8. Calculate a(u(l)). -32900*l**4 - 130*l**2 + 8 Let y(u) = 4*u - 4*u + u + 4*u. Let l(b) be the second derivative of -b**3/2 - 7905*b. Give l(y(s)). -15*s Let i(u) = 85*u. Let j(t) = 17082*t - 5. Give i(j(w)). 1451970*w - 425 Let o(b) = 4*b. Let x(q) be the third derivative of 337*q**4/24 + 1326*q**2. What is x(o(j))? 1348*j Let p(z) = z. Let g = -35 + 42. Let u(y) be the first derivative of 22*y**2 - 9*y**2 + 10 - g*y**2. Calculate p(u(i)). 12*i Let b(q) = -q. Let a(y) = -1482*y**2 + 52556389 - 52556389. What is a(b(f))? -1482*f**2 Let y(l) = 3*l. Let i(d) = -7*d + 1 + 5 - 11 + 8. Let g(a) = -50*a + 20. Let n be (20/16)/((-3)/48). Let p(z) = n*i(z) + 3*g(z). What is p(y(t))? -30*t Let z(f) = 951*f**2 - 927*f**2 + 5 - 5. Let d(w) = 9*w**2 + 5*w + 5. Let x(n) = 4*n**2 + 2*n + 2. Let j = -1 + 3. Let g(m) = j*d(m) - 5*x(m). Calculate g(z(h)). -1152*h**4 Let c(i) be the second derivative of -i**4/12 + 2*i - 67. Let w be (15/(-9))/(30/(-36)). Let v(g) = -5*g**w - 5*g**2 - 4*g**2. Give v(c(h)). -14*h**4 Let n(k) = 2*k. Let b(t) be the third derivative of -t**4/8 + 572*t**2. Give n(b(r)). -6*r Let i(h) = -2*h - 4. Let s be i(8). Let b be 0 + 206/8 + (-5)/s. Let u(f) = b*f**2 - 8*f**2 - 9*f**2 - 10*f**2. Let c(p) = 27*p + 2. Give u(c(n)). -729*n**2 - 108*n - 4 Let p(u) = 21*u. Let r(m) = m**2 - 151011*m - 7. Calculate p(r(q)). 21*q**2 - 3171231*q - 147 Let z(r) be the third derivative of 13*r**5/20 + r**4/12 - 23*r**2 - 25*r. Let f(i) = -64 + 64 + i. Give f(z(p)). 39*p**2 + 2*p Let v(t) = 3*t**2 + 92*t - 2. Let u be v(-31). Let f(a) = 32*a - 57*a - u*a. Let i(r) = 3 - 3 + r. Determine i(f(x)). -54*x Let r(u) = 1. Suppose -3*v = -4*z - 101, 2*z - 5 = 3*z. Let t = -25 + v. Let w(f) = -5*f - 2. Let n(h) = t*r(h) + w(h). Let o(j) = j**2. Calculate n(o(q)). -5*q**2 Let g(h) = 3*h**2. Let w(f) be the second derivative of -59*f**3 + 1901*f. Determine w(g(p)). -1062*p**2 Let l(s) = -46994*s - 2. Let b(c) = -c + 25. What is l(b(k))? 46994*k - 1174852 Let d(v) = 6159287*v. Let z(h) = -2*h. Calculate d(z(b)). -12318574*b Let i(v) = 7*v - 21*v - 71 + 35 + 16*v. Let a(k) = 3*k + 15. Give i(a(d)). 6*d - 6 Let y(o) = 1. Let z(w) = -11*w - 55. Let l(t) = -110*y(t) - 2*z(t). Let u(i) be the first derivative of 7*i**2/2 - 37. Determine l(u(b)). 154*b Let x(d) be the third derivative of -d**5/60 + d**2 + 24. Let k(g) be the third derivative of 0*g - 7*g**2 + 0*g**3 + 0*g**4 + 0 + 1/5*g**5. Calculate x(k(o)). -144*o**4 Let s(k) = 3*k - k**3 + 9*k**2 - 2*k + 3*k + 13. Let y be s(9). Let h(n) = -15*n - 20*n + y*n - 15*n. Let o(r) = -7*r**2. Calculate h(o(p)). 7*p**2 Let z(t) = -6710*t. Let v(i) = 7*i**2 + 74*i. Calculate z(v(j)). -46970*j**2 - 496540*j Let g(w) = 2*w. Let m(r) = -2582*r + 10040 - 10040. Calculate g(m(l)). -5164*l Let k(u) be the second derivative of 5*u**4/12 + 5*u**3/3 + 10*u. Let z(f) = -17 + 2*f - 17 - 15 + 49. Calculate z(k(w)). 10*w**2 + 20*w Let v(g) = -g + 7. Let d(a) = -18*a + 84. Let z(h) = -d(h) + 12*v(h). Let j be -1 + (3 - -1) + 3. Let c(n) = -3*n - 2*n - 8*n + j*n. Calculate z(c(p)). -42*p Let i(v) = 345*v. Let l(a) = 439*a**2 + 17*a - 19. What is i(l(j))? 151455*j**2 + 5865*j - 6555 Let f(c) = 10*c**2 - 2*c**2 + 28*c**2 - 11*c**2. Let d(h) = 2*h + 78. Determine f(d(x)). 100*x**2 + 7800*x + 152100 Let r(l) = 1. Let o(f) = 5*f**2 + 10. Let n(t) = o(t) - 10*r(t). Let a(m) = -2*m + 0*m - m + 3*m**2 - m. Let v(g) = g. Let u(h) = a(h) + 4*v(h). Give u(n(q)). 75*q**4 Let w(d) = 13*d. Let m(l) = -2*l - 7. Let p(u) = -u - 3. Let f(o) = -o**3 - 3*o**2 + 4*o - 2. Let y be f(-2). Let b(x) = y*p(x) + 6*m(x). What is w(b(i))? 26*i Let p(k) = 5*k. Let l(r) = -528*r + 1. Let c(d) = -l(d) + 6*p(d). Let i(v) = -6*v**2. Calculate i(c(b)). -1868184*b**2 + 6696*b - 6 Let g(m) be the first derivative of -15*m**2/2 - 1. Let d(x) = -3968 - 5*x**2 - 3873 + 7841. Give d(g(v)). -1125*v**2 Let s(v) be the first derivative of 0*v + 2/3*v**3 + 0*v**2 - 3. Let j(c) = -1649*c**2 + 14 - 6 - 8 + 1653*c**2. What is s(j(p))? 32*p**4 Let b(c) be the third derivative of -c**8/10080 - c**5/15 + 12*c**2 + 2*c. Let d(v) be the third derivative of b(v). Let o(t) = 22*t**2 - 5. Calculate d(o(w)). -968*w**4 + 440*w**2 - 50 Let l(v) = 928*v. Let h(a) = -136*a + 2. Let q(m) = -747*m + 11. Let n(o) = 11*h(o) - 2*q(o). Determine n(l(c)). -1856*c Let o(q) = -92*q + 1. Let d(r) = 14128*r + 6. Determine d(o(k)). -1299776*k + 14134 Let m(d) = -59*d**2 + 3538180. Let z(r) = r. Determine m(z(y)). -59*y**2 + 3538180 Let r(l) = -507*l. Let p(g) = 165292*g**2. Calculate r(p(u)). -83803044*u**2 Let z(p) = 1539*p. Let v(u) = 115*u**2 + 195*u**2 - 434*u**2 + 123*u**2. Calculate v(z(m)). -2368521*m**2 Let l(o) be the third derivative of 0*o - 2*o**2 + 1/60*o**5 + 0*o**3 + 0 + 0*o**4. Let p(i) = -18*i. Determine l(p(f)). 324*f**2 Let n(w) = 3*w**2 + 0*w - 5*w**2 - 14*w. Let u(b) be the second derivative of b**3/2 + 4*b - 15518. Give u(n(g)). -6*g**2 - 42*g Let x(f) = -261*f + 10. Let l(k) = -2175*k + 2. Determine x(l(q)). 567675*q - 512 Let x(d) = 54926441*d**2. Let b(v) = -10*v. Determine b(x(w)). -549264410*w**2 Let c(f) = 264*f**2. Let r(b) = -6*b**2 + 118*b - 2. Determine r(c(k)). -418176*k**4 + 31152*k**2 - 2 Let z(o) be the
{ "pile_set_name": "DM Mathematics" }
*2 + 3*s. Let d be c(2). Let f = -22 - d. Calculate the lowest common multiple of 20 and f. 20 Suppose 85*z = 84*z + 6. What is the lowest common multiple of 41 and z? 246 What is the common denominator of 11/14 and -4 - (102/(-168) + 2 + -2)? 28 Let a = -153 + 161. What is the lowest common multiple of a and 314? 1256 Let m be 10/(-132) - 4/12. Let f = 15/44 - m. Let j = -1731/2 - -897. What is the common denominator of j and f? 4 Let x(n) = -n**3 - 2*n**2 + n + 2. Let u be x(-2). Find the common denominator of ((-290)/(-24))/(-5) + u and -2*(-1)/12*(-426)/(-24). 24 Suppose i = 1, 2*m + 0*i + 6 = 2*i. Find the common denominator of m*2/(-4)*47 and ((-2)/(-24))/(2 - 22/8). 9 Suppose 4*h + 4 + 0 = 0, -3*c = -3*h - 9. Suppose 2*o - 32 = -c*o. Let w = 3 + -2. What is the least common multiple of w and o? 8 Let s = 12 - 7. Suppose -s*g = 5*q + 73 - 263, -5*q = -g - 160. What is the smallest common multiple of q and 15? 165 Let f = -42 - -30. Let p be f/(-10)*10/4. Suppose -g + 3 = -p. What is the lowest common multiple of g and 18? 18 Suppose -55*m + 1678 = -4262. Calculate the lowest common multiple of m and 27. 108 What is the least common multiple of 2 and 3/1*8/(24/9)? 18 Suppose 6 + 9 = 3*k. Suppose -4*g + 2*t = -t - 6, -k*g = -t - 13. Let c = 41 - 35. Calculate the least common multiple of c and g. 6 Suppose 4*p + q = -3 - 106, -p - 40 = -4*q. Calculate the smallest common multiple of 18 and 3/((-3)/(-5)) - p. 198 Suppose -23 + 87 = 8*h. Let z = 0 - -5. Suppose 29 = 2*f + z*t, 10 = -f + 4*t - h. Calculate the smallest common multiple of f and 2. 2 Suppose -601 = -5*k - 2641. Find the common denominator of 3 + (k/(-28))/(-2) and (2/5)/((-32)/(-230)). 56 Let i = 351665987 + -15474221529/44. Let v = 20867 + i. Find the common denominator of -43/28 and v. 308 Let q be (4 + 8 + -2)*15/(-6). Let v = 31 + q. Calculate the lowest common multiple of 20 and v. 60 Suppose -110*a + 9050 = 71*a. Suppose 2*u + 5*z - 82 - 28 = 0, 4*z + 42 = u. What is the least common multiple of a and u? 50 Let v = 136 - 112. What is the lowest common multiple of 10 and v? 120 Let f be 9*589*(-2)/(-14). Let y = f + -53451/70. Calculate the common denominator of 29/2 and y. 10 Calculate the common denominator of -95/6 and (-1956)/8*(-10)/(-7650). 510 Suppose 3*w - 834 = 29*s - 34*s, -498 = -3*s - 3*w. What is the lowest common multiple of s and 336? 336 Suppose -4*c = -4*t - 23860, -3*t - 5*c - 10892 = 6963. Let o be (-23810)/(-4) - (-12)/(-30). Let w = t + o. Calculate the common denominator of w and -55/6. 30 Let u be (-4)/(-2) + (-560)/282. Let v = u + -5225/564. Find the common denominator of v and (25/160)/(5/(-180)) - -4. 8 Suppose -5*i + 3088 + 600 = 2*g, -g + 3*i = -1866. Let b = -24986035/12 - -2084022. Let h = b - g. Find the common denominator of h and 61/12. 12 Suppose 0 = 2*h - 5*z - 4, -h - 16*z + 20 = -14*z. What is the lowest common multiple of h and 27? 108 Suppose 0 = -5*v - 0 + 10. Suppose -3*b = -v*w - 28, -w = 2*w + 15. Suppose 2*s - 10 = 0, b*n + s - 37 = 2*n. Calculate the lowest common multiple of n and 6. 24 Let a(s) = s**2 - 9*s. Let u be a(10). Let m(i) = i**3 - 10*i**2 + 9*i. Let l be m(u). Calculate the common denominator of (-4)/12 - (-309)/l and -73/4. 20 Let v = 17 + -5. Let j(d) = 7*d + 0 + 16 - 11 - 1. Calculate the lowest common multiple of v and j(0). 12 Let r be -16 + 10/((-10)/2). Find the common denominator of -47/33 and (5/r)/(66/(-308)). 297 Let b = 3791/522445 - 7/1298. Let c = b + 12713/3220. Find the common denominator of 45/28 and c. 140 Calculate the lowest common multiple of 306 and 818/4 - 5/50*5. 612 Let m = 11749691261/8163287250 - -1/43537532. Let d = m - -18/125. Find the common denominator of -33/28 and d. 84 Let n(c) = -c**3 - 8*c**2 - 2*c - 43. Find the common denominator of 62/5 and n(-8). 5 Calculate the common denominator of 105/(-30) + 141/16 and -73/8. 16 Calculate the common denominator of (-7*(-8)/(-168))/(-3 + (-1191)/(-393)) and 6/3 - 17/(-28). 84 Let m = -2/343183 - 1605753217/6863660. Let j = -33 + -201. Let v = m - j. Calculate the common denominator of -103/6 and v. 60 Find the common denominator of (-1 + (-3)/(-5))/((-7)/145) and -59/28. 28 Let j = -143/56 - -44/21. What is the common denominator of (87/27)/(4/(-30)) and j? 24 Suppose -12*x + 18 + 78 = 0. Suppose o + 2 - 4 = 0. Suppose -o*m - 11 + 43 = 0. Calculate the smallest common multiple of x and m. 16 Calculate the common denominator of (-3 - 30)/(1 + 15/(-6)) and 57/14. 14 Let u(o) = -6 + 24*o**3 + 4*o - 3*o**2 - 22*o**3 - 2*o**2 - 1. What is the smallest common multiple of u(3) and (25/15)/(1/6)? 70 Suppose -3*d = 3*b - 2*d - 330, 2*d - 438 = -4*b. Calculate the smallest common multiple of 24 and b. 888 What is the common denominator of (4/6)/((-78)/(-793)) and 11/10? 90 Let z be (-2)/(-5) + 2305353/180. Let j = -12800 + z. Calculate the common denominator of j and (-15)/(-35) - (-90)/21. 84 Let v be 2*-2 - (-635628)/(-120). Let n = v - -5310. Calculate the common denominator of n and -83/10. 10 What is the common denominator of (7/56)/((-1432)/1952) and 91/6? 1074 Let h(k) = k**2 + 3*k - 6. Let o be h(-5). What is the common denominator of 1/(12/26) + -2 and 0/o + 20/(-6)? 6 What is the least common multiple of 94 and 1/3 - (-1770)/90? 940 Let w(p) = 4*p - 15. Let d(s) = -s**3 + 8*s**2 - 9*s - 6. Let f be d(8). Calculate the common denominator of w(15) and f/(-10) + 10 + -6. 5 Let o(u) = -u**2 + 12*u + 1. Let l be o(12). What is the common denominator of 3/18*l*(-151)/2 and 93/32? 96 Let i = 121 + -114. Let p = 9 - i. Calculate the least common multiple of 6 and p. 6 Let a = -40 - -68. Suppose -3*p + a = -p. Suppose -b + 8 = 2*k, -4*b + 2*k + 19 = -3. Calculate the lowest common multiple of b and p. 42 Let m = 14 - 24. What is the common denominator of 0 + 388/48 + 4 and (-1348)/440 - 2/m? 132 Let s be (4/10)/(1/(-85)). Let j = 28 + s. Calculate the common denominator of ((-1)/(-2))/(j/(-237)) and 65/2. 4 Suppose 5*q - 43 = -3. Calculate the least common multiple of q and 9. 72 Suppose -4*s - 2*t - 37 - 1 = 0, 2*s + 31 = -5*t. Calculate the lowest common multiple of 64 and (-14)/(-8) - s/32. 64 Let n = 158 + -134. Calculate the lowest common multiple of 18 and n. 72 Let s(u) = u**2 + 10*u + 21. Let r be s(-7). What is the lowest common multiple of 12 and r + ((-52)/(-8) - (-4)/(-8))? 12 Let v be -2 - (-4563)/(-20) - 12/20. Let b = v + 244. What is the common denominator of b and 22/71? 284 Let i be (-7)/2*2*1. Let f be i/(-1) + 3 + -7. Suppose 5*d = 5*k - 20, -8*k - 2*d = -f*k - 48. Calculate the least common multiple of k and 4. 8 Let f = 241991 - 1930449/8. Let h be -693 - (1 + -2 + -1). Let l = f + h. Find the common denominator of -79/8 and l. 8 Suppose 5*w + 2*x - 15 + 5 = 0, 3*w + 3*x = 6. What is the lowest common multiple of w and 1124? 1124 Let y = -148 + 165. Calculate the common denominator of y and 4/46*63/6. 23 Suppose 0 = 5*u - 5, i - 4*u + 36 = 5*i. Calculate the lowest common multiple of i and 18. 72 Calculate the least common multiple of -1*9*-12 + 568/142 and 4. 112 Suppose 0 = -b + 2. Suppose -4*g = -y + 373, -2*g = g - b*y + 286. Calculate the common denominator of -87/22 and ((-2)/g)/(8/392). 506 Let z(s) = -10*s**2 - s - 1. Let g be z(-1). Let j = 15 + g. Suppose -j*i = -7 - 233. Calculate the lowest common multiple of 2 and i. 48 Suppose 0 = 3*n - 44 + 2. Let k(t) = -4*t - 6. Calculate the least common multiple of k(-3) and n. 42 Let b(m) = m**2 + 2*m + 3. Suppose -3*q + 16*q - 312 = 0. What is the least common multiple of q and b(3)? 72 Let s = -140613 + 77055833/548. Find the common denominator of -47/20 and s. 2740 Let v(u) = -564*u + 23. Let c be v(4). Find the common denominator of 109/18 and c/1764 + 8/14. 36 Let c be (4*3/1652)/1. Let t = -32657/4130 + c. What is the common denominator of ((-10)/45)/((-5)/(705/2)) and t? 30 Let z(r) = r**2 - 24*r - 4. Let v(x) = x**2 - 22*x - 5. Let m(q) = -7*v(q) + 6*z(q). Let b = 6 - 4. What is the smallest common multiple of b and m(9)? 20 Let b(h) = -h**2 + 3*h - 1. Suppose 6*f = f + o + 5, -5 = -5*f + 3*o. What is the smallest common multiple of 7 and b(f)? 7 Let a = -9 + 105. Let x = -69 + a. What is the lowest common multiple of x and 21? 189 Let j = 100/19 - 311/171. Ca
{ "pile_set_name": "DM Mathematics" }
f -409176, -409178, -409180? -2*w - 409174 What is the m'th term of -212, -379, -522, -629, -688? 2*m**3 - 181*m - 33 What is the y'th term of 4264, 4257, 4236, 4195, 4128, 4029, 3892? -y**3 - y**2 + 3*y + 4263 What is the f'th term of 77573, 77578, 77587, 77600, 77617? 2*f**2 - f + 77572 What is the j'th term of 2806, 2844, 2906, 2998, 3126, 3296, 3514, 3786? j**3 + 6*j**2 + 13*j + 2786 What is the w'th term of 7732, 30941, 69624, 123781, 193412, 278517? 7737*w**2 - 2*w - 3 What is the i'th term of 1498, 3012, 4508, 5980, 7422? -i**3 - 3*i**2 + 1530*i - 28 What is the y'th term of 381523, 381526, 381531, 381538, 381547? y**2 + 381522 What is the v'th term of -64628, -64631, -64640, -64655? -3*v**2 + 6*v - 64631 What is the i'th term of 311639, 623274, 934903, 1246526? -3*i**2 + 311644*i - 2 What is the f'th term of 769, 830, 891, 952, 1013? 61*f + 708 What is the o'th term of 382, 683, 828, 739, 338, -453, -1712? -13*o**3 + 392*o + 3 What is the p'th term of -172, -283, -322, -253, -40, 353, 962? 6*p**3 - 153*p - 25 What is the d'th term of -6553, -52392, -176801, -419062, -818457, -1414268, -2245777, -3352266? -6547*d**3 - 3*d**2 - d - 2 What is the c'th term of -1964, -7900, -17784, -31610, -49372, -71064? c**3 - 1980*c**2 - 3*c + 18 What is the b'th term of 7786, 7785, 7784, 7783, 7782, 7781? -b + 7787 What is the x'th term of -801, -3335, -7607, -13623, -21389, -30911? -x**3 - 863*x**2 + 62*x + 1 What is the y'th term of 980, 1900, 2810, 3710, 4600, 5480? -5*y**2 + 935*y + 50 What is the a'th term of -542, -759, -964, -1151, -1314, -1447, -1544, -1599? a**3 - 224*a - 319 What is the y'th term of -148, -236, -382, -586, -848, -1168, -1546? -29*y**2 - y - 118 What is the i'th term of -405, -296, -57, 378, 1075, 2100? 11*i**3 - i**2 + 35*i - 450 What is the s'th term of -922, -3592, -8060, -14320, -22366, -32192, -43792? s**3 - 905*s**2 + 38*s - 56 What is the q'th term of -1218, -1186, -1154? 32*q - 1250 What is the c'th term of 210, 605, 1366, 2679, 4730? 31*c**3 - 3*c**2 + 187*c - 5 What is the c'th term of 5809, 5787, 5769, 5755? 2*c**2 - 28*c + 5835 What is the h'th term of 2255, 2243, 2231? -12*h + 2267 What is the k'th term of -98, -451, -1050, -1901, -3010, -4383, -6026? -k**3 - 117*k**2 + 5*k + 15 What is the f'th term of -862, -797, -734, -673, -614, -557, -502? -f**2 + 68*f - 929 What is the c'th term of -3973, -7961, -11959, -15973, -20009, -24073? -c**3 + c**2 - 3984*c + 11 What is the r'th term of 34475, 34509, 34543, 34577, 34611? 34*r + 34441 What is the z'th term of -59404, -118807, -178210, -237613? -59403*z - 1 What is the j'th term of 2762, 2908, 3054? 146*j + 2616 What is the i'th term of -22, -154, -280, -400, -514, -622, -724? 3*i**2 - 141*i + 116 What is the g'th term of -500, -2285, -5258, -9419, -14768? -594*g**2 - 3*g + 97 What is the i'th term of 71, -140, -351, -562, -773, -984? -211*i + 282 What is the a'th term of 3975747, 3975745, 3975743, 3975741, 3975739, 3975737? -2*a + 3975749 What is the l'th term of 256, 547, 860, 1207, 1600, 2051, 2572, 3175? 2*l**3 - l**2 + 280*l - 25 What is the b'th term of 621, 667, 713? 46*b + 575 What is the p'th term of 1114, 1036, 962, 892? 2*p**2 - 84*p + 1196 What is the g'th term of -28, -89, -178, -295, -440? -14*g**2 - 19*g + 5 What is the q'th term of -346, -667, -992, -1321, -1654? -2*q**2 - 315*q - 29 What is the b'th term of -122, -152, -218, -332, -506, -752, -1082, -1508? -2*b**3 - 6*b**2 + 2*b - 116 What is the n'th term of -118095, -118109, -118123, -118137, -118151, -118165? -14*n - 118081 What is the n'th term of 102381, 102391, 102403, 102417, 102433? n**2 + 7*n + 102373 What is the t'th term of 306669, 306670, 306671? t + 306668 What is the k'th term of -11396, -45570, -102526, -182270, -284808? -k**3 - 11385*k**2 - 12*k + 2 What is the x'th term of -4261, -4236, -4211, -4186, -4161, -4136? 25*x - 4286 What is the n'th term of 2784, 5559, 8334, 11109? 2775*n + 9 What is the j'th term of -2425, -4863, -7331, -9841, -12405, -15035, -17743? -2*j**3 - 3*j**2 - 2415*j - 5 What is the l'th term of 360, 455, 542, 621, 692, 755, 810? -4*l**2 + 107*l + 257 What is the u'th term of 1288, 1280, 1278, 1282, 1292, 1308, 1330? 3*u**2 - 17*u + 1302 What is the i'th term of -111, -166, -217, -264? 2*i**2 - 61*i - 52 What is the w'th term of -56641, -113259, -169877? -56618*w - 23 What is the y'th term of 22018, 22076, 22134? 58*y + 21960 What is the t'th term of 124, 164, 200, 232, 260, 284, 304? -2*t**2 + 46*t + 80 What is the g'th term of -206373, -412731, -619089, -825447? -206358*g - 15 What is the v'th term of 38000, 75996, 113994, 151994, 189996? v**2 + 37993*v + 6 What is the a'th term of -9754, -9770, -9784, -9796, -9806, -9814, -9820? a**2 - 19*a - 9736 What is the n'th term of -247, -951, -2105, -3709, -5763? -225*n**2 - 29*n + 7 What is the i'th term of -63754, -63768, -63806, -63880, -64002, -64184? -2*i**3 - 63752 What is the l'th term of -820, -821, -846, -907, -1016, -1185, -1426, -1751? -2*l**3 + 13*l - 831 What is the t'th term of -94, -382, -864, -1540, -2410? -97*t**2 + 3*t What is the w'th term of 2139, 2180, 2247, 2352, 2507, 2724, 3015, 3392? 2*w**3 + w**2 + 24*w + 2112 What is the f'th term of -211, -412, -613, -820, -1039, -1276, -1537? -f**3 + 6*f**2 - 212*f - 4 What is the q'th term of -36, -42, -28, 18, 108, 254, 468? 2*q**3 - 2*q**2 - 14*q - 22 What is the k'th term of -1573, -3099, -4629, -6163, -7701? -2*k**2 - 1520*k - 51 What is the z'th term of -9, -113, -289, -537, -857, -1249? -36*z**2 + 4*z + 23 What is the j'th term of 524979, 524981, 524983, 524985, 524987, 524989? 2*j + 524977 What is the i'th term of 4387, 4391, 4395? 4*i + 4383 What is the o'th term of -1737, -4783, -9859, -16965? -1015*o**2 - o - 721 What is the t'th term of 152, 328, 504, 680? 176*t - 24 What is the n'th term of 1802, 3321, 4840, 6359, 7878, 9397? 1519*n + 283 What is the m'th term of -53123, -53119, -53115, -53111, -53107, -53103? 4*m - 53127 What is the a'th term of 1603409, 3206820, 4810231? 1603411*a - 2 What is the n'th term of 430716, 861432, 1292148, 1722864, 2153580, 2584296? 430716*n What is the v'th term of 124, 124, 126, 130, 136, 144? v**2 - 3*v + 126 What is the p'th term of 3619, 7217, 10815, 14413, 18011, 21609? 3598*p + 21 What is the b'th term of 120437, 120435, 120433, 120431, 120429, 120427? -2*b + 120439 What is the m'th term of -7430, -29746, -66948, -119036, -186010, -267870? -7443*m**2 + 13*m What is the o'th term of -6326, -12622, -18932, -25262, -31618, -38006, -44432, -50902? -o**3 - o**2 - 6286*o - 38 What is the c'th term of 581405, 581408, 581411? 3*c + 581402 What is the h'th term of -1229, -1202, -1129, -986, -749, -394, 103? 4*h**3 - h**2 + 2*h - 1234 What is the g'th term of 1638, 3294, 4962, 6648, 8358, 10098? g**3 + 1649*g - 12 What is the u'th term of -614, -649, -684, -719, -754? -35*u - 579 What is the t'th term of 364, 735, 1106, 1477, 1848, 2219? 371*t - 7 What is the y'th term of -1, 5, -5, -43, -121? -2*y**3 + 4*y**2 + 8*y - 11 What is the z'th term of 1518, 1616, 1704, 1776, 1826, 1848, 1836, 1784? -z**3 + z**2 + 102*z + 1416 What is the g'th term of -77, -37, -41, -95, -205? -g**3 - 16*g**2 + 95*g - 155 What is the p'th term of -1573, -1437, -1311, -1201, -1113, -1053? -p**3 + p**2 + 140*p - 1713 What is the i'th term of -47968, -47966, -47964? 2*i - 47970 What is the z'th term of -41, 33, 231, 547, 975, 1509? -z**3 + 68*z**2 - 123*z + 15 What is the s'th term of 917, 1800, 2679, 3554, 4425, 5292, 6155? -2*s**2 + 889*s + 30 What is the o'th term of -2046, -3272, -4498, -5724, -6950? -1226*o - 820 What is the f'th term of -3190, -6380, -9570, -12760, -15950, -19140? -3190*f What is the j'th term of -89, -278, -651, -1298, -2309, -3774, -5783, -8426? -15*j**3 - 2*j**2 - 78*j + 6 What is the c'th term of -511704, -1023406, -1535108? -511702*c - 2 What is the z'th term of 4805, 9612, 14411, 19202, 23985, 28760, 33527? -4*z**2 + 4819*z - 10 What is the m'th term of 715, 730, 759, 802? 7*m**2 - 6*m + 714 What is the w'th term of 436, 1542, 3378, 5944, 9240? 365*w**2 + 11*w + 60 What is the j'th term of 232, 412, 540, 610, 616, 552? -j**3 - 20*j**2 + 247*j + 6 What is the k'th term of -3427, -13688, -30779, -54694, -85427? k**3
{ "pile_set_name": "DM Mathematics" }
m of 21, 188, 657, 1578, 3101, 5376, 8553, 12782? 25*k**3 + k**2 - 11*k + 6 What is the m'th term of -7, -16, -29, -46, -67, -92? -2*m**2 - 3*m - 2 What is the o'th term of -26, -22, -14, -2, 14? 2*o**2 - 2*o - 26 What is the j'th term of -42, -49, -56, -63? -7*j - 35 What is the o'th term of 52, 70, 96, 130, 172, 222? 4*o**2 + 6*o + 42 What is the g'th term of 712, 736, 750, 748, 724? -g**3 + g**2 + 28*g + 684 What is the z'th term of 1482, 1492, 1508, 1530, 1558, 1592? 3*z**2 + z + 1478 What is the f'th term of 219, 896, 2017, 3576, 5567, 7984? -f**3 + 228*f**2 - 8 What is the o'th term of -53, 14, 95, 196, 323, 482? o**3 + o**2 + 57*o - 112 What is the i'th term of 71, 70, 69, 68, 67? -i + 72 What is the h'th term of -154, -132, -110? 22*h - 176 What is the o'th term of 42, 151, 260, 369, 478? 109*o - 67 What is the f'th term of -28, -36, -44, -52, -60? -8*f - 20 What is the a'th term of -591, -567, -529, -471, -387? a**3 + a**2 + 14*a - 607 What is the i'th term of 46, 84, 122, 160, 198, 236? 38*i + 8 What is the m'th term of 224, 461, 708, 971, 1256, 1569, 1916, 2303? m**3 - m**2 + 233*m - 9 What is the s'th term of -880, -1762, -2644? -882*s + 2 What is the h'th term of 312, 603, 878, 1131, 1356, 1547, 1698? -h**3 - 2*h**2 + 304*h + 11 What is the p'th term of -2363, -4728, -7093, -9458? -2365*p + 2 What is the m'th term of -25, -31, -23, 5, 59, 145? m**3 + m**2 - 16*m - 11 What is the z'th term of 5, 29, 65, 113, 173? 6*z**2 + 6*z - 7 What is the i'th term of -293, -1176, -2649, -4712? -295*i**2 + 2*i What is the o'th term of -972, -985, -996, -1005? o**2 - 16*o - 957 What is the i'th term of 8, 38, 68, 98, 128, 158? 30*i - 22 What is the k'th term of 300, 601, 902, 1203? 301*k - 1 What is the u'th term of -139, -247, -355, -463, -571, -679? -108*u - 31 What is the m'th term of -7077, -7076, -7075, -7074? m - 7078 What is the j'th term of -1, -18, -25, -16, 15, 74? j**3 - j**2 - 21*j + 20 What is the x'th term of 4, 10, 22, 40, 64, 94, 130? 3*x**2 - 3*x + 4 What is the w'th term of 145, 138, 121, 88, 33? -w**3 + w**2 - 3*w + 148 What is the w'th term of -261, -259, -257, -255? 2*w - 263 What is the u'th term of 15, 129, 455, 1101, 2175, 3785, 6039? 18*u**3 - 2*u**2 - 6*u + 5 What is the o'th term of -133, -125, -111, -91? 3*o**2 - o - 135 What is the o'th term of 1531, 1529, 1529, 1531, 1535? o**2 - 5*o + 1535 What is the p'th term of 4589, 4591, 4593, 4595, 4597, 4599? 2*p + 4587 What is the i'th term of -28, -100, -220, -388, -604, -868, -1180? -24*i**2 - 4 What is the p'th term of -156, -113, -46, 39, 136, 239? -p**3 + 18*p**2 - 4*p - 169 What is the y'th term of 60, 108, 146, 168, 168? -y**3 + y**2 + 52*y + 8 What is the p'th term of -108, -106, -104, -102, -100, -98? 2*p - 110 What is the p'th term of 15, 34, 79, 162, 295, 490? 2*p**3 + p**2 + 2*p + 10 What is the v'th term of 2033, 2032, 2029, 2024, 2017, 2008? -v**2 + 2*v + 2032 What is the n'th term of 310, 302, 304, 322, 362? n**3 - n**2 - 12*n + 322 What is the f'th term of -696, -1391, -2086, -2781, -3476, -4171? -695*f - 1 What is the y'th term of 16, -1, -22, -47, -76, -109? -2*y**2 - 11*y + 29 What is the a'th term of -2542, -2536, -2530? 6*a - 2548 What is the f'th term of 33, 61, 93, 129, 169? 2*f**2 + 22*f + 9 What is the x'th term of 270, 273, 278, 285? x**2 + 269 What is the h'th term of 15, -7, -53, -129, -241, -395, -597? -h**3 - 6*h**2 + 3*h + 19 What is the a'th term of 372, 738, 1098, 1452? -3*a**2 + 375*a What is the y'th term of 10, 32, 68, 124, 206, 320, 472, 668? y**3 + y**2 + 12*y - 4 What is the c'th term of 120, 139, 170, 213, 268, 335? 6*c**2 + c + 113 What is the m'th term of 226, 241, 270, 319, 394, 501, 646, 835? m**3 + m**2 + 5*m + 219 What is the j'th term of 22, 24, 18, -2, -42, -108? -j**3 + 2*j**2 + 3*j + 18 What is the n'th term of -19, -55, -121, -223, -367? -n**3 - 9*n**2 - 2*n - 7 What is the y'th term of -1, 0, 1, 2, 3, 4? y - 2 What is the k'th term of 10, 35, 74, 127, 194, 275? 7*k**2 + 4*k - 1 What is the r'th term of 122, 486, 1092, 1940? 121*r**2 + r What is the z'th term of -107, -219, -319, -401, -459, -487? z**3 - 119*z + 11 What is the s'th term of 49, 54, 57, 58, 57, 54, 49? -s**2 + 8*s + 42 What is the c'th term of 1670, 1678, 1686, 1694, 1702, 1710? 8*c + 1662 What is the l'th term of -402, -397, -388, -375, -358, -337? 2*l**2 - l - 403 What is the i'th term of 1790, 3588, 5398, 7226, 9078, 10960, 12878? i**3 + 1791*i - 2 What is the o'th term of 54, 104, 152, 198, 242, 284, 324? -o**2 + 53*o + 2 What is the u'th term of 22, 18, 14, 10, 6? -4*u + 26 What is the d'th term of -12, -31, -64, -117, -196, -307? -d**3 - d**2 - 9*d - 1 What is the d'th term of -333, -659, -983, -1305? d**2 - 329*d - 5 What is the q'th term of -9, -23, -39, -57, -77? -q**2 - 11*q + 3 What is the g'th term of -4491, -4495, -4501, -4509, -4519, -4531? -g**2 - g - 4489 What is the y'th term of 38537, 77074, 115611? 38537*y What is the a'th term of -124, -252, -382, -514, -648? -a**2 - 125*a + 2 What is the h'th term of 142, 171, 200, 229? 29*h + 113 What is the q'th term of -3, -46, -91, -138, -187, -238, -291? -q**2 - 40*q + 38 What is the q'th term of -84, -168, -254, -342, -432, -524, -618? -q**2 - 81*q - 2 What is the u'th term of -277, -275, -271, -265, -257, -247, -235? u**2 - u - 277 What is the n'th term of 71, 67, 59, 47, 31, 11? -2*n**2 + 2*n + 71 What is the a'th term of -36, 12, 162, 468, 984? 9*a**3 - 3*a**2 - 6*a - 36 What is the n'th term of 35, 37, 39, 41, 43, 45? 2*n + 33 What is the o'th term of 72, 224, 478, 840, 1316, 1912? o**3 + 45*o**2 + 10*o + 16 What is the r'th term of 2367, 4733, 7099, 9465, 11831, 14197? 2366*r + 1 What is the y'th term of 27, 33, 39, 45, 51? 6*y + 21 What is the a'th term of 33, -22, -101, -198, -307, -422, -537? a**3 - 18*a**2 - 8*a + 58 What is the k'th term of -28, -41, -40, -19, 28? k**3 + k**2 - 23*k - 7 What is the i'th term of 17, 24, 35, 50, 69, 92, 119? 2*i**2 + i + 14 What is the c'th term of -53, -84, -137, -212, -309, -428, -569? -11*c**2 + 2*c - 44 What is the r'th term of -4408, -17631, -39668, -70519, -110184, -158663? -4407*r**2 - 2*r + 1 What is the w'th term of 294, 586, 878? 292*w + 2 What is the j'th term of 92, 185, 278, 371, 464, 557? 93*j - 1 What is the c'th term of 306, 595, 882, 1167? -c**2 + 292*c + 15 What is the p'th term of -120, -564, -1304, -2340, -3672? -148*p**2 + 28 What is the c'th term of 30, 45, 68, 99, 138, 185? 4*c**2 + 3*c + 23 What is the f'th term of -61, -91, -145, -235, -373, -571, -841? -2*f**3 - 16*f - 43 What is the h'th term of -29, -61, -89, -113, -133? 2*h**2 - 38*h + 7 What is the p'th term of 2, 8, 6, -16, -70, -168, -322, -544? -2*p**3 + 8*p**2 - 4*p What is the d'th term of 202, 355, 508? 153*d + 49 What is the a'th term of -154, -643, -1458, -2599? -163*a**2 + 9 What is the u'th term of -1110, -1109, -1108, -1107? u - 1111 What is the k'th term of -1131, -1120, -1097, -1056, -991? k**3 + 4*k - 1136 What is the l'th term of -330, -321, -302, -267, -210, -125, -6, 153? l**3 - l**2 + 5*l - 335 What is the t'th term of -110, -238, -392, -584, -826? -2*t**3 - t**2 - 111*t + 4 What is the u'th term of 9, 2, -7, -18? -u**2 - 4*u + 14 What is the p'th term of -130, -258, -386, -514? -128*p - 2 What is the d'th term of -75, -72, -65, -54, -39? 2*d**2 - 3*d - 74 What is the a'th term of -51, -40, 17, 144, 365, 704, 1185, 1832? 4*a**3 - a**2 - 14*a - 40 What is the j'th term of 195, 187, 173, 153, 127? -3*j**2 + j + 197 What is the x'th term of 1, -13, -37, -71, -115, -169, -233? -5*x**2 + x + 5 What is the c'th term of -1474, -1473, -1480, -1501, -1542? -c**3 + 2*c**2 + 2*c - 1477 What is the q'th term of 171, 291, 411, 531, 651, 771? 120*q + 51 What is the h'th term of 230, 449, 654, 839, 998? -h**3 - h**2 + 229*h + 3 What is the f'th term of -96, -128, -188, -282, -416, -596? -f**3 - 8*f**2 - f - 86 What is the s'th term of -10, -35, -82, -151, -242, -355, -490? -11*s**2 + 8*s - 7 What is the m'th term of 4, -2, -34, -104, -224, -406, -662? -2*m**3 - m**2 + 11*m - 4 What is the i'th term of 168, 206, 284, 414, 608, 878, 1236? 2*i**3 + 8*i**2 + 158 What is the l'th term of 67, 139, 211, 283, 355? 72*l - 5 What is the m'th term of 2480, 2494, 2520, 2564, 2632, 27
{ "pile_set_name": "DM Mathematics" }
j(h) = -40*h - 23. Suppose 0 = -g - 3 - 2. Let v(a) = -79*a - 45. Let m(n) = g*j(n) + 3*v(n). What is the derivative of m(u) wrt u? -37 Let f = 1 + 3. What is the derivative of 0*m**f - 5*m**4 + 29 - 35 wrt m? -20*m**3 Let z(r) be the first derivative of -8/3*r**3 + 13/4*r**4 + 0*r + 0*r**2 + 2. Find the third derivative of z(g) wrt g. 78 Differentiate -10*j**3 - 6*j**3 - 29*j**3 - 2*j**2 - 21*j**3 + 4*j**2 - 541 wrt j. -198*j**2 + 4*j Let t(a) = 2*a**3 + a - 1. Let i(b) = 68*b**4 + 11*b**3 + 7*b + 12. Let l(w) = -i(w) + 6*t(w). What is the second derivative of l(g) wrt g? -816*g**2 + 6*g Let d = -2 - -5. Suppose -4*c + 4 = 3*g - 7*g, -c - d = -3*g. What is the third derivative of 4*z - 2*z + 2*z**2 + z**4 - g*z wrt z? 24*z Let p(b) = 28*b**3 - 6*b + 65. Let f(l) = -l**3 - l + 1. Let u(z) = 6*f(z) - p(z). Differentiate u(s) with respect to s. -102*s**2 Find the third derivative of 2063*f**2 + 2000*f**2 - 730*f**3 - 3922*f**2 wrt f. -4380 Let m = -12 + 24. Let y(k) = -k + 14. Let q be y(m). What is the derivative of -26 - q*b**2 + 42 - 20 wrt b? -4*b Let v be (-9)/(540/53) + 1. Let y(u) be the third derivative of -v*u**5 + 0*u**4 + 2/3*u**3 + 0*u + 5*u**2 + 0. What is the first derivative of y(c) wrt c? -14*c Let i(h) be the second derivative of h**4/6 - 7*h**3 - 23*h**2/2 - 195*h. What is the first derivative of i(d) wrt d? 4*d - 42 Let g(q) be the first derivative of -30 + 59 + 4*q - 2*q**3 - 26. Differentiate g(c) wrt c. -12*c Let s(a) = -61*a**3 + 344*a**2 - 21*a. Let g(p) = 59*p**3 - 344*p**2 + 18*p. Let d(v) = -7*g(v) - 6*s(v). What is the third derivative of d(q) wrt q? -282 Suppose -4*y + 4 = 4*c, 2*c + 4 = 4*y + 5*c. Let l(o) be the first derivative of y + 9 - 4 + o**3 + o**5 + o**3. Find the third derivative of l(j) wrt j. 120*j Suppose -11 - 1 = -4*i. Let k be -3 - i/(6/(-4)). Let b(v) = -3*v**2 - 2*v + 1. Let j(a) = a. Let d(m) = k*b(m) - 2*j(m). Differentiate d(y) with respect to y. 6*y Let i be (-2 + 8)*3/6. What is the second derivative of 18*d**5 + 14*d - 7*d + i*d wrt d? 360*d**3 Let w be ((-4 - -3) + 0)*-1. Let o(c) = c + 1. Let s be o(w). Find the third derivative of -g**4 - 5*g**s + 10*g**2 + 4*g**4 wrt g. 72*g Let f be ((-9)/15)/((-1)/5). Suppose -f*l + m = -0*l - 12, -l - 3*m = -4. What is the second derivative of 5*k**4 - 4*k**4 + k**l - 7*k wrt k? 24*k**2 What is the first derivative of 17145*u**3 - 58 - 33*u**4 - 17145*u**3 wrt u? -132*u**3 Suppose -3*u + 13 = -2. What is the first derivative of -12*m**3 - m**3 + 1 - 2 - u wrt m? -39*m**2 Let f(n) be the third derivative of 0*n**6 + 0*n**7 + 4*n**2 - 13/168*n**8 + 0*n**3 + 0*n**4 - 1/2*n**5 + 0*n + 0. What is the third derivative of f(t) wrt t? -1560*t**2 What is the first derivative of 12*y - 136 - 95*y**2 - 3*y - y - 8*y wrt y? -190*y Let o(f) be the third derivative of -f**7/105 - 113*f**6/120 + 19*f**5/6 - 5*f**2 - 20. What is the third derivative of o(r) wrt r? -48*r - 678 Differentiate 23 + 2*x**3 + 0*x**3 - 5*x**3 + 3 + 5*x wrt x. -9*x**2 + 5 Let v(d) = d**3 + 10*d**2 - 25*d - 8. Let a be v(-12). Let n be (-11)/(-3) - 2/3. What is the first derivative of -2*l**3 + 5 - n + a wrt l? -6*l**2 Let d(m) be the third derivative of 0*m + 0 + 0*m**5 + 0*m**6 + 0*m**4 - 13/3*m**3 + 4/105*m**7 - 24*m**2. Find the first derivative of d(l) wrt l. 32*l**3 Let x(s) = 2*s**3 - s**2 + 1. Let w be x(1). What is the second derivative of 5*a + 12*a + 26*a**4 + 0*a**4 + w*a**4 wrt a? 336*a**2 Let x(n) be the first derivative of -3*n**4/4 + 17*n**3/3 + 19*n**2 - n - 103. Find the second derivative of x(j) wrt j. -18*j + 34 Let q = -28 + 31. Find the second derivative of 9*s - q*s - 15*s + 4*s**4 wrt s. 48*s**2 Let h = 556 - 553. Let y(f) be the second derivative of -1/12*f**4 + 0*f**3 + h*f**2 + 0 + 7*f. What is the derivative of y(k) wrt k? -2*k What is the third derivative of 333*o**2 + 19*o**4 + 27*o**4 - 25*o**6 + 7*o**4 + 21*o**6 wrt o? -480*o**3 + 1272*o Let j(q) = -q - 1. Let k(o) = -3*o - 4. Let u be k(0). Let r(c) = c + 4. Let m(x) = u*j(x) + r(x). What is the derivative of m(b) wrt b? 5 Let t(f) be the second derivative of -f**7/105 - 7*f**5/30 + 11*f**4/6 - 38*f. Let x(z) be the third derivative of t(z). What is the derivative of x(v) wrt v? -48*v Suppose -8*d + 30 = -6*d. What is the third derivative of -28*z**5 - 16*z**2 + d*z**2 + 19*z + 0*z**2 wrt z? -1680*z**2 What is the third derivative of 211*m**6 - 25 - 197*m**6 + 25 + 10*m**5 - 84*m**2 wrt m? 1680*m**3 + 600*m**2 Suppose 56 = -5*g + 66. Find the third derivative of -7*r**2 + 17*r**2 + 12*r**4 + 10*r**g wrt r. 288*r Let k(n) be the third derivative of -4*n**9/21 + 2*n**5/15 - n**4/8 + 2*n**2 + 6*n. What is the third derivative of k(o) wrt o? -11520*o**3 Let l be (-68)/4 - -2*1. Let n = l + 32. What is the third derivative of 13*o**3 - n*o**3 + 7*o**3 + 4*o**2 wrt o? 18 Let w(b) be the second derivative of -b**7/42 - 93*b**5/20 - b**4/12 + 81*b**2 - 97*b. What is the third derivative of w(m) wrt m? -60*m**2 - 558 Let f(y) be the second derivative of 7*y**7/6 + 109*y**4/6 - 10*y - 16. Find the third derivative of f(t) wrt t. 2940*t**2 Let f(g) = -81*g**2 + 114. Let c(a) = 163*a**2 - 230. Let b(j) = 2*c(j) + 5*f(j). What is the first derivative of b(v) wrt v? -158*v Let n be (2 - 4 - 40/(-32))*-4. What is the third derivative of -v - 7 + v**2 + v - 46*v**n + 69*v**3 wrt v? 138 Let b(r) be the first derivative of r**7/7 + 51*r**4/2 - 23*r**3/3 + 203. What is the third derivative of b(m) wrt m? 120*m**3 + 612 Suppose -5*u + 10 = -0*u. Let v be (15/4)/(-3 + 51/16). What is the third derivative of -4*q**2 - 3*q**2 - 3*q**6 + v*q**u wrt q? -360*q**3 Let f(i) = i**2 + 5*i - 4. Let o be f(-6). What is the second derivative of -18*h**2 - 5*h**o - 11*h + 35*h**2 wrt h? 24 Let w(y) = 27*y**4 - y + 13. Let g(r) = -54*r**4 + 2*r - 26. Let b(x) = 4*g(x) + 10*w(x). Find the second derivative of b(u) wrt u. 648*u**2 Find the first derivative of -333 + 49*v + 15*v + 383 wrt v. 64 Let h(g) be the second derivative of 10*g**6/3 + 99*g**4/4 + 202*g. What is the third derivative of h(x) wrt x? 2400*x Let x(j) be the first derivative of j**3/3 - j + 2. Let i(w) = -9*w**2 - 3*w + 7. Let k(h) = -2*i(h) - 14*x(h). What is the second derivative of k(f) wrt f? 8 Let x(r) be the first derivative of 147*r**4/2 - 2*r**3/3 - r**2 - 77*r + 317. Find the second derivative of x(u) wrt u. 1764*u - 4 Let c(v) be the second derivative of v**6/60 - 3*v**5/20 - v**4/3 - 11*v. Let x(g) be the third derivative of c(g). Differentiate x(f) wrt f. 12 Let r(l) = -939*l**3 - 390*l**2 - 10. Let w(z) = 469*z**3 + 195*z**2 + 4. Let o(k) = 2*r(k) + 5*w(k). What is the third derivative of o(s) wrt s? 2802 Suppose 0 = -5*t + 5*m - 40, 4*t + 32 = -0*m - 2*m. Let g be -9*-2*(-4)/t. Find the second derivative of -11*u**5 - g*u - u**5 + 2*u**5 + 7*u**5 wrt u. -60*u**3 Let y(b) = b**3 - 2*b**2 + 19*b. Let h(t) = 5*t**2 + 382*t - 2*t**2 - 401*t - t**3. Let x(l) = 2*h(l) + 3*y(l). What is the second derivative of x(g) wrt g? 6*g Differentiate 120 + 0*d - 73*d**2 - 15 + 0*d with respect to d. -146*d Let u(l) = l - 2. Let w(m) = -2*m + 4. Let d(r) = -7*u(r) - 3*w(r). Let z be d(-1). What is the first derivative of 1 + 52*x**3 - 8 - 52*x**z - 5*x**4 wrt x? -20*x**3 Suppose -3*n + 12 = -n. What is the second derivative of -25 + 8 + 2*a + 9 + 9 + 2*a**5 - n*a**2 wrt a? 40*a**3 - 12 Let z(s) = -5*s + 3. Let v(w) = 10*w - 5 - 10*w + 9*w. Let p(k) = 6*v(k) + 13*z(k). What is the derivative of p(t) wrt t? -11 Let a(m) = -182*m**2 - 29*m - 259. Let j(o) = 90*o**2 + 11*o + 130. Let s(x) = -2*a(x) - 5*j(x). Differentiate s(p) with respect to p. -172*p + 3 Let o(b) be the first derivative of -92*b**6/3 - 110*b**3/3 + 656. Find the third derivative of o(u) wrt u. -11040*u**2 Let w(c) be the first derivative of 29*c**4/2 - c**3 - 12*c**2 - 12. Find the third derivative of w(b) wrt b. 348 Let r(w) be the second derivative of 7*w**4/4 - 5*w**3/6 + 133*w**2/2 - 14*w - 3. What is the derivative of r(n) wrt n? 42*n - 5 Let a(x) = -x - 1. Let w(p) = 167*p**2 - 4*p - 330. Let u(y) = -4*a(y) + w(y). Differentiate u(k) with respect to k. 334*k Suppose 14 = -5*n - 16. Let p(m) = 19*m**2 - 8*m - 6. Let w(i) = -20*i**2 + 8*i + 7. Let s(l) = n*w(l) - 7*p(l). What is the second derivative of s(j)
{ "pile_set_name": "DM Mathematics" }
r a. 1 Suppose 0 = -15*w + 269 + 31. Solve -x = -w + 22 for x. -2 Suppose -2*h = -20*h. Solve h = -4*n + 5 + 7 for n. 3 Let s(o) = -3*o - 6. Let y be s(0). Let j be (4/y)/(4/(-12)). Solve 3*c + j*c + 20 = 0 for c. -4 Suppose -m + 314 - 306 = 3*r, -4*r - 3*m + 9 = 0. Suppose -4*k + 7*k = 24. Solve -r*h + k*h = 0 for h. 0 Let u be (-171 + -3)*4/(-12). Solve 12*s - 2 - u = 0 for s. 5 Suppose -72*a - 215 = -115*a. Suppose -2*j = j - 5*i + 5, 2*j = 2*i - 2. Suppose j = 2*k - k. Solve 0 = -k*g - a*g for g. 0 Suppose r = -3*r + 20. Suppose 3*n + j - 2 - 3 = 0, 3*n + 2*j - 1 = 0. Suppose -2*l = -5*v - 13, 2*l - 1 = l - n*v. Solve r*y + 6 + l = 0 for y. -2 Let a(g) = -3*g + 80. Let z be a(24). Solve -v = v + z for v. -4 Let m(j) = j**2 - 48*j + 137. Let u be m(45). Solve u*p + 2 = -0 for p. -1 Let m = 240 + -240. Solve -3*n = -m*n - 3 for n. 1 Let c = 730 + -707. Solve -3 = -c*q + 26*q for q. -1 Let z = -120 + 134. Let n be -21*(-5 - z/(-3)). Solve -2*w - 1 = n for w. -4 Suppose 12 = -3*u, 2*u = 3*h - 2*u - 31. Let c = 13 + -39. Let j be (-4)/c + (-222)/(-78). Solve j*t - 8 = h*t for t. -4 Let a = -6 + 16. Suppose -24 = 27*j - 29*j. Let k = j - a. Solve 0 = k*w - 2 - 0 for w. 1 Let a = -129 + 148. Suppose a = 15*m + 4. Solve -u - m = 3 for u. -4 Let i = 103 + -69. Let s = 37 - i. Solve -2*c - 5 = s*c for c. -1 Let y = -40 - -49. Let n be (-32)/(-24)*y/2. Solve 0 = -b - b + n for b. 3 Let z be -4*14/(-4) - (-21 + 23). Solve 0 = -z*t + t - 55 for t. -5 Let s(n) be the second derivative of -7*n**5/20 + n**4/6 - n**2/2 + n. Let w be s(-1). Let g be ((-10)/4)/(3/(24/(-10))). Solve 2*o - g = w for o. 5 Let x = -33 - -35. Suppose -3*p + 2*a - 6*a + 27 = 0, x*a = p + 1. Solve -l + p - 1 = 0 for l. 4 Let m(a) = a**3 + 28*a**2 + 48*a - 99. Let t be m(-26). Solve -16 + 11 = -t*w for w. 1 Suppose 0 = 6*z - 5*z - 4. Suppose -z*m = -5*m. Solve -u + 6*u - 10 = m for u. 2 Let h(m) = -16*m**2 - m. Let f(i) = i - 4. Let p be f(3). Let x be h(p). Let k be 3/x + 96/30. Solve 4 = a + k*a for a. 1 Let q(d) be the first derivative of -3*d**2/2 - 32*d + 9. Let m be q(-13). Solve 15 = -2*i + m*i for i. 3 Let n be 1/(-4) - (-39)/12. Suppose -4*j = -n*j - 16. Let y = j - 13. Solve -y*d = -d + 10 for d. -5 Let c(l) be the second derivative of l**4/12 + 23*l**3/6 + 11*l**2 - 6*l. Let h be c(-22). Solve h - 6 = -3*g for g. 2 Let w be (-6)/(-3) + 23 + 1. Let x = w + -11. Suppose i - 5*i + 12 = 0. Solve -2*m + x = i*m for m. 3 Suppose -g + 5 - 1 = 0. Suppose 0*w - g = -2*w. Suppose -8 + w = -3*s. Solve s*u + 4 = -4 for u. -4 Suppose 5*c + 2*p - 27 - 10 = 0, -2*c + 5*p + 9 = 0. Suppose 0 = c*f - 10 - 53. Solve -4 + f = t for t. 5 Let k = 106 - 102. Solve k*u = 2*u + 8 for u. 4 Let x(l) = -3*l + 12. Suppose 2 = -2*s + 10. Let h be x(s). Suppose -15 = -4*g + 25. Solve -2*z = -h*z - g for z. 5 Suppose 2*z + 2*u = 10, 2*z + 8*u = 3*u + 16. Solve r = -z*r for r. 0 Suppose -3 = 8*i - 19. Let d be (i/(6/(-3)))/((-1)/6). Solve -3*w + w - d = 0 for w. -3 Suppose 2*x = -3*f + 172, -f + 5*f + 5*x = 220. Solve -12 = f*d - 56*d for d. -3 Let o(v) = 2*v + 6. Let r be o(-8). Let u be r/(-3)*(-3 + 21/5). Solve 0 = u*l - 20 for l. 5 Let g(t) = t + 7. Suppose -2*d - 6 = 5*r + 18, r = d + 5. Let v be g(d). Suppose -u - 1 + 8 = v. Solve -12 = u*o - 3*o for o. -3 Suppose z - p + 3 + 0 = 0, 5*z + 5*p - 15 = 0. Solve h = -z*h - 5 for h. -5 Let o = -26 - 27. Let u = o + 73. Solve -b + 6*b - u = 0 for b. 4 Let d(v) = v**2 - 8*v + 6. Let a be d(7). Let h = a - -5. Solve -3*x = -x + h for x. -2 Let d(p) = 4*p - 5. Let m be d(4). Suppose -22 = -5*i - 4*b, -3*i = -4*i - 3*b + m. Let x be 1*(-1 - (-2)/2). Solve x = -5*g + 3 + i for g. 1 Let b = 12 - -8. Let d be b/8 - (-1)/2. Let o be (-2)/(4/(-24)*d). Solve -o*m - 10 = -2*m for m. -5 Let p(o) = o**2 - 13*o + 44. Let j be p(7). Solve -9 = j*a - 3 for a. -3 Let u be 2*2*(-81)/36. Let n be (u/6)/(2/(-12)). Suppose 5*w - 30 = 5*m, 0*w + w - 4*m = n. Solve c = -0*c - w for c. -5 Suppose 13 - 58 = -5*m - 2*y, -2*m = -2*y - 4. Solve -m = 2*h + 3 for h. -5 Suppose -117*v + 162 = -63*v. Suppose 23 = 4*b - b + 5*q, 0 = -5*b + 2*q + 28. Solve b = 3*k - v for k. 3 Let f(a) = 2*a + 1. Let l(n) = n**2 + 2*n. Let v(h) = -2*f(h) + 3*l(h). Let p be v(1). Suppose -p*t + 25 = 2*t. Solve t*b = b for b. 0 Let r = -2 - -2. Let x = -187 + 191. Solve r*l = x*l for l. 0 Let r(u) = u**2 + 7*u + 2. Let z be r(0). Let i be 42/(-4)*8/(-12). Solve z*c = i*c + 20 for c. -4 Suppose 4*x + 51 = 2*s - 99, -3 = s. Let u = 26 + x. Let p be 10/(-30) - u/3. Solve 2*c - p*c - 2 = 0 for c. -1 Let n(g) = -2*g**3 - 4*g**2 - g - 1. Let w = -2 + -1. Let t be n(w). Suppose d - 5*d + t = 0. Solve q - 16 = d*q for q. -4 Suppose 5*s = 5*x - 105, 5*s - 3*s = 6. Let f = x + -15. Solve -u + 4*u - f = 0 for u. 3 Suppose -1 = y - 3. Suppose -2 = -y*z - 0. Let l be 6*(-8)/12 + 4. Solve l = k + 4 - z for k. -3 Let h = -3 + 2. Let a be 2/(-7) - (-16)/56. Let c be 3 + (a - (h + 2)). Solve c*y = y for y. 0 Let l be (0 - -4)*(-55)/(-44). Suppose -4*s - 4 + 11 = i, -2*s = l*i + 19. Let q = -19 + 23. Solve -s*r = -5*r + q for r. 2 Let o = 0 - -13. Let b(s) = s**3 - 12*s**2 - 14*s + 13. Let w be b(o). Suppose w = 6*q + q. Solve q = j + j - 10 for j. 5 Let z(l) = -l**3 + 11*l**2 - 34*l + 374. Let q be z(11). Solve 0*s - 7*s + q*s = 0 for s. 0 Let a(r) = r**3 + 5*r**2 - 27*r - 19. Let w be a(-8). Solve 2*z + 7 = w for z. -1 Let m be 18/(-63)*-1*(18 - -3). Solve 0 = m*i - 1 - 17 for i. 3 Suppose 6*l - l - 4*u - 146 = 0, 91 = 3*l + u. Suppose -2*t - 3*d + 14 = -18, t + 5*d - l = 0. Solve 3*y + t = -2*y for y. -2 Let a be (6 + 70/(-15))*12. Solve -7*r - a + 44 = 0 for r. 4 Suppose 0 = -5*p - 0 + 15. Let d be (-210)/(-5)*12/14. Suppose -l - p*l = -d. Solve 2*f - l = -f for f. 3 Suppose 0 = -2*y + 4*o + 12, y + 2*y + 2*o = -6. Suppose -16 = 3*k + 2. Let f = k - -10. Solve -j + f = -y for j. 4 Suppose 156 = -14*j + 464. Solve -j = 8*g + 2 for g. -3 Suppose z + 3*d = -153, -4*z + 5*d - 623 = 6*d. Let n be (-3)/((-2)/(z/(-9))). Suppose -n = s - 3*s. Solve -4*v + 3 = -s for v. 4 Suppose 2*t + t = -3*t. Suppose t = a - 2 - 4. Solve b - a = -1 for b. 5 Let f be ((5 - 7) + -1)*(-4)/(-3). Let t be f/10 - (47/(-5) + 1). Solve -2 = -5*z + t for z. 2 Let t be 2/1*(-3 + (-63)/(-9)). Solve 32 = t*v - 0*v for v. 4 Suppose u + 32 = 5*u. Let m(r) = -2*r + 16. Let v be m(u). Suppose 5*h - 8 = h. Solve p + h*p - 12 = v for p. 4 Let v(u) = 2*u + 12. Let n = 10 + -5. Suppose -25 = -0*w + n*w. Let t be v(w). Solve t*p + 4 = -2 for p. -3 Let q be 6 - 2/(-6)*-3. Solve 4*z + 3 = -q for z. -2 Suppose 9*i - 17 = 19. Suppose i*f - 3*q - 1 = -5, f = -3*q + 14. Solve r - 6 + f = 0 for r. 4 Let p(c) = c + 17. Let z be p(-14). Let a = z - -27. Suppose -a = 6*d - 11*d. Solve -3*h = d - 18 for h. 4 Suppose -56*b + 49*b = 0. Solve b = 4*t - 17*t - 26 for t. -2 Let w(y) = y**2 + 5*y. Let k be w(-6). Suppose -4*c - 2*f = 0, 3*c + 3*f - k*f - 9 = 0. Suppose -6 = -5*t - c. Solve -3 = h - t for h. -2 Let z(x) = -x**2 + 3. Let h be z(-1). Solve h*v - 3 = 3 for v. 3 Let t(s) = -115*s**2 - 807*s - 2. Let r be t(-7). Solve -r = 5*y - y for y. -3 Let m = 41 + 52. Let z = 94 - m. Solve 2*d - d = -z for d. -1 Suppose 4*x + 36 = x. Let r be 3/4 + 9/x. Solve r*t = t for t. 0 Let l = -95 - -97. Suppose 18 - 14 = l*x. Solve n = -n - x for n. -1 Let x(t) = -2*t + 2. Let p be x(-2). Solve r + p = -2*r for r. -2 Let f be -19 - (-2 - (0 + 2)). Let y = 17 + f. Solve -c + y = -3 for c. 5 Suppose 158*q = 163*q - 15. Let v be (2 - (q - 0))/((-1)/5). Solve y + 0 - v = 0 for y. 5 Let p(n) = -6*n + 62. Let z be p(10). Solve 2*s = 3*s - z for s. 2 Let f be (-6)/8 - (-46)/8. Solve 25 = -0*v + f*v for v. 5 Suppose 0 = 18*d - 521 + 71. Solve 3*r - d = 8*r for r. -5 Let a(r) be the second derivative of -r**5/20 - r**4/4 + r**2/2 - 7*r. Let v be a(0). Solve 2*d = -v + 7 for d. 3 Let v = -445 + 460. Solve -19*g + v*g + 8 = 0 for g. 2 Let z be 6/11*99/18. Solve 0 + 0 = z*i for i. 0 Suppose 9 = -0*q + q. Let h be 42/189 - (-25)/q. Solve -h*k = -14 - 1 for k. 5 Suppose -6*c - 5 = -5. Suppose -15*s - 26 = -18*s + 5*i, 4*s + i - 4 = c. Solve 6 = s*m - 2 for m. 4 Suppose -3743*d + 3738*d + 75 = 0. Solve -10*b + d*b = 0 for b. 0 Suppose -4*x = d + 118 - 509, 2*d = -10. Solve x = 5*h + 109 for h. -2 L
{ "pile_set_name": "DM Mathematics" }
161*n + 14. Let q(t) = 15*t**2 - 56*t + 5. Determine -17*q(k) + 6*v(k). 21*k**2 - 14*k - 1 Let o(a) = -3*a**3 + 2. Let s(x) = -x + 20. Let b be s(2). Suppose 0 = b*v - 14*v - 164. Let j(y) = -v + 50*y**3 - 11 + 17. What is -2*j(c) - 35*o(c)? 5*c**3 Let g(k) = k + 1. Suppose -309*m - 400 = -317*m. Let n be (-1 - (-5 + 6)) + 3. Let l(a) = 10*a**3 - 50*a - 50. Calculate m*g(w) + n*l(w). 10*w**3 Let v(l) = 5*l**2 - 291*l + 11. Let a(t) = 17*t**2 - 874*t + 38. What is 2*a(x) - 7*v(x)? -x**2 + 289*x - 1 Let b(a) be the third derivative of -a**4/12 - 3*a**2. Let o(m) = -29. Let j(q) = -q - 290. Let k(w) = -j(w) + 10*o(w). Give 6*b(u) + 5*k(u). -7*u Let n(m) = -33*m - 205. Let p(t) = -40*t - 208. Give 6*n(b) - 5*p(b). 2*b - 190 Let j(v) = 0*v - 4 + 0*v - v. Let s be 18/(-1 + 4) - 1. Let t(l) be the first derivative of -l**2/2 - 3*l + 3389. What is s*t(g) - 4*j(g)? -g + 1 Let x(b) = 2*b**2 + 9. Let q(s) be the first derivative of s - 304. Let t be (-6)/(-4)*4/(-24)*4. Calculate t*x(u) + 5*q(u). -2*u**2 - 4 Suppose j - 5*h - 29 = 0, 36 = 5*j + 3*h + 3. Suppose 0 = j*d + 19*d + 56. Let m(z) = -6*z**2. Let x(u) = 31*u**2. Calculate d*x(i) - 11*m(i). 4*i**2 Let y = -479 - -474. Let b(p) = 2*p**3 + 4*p**2. Let a be (-51)/(-6) + 1/2. Let l(i) = -2*i**2 + i + 3*i**3 - 2*i + a*i**2. Give y*b(n) + 3*l(n). -n**3 + n**2 - 3*n Let w(n) = -48*n + 98. Let t(p) = 7*p - 20. Calculate -11*t(a) - 2*w(a). 19*a + 24 Let h(g) = -4*g**3 + 13*g**2 + 3*g + 9. Let j be h(3). Let m(p) = p**2 + j*p - 27*p + 5*p**2 - 6 + 9*p**2. Let z(q) = 44*q**2 - 17. What is 17*m(t) - 6*z(t)? -9*t**2 Let o(w) = -3*w**2 + 2*w**2 - 3 - 5. Let p(s) = 3*s**2 + 15. Suppose 920 = 409*x - 593*x. Determine x*o(t) - 2*p(t). -t**2 + 10 Let x(b) = 3 - 8 + 2 - 2 - 6*b. Let s(d) = 3*d + 3. Suppose -2*t + 25 = 3*t. Give t*s(a) + 3*x(a). -3*a Let k(m) = 16*m**2 - 7*m - 5. Let g(b) = 104*b - 2 + 14475*b**2 - 106*b - 14470*b**2. Give -7*g(c) + 2*k(c). -3*c**2 + 4 Let s(v) = 7*v + 1. Let z(n) = -10*n - 2. Let w(j) = -7*s(j) - 5*z(j). Let b(l) = 99*l**2 - 3 - 298*l**2 + 99*l**2 - 2*l + 101*l**2. Calculate -2*b(i) - 3*w(i). -2*i**2 + i - 3 Let r(n) = 23*n**2 + 11*n - 64. Let a(f) = -35*f**2 - 17*f + 98. Calculate 5*a(s) + 8*r(s). 9*s**2 + 3*s - 22 Let x(i) = i**2 - i. Let b(w) = 160 + 122 + 0*w + 6*w - 5*w**2 - 297. Give -b(k) - 6*x(k). -k**2 + 15 Let c(f) = 27*f**2 + 794. Let u(s) = -122*s**2 + s - 3175. What is 9*c(b) + 2*u(b)? -b**2 + 2*b + 796 Let o(r) = 4*r**2 - 17*r. Let g(v) = -2*v - 1. What is -6*g(s) + o(s)? 4*s**2 - 5*s + 6 Let o(k) be the second derivative of k**4/12 - k**2/2 - 50*k + 6. Let p(a) = -5*a**2 + 2*a + 10. Calculate 6*o(v) + p(v). v**2 + 2*v + 4 Let p(t) = -5954*t**3 - t**2 - 4 - 1 + 5951*t**3. Let s(w) = 3*w**3 + 2*w**2 + 6. Calculate 4*p(g) + 3*s(g). -3*g**3 + 2*g**2 - 2 Let q(j) = -21*j - 5. Let g be -5 + (-2 - 8 - -4). Let t(f) = -41*f - 9. Determine g*q(l) + 6*t(l). -15*l + 1 Let a(o) be the first derivative of 5*o**2/2 + 12*o + 2173. Let i(l) = l**2 - 11*l - 24. Give 5*a(k) + 2*i(k). 2*k**2 + 3*k + 12 Let f(j) = 21*j - 23*j + 6*j**2 + 17*j. Let g(v) = 13*v**2 + 31*v. Calculate 9*f(b) - 4*g(b). 2*b**2 + 11*b Let q(o) = 4*o. Let t be 2/9 - (-485)/45. Let k(g) be the third derivative of 0*g + 0 - 21*g**2 + 7/8*g**4 + 1/6*g**3. Give t*q(p) - 2*k(p). 2*p - 2 Let n(d) = 157*d**3 + d**2 + 4*d - 6. Let l(z) = -160*z**3 - z**2 - 3*z + 6. What is -4*l(k) - 3*n(k)? 169*k**3 + k**2 - 6 Let y(n) = 26*n. Let p(w) = 65*w + 572. Let v(c) = -33*c - 312. Let h(b) = 6*p(b) + 11*v(b). Determine -2*h(a) + 3*y(a). 24*a Let z(j) = 853*j + 6. Let p(m) = -3408*m - 27. Determine 4*p(n) + 18*z(n). 1722*n Let h(j) = -j + 8. Let f be h(10). Let v be (3*1 - (-30 + 20)) + -1. Let b(q) = -4 + 3 - 8*q - v*q + 19*q. Let x(t) = 1. Give f*x(p) - 2*b(p). 2*p Let z(h) = 2*h - 19. Let p(i) = i + 1. Suppose 137*r = -130*r + 284*r + 102. Calculate r*p(m) + 2*z(m). -2*m - 44 Let s(b) = 13*b**2 + 12*b - 2. Let k(f) = -2*f. Let n(t) = 10*k(t) + 2*s(t). Let x(y) = 649*y**2 + 99*y - 99. Give 99*n(u) - 4*x(u). -22*u**2 Let t(x) = -7*x**3 - 3*x**2 - 3*x - 13. Let s(f) = 13*f**3 + 7*f**2 + 5*f + 29. What is 2*s(o) + 5*t(o)? -9*o**3 - o**2 - 5*o - 7 Let k(l) = l - 1. Let j(d) = -16*d + 8 + 5 + 1. Suppose 0 = 5*c + 5*t - 10, -3*c + 9*t + 14 = 4*t. Let i = -1 + c. Calculate i*j(u) + 28*k(u). -4*u Let y = -10 - -16. Let p(b) = -44 + y*b - 47 + 94. Let x(t) = -t - 1. What is -p(u) - 4*x(u)? -2*u + 1 Let s(k) be the second derivative of 5*k**4/12 - k**3/6 - 3*k**2 - 1898*k. Let f(h) = -15*h**2 + 2*h + 17. Give -4*f(m) - 11*s(m). 5*m**2 + 3*m - 2 Let p(a) = -2*a**3 + a**2 + 2. Let t(b) = -2314*b**3 - 10*b**2 - 24. Give -12*p(z) - t(z). 2338*z**3 - 2*z**2 Let g(c) = -19*c**3 - 30*c**2 + 3*c - 3. Let k(n) = 9*n**3 + 13*n**2 - 2*n + 2. What is 3*g(w) + 7*k(w)? 6*w**3 + w**2 - 5*w + 5 Let z(s) = -6*s - 30. Let p(f) = -5*f - 22. Let a(b) = -7*p(b) + 5*z(b). Let q(g) = 19*g + 17. Determine -9*a(i) + 2*q(i). -7*i - 2 Let n be (-30)/(-45)*99/22. Let h(q) = -95*q + 35. Let t(b) = -8*b + 3. Give n*h(c) - 35*t(c). -5*c Let v(o) = -5*o**2 - 1118*o + 4. Let t(s) = -9*s**2 - 2229*s + 7. Determine 4*t(w) - 7*v(w). -w**2 - 1090*w Let v(r) = -236*r - 5. Let m(l) = 238*l + 5. What is 3*m(w) + 2*v(w)? 242*w + 5 Let m(f) = 2*f + 16. Let x(z) be the third derivative of -z**4/24 - z**3/6 + 10*z**2 + 24*z. Give m(h) + x(h). h + 15 Let s(x) = -17*x - 6. Let n(q) = 7 - 505*q - 6 - 4 - 8 + 471*q. Calculate 6*n(m) - 11*s(m). -17*m Suppose -394*n - 263 = 2101. Let b(i) = -6*i**3 + 6*i + 4. Let j be 1/(-2)*(-2 - 8). Let u(q) = -7*q**3 + 7*q + 5. Give j*u(a) + n*b(a). a**3 - a + 1 Let f(c) = -c**3 - c - 1. Suppose 0 = 1655*m - 1660*m + 30. Let r(i) = 3*i**3 + 6*i + 6. Give m*f(z) + r(z). -3*z**3 Let r(t) = 4*t**2 - t + 6. Let c(s) = 42*s**2 - 8*s + 70. Let y(o) = c(o) - 12*r(o). Let v(a) = -7 - 6*a**2 + 0*a + 5*a + 4. Give 4*v(q) - 5*y(q). 6*q**2 - 2 Let i(u) = 78*u. Let j(g) = -52*g. Suppose 12*x = 6*x + 42. Determine x*j(m) + 5*i(m). 26*m Let i(j) = 27*j**2 + 18*j - 18. Let u(c) = -c**2 - c + 1. Let d be (4 - 7)/(11/99) - -9. Determine d*u(z) - i(z). -9*z**2 Let t(j) = j**3 + 5*j**2 - 150*j - 5. Let z(p) = -2*p**2 + 75*p + 2. Calculate -2*t(k) - 5*z(k). -2*k**3 - 75*k Let p(y) = y**3 + y**2 - y + 1. Let f(d) = d**3 - d**2 - 2*d - 1. Let i = 31 - 32. Let v(w) = w**2 + 10*w - 40. Let s be v(3). What is i*f(g) + s*p(g)? -2*g**3 + 3*g Let m(w) = 2*w**2 - 2*w - 4. Let h(n) = 16*n - 120. Let s be h(8). Let c(i) = -s*i + 6 - 1 + 0 - 6*i**2 + 14*i + 6. Calculate 3*c(d) + 8*m(d). -2*d**2 + 2*d + 1 Let i be (58/(-20) + (-56)/(-140))*(-6)/(-5). Let z(h) = -170*h**3 + 50*h**2 - 50*h + 50. Let w(r) = -10*r**3 + 3*r**2 - 3*r + 3. Calculate i*z(f) + 50*w(f). 10*f**3 Let c(z) = 3*z**2 + 2*z + 77. Let h(b) = 2*b**2 + b + 38. Determine 4*c(d) - 9*h(d). -6*d**2 - d - 34 Suppose 21 = -3*p - 0. Let n(d) = -d - 3. Suppose 7 = -8*u + 7. Let b(m) = -414*m + u + 411*m - 10. Calculate p*n(h) + 2*b(h). h + 1 Let s(p) = -6*p - 8. Let i = 2 - 7. Suppose 2*r + 18 = -10. Let b(q) = 3*q - q + 16 + 16 - 41 + 12. Determine i*s(o) + r*b(o). 2*o - 2 Let p(q) = -3*q**2 - 25*q. Let k(u) = u**2 + 9*u. Let t(x) = 11*k(x) + 4*p(x). Let l(m) = m**2 - 5*m. Determine -2*l(a) + 10*t(a). -12*a**2 Suppose 2779*g = 2774*g + 5. Let w(s) = s**3 - s**2 + s + 1. Let t(i) = -8*i**3 + 4*i**2 - 4*i - 5. Calculate g*t(q) + 4*w(q). -4*q**3 - 1 Let b(n) = 14*n**2 - 4*n + 2. Let q(h) = h**2 - h + 1. Suppose 4351*l + 12 = 4348*l. What is l*q(i) + b(i)? 10*i**2 - 2 Let k = 667 - 653. Suppose 0 = 5*o + 17 + 28. Let i(r) = 2*r - 2. Let j(f) = -f + 1. Let h(b) = o*j(b) - 4*i(b). Let l(g) = 2*g - 3. Calculate k*h(w) - 6*l(w). 2*w + 4 Let p(f) = 16*f**2 + 23*f - 7. Let w(d) = 48*d**2 + 64*d - 19. Give -11*p(h) + 4*w(h). 16*h**2 + 3*h + 1 Let a(h) = 4*h + 2. Suppose -2*y + 4 = -0. Let w = 257 + -239. Suppose -4*c + v - 4*v - w = 0, -y*c = 4*v + 14. Let o(d) = 11*d + 5. What is c*o(p) + 8*a(p)? -p + 1 Let s(i) = 111*i. Let w(r) = -37*r. Let a(l) = 128*l - 2686. Let k be a(21). What is k*s(b) + 7*w(b)? -37*b Suppose 0*s + 3*s = -5*l + 5, 3*l = s - 11. Let u(a) = 4*a + 9 - 7 - s. Let f(w) = -2*w + 1. Let h = 29 + -34. Calculate h*f(v) - 2*u(v). 2*v + 1 Let g(f) = f**2 - 8*f + 39. Let k(w) = -2*w**2 + 18*w - 82. What is 13*g(q) + 6
{ "pile_set_name": "DM Mathematics" }
Which is the closest to 2/5? (a) -0.5 (b) 4.2 (c) 6 a What is the closest to 1 in 0.5, 0.17, 5? 0.5 Which is the nearest to 1? (a) 1/3 (b) -1.3 (c) 1 (d) 0.2 c What is the closest to -4/7 in 2/11, 3, -0.1? -0.1 What is the nearest to -1 in -36, 1, -2? -2 What is the closest to 38 in 1/3, 0.5, -1, 4? 4 What is the closest to 0 in 1/6, 0.56, -0.1? -0.1 Which is the nearest to 9/11? (a) 1/11 (b) 2 (c) -4/7 a What is the nearest to -0.19 in 0.2, -4, 1, 2/3? 0.2 Which is the nearest to -78? (a) 0.3 (b) 0.1 (c) -1 c Which is the nearest to -2/87? (a) -2 (b) -1 (c) 3 b What is the closest to 0.1 in 1/5, 0.5, -0.2, -3/5? 1/5 What is the nearest to 0.1 in 0, 3/2, -74, 3? 0 Which is the closest to 2/11? (a) -5/6 (b) -1/3 (c) 1/4 c What is the nearest to -2 in -3/4, 3, 3/58? -3/4 What is the closest to -0.07 in -5, -1/4, -34? -1/4 Which is the nearest to -0.1? (a) -3/4 (b) -1/6 (c) 1246 b What is the closest to -0.2 in -0.2, 4/3, 5, 0.3? -0.2 What is the nearest to -0.2 in -5/2, -2/9, -0.04? -2/9 What is the nearest to 0.02 in 0.06, -2/9, 0.2, -3/4? 0.06 Which is the nearest to 9? (a) -1 (b) 1 (c) -1/4 b What is the closest to -0.2 in 0.5, 0.09, 0, 4? 0 Which is the closest to 2/7? (a) 0.5 (b) 0.2 (c) -0.07 (d) 6 b Which is the closest to -1? (a) 4 (b) 12183 (c) 0 (d) -2/5 d Which is the nearest to 0? (a) 0.17 (b) 1/156 (c) -6/11 b What is the closest to -1/2 in 9, 2/3, -5? 2/3 Which is the closest to -3/5? (a) -2 (b) 2 (c) 0.1 (d) -0.4 d What is the nearest to 5 in 1/3, 2, 5? 5 Which is the nearest to 0.2? (a) 4/7 (b) 0.4 (c) 7/3 (d) 3 b What is the closest to -0.11 in -0.2, 5, -0.1? -0.1 What is the closest to 0 in -0.5, 325, 0.3, 5? 0.3 What is the nearest to 2/7 in 0.2, -30/79, 7? 0.2 Which is the closest to 1/3? (a) 47 (b) 4 (c) 1/4 (d) 2/5 d What is the nearest to 3/5 in -2/7, -1, -2/21? -2/21 Which is the nearest to 0.12? (a) -9 (b) -3 (c) 8 (d) -5/4 d What is the closest to 1 in 0.3, -474, -4/7, 0.1? 0.3 What is the nearest to 2/5 in -2/9, -0.2, -4.6, 0.4? 0.4 What is the nearest to -3 in 580, 3, 0.3? 0.3 Which is the nearest to 3? (a) -0.2 (b) 16 (c) 0.2 (d) -5 c Which is the nearest to 5? (a) -4 (b) -3/19 (c) -4/3 (d) 3 d Which is the nearest to 2? (a) -3 (b) 15/7 (c) 0.5 (d) 1/5 b What is the nearest to -9 in -1/13, 0.3, -0.059? -1/13 Which is the closest to 14? (a) 6 (b) -1/3 (c) -0.1 a Which is the closest to 0? (a) 6 (b) 0.1 (c) 4 b What is the closest to -0.1 in 0.4, 0, 9, -34? 0 Which is the closest to 43? (a) 0.2 (b) -36 (c) -1/2 a Which is the nearest to 0? (a) 201 (b) 1.4 (c) 3/2 b What is the nearest to -2 in -5, -4, 0.1? -4 What is the nearest to 0.2 in 1, 2, 2/65? 2/65 Which is the closest to 1? (a) 3 (b) 0.3 (c) -4 (d) -0.4 b What is the nearest to -3 in -0.5, 3, 20? -0.5 Which is the nearest to 2/7? (a) 0 (b) 41 (c) 0.4 c What is the nearest to -1 in -0.01, -1/4, 1/9, 3? -1/4 Which is the nearest to -33? (a) 2/5 (b) -0.4 (c) -0.5 (d) 3/4 c Which is the closest to -0.1? (a) 2/9 (b) 3 (c) -0.3 (d) -0.2 d What is the nearest to 1 in 0, -2/23, 1, -1? 1 What is the closest to -0.1 in -2166, 0.3, 3? 0.3 Which is the nearest to -1.9? (a) -3 (b) 3 (c) -0.5 (d) -0.06 a Which is the nearest to -1? (a) 2/7 (b) -16 (c) -1 c Which is the closest to 1/2? (a) 0.11 (b) -5 (c) -2 (d) 4 a What is the closest to 0 in 5/2, 86, 1? 1 Which is the nearest to -1? (a) 9 (b) 0 (c) 0.2 (d) 0.14 b Which is the nearest to 0.8? (a) 1/11 (b) 0.1 (c) -0.1 (d) 0.5 d What is the closest to -2 in 5, 3, 1/6, -8? 1/6 Which is the nearest to 0? (a) 1.1 (b) -6 (c) 3 a Which is the nearest to 1? (a) -1 (b) -0.2 (c) -8 (d) 4 b Which is the nearest to -1/5? (a) -3 (b) 8/3 (c) 2 (d) 0.1 d What is the nearest to -1/2 in 2/3, -0.2, 0, -0.06? -0.2 What is the nearest to -2 in -5/4, -1, -0.4, 52/7? -5/4 Which is the nearest to 0.2? (a) -4 (b) 2 (c) 0.4 c Which is the nearest to 1/4? (a) 0.2 (b) -6 (c) 1 a What is the closest to -1/7 in -1/6, 1, 0.5? -1/6 What is the nearest to 0.03 in 3, 0.3, -0.3, -0.018? -0.018 What is the nearest to 2 in -16, -5, -1/5, 5/3? 5/3 What is the nearest to 0.4 in -1/3, 3/155, 4? 3/155 What is the nearest to 1 in 1/34, -34, 3, 2? 1/34 What is the closest to -1 in -1.29, 0.5, -1, -0.2? -1 What is the closest to 0.1 in 2/3, 1, -90? 2/3 What is the closest to -31 in -5, 0.1, 1? -5 What is the nearest to 2/3 in -0.2, -3, 153? -0.2 Which is the closest to 2.5? (a) -0.04 (b) 3 (c) 1 b What is the closest to 2 in -1/5, -2/11, -0.3, 1? 1 Which is the nearest to 6? (a) 1/7 (b) 5 (c) -0.5 b What is the closest to 85 in 1, -0.01, 2, 1/4? 2 What is the closest to 2/5 in 2/7, 0, 0.5, 1? 0.5 What is the closest to 0.2 in 0, -5, 0.2? 0.2 What is the nearest to 0.2 in -4, 1/8, -0.5, -7? 1/8 Which is the nearest to -10/3? (a) -2 (b) 5/7 (c) 0.6 a Which is the closest to 2? (a) -0.1 (b) 0.1 (c) -1/5 (d) -2 b Which is the nearest to 14/3? (a) 1/3 (b) 4 (c) 3/10 (d) 0.02 b What is the nearest to 1.2 in -2/25, 0, 0.1, 0.4? 0.4 What is the nearest to -7 in -0.5, 4, 1? -0.5 Which is the closest to 0.3? (a) 0.14 (b) -1 (c) -41 (d) -1/4 a Which is the closest to 2? (a) 5/3 (b) 2 (c) 0.5 b Which is the nearest to 1/6? (a) -1/2 (b) 2/87 (c) -3 b What is the closest to 0.3 in 0.04, -1, -22, 5? 0.04 Which is the closest to -1/3? (a) 2 (b) -0.3 (c) 0.1 (d) -0.4 b What is the closest to 0.1 in 129, 2/15, -4? 2/15 Which is the nearest to 0.2? (a) 1 (b) -0.1 (c) -0.4 b What is the nearest to 0.1 in -3/77, -1/2, 5? -3/77 What is the closest to -3 in 3, 5, 0.1, 3/2? 0.1 What is the nearest to 0 in -3/109, -2/17, 0? 0 Which is the closest to -0.1? (a) -1/6 (b) 39 (c) -4 (d) -143 a What is the closest to 0.1 in 4, -0.4, 78, -3/4? -0.4 What is the nearest to -1 in -0.4, 2/9, 7, 0? -0.4 Which is the closest to 1/4? (a) -2 (b) 0.3 (c) -1 (d) -0.4 b What is the closest to 13 in 2/17, 0.5, 0.4, 25/4? 25/4 Which is the nearest to 2/7? (a) 1/9 (b) 1/4 (c) 0.2 (d) 6 b What is the closest to 2 in 4, -14, 5, -4? 4 What is the closest to -0.5 in 1/3, -0.5, 1? -0.5 Which is the closest to 0? (a) -1/14 (b) -13 (c) -2/7 (d) -4 a What is the closest to 2/39 in -2/9, 5, -1, -3/2? -2/9 What is the nearest to 4 in -0.5, 0.5, 2/7, -1/4? 0.5 What is the nearest to 0.3 in 4/37, 2, -3/4? 4/37 Which is the closest to 2/5? (a) 1/2 (b) 3 (c) 131 (d) 2 a What is the closest to 0 in 3/4, -0.09, 0.4? -0.09 Which is the closest to -0.8? (a) -58 (b) -2 (c) -5/2 b Which is the nearest to -4? (a) 1.8 (b) -2 (c) -0.3 b What is the closest to 0.2 in -2/17, 6, -3/2? -2/17 Which is the nearest to 38? (a) 5 (b) -1/9 (c) -0.4 a What is the closest to 1 in 2/3, -253, -0.11? 2/3 Which is the closest to 0.1? (a) -1/6 (b) -0.5 (c) -36.7 (d) 4 a What is the closest to 2/7 in 0.27, -1, 0.5, 3/5? 0.27 What is the nearest to 1/4 in 0, -2, 5, -2/9? 0 Which is the nearest to -1? (a) 1 (b) 0 (c) -0.1 c Which is the nearest to -2/7? (a) 3 (b) 10/11 (c) -5 b What is the closest to 1 in 1/7, 1/3, 2/11? 1/3 Which is the nearest to -2? (a) 1/6 (b) -3/4 (c) -0.109 b Which is the nearest to 2/5? (a) 1 (b) 20 (c) 5 (d) 1/16 d Which is the nearest to -0.23? (a) -4 (b) -0.2 (c) 33 b What is the nearest to -282 in -0.07, -4, -1, 1/5? -4 Which is the nearest to 128/5? (a) 14 (b) -0.4 (c) 1 a What is the nearest to 0 in 0, -0.1, -4, 0.08? 0 What is the closest to 0 in -0.4, 0.021, 6? 0.021 What is the nearest to 70 in -3/7, 3, 2? 3 What is the nearest to -2 in 0, 44, -2? -2 Which is the nearest to 0? (a) 0.073 (b) -7 (c) 0.5 (d) -0.1 a What is the nearest to -0.2 in 13/5, -0.3, 5? -0.3 Which is the closest to -1/21? (a) 0.3 (b) -3 (c) -2 (d) 1.2 a What is the closest to 2/3 in 2, -157, 1? 1 Which is the closest to 1? (a) -41 (b) 13 (c) -6/5 c What is the nearest to 1 in 1, -5, 79? 1 Which is the closest to 0? (a) 7/2 (b) -2/11 (c) 4 (d) -1/4 b What is the closest to -1 in -0.5, -5, -0.1, 0.127? -0.5 Which is the nearest to 0.06? (a) 15 (b) -4 (c) -2/15 c Which is the nearest to -0.4? (a) -1/12 (b) -4/7 (c) 1 b What is the closest to 4/7 in -0.4, -5, -1/2? -0.4 What is the nearest to 1/2 in -1/5, 13, 211? -1/5
{ "pile_set_name": "DM Mathematics" }
(-4))/(-5)). Let p = f + 45. Solve 4*t - 5*u + 9 + p = 0, -2*t - 4*u = -6 for t. -1 Let y(i) = -i**2 - 3*i + 4. Let d = 25 + -16. Suppose 0*x - d = 3*x. Let b be y(x). Solve -4*s - 8 = 0, 9 = -r + 2*r - b*s for r. 1 Let w(i) be the second derivative of -1/12*i**4 + 0 - 5/3*i**3 - 6*i**2 - 2*i. Let v be w(-8). Solve -7*t = -2*t - 4*k - 2, -3*t = v*k + 18 for t. -2 Let f = 14 + 15. Let z = 31 - f. Solve l - 6*l - 2 = o, -z*o - 3*l - 4 = 0 for o. -2 Let g(u) = u**2 - 4*u - 30. Let i be g(8). Solve 0 = -0*z + 5*z - 5*j + 10, -z + i = 3*j for z. -1 Suppose c + 0*c - 5*n + 14 = 0, 5*c + n = -18. Let q = 1 - c. Solve i = q*h + 6, -29 - 1 = 5*i + 5*h for i. -4 Let k = -356 - -359. Solve -3*z = -2*l + 9, -5*z + 4*z = 2*l + k for z. -3 Let v = -236 + 240. Solve 0 = -2*t - v*c + 16, -5*c = -2*t + 5*t - 21 for t. 2 Suppose -5 = -0*d - d. Suppose 0 = -6*m + 28 + 2. Suppose -13 = -4*g + 3*r, r = 2*g + m*r - 12. Solve -7 = -w + 2*v, -4*v - 7 - g = -d*w for w. -1 Suppose 106*i = 97*i + 108. Solve 2*w = 6*w + 2*y + i, w - 2*y + 8 = 0 for w. -4 Let x be (352/(-572))/(2/(-13)). Solve 2*o + x*u + 24 = 0, 11 = 3*o + 4*u + 37 for o. -2 Let z(s) = -92*s - 358. Let f be z(-4). Solve 0 = t - 4*i - 1 + f, -t - i = -1 for t. -1 Let n(o) = -101*o + 1 + 107*o + 1. Let v be n(0). Solve -m = 2*r + m + v, -5*r - 25 = -5*m for r. -3 Suppose -3*q - 2*q + 3*o = 132, -3*o = -4*q - 108. Let d = q + 26. Suppose 5*k + 4*j - 2*j = 28, -d*j - 8 = -k. Solve k = -3*s + 3*i, -i = -s + 2*i for s. -3 Suppose 4*x = -5*p + 2*p + 5, -5*p + x + 16 = 0. Suppose 62*g = -20*g - 134*g. Solve 5*v = -o + 25, -p*v + g*v = -12 for o. 5 Suppose -5*p = 5*m - 20, -p - 5*m - 30 = -6*p. Solve u - k + 3 = 1, -2*k = -p*u - 7 for u. -1 Let o be 1*-2*5/(-2). Let x = -165 + 174. Suppose 2*q - o*c = 18, -4*q - 3*c = -x*q + 26. Solve -q*l = j - 10, -4*j + 9 + 7 = 4*l for l. 2 Let i(u) = 2*u**2 - 12*u - 1. Let q = -77 - -84. Let m be i(q). Solve 24 = -3*n - 4*r, n = 5*r + m - 2 for n. -4 Suppose -3*v + t = -2*t - 123, -t = -3*v + 133. Let j = v + -44. Solve -r + j*h = h - 9, -r + 2*h + 13 = 0 for r. 5 Let a = 861 + -853. Solve -4*m - a*h + 7*h = 0, -12 = 4*m + 4*h for m. 1 Let q be (-1)/3*(6 - 12). Let a(u) = u**2 - 16*u - 54. Let m be a(19). Solve -m*p + 5*h + 5 = 0, -3*h = -q*p + 2*h + 10 for p. -5 Suppose 4*t = 7 + 5. Suppose 0 = -2*p - 4*c + 2*c, c = -t*p. Solve 4*x + 2 = -3*u, p = -7*x + 3*x + 2*u + 8 for x. 1 Let x be -1*(-2)/3 + (0 - (-32)/6). Let i be 18/4 - 2/4. Solve m + 4*w + 13 = 0, x*m - 2*m - i*w = -12 for m. -5 Let y(u) = -u**3 + 7*u**2 - 6*u + 3. Let r be y(6). Solve -r*i + 8 = -4*h, 3*h - 8*h = 4*i + 10 for h. -2 Suppose -11 = -j - 4*z, 0*z - 5 = -4*j - 3*z. Let d be 108/24 + j/2. Solve -d*u + 8 = k, -k = 2*k - 12 for u. 1 Let z(n) = n**3 - 3*n**2 - 2*n - 4. Let d be z(4). Let w be (3/2)/(2/d). Let g = 18 + -16. Solve w*t + 5*q + 30 = 0, -t + g*t + 5*q = -20 for t. -5 Let u(z) = z**2 + 24. Let h be u(0). Suppose 0 = 5*b + 4*n - 8, 6*n + 1 = -2*b + 3*n. Solve 4*j + h = -b*y + 2*y, -3*y - 4*j = 28 for y. -4 Suppose -3 = -5*g + 12. Let z(b) = 8*b + 14. Let j be z(-4). Let y be (5/(-3))/(6/j). Solve g*n + 20 = -y*a, -2*a + 1 - 3 = 0 for n. -5 Suppose -17*c + 30*c - 286 = 0. Solve 3*z - 1 = -j, 5*z - 4*z - 4*j - c = 0 for z. 2 Let p be (-1)/2 + 9/(-6). Let m be (-9)/p + 8/16. Solve 0 = 5*n - 20, 0 = -m*j + 2*j - 3*n for j. -4 Suppose 4*v = -2*y + 92, 2*v - 214 = -5*y + 16. Let r = y + -26. Suppose -x + 0*f + f - 2 = 0, -5*f = -r. Solve 4*p - x*z - 11 = -p, -4 = 5*p + 3*z for p. 1 Suppose -59*s = 110 - 405. Suppose 20 = 3*y + 5. Solve y*q = 4*x, -s*x + 10*x = -3*q for x. 0 Suppose 19 = 3*h - 5. Let t = h + -5. Suppose 5*s - 8 = t*s. Solve -2*r + 2*p = -p - 19, 0 = -s*p - 12 for r. 5 Suppose 3*c - 17 = 5*d, -3*c + d + 14 = -d. Suppose -2*y = c*y. Solve -2*z = 5*w + 10, y = 4*z - z + 4*w + 15 for z. -5 Let r = 165 + -160. Solve p + 10 = -c, 0 = -r*p - c + 3*c - 15 for p. -5 Let g(a) = -a**3 - 13*a**2 + 4*a + 52. Let j be g(-13). Solve -2*c - 2*r = -0*r + 14, j = -5*c + 3*r + 5 for c. -2 Let k = 252 + -221. Solve -s + 9 = y, -4*y - 3*s = -0*s - k for y. 4 Suppose -2*w = a + 2*a - 2, 5*a - 25 = w. Solve i - a = d - 8, -2*i + 13 = 5*d for i. -1 Suppose -3*o - 93 = 33. Let h be 23 + (o/35)/((-4)/(-10)). Solve b = -5*f - h, 3*f + 0*f + 34 = -5*b for f. -3 Let j(f) = -f**3 + 3*f**2 + 5*f - 6. Let v be j(4). Let n be 0/(v/2*-2). Let y = -35 - -36. Solve n*z = 5*w + 5*z + 35, w = 3*z + y for w. -5 Suppose -g - 3*v = 2*g + 24, -3*v = -4*g - 11. Let p be (-4)/(-3 - g) + 7. Suppose -7 + 1 = -2*q. Solve 2*d = 2*h + 2*h - 20, -p*d + 2 = q*h for d. -2 Let n(i) = -21*i + 52. Let g be n(2). Solve l + 0*u - 5 = -2*u, -g = -2*l + 5*u for l. 5 Let k(d) = -4*d + 7. Let q(j) = 11*j - 20. Let w(z) = 8*k(z) + 3*q(z). Let n be w(6). Let m = -15 + 22. Solve 1 = -o - n*o + h, -5*o - h = m for o. -1 Let j be 208/20 - (-1 - (-6)/15). Solve -7 = 3*z - x, 2*z = 3*z - 3*x - j for z. -4 Suppose -3*y - 39 = -16*y. Suppose 4*g = t, -y*t = -7*g + 2*g. Solve 0*q + 4*q = 0, g = 5*j - 5*q for j. 0 Let w be 3*5/(-3 - -8). Solve k = 6*k + w*t - 6, 3*t = 3*k - 18 for k. 3 Suppose 75*n - 81*n = 6. Let z be 9 + -6 + 1 + (-3 - n). Solve -c - 5 = -2*r, -z*r + 2*c + 2 = -0 for r. 4 Let i be -2 + (-7)/(1 + -2). Suppose 0 = -i*x - 4*d - 2, 3*d = -5*x - 1 + 2. Suppose x*m - 18 = -4*m. Solve 3*w - 4*w - 5*k - 11 = 0, 6 = m*w + 2*k for w. 4 Let m(l) = -2*l**2 - 31*l + 188. Let y be m(-20). Solve -3*z - o - 12 = 0, -3*o = -z - y*o - 18 for z. -3 Let k(v) = 7*v**2 + 3. Let i be k(-2). Let a = -25 + i. Solve -w = -3*x + a, 3*w - 12 = -x - 0 for w. 3 Suppose 0 = -7*k + 16 + 5. Solve 0 = -s - t - 4, -5*s - 9 = k*t + 1 for s. 1 Let n be 9 + -18 + 1 + 13. Solve -n*h - 5*l = -14 - 6, 3*h + l = 14 for h. 5 Let g = 4 + -2. Suppose 4*o = -3*q + 7, -3*q - 9 = 5*o - 20. Suppose -o*u = -4*t - 2 - g, t - 11 = -3*u. Solve -3*z + u = -p, -5*p + p = 4*z + 12 for z. 0 Suppose 4*h - 9 = -3*n, 11 - 14 = -2*h - 3*n. Solve 2*u - 7*u = -3*j + 30, -3*j - h*u + 6 = 0 for j. 5 Let a = 104 + -101. Solve -25 = -2*i - 2*x - a*x, 0 = -i + 4*x - 20 for i. 0 Let y be 4/(-2) + (-95 - -1)*1. Let n = y + 98. Solve 0*z + 4*z - 24 = -n*c, -4*z + 4 = -3*c for c. 4 Suppose -7*n - 120 = n. Let y be (-10)/n*(45/2)/5. Solve -19 = 2*w + 5*c - 0*c, 2*c + 19 = y*w for w. 3 Let c be (-4)/(-1) + 1280/80. Solve j - 7 - 3 = -3*l, -2*l = -2*j - c for j. -5 Let u be (75/12)/((-1)/(-4)). Let r = 30 - u. Solve -r*b - t = 29, -2*b + b - 1 = -t for b. -5 Suppose 24 = 5*s - 4*s. Let g(v) = v**3 + 9*v**2 + 17*v - 1. Let h be g(-6). Solve -b - s = h*q, 5*q - 2*b + 29 = 2*b for q. -5 Suppose 152*v = 133*v + 95. Solve v*z + 10 = -3*m, 32*z - 2 = m + 35*z for m. -5 Let q(h) = 5*h**3 - 6*h + 5. Let f be q(1). Solve -8 = 13*l - 11*l + 2*y, -10 = 2*l + f*y for l. -3 Let c(x) = 10*x + 47. Let d be c(11). Let b = -151 + d. Solve -5*m = -3*y + 15 + b, -5*y + 3*m = -19 for y. 2 Let v be 8/48 + 22/12. Solve -d = p - 1, -d - 4*p = -0*p + v for d. 2 Let q = 0 + -8. Let z be ((-20)/q)/(20/(-8) - -3). Solve z*c - l = -6*l + 50, 0 = -3*c + 3*l for c. 5 Suppose -2*h = -i + 15, i + 2*h - 99 = -4*i. Suppose 0 = q - 2*k - 11 - i, 0 = -5*q + k + 159. Solve 3*m + q = 7*g - 2*g, 0 = 4*m + g + 12 for m. -4 Let o = 537 + -528. Solve 0 = -5*h + 2*h + b + 1, 3*h - o = -3*b for h. 1 Let p(y) = 2*y**2 + 30*y + 124. Let h be p(-10). Solve 2*m + k = -4*k + h, 4 = 4*m - k for m. 2 Let d(a) = 2*a**2 + 25*a - 7. Let r be d(-13). Suppose 5*c - 21 + r = 0. Solve v + c*h - 5 = 8, 17 = -3*v + 5*h for v. 1 Let m = -1510 + 1510. Let k = 0 + 3. Solve -5*c = 4*r, 0*r - k*r + 3*c = m for r. 0 Let c be (-27)/(-135) - (-2 - 33/(-15)). Solve -5*h + 35 = -y - 4*y, h - 2*y - 11 = c for h. 3 Suppose -10*d + 62*d - 2*d = 150. Suppose -30 = 4*x - 9*x. Solve d*v - 3*t = -x, -5*v - 23 = 4*t - 4 for v. -3 Suppose -4*h + 6 = 2*n, -3*h + 8 = 20*n - 18*n. Solve 5*x - 31 = -n*m + 4*m, 3*x = -m + 17 for x. 5 Let b = 31 + -25. Suppose 39 - 9 = b*j. Suppose j*w - 11 = 4. Solve -a - 5*f = 4 + 5, -w*f = -5*a - 17 for a. -4 Let j = 394 + -391. Solve d = 4*p - 4, -j*p + d = -4*d + 14 for p. 2 Let a = -99 - -119. Suppose 3 - 15 = -3*i. Let m(r) = r. Let l be m(i). Solve 5*n = n - 2*o - 10, 4*o + a = l*n for n. 0 Let r be 21/7 - (-3 - -7). Let d be 10/(-45) + ((-101)/(-9)
{ "pile_set_name": "DM Mathematics" }
g = -3 - -7. Let w(k) = -213*k + 2560. Let o be w(12). Solve o*h - 2*h - 18 = g*b, 4*b + 28 = 4*h for b. -2 Suppose 0 = 2*z - 0*z. Suppose -5*h = 4*y + 20, -y + z = h + 5. Solve x + 4*v + 20 = h, -4*x + 2*v = -2*x for x. -4 Suppose -5 = -2*y + 5. Suppose y*s - 8 = s. Let c be 3 + (0 + -2)/(-1). Solve s*p = c*x, x = -p + 3*x for p. 0 Let b = -5 + 6. Suppose 0 = -w + 4*z + 19, -5*w + 3*z + 9 + 1 = 0. Let x = b - w. Solve 2*h - 12 - x = -3*p, -3*h + 2*p = 5 for h. 1 Let p = -3 + 7. Let q be ((-8)/(-24))/(1/15). Solve p*g = -5*w + 15, w = 4*w - q*g + 28 for w. -1 Let m be 1 + (-11)/9 - (-611)/117. Suppose -m*w - v + 9 = -w, 2*w = -3*v + 7. Solve 10 = b + w*a + a, 3*a - 40 = 5*b for b. -5 Suppose 26 = -d + 30. Solve d*t - 2*s - s = -18, 2*s + 2 = -2*t for t. -3 Let a = 21 + -16. Suppose 2*h - 3*h + a = 0. Let l(u) = u**2 + u - 1. Let r be l(-3). Solve 4*b + v - 4 = 0, r*v - v = h*b - 5 for b. 1 Suppose -y - 12 = -5*y. Suppose 6*n = 33 - y. Solve -b - 3*m - 11 = 0, b + 21 = -0*m - n*m for b. 4 Let p = 22 - 16. Suppose 0 = -p*y + y. Solve y = 4*b + 5*j + 25, -2*b + 1 = j + 6 for b. 0 Let s be 4/(-10)*(-29)/(319/330). Solve 13*w + 4*o = 8*w - s, 0 = -2*w - 4*o - 12 for w. 0 Suppose -41 = -5*j - 5*w + 19, -2*j + 5*w = 4. Solve h - 2 = 5*d, 3*d - j = -4*h - 2*d for h. 2 Suppose -5*t + 2*z + 18 = 0, -4*z = 2*t - 0*z - 12. Solve -t*w - 5 - 3 = -4*s, -5*w = 25 for s. -3 Suppose 67*f - 208 = 60. Solve h = y - 5, -f*h + h - 8 = 4*y for h. -4 Suppose 2*t + 3*v - 6 = -2*t, -2 = v. Suppose -16 = -t*l + 7*l. Let q be (-1 - -1)*l/8. Solve -h = 4, -2*k - 2*h + 7*h + 18 = q for k. -1 Let s = 38 - 13. Solve -a - s = 2*j + 2*j, -2*a = 4*j + 30 for j. -5 Suppose 9*x - 155 = -119. Suppose 4*s = -9 + 25. Solve x*t = -2*k, -s*t = -k - k for k. 0 Let d = 2 - -3. Suppose 2*p - 46 = 4*o - 0*o, d*p = -2*o + 67. Let v = p - 11. Solve -5*n + 2*r = -2*r - 1, 5*r + 32 = -v*n for n. -3 Let w be (4/(-3))/((-2)/3). Suppose -4*n - t = -76, -6*t = -5*n - 3*t + 78. Let m = -13 + n. Solve -x = 5*h + 7, -x - w*x = -h + m for h. -1 Let w be 7/2*2 + 5. Solve u + 2*x = 6, -2*x - 4 = -w for u. -2 Let a be -20*(3 - 2)*-3. Let v = a + -37. Solve 0 = -3*i + p + 4*p + v, -2*i - 18 = 5*p for i. 1 Let j(m) = 2*m + 36. Let z be j(-17). Let t be (-4)/10 - 4/(-10). Suppose -5*a + 3*a = t. Solve 0 = 4*o - 16, z*y - 2*o - o + 6 = a for y. 3 Let i(c) = -7*c - 34. Let y be i(10). Let b = 109 + y. Solve o - b*v - 16 = 0, -5*v - 11 = -2*o - 2*v for o. 1 Let q = 2507 - 2504. Solve -6 = 2*x - m, q*x - 2*m + 14 = 2*m for x. -2 Let q(m) = 3*m**2 - 7*m + 4. Let d be q(2). Solve k - 2*r = r + 1, -d*k + 5*r = -3 for k. 4 Let n be 2 - 225/(-12)*(-8)/3. Let g = -43 - n. Solve -5*o - 3*v + g = -9, v = 4*o - 1 for o. 1 Let t(w) = 39 - 14*w + w**2 - 3*w + 0*w**2. Let o be t(16). Solve 0 = 5*u + 4*i - 5*i - o, 4 = -2*u - 4*i for u. 4 Let v be -4*1*1/(-2). Let g = -76 + 33. Let r = 44 + g. Solve -i - 12 - r = 4*f, 3*f - 4 = v*i for i. -5 Let o = 156 - 153. Solve o*r = 2*j - 21, 0*r = 2*r - 4*j + 22 for r. -5 Suppose -18*v + 66 = -17*v. Let l = 74 - v. Solve z = 3*u - l*u - 20, -u - 4*z - 4 = 0 for u. -4 Suppose -8*r + 10 = -3*r. Let q(o) = 5 - 5 - o**2 - 1 + 2*o**r + o. Let c be q(2). Solve 3*n - c*f + 11 = 4*n, -5*f - 5 = 5*n for n. -4 Let b(j) = 3*j**2 + 4*j. Suppose 4*m = 5*c + m + 3, 4*m + 10 = 2*c. Let z be b(c). Suppose 0 = 5*p + 5 - z. Solve -p*d - 12 = -4*v, -v = 3*d - 4*v + 12 for d. -2 Suppose 39*q = 35*q + 60. Suppose 2*f + q = a - 0*a, 2*a - 2*f = 28. Solve -5*b - 4*n + a = 0, -3*n - 2 = -4*b - 2*n for b. 1 Let r(b) = b + 2. Let o be r(0). Suppose -2*f = o*t - 0*t - 6, 11 = t - 3*f. Solve 2*g = g - 2*s, -2*g + s - t = 0 for g. -2 Let i be (-67)/7 - 6/14. Let g be (2 - 1) + -1 + i. Let o(p) = -p**2 - 10*p + 2. Let f be o(g). Solve 7*j - f*j - 15 = 0, 5*x = 5*j + 5 for x. 4 Let x be (-357)/(-9) - 2/(-6). Suppose 12*g = 20*g - x. Solve -2*b = 4*j + 24, -b = g*j + b + 28 for j. -4 Let n be 0/36*2/12. Solve n = 2*x - 2*z + 2, 4*x + 2*z + 3 - 23 = 0 for x. 3 Suppose -14 - 13 = -5*p - s, -s = -5*p + 33. Solve p*h + 22 = h - l, 3*h = -2*l - 9 for h. -5 Let m = 2252 - 2247. Solve -4*d + 5*i = -31, -8 = d - i + m*i for d. 4 Suppose -5*f + 576 - 486 = 0. Solve -13 = -3*a + c, 0*c + f = 5*a + 2*c for a. 4 Let s be 0 - 22*(-3)/(-6). Let g(o) = 0*o**3 + 7*o**2 - 8 - 12*o + o**3 + 2*o**2 + o**2. Let n be g(s). Solve -n*q + 3*l - 19 = -2*l, 4*l = q + 18 for q. 2 Suppose 29 - 29 = -3*s. Solve 4*u + 3*k = -s*k + 6, 2*u - 2*k + 4 = 0 for u. 0 Let q = -1 - -9. Suppose 0 = -2*o + q - 0. Suppose 0 = 3*g + o - 16. Solve -g*l = -3*d + 12, -5*l - 4 = 2*d - 3*d for d. 4 Suppose 5*m - 34 = -h, -3*h - 14 = -2*m + 20. Let c = 1 + -1. Solve -s = -2*b + 7, 5*s - b + m = -c*s for s. -1 Suppose -4*w + 2*w = p - 10, 0 = 4*p + 3*w - 15. Suppose p = -2*f + 8, -y + 2*f = 2*y - 1. Solve -y = -g + d - 2, 11 = 5*g - 3*d for g. 4 Let m be 6*6/48*12 - 6. Solve -5*a + m*o + 7 = 5*o, -5*o = -a + 23 for a. 3 Suppose 16*w - 2*w - 28 = 0. Solve 5*m + 4 - w = -t, 5*t - 2*m + 10 = 0 for t. -2 Let g = -96 + 138. Let a be (-14)/(-77) - g/(-11). Solve 24 = 2*b - 0*b + a*n, 0 = -4*n + 20 for b. 2 Let c be (104/10)/1 + 32/(-80). Suppose -c = 2*z - 10. Solve 3*n + 18 = 4*g, 2*g + z = -n + 4 for g. 3 Suppose -5*l - 2*r = -0*r - 27, 0 = -4*l - 2*r + 20. Solve -3*u + 15 = 3, -2*u - l = 5*j for j. -3 Suppose -4*a = 2*v - 52, 26 = -3*v - 2*a + 84. Let f = -12 + v. Suppose f = 5*h - 6. Solve -2*b - 2*r + 8 = -4*r, -3*b + h = -r for b. -1 Suppose 3*y = 2*s + s - 33, y - 11 = -s. Suppose -247 = -2*d + 9. Let o = -124 + d. Solve -o*q = 3*p - s, -q - 4*p = 3*q - 8 for q. 5 Let d(v) = v**3 + 12*v**2 - 13*v + 4. Let r be 13/((1/(-1))/3*3). Let w be d(r). Solve -15 = 3*y + 3*m, 4*y - m + 2 = w*m for y. -3 Let b = -1373 + 1379. Solve -2*d + 5 + 2 = -r, 3*d + b = -4*r for r. -3 Suppose -45 = -16*u + 67. Let x be 5/10 - (-17)/2. Suppose 2*i - u = x. Solve -i = -r - r + p, 4*p = 5*r - 17 for r. 5 Let q(p) = p**3 - 6*p**2 + 9*p + 5. Let f be q(4). Let v be 2*-1 - (-45)/f. Let r be 2/6*(1 - -5). Solve 8 = v*g + m, -4*g + 2*g - r*m = -8 for g. 2 Suppose -2*l + 5 = p, -2*l - 2*p = -1 - 1. Suppose -i + 3 = -0*i. Solve 3*m - q - l*q = 19, 0 = 5*m - i*q - 5 for m. -2 Suppose i = 5*i - 4. Let a be (-5 - -4)/(i/(-2)). Let q(o) = o**2 - 3*o - 6. Let v be q(5). Solve -f - 2 = -a*f, v*b + 2 = -3*f for b. -2 Let j(x) = x**3 + 5*x**2 + 4*x + 5. Let w be 4*4/32*-8. Let y be j(w). Suppose -2*u + 3*u = 2. Solve 2*o - y*n - 7 = u, 18 = -4*o - 2*n for o. -3 Suppose 0 = o - 5*i + 5, -o + 2*i - 3*i + 7 = 0. Solve -o*p + 5 = 5*x, -4*p - 12 = -0*p for x. 4 Let v(t) = -6*t**2 - 4*t + 35. Let x be v(5). Let w = 137 + x. Solve z = 2*d + 2*d + 16, 3*z + w*d + 8 = 0 for z. 0 Let h(l) = 3*l**2 + 2*l - 11. Let b be h(2). Solve 3*c - 3*r + 12 = 0, -b*r - 2 = 3 for c. -5 Let d(a) = 2*a**3 - 55*a**2 + 28*a - 22. Let y be d(27). Solve -5*p + 5 = 0, -w + y - 3 = -p for w. 3 Let q be 214/10 + 114/190. Solve -3*z = 5*r + q, -12 = 3*r + z - 2 for r. -2 Suppose 4 = -4*i + 12. Suppose 3*y - 5*b - 10 = 0, 16 = 3*y - 6*b + 7*b. Solve 5*g = -y*q, 4*g + 21 = -i*q + 5*q for q. 3 Suppose 2 + 4 = 3*u, -5*u = -5*o - 15. Let s(f) = 2*f**2 + 1. Let y be s(o). Solve 7*p - 3*b - 11 = 3*p, -y*p + 3*b + 12 = 0 for p. -1 Suppose 3*l + 50 = -2*t + 75, -4*l + 4*t = 0. Solve w + 3*w - 36 = 4*b, -2*w + l*b = -30 for w. 5 Suppose -a = -4*m + 5, 2*a - 3*m = m - 2. Solve -4*i + 3 = 3*n - 0, 0 = i + 3*n - a for i. 0 Let i be 1/((-10)/5)*-14 + -3. Solve 4*v - 4*c = -c - i, 2*c - 18 = -5*v for v. 2 Let w be (21/(-5) + (0 - -3))*-5. Let h be (33/w + 4)*2. Suppose -5*y + 128 = -2. Solve -4*t - h = m, -t - 4*t = 2*m + y for t. -4 Suppose 102*m - 23*m = 1501. Solve 2*a - 4*a + 5*l = -m, 3*a = l - 4 for a. -3 Suppose -3*n + 95 = -4*s, 2*s + 3*s = -25. Let b = -8 + n. Let t(v) = -v**2 + 17*v + 13. Let k be t(b). Solve -4*q - 10 = -0*q + 2*m, 3*q + k = 4*m for q. -3 Let h be (-36)/9 + (-1 - 0). Let t be (-1)/(1*h/20). Solve -q = -2*q - 4*m + t, 2*q - 8 = -2*m for q. 4 Let n be (6/(-18))/((-1)/30) + 0. Let c be 58/7 - (-6)/(-21). Let x be n/c*(1 + 3). Solve 3*u - j + x = 0, -u - 3 = -j - 0 for u. -1 Suppose -3*t - 12 = -0*t. Let l = -4 - t. Solve -3*u + 5*x - 15 = -0*u, l = -2*x for u. -5 Let z(u) = u**2 - 16*u + 39. Let j be z(13). Solve 1 =
{ "pile_set_name": "DM Mathematics" }
t*w + 2*t + 1775*w**2 - 4*w wrt w? 22*t**3 + 96*t**2 - 4*t + 3550 Find the second derivative of -47850245*z**2 + 156193617*z wrt z. -95700490 Find the second derivative of -38265600*h**2*o**5 + 9960651*h**2*o wrt o. -765312000*h**2*o**3 What is the first derivative of -28728*r**4 - 70*r**3*w - 18619*w - 497 wrt r? -114912*r**3 - 210*r**2*w Find the third derivative of 3*d*y**3 + 14*d*y**2 - 2*d*y - d - 1249583*y**3 + 4*y**2 - 70*y + 87 wrt y. 18*d - 7497498 Find the third derivative of 97*c**3*j**3 - 134543*c**3*j**2 + 147*c**3*j - 25*c*j**3 + 77*j**3 wrt j. 582*c**3 - 150*c + 462 Find the third derivative of 172693446*h**4 - 406964139*h**2. 4144642704*h What is the derivative of 74899531*f**2*p + 55650423*f**2 wrt p? 74899531*f**2 What is the third derivative of -24113*j**6 + 314*j**4 + 1099*j**2 + 353*j - 3 wrt j? -2893560*j**3 + 7536*j Find the first derivative of 761478326*c - 112563237. 761478326 Find the first derivative of 257*a*m**2 + 1649*a*m - 17909*a + 111 wrt m. 514*a*m + 1649*a What is the second derivative of 432*a**4*b**3 - 321*a**4 + 148*a*b**3 + 1628*a*b**2 wrt a? 5184*a**2*b**3 - 3852*a**2 What is the second derivative of -283640*p**2 + 2894421*p wrt p? -567280 Find the third derivative of 167*a*t**4 - a*t**3 - 987*a + 1701*t**3 + t**2 - 460 wrt t. 4008*a*t - 6*a + 10206 Find the third derivative of -64698*i*u**3 + 19*i - 66*u**3 - 659583*u**2 wrt u. -388188*i - 396 Find the second derivative of 207*d**5 - 44*d**4 + d**3 + 3862610*d. 4140*d**3 - 528*d**2 + 6*d What is the third derivative of 127800073*s**2*y**3 + 174*s**2*y**2 - s**2*y - 1935*s*y - s - y**2 wrt y? 766800438*s**2 What is the third derivative of -41*h**5 + h**4 + 3024*h**3 - 7802*h**2 - 2495? -2460*h**2 + 24*h + 18144 What is the third derivative of 16093813*c**5 + 60065545*c**2 wrt c? 965628780*c**2 Find the second derivative of 68*d**3*v + 170*d**3 - 4726*d**2*v - 448*d*v + 2*d - 60*v - 22 wrt d. 408*d*v + 1020*d - 9452*v What is the derivative of -2*z**3 - 38*z**2 + 279*z - 5444491? -6*z**2 - 76*z + 279 What is the derivative of 58105625*n**2 - 177015292 wrt n? 116211250*n What is the second derivative of -229837986*v**2 + 792768620*v wrt v? -459675972 What is the first derivative of -104*k*n*y + 735*k*y + 40*k - 2*n*y - 4717*n - 189 wrt k? -104*n*y + 735*y + 40 Find the third derivative of 516*q*t**4 + q*t**3 + q*t**2 - 3*q*t + 6*q - 291*t**4 + 4*t**3 + 21*t**2 - 4*t + 52 wrt t. 12384*q*t + 6*q - 6984*t + 24 What is the second derivative of 8019697*m**2 - 20957*m - 41? 16039394 Find the first derivative of -18917448*m - 6076001 wrt m. -18917448 Find the third derivative of -2972218*i*x**4 - 30*i*x**3 - 2*i*x**2 + 2*i*x - 1506*i + 2*x**3 - 13*x**2 - 19*x + 2 wrt x. -71333232*i*x - 180*i + 12 What is the second derivative of 143717661*i**2 - 73*i + 382574? 287435322 What is the first derivative of -140064*a*b*q - 158*a*b - 505062*a*q + 6*q + 5 wrt b? -140064*a*q - 158*a Find the second derivative of -109*n**4 + 385830*n**3 - 69582*n + 2 wrt n. -1308*n**2 + 2314980*n What is the second derivative of -829267*f**3*m**2 + 5*f**3*m + 42*f*m**2 + 15*f*m - 6825*m wrt f? -4975602*f*m**2 + 30*f*m What is the derivative of 3977074*z + 6863321 wrt z? 3977074 What is the second derivative of 208236810*i**2 + 268331078*i? 416473620 What is the derivative of 157417277*k - 142288651 wrt k? 157417277 Differentiate 14137933*m*v - 10403823*v wrt m. 14137933*v Find the third derivative of 3*t**6 - 156162127*t**5 - 751865*t**2 + 100*t. 360*t**3 - 9369727620*t**2 What is the first derivative of -789948*y**2 - 5*y + 26784527 wrt y? -1579896*y - 5 What is the first derivative of -201*c**2 + 40543*c + 18743391? -402*c + 40543 Find the third derivative of 23*b**6 - 394*b**5 + 12*b**3 - 443*b**2 + 558*b + 2 wrt b. 2760*b**3 - 23640*b**2 + 72 Find the third derivative of -147493480*b**2*n**3 + 6*b**2*n**2 - b**2*n + 24*b*n**2 + 14*b + n - 2 wrt n. -884960880*b**2 Find the third derivative of -341*k**4 + 48744*k**3 - 1604969*k**2 + 3*k - 1. -8184*k + 292464 What is the second derivative of -3292454*k**2 + 3721560*k? -6584908 What is the third derivative of -303063717*y**3 + 2621*y**2 - 6*y - 3303 wrt y? -1818382302 What is the derivative of -2450*w**2 - 63*w + 2892544 wrt w? -4900*w - 63 Find the second derivative of 51*h**3 + 53127*h**2 + 3*h - 6392362 wrt h. 306*h + 106254 Find the first derivative of 100742*g**2*s**2 + 228*g**2 + 53*g*s**2 - 34664*g wrt s. 201484*g**2*s + 106*g*s What is the first derivative of 477*n**2*r**2 - n**2*r + 691*n*r + 13863272*r**2 wrt n? 954*n*r**2 - 2*n*r + 691*r Find the first derivative of 7038484*w + 6944556. 7038484 What is the second derivative of -21462265*y**5 + 14096866*y? -429245300*y**3 Differentiate 30759360*j**3*s - 18*j**2*s**2 - s**2 + 67566127 wrt j. 92278080*j**2*s - 36*j*s**2 Find the third derivative of -9143501*b*l**5 - 4*b*l**2 + 2*b*l - b - 2*l**2 - 129*l wrt l. -548610060*b*l**2 Find the first derivative of -8025*o*p**2 - 3586*o - 274*p**2 - 31*p + 708 wrt o. -8025*p**2 - 3586 Differentiate -29956*g*i*o*p**2 - 100*g*o*p**2 + 2*g*p - 76*i*p**2 + 414*i*p - 7*p wrt o. -29956*g*i*p**2 - 100*g*p**2 What is the third derivative of -32275503*f**4 + 363*f**2 + 8279 wrt f? -774612072*f Find the third derivative of 290608*m**6 + 212*m**4*v + 2633*m**2*v + m**2 + 8*m*v - 892*v wrt m. 34872960*m**3 + 5088*m*v What is the third derivative of 830*i**5 + 36*i**4 - 20*i**3 - 9*i**2 - 23003? 49800*i**2 + 864*i - 120 What is the derivative of -84703451*a**4 - 33151883 wrt a? -338813804*a**3 What is the third derivative of -59*a**4 - 89561*a**3 + 2989059*a**2 - 3 wrt a? -1416*a - 537366 Find the first derivative of -70*l**3 + 80*l**2 + 1431*l + 123760816. -210*l**2 + 160*l + 1431 Find the second derivative of -294108*w**5 - 84*w**2 + 86497533*w. -5882160*w**3 - 168 Differentiate 23010288*r + 33095574. 23010288 Find the second derivative of 46145689*u*w**2 - 5*u*w + 1099*u + 2*w - 11765 wrt w. 92291378*u What is the third derivative of 3472173*x**3 - 370218020*x**2 wrt x? 20833038 What is the third derivative of 14380022*z**4 - 839292*z**2 wrt z? 345120528*z Differentiate 4115620*b*k*u**2 - 3*b*u**3 + 5718746*k*u**3 with respect to b. 4115620*k*u**2 - 3*u**3 Find the first derivative of 104700154*d**3 + 44593161 wrt d. 314100462*d**2 What is the second derivative of 13*d**2*h - 2*d**2*l**3 - 295887*d**2 - 2*d*h*l**3 + 152*d*h*l**2 - d*h*l + 2*d*h - 2*d*l**2 + 2*l wrt d? 26*h - 4*l**3 - 591774 What is the first derivative of 175567794*q + 105441395 wrt q? 175567794 Find the second derivative of -43366119*b**5 + 6*b**2 + 15*b - 3093391 wrt b. -867322380*b**3 + 12 Find the third derivative of -13286279*m**3 + 44235*m**2 - 274 wrt m. -79717674 What is the second derivative of 4574*c**2*w**2 + 2*c**2*w - 607*c**2 + 989*c*w - 2*c + 83*w**4 + 49*w**3 - w + 1 wrt w? 9148*c**2 + 996*w**2 + 294*w What is the third derivative of -230426885*v**4 - 18140638*v**2 - 2*v - 3? -5530245240*v Find the second derivative of -1537*d**3*p**3 - 504*d**3*p - 3*d**3 + 70*d*p**4 - 131*d*p wrt p. -9222*d**3*p + 840*d*p**2 What is the second derivative of -10984890*l**3*z**3 + l*z - 2*l - 2*z**3 + 178*z**2 - 8 wrt l? -65909340*l*z**3 What is the third derivative of -1425829095*n**3 - 4471133*n**2 + 18*n wrt n? -8554974570 What is the third derivative of 960*j**5 + 3743*j**4 - 33844518*j**2? 57600*j**2 + 89832*j Find the first derivative of -6800*t**4 - 4612*t**3 - 2*t**2 - 41108984. -27200*t**3 - 13836*t**2 - 4*t What is the first derivative of 396554*d + 7132539? 396554 Find the second derivative of 49*f*s*u - 17*f*s + 6*f*u**2 - f + 69*s*u**2 - 181*s*u - 2*s - 34794*u**2 + 2 wrt u. 12*f + 138*s - 69588 What is the first derivative of -4396621*p**2 + 7789582 wrt p? -8793242*p Find the third derivative of 23063*b**2*s*z**3 + 352*b**2*s*z**2 + b**2*z**2 + 305*b**2 - 394*b*s*z**3 + 4*s*z**2 wrt z. 138378*b**2*s - 2364*b*s What is the third derivative of 1579868*b**6 + b**4 - 4*b**3 + 9090029*b**2 - 2*b? 189584160*b**3 + 24*b - 24 What is the derivative of -86*o**4 + 80*o**3 + 1920*o**2 - 47390954? -344*o**3 + 240*o**2 + 3840*o Find the second derivative of -725695114*f**3 + 94*f + 495141. -4354170684*f Find the second derivative of -1132*j*t**3 - 809*j*t**2 + 7*j*t - 447*j + 4*
{ "pile_set_name": "DM Mathematics" }
/20 - 24*k**2. Let b(o) be the third derivative of x(o). Factor b(s). -3*(s + 4)**3 Factor -27*t**3 + 206*t**2 + 225*t - t**2 - 49*t**2 + 42. -3*(t - 7)*(t + 1)*(9*t + 2) Let f(a) be the third derivative of 11*a**7/14 + 7*a**6/40 - 3*a**5/10 - 10*a**2 + a. Factor f(g). 3*g**2*(5*g + 2)*(11*g - 3) Factor 7/6*s**2 + 4/3 + 5*s. (s + 4)*(7*s + 2)/6 Let m(c) be the first derivative of -4*c**3/3 - 380*c**2 - 36100*c + 407. Suppose m(s) = 0. Calculate s. -95 Let a(n) be the first derivative of 2/3*n**3 + 0*n - 17 - 4*n**2. Find c such that a(c) = 0. 0, 4 Let g(c) = 7*c**2 + c + 4. Let b(q) = -6*q**2 - 4. Suppose 7*j = 12*j + 30. Let z(m) = j*b(m) - 5*g(m). Factor z(s). (s - 4)*(s - 1) Let t(n) be the first derivative of -5*n**4/4 + 80*n**3/3 - 205*n**2/2 + 130*n + 475. Factor t(h). -5*(h - 13)*(h - 2)*(h - 1) Let c = -1243/168 - -158/21. Determine x so that -1/4 - 3/8*x - c*x**2 = 0. -2, -1 Let d = -7 + 15. Suppose -4*b - 24 = -2*j, -4*b = -j - 3*b + d. Solve -3*i**2 + j*i**3 - 4*i**2 - 9*i**2 + 12*i = 0 for i. 0, 1, 3 Let b(a) = -14*a + 100. Let c be b(7). Find f, given that 2/5*f - 2/5*f**c + 12/5 = 0. -2, 3 Suppose 39*h - 32*h = 812. Let q be 1*22/24 + (-29)/h. Determine l so that -2/3*l**2 - q*l**3 - 1/6*l**4 + 0 + 0*l = 0. -2, 0 Let d = 1772/5 - 12354/35. Find b such that d*b - 2/7*b**2 - 8/7 = 0. 1, 4 Suppose -12 = -a - 2*x, 5*a - 2*x - 24 = -0*x. Suppose 0 = -a*l + 15 + 9. Factor -1/5 + 1/10*c**l + 3/10*c - 3/10*c**3 + 1/10*c**2. (c - 2)*(c - 1)**2*(c + 1)/10 Let c(t) = -1808*t**3 + 4848*t**2 + 1668*t + 120. Let g(z) = 5423*z**3 - 14543*z**2 - 5003*z - 365. Let v(n) = -8*c(n) - 3*g(n). Suppose v(x) = 0. What is x? -3/19, 3 Let b(o) = -o**3 + 18*o**2 + 46*o - 510. Let z be b(19). Factor -1/2*w - 1/2*w**5 - w**2 + 1/2 + w**z + 1/2*w**4. -(w - 1)**3*(w + 1)**2/2 Let b(f) = -f**3 - f**2 + f. Let s be b(0). Let p(q) be the second derivative of 34/3*q**3 + 10*q + 21/2*q**4 + s - 81/20*q**5 + 4*q**2. Factor p(w). -(w - 2)*(9*w + 2)**2 Let n be 2184/532 - (-2)/(-19). Factor 3/4*u**5 + 3/2*u**2 - 3/4*u + 0 - 3/2*u**n + 0*u**3. 3*u*(u - 1)**3*(u + 1)/4 Let l(w) = 2*w**2 + 6*w. Let z be l(2). Let 9*k**2 + 9*k**2 + 2*k**3 - z*k**2 = 0. Calculate k. 0, 1 Let g = 32/13 + 1/26. Let i(q) be the first derivative of -4 + 0*q - 3/4*q**2 + g*q**3 - 3/2*q**4. Factor i(w). -3*w*(w - 1)*(4*w - 1)/2 Let g(q) = q**3 - 7*q**2 + 17*q - 20. Let n be g(4). Let a = 5 - 3. Find x, given that 2/3*x**3 - 2/3*x**4 + 4/3*x**a + 0*x + n = 0. -1, 0, 2 Let z(v) be the third derivative of -v**8/840 - v**7/525 + 7*v**6/150 + v**5/25 - 3*v**4/4 + 9*v**3/5 + 297*v**2. Suppose z(c) = 0. Calculate c. -3, 1, 3 Let r(q) be the third derivative of q**8/2016 - q**6/240 + q**5/180 - 31*q**2. Factor r(u). u**2*(u - 1)**2*(u + 2)/6 Let k = 200 - 146. Let b be (36/k)/(1/3). Find r, given that 3/5*r**b + 0 - 6/5*r = 0. 0, 2 Let t be (-2)/(84/7 + -15). Factor t*a**4 - 8/3*a - 8/3*a**3 + 4*a**2 + 2/3. 2*(a - 1)**4/3 Let w(z) be the second derivative of 4/13*z**3 - 1/65*z**6 + 1/130*z**5 + 17*z + 11/78*z**4 + 4/13*z**2 - 1/273*z**7 + 0. Let w(t) = 0. Calculate t. -2, -1, 2 Suppose -20 = -4*w + 2*j, 4*w - 4*j = 42 - 14. Suppose w*k = 5*k - 14. Determine u so that k*u**2 - 3*u**5 - 2*u**2 - 2*u**3 + 5*u + u**2 + 1 - 7*u**4 = 0. -1, -1/3, 1 Factor -2/5*z**4 - 224/5*z + 32 + 96/5*z**2 - 8/5*z**3. -2*(z - 2)**3*(z + 10)/5 Determine n, given that 2256 - 1128 - 1128 - 60*n**2 + 63*n - 3*n**3 = 0. -21, 0, 1 Let s(i) = -36*i - 535. Let k be s(-15). Determine t so that 0 + 18/5*t**3 - 21/5*t**4 + 6/5*t**k - 6/5*t + 3/5*t**2 = 0. -1/2, 0, 1, 2 Factor -5/2*q**3 + 11*q**2 - 5/2*q - 6. -(q - 4)*(q - 1)*(5*q + 3)/2 Let q(n) = -n**2 - 4*n + 11. Let i(g) = 9*g - 10. Let r(z) = 10*z - 10. Let h(a) = -5*i(a) + 4*r(a). Let m(o) = 6*h(o) - 5*q(o). Factor m(t). 5*(t - 1)**2 Let w be (-9)/(9/16)*-20. Let i be (3/12)/((-8)/(w/(-25))). Let 8/5*z**3 + 0 + 4/5*z + 2*z**2 + i*z**4 = 0. What is z? -2, -1, 0 Suppose o + 224 = -5*x - 7, 2*x = -o - 234. Let c = o + 435. What is b in -199 + c + b**4 + 12*b**2 - 8*b - 6*b**3 = 0? 0, 2 Let g(h) be the third derivative of -2*h**7/105 - 7*h**6/15 - 13*h**5/15 - 194*h**2. Suppose g(j) = 0. Calculate j. -13, -1, 0 Let f = 165 - 1979/12. Let p(i) be the first derivative of -1/3*i**3 + 1/15*i**5 + 5/6*i**2 - 2/3*i - 6 - f*i**4. Suppose p(q) = 0. What is q? -2, 1 Let n(w) = 3*w**2 - 4*w - 4. Let d = 31 - 27. Let r(k) = 5*k**2 - 7*k - 7. Let y(l) = d*r(l) - 7*n(l). Let y(h) = 0. What is h? 0 Let x(f) be the third derivative of 0*f**5 + 0*f**4 + 0*f**3 + 0*f**6 + 0*f + 1/1365*f**7 + 0 - 10*f**2. Factor x(k). 2*k**4/13 Suppose 2*y = 5*m - 29, -7 + 40 = 3*m + 4*y. Suppose -b - 2 = -m. Find k, given that 28/11*k**3 + 12/11*k**4 + 18/11*k + 4/11 + 32/11*k**2 + 2/11*k**b = 0. -2, -1 Let t(n) be the first derivative of -3*n**4/32 - 5*n**3/4 - 9*n**2/4 + 27*n + 561. Find w such that t(w) = 0. -6, 2 Suppose -4*b = -3*a + 106, 0 = -a + 5*b + 31 + 19. Let -a - 2*w + 137*w**2 - 132*w**2 - 3*w = 0. Calculate w. -2, 3 Let c(v) = -2*v**2 + 61*v - 3. Let a(g) = -20*g**2 + 672*g - 32. Let y(w) = -3*a(w) + 32*c(w). Find s, given that y(s) = 0. -16, 0 Let m(l) = l**4 + 5*l**3 + 2*l**2. Let o(u) = u**4 - u**3 + u**2. Let x(s) = -m(s) + 2*o(s). Determine i, given that x(i) = 0. 0, 7 Let v(n) be the second derivative of 5/42*n**3 + 0 - 2/7*n**2 + 36*n - 1/84*n**4. Factor v(k). -(k - 4)*(k - 1)/7 Factor 5024 - 86*c - 1424 - 154*c + 4*c**2. 4*(c - 30)**2 Suppose -j = -0*j - 2. Let t(w) = w**3 - w - 4*w + w + 2*w**j + w. Let y(u) = 2*u**3 + 5*u**2 - 6*u + 1. Let r(i) = -5*t(i) + 2*y(i). What is h in r(h) = 0? -1, 2 Let d be (3/(-178))/((-84)/(-16) - 3). Let j = d + 271/534. Find s, given that 2*s + 3/2 + j*s**2 = 0. -3, -1 Let i be ((-4)/(-14))/((-582)/(-6790)). Factor 2/3*b**2 + 2 + 2/3*b**3 - i*b. 2*(b - 1)**2*(b + 3)/3 Factor 1/2*n**3 - 7/2*n**2 + 0*n + 0. n**2*(n - 7)/2 Let k(d) = 6*d**4 - 19*d**3 + 63*d**2 - 130*d + 70. Let q(l) = l**4 - l**3 - l**2 - 1. Let s(h) = k(h) - 5*q(h). Solve s(z) = 0. 1, 3, 5 Let k = 74 - 60. Let f = 128/9 - k. Suppose -f*m**3 - 2/9 - 2/3*m - 2/3*m**2 = 0. Calculate m. -1 Suppose 167 + 53 = 10*c. Let a be (c/(-3) - -4)/((-12)/18). Find z, given that -5/4*z - 5/4*z**4 - 5/2*z**2 - 1/4*z**a - 5/2*z**3 - 1/4 = 0. -1 Let u(l) be the second derivative of l**4/48 + 13*l**3/24 + 11*l**2/4 - 5*l - 6. Solve u(j) = 0. -11, -2 Let m(n) be the first derivative of -4 + 1/5*n**5 + n**4 + n**2 + 0*n + 5/3*n**3. Determine y, given that m(y) = 0. -2, -1, 0 Let j(r) be the second derivative of 3*r**5/10 - 35*r**4/4 - 9*r**3 + 262*r. Factor j(t). 3*t*(t - 18)*(2*t + 1) Suppose -2*a - 4*j = 12, -a - 1 + 4 = -j. Suppose -5*c + 27 = 3*g, a = -5*c + 2*g + 7. Factor -r**2 - r**2 + 6*r - 3*r + 2 - 5*r + 2*r**c. 2*(r - 1)**2*(r + 1) Let r(u) be the third derivative of -u**5/60 - u**4/2 - 11*u**3/6 + u**2. Let x(k) = -2*k**2 - 12*k - 10. Let c(l) = 6*r(l) - 5*x(l). Factor c(t). 4*(t - 4)*(t + 1) Suppose o + 3 = 0, -u + o - 14 = 5*o. Let a be (u/8)/(5/(-10)). Find p, given that 9/2 + 3*p + a*p**2 = 0. -3 Let a be -4 - (0 - -4 - 12). Suppose -y + a*y = 0. Find q such that 15/2*q**2 - 15/2*q**4 + y + 3*q**3 - 3*q = 0. -1, 0, 2/5, 1 Suppose -o = 2*o - 9. Suppose -4*f + 13 = 3*j, 2*f + o*f - 5*j = 25. Determine a so that -25*a**f + 0*a**4 - 21*a**5 - 2*a**4 - 6*a**3 = 0. -1, -2/7, 0 Let n(l) = 9*l**2 + 5. Let r = 3 - 1. Suppose 4*d + 0*o = -3*o + 29, -5*o = -r*d - 5. Let s(k) = -13*k**2 - 7. Let c(t) = d*s(t) + 7*n(t). Factor c(f). -2*f**2 Suppose -2*n + 28 = c - 2*c, 4*c + 3*n = -123. Let y be (-4)/20 + 53*(-2)/c. Determine h, given that 4/3 + 2/3*h**4 - y*h**3 + 6*h**2 - 14/3*h = 0. 1, 2 Let v(w) be the third derivative of -w**7/840 + w**6/40 - 17*w**5/80 + 23*w**4/24 - 5*w**3/2 + 165*w**2 + 2*w. Suppose v(h) = 0. What is h? 2, 3, 5 Let d(x) = -54136*x**2 + 2322*x - 24. Let t(o) = 18045*o**2 - 775*o + 8. Let r(p) = -5*d(p) - 14*t(p). Solve r(u) = 0 for u. 2/95 Let w = -55 - 15. Let p be (1*18/(-21))/(225/w). Factor -2/15*u**3 + p*u**2 + 0*u + 0 - 2/15*u**4. -2*u**2*(u - 1)*(u + 2)/15 Let u(k) be the third derivative of -k**8/84 - 2*k**7/15 - 19*k**6/30 - 5*k**5/3 - 8*k**4/3 - 8*k**3/3 + 7*k**2 + 2*k. Suppose u(v) = 0. Calculate v. -2, -1 Let u be 14/2*64/112. Let m be (-6)/(0 - -3) + u. Factor 4*w**3 - 4*w
{ "pile_set_name": "DM Mathematics" }
, -17172996, -17172997, -17172998, -17172999? -n - 17172993 What is the b'th term of -320, -647, -916, -1127, -1280? 29*b**2 - 414*b + 65 What is the o'th term of 71, 649, 2241, 5363, 10531, 18261? 86*o**3 - 9*o**2 + 3*o - 9 What is the n'th term of 94303, 92400, 90503, 88618, 86751, 84908, 83095, 81318? n**3 - 3*n**2 - 1901*n + 96206 What is the n'th term of -1367, -3416, -6157, -9590? -346*n**2 - 1011*n - 10 What is the x'th term of 574915, 574933, 574951, 574969? 18*x + 574897 What is the q'th term of -38802, -77354, -115884, -154392, -192878? 11*q**2 - 38585*q - 228 What is the q'th term of -1461411, -1461422, -1461433, -1461444, -1461455, -1461466? -11*q - 1461400 What is the h'th term of 6012, 8075, 10094, 12069, 14000, 15887? -22*h**2 + 2129*h + 3905 What is the q'th term of -6363, -3950, -1537, 876? 2413*q - 8776 What is the u'th term of 1845, 11853, 38211, 89097, 172689, 297165, 470703? 1363*u**3 - 3*u**2 + 476*u + 9 What is the c'th term of -2044499, -2044498, -2044497, -2044496, -2044495? c - 2044500 What is the w'th term of 7363, 14964, 22793, 30844, 39111, 47588? -w**3 + 120*w**2 + 7248*w - 4 What is the t'th term of 191763, 381871, 570323, 757119? -828*t**2 + 192592*t - 1 What is the g'th term of -4996, -19707, -43762, -76789, -118416, -168271, -225982, -291177? 62*g**3 - 5044*g**2 - 13*g - 1 What is the n'th term of 77449, 309737, 696887, 1238899, 1935773, 2787509, 3794107? 77431*n**2 - 5*n + 23 What is the x'th term of 1467, 1454, 1419, 1356, 1259, 1122, 939? -x**3 - 5*x**2 + 9*x + 1464 What is the p'th term of 12227320, 24454688, 36682056, 48909424? 12227368*p - 48 What is the q'th term of 389, 2348, 7089, 15818, 29741? 201*q**3 + 185*q**2 - 3*q + 6 What is the r'th term of 73687, 147434, 221157, 294844, 368483, 442062? -2*r**3 + 73761*r - 72 What is the d'th term of 11045, 21408, 38677, 62852? 3453*d**2 + 4*d + 7588 What is the u'th term of 136147205, 136147212, 136147217, 136147220, 136147221, 136147220? -u**2 + 10*u + 136147196 What is the c'th term of -166, 581, 1828, 3581, 5846, 8629, 11936, 15773? c**3 + 244*c**2 + 8*c - 419 What is the f'th term of 284966, 569957, 854968, 1139999? 10*f**2 + 284961*f - 5 What is the c'th term of 608295, 608321, 608351, 608385? 2*c**2 + 20*c + 608273 What is the q'th term of 2964, 3341, 4218, 5847, 8480, 12369, 17766, 24923? 42*q**3 - 2*q**2 + 89*q + 2835 What is the o'th term of 8725464, 8725446, 8725426, 8725404? -o**2 - 15*o + 8725480 What is the a'th term of 753, 924, 1313, 2028, 3177, 4868, 7209? 18*a**3 + a**2 + 42*a + 692 What is the q'th term of -3566088, -3566081, -3566078, -3566079? -2*q**2 + 13*q - 3566099 What is the s'th term of 905946198, 1811892397, 2717838596? 905946199*s - 1 What is the l'th term of -48853, -195404, -439655, -781606? -48850*l**2 - l - 2 What is the g'th term of 208, 1368, 3394, 6286, 10044, 14668, 20158? 433*g**2 - 139*g - 86 What is the x'th term of 1194578, 4778496, 10751702, 19114202, 29866002? x**3 + 1194638*x**2 - 3*x - 58 What is the s'th term of 249917476, 249917478, 249917480, 249917482, 249917484? 2*s + 249917474 What is the g'th term of -4855, -13334, -25433, -41152? -1810*g**2 - 3049*g + 4 What is the h'th term of -550682, -2202736, -4956150, -8810918, -13767034, -19824492, -26983286, -35243410? h**3 - 550686*h**2 - 3*h + 6 What is the h'th term of 21888274, 21888271, 21888268, 21888265, 21888262? -3*h + 21888277 What is the h'th term of 1008, 1256, 1510, 1770, 2036, 2308, 2586? 3*h**2 + 239*h + 766 What is the f'th term of -34603, -69217, -103833, -138457, -173095? -f**3 + 5*f**2 - 34622*f + 15 What is the j'th term of -332042, -664024, -996004, -1327982? j**2 - 331985*j - 58 What is the v'th term of 5916, 11672, 17428, 23184, 28940? 5756*v + 160 What is the i'th term of 5556, 20572, 45058, 79020, 122464, 175396? i**3 + 4729*i**2 + 822*i + 4 What is the q'th term of -3934, -31187, -104910, -248263, -484406? -3860*q**3 - 75*q**2 - 8*q + 9 What is the p'th term of 5799417, 5799415, 5799413? -2*p + 5799419 What is the y'th term of -11386021, -11386020, -11386019, -11386018, -11386017? y - 11386022 What is the i'th term of 857, 5749, 10641, 15533, 20425? 4892*i - 4035 What is the p'th term of 91, -1352, -5725, -14492, -29117? -244*p**3 - p**2 + 268*p + 68 What is the s'th term of -42533, -42617, -42707, -42803, -42905, -43013, -43127? -3*s**2 - 75*s - 42455 What is the f'th term of 3787, 15144, 34035, 60430, 94299, 135612, 184339, 240450? -5*f**3 + 3797*f**2 + f - 6 What is the i'th term of -2021, -4866, -8447, -12764, -17817, -23606? -368*i**2 - 1741*i + 88 What is the v'th term of -10805, -22074, -33343, -44612, -55881? -11269*v + 464 What is the l'th term of 14230277, 14230275, 14230273, 14230271, 14230269? -2*l + 14230279 What is the d'th term of -93081, -93017, -92955, -92895, -92837? -d**2 + 67*d - 93147 What is the p'th term of -9216, -19429, -29642, -39855, -50068, -60281? -10213*p + 997 What is the a'th term of -21, 185, 715, 1731, 3395? 27*a**3 + 17*a - 65 What is the j'th term of 1527652, 3055346, 4583040? 1527694*j - 42 What is the f'th term of 143327, 573316, 1289973, 2293298, 3583291, 5159952? 143334*f**2 - 13*f + 6 What is the b'th term of -66009, -132125, -198301, -264567, -330953, -397489, -464205? -5*b**3 - 66081*b + 77 What is the j'th term of 87805, 351237, 790271, 1404889, 2195073, 3160805, 4302067? -3*j**3 + 87819*j**2 - 4*j - 7 What is the h'th term of 1970, 3179, 4388, 5597? 1209*h + 761 What is the g'th term of -27658, -27629, -27594, -27553, -27506? 3*g**2 + 20*g - 27681 What is the w'th term of 2922748, 2922736, 2922702, 2922634, 2922520, 2922348, 2922106, 2921782? -2*w**3 + w**2 - w + 2922750 What is the l'th term of 5551636, 5551620, 5551604, 5551588, 5551572? -16*l + 5551652 What is the y'th term of -4692, -6019, -8230, -11325? -442*y**2 - y - 4249 What is the l'th term of -803343, -3213389, -7230137, -12853593, -20083763? -l**3 - 803345*l**2 - 4*l + 7 What is the b'th term of -203, -605, -1509, -3143, -5735, -9513, -14705, -21539? -38*b**3 - 23*b**2 - 67*b - 75 What is the o'th term of 107895, 215716, 323461, 431130, 538723, 646240, 753681? -38*o**2 + 107935*o - 2 What is the k'th term of 3222, 7067, 11630, 16911, 22910, 29627, 37062? 359*k**2 + 2768*k + 95 What is the p'th term of -174254, -170113, -165960, -161789, -157594, -153369, -149108, -144805? p**3 + 4134*p - 178389 What is the c'th term of 157533, 157808, 158265, 158904, 159725, 160728? 91*c**2 + 2*c + 157440 What is the i'th term of -4003181, -4003311, -4003441, -4003571, -4003701, -4003831? -130*i - 4003051 What is the f'th term of 22906, 23044, 23280, 23614, 24046, 24576? 49*f**2 - 9*f + 22866 What is the c'th term of -3224, -3107, -2912, -2639, -2288? 39*c**2 - 3263 What is the r'th term of -524684, -524649, -524612, -524573, -524532, -524489? r**2 + 32*r - 524717 What is the l'th term of 1484, 6044, 13728, 24584, 38660? 8*l**3 + 1514*l**2 - 38*l What is the p'th term of 92, 103, 210, 437, 808, 1347, 2078? 4*p**3 + 24*p**2 - 89*p + 153 What is the l'th term of -742163, -1482530, -2222897, -2963264? -740367*l - 1796 What is the y'th term of -140, -226, -290, -320, -304, -230? 2*y**3 - y**2 - 97*y - 44 What is the b'th term of 229, 496, 799, 1138, 1513, 1924? 18*b**2 + 213*b - 2 What is the x'th term of 80895, 321251, 721835, 1282641, 2003663, 2884895? -x**3 + 80120*x**2 + 3*x + 773 What is the d'th term of 298175, 1192763, 2683759, 4771163, 7454975, 10735195? 298204*d**2 - 24*d - 5 What is the k'th term of -235189, -940838, -2117095, -3764104, -5882009, -8470954? -24*k**3 - 235160*k**2 - k - 4 What is the j'th term of 4546, 4250, 3736, 2998, 2030, 826, -620, -2314? -j**3 - 103*j**2 + 20*j + 4630 What is the f'th term of -31695, -31881, -32067, -32253? -186*f - 31509 What is the m'th term of 4355, 8802, 16189, 26516, 39783, 55990? 1470*m**2 + 37*m + 2848 What is the o'th term of -61936657, -61936656, -61936655, -61936654, -61936653, -61936652? o - 61936658 What is the w'th term of 80900, 161139, 241378? 80239*w + 661 What is the q'th term of 214750, 214740, 214720, 214684, 214626? -q**3 + q**2 - 6*q + 214756 What is the p'th term of -4644061, -9287850, -13931639, -18575428? -4643789*p - 272 What is the w'th term of 178583, 714329, 1607237, 2857307? 1
{ "pile_set_name": "DM Mathematics" }
+ 10 = 2*z for y. -2 Solve 0 = -45*r + 43*r - 2*p - 4, -2*r - 7 = -p for r. -3 Solve 0 = 3*f - 2*v + 2, -11 + 15 = -5*f + 4*v for f. 0 Solve 6 = -3*f + 2*i, -6*i - 6 = -4*i for f. -4 Solve 4*h = 3*t - 0*h - 2, 4*h + 4 = 2*t for t. -2 Solve 0 = 2*g - g + 5*d - 15, -5*g + 3*d = 9 for g. 0 Solve g = 6*g, -u - 4*g = -3 for u. 3 Solve t - 7 = 3*x - 12, 3*t - 9 = -3*x for x. 2 Solve -4*l + 5*a + 12 = 9*a, 3*l = 5*a - 15 for l. 0 Solve -4*x - x - 3*d = 34, -5*d - 25 = 2*x for x. -5 Solve -4*x = 3*c - 8, 2*c + x + 0*x - 2 = 0 for c. 0 Solve -2*z = 4*t + 20, -t - 39 = 4*z - 13 for t. -2 Solve -2*c = -2, c = t - 2*c + 3 for t. 0 Solve 4*t - z + 12 = -t, -5*z = 3*t + 24 for t. -3 Solve -1 = -3*i - 2*j - 9, 0 = -5*i + 5*j - 30 for i. -4 Solve -z - 2*r = 5, -3*z = 4*r + 4 + 9 for z. -3 Solve 2*i - 3*j + 14 = 0, -2*i = -13*j + 9*j + 16 for i. -4 Solve 3*x + 10 = 8*w - 3*w, 2*x - 20 = -2*w for w. 5 Solve x - 3 = 5*i, 5*i + 5*x = i + 44 for i. 1 Solve -5*f + 5*q = -12 - 18, -4*f = q - 9 for f. 3 Solve -g + 4*z = -9, -2*g = 18*z - 17*z for g. 1 Solve -3*h = 12, -4*r - 15*h = -11*h + 28 for r. -3 Solve 4*r + 6 = 4*z + 10, 2 = 5*z + 2*r for z. 0 Solve -5*u + g + 11 = 0, 4*u = u - 3*g + 3 for u. 2 Solve 2*f = 4*w + 3*f - 15, 2*w - 6 = -2*f for w. 4 Solve -n + 3*s + 4 = 6, 15 = -2*n - 5*s for n. -5 Solve -13*l + 17*l = -3*t + 24, -3*t + 21 = 3*l for l. 3 Solve -5*p - 2*h = 19, -3*p - 1 = -2*h + 20 for p. -5 Solve 0 = -5*h + y - 12, 6*y - 2 = 5*y for h. -2 Solve 4*c - 5*k - 21 = 0, -23 + 16 = -c + 3*k for c. 4 Solve -u = -8*q + 3*q - 14, -q = u - 2 for u. 4 Solve -2 = 2*f - t, 2*t + 12 = -4*f + 6*t for f. 1 Solve -5*p + 13*f = 18*f - 45, -3 = -p + f for p. 6 Solve t - 12 = -3*k, -24*k + 21*k + 2*t = -12 for k. 4 Solve 2*g - g = k - 7, -k - 2*g = 5 for k. 3 Solve -2*d - 11 + 2 = p, 0 = d + 5*p for d. -5 Solve -4*a + 0*a = -3*g + 1, -3*a = 3*g + 27 for a. -4 Solve 5*x - 4*b + 8 = 0, 3*b + 6 = 4*x + 12 for x. 0 Solve 20 = -t + 4*g + 34, 5*t - 7 = -g for t. 2 Solve -2*r = 3*w + 3*r + 25, -2*w + 25 = -5*r for w. 0 Solve -7*q = -w + 11, -2*q + 37*w - 40*w = -10 for q. -1 Solve m + 5*y - 8 = 0, -3*y - 3 = -6*y for m. 3 Solve 3*k - 4*o = -17, k + 0*k + 14 = 3*o for k. 1 Solve g + 11*c - 6*c = -14, 4*c + 4 = g for g. -4 Solve -z + 2*c = -c - 4, 5*c + 15 = 0 for z. -5 Solve 5*n - 18 = d - 2*d, -2*n = -d - 10 for d. -2 Solve -5*m = 4*y + 23 + 1, 0 = m + 3*y + 7 for m. -4 Solve 0*h + 2*h - 4 = -3*d, -2*h = d - 4 for d. 0 Solve -3*l + j = 2*l - 6, -4*l + 9 = -5*j for l. 1 Solve -60 = 2*i - 62, 3*j - 3*i = 0 for j. 1 Solve -4*z = -j - 11, 6*j - 5*z + 22 = 2*j for j. -3 Solve -16 = 4*s + 2*t, s + t = 4*t - 4 for s. -4 Solve -y + 5*g = 0, 3*y + 6*g + 28 = 7 for y. -5 Solve 2*t + t = -5*n - 1, n - 3 = t for n. 1 Solve 0 = -4*k, 33*v + 4*k = 30*v - 15 for v. -5 Solve -5*g - 31 = 3*c - 42, 2*g - 5*c - 23 = 0 for g. 4 Solve 16 = 6*l - l - 2*a, 2*a = -l + 8 for l. 4 Solve 3*b + 4 = 4*m - 1, -3*m - 5 = -4*b for m. 5 Solve 0 = -2*o - 3*p + 8, 12 = 4*p - 4 for o. -2 Solve y = 3*m, -2*m = -y - 4*m + 5 for y. 3 Solve -4*w - 4 = 0, 8*q + w = 11*q + 11 for q. -4 Solve 9*x = 3*c + 11*x, c = x - 5 for c. -2 Solve -85*c + 89*c - 3*i = -35, -2*c = i + 5 for c. -5 Solve -2*r = -2*f - 12, 0 = -2*r + 3*f + 5 + 8 for r. 5 Solve 5*w + 20 = 0, -2*o - 2*w - w - 24 = 0 for o. -6 Solve 2*o = 3*z, z - 10 = 13*o - 9*o for z. -2 Solve -a - 2*n + 2 = -5*a, a - 4*n = 3 for a. -1 Solve -2*m + 28 = 4*t, 5*t + 40 = 8*m + 12 for t. 4 Solve 0 = -3*u + 3*l + 9, 0 = -4*u - 4*l + 38 + 6 for u. 7 Solve -3*l = 0, -r - 5*l + 6*l - 4 = 0 for r. -4 Solve 8 = -4*o + 3*g, 45*g - 41*g + 26 = -2*o for o. -5 Solve x + 4 = o + 2*x, 6*x - 14 = -4*o for o. 5 Solve 4*r + 7*p - 45 = 0, -33 = -2*r - 3*p - 12 for r. 6 Solve -35 = 4*k + 5*c - 0, -c + 12 = -3*k for k. -5 Solve -10 = 5*q, 5*z - 3*q + 10 = 2*q for z. -4 Solve 0 = 4*v - 4*l + 4, 13*l - 2 = -4*v + 14*l for v. 1 Solve 3*f + 27 = -3*s, -9*f = -5*f + 20 for s. -4 Solve -2 = -2*x + 2*k, 5*x + 71*k - 9 = 72*k for x. 2 Solve -2*f = 5*l - 13, -4*l - 15 + 7 = -3*f for l. 1 Solve -1543*f + 4*s = -1548*f - 29, 2*f + 4*s = -14 for f. -5 Solve 3*y = a - 4, a - 2 = -4*a - 3*y for a. 1 Solve 2 = 4*g - 3*t - 13, 5*g + t + 5 = 0 for g. 0 Solve 0 = -2*n + 2*s - 2, -4*n + 18 = 5*s - 5 for n. 2 Solve 4*j - j = 5*n + 30, -14 = -j + 3*n for j. 5 Solve -2*l - 24 = -5*y, 88*y - l + 10 = 91*y for y. 4 Solve -4*r = -4*u + 24, 4*u - 15 = 2*u + 3*r for u. 3 Solve 0 = -m - c + 2, -4*m = -5*c - 6 + 25 for m. -1 Solve 0*p - 5*p = 0, 2*p = -2*z - 6 for z. -3 Solve -5*u + 4 = -9*u, 6 = 3*d - 3*u for d. 1 Solve -18 = -5*o - 3*g - 39, -o = -2*g + 12 for o. -6 Solve -5*x = 4*m - 12, -3*m + 5*x + 8 = -1 for m. 3 Solve 0 = -5*y + 3*s - 12, 3*y + 2*s + 348 - 356 = 0 for y. 0 Solve 0 = 5*l - 5*r - 35, -r - 6 = r for l. 4 Solve 2*k + 2*u + 10 = 0, 0 = -5*k + 2*k + u + 5 for k. 0 Solve 0 = q - 4*w + 10, -138*q = -137*q - 5*w + 13 for q. 2 Solve 2*s + 2*l + 11 = -1, 2*s + 4*l = -18 for s. -3 Solve 2*g = 2*h + 14, -g - 7*h + 4*h = 1 for g. 5 Solve 5*r - 20 = -5*j, 4*j - 2 = 3*r - 0*j for r. 2 Solve -5 - 35 = -4*y + 5*a, -2*y + a + 14 = 0 for y. 5 Solve 3*o = -4*p - 29, o - 5*p = 4*o + 34 for o. -3 Solve 0 = -p - 3*q, -4*p = 3*q - 7*q for p. 0 Solve r + 30 = 3*y, -30 = -117*r + 121*r - 2*y for r. -3 Solve 3*w - 11 = 2*f, 42*w - 27 = 4*f + 41*w for f. -7 Solve -4*i + 14 = 2*g - 4*g, 4*i - 20 = 0 for g. 3 Solve 4*u + 3 = 7, -2*u = -2*z + 2 for z. 2 Solve 0 = 3*h - 3*k + 15, -h = 2*k - 10 for h. 0 Solve 5*y - 4*m + 2*m = 10, -4*m - 20 = 4*y for y. 0 Solve -3*l + 67*x = 62*x + 11, -3*l - 4 = 2*x for l. -2 Solve -3*r = 4*c - 0*r + 23, 5*r = -3*c - 31 for c. -2 Solve 2*b = 3*c - 17, 5*b - 4*c + 49 = 24 for b. -1 Solve 3*s - 8 = -s, -5*s - 5 = 3*f for f. -5 Solve -3*r + 5*q - 11 = -6, -2*r = q - 14 for r. 5 Solve -4*f = 4*y - 0*y - 36, -2*y = f - 14 for f. 4 Solve -5*m - 38 = -2*z - 49, 0 = -6*z - m + 15 for z. 2 Solve 4*z - 3 = -3*n, -4 = -2*z + 2*n - 6*n for z. 0 Solve -y = -4*w + 12, 5*y + 3*w - 16 = 4*y for y. 4 Solve -s + 5*j + 8 = 23, j = 3*s + 17 for s. -5 Solve 6*b - 5*x = 2*b - 13, 5*b + 10 = 5*x for b. 3 Solve 2*a + 4 = 6*o - 3*o, -4*o - 8 = 0 for a. -5 Solve -3*d - 17 = n - 5, n = 4*d + 9 for d. -3 Solve -q + 3 = 2*m, 28*m + q = 30*m - 13 for m. 4 Solve 5*t - 6*f - 10 = -7*f, t + 14 = 3*f for t. 1 Solve -9*v + 6*v = 5*y + 16, 3*v = -4*y - 17 for v. -7 Solve -3*k = 5*v + 9, -5*k = -6*v + 5*v + 15 for v. 0 Solve -2*a + 3 = 3*p - 6*p, -a = -3*p - 6 for a. -3 Solve -2 - 19 = 5*t + y, 3*t = -5*y + 5 for t. -5 Solve -2*i - m - 3*m = 2, 4*i + 2*m + 10 = 0 for i. -3 Solve -5*n = 0, -2*i + 10 = -4*n - 0 for i. 5 Solve -13 = -3*u + 5*m, 2*u - m = 5 - 1 for u. 1 Solve 5*t + 4*b = 17*t + 28, t = b - 3 for t. -2 Solve -4*s + 12 = 0, 6*s - 11 = 5*i + 4*s for i. -1 Solve -2*z = 2*z - 4, -2*j + 11 = 3*z for j. 4 Solve 9*z - 4 = 5*d + 11*z, 8 = -3*d - 4*z for d. 0 Solve 5*d - d + 8 = 4*m, -m = d for m. 1 Solve 0 = -t - 5*d - 20, 3*t - 2*d - 2 + 11 = 0 for t. -5 Solve 2*q - 15 = -5*j, -5*q = 5*j - 10*q - 50 for j. 5 Solve 5*u - 7*p - 23 = -29, 4*u + 3 = 5*p for u. 3 Solve -123*d + 24 = 4*q - 119*d, 0 = 4*d - 24 for q. 0 Solve 0 = 2*q + 5*a - 23, -5 = -2*q + 43*a - 42*a for q. 4 Solve 0 = -j + 4*n + 5, 4*n + 20 = -19*j + 15*j for j. -3 Solve 23*m - 33 = 18*m + 4*s, -4*m + 2*s + 24 = 0 for m. 5 Solve -5*b = d - 6, 5*d + 2*b - 3*b - 4 = 0 for d. 1 Solve -3*n - 7*c + 128 = 104, 0 = -3*c + 9 for n. 1 Solve -f + 6*f + 3*u = -25, -u = -3*f - 1 for f. -2 Solve -2*u + 25 = 5*s - 5, -2*s = 3*u - 23 for u. 5 Solve -6*y + 8*y = -3*c + 8, 2*y = -5*c + 8 for c. 0 Solve -2*i - 2 = -5*d, d = 3*d for i. -1 Solve 0 = 5*w + 9*l - 12*l + 20, 2*w - 3*l + 17 = 0 for w. -1 Solve 4*b - 2*k = -2, 7*b - k - 14 = 10*b for b. -3 Solve -8*s + 4*s - 18 = -g, s = -2*g for s. -4 Solve 5*n = -5*t - 10, -n - 3 = 3*t - 1 for n. -2 Solve -3*n = 4*x + 38 - 15, -4*x = 2*n + 22 for n. -1 Solve -4*u + 4 - 5 = 5*r, 4*r + 4 = 0 for u. 1 Solve g - k = 1, -6*k = -g - 3*k + 3 for g. 0 Solve 0 = 10*n - 5*n - 25, -z = -4*n + 24 for z. -4 Solve -3*g - 2*d = -3, 36*g + 3*d + 1 = 37*g for g. 1 Solve 0*l + 2*k = -3*l + 6, -l = 3*k + 5 for l. 4 Solve 2*z + 7 = 79*c - 78*c, 6 = 2*c for z. -2 Solve -2*z + 10 = -2*y + 2, 0 = 3*y - 4*z + 13 for y. -3 Solve -2*n - 5*r = 6, 3*n - 27
{ "pile_set_name": "DM Mathematics" }
)*-6*(-72)/(-27). Does 29 divide -2 - 16/d - 3840/(-9)? False Let k be (7384/(-156))/(2/(-3)). Suppose k*s = 83*s - 948. Does 9 divide s? False Suppose 20635 = 5*c + 2525. Is 32 a factor of c? False Let a be (21/6 + -3)/((-1)/(-4)). Suppose 5*i - 501 = -2*u, -a*i = -0*i - u - 195. Is i a multiple of 11? True Let v = 232 + -230. Let w(y) = y + 4*y + 8*y + 1. Is w(v) a multiple of 19? False Let f be ((-308)/(-8) - 1)/(27/36). Let h(g) = g**3 - 50*g**2 + 12*g + 162. Is h(f) a multiple of 6? True Let m(p) = 3*p**2 + 33*p - 73. Let n be m(-13). Suppose 4*s - 2925 = -n*l, -s - s + 5*l + 1485 = 0. Is s a multiple of 15? True Is 3 + 2 + -2 + 1 - -10905 a multiple of 38? False Suppose -20*o + 21978 + 53922 = 0. Is o a multiple of 55? True Let w be 1*4/2 - -1. Suppose -254 = 4*g - 914. Suppose -2*y - 4*c = -w*y + 52, 5*y - c = g. Does 32 divide y? True Let z(w) = 2*w**2 + 5*w + 5. Let t be z(-2). Suppose -t*x - 5 = -14. Suppose u = x*d - 8 - 15, 26 = 3*d + 2*u. Is 4 a factor of d? True Let n(l) = l**2 + 6*l + 13. Let k be n(-3). Does 37 divide 74*(54/12 - k)? True Let n = 86 + -82. Let v(l) be the first derivative of 2*l**3/3 - l**2 - 4*l + 2. Is v(n) a multiple of 4? True Let x = -10 - -10. Suppose x = 3*s - k - 6, 2*k = -2*k. Is (-4)/6*(-51)/s a multiple of 12? False Let f be 10/4*18/(-9)*-1. Suppose -f*g = r - 3842, 8*g - 6*g + 3*r - 1542 = 0. Is 8 a factor of g? True Let t be 120/90*(-723)/(-4). Suppose 0 = -2*g + t + 1309. Is g a multiple of 25? True Let v(r) = -112*r + 72. Let t be v(-9). Suppose 20*d - t = -16*d. Does 30 divide d? True Let x be (-249)/(-21) + 1 - (-96)/(-112). Is 3 a factor of 2/(-13) + x + (-1412)/(-52)? True Let d = -5742 - -20904. Is d a multiple of 21? True Let p(v) = v**3 + 5*v**2 + 13*v + 26. Let j be p(-3). Is 1525/(-10)*(j + (-29)/5) a multiple of 10? False Let h(p) = 10*p + 10. Let c(k) = -k. Let u(n) = -5*c(n) + h(n). Let b = -20 + 31. Does 35 divide u(b)? True Let y be 280/6 - 2/(-6). Suppose -f = -0*f + 4*d - 13, -3*d + 13 = 4*f. Suppose -3*t + f + y = 0. Is t even? True Let q(u) = -u**3 + 17*u**2 - 16*u + 16. Let j be q(16). Let a = j - 22. Is 5 a factor of 2/(-11) + a + 1764/22? False Let m = 6520 - -65. Is m a multiple of 34? False Suppose -k + 1907 = -3*j, 0*k - 4*k = -j - 7573. Does 4 divide k? True Let q(n) = n + 6. Let c(z) = -5*z + 14. Let a be c(4). Let y be q(a). Is (-755)/(-10)*(y - -2) a multiple of 21? False Let l = -2250 - -3069. Is l a multiple of 7? True Suppose 0 = -h + 3*h + s - 17, 5*s = -4*h + 25. Let z(t) = t**3 - 8*t**2 - 16*t - 15. Does 9 divide z(h)? False Let n(k) = -183*k - 40. Suppose -15 = -18*v + 21*v + 4*f, 0 = -3*f. Does 35 divide n(v)? True Let a be (-7098)/36 - 3/(-18). Let t = 305 + a. Is 14 a factor of t? False Let a be 9720/(-63) - (-8)/28. Is (-11176)/a + 4/(-7) a multiple of 21? False Let v = -9582 + 29441. Does 31 divide v? False Let t(m) = 2*m**2 - 33*m + 65. Suppose -38*s + 18*s = -420. Is 11 a factor of t(s)? False Let g(j) = 35*j + 5*j - 20 + 16*j - 8*j. Is 20 a factor of g(7)? False Let j(s) = -13*s - 57. Let i(m) = 16*m + 58. Let y(g) = 6*i(g) + 4*j(g). Does 8 divide y(0)? True Let c(b) = -133*b - 1182. Is c(-13) a multiple of 3? False Let p = 429 - 439. Let w(d) = 6*d**2 + 19*d - 10. Is w(p) a multiple of 8? True Let j(d) = 17*d**2 + 17*d - 7. Let y be j(3). Suppose 0 = 3*a - 977 + y. Does 26 divide a? True Let p(o) = o**3 + 22*o**2 - 7*o - 51. Let r be p(-22). Let q = 70 - r. Let c = 1 - q. Is 7 a factor of c? False Let o = -53 - -75. Suppose 32 - 8 = -0*t + 8*t. Suppose -2*a = -c - 59, 0*a - a + t*c + o = 0. Does 4 divide a? False Let q be 6*3 + 17 + -21. Suppose 2072 + 2660 = q*a. Let j = a - 210. Is j a multiple of 8? True Let d = -411 - -461. Suppose 0 = -3*v - 3*p + 141, -5*v - 54*p + 238 = -d*p. Does 10 divide v? True Let z(c) = 397*c - 283. Is z(23) a multiple of 14? True Let q(t) be the second derivative of t**5/20 - 23*t**4/12 - 22*t**3/3 + 21*t**2 + 40*t. Is 9 a factor of q(25)? False Suppose -2*d + 2*h - 656 = 0, -3*d + 4*h = 5*h + 976. Let t = d + 704. Is 63 a factor of t? True Let k(f) = 11778*f + 782. Does 8 divide k(1)? True Is 14 a factor of 2211/12 - ((-27)/12 + (-35)/(-14))? False Suppose -35517 = -2*f - 0*v - 5*v, -4*v = 3*f - 53293. Does 13 divide f? True Suppose -28398 = -4*c + 5*r + 9475, -4*r = 5*c - 47290. Is c a multiple of 19? True Suppose -58*j + 56*j = -m - 32173, -m + 80429 = 5*j. Is 3 a factor of j? True Let p be -5 + 10 + -10 + -482. Let y = 108 - p. Does 17 divide y? True Suppose -5663100 = 113*w - 242*w. Is w a multiple of 20? True Let z(q) = q. Let a(w) = -7*w + 35. Let m(d) = -a(d) - 4*z(d). Let h(r) = -4*r - 100. Let c be h(-30). Does 10 divide m(c)? False Let u(x) = -x**2 - 15*x - 57. Let t be u(-8). Is 5 a factor of -4*(t + 606/(-24))? True Let c(a) = 388*a**2 - 2*a - 1. Let w be c(-1). Let t = w - -909. Is 16 a factor of (-5)/30 + t/12? False Suppose 0 = -1826*k + 1776*k + 763950. Is k a multiple of 33? True Let z(g) = -3*g + 10. Let t be z(3). Suppose -2*x + 3*x = 2*h - t, 2*h = -4*x + 16. Is 4 a factor of x*((-5 - -2) + 10)? False Let g = -209 - -114. Suppose 4*l + 2*r = -0*l + 568, 10 = 5*r. Let a = g + l. Does 23 divide a? True Let n = 136 - 131. Suppose -3*t + z = -0*t - 355, 0 = 5*t + n*z - 585. Is t a multiple of 21? False Let u = -30656 - -43370. Is u a multiple of 163? True Let h = -170 - -178. Does 5 divide ((-195)/6)/(4 + (-36)/h)? True Let g = -1413 - -898. Let f = -163 - g. Is f a multiple of 44? True Let g = 534 + -282. Let u = 542 - g. Is 6 a factor of u? False Let m(w) = -410*w**2 + 11*w - 11. Let v be m(1). Let d = -184 - v. Does 10 divide d? False Let a = -604 - -1394. Suppose -3*t + 787 = 5*m, a = -0*t + 3*t + 2*m. Is t a multiple of 22? True Let r(s) = 4*s**2 - 2*s - 15. Let d be -5*(-5)/25*10/2. Does 5 divide r(d)? True Let s(b) = 475*b**3 - b**2 - 4*b + 3. Let q be s(1). Let w = q + -255. Is 17 a factor of w? False Is 40/(-150)*-15 - (-10080)/(2/1) a multiple of 26? True Is 3 a factor of (16/(-384)*12)/((-2)/324)? True Let t = -1094 + 4202. Is 84 a factor of t? True Suppose -115*k + 64296 = -32764. Is k a multiple of 82? False Let c = 3782 + -2480. Is 93 a factor of c? True Suppose 2885*t - 18264 = 2884*t. Does 25 divide t? False Suppose 108 + 128 = k. Suppose 0 = 4*y - k - 420. Is 82 a factor of y? True Suppose 210732 = 11*f + 45*f + 46*f. Does 49 divide f? False Let t = -95 + 64. Let d(a) = -14*a - 82. Is d(t) a multiple of 11? True Does 65 divide 3345 + -58 + (3 - (-12)/3)? False Suppose 9*y + 31*y = 20*y + 18420. Is y a multiple of 5? False Let a be 32/(-2) - 0/(-2). Let t be (-2)/(a/2020) + 4/(-8). Suppose 3*p = 9*p - t. Is p a multiple of 5? False Let j(k) = -8*k**3 - 18*k**2 - 52*k + 59. Does 80 divide j(-12)? False Let d(b) = 2*b**3 + 147*b**2 + 316*b + 93. Is d(-69) a multiple of 271? True Let y be (-156)/(1*(-8)/12). Let g = y - 214. Does 3 divide g? False Let n be (-2)/(-9) - (-3 - (-102)/(-27)). Suppose -n*t = -14*t - 287. Let s = t - -71. Is 4 a factor of s? False Suppose 53*f - 57*f = 120*f - 789384. Is 70 a factor of f? False Let r(p) = -30 - p**2 + 3*p**2 + 99 - 11*p + 28. Is 8 a factor of r(11)? False Let u be (0 - (-24)/(-18))/((-1)/15). Does 19 divide u/90 + 2/(-9) - -143? False Suppose 17*h - 90020 = -23805. Is 45 a factor of h? False Is 17 a factor of -51*(-36)/306 - (2 - 10486)? False Suppose -5*o = -3*j - 658, 5*o - 363 = 4*j + 296. Let w = o + 158. Is 17 a factor of w? True Let b(r) = -2*r**2 + 23*r - 25. Let y be b(10). Suppose -21*l - 180 = -23*l + 2*c, 0 = y*l - 4*c - 450. Is l a multiple of 6? True Suppose -26*q + 45*q = 95. Suppose -q*f - 299 + 1552 = 3*z, 2*z = 3*f - 748. Does 11 divide f? False Let l(k) = -k**3 + 15*k**2 + 15*k + 20. Let v be l(16). Suppose -4 = -2*a + v. Does 9 divide -3 + (a - -4)/4 + 145? True Let p = 329 + -198. Suppose -31 = n - p. Suppose 5*b = -25, -n = -5*h + 2*b - b. Is 8 a factor of h? False Suppose -266386 = -13*o - 145734 + 221924. Is 12 a factor of o? True Let i = -599 + 605. Does 14 divide 1/(-2) + (i - (-1210)/4)? True Let r be (-879)/(-4) + (-12)/(-48). Let q = r + -136. Is 50 a factor of q? False Is 462/4*(3*28/(-21) + 84) a multiple of 35? True Suppose -931 = -2*r + 2*o + 2087, 1509 = r + 4*o. Is r a multiple of 3? True Let q(o) = 2*o + 23. L
{ "pile_set_name": "DM Mathematics" }
5*m = 10, -5*a + 10 = 5*m. Solve 0 = -2*z - 2*v + 4, -5*z + a*z - v - 2 = 0 for z. -1 Let c = 3 + -10. Let l = c + 9. Solve 0 = -l*p, -3*p + 2 + 3 = u for u. 5 Let l be ((-3)/(-4))/((-3)/(-24)). Suppose -l*j + 15 = -j. Solve 3*t = -o - j + 1, -4*o = -16 for t. -2 Suppose -q = 3*q - 3*f - 10, 4*q = -5*f + 26. Suppose -2*z + 6 + 4 = 0. Solve z*h + 45 = q*g, -3*h - 17 = -3*g + 13 for h. -5 Let k be (1 - (-1 - -3)) + 1. Solve z - 7 = 2*b, -z + 9 = -k*b - 3*b for z. 3 Let d(i) be the third derivative of 0*i - 1/24*i**4 + 0 + 3*i**2 + 1/2*i**3. Let f be d(-3). Solve 0 = -3*k + u - f*u + 19, 4*k - u - 10 = 0 for k. 3 Suppose 0 = -4*u + u + 3*f - 9, 3*f - 17 = -u. Suppose -w + 3 = -u. Solve -n = -0*x + 4*x + 20, 2*x + 10 = w*n for x. -5 Let r be (-56)/(-6) - (-11)/(-33). Solve 0 = 2*g + 4*k - 12, g + 3*g - 3*k + r = 0 for g. 0 Let w = -34 - -39. Suppose -3*k = -11 - 1. Solve k*v = 3*g - 0*v + 2, w*g - 6 = 2*v for g. 2 Let j(g) = -g**3 + g**2. Let v be j(0). Let z = v + 5. Solve 2*p = z*l - 0*p - 3, 0 = -5*p - 20 for l. -1 Let a(n) = n**2 + 8*n - 12. Let d be a(-9). Let u be -3 - (d + 2)*7. Solve 4*j = -0*j - f + 3, -u*j + 5*f = -9 for j. 1 Let m = -13 + 21. Suppose -2*o + m = -o. Solve o = 4*u - c, -2*c = 2*c - 16 for u. 3 Suppose -15 = -9*o + 21. Solve -1 - 3 = o*n + 3*t, t + 1 = -n for n. -1 Let u be 5/((-5)/(-6)) + 8 + -4. Solve -3*h = -2*d + 23, 5*d = -2*h - 0*h + u for d. 4 Suppose -2*n + 3 = -n. Suppose n*m + 3*h + 0*h - 12 = 0, -3*m - h = -14. Solve q = -0*q - 4*a - 5, -5*q = -m*a for q. -1 Suppose -3*a - 2*a + 20 = 0. Let b(k) = 2*k**2 - 5*k - 2. Let l be b(4). Let j be (-6)/15 + 24/l. Solve 0 = a*o - j*i + 24, -3*i - 2*i = -10 for o. -5 Suppose 0 = 3*j + 5*m - 16, -2*m + 12 = j + 3*j. Solve j*n + 5*w + 35 = 7*n, -2*w = 6 for n. 4 Let y(b) = 2*b**2 - 5*b + 2. Let a be y(5). Let z be 36/a*(-6)/(-4). Solve 3*u + 7 = -4*x + 22, 3*x = z*u + 7 for x. 3 Let c(s) = -s - 2. Let g be c(-8). Let k = g - 1. Suppose 7 = r + 3. Solve 5*p - k = -0*x - x, r*x - 4 = -4*p for x. 0 Let x be (2 + 1 - -3) + -2. Let r be ((-2)/6)/(3/(-27)). Solve -g + d = 4, -r*d - d = x*g - 24 for g. 1 Suppose -f = -5*z - 16 + 90, 5*z + 5*f - 50 = 0. Solve 0 = -2*v - 3*v - 3*b, -3*v = -b - z for v. 3 Suppose 4*u + 4*z + 4 = 0, 3*u + 5*z + 17 = 2*u. Let k be 4/(u + (-15)/9). Solve k = -b, 3*o + 6 = o - 2*b for o. 0 Suppose 4*v = -c + 10, -5*c - v - 1 = 2*v. Let j(d) = d**2 - 4. Let b be j(c). Solve 0 = 5*l - 5*z - 5, 5*l - 2*l - z - 9 = b for l. 4 Let o = 49 + -45. Solve -3*j - 4*q = 8, -o*j + q = 3*q + 4 for j. 0 Let d be -1 + -2*4/(-16)*6. Solve -3*m - 3*k - 25 = d*m, -m + 4*k = 5 for m. -5 Let w = 20 + -12. Let r(q) = q**2 - 3*q - 1. Let v be r(4). Suppose -v*a + 35 = 5*g - w*a, 0 = -a - 5. Solve -g*i - 2*i - 5*z = 40, i - 3 = 2*z for i. -5 Suppose t - 2 = -d, -4*t + t - 8 = -4*d. Solve 4 = -4*h + 5*v, 5*h + d*v + 5 = -3*v for h. -1 Suppose 1 = -w + 3. Suppose -3*l = -2*r + 8 + w, 2 = -l. Solve -j - 30 = 5*d, r*d - d + 3*j + 20 = 0 for d. -5 Suppose 0 = 3*n - 4*k - 13, 0*n = -5*n - 5*k + 10. Let v(t) = 2*t**2 + 3*t - 6. Let p be v(-5). Let b = -17 + p. Solve n = -2*q + g, -3*q - 2*g - b = 2*q for q. -2 Let x be 99/21 + 2/7. Suppose 3*t - 72 = x*o, 4*o + 97 = 5*t - 10. Suppose 0 = 4*v - t - 29. Solve 0 = -2*h - n + 5, 3*h - 5*n - v = 2 for h. 3 Let a = -14 - -16. Suppose p = 2*p - 4, -a*p - 20 = -2*c. Solve o - 3*w - c = -4, -3*w - 18 = -3*o for o. 4 Suppose -5*y + 4*y + 2 = 0. Solve -y*g + 4*s - 2*s + 6 = 0, 5*g = -2*s - 20 for g. -2 Suppose -3*z - 27 = 4*g, 11 = -z - 4*g + 2*g. Let r be 2/z + (-204)/(-10). Let d = -61 - -86. Solve r = -p - 3*b, -4*b - d = -3*p + 4*p for p. -5 Let h = 11 + -9. Let c = 2 + h. Solve v - 4 = m - 6, 3*v = 5*m - c for m. -1 Let o(h) be the third derivative of -h**5/60 - 5*h**4/8 + 6*h**2. Let i be o(-15). Solve -3*x + 4*x - 1 = i, -5 = 2*n + 5*x for n. -5 Let h = 24 + -21. Solve 3*i + 1 = x, 0 = -h*i + 4*x + 10 + 4 for i. -2 Let k = 28 - 23. Solve 0 = -w - 5*h - 18, -k*w + 2*h - 5 - 4 = 0 for w. -3 Suppose 6 + 10 = 4*k. Suppose -6 + 29 = 3*b - l, -b + k = -4*l. Solve 3*s + 5*p - b = 8, 4*s - p = -17 for s. -3 Suppose d = -k + 1 - 0, 5*k - 15 = 5*d. Let v = d - -8. Solve 3*n - 3*b - 2 = v, -5*n - b + 9 = 0 for n. 2 Suppose 19 - 4 = 3*h. Suppose -h*j = 4*k - 0*j - 4, -4*k + 4*j + 40 = 0. Solve 0 = -3*c + 2*m + 14, -c - m + k = -2*m for c. 2 Suppose -3*o + 4*j = 10, -2*j + 0 = 4*o - 16. Solve 3*z = -2*n - 5, 2*z + 4*n + 16 = o for z. 1 Let i = 71 + -68. Solve 3*x + i*h + 18 = 0, 4*x + 16 = -0*x + 4*h for x. -5 Suppose 4*i + 2*d + 26 = -0*d, 0 = 2*i - 4*d + 28. Suppose -3*y - y - 44 = 0. Let n = i - y. Solve 5 = n*o - 5*g, o - g + 0 = 1 for o. 0 Suppose 0 = 2*f - 3*f. Let r(t) = -t**3 + 8*t**2 - 6*t - 8. Let a be r(7). Let u be a/(-4) + 1/(-4). Solve 5*l - 4*s - 11 - 2 = u, 3*l - 5*s - 13 = f for l. 1 Let g = -1 + -23. Let p = g + 29. Solve -p*q - 4*x + 8 = -3*q, 5*q - 2*x + 28 = 0 for q. -4 Let j = -33 + 78. Let x = j - 2. Suppose 0 = 5*b + 5*h - 37 - x, 0 = -4*h + 4. Solve b = 5*n - 5*a, -5*n - 2*a - 23 = -3 for n. -2 Suppose 0 = 3*f + 4*j + 17, -19 = -4*f - 3*j + 6*j. Solve 2*x - n - 9 = 2, f = -3*x - 2*n for x. 3 Let u(g) = 3*g**3 - g**2 - g + 1. Let d be u(1). Suppose 3*q = -w + 17, 3*q + q + 4*w - 20 = 0. Solve o = d*t - 5, -3*o = o + 5*t - q for o. -1 Suppose 0*w - 12 = -4*w. Solve 0 = -t + 2, -w*g + 5 - 22 = -4*t for g. -3 Let m be 4 + (4 - 2) + -4. Suppose 2*w - 18 = -6. Suppose -24*b - 14 = -31*b. Solve -b*p + 3*d + 4 = -11, m*d - w = -4*p for p. 3 Let w = 6 + -6. Suppose w = -5*y + 28 - 3. Solve 4 + y = 3*f - 2*m, 2*f + 13 = -5*m for f. 1 Suppose 8 = -o + 3*o. Let q(p) = -p**3 + 2*p + 1. Let g be q(-1). Suppose -2*u + 4 + 0 = g. Solve o*b = 4*m, -u*m - 14 = 7*b - 2*b for m. -2 Suppose -2*x - 5*u = -8*u - 5, -6 = -3*x + 5*u. Solve 3*z = -3*w, -x = 3*w + 4*z - 8*z for w. -1 Let j(b) = b**2 + 2*b + 5. Let n be j(0). Solve 11 = -4*c - 5*o, c - n*o = -8 - 1 for c. -4 Let u(w) = 6*w**3 - w**2. Let y be u(1). Let z be 12/16 - 17/(-4). Let i = z + 4. Solve -4*j + i*j - 15 = -y*o, -o + 11 = 3*j for o. -1 Let i = -21 + 48. Solve -4*z + 7 = -3*o, -2*o - 3*z + i - 9 = 0 for o. 3 Let y = 5 + -2. Let b be (0 + -2)/(2/5). Let f = b + 5. Solve 3*d + 4*u - 2*u - 5 = f, 1 = -2*d + y*u for d. 1 Let y(m) = m**2 - 2*m - 3. Let g be y(3). Suppose g*f - f = -5. Suppose -7*x = -2*x + c, -f*c = -x. Solve -d = -3*d + 4*i, x = -4*d - 5*i + 13 for d. 2 Suppose 10 = -2*j + 4*j. Suppose -3*v - 7 = -c, -j*c - 3*v = -2*c + 15. Let r = 1 - c. Solve m - k = r, -2*k - 7 = -0*m - 3*m for m. 1 Suppose 0 = -w - 4*w + 15. Suppose -4*k - 17 = -4*r - 5, -4*r - 2 = 3*k. Solve 3*c + 8 = -4*y, -r - 5 = -c + w*y for c. 0 Let g be 78/10 - (-2)/10. Suppose 2*p = -2*p + g, 2*p = 5*l - 6. Solve -2*x - 4 = -t - 0, 5*x + 12 = l*t for x. -4 Let z be (-10)/55 + (-202)/(-22). Suppose 0 = z*q - 12*q. Solve 0 = -4*d - 5*r - 20, q = 2*r - r for d. -5 Let d = 16 + -1. Suppose -5*n + g + d = -6, 3*g = -4*n + 32. Solve -5*h + 0 - n = -2*t, -t + 3 = -3*h for h. -1 Suppose s + 3*s + 3*n = -24, 0 = 3*n. Let m be 202/s + (-1)/3. Let q = -20 - m. Solve -3*x - 10 = -0*x - b, 5*x - b = -q for x. -2 Suppose 5*h - 1 = 29. Suppose 0 = -h*i + 3*i. Suppose -3*x + i*x = -6. Solve -x*c - 22 = 2*c - 2*s, c = s - 7 for c. -4 Suppose s - 5*a + 2*a = 12, 0 = -5*a - 15. Let q = 2 + 1. Let u = q + 1. Solve 4*k - 4 = -u*i + 4, 4*k + 13 = s*i for k. -1 Suppose 0 = -2*q + 89 - 23. Solve -4*g - q = -5*a - 1, 5*a - 35 = 5*g for g. -3 Let g = -124 + 128. Solve -n + 0*n + f = g, 7 = -n - 2*f for n. -5 Let a be 4/2*-2*(-3)/12. Solve -2*k = r + a, 0 = -2*k + 2*r + 1 + 7 for k. 1 Let m(i) = i**2 + 8*i + 6. Let c be m(-8). Let w = 2 + c. Solve -5*f = l - w, -2 = 2*f + l + 2*l for f. 2 Let b(n) = n**3 + 5*n**2 + 2*n - 6. Let g be b(-2). Solve 6 = -2*l, 1 = g*v + l - 6 for v. 5 Let b be -16 - (-5 - 6/(-3)). Let q = -10 - b. Solve 0*g - q*f = 5*g + 6, 0 = -g + 3*f + 6 for g. 0 Let g = 3 - 5. Let u be 5/g*(-36)/(-45). Let p be (-37)/u - 2/4. Solve -4*c + 2*c + p = 5*x, 2 = -c + 3*x for c. 4 Suppose 11*r + 3 - 36 = 0. Solve -2*x + r*x + 10 = 2*a, -a = 5*x - 5 for a. 5 Let o(d) be the first derivative of d**4/4 - 10*d**3/3 + 11*d**2/2 - 3*d - 4. Let t be o(9). Solve -2*q - 2*y = 18, -2*y = -5*q - y - t for q. -4 Let o(v) = -v**2 - 3
{ "pile_set_name": "DM Mathematics" }
ch is the second smallest value? (a) w (b) -0.1 (c) d c Let u be 1060/165 + (-20)/220. Which is the third smallest value? (a) u (b) 1/18 (c) -0.5 a Let m be (-18)/(-45) + (-20)/(-75). Which is the fourth smallest value? (a) -5 (b) 0 (c) -4 (d) m d Let l = 7321 + -7299. Which is the fourth smallest value? (a) l (b) -0.2 (c) -2/3 (d) 2 (e) 3 e Let t = 326253/56 + -5826. What is the fourth biggest value in 5, -0.4, t, -1/4? -0.4 Let a = -3233 + 3232.9. What is the fifth biggest value in -0.6, a, -12, -2/11, -5? -12 Let a(b) = -81*b - 2190. Let h be a(-27). What is the biggest value in -110, 0.1, h? 0.1 Let m be 7 + 3 + (-742)/70. Which is the third smallest value? (a) 807 (b) -0.03 (c) m (d) 3/5 d Let c = -13 - -8. Let r = -26.467 - -26.467. What is the fourth biggest value in -3, c, -2/27, r? c Let a = -0.2 - 0. Suppose 86 = 48*q - 5*q. Let l be (12/16)/(1/((-8)/10)). What is the third biggest value in 1.5, a, l, q? a Let g = 0.799 - -6.201. Let d = 298542901/717198240 + -3/1166176. Let b = d + -2/123. What is the third biggest value in b, 3, g? b Let q(o) = -4*o - 32. Let z be q(-4). Let m be (-12)/z + 2/8. Which is the biggest value? (a) m (b) 0.01 (c) -4 (d) 10 d Let s be 84/108*18/84. Which is the biggest value? (a) 37 (b) -22 (c) -2 (d) 2/3 (e) s a Let q be (-100)/288 + 1/8. Let j = 86.4 - 88. What is the second biggest value in q, j, -0.3, -1? -0.3 Suppose -4*a = 3*j - 29, -13 = 3*j + j - 5*a. Suppose 20 = -5*y + 2*h - 7*h, 0 = j*y + 2*h + 13. What is the smallest value in -1, y, -19, -3? -19 Let q = 24 - 14. Suppose -8*z + q = -3*z. Suppose -5*v = -2*f - 18, -2*v - 3*f = z*v + 4. Which is the second biggest value? (a) 0 (b) -3 (c) v (d) 3 c Suppose -4*l - 21 = -4*v + 7*v, 28 = -4*v - 4*l. Let z be 8*((-27)/4 - v). What is the fourth biggest value in z, -2/7, -18, -0.2? -18 Let t = 1.96 - -3.04. Let k = 0.0616 + 0.4384. What is the third biggest value in 0.07, k, t? 0.07 Let i = -5348 + 5348.5. What is the biggest value in -1/4, 2, 2/5, 3, i? 3 Let f = -2143 - -2147. Which is the third biggest value? (a) f (b) -1/5 (c) 3/10 b Let o = -847.38 - -845. Let w = o - 0.62. What is the biggest value in 1/5, w, -2/93? 1/5 Let t = -351 - -351.322. Let u = t + -0.322. Which is the biggest value? (a) -7 (b) u (c) -1 (d) 2/11 d Let p = -949/7 - -136. Let v = -3.77 - -6.83. Let i = -3 + v. What is the smallest value in -0.4, p, i? -0.4 Let s = 89 - 86.1. Let i = -19.1 - s. Let d = -14 - i. What is the biggest value in -4/7, -5, d? d Let w = 1.3154 + 3.6846. Which is the second biggest value? (a) 2/13 (b) w (c) 0.3 (d) -0.02 (e) -0.33 c Let p = 528.5 + 148.5. Let s = -681 + p. What is the second smallest value in s, -0.1, 0? -0.1 Let h = 8.07938 - 0.07938. Which is the third biggest value? (a) h (b) 0 (c) -4 (d) 0.4 b Let x = -111 + 223/2. Let z = -683/18 + 75/2. What is the third biggest value in 0.4, x, 8, z? 0.4 Let z(n) = -60*n - 156. Let g be z(-6). Suppose -g = -2*u - 208. What is the second biggest value in u, 9, 1? 1 Let y = 10/7 + 5/21. Suppose -2*m + 145 + 117 = 0. Let f = -135 + m. What is the second smallest value in 3, y, f, 0.1? 0.1 Let c = 199 - 203. Suppose -m = -5*b - 2*m - 5, -18 = 4*b - 2*m. Let g = -0.13401 + 0.00401. What is the third smallest value in g, c, b? g Let i = -1474/9 - -164. Let g be (-224)/40 + 3 + 2. Which is the third biggest value? (a) i (b) g (c) -4 c Let k = 2702.2 + -2702. What is the third biggest value in -2, -0.07, -1.1, k? -1.1 Let q = -3 - -2.9. Let v = 470 - 468.01. Let u = v + 3.01. Which is the biggest value? (a) q (b) u (c) -0.3 b Let z(l) = 7*l**3 + 177*l**2 + 51*l + 27. Let g be z(-25). Which is the biggest value? (a) -2/5 (b) 35 (c) g b Let w be 1/((-2)/(-3) + -1). Suppose 6 + 27 = -3*v. Let j be (12/(-10))/(v + (-404)/(-40)). Which is the fourth biggest value? (a) 3/8 (b) 3 (c) w (d) j c Let f(r) = 27*r**2 - 135*r - 3. Let i be f(5). Which is the smallest value? (a) -1 (b) i (c) 1 (d) -1/25 b Suppose -3*p + 4*b - 32 = 0, 3*b + 948 = 972. What is the fourth biggest value in 0.159, -4, p, -0.1? -4 Let f = -0.6321 - -0.675. Let r = f + -5.0429. Which is the second biggest value? (a) -0.02 (b) 1/5 (c) r a Let g(z) = -z**3 + 8*z**2 + 12*z + 8. Let k be g(8). Let c = 112 - k. Let i = 0.125 + 0.075. What is the third smallest value in i, c, 1/2? c Let a = 0.68 + 6.32. Let y = -0.41 + -0.2. Let f = -0.21 - y. What is the second biggest value in a, f, -4, 4? 4 Suppose -3*a - 19 = -8*a + 3*h, -3*h - 17 = -4*a. Let v be (a/10)/((-20)/(-300)). What is the third biggest value in v, -86, 0.1? -86 Let s = 0.0438 + 0.0162. Let f = 4 + -1.5. Let y = -2.8 + f. Which is the fourth biggest value? (a) y (b) -4 (c) s (d) -0.1 b Let g = -4473/719 + -642007/166089. Let w = 112/11 + g. What is the second biggest value in w, 2, 0.4, 4/25? 0.4 Let y = -8245.94 - -8246. What is the third smallest value in -4, y, 15/4, 0.6? 0.6 Let a = 307/559 - 17/43. What is the biggest value in a, -1/11, -63? a Suppose -4 = -y + j - 6, 5*y + 2*j = -10. Let k = -0.06 - 0.12. Let x = -4.18 - k. Which is the fourth biggest value? (a) x (b) y (c) -6 (d) 0.5 c Let y = 842.2 - 841.8. Let k be 8/5 - 2 - 0. Which is the fourth biggest value? (a) y (b) -43 (c) -3 (d) k b Let k = -9064 - -9061. Which is the second biggest value? (a) -2 (b) k (c) 262 (d) 0 d Let f = 0.198 - -0.102. Let k = 232.14 + -236. Let g = 3.8 + k. Which is the fourth smallest value? (a) f (b) 2/7 (c) -0.4 (d) g a Let k = -33 + 33.1. Let o = -82/95 - -24/19. Let q = 0.08981 + -0.08981. What is the fourth smallest value in 2, k, o, q? 2 Let q(f) = -f**3 + 2*f**2 + 6*f + 3. Let j be q(5). Suppose -6*l = -12*l - 252. Let t = l - j. What is the second smallest value in t, -0.1, -0.3? -0.1 Suppose 0*p - 3 = -p. Suppose -2 = n, -3*n - 38 - 13 = 3*q. Let d be (52/(-65))/((-18)/q). What is the second smallest value in p, -1/2, 0.3, d? -1/2 Let n be 104/(-208)*(-1)/(-2). Let v = -2.2 + 2.4. What is the biggest value in v, n, 6/5, -30? 6/5 Let x be 168/224*96/126. Let u = 0.1 + -0.5. Which is the second biggest value? (a) x (b) u (c) 14/3 a Suppose -2*k = 261*l - 139*l + 35626, 0 = -3*k - 3. Let s = -0.1 - -0.1. Which is the third smallest value? (a) l (b) s (c) -0.4 b Let t = -4313 + 21564/5. What is the fourth biggest value in 2/3, 17, t, -0.4? -0.4 Let k be (-6)/(-21) - 48/(-28). Let j = 29774/7 + -4253. Which is the fourth smallest value? (a) j (b) k (c) 0.1 (d) 3 d Let h = 32 - 211.5. Let u = h + 180. Which is the fourth biggest value? (a) 7 (b) u (c) -2/9 (d) -1 d Let n be (-7122)/24 - (2/8 - -1). Let s = n + 293. Let j = -8 - -7.7. What is the third biggest value in 1, s, j? s Let k(s) = -2*s - 24. Let t be k(-11). Let h = 289.4 - 249.4. Which is the third biggest value? (a) t (b) h (c) 1/2 a Let j be 0 + 49/(-7) + (-744)/(-114) + -1. Which is the third smallest value? (a) j (b) 2/7 (c) 4 (d) -1 b Let g = 43 + 42. Let r = g - 81. What is the second smallest value in -0.2, 5, 1, r? 1 Let v = -23613.96 + 23614. Let x = -2 + 0. Let w(u) = -u**2 - 5*u + 2. Let a be w(-6). What is the third smallest value in v, x, a? v Let h = -0.3749 - 0.0251. Which is the second smallest value? (a) -2.3 (b) 27 (c) h c Let m = -5 + 5.3. Let t = -4.66 + 4.24. Let q = t + 4.42. What is the fourth smallest value in -5, -14, m, q? q Let l(i) = i**2 + 3*i - 4. Let m be l(-3). Let t = 7631 - 7627. What is the biggest value in m, -4/3, t? t Let h = -1 + 0.1. Let q = -0.8 - h. Let p = -1225 - -1230. Which is the biggest value? (a) p (b) q (c) -1 a Let g = 39561.5 - 39561. Let h = -7.36 - -8. Which is the third smallest value? (a) g (b) h (c) -0.3 (d) 1/4 a Let k = 1501/7 + -214. Let p = -16.22403 + 7.22403. Which is the third smallest value? (a) k (b) p (c) 0.3 a Suppose 0 = -186*g + 214*g + 28. Which is the biggest value? (a) -2/15 (b) 5/2 (c) g b Suppose -3*l - 2*u + 116 = -42, 100 = 2*l + 4*u. Let g = l - 1136/21. Let z = -0.34 - -0.14. Which is the biggest value? (a) g (b) 6 (c) z b Let n = 62.2 + -62.3. Let g = 22/75 + 1/25. Which is the smallest value? (a) n (b) 2/9 (c) 2/7 (d) g a Let d = 62 + 36. What is the third biggest value in -5, d, -1.4? -5 Let w = 73.16 - 68.16. W
{ "pile_set_name": "DM Mathematics" }
24 + 10 - 225*w + 6 + 8. -225*w Collect the terms in 0 + 4299*t**3 + 0 + 7037*t - 7036*t. 4299*t**3 + t Collect the terms in -1393*b**2 - 1392*b**2 + 11*b + 2780*b**2. -5*b**2 + 11*b Collect the terms in 3*u**2 - 3*u**2 - 8397760 + 5*u**3 + 8397760. 5*u**3 Collect the terms in 105*v**2 - 84*v**2 + 110*v**3 - 22*v**2. 110*v**3 - v**2 Collect the terms in 7*d**2 - 2*d**2 - 3*d**2 - 35 + 28 - 51. 2*d**2 - 58 Collect the terms in -7 + 310*g + 146*g - g**2 - 3 + 53*g. -g**2 + 509*g - 10 Collect the terms in 40*v**2 - 3*v**2 - 13*v**2 - 20*v**2 - 12*v**2. -8*v**2 Collect the terms in -1 + 72*r**2 - 32*r**2 - 43*r**2 - 339*r. -3*r**2 - 339*r - 1 Collect the terms in -17*l + 19 + 46 + 20*l. 3*l + 65 Collect the terms in 2*r**2 - 3 - 2728*r + 3 + 2708*r. 2*r**2 - 20*r Collect the terms in 39*l - 23*l - 3*l**2 - 16*l + l**2. -2*l**2 Collect the terms in 10*k**2 - 150587*k + 75293*k + 75294*k. 10*k**2 Collect the terms in -3*w - 4719 + w - 2*w + 4717. -4*w - 2 Collect the terms in 938*t - 307*t - 318*t - 313*t - 6*t**3. -6*t**3 Collect the terms in -111*k**2 + 109*k**2 - k**2. -3*k**2 Collect the terms in 1249 + 1249 + 1232 - 3730 - 2*j**2. -2*j**2 Collect the terms in 3*b + 4*b**2 - 15*b - 8*b**2 + 2*b**2 - 43*b. -2*b**2 - 55*b Collect the terms in 54*o**2 + 184*o**2 - 240*o**2. -2*o**2 Collect the terms in 1054*g + 12352 - 12352. 1054*g Collect the terms in -92729*c + 92729*c - 221*c**2. -221*c**2 Collect the terms in -3*j - 50148*j**2 - 64661*j**2 - 4*j. -114809*j**2 - 7*j Collect the terms in 211*s**2 + 1110*s**3 - 550*s**3 - 552*s**3 - 2*s. 8*s**3 + 211*s**2 - 2*s Collect the terms in 6801*i - 20372*i + 6802*i + 6763*i. -6*i Collect the terms in 23 + 0*x - 44 + 27 - 4*x. -4*x + 6 Collect the terms in -26*l**3 - 27*l**3 + 75*l**3 - 28*l**3. -6*l**3 Collect the terms in 206*i**2 - 204*i**2 - 22*i + 72*i. 2*i**2 + 50*i Collect the terms in 16*d - 23*d + 15*d + 2*d + 7*d. 17*d Collect the terms in -28600*v + 14396*v + 14369*v. 165*v Collect the terms in 414 + 409 - 823 - 40*j**2. -40*j**2 Collect the terms in 6*j**2 - 117*j + 10*j**2 + 6*j**2 - 22*j**2 - 2*j**3. -2*j**3 - 117*j Collect the terms in 14962 - 29913 + 14951 + a**2. a**2 Collect the terms in -230*v**3 + 73*v**3 + 5*v**3 - 37*v**3. -189*v**3 Collect the terms in -860*k**3 - 2477*k**3 - 98*k**3. -3435*k**3 Collect the terms in 264*c**3 + 2*c**2 - 641*c**3 + 370*c**3. -7*c**3 + 2*c**2 Collect the terms in 218239*u - 218239*u + 10*u**3. 10*u**3 Collect the terms in 46393 - 46393 - 23*n**3. -23*n**3 Collect the terms in -69 - 65 - 64 - 81 + l + 314. l + 35 Collect the terms in -82299*o**2 - 2360*o**2 - 56826*o**2 + 531*o**2. -140954*o**2 Collect the terms in -65095 + 32543 + 0*a**2 + 32552 + 3*a**2. 3*a**2 Collect the terms in -1 - 68*t**2 + 2401*t**2 + 915*t**2. 3248*t**2 - 1 Collect the terms in -26 - 22 + 4223*z - 4220*z. 3*z - 48 Collect the terms in 1463*d**2 + 3*d - 5*d + 2*d. 1463*d**2 Collect the terms in 251049*y**2 + 251048*y**2 - 502093*y**2. 4*y**2 Collect the terms in 12134 - 143*n - 12134. -143*n Collect the terms in -10 + 493*r - 6 + 22 - 7. 493*r - 1 Collect the terms in 977 - 3*a + 966 + 968 - 2911. -3*a Collect the terms in 2741 - 5710 + 2969 + 13*v. 13*v Collect the terms in 18*g**3 - 125*g**2 - 131*g**2 - 21*g**3 + 256*g**2. -3*g**3 Collect the terms in 3344 + 110*w - 3344. 110*w Collect the terms in -s - 37*s**2 - 66*s**2 - 6*s**2. -109*s**2 - s Collect the terms in 39*a - a + 2*a + 27*a. 67*a Collect the terms in -15765*h**3 - 30483*h**3 - 11615*h**3. -57863*h**3 Collect the terms in -1092*n + 549*n + 549*n. 6*n Collect the terms in -5 - 158*y**2 - 142*y**2 + 19*y**3 + 300*y**2 - 15*y**3. 4*y**3 - 5 Collect the terms in 162772*t + 15*t**2 - 162772*t. 15*t**2 Collect the terms in -4*j - 64 + 14 + j - 57. -3*j - 107 Collect the terms in -1055*c**2 - 1113*c**2 + 165*c**2 + 251*c**2. -1752*c**2 Collect the terms in -4025*s**2 + 125 - 246 + 1216*s**2 + 121. -2809*s**2 Collect the terms in 590*g**3 + 2 + 126*g**2 - 126*g**2. 590*g**3 + 2 Collect the terms in -25 + 11025*v + 25 - 5513*v - 5514*v. -2*v Collect the terms in -z + 11 - 19 + 11 + z + 26*z**3. 26*z**3 + 3 Collect the terms in -649*l**2 + 1 + 751*l**2 - 1. 102*l**2 Collect the terms in 187 + 183 - 514 + 144 + 0*a**2 + 6*a**2. 6*a**2 Collect the terms in 213*g - 274*g**2 + 15*g**3 + 274*g**2. 15*g**3 + 213*g Collect the terms in 5 + 2 - 105*h**2 - 16 + 8 + 4*h + 3. -105*h**2 + 4*h + 2 Collect the terms in -22*l - 1 - 56*l + l. -77*l - 1 Collect the terms in 567*u**2 + 168*u**2 - 733*u**2. 2*u**2 Collect the terms in 159*x**3 - 304*x + 160*x**3 + 304*x - 325*x**3. -6*x**3 Collect the terms in -1396135*h**2 + 1396135*h**2 + 3*h**3. 3*h**3 Collect the terms in -14999*w**3 + 14888*w**3 + 9*w**2 - 9*w**2. -111*w**3 Collect the terms in 14*i**2 + 8*i**2 + 14*i**2 - 42*i**2 - 128*i + 12*i**2. 6*i**2 - 128*i Collect the terms in 2465*l - 1235*l + 26 - 1231*l. -l + 26 Collect the terms in 98*b**3 - 23*b**3 - 28*b**3 - 8*b**2 - 26*b**3 - 20*b**3. b**3 - 8*b**2 Collect the terms in 222607 + 2*q**2 - 222606 - 4*q**2. -2*q**2 + 1 Collect the terms in 36*b**3 - 30*b**2 + 26*b**2 - 21*b**3. 15*b**3 - 4*b**2 Collect the terms in -25*a - 10*a**2 - 13*a**2 + 0*a + 21*a**2. -2*a**2 - 25*a Collect the terms in -531*v**2 + 117*v**2 + 249*v**2. -165*v**2 Collect the terms in 11 - c**2 + 16*c**2 + 11*c**2 + 21*c**2. 47*c**2 + 11 Collect the terms in -46*g - 41*g - 43*g + 280*g - 46*g - 102*g. 2*g Collect the terms in -34*n**2 - 3*n**3 - 21*n - 61*n**2 + 95*n**2 + 21*n. -3*n**3 Collect the terms in -687*u - 39228 + 39228. -687*u Collect the terms in 119*j - 2*j**2 + 3*j**2 - 232*j + 113*j. j**2 Collect the terms in 91*v**2 - 22*v**2 - 21*v**2 - 21*v**2 - 26*v**2. v**2 Collect the terms in 15*f - 129*f**2 + 34*f - 49*f + f**3. f**3 - 129*f**2 Collect the terms in -19*s - 6*s + 2*s + 17 + 2*s. -21*s + 17 Collect the terms in 572353*g**3 - 572345*g**3 - g**2 + g**2. 8*g**3 Collect the terms in 307261059 - 307261059 - 12*t. -12*t Collect the terms in 73*f**2 - 15*f**2 + 498*f**2 - 228*f**2. 328*f**2 Collect the terms in 45*a**2 - 4541 + 4541. 45*a**2 Collect the terms in -5*k - k + 3*k + 7*k. 4*k Collect the terms in 144*k - 71*k + 43*k**2 + 2 - 73*k. 43*k**2 + 2 Collect the terms in 105*s + 55*s + 19*s - 6*s. 173*s Collect the terms in -1140*s**3 - 20379*s**2 + 20379*s**2 - 2 + 2. -1140*s**3 Collect the terms in -333*c**2 + 77*c**2 + 69*c**2 + 61*c**2 + 65*c**2 + 63*c**2. 2*c**2 Collect the terms in -8*q**2 - 2012*q**3 + 2152*q**3 + 10*q**2. 140*q**3 + 2*q**2 Collect the terms in -4*l**2 - 179*l - 50*l + 30*l. -4*l**2 - 199*l Collect the terms in -1096*w**2 + 2026*w**2 + w - 1094*w**2. -164*w**2 + w Collect the terms in 115*i**2 - 28*i**2 - 27*i**2 - 31*i**2 - 28*i**2. i**2 Collect the terms in -95*r**3 - 794*r**2 + 794*r**2. -95*r**3 Collect the terms in -21*l**2 - 16*l**2 - 13*l**2 - 19*l**2 + 79*l**2 - 11*l**2. -l**2 Collect the terms in -793 + 2*j**3 + 330 + 463. 2*j**3 Collect the terms in 12*x**2 + 1788520 - 894263 - 894257. 12*x**2 Collect the terms in -574 + 150 - 121 - 146 - 7*q. -7*q - 691 Collect the terms in 2627*o**2 - 3854*o**2 - 675*o**2 - 2564*o**2 - 2605*o**2. -7071*o**2 Collect the terms in -19937*c**3 + 9313*c**3 + 10622*c**3. -2*c**3 Collect the terms in 42*h**2 - 13941*h + 13941*h - 58*h**2. -16*h**2 Collect the terms in -888 + 13242 - 4*q + 5*q. q + 12354 Collect the terms in -4 - 7 + 11 - 13377*o. -13377*o Collect the terms in 721 - 721 - 6*b - 121*b**2. -121*b**2 - 6*b Collect the terms in 1 + 10 - 387*y**3 + 354*y**3 - 3. -33*y**3 + 8 Collect the terms in -20*z - 6*z - 5*z + 30*z. -z Collect the terms in 3*i**3 - 495364734*i**2 + 495364734*i**2. 3*i**3 Collect the terms in -31*s - 10*s - s - 3*s - 13*s. -58*s Collect the terms in 47*g - 60*g + 0*g + 7*g. -6*g Collect the terms in -1747 + 1747 + 437*d**2 + 199*d - 199*d. 437*d**2 Collect the terms in 690*r**3 + 696*r**3 - 2075*r**3 + 692*r**3. 3*r**3 Collect the terms in 12*b**3 + 875*b - 875*b + 4*b**3. 16*b**3 Collect the terms in -412*l**2 - 416*l**2 + 827*l**2. -l**2 Collect the terms in 20*u + 3*u - 6*u + 3691 - 3691. 17*u Collect the terms in -5508*r + 2749*r + 2771*r. 12*r Collect the terms in 317*x - 3575*x - 1506*x - 2076*x + 43*x**2. 43*x**2 - 6840*x Collect th
{ "pile_set_name": "DM Mathematics" }