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e 2*s = 4*i + 48, -3*s - 3*i + 7*i + 80 = o. What is the remainder when s is divided by 12? 8 Let v be 10 - ((-6)/(-1) + -30 + 29). What is the remainder when (-273)/(-14)*(v - 0 - 3) is divided by 19? 1 Let n(k) = -9*k - 21. Let j be n(-3). Suppose j*t + 1707 - 6003 = 0. Calculate the remainder when t is divided by 16. 12 Suppose -62 = -7*x + 36. Suppose 0 = 2*o + x*o - 256. What is the remainder when 61 is divided by o? 13 Let f = -99 - -168. Let r = f + -64. What is the remainder when 53 is divided by r? 3 Let u be 0*5/15*(-2)/(-2). Suppose u*z + 6*z - 696 = 0. Let a = 123 - 84. What is the remainder when z is divided by a? 38 Suppose -120 = -8*t + 6*t + 2*k, 2*t = -4*k + 144. Suppose -221 = -2*a + 185. What is the remainder when a is divided by t? 11 Let b = 99 + -79. Let t(r) = -2*r**2 + 38*r + 44. What is the remainder when 286 is divided by t(b)? 2 Suppose 3*d = -i + 53, -d = 3*i + d - 187. Let z = -124 + 150. What is the remainder when i is divided by z? 13 Suppose 20*d = 8*d + 48. Suppose 20 = d*b, 5*q + 4*b - b = 225. What is the remainder when q is divided by 13? 3 Suppose 0 = k - 5*f - 989, -21*k + 995 = -20*k - 4*f. What is the remainder when k is divided by 40? 19 Let f be 0*1/(-5)*1. Suppose f = -0*k - 5*k. Suppose 5*x + 12 - 137 = k. What is the remainder when 123 is divided by x? 23 Suppose -19 + 865 = 18*l. Let i(v) = 2*v**2 - 10*v + 36. What is the remainder when l is divided by i(2)? 23 Let c(q) = 12*q**2 - 4*q + 4. Let f = -83 + 41. Calculate the remainder when c(2) is divided by (1 + 22)*6/f*-7. 21 What is the remainder when 10850 is divided by (-274 + -2)/(-2) - (-724)/(-181)? 130 Suppose 304 = 107*u - 88*u. Calculate the remainder when 298/6 + 3/9 is divided by u. 2 Suppose -3*o + 4*a = 8, -3*o + o - a = -2. Suppose -f - 3*j = -7, o = -f - 3*j - 2*j + 7. What is the remainder when 215 is divided by f? 5 Suppose 0 = -4*h + 3*h + 7. Suppose -u + 7 - 18 = -3*l, -3*l + 5*u + 31 = 0. Calculate the remainder when (l + 18)*7/14 is divided by h. 3 Suppose 0 = -a + 4*a. Let i(m) = 7*m - 32. Let p be i(5). Suppose a = p*w + w - 152. Calculate the remainder when w is divided by 13. 12 Suppose -a = 10*d - 11*d - 13, 4*d = 2*a - 36. Suppose -l + 2*k = -46, 113 = 10*l - 7*l - k. Calculate the remainder when l is divided by a. 4 Suppose -37*w + 1022 = -125. Let p(r) = r**3 - 6*r**2 + 4*r - 5. Let m be p(5). Let l = m + 15. Calculate the remainder when w is divided by l. 1 Let d(l) = 3*l + 188. Calculate the remainder when d(95) is divided by 80. 73 Let w be 15/(-12) + (-5)/(-20). What is the remainder when (-3)/(-2)*6/(-36)*-148 is divided by 2*w*26/(-4)? 11 Suppose -2*b = 2*o - 7546, -9*o = -17*o + 4*b + 30136. Calculate the remainder when o is divided by 1250. 19 Suppose -2*c + 5 = -29. Let g be (16/(-64))/((-2)/8). Calculate the remainder when c is divided by 14/(-28)*g*3*-4. 5 Let g(b) = -3*b**2 + 141*b - 807. Calculate the remainder when g(39) is divided by 86. 43 Suppose -4*w = -12, -2*i + 238 = 2*w + 8. Suppose -n + 5*n - i = 4*q, -4*n + 104 = -2*q. What is the remainder when n is divided by ((-33)/33)/((-2)/6)? 0 Suppose 61 = 5*b + 3*f - 62, -105 = -3*b + 6*f. What is the remainder when (-2)/10 - 1164/(-20) is divided by b? 4 Let l(j) = -j**3 + 22*j**2 - 2*j + 51. Let d be l(22). Suppose -4*z + 40 = d*h - 3*h, 2*z - 2*h = 8. Calculate the remainder when 31 is divided by z. 3 Let o(z) = z**3 + 28*z**2 - 27*z + 28. Let g be o(-29). Calculate the remainder when (-2 + g/(-9))/((-12)/(-1098)) is divided by 25. 22 Suppose -5*i + 6 = -39. What is the remainder when (131292/441)/(8/14) is divided by i? 8 Let r be 16/12*3 - -19. Suppose -8*x + 41 + r = 0. Suppose k + 0 = x. Calculate the remainder when 14 is divided by k. 6 Let z = 13 - 1. Suppose z*b = 8*b + 20. Suppose -b*x + 3*m + 9 = -154, 4*x - 4*m - 124 = 0. Calculate the remainder when 67 is divided by x. 32 Let a = 203 + -210. What is the remainder when 220 is divided by (-24)/(-1) + a - (-4)/(-2)? 10 Let w(l) = 2*l**2 + 4*l + 4*l**2 + l**3 + 4 + 2. Suppose 0 = -2*i + 5*c - 23, 0 = 6*i + 10*c - 6*c + 12. What is the remainder when w(i) is divided by 7? 1 Let t(n) = -64*n - 2. Calculate the remainder when t(-3) is divided by -17 - (-2)/((-44)/(-1078)). 30 Suppose 2*q = -3*c + 4*q - 40, 4*q = 3*c + 44. Let y(h) = 4*h + h**3 - 11*h**2 - 5 + 3*h + 2*h - 2*h**3. Calculate the remainder when y(c) is divided by 12. 7 Suppose 4*x + 3*u + 2*u = 17, x + 2 = 5*u. Let l(m) = m**2 + 62. What is the remainder when l(0) is divided by ((-9)/x)/(1 - (-56)/(-49))? 20 Let h be (-1361)/10 + -1 + 16/160. Let g = h + 161. Suppose 282 + 63 = 5*z. What is the remainder when z is divided by g? 21 Let i(s) = s**2 - 21*s + 13. Let a be i(21). Suppose -a*p + 245 = -28. Suppose 0 = -4*o - 0*o + 44. Calculate the remainder when p is divided by o. 10 Suppose -2*v + 244 = -6*v. Suppose -5*f + 2*s = -605, -4*f + 10*s = 7*s - 491. Let l = f - v. Calculate the remainder when l is divided by 46. 42 Suppose 2*j - 5*j = 60. Calculate the remainder when (4 + (-19 - -14))*(-106)/2 is divided by 4/j + (-82)/(-10). 5 Let m(v) = 19*v**3 - v**2 + 18*v - 60. Let t be m(3). Let b = 525 - t. Calculate the remainder when 215 is divided by b. 26 Let a = 2197 - 907. Suppose 5*x + 2*z - a = 0, -1290 = -8*x + 3*x + 5*z. What is the remainder when x is divided by 52? 50 Suppose 5*c + 445 = 3499 + 1566. What is the remainder when c is divided by 141? 78 Let k = -17854 + 17875. What is the remainder when 2894 is divided by k? 17 Suppose 103*a - 773*a - 125*a + 628845 = 0. What is the remainder when a is divided by 130? 11 Let m(s) = s**3 - 2*s**2 + 2. Let t = -5688 + 5716. Calculate the remainder when t is divided by m(3). 6 Let y(u) = -13*u**2 - 6*u + 20*u**2 - 3*u**3 - 1 + 0. Let d(k) = -k**3 - k - 1. Let p(j) = -2*d(j) + y(j). Calculate the remainder when p(6) is divided by 8. 5 Let c be (2/5)/(4/20). Let b(q) = 2*q - 16 - 2*q**2 - 9*q**2 + 10*q**c + 9*q. What is the remainder when 25 is divided by b(6)? 11 Let j be (77/(-3) + -2)/((-1)/3). Suppose j = 2*m - b, 211 = 4*m - 4*b + 51. Suppose 3*a - m = -1. What is the remainder when a is divided by 2? 0 Let t = 119 - 119. Suppose 9*n + 47 - 254 = t. Suppose p + v = 10, -21 = -3*p - 2*v + 11. Calculate the remainder when n is divided by p. 11 Suppose -50*y - 49*y = -101*y + 8358. What is the remainder when y is divided by 20? 19 Let l(g) be the second derivative of g**5/20 + 5*g**4/6 + g**3 + 13*g**2/2 - 5*g - 1. What is the remainder when l(-7) is divided by 24? 22 Suppose -3*d = d - 5*l + 29, l = 2*d + 7. What is the remainder when 3/(3/23)*(2 + d) is divided by 20/3 - 1/(-3)? 2 Suppose 23423 = 16*l + 2*l - 4855. Calculate the remainder when l is divided by 131. 130 Suppose -391*x - 3539 - 14131 = -421*x. What is the remainder when x is divided by 117? 4 Let a = 130 + -130. Suppose a = -11*l + 28 + 49. What is the remainder when (-214)/(-8) + -3 + (-2)/(-8) is divided by l? 3 Let j = -10091 - -10767. Calculate the remainder when j is divided by 293. 90 Suppose 109 = a + 15. Let m = 3340 - 3316. Calculate the remainder when a/3*(-6)/(-2) is divided by m. 22 Let i(j) = -j**2 + j - 516 - j**3 + 533 - 2*j. Let l be (-1)/1*0/4. What is the remainder when 82 is divided by i(l)? 14 Let t = 9 - 3. Let p(g) = g**3 + 92*g**2 - 181*g + 711. Calculate the remainder when p(-94) is divided by t. 5 Let j(q) = 39*q**3 + 16*q**2 - 16*q. Calculate the remainder when 230 is divided by j(1). 35 Let m(a) = 4*a + 15. Let r be m(-3). Suppose -3*n + 633 = 4*g, 2*g - 422 = -2*n + r*g. What is the remainder when n is divided by 72? 67 Let m(i) = i**3 - 20*i + 34. Calculate the remainder when 15641 is divided by m(-5). 8 Suppose 5*p = -4*g - 24 + 7, -2*g - 2*p = 6. Suppose g*a - 141 = -3*u, -9 = 4*u - 21. Let l = a - -10. What is the remainder when l is divided by 11? 10 What is the remainder when 597 is divided by 1/(10*5/2300)*1? 45 Let v be 23/((-460)/(-1632)) - (-9)/(-15). Calculate the remainder when 301 - 9/(v/(-36)) is divided by 14. 11 Let g = -95 + 99. Let j(a) be the second derivative of -2*a**3/3 - 11*a**2/2 + 13*a. What is the remainder when j(-6) is divided by g? 1 Suppose -u = -4*r - r + 175, -r + 4*u = -54. Suppose -r*j = -29*j - 165. Suppose j + 6 = k. Calculate the remainder when 114
{ "pile_set_name": "DM Mathematics" }
in -1/4, 1.9, 3, -17, 2/9? 3 Which is the third biggest value? (a) 3088 (b) 4 (c) -2/9 (d) 37 b What is the second smallest value in 4, 4/7, -1/5, -163, -21? -21 What is the third biggest value in 4, 241, -1.3, -1/9? -1/9 What is the second biggest value in 7/4, -0.23, 17, 0.3, 1? 7/4 What is the fourth biggest value in 4, -1188, 2, -0.24? -1188 Which is the fifth biggest value? (a) 15 (b) 4 (c) 221 (d) 1/2 (e) -1 e What is the second biggest value in -2.4, -0.9, 0.82? -0.9 What is the third biggest value in 0.2, -0.24, 1292? -0.24 Which is the second biggest value? (a) -0.3 (b) 7 (c) 2 (d) -1 (e) 3 (f) -27 e What is the biggest value in 0.4, -0.1, -640, 5, 13/4? 5 Which is the fifth smallest value? (a) 0.6 (b) -0.039 (c) 2.4 (d) -3 (e) -1 (f) -2 a What is the third biggest value in -3/7, 1, 1/3, -2, 0.1, -0.5? 0.1 Which is the biggest value? (a) -0.081 (b) -4 (c) 0.1 c What is the third smallest value in 1/12, 1/5, 742? 742 Which is the second smallest value? (a) -5 (b) -0.039 (c) 2/7 (d) -0.3 (e) -2 e What is the third biggest value in -2, -5, -2/15, 1.99, -1/12? -2/15 Which is the second smallest value? (a) -1/4 (b) -3 (c) -2 (d) 38.1 (e) 4 c What is the fourth smallest value in 3, -4/3, -19, -3.3, 1/83? 1/83 Which is the third smallest value? (a) 68 (b) 4 (c) 0.5 (d) 0.1 (e) -0.59 c Which is the fifth smallest value? (a) 0 (b) 2 (c) -4/3 (d) 194/7 (e) 0.2 d Which is the fifth biggest value? (a) 3 (b) -0.2 (c) 5/16 (d) -0.01 (e) -3.2 (f) -0.3 f What is the second smallest value in 0.5, -848, 1/4, -4, -3, 0.1? -4 Which is the third smallest value? (a) 0.2 (b) 2 (c) -2517/32 b What is the second biggest value in -0.4, -1.7, 90? -0.4 Which is the biggest value? (a) -38 (b) 59.8 (c) 0.4 b Which is the biggest value? (a) -11 (b) -6/121 (c) -4 (d) -1/4 b What is the fourth smallest value in -28, -4, 0.3, 2.3? 2.3 Which is the fifth biggest value? (a) 3 (b) 4/5 (c) 0.5 (d) 4 (e) -5.44 e Which is the smallest value? (a) -1 (b) 4 (c) 73 (d) 3 (e) 65 a Which is the smallest value? (a) 4 (b) -1/3 (c) -0.4 (d) -0.6 (e) 45 (f) 3.1 d Which is the second biggest value? (a) 4 (b) -38/237 (c) 7 (d) -0.3 a What is the fifth smallest value in -156, -0.09, -0.2, 4, -0.3? 4 What is the biggest value in 2, -0.5, -49, 2/9, 3, -131? 3 What is the smallest value in -4, -7, -5, -1/3, 0.1, 36? -7 What is the fifth smallest value in -3/7, -3/4, 2/3, 1/6, -50? 2/3 What is the biggest value in 45, -3/2, -3, -14, -146? 45 What is the smallest value in 21, -5, 0.002, -0.2? -5 What is the fourth biggest value in 3/7, -5, -105, 1/6, 1/8? -5 Which is the fifth biggest value? (a) 168 (b) -3 (c) 0 (d) 1 (e) 5 b What is the third smallest value in -124, -485/3, 2/11? 2/11 What is the fourth biggest value in -4/7, -2/63, -1/6, -2/5, -2/11? -2/5 Which is the smallest value? (a) 16.7 (b) -6 (c) -1/5 (d) -4/7 b What is the biggest value in 1.702, 0, -2.21? 1.702 What is the biggest value in -12, -0.9, 16, 0.1, 0.3? 16 What is the second smallest value in 0.084, -3/262, 0.4? 0.084 What is the third smallest value in 0.66, 1/5, 2/7? 0.66 Which is the second smallest value? (a) 27.34 (b) 4 (c) 1/2 b What is the smallest value in -6/137, -0.4, 2/13, 18? -0.4 Which is the third biggest value? (a) 3 (b) -38 (c) -2.9 (d) -0.4 (e) 0.5 d What is the second biggest value in -3/4, 8, 4, -0.09, -1/7? 4 Which is the third biggest value? (a) 2/11 (b) -1/3 (c) 0.3 (d) -0.4 (e) -2 (f) -116 b What is the biggest value in 3, -0.5, -4, -10, -0.434? 3 What is the third biggest value in 0, 767, 2/101? 0 What is the third smallest value in -47, 4/9, 565, -2? 4/9 Which is the smallest value? (a) 308/15 (b) -708/11 (c) -2 b Which is the fourth biggest value? (a) 7 (b) 4 (c) 0.4 (d) 3/25 d What is the second biggest value in 0.0033, 7, 0.6? 0.6 What is the sixth smallest value in -0.06, -21, 0.1, -12, 2, -0.2? 2 Which is the biggest value? (a) 1/2 (b) 0.3 (c) 1 (d) 0.02026 c Which is the smallest value? (a) -18 (b) 1 (c) -2/1537 a Which is the biggest value? (a) 7.8 (b) -5 (c) 46 c What is the third biggest value in 2/23, 0.01, -4, 2/7, 2/477? 0.01 Which is the third smallest value? (a) -247/7 (b) -4 (c) 5.24 c What is the biggest value in 5, 0.5, 1, -20, 0.1? 5 Which is the third biggest value? (a) -8 (b) 0 (c) 0.082 (d) -5 (e) -0.06 e Which is the second smallest value? (a) -1.1 (b) -0.73 (c) -1 (d) -3 (e) 5/3 a Which is the second biggest value? (a) -0.1 (b) 1 (c) 0.5 (d) -250 c What is the fifth smallest value in 1, 1/8, 5, -0.3, 24.875, 2/11? 5 Which is the third smallest value? (a) 2 (b) -140 (c) -0.5 (d) -37 c Which is the third smallest value? (a) -1/6 (b) 13 (c) -3/662 b Which is the fifth biggest value? (a) -45 (b) 0.2 (c) 6/11 (d) -4 (e) -0.1 (f) -0.176 d What is the fourth biggest value in -14/13, 25, 0.3, 2/7? -14/13 What is the fifth biggest value in 0.2, 0.4, -3, -308, 2.9? -308 What is the fourth smallest value in 42/13, 0.2, 3, 40? 40 What is the biggest value in -0.5, 829, -2, -1/16, 0.1? 829 What is the smallest value in 5, -2/11, -46/5, 0.42, 3.9? -46/5 What is the third smallest value in -0.007, -4/9, -0.2, 1/5, -10, -3? -4/9 What is the second biggest value in 0.4, -3, 6.615, 3? 3 What is the second biggest value in 5, -178/3, -3.8, 1, -0.2? 1 What is the second smallest value in -0.1, -7, -8/7, -190? -7 Which is the smallest value? (a) 2/11 (b) 0 (c) -4 (d) -386 (e) 1 d Which is the second smallest value? (a) -8 (b) 1054 (c) 0 (d) -2/17 (e) -2/9 e Which is the third biggest value? (a) 2.7 (b) 4 (c) -32.24 c What is the second biggest value in 0.4, -0.3, -1, -25/12, 1? 0.4 What is the fifth smallest value in -1/4, -2/9, 1883, -4, 2? 1883 Which is the fifth biggest value? (a) 1 (b) 1/3 (c) 0.4 (d) 25 (e) -33 e What is the second biggest value in 91/6, 2, -2/5? 2 Which is the third biggest value? (a) -0.1 (b) -0.3 (c) -3/2 (d) 0.04 (e) 375 a What is the biggest value in -17, 2385, 6? 2385 Which is the third smallest value? (a) 5854 (b) -7 (c) -2/15 (d) -0.4 (e) -5 d What is the smallest value in -21, -17, 1.8? -21 What is the second smallest value in 2/3, 3, -34, 685? 2/3 What is the second smallest value in 4, -2/7, -2636, -0.03? -2/7 Which is the fourth smallest value? (a) 3 (b) -52 (c) 154 (d) 1/3 (e) 5 e Which is the biggest value? (a) 892 (b) -1/3 (c) 1/18 a Which is the third smallest value? (a) -14/9 (b) 4 (c) -1/83 (d) -5 (e) -1 e Which is the sixth smallest value? (a) -2 (b) -3/2 (c) 0.24 (d) -0.06 (e) -4 (f) -2/5 c What is the fifth biggest value in 0.02, 1/7, 1/5, 0, -47.548? -47.548 What is the biggest value in -225, -2/9, -2, -2/5, 2? 2 What is the second biggest value in 0, 1, -0.1, 14, 25? 14 Which is the third smallest value? (a) 2793 (b) 0.1 (c) 22.8 a Which is the biggest value? (a) 4 (b) -0.7 (c) 1.3 (d) 4/7 a What is the biggest value in -5, 1/4, -2.3, 3? 3 What is the third biggest value in -0.05, -0.98, 5, 4? -0.05 Which is the third smallest value? (a) 0.3 (b) 514.8 (c) 0.7 (d) -0.3 c What is the third biggest value in -0.18, 4820, 4? -0.18 What is the smallest value in -3, 27, -815.9, -1? -815.9 What is the fifth biggest value in -5, -0.4, -1/3, 1/4, 120, -1657? -5 Which is the fourth biggest value? (a) -3 (b) 4 (c) 10 (d) -5/9 (e) -2/3 (f) -2/13 d What is the biggest value in 3, 921, 0.13? 921 What is the fifth smallest value in 2/19, 1/2, 4, -50/7, 2? 4 What is the third smallest value in -141, -80, -0.4? -0.4 Which is the third biggest value? (a) 1241.2 (b) 3/5 (c) -5 c What is the fourth biggest value in -1/10, 1/3, 4/7, 7.4? -1/10 What is the second smallest value in -24, -3/44, 0.04, -9/5? -9/5 What is the third smallest value in 29782, -11, -0.2? 29782 Which is the third smallest value? (a) 0.07 (b) 196 (c) 3 (d) -74.6 c Which is the second biggest value? (a) -0.0693 (b) -5 (c) 0 (d) -2.4 a What is the second biggest value in -0.2, 764, -26? -0.2 Which is the fourth smallest value? (a) -1/2 (b) 0.2 (c) -123/5 (d) 502 d What is the third biggest value in 236, 1.4, 0.1, 2/3, 0.06? 2/3 Which is the fifth biggest value? (a) -9 (
{ "pile_set_name": "DM Mathematics" }
7 Suppose -j + 6 = 2*j. Let l(z) = 4 + 2*z - 3 - 2*z**j + 2. Let g = 9 - 6. Determine l(g). -9 Let n be 2/7 - 48/(-28). Suppose -s - g = 4, -9 = n*s + g - 0*g. Let l(a) = 4*a**2 - 43*a - 7. Let r(c) = c**2 - 8*c - 2. Let x(w) = l(w) - 5*r(w). Give x(s). -7 Let u(b) = -5*b**2 - b. Let r be (-3)/(21/(-35)) - 7. Let d(v) = 3*v. Let z(f) = f + 1. Let l(x) = -d(x) + 5*z(x). Let i be l(r). Give u(i). -6 Let d(r) = -65*r - 5. Let c(g) = -65*g + 1. Let n(b) = 2*c(b) - 3*d(b). Let w(a) = 22*a + 6. Let s(m) = -4*n(m) + 11*w(m). Give s(-1). 16 Let n(x) be the second derivative of -x**7/420 - x**6/360 + x**5/60 + x**4/4 + x**2/2 - 87*x. Let f(o) be the third derivative of n(o). Give f(1). -6 Let m(o) be the first derivative of -o**6/360 - 5*o**3/3 - 4*o + 66. Let u(q) be the third derivative of m(q). Give u(0). 0 Suppose -45*m + 46*m - 3*y = 13, 5*m + 20 = -2*y. Let k(x) = -2*x**3 - 3*x**2 - 2*x + 4. Determine k(m). 12 Let b = -1046 + 1049. Let f(a) = 2*a - 2. Let t be f(4). Let x(w) = -w - t + b - 1 + 12*w**2 + 5. What is x(1)? 12 Let j(x) = x + 10. Let q be j(-4). Suppose -3*a = -q*a + 27. Let l be a/(-3)*((-40)/(-3))/5. Let z(b) = 2*b + 11. Give z(l). -5 Let k(h) = h - 2. Let t be k(6). Suppose 8*b = t*b + 20. Let i(m) be the second derivative of m**5/20 - m**4/3 - m**3/2 + m**2/2 + 2*m. What is i(b)? 11 Let d(x) be the second derivative of -x**6/120 - x**5/30 + x**4/24 - x**3/6 + 8*x**2 + 45*x. Let q(r) be the second derivative of d(r). Determine q(3). -38 Let m(z) = -z + 3. Let a be 0/(4/2 + -1). Suppose a = -x - 1 - 2. Let r be 4/(-6)*36/x. Calculate m(r). -5 Suppose 3*y + 756 = 765. Suppose 0 = y*i + 3*v + 6, -3*i + v - 2*v - 6 = 0. Let c(q) = 19*q - 2. Calculate c(i). -40 Let y(f) = -2*f + 2. Suppose 0 = 5*w + 3*u + 16, w + 2*u - 4 = 5*u. Let p be 9/(45/(-20))*1/w. Calculate y(p). -2 Suppose 2*x + 0*x - 1 = r, -3*x - r = 11. Let k be (-2 - 4)*x/(-3). Let t(u) = u**3 + 29 - 5 + 4*u**2 - 25. What is t(k)? -1 Let x(m) = -3*m**2 + m + 2. Suppose 4*y - y + 7 = 5*q, -4*y + 3*q - 2 = 0. Let a(u) = 15*u**2 - 8*u - 4. Let p(v) = y*a(v) + 4*x(v). Calculate p(2). 8 Let y(l) = -l - 41. Let i be (405/25 - 16)*0. Determine y(i). -41 Let x(p) = 2*p**2 - p. Let t be x(-1). Suppose t*w = 5*w - 186. Let a = w - 88. Let g(y) = -y**2 + 5*y - 3. Calculate g(a). -3 Let u(m) = 4*m**3 - 10*m**2 + m + 7. Let c(l) = 11*l**3 - 30*l**2 + 2*l + 22. Let j(s) = -3*c(s) + 8*u(s). Let y be -11 + (-2583)/82*2/(-3). Calculate j(y). 10 Let x(h) be the first derivative of h**3/3 + h**2/2 - 1. Suppose 118*l + 717 = 9. Let n(m) = m**3 + m**2 + 5. Let a(j) = l*x(j) + n(j). What is a(6)? 5 Suppose -67*n - 114 = -1186. Let t(y) be the first derivative of 1/2*y**2 + n - 14*y. What is t(8)? -6 Let l(g) be the first derivative of g**2/2 + g - 11. Suppose -2*k - 4 = -2*h, -k = -0*k - 5*h + 22. Suppose 0 = 4*q + 16, k*q = -u + q - 12. What is l(u)? -3 Let g(m) = 34*m + 11. Let q(y) = -39*y - 17. Let d(t) = 10*g(t) + 9*q(t). Determine d(0). -43 Let k(p) = p**2 + 13*p + 18. Let v(m) = 404*m + 396*m - 801*m - 7*m**3 - 4*m**3. Let l be v(1). Give k(l). 6 Suppose 81 = 10*q - 7*q + 5*n, -5*n + 37 = q. Let t(j) = -3*j + 80. Determine t(q). 14 Let l(b) be the second derivative of b**5/10 + 11*b**4/12 + 13*b**3/6 + b**2/2 - 1904*b. Give l(-4). -3 Let s(n) = -4*n**3 + n**2 + n + 1. Suppose 10 = -5*r + 145. Suppose 29*z = r*z + 4. Suppose -z*f = 3*f + 5. What is s(f)? 5 Let g(r) = -r**3 - 3*r**2 + 7*r - 9. Let x be g(-5). Let l be (11 + -12)/((-1)/x). Let u(d) = -2*d - 8 + 8*d + d**3 - 7*d**2 + 12. What is u(l)? 4 Let i(y) = 5*y**2 + y + 1. Let v(p) = -11*p**2 - 2*p - 2. Let t(k) = -9*i(k) - 4*v(k). Suppose -10 = 5*q - d, 4*q - 304*d + 300*d = 8. Determine t(q). -7 Let y(g) = -g**3 + 10*g**2 + g - 2. Let p(j) = -6993*j**3 - 1 + 2*j**2 + 3493*j**3 + 3499*j**3. Let n(b) = 4*p(b) - y(b). Calculate n(-2). 16 Let g = 12474 + -12460. Let k(x) = -2*x**3 + 28*x**2 + 2*x - 22. Calculate k(g). 6 Let y(z) = -52*z + 10. Suppose u + 4 = -2*w, -412*u - 8 = -3*w - 410*u. What is y(w)? 10 Let u(p) = 28*p - 203. Let m be u(7). Let t(v) = 9*v. Determine t(m). -63 Let d(i) be the first derivative of -3*i**4/4 - 164*i**3/3 + 53*i**2/2 - 115*i + 2490. Determine d(-55). -5 Suppose -2*x = -2*q + 3*x + 116, x + 100 = 2*q. Suppose -5*w - 93 = -q. Let b be (-10)/5*w/(-6). Let p(l) = -l**3 - 2*l**2 - l. Give p(b). 12 Let f(a) = 8*a - 124. Let w be f(16). Let c(b) = -w*b - 1 + 5*b + 0 + 2*b. Calculate c(1). 2 Suppose 2*v - 134 = 3*y, 5*y = v - 0*y - 53. Suppose -v*p + 20 = -71*p. Let a(l) = -l**3 + 9*l**2 + 11*l - 14. Determine a(p). -4 Let h(d) = 3*d + 14. Let s = 5332 - 5338. Give h(s). -4 Let x(c) = 4 - 12 + 2 + 2 + 0*c + 2*c. Let v be ((-1 + -2)/3)/(1/(-4)). Let g be (v/(-1)*-1)/(7/(-14)). Determine x(g). -20 Suppose 2*p + 10 = 4*l, -59*l - 4*p + 34 = -58*l. Let g(b) = b**3 - 5*b**2 - 4*b - 9. What is g(l)? 3 Let j = 730 - 691. Let v(r) = -j + 11*r - 9*r + 37. Give v(3). 4 Let i(m) be the second derivative of 1 + 3/2*m**2 - 1/6*m**3 - 40*m. Determine i(0). 3 Suppose -3*g + g + 6 = -2*p, -3*p - 11 = -4*g. Let k(d) be the first derivative of 10*d + g*d**2 + 4 - 2*d - 2*d - 8*d. What is k(2)? 6 Suppose 10*p - 18 = 8*p, -p + 17 = -8*j. Let y(c) = 15*c**2 - 9*c + 4. Let r(l) = 7*l**2 - 4*l + 2. Let t(g) = 13*r(g) - 6*y(g). Give t(j). 1 Let i(m) = -5*m - 36. Let f(p) = 4*p + 30. Let y(x) = 6*f(x) + 5*i(x). Let q(s) = s**3 + 6*s**2 - s. Let c be q(-6). Suppose 3*h - c = -15. Determine y(h). 3 Let n(t) = t**2 + 22*t - 90. Let w(i) = 18. Let k(j) = n(j) + 5*w(j). Calculate k(-18). -72 Let h(y) = y - 6. Let d be (4/(-3))/((-8)/(-180)*5). Let v(o) = o - 7. Let b(k) = d*h(k) + 5*v(k). What is b(3)? -2 Let o(s) = -245*s**2 + 196*s + 249*s**2 - 194*s - 3. Let h be 1 - (8/4 + -3). Calculate o(h). 17 Suppose -69*z - 87 = -98*z. Let w(x) = -x**3 + 9*x**2 - 20*x + 4. Calculate w(z). -2 Let f(d) = -14 - 73*d - 67*d + 139*d. Let q(m) = m - 2. Let t = 38 - 46. Let i be q(t). Calculate f(i). -4 Let g(l) be the third derivative of 7*l**4/24 - 31*l**3/6 + l**2 + 9*l. Give g(13). 60 Let u(l) = 66*l**2 + 15*l + 20. Let x(o) = 38*o**2 + 9*o + 12. Let p(c) = -7*u(c) + 12*x(c). Give p(2). -14 Let w(l) = 10*l - 21. Let q(z) = -3*z - 4. Let s(u) = -6*q(u) + w(u). Determine s(-1). -25 Let j be (-24)/3 + 2/2. Let v(k) = -6*k - 468. Let a(s) = -5*s - 352. Let b(x) = 4*a(x) - 3*v(x). Give b(j). 10 Let x(b) = 4*b - 21. Let i be x(5). Let n be (-4 - 4/2) + (i - -3). Let u(k) be the first derivative of -k**3/3 - 3*k**2/2 - 5*k - 33. What is u(n)? -9 Let r be (-13 - 1)*22/(-77). Let d(q) = 5 + r - q**2 - 5*q - 17 + 5. What is d(-3)? 3 Let z(x) be the third derivative of x**6/120 + 17*x**5/20 + x**4/12 + 14*x**3 - 493*x**2 - 2*x - 2. Give z(-51). -18 Let v(k) = -k**3 + 7*k**2 - k + 19. Let t be ((-61)/(-26) + (-130)/(-845))*24/10. What is v(t)? 49 Suppose -8*o = -11 - 5. Let p(l) = 170*l - 3 - l**o - 5 - 182*l. Determine p(-11). 3 Let p(d) be the first derivative of d**2/2 - d + 5. Suppose -71*f - 14 = -73*f. Suppose -f*n + 8 + 41 = 0. What is p(n)? 6 Let y(o) = -o. Suppose -2*u - 38 = -3*a, -6*a + 36 = -2*a + u. Let k be (11 - -1)*((-39)/(-4) - a). Calculate y(k). 3 Let k(m) = -11*m - 25. Let r be ((-3)/3 + (-5)/(-3))/((-249)/747). Give k(r). -3 Let p(n) = -11*n + 81. Suppose -a - 2*f = -14, 15*a + 3*f = 17*a - 7. What is p(a)? -7 Let s be (-42 - -37) + (-1)/(2/(-22)). Suppose -4 = -5*i - 4*l, i = -s*l + l - 16. Let j(p) be the third derivative of p**4/8 + 2*p**3/3 + 2*p**2. What is j(i)? 16 Let g(q) = 2*q - 8. Let h = 523 + -493. Suppose 46*j = 52*j - h. Determine g(j). 2 Let f(o) = 338550 - 338346 + 16*o + 4*o. Calculate f(-10). 4 Let l(w) = -4*w**3 - w**2 - 2. Let f = 7 + 4. Let k(v) = -v**2 + 7*v + 46. Let d be k(f). Calculate l(d). -38 Let j(i) = -373 + 68*i + 171 + 205. What is j(1)? 71 Let x(g) = -27*g + 5. Let q = -1048 + 1045. What is x(q)? 86 Let u(f) be the third derivative of -f**5/24 - f**3/3 + 2*f**2 + 2*f. Let n(r) be the first derivative of u(r). Let v be ((-2)/6)/(3/(-9)). Give n(v). -5 Let t be ((-12)/9)/(102/(-18) + 6). Let i be -4 - (t - (-1 + -1)). Let n(u) = u**2 + 5*u + 3. What is n(i)? -3 Let p(m) = -m**3 + 10*m**2 - 25*m - 54. Let j(i) = -i**3 + 11*i**2 - 31*i - 56. Let h(z) = 5*j(z) - 6*p(z). Determine h(3). 11 Let c(j) = j**3 + 2*j**2
{ "pile_set_name": "DM Mathematics" }
29*k**2 + 3. Let u(c) = 3*w(c) + 2*y(c). What is the derivative of u(p) wrt p? -58*p Let t(r) be the third derivative of -13*r**5/60 + 13*r**4/24 - 6*r**2. What is the second derivative of t(v) wrt v? -26 Let x(h) be the second derivative of -1/10*h**5 - 1/2*h**2 + 0 + 0*h**4 + 0*h**3 + 2*h. Differentiate x(f) with respect to f. -6*f**2 Let r be ((-12)/(-15))/((-1)/(-10)). Suppose 5*n + 10 = -5*b, 5*b - n = -0*n + r. Differentiate 2*j - 2*j**2 - 2*j - b wrt j. -4*j Let q(l) be the first derivative of -71*l**3/3 - 24*l - 6. Find the first derivative of q(s) wrt s. -142*s Let c(t) be the first derivative of -9*t**7/7 - t**4/2 + 10*t**3 - 22. What is the third derivative of c(d) wrt d? -1080*d**3 - 12 Let b(q) be the first derivative of -3 + 0*q**2 + 0*q**5 - 1/3*q**6 + 0*q + q**3 + 0*q**4. What is the third derivative of b(t) wrt t? -120*t**2 Let w(n) be the third derivative of n**6/10 + n**5/20 + 12*n**2. Find the third derivative of w(a) wrt a. 72 Suppose 5*t = -25, -5*y = -6*t + 2*t - 35. Differentiate -4 - 2*r**2 - y*r**2 - 3 - 5*r**2 wrt r. -20*r Let p(h) be the third derivative of h**7/35 + 7*h**5/60 + 6*h**2. What is the third derivative of p(s) wrt s? 144*s Suppose -g = 0, 2 = k + 2*g + 3*g. What is the first derivative of -5*p**2 + p**k + 1 + 2*p**2 - p**2 wrt p? -6*p Let f(j) = 3*j + 6. Let y be f(-4). Let o(c) = c**3 + 7*c**2 + 6*c + 4. Let x be o(y). Find the third derivative of 4*z + 3*z**4 - x*z - 2*z**2 wrt z. 72*z Let p(u) be the third derivative of 0 + 5*u**2 - 1/24*u**4 + 2/3*u**3 + 0*u. What is the first derivative of p(z) wrt z? -1 What is the derivative of -8*p**2 + 27*p**2 - 12*p**2 + 6 wrt p? 14*p Let j(w) = -w. Let v be j(-5). Find the second derivative of 2*p**5 - 4*p**5 - 2*p + p + 5*p**v wrt p. 60*p**3 Let p(q) be the first derivative of 0*q**2 + 1/3*q**3 + 3/2*q**4 + 0*q - 3. Find the third derivative of p(c) wrt c. 36 Let i = 12 + -7. Find the second derivative of -3*w**5 + 0*w**i + 2*w**5 + w wrt w. -20*w**3 Let p(v) = 7*v**5 - 3*v**3 - 3*v**2 - 12*v. Let w(r) = 22*r**5 - 8*r**3 - 8*r**2 - 35*r. Let y(a) = 8*p(a) - 3*w(a). Find the second derivative of y(m) wrt m. -200*m**3 Suppose 3*p + 6 = -k + 13, -4*p - 3*k = -6. What is the derivative of -3*t + 0*t - 5 + p*t + 3*t**2 wrt t? 6*t Suppose -5 = -2*v - 3*h + 15, 5*v - 8 = 3*h. What is the second derivative of 0*q**4 + q + 6*q - q**v + q wrt q? -12*q**2 Let z(g) be the first derivative of -7/5*g**5 + 3 + 0*g**4 + 0*g - 1/2*g**2 + 0*g**3. Find the second derivative of z(m) wrt m. -84*m**2 Let m(s) be the second derivative of -3*s**7/14 - s**4/2 + 10*s. What is the third derivative of m(k) wrt k? -540*k**2 What is the second derivative of -2*m**2 + m**2 - 6*m - 6*m**2 wrt m? -14 Let b(d) = 23*d**3 + 3*d**2 + 12. Let w(h) = -24*h**3 - 4*h**2 - 13. Let r(m) = 4*b(m) + 3*w(m). What is the first derivative of r(k) wrt k? 60*k**2 Let k be (-2 - -1 - -1)/2. Suppose -5*d + k*d = -20. Find the second derivative of 3*t**4 - 4*t**4 + 4*t**d - 3*t wrt t. 36*t**2 Let g be (6/10)/((-1)/(-5)). Let w be (0 - 3)*(-2)/g. Find the second derivative of -b**3 + 0*b**3 - 2*b + w*b**3 wrt b. 6*b Suppose 0*p + 2*p = 8. What is the second derivative of -3*v**5 + p*v**5 - 4*v**5 + 5*v + 0*v wrt v? -60*v**3 Let f(s) = 5. Let h(c) = -c**2 - 6*c - 9 + 6*c. Let w(r) = 11*f(r) + 6*h(r). Differentiate w(i) wrt i. -12*i Suppose 0 = -2*w + 3*w. What is the first derivative of w*l + 2*l + 2*l - 1 - l wrt l? 3 Let c(s) = -s**2 - 6*s - 7. Let t(x) = x**2 + 2. Let m be t(-2). Let k(f) = 2*f**2 + 11*f + 13. Let h(o) = m*k(o) + 11*c(o). Differentiate h(g) wrt g. 2*g Let z(k) be the first derivative of 11*k**3/3 - 3*k - 5. What is the derivative of z(m) wrt m? 22*m Let r(n) be the third derivative of -13*n**8/112 - 7*n**4/8 - 13*n**2. What is the second derivative of r(a) wrt a? -780*a**3 Let b(y) be the second derivative of y**8/7 + y**4/3 - 7*y. Find the third derivative of b(m) wrt m. 960*m**3 What is the third derivative of 4 + 16*i**6 - 3446*i**4 + 3446*i**4 + 10*i**2 wrt i? 1920*i**3 What is the third derivative of -4*r**6 - 5*r**2 + 5*r**2 - 3*r**2 + 13*r**6 wrt r? 1080*r**3 Let a(z) be the third derivative of -z**8/24 + 35*z**4/24 - 6*z**2. Find the second derivative of a(c) wrt c. -280*c**3 Let m(z) be the first derivative of -z**5 - 4*z**2 - 2. Find the second derivative of m(d) wrt d. -60*d**2 Let f(x) be the first derivative of x**6/6 - x**3 - 7. What is the third derivative of f(n) wrt n? 60*n**2 Let m(s) be the first derivative of -7*s**5/120 + s**4/6 - s**3 + 5. Let d(j) be the third derivative of m(j). Differentiate d(g) wrt g. -7 Find the third derivative of 11*v**2 - 3*v**2 - 217*v**6 + 185*v**6 wrt v. -3840*v**3 Let y = 3 + 5. What is the third derivative of 2*h**2 - y*h**2 + 0*h**3 + 4*h**3 wrt h? 24 Let p be (-18)/(-4) - 2/(-4). Suppose -p = -2*q + 7. Find the third derivative of 5*n**6 + 0*n**6 + 0*n**2 - 3*n**q + 2*n**2 wrt n. 240*n**3 Suppose 0 = -5*p - 5 + 15. Suppose -4 = -3*t + p. Find the third derivative of 5*x**2 - 5*x**5 - 2*x**t + 3*x**5 wrt x. -120*x**2 Suppose -f - 2*f = -6. Let u be 1 - (-1 - (2 - f)). Find the third derivative of 0*y**2 + y**6 - y**u - 3*y**6 wrt y. -240*y**3 Let j(o) = o**5 - o**4 - o**3 + 1. Let u(i) = -5*i**5 - 5*i**4 - 5*i**3 - 21*i**2 + 5. Let h(c) = 5*j(c) - u(c). What is the third derivative of h(k) wrt k? 600*k**2 Let w(c) be the first derivative of c**6/5 + c**3 - 9*c - 10. Let s(r) be the first derivative of w(r). What is the second derivative of s(q) wrt q? 72*q**2 Let h = -6 - -8. What is the third derivative of 23 - k**h - 4*k**6 - 23 wrt k? -480*k**3 Suppose 4*v + 45 = 9*v. Find the third derivative of v - 3 - 6 + 8*q**2 - q**5 wrt q. -60*q**2 What is the derivative of 11*x**4 - 27*x**4 + 5 + 14*x**4 wrt x? -8*x**3 Let l be (1/(-3))/(2/(-6)). Let i(a) = -a**2 - 5*a + 4. Let q(g) = -g. Let f(j) = l*i(j) - 5*q(j). Find the first derivative of f(c) wrt c. -2*c Let t(u) be the second derivative of -u**8/336 + u**5/60 + u**2/2 - 3*u. Let v(s) be the first derivative of t(s). What is the third derivative of v(g) wrt g? -60*g**2 Let a = -5 - -9. What is the second derivative of 0*q**4 + q**a - 2*q**4 - 3*q wrt q? -12*q**2 Find the third derivative of 3*f - 4*f + 3*f**2 + f - 3*f**4 wrt f. -72*f Let k(c) = -3*c**3 - 11*c**2 - 14*c. Let y(d) = d**2 + d. Let s(p) = -2*k(p) - 22*y(p). What is the second derivative of s(r) wrt r? 36*r Let i(r) be the second derivative of -r**3/6 - 2*r**2 - r. Let f be i(-6). What is the third derivative of 0*t**f - 2*t**2 - 3*t**4 + 5*t**4 wrt t? 48*t Let n(g) = g - 5. Let f(k) = 2*k**3 - 3*k**2 + k + 2. Let c be f(2). Let y be n(c). What is the second derivative of 3*r**3 - 3*r**4 - 3*r**y + 2*r wrt r? -36*r**2 Let q = -1 - 2. Let g = 4 + q. Differentiate -g - 2*v**2 + 4*v**2 - v**2 with respect to v. 2*v Let t(m) = -m - 1. Let v be t(-4). Find the second derivative of 0*a**v + 39 - 39 - a**3 + a wrt a. -6*a Let v be 3 + (-3 - -3 - 3). Suppose 5*d = 2*l + 45, v = 2*l + 9 + 1. Find the third derivative of -4*x**2 - 2*x**3 - 2*x**5 + d*x**2 + 2*x**3 wrt x. -120*x**2 Let c(y) be the first derivative of -31*y**6/6 - 13*y**3/3 + 10. What is the third derivative of c(u) wrt u? -1860*u**2 Find the second derivative of 0*j**3 + 7*j**3 + 12*j - 9*j - 4*j wrt j. 42*j Let w(z) be the first derivative of z**8/112 + z**5/60 + z**2/2 - 3. Let i(r) be the second derivative of w(r). Find the third derivative of i(f) wrt f. 180*f**2 Let g(p) be the third derivative of -p**4/2 + p**3/2 - 5*p**2. Differentiate g(b) with respect to b. -12 Let h be -16 - 0/2 - 0. Let d be 4/h + (-17)/(-4). Find the third derivative of -i**5 - 9*i**3 + d*i**5 + 9*i**3 - 3*i**2 wrt i. 180*i**2 Find the third derivative of -8*s**5 + 66*s**2 - 114*s**2 + 73*s**2 wrt s. -480*s**2 Suppose 7*i + 4 = 8*i. Find the second derivative of -4*f**4 - 2*f + 9*f**i - 2*f wrt f. 60*f**2 Let d(u) be the third derivative of 1/12*u**4 + 0 + 0*u - 4*u**2 - 1/3*u**3. Differentiate d(z) wrt z. 2 Find the second derivative of -5*p - 3*p + 12*p**5 - 7*p**5 wrt p. 100*p**3 Find the third derivative of 0*s**2 - 5*s**2 + 71*s + 25*s**5 - 71*s wrt s. 1500*s**2 Let p(q) be the third derivative of q**8/280 - q**4/6 - q**3 + 4*q**2. Let x(b) be the first derivative of p(b). Different
{ "pile_set_name": "DM Mathematics" }
3*t - 4*t + (-2*t - 5 + 5)*(3 + 1 - 2) + 2*t - t + t. 21*t Expand (1 - 3 + 0)*(30*x**4 - 25*x**2 + 46*x**2 - 23*x**2). -60*x**4 + 4*x**2 Expand (-2*l + 8 + 0 - 6)*(-l**3 + 2*l - 3*l + 0*l). 2*l**4 - 2*l**3 + 2*l**2 - 2*l Expand 2*i**2 - i**2 + 0*i**2 + (-i + 4*i + 9*i)*(3*i - i - 4*i). -23*i**2 Expand (3 - 3 + 4)*(2*l + 3 - 3)*(5*l + 0*l - 3*l)*(3 - 2 + 4). 80*l**2 Expand (0 - 2 + 1)*(23*m - 18*m - 6*m). m Expand (2*x - 4*x + x)*(10 - 36 - 12)*(2*x - 4*x + x). -38*x**2 Expand ((4 - 4 - 1)*(0 - 2 + 1) + 2 + 3 + 4)*((3*n + 2*n - 6*n)*(3*n**3 - n**3 - 3*n**3) + 1 + 2*n**4 - 1). 30*n**4 Expand (-688*d**3 - 36*d**4 + 688*d**3)*(0 - 3 + 4)*(0 - 1 - 2). 108*d**4 Expand (4 - 5 + 4)*(a**2 - 7*a**2 + 3*a**2)*(-4*a + 0*a - a + (7*a - a - 4*a)*(-4 + 6 - 4)). 81*a**3 Expand (-3 + 3 + v**2)*(-3*v - 3*v + 5*v) - 2*v**3 + 0*v**3 + 0*v**3 + v**3 + 2*v**3 + 22*v - 2*v**3. -2*v**3 + 22*v Expand (-3*h**2 + 3*h**2 + 6*h**2)*(-3*h + 2*h - h + (3 - 6 + 1)*(2*h + 0 + 0) + 5*h - h - 5*h). -42*h**3 Expand (10*q - 4*q - 8*q)*(3*q**2 + 2*q**2 - 4*q**2)*(12*q**2 - 228*q + 228*q). -24*q**5 Expand 6*m**5 - 3*m**5 + 382*m**3 - 431*m**3 + (0*m**2 + 5*m**2 - 4*m**2)*(m**3 - 5*m**3 + 3*m**3). 2*m**5 - 49*m**3 Expand (-509 + 1015 - 506 - 69*w)*(3*w**2 + 0*w**2 - 2*w**2). -69*w**3 Expand ((-2 - 2 + 2)*(0*x + 2*x - 5*x) + 5*x - 3*x + 0*x)*(0 + 0 + 6). 48*x Expand (b + 3 - 3)*(-1 + 2 + 1) - 84*b + 658*b - 279*b. 297*b Expand (4 - 4 + 4 + (5 - 2 - 1)*(17 - 12 + 11))*(-2*q**3 + q**3 + 0*q**3). -36*q**3 Expand 128*h**2 + 2 + 2 - 5 + 0*h + 0*h + h**2 + 0 + 0 - 2*h**2 + 2*h**2 - 4*h**2 + h**2 + (-3*h - h + 6*h)*(h - h + 2*h) + 1 - 1 + 2*h**2. 132*h**2 - 1 Expand (-2*w**2 - 2*w**2 + 2*w**2)*(-42*w**2 - 2878*w + 2876*w - 23*w**2). 130*w**4 + 4*w**3 Expand (4 - 2 + 0)*(2 + 5 + 0)*(3 - 3 - 4*d)*(1 + 0 + 1)*(-3 + 1 + 1)*(0 + 0 + 4). 448*d Expand (-1 - 2 + 7)*(-3*p**2 + 3*p**2 - p**4) + 0*p**3 + 0*p**3 - 4*p**4 + (p**2 + 2*p - 2*p)*(p**2 + 2*p**2 - p**2) + 2*p**4 - p**4 + 3*p**4. -2*p**4 Expand (-q - 5*q + 27*q)*(5 + 4 - 12 - 4). -147*q Expand (3*j + j - 7*j)*(2 + 0 - 1)*(-1 + 2 + 2). -9*j Expand (5*v**4 - 2*v**4 + 4*v**4)*(-3*v + 7*v + 6 - 3*v). 7*v**5 + 42*v**4 Expand -2*x**3 + x**3 + 0*x**3 + (-12 + 5 - 11*x + 9*x)*(-x + x + 4*x**2). -9*x**3 - 28*x**2 Expand (1 + 0 - 5)*((-31 + 31 - 3*w)*(-5*w**4 + 3*w**4 + 4*w**4) + 0*w**5 + 3*w**5 - w**5 + 1 - w**5 - 1 + (2*w**3 - 3*w**3 + 2*w**3)*(-2*w**2 + w - w)). 28*w**5 Expand (526 + 2266*h**2 - 269 - 255)*(-h - h + 4*h). 4532*h**3 + 4*h Expand (0 + 0 - z**2)*(3*z + 2*z - 4*z + (-2*z + 7*z - 3*z)*(4 - 1 - 1))*(6*z**2 - 15*z**2 + 8*z**2 + 19). 5*z**5 - 95*z**3 Expand 0 + 0 - l**4 + (0*l - l - l)*(3*l**3 + l**3 - 7*l**3) - 15*l**4 - 5*l**4 - 3*l**4. -18*l**4 Expand 2*a**3 - 2*a**4 + 3*a - 3*a + (2*a**3 - 2*a**3 - 2*a**3)*(2*a - a - 3*a) - 63*a**3 + 63*a**3 - 7*a**4. -5*a**4 + 2*a**3 Expand c**5 - 2*c**2 + 2*c**2 + 10*c**5 + 14*c**5 + 9*c**5 - 2 + 2 + 3*c**5 + (c**2 - 4*c**2 + c**2)*(-c**3 + c**3 + c**3). 35*c**5 Expand 19*l + 31*l - 14*l + 2*l + 2*l - 5*l - 4*l + 5*l - 2*l + (-2*l + 0*l + l)*(2 - 1 + 1) + 2*l + l - l. 34*l Expand (2*s**3 + 11*s**3 + 0*s**3)*(15 + s - 15). 13*s**4 Expand -a - 2*a + 2*a + 0 + a + 0 + (-3 + 5 - 4)*(1 - 1 + 2*a) - 2*a - 5*a + 4*a + (161 + 159 - 365)*(0*a - 3*a + 5*a). -97*a Expand (4*h - 5*h - 2*h - 3*h + 4*h + h + 6*h - 3*h - h - 3*h - h + 6*h + (-3*h + 3*h + 2*h)*(-1 + 4 - 2) + 2 - 2*h - 2 + 1 + h - 1)*(11*h - 107*h - 30*h). -504*h**2 Expand -q**5 + q**5 + 5*q**5 + (-2*q**5 - q**5 + q**5)*(-1 - 3 + 6) + 3*q - 21*q + 11*q + 11*q**5. 12*q**5 - 7*q Expand (0 + 0 + 2*u)*(-154*u + 156*u + 132 + 192). 4*u**2 + 648*u Expand 226*o + 224*o - 455*o + (0 + 0 - 2*o)*(-1 - 4 + 3). -o Expand 3 + 1 + 3*v**3 - 2 + 3*v**3 - 4*v**3 - v**3 + (0 + 2 + 0)*(-3650*v**2 + 3650*v**2 + 34*v**3). 69*v**3 + 2 Expand ((3*u + 7*u - 5*u)*(0*u - 3*u + 4*u) + 7 + 4*u**2 - 7 + (0*u**2 - 3*u**2 + 4*u**2)*(1 + 0 + 1))*(0 - 3*u + 0). -33*u**3 Expand (-g + 55 - 11*g + 14*g)*((-4 + 5 - 3)*(4 - 2 + 0) - 5 + 3 + 4). -4*g - 110 Expand ((-p - 3 + 3)*(-9 + 9 - 7*p) + 3*p**2 - p**2 - 5*p**2)*(-p + 0*p - 2*p)*(-p - 2*p + 2*p). 12*p**4 Expand (4*x - 2 + 4*x**3 - 4*x)*(209 - 209 + 145*x). 580*x**4 - 290*x Expand -11*y**3 + 3 - 3 + (2 - 2 - 3)*(-3*y**3 + 5*y**3 - 4*y**3) - 659*y - 2*y**3 + 659*y + 3. -7*y**3 + 3 Expand -4*h + h + 2*h + (0*h + 0*h + 2*h)*(-2 + 3 - 3) + 16*h - 26 - 10 - 18*h + 0*h + 0*h + 2*h + 0*h + 0*h - 2*h + (-1 + 3 - 4)*(3*h - 3*h + 2*h). -11*h - 36 Expand 98 - 81 - 3*y + 0*y + (0 + 2 - 3)*(-1 + 3 + 0)*(4*y - 3*y - 2*y). -y + 17 Expand (-2*c + 5*c - 2*c)*(36 - 9*c**3 + 4*c**3 - 51). -5*c**4 - 15*c Expand (8*y - 16*y - 9*y + 1 - 1 + 3*y + (-1 + 1 + 2*y)*(-1 - 4 + 3) + y - 5*y + 3*y - 4 + 4 - y)*(-6 + 6 - 4*y). 80*y**2 Expand -12*m**4 - m**3 - 13*m**4 + 0*m**3 + (1 - 1 + 2)*(2*m**4 - 3*m**2 + 3*m**2) - 2*m**4 - 3*m**4 + 19*m**4. -7*m**4 - m**3 Expand (-1 + 3 + 1)*(-g - g + 0*g)*(39*g**3 + 25*g**3 + g**3). -390*g**4 Expand 85*m**3 - 31*m**3 + 2 - 66*m**2 - 56*m**3 + (2*m**3 - 2*m**3 - m**3)*(-3 - 2 + 3) + m**3 + m**3 + 0*m**3. 2*m**3 - 66*m**2 + 2 Expand (-7*x**3 - 5*x**3 + 3*x**3)*(-18 - 15 - 109 - 6 + 2). 1314*x**3 Expand (2*w**2 + 217*w**4 - 214*w**4 + 0*w**2)*(4 - 1 - 2)*(5 - 3 + 0). 6*w**4 + 4*w**2 Expand -3*r**5 - r**5 + 5*r**5 + (4*r - 4*r + 5*r**2)*(-4 + 0 + 0)*(-r**3 - 3*r**3 + 5*r**3). -19*r**5 Expand (2*x + 2*x - 6*x)*(-4*x + 5*x - 3*x) - 2*x**2 - 3*x**2 + 3*x**2 - 6*x**2 - 6*x**2 + 18*x**2 + 0*x**2 + x**2 - 4*x**2. 5*x**2 Expand (-6*l**2 + 4*l**2 + 3*l**2 + (0*l - l + 5*l)*(3 - 2*l - 3))*(8 - 4 + 4)*(-1 - 4 + 0). 280*l**2 Expand (0 + u**2 + 0)*(0*u + u + 13*u)*(-1 - 1 + 1). -14*u**3 Expand -2 + 2 - 2*j**5 - j**4 + j**4 - j**5 + (-j + 1 - 1)*(-1 + 1 + j**4) + 3*j**3 - 3*j**3 - j**5 + (-329*j**5 + 180*j**5 + 39*j**5)*(0 + 1 + 1). -225*j**5 Expand (-6*t - 7 + 7)*(-12 + 2 + 1). 54*t Expand (9 - 2 + 12)*(-10*d + 10*d - 1 - 4*d**2). -76*d**2 - 19 Expand -3*z**2 + 2*z**5 + 2*z**2 - 3*z**5 + (-44 - 19 - 5)*(0*z + 3*z**5 + 0*z). -205*z**5 - z**2 Expand (0*h**3 + 3*h**3 + h**3 + 0*h**3 + 5*h**3 - 3*h**3 + (h + 0*h + 0*h)*(-16*h**2 - 17 + 17))*(2*h - h + h - 1). -20*h**4 + 10*h**3 Expand -4*r + 0*r + 5*r + (8 + 0 - 3 + (-2 - 1 + 5)*(2 + 0 + 0))*(-2 - 2*r + 2). -17*r Expand (-4 + h + 4)*(0*h + 5*h + 0*h + (-2*h + 0*h + h)*(-3 + 0 + 4) + 2*h + h - h) + 4220 - 4220 + 45*h**2. 51*h**2 Expand (3 - 4 - 6*o + 3)*(-2*o**2 - 9*o**3 - 3 + 3*o**3 - 3). 36*o**4 - 4*o**2 + 36*o - 12 Expand -y**2 + y**2 + 4*y**2 - 2*y**2 + 5*y - 5*y + 1 + y**2 - 1 + (-1 - 2 + 4)*(2*y**2 - y + y) + (8 - 2 + 13)*(1 - 1 - y**2). -14*y**2 Expand (20 + 9 - 11)*(1 - 1 - 3)*(-3*f + f + 0*f) + 3*f + 0*f - 5*f + (1 + 2 - 5)*(-2*f + 3*f + 0*f). 104*f Expand (-2*u - 3 + 3 + 0*u + u + 0*u + (-6 + 2 + 5)*(-2*u + 3*u + u))*(43*u - 43*u - 10*u**2). -10*u**3 Expand -2*h + 7*h + 12*h + 4*h + 40*h + 20*h + (h - 5*h + 2*h)*(-1 + 2 + 1). 77*h Expand (1 - 11 - 3)*(-60*o + 96*o - 53*o)*(-4 + 5 - 3 - 1 - 4 + 4 + (1 + 0 - 3)*(-2 - 3 + 3) - 1 - 3 + 5 + 2 - 2 + 2). 884*o Expand (-2*r + 2*r - r)*(0*r**3 + 2*r**3 - 4*r**3) + (-3*r**2 + 4*r**2 + 0*r**2)*(-5*r**2 + 4*r**2 + 15*r**2). 16*r**4 Expand (4*c**3 - 2*c**3 + 4*c**3)*(-3*c**2 - c**2 + 2*c**2) + (-3*c - c + 5*c)*(0*c**4 - 2*c**4 - c**4). -15*c**5 Expand (-3*j**2 - j**2 + j**2)*(-4 + 4 - j) + 7*j**3 - 1592*j + 1592*j + (3*j - j - j)*(2*j**2 - j**2 + j**2). 12*j**3 Expand (i**4 - i**4 - i**4)*(-28 + 19*i + 28)*(4 + 0 + 0) + (0*i**4 + 3*i**4 - i**4)*(0 + i + 0). -74*i**5 Expand (-14*b - 21*b + 11*b)*(-1 - 19 - 1)*(-4 + 0 + 2). -1008*b Expand (-2*f + 56*f + 20*f)*(-31*f - 4*f**2 + 31*f) + (-f - 5*f + 4*f)*(f**2 + 2*f**2 - f**2). -300*f**3 Expand (2*x**4 - x**4 + 0*x**4)*(316 - 9 + 1). 308*x**4 Expand -18*o**2 + 16*o**2 + 3*o**2 + 3*o**3 - 1 - 3*o + (3*o - 1 + 1)*(-2*o**2 - 2*o**2 + 2*o**2). -3*o**3 + o**2 - 3*o - 1 Expand r - r**5 - r + 4*r - 4*r + r**5 + (4*r**4 - 3*r**4 + 0*r**4)*(-r + 0*r + 3*r) - r**5 + 3*r**5 - r**5 + 4*r**5 + 0 + 0 - 77*r**3 + 77*r**3 + 13*r**5. 20*r**5 Expand (14 - 11*u**2 - 14)*(16*u**2 - 8*u**2 - 7*u**2 + 6). -11*u**4 - 66*u**2 Expand ((-m - m + m)*(-2*m + m + 3*m) + 0*m**2 + 3*m**2 + m**2 - 3*m**2 + 5 - 5)*(-5*m + 4*m + 2*m)*((0*m + 2*m + 2*m)*(3 - 4 + 2) + 2*m - 6*m + 2*m). -2*m**4 Expand (5*l + 0*l - 4*l)*(-3 + 7 + 0 + (40
{ "pile_set_name": "DM Mathematics" }
3, 32 Sort -3/5, -1, -9, -2, -11. -11, -9, -2, -1, -3/5 Put 0.5, -1, -3, 2 in decreasing order. 2, 0.5, -1, -3 Sort 1/2, 2/9, 0.3783 in descending order. 1/2, 0.3783, 2/9 Put -2, 2, 7, 4, 8 in decreasing order. 8, 7, 4, 2, -2 Sort -4, -191, -5 in ascending order. -191, -5, -4 Put -1/9, 0, 100, -5 in decreasing order. 100, 0, -1/9, -5 Sort -0.4, -0.1, 5, -0.3, -0.192 in decreasing order. 5, -0.1, -0.192, -0.3, -0.4 Put 1, -782, 2 in descending order. 2, 1, -782 Sort 2/3, 4, 0.4, -0.5 in descending order. 4, 2/3, 0.4, -0.5 Put -16, -2, -6, -4 in descending order. -2, -4, -6, -16 Sort 2/5, 1/3, -0.03. -0.03, 1/3, 2/5 Sort 8, 9, -1. -1, 8, 9 Sort -44, -5, -48 in descending order. -5, -44, -48 Put -1/4, 5, -3, 0.4 in decreasing order. 5, 0.4, -1/4, -3 Sort -2, -1, 119 in descending order. 119, -1, -2 Put -7, -5, -11 in descending order. -5, -7, -11 Sort -3, -1, 0, 2250, 1 in decreasing order. 2250, 1, 0, -1, -3 Sort -2, 2, 89, 4 in ascending order. -2, 2, 4, 89 Sort -5, 0.51, -2/3. -5, -2/3, 0.51 Sort 7, -4, -3 in descending order. 7, -3, -4 Sort 4, -15, 25, -0.5 in decreasing order. 25, 4, -0.5, -15 Sort -2, 6, 0, 3, -3 in descending order. 6, 3, 0, -2, -3 Sort -7, 0, 3, -5. -7, -5, 0, 3 Sort 1, 0, 4, -3 in decreasing order. 4, 1, 0, -3 Put -34, 3, -1 in increasing order. -34, -1, 3 Put -2/7, 3/8, 1 in decreasing order. 1, 3/8, -2/7 Sort 11, -6, -5. -6, -5, 11 Sort -88, -1, 138. -88, -1, 138 Put -4, -1/14, -0.8, -1 in decreasing order. -1/14, -0.8, -1, -4 Put 1, -3, -54 in increasing order. -54, -3, 1 Sort -5, 0, 28. -5, 0, 28 Put -0.1, -0.2, 0.121, 1 in decreasing order. 1, 0.121, -0.1, -0.2 Put -4, -9, -5 in decreasing order. -4, -5, -9 Put 45, 2, -2, -8 in increasing order. -8, -2, 2, 45 Put -2, 3, -65, 2/13, -39 in descending order. 3, 2/13, -2, -39, -65 Put 1/3, 207, 4 in decreasing order. 207, 4, 1/3 Sort -3/4, 9, 1 in descending order. 9, 1, -3/4 Put -4, 3, 1, -26 in decreasing order. 3, 1, -4, -26 Put 84, -1/33, 4 in descending order. 84, 4, -1/33 Sort 18, -9, 0. -9, 0, 18 Sort -2/9, 3, 28. -2/9, 3, 28 Sort -2, -19, -5, -4 in descending order. -2, -4, -5, -19 Sort 1, -1, -2, -19 in descending order. 1, -1, -2, -19 Sort 3, 9, 16, -4/9 in descending order. 16, 9, 3, -4/9 Put 1/12, -11/3, 6, -3/8 in increasing order. -11/3, -3/8, 1/12, 6 Sort -30, -15, 5. -30, -15, 5 Put -3, -606, 3 in decreasing order. 3, -3, -606 Sort -35, 5, 4, 1 in decreasing order. 5, 4, 1, -35 Sort 4, 2, -217, -2 in descending order. 4, 2, -2, -217 Sort 45, 1, 5, 4 in decreasing order. 45, 5, 4, 1 Sort -5, 2, 3, 13 in increasing order. -5, 2, 3, 13 Put 0, 0.1, -349 in increasing order. -349, 0, 0.1 Sort -1/6, -0.3, 0.05, -5, 5/4 in increasing order. -5, -0.3, -1/6, 0.05, 5/4 Sort 0, 102, -7, 2. -7, 0, 2, 102 Sort 2/67, -0.4, 1/5, 12.5. -0.4, 2/67, 1/5, 12.5 Put -4, 0, -3, 4 in increasing order. -4, -3, 0, 4 Put 5/3, -0.9, -3 in descending order. 5/3, -0.9, -3 Sort 0, -1/4, 5, 1/46. -1/4, 0, 1/46, 5 Sort 6, -5, 682, -4. -5, -4, 6, 682 Put -5, 0, 5, 4 in descending order. 5, 4, 0, -5 Sort -4, 5, 4 in ascending order. -4, 4, 5 Put -2/9, -0.4, -10, 1/10 in descending order. 1/10, -2/9, -0.4, -10 Put -1, 4/3, -10.01 in descending order. 4/3, -1, -10.01 Sort -2, -6, -4, 60, 2 in descending order. 60, 2, -2, -4, -6 Put -7, 2, 1.9 in descending order. 2, 1.9, -7 Sort 4, -10, 30 in ascending order. -10, 4, 30 Put 4, 149, 15 in increasing order. 4, 15, 149 Put -0.31, 2, 4, -2/15, -4 in decreasing order. 4, 2, -2/15, -0.31, -4 Sort 0, -0.2, -3, 2, -3/2 in descending order. 2, 0, -0.2, -3/2, -3 Sort -1/2, 1/19, 1501 in decreasing order. 1501, 1/19, -1/2 Put -0.4, -0.02, 1665 in increasing order. -0.4, -0.02, 1665 Put 0, -2, -16 in decreasing order. 0, -2, -16 Sort -2/11, 5, -4, -9 in descending order. 5, -2/11, -4, -9 Put -35, 2, 21 in decreasing order. 21, 2, -35 Sort -2, -544, 2, 2/15 in increasing order. -544, -2, 2/15, 2 Put 0, -2/9, 2/9, 3/4 in decreasing order. 3/4, 2/9, 0, -2/9 Sort 290, 3, -0.5, -4/9 in increasing order. -0.5, -4/9, 3, 290 Put -1, 4, 0, -2 in descending order. 4, 0, -1, -2 Sort -9, 2, 0, -2, -3 in increasing order. -9, -3, -2, 0, 2 Sort -3, 5, -5 in increasing order. -5, -3, 5 Sort 76, 1/3, 0.08 in decreasing order. 76, 1/3, 0.08 Sort 6, 1.5, 1 in descending order. 6, 1.5, 1 Put 3, 5, -4, 16 in decreasing order. 16, 5, 3, -4 Sort 0, -1, 41. -1, 0, 41 Put 1, 2, -96, -3 in increasing order. -96, -3, 1, 2 Put 5, 1, -0.61, -4 in ascending order. -4, -0.61, 1, 5 Sort -7, 8, -5, 0, -3 in decreasing order. 8, 0, -3, -5, -7 Sort 5, 0.4, -80. -80, 0.4, 5 Put 2, -32, 5, 12 in increasing order. -32, 2, 5, 12 Sort 0.5, -2/21, -4, -1. -4, -1, -2/21, 0.5 Sort -78, -2, -2/5, 0.4. -78, -2, -2/5, 0.4 Put -4, 5, 1, 63, -1 in decreasing order. 63, 5, 1, -1, -4 Put 6, -1, 5, -4 in decreasing order. 6, 5, -1, -4 Put 4, -4, -3, 6 in increasing order. -4, -3, 4, 6 Put 53, 2, -3 in descending order. 53, 2, -3 Sort 1/5, 0.3, -9, -2/11 in ascending order. -9, -2/11, 1/5, 0.3 Sort 5/2, -3, -30 in descending order. 5/2, -3, -30 Sort 3, 31, -3 in descending order. 31, 3, -3 Put -45, 5, -23 in ascending order. -45, -23, 5 Put 0.5, -0.3, 5/14, 17 in decreasing order. 17, 0.5, 5/14, -0.3 Sort 2, 3, -2, -8 in decreasing order. 3, 2, -2, -8 Sort -3, -5, 324 in decreasing order. 324, -3, -5 Sort 1, -4, 9 in ascending order. -4, 1, 9 Put 3, -735, 4 in descending order. 4, 3, -735 Put -4, 0, 0.177, 1/2 in ascending order. -4, 0, 0.177, 1/2 Put -146, -13, -4 in increasing order. -146, -13, -4 Put -4, -2, 0, -8 in decreasing order. 0, -2, -4, -8 Sort 2, -1, -55, 3. -55, -1, 2, 3 Put 1/3, 4/7, -3, -0.6 in increasing order. -3, -0.6, 1/3, 4/7 Sort 1/4, 0.1, -0.2, -0.06 in increasing order. -0.2, -0.06, 0.1, 1/4 Sort -3, -8, 0.4, 2/13. -8, -3, 2/13, 0.4 Sort 3, 1, -307 in ascending order. -307, 1, 3 Sort 5, 3, 0, -7 in ascending order. -7, 0, 3, 5 Put -0.1, -11, -2/175 in decreasing order. -2/175, -0.1, -11 Sort 5, -2, 191, -3. -3, -2, 5, 191 Sort 0, -2, 23, 1. -2, 0, 1, 23 Sort -5, -2, 1, 0 in ascending order. -5, -2, 0, 1 Put 2/13, -2/5, -4, -0.33 in descending order. 2/13, -0.33, -2/5, -4 Put 16, -5, -17, 3 in decreasing order. 16, 3, -5, -17 Put -4, -5, 0, 2, 189 in decreasing order. 189, 2, 0, -4, -5 Sort 1, 4, -6, -1, 0. -6, -1, 0, 1, 4 Put -48, 2/9, 3, -2/7 in increasing order. -48, -2/7, 2/9, 3 Put -3, 7, 5, -2, 69 in decreasing order. 69, 7, 5, -2, -3 Put -4, 8, 6 in descending order. 8, 6, -4 Put -4, -1, -3, 26, -5 in descending order. 26, -1, -3, -4, -5 Sort 4, 2/7, -18/7 in ascending order. -18/7, 2/7, 4 Sort -1, -2, 3 in increasing order. -2, -1, 3 Put -3, -4, -5, -1, 2 in decreasing order. 2, -1, -3, -4, -5 Sort 1.4, -0.1, -3, 4 in ascending order. -3, -0.1, 1.4, 4 Put 3, -1, 41, -5 in decreasing order. 41, 3, -1, -5 Sort 1, -6, -0.3, 7, -5 in ascending order. -6, -5, -0.3, 1, 7 Sort 0, -0.4, 7 in increasing order. -0.4, 0, 7 Sort 4, -1, 3, 2, 1 in decreasing order. 4, 3, 2, 1, -1 Put 0, 2, 5, 1, 53 in increasing order. 0, 1, 2, 5, 53 Put 2, 1, 3, 1583 in increasing order. 1, 2, 3, 1583 Sort -4, -1, 1, 2/7 in decreasing order. 1, 2/7, -1, -4 Put -30, 3, -5 in descending order. 3, -5, -30 Sort -48, 4, -5 in descending order. 4, -5, -48 Put 5/4, -2/3, -10/63 in increasing order. -2/3, -10/63, 5/4 Sort 5, 2, 100, -3 in decreasing order. 100, 5, 2, -3 Put 3, -50, 5, 2 in decreasing order. 5, 3, 2, -50 Put 5, -20, -5/3 in descending order. 5, -5/3, -20 Sort -2/3, -2/11, 0.5, 5. -2/3, -2/11, 0.5, 5 Put -6, 4, -3, 720 in increasing order. -6, -3, 4, 720 Put -0.9, 0.4, -4 in ascending order. -4, -0.9, 0.4 Sort -7, 5, 30, -3, 0 in decreasing order. 30, 5, 0, -3, -7 Sort 3, -6, -5 in decreasing order. 3, -5, -6 Put -1, 4, 0, -28 in decreasing order. 4, 0, -1, -28 Sort 3, 1/7, 2/3, 2 in descending order. 3, 2, 2/3, 1/7 Put 3, 6, -1, 2 in decreasing order. 6, 3, 2, -1 Sort 38, -2, 8, -5 in increasing order. -5, -2, 8, 38 Sort 0, 63, -20 in decreasing order. 63, 0, -20 Put 21, -4, 2 in decreasing order. 21, 2, -4 Sort 4, 17, -1, -2, -5 in increasing order. -5, -2, -1, 4, 17 Sort -4/5, 0.1, 0, -2/7, 1 in descending order. 1, 0.1, 0, -2/7, -4/5 Sort 1, -0.2, -13.6 in increasing order. -13.6, -0.2, 1 Put 6, -4/11, 4, 5/6 in descending order. 6, 4, 5/6, -4/11 Put 72, 5, -4, 1 in descending order.
{ "pile_set_name": "DM Mathematics" }
*c**3 + 495*c**3 - 215*c**3 - 1 to o*c + j*c**2 + q*c**3 + r and give r. -4 Express (-302 + 356 - 175)*(2*s + 2*s - 5*s)*(s + 2*s - 6*s) - s**2 + 3*s**2 - s**2 as b + f*s**2 + o*s and give f. -362 Express (0 - 2 + 4)*(-x - 2*x + 0*x) - 69 + 514*x + 69 in the form f*x + i and give i. 0 Rearrange -872*t**2 - 406*t**2 - 105*t**2 - 181*t**2 to the form g*t + m + a*t**2 and give a. -1564 Rearrange 5*j**3 + 2*j - 5*j**4 - 5 - 2*j + 0*j - 4*j**3 - 3*j to t*j**3 + z + s*j**4 + x*j + r*j**2 and give x. -3 Rearrange (-1 - 7*j + 1 + 4*j + 0*j - 2*j + (-2*j - j + 4*j)*(-2 + 2 - 1) + 39 - 39 - 32*j + 0*j - j + 2*j)*(5 - 3 + 2) to the form o + g*j and give g. -148 Rearrange 1 - 25 + 3 + 5 + 3*g + 17*g to the form h + y*g and give h. -16 Rearrange (-2 + 3 + 2)*(-220*b - 115*b - 172*b + 3*b - 2*b - 3*b + (2 + 1 - 1)*(0*b - 3*b + 2*b) - 2*b - b + b) to y*b + o and give y. -1539 Express -2*a**2 - 3*a**3 + 6*a**3 - 2*a**3 - 3 - 13*a + 16*a in the form y + b*a + v*a**3 + t*a**2 and give b. 3 Rearrange j**3 + 2*j - 2317*j**2 - 2 + 2317*j**2 to the form i*j + y*j**3 + k*j**2 + r and give r. -2 Express -55*q + 48*q - 9 - 3 as l + u*q and give l. -12 Rearrange 10*o + 5*o + 9*o + 2*o**3 to the form p*o**3 + l + n*o + t*o**2 and give t. 0 Express -2*w**3 - 54 + 10*w**4 - 2*w + 3*w**3 + 55 in the form q*w**3 + g + p*w**4 + t*w**2 + j*w and give g. 1 Rearrange 2*x**3 - x - 90*x**2 - 5 + 89*x**2 - 2*x - 1 to n*x**3 + w + f*x**2 + k*x and give k. -3 Express (-31*v + 11*v - 17*v)*(2*v + 2*v + 5*v) as k*v + h + u*v**2 and give u. -333 Rearrange (5*i - 5*i - i)*(-3*i + 0*i + 4*i) + 2*i**2 + 2*i**2 - 2*i**2 - 99*i**2 + 61 - 61 to m + v*i**2 + o*i and give v. -98 Express -4*y**2 - 2*y**4 + 14*y + 0*y - 2*y - 3*y + 1 + 5*y**2 in the form r*y**4 + f*y**2 + i + a*y**3 + n*y and give r. -2 Express (1 + 1 - 1)*(-10 + 10 - 10*b)*(0 + 22 - 1) as l + v*b and give v. -210 Rearrange -3*f**2 - 2*f**2 + 1 - 4*f**2 - 25 + 6*f**2 to h*f + v + o*f**2 and give v. -24 Rearrange 13*o**2 - o + 27*o**2 - 18*o**2 - 3*o - 2*o to s + q*o**2 + m*o and give m. -6 Rearrange -9767 - 118*n**2 + 9767 - 7*n to x*n + h*n**2 + w and give x. -7 Rearrange 121*r**2 - 1 - 306*r**2 - 1531*r + 1530*r to p*r + l + t*r**2 and give t. -185 Express -40*t**2 + 64*t**2 + 118*t**2 + 114*t**2 as s + w*t + a*t**2 and give a. 256 Rearrange (3*w - 5*w + 3*w)*(33*w - 5*w + 2*w) to t*w + h + a*w**2 and give a. 30 Express (-4*a + 3*a + 3*a)*(12 - 185 - 102) as o + g*a and give g. -550 Express -18 - 5*l**2 + 4*l**2 + 12 - 7*l**2 - 5 in the form u + w*l + m*l**2 and give m. -8 Rearrange 10 + 18 + 17*f - 38 + 14 to z + x*f and give z. 4 Rearrange 38 - 23 + 254*x**2 - 15 + 195*x**2 to the form m*x + q*x**2 + a and give q. 449 Express 1318*k**3 - 2 - k**2 - k**2 + 1 - 1319*k**3 in the form j + d*k + w*k**2 + z*k**3 and give w. -2 Rearrange 7*z**3 + 16 + 11*z + 52*z - 18 - 6*z**3 - 2*z**2 to y + q*z**2 + h*z**3 + s*z and give s. 63 Express (-43*g - 1074 + 1074)*(22 + 5 - 3) + 6*g - 3*g - 2*g - 1 - g + 1 + (0 - 4 + 2)*(0*g + 0*g - 2*g) in the form l*g + y and give l. -1028 Rearrange (3*m**2 - m**2 - m**2 + (2*m**2 - 2*m**2 + m**2)*(3 - 5 + 3))*(-5*m - 5*m + 3*m) + 0 + 9*m**3 - 2 + 0 to s*m + a*m**2 + y + t*m**3 and give t. -5 Express (j**2 - 1 + 2*j**2 - j**2)*((-83 - 12 - 48)*(-1 + 1 - 2) + 0 - 1 + 0) in the form z*j + v + k*j**2 and give v. -285 Express (-3*i + 3*i + 3*i**3)*(3 - 4 + 2) + 3 - i**2 + 2*i + 31*i**3 - i**2 - 25*i**3 in the form n*i + w + s*i**2 + v*i**3 and give v. 9 Rearrange (-3*v**2 + 4*v**2 + 0*v**2)*(44 + 32*v + 17*v - 48*v) to m*v + b*v**3 + l*v**2 + w and give l. 44 Express 126*i**3 + i**2 + 1 - 54*i**4 - 270*i**3 + 143*i**3 + 5*i in the form d*i**3 + b*i + q*i**4 + p + v*i**2 and give p. 1 Rearrange (-5*w - w + 3*w)*(11 - 72 - 49 + 23) to x + v*w and give v. 261 Rearrange -2553*q + 1264*q + q**2 - 3*q**2 to the form s*q + v + t*q**2 and give s. -1289 Express (-1 + 2 + 0)*(3*p**2 - 3*p**2 + 3*p**4) - 84*p**2 + 78*p**2 - 2*p**4 - 181*p**2 in the form j*p + t*p**4 + a*p**2 + g*p**3 + d and give g. 0 Express (5*s + 0 + 0)*(4 - 2 + 0) - 8 + 5 - 5*s - 3 in the form d*s + a and give d. 5 Rearrange 2*u + 8*u - 25*u - 15*u + (-3 + 3 - 2)*(5 - 5 - 3*u) + 0*u - 3*u + u to o*u + q and give o. -26 Express 3*y - 14*y**2 + y**2 + 0*y + 10*y**2 - 2*y - 116 as h*y + p + v*y**2 and give v. -3 Express (q**2 - 5*q**2 - q**2)*(-3*q**2 - 2*q**2 + q**2) + 27 + 35*q**4 - 27 + q**4 - q**4 + 2*q**4 in the form z*q**2 + p*q + r*q**3 + l + i*q**4 and give l. 0 Express 696*n - 696*n - 269*n**2 as f*n + h*n**2 + u and give h. -269 Express 177 + 171 - 348 - 145*m as i + v*m and give v. -145 Rearrange ((1 + 3 - 2)*(-5*n + 3*n + 3*n) + 4*n - n - n)*(568 - 373*n - 21*n - 566) to p + o*n**2 + r*n and give o. -1576 Express (2*v + 3 - 6 + 1)*(-4 - 65 + 281) in the form j + x*v and give x. 424 Express -147*p - 314*p - 160*p + 95*p - 437*p as d*p + o and give d. -963 Express -15197*y + 30331*y + 1 - 15266*y in the form o + t*y and give o. 1 Express (-6 + 11 + 7)*(-5 + 3 - 2)*(-2 + 2 + 4*d) as h*d + l and give h. -192 Rearrange (a + a + a)*(0 - 2 + 1 - 3 + 4 + 0 + (4 - 2 - 1)*(2 - 1 + 1) - 5 + 1 + 3 + 2 - 2 + 1) to the form p + j*a and give j. 6 Rearrange 17*d**2 + 0*d**2 + 4 + 2839*d - 2839*d to m*d + w + q*d**2 and give q. 17 Express -p**3 - 7*p**2 - 2*p**2 - 6*p**2 + 3*p**2 in the form h*p + d*p**3 + w*p**2 + m and give w. -12 Rearrange -64*p - 87*p + 5*p - 40*p - 102*p to the form t + d*p and give d. -288 Rearrange 3*z**2 - 27*z - 7*z**3 + 25*z - z**4 - 4*z**2 + 2 to t*z**2 + i + o*z**4 + n*z**3 + a*z and give i. 2 Express -2*x + 1 + 16*x**3 - 1 - 405*x**4 + 376*x**4 in the form p*x**4 + l*x**2 + m*x + g + y*x**3 and give y. 16 Rearrange (-569 - 855 - 504 + 55)*(-3*l + 3*l - 2*l) to the form z + o*l and give o. 3746 Express (218 + 161*p**2 - 32*p**2 + 192*p**2 - 218)*(p**2 + p**2 - 4*p**2) as y*p + z*p**2 + j + h*p**3 + r*p**4 and give r. -642 Rearrange (-3*v - v + 2*v)*(-71*v - 47*v + 26*v) to c*v + b + k*v**2 and give k. 184 Rearrange 14*w + 38*w - 89 + 89 to the form k + h*w and give h. 52 Rearrange (-4*a + 10*a - 19*a)*(a - a - 4*a**2) to the form u*a**3 + b + q*a + m*a**2 and give u. 52 Rearrange 173*y - 5 + 2 + 1 - 486*y to k + s*y and give s. -313 Express (7 - 4*f - 7)*(-2 - 3 + 3) - 10*f + 3*f + 4*f as b + a*f and give a. 5 Express -72*o**3 - 46*o - 16*o**2 + 45*o + 18*o**2 as y*o + w*o**3 + j*o**2 + p and give y. -1 Express 189*p**3 - 2*p + 10 - 10 + 1 in the form y*p + f*p**3 + t*p**2 + c and give c. 1 Express (2 - 6 + 3)*(-u**2 - u**2 - 3*u**2)*(-1 + 5 - 3)*(3*u + 0 + 0 + (-3 + 2 + 9)*(-1 - u + 1) + 2 + u - 2) in the form n*u + d*u**3 + h + v*u**2 and give d. -20 Rearrange 4*g**2 - 279*g - 5*g**2 + 281*g + 6*g**3 + 2*g**2 to v*g**3 + l + w*g + o*g**2 and give l. 0 Express 6*i + 2 - 15*i + 22*i + 19*i as q + o*i and give o. 32 Rearrange 832*u**3 + 15*u - 21*u - 803*u**3 to a*u + o + c*u**3 + n*u**2 and give o. 0 Express 3 - 3 - 415*r - 50*r + (-2*r + 5 - 5)*(-1 - 4 + 3) + r + 2*r - 5*r - 6*r + 3*r + 2*r - r + 0 + 0 + (-3 - 4 + 5)*(1 - 1 - r) as j*r + t and give j. -463 Rearrange 4*q**2 + 3*q**2 - 5*q**2 + (q - 2*q - 3*q)*(-373*q - 404*q - 228*q) to h*q + w + k*q**2 and give k. 4022 Rearrange (-j - 2*j + 4*j)*(3*j - 2*j + 0*j) + 2 + 7*j**2 - 2 + (3*j - j + j)*(-10 + j + 10) + 5*j**2 - 2*j**2 - j**2 to the form p + a*j + k*j**2 and give k. 13 Express -24*n - 92*n - 153*n + 65*n in the form v*n + p and give v. -204 Express -176 + 50 + 3*w + 53 as d*w + o and give d. 3 Express (-3*b**2 - 5*b**2 - 3*b**2)*(-8*b + 6*b - 24*b)*(-4 + 2*b + 4) as n*b**3 + j*b**2 + f + l*b**4 + a*b and give l. 572 Rearrange (2 - 5 + 1)*(z - z - z) + (z - 5*z + 26*z)*(-13 + 0 - 7) + 1 - 1 + 2*z to the form y + o*z and give y. 0 Rearrange (-p**2 + 0*p**2 + 2*p**2)*(2*p - 3*p + 0*p) + 2*p**3 - 343*p + 385*p + p**3 to n*p**2 + y*p + u*p**3 + z and give u. 2 Express (z + 1 - 1 - 2*z + 3*z + z - 5*z + 5*z - z + (5 + 0 - 2)*(0*z + 0*z - z) - 1 - 2*z + 1 + 3*z + 3*z - 7*z)*(0 + 0 + 3*z) as o*z + h*z**2 + s and give h. -12 Express (46*z - 66*z - 68*z)*(4 - 6 + 1)*(-4*z - 2*z + 4*z) as u*z + l + s*z**2 and give s. -176 Rearrange 1 + 17 + 4*n - 5*n - 1 to b*n + s and give b. -1 Express v**3 - 4 + 4*v - 2*v - 2*v**2 + v**4 + 12*v + 0*v**3 + 3*v**2 in the form g*v**4 + h*
{ "pile_set_name": "DM Mathematics" }
ose -2*v + 3*b = 5*b - 10, 4*b = 2*v + 8. Let i(r) = r**2 - 6*r + 8. Suppose -9 = -3*d - 0. Let t be i(d). Put -5, t, v in ascending order. -5, t, v Let c be ((-9)/5)/(9/(-30)). Let r be 12/(-54) - (-4)/c. Put 3, r, 1/3 in ascending order. 1/3, r, 3 Suppose 0 = 4*u, 5*p = -5*u - 4 - 21. Let l(m) = -m**3 + 18*m**2 + 17*m + 39. Let d be l(19). Suppose 0*v = 3*v - 9. Sort d, v, p in increasing order. p, d, v Let x = -0.3 + -0.7. Let n = -94.4 - -93. Let v = n - -1. Sort x, v, 0.02. x, v, 0.02 Let p = -5 + 10. Let b = -360 + 362. Suppose -2*m + 3 - 7 = 0. Put b, m, p in increasing order. m, b, p Suppose 24 = 2*a + 2*j, 3*a = -0*a + 2*j + 31. Let q be 5/15*(a - -1). Put 6, 3, q in descending order. 6, q, 3 Suppose 7 = 2*f - 3. Let m = -33 - -34. Put f, m, -0.5 in increasing order. -0.5, m, f Let r be (-2)/52*(-5 + 9). Let t = 44 - 47. Sort r, 0.01, -2, t. t, -2, r, 0.01 Let z be -8*(14/(-4))/7. Suppose -90*g + 84*g - 12 = 0. Put z, 5, g in descending order. 5, z, g Let s = -26.5 - -29.5. Sort s, 0.21, 1/2. 0.21, 1/2, s Suppose 7*z - 28 = -14. Suppose 0*n - 2*n + 6 = 0. Suppose 5*y - 4*m = -z, 3*y + 3*m = 4*m + n. Sort y, -1/7, 0 in increasing order. -1/7, 0, y Suppose 15 = -5*c - 2*t - 4, -2*t = 4*c + 16. Sort 0, -2, c in descending order. 0, -2, c Let i(c) = -c**2 - 2*c - 1. Let x be i(-4). Let q = -246 + 248. Sort -4, q, x in ascending order. x, -4, q Let v = 1.318 - -5.082. Sort v, -0.3, 0 in decreasing order. v, 0, -0.3 Let o = 7.533 + -0.033. Let d = -4.5 + o. Put 11, d, 1/2 in decreasing order. 11, d, 1/2 Let f = -415 - -410. Sort f, 2, 12. f, 2, 12 Let c = 0.23 - 3.23. Sort c, -17, -0.3, 2/7 in descending order. 2/7, -0.3, c, -17 Let x be (-3 - -3)*2/4. Let w be 276 - (-4)/8*x. Let f be w/(-66) + (-2)/(-11). Sort f, -5, 3. -5, f, 3 Let u = 23 + -19. Suppose u*f = -f. Suppose 2*n - 4*q = 20, f*n - 3*q = -n + 15. Put n, 2/15, 3 in decreasing order. 3, 2/15, n Let d = -13.22 + 0.22. Let s = d - -12.9. Put 0, -0.5, s, 0.5 in increasing order. -0.5, s, 0, 0.5 Let s = 1 + 3. Let d = -19 + 18. Suppose k + 4 = -3*p + 24, 0 = 5*k - p - 20. Sort s, k, d. d, s, k Let z = -0.83 - -0.91. Sort 0.07, -3, 1/4, z in descending order. 1/4, z, 0.07, -3 Suppose 0*c - 3 = 3*c. Let d be (c/(-2))/((-6)/(-120)). Suppose d = -2*s - 0*s. Sort 1, 5, s in decreasing order. 5, 1, s Let x(h) = h**3 - 11*h**2 + 11*h + 12. Let y be x(10). Let i be y/(-66) - 2/3. Put -3, i, 10, 2 in decreasing order. 10, 2, i, -3 Let l(j) = -3*j + 2. Let g = -102 - -48. Let u be 2/(-5) + g/90. Let n be l(u). Sort n, -5, -1 in descending order. n, -1, -5 Let x = 200/189 - 26/27. Let p = 1941/8 - 243. Put x, 5, p in increasing order. p, x, 5 Suppose -4*t - 2*n + 6 = 0, t + n - 1 = -0*t. Let z = 1380 - 1379. Sort z, 9, t in descending order. 9, t, z Suppose c = 5*t + 20, 2*t = -c + 5 - 20. Suppose 20 = -3*l + 2*l + 5*d, 0 = l - 3*d + 10. Let z = -16 + 19. Put c, l, z in ascending order. c, z, l Let s be (-1)/(-4) + 2 + (-285)/100. Put s, 0.5, 9/10, 1 in increasing order. s, 0.5, 9/10, 1 Let l = -1271 - -1271. Put -2, -2/9, 0.1, l in increasing order. -2, -2/9, l, 0.1 Suppose 22*y - 19*y - 3 = 3*d, d = -4*y - 6. Let m = 2 + -2.7. Let h = 4.3 - m. Put y, h, 1 in descending order. h, 1, y Let z = 41 - 55. Suppose -42 - 34 = -5*w - q, 0 = 3*w - q - 52. Let g = z + w. Sort g, 5, -4 in decreasing order. 5, g, -4 Let t = -55/252 + -2/63. Sort t, 5, 1, -1/6 in decreasing order. 5, 1, -1/6, t Let p(o) = -o**3 - 3*o**2 - 3*o - 6. Let a be p(-3). Let r = a + -7. Sort r, 5, 0, -5 in increasing order. -5, r, 0, 5 Let n = 8 - 6. Suppose 8*w - 5*w - m - 19 = 0, 4*w + n*m = 12. Suppose -w = 7*r - 2*r, -v = -2*r - 6. Put v, 0, -3 in ascending order. -3, 0, v Let t = 7 + -2. Let j = -53 + 33. Let n be (2/3)/(j/30). Sort 3, t, n in ascending order. n, 3, t Let o = -26.3 - -31.3. Sort -1, -22, -2/5, o. -22, -1, -2/5, o Let s be (-1*(-8)/(-20))/(936/(-314)). Let z = 4/117 - s. Sort -2, 5, -3, z in descending order. 5, z, -2, -3 Let b = 200 + -1798/9. Put b, 1/5, -1/4, 0.3 in increasing order. -1/4, 1/5, b, 0.3 Suppose 17*f = 4*f - 1404. Sort f, 2, -1 in ascending order. f, -1, 2 Let q = 40/3 + -15. Let v = 47.9 + -49. Let k = v - -0.8. Put q, k, -3/7 in ascending order. q, -3/7, k Let d = 5 - 13. Let s be (-1)/(-2) + (-36)/d. Let a be (5 - s) + (-2 - 0). Sort -5, -1, a. -5, a, -1 Let j = 64 - 64.14. Let l = j + -2.86. Let d = -1.1 - -0.1. Put d, l, 1/11 in increasing order. l, d, 1/11 Suppose s = -5*c - 2 - 6, -s + 2 = 3*c. Sort -16, s, 0 in descending order. s, 0, -16 Let g(o) = o + 2. Let x be g(1). Suppose 2*i + 12 - x = 3*w, 0 = 3*i - 9. Sort 10, 2, 3, w in increasing order. 2, 3, w, 10 Let k(t) = 1 - 6 - t - 4 + 2. Let w be k(-2). Sort 3, w, 1 in decreasing order. 3, 1, w Suppose -146 = 11*q - 179. Put -4, -1, q, 1 in ascending order. -4, -1, 1, q Let j = -713 - -702. Put -0.4, 21, j in increasing order. j, -0.4, 21 Let x(w) = -5*w**3 - 35*w**2 - 4*w - 30. Let n be x(-7). Let d = 95/21 - 27/7. Sort d, -4, -0.3, n in descending order. d, -0.3, n, -4 Let c = -352 - -347. Put -3, c, 53 in ascending order. c, -3, 53 Let m(f) = -f - 4. Let z be 2/8 + 68/(-16). Let w be m(z). Let u = -21 + 20. Sort -2, u, w in increasing order. -2, u, w Let j be (-6)/15 - 1788/30. Let g be j/(-8)*(-6)/(-9). Sort -5, 11, g in decreasing order. 11, g, -5 Let j be (-546)/(-210) - (-7)/5. Suppose -5*d - 5 = -20. Sort -5, d, j, 2 in decreasing order. j, d, 2, -5 Let t(h) = 13*h**2 + 25*h + 2. Let a be t(-2). Sort -1, -2, -15, a in decreasing order. a, -1, -2, -15 Let j(t) = 2*t + 16. Let a be j(-8). Sort -25, -5, a, 4. -25, -5, a, 4 Let o = -216 - -213. Let d be ((-1)/1)/(-1 - 0). Sort -4, o, d in descending order. d, o, -4 Let x = 188 - 172. Sort x, -1, 3, 2 in ascending order. -1, 2, 3, x Let p be 17/99 + (-45)/(-165). Put -0.7, p, 13/3 in descending order. 13/3, p, -0.7 Suppose 3*c = 5*v + 23, 0 = -5*c + c + 4. Let m = 2868 + -2851. Put m, -2, v in decreasing order. m, -2, v Let f be (0 + (-5)/4)*4. Let m = f - -10. Let p be (1 - 5)*(-63)/28 - 5. Sort m, p, 9 in descending order. 9, m, p Let i be ((-24)/21)/((-114)/(-21)). Sort i, -1/8, -4, -3/4 in descending order. -1/8, i, -3/4, -4 Let z be (-783)/(-435) + (1 - 22/(-10)). Let h be (4/6)/((-3)/9). Sort 2, 26, h, z. h, 2, z, 26 Let l be -7 + 3 - (4 - 1). Let g be 2/l + (-3)/(-42)*-66. Sort g, 1, 3, -2. g, -2, 1, 3 Let w(b) = -b**2 - 9*b - 7. Let v be w(-8). Suppose v + 9 = -2*x. Sort x, -4, 2 in decreasing order. 2, -4, x Let g be 11/(-5) + (1 - 20/25). Let n = 2 + -10. Let c be 12/n*(-1 + -1). Put c, -3, g in descending order. c, g, -3 Let y = -1.5 - -1.7. Let w = -8 + 8.13. Let f = -0.43 + w. Sort 3, f, y in descending order. 3, y, f Let g be 112/(-48) - 4/6. Suppose 27 - 7 = 2*h. Sort 4, g, h in descending order. h, 4, g Suppose -5 = -5*l - 5*p, -2*l + 8*p - 7*p = 7. Let g = 1 + -4. Sort 2, l, g. g, l, 2 Suppose q + 18 = 4*n, 6*q = 5*n + q - 15. Let w be 3 - 1/(-3 - -2). Sort w, 15, -3, n. -3, w, n, 15 Let j = 2.2 - -0.8. Let w = 0.117 - 0.107. Let a = 4.8 + -5. Put a, w, j in descending order. j, w, a Let d be 27/(-15) + (48/40)/(-6). Sort -468, -4, d in descending order. d, -4, -468 Let s be (-5 - -1)/(4 - 22). Sort 1/3, -20, s in decreasing order. 1/3, s, -20 Let w(p) = 4*p**2 - 8*p + 3. Let h(d) = 7*d**2 - 15*d + 7. Let q(s) = 3*h(s) - 5*w(s). Let n be q(4). Put -3, n, -1, 9 in increasing order. -3, -1, n, 9 Let k = -21.85 + 22. Let h = 11.85 + k. Let j = 15 - h. Sort 2/21, j, 2. 2/21, 2, j Suppose 5*b - 8 + 3 = 0. Let x(l) = 2*l + 4. Let j be x(-4). Let k be (j/16)/(2/(-16)). Sort -3, b, k in increasing order. -3, b, k Let l = 26.81 + -27.11. Sort l, 5, -2/17. l, -2/17, 5 Suppose -k - 13*o = -12*o - 27, 4*k + 5*o - 109 = 0. Put -1, k, 0 in ascending order. -1, 0, k Let v(k) = -18*k + 62. Let z be v(5). Sort 2, 5, z in decreasing order. 5, 2, z Let v = 37.4 - 37. Put -0.1, -0.2, v, 0.5 in descending order. 0.5, v, -0.1, -0.2 Let w = -15 + 25. Let l be ((-9)/6)/(5/w). Sort 3, 9, 2, l in descending order. 9, 3, 2, l Let s = -126 + 146. Sort -1, s, -4, 1 in descending order. s, 1, -1, -4 Let l = -8 - -11. Let u(i) = i**2 - 2*i - 1. Let z be u(l). Sort z, 6, -2 in decreasing order. 6, z, -2 Let x be (-9)/2 - 12/24. Let t = 9 - 4. Suppose -5*j + t = -0. Put j, 2/7, x in decrea
{ "pile_set_name": "DM Mathematics" }
3, 0 Let n = 80 - 76. Determine g, given that 27/5*g**3 - 21/5*g**2 - 3*g**n + 6/5*g + 0 + 3/5*g**5 = 0. 0, 1, 2 Let n = 71223/12035 + -213/83. Let t = -16/29 + n. Find r such that 0 + 4/5*r**2 - 18/5*r**3 + t*r**4 + 0*r = 0. 0, 2/7, 1 Factor -5*h**4 - h + 16*h**3 - 2*h + 8*h + 5*h**2 - 21*h**3. -5*h*(h - 1)*(h + 1)**2 Let d be (-91)/(-52)*(-3)/(-7). Solve -d*i**3 + 3/2*i**2 + 0 - 3/4*i = 0. 0, 1 Determine g so that 0 + 16/7*g - 4/7*g**2 = 0. 0, 4 Suppose 2*i = -h + 8, 0*i = 3*h + 5*i - 23. Factor 0*g + 4*g**3 + 3*g - h*g - g**3. 3*g*(g - 1)*(g + 1) Let n(c) be the first derivative of -7 + 1/2*c**4 + 0*c + 2/3*c**3 + 0*c**2. Factor n(i). 2*i**2*(i + 1) Suppose -4 = -2*v - 0*v. Find n such that 2*n**4 - n**v - 7*n - n - 5*n**2 + 8 + 4*n**3 = 0. -2, 1 Let p(i) be the third derivative of -i**7/70 - i**6/10 - i**5/4 - i**4/4 - i**2. Factor p(f). -3*f*(f + 1)**2*(f + 2) Let k(b) = -b**2 + 12*b + 4. Let a be k(12). Suppose a*o - 1 = -3*w + 2*o, 2*w = 5*o + 26. Factor 3*n**4 - n**4 + 4*n**3 + n**5 - 3*n**w. n**3*(n + 1)**2 Let y be ((-20)/(-16))/((-20)/(-8)). Factor 1/4*v - y + 1/4*v**2. (v - 1)*(v + 2)/4 Let f(b) be the third derivative of -1/30*b**6 + 1/12*b**4 - 1/5*b**5 + 0*b + b**3 - 7*b**2 + 1/168*b**8 + 1/35*b**7 + 0. Solve f(a) = 0. -3, -1, 1 Let q be (-3 - (-4 + 2))/(-1). Let z be (-3)/(-6)*(1 + q). Suppose z - 3*s + s**2 + 0*s + s = 0. What is s? 1 Let h(w) = -w**3 + 21*w**2 - 19*w - 17. Let o be h(20). Suppose 2*z + 4*z**2 + 7/2*z**4 - 19/2*z**o + 0 = 0. Calculate z. -2/7, 0, 1, 2 Let h be 2*-1 + 84/21. Factor 0*x + 1/3*x**5 + 0*x**h + 0 + 1/3*x**4 + 0*x**3. x**4*(x + 1)/3 Let -15*m**2 - 12*m**3 + m - 12*m**2 - 7*m = 0. Calculate m. -2, -1/4, 0 Let v(i) = 12*i**2 - 11*i - 1. Let h(w) = 13*w**2 - 11*w - 2. Let f(q) = 3*h(q) - 4*v(q). Factor f(d). -(d - 1)*(9*d - 2) Let n be (3/(-5))/(12/(-40)). Let o(y) be the first derivative of 0*y**3 - n - 1/2*y**4 + y**2 + y - 1/5*y**5. Factor o(s). -(s - 1)*(s + 1)**3 Let 2/3*v**2 - 10/3*v + 8/3 = 0. What is v? 1, 4 Let v(w) be the third derivative of w**6/120 - w**5/15 + w**4/12 + 2*w**3/3 + 11*w**2. Let x be v(3). Solve 1/2*z + 1/2*z**2 - x = 0 for z. -2, 1 Let l(t) be the second derivative of -t**5/20 + t**4/4 + 3*t**2/2 + 12*t. Let p be l(3). Find q, given that 8/5*q + 0 + 6/5*q**4 - 16/5*q**2 + 2/5*q**p = 0. -2, 0, 2/3, 1 Suppose -4*r - 9 = -3*r. Let k be (-51)/r - (-4)/(-6). Let -11*g**3 - 7*g**2 - k*g**3 - g - g**2 = 0. Calculate g. -1/4, 0 Factor 64 + 144*b + 39*b**2 - 10*b**3 - 36*b**3 - 3*b**4 - 198*b**2. -(b - 1)*(b + 8)**2*(3*b + 1) Let m(r) be the third derivative of 2*r**7/525 + r**6/200 - r**5/60 - r**4/40 + r**3/30 - 61*r**2. Factor m(y). (y - 1)*(y + 1)**2*(4*y - 1)/5 Solve 3/2*h + 0 - 9/4*h**2 - 3/4*h**5 - 3/4*h**3 + 9/4*h**4 = 0 for h. -1, 0, 1, 2 Factor -5/2*q**3 - 25/2*q - 5 - 10*q**2. -5*(q + 1)**2*(q + 2)/2 Suppose 3*z**4 - 8*z**4 + 21*z - 6*z**2 + 12*z**4 + 7*z + 8 - 19*z**3 = 0. Calculate z. -1, -2/7, 2 What is x in 6 + 27*x - 47*x + 25*x - x**2 = 0? -1, 6 Let p(j) = 3*j**3 + 4*j**2 + 4*j + 4. Let m(n) = -4*n**3 - 5*n**2 - 5*n - 5. Let y(u) = 4*m(u) + 5*p(u). Factor y(w). -w**3 Suppose 2 = -4*u - 22. Let h(n) = n**2 + 4*n - 7. Let g be h(u). Solve 4*c**g - 3*c**3 - 3*c**2 + 0*c**2 - c**5 + 3*c**4 = 0 for c. -1, 0, 1 Let m(v) = -2*v - 5. Let i be m(-4). Suppose -4*g**2 - 3*g**i + 3*g**2 + 4*g**2 + 6*g**3 = 0. Calculate g. -1, 0 Let c(n) be the third derivative of -n**7/1155 - n**6/660 + n**5/330 + n**4/132 + 3*n**2. Factor c(s). -2*s*(s - 1)*(s + 1)**2/11 Let y(k) be the second derivative of -k - 1/8*k**3 - 3/8*k**2 - 1/40*k**6 + 3/40*k**5 + 0 + 1/8*k**4 - 1/56*k**7. Factor y(h). -3*(h - 1)**2*(h + 1)**3/4 Let s = 344 - 1016/3. Let c(r) be the first derivative of -s*r**3 + 4*r - 5/2*r**4 - r**2 + 1. Factor c(t). -2*(t + 1)**2*(5*t - 2) Let r(h) = -h**2 + 5*h - 3. Let l be r(7). Let z = l + 35/2. Factor 0 + z*o**2 + 0*o - 1/2*o**3 - 1/2*o**4 + 1/2*o**5. o**2*(o - 1)**2*(o + 1)/2 Let n(i) = -2*i - 8. Let b be n(-6). Let s(f) be the first derivative of 1/6*f**2 + 0*f + 0*f**3 + 2 - 1/12*f**b. Determine r so that s(r) = 0. -1, 0, 1 Suppose m**4 + 4*m**3 + 0*m**3 + 0*m**3 + 3*m**2 = 0. What is m? -3, -1, 0 Let h(x) = -x**3 - 5*x**2 - 8*x - 3. Let n be h(-3). Solve 2/7*d**n - 2/7*d + 0 - 2/7*d**2 + 2/7*d**4 = 0 for d. -1, 0, 1 Let o = 1/94 - -87/658. Factor 1/7*q**2 + o + 2/7*q. (q + 1)**2/7 Let r(t) be the second derivative of -t**5/35 - t**4/7 - 2*t**3/7 - 2*t**2/7 + 10*t. What is f in r(f) = 0? -1 Factor -3*v**2 + 7*v + v + 15*v**2. 4*v*(3*v + 2) Let s = 289/3 + -865/9. Let k(o) = -3*o. Let w be k(-1). Factor -2/9*i**2 + 2/9*i**w + s - 2/9*i. 2*(i - 1)**2*(i + 1)/9 Let i be 28/72 + -4*(-5)/180. Suppose 1/4 + i*x**2 - 1/2*x**3 - 3/4*x**4 - 1/4*x**5 + 3/4*x = 0. Calculate x. -1, 1 Let z(p) be the second derivative of -p**5/100 - p**4/60 + p**3/15 - p. Factor z(w). -w*(w - 1)*(w + 2)/5 Let w = -183 - -554/3. Factor 2/3 - a - w*a**2. -(a + 1)*(5*a - 2)/3 Factor -8/3*v - 2/3*v**2 + 10/3. -2*(v - 1)*(v + 5)/3 Suppose 3*b + 0*b - 12 = 0. Suppose 0 = h + 4, -g + b*h + 22 - 4 = 0. Factor -6*d**3 - 6*d**5 + 3*d**4 - d**4 + 7*d - 2*d**g - 3*d + 8*d**5. 2*d*(d - 1)**2*(d + 1)*(d + 2) Let l = -101 + 101. Determine v so that l*v + 0*v**4 + 2/3*v**5 - 2/3*v**3 + 0 + 0*v**2 = 0. -1, 0, 1 Suppose 3*k - 6 + 3 = 0. Let g be (-57)/(-18) - k/6. Factor 0 - 2/5*i**4 - 4/5*i**g - 2/5*i**2 + 0*i. -2*i**2*(i + 1)**2/5 Find r, given that 5/4*r + 5/4*r**5 + 5/2*r**2 - 5/2*r**3 - 5/4*r**4 - 5/4 = 0. -1, 1 Let m(w) be the second derivative of w**4/42 + w**3/21 + w. Determine t, given that m(t) = 0. -1, 0 Let v(p) be the first derivative of p**4/42 + p**3/21 - 2*p - 3. Let q(b) be the first derivative of v(b). What is s in q(s) = 0? -1, 0 Let j(q) be the second derivative of -q**5/30 + 23*q**4/84 - 2*q**3/7 - 2*q**2 - 7*q. Let o(b) be the first derivative of j(b). Suppose o(y) = 0. What is y? 2/7, 3 Let l(m) be the third derivative of -7*m**6/60 + 2*m**5/5 + m**4/3 + m**2. Factor l(b). -2*b*(b - 2)*(7*b + 2) Let u(g) = 3*g**2 - 4*g - 2. Let v(x) = 13*x**2 - 15*x - 8. Let m(z) = -9*u(z) + 2*v(z). Let i be m(6). Determine q so that -2*q**2 + i*q + 1 + 6 - 3 = 0. -1, 2 Let c(a) = a**2 - a. Let b(h) = -4*h**2 + 5*h. Let r(j) = 6*b(j) + 22*c(j). Suppose r(z) = 0. What is z? 0, 4 Let t(s) = -s**3 + 28*s**2 - 52*s + 2. Let u be t(26). Let 57/8*h**u + 21*h**4 - 171/8*h**3 - 6*h**5 + 0 - 3/4*h = 0. Calculate h. 0, 1/4, 1, 2 Let p(k) be the first derivative of k**6/3 + 18*k**5/35 - 5*k**4/14 - 6*k**3/7 - 2*k**2/7 + 4. Let p(l) = 0. What is l? -1, -2/7, 0, 1 Let x(d) be the second derivative of 0*d**2 + 0*d**4 + 0 + 1/720*d**6 - d + 1/240*d**5 + 1/6*d**3. Let z(a) be the second derivative of x(a). Factor z(t). t*(t + 1)/2 Let j(u) = -u**3 + 5*u**2 - 3*u - 1. Let p be j(4). Factor 3*w**p - 8*w + 5*w - 6 - 2*w**2 + 8*w**2. 3*(w - 1)*(w + 1)*(w + 2) Suppose -24 = 4*h - 8*h. Let d be 8/3*(-24)/(-16). Find w, given that 2*w**2 - h*w + d - 2 + 2*w = 0. 1 Let v(k) be the second derivative of -1/6*k**4 + 3/20*k**5 + 0*k**2 + 0*k**6 - 1/42*k**7 + 0*k**3 + 0 + 9*k. Suppose v(s) = 0. Calculate s. -2, 0, 1 Suppose 0 = -3*a + 3, i + 2*a = -2*a + 8. Let g(o) be the second derivative of 0*o**2 + 1/20*o**i + 1/50*o**5 + 1/30*o**3 + 0 + o. Factor g(y). y*(y + 1)*(2*y + 1)/5 Let z(f) be the first derivative of 2*f**3/3 + f**2 - 9. Factor z(v). 2*v*(v + 1) Let u = 5363/5 - 1069. Determine w, given that -12/5*w - 2/5*w**2 - u = 0. -3 Let i(u) be the first derivative of -u**5/20 - u**4/8 - u**3/12 - 8. Solve i(t) = 0 for t. -1, 0 Let b be 18/6 - 4/2. Let o be (-2)/b + 60/25. What is f in -o*f**4 + 4/5*f**3 - 4/5*f + 2/5 + 0*f**2 = 0? -1, 1 Let g(b) be the first derivative of -3 + 0*b**2 + 0*b + 1/18*b**3 + 1/12*b**4 + 1/30*b**5. Let g(f) = 0. What is f? -1, 0 Suppose -2*d - 2 = -d. Let z = d + 6. Factor 4*v**4 - 3*v**z + v**4. 2*v**4 Let n(b) = -15*b**4 + 15*b**3 - 3*b**2 - 24*b + 9. Let u(w) = -7*w**4 + 8*w**3 - 2*w**2 - 12*w + 5. Let i(l) = -4*n(l) + 9*u(l). Factor i(d). -3*(d - 3)*(d - 1)**2*(d + 1) Let q(l) = l**5 - 2*l**4 + 3*l**3 - 2*l**2 - 2. Let p(i) = -5*i**5 + 10*i**4 - 16*i**3 + 11*i**2 + 11. Let r(y) = 4*p(y) + 22*q(y). Factor r(n). 2*n**3*(n - 1)**2 Let x = 11 - 8. Suppose 21 = 2*n + x*j, -2*n - 4 = -4*j + 10. Let -2/9*o**4 +
{ "pile_set_name": "DM Mathematics" }
a? a Suppose 0 = 2*m + 3*m - 65. Let j = -6608 + 6612. Which is bigger: j or m? m Let b = -7 - -14. Suppose 5*z - b*z = -8. Let k be (-15)/9 + z/2. Is k greater than 2/7? True Let x = 71.5 + -71.5. Let j = -7 + 8. Which is smaller: j or x? x Let x be ((-27)/(-150))/(2/4). Let r = 288 + -21598/75. Let z = x - r. Which is greater: z or -1? z Let j = -6 - -11. Suppose -12 = -3*s - 4*n + n, -j*s = -2*n - 41. Suppose -4*g + 3*a = -17, 4*a = 27 - 7. Is g >= s? True Let h(z) = z**3 + 8*z**2 + 6*z + 5. Let b(o) = -o**2 + 3*o - 3. Let j be b(4). Let r be h(j). Let u be (-2)/35*15/r. Which is smaller: u or 0? u Let f(n) = n**2 - 4*n - 13. Let x be f(-9). Let y = -152 + x. Which is greater: -47 or y? -47 Let g = 231 - 343. Which is smaller: 2 or g? g Let j be (-4 - -6)*(1 - 0). Suppose 0 = j*d + 54 - 60. Does 1.2 = d? False Suppose 0 = -10*b + 1060 + 360. Do 142 and b have different values? False Let p = -2/237 + -1151/4029. Is -12 <= p? True Suppose 4*t - 199 = -63. Let h = t - 40. Is -6 bigger than h? False Let b be (-1)/2 - (-3)/(-6). Let l = 1/141 + -428/705. Which is bigger: b or l? l Let l be (-5)/1*(-2)/(-5). Let r be ((-7077)/(-674))/(6*-2*1). Is l >= r? False Suppose -5*z + 4*g + 2 = -20, -3*z + 3 = g. Let h be 4 + -5 + (-14)/z. Suppose 3*n = 2*m + 16, 5*n = 3*m - 4*m - 8. Is h at most m? True Let y = -7.21 + 8.21. Suppose -4*w + 5*k = 36, -5*w + k = -2*w + 16. Which is smaller: w or y? w Let l = -575/68 + 148/17. Are 169 and l equal? False Let l be (-220)/(-132) + (4*-1)/2. Is l > -24? True Let j = 12 + -14. Let m = 33.7 + -33. Is j != m? True Let n = 0 - 6. Let b = 15 + n. Let f(q) = -q**2 + 10*q - 7. Let v be f(b). Which is smaller: 1 or v? 1 Let o = -59/144 - -3/16. Suppose -w - 60 = -4*f + 23, 4*f - 87 = -3*w. Let j = f + -20. Is j at least as big as o? True Suppose -2*m + 118 = -w - 13, 0 = -5*w + m - 628. Which is greater: -127 or w? w Let m be 1*1*(-2 + 1 + 1). Let p be 132/26 + -4 - 2/1. Which is greater: m or p? m Let n(h) be the second derivative of -h**4/12 + h**3/2 + h**2/2 - h. Let f be n(2). Let r be 1/(1/(f + -1)). Which is greater: 4 or r? 4 Let i = 1925 + -1914.08. Is i smaller than 0? False Suppose 37*g - 34*g = 2*k + 388, 2*g - 4 = 0. Is k greater than or equal to 0? False Let j = 4822/13 - 371. Let t be 2/3*(-6)/4. Let n be (0 + 0 + t)*-1. Which is bigger: j or n? n Let z be (-6 + 1 - -8) + 3*23. Which is smaller: z or 71? 71 Let m = -1741 - -1741.2. Is m greater than or equal to 1/474? True Suppose 3*n + 19 = 4*q - 44, -4*n - 84 = -3*q. Are n and -14 non-equal? True Let p = -2197/27680 - -9/160. Is p greater than 0? False Let j = 88 - 125.8. Let a = -38 - j. Is a at most 3/8? True Let a be -13 - (-3 - -5)/(8/6). Suppose -24 = -b + 2*k, 7 - 87 = -4*b + 4*k. Let f = b + a. Which is greater: f or -0.1? f Let p = -127 - -135. Suppose 2*z + 2 - p = 0. Is 5 at least as big as z? True Suppose 2*m = -3 + 1. Suppose 0 = 5*s - 4*p + 66, p + 6 = -s - 0. Let t be 3/8*s/6. Is t at least m? True Let b = -0.3 - -0.4. Let v = 4.8 + -5. Are b and v equal? False Let h be (1 + (-9)/1)/(-1). Suppose h = 5*y - 3*y. Suppose -2*f = -y*x - 8, 5*f + 0*f = -x - 13. Is x less than -4? False Let s = -109 - -81. Let h = s - -28. Which is greater: 2/105 or h? 2/105 Let n(d) = -2*d**2 + d + 1. Let v = 74 + -69. Let g be n(v). Which is smaller: g or -42? g Let r(a) = -a + 15. Let x be r(11). Suppose 0 = -x*q + 18 - 6. Suppose -2*t + 20 = 3*t. Which is smaller: q or t? q Suppose 48*x + 4 = 50*x. Suppose 0 = -11*f + x - 24. Is f at most as big as -4/7? True Let k = 12 - 3. Let w(j) = j**3 + 6*j**2 - j - 4. Let c be w(-6). Let s = c - -8. Is k at least as big as s? False Let w(t) = t - 8. Let k be w(7). Let a = -1262.025 + 1262. Is a at least k? True Suppose 0*j + 4*j - 4 = 0. Let r = -141 - -41. Let a = r + 95. Which is greater: j or a? j Let m(x) = 15*x + 268. Let g be m(-15). Is g equal to 41? False Let g = -223 - -222. Which is smaller: -9/4 or g? -9/4 Suppose -n - 6 = 2*s - 33, -n + 9 = -4*s. Let h be n/35 + 54/10. Which is greater: h or 9? 9 Let c(y) = y**3 - y. Let k be c(1). Suppose 5*a = p - 12, 0 = -7*p + 2*p - 3*a - 24. Let r be 2/10*p - -1. Which is bigger: k or r? r Let h(t) = 11*t + 42. Let f be h(10). Let k = 152 - f. Is 13 > k? True Let j(o) = -o**2 - 14*o - 72. Let b be j(-15). Is -87 bigger than b? False Suppose -87*k - 4 = -91. Is k at least as big as 57/35? False Suppose 3*n - 16 = 14. Let t = -274 - -286. Let d = t - n. Which is smaller: d or 6/11? 6/11 Let o = -1878 - -1021. Is -857 bigger than o? False Let d be 2*(-4 + 35/10). Let a(k) = 3*k**3 + 3*k**2 + 2*k. Let h be a(d). Is h less than or equal to 13? True Suppose 0 = b - 0*b. Let n = -941/130 + 36/5. Is n less than b? True Let l(k) = k**3 - 4*k**2 + 9*k - 37. Let j be l(4). Let n be (-9)/(-12)*2/42. Is n < j? False Suppose -13 = -5*b + 42. Let o = -12.46 - -12.26. Is o at most as big as b? True Let n(b) = b**2 - 9*b - 266. Let i be n(0). Is i != -267? True Let q = 0.552 - -0.048. Let z = 1.6 - q. Which is smaller: z or -5/6? -5/6 Let a(r) = 5*r**2 + 37*r - 2. Let s be a(-6). Is s at least -47? True Let q = -1554 + 1327. Which is greater: q or -226? -226 Let f(k) = -k + 6. Let y be f(5). Suppose -4*d - 2*h = 2*h + 24, 0 = 2*d + h + 7. Let r be (-7 - -3)/(d + (-22 - -1)). Are y and r equal? False Let k = -8631/8 + 1078. Let t be (-2)/4 + (-2)/4. Which is greater: t or k? k Suppose 0 = -2*w + d - 112, -4*w + 33*d - 32*d = 230. Suppose -75 = 5*q + 220. Is q < w? False Let b be (-25)/(-15)*(-9)/(-10). Suppose 0 = -v + 6*v + 10. Let p be 1/(-2)*(0 + v). Which is greater: b or p? b Suppose -4*t + 4 = 2*f, 5*f - 2*t - 22 = -0*t. Suppose -f*n + 6 + 6 = 0. Which is smaller: 6 or n? n Suppose 5*f - 20 + 334 = 3*i, -3*i + 4*f + 313 = 0. Is 105 bigger than i? True Suppose -4 = -2*w - 0. Let g be 4/132*(w + (-14)/4). Is 1/2 > g? True Let o = 1.5 + -1.7. Let l(k) = k**3 + 6*k**2 + 6*k + 4. Let r be l(-4). Suppose 0 = 3*g - h - r, -2*h - 2 = 4. Is o less than g? True Suppose -110*f = -122*f - 756. Does f = -58? False Let w = -9/8 - -7/8. Let o = 24.08 + -20.08. Is o less than w? False Let c(o) = 14*o**2 - 1 + 3*o + 16*o**2 - 29*o**2. Let r be c(-4). Is 13/6 != r? True Suppose 4*v - 14 = 6. Suppose 0 = 3*f + f - v*p + 36, 0 = 5*f + 5*p. Is -1 equal to f? False Let t(n) = -4*n - 2*n**3 - 31*n**2 - 3*n + 1 + 23*n. Let s be t(-16). Let d be 0/(2/(-2) + -1). Do d and s have different values? True Let m = 43 - -36. Is 81 bigger than m? True Let w = -12 + 16. Suppose -w*k + 5 - 1 = 0. Let g = k - 16. Is -15 at least as big as g? True Suppose 0 = -4*w + 25 - 21. Suppose -4*y - w = 11. Which is smaller: 1 or y? y Let z = -20 + 20. Let i = 1151/28 + -161/4. Which is smaller: i or z? z Let n = -0.041 - 0.059. Let m be (2/(-6))/(1/(-6)). Let c be (2 + -4)/(-1) - m. Is n bigger than c? False Let m(t) = -21*t**3 + 5*t**2 - 3*t**2 + 3*t - 3*t**2 - 1 - 4*t. Let p be m(-1). Suppose -p = 6*x - x. Which is greater: -1 or x? -1 Let h be ((-3)/(-7))/((-42)/56). Suppose -3*x = -2 + 5. Is h smaller than x? False Let q = -0.01 - 0.03. Let p = -2.96 + q. Let h = 2.4 + p. Is h >= 1/2? False Suppose 0 = -5*z + 15 + 10. Suppose y = z*k - 20, 0 = -0*y - 2*y + 10. Suppose 5*n - 3*n + k*r - 11 = 0, -4*n = -2*r + 38. Which is smaller: n or -8? -8 Let w = -396 - -458. Is w not equal to 2/3? True Let h = 7 + -6.3. Let d = 0.6 - h. Let q = d + 0.1. Which is bigger: 2 or q? 2 Let r be 42*13/91 - 88/14. Which is greater: r or -1/1732? -1/1732 Let r(o) = -o - 6. Let g be r(-8). Let p be g/(12/15)*8/(-650). Which is smaller: p or -1? -1 Let g(s) = -s**3 + 13*s**2 + 17*s - 11. Let p be g(14). Suppose 7 = 6*x + p. Which is smaller: 0 or x? x Suppose 7 = p + 2*g, -20*p - 3*g = -17*p - 9. Which is smaller: p or 123/19? p Let u(l) = l**3 + 9*l**2 + 8*l - 4. Let p be u(-8). Let d = 20.65 - 20. Let b = d - -0.35. Which is bigger: p or b? b Let k be (18/120)/((-24)/(-10)). Suppose 2*v = 8 + 4. Suppose 4*a + 0*s = s + v, 3 = 5*a + s. Do a and k have the same value? False Let h = -0.4331 + 0.0331. Which is smaller: -26/3 or h? -26/3 Let s = -4.5 - -4.5. Are 0.473 and s unequal? True Let c(p) = -p**2 - 6*p + 2. Let r be c(-6). Let a = 1 + -1. Suppose a = r*g + 2. Is g <= -1? True Let t(m) = -m**2 - 82*m + 623. Let i be t(7). Is -11/14 bigg
{ "pile_set_name": "DM Mathematics" }
ulate the highest common divisor of 3470 and 50. 10 What is the highest common factor of 378 and 3843? 63 What is the greatest common divisor of 213 and 15? 3 What is the greatest common divisor of 304 and 95? 19 Calculate the greatest common factor of 1450 and 58. 58 Calculate the greatest common factor of 72 and 984. 24 What is the highest common factor of 296 and 11988? 148 What is the highest common factor of 9 and 558? 9 What is the greatest common divisor of 240 and 6? 6 What is the greatest common divisor of 153 and 72? 9 What is the highest common divisor of 4136 and 176? 88 Calculate the greatest common factor of 256 and 20. 4 Calculate the greatest common factor of 66 and 6. 6 What is the greatest common factor of 175 and 56? 7 What is the highest common divisor of 80 and 288? 16 What is the highest common divisor of 310 and 70? 10 What is the highest common factor of 252 and 90? 18 What is the highest common factor of 100 and 60? 20 What is the greatest common factor of 4665 and 45? 15 Calculate the greatest common divisor of 93 and 341. 31 Calculate the greatest common factor of 48 and 129. 3 Calculate the highest common factor of 312 and 384. 24 What is the greatest common divisor of 12 and 204? 12 What is the greatest common factor of 40 and 2120? 40 What is the greatest common factor of 205 and 126895? 205 What is the greatest common factor of 776 and 873? 97 Calculate the highest common factor of 700 and 40. 20 What is the greatest common divisor of 7 and 39606? 7 Calculate the greatest common divisor of 493 and 17. 17 Calculate the greatest common factor of 5 and 65. 5 Calculate the highest common divisor of 17 and 1088. 17 Calculate the greatest common factor of 10 and 30. 10 Calculate the greatest common factor of 2128 and 19. 19 Calculate the highest common factor of 196 and 14. 14 Calculate the highest common factor of 1400 and 1260. 140 What is the greatest common factor of 45 and 420? 15 What is the highest common divisor of 24 and 1884? 12 What is the greatest common factor of 41 and 7339? 41 Calculate the highest common divisor of 78 and 208. 26 Calculate the highest common factor of 149 and 1043. 149 What is the highest common divisor of 150 and 5350? 50 What is the highest common factor of 174 and 290? 58 Calculate the highest common factor of 279 and 45. 9 What is the highest common divisor of 5 and 80? 5 Calculate the greatest common divisor of 280 and 4550. 70 Calculate the highest common factor of 80 and 48. 16 What is the highest common factor of 108 and 192? 12 Calculate the greatest common factor of 33700 and 400. 100 Calculate the greatest common factor of 1909 and 1328. 83 Calculate the highest common factor of 3 and 177. 3 Calculate the greatest common divisor of 1 and 457. 1 Calculate the greatest common factor of 148 and 6068. 148 What is the highest common factor of 120 and 92520? 120 What is the highest common divisor of 1179 and 99? 9 What is the greatest common factor of 60 and 1220? 20 Calculate the highest common factor of 64 and 8. 8 What is the highest common factor of 243 and 14499? 81 What is the highest common divisor of 350 and 20? 10 Calculate the highest common divisor of 357 and 17. 17 Calculate the greatest common divisor of 9889 and 217. 31 Calculate the highest common divisor of 4393 and 46. 23 Calculate the greatest common factor of 5656 and 112. 56 What is the highest common factor of 4560 and 960? 240 What is the greatest common factor of 12570 and 180? 30 Calculate the greatest common factor of 231 and 4179. 21 What is the greatest common factor of 28 and 658? 14 What is the greatest common divisor of 23 and 3? 1 Calculate the greatest common factor of 32 and 84. 4 What is the highest common divisor of 22506 and 558? 186 Calculate the greatest common factor of 102963 and 21. 21 Calculate the highest common factor of 481 and 37. 37 Calculate the greatest common divisor of 3102 and 396. 66 Calculate the highest common factor of 40437 and 9. 9 Calculate the highest common factor of 126 and 336. 42 What is the greatest common factor of 99 and 19041? 33 Calculate the highest common factor of 2860 and 1980. 220 Calculate the highest common divisor of 273 and 21. 21 What is the greatest common divisor of 52 and 1066? 26 Calculate the greatest common divisor of 52 and 156. 52 Calculate the highest common factor of 3172 and 183. 61 Calculate the greatest common divisor of 26441 and 274. 137 What is the greatest common divisor of 26 and 2? 2 Calculate the highest common factor of 15521 and 83. 83 Calculate the highest common factor of 1643 and 159. 53 Calculate the highest common factor of 9 and 167. 1 What is the highest common divisor of 21 and 2919? 21 What is the highest common factor of 110 and 66? 22 Calculate the greatest common factor of 70 and 5278. 14 Calculate the highest common divisor of 2568 and 48. 24 What is the highest common divisor of 1864 and 16? 8 Calculate the highest common divisor of 4570 and 10. 10 Calculate the highest common divisor of 801 and 445. 89 What is the greatest common divisor of 99 and 363? 33 What is the highest common divisor of 4 and 1264? 4 What is the highest common factor of 2815 and 25? 5 Calculate the greatest common divisor of 512 and 416. 32 What is the greatest common divisor of 5130 and 36? 18 What is the highest common factor of 288 and 2232? 72 Calculate the greatest common factor of 21 and 3633. 21 What is the highest common divisor of 512 and 32? 32 What is the greatest common divisor of 48 and 96? 48 Calculate the greatest common divisor of 90 and 1200. 30 Calculate the highest common factor of 104 and 2210. 26 What is the greatest common divisor of 124 and 12? 4 Calculate the greatest common divisor of 16 and 72. 8 What is the highest common divisor of 56 and 3962? 14 What is the highest common factor of 1 and 227? 1 What is the greatest common factor of 840 and 651? 21 Calculate the highest common divisor of 25 and 5. 5 What is the highest common factor of 70 and 1022? 14 What is the greatest common divisor of 654 and 48? 6 What is the highest common divisor of 895 and 15? 5 What is the greatest common factor of 22 and 11847? 11 What is the greatest common divisor of 90 and 120? 30 What is the highest common factor of 2652 and 117? 39 What is the highest common divisor of 7496 and 4? 4 What is the greatest common divisor of 10 and 830? 10 What is the greatest common divisor of 114 and 150? 6 Calculate the highest common factor of 28 and 567. 7 What is the greatest common divisor of 2105 and 10? 5 What is the highest common factor of 4482 and 249? 249 What is the greatest common divisor of 25 and 575? 25 Calculate the greatest common factor of 3552 and 111. 111 Calculate the highest common divisor of 2144 and 4. 4 Calculate the greatest common divisor of 215 and 5. 5 Calculate the greatest common factor of 93 and 279. 93 Calculate the greatest common factor of 12733 and 428. 107 What is the greatest common factor of 430 and 20? 10 What is the greatest common factor of 77 and 11? 11 What is the highest common factor of 896 and 616? 56 Calculate the greatest common divisor of 41 and 4141. 41 What is the greatest common divisor of 156 and 72? 12 What is the highest common factor of 29595 and 45? 15 What is the highest common factor of 24 and 2844? 12 Calculate the greatest common factor of 10 and 8410. 10 What is the highest common divisor of 138 and 230? 46 Calculate the highest common divisor of 532 and 28. 28 Calculate the highest common divisor of 141 and 3. 3 What is the greatest common divisor of 228 and 3648? 228 Calculate the greatest common divisor of 308 and 9812. 44 What is the greatest common divisor of 2134 and 308? 22 What is the greatest common divisor of 99 and 1584? 99 Calculate the highest common divisor of 85 and 5. 5 Calculate the greatest common factor of 15435 and 15. 15 What is the greatest common divisor of 46210 and 10? 10 What is the greatest common divisor of 66 and 528? 66 Calculate the greatest common divisor of 27 and 1. 1 What is the greatest common divisor of 764 and 573? 191 Calculate the highest common factor of 1316 and 28. 28 Calculate the greatest common factor of 1474 and 1206. 134 What is the highe
{ "pile_set_name": "DM Mathematics" }
= d - p. List the prime factors of d. 13 Suppose -4*n + 76 = 5*w - 208, 3*w + 240 = 3*n. What are the prime factors of n? 2, 19 Let b = 15 + 4. List the prime factors of b. 19 Let c = 9 - 4. Suppose -c*s = -3*s - 4. Suppose 0*l + 14 = s*l. List the prime factors of l. 7 Suppose 5*k - y - 1154 = 0, 3*k + 2*y = 286 + 409. What are the prime factors of k? 3, 7, 11 Suppose 3*f + 2*f = 75. Suppose -p + 18 = -2*o - 4*p, 20 = -2*o - 4*p. Let t = f + o. What are the prime factors of t? 3 What are the prime factors of (-2148)/(-28) + 2/7? 7, 11 Suppose 5*z - 33 = 62. Let d = 31 - z. List the prime factors of d. 2, 3 Let k be (2/4)/(2/4). Let l(i) = i - 16. Let c be l(14). List the prime factors of (k/c)/((-2)/12). 3 Suppose -4*y - 3*h = -258, 4*y = -4*h + 6 + 250. What are the prime factors of y? 2, 3, 11 Let m = 11 - 9. List the prime factors of 0 + (-5 + m - -11). 2 Let a = 30 + 2. Suppose a = y + 3*p, -5*y - 2*p = -6*p - 103. List the prime factors of y. 23 Suppose 5*n - 14 = 171. What are the prime factors of n? 37 Let k = -6 - -11. Suppose -2*o - 3 + 11 = 0. Suppose -k*c + 4 = -o*q, 3*q - c + 0*c = 8. List the prime factors of q. 2 Let t be (0 + -1)/(3/(-9)). Suppose u - 24 = -t*u. What are the prime factors of -4*5*(-3)/u? 2, 5 Let q(g) = -2*g - 28. What are the prime factors of q(-15)? 2 Suppose -4 = -2*n + 6. Suppose 0 = 3*p - 2*p - n. List the prime factors of p. 5 List the prime factors of (-32)/(-3) + 3/9. 11 Let o = -4 - -8. Suppose 5*d - 143 = o*k, -5*k - 157 = d - 0*d. Let r = k + 47. What are the prime factors of r? 3, 5 Let n = -2 + 2. Suppose n = -2*c - 0*c + 24. List the prime factors of c. 2, 3 Let x(s) = s**2 - 5*s - 2. Let j be x(6). Suppose 0 = -2*v + 14 - j. List the prime factors of v. 5 What are the prime factors of 51 + 4/(2/1)? 53 List the prime factors of -26 - -26 - 1*-176. 2, 11 Let g = 5 + -7. What are the prime factors of (5 - g)*(-5 - -6)? 7 Suppose -36 = -4*t + 64. What are the prime factors of t? 5 Suppose 3*v = -2*h + 18, -h - 4*v + 0 = -14. Let m be (12/14)/((-1)/(-14)). Let b = m - h. What are the prime factors of b? 2, 3 Let b(f) = 2*f - 15. Let c(s) = -s + 8. Suppose 0 = -5*l - i + 69, -3*i + 31 + 33 = 4*l. Let o(z) = l*c(z) + 6*b(z). List the prime factors of o(6). 2 Let o = 31 + 5. What are the prime factors of o? 2, 3 Let k(a) be the second derivative of a**5/20 + 7*a**4/12 - 5*a**3/6 - a**2 + 8*a. What are the prime factors of k(-7)? 3, 11 Suppose -29 - 46 = -3*y. List the prime factors of y. 5 Let f = 131 + 14. What are the prime factors of f? 5, 29 Let n = 8 + 78. What are the prime factors of n? 2, 43 Let y be 1 - (2 + 1 + -4). Suppose y*v = v + 9. What are the prime factors of v? 3 Let l(t) = -2*t - 6. Let r be l(-6). Suppose -3*c + r = -0. List the prime factors of c/3*42/4. 7 Let o = 1 + 3. Let k be (2/o)/(5/30). Suppose i - 1 - 4 = -x, i = k*x - 3. What are the prime factors of x? 2 Let w = 5 + 120. Suppose 2*j = -3*d + w, 0 = 4*d - 4*j + 16 - 196. List the prime factors of d. 43 Let r(h) = -h**3 - 5*h**2 - h - 5. Let w be r(-5). Let v = -5 - w. Let d(k) = -k**2 - 5*k + 2. What are the prime factors of d(v)? 2 Let s = 15 - 10. Let b = s - 2. Let i = 5 - b. What are the prime factors of i? 2 Let n(r) = -r + 14. Let u be n(11). Let f(z) = 7*z + 4. What are the prime factors of f(u)? 5 What are the prime factors of (1 + 3)/(4 + -3)? 2 Suppose -11*a = 6*a - 6324. What are the prime factors of a? 2, 3, 31 Let j = 21 - 13. Let d = 21 - j. List the prime factors of d. 13 Suppose 1 = -m + 3. Suppose 5*u - 45 = m*u. Suppose -5*g - 3*a = -4*g - 5, -2*a - u = -g. What are the prime factors of g? 11 Let o = -55 + 91. List the prime factors of o. 2, 3 Suppose -j - 306 = -7*j. What are the prime factors of j? 3, 17 Let f be 2/(-3) + (-28)/12. Let x be 0/(-1)*(2 + f). Suppose 5*v - 14 - 1 = x. List the prime factors of v. 3 What are the prime factors of 6636/27 - 4/(-18)? 2, 3, 41 Suppose w - 3*w + 144 = 0. List the prime factors of w. 2, 3 Let w = -8 + 18. Suppose 4*p - 20 = 4*c, 4*c - c - 2*p = -10. Let h = c + w. List the prime factors of h. 2, 5 Suppose 0 = 2*d + 3*o - 139, 0*d + 5*o + 410 = 5*d. List the prime factors of d. 7, 11 Let z be 20/(-12) + 2/(-6). Let d = 1 - z. What are the prime factors of d? 3 List the prime factors of 3 - 2/(-1 - -3). 2 Let p = -3 + 1. List the prime factors of p/(-7) - (-183)/21. 3 Suppose -10*m = 2*m - 1740. List the prime factors of m. 5, 29 Let n(v) = -v + 6. Let c be n(4). Suppose c*a = 6*a + 8. List the prime factors of 7*((-24)/14)/a. 2, 3 Let c(s) be the first derivative of s**6/360 + s**5/120 + s**3/3 - 1. Let r(w) be the third derivative of c(w). What are the prime factors of r(-2)? 2 Let z(y) = 3*y + 6. Let q be (8/(-6))/((-3)/(-9)). Let r be z(q). What are the prime factors of (-2 + 1)/(2/r)? 3 Let f(t) = 1 + 6*t**2 + 2 - 4. Let s be f(1). Suppose -3*l = -s*k + 31 + 29, 5*k + 3*l - 30 = 0. List the prime factors of k. 3 Let i be (-67 - -10)*(-2)/6. Let q = -10 + i. List the prime factors of q. 3 Suppose 3*a - 17 = -5*u, -2*u + u - 4*a = 0. What are the prime factors of u? 2 Let i = 8 + -3. Let q = i - -8. What are the prime factors of q? 13 Suppose 0 = -5*f + 4*f - 2. List the prime factors of -3 + (17 - 2/f). 3, 5 Let y(j) = -j**2 + j. Let x be y(0). Suppose m - 4 = -x*m. Suppose -2*w = 3*r - 17, -r = -m*w + 3*r + 44. What are the prime factors of w? 2, 5 Let w(c) = -5*c - 15. Let n be w(-10). Let q = -16 + n. List the prime factors of q. 19 Let d = 10 + -7. Suppose -d*z = -0*z - 57. What are the prime factors of z? 19 Let a = -13 + 8. Let v = 8 + a. Suppose v*k = 12 - 3. List the prime factors of k. 3 Suppose 2*s - 2 = -2*k, 0*k + 4*k - 4*s + 4 = 0. Suppose -5*t + 125 + 70 = k. What are the prime factors of t? 3, 13 Let i = 26 + -20. What are the prime factors of i? 2, 3 Let c(p) = -4*p**2 - p + 1. Let n be c(-4). Let q = 84 + n. List the prime factors of q. 5 Let j = 5 + -2. Suppose 5*n - 9 = 3*x, j*x - 7 = n - 4. What are the prime factors of n? 3 Let f = -51 + 247. What are the prime factors of f? 2, 7 Let m(w) = w + 12. Let n be m(-12). Suppose 0 = 5*a + 3*s - 39, -3*a - 2*s + 27 = s. Suppose -y + a + 2 = n. What are the prime factors of y? 2 Suppose -27 = -2*g - s, 5*g - 6*s = -4*s + 90. Suppose 5*i - 19 = g. List the prime factors of i. 7 Let d = -332 - -607. List the prime factors of d. 5, 11 Let n = 146 + -74. What are the prime factors of n? 2, 3 Let p(r) be the second derivative of -r**5/20 + 2*r**4/3 - r**3 + 3*r**2/2 - r. List the prime factors of p(7). 2, 5 Suppose -5*a + 5 = 5*y, 0*y = -2*a - 4*y + 10. Let g = a - -11. What are the prime factors of g? 2 Let v = -47 + 77. List the prime factors of v. 2, 3, 5 Suppose -1 = -2*l + 1. What are the prime factors of (l - 0)*-1*-13? 13 Suppose 0 = 7*i - 653 - 467. List the prime factors of i. 2, 5 Suppose -2*d + 28 + 8 = 0. List the prime factors of d. 2, 3 Suppose y = 6*y + 15. Let t = y - -13. What are the prime factors of t? 2, 5 Let c = 3 + 2. Suppose 9*w = 8*w + c. List the prime factors of w. 5 Let u = -8 - -2. Let z(i) = -i - 6. Let t be z(u). Suppose t = -4*q + q - 4*o - 8, -4*q - 5*o = 9. What are the prime factors of q? 2 What are the prime factors of (320/(-7) - 2/7)*-2? 2, 23 Let i be (-4 + 2)/((-2)/4). Let j = i + 1. Suppose 0 = j*m + 6*h - 2*h + 5, -2*m - 9 = 3*h. List the prime factors of m. 3 Let l(g) = 10*g**2 + 2*g + 1. Let q be l(-1). Let f = 8 + q. List the prime factors of f. 17 Let v(l) = -l**3 + 6*l**2 + 2*l + 4. Let f be v(6). Suppose -4*q = 4*d - 40, 4*q - 4*d + 2*d = f. What are the prime factors of q? 2, 3 Suppose 2*x + 25 = 5*o, -3*x + 5*o - 5 = 30. Let h(z) = 5*z - 1. Let r(y) = 2*y - 1. Let w(k) = -3*h(k) + 7*r(k). What are the prime factors of w(x)? 2, 3 Let i(j) = -j**3 + 4*j**2 + 7*j + 1. Let q be (-1 - (0 - 2))*5. What are the prime factors of i(q)? 11 Suppose -3*x - 153 - 27 = 0. Let p = -4 - x. What are the prime factors of p? 2, 7 Let i(l) = -13*l + 2. List the prime factors of i(-7). 3, 31 Suppose 8 = 4*t - x, 0 = 3*t + 3*x - 2*x - 13. Suppose 3*b - t = -0. List the prime factors of (-10)/(-4)*(b - -1). 5 Let w = 41 + 1. List the prime factors of w. 2, 3, 7 Let x(r) = 43*r**2 - r - 1. Let o be x(-1). Let h = o + -31. Let i = h - 0. What are the prime factors of i? 2, 3
{ "pile_set_name": "DM Mathematics" }
rest 100000. 700000 What is 91.058 rounded to the nearest 10? 90 Round 242.71273 to 1 decimal place. 242.7 Round 0.00208676 to 5 dps. 0.00209 Round -1169.065 to the nearest one thousand. -1000 What is 243.53102 rounded to the nearest 10? 240 Round 0.00059777 to 4 dps. 0.0006 Round 1.244174 to 3 decimal places. 1.244 What is -168531.92 rounded to the nearest ten? -168530 Round -0.00023015 to 3 decimal places. 0 Round -9.66378 to 1 dp. -9.7 What is 15.00105 rounded to two dps? 15 What is -114731.8 rounded to the nearest 100? -114700 What is -3.93989 rounded to 3 dps? -3.94 What is 28387600 rounded to the nearest 1000000? 28000000 Round -89981900 to the nearest 100000. -90000000 What is -20553470 rounded to the nearest one hundred thousand? -20600000 What is -959.6036 rounded to one decimal place? -959.6 What is 237699000 rounded to the nearest one million? 238000000 What is -12029.61 rounded to the nearest 100? -12000 Round 0.0948736 to 2 decimal places. 0.09 Round 0.00221401 to 3 dps. 0.002 Round 16.67701 to one dp. 16.7 What is -74796.2 rounded to the nearest one thousand? -75000 Round 3563576 to the nearest 1000. 3564000 Round -0.271308 to two dps. -0.27 What is -0.0000035657 rounded to six dps? -0.000004 Round -21.1282 to zero decimal places. -21 What is 1014038.7 rounded to the nearest one thousand? 1014000 What is -6879.9 rounded to the nearest ten? -6880 Round 5080056 to the nearest ten thousand. 5080000 What is 27600.61 rounded to the nearest one thousand? 28000 Round 0.00000023815 to 6 dps. 0 What is -18926.8 rounded to the nearest ten thousand? -20000 What is 9382600 rounded to the nearest 100000? 9400000 Round -218.606 to the nearest integer. -219 Round -0.21265778 to 4 decimal places. -0.2127 Round -0.000107555 to six dps. -0.000108 What is 5.5648431 rounded to 2 decimal places? 5.56 Round 921663 to the nearest one hundred thousand. 900000 What is -0.000002100734 rounded to 7 decimal places? -0.0000021 What is 437958000 rounded to the nearest one million? 438000000 What is 0.00000609108 rounded to seven dps? 0.0000061 Round 10833.82 to the nearest 10. 10830 What is -5545689 rounded to the nearest ten thousand? -5550000 What is -0.0000000301007 rounded to seven dps? 0 What is -70613940 rounded to the nearest 100000? -70600000 What is 0.000043613591 rounded to six dps? 0.000044 Round -6807.58 to the nearest ten. -6810 Round 3344.096 to the nearest one hundred. 3300 What is 6.174323 rounded to three dps? 6.174 Round 27.44851 to the nearest integer. 27 Round -73101.79 to the nearest one thousand. -73000 What is -0.00003766632 rounded to five decimal places? -0.00004 What is 10860.617 rounded to the nearest integer? 10861 What is 0.0005024852 rounded to four decimal places? 0.0005 Round 1632.57 to zero decimal places. 1633 Round -0.00003937245 to seven decimal places. -0.0000394 What is 0.1731025 rounded to 4 dps? 0.1731 What is -0.0624368 rounded to three decimal places? -0.062 What is 249.11062 rounded to the nearest one hundred? 200 What is -1484.3885 rounded to the nearest 100? -1500 What is -38.09321 rounded to 1 decimal place? -38.1 Round 8076506 to the nearest one thousand. 8077000 What is -0.020431585 rounded to 3 decimal places? -0.02 Round 0.000001444524 to 7 dps. 0.0000014 Round -272490 to the nearest 100000. -300000 Round 118632.38 to the nearest 1000. 119000 Round 338.5234 to the nearest 10. 340 What is -0.01110119 rounded to four decimal places? -0.0111 What is -0.00019585953 rounded to six decimal places? -0.000196 Round 4.92604 to the nearest 100. 0 What is -95840369 rounded to the nearest 100000? -95800000 Round -275195500 to the nearest one million. -275000000 Round -60.278365 to the nearest integer. -60 Round 45989120 to the nearest 100000. 46000000 What is -1997.2653 rounded to the nearest 10? -2000 What is -15230270 rounded to the nearest 1000000? -15000000 What is 42684800 rounded to the nearest one hundred thousand? 42700000 Round -238.82 to the nearest ten. -240 Round 290392000 to the nearest one million. 290000000 Round 0.00066168 to 5 decimal places. 0.00066 Round 379571.1 to the nearest 1000. 380000 What is -152911900 rounded to the nearest one hundred thousand? -152900000 Round -946953.1 to the nearest 1000. -947000 What is -8336.843 rounded to the nearest ten? -8340 Round -119950.66 to the nearest 100. -120000 What is 124385750 rounded to the nearest 100000? 124400000 Round 0.0213672 to four decimal places. 0.0214 What is 0.13435 rounded to four decimal places? 0.1344 Round 0.0000001693903 to 7 decimal places. 0.0000002 What is 0.0000402651 rounded to 6 decimal places? 0.00004 Round -2190468.5 to the nearest one hundred thousand. -2200000 What is 0.00003713284 rounded to 5 dps? 0.00004 Round -0.001289704 to four dps. -0.0013 What is -0.000000465408 rounded to seven decimal places? -0.0000005 What is 153.7073 rounded to one decimal place? 153.7 Round -4.36025 to 1 dp. -4.4 What is -0.0130259 rounded to 4 decimal places? -0.013 What is 0.000006369228 rounded to 7 dps? 0.0000064 Round 11.85651 to 1 decimal place. 11.9 Round 318.57317 to 0 dps. 319 What is -56.7968 rounded to the nearest ten? -60 Round 162829500 to the nearest one million. 163000000 Round 386.2945 to the nearest integer. 386 Round 12.3099 to 2 dps. 12.31 What is -0.0007268842 rounded to 5 dps? -0.00073 Round 235.5959 to the nearest 10. 240 Round 798611600 to the nearest one hundred thousand. 798600000 What is 4436140 rounded to the nearest one million? 4000000 Round 10921.256 to the nearest one thousand. 11000 Round -0.00007111798 to six decimal places. -0.000071 What is -1461.637 rounded to the nearest one hundred? -1500 What is 29198.64 rounded to the nearest 100? 29200 What is 474394.6 rounded to the nearest 100000? 500000 What is -0.0397063 rounded to 3 dps? -0.04 Round -0.0007297485 to four dps. -0.0007 What is 30850.192 rounded to the nearest 10? 30850 Round 11644.7 to the nearest one hundred. 11600 What is -3008061 rounded to the nearest one hundred thousand? -3000000 Round 0.02747593 to five dps. 0.02748 Round 0.1979995 to 4 decimal places. 0.198 What is 1897195.3 rounded to the nearest 1000000? 2000000 Round -702971.85 to the nearest one hundred thousand. -700000 What is 0.01357467 rounded to 4 dps? 0.0136 What is 0.0423227 rounded to three dps? 0.042 Round -601.94588 to the nearest 100. -600 Round -0.281172 to one decimal place. -0.3 What is 7.3227 rounded to 2 decimal places? 7.32 What is 7008.39 rounded to the nearest one thousand? 7000 Round -3209896000 to the nearest one million. -3210000000 What is 946943 rounded to the nearest 1000? 947000 Round -2.3616308 to two dps. -2.36 Round 2454340 to the nearest ten thousand. 2450000 Round 0.00000550364 to six dps. 0.000006 What is 0.014230712 rounded to five decimal places? 0.01423 What is -69527100 rounded to the nearest one million? -70000000 Round 779.719 to zero dps. 780 Round 2164760 to the nearest 1000. 2165000 What is -43859 rounded to the nearest ten thousand? -40000 Round 18016110 to the nearest 10000. 18020000 Round -0.467145 to 3 decimal places. -0.467 Round 0.6645159 to 1 dp. 0.7 What is 0.05390963 rounded to 2 decimal places? 0.05 What is -2.2521996 rounded to two decimal places? -2.25 Round -7865105 to the nearest 10000. -7870000 Round 6.76897 to one decimal place. 6.8 What is 4.82761 rounded to one dp? 4.8 What is -0.708389 rounded to 1 dp? -0.7 What is -0.00922961 rounded to 3 decimal places? -0.009 Round -931.3509 to the nearest integer. -931 What is 0.04316095 rounded to 3 decimal places? 0.043 Round 51.09035 to the nearest ten. 50 What is 835535.8 rounded to the nearest one hundred? 835500 Round 0.2860688 to 4 dps. 0.2861 Round -0.20265618 to two decimal places. -0.2 Round -2.21338 to 0 dps. -2 What is -17044.517 rounded to the nearest 1000? -17000 What is 0.018453015 rounded to 5 dps? 0.01845 Round -0.001519337 to six dps. -0.001519 What is -0.1634225 rounded to 3 dps? -0.163 Round -0.0000539033 to five decimal places. -0.00005 What is 0.012778509 rounded to three dps? 0.013 Round -1.1375171 to four decimal places. -1.1375 What is 0.000240673 rounded to six decimal places? 0.000241 What is 0.0000984021 rounded to six dps? 0.000098 What is 7553.3 rounded to the neare
{ "pile_set_name": "DM Mathematics" }
Is j at least 2? True Let j be (1 - -2) + 1/(-1). Let g be j - 3 - (-1579)/(-8). Let z = -198 - g. Which is smaller: z or 1? z Let u be 10/(6/(-3))*1. Let v be u*2/6*-3. Is v > -0.1? True Let k = -1945/14 - -139. Suppose 4*w + 20 = -3*v + 7*v, 4*w - v = -8. Which is greater: k or w? k Let j be 2/3*15*(-1)/13. Is j at least -2? True Let s be 1716/1755 + (-2)/(1*2). Is -1 not equal to s? True Let j = 80 - 54. Suppose 5*f - 44 = j. Let s = f + -41/3. Which is bigger: -3/2 or s? s Let w(r) = -r**3 - 15*r**2 - 13*r - 6. Let q be w(-14). Is q less than or equal to -1/4? True Suppose -5*m = l + 4*l - 15, -5 = -5*l. Let k be ((-1)/m)/(55/20). Which is smaller: 0 or k? k Suppose 0 = 5*m - 5 - 0. Which is greater: 1.2 or m? 1.2 Let y = -67 - -738/11. Let w = y + -13/22. Do w and -2 have the same value? False Suppose -7*g = -3*g + 4. Do g and 2/25 have the same value? False Suppose 0*u + 5*y = 3*u - 20, 2*y - 13 = -3*u. Let t = 15 + -11. Is u < t? False Let i = 623/4 + -155. Let y = -1.5 - -0.5. Is y != i? True Suppose 0 = -c + 5*z - 3, c = -4*z - 7 - 23. Do -18 and c have different values? False Let c = 3/2 - 2. Is 0.1 less than c? False Let g be (-4)/(-126)*12/(-16). Which is smaller: 0 or g? g Let k be -4 + 6/(6/3). Suppose 5*r = -2*y - 33 - 0, -5*y - 2*r - 30 = 0. Is k less than or equal to y? False Let i be ((3078822/8)/(-3))/(-25). Let a = 5131 - i. Let u = -3/25 - a. Is 1 < u? False Let f be (-13)/(702/(-132))*-2. Which is bigger: -0.1 or f? -0.1 Let g = 1.6 - 1.6. Which is smaller: -12 or g? -12 Let s(a) = 5*a + 2. Let m be s(-2). Let h be 4/6 - m/(-12). Let f = 43/4 - 11. Does f = h? False Let c(j) = 5*j + 10*j**2 - 1 + 4 - 4*j**2 - j**3. Let m be c(5). Let s = -161/3 + m. Which is smaller: 1 or s? s Let w = -1 + -91. Let m = 23608/9 + -45557/18. Let d = m + w. Is d at most as big as 0? False Let z(d) = -d**2 + 16*d + 13. Let y be z(17). Which is smaller: y or -6? -6 Let d be ((-5)/(-10))/((-2 + 0)/54). Which is bigger: -13 or d? -13 Let p = -14.2 + 15. Which is smaller: 0 or p? 0 Let s = 2 - -1. Let l be s*(-2 - (-13)/7). Does l = 0? False Let r = 58 + -59. Is r greater than or equal to -1/2? False Let g = -6.8 - -7. Let j = g - -0.7. Let w = j + -1. Is -0.1 not equal to w? False Let q = -1 - 3. Let v = q + 5. Which is greater: v or 3/2? 3/2 Let w = -0.17 + 0.07. Let i = w + 0.9. Let q = i - 0.74. Which is smaller: -1/3 or q? -1/3 Let y(b) = b + 1. Let t be y(1). Suppose -2*s - t = -4. Are -2/15 and s non-equal? True Let h = -4/147 - 2197/294. Is -8 bigger than h? False Suppose 0*m - m - 1 = 0. Which is smaller: 2/175 or m? m Let c = -126 + 5797/46. Is c at least -1? True Let a be (-6)/(2/(-2) - 1). Suppose 1 + 2 = -a*m. Which is smaller: 2/11 or m? m Let a = 20 - 14. Is 2 at least a? False Suppose 5 = -3*z - 4. Let f = 1 + -1. Suppose f*v - 5 = v - j, j = 4. Which is smaller: z or v? z Let j = -1/801 - -713/801. Let w = -5/9 + j. Which is bigger: 1/2 or w? 1/2 Let m be 4/10 + (-6)/(-10). Let r = 737 + -50852/69. Let g = r + 133/345. Which is bigger: g or m? m Let s = -6.1 - -6. Let b = -4 - -4.2. Let o = b + s. Is 2 at least o? True Let r be 1 + 0/(-2 + 0). Let m(t) = 5*t**3 + 1 + 4*t**2 - 4*t**2 - 2*t**2. Let n be m(r). Which is greater: 3 or n? n Let p = 0.59 - 0.09. Let m = 0.7 - p. Which is greater: m or 1/7? m Suppose 3*a = 7 - 1. Which is greater: a or 30? 30 Suppose 2*b + 0*b = 0. Suppose 0 = 5*i - 5*h + 20, 3*h - 2*h - 5 = b. Are -1 and i nonequal? True Let h = 9 + -9. Let z = -0.01 - 0.29. Let r = h + z. Which is greater: 0 or r? 0 Let p = 4 + -3. Let o = -50 - -50. Are o and p non-equal? True Let x(t) = -t**2 + 7*t - 1. Let v be x(7). Let p be v + 3 - 3/2. Which is smaller: -0.3 or p? -0.3 Suppose 4*b + 0 - 8 = 0. Let g be 4/3*(-15)/b. Is -10 at most g? True Let m = -8 + 13. Suppose 2 = a - 0*a. Suppose 6 = 2*r - a. Which is smaller: r or m? r Suppose -33 = -2*f + t, 0*f - 3*t = 4*f - 51. Do 14 and f have the same value? False Let f = 2 - 0. Suppose -5*l + 38 + 2 = 0. Let w be (-1*l/(-18))/f. Is 0 < w? True Suppose 3*v + 1 = 13. Let t be (2/v)/((-5)/10). Are -6/11 and t equal? False Let k = -8 - -9. Is 1/3 less than k? True Let a(y) = 4*y**2 - 3*y - 2. Let n be a(3). Let i be ((-2)/5)/(40/n). Which is smaller: 0.02 or i? i Let c(r) = -r - 4. Let v be c(-4). Suppose w = -v*w. Suppose w*u = -4*u. Which is greater: 1/5 or u? 1/5 Let z(t) = t**2 - 6*t - 1. Let o be z(6). Let h be (o/3)/(4/(-12)). Which is greater: -3 or h? h Suppose 0 = -0*h - 2*h + 4. Suppose -3 - 5 = -h*p. Is 3 greater than p? False Suppose -3*b + 7*b - 4 = -4*a, -b = 5*a - 13. Let v = -4 + a. Let k = 1 - 4. Do v and k have different values? True Let q be 1/4 + -3 - (-24)/32. Suppose 5 = -3*r - 7. Is q <= r? False Suppose 2*v - 7*v + 10 = 0. Let h = -9 + 11. Is v at least as big as h? True Suppose m = -3*m. Which is greater: -1/8 or m? m Suppose 0 = -5*d - 5*w - 30, -3*d - 16 = -d - 2*w. Which is smaller: -6 or d? d Let k be ((-14)/49)/((-2)/56). Is 8 at least k? True Let v(b) = 2*b**2 + 7*b + 13. Let h be v(-4). Which is smaller: 18 or h? h Let o be 2/13 + (-300)/(-78) + -12. Is -2 at least o? True Let m be -1 + 0 + 3 - 88. Let b = -689/8 - m. Suppose 2*w - 2 = -0*w. Do b and w have different values? True Let h be (-1)/3 + 2/(-4). Let r = h - -1/3. Are r and -1 non-equal? True Let r = 8 + -7. Is 14/9 >= r? True Let m(q) be the third derivative of q**4/24 + 5*q**3/6 + q**2. Suppose 0*y + 2*y = 2*k - 4, 0 = -5*y - 2*k - 24. Let c be m(y). Which is smaller: 4/9 or c? 4/9 Suppose -y + 5*o + 25 = 0, -y + 4 + 1 = -o. Let l be (y + (-6)/(-4))*2. Suppose -5*t - l = -2*t. Which is bigger: t or 2/7? 2/7 Let o = -0.02 + 6.02. Let q = o + -5.8. Are q and -1 unequal? True Let f be 15*(-1)/198*-251. Let x = -113/6 + f. Let h = -173 + 172. Is x at most h? False Suppose 4*l - 16 = k, 5*l - 20 = k + k. Which is smaller: -1 or l? -1 Let c be (-7)/(-84)*-2*4/(-14). Which is bigger: c or -0.1? c Let i = 14 - 8. Let a = i - 5. Which is bigger: 0.2 or a? a Let m be (-8)/(-20) + 234/15. Is 18 greater than m? True Suppose 5*o = 5*f + 35, -o + 9 = -2*f + 3*f. Which is smaller: 10 or o? o Let o = -14 - -16. Let z = o - 2.1. Is z >= -5/2? True Let k = 0.45 + -0.4. Which is bigger: k or 5/6? 5/6 Let s be 1/(((-3)/(-1))/(-9)). Let o = -6 - -4. Let x be (-44)/24 + o/(-6). Which is bigger: x or s? x Let n(p) = -p**3 - 7*p**2 - 7*p - 3. Let m be n(-6). Suppose -m*s - 21 = -0*s. Suppose 0 = 4*u + 121 - 93. Are u and s non-equal? False Let b = 8 + -6. Let z = -0.66 + 0.56. Which is smaller: z or b? z Let u = -52 - -27. Which is greater: -26 or u? u Suppose 112 = 4*y - 0*y. Let w be (y/10 - 3) + 2. Which is smaller: w or 3? w Let t(b) be the second derivative of b**5/20 + b**4/3 + 2*b**3/3 + 3*b**2/2 - 2*b. Let u be t(-3). Is u <= 1/22? True Let m = 13/3 + -13/2. Which is greater: -1 or m? -1 Let c be (24/29130)/(2/(-5)). Let q = -2879/16507 + c. Which is smaller: q or -1? -1 Let w = -169 + 2199/13. Is 1 equal to w? False Let f be (-2 + 2)*1/(-3). Suppose 0 = -z - 4 - f. Which is greater: -3 or z? -3 Suppose 2*f + 2*s - 128 = 0, -4*f + 5*s = f - 310. Let t be 14/18 + 14/f. Suppose -4*u = 3*o - 2*o - 4, 2*u - 16 = 3*o. Which is smaller: t or u? t Suppose 2*f = -2*f - 4. Which is smaller: f or 3? f Let a = 68 + -68. Let z be 1/(4/((-12)/27)). Which is greater: z or a? a Let v = 0.79 + -4.49. Let b = -0.7 - v. Which is greater: 1 or b? b Let r = 12 - 10. Suppose 2*o = o - r. Which is smaller: -3/2 or o? o Suppose 3*a - v = -0 - 12, -2*a + 2*v - 12 = 0. Let k be (-1)/a + (-65)/15. Let d = -4 - -1. Which is smaller: d or k? k Let l = 9 + -8. Which is smaller: -2/29 or l? -2/29 Let i = 17 - 17.1. Let o = -0.1 - -0.3. Let h = o + i. Do -1 and h have the same value? False Let a(x) = 4*x - 3. Let h be a(2). Does 0 = h? False Let f = -76/135 + -1/27. Is f greater than -1? True Let s be 6/4*(-4)/6. Let y(a) = a + 1. Let i be y(s). Is i less than -1/14? False Let h = 0.022 - 7.022. Is h >= -0.2? False Let p be (0 - 1/(-4))*-1. Let h = -12 + 14. Suppose 0 = 4*u - h*u. Which is smaller: p or u? p Let z = 2008 - 845370/421. Let y = 5900/1263 + z. Is y greater than 5? False Let u be -5*(-2 - (-9)/5). Suppose 4*n = b + 2 + u, -5*n - 2*b + 20 = 0. Which is bigger: n or 5/4? n Let v be ((-3)/(-2))/(3/2). Let u be ((
{ "pile_set_name": "DM Mathematics" }
- 70*m**2 - m - 13. Suppose z(p) = 0. Calculate p. -16/3, -3, -1 Let w be 18/(-27)*3*6/(-4). Factor -5 - 15 - 8*q + 5*q**2 + 15*q**w + 10 + 5*q**4 - 7*q. 5*(q - 1)*(q + 1)**2*(q + 2) Let m = 2199 + -24188/11. Let z(s) be the first derivative of -1/33*s**6 + 7/11*s**2 + 16/33*s**3 + m*s**4 - 4/55*s**5 + 4/11*s + 15. Factor z(r). -2*(r - 2)*(r + 1)**4/11 Let n(w) be the third derivative of w**7/4200 - w**6/900 + w**5/600 - 11*w**3 - 49*w**2. Let r(c) be the first derivative of n(c). Factor r(l). l*(l - 1)**2/5 Determine z so that -41/2*z - 1681/4 - 1/4*z**2 = 0. -41 Let w be (-147)/273*(3 + (-19)/2). Factor -w*t - 2 - t**2 + 1/2*t**3. (t - 4)*(t + 1)**2/2 Let z(s) be the first derivative of s**4/3 + 2060*s**3/9 - 2*s**2/3 - 2060*s/3 + 264. Solve z(l) = 0 for l. -515, -1, 1 Let 999*m**2 + 231*m**3 + 234 - 979 - 13*m**4 + 840*m + 469 + m**4 = 0. What is m? -2, 1/4, 23 Let h be -10 + (3/(-2))/(6/(-20)). Let i be (-3 + (0 - -3))/(10/h). What is y in -1/2*y**5 + 32*y**2 + 6*y**4 + 0 - 24*y**3 + i*y = 0? 0, 4 Let -8/9*d - 4/9*d**3 + 14/9*d**2 - 2/9*d**4 + 0 = 0. What is d? -4, 0, 1 Suppose 0 = 3472*b - 3480*b + 75072. Let o be (-1)/6 + 2668/b. Factor 10/17*l - 14/17*l**2 + 6/17*l**3 - o. 2*(l - 1)**2*(3*l - 1)/17 Let u(g) be the first derivative of 2*g**6/3 - 32*g**5/5 + 17*g**4 - 40*g**3/3 + 879. Suppose u(c) = 0. Calculate c. 0, 1, 2, 5 Let d be 29*-1 - (-34)/(-17). Let f = d - -34. Factor 27*x**2 + 1 + f - 15*x**2 + 6*x - 10*x**2. 2*(x + 1)*(x + 2) Solve 18*l**2 + 2*l**2 + 3055 + 5*l + 10*l - 3060 = 0. -1, 1/4 Let b be ((-32)/(-40)*-2)/(21/(-20)). Let h = b + -76/105. Factor h*y**5 - 6/5*y**4 + 0*y + 0*y**3 + 2/5*y**2 + 0. 2*y**2*(y - 1)**2*(2*y + 1)/5 Factor -8*a**2 + 251*a**2 + 926*a + 22*a**2 + 2 + 4 + 43*a**2. 2*(a + 3)*(154*a + 1) Let t(p) = -3*p**3 - 9*p**2 - 14*p + 34. Let m(v) = -38*v**3 - 109*v**2 - 175*v + 407. Let f(g) = 2*m(g) - 25*t(g). Factor f(d). -(d - 6)*(d - 3)*(d + 2) Let f(o) be the first derivative of 0*o + 95 - 75/4*o**2 - 5*o**3 - 3/8*o**4. Solve f(r) = 0. -5, 0 Let j(r) be the second derivative of -16*r**7/189 + 8*r**6/135 + 47*r**5/90 - 28*r**4/27 + 19*r**3/27 - 2*r**2/9 - 1527*r. Solve j(s) = 0 for s. -2, 1/4, 1 Let f = -212 - -167. Let z be -2*3*6/f. Find h, given that 2/5*h**3 - 6/5*h + 0 - z*h**2 = 0. -1, 0, 3 Let y(v) = v**3 + 2*v**2 + 3*v + 1. Let r be y(0). Factor 5*h + 9 + r - 3 + 7 - h**2. -(h - 7)*(h + 2) Let s = 21713/48852 - 1/48852. Factor 4/9*u**2 - 4/9*u - s*u**4 + 4/9*u**3 + 0. -4*u*(u - 1)**2*(u + 1)/9 Let n be ((-1)/(-27) - (-52 + 166687/3348)) + (-42)/(-8). Suppose -3/2*b**4 + 6 - 9/2*b**2 + 15/2*b**3 - n*b = 0. What is b? -1, 1, 4 Suppose -4*l + 2*d = -10, -4*l - 3*d + 11679 = 11654. Let 0 - 32/9*n**2 - 1058/9*n**l - 368/9*n**3 + 0*n = 0. Calculate n. -4/23, 0 Let x(d) = -3*d**2 + d + 6. Let t(r) = -18*r**2 + 152*r - 1554. Let q(n) = -t(n) + 5*x(n). Solve q(w) = 0 for w. 16, 33 Factor -i**4 + 6434*i**2 - 90*i + 405 + 90*i**3 - 4*i**4 - 6834*i**2. -5*(i - 9)**2*(i - 1)*(i + 1) Suppose 0*d = -14*d + 70. Factor l**d + 2165*l**4 - 2162*l**4 - 3*l**2 - l**2. l**2*(l - 1)*(l + 2)**2 Let u be (-4)/(-18) - ((-962)/(-117) + -8). Let h be 14/(-3)*30/(-35) - u. Solve -33/7*b**2 - 10/7*b**3 - 1/7*b**h - 16/7 - 40/7*b = 0. -4, -1 Let x(z) = z**2 - z. Let h(b) = 2*b**2 + 5*b. Let p(c) = 10*c + 62. Let u be p(-6). Let k(q) = u*h(q) - 6*x(q). Factor k(i). -2*i*(i - 8) Let j(n) = -n**3 - 205*n**2 + 3*n + 206. Let h(p) = p**3 + p**2 + p. Let z(b) = -h(b) + j(b). Suppose z(g) = 0. Calculate g. -103, -1, 1 Factor 577*f - 30911 + 117*f - 136*f + 30215 + 1060*f + 14*f**2. 2*(f + 116)*(7*f - 3) Let z = 632 + -655. Let l(r) = 15*r + 345. Let m be l(z). Solve 4/7*p**5 - 4/7*p**2 + 10/7*p**4 + 0 + m*p + 2/7*p**3 = 0. -2, -1, 0, 1/2 Let s(m) be the first derivative of -m**6/10 + m**4/4 - 89*m - 41. Let p(w) be the first derivative of s(w). Factor p(o). -3*o**2*(o - 1)*(o + 1) Let l(m) = 2*m + 13. Let k(u) = u + 4. Let c(g) = 7*k(g) - 2*l(g). Let j be c(0). Factor -16*w**2 + w + 0*w + 15*w**j. -w*(w - 1) Suppose 0 = -25*s - 47 + 97. Let q(g) be the first derivative of 14 + 1/3*g**3 + 5*g - 3*g**s. Find k, given that q(k) = 0. 1, 5 Let x(d) = 2*d**2 + d. Let j(p) = -3*p**2 - 26 + 9*p + 17*p**2 - p**3 + 26. Let l(q) = 2*j(q) - 18*x(q). Let l(a) = 0. Calculate a. -4, 0 Let s(h) = -7*h**2 - 142*h - 15. Let z(t) = -8*t**2 - 142*t - 18. Let d(q) = -6*s(q) + 5*z(q). Factor d(b). 2*b*(b + 71) Suppose -5*u + 29*u + 36 = 84. Let l(m) be the second derivative of 0 - 37*m + 1/6*m**3 + 0*m**5 - 1/60*m**6 + 1/8*m**4 + 0*m**u. Factor l(s). -s*(s - 2)*(s + 1)**2/2 Suppose -74/15*c - 52/5 - 2/15*c**3 + 16/3*c**2 = 0. Calculate c. -1, 2, 39 Let f(c) be the third derivative of -c**6/480 - 481*c**5/60 - 231361*c**4/24 + 29*c**2 - c + 5. Solve f(r) = 0 for r. -962, 0 Factor -1211*i - 18*i**2 + 363*i + 257*i + 99. -3*(i + 33)*(6*i - 1) Factor 22/3 + 21/2*q**2 + 1/6*q**4 + 8/3*q**3 + 46/3*q. (q + 1)*(q + 2)**2*(q + 11)/6 Suppose 2*u + 10 = 4*s, 4*s - 19*u = -16*u + 7. Let a(d) be the first derivative of 1/15*d**5 - 1/6*d**s + 1/3*d**2 + 21 + 0*d**3 - 1/3*d. Factor a(t). (t - 1)**3*(t + 1)/3 Factor 5/2 + 11/4*p + 1/4*p**2. (p + 1)*(p + 10)/4 Suppose 0 = -5*n + 20, 0 = -4*r - 0*r - 4*n - 264. Let s be (-12)/(-56) - 20/r. Factor -4*u**3 - 11/4*u**2 + 0 - s*u - 7/4*u**4. -u*(u + 1)**2*(7*u + 2)/4 Let s = -20/73 + 644/219. Let n be -11 + 3197/207 - (-1 + 5). Factor -n*h**2 + s + 4/9*h. -4*(h - 3)*(h + 2)/9 Let p(i) be the second derivative of -1/130*i**5 - 1/195*i**6 + 0 + 0*i**2 + 1/39*i**3 + 52*i + 1/78*i**4. Factor p(n). -2*n*(n - 1)*(n + 1)**2/13 Let 0*o + 2/7*o**4 + 0 - 412/7*o**2 - 410/7*o**3 = 0. What is o? -1, 0, 206 Let i(g) be the first derivative of 4*g**5/5 - 42*g**4 - 4*g**3/3 + 84*g**2 + 73. What is m in i(m) = 0? -1, 0, 1, 42 Let y(n) be the first derivative of -5*n**4/16 + 15*n**3/4 - 5*n**2 + 628. What is g in y(g) = 0? 0, 1, 8 Let m be 8/(-32) + 1771743/2604. Solve -m*p + 36501/7 - 3/7*p**3 + 207/7*p**2 = 0 for p. 23 Suppose -y + l + 151 = 147, 0 = 5*y + 4*l - 2. Factor 4/5*x + 6/5 - 2/5*x**y. -2*(x - 3)*(x + 1)/5 Let h(x) be the second derivative of -x**4/36 - 127*x**3/18 - 296*x. Determine w, given that h(w) = 0. -127, 0 Suppose -2*v**5 - 5092611 + 1268*v**3 - 618*v**3 - 11508589 + 136*v**4 + 1364*v**3 - 130228*v**2 - 2953720*v = 0. Calculate v. -14, 55 Let p(x) be the first derivative of -x**5/30 + x**4/6 - 27*x**2 + 37. Let s(d) be the second derivative of p(d). Factor s(m). -2*m*(m - 2) Suppose 34*d - 14 = 27*d. Determine r, given that -87*r - 4*r + 0*r**2 + 1352 - r**d + 3*r**2 - 13*r = 0. 26 Let m(h) be the first derivative of 2*h**3/21 + 292*h**2/7 + 42632*h/7 + 1416. Let m(j) = 0. Calculate j. -146 Let z(t) be the first derivative of t**4/24 - 3*t**3/2 + 47*t**2/12 + 25*t/2 + 8553. Find q, given that z(q) = 0. -1, 3, 25 Factor -5*m**4 - 154258 + 2*m**3 - 80*m + 154338 + 18*m**3. -5*(m - 2)**3*(m + 2) Let v(m) be the second derivative of 15552*m**5/25 - 72*m**4/5 + m**3/10 - 4055*m. Factor v(x). 3*x*(144*x - 1)**2/5 Suppose 0 = -5*n - c + 6*c - 10, 4*c - 12 = 0. Suppose n = -2*q + 3*q, -8 = -d - 5*q. Factor 301*y - 8*y**d + 23*y**3 - 5 + 25*y**2 - 296*y. 5*(y + 1)**2*(3*y - 1) Let d = 386381/2360628 + -21/11404. Let n = d - -13/46. Factor n + 4/3*r**2 + 26/9*r. 2*(r + 2)*(6*r + 1)/9 Suppose 0 = 12*o - 56*o + 9*o + 24*o. Let 4/5*t**3 + 8/5*t - 18/5*t**2 + o = 0. Calculate t. 0, 1/2, 4 Let a = -18/7225 + 5834/21675. Solve -a*r**3 + 2/5*r**4 + 0 + 0*r**2 + 0*r = 0 for r. 0, 2/3 Suppose 26*a - 65 - 49 = -36. Factor 1/2*h**a + 13/2*h + 3 + 4*h**2. (h + 1)**2*(h + 6)/2 Let v(x) be the first derivative of -x**6/51 - 4744*x**5/85 - 1877041*x**4/34 - 993571940*x**3/51 - 987950300*x**2/17 - 986078000*x/17 + 795. Factor v(t). -2*(t + 1)**2*(t + 790)**3/17 Let s(p) = 56*p - 3*p**3 + 57*p + 2*p**2 - 94*p - 13 - p**2. Let j(a) = -6*a**3 + 3*a**2 + 39*a - 27. Let o(h) = 4*j(h) - 9*s(h). Solve o(u) = 0. -3, 1 Let w = 3/34474 + 103401/241318. Suppose -5*b = -2*b - 9. Factor -3/7*h**4 + 0 + 1/7*h**b + 1/7*h**5 - 2/7*h + w*h**2. h*(h - 2)*(h - 1)**2*(h + 1)/7 Let j = -10/671 + 2171/100650. Let h(f) be the third derivative of 0*f**3 + 0*f - 1/1050*f**7 - j*f**6 - 11*f**2 - 1/60*f**5 - 1/60*f**4 + 0. Factor h(k). -k*(k + 1)**2*(k + 2)/5 Let h(y) = -
{ "pile_set_name": "DM Mathematics" }
+ 10 = t + x, 5*y = -3*t for t. -5 Suppose 232*n - 213 = 457 + 258. Solve -5*j = 2*u + 21, -3*u - 49 = -n*j - 52 for u. -3 Suppose -15*b + 86 = -4. Suppose 92*m - 90*m = b. Solve h - 12 = m*k, -5*k + 2*h - 16 = -h for k. -5 Let a(o) = 24*o - 4. Let f(p) = p. Let j(h) = a(h) - 12*f(h). Let d be j(5). Let n = 61 - d. Solve 5*w + 23 = -u, 5*u = n*w + 5 - 0 for w. -4 Let p be 7/(84/(-9)) + 441/28 + -5. Solve 4*r - 5*z - 2 = 0, -r + 13 = 15*z - p*z for r. 3 Let n(y) = -5*y**3 - 11*y**2 + 5*y + 16. Let r be n(-1). Solve 9*v - 15 = r*h + 4*v, 4*h + 4*v - 28 = 0 for h. 2 Let a = -47 + -49. Let r = a + 120. Solve 2*c - 7 + 35 = -5*z, 2*z = -4*c - r for c. -4 Suppose 35 = -h + 2*h. Suppose -4*n + h*z = 39*z - 20, 0 = z. Solve g - n*l - 6 = -21, -g + 15 = 5*l for g. 0 Let o(d) = 2*d**2 + 7*d + 14. Let n be o(-6). Let v = -43 + n. Suppose 0 = 3*g - 5 - v. Solve -k - a + 1 = 0, k + 0*a = -g*a - 2 for k. 4 Suppose w - 12*w + 119 - 31 = 0. Solve y + 407 = -3*a + 409, -3*a + 5*y + w = 0 for a. 1 Let n = -1140 + 1143. Solve 5*q = -5*y - 5, -3*y + 29 = -n*q + 8 for y. 3 Let p be (-76 + 0/4)*((-78)/24)/13. Solve g = -p*q + 24*q - 5, 3*q - 3*g - 3 = 0 for q. 1 Suppose 5*q = 23 + 2. Suppose 2*t = 100*t - 392. Suppose -q*w + 54 = t*w. Solve -f = 2*f - 5*m + w, -8 = 4*f - 2*m for f. -2 Let q(x) be the first derivative of -x**4/2 - 10*x**3/3 - x**2/2 - 3*x + 153. Let s be q(-5). Solve -o - s = 0, 0 - 2 = 3*m + o for m. 0 Let f = -1 - -5. Suppose z - 2*k = 10, -f*z + 5*k - 2*k + 20 = 0. Let l(h) = -2296*h + 4594. Let d be l(2). Solve -z*t = 8, -d*o - 19 = -o + 5*t for o. 1 Suppose -80 = -2*p + 2*j, -p + 3*j + 0*j + 32 = 0. Let a be 578/(-14) - (-2)/7. Let r = p + a. Solve 5*q - 35 = 5*d, -4 = 2*q - r*d - 20 for q. 5 Let x be (-1)/3 - 1400/(-60). Suppose 4*s - x - 33 = -4*r, -5*r + 62 = s. Suppose 15*q = r*q + 15. Solve 2*w - 5*w - 26 = 5*g, -22 = q*g + w for g. -4 Suppose 2*o + 134 = -3*b, -27 = 4*b - 2*o + 161. Let v = b + 48. Suppose -v*y + 8*y - 66 = 0. Solve 5*d + 3*r = y, -r + 6 = -3*r for d. 4 Suppose -2*j - 5*p + 6*p - 7 = 0, 0 = -5*j - p. Let i be (-2 - (-1 + j))/((-23)/23). Solve -2*s + 3*s + 5*h + 15 = i, -15 = 3*s + 5*h for s. 0 Let k(j) = 2464*j - 14784. Let y be k(6). Solve -v = -6*x + 4*x + 6, y = 3*v + 2*x - 14 for v. 2 Suppose 4*i = 5*n - 318, 3*n + 2*i + 2*i = 210. Suppose -5*l + 14 = -n. Let v = 16 - l. Solve 5*a = 4*g + 3*a - 10, 3*g + a = v for g. 1 Let j be 1 + (0 + 0 - 1). Suppose 5*k - 22 = -4*s, -s - 14*k = -10*k - 11. Solve -s*x - 32 = x + 4*n, j = -2*x + 2*n - 4 for x. -5 Suppose r + 61 = -3*y, 10*y + 84 = 6*y - 4*r. Let j be 5 + 65/y + 2/8. Solve x + 8 = 5*b - 0*x, -j*b - 4*x + 12 = 0 for b. 2 Suppose -3*h - 58 = -2*x, 181*h - 12 = 184*h. Solve 5*q - x = -b + 2*b, 4*b - 18 = -2*q for q. 5 Let w be (532/20 - 3) + 12/30. Suppose -4*z - w = -j, 2*j - 15 = z - 2. Solve v + 2*v = -j*x, -2*x + 6 = 3*v for v. 4 Let v be (-84)/(-33) + (-12)/22. Suppose 2*r + i - 2 = 3*i, -5*r - v*i = -40. Solve -3*p + 2*p - 6 = -3*c, 0 = 2*p + r for c. 1 Suppose -18*v + 38 = -20 - 32. Solve c + v*j + 13 = 0, -j - 30 + 27 = 0 for c. 2 Let f be -6 + 93/7 + 34/(-119). Solve 2*n = 4*c + 18, 7*n - c - 31 = -f for n. 3 Let i = -32 - -32. Let v(u) = -2*u**3 - 106*u**2 + u + 57. Let o be v(-53). Solve -w + o = a + 1, -w - 5*a + 11 = i for w. 1 Suppose -2206 + 214 = -157*v + 206. Solve -3 = 2*y - 5*p, -23 + v = -4*y - 5*p for y. 1 Suppose 2*r + z - 9 = 3*r, 4*r = -4*z - 12. Let u be 1/(6/34) + r/9. Solve 0 = -3*v - y + 9, -4*v - v + 15 = -u*y for v. 3 Suppose -3*v - 2 = -4*v, 3*d + 4*v = 125. Suppose 24*q - 9 - d = 0. Solve 5*z + 4*r = -5, -z - q + 1 = 4*r for z. -1 Suppose 0 = -2*a + 10 + 22. Suppose 11*g + 5 = a. Solve 4*j - 4*y = -16, 0*y = 4*j - y + g for j. 1 Suppose 428*q = 1131 + 1009. Solve -30 = -5*x - q*g, -6*g = -3*g - 12 for x. 2 Suppose -12*o + 99 = -o. Suppose o*y = -26 + 44. Solve -5*h - y*c = -33, 0 = -h - 4*c - 12 + 33 for h. 5 Suppose 1117 - 1032 + 1553 = 63*o. Let j be 1/((-1)/(-10)*2). Solve -o = j*u - 4*z, -2*u - u + 2 = 2*z for u. -2 Let h = 1 - 25. Let u be (1*(-2)/4)/(2/h). Suppose 3*m - 10 = -a, 3*a = -a + 5*m + u. Solve 0*q - 5*c - 15 = -5*q, 0 = -q - a*c - 7 for q. 1 Let c(g) = 2*g - 6. Let u be c(4). Suppose 0 = -5*d - 5, s + d - 51 = 3*d. Let z be (s/7 - 6) + 2. Solve 2*y - z*q - 4 = -1, -2*q + u = 0 for y. 3 Suppose l + 4*u + 729 = 0, 20*u - 18*u - 1438 = 2*l. Let r = 727 + l. Solve -v - 3 = 0, -3*y = -r*y - 4*v - 18 for y. -2 Let h be (-11)/(-6) + -2 - (-682)/132. Solve -h*x = -6*x - 5*p + 25, 5*x - 5 = -p for x. 0 Suppose -x = 4*n - 117, -4*x - 4*n = -544 + 172. Solve -f = -3*i - 5, 3*i + 10 = x*f - 89*f for f. -1 Let f(m) = m**3 - 6*m**2 + 7*m - 6. Let n be f(5). Let s = 16 + -16. Let u = s + 5. Solve -3*z - 10 = n*v, v + 7 = u*z - 8*z for z. -2 Let q = 7376 - 7373. Suppose 0*m + 4*m = 0. Suppose m*z = -2*z. Solve t = -0*t + q*i - 8, z = 5*t - 2*i - 12 for t. 4 Suppose -2*k - 3*x - 6 = 0, 2*k - 5*k = 2*x + 4. Solve -4*b + u + 16 = k, 0*b + 20 = 5*b - 4*u for b. 4 Suppose 24*v = -127*v + 302. Solve 0 = v*s - 3*o - 8, 4 = s - 10*o + 8*o for s. 4 Let t = 94 - 84. Suppose 166 - 126 = t*a. Solve -4*u + 2*c + 8 = 0, -a*u - 3*c = -8*c - 8 for u. 2 Let x = 54 - -37. Let y = -52 + x. Let l = -35 + y. Solve 5*d - 2 - 4 = 3*a, 2 = -l*d - a for d. 0 Let u be (-1071)/(-714) + 195/2 + -2. Solve d - u + 86 = -3*v, -5*d + 13 = v for d. 2 Let r = -3712 - -3715. Let i be 10*(3 + (-10)/4). Solve 2*n + c + 2*c = 14, -i*c = r*n - 22 for n. 4 Let m(x) = -22*x**3 - 308*x**2 - x + 12. Let y be m(-14). Let v = 26 - 4. Solve -2 = -5*w - v, -5*o - y = 4*w for o. -2 Suppose -411*p + 2380 = -406*p. Let m be 68/p + 1/(-7). Solve 3*s - 4*z = -m + 20, 3*z = -4*s + 10 for s. 4 Let u = 840 + -718. Suppose 2*i - u + 118 = 0. Solve 0 = 3*s + 2*z - 6 - i, 4*z = -2*s for s. 4 Suppose -11*i + 10*i + 32*i - 341 = 0. Solve 3*k = -15, -4*u - k - 14 = i for u. -5 Let t be (-1)/(-7) + 1971/511. Solve -5*p - 3*b + t*b - 15 = 0, -p - 22 = -4*b for p. -2 Let q = -8751 + 8753. Solve 24 = 4*k + q*g, -4*g = 4*k - 37 + 5 for k. 4 Let u(z) = z**3 - 6*z**2 + 65*z - 261. Let o be u(5). Solve -4*f - k = -o + 30, -2*f - k = -5 for f. 2 Suppose -415*c = 43*c - 1832. Solve -5*y = -4*z + 21 - 12, 0 = -c*y - 4 for z. 1 Let z = -153 + 153. Suppose 0 = -0*g - g - h + 6, -3*g - 5*h + 14 = z. Solve -2*f = -5*u + g, 4*u - f - 4 = -0 for u. 0 Suppose -6*y = -3*y + 18. Let f = y + -20. Let t = f - -29. Solve -i - 1 = 4*o - t, -2*o = 0 for i. 2 Suppose -o - 220 = -0*o + m, -4*o = 5*m + 876. Let y = o + 228. Solve z + 0*z - y*t + 19 = 0, 4*z - 9 = -t for z. 1 Let r be 297/(-22)*4/6 - -35. Solve -b + r*o - 20*o = -32, -2*b - 2*o - 20 = 0 for b. -4 Let o = 15919 + -15914. Solve 111 = o*t - 3*r + 119, -3*t = -3*r + 6 for t. -1 Let r = -10203 - -10223. Solve 21 = -a + x + r, 2*x = -2*a - 10 for a. -3 Let w(y) = -4*y - 25. Let v = -83 - -76. Let n be w(v). Suppose -96 = -4*q - n*s, -4*q + 0*s + 96 = s. Solve -3*l - 2*j + 13 = 0, 4*l + j = -3*j + q for l. 1 Let o be 78/(-4)*(-10)/(-15). Let j = 10 - o. Suppose j - 13 = 5*g. Solve -3*w = 4*s + 19, -3*w - g*s = s + 18 for w. -5 Let y = -13887 + 13925. Solve -y*i = -43*i - 4*o + 8, -3*i - o = -9 for i. 4 Let k = 96 + -154. Let t be 7/3 - 2 - (-160)/(-3). Let y = t - k. Solve -5*v + 5*x + 45 - 10 = 0, y*x - 5 = -5*v for v. 4 Let m(p) = 5*p**2 + 36*p - 21. Let s be m(-8). Let z(i) = i**3 + 4*i**2 - 3*i - 6. Let b be z(-4). Let h = s - b. Solve 2*u + 2*j = h*j - 13, 0 = 5*u - j for u. 1 Let u(y) = 3*y**2 - 24*y + 39. Let g be u(2). Solve -g*a - 5 = 4*z, -19 = -5*z - a - 39 for z. -5 Let q(a) = -a**2 + 13*a + 12. Let i(f) = -2*f + 1. Let c(s) = -3*i(s) - q(s). Let l be c(9). Solve -3*m + 5*d = m - 11, -l*m - d + 13 = 0 for m. 4 Suppose 0*y = 4*y - 4. Let u be 110/(-11) + (y - -1). Let c(a) = -4*a - 29. Let l be c(u). Solve l*m = 5*d, -m + 5*d + 7 = -3 for m. -5 Suppose 9*h = -15 + 33. Suppose -4*r - 6 = -7*g, 0 = 7*g - 5*g - 3*r + h. Solve -4*x + u + 16 = 2*u, g*x - u - 2 = 0 for x. 3 Let w(x) = -62*x + 5409. Let n be w(87). Solve -4*p + 0*p + 5*g + 25 = 0, n = -4*p - 3*g for p. 0 Let k(y) = y + 12. Let i = -18 + 27. Let f be k(i). Suppose -14*n + f*n - 21 = 0. Solve -24 = 5*d - 2*x + x, -n*d + 5*x = 32 for d. -4 Suppose 30*z - 26*z = 4*u + 44, 3 = -3*z - u. Solve -m
{ "pile_set_name": "DM Mathematics" }
te n(t(c)). 4*c**4 Let x(a) = -2*a**2. Suppose -4*r + 97 = -39. Let p = r + -27. Let i(k) = -p*k**2 - 17*k**2 - k**2. Give i(x(s)). -100*s**4 Let w(a) = a + 1. Let r be w(0). Let m(o) = -1 + 4*o + 2 - r. Let u(x) be the third derivative of -x**4/6 - 27*x**2. Determine u(m(q)). -16*q Let r(a) = 11*a. Let d(c) be the first derivative of -c**4/6 - 3*c**2 + 29. Let m(g) be the second derivative of d(g). What is r(m(q))? -44*q Let z(f) be the third derivative of -7*f**4/24 - f**2 + 86*f. Let o(b) = -17*b**2. Give z(o(t)). 119*t**2 Let h(z) = 300*z**2 - 547*z**2 - 2*z + 300*z**2. Let n(r) = -2*r. What is h(n(p))? 212*p**2 + 4*p Let q(m) = 14*m**2. Let b(o) = 4*o + 2. Let g(f) be the third derivative of f**4/24 + f**3/6 + 17*f**2. Let d(p) = -b(p) + 2*g(p). Calculate d(q(z)). -28*z**2 Let d(s) = 8*s**2. Let h(o) = -2*o + 4. Let i be h(0). Let j(r) = r - 3*r + i*r. What is d(j(n))? 32*n**2 Let q(r) be the first derivative of 59*r**3/3 - 2*r - 498. Let y(d) = 3*d**2. Determine q(y(g)). 531*g**4 - 2 Let u(m) = 13*m - 3. Let v(h) = -11*h**2 + 40. Give v(u(c)). -1859*c**2 + 858*c - 59 Let v(r) = 2*r. Let t(j) = 2397*j**2 - 11*j. Give v(t(z)). 4794*z**2 - 22*z Let h(o) = o. Let d(w) = -w + 5. Let p(i) = 36*i + 540. Let q(c) = -108*d(c) + p(c). Give h(q(m)). 144*m Let a(q) = -167842*q**2. Let n(o) = -o**2. Calculate n(a(g)). -28170936964*g**4 Let o(y) = 2*y**2. Let q(h) = 199*h**2 + 12*h + 3. Let i(a) = -26866*a**2 - 1616*a - 404. Let x(c) = 3*i(c) + 404*q(c). Give x(o(g)). -808*g**4 Let i(d) be the second derivative of -d**3/6 - 569*d. Let z(w) = -5*w + 2*w + 7*w. What is z(i(u))? -4*u Let m(y) = -24*y**2 + y + 50. Let j(l) = l**2. Determine m(j(x)). -24*x**4 + x**2 + 50 Let r(s) = 177553 - 2*s - 177553. Let w(j) = -6*j. Determine w(r(d)). 12*d Let k(c) = 22*c**2 + 2. Let b(o) = 734*o**2. Determine k(b(u)). 11852632*u**4 + 2 Let f(t) = -75*t. Let r(n) be the first derivative of n**3 + 298. Determine r(f(k)). 16875*k**2 Let q(y) = 3*y**2 + 5. Let z(m) = m**2 + 2. Let c(o) = -2*o + 10. Let w be c(6). Let p(d) = w*q(d) + 5*z(d). Let x(s) = -9*s + 3. Calculate p(x(h)). -81*h**2 + 54*h - 9 Let l(g) = -g**2. Let a(r) = -171 + 88 - 40*r - 212*r + 82. Give a(l(x)). 252*x**2 - 1 Let p be ((-2)/6)/(-1) + 32/12. Let f(s) be the second derivative of 0*s**2 - s - 1/3*s**p + 0. Let i(c) = -4*c. Give f(i(g)). 8*g Let v(r) = 10*r - 24. Let z(s) = -60*s**2. Give z(v(n)). -6000*n**2 + 28800*n - 34560 Let y(a) be the first derivative of -a**2/2 + 486. Let v(n) = 91*n + 4. Calculate y(v(m)). -91*m - 4 Let n(j) = 13*j. Let x(v) be the second derivative of -v**6/360 + 3*v**4/2 - 7*v. Let f(w) be the third derivative of x(w). Give n(f(l)). -26*l Let h(k) = 2*k. Let v(u) be the first derivative of -2*u**3/3 + 16*u**2 - 251. Calculate v(h(n)). -8*n**2 + 64*n Suppose 0 = 7*p + 7*p - 14. Let j(t) = 3*t + p - 3 + 2. Let x(y) = -2*y**2. Give x(j(c)). -18*c**2 Let p(i) = 266*i + 1. Let t(y) = -y**2 - 22. Give p(t(o)). -266*o**2 - 5851 Let r(q) = -4*q**2 + 10*q + 10. Let y(o) = o**2 - 3*o - 3. Suppose 0 = 8*g - 15*g - 70. Let k(i) = g*y(i) - 3*r(i). Let s(b) = -6*b. Give k(s(u)). 72*u**2 Let r(n) = -2*n. Let h(l) = l. Let o(p) = -4*h(p) - r(p). Let d be ((-6)/7)/(-3)*7. Let v(w) = 0*w**2 - 4*w**2 + w**d. What is o(v(g))? 6*g**2 Let m(j) = 331*j**2. Let f(p) = 77*p. Determine m(f(z)). 1962499*z**2 Let d(i) = 5*i**2. Let b(s) = 0 - 903*s**2 + 0 + 196*s**2 + 457*s**2. Calculate b(d(j)). -6250*j**4 Let l(d) = 9*d + 134. Let i(n) = 13*n. Give l(i(y)). 117*y + 134 Let s(t) = 4*t. Let k(r) be the second derivative of -r**4/6 - r**3/2 + 151*r. Determine s(k(g)). -8*g**2 - 12*g Let j(l) = l. Suppose 5*i + 2*q = -3*q + 10, 4 = 2*i - 3*q. Suppose -4 = -v + k, -v - i*k + 12 = -7*k. Let z(o) = -2*o**v + 8*o**2 + 2 - 2. Determine z(j(s)). 6*s**2 Let n = 37 + -33. Let p(q) = -q - 6. Let b(v) = -8. Let a(l) = n*p(l) - 3*b(l). Let x(d) = -7*d**2. Calculate a(x(u)). 28*u**2 Let y(p) = -4*p**2. Let u(n) be the third derivative of 49*n**5/60 - 2*n**2 + 6. Give u(y(i)). 784*i**4 Let j(i) = -5*i - 9*i - 12*i - 12*i + 31*i. Let a(v) = 4*v**2 + 1. Determine j(a(o)). -28*o**2 - 7 Let n(s) = 5*s - 2. Let m(g) = -24*g + 9. Let t(j) = -4*m(j) - 18*n(j). Let h(d) = d + 5. Calculate t(h(y)). 6*y + 30 Let y(w) = 3*w**2. Let g(x) = 1716*x**2 + x. Give g(y(h)). 15444*h**4 + 3*h**2 Let y(o) = -92*o. Let s(i) = -4*i + 7*i + i - 3*i. Calculate y(s(j)). -92*j Let p(o) = 18*o**2. Let w(x) = 2*x - 8. Let y(z) = z - 3. Let b(q) = q + 2. Let f be b(1). Let d(s) = f*w(s) - 8*y(s). Calculate p(d(u)). 72*u**2 Let x(g) = 17*g. Suppose -5*v + 2*v = -9. Let q(h) = 26*h**2 - 16*h - 16. Let n(w) = -5*w**2 + 3*w + 3. Let l(t) = v*q(t) + 16*n(t). Determine l(x(o)). -578*o**2 Let k(s) = 2*s**2. Suppose -21 = -0*d - 3*d + 3*f, -d = -5*f + 1. Let p(t) = -13*t - d*t + 19*t. Give p(k(g)). -6*g**2 Let k(n) = 92*n. Let i(r) = -948*r**2. Give i(k(d)). -8023872*d**2 Let b(n) be the second derivative of -11*n**3/6 - 127*n. Let y(w) = -12*w. What is b(y(s))? 132*s Let i(v) = -8*v + 20. Let y(a) = 10*a - 24. Let w(d) = -6*i(d) - 5*y(d). Let s(n) = 175*n**2. Give s(w(c)). 700*c**2 Let k(h) = -30*h**2. Let t(n) = -86*n + 12*n**2 + 200*n - 114*n. Determine k(t(b)). -4320*b**4 Suppose -5*s = j - 3*j - 20, -3*j - 19 = -2*s. Let b(t) = s*t - 5*t + 0*t. Let o(v) = -10*v**2. Give b(o(z)). 30*z**2 Let x(j) = -2*j**2. Let o = 11 - 4. Let b(p) = -468 - 469 - o*p + 937. What is x(b(y))? -98*y**2 Let r(g) = -8*g**2. Let z(f) = 3 - 9*f + 6 + 7*f. Calculate r(z(m)). -32*m**2 + 288*m - 648 Let g(p) = -656*p**2 - 6*p. Let c(v) = -10*v. Calculate c(g(w)). 6560*w**2 + 60*w Let q(w) = w. Let k(p) = 37*p**2 + 8*p - 12. Let a(s) = -73*s**2 - 14*s + 22. Let x(u) = -4*a(u) - 7*k(u). Give x(q(j)). 33*j**2 - 4 Let y(z) be the first derivative of 8*z**3/3 - 1. Let j(g) be the second derivative of 0*g**2 - g + 0*g**3 - 1/12*g**4 - 19. Calculate y(j(b)). 8*b**4 Let z(s) = 2*s**2 + 123087. Let v(d) = -12*d. Calculate v(z(l)). -24*l**2 - 1477044 Let n(s) = s. Let m(g) be the second derivative of 23*g**3/6 + 5*g**2/2 + 60*g + 1. Determine n(m(l)). 23*l + 5 Let w(q) = -7*q. Let b(y) = -4*y. Let x = -7 + 12. Let d(l) = x*b(l) - 3*w(l). Let u(z) = 139*z + 143*z - 281*z. Calculate u(d(c)). c Let d = -1129 - -1138. Let g(s) be the second derivative of 0*s**2 + 0 - d*s + 0*s**3 - 1/12*s**4. Let o(m) = -2*m. What is g(o(a))? -4*a**2 Let a(x) = 2*x**2 + 2041 - 1020 - 1023. Let m(v) = 2*v. Determine a(m(k)). 8*k**2 - 2 Let m(a) = -347*a**2. Let d(o) = 7*o**2. Let u(j) = -36*j**2. Let g(x) = 21*d(x) + 4*u(x). Give m(g(t)). -3123*t**4 Let o(c) = 2*c + 3. Let h(k) = 4*k + 7. Let d(m) = 3*h(m) - 7*o(m). Let l(x) be the second derivative of 5*x**4/12 + 82*x. Calculate d(l(u)). -10*u**2 Let h(p) = -20*p**2. Suppose 8*f = 3*f - 2*g + 2, 0 = -3*f + 2*g + 14. Suppose -2 = 2*k - 6. Let i(n) = 5 + f*n**k - 3 - 2. Determine i(h(v)). 800*v**4 Let m(j) be the third derivative of j**4/8 + 57*j**2. Let n(i) be the second derivative of -i + 0*i**3 - 1/6*i**4 + 0*i**2 + 0. Determine n(m(f)). -18*f**2 Let n(y) = -4*y. Let i(d) = -12384*d**2. What is n(i(o))? 49536*o**2 Let s(a) = 2 - 126*a + 128*a - 1 - 1. Let f(w) = 195*w**2. Determine f(s(p)). 780*p**2 Let w(v) = -9320*v. Let i(k) = -36*k**2. What is i(w(u))? -3127046400*u**2 Let d be (-20)/6*(-3)/2. Let c be 8/(-10)*d/(-2). Let i(f) = 3*f**2 - 2*f**c - 2*f**2 - 3*f**2. Let k(w) = -2*w**2. Calculate i(k(l)). -16*l**4 Let z be ((7 - 2) + -1)*2. Let u(w) = -15 - z*w + 27 - 12. Let v(t) = 5*t + 4*t - 6*t. Give u(v(x)). -24*x Let a(h) = h**2 + h. Let y = -49 + 44. Let p(v) = 6*v**2 + 5*v. Let j(z) = y*a(z) + p(z). Let c(l) = -2*l + 10. Calculate c(j(b)). -2*b**2 + 10 Let g(l) = -2*l**2 - 16*l - 3. Let i(b) = -13*b. Calculate g(i(p)). -338*p**2 + 208*p - 3 Let t(k) = -28735*k. Let j(g) = -18*g. Calculate j(t(y)). 517230*y Suppose -121 = -5*g - 2*u, 2*g + 3*g + 3*u = 124. Let h(j) = 23*j - 6*j**2 - g*j. Let r(w) = 3*w**2. Give h(r(n)). -54*n**4 Let w(s) = 2*s - 1. Let t(u) = -u - 900 + 900. What is t(w(g))? -2*g + 1 Let c(i) = 2*i. Let n(r) be the second derivative of 12*r + 0*r**3 - 11/6*r**4 + 0 + 0*r**2. Determine c(n(j)). -44*j**2 Let f(l) = 1. Let c(a) = -a + 6. Let g(x) = -c(x) + 6*f(x). Let v(n) be the third derivative of 2*n**5/15 - 753*n**2. What
{ "pile_set_name": "DM Mathematics" }
/sqrt(3))*2). 8*sqrt(17) Simplify 3 + 5*(2 + 1*(sqrt(704) + -4))**2. -160*sqrt(11) + 3543 Simplify (sqrt(204)/((sqrt(72)*-1)/sqrt(6)))**2 + sqrt(153)/(sqrt(9) + (sqrt(729) - (sqrt(729) - sqrt(729)*1))). sqrt(17)/10 + 17 Simplify (sqrt(1539) - (sqrt(1539) + sqrt(1539)*-4 + -2))**2 + 4*(sqrt(2299) + -2)**2. -32*sqrt(19) + 33840 Simplify (sqrt(416)/(sqrt(8) + sqrt(32)/sqrt(4)) + sqrt(104)/(-1*sqrt(2)))/(-6*(sqrt(100)*2 - sqrt(4) - sqrt(4))). sqrt(13)/96 Simplify ((sqrt(350) - (2*sqrt(350) + sqrt(350)) - sqrt(350))/sqrt(10))/(sqrt(10)/sqrt(50)). -15*sqrt(7) Simplify (-4*(1*sqrt(187) - sqrt(187))*4)/((sqrt(33) - (sqrt(33) - sqrt(99)/sqrt(3)*1))/sqrt(3)). 0 Simplify (sqrt(5445)*2)/(-1*sqrt(324)) - (sqrt(1815) - (sqrt(1815) + -2*sqrt(1815) - sqrt(1815)))/(sqrt(27)*1). -44*sqrt(5)/3 Simplify -5 + 3*(4*(sqrt(320) - (-2 + sqrt(320))) + 2)**2 + -5. 290 Simplify sqrt(66)/(sqrt(6) + (1*sqrt(726) - sqrt(6))) - (-1*sqrt(1584)*1)**2. -1584 + sqrt(11)/11 Simplify 2*((sqrt(5) + sqrt(405))*5 + ((sqrt(60) - (sqrt(60) - sqrt(60)*-2)) + sqrt(60))/sqrt(12) + sqrt(5)). 100*sqrt(5) Simplify ((sqrt(117) - ((sqrt(117) - 3*sqrt(117))*4 + sqrt(117)))*-4)/(sqrt(45)/(5*(sqrt(5) - sqrt(180)))). 800*sqrt(13) Simplify (sqrt(180)/(sqrt(40)/sqrt(4)))/(sqrt(9) + sqrt(63)/sqrt(63) + sqrt(9) + sqrt(9) - sqrt(9))*6. 18*sqrt(2)/7 Simplify (sqrt(10) - sqrt(60)/(sqrt(24)/sqrt(4)) - -5*sqrt(10)*2)/((sqrt(35) + sqrt(4235) + sqrt(4235)*3)/sqrt(7)). 2*sqrt(2)/9 Simplify (-3 + ((sqrt(143) + sqrt(143)*2)*-6)/sqrt(11))*3. -54*sqrt(13) - 9 Simplify (sqrt(152) - -5*sqrt(152)*1 - sqrt(152)*-2*-5)/(((-2*sqrt(72))/sqrt(3))/sqrt(3)). 2*sqrt(19) Simplify (2 + sqrt(6912)*2 + sqrt(6912) + sqrt(6912) - 2*(-1 + sqrt(9)/sqrt(3))*-3)**2. -1584*sqrt(3) + 117628 Simplify -2*((-6*(sqrt(88)*1 - sqrt(88)) - sqrt(88))/(2*sqrt(8)*2)*-3 + 2). -3*sqrt(11)/2 - 4 Simplify ((-5 + (sqrt(171) - (sqrt(171) + -1)))**2 - (0 + -3 + sqrt(171))**2) + 2. -162 + 18*sqrt(19) Simplify (-1*sqrt(1408)*-3)/(-4*sqrt(99)*2). -sqrt(2) Simplify (-5 + -1 + -3 + (-2 + sqrt(80) - sqrt(80)) + -4 + (-1*sqrt(80) + sqrt(80))*-1)**2. 225 Simplify (4*(sqrt(56)/sqrt(2))/sqrt(4) + -1 - (sqrt(7) + -2 + -2*sqrt(7))*5*-4)**2. 1312*sqrt(7) + 3473 Simplify -1*(sqrt(98) + -1) + 1*(sqrt(98)*1)**2 - ((5*-1*sqrt(98) - sqrt(98) - sqrt(98))**2 - ((1 + sqrt(98) + -1)**2 - sqrt(98))). -4605 - 14*sqrt(2) Simplify -3 + ((3*sqrt(1700)*-1)**2 - sqrt(1700)) + (2 + (sqrt(1700) - (sqrt(1700) + (sqrt(1700) + 1 - sqrt(1700)) + sqrt(1700))) - sqrt(1700))**2. -50*sqrt(17) + 22098 Simplify -2*((sqrt(231) + (sqrt(231) - (sqrt(231) + 3*(sqrt(231) + 1*sqrt(231)))) + sqrt(231))/sqrt(11))/(-1*((sqrt(3) + sqrt(12))*-4 + sqrt(3) + sqrt(3))). 4*sqrt(7)/5 Simplify ((sqrt(176) - ((sqrt(176) - (sqrt(176) + 3 + sqrt(176) - sqrt(176))) + sqrt(176))*1) + -1*(2 + sqrt(176)) + -1)**2. 176 Simplify (sqrt(12)/(sqrt(600)*1))**2 + 5 + 4. 451/50 Simplify (4*sqrt(171) + sqrt(19) - sqrt(19))*-1 + (1 + -1 + sqrt(171))**2. -12*sqrt(19) + 171 Simplify (sqrt(130)/(sqrt(20)/sqrt(4))*-6)/((sqrt(144) + sqrt(144)*2 + sqrt(144))/sqrt(2)). -sqrt(13)/4 Simplify ((1*sqrt(396) + sqrt(396))*-2 + -3 - (3 + 1*(sqrt(396) - (-2 + sqrt(396)) - sqrt(396))))**2. 288*sqrt(11) + 3628 Simplify (1 + sqrt(19) + 0 + -1 - (sqrt(76) - (sqrt(76)*1*4)**2)) + 1. -sqrt(19) + 1217 Simplify 4*(sqrt(208) + 3 + sqrt(208)) - (sqrt(26)/sqrt(2) + -3 + sqrt(13) + (sqrt(13) - (sqrt(1573) + sqrt(1573) + -2 + sqrt(1573))**2)). -103*sqrt(13) + 14176 Simplify 0 + (2 + 1 + -6*(-3 + sqrt(1331)))**2. -2772*sqrt(11) + 48357 Simplify -2*(4 + sqrt(98) + (sqrt(98)*1 - sqrt(98)) + sqrt(98)*-2 + -1). -6 + 14*sqrt(2) Simplify (-2 + (2 + sqrt(448))**2 - (-1 + -2*sqrt(448) + sqrt(448))) + 5. 40*sqrt(7) + 456 Simplify (sqrt(704) + 3 + -3*sqrt(44))**2 + 2. 12*sqrt(11) + 55 Simplify -1*(-3*(-5 + -3*(1 + -2*sqrt(700))))**2. -227376 + 8640*sqrt(7) Simplify 6*-1*(-5 + (sqrt(125) + (sqrt(125) + (sqrt(125) - (sqrt(125) + 1))*-5)**2 - sqrt(125))). -870 - 300*sqrt(5) Simplify (((sqrt(81)*3 + sqrt(81))/sqrt(3) - sqrt(27)*4*-3) + 0 + 2)**2. 192*sqrt(3) + 6916 Simplify ((2*sqrt(153)*2)/sqrt(9) + sqrt(833) + (sqrt(833) + 2 + -5)**2)*3. -93*sqrt(17) + 2526 Simplify sqrt(171)/((sqrt(180)/sqrt(4))/sqrt(5)) - (-2 + 1*sqrt(1900))**2. -1904 + 41*sqrt(19) Simplify ((sqrt(11) + (sqrt(11) - (1*sqrt(11) - sqrt(11))) + -2 - (-3 + 0 + sqrt(11))) + 2)**2. 6*sqrt(11) + 20 Simplify ((sqrt(6292) + (-2*sqrt(6292) - sqrt(6292)) + (sqrt(520) - sqrt(520)*1)/sqrt(10))/(-2*sqrt(256)*-5 - sqrt(256) - sqrt(256)))**2. 1573/1024 Simplify ((sqrt(95)*-1 + sqrt(95))*3)/(1*sqrt(20)) + (((-1*-1*sqrt(152) - sqrt(152)) + sqrt(152))/(6*(-1*sqrt(8) + sqrt(8)) - sqrt(8)))**2. 19 Simplify (5*-2*sqrt(190)*6)/((-2*sqrt(90)*-2)/sqrt(9)). -15*sqrt(19) Simplify (-4 + sqrt(108) + sqrt(12) - (5 + sqrt(3)*-3*-1))**2. -90*sqrt(3) + 156 Simplify (2 + ((sqrt(243) - (sqrt(243) + -2*sqrt(243) + 1)) + ((sqrt(243) - 1*sqrt(243)) + sqrt(243))*-4 + 5)**2)*-2. -1980 + 288*sqrt(3) Simplify ((6*(sqrt(1000) - (sqrt(1000)*-1 + sqrt(1000))))/(-6*sqrt(800)*-1))**2. 5/4 Simplify (sqrt(60)/(sqrt(35)/sqrt(7)))/(sqrt(28)/sqrt(7)*3) + 5. sqrt(3)/3 + 5 Simplify 5 + (5 + sqrt(17) + 1 - (sqrt(136)/(sqrt(24)/sqrt(3)) + sqrt(17)) - ((1*sqrt(425))**2 - (-4 + sqrt(68)))). -418 + sqrt(17) Simplify (-1*(sqrt(300) + 1))**2 + (-4 + sqrt(300)*2)**2 + 1. -140*sqrt(3) + 1518 Simplify (-4 + (2 + sqrt(2299) + 0 + -1)*-3 + 2)**2. 330*sqrt(19) + 20716 Simplify -3*1*sqrt(22)/((-1*sqrt(55))/sqrt(5))*6. 18*sqrt(2) Simplify ((2 + 3 + sqrt(325) - -2*3*sqrt(325))**2 + 0)*6. 2100*sqrt(13) + 95700 Simplify -4 + ((sqrt(396) - ((sqrt(396) - (5 + 2 + sqrt(396))) + sqrt(396)))**2 - (sqrt(396) - 4*sqrt(396)*2)) + -2. 43 + 42*sqrt(11) Simplify (-5*sqrt(24)*-2*2)/(sqrt(12) + (sqrt(60) + sqrt(540) + sqrt(60))/sqrt(5) - -6*sqrt(24)/sqrt(2)). 5*sqrt(2)/3 Simplify (sqrt(252)/(sqrt(63)/sqrt(9)))/(-5*sqrt(12)*1). -sqrt(3)/5 Simplify (-4*sqrt(77)*1)/(sqrt(63)/(sqrt(9)*-1)) + -1 + -3. -4 + 4*sqrt(11) Simplify (sqrt(3900) + (sqrt(3900) - sqrt(3900)*-1))/(sqrt(33)/sqrt(176)) + -2. -2 + 120*sqrt(13) Simplify ((sqrt(24) + sqrt(864))/sqrt(12) - sqrt(32)*-6) + ((sqrt(400) - ((sqrt(400) - sqrt(400)*1) + sqrt(400)) - sqrt(16))/(sqrt(8) - sqrt(56)/sqrt(63)))**2. 9/2 + 31*sqrt(2) Simplify (2 + sqrt(98) + -4 + 3 + -5 + 5)**2. 14*sqrt(2) + 99 Simplify -4*(sqrt(42)/sqrt(2)*-4)/(sqrt(3) - (sqrt(3) - sqrt(12)*-2)). -4*sqrt(7) Simplify (-2*sqrt(245) + 0 + sqrt(245) + 1)*-2*-6. -84*sqrt(5) + 12 Simplify -1*((0 + sqrt(8)/sqrt(4) + -3)**2 + -5). -6 + 6*sqrt(2) Simplify 1 + (-6*((sqrt(156) + sqrt(156) + -2*sqrt(156))*-6 + sqrt(156))/((-1*sqrt(84))/sqrt(7)))**2 + -5. 464 Simplify (sqrt(190)*-2*-1)/(1*sqrt(160) + sqrt(160)). sqrt(19)/4 Simplify (sqrt(1573) + (-1 + sqrt(1573) - sqrt(1573))*-2 + -2 + (sqrt(1573)*-2 + -2)*5 + 5)**2. 990*sqrt(13) + 127438 Simplify -5*(sqrt(27) + 1) - (5 + sqrt(363) + 1). -26*sqrt(3) - 11 Simplify (sqrt(10) - (sqrt(50)/sqrt(5) - sqrt(10))*-5)/sqrt(5) + (-6*(sqrt(162) + 1))**2. 649*sqrt(2) + 5868 Simplify (-5 + 4*(-3 + -2*sqrt(432) + sqrt(432)))*1. -48*sqrt(3) - 17 Simplify (-3*sqrt(480)*6)/((sqrt(726)*2 - sqrt(726)) + sqrt(864)*-2 + sqrt(6)). 6*sqrt(5) Simplify (sqrt(102)*-1*-2 - (sqrt(102) - 2*(sqrt(102) + sqrt(102)*1 + sqrt(102))))/((sqrt(6) - (sqrt(486) - sqrt(486)*1))*-2). -7*sqrt(17)/2 Simplify sqrt(13) + -5*sqrt(52)/sqrt(4) + (sqrt(13) + 0 + 0)**2 - (2 + 1*sqrt(13) + 4). -5*sqrt(13) + 7 Simplify 4*(sqrt(48)*-3)**2 - (sqrt(3) + -1 + sqrt(300))**2*-6. -132*sqrt(3) + 3912 Simplify ((sqrt(405) - -6*2*sqrt(405)) + sqrt(405) + 5*(sqrt(405) + 1) + -4 + -2 + (sqrt(405) + -2 + sqrt(405) + sqrt(405) - sqrt(405)))**2. -1134*sqrt(5) + 178614 Simplify 1*((2*sqrt(75) - (1 + sqrt(108)))**2 - sqrt(81)/(-1*sqrt(3))). -5*sqrt(3) + 49 Simplify (-2*sqrt(833)*1*-2 - (-2 + (sqrt(833) + sqrt(833) + sqrt(833)*2 - sqrt(833)) - (3 + sqrt(833) + 1 + sqrt(833))))**2. 252*sqrt(17) + 7533 Simplify (5 + (-2*-2*sqrt(5500))/((-1*sqrt(77)*-2)/sqrt(7)))**2. 200*sqrt(5) + 2025 Simplify 2 + -1 + sqrt(343)*-1 - ((sqrt(98) - (sqrt(98) + (sqrt(98) - 1*sqrt(98))))/sqrt(7))/(sqrt(128)*-2). -7*sqrt(7) + 1 Simplify (-2 + sqrt(242) + -4 - 1*(2*sqrt(242) - sqrt(242)) - (-5*(sqrt(242) + sqrt(242)*-1 - sqrt(242)) + sqrt(242) + ((-1 + sqrt(242))*-3 - sqrt(242))))**2. 396*sqrt(2) + 1049 Simplify ((sq
{ "pile_set_name": "DM Mathematics" }
d - n = 3*d. Which is the biggest value? (a) j (b) d (c) 5 c Let u = 17.71 - 17.71. Which is the third smallest value? (a) u (b) 9 (c) 26 c Let h = 0 + -19. Let t = h + 23. Which is the smallest value? (a) t (b) -4 (c) 0.3 b Let v be (-52)/104 + (-38)/(-12) + -2. What is the third biggest value in 1, -1, v, -6? -1 Let d = 702 + -703. What is the third smallest value in 0.2, 9, d, 2/9? 2/9 Let z = -94.125 - -94. Let u = 0.095 + z. Which is the smallest value? (a) u (b) 3/8 (c) -0.2 c Let w be (6/51)/1 + 21/(-34). Let r = 533/28 + -75/4. What is the smallest value in 0, r, w, -0.2? w Let o be (-58)/44 + (-5)/(-10). Let q = 47/44 + o. What is the third smallest value in q, 5, 3? 5 Suppose -2*w - 16 = -3*h, 4*h - 9 = -4*w - 1. Let r be (-4)/1*1 - (-143)/33. Let l = 0.3 + -0.2. Which is the smallest value? (a) h (b) l (c) r b Let c = -397 - -397.037. What is the smallest value in 0.1, -1/9, c? -1/9 Let n be 826/266 - (-3 + (-118)/(-38)). Let m = -0.4 - 0. Let d = 0.5 + m. What is the third biggest value in 1, n, d? d Suppose -3*d - 20 = 2*d. Let u = -2/9 + 8/117. What is the second biggest value in d, 1/5, u? u Let c = 0.059 - -1.941. What is the second biggest value in -0.15, c, -3, -2/9? -0.15 Let f = 40 - 57.6. Let h = f + 18. What is the fourth biggest value in -5, -0.1, 6, h? -5 Let b = -0.8 + 1.1. Let y = 0.3 - b. Let d = 1 + y. What is the third smallest value in -0.2, d, 1/6? d Let i be 2/10*2/(32/(-20)). Let n be (-5 + 4)/((-14)/(-4)). What is the smallest value in 3/4, i, n, 2/7? n Let y(l) = 25*l - 86. Let q be y(3). Which is the third biggest value? (a) 0 (b) 2 (c) q c Let x = 58 - 53.2. Let o = -0.8 + x. Which is the biggest value? (a) 2/13 (b) o (c) -0.4 b Let c be ((-8)/10)/(2/(-5)). Let v = -285 + 285. What is the second biggest value in c, v, 1/5? 1/5 Suppose -3*m + 5*m - 6 = 3*h, 5*m + 3*h + 27 = 0. Let y = -0.7 - -0.5. Which is the second biggest value? (a) -2/13 (b) y (c) m b Let g = 4812/29 + -166. Let w = g - -64/87. What is the second biggest value in 2, -7, w? w Let w = 342 + -198. Let y = w - 144.01. What is the biggest value in -1/4, -0.2, -2/23, y? y Suppose 0 = 2*h + 10, 0 = n + 5*h + 8 + 6. Suppose -n*c + 6*c - 15 = 0. What is the biggest value in 3/7, 1, 2/7, c? 1 Suppose 2*f - f - 4 = 0. Let x = -3 + f. Let k = 0.2385 + 0.2615. What is the second biggest value in 4, x, k? x Let y = 18/37 + -73/74. Suppose 2*d = 12 + 2. Which is the smallest value? (a) y (b) 0 (c) d a Let r = -1.82 - -1.12. Which is the second biggest value? (a) -1 (b) 3 (c) -1/8 (d) r c Let f = 0.15 - -2.85. Let b = 0 - -2. Let d = 16.72 + -16.76. What is the second biggest value in d, b, f? b Let c be 0/(-11) - 6/3*6. What is the second smallest value in -3, 2, c, -4/9? -3 Let g = -264.9 + 264.4. Which is the biggest value? (a) -5 (b) -0.4 (c) 0.009 (d) g c Let r = -773 - -776.064. Let z = r - 0.064. What is the smallest value in z, -2, -6/5? -2 Let y be 463/(-6) - -1 - (2 + -2). Let r = -76 - y. Let q = -1 + 3. Which is the biggest value? (a) q (b) r (c) -6 a Let p = -18.4 - -20.2. What is the second biggest value in -0.1, p, 2? p Let x = 63 + -99. Let d = x + 32. What is the second biggest value in d, 3/2, -2, -5? -2 Let j = -26.1 - -25.1. Which is the third smallest value? (a) 3 (b) -1/8 (c) -1/7 (d) j b Let y = 0.235 - -1.785. Let j = y - 0.02. Let h = -1.96 + j. What is the smallest value in h, 1, -0.4? -0.4 Let i be 46/11 + (-4)/22. Let s = -44 + 41. Which is the second smallest value? (a) s (b) -6 (c) i a Let v = -0.9535 - 0.0465. Let j(q) = -q**2 + 3*q + 5. Let u be j(5). What is the fourth smallest value in u, -1/9, v, -3? -1/9 Let s = 3.7 + -0.3. Let d = s + -3.5. Which is the third smallest value? (a) d (b) -0.5 (c) 1 c Let d = 0.43 - -0.17. Which is the third smallest value? (a) -4/3 (b) 2 (c) d b Let d = -408.04 - -408. Which is the biggest value? (a) -15 (b) -5 (c) d c Let t = 231 + -241. Which is the second biggest value? (a) t (b) 4 (c) -4 (d) -0.5 d Let t = -1.3 - 0.5. Let x = 1.2 - t. Suppose 2 - 7 = -p. What is the second biggest value in x, 1/4, p? x Let j = -0.01 + -0.29. Let g = -546 - -545.9. Which is the smallest value? (a) -1/3 (b) g (c) j a Let r = -0.02 - 0.48. Suppose -2*d - 25 = 35. Let h be 12/63*(-35)/d. What is the third biggest value in h, r, -1/4? r Let d be (-3240)/(-33) - (-4)/(-22). Let j be ((-62)/30)/(d/35). Let p = -1/6 - j. Which is the third smallest value? (a) 0 (b) p (c) -0.1 b Let p = -312.29 + 312. What is the biggest value in 1, 5, 0.1, p? 5 Let a = -1.36 + 61.36. Let g = a + -60. What is the third smallest value in -3, g, 18? 18 Let b = 13.5 - 45.5. What is the biggest value in 3/4, b, -11? 3/4 Let n = -7 + 7.005. Let y = n + 1.995. What is the biggest value in -0.9, -0.5, -4, y? y Let j = -0.09 - -19.09. Let v = -17 + j. Suppose -r - 30 = -7*r. Which is the third smallest value? (a) r (b) v (c) -0.1 a Let b = -1073/2 + 526. Let h = b + 12. Let q = 2/311 + 303/1244. What is the second smallest value in h, -2, q? q Let t = 52.018 - 52. Let v = 0.118 - t. Which is the smallest value? (a) 1 (b) 3/4 (c) v (d) -5 d Let r = -43.975 + -0.025. Let t = 49 + r. What is the second biggest value in t, 1, -0.02? 1 Let a = 3 + -3.14. Let o = 17.86 - a. Let i = o + -15. What is the third biggest value in -1/7, i, -0.2? -0.2 Suppose -z = 3 - 6. Let x = 5.012 - 0.012. What is the smallest value in 2, x, -4, z? -4 Suppose -3*w = -225 - 60. Let z be (1 - -3) + (-399)/w. Which is the biggest value? (a) 0 (b) z (c) -4 a Let l = -11.1 + 2.1. Let j be 1*(4 + 12/(-9) - 3). Which is the smallest value? (a) 2 (b) 3 (c) l (d) j c Let h = 0.4 - 0.2. Suppose -4*t - 27*r = -23*r + 8, -3*t = -2*r + 6. Let j be ((-4)/39)/(2/3). What is the third smallest value in h, j, t? h Let z(j) = -j**3 - 8*j**2 - 14*j - 17. Let w be z(-6). What is the third biggest value in -1, w, 2, 0.3? -1 Let h = 2.9 - 2.4. Let r = -3 + 2.5. What is the second smallest value in r, 1, h? h Let a be (0 - 0) + (-10)/45. Let x = 3110 + -3109. What is the biggest value in x, a, -0.4? x Suppose 0 = -2*q + u + 6, 16 = 5*q - 2*u - 0*u. Suppose 4*z = -4*a + 3 + 33, q*a = z + 16. Let k be (0 - -10)*a/(-10). What is the smallest value in -3, k, 0.4? k Let h = 2218.09 + -2208. Let n = 0.09 - h. Let i = -3897 + 3894. Which is the third biggest value? (a) 3/4 (b) i (c) n c Let f = 0.6 - 2.6. Let y = -27 - -26.91. What is the third smallest value in y, f, 0.4, -0.5? y Let d(y) = 178 - y**2 - 154 + y**3 - 2*y**3. Let b be d(0). Let k = -23 + b. What is the second biggest value in k, -2, -3/5? -3/5 Let g = 315.2 + -315. Which is the second biggest value? (a) -4 (b) g (c) -107 a Let v = -1.09 + 0.09. Let x = -82 + 81.6. Which is the biggest value? (a) v (b) 0.2 (c) x b Suppose 2*r = 10, -3*r = 3*h + 42 - 531. Let s = 1739/11 - h. What is the smallest value in s, 1, -0.1? -0.1 Suppose -2*l + 3*d - 32 = 0, -2*l - d + 2*d = 24. Let x = -6 - l. What is the second smallest value in x, 0.5, -8/5? 0.5 Let q = -267.16 - -267. What is the third smallest value in q, -1/7, -5? -1/7 Suppose -3*s = 5*r - 15, -51 = -s - 5*r - 36. Which is the second biggest value? (a) -34 (b) -3 (c) s b Let i be -4 + 156/42 + 26/42. Which is the fourth biggest value? (a) 0.1 (b) 0 (c) i (d) -57 d Let v = 18.3 + -22.3. Which is the biggest value? (a) v (b) 5/4 (c) -3 b Let j = 308/5 + -62. Let h = -45 - -81. Let f be ((-130)/h)/(-5) - 18/81. What is the biggest value in j, f, -1/3? f Let f = -660 - -3306/5. Which is the third smallest value? (a) f (b) 4 (c) 0.1 (d) 3/2 d Let l = -81 + 48. Let i = -32.8 - l. Which is the smallest value? (a) 8 (b) 0.5 (c) i (d) 1/3 c Let n be (-1)/((-20)/3 - 1). Let m = 75/46 - n. Which is the smallest value? (a) m (b) -6 (c) 5 b Let o be (2/(-44))/(17/(-306)). What is the third biggest value in 0.03, -0.2, o? -0.2 Let n(y) = -2*y + 7. Let s be n(3). Let r(j) = -j**3 + 16*j**2 + j - 11. Let g be r(16). Which is the second smallest value? (a) s (b) 7 (c) g c Let d = 4 + -3. Let z = 0.037 + -3.937. Let w = z - -4. What is the smallest value in 0, w, d? 0 Suppose 25 = -5*z, -4*z = -r - 0*r - 140. Let q be (-6)/10 - r/(-25). What is the biggest value in 1, 2/5, q? 1 L
{ "pile_set_name": "DM Mathematics" }
comes next: -318, -1179, -2558, -4437, -6798, -9623? -12894 What is next in -124, -587, -1734, -3907, -7448, -12699? -20002 What is next in 13870, 27690, 41470, 55216, 68934? 82630 What is next in 1570, 1527, 1462, 1363, 1218? 1015 What is next in 8054, 32227, 72516, 128921? 201442 What is the next term in -206, -1786, -4412, -8078, -12778, -18506? -25256 What comes next: 2404, 2411, 2428, 2461, 2516, 2599? 2716 What is next in -723, -721, -727, -741, -763, -793? -831 What comes next: -671, -2455, -5429, -9593, -14947? -21491 What is next in 42245, 84467, 126689, 168911, 211133, 253355? 295577 What is next in 4118, 8245, 12372? 16499 What is the next term in 39, 106, 199, 306, 415, 514? 591 What is the next term in -666, -2860, -6572, -11796, -18526? -26756 What is the next term in -719, -892, -1065, -1238, -1411, -1584? -1757 What is next in 1744, 1742, 1764, 1816, 1904, 2034? 2212 What is the next term in -777, -3103, -6979, -12405, -19381? -27907 What comes next: -2264932, -2264934, -2264936, -2264938, -2264940? -2264942 What is the next term in -1752, -7376, -16750, -29874, -46748? -67372 What is next in -691, -1461, -2305, -3229, -4239? -5341 What comes next: -53, 385, 1315, 2737, 4651? 7057 What is next in -142, -190, -254, -334? -430 What comes next: -267, -123, 23, 171, 321, 473, 627? 783 What comes next: 952531, 952533, 952535, 952537? 952539 What is next in -2877171, -2877173, -2877175? -2877177 What comes next: -37647, -75233, -112819, -150405? -187991 What is the next term in -745677, -1491356, -2237035? -2982714 What is next in 17743, 17664, 17585, 17506, 17427, 17348? 17269 What comes next: 3596081, 3596080, 3596079, 3596078? 3596077 What is the next term in -517, -1073, -1693, -2377, -3125, -3937, -4813? -5753 What is the next term in 197, 1108, 2019, 2930? 3841 What is the next term in -78, -104, -148, -210, -290? -388 What is next in -8836, -17680, -26524, -35368, -44212, -53056? -61900 What comes next: 49781, 49751, 49721, 49691, 49661? 49631 What is the next term in -17, -77, -151, -221, -269, -277? -227 What is next in -7612, -15057, -22502? -29947 What is next in 5212, 10422, 15632? 20842 What is next in 1098, 4492, 10180, 18162? 28438 What is next in 202428, 202431, 202434, 202437? 202440 What is the next term in -52, -184, -574, -1360, -2680, -4672, -7474? -11224 What is the next term in -173, -225, -281, -341, -405, -473? -545 What is the next term in -95, -194, -301, -416? -539 What is the next term in 54, 169, 332, 519, 706, 869, 984? 1027 What is the next term in 269, 1049, 2339, 4139, 6449, 9269? 12599 What comes next: -1360, -2694, -4030, -5368, -6708, -8050, -9394? -10740 What is next in 10802, 43196, 97184, 172766? 269942 What is next in 28, -97, -222, -347? -472 What is the next term in 17085, 17074, 17047, 16998, 16921? 16810 What is the next term in -34, -165, -512, -1177, -2262, -3869, -6100, -9057? -12842 What is the next term in 41959, 83914, 125867, 167818? 209767 What is next in 2215, 4035, 5461, 6493? 7131 What comes next: 112, 386, 824, 1426, 2192, 3122? 4216 What is next in -196, -224, -266, -322, -392? -476 What comes next: 4296, 4310, 4326, 4338, 4340, 4326? 4290 What comes next: -81681, -163359, -245037, -326715, -408393? -490071 What comes next: -957, -1898, -2823, -3726, -4601, -5442? -6243 What comes next: 1503, 4347, 9093, 15747, 24315, 34803, 47217, 61563? 77847 What is the next term in 60860, 60856, 60848, 60836, 60820, 60800, 60776? 60748 What is next in 5614, 5620, 5628, 5638, 5650, 5664? 5680 What is the next term in -6, -174, -750, -1980, -4110, -7386? -12054 What comes next: 51, 252, 589, 1050, 1623? 2296 What comes next: 217, 552, 1039, 1678, 2469, 3412? 4507 What comes next: 7785, 7784, 7783, 7782, 7781? 7780 What comes next: 12811, 25626, 38441, 51256? 64071 What is the next term in 62916, 251694, 566324, 1006806, 1573140? 2265326 What is the next term in -1502, -1543, -1612, -1709, -1834, -1987? -2168 What is the next term in -3713, -3729, -3775, -3857, -3981, -4153, -4379, -4665? -5017 What comes next: 312, 679, 1026, 1353, 1660? 1947 What comes next: 10350, 10349, 10348, 10347, 10346, 10345? 10344 What comes next: -1502, -1595, -1688, -1781? -1874 What is the next term in -1665, -1672, -1683, -1698, -1717? -1740 What comes next: 313197, 626394, 939593, 1252794, 1565997? 1879202 What comes next: 21627, 21569, 21511? 21453 What comes next: -2641, -3262, -3883, -4504, -5125, -5746? -6367 What comes next: -437, -784, -1147, -1532, -1945, -2392? -2879 What is the next term in -46774, -46786, -46798, -46810, -46822? -46834 What comes next: 308, 142, -14, -154, -272, -362? -418 What comes next: 97444, 194888, 292332, 389776, 487220? 584664 What is the next term in 1503, 3012, 4525, 6042, 7563, 9088? 10617 What is next in 1038, 1072, 1176, 1386, 1738, 2268, 3012, 4006? 5286 What comes next: -134256, -134235, -134214, -134193, -134172? -134151 What is next in 2209, 4408, 6573, 8686, 10729? 12684 What is the next term in -8619, -8653, -8685, -8715? -8743 What is the next term in 12748, 25573, 38398, 51223, 64048, 76873? 89698 What comes next: -4551453, -9102907, -13654361, -18205815, -22757269, -27308723? -31860177 What is the next term in 20561, 82238, 185033, 328946? 513977 What comes next: 165, 621, 1553, 3141, 5565, 9005? 13641 What comes next: -3091841, -6183680, -9275519, -12367358, -15459197? -18551036 What is the next term in -3988, -4009, -4066, -4177, -4360, -4633, -5014, -5521? -6172 What is next in 2601, 5179, 7759, 10341? 12925 What is the next term in 11203, 22406, 33609, 44812, 56015? 67218 What comes next: 143, 171, 161, 95, -45, -277, -619? -1089 What is next in -10889, -43564, -98023, -174266? -272293 What is the next term in 54, 11, -44, -111, -190? -281 What is next in 32205, 64569, 96931, 129291, 161649? 194005 What is next in -51419, -51426, -51433? -51440 What comes next: -3156, -6318, -9480, -12642, -15804, -18966? -22128 What is the next term in 49630, 99190, 148750? 198310 What is next in -94858, -94857, -94856? -94855 What comes next: -44, -33, 72, 325, 780, 1491, 2512, 3897? 5700 What is the next term in 2152, 8559, 19228, 34159, 53352, 76807? 104524 What is the next term in -1782, -1778, -1772, -1764, -1754, -1742, -1728? -1712 What is next in 574614, 1149226, 1723838, 2298450? 2873062 What comes next: -3024, -2826, -2496, -2034, -1440, -714? 144 What comes next: 63, 490, 1687, 4050, 7975, 13858? 22095 What is the next term in -6573, -26283, -59133, -105123, -164253, -236523? -321933 What is next in -141629, -141559, -141487, -141413, -141337, -141259, -141179? -141097 What comes next: -6, 176, 478, 900, 1442, 2104? 2886 What is next in 185509, 185483, 185447, 185407, 185369? 185339 What is the next term in -9966, -9965, -9964, -9963? -9962 What comes next: 235, 262, 293, 328, 367, 410? 457 What is the next term in -4513, -8994, -13475, -17956, -22437? -26918 What comes next: -954, -1531, -2108, -2685? -3262 What comes next: 2319, 2326, 2335, 2346? 2359 What is the next term in -26, -34, -50, -80, -130, -206, -314, -460? -650 What is next in -127, -204, -319, -460, -615? -772 What is the next term in -1517, -3047, -4579, -6113? -7649 What is next in -72, -378, -1044, -2196, -3960, -6462, -9828, -14184? -19656 What is next in 134, 277, 472, 719, 1018? 1369 What is the next term in -174920, -349843, -524766, -699689? -874612 What comes next: -914, -1501, -1768, -1715? -1342 What is the next term in 5805, 6558, 7813, 9570? 11829 What is next in -234541, -234519, -234497? -234475 What comes next: -9578, -9587, -9596? -9605 What comes next: 27, -38, -195, -480, -929, -1578? -2463 What comes next: -154, -590, -1304, -2296, -3566, -5114, -6940? -9044 What comes next: 14456640, 14456634, 14456618, 14456586, 14456532? 14456450 What comes next: 11679, 23306, 34881, 46404, 57875, 69294? 80661 What is the next term in 5290, 21189, 47696, 84817, 132558, 190925, 259924? 339561 What is the next term in 35059, 70115, 105171, 140227? 175283 What is next in 41016, 164104, 369262, 656496, 1025812, 1477216? 2010714 What is next in 3225, 6446, 9667, 12888, 16109, 19330? 22551 What is next in 10616, 10301, 10004, 9731, 9488, 9281? 9116 What comes next: 5886, 11754, 17622? 23490 Wh
{ "pile_set_name": "DM Mathematics" }
ose d = -2*d - 4*w, 0 = d + 3*w. Suppose -p + 4327 = -d*i + i, 4*i - 17308 = -2*p. Is i composite? False Let y = 326 - 321. Suppose y*u - 1623 = 2*u. Is u prime? True Suppose -4*i = -r + 363233, -85*r + 86*r = i + 363251. Is r composite? False Let h(s) = -2*s**3 + 71*s**2 - 314*s + 392. Is h(-75) prime? True Let q(l) = 2*l**2 - 24*l + 2. Let f be q(12). Let n(u) = 1 + 4 - 22*u**f - 20*u - 11 - 11 - 2*u**3. Is n(-14) prime? True Suppose -5*x + 49680 = -5*p, 3*x + 15795 - 45605 = 4*p. Suppose -5*b - x = 4276. Let i = b + 4083. Is i a prime number? False Suppose 2*o + 40 - 56 = 0. Suppose -o*i + 20*i = 112044. Is i composite? False Let s = 8646 - 4760. Suppose -1021*i = -1019*i - s. Is i composite? True Let k = -29072 - -29130. Let a = 14 - -685. Let l = a - k. Is l composite? False Let y = 277178 - 116869. Is y a composite number? False Let f be (-15)/18*(-13)/(65/30). Suppose 11*c - 14154 = f*c. Is c a composite number? True Is 7 - 2448/(-68)*655/3 a composite number? False Let a be (-1 + 2)/((-12)/180). Is ((-5)/a)/(2/65622) composite? False Let z(p) = -166*p + 4. Let f be z(-7). Suppose 7371 = 5*u + f. Let v = 1782 - u. Is v a composite number? False Let w be ((-48)/3)/((-321)/(-324) + -1). Let b = w - 554. Is b a prime number? False Suppose 5*h - 36248 = -i + 23844, -4*h = -4*i + 240296. Is i prime? True Let t(q) be the first derivative of q**3/3 + q**2/2 + 613*q + 56. Is t(0) a prime number? True Suppose -6*q + 52098 = -q + 16613. Is q prime? False Is (-44 + (-86)/(-2))*(-168192 - 1) a composite number? False Let p be (-4)/((-4)/((-8)/(-4))). Suppose g + p = 4*i, -2*i - 25 = 4*g - i. Let k(u) = 26*u**2 + 6*u - 11. Is k(g) a prime number? False Let z = 327 - 323. Suppose -3*c + 2*l + 2942 = -3353, z*c + 4*l = 8360. Is c a prime number? False Let a = 14 + 15. Suppose -a*g - 1206 = -47*g. Is g a composite number? False Suppose 2721 = 294*x - 297*x. Is (x/3)/(47/(-141)) a composite number? False Suppose 5*f + 6*q - 41 = 7*q, 5*f - 65 = -5*q. Let b(k) = -21*k - 4 + 2 + 3*k**2 + 10*k**2. Is b(f) composite? True Suppose 150*p - 167*p + 2763367 = 0. Is p a composite number? True Let i(q) = -2*q**2 + 12*q - 14. Let l be i(4). Suppose 0*m + 5*m = 50. Suppose 176 = m*t - l*t. Is t a prime number? False Let c(r) = 7*r**2 + 259*r - 253. Is c(78) a composite number? True Let f(s) = -s**2 - 8*s + 5. Let o be f(-8). Suppose 5*h = o*t + 3675, 3*t = 5*t - 3*h + 1469. Let x = -357 - t. Is x a composite number? False Let t(y) = -3*y**2 - 43*y + 2. Let d be t(-15). Is -10*-10942*(-7)/d prime? False Suppose 2*v - 6*l - 30978 = -10*l, 6 = -3*l. Is v a composite number? False Let r = -22 + 27. Suppose -14 = -4*t + 2*b, 8 + r = 2*t + 5*b. Is (-2)/(t/(-1524)*2) composite? True Suppose -w = 2*f - 21, -3*f + 52 = -3*w + 7. Let l = 733 + f. Is l a prime number? False Let m be 1 + 24 + (-5 - -2)*-1. Suppose m*p - 24*p = 568. Is p - ((-5)/4 + 2/8) a composite number? True Let p be (-11430)/(-8) - -5*(-18)/120. Suppose x - p = -2*c, c - 2 = 2. Suppose 4*u = 3*k - 887, -8*u = 5*k - 3*u - x. Is k prime? False Suppose 307761 - 343731 = -35*m + 614715. Is m composite? True Suppose -90 - 30 = 3*y - 2*j, -4*y + 4*j = 156. Suppose -1326 = -22*p + 56*p. Let g = p - y. Is g a prime number? True Suppose -11*f = -3*f. Let s(k) = k**3 + k**2 - k + 165. Let g be s(f). Let j = g - -104. Is j prime? True Let t = 447632 - 224399. Is t a composite number? True Let c = 6 - 6. Suppose c*b + 2*b = -4*r + 2144, 0 = -2*b + r + 2139. Let j = 24 + b. Is j a composite number? True Is -160231*(-5)/15*(-5 + 8) prime? True Let z(p) = 68*p**2 - 20*p - 91. Let v be z(-15). Suppose v = 23*f - 10*f. Is f prime? True Let l(r) = -78*r - 61. Let d(w) = -w**2 - 22*w + 21. Let v be d(-24). Is l(v) a composite number? True Suppose 6*y - 108182 - 88096 = 0. Is y a composite number? False Let l = -545 - -935. Suppose a = -4*c + 3765, -5*a + c + l = -18351. Is a composite? True Is 2683398/(-2)*(13 + -18)/15 prime? True Let f(b) = -276*b + 3. Let r be f(-4). Let k = 1624 - r. Let p = -210 + k. Is p prime? True Let s be 10/(-15)*(-3 + 0). Suppose 0 = -4*a - 5*o + 46, 4*a - 14 = 2*a + s*o. Suppose -k = -a*k + 5080. Is k a composite number? True Suppose 0 = -135*y + 138*y + 37086. Let z = -6123 - y. Is z composite? True Let y = 56 - 39. Suppose y*l - 215369 - 21900 = 0. Is l a composite number? True Let o(f) = 22323*f + 1782. Is o(5) a prime number? False Let v(d) = -5820*d**3 - 3*d**2 - d. Let m be v(-1). Let j = 10640 - m. Is j a composite number? True Suppose 15*q = 12*q + 18252. Suppose 0 = -10*i + q + 10736. Suppose i = l - 3*u - 2*u, -u = 5. Is l a prime number? True Suppose 0 = 3*u - 115226 + 23783. Suppose u = 15*b - 4*b. Is b prime? False Let d be (-15)/(-105) - (194/(-14) + 2). Is -5727*((-40)/d + 3) a composite number? True Let o(b) = 54*b**2 + 20*b + 8. Let a be o(14). Suppose -4*y = -4*j - a, -4*y - 3*j + 3030 = -7877. Is y prime? False Let a = -42 + 49. Suppose 0 = 3*q + 9, 0 = 6*p - a*p + 4*q + 817. Suppose 0 = -z - 2*r + p, 5*z + 13*r - 4055 = 18*r. Is z prime? True Let x = -2690 + 4608. Is (12 - 18) + x/2 a composite number? False Let m(x) = 201*x - 12. Let p be m(13). Suppose -6*t + 4413 = -p. Is t composite? True Let v(d) = 111*d**3 + d**2 + d - 2. Let x be -2 + (-16)/(-3) - 8/24. Is v(x) a prime number? False Is (-37333062)/(-570) - 4/(-10) prime? True Let j = 82 - -722. Suppose 4*k + 7948 = j. Let d = -595 - k. Is d prime? False Let a be (5/((-75)/20))/(3/18). Is (2 - 3)*(7 + a - 418) composite? False Let i(g) = 9*g**3 - 2*g**2 + 5*g - 2. Let w be i(-5). Let f = w + 3753. Is f composite? False Let s be -2 + (-3)/(12/(-16)). Suppose s*w + 5*v - 10089 = 0, w + 1473 = 5*v + 6510. Suppose -47*u - w = -49*u. Is u prime? True Let u be (195000/(-21) - (-2)/(-7))*-6. Suppose 4*t - u = -0*t. Suppose 24*q - 27*q = -t. Is q a composite number? False Let b = 542759 - 361441. Is b prime? False Suppose 0 = -t - 3*t + 1240. Let m = t + -125. Suppose -182*d - 1893 = -m*d. Is d a composite number? False Let f = -12 + 27. Let g be ((-20514)/(-65))/(2/f). Suppose -g = t - 4*t. Is t a prime number? False Let l(d) = 10*d**3 + 9*d**2 + 2*d - 41. Let x be l(-8). Let h = x + 9322. Is h a composite number? False Let s(b) = 194*b - 83. Let u be s(26). Suppose 0 = 16*m - 111567 - u. Is m a prime number? True Let b = -12274 + -63281. Let o be ((-12)/15)/(18/b). Suppose -5*g + 2*g = -5*i + o, 2*i - 3*g - 1345 = 0. Is i prime? False Suppose -g = -0*g + 5, 4*f - 33 = 5*g. Let c(u) = 4*u - 4*u**3 - u**3 - 31*u**f + 42*u**2 - 1. Is c(-4) a composite number? False Suppose -124791 - 159813 = -111*y. Let v(k) = -k - 3. Let q be v(-3). Suppose -4*c + y = -q*c. Is c composite? False Suppose -4*l - 5*h = -66, 5*h + 70 = 3*l + 3. Let f(b) = b**3 - 12 + 3*b + 58 - 29 + l*b**2. Is f(-16) composite? True Suppose 0 = -841*t + 808*t + 13928343. Is t prime? False Is (-140138)/(-82)*(-2 - -19) prime? False Let l be 4/(1*-3 - -2). Let j be 6/(((-36)/(-24))/(3/(-4))). Is (6 + -3)/(l/(424/j)) a composite number? True Suppose 2*h - 16 = -2*h. Let f be (4/40)/(1/h)*-470. Let t = 333 + f. Is t a composite number? True Suppose -4*b = 4*r - 1674548, -r + 1674554 = -99*b + 103*b. Is b prime? False Suppose -b = 3*m + 2, -4 = 4*m - 2*b + 4*b. Suppose 2*g + 2*u = -m*g + 288, -3*g + u = -436. Is g composite? True Suppose 0 = -7*f + 28871 + 16783. Suppose 5*n = 3*n + f. Is n composite? True Is (-1 - (-3184)/(-3))*-5*2355/25 a composite number? True Let j be (-4)/3*(-519)/(-2). Suppose -4341 = -5*k - 146. Let w = k + j. Is w composite? True Suppose 2*v - 3*l = 6, 5*v - 5*l + 5 = 15. Suppose v = -24*f + 6*f + 784746. Is f prime? True Is (-170152)/20*10/16*-4 prime? True Suppose 369*u - 279739152 = -31378905. Is u a prime number? True Let c(r) = -3*r**2 - 18*r. Let v be 100/(-16) - ((-5)/4 + 1). Let u be c(v). Suppose 2850 = 2*f + 2*i - i, 5*f - i - 7111 = u. Is f a prime number? True Suppose 488 = 6*t - 22. Let b = -97 + t. Is 2/(-3) + (-19774)/b*2 a prime number? False Let m(j) = j**3 - 5*j**2 - 2*j + 5. Let o = -45 - -50. Let v be m(o). Let l(a) = -2*a**3 + 4*a - 4. Is l(v) composite? True Suppose 139*o - 145731636 = 306470468 - 34704345. Is o prime? False Let g(k) = 3*k**2 - 7 - 6 + 10*k + 3 + 6*k. Let p be g(6). Let i = p + 693. Is i a composite nu
{ "pile_set_name": "DM Mathematics" }
.787. -57081.118 What is -3 times 4.0999632? -12.2998896 -2639025 * 13 -34307325 Product of 0.04 and -5077778. -203111.12 4.525014*-3 -13.575042 0.4 times 10488053 4195221.2 Product of -235430569 and 1. -235430569 -18.153 * -25 453.825 Multiply -0.0585 and -44978. 2631.213 -0.12 times -6951.767 834.21204 13 times 3032.9 39427.7 -1571 * -33317 52341007 What is -0.3 times 36348993? -10904697.9 Work out -0.174 * 37244. -6480.456 Multiply -86989.8 and 55. -4784439 Product of 0.005 and -0.03224. -0.0001612 Calculate -3261*-108.1. 352514.1 What is -6.7 times 116441? -780154.7 -5 * -29849.4 149247 -60.1*1080238 -64922303.8 Calculate -21*-109899. 2307879 -0.2 * 0.1837002 -0.03674004 Product of 16103 and 2777. 44718031 Work out -0.733004 * -0.417. 0.305662668 Calculate -11150.5*-43.5. 485046.75 2581.6*-18071 -46652093.6 Work out -0.03615 * 21618. -781.4907 273494.5 * 0.73 199650.985 Calculate 21.4958*5. 107.479 Product of -1382 and -204.9. 283171.8 7859*18818 147890662 Product of 0.97497 and 2.2. 2.144934 What is the product of 0.14 and -5062158? -708702.12 0.068 times -0.0775536 -0.0052736448 Product of 2 and 749376. 1498752 -8342 times -0.864 7207.488 5.8*-10431878 -60504892.4 What is the product of 16911 and -104? -1758744 Product of -0.1034 and 1439.3. -148.82362 Work out 34433619 * 0.5. 17216809.5 What is the product of -6 and -226.5133? 1359.0798 Multiply 0.2 and -90573511. -18114702.2 0.35 * -1145.05 -400.7675 Work out 223762 * -5.5. -1230691 Multiply 279064.66 and 0.2. 55812.932 -0.331228*0.15 -0.0496842 Multiply 51518 and 1795. 92474810 What is the product of -44082 and 57? -2512674 Multiply -6.5193517 and -0.06. 0.391161102 Calculate 0.4*7074919. 2829967.6 What is -4322 times 0.1073? -463.7506 2447 times 0.36155 884.71285 What is -939122 times 0.154? -144624.788 What is 0.2 times -0.17931285? -0.03586257 What is 10 times -588335? -5883350 0.5*-1324.19529 -662.097645 Product of 2.0699 and -245. -507.1255 4800673.8*1 4800673.8 -5 * 1736427.3 -8682136.5 53405100*0.01 534051 0.027 times -169000.1 -4563.0027 -0.7215 * -3247 2342.7105 -46840 times 969 -45387960 Work out 89350479 * -0.4. -35740191.6 0.1 times -508300 -50830 Calculate -61572*-307. 18902604 9106413 * -0.06 -546384.78 Calculate 0.4316512*3. 1.2949536 Calculate -2.2*-2032842. 4472252.4 Multiply -34 and -420761. 14305874 What is the product of -0.0032338 and -81? 0.2619378 12.0983 times 0.0303 0.36657849 Product of -0.5 and 3557.774. -1778.887 Calculate -0.03122*-6540. 204.1788 What is -8710680 times -4? 34842720 -9199893 times 11 -101198823 What is the product of 0.1 and -22639547? -2263954.7 What is 0.009202 times 2777? 25.553954 -41736735 times -2.1 87647143.5 Calculate -1*-3247448. 3247448 Product of 7397 and -33. -244101 Calculate -10183754*-1. 10183754 Product of -5025.5077 and 7. -35178.5539 What is the product of -5033 and 5.7058? -28717.2914 Work out -5575399 * 0. 0 What is 1703 times 1.21? 2060.63 Work out -3 * -843170. 2529510 Product of 0.5 and -3.100437. -1.5502185 Work out 13631605 * 4. 54526420 13*1818329 23638277 88.7213*0.76 67.428188 -3745*-1122 4201890 What is the product of 28 and 190360.52? 5330094.56 22*-106227 -2336994 -40.25873 times -0.2 8.051746 Work out -1784 * -681.76. 1216259.84 Multiply -60.6234 and -0.31. 18.793254 7 * -15211686 -106481802 -0.04326 times -1.2516 0.054144216 Product of 1969.1043 and -0.3. -590.73129 Calculate -5.6*76006. -425633.6 Calculate -18.137*-74. 1342.138 Multiply 100553574 and 9. 904982166 What is the product of -8152.4157 and 1? -8152.4157 Multiply 6674676 and -2. -13349352 Multiply 2 and -12492.96. -24985.92 Product of 309 and -152.92. -47252.28 Product of 10119792 and -6. -60718752 Product of -507 and 18353.3. -9305123.1 Work out 4883 * -2.56. -12500.48 499.5205 * -0.4 -199.8082 -0.3 * -166354708 49906412.4 What is -21209.5 times 0.01? -212.095 What is 4385.2 times -0.07? -306.964 530.41 times -11.2 -5940.592 Multiply -22953517 and 0.09. -2065816.53 Product of -0.37 and 2529.42. -935.8854 Work out 4.7 * -3271069. -15374024.3 0.5*-4.8746628 -2.4373314 Product of -3413.2 and 2254. -7693352.8 Work out -30119 * 1524. -45901356 4*-145564 -582256 Work out -572 * -111725. 63906700 What is -39274703 times 2? -78549406 Product of -28 and -4465300. 125028400 What is the product of -88011987 and -0.5? 44005993.5 What is the product of -11768 and -0.8777? 10328.7736 Work out -72.4 * 83811. -6067916.4 What is the product of -3 and 398985? -1196955 Calculate 13466*16545. 222794970 What is the product of -0.5 and 17871957? -8935978.5 Product of 14233 and 28261. 402238813 -1.26 * 23407 -29492.82 -0.8535043 * -3 2.5605129 Product of -0.1327 and 23696. -3144.4592 -26073 * -749 19528677 Product of 0.5 and -213.5426. -106.7713 -0.4 times 1.0202812 -0.40811248 Work out 3 * 118.5731. 355.7193 0.5 times -18306404 -9153202 1 * 3.298661 3.298661 -86513848 times 0 0 Multiply -10.75 and -0.133391. 1.43395325 Work out 269.603 * 9.36. 2523.48408 What is 0.0255 times 1.67513? 0.042715815 Multiply -14 and -8.365784. 117.120976 Work out 229 * -250.541. -57373.889 Work out 37815 * -22404. -847207260 51146.5 times 308 15753122 What is the product of -125.2 and 948.7? -118777.24 What is the product of 3.709 and -8195.3? -30396.3677 Product of -552.8 and -1360. 751808 Product of 1.668 and 5.69. 9.49092 Multiply -141210 and -247. 34878870 Calculate 0.0784*830694. 65126.4096 Multiply -34700 and 155.8. -5406260 -1551 * -69767 108208617 What is the product of -162 and -774723? 125505126 Work out 1068 * -237080. -253201440 -0.04 times 68123.8 -2724.952 Calculate 5*1334109. 6670545 What is the product of 5 and 0.3295653? 1.6478265 Product of 253.857 and 1038. 263503.566 Work out 0 * 0.30976033. 0 Product of 319 and -6414.5. -2046225.5 211 * -2.1542 -454.5362 Work out -5158 * -3.09. 15938.22 Multiply 197949810 and -0.06. -11876988.6 What is -691 times 468428? -323683748 Work out 11818782 * 11. 130006602 Work out 3018.5668 * -38. -114705.5384 Work out -1114.61525 * -2. 2229.2305 104.7*1942.56 203386.032 -4 * 34488390 -137953560 1526*-3212 -4901512 Multiply -1.643157 and 1.6. -2.6290512 Product of -256420 and -6.8. 1743656 Product of -1230488 and 15. -18457320 Work out -716216 * -4. 2864864 Calculate 1887.4*-0.02. -37.748 Work out -1 * -57872580. 57872580 141904 * -1215 -172413360 -1867 * 6476 -12090692 3*-296.8637 -890.5911 Calculate 0.60338208*0.2. 0.120676416 -3.41065 * 0 0 Product of -77086.25 and 0.02. -1541.725 Multiply -8.3 and -83.13. 689.979 -0.0859 times 286476 -24608.2884 Work out 74829 * 0.035. 2619.015 Multiply 132124 and 1948. 257377552 Product of 22867745 and -0.4. -9147098 Product of 2 and -334838493. -669676986 What is the product of -34806.27 and 0.2? -6961.254 Product of -1398 and 14520. -20298960 2*8753.011 17506.022 What is the product of -780264 and -10? 7802640 Multiply -552937 and -37. 20458669 -148.752*5.19 -772.02288 9161091 * 0.3 2748327.3 Product of -726 and -138.161. 100304.886 Product of -70887713 and 2. -141775426 Work out 1.86733 * -0.569. -1.06251077 0.2893*1962 567.6066 3.75 times 2.9399 11.024625 Work out -262 * 9724. -2547688 What is 0.181 times 1996269? 361324.689 Multiply -26 and 0.118336. -3.076736 Calculate 5*75177.3. 375886.5 Multiply 0.2 and -903153. -180630.6 What is -0.23 times -162933? 37474.59 What is -306033 times -0.335? 102521.055 What is the product of 32345 and 17.2? 556334 930.68 times 202.54 188499.9272 0.1 * 65.00529 6.500529 What is the product of -0.13 and 2766006? -359580.78 Calculate 3679240*1. 3679240 What is the product of 744 and 2311? 1719384 Product of 11.43652 and -17. -194.42084 Calculate 369216614*3. 1107649842 Work out -13139.6 * 982. -12903087.2 Calculate -703*-2.78533. 1958.08699 3*0.0288944 0.0866832 Calculate 629617*0.07. 44073.19 What is 17540 times -3492? -61249680 What is 1594 times -12.406? -19775.164 -2 * -404068 808136 What is the product of -13651.21 and -0.2? 2730.242 0.05369 * -0.0548 -0.002942212 3.3 * -154.2 -508.86 Product of 20.3463 and 0.47. 9.562761 What is -208936442 times 0.3? -62680932.6 0.3 times 14240349 4272104.7 -0.79369146 times -0.1 0.079369146 What is the product of -21.893 and 861? -18849.873 -0.278 times -2694.51 749.07378 Calculate 1.137711*-1.38. -1.57004118 0.013466 * -1
{ "pile_set_name": "DM Mathematics" }
Suppose 916 + 218 = 11*a + 177. Solve -10*j - 167 + a = 0 for j. -8 Let q = -3287 - -3335. Solve q*h - 4 = 47*h for h. 4 Let f(j) = 11*j + 38. Let n be f(-3). Suppose -2*x + 12 = n*q, -22*q = -4*x - 19*q - 2. Solve 4*g + x - 1 = 0 for g. 0 Let r = -107 + 5. Let f = -102 - r. Suppose f*j = 7*j - 14. Solve 4*b + j = -6 for b. -2 Let h(c) = -c**3 + c**2 - c. Let x be h(1). Let j be (0 - 2) + 18 + x. Let f = -8314 - -8314. Solve -j = -f*r - 5*r for r. 3 Suppose 2*v - 23 = -11. Suppose -12 - 4 = -4*f. Let g = -4 + f. Solve g = -3*o - v - 0 for o. -2 Let r(y) = 7*y + 3 + 0 + y**2 + 5 + 0. Let g be r(-7). Solve 0 = 3*n - 1 - g for n. 3 Suppose -2*i + 73 = a, i = -5*a + 16 + 7. Solve i*k = 14*k - 24 for k. -1 Suppose 69*l = 5866 + 70517. Solve 49 = -l*s + 1114*s for s. 7 Let p be (-288)/48 - (6/33 - (-3968)/(-44)). Solve 42*m = 56*m - p for m. 6 Suppose -2*p = 5*j + 155 + 825, 3*p - 5*j = -1445. Let c = p + 487. Solve -c*o = 2 + 4 for o. -3 Suppose 3*o - 4*r = 466, -4*r + 612 = 12*o - 8*o. Suppose -24*c - o = -38*c. Solve c*m - 13*m = 0 for m. 0 Let t = -602 - -616. Suppose -t*f + 9*f = f. Solve -5*r + 6*r - 1 = f for r. 1 Let u(z) = z + 12. Let g be u(3). Suppose a + 1 = 2*m + 13, -5*a = -m - g. Suppose -a*w + f = 5*f - 24, 0 = 2*w - f + 1. Solve 8 = w*t - 2 for t. 5 Let k(y) = 2*y**3 - 12*y**2 + 22*y - 229. Let r be k(7). Solve 192 = 55*v - r*v for v. 6 Let v(q) = 4*q**3 - 20*q**2 - 5*q + 25. Let h be v(5). Solve -9*j - 10 + 37 = h for j. 3 Let v(z) = -z**3 + 4*z**2 - 5*z + 6. Let p = -108 - -111. Let u be v(p). Suppose u = -24*c + 26*c - 4. Solve c*x + 13 - 5 = 0 for x. -4 Let z(h) = h**2 + 8*h - 40. Let d be z(-11). Let y be 39/(-91)*d*13/3. Solve -17*l - 12 = -y*l for l. -3 Let t = -5244 + 5288. Solve 0 = 11*q - 33*q - t for q. -2 Let c(y) = 54*y + 38. Let p be c(3). Let i be (-11)/(-4) + 0 - 150/p. Solve 0 = i*q + q for q. 0 Let p(l) = -29 + 19*l - 16*l**2 - 34*l + 2 - l**3. Let a be p(-15). Let y be ((-153)/a)/((-4)/(-3) + -1). Solve 5*t + 8 = -y for t. -5 Let h(v) = 2*v + 4. Let u(r) = -5*r**2 + r. Let b be u(1). Let a be h(b). Let t be (a/14 - (-38)/(-14)) + 6. Solve -t*x + 20 = x for x. 5 Let j(z) = -31*z + 145. Let r be j(-23). Let c = 863 - r. Solve -c*v = 75 - 80 for v. 1 Let p(j) = -j**3 + 10*j**2 + j - 8. Let v be p(10). Let k(x) = -12*x**v + 13 - 8 - 15*x + 11 - 5*x**2 - x**3. Let z be k(-16). Solve z = -3*t - t + 20 for t. 5 Let j = 146 - 128. Suppose -l - 5*h + j + 0 = 0, -3*h = 5*l - 24. Suppose -l = -r - 1. Solve p = -r*p - 15 for p. -5 Let s be (-32)/(-15) - -5*2/(-75). Let r = 52 + -51. Suppose 3*f - 5*h - 2 + r = 0, 3*f = -h + 7. Solve 16 = -f*y - s*y for y. -4 Suppose 272*n - 362*n = -7020. Solve 34*i - 21*i - n = 0 for i. 6 Let k(p) = -3*p + 63. Let w be k(17). Suppose w*u = 10*u + 8. Let o be 15/10 - -2*(-3)/(-12). Solve -r + u = -o*r for r. -4 Suppose 6*u - 48 = 0, -468 = 20*w - 22*w + 5*u. Solve 5*p - w = -289 for p. -7 Suppose -127*q = 20*q. Solve -24*m + 7*m - 85 = q for m. -5 Let y(s) = 13*s + 67. Let j be y(-5). Suppose -7*w = -17 - 32. Solve w*x - 9*x = -j for x. 1 Suppose 28*v + 5754 = 12754. Solve -7*l - 208 = -v for l. 6 Let q be (8/(16/14) + -7)*(-2)/6. Solve -8*f - 32 = -q for f. -4 Suppose -9*t = 3*t + 72. Let x(h) = h**2 + 7*h + 6. Let p be x(t). Solve -11*i + 7*i + 16 = p for i. 4 Suppose -p = 4*v + 17, -4*p - 2*v = -0*v - 2. Let g = 130492 - 130488. Solve y = -p*y - g for y. -1 Let i be -6*2/(-18)*3. Suppose -w + 122 = -3*c, -3*c + 3*w = 4*w + 130. Let t = 43 + c. Solve 0 = 3*u - i*u - t for u. 1 Suppose 0 = 2*b - 0*b + 10, -5*c + b = -40. Let h(l) = 12*l - 77. Let o be h(c). Solve -4*n = -o*n for n. 0 Suppose 2*c + 5*r - 174 - 100 = 0, -4*c - 4*r + 548 = 0. Solve 134*x - 3 = c*x for x. -1 Let q = 23 - -29. Let u = q + -93. Let a = -39 - u. Solve 0*z + 2 = a*z for z. 1 Let y(o) = -o**2 - 6*o - 1. Let j be y(-3). Let h(a) = -5 - 6 - 5 + 2 + 4*a. Let q be h(4). Solve q*x = -j + 4 for x. -2 Let y = 43 - 40. Let x(u) = 2*u. Let k be x(y). Suppose -5*l + 12 = 2*z - 2*l, k = z + 4*l. Solve -3*b = -0*b - z for b. 2 Let c be 1/(-2) - (-49)/(-14). Let w = -1 - c. Let v be -1 + -1*54/(-9) - 1. Solve -w*u - 3 = -v*u for u. 3 Let p be 144/(-27) + 3036/198. Solve p + 245 = -51*f for f. -5 Let h(p) = -p**2 - 11*p. Let f(b) = b. Let i(y) = 4*f(y) - h(y). Let g be i(-15). Solve 3*t + 5*t = g for t. 0 Suppose 4*n + 5*t = 205, -4*n + 170 = -12*t + 10*t. Solve n - 27 = 9*k for k. 2 Let s(l) be the second derivative of -l**4/6 + l**3/6 - 9*l**2 - 4*l. Let i be s(0). Let r = i + 20. Solve r*d = -2*d for d. 0 Suppose -2*c = -6*c. Let k be 2/12*4 - (-712)/(-24). Let v = -27 - k. Solve c*u + u = -v for u. -2 Suppose 15*j = 96*j - 28790 + 2546. Solve 345*k = j*k - 84 for k. -4 Suppose 327 = 8*s - 169. Suppose -4*q + s = 22. Solve 3*j + q = -5 for j. -5 Let f(g) = 4*g**2 + 1. Let p be f(1). Let o(n) = 7*n - 7. Let t be o(-13). Let l = -79 - t. Solve 6 = p*x - l for x. 5 Let o(s) = s**3 + 25*s**2 + 26*s + 51. Let q be (21 - -3)/(3 - 4). Let i be o(q). Let n be (15/4)/(-5)*-4. Solve n*h + 0*h + i = 0 for h. -1 Suppose 5*x - 3*k + 6*k = 67, k = -2*x + 26. Suppose -5*q + a = -8, 0*q + q + 4*a + x = 0. Solve -19 - q = 4*f for f. -5 Let d be 90 + -81 - (4 - 124). Solve 52 = -11*c + d for c. 7 Let q = 4544 + -4535. Solve q*f = 5*f + 16 for f. 4 Let a = -244 - 126. Let i be 176/5 + 74/a. Solve -5*y + i = 15 for y. 4 Suppose 137 = 3*d + 74. Let b be (-4 + 5)/(1/7). Solve 0 = -b*p + 7 + d for p. 4 Suppose 4*b - 94*h = -92*h + 28, -5*b + 65 = 5*h. Solve 6*i - 15 = b for i. 4 Suppose -5*v + 2 + 3 = 0. Let p = -332 - -314. Let u be (-68)/(-35) + p/(-315). Solve -u*d + 3 = -v for d. 2 Suppose -16*j - 1928 = 616. Let u be j/(-33) - (-24)/132. Solve u*f - 8 = 7 for f. 3 Let i be (-2)/(-4)*((-1196)/(-23) - 12). Solve i*b - 5*b = -15 for b. -1 Let b = -119 + 122. Suppose 5*w - 3 - 27 = -5*y, 0 = -2*y - 5*w + b. Solve 0 = -2*m - 1 - y for m. -5 Let w = -19 + 27. Let t = w + 1. Suppose 2*j = 2, 4*j = -2*h + 5 + t. Solve v = h*v - 8 for v. 2 Let n(c) = 26*c**2 - 992*c + 175. Let u be n(38). Solve u*x - 60 = 38*x for x. -4 Let d(p) = p**2 - 13*p - 19. Let z be d(14). Let h be (-1 + -1)*z/(70/21). Solve -h*u = -5*u for u. 0 Let j be ((-77)/(-33) + -3)/(((-5)/(-12))/(-5)). Solve 13*t - 20 = j*t for t. 4 Suppose -11*o - 118*o = -2064. Solve 10*h - o = 8*h for h. 8 Let z be ((-53)/(-4))/(2/(-8)). Let f be (-11 + 18)/(2/16). Let b = f + z. Solve -b*c = -c for c. 0 Let p = -1673 + 1876. Solve -p*m - 42 = -196*m for m. -6 Let a be (-12)/3 + -36 + 40. Solve a = -68*o + 85*o - 119 for o. 7 Let w(p) = 4*p + 21. Let q be w(-5). Let u be (11 - 2) + (-2)/q. Let f be ((-6)/u)/((-1)/7). Solve 2*v = -0*v - f for v. -3 Let v be ((-10)/4)/(190/(-456)). Suppose v*a - 8*a + 112 = 3*j, 0 = 4*j + 4*a - 156. Solve 9*p + j - 7 = 0 for p. -3 Let t be (-238)/170 + 3/(-5) - -5. Let v(f) = -f**3 + 5*f**2 - 4*f - 4. Let u be v(t). Solve 3*r = -u*r + 15 for r. 3 Let s be -7 - (-1)/((-10)/10) - -67. Solve 29*y + s + 57 = 0 for y. -4 Suppose -4*q + 7*n - 2*n - 7 = 0, 4*n - 16 = -2*q. Suppose -q*u = -3*u - 4*x, -5*u = -3*x - 115. Let f be 28/21 - (-2)/3. Solve -f*r - 2*r = -u for r. 5 Suppose -2*k + 39 = 3*w, 14 + 1 = 5*w. Suppose -t - 62 - 441 = 0. Let i = t - -503. Solve i*p = -3*p + k for p. 5 Let p be (-6)/4*(-40)/15. Let m(g) = 3*g**2 - 219*g - 217. Let s be m(74). Solve -s = -p*n - 1 for n. 1 Let u be 495/(-66)*(-3)/5*2. Solve -4*p = u*p for p. 0 Let l be (65/(-65))/(2/24). Let d be l*1*(-9)/27. Solve d*f - 5*f = 5 for f. -5 Let r = 223 + -226. Let t be r/(-24) - (-3)/(-24). Solve 2*p - 10 + 4 = t for p. 3 Let x(g) = 2*g**3 + g**2 + 3. Suppose 6*p = 16 + 56. Suppose -2*m + 3*f + p = 0, -3*f - 2*f - 20 = 5*m. Let h be x(m). Solve 0 = 7*d - h*d for d. 0 Let v be 2 + 34 + -7 + -9. Suppose -3*b + 4*j - v = 0, -10*b + j - 5 = -6*b. Solve 9 = 3*t - b*t for t. 3 Suppose -5*f + 4 + 1 = 5*x, -25 = -5*f + 5*x. Let c = 35 - 18. Let t = c + -15. Solve -f*b = -t*b for b. 0 Let o(s) = -s**3 - 9*s**2 - 11*s - 95. Let q be o(-9). Let t be q/(-14) - (-32)/112. Solve -6*v + t = -6 for v. 1 Let p be (-5)/10*-6 - 1. Let h be 2/(-8) - 259/(-28). Suppose 5*d = 5*y - y + h, -4*y + 4*d - 4 = 0. Solve -p*w = -4*w + y for w. 2 Let m be 2*(-2 - 2)*154/(-616). Solve m*h = -7 - 1 for h. -4 Suppose -4*l - 3*
{ "pile_set_name": "DM Mathematics" }
er? False Is 21169039 composite? True Is 37041223 a prime number? False Is 52694351 prime? False Is 82926199 a prime number? True Is 24168047 a prime number? True Is 11153287 a composite number? False Is 205822493 composite? True Is 1030279 prime? False Is 10581197 prime? False Is 5854883 composite? False Is 297833 a composite number? False Is 3270149 a composite number? True Is 2081941 a prime number? False Is 282942499 a composite number? True Is 63992671 composite? False Is 325301 a composite number? False Is 107910827 a prime number? False Is 5627579 a composite number? False Is 90349397 a prime number? True Is 238197287 a composite number? True Is 33769689 a composite number? True Is 2453601 prime? False Is 42919753 composite? False Is 3340114 prime? False Is 2467853 a composite number? True Is 7258633 composite? True Is 6377285 a prime number? False Is 17574629 composite? False Is 5234969 a composite number? True Is 1072627 a composite number? False Is 1145471 a prime number? 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False Is 13566103 prime? False Is 9401011 prime? False Is 2718743 a prime number? True Is 172679387 prime? False Is 244377457 prime? False Is 426383635 a composite number? True Is 9309269 a prime number? False Is 21203671 prime? True Is 27931679 a composite number? True Is 35753279 composite? False Is 128866 composite? True Is 2838478 a prime number? False Is 16909651 a prime number? False Is 84385477 a composite number? True Is 87637453 a prime number? True Is 12022883 a prime number? True Is 17999857 prime? False Is 12827159 prime? True Is 11448839 a prime number? True Is 6005991 a prime number? False Is 3613651 composite? True Is 15412837 composite? True Is 99861 prime? False Is 2073163 a prime number? True Is 19318837 composite? False Is 4663157 composite? False Is 3482431 a prime number? False Is 314767 a composite number? True Is 306689 a composite number? False Is 107056907 composite? True Is 1357423 prime? True Is 56027791 a prime number? True Is 392879 composite? False Is 140665237 prime? True Is 69969643 prime? False Is 6736973 composite? False Is 20800667 composite? False Is 30976171 a composite number? True Is 31682531 prime? False Is 93705631 prime? False Is 137067457 a composite number? False Is 63476089 prime? True Is 9025451 prime? True Is 855611 a prime number? False Is 57159647 a composite number? False Is 44364281 a composite number? True Is 307067 a composite number? False Is 465407 composite? False Is 1487299 prime? False Is 13925533 a prime number? False Is 2998633 composite? True Is 425121769 a prime number? True Is 6292523 composite? True Is 1974701 prime? True Is 11752259 a prime number? False Is 2916293 composite? False Is 426013 a composite number? True Is 2001233 prime? False Is 1402986743 a composite number? False Is 53718817 a prime number? False Is 986237 prime? False Is 19753157 prime? True Is 1819331 a composite number? True Is 3315973 a composite number? True Is 14177411 composite? False Is 196696211 a composite number? False Is 4833443 a composite number? False Is 138990989 a composite number? True Is 5165129 composite? True Is 1293899 composite? False Is 10397003 a composite number? False Is 243305798 a prime number? False Is 14615929 a prime number? True Is 544800901 composite? True Is 2997103 prime? False Is 69196241 prime? True Is 295663 composite? False Is 364501 a composite number? True Is 1852327 a prime number? True Is 76333847 a composite number? True Is 73082123 a composite number? False Is 928631 a prime number? False Is 133902581 a prime number? True Is 594536095 a prime number? False Is 1245943 composite? False Is 140525279 prime? False Is 79838881 prime? True Is 45299921 composite? False Is 37368731 composite? False Is 4287755 composite? True Is 13496277 a composite number? True Is 37726021 prime? True Is 3099813 composite? True Is 23905041 prime? False Is 32932411 a composite number? True Is 4498261 a prime number? False Is 1728053 a composite number? True Is 188822449 composite? False Is 764681 a composite number? True Is 14523713 prime? False Is 18266671 a prime number? True Is 120299603 composite? False Is 7328593 composite? True Is 18219739 prime? True Is 68968447 prime? False Is 1394573 a composite number? False Is 35242345 composite? True Is 3692181 a composite number? True Is 132085831 prime? False Is 10652185 a composite number? True Is 10473251 prime? True Is 1897672253 prime? False Is 3879143 a composite number? False Is 4565443 a composite number? False Is 18639377 prime? True Is 4434499 composite? True Is 10617653 a prime number? True Is 162363 a prime number? False Is 70715101 composite? False Is 450793 prime? False Is 106323067 prime? False Is 43451 composite? False Is 793231557 a composite number? True Is 1508376673 prime? True Is 5098881 prime? False Is 1957979 a prime number? False Is 3116431 composite? True Is 20379691 composite? False Is 14394973 prime? False Is 42774311 a prime number? True Is 208870433 a prime number? True Is 4162307 a composite number? True Is 11117461 prime? False Is 308779031 a prime number? False Is 106110097 prime? True Is 391093 a prime number? False Is 1065481 a composite number? True Is 865637 a composite number? False Is 427512031 a prime number? True Is 9589991 composite? Fal
{ "pile_set_name": "DM Mathematics" }
ded by 16? 12 Let x = 26 - 3. Calculate the remainder when 204 is divided by x. 20 Let d(m) = m**2 + 5*m. Let w be d(-5). Let r(k) = k**3 - k + 4. Let a be r(w). Let o = 7 - a. Calculate the remainder when 7 is divided by o. 1 Let b be (-4)/3*(-3)/(-2). What is the remainder when 1/(2/152) - b is divided by (-137)/(-7) - 51/(-119)? 18 Suppose 2*r = -10, -c + r + 3*r + 24 = 0. Calculate the remainder when 11 is divided by c. 3 Let k(r) = -r**2 + 3*r - 12. Let p be k(6). What is the remainder when (p/20)/((-6)/80) is divided by 7? 6 Let r(d) = d**2 - 4*d - 24. Calculate the remainder when r(11) is divided by 9. 8 Suppose 3*g - 133 + 40 = 0. Let z = g + 1. Calculate the remainder when 62 is divided by z. 30 Calculate the remainder when 2 + -3 + (-156)/(-4) is divided by 8. 6 Let s = -39 + 55. Calculate the remainder when 2/(-5)*5*-23 is divided by s. 14 Let s(z) = -8*z**3 + 3*z**3 + 1 + 26*z**3. Suppose i + 2 = 0, -3*o - 6*i + 16 = -2*i. Calculate the remainder when s(1) is divided by o. 6 Let i = 3 + -3. Suppose -3*c + 2*c + 37 = i. Suppose -22 = -5*v + 43. What is the remainder when c is divided by v? 11 Let d = -12 + 21. Calculate the remainder when 7 is divided by 21/(-14) + d/2. 1 What is the remainder when 11 is divided by 12/(-5)*(-80)/24? 3 Let s(p) = 29*p - 7. What is the remainder when s(2) is divided by 28? 23 Let d = -103 - -120. Calculate the remainder when (-196)/(-3) + 2/3 is divided by d. 15 Let o(b) = 17*b**2 + 9*b + 4. Calculate the remainder when o(-2) is divided by 4. 2 Let p = 13 + -4. Let k(u) = -u**2 - u + 3. Let f be k(2). Let z(t) = -2*t - 3. What is the remainder when p is divided by z(f)? 0 Let h = 6 + -4. Suppose -2*n + 31 = 3*o, -h*n - 4 - 19 = -3*o. Calculate the remainder when 35 is divided by o. 8 Let f(x) = 2*x**2 + 2*x - 10. Suppose 0*l = -5*l - 20, 4*u - 8 = -5*l. What is the remainder when f(u) is divided by 26? 24 What is the remainder when 28 is divided by 30/(-4)*(16 + -18)? 13 Let v = 15 - 10. Let r = 4 - v. Calculate the remainder when 31 is divided by (16/5)/(r/(-5)). 15 Calculate the remainder when 19 is divided by (-4)/(-18)*-3 + 34/6. 4 Calculate the remainder when 98 is divided by (-4 + -1)*(-25)/5. 23 Let s be -55 - (1 + 2 - 1). Let p = -22 - s. What is the remainder when p is divided by 1/(6*(-6)/(-648))? 17 Let x(s) = 15*s**2 - s - 1. Calculate the remainder when 27 is divided by x(-1). 12 Let j(m) = -5*m - 1. Let u be j(-4). Let z = u + -12. Let p = -25 + 37. Calculate the remainder when p is divided by z. 5 Suppose -r + 2*r - 11 = 0. Let t(f) = f**3 - 12*f**2 + 12*f - 8. What is the remainder when 11 is divided by t(r)? 2 Let r(s) = 2*s**2 - 2*s. Let w be (2 + -12)*2/(-5). What is the remainder when w - 2 - (-6 + 1) is divided by r(2)? 3 Let y(f) = f**3 + 5*f**2 - 17*f - 4. Let s = -17 + 10. Let d(z) = 3*z**2 + 4*z. Calculate the remainder when d(-4) is divided by y(s). 15 What is the remainder when (-813)/(-39) - 8/(-52) is divided by ((-16)/20)/(2/(-15))? 3 Calculate the remainder when (-252)/((-5)/(-2) - 4) is divided by 58. 52 Let m(u) = 1 - 1 - 2*u + 1. Calculate the remainder when m(-6) is divided by 7. 6 Suppose -2*x + 0*x + 3*b = -38, -x - 4*b - 3 = 0. What is the remainder when 24 is divided by x? 11 Calculate the remainder when 18 is divided by (-46)/(-10) + 9/(-15). 2 Suppose -5*b = -3*p - 387, 3*b - 371 = -2*b - p. Suppose g - 4*w - 57 = 0, 3*g + 5*w = g + b. What is the remainder when g is divided by 24? 21 Let q(n) = n**3 - 7*n**2 + n - 18. Calculate the remainder when 207 is divided by q(8). 45 Let h(g) = -10*g**3 + g**2 - 1. Let x be h(-1). Suppose 3*q + 0*q - 104 = v, 3*q + 3*v = 108. Calculate the remainder when q is divided by ((-36)/x)/(12/(-40)). 11 Suppose -w - 2*i = -30, 4*i + 19 - 1 = w. What is the remainder when w is divided by 9? 8 Suppose 15 = 3*p + 5*a - 8, 3*a = 4*p - 50. Calculate the remainder when 43 is divided by p. 10 Let x = -3 + 42. What is the remainder when 19/(2/(1 + 1)) is divided by 0 - x/(-3) - 2? 8 Let f = 86 - 51. Calculate the remainder when f is divided by 6. 5 Let p = -32 - -70. Suppose -4*b - g + p = 0, 2*b - 16 = -2*g - 0*g. Let c = b - 7. What is the remainder when 7 is divided by c? 1 Let y = -2 + 10. Let t = -21 - -11. Let b = t - -13. What is the remainder when y is divided by b? 2 Let f = 14 + 22. Calculate the remainder when f is divided by 10. 6 Let o(t) = -99*t + 5. What is the remainder when o(-2) is divided by 17? 16 Let i(l) = l**2 + 2. Let j be i(3). Let k = j - 5. Calculate the remainder when ((-38)/(-1) - 4)/((-4)/(-2)) is divided by k. 5 Let l(o) = -o**3 - 3*o - 2. Let w be l(-2). Let x = w + 12. Let a(s) = s + 4. What is the remainder when x is divided by a(9)? 11 Let x(p) = 3*p + 24. Suppose t - 8 = 3. Calculate the remainder when t is divided by x(-7). 2 Suppose -z + 22 = -18. Calculate the remainder when 197 is divided by z. 37 Let i = 90 - 75. Calculate the remainder when 56 is divided by i. 11 Let u(m) = m**3 + 8*m**2 + 7*m - 2. Calculate the remainder when u(-6) is divided by 15. 13 Suppose -4*p = -5*g - 35, -p + 5*g + 0*g = 10. Suppose 0 = 13*c - 14*c + 28. What is the remainder when c is divided by p? 13 Let d be (-8)/(-10)*5/2. What is the remainder when 43 is divided by (36/8 + 1)*d? 10 Let w be (-2 + 3)/(1/4). Let h(a) = -5*a + a + 7 + a**2 - 2. What is the remainder when h(w) is divided by 3? 2 Let o = -17 - -28. Let n(h) = -2*h**3 + 10*h**2 - h + 11. Calculate the remainder when o is divided by n(5). 5 Let v = 39 - 34. Calculate the remainder when 12 is divided by v. 2 Suppose -7 - 1 = -l. Let w(o) = o - 2. Calculate the remainder when w(l) is divided by 3. 0 Suppose -4*g + 256 = -4*j, 0 = -j - 2*g - 45 - 13. Let u = -21 - j. Let q = -1 + 15. Calculate the remainder when u is divided by q. 13 Suppose -2*s - a = -40, 106 = 5*s - 0*a + a. Let x = 87 - s. What is the remainder when x is divided by 22? 21 Let c(u) = u + 3. Let r be c(-3). Suppose r = 2*m + 5 - 29. What is the remainder when 34 is divided by m? 10 Suppose 0 = o + 7 - 24. What is the remainder when o is divided by 4? 1 Suppose 0 = -p + 4 + 5. Let a(m) = m**3 - m**2 + 4. Let z(f) = f**2 + 14*f - 32. Let w be z(-16). Calculate the remainder when p is divided by a(w). 1 Let h(g) = -g**2 - 2*g + 9. Let l be h(0). Suppose 5*p - 4*a - 6 = 0, -l = -p - 3*p - a. Calculate the remainder when 7 is divided by p. 1 Suppose 4*y - 2*y + 2*c - 124 = 0, 5*y + c = 298. What is the remainder when y is divided by 31? 28 Suppose -4*s - 5*t + 307 = -8, s + t - 78 = 0. Suppose 2*c - 55 = i, -2*i + 0*i - 6 = 0. Calculate the remainder when s is divided by c. 23 Let w = -9 - -21. Let u = 244 - 187. Calculate the remainder when u is divided by w. 9 Suppose -56 = -3*i - o, -i - 2*o + 4*o = -21. Suppose 2*b = 2*s + 12, 0 = 2*b + 2*s + 3*s - 19. What is the remainder when i is divided by b? 5 Let c = 50 + -23. What is the remainder when c is divided by 10? 7 Let d(p) = p**2 + 2*p - p + 5*p - 4*p - 5. Let q be d(-4). Suppose 84 = q*y + y. Calculate the remainder when 62 is divided by y. 20 Let m = -62 - -95. Suppose -2*r = 3*k - 76, r + 3 = 5. Suppose a + a - k = 0. Calculate the remainder when m is divided by a. 9 Calculate the remainder when ((-144)/45)/((-2)/5) is divided by 3. 2 Let f(s) = s**2 - 2*s - 3. What is the remainder when ((-154)/33)/(24/(-9) + 2) is divided by f(4)? 2 Suppose 2*q - 1 = 75. Suppose u = -0 + 4, u = 3*l - q. What is the remainder when 55 is divided by l? 13 Let n = -40 + 49. Calculate the remainder when 43 is divided by n. 7 Let h(r) = 14*r**2 + 4*r - 3. Let u be (-2)/(-1 - (-3)/2). Let p be h(u). Let x = p - 144. Calculate the remainder when x is divided by 21. 19 Calculate the remainder when 4 is divided by (0 + 4/(-3))*(-6)/4. 0 Suppose -5 - 11 = -2*l. Calculate the remainder when 21 is divided by l. 5 Suppose 35 - 8 = 9*j. Calculate the remainder when j is divided by 3. 0 Suppose 4*j - 42 = j. What is the remainder when 40 is divided by j? 12 Let t(u) = -u**3 - 8*u**2 - 4*u - 15. Calculate the remainder when t(-8) is divided by 9. 8 Suppose 21 = 3*r - 3*y + 6, -2*y = 4. Suppose 4*d - r*d - 17 = 4*j, -3 = d. Calculate the remainder when 2 is divided by -2*1 - (j - -1). 0 Let j be (-271)/(-7) + (-8)/(-28). Let p = j - 19. Calculate the remainder when
{ "pile_set_name": "DM Mathematics" }
et j = 147/374 - -3/187. Is j bigger than -1? True Let r be (14/(-385))/((-34)/(-10)). Which is smaller: -1 or r? -1 Let u be -1 + (-1 - 1) + 1. Let k be 33/u*8/12. Is -12 greater than k? False Let l = -73.3 + 62.3. Which is smaller: -0.09 or l? l Let s(y) = -y**3 - 5*y**2 - 4*y - 17. Let d be s(-5). Suppose 30 = 7*n + d*n. Let r(o) = o**2 + 7*o + 9. Let h be r(-6). Is n equal to h? True Let i(x) = 7*x - 6. Let f be i(2). Suppose 2*g = f - 0. Is 4 at most g? True Let g = 150 + -161. Is g less than or equal to -3? True Let g be ((-54)/30)/(-2 - -33). Which is bigger: g or 1? 1 Let v(r) = -r**2 + 8*r - 14. Let f be (-204)/(-33) + 10/(-55). Let k be v(f). Which is smaller: -9/10 or k? k Let t = 13.93 + -14. Let o = -4 + 5. Is o > t? True Suppose -5*c + 5*s = 10 - 0, 5*c = -4*s + 17. Let d be c/2 - 1/2. Let z be 2 - ((-175)/80 - -4). Do z and d have the same value? False Suppose 0 = 133*i - 119*i - 56. Which is bigger: 108/29 or i? i Let o = 24 - 26.84. Let m = 0.84 + o. Is m < -0.7? True Suppose -r - 2 = -3*r. Let w(o) = -o + 1. Let k be w(2). Let d be r*(5 + k)/1. Which is smaller: 5 or d? d Let z(v) = 7*v + 21. Let t be z(-1). Which is smaller: t or 10? 10 Let v(t) = 10*t - 70. Let u be v(7). Let w = 11/2 - 6. Which is greater: w or u? u Let m = 30 - 27. Let g be -3 - (-1 + m)*-1. Is -3 bigger than g? False Let y(m) = 8*m**2 + 2*m - 40 - m**3 + 3*m + 3*m + 46. Let x be y(9). Let f be (-3 - (-5 - x))*1. Which is bigger: -0.5 or f? -0.5 Suppose 0 = -3*l - 5*r - 23, -4*l + 4*r - 3*r = 0. Let k = -44 + 175/4. Is l > k? False Let f = -183879434/492855 + -26/44805. Let i = f - -372. Which is smaller: i or 0? i Suppose 0 = -2*y - 2*k + 2 + 2, -k = 5. Suppose -34 = -5*n + 16. Let h = n - y. Which is greater: -0.4 or h? h Let q(m) = m**2 - 16*m + 116. Let h be q(8). Which is smaller: h or 37? 37 Let w(z) = 18*z + 29*z - 51*z + 17 - 2*z**2. Let y be w(5). Do y and -52 have the same value? False Let y(o) = 4*o - 1. Let s(u) = -17*u + 5. Let l(j) = -2*s(j) - 9*y(j). Let k be l(-3). Let n be (-2)/(k/1 - 3). Is n <= -1? True Let d(t) = -t**2 - 6*t - 5. Let l be d(-4). Suppose -i = 0, 4*p + 4*i = 3 + 1. Let x(s) = 5*s. Let f be x(p). Which is smaller: f or l? l Let l = 26 - 15. Let g = -8 + l. Suppose g*j = 6*j - 27. Are 10 and j non-equal? True Let l = 671 + -43617/65. Let b be -3 - (-2 + -2 + (-16)/(-8)). Is b at least as big as l? False Suppose -7*n + n = -12. Suppose -n*l = 2 - 26. Is l bigger than 13? False Let o = 2.82 + 1.13. Let r = 0.03 - -0.02. Let q = o + r. Which is greater: q or -2? q Let a = 1/1315 + -32882/9205. Which is smaller: -4 or a? -4 Let r(m) = m**2 + 20*m. Let n be r(-21). Let g be ((-1)/(-2))/(2/84). Is g less than or equal to n? True Let z = 13 + -25. Let s = -12.1 + 12.1. Which is smaller: z or s? z Let y(n) = 6*n - 63. Let m be y(10). Let t(a) = a**3 - 5*a**2 - a + 4. Let p be t(5). Let h = p - 2. Is h greater than or equal to m? True Let x = -230 + 243. Which is bigger: 2/3 or x? x Let c(m) = -6*m - 10. Let d be c(-7). Let s be 6/(-27) + d/(-18). Let t be 2/(-2) - 3/(-1 - -2). Is s >= t? True Let l be 4*(-1)/2*-10*1. Let c be ((-6)/105)/(4/l). Which is greater: c or -1? c Suppose 2 = -5*p - 3*g + 6, -p + 4*g + 10 = 0. Let s(w) = -w**3 + 2*w**2 - 2. Let x be s(p). Let q be 8/10*(-50)/130. Which is smaller: q or x? x Let s be 77/56 + 50/16 + -3. Does s = 3? False Suppose 5*r = -3*a + 3, a + 2*a = r - 15. Let l be ((-70)/30)/(r/27). Which is smaller: l or -22? -22 Let a = -45/22 + 203/110. Is 0.6 > a? True Let m = -266 + 265. Are m and -8/107 equal? False Let u = -244 - -474. Suppose 14*m = 4*m - u. Which is bigger: 3 or m? 3 Let g = -238.9 + 180. Is 0.1 <= g? False Let h = 12.82 + -0.42. Let n = 12 - h. Is n > 12? False Suppose k - 25 = -5*p, 7*p = 2*p - 5*k + 5. Let b(u) = 58*u**2 - 3 + u**3 - 58*u**2. Let c be b(2). Is c less than p? True Suppose 5*i - 85 = 3*p - 2, -4*p = -2*i + 92. Let r be 4/48 - -2*3/36. Which is smaller: p or r? p Let p be 6/((-18)/15) + (-190)/(-30). Which is smaller: p or -11? -11 Suppose 5*b + 3*v + 3 = 0, 4*b - 3*v + 7*v = -4. Is b equal to -4/527? False Let g be (6/(-42))/((-5 - -9)/(-8)). Which is greater: g or -730? g Let v be 1/8*4 + 3/2. Is v != 1/9? True Suppose -2407*y = -2411*y + 4. Which is smaller: y or 1/1101? 1/1101 Let t = 674 - 861. Which is smaller: t or -190? -190 Let a be (-145)/435 + (-4)/6. Which is smaller: a or -14.83? -14.83 Let f = 48 + -48.2. Let n = 0.07 + -0.37. Let t = n - f. Which is smaller: t or 5? t Suppose 3*f - g - 19 = 0, -11 = -3*f + 2*g + 6. Suppose -n - t + 7 = 0, 3*n = f*t - 3*t + 21. Suppose -n*r = -3*r. Which is smaller: r or 7? r Let q(i) = -3*i**3 + 5*i**2 - 25*i - 8. Let k be q(5). Which is bigger: -385 or k? k Let p = -12 - -14. Suppose -p*t - 16 = -k - 0*t, 4*k - 64 = -t. Let u be (-5)/(-6*12/k). Which is greater: 0 or u? u Suppose 15*y + 0*y = 45. Let m be y - 3/((-9)/(-12)). Is m greater than -1? False Let q be ((-6)/18)/((-1)/18). Suppose -2*m + d - 5*d = -q, d = -1. Which is greater: 34/9 or m? m Let h = -111187 + 1447422/13. Let r be 34*((-14)/(-4) - -1). Let k = r - h. Which is greater: k or 1? 1 Let t(m) = -m - 14. Let w be t(0). Suppose 38 = -3*d - f, -3*f + 11 = -2*d - 7. Is w smaller than d? True Let l be (-1 + 10/4)*(-448)/(-2898). Is -1 <= l? True Let g(l) = 79*l + 203. Let d be g(-20). Which is greater: d or -1378? d Let v(j) = -j**2 - j - 33. Let y be v(0). Let d be 6/(2/(-11) + 60/y). Let p(a) = a**3 + 3*a**2 - 2*a + 3. Let h be p(-4). Which is greater: d or h? d Let s be -2*7/(7/4). Let o = s + 46. Which is smaller: o or 37? 37 Let k be 36/10 + (-2)/(-5). Suppose -4*g + 3*g + 15 = 0. Let h be (-28)/(-70)*g/k. Which is smaller: -1/5 or h? -1/5 Let i(t) = t**3 - 10*t**2 + 14*t - 45. Let o be i(9). Let m = -16/21 - -2/21. Which is smaller: m or o? m Let q = 74 + -75. Which is greater: -2/9 or q? -2/9 Let b = -57 + 71. Let f be (-5004)/126 + (-4)/b. Is -41 less than or equal to f? True Let a = 148 + -91. Is a less than 3? False Let d be (-3)/166*(12 + -14). Is d equal to 1? False Let t(l) = 2*l**2 + 12 - 3 - 3*l**2 - 12*l + 11. Let r be t(-14). Which is smaller: -13/2 or r? r Let v be (-6)/14 + (-377)/2093. Is 2 <= v? False Let p(r) = r**3 - r**2 - 5*r + 3. Let z be p(3). Suppose -2*l - 3*n = -9, -z*n + n + 21 = 4*l. Let w be 4/(-2)*l/42. Is w less than or equal to 1? True Suppose 7*p - l - 252 = 4*p, -176 = -2*p - 2*l. Let x be p/(-100) + (-2)/(-8). Let w = -4 - -3. Do w and x have the same value? False Let q = -58 - -61. Suppose 7*w = q*w + 184. Is 46 < w? False Let h = -0.593 - 5.407. Which is greater: h or -7/2? -7/2 Let t = -7.5 + -1.5. Let d = 11.4 + -1.4. Let y = d + t. Which is greater: y or -1? y Let r = -25 - -27. Are r and 9 nonequal? True Let m = -3/128 - 187/2944. Which is smaller: m or -18? -18 Let i be ((-6)/(-2))/(15/(-20)). Let o(k) = -k - 4. Let g be o(i). Suppose -2*m + u + 12 = -0*u, g = -5*m + 5*u + 20. Is m bigger than 7? True Suppose -8*v = -54 - 2. Suppose -v*s - 21 = -0*s. Which is greater: -11/5 or s? -11/5 Let l = -603289597 + 19246144719761/31902. Let i = l + 2/1227. Is i smaller than 0? True Suppose 8 = -2*j + 3*t, j + 5*t = 4*j + 10. Let x be j/(-15)*(-15)/(-2575). Is 0 at least as big as x? False Let i(w) = -w**3 + 7*w**2 - 5*w - 6. Let r be i(5). Let l = -359 - -377. Is l greater than or equal to r? False Let o be 5/(-15)*156/34. Let v = 219/68 - o. Suppose 65*a - 112 = 37*a. Which is bigger: v or a? v Let x = -1.6 + 1.66. Let g = 3.7 - 3.5. Which is smaller: g or x? x Let o = 11204611 - 9131756468/815. Let w = -6/163 + o. Is 1 at most as big as w? True Let t be ((-4)/(-64)*6)/((-48)/14048). Is -111 at most as big as t? True Let o(q) = -q**3 - 11*q**2 - 11*q - 3. Let d be o(-7). Is d at least -120? False Let n = 13 - 25. Let k = 859.5 + -859. Is n equal to k? False Let i = -3.33 - -6.33. Which is smaller: 20 or i? i Let j = -0.1 + 0. Let c be 2/(-1)*-2*(-1)/20. Is c greater than j? False Let w = -20.74 + 9.74. Are 1.8 and w nonequal? True Suppose -5*l + 0*b + 8 = b, 5*b = 4*l - 18. Suppose -n - l = -1. Is -2/7 at least n? True Let s be ((-1)/9)/((-615)/(-45) + -14). Which is smaller: s or 67? s Let f(s) = -s + 4. Let m(r) = -2*r + 12. Let x(t) = 11*f(t) - 4*m(t). Let y be x(-2). Suppose 0*w = y*w + 2*k + 14, -3*w
{ "pile_set_name": "DM Mathematics" }
s**4 + 4*s**4 - 5*s + 9 to the form y*s + f*s**2 + q + v*s**3 + r*s**4 and give r. 1 Rearrange 10 - 1628*p**2 + 4877*p**2 - 1622*p**2 - 1622*p**2 - 14*p**4 - p - p**4 to the form z*p + j + x*p**3 + h*p**4 + t*p**2 and give j. 10 Rearrange (0 - 45 - 7)*(2*w - 3*w - w) - 29 + 68 - 18 - 85*w - 26 to g*w + n and give n. -5 Rearrange (-4 - 3 - 1)*(3 + 4 + 6)*(0*l - 6*l - 2*l) to the form n*l + c and give n. 832 Rearrange -18422*i - 4490*i + 1 - 9176*i to l + o*i and give o. -32088 Rearrange 102638*g**2 - 2*g**4 - 205277*g**2 - 17*g + g**3 - 2 + 102606*g**2 to m*g + f*g**3 + w + q*g**4 + c*g**2 and give f. 1 Rearrange -k**3 - k + k + (13 - 5 - 5)*(14 - 10 - 7)*(-1 + 1 - 4)*(4*k + 0*k - 3*k)*(4*k**2 + 2*k**2 - 5*k**2) to the form u*k**3 + p*k + v + s*k**2 and give u. 35 Rearrange 4*r + 10*r - 20 + 21 + 3*r - 48 to x*r + v and give v. -47 Rearrange 4700*u - 5033*u + 5 - 5 + 8049*u to the form b + j*u and give j. 7716 Express 5*k + 8 - 11*k**2 - 1 + 5*k**3 - 7*k**4 - 8*k**3 - 6 + 4*k**3 in the form y*k**2 + j*k + a + w*k**3 + t*k**4 and give j. 5 Rearrange 2585*l + l**2 - 2*l**2 - 663*l + 958*l + 2547*l to the form z + v*l + u*l**2 and give u. -1 Rearrange 5939*i**2 - 27*i**3 - 5868*i**2 + 5*i**3 to the form u*i**3 + h*i + g*i**2 + m and give g. 71 Express -739*g**2 + 1002*g**2 + 2816*g**2 as m + v*g + x*g**2 and give x. 3079 Express -2*v**2 - 10723 - 10481 - 8*v + 21471 in the form c + n*v + f*v**2 and give n. -8 Rearrange (-40*a - 57*a - 55*a)*(-8 + 15 + 42) + (a - 1 + 1)*(1 - 2 + 2) to the form i*a + c and give i. -7447 Rearrange -7339*b - 224 + 653 - 429 to y + h*b and give h. -7339 Express s + 249*s**2 - 90 + 252*s**2 + 254*s**2 - 756*s**2 as y + z*s**2 + l*s and give z. -1 Express -359*z**3 + z**2 + 578*z**3 + 4 + 1 - 302*z**3 in the form m + q*z**3 + j*z + w*z**2 and give j. 0 Rearrange -22 - 2*o + 22 + (-4 + 3 + 2)*(4*o + 4*o - 6*o) + 248*o - 3828 + 3828 + (-1 + 1 + 1)*(3*o + 4*o - 5*o) to the form c*o + x and give c. 250 Rearrange -10 - 6 - 8*p**2 + 7 - 16*p**2 + 21*p to the form i*p + r + w*p**2 and give r. -9 Express -28993 + 2385*z**2 + 57987 - 28994 as s*z**2 + h + m*z and give s. 2385 Rearrange 135*k**4 - 24*k**3 - 7*k**2 + 3*k**2 - 153*k - 1 + 6*k**2 + 155*k to d + a*k**4 + x*k**2 + u*k**3 + g*k and give u. -24 Express 1708 - 3424 + 4342*p + 1716 - 21132*p in the form t*p + g and give t. -16790 Express 59*r - 21*r - 159 - 35*r + (3 - 6 + 1)*(r - 4*r + r) + 0*r + r - 3*r in the form u + w*r and give w. 5 Express (-3108030 + 3108030 - 7105*v)*(0*v + v**3 + 0*v) in the form g*v**2 + n*v + x + z*v**4 + h*v**3 and give z. -7105 Express 6340*q**2 - 1 + 2968*q + 0 - 3173*q**2 - 3168*q**2 in the form j*q**2 + v + y*q and give j. -1 Express 1046*v**2 + 1033*v**2 + 35 - 3068*v**2 + 1043*v**2 in the form s*v**2 + f*v + c and give f. 0 Express (-6 + 1 + 2)*(-5 + 2 + 4)*(-1 + 1 - 1)*(4*g - g - 2*g)*(-9 - 2*g + 9)*(-1 + 5 - 3) as p + z*g + l*g**2 and give l. -6 Rearrange 5566*a**2 - 973*a**2 + 6*a - 6*a to the form p*a + n*a**2 + u and give n. 4593 Express -41 + 7 + 2289*t + 5 + 28 in the form q*t + i and give q. 2289 Express 0 - 546345*a - 2*a**4 + 546347*a + 4*a**2 + 2 as w + h*a + r*a**2 + s*a**4 + l*a**3 and give h. 2 Rearrange 40832*q - 124418 + 248839 - 124421 to the form d + t*q and give t. 40832 Express (2 - 2 - 2*y)*(2 + 1 - 2)*(-3 + 2 + 0)*((2 + 2 - 2)*(-322 - 104 + 99) - 1 - 3 + 3) in the form b + o*y and give o. -1310 Express -2*s - 3*s + 3*s + s - s + s - s + 5 - 5 + (-1 - 2*s + 1)*(-2 + 2 + 2) - 3840*s - 3310*s + 4347*s in the form h*s + y and give h. -2809 Express 2*p**4 + 0*p**4 - 4*p**4 - 38 + 4*p**4 - 4224*p**3 + 36 in the form w*p**2 + h*p**3 + f + s*p**4 + o*p and give f. -2 Rearrange (-2562 + 2562 - 63*v)*(6*v - 2 - 3*v + 0) + v**2 + 4*v**2 + 0*v**2 to the form a*v + p*v**2 + h and give a. 126 Express -1293*q - 642*q - 1035*q in the form p + v*q and give v. -2970 Express 7*c**2 - c**3 - 4525*c**4 - 811*c**4 + 39 - 5*c**2 - 41 as x*c**3 + q*c + f*c**4 + i + v*c**2 and give q. 0 Express -30*b**2 - 2 + 13*b**2 - 2*b**3 - 217*b**4 - 29*b**2 - 3*b**2 + 216*b**4 as j*b + q*b**3 + w + t*b**4 + s*b**2 and give s. -49 Rearrange (6 - 3*x - 6 + 0 - x + 0 + (-3 + 1 + 0)*(2*x - 4*x + 3*x) + 2 - 2 - 3*x)*(-1521 + 763 + 791)*(2*x - 2*x - 2*x) to t*x + r*x**2 + p and give r. 594 Rearrange 66*g - 28 - 45 - 63*g - 2 to v*g + u and give u. -75 Rearrange ((0 + 0 + 2*h)*(-50 + 10*h + 50) - 2*h**2 + 0*h**2 + 4*h**2)*(9*h + 10*h - 25*h)*(41 - 2*h - 41) to v*h**3 + u*h**4 + z*h**2 + c*h + w and give u. 264 Express -71 + 26*i**4 + 71 + (11 + 4 + 2)*(3*i + 2 - 2)*(-2*i**3 - 4*i**2 + 4*i**2) in the form y*i**3 + z*i**4 + f*i**2 + m + d*i and give z. -76 Rearrange 3 - 82*j**2 + 159*j**2 + 22*j - 1 - 13*j**2 - 3 to the form v + p*j + n*j**2 and give v. -1 Express -148*y + 20 - 148*y - 137*y + 435*y as j + b*y and give j. 20 Rearrange (-c**3 + 0*c**3 + 13*c**3)*(-29*c - 71*c + 17*c)*(-1 - 1 + 3) to the form m*c**2 + k + f*c + r*c**3 + h*c**4 and give h. -996 Rearrange (-63*u + 278*u - 48*u)*((1 + 2*u - 1)*(2 - 2 + 2*u) + 0*u**2 - 2*u**2 + 3*u**2 + 0 + 4*u**2 + 0) to h*u**3 + b*u**2 + d + y*u and give d. 0 Rearrange (4017*u**2 - 12479*u + 24945*u - 12466*u)*(1 - 3 + 0) to the form f + s*u + k*u**2 and give k. -8034 Rearrange 84 - 5*l - 220*l**2 + 80 + 97*l**2 + 120*l**2 to the form o*l + v + g*l**2 and give v. 164 Rearrange (3 + d - 3)*(-2 - 2 + 6) + 5*d + d - 3*d + 2*d + 2*d + 4*d + (-2 + 5 + 4)*(0*d - 4*d + 3*d) to g + r*d and give r. 6 Rearrange -33 + 4*f + 16 - 1 + 59 to the form g*f + m and give g. 4 Rearrange (4*z**2 - 2*z**2 + z**2)*(2 + 1 - 5) + 1780394 - 835*z - 1780399 - z**2 + 109*z to the form b + k*z**2 + s*z and give s. -726 Rearrange 21*a**3 - 29*a**3 - 26*a + 19*a - 82*a**3 - 32*a**3 + 1 to m*a**3 + g*a**2 + j + c*a and give m. -122 Rearrange 4*k + 0*k - 5*k - 1257*k**3 - k + 1282*k**3 to the form u*k + x*k**3 + m*k**2 + j and give j. 0 Express (127 - 127 + 15*y)*(3*y - 6*y + y) + (-2*y - y - y + (0*y + 0*y - 3*y)*(-1 - 5 + 1))*(7*y + 0*y - 4*y) in the form a + w*y + t*y**2 and give t. 3 Rearrange (25 + 15 - 57 - 3922*k + 19)*(-2*k**3 + k**3 - k**3) to t*k**3 + d + h*k + v*k**2 + c*k**4 and give c. 7844 Rearrange (2 + 3 - 3)*(-1005991 + 3*t**2 + 6899*t + 2011987 - 1005996) to the form n*t + a + h*t**2 and give n. 13798 Express 2336*q - 1484*q - 8828*q in the form a*q + x and give a. -7976 Rearrange -24*s**3 - 105*s**3 - 3*s**2 + 4*s**2 - 248*s**3 + 52*s**3 to z*s**3 + f*s**2 + g*s + i and give f. 1 Express 4*a**2 + 1100061*a**3 - 3 + a + 1 - 1100106*a**3 as j*a + h + b*a**2 + q*a**3 and give j. 1 Express 567*t**4 - 279*t**4 - 318*t**4 + t**3 + 22 in the form n*t**4 + f + b*t**2 + z*t + c*t**3 and give n. -30 Express 9 - 46 - 22*k + 15*k + 33*k - 23 in the form x*k + p and give p. -60 Rearrange 5 - r**3 + 900*r**2 + 742*r**2 - 1653*r**2 - r to o*r**3 + n + k*r + c*r**2 and give k. -1 Express 47438*n + 44552*n + 1 - 106114*n as p*n + w and give p. -14124 Rearrange -y**2 - 67*y + 283*y**3 + 185*y - 2 - 58*y - 67*y**3 - 58*y to j + k*y + g*y**2 + l*y**3 and give g. -1 Rearrange 9 - o**2 - o**3 + 7*o**4 - 6*o**2 - 2 - 14 + o**2 to y + t*o**3 + m*o + s*o**2 + p*o**4 and give y. -7 Express -320*y**4 + 4*y**4 - 3*y**3 + 2*y**2 + 1 - 8*y**3 + 10*y**3 - y**3 as f + a*y**4 + s*y + x*y**2 + u*y**3 and give f. 1 Rearrange (0 - 8*v + 0)*(-21*v**2 + 5*v**2 - 42*v + 19*v**2) to n*v**3 + p + i*v + d*v**2 and give d. 336 Rearrange v - 73 + 351 - 91 - 122 + 3*v to g + u*v and give g. 65 Express -7*q**3 - 3694*q**2 + 2 + 1883*q**2 + 2*q**4 + 1923*q**2 as j + y*q**2 + o*q**3 + k*q + h*q**4 and give o. -7 Rearrange -30346*g**3 + 15173*g**3 + 8*g + 15170*g**3 - 5*g**2 to o + b*g + t*g**3 + d*g**2 and give d. -5 Rearrange (3 - 2*o**3 - 3)*(1 + 0 + 0) - 937*o**3 - 2455*o**3 - 994*o**3 to q*o**2 + g*o + k + c*o**3 and give c. -4388 Rearrange 345*d + 3916*d - 522*d + 1628*d + (4*d + 0*d - 2*d)*(-1 + 1 + 1) to the form i + k*d and give k. 5369 Express (0 + 7 - 1)*(-3*z + 2*z - z)*(-1810*z**3 + 882*z**3 + 891*z**3) in the form q*z**2 + a*z + l*z**3 + t*z**4 + f and give t. 444 Express 63*i + 2*i + 4*i**3 - 405*i**2 - 4*i - 3*i**3 - 59*i in the form k*i**3 + w*i**2 + l*i + f and give l. 2 Rearrange -178*p + 7*p + 2*p + 7*p**3 + 3 to n*p**2 + f*p**3 + s + v*p and give v.
{ "pile_set_name": "DM Mathematics" }
is divided by (-10)/r*1*33? 47 Suppose 2*b + 5*c - 142 = 0, 130*b - 135*b - 3*c + 355 = 0. Calculate the remainder when 917 is divided by b. 65 Suppose -3*c - 17*k = -12*k + 5, -5*c - 3*k + 13 = 0. Suppose -5*n - 4*h + 443 = 0, 108 + 180 = 3*n - c*h. What is the remainder when n is divided by 33? 25 Suppose j + m - 961 = 0, 0 = j - 3*m - 283 - 682. Calculate the remainder when j is divided by 39. 26 Let c be (112/10 - 2)*(-393 + 388). Let b = 83 + 4. Let r = b + c. What is the remainder when 326 is divided by r? 39 Let d = -172 - -107. Let b = d - -110. Suppose 3*r = 3*m + 33, -4*m = 5*r - 0*m - 64. What is the remainder when b is divided by r? 9 Let x = -38 - -53. Let t be (-2 - x/(-9))*-114. Let b = t - 18. What is the remainder when b is divided by 12? 8 Let j(g) = 3*g**2 + 78*g + 4240. What is the remainder when j(-36) is divided by 34? 16 Let k = -360 + 529. Let v = k + -71. Let j = 134 - v. What is the remainder when j is divided by 21? 15 Let g be 2*66 + 16/(-8). Suppose 5*i = -5*p + i + 7, i + 2 = 0. Suppose p*b - g = -2*b. Calculate the remainder when 100 is divided by b. 22 Suppose 2*p = -2*x + 24, 141 = -x + 4*p + 148. Calculate the remainder when 297 is divided by x. 0 Let g(a) be the second derivative of 5*a**4/6 - a**3/6 + 2*a**2 - 37*a. What is the remainder when g(5) is divided by 21? 18 Let o(i) = 950 - 472 + i**2 - 456 - 23*i. Let w = -92 - -156. Calculate the remainder when w is divided by o(23). 20 Let j = 86 - 83. Suppose 2*f + 7 - 30 = -j*n, f + n - 14 = 0. Calculate the remainder when f is divided by 15. 4 Suppose 0 = 7*r - 499 - 873. Let n = 230 - r. Calculate the remainder when 305 is divided by n. 33 Let p(g) = g**3 + 14*g**2 + 15*g + 44. Calculate the remainder when p(-9) is divided by 12. 2 Let f(j) = j**2 + 4*j + 6. Let g(a) be the second derivative of a**4/6 + 5*a**3 + 149*a**2/2 - 5*a - 1. What is the remainder when g(-9) is divided by f(-4)? 5 Let q = -7412 + 7922. Calculate the remainder when q is divided by 73. 72 Let w be (-150)/(-9) + -4 - (-4)/12. Suppose -w*y = -8*y + 2150. Let p = y - -686. Calculate the remainder when p is divided by 65. 61 Let v = 20722 + -20633. Calculate the remainder when v is divided by 87. 2 Let x = -92 + 238. Let t = -125 + x. What is the remainder when t is divided by 7? 0 Suppose -75 = -19*o - 18. Suppose -2*f + o*v = -7*f + 153, 5 = 5*v. Calculate the remainder when 78 is divided by f. 18 Let r(o) = -9*o**3 + 2*o**2 - 3*o - 4. Let s be r(-1). Let v(u) = -u**3 + 10*u**2 + 11*u - 27. Calculate the remainder when v(s) is divided by 12. 11 Let n = -5247 - -5287. Calculate the remainder when 722 is divided by n. 2 Calculate the remainder when (-36104)/(-244) - 108/(-3294) is divided by 28. 8 Suppose 186*f = 9372 + 80466. Calculate the remainder when f is divided by 38. 27 Let f = 84581 + -84504. Suppose -3*y = 2*m - 84, 0*m - 5*m + 2*y = -229. What is the remainder when f is divided by m? 32 Let z = -1255 - -1780. Let w = z - 142. Suppose q + 0*q = -4*l + 298, -5*l + w = -4*q. Calculate the remainder when l is divided by 39. 36 Let s be 27778/989 - 2/23. Suppose s*m - 1127 = 861. What is the remainder when 138 is divided by m? 67 Suppose v - 2 = 2*q - 10, 0 = 4*v - 2*q + 8. Let w be 44/(-176) - (1/(-4) + v). Suppose 34 = b - w. Calculate the remainder when 65 is divided by b. 31 Suppose 0 = 51*j + 28*j - 8216. What is the remainder when 1131 is divided by j? 91 Suppose -1051*u = -u - 96600. Suppose 78 = 3*m + 4*w - 172, -4*m + w = -365. Let k = m - 58. What is the remainder when u is divided by k? 28 Suppose 25*p = -3*z + 19*p + 2280, 3016 = 4*z + 4*p. What is the remainder when z is divided by 75? 73 Suppose 67 = 639*n - 637*n + b, -3*n + 2*b + 118 = 0. What is the remainder when 109 is divided by n? 1 Let m = -24098 - -24473. Calculate the remainder when m is divided by 96. 87 What is the remainder when 545 is divided by 302/7 + (-27 - 4324/(-161))? 29 Let b(n) = -n**3 + 4*n**2 + 3*n - 6. Let k be b(4). Suppose k*w - 215 = w. Calculate the remainder when w is divided by 3*9 - ((-5540)/(-2216))/((-2)/(-4)). 21 Suppose -4*x - 5*a + 3251 = 0, 13*x - 11*x - a = 1615. Calculate the remainder when x is divided by 200. 9 Suppose -804*a = -807*a + 3102. What is the remainder when a is divided by 103? 4 Let m(g) = 28*g + 736. What is the remainder when 646 is divided by m(-25)? 34 Suppose 4*i + 4*p = 1100, 2333 - 118 = 8*i + 5*p. What is the remainder when 880 is divided by i? 40 Let z = -66 + 72. Let x be (38/z - 8/(-12))*43. Let s = x - 178. What is the remainder when s is divided by 18? 15 Let u(i) = 19*i**2 - 5*i**3 - 4*i**3 + 13 - 26*i**2 - i + 7*i**3. Calculate the remainder when u(-4) is divided by 12. 9 Calculate the remainder when 116 + (0 - -1)/(9/(-27)) is divided by 33. 14 Suppose 4*a + 5*y - 42 = 2, -2*y = 4*a - 32. Suppose -117*j = -414 - 319 - 4766. What is the remainder when j is divided by -1*6*(-16)/a? 15 Suppose 34 = -912336*n + 912338*n. What is the remainder when 1006/10 - (-2)/5 is divided by n? 16 Let c(m) = -211*m + 2413. What is the remainder when 309 is divided by c(11)? 33 Suppose 285 = -5*w + u + 1423, -4*w = -u - 910. What is the remainder when w/2 + (-1 - 8) + 6 is divided by 3? 0 Let n = 71 - -52. Let t = -22 + 64. Calculate the remainder when n is divided by t. 39 Let d(f) = -80*f - 12. Let a(o) = -27*o - 4. Let h(y) = -17*a(y) + 6*d(y). Let r be h(-3). Let m = -56 + r. What is the remainder when 9 is divided by m? 0 Let f = 34099 + -32766. Calculate the remainder when f is divided by 439. 16 Let o = 331 + -319. Suppose o = 9*s - 618. What is the remainder when s is divided by 20? 10 Let k = 27880 + -27395. What is the remainder when k is divided by 230? 25 Let o(b) = 2*b**3 - 4*b**2 - b + 5. Let l be o(3). Suppose -l*t = 71 - 191. What is the remainder when 1/(92/(-96) + 1) is divided by t? 0 Suppose 0 = 5*p + 5*n - 2060, 83*n - 80*n + 2116 = 5*p. What is the remainder when p is divided by 112? 83 Suppose 3*u + x = 1026 + 1102, 4*u - 2841 = -5*x. Calculate the remainder when 2142 is divided by u. 15 Suppose -14*o + 30*o = -64. Calculate the remainder when (-6 + 14)/16 - 210/o is divided by 6/(-4)*-4 + 2. 5 What is the remainder when 450 is divided by 340/8 - -5 - (-9)/18? 18 Let r = -11 + 15. Suppose -2*m = m + 3, -r*m = -t + 6. Suppose o - 5*o = t*z - 76, 0 = z. What is the remainder when 50 is divided by o? 12 Suppose -2*g - 2*t - 76 = -3*g, 0 = -t - 5. Let a = g - 59. What is the remainder when 125 is divided by a? 6 Let d(m) = 234*m - 5097. Calculate the remainder when d(26) is divided by 15. 12 Let u be ((-2987)/(-203))/(1/7). Suppose 177 = 20*k - u. Calculate the remainder when 530 is divided by k. 12 Let m = 58 + -56. Let l be ((-1)/m*15)/(6/(-40)). Suppose -6*a = -a - l. Calculate the remainder when a is divided by 9. 1 Let g be 574/8 + 1/4. Let b be 1/63*927 + (-4)/(-14). Calculate the remainder when (b/8*2)/(3/g) is divided by 13. 12 Let n(h) = 12*h**2 - 33*h + 207. Calculate the remainder when n(8) is divided by 120. 111 Let p(f) = -f. Let s(i) = 3*i + 105. Let u = 96 - 95. Let l(h) = u*p(h) + s(h). What is the remainder when l(0) is divided by 37? 31 Suppose -4*t + 4*b + 5245 = 3345, 2*t + 3*b = 975. What is the remainder when t is divided by 129? 93 Let x(l) = 465*l**3 + 20*l**2 - 20*l + 2. Calculate the remainder when 1877 is divided by x(1). 9 Let f = -920 + 1029. What is the remainder when 4141 is divided by f? 108 Let c be -1 + 0 - 32/2. Let g(y) = -29*y - 11. Let s(j) = -24*j - 10. Let u(i) = 5*g(i) - 6*s(i). Calculate the remainder when u(c) is divided by 8. 6 Suppose -628 = -61*l + 57*l. Let b = l - 24. Calculate the remainder when b is divided by 27. 25 Suppose 20*r - 189 = 17*r - 0*r. What is the remainder when 617 is divided by r? 50 Let m be -3*141/27*-3. Suppose 2*h + 2*x = m + 65, x = 3*h - 152. What is the remainder when 154 is divided by h? 50 Suppose 18*u = 11*u + 105. Let z = 44 + u. Calculate the remainder when z is divided by 39. 20 Let g(j) = -8*j + 2. Let k be g(-8). Suppose 87*y = 89*y - k. What is the remainder when 177 is divided by y? 12 What is the remainder when 620 - 26/(24/12) is divided by 61? 58 Suppose 5*a + 2*u = 178 + 610, -3*u - 768 = -5*a. Suppose -5*n - 3*f = -94, -4*n = -3*n - 3*f - 26. What is the rem
{ "pile_set_name": "DM Mathematics" }
(b) be the first derivative of -9*b**2/2 + 5. What is the units digit of i(-2)? 8 Suppose 2*a + 12 - 52 = 0. What is the units digit of a? 0 Let m(t) = t**3 - 7*t**2 + t + 3. Let j(k) = k**2 - k. Let h(l) = -3*j(l) + m(l). What is the units digit of h(10)? 3 Let f(t) = -3*t + 4 - 5 + 2 + 4. What is the units digit of f(-5)? 0 Let v(m) = m**3 - 4*m**2 - 6*m + 2. Let l be v(5). What is the units digit of ((-4)/(-2) + l)*-14? 4 Let u be (3 + -3)/2*-1. Suppose -r = -u*r - 9. What is the units digit of r? 9 Suppose -3*u = g, -6 = -4*g + g - 3*u. Let o = g - -22. What is the tens digit of o? 2 Let f(o) be the third derivative of -o**4/12 - o**3/2 - 4*o**2. What is the units digit of f(-6)? 9 Let k(s) = s**3 + 6*s**2 + 4*s + 6. Suppose 20 = 5*z - 0*z. Suppose -3*r = 4*v + 11, -6*v = -2*v - z*r + 32. What is the units digit of k(v)? 1 Suppose 3*r - 5*h = 505, -150 - 705 = -5*r - 5*h. Suppose a - r = -4*a. What is the tens digit of a? 3 Let d = 22 - 10. Let b(n) = -n**2 - 7*n + 1. Let f be b(-8). Let r = d + f. What is the units digit of r? 5 Let t = -46 + 115. What is the tens digit of t? 6 Let n(d) = -13*d - 3. What is the tens digit of n(-3)? 3 Suppose -4*j = 12, 0*m - 2*m = -3*j - 69. Let f(c) = 4*c + 6. Let k be f(9). Let i = k - m. What is the units digit of i? 2 Suppose 11 = 3*n + 2. Suppose n*g - 40 = -g. Let q = g - 4. What is the units digit of q? 6 Let t(z) = 3*z**2 - 6*z - 11. What is the units digit of t(7)? 4 Suppose 4*z + 0*b + 2*b = -2, -1 = -4*z - b. What is the units digit of z? 1 Suppose -3*n + 9*n = 78. What is the tens digit of n? 1 Let u(k) = 32*k**2 + 9*k + 2. What is the units digit of u(-3)? 3 Suppose 6*a - 2*s = 3*a + 10, -a = -5*s + 14. Suppose m = 4*m + 12, d - m = a. What is the units digit of d? 2 What is the tens digit of (-291)/(-6) + (-3)/6? 4 Let o = 13 + -11. Let h be (0 - -1) + -2 + 36. Suppose o*v - h = -3*v. What is the units digit of v? 7 Let m = -125 - -186. What is the tens digit of m? 6 Suppose -4*g + 26 = 5*y, -2*y = y - 6. Suppose 2*f - 3 = -5*h + g, 20 = -5*f. What is the units digit of h? 3 Suppose 0 = -4*b + 20, -b + 0 = -u + 153. What is the units digit of u? 8 Suppose -4*q + 317 = -99. Suppose 5*p + 2*s - q = 176, -2*s = 3*p - 168. What is the tens digit of p? 5 Let s be 1*(-31)/2*-2. Suppose 3*t = 11 + s. Suppose -35 + t = -3*a. What is the units digit of a? 7 Let m(f) = f**3 + 7*f**2 + 7*f + 1. What is the tens digit of m(-5)? 1 Suppose 4*p + 3*n - 445 = -0*n, n = -2*p + 225. What is the units digit of p? 5 What is the tens digit of -1 + 207/5 + (-9)/(-15)? 4 Let p = -52 - -73. What is the units digit of p? 1 Suppose 0 = 2*w - 5*f + 9, -3*w = -0*f + 3*f - 18. Let o = -4 + w. What is the units digit of (2/(-3))/(o/12)? 8 Suppose i + 3*l + 10 = 0, 2*l = 3*i - 28 + 3. Suppose 0 = u + c - i, 4*c = 3*c + 1. Suppose -u*q + 51 = -1. What is the units digit of q? 3 Suppose -3*n - 40 = -256. What is the tens digit of n? 7 Let r be (-9)/(1 - (-2)/4). Let y = 18 - r. What is the tens digit of y? 2 Let v be 25/2*(7 - -1). Suppose -y - v = -6*y. What is the units digit of y? 0 Suppose -v = v - 10. Suppose -2*b = -v*b - 9. Let j = b - -10. What is the units digit of j? 7 Let p = -32 - 2. Let l = -11 - p. What is the tens digit of l? 2 Suppose 0 = -2*o, 3*f + 0*o = 5*o + 9. Suppose f = 5*t - 2. Suppose -5*w - t + 13 = -x, 2*w + x - 2 = 0. What is the units digit of w? 2 Let a(z) = -z**3 - 2*z**2 + 2*z - 1. Let f be a(-3). Suppose s = t + 1, f*s - t = 4*t - 7. What is the units digit of s? 4 Suppose -5*w + 225 = 70. Let q = -7 + w. What is the units digit of q? 4 Let h(w) be the first derivative of w**4/4 + 4*w**3/3 - w**2 - 5*w + 1. Suppose -u - 4*u - 23 = 3*r, -4*u - 5*r - 21 = 0. What is the units digit of h(u)? 3 Let j be ((-3)/(-3))/(-2 + 3). Let s = j - -5. Suppose -t + 4 = -s. What is the tens digit of t? 1 Suppose 0 = -5*x - 2*d + 3*d + 440, -2*x + 188 = 2*d. Let b = -42 + x. What is the tens digit of b? 4 Let q(s) = -s**3 + s**2 - 4. Let g be q(-3). Let k = 24 + g. What is the units digit of k? 6 What is the units digit of (-2380)/(-60) + 1/3? 0 What is the tens digit of 897/27 + 4/(-18)? 3 Suppose 14*f = 5*f + 405. What is the tens digit of f? 4 Suppose -3*k = 2*p, -p - 5*k = -0*k. Suppose -6*y + 4*y + 28 = p. What is the tens digit of y? 1 Let u = -4 - -4. Suppose 3*r = -6*j + 3*j + 39, r - 3 = u. What is the units digit of j? 0 Let n(k) = -k - 8. Let h be n(-8). Let d = h + -14. Let y = 30 + d. What is the tens digit of y? 1 Let c(k) = -10*k**3 + 18*k**2 - 11*k - 21. Let j(t) = 3*t**3 - 6*t**2 + 4*t + 7. Let m(n) = 2*c(n) + 7*j(n). What is the tens digit of m(5)? 1 Let h(t) = -t**2 - 5*t + 20. What is the units digit of h(-7)? 6 What is the tens digit of 20 + (2 - 0/(-1))? 2 Suppose 0 = 4*k - 125 - 115. What is the units digit of k? 0 Let i(g) = -g**3 + 5*g**2 + 7*g - 4. Let a be i(6). Let b = -36 - -58. What is the tens digit of (3 - 2)/(a/b)? 1 Suppose -10 = -4*z + 2. Suppose 4*k = -z*a + 31, -k - 3*k - 41 = -5*a. What is the units digit of a? 9 Let g = 54 + -8. What is the tens digit of g? 4 Let t = -1 - -3. Let d(p) = 2*p + 3*p**2 - p - t*p**2. What is the units digit of d(-3)? 6 Suppose -4*u + 123 = -21. Suppose 0 = 3*r - 3*g - u, g - 6*g - 18 = -2*r. What is the units digit of r? 4 Suppose -25 = -2*n - 3*n. Suppose u = n + 2. What is the units digit of u? 7 Let m = -12 - -40. What is the units digit of m? 8 Let o(l) = l**3 + 4*l**2 - 5*l + 7. What is the units digit of o(-5)? 7 Suppose -4*q = -4 - 48. What is the units digit of q? 3 Let s(g) = -g**3 - 9*g**2 - 9*g - 1. Let i be s(-8). Let k = 14 - i. Suppose -k*x - 16 = -3*x, -4 = y + 2*x. What is the units digit of y? 4 Suppose -124 = 2*w - 6*w. Suppose 7 = 2*d + w. What is the units digit of d/(-20) - (-2)/5? 1 Suppose 7*n - 581 = 532. What is the units digit of n? 9 Let j = 20 + -11. Suppose p - 4*p + j = 0. What is the units digit of (p - -1)*9/12? 3 Let r(s) = -s**3 - 7*s**2 + 1. Let z be r(-7). Suppose -46 = -5*y - z. What is the units digit of y? 9 Let h = 16 + -10. Suppose 0 = 5*y - 5, 5*b + 2*y - y - h = 0. What is the units digit of b? 1 Let w = -7 + 13. Let z be (-2)/(-4) - (-29)/2. Suppose z = w*h - 3*h. What is the units digit of h? 5 Suppose 2*m - 3*d - 3 = -6, 5*m + 20 = -5*d. Let a be -8 + 1/(m/6). Let u = a - -14. What is the units digit of u? 4 Let i(n) = 21*n + 5. What is the units digit of i(4)? 9 Let z = 6 - 1. Suppose -9 = -2*h + z*h. What is the units digit of h/(9/(-6)) + -1? 1 Suppose 2 = k + o - 0*o, k - 3*o - 14 = 0. Let y be (1 + k/(-3))*-6. Suppose 10 = 5*d + y*q, -6*q = -5*d - q + 55. What is the units digit of d? 6 Let u be (-27)/9 - -1*3. Suppose -6*o + 2*o + 145 = -5*y, u = 5*o - 3*y - 178. What is the units digit of o? 5 Let u(c) = -c**3 + c. Let n be u(1). Suppose 2 + n = p. Suppose -4*w = -k - p*w - 6, -3*k - 8 = -4*w. What is the units digit of k? 4 Let b(t) = -t**2 + 22*t - 10. What is the units digit of b(8)? 2 Let b = -74 + 285. What is the units digit of b? 1 Suppose -2*r - 2 = -c + 2*r, c = 5*r + 3. What is the units digit of (3 + c)/((-1)/(-23))? 3 Let q = 371 + -185. What is the hundreds digit of q? 1 Let p(t) be the first derivative of 2*t**3/3 + t + 2. Let q(r) = r**2 - 3*r - 2. Let a be q(3). What is the units digit of p(a)? 9 Suppose -8 = -6*s + 2*s. Suppose 10 = -0*h - 2*h, s*o + 2*h = 0. What is the units digit of o? 5 Let p(n) = n. Let m be p(5). Suppose 0 = m*h + 3 + 2. Let d(u) = -13*u**3 + u**2 + u + 1. What is the tens digit of d(h)? 1 Suppose 0 = -4*p + 390 - 102. What is the tens digit of p? 7 Suppose -3*l = 5*d - 8*l - 360, 0 = 4*d + 3*l - 253. What is the tens digit of d? 6 Suppose -u + 2*u = z + 8, -5*u = -3*z - 34. Let m = u - 3. What is the units digit of m/(3/(-2) - -2)? 4 Let l = 24 + 27. What is the units digit of l? 1 Let y = -8 - -10. Suppose -12 = -y*w - w. What is the units digit of (25/10)/(1/w)? 0 Let o(s) = -s**3 - 5*s**2 + 6*s. Let u(h) = 2*h**3 + 10*h**2 - 11*h - 1. Let i(p) = 5*o(p) + 3*u(p). Let k = -5 - 0. What is the units digit of i(k)? 2 Let b(r) = -r - 4. Let l(p) = 2*p + 8. Let w(y) = 11*b(y) + 6*l(y). What is the units digit of w(0)? 4 Let x(o) = o**3 - 6*o**2 + 6*o - 3. What is the tens digit of x(6)? 3 Suppose -26 = -s + 7. What is the tens digit of s? 3 Let c(k
{ "pile_set_name": "DM Mathematics" }
= 99 - 74. Solve i - 6*i + j = 0 for i. 5 Let p(w) = w**3 + w**2 + 23. Let s be p(0). Suppose -3*f + 13 = -s. Solve -4*t + 4 = f for t. -2 Let s(i) = -5*i**2 - 6*i + 1. Let y(q) = -9*q**2 - 12*q + 1. Let l(a) = 11*s(a) - 6*y(a). Let o = 11 - 6. Let d be l(o). Solve -4*t = -2*t + d for t. -5 Let w = 23 - 13. Suppose -w*p = -5*p. Let x = 3 + -1. Solve p*u - 2*u = -x for u. 1 Suppose 4*r - 4*v - 26 + 2 = 0, -2*v - 4 = 2*r. Let x be (1 - -2) + -5 + r. Suppose 0*a - u - 3 = a, -4*a - 5*u - 15 = x. Solve 3*o + o = a for o. 0 Let v(o) = -o**3 - 14*o**2 - 13*o + 4. Let k be v(-13). Solve -k = 3*p + 8 for p. -4 Let q = -11 - -15. Let k be ((-6)/4)/((-3)/q). Solve 0 = -h - k - 1 for h. -3 Suppose 8*f = 5*f + 9. Let k be (0 - 1)*f - -3. Suppose k = b + 1, 3*w - 2 = b + 8. Solve 6*g = w*g - 12 for g. -4 Let r be (-15 - -9)*(-2)/6. Suppose -2*a - 2 = 2*y, -y - 9 = -0*a - a. Solve -a = -4*n + r*n for n. 2 Suppose 5*z - 5*f - 2 = 3, 0 = 5*z - 3*f - 3. Suppose -3 + 13 = -r. Let m = -8 - r. Solve -d + m*d + 2 = z for d. -2 Suppose 0*w + 3*n = 3*w, -n = 2*w. Solve w = -4*f + 6 - 2 for f. 1 Let k(h) = -h**2 - 4*h + 7. Let v = -14 + 9. Let o be k(v). Suppose -2*l = -o - 2. Solve -2 - 4 = -l*j for j. 3 Let j = -3 - -8. Suppose 4*x = 2*s, x + 30 = -j*s - 4*x. Let z be s/10 - (-72)/30. Solve 0*c + z*c + 4 = 0 for c. -2 Let d(i) = -i**3 + 6*i**2 - 3*i - 7. Let c be d(5). Let a(u) = u**2 - 4. Let z be a(c). Let h be (8/(-12))/(1/(-6)). Solve -h = z*m + 21 for m. -5 Suppose 4*a - 18 = -h, -4*h + a = -21 - 17. Suppose -1 = -3*p + i, 5*i - 39 = -3*p - 8. Suppose -5*w = k + 3*k - 14, -4*k = -p*w. Solve 4*n = w*n + h for n. 5 Suppose q = -q + l - 9, -5*l = 5. Let o(r) be the first derivative of -r**3/3 - 3*r**2 + 2*r - 5. Let w be o(q). Solve 25 = -2*y + w*y for y. 5 Let g(b) = b**3 + 6*b**2 - 2*b - 8. Let k be g(-6). Suppose 4*r = 2*t + k, -3*t - 4 - 1 = -5*r. Solve 0 = p - r for p. 1 Suppose 5*n - 36 = -7*i + 3*i, 4*i - n - 36 = 0. Solve -i*r = -12*r + 3 for r. 1 Let u be 0/(1 - 4) - -3. Let b(n) = n**2 + 6*n + 6. Let c be b(-5). Solve u*q = -4 + c for q. -1 Suppose 4*b - 4 = 4. Solve -4*f = -2*f - b for f. 1 Let j be 0 + 11 - (-1 + 2). Suppose -5*s - 8*w + 4*w + j = 0, 3*s + 5*w - 6 = 0. Suppose 41 = 5*h - 4*d, 0 = -5*h - d - 3*d + 49. Solve u = -s*u + h for u. 3 Suppose -i = i - 8. Solve 2*c = 3*c - i for c. 4 Let v be ((-8)/20)/((-2)/20). Let g be (18/v)/((-9)/(-12)). Suppose -4*c - 2 = -g*c. Solve 2 = p - c for p. 3 Let v = 2 - 2. Suppose v = 5*o - 9 - 1. Let w = -2 - -3. Solve -w + 7 = -o*s for s. -3 Let k(t) = -t + 3. Let d be k(0). Suppose -3*a + 6 = 3*b, -2*b + 4*a + 6 = 14. Let g(z) = -z. Let f be g(b). Solve 3*s + f*s = d for s. 1 Let w be 1/3 + (-10)/(-6). Suppose -w*r = 2*r - 16. Solve -16 = -0*h - r*h for h. 4 Let f be 30/(-9)*(-9)/6. Suppose -g = f + 3. Let n = g - -13. Solve -n*s + 1 = 6 for s. -1 Let v(p) = 39*p**2 + 6*p - 11. Let r(b) = -8*b**2 - b + 2. Let f(o) = -11*r(o) - 2*v(o). Let u be f(1). Solve -w - u = 2*w for w. -3 Let l(q) = q**2 + 8*q + 5. Let m be l(-8). Suppose -29 - 1 = -m*t. Suppose -4*g + t*g - 2 = 0. Solve 2 + g = -y for y. -3 Suppose 3*h + 20 = -5*z - 5, 2*h - 10 = 2*z. Let m be (-24)/(-3) - (0 + -1). Solve 5*v - 11 - m = h for v. 4 Suppose -13 = -5*j + 7. Let t(s) be the third derivative of s**5/60 - s**4/6 + s**3/2 + s**2. Let x be t(j). Solve 6 = x*c - c for c. 3 Let p(k) = k**3 + 5*k**2 + k + 7. Let v be p(-5). Solve v*a + a = 0 for a. 0 Let a be (4/8)/(2/20). Let g(m) = -3*m**2 + 5 - m**2 + a*m**2 + 5*m. Let t be g(-4). Solve 3*o - 4*o = t for o. -1 Suppose -n - 2*n + 2 = 4*m, -n = -m - 3. Let k = 8 + m. Solve 0 = 2*i - k - 3 for i. 5 Let j = 16 + -8. Let k be 4/(-10) - 4/(-10). Solve k*y + 4*y = -j for y. -2 Suppose -5 = 4*x - 17. Solve x*y - 2 = 1 for y. 1 Suppose 2*l = -r + 7, -4*l + 7 + 8 = r. Let p be (20/12)/((-2)/12). Let n be (-24)/p - (-6)/(-15). Solve 2*g = -n - l for g. -3 Let z(t) = -t**2 - 11*t + 2. Suppose -h + i = 10, 2*h + 2*i + 24 = -0*h. Let j be z(h). Let l(g) = -g**2 - g. Let w be l(-1). Solve w*q - j*q + 2 = 0 for q. 1 Suppose 9 = 3*g - 0. Suppose g*a = -0 + 6. Solve -5*z = -a*z for z. 0 Let x(s) = -s + 1. Let a(h) = 2*h**2 - 5*h + 2. Let j be a(3). Suppose j*c = -4*p - 27, 0*p - 3*p + 6 = -5*c. Let u be x(c). Solve u*i = i for i. 0 Let y(a) = a + 4. Let h be y(-2). Suppose -h*o = -5*o + 18. Solve -o = 3*g + 9 for g. -5 Let q(j) = 4*j - 4. Let a be q(1). Solve 2*s - s + 1 = a for s. -1 Suppose n = -3*m + 1, 4*m + n = -n - 2. Solve -2 = -m*b + 2 for b. 2 Suppose -a + 0*a + 5 = 0. Let c = a + 1. Suppose c*x = 3*x - 5*g, -2*g = -5*x. Solve x = s + s for s. 0 Suppose 2*n = 4 + 4. Solve 0 + n = c for c. 4 Let c(l) = -l**2 + 6*l + 2. Let d be c(6). Suppose -d*s = y + 4 - 3, -y + 5 = -s. Solve y*r + 5 = 14 for r. 3 Suppose c + 3*r - 11 = 0, 0*c + c - 4*r = -10. Suppose -1 = 3*f - 2*f - 3*h, 5*h = -c*f + 9. Solve f*p - 3 = -5 for p. -1 Suppose -2*k - 2*n + 42 = 0, 0 = -7*k + 3*k - 5*n + 85. Solve -3*f = f - k for f. 5 Suppose 5*w + 6 = 21. Solve 0 = 2*r + 7 + w for r. -5 Let x = 6 - 5. Let u(l) = 4*l + 1 - 1. Let k be u(x). Solve -k = p + p for p. -2 Let m(z) = 6 + 2 - 3*z - 2 + z**2 + 8*z. Let y be m(-4). Solve -3*i = y*i + 15 for i. -3 Let j(i) = i + 7. Let n be j(-7). Solve n = -0*x + x - 1 for x. 1 Suppose 2*c + 272 = -2*c. Suppose -4*w = -6*p + 3*p - 128, 160 = -3*p - 4*w. Let b = p - c. Solve 0*o + 4*o - b = 0 for o. 5 Let z(q) = q**2 + 9*q + 5. Let w be z(-9). Solve w*n = 3*n + 8 for n. 4 Let q(j) = -j + 2. Let m be q(0). Solve g = -g + m for g. 1 Let j(y) = -7*y**2 + 4*y**2 - 4*y + 4*y**2 + 0*y**2 - 4. Let g be j(6). Solve -3*d = -d + g for d. -4 Suppose 9*m = 14*m - 25. Solve 3*k - 2*k = -m for k. -5 Let l = 11 - 17. Let d be (-3)/l - 133/2. Let v = -46 - d. Solve -5*f - v = -0*f for f. -4 Suppose 4*q - 5*m - 47 = 0, -3*q + 43 - 6 = -2*m. Suppose 3*b = q - 1. Solve 0 = -0*u + b*u + 4 for u. -1 Suppose 4*i = -t + 13, -2*t + 7 = -3*i + 3. Solve r - 9 = -i*r for r. 3 Suppose -4*y - 3*x + 14 = 0, -2*y - 5*x + 5 = y. Suppose -y*j + 25 = -3*t, -j + 5 = t - 4*t. Solve -6*v + v + 25 = t for v. 5 Suppose 2*x + 32 = 4*x. Let j = x + -10. Solve 3*i = 5*i + j for i. -3 Let u(n) = -n**2 - 9*n - 2. Let w be u(-8). Suppose s = 3*b + 21, 2*s - 25 = -3*s - 5*b. Solve 3*p + s + w = 0 for p. -5 Let a(v) = 2*v**3 + v**2 - v + 1. Let u be a(1). Suppose -w = 2*k + 2, 0 = 5*k - u*k + 8. Solve 0*x = -2*x + w for x. 3 Suppose r - 2 = 2. Let x be (-2 + 4)*(2 - 1). Suppose d + 3*d = 3*l + 24, 0 = -r*d - x*l + 4. Solve d*o - 15 = -0 for o. 5 Suppose -2*c + c = 0. Let w = c + 0. Solve -x = -w + 3 for x. -3 Suppose 0 = -27*w + 22*w. Solve w = 3*h - 2*h for h. 0 Suppose 2*d = 4*p + 2 + 4, -2*p = -2. Solve d - 4 = u for u. 1 Suppose -3*m = -4*m. Suppose m = -3*q + 7*q - 8. Solve q*z = -0 + 2 for z. 1 Suppose -3*y - 2*k - 2 = -0*k, -2*y = 2*k + 4. Solve -5 = y*r + 1 for r. -3 Let x be 300/80 - (-1)/4. Solve -3*g + 4 = -x*g for g. -4 Let o be 4/(2 + (4 - 4)). Solve 2 = -4*x - o for x. -1 Let i = 9 + -4. Let n be (-2)/5*-5*2. Solve -14 = i*q - n for q. -2 Let h(o) = 5*o - 10. Let y be h(7). Suppose 0*x - y = -5*x. Solve x = 2*m + 3 for m. 1 Let u(b) = -b**3 - b. Let c be u(0). Let m = -10 + c. Let x be (-14)/(-4) - (-5)/m. Solve -1 + x = -2*f for f. -1 Suppose 7 = -b - 4*n - 2, -2*b - 3*n = 3. Suppose 0 = j - 0*j - b. Solve 16 = -j*h + 7*h for h. 4 Suppose 4 = 7*q - 5*q. Let t be (-1 + 1)/(q/2). Solve 0*l - 4*l + 20 = t for l. 5 Let p(f) = -5*f - 5. Let t be p(-5). Suppose 5*u - 76 = q + 3*q, t = -5*q. Solve h + u = 4*h for h. 4 Suppose -4*x + 4 = -4. Suppose 0 = 2*m + x*m - 40. Solve b + b = m for b. 5 Let p(g) = 2*g**2 - g - 2. Let f be p(3). Suppose 0 = -3*a - 1 + f. Let r(z) = -z**3 - 3*z**2 + 4*z + 2. Let j be r(-4). Solve -j = a*s + 2 for s. -1 Let j(h) = -9*h + 31. Let r(i) = 4*i - 15. Let k(a) = -3*j(a) - 7*r(a). Let w = 35 - 23. Let b be k(w). Solve t + t - 2 = b for t. 1 Let s = -4 + 5. Let t be (-1)/(s - (0 + 2)). Solve -4*j - t - 3 = 0 for j. -1 Suppose 3*p = 5*m, -2*p - 5*m + 30 = 5. Suppose -3*l = 2*a, -2*l = p*a - 3 - 8. Let t be 9 - (l + 1 - 2). Solve -t + 0 = -4*f for f. 3 Suppose 63 = 3*p + 3*d - 0*d, d = -4*p + 81. Let s be (3/2)/(3/20). Let i = 16 - s. Solve j = i*j + p for j. -4 Let k = -34 + 59. Let f(q) = q + 8. Le
{ "pile_set_name": "DM Mathematics" }
3 a factor of x? False Let s(v) = v + 10. Let c be 1*6 + 0 - 1. Let u(i) = 2*i + 21. Let o(j) = c*s(j) - 2*u(j). Does 8 divide o(0)? True Suppose -5 = -0*l + l. Let o = l + 13. Is 8 a factor of o? True Let s be (-860)/(-18) - 2/(-9). Suppose 0 = -3*n + n + s. Is 12 a factor of n? True Suppose 4*z + 5 = 17. Suppose -z*o + 122 + 76 = 0. Does 20 divide o? False Let l be ((-40)/(-25))/((-2)/(-35)). Let j = 3 + l. Is 12 a factor of j? False Let x be (-876)/16 - 1/4. Let o = x - -118. Does 21 divide o? True Suppose -5*z + 0 = -45. Is 3 a factor of z? True Suppose 3*v = 4*v - 72. Suppose -5*b = x + 30, 5*x - 3*b + 154 = -24. Let a = x + v. Is a a multiple of 13? False Suppose x + 4 = 9. Suppose 5 = -l + 2, x*a - 147 = 4*l. Is a a multiple of 9? True Is (-6)/(-4)*2 + 27 a multiple of 9? False Let o(h) = h**3 + 20*h**2 + 15*h + 21. Does 35 divide o(-19)? False Let f = 482 + -242. Suppose -3*z = -5*r + f, -z - 3*z - 96 = -2*r. Does 16 divide r? True Suppose x = 3*n - 2, -4*x - 3*n + 5*n + 32 = 0. Let w = 2 + 0. Suppose w*j + x = 3*j. Does 5 divide j? True Suppose 0 = -5*k - 35 - 5. Let b = 4 - k. Does 12 divide b? True Suppose g + 18 = 2*g. Is (g/4)/((-5)/(-50)) a multiple of 20? False Let j be (0 - 2/2) + 3. Suppose 0*m - 4*m + j*r - 12 = 0, 3*m = -2*r - 2. Is m*1/(-6)*33 a multiple of 11? True Suppose -2*t + 123 = t. Suppose -9 = -3*p, 0*p = -4*v + p + t. Is 2 a factor of v? False Let o = 77 - 2. Does 28 divide o? False Let x(n) = -n**3 + 9*n**2 - 3*n - 4. Is x(8) a multiple of 15? False Let x = -76 - -116. Is 18 a factor of x? False Let w be 532/(-6) - 10/(-15). Suppose b = -0*b - s + 6, 2*s = 3*b - 18. Does 7 divide b/(-4)*w/12? False Suppose -4*u + 99 = d, 0 = 4*u - 5 - 7. Let i(t) = 8*t - 3. Let f be i(-7). Let j = f + d. Does 14 divide j? True Suppose 3*k - 82 = -2*v + k, -v + 38 = 4*k. Suppose -4*g - v = 46. Let b = g + 32. Is 5 a factor of b? True Let h(r) = r**3 - 8*r**2 + 6*r + 10. Let f be h(7). Suppose 0 = -f*m - 5*s + 55, 2*m - s - 17 = 37. Is 13 a factor of m? False Let v = 17 + 16. Does 11 divide v? True Suppose -3*i = -f + 31, 0 = 2*f - 3*i + 7*i - 32. Suppose 4*v = f + 2. Does 5 divide v? False Let x(y) = 2*y**2 + 1. Suppose v = 3*v + 2. Let p be x(v). Suppose p*h = -3*l + 51, h + 5*l = 26 + 11. Does 4 divide h? True Let k(l) = 5*l**3 + l**2 + l - 1. Let q be k(-2). Let g = q - -92. Is 15 a factor of g? False Let v = 526 + -320. Let b = v - 122. Suppose 3*k - k - o - 68 = 0, -3*k - 3*o = -b. Does 16 divide k? True Let b = -76 - -137. Is 13 a factor of b? False Suppose -53 = -o + g, 88 = -5*o + 3*g + 343. Does 18 divide o? False Let u(w) = w**2 - 1. Let q be u(-3). Let y be ((-12)/q)/(6/(-8)). Suppose -y*r + 63 = r. Is 8 a factor of r? False Let f(j) = 3*j - 17. Does 7 divide f(12)? False Suppose 0 = -0*x - 3*x + 6. Suppose x*u - u - 37 = 0. Does 14 divide u? False Is (7 - 4) + (0 - -8) a multiple of 11? True Let l = 73 - 52. Is l a multiple of 21? True Suppose k = 4 + 1. Let n = k - 1. Is n a multiple of 2? True Let a be -2 - (5 + -2)*-1. Let s be a*6 + -1 + 0. Suppose -43 = -s*c + 32. Does 7 divide c? False Let k = 187 + -115. Suppose 0*q - 5*q - 3*u + k = 0, -4*q + 64 = 4*u. Does 12 divide q? True Let i(r) = -3*r + 59*r**2 - 10 - 58*r**2 + 10*r. Is 5 a factor of i(-9)? False Suppose 64 = -4*x + i, -x - 2*i - 48 = 2*x. Is (4/1)/(x/(-24)) even? True Suppose -2*j - j = -207. Does 14 divide j? False Let l(f) = f**2 + 5*f - 3. Let j be l(-6). Let x be 2 + (5 - (-3)/j). Suppose -x*o + 4*o = -120. Is o a multiple of 15? True Suppose -2*d - 101 = x - 351, -x + 256 = -4*d. Is x a multiple of 28? True Let i be ((-2)/3)/((-6)/(-9)). Is (0 - -1)*i*-6 a multiple of 3? True Let z = 23 + -11. Does 6 divide z? True Let w be ((-1)/3)/((-11)/165). Suppose -k - 5*l = -21, w*k = -0*l + 4*l + 18. Does 4 divide k? False Is 8 a factor of 8/(-6) - (-674)/6? False Let m = 4 + -2. Let k be m - 1 - -2*1. Let j = k - -6. Is 9 a factor of j? True Let h = 57 + 42. Does 20 divide h? False Let j be (-11)/((-22)/312) - 1. Let w = j - 84. Does 19 divide w? False Let d = -14 - -141. Suppose -2*q - 43 = -d. Is q a multiple of 14? True Let c(i) = i**2 + 4*i + 1. Let y be c(3). Suppose 52 = 2*z - y. Does 13 divide z? False Suppose -4*x + 3*d - 19 = 0, 0 + 24 = -4*x + 4*d. Let h(f) = -20*f**3 + f**2 - 1. Let j be h(x). Suppose 4*k + 4 - j = 0. Is k a multiple of 2? True Let c = -97 - -167. Is 10 a factor of c? True Suppose 4*b + 292 = 8*n - 5*n, -4*n = 3*b - 381. Is 19 a factor of n? False Suppose 0 = w - 12 - 43. Suppose b = 6*b - w. Does 4 divide b? False Suppose 7*p = 4*p + 6. Is ((-42)/(-35))/(p/10) a multiple of 3? True Suppose j + 2 = -6. Let q(s) be the first derivative of -s**4/4 - 7*s**3/3 + 3*s**2/2 + 5*s - 2. Does 15 divide q(j)? True Let z be (-9)/2*4/(-6). Let t(o) = o**3 - 10*o**2 + o - 6. Let v be t(10). Suppose v*x - 20 = 0, 0*c - z*x + 63 = 4*c. Does 6 divide c? True Let v(c) = 5*c - 2. Does 23 divide v(5)? True Is 27 a factor of (-2 + -4 - -223) + -1*1? True Let n(d) = d**2 - 10*d + 2. Does 11 divide n(11)? False Let k(z) = 11*z + 6. Is 21 a factor of k(6)? False Suppose 0 = -4*n - 0*n + f + 33, -5*n - 5*f + 10 = 0. Let v = 11 - n. Suppose -5*j + 3*j = v*d - 30, d + 5*j - 21 = 0. Is 5 a factor of d? False Let n be 3 - -3*(1 + 5). Suppose 0 = 3*z + 5*i - 47, 0*z - z + i = -n. Is z a multiple of 19? True Suppose 4*b - 6 = b. Suppose 4*h - 2*c - 2*c = 4, -20 = -b*h - 4*c. Suppose -3*u = 2*u + h*i - 104, 1 = i. Is u a multiple of 10? True Let a(n) = -n**3 - 21*n**2 - 2*n - 1. Is a(-21) a multiple of 13? False Let p(s) be the first derivative of s**4/4 - 10*s**3/3 + 11*s**2/2 - 4*s + 1. Is 6 a factor of p(9)? False Let t = 133 + -117. Is t a multiple of 3? False Let s(o) = 6*o**2 - o + 4. Let u be s(4). Let i be (1 - 1) + u/1. Suppose -3*d - d + i = 0. Is 13 a factor of d? False Suppose -2*i = -5*i - h + 46, 2*h - 78 = -5*i. Does 12 divide i? False Suppose 4*r = 5*z - 290 - 91, -3 = -3*r. Is 11 a factor of z? True Let z(v) be the second derivative of v**7/315 - v**6/240 - v**5/120 - v**4/6 + v. Let j(w) be the third derivative of z(w). Is j(-2) a multiple of 16? False Suppose -4*b - a + 6*a = -204, -2*b + a + 96 = 0. Is 23 a factor of b? True Suppose 0 = -4*t - 2*f + 28, 58 = 5*t - f + 9. Is 3 a factor of t? True Let s = 15 - 7. Let f(j) = 2*j - 7. Is 6 a factor of f(s)? False Let p be ((-11)/(-3))/(-1)*-3. Let x = p - 7. Suppose v - x*v = -48. Is v a multiple of 7? False Let y(t) = -t - t**2 + 0 + 8 + 15*t. Is 16 a factor of y(10)? True Let z(u) = u**3 - 4*u**2 - 7*u + 9. Is 18 a factor of z(6)? False Suppose 2*z - z = -y + 148, z + 2*y = 152. Is 24 a factor of z? True Suppose -4*n + 9 - 1 = 0. Let w(t) = 0*t**3 + 0*t**3 - 2 + 3*t**3 - t - 2*t**2. Is 12 a factor of w(n)? True Suppose -10*u = -9*u - 75. Is 25 a factor of u? True Is ((-130)/15)/((-2)/30) a multiple of 24? False Suppose 0 = 3*i + 2*p - 603, -i - 3*p = -212 + 11. Suppose 0*o - 3*o + i = 0. Is o a multiple of 14? False Suppose 0 = 6*b - 9*b + 5*n + 647, -3*n = b - 225. Is 10 a factor of b? False Suppose 0 = -3*r + r + 90. Does 4 divide r? False Suppose 5*p - 1172 = -r, 10*p - 5*r - 1160 = 5*p. Is p a multiple of 30? False Suppose -4*b + 184 + 120 = 0. Suppose 3*c - b = 2*d, 4*c = 2*c + 5*d + 58. Is 12 a factor of c? True Suppose 3*y - 2*x - 12 - 11 = 0, -x = -2*y + 14. Suppose 0 = -j + 2, 4*p - 22 = -y*j + 8. Let c(l) = 8*l. Does 17 divide c(p)? False Suppose -5*s + 4*t = -92, 2*t = s - 2*t - 12. Is s a multiple of 10? True Let w be 1 + 2 + -1 - 10. Is ((-12)/w)/((-6)/(-56)) a multiple of 14? True Let s(j) = 9*j**3 - 12*j - 11. Let c(z) = -z**3 + z + 1. Let o(b) = 22*c(b) + 2*s(b). Does 12 divide o(-2)? True Suppose 3*r + 152 = 7*r. Is r a multiple of 27? False Let r(x) = -x**3 - x**2 + 3*x. Suppose 3*h + 13 = 4. Is 3 a factor of r(h)? True Let q(c) = -10*c - 2. Suppose 3*u + 20 = -5*t, 5*t + 4*u + 20 = 3*u. Does 15 divide q(t)? False Let s(u) = -u + 36. Does 4 divide s(-7)? False Let h = 11 + -7. Suppose 2 = 4*q + g - 3, -3*q - 4*g = -20. Suppose -3*k - 2*w + 22 = q, -24 = 5*w - h. Does 8 divide k? False Let c = 7 + 11. Let b = c + 4. Is 11 a factor of b? True Let u(i) = -3*i - 8. Let f be u(-12). Suppose -n = -q + f, q + 3*n + 6 = 26. Is q a multiple of 13? True Let j be (-1 - 1) + -3*26.
{ "pile_set_name": "DM Mathematics" }
)/(y**(2/3))**3) assuming y is positive. y**(-34/33) Simplify (a**(-2/7))**(-13)*((a/(a/a**(-6)))/a)/a**(-5)*((a**(-2/17)*a)/a**(6/7))**(17/7) assuming a is positive. a**(87/49) Simplify ((t*t**(1/8))/t**(-3/8))/(((t*t*t**(3/4))/t)/((t/t**(-1/3))/t))*((((t**(-1)/t)/t*t)/t)**(-8/9))**(2/31) assuming t is positive. t**(95/372) Simplify ((s*s*(s**(1/2)*s)/s)/(s*s*s**(-6)*s))**(-20/3)/((s*s**(-6/5)*(s*s/((s/((s**(3/8)/s)/s)*s)/s))/s)/(s**(-1/9)/s*s**(-3)*s)) assuming s is positive. s**(-13663/360) Simplify (l/(l**(-34)/l)*l**(-28/3))/(l**(6/13)*l**(3/19)) assuming l is positive. l**(19301/741) Simplify (l**0)**22/(l**(1/4))**38*(l*l**(2/3))**24/(l/(l*(l*(l**(-1/2)/l)/l)/l*l))**(2/13) assuming l is positive. l**(787/26) Simplify (f**(2/51)*f*f**9*(f**(-1))**(-3/17))**(-31) assuming f is positive. f**(-16151/51) Simplify (t**11/(t/(t**(12/17)/t))*t**(2/63)/(t**3/t))**(-29) assuming t is positive. t**(-240323/1071) Simplify (x*(x*x**0)/x*x*x)**(-1/5)*x/(x*(x/x**2)/x)*x*x**(4/9)*(x*x**(2/7))**(-1/9)*(x*(x*(x**(-2)/x)/x)/x)**(2/63) assuming x is positive. x**(821/315) Simplify (m/(m/(m*m**(-6)))*m**2/m)/(m**(-1/2)*(m**(-1/7)/m)/m)*(m**(2/15)/(m*m**(2/7)))**34 assuming m is positive. m**(-8513/210) Simplify ((d/d**(-1/5))**(-33))**(-27)*((d*d**(-8)/d)/d**(2/13))**(-9) assuming d is positive. d**(74268/65) Simplify z**(-2/15)/(z/(((z/((z**(-2/11)*z)/z))/z)/z))*z**(-6/35)/z**(2/93) assuming z is positive. z**(-25594/11935) Simplify (m*m*m*m**2*m*m*m*m**(-4/3))/(m*m**0)**(-1/5)*(((m**(-1)*m)/m)/m*m)**16*(m*(m**6/m)/m)/(m*m**(1/6)) assuming m is positive. m**(-53/10) Simplify ((d**11*(d*d**(-23))/d*d)/((d/(d/(d*d**(-5/6)*d)*d)*d)/d)**(-12))**20 assuming d is positive. d**(-180) Simplify (((z/z**(2/3)*z)**13*(z*z*z**(2/3))**(2/19))**(29/3))**(1/3) assuming z is positive. z**(29116/513) Simplify ((n**(-2/5))**4)**18*n*(n**1*n)/n*n*n/(n**(-7)*n)*n**(-6/11)/n**(-1/11) assuming n is positive. n**(-1059/55) Simplify ((f*f/(f*(f*((f*f**6)/f)/f)/f))/f*f**14*((f*f/(f**6/f))/f)**(-2/81))**5 assuming f is positive. f**(3685/81) Simplify ((r*(r*r*(r*r**(-6))/r)/r*(r*r**(2/15)*r)/r)/(r**0)**47)/((r*r**(-3)*r**(-1/6))/(r**(-5)/(r**(-3)*r))) assuming r is positive. r**(-37/10) Simplify ((p**(-10/3))**6*p**30*p*p**23/p)**(-26) assuming p is positive. p**(-858) Simplify (y**(5/2)*y*y*(y*y**(-38)*y*y*y*y)/y)/(((y*y*y**(-1/9)*y*y)/y)/y)**26 assuming y is positive. y**(-1415/18) Simplify (((h*h**(2/5)*h)/h**(-6))/(h**(-3/2))**(-10/9))**(1/30) assuming h is positive. h**(101/450) Simplify (o*o**(5/2)*o*o*o/o**(4/3)*o*o)/(o**(-4/7)/(o/(o/(o**(3/5)/o))))*(o**(-2/3)/((o/(o/(o**(-7)*o*o)))/o))/(o**1)**(-24/11) assuming o is positive. o**(11437/770) Simplify (t**(-1/3)/t*t/(t/((t/(t**3/t))/t)))/(t**3*t**6)*(((t*t**(-1/2)*t*t)/t*t)/t**5)/(t/(t*t*t/(t**(2/5)*t)))**30 assuming t is positive. t**(19/6) Simplify ((f**(-2/5)/f**(-1/5))/(f**(-2)/f*f**(2/5)))/(((f**(-2)*f)/f)**(-42))**19 assuming f is positive. f**(-7968/5) Simplify ((n*n**(-1))**(-3)*(n**(-1)/n)**(-46))/((n/(n*n**1*n))**(26/7)*n**3*n*n**(-2/7)) assuming n is positive. n**(670/7) Simplify (o**5/o**(-1))/((o/(((o/(o**2*o))/o)/o)*o)/o**(-2/7))*(o**(-4)/o*o**(1/3))/(o/(o/o**(2/3))*o*o**(2/3)/o) assuming o is positive. o**(-44/7) Simplify (l/l**(-1))**45*(l/(l*l**(-5)))/(l/l**(1/4)*l)*(l/(l**0/l))**(-10/9)*l*l**(-3)*l*l*l**(-6) assuming l is positive. l**(3061/36) Simplify (s*s/s**(-2/15)*s*s**(3/4))**35/((s*s/s**0*s)**(2/13)*(s**(-1)*s*s)**(5/2)) assuming s is positive. s**(20741/156) Simplify ((k/k**(1/4))**24)**(-4/3)/((k**4/(k*(k*k/(k/(k**1*k)))/k))/(k**3*k*k*k**(-1/4)*k)) assuming k is positive. k**(-77/4) Simplify ((q/(((q**0/q)/q*q)/q))**(-14))**(-40)*(q*q*q**(-2/15)*q*q/(q**4/q)*q)/(((q**(2/5)/q)/q)/(q*q*(q*q**(-1/4))/q)) assuming q is positive. q**(101113/60) Simplify (m**4*m*m**(3/4)*m**(-5)*m*m**(-2/17))/(((m*m**0)/m)**31/((m**(-2/11)/m)/m**5)) assuming m is positive. m**(-3403/748) Simplify (k/(k**(-15/11)/k)*k*k)/(k*k*k/(k/k**18)*k*k)*(k**(-29))**(-2/61) assuming k is positive. k**(-10525/671) Simplify p**(-2/73)/(p**(-24)*p)*(p**(-1/17))**(-7/9) assuming p is positive. p**(257092/11169) Simplify ((v**17/v**(-7))/(v**(-3))**(-15))**(-9) assuming v is positive. v**189 Simplify (y/(y/((y*y*y*y/(y*y**(2/9)))/y)))**32/(y/(y/((y/y**2)/y*y*y))*(y/(y/(y/y**0*y)))/y)*(((y*y*y**3)/y)/(y/y**(1/6)))**(-40) assuming y is positive. y**(-637/9) Simplify (j*j*j**(2/5)*j*j**(1/11))/(j**(-2/3))**(-3/8)*(j/j**(-1/2))**17/(j**1)**(4/5) assuming j is positive. j**(6147/220) Simplify ((d**(-11))**(-27)/((d**(2/5)*d)/d*d/(d*d/(d**(2/5)/d)*d*d)))**(-27) assuming d is positive. d**(-40527/5) Simplify (q**(-1/31)/(q/(q*(q/q**25)/q*q*q)))/(q**(2/49))**(1/8) assuming q is positive. q**(-139975/6076) Simplify (z*z**(2/9))**24*(z/z**4*z)/(z/((z**(4/5)*z)/z))*((z**5*z)/((z*z/(z*z/z**(1/2)*z))/z))/(z*z**(-1/3)/z*((z/z**(-1))/z*z)/z) assuming z is positive. z**(1019/30) Simplify n**7/n**2*(n**(1/2))**21*(n**(1/14)*n/(n**(6/5)/n*n))/(n**0/n)**(7/3) assuming n is positive. n**(1859/105) Simplify ((i*i*i/(i*i**(-11/5))*i)/(i*i**31))/(i**(-2/55)*i*(i*i**(1/11))/i) assuming i is positive. i**(-1532/55) Simplify ((j**2*j**(-10/9))/(j**9)**(-42))**0 assuming j is positive. 1 Simplify (v**(3/4)*v/v**(1/5)*v*(v/(v*v**(-4/3)))/v**(1/26))**(-48) assuming v is positive. v**(-11996/65) Simplify (r**(2/11)*(r**4/r)/r)/(r*r**5*r*r**(2/19))*((r/(r/r**3))/(r/r**(3/4)))**(-19) assuming r is positive. r**(-47797/836) Simplify (i*i**(-6)*i)/i**(-7)*i**(-8)*i/i**(2/11)*(i**(-3/7)/i)/i**(-4/3)*(i**(-1/2)*i)**(-17) assuming i is positive. i**(-5903/462) Simplify (((q/q**(2/3))/q)**(-42))**(-25)/(((q*(q*q**(1/3))/q)/q)/(q*q*q*q*(q*q**(-8)/q*q)/q*q*q))**(4/15) assuming q is positive. q**(-31528/45) Simplify (u*u**(3/7))/u**(-2/131)*(u/(u*u**(-30))*u)/(u*u**(-19)) assuming u is positive. u**(46257/917) Simplify ((m/(m**2*m))/m**8)**(-1/6)*(m**(-1))**(-40/3)/(m**(2/7))**(-47) assuming m is positive. m**(199/7) Simplify j/(j*j*j**(-1/19))*j**(4/3)/j*j**(-22/5)*j**(-1/33) assuming j is positive. j**(-15814/3135) Simplify (q**(1/2)/q)**(-42)*(q/q**(-1/3)*q*q)**(-2/9)*(q*q**(-8/3)*q**7/q)**(-3/7) assuming q is positive. q**(3478/189) Simplify (p**(-8/5)*p**(2/3))**(-42)*(p**(-1/2))**(-6/7)/((p**(-4)/p*p)/(p/(p*p**(-2/7)*p)*p)) assuming p is positive. p**(1537/35) Simplify ((m**(-12))**(2/73)*m**(-32)*m**(-32))**(-2/109) assuming m is positive. m**(9392/7957) Simplify ((n/((n*n/n**(-1/4))/n))/n*(n*n**(-1/2)*n)/n)**(-20)/((n/n**(1/2))**(3/35)*(n**0)**(2/17)) assuming n is positive. n**(1047/70) Simplify j**(-3/8)*j**(-2/25)*j/(j*j**6*j)*j*j/((j**(-46)*j)/j*j) assuming j is positive. j**(7909/200) Simplify ((r*r**1)/r*r)**(-27/2)*(r/r**0*r)/r**(1/2)*((r**(-5)/r)/(r/(r/(r*r*r/r**3*r))))/(r**5/r*r*r*r*r**0) assuming r is positive. r**(-79/2) Simplify (y/(y/(y*y**(-4)))*y/(y/(((((y/(y*y**(-3/5)))/y)/y)/y)/y))*(y**1)**(2/15))/(y**(-1/4)/y**0*y**(-4)/(y*y**(2/17)*y)) assuming y is positive. y**(103/1020) Simplify ((n**(-2/29)*n**(-1/2))/((n/(n/(n**(-3/2)*n)))/n*n*(n/(n**(6/5)*n))/n))/((n**(-2/9)/n)**13*n**(-1)/n*n*n**(-8)) assuming n is positive. n**(35261/1305) Simplify ((u**1*u**(5/6))/(u**(2/7)*u*u*u**(1/12)))/((u/u**(-5))/(u/u**7))**(4/33) assuming u is positive. u**(-613/308) Simplify (((z*z**(1/5)*z*z)/(z*z**(3/4)))/(z**1)**(-45))/((z**(-3)*z**(-2))/(z**(-2/7))**(-46)) assuming z is positive. z**(9043/140) Simplify (q**(-12)*q**(1/2)*q*q)/((q/(q*q**(-40))*q*q)/(q/(q**(12/13)*q))) assuming q is positive. q**(-1363/26) Simplify ((k**(3/10)*k/(k**(1/6)*k))/(k/((k/k**(2/9))/k)*k)**27)**(2/5) assuming k is positive. k**(-1796/75) Simplify ((x**(8/7)/x**14)/(x**(2/15)/x*x**(-26)/x))**(-16) assuming x is positive. x**(-25216/105) Simplify ((w/w**(-3/4)*w*w/w**5)/(w**(-2/3)/w**(-8)))/((w**(-3))**(-29))**(5/3) assuming w is positive. w**(-1843/12) Simplify (((y*y**1*y)/((y**24*y)/y))/(y**3*y*y*y/y**(2/23)))**(3/41) assuming y is positive. y**(-1857/943) Simplify (t**(-2)/(t/(t/(t**6*t))))/(t**(-3/5)/t**(-7))*(t**(-2)*t**0*t)/(t*t*t**4*t*t**6) assuming t is positive. t**(-147/5) Simplify ((r**(-34)*r)**(-2/39)*r/(r*r**26*r*r)*r**25)**(-1/35) assuming r is positive. r**(17/455) Simplify ((u**(4/7)*u*u**(-2/3))/(u*u**(-3/7))**(-35))**(-5) assuming u is positive. u**(-2195/21) Simplify
{ "pile_set_name": "DM Mathematics" }
1818439, -1818451, -1818465? -r**2 - 5*r - 1818415 What is the w'th term of -131410, -264188, -396966, -529744, -662522, -795300? -132778*w + 1368 What is the z'th term of 146066, 291373, 436680, 581987, 727294? 145307*z + 759 What is the p'th term of -156833, -311202, -465571, -619940, -774309? -154369*p - 2464 What is the b'th term of 17955, 37632, 57343, 77106, 96939? 3*b**3 - b**2 + 19659*b - 1706 What is the i'th term of -1931253, -7724947, -17381103, -30899721, -48280801, -69524343, -94630347? -1931231*i**2 - i - 21 What is the h'th term of 10527726, 10527728, 10527730, 10527732, 10527734? 2*h + 10527724 What is the d'th term of -70213, -139604, -208995, -278386, -347777? -69391*d - 822 What is the c'th term of 6910484, 13820968, 20731462, 27641972, 34552504, 41463064? c**3 - c**2 + 6910480*c + 4 What is the r'th term of 10089378, 10089383, 10089388, 10089393, 10089398, 10089403? 5*r + 10089373 What is the f'th term of -50408, -202160, -455228, -809606, -1265288? f**3 - 50664*f**2 + 233*f + 22 What is the r'th term of -123623, -123625, -123621, -123611, -123595, -123573, -123545? 3*r**2 - 11*r - 123615 What is the d'th term of -7552750, -7552749, -7552748, -7552747, -7552746, -7552745? d - 7552751 What is the p'th term of 1318499, 5273972, 11866427, 21095864, 32962283? 1318491*p**2 + 8 What is the j'th term of 10860420, 10860423, 10860424, 10860423? -j**2 + 6*j + 10860415 What is the j'th term of 108741, 217473, 326185, 434871, 543525, 652141? -j**3 - 4*j**2 + 108751*j - 5 What is the j'th term of -127615, -123986, -120357? 3629*j - 131244 What is the q'th term of -58037042, -116074079, -174111112, -232148141, -290185166? 2*q**2 - 58037043*q - 1 What is the r'th term of -1352766, -10822250, -36525132, -86578110, -169097882? -1352783*r**3 - r**2 + 18 What is the j'th term of -5179, -4109, -2319, 197, 3445, 7431? j**3 + 354*j**2 + j - 5535 What is the f'th term of 374029483, 374029478, 374029473, 374029468, 374029463? -5*f + 374029488 What is the y'th term of -64, -506, -1372, -2662, -4376? -212*y**2 + 194*y - 46 What is the u'th term of 17321, 17866, 18765, 20012, 21601, 23526? -u**3 + 183*u**2 + 3*u + 17136 What is the u'th term of 210177, 420340, 630503, 840666, 1050829, 1260992? 210163*u + 14 What is the v'th term of 3324, 47033, 119882, 221871, 353000, 513269, 702678? 14570*v**2 - v - 11245 What is the x'th term of -16573365, -16573362, -16573359, -16573356, -16573353, -16573350? 3*x - 16573368 What is the b'th term of 5100, 9843, 14232, 18267, 21948, 25275, 28248? -177*b**2 + 5274*b + 3 What is the k'th term of -275853, -551708, -827563, -1103418? -275855*k + 2 What is the j'th term of 12155, 49634, 112099, 199550, 311987, 449410, 611819? 12493*j**2 - 338 What is the l'th term of 116735, 233401, 350067, 466733, 583399, 700065? 116666*l + 69 What is the c'th term of 1915, 8182, 18621, 33232, 52015, 74970, 102097? 2086*c**2 + 9*c - 180 What is the u'th term of 28212676, 28212670, 28212664, 28212658, 28212652? -6*u + 28212682 What is the j'th term of -24299, -23945, -23585, -23219, -22847, -22469, -22085? 3*j**2 + 345*j - 24647 What is the p'th term of 75549, 121907, 168265, 214623? 46358*p + 29191 What is the p'th term of -1755, -2624, -3485, -4338? 4*p**2 - 881*p - 878 What is the d'th term of 5151094, 5151147, 5151200, 5151253, 5151306, 5151359? 53*d + 5151041 What is the b'th term of 22147, 43804, 65461, 87118, 108775, 130432? 21657*b + 490 What is the w'th term of 11100, 10704, 9624, 7518, 4044, -1140? -57*w**3 + 3*w + 11154 What is the y'th term of 5848642, 5848603, 5848578, 5848573, 5848594, 5848647, 5848738? y**3 + y**2 - 49*y + 5848689 What is the u'th term of -7540, -60458, -204086, -483778, -944888, -1632770, -2592778? -7559*u**3 - u**2 - 2*u + 22 What is the p'th term of -1687368977, -1687368981, -1687368987, -1687368995, -1687369005? -p**2 - p - 1687368975 What is the h'th term of 12071, 13042, 14017, 14996, 15979, 16966? 2*h**2 + 965*h + 11104 What is the m'th term of 175248, 350777, 526306? 175529*m - 281 What is the w'th term of -3440, -4661, -5884, -7109? -w**2 - 1218*w - 2221 What is the x'th term of 34686967, 34686969, 34686971, 34686973, 34686975? 2*x + 34686965 What is the o'th term of 847710, 1695429, 2543148, 3390867, 4238586, 5086305? 847719*o - 9 What is the n'th term of 1263, 8698, 28891, 68226, 133087, 229858, 364923, 544666? 1064*n**3 - 5*n**2 + 2*n + 202 What is the a'th term of -4086780552, -4086780553, -4086780554, -4086780555, -4086780556, -4086780557? -a - 4086780551 What is the k'th term of -498, -1310, -2204, -3186, -4262, -5438? -k**3 - 35*k**2 - 700*k + 238 What is the d'th term of -200479751, -200479752, -200479753, -200479754? -d - 200479750 What is the w'th term of 6761732, 6761787, 6761842, 6761897? 55*w + 6761677 What is the r'th term of -358332, -716457, -1074592, -1432743, -1790916, -2149117? -r**3 + r**2 - 358121*r - 211 What is the c'th term of 1739375, 3478751, 5218127, 6957503, 8696879? 1739376*c - 1 What is the l'th term of -154502, -154484, -154440, -154358, -154226, -154032, -153764, -153410? 2*l**3 + l**2 + l - 154506 What is the s'th term of 719788, 719802, 719816, 719824, 719820, 719798? -s**3 + 6*s**2 + 3*s + 719780 What is the m'th term of -374058, -374172, -374286, -374400? -114*m - 373944 What is the v'th term of 378, 2622, 8482, 19692, 37986? 289*v**3 + 74*v**2 - v + 16 What is the y'th term of 153, 263, 423, 663, 1013? 5*y**3 - 5*y**2 + 90*y + 63 What is the w'th term of -7589, -15637, -24141, -33101, -42517, -52389, -62717? -228*w**2 - 7364*w + 3 What is the c'th term of -764188, -1528376, -2292564, -3056752, -3820940, -4585128? -764188*c What is the j'th term of -1451959, -5807826, -13067603, -23231290? -1451955*j**2 - 2*j - 2 What is the q'th term of -35096, -140908, -317404, -564584, -882448? -35342*q**2 + 214*q + 32 What is the a'th term of 3509, 4582, 6371, 8882, 12121, 16094? a**3 + 352*a**2 + 10*a + 3146 What is the d'th term of -11740, -47315, -106604, -189601, -296300, -426695? d**3 - 11863*d**2 + 7*d + 115 What is the y'th term of -45, -194, -449, -786, -1181, -1610, -2049? 4*y**3 - 77*y**2 + 54*y - 26 What is the j'th term of 171, 433, 815, 1317, 1939, 2681? 60*j**2 + 82*j + 29 What is the r'th term of 177294, 177468, 177758, 178164, 178686? 58*r**2 + 177236 What is the v'th term of -25482, -25485, -25512, -25575, -25686? -2*v**3 + 11*v - 25491 What is the u'th term of -4782, -19174, -43130, -76626, -119638, -172142? 4*u**3 - 4806*u**2 - 2*u + 22 What is the m'th term of 5027134, 10054119, 15081104, 20108089? 5026985*m + 149 What is the w'th term of -10608, -42294, -94824, -167970, -261504, -375198, -508824? 38*w**3 - 10650*w**2 - 2*w + 6 What is the n'th term of -14076, -27680, -40812, -53478, -65684, -77436, -88740? -n**3 + 242*n**2 - 14323*n + 6 What is the v'th term of -62564133, -125128267, -187692401, -250256535? -62564134*v + 1 What is the q'th term of -43562, -87468, -131374, -175280, -219186? -43906*q + 344 What is the h'th term of 108846, 108747, 108648, 108549? -99*h + 108945 What is the d'th term of -113, -291, -767, -1685, -3189, -5423? -24*d**3 - 5*d**2 + 5*d - 89 What is the v'th term of -73767, -147430, -220901, -294084, -366883, -439202, -510945? 16*v**3 - 73775*v - 8 What is the h'th term of 1555, 6776, 15421, 27484, 42959, 61840? -h**3 + 1718*h**2 + 74*h - 236 What is the z'th term of -74, -952, -3362, -8078, -15874? -129*z**3 + 8*z**2 + z + 46 What is the s'th term of -55421, -221667, -498741, -886643, -1385373, -1994931, -2715317? -55414*s**2 - 4*s - 3 What is the t'th term of 460560, 460714, 460870, 461028, 461188, 461350? t**2 + 151*t + 460408 What is the m'th term of 9909828, 9909826, 9909824? -2*m + 9909830 What is the t'th term of -1340, -10714, -36148, -85670, -167308? -1338*t**3 - 2*t**2 - 2*t + 2 What is the j'th term of 76873, 307456, 691761, 1229788, 1921537? 76861*j**2 + 12 What is the y'th term of -8593, -9087, -9581, -10075? -494*y - 8099 What is the j'th term of 5154, 5028, 4850, 4614, 4314, 3944, 3498? -j**3 - 20*j**2 - 59*j + 5234 What is the n'th term of 1037, 425, -1229, -4441, -9727, -17603, -28585? -86*n**3 - 5*n**2 + 5*n + 1123 What is the a'th term of 12997, 102749, 346363, 820771, 1602905, 2769697, 4398079? 12822*a**3
{ "pile_set_name": "DM Mathematics" }
is the h'th term of -726, -730, -738, -750, -766, -786, -810? -2*h**2 + 2*h - 726 What is the d'th term of -191, -411, -617, -803, -963? d**3 + d**2 - 230*d + 37 What is the q'th term of 3, 59, 151, 297, 515? 3*q**3 + 35*q - 35 What is the g'th term of 60, 217, 486, 873, 1384? g**3 + 50*g**2 + 9 What is the g'th term of -4549, -9101, -13653, -18205, -22757, -27309? -4552*g + 3 What is the z'th term of 61, 70, 89, 124, 181, 266? z**3 - z**2 + 5*z + 56 What is the q'th term of 2362, 2357, 2338, 2299, 2234, 2137? -q**3 - q**2 + 5*q + 2359 What is the g'th term of -184, -192, -200, -208? -8*g - 176 What is the i'th term of -8, 18, 60, 124, 216, 342, 508, 720? i**3 + 2*i**2 + 13*i - 24 What is the k'th term of 2843, 2847, 2851? 4*k + 2839 What is the p'th term of -144, -141, -138, -135? 3*p - 147 What is the y'th term of -133, -129, -125? 4*y - 137 What is the l'th term of -9765, -9764, -9763, -9762, -9761? l - 9766 What is the l'th term of -1361, -1353, -1345? 8*l - 1369 What is the a'th term of -164, -168, -176, -188, -204, -224, -248? -2*a**2 + 2*a - 164 What is the u'th term of 10710, 10708, 10706, 10704, 10702, 10700? -2*u + 10712 What is the y'th term of -33, -86, -175, -300, -461, -658, -891? -18*y**2 + y - 16 What is the n'th term of 12, -33, -164, -423, -852, -1493, -2388? -7*n**3 - n**2 + 7*n + 13 What is the y'th term of 74, 153, 234, 317? y**2 + 76*y - 3 What is the k'th term of -223, -430, -641, -856, -1075, -1298? -2*k**2 - 201*k - 20 What is the w'th term of 578, 584, 600, 632, 686, 768, 884? w**3 - w**2 + 2*w + 576 What is the u'th term of 63, 100, 137, 174? 37*u + 26 What is the f'th term of 43, 39, 33, 25, 15, 3? -f**2 - f + 45 What is the f'th term of -2110, -4218, -6326? -2108*f - 2 What is the x'th term of -65, -134, -203, -272? -69*x + 4 What is the z'th term of 88, 89, 90? z + 87 What is the m'th term of 145, 221, 311, 421, 557, 725, 931, 1181? m**3 + m**2 + 66*m + 77 What is the o'th term of -36, -65, -94, -123, -152, -181? -29*o - 7 What is the x'th term of -22, -163, -400, -733, -1162, -1687, -2308? -48*x**2 + 3*x + 23 What is the q'th term of -58, -50, -52, -70, -110, -178, -280, -422? -q**3 + q**2 + 12*q - 70 What is the i'th term of 167, 164, 161? -3*i + 170 What is the o'th term of 411, 808, 1193, 1560, 1903, 2216, 2493? -o**3 + 404*o + 8 What is the i'th term of 222, 233, 258, 303, 374, 477, 618, 803? i**3 + i**2 + i + 219 What is the v'th term of 241, 206, 171, 136? -35*v + 276 What is the u'th term of 21, 27, 31, 27, 9, -29, -93? -u**3 + 5*u**2 - 2*u + 19 What is the b'th term of -4, -14, -36, -76, -140, -234, -364, -536? -b**3 - 3*b What is the f'th term of 2, -2, -12, -28, -50, -78, -112? -3*f**2 + 5*f What is the m'th term of -37, -70, -107, -148? -2*m**2 - 27*m - 8 What is the p'th term of 232, 274, 316? 42*p + 190 What is the a'th term of -107, -101, -85, -53, 1, 83, 199? a**3 - a**2 + 2*a - 109 What is the u'th term of 70, 71, 72, 73, 74? u + 69 What is the p'th term of 153, 152, 151, 150, 149? -p + 154 What is the z'th term of 91, 104, 117, 130? 13*z + 78 What is the h'th term of -83, -90, -103, -122, -147, -178, -215? -3*h**2 + 2*h - 82 What is the l'th term of 510, 511, 512, 513? l + 509 What is the x'th term of 81, 214, 401, 642, 937, 1286, 1689? 27*x**2 + 52*x + 2 What is the k'th term of -26, -18, -4, 16, 42, 74, 112? 3*k**2 - k - 28 What is the j'th term of -36, -61, -78, -87, -88? 4*j**2 - 37*j - 3 What is the b'th term of 726, 725, 724, 723, 722? -b + 727 What is the k'th term of -40, -100, -206, -364, -580, -860, -1210, -1636? -k**3 - 17*k**2 - 2*k - 20 What is the r'th term of -31, -19, 17, 89, 209, 389? 2*r**3 - 2*r - 31 What is the l'th term of 12, 40, 82, 138, 208? 7*l**2 + 7*l - 2 What is the b'th term of -19, -24, -29, -34, -39, -44? -5*b - 14 What is the z'th term of 1511, 1504, 1493, 1478, 1459? -2*z**2 - z + 1514 What is the y'th term of 22, 107, 256, 475, 770? y**3 + 26*y**2 - 5 What is the r'th term of -3, -21, -49, -87? -5*r**2 - 3*r + 5 What is the j'th term of -40, -64, -76, -70, -40, 20? j**3 - 31*j - 10 What is the z'th term of 79, 215, 449, 787, 1235, 1799, 2485? z**3 + 43*z**2 + 35 What is the n'th term of -84, -73, -46, 3, 80, 191? n**3 + 2*n**2 - 2*n - 85 What is the b'th term of 65, -22, -119, -232, -367, -530? -b**3 + b**2 - 83*b + 148 What is the j'th term of 101, 187, 273, 359, 445, 531? 86*j + 15 What is the k'th term of 109, 231, 353, 475, 597? 122*k - 13 What is the z'th term of -75, -68, -61, -54, -47, -40? 7*z - 82 What is the u'th term of -901, -1801, -2699, -3595, -4489, -5381, -6271? u**2 - 903*u + 1 What is the q'th term of 4087, 8178, 12283, 16408, 20559, 24742? q**3 + q**2 + 4081*q + 4 What is the p'th term of 1431, 5707, 12825, 22779, 35563, 51171, 69597? -p**3 + 1427*p**2 + 2*p + 3 What is the c'th term of 66, 90, 114, 138, 162? 24*c + 42 What is the n'th term of 761, 1528, 2303, 3092, 3901, 4736, 5603? n**3 - 2*n**2 + 766*n - 4 What is the y'th term of -531, -1064, -1597, -2130, -2663? -533*y + 2 What is the c'th term of 8750, 17498, 26234, 34952, 43646, 52310, 60938? -c**3 + 8755*c - 4 What is the i'th term of 90, 180, 272, 366, 462? i**2 + 87*i + 2 What is the k'th term of -10, -104, -198? -94*k + 84 What is the i'th term of 273, 291, 309, 327? 18*i + 255 What is the o'th term of 375, 365, 333, 267, 155, -15, -255, -577? -2*o**3 + o**2 + o + 375 What is the b'th term of 19602, 19600, 19598, 19596, 19594? -2*b + 19604 What is the n'th term of -23, -27, -27, -23, -15? 2*n**2 - 10*n - 15 What is the t'th term of -634, -1265, -1896, -2527, -3158, -3789? -631*t - 3 What is the h'th term of 2624, 2622, 2620, 2618, 2616? -2*h + 2626 What is the j'th term of 60, 228, 508, 900, 1404, 2020? 56*j**2 + 4 What is the z'th term of -298, -303, -320, -355, -414, -503? -z**3 + 2*z - 299 What is the k'th term of -18, -28, -38, -48, -58, -68? -10*k - 8 What is the z'th term of -36, -28, -8, 30, 92, 184, 312, 482? z**3 + z - 38 What is the h'th term of -32, -50, -86, -146, -236, -362? -h**3 - 3*h**2 - 2*h - 26 What is the a'th term of 696, 697, 698, 699, 700, 701? a + 695 What is the l'th term of -10, -29, -60, -103, -158? -6*l**2 - l - 3 What is the z'th term of -700, -693, -682, -667? 2*z**2 + z - 703 What is the f'th term of 164, 179, 182, 167, 128, 59, -46? -f**3 + 22*f + 143 What is the w'th term of 2, 57, 218, 539, 1074, 1877, 3002? 9*w**3 - w**2 - 5*w - 1 What is the j'th term of -59, -114, -169? -55*j - 4 What is the d'th term of 10, 51, 120, 217, 342, 495, 676? 14*d**2 - d - 3 What is the t'th term of -707, -704, -699, -692, -683, -672, -659? t**2 - 708 What is the n'th term of 0, 9, 26, 57, 108? n**3 - 2*n**2 + 8*n - 7 What is the m'th term of -11, -10, 1, 28, 77, 154, 265, 416? m**3 - m**2 - 3*m - 8 What is the m'th term of 5329, 5330, 5333, 5338, 5345? m**2 - 2*m + 5330 What is the d'th term of -22, -62, -140, -274, -482, -782, -1192? -3*d**3 - d**2 - 16*d - 2 What is the j'th term of 104, 318, 676, 1178, 1824, 2614, 3548? 72*j**2 - 2*j + 34 What is the q'th term of -185, -188, -185, -170, -137? q**3 - 3*q**2 - q - 182 What is the c'th term of 337, 363, 389, 415, 441, 467? 26*c + 311 What is the k'th term of 13, 54, 87, 106, 105, 78, 19, -78? -k**3 + 2*k**2 + 42*k - 30 What is the x'th term of 1356, 2710, 4064? 1354*x + 2 What is the w'th term of -276, -282, -290, -300, -312? -w**2 - 3*w - 272 What is the g'th term of 287, 284, 257, 194, 83, -88, -331? -2*g**3 + 11*g + 278 What is the q'th term of -75, -153, -231, -309, -387? -78*q + 3 What is the i'th term of 1974, 3945, 5918, 7893, 9870? i**2 + 1968*i + 5 What is the u'th term of -2603, -5202, -7797, -10388? 2*u**2 - 2605*u What is the b'th term of -24, -45, -74, -111, -156, -209, -270? -4*b**2 - 9*b - 11 What is the c'th term of 4384, 4390, 4398, 4408, 4420, 4434, 4450? c**2 + 3*c + 4380 What is the d'th term of -19, -68, -149, -268, -431, -644, -913? -d**3 - 10*d**2 - 12*d + 4 What is the b'th term of 18, 61, 124, 213, 334, 493, 696? b**3 + 4*b**2 + 24*b - 11 What is the s'th term of 27, 56, 85, 114? 29*s - 2 What is the k'th term of -3778, -7526, -11260, -14974, -18662, -22318, -25936? k**3 + k**2 - 3758*k - 22 What is the y'th term of -55, -138, -223, -310, -399, -490, -583? -y**2 - 80*y + 26 What is the z't
{ "pile_set_name": "DM Mathematics" }
v(w) = -45*w + 680. Let x be v(15). What is the closest to -2 in x, -2/13, 0, -6? -2/13 Let q = 0.8377 - -0.1623. What is the closest to q in 0, 3, 4/7, 1/6? 4/7 Suppose 7 + 25 = 4*w. Suppose 2 = j, -2*z = 3*j - 4*j - 8. Suppose -2*v - z*r = -w, 0 = 2*r - 2 - 2. Which is the nearest to 0.2? (a) v (b) -0.3 (c) 2 b Let y be (21/(-56))/(-5 + (-102)/(-24)). Which is the nearest to -0.3? (a) 0 (b) -6 (c) y a Let z = 5570.1 - 5570. Let l = -188/3 - -62. What is the closest to l in -4, z, -1/7? -1/7 Let p = 26.41 - 26.4. What is the closest to 0 in -2/3, 0.22, -0.1, p? p Let l = 0.14 + 0.06. Let b = -8 + 12. Suppose 4*f + 3*j - 6 = j, -3*f + 17 = b*j. What is the closest to f in -3, l, -5? l Let r = -0.3636 + -1.6364. Let s = 1052/15 - 70. Suppose 4*t - 6 = 2*t. Which is the closest to r? (a) 0.1 (b) s (c) t a Let n = -0.216 - -0.316. What is the nearest to 1 in 3, 0, n? n Let x = 0.3 + -0.5. Let k = 7931/9 + -881. Let f be ((-3)/14)/((-9)/(-12)). Which is the closest to 1? (a) x (b) f (c) k c Let s(p) = 2*p + 43. Let z be s(-21). Which is the closest to z? (a) -0.5 (b) 1 (c) -2/7 b Let q = 14 + -11. Let n be ((-4)/q)/((-368)/24). Let k = 99/224 + -5/32. Which is the nearest to k? (a) n (b) 1 (c) 0.4 c Let h = 36.59 + -0.59. Let y = -36 + h. Let j be 0/1 + 1 + 1. Which is the closest to y? (a) j (b) 3/5 (c) -2/9 c Let d = 7.0097 + -0.0097. What is the closest to -1/3 in -1/4, 2, 3, d? -1/4 Let y = 4.006 + -0.006. Let o = 27.3 - 24. Let n = 3 - o. Which is the nearest to -0.1? (a) n (b) 0 (c) y b Let h = 3 + 0. Suppose -5*p = -t - 19, 4 = -h*p - 4*t - 3. Let x be p + (91/4)/(-7). Which is the nearest to -0.2? (a) x (b) -4 (c) 3/4 a Let u = -2/549 + 3308/3843. Let f = -167/2 - -84. Which is the closest to -1? (a) 0.3 (b) u (c) f a Let f = -372 - -1854/5. Let y be ((-2)/3)/((-56)/21). Which is the nearest to -1? (a) y (b) 2 (c) f c Let d = -4.43 - -4.93. Let r be ((-1)/2)/(1/(-2)). Which is the closest to d? (a) -0.3 (b) r (c) -5 b Let h = -2 + 2.3. Let k = 30 - -46. Let q = -71 + k. What is the nearest to 7 in h, q, -3/5? q Let g = 0 - 20. Let u be g + 6 + 1*3. Let w be u/(-33) - (-1)/15. Which is the nearest to w? (a) 1/4 (b) -3 (c) 0.05 a Let p = 1.788 + -1.588. Which is the closest to p? (a) -1/2 (b) 16 (c) 1/3 c Suppose -49*x - 488 = -403*x + 220. Let m = -0.3 - -0.4. What is the closest to m in 8, x, -0.4? -0.4 Let j = 171 - 19.5. Let v = -152 + j. What is the nearest to 1/2 in v, -5, -0.1? -0.1 Let v = -511 + 506. Which is the closest to v? (a) -8 (b) 0.5 (c) 2/9 (d) -4 d Let x(c) = -c**2 - c**3 + 83 + 2*c**3 - 85 + c + c**3. Let f be x(1). Let m = 14/5 - 51/20. What is the closest to m in f, -5, -4? f Let o = 32 - 27.8. Let c = o - 0.2. Let w = -11.6 - -12. What is the nearest to -1 in c, 0.2, w? 0.2 Suppose 0 = 2*s + 60 + 92. Let q = s + 230/3. Let h = -5 - -8. What is the closest to -0.1 in q, h, 1/2? 1/2 Suppose c - 10 = -5*p, p - 2*p - 19 = -4*c. Let l be p + 0 + (0 - 1). Suppose 5*n + 5*v - 10 = 8*n, v = 2. What is the closest to n in l, 3/7, -4? l Let c = 74.2 - 74. Suppose 2*i - 8 = -0*i. Suppose 14 - 20 = 6*m. What is the nearest to i in 4, c, m? 4 Let w be (-12)/(-14) - (1 + 0). Let n = 55 + -53. Which is the closest to n? (a) 4 (b) w (c) 3 c Let q be 3/(-19)*(-8)/(-12). Let d = 0.56 - 0.06. Let g = -1.5 - d. Which is the nearest to 2/5? (a) 0.4 (b) g (c) q a Let u = -5.059 - -0.059. Let j = -14 + 10. Let n = 1 + j. What is the nearest to -1 in n, 1/3, u? 1/3 Let y = 100 - 99.9. Let m = 0.04 + 0.46. Let v = 3.96 - -0.04. Which is the closest to y? (a) v (b) 1 (c) m c Let n = -53.5 + -0.5. Let i = -50 - n. Which is the nearest to 1/4? (a) i (b) 0 (c) -0.3 b Let h = 2.7 - 1.3. Let c = -1.51 + -0.09. Let r = h - c. What is the nearest to 2 in r, 0.1, 0? r Let z = 922 - 915. Which is the closest to 4? (a) z (b) 3/7 (c) -2 (d) 3 d Let u = -2061 + 2061.4. Which is the closest to -2? (a) 2/3 (b) 0.09 (c) u (d) -4 d Let l be (4/(-1) - -1)*1. Let d = -1 - -4. Let o = -5 + d. Which is the closest to -1? (a) -5 (b) o (c) l b Let m = 310/737 - 16/67. Let t = 107 - 325/3. Let y be ((-5)/4)/((-3)/(-4)). Which is the closest to -1? (a) m (b) t (c) y b Suppose -5*m + 2*s = 9, 5*m + 13 + 17 = -5*s. Which is the closest to 304? (a) m (b) -2 (c) -3/5 c Let m = 565 - 565.5. What is the nearest to 1 in m, 1, 1.1, 4? 1 Let s = -31/3 + 10. Suppose -4*n - 1 = -3*y, 0*y + 4*y + 20 = 0. What is the closest to n in 1, s, 3? s Let c be (-15)/12*(-4)/(-30). Let y(i) = i**3 - i**2 - 5*i + 5. Let r be y(2). Let a be 2/r*(-19)/76. What is the closest to -2/7 in 5, c, a? c Let m be (-634)/(-18) - 10/45. Let a = m - 34. What is the closest to -1 in 2/25, 1/5, a? 2/25 Let w(y) = 29*y + 116. Let p be w(-4). Which is the nearest to 3? (a) -4 (b) p (c) 4 (d) 0.24 c Let c be (20/(-15))/(16/48). Let d = 1 + 2. What is the closest to 0.2 in d, c, 2? 2 Let l(h) = h**3 + 10*h**2 + 4*h + 35. Let v be l(-10). Which is the closest to v? (a) 5/4 (b) 2/13 (c) -2/15 (d) -2/9 d Let k = 1144 + -1146. Which is the closest to k? (a) 3 (b) -2/3 (c) -2 (d) 0.06 c Let y be ((-2)/(-24))/((-2)/(-4)). Suppose 5*t = 23 - 18. Suppose -39*n + 6 = -36*n. Which is the nearest to n? (a) t (b) y (c) 0.5 a Let p = -11 + 21. Let u = 9.4 - p. Let y = u + 0.7. Which is the closest to y? (a) 2/5 (b) -3 (c) 2 a Let f = 0.0236 - 0.0036. Let r = -4.1 - -0.1. What is the nearest to 1/4 in r, 2/7, f? 2/7 Let r = -1.17 + 0.87. Let m = -0.61 - -0.11. Which is the closest to -2/3? (a) -2 (b) m (c) r b Let u = -163 - -159.35. Let w = u + -0.35. Which is the closest to 0? (a) -0.4 (b) w (c) -0.2 c Let a = 476 - 476. What is the closest to a in -0.14, 2, -5? -0.14 Let z be (-4)/45 - ((-1064)/(-105) - 10). What is the nearest to -1/14 in z, 3/4, 0, 2/7? 0 Let s = -0.3 + -0.1. Let d = 0.0487 - 0.3487. Suppose -4*j + 2*l = -8, 5*j - 7 = 2*j + l. Which is the nearest to -0.1? (a) j (b) d (c) s b Let y = 34 + -23.8. Let q = y - 7.2. What is the nearest to -0.4 in -0.1, -1/3, q? -1/3 Let z = -20 + 25. Let u be (-2)/(-6)*(-3)/z. Suppose 5*w + 3 + 2 = 0. Which is the nearest to w? (a) 3 (b) 1/6 (c) u c Let u be (2 - (-34)/(-30)) + 73/(-365). What is the nearest to -1/3 in -9, u, 4/5, 0.2? 0.2 Let v = -0.04 + -0.46. Let f = -286 - -285. What is the nearest to 1/3 in v, 3, f? v Let c = -10/3 + 3. Let p = -903 - -4531/5. Let f = -3 + p. What is the closest to c in 0, -5/3, f? 0 Let o = -301/6 - -50. Let m = 2853 + -2858. Let z be (-4)/(-18) - 16/(-90). Which is the closest to z? (a) o (b) m (c) -2/13 c Let f = -3 + 2. Let t be (f + (-7)/(-9))*-3. Let m be 6/(-9)*(-2)/(-4). What is the nearest to 2 in t, -0.5, m? t Let g be (2/(-2))/((-2)/(-10)). Let y = -211 + 117. Let x = y + 96. Which is the nearest to 1/2? (a) g (b) -2/9 (c) x b Let x = -0.76 - -7.16. Let t = x + -6. Let j = 1299.1 - 1299. Which is the nearest to 0? (a) t (b) j (c) 4 b Let o = 10283/30 - 1028/3. What is the nearest to o in 4, 0.2, 2/13? 2/13 Let r be (-64)/(-96) - (-2)/3. Which is the closest to -0.2? (a) -0.1 (b) -1 (c) r a Let u = 12.2 + -12. Let w = 2.59 + -0.09. Let z = w - 0.5. Which is the closest to u? (a) 0.3 (b) z (c) -0.5 a Let g = 106/3 - 35. Let q = 833/5 - 166. Which is the closest to 2/7? (a) q (b) g (c) 1 b Let r = -11.3 - -2.3. Let h = 9.7 - 0.7. Let d = h + r. Which is the nearest to 0? (a) -2 (b) 4 (c) d c Let y be 6028/(-11645) + -2*2/(-34). Let t = 1 + -1.4. Which is the closest to y? (a) 2 (b) t (c) 1 b Let g be 458354/(-3060) + 1/(-9). Let v be ((-1)/(-1))/(-1) - -151. Let h = g + v. What is the closest to -2 in -2, h, 2? -2 Let m = -34.31 + 34. Let o = -0.61 - m. Let u = -1 + -1. What is the nearest to u in 0, -1, o? -1 Let l = 542 - 538. What is the nearest to 1/4 in 0.5, -0.035, l? 0.5 Let h be (-2)/(-3) + 104/24. Which is the closest to -1/2? (a) 1/3 (b) h (c) 1/5 c Let q = -1503.9 - -1503. Which is the nearest to q? (a) 2 (b) 0.3 (c) 1/9 c Let f be ((-330)/14)/(6/(-21)). Let o = f + -81. Suppose -4*l + 14 = -6. Which is the closest to 1/4? (a) l (b) o (c) 2/3 c Let g = 112 + -92.9. Let j = g - -0.9. Let p = -18 + j. What is the nearest to -0.1 in -3/5, -1/5, p? -1/5 Let s be (4 + -5)/(-1 -
{ "pile_set_name": "DM Mathematics" }
493. 477 Calculate the greatest common factor of 4082 and 1867762. 26 What is the greatest common factor of 84212 and 733636? 148 What is the greatest common divisor of 230 and 56379670? 230 What is the greatest common divisor of 82493191 and 55? 11 What is the highest common divisor of 3470791 and 4348? 1087 What is the highest common divisor of 258 and 28774396? 86 Calculate the highest common factor of 469054 and 40. 2 What is the highest common factor of 1275615 and 34360? 4295 What is the greatest common divisor of 274773270 and 60? 30 Calculate the greatest common divisor of 51 and 4076651. 17 What is the highest common factor of 2754 and 1352384? 34 Calculate the highest common factor of 9911678 and 174. 58 What is the greatest common divisor of 373037 and 5341? 49 Calculate the greatest common factor of 36 and 183627117. 9 Calculate the highest common divisor of 1880 and 92855080. 1880 Calculate the greatest common factor of 558487 and 688154. 1021 Calculate the greatest common factor of 5115 and 5051667. 93 Calculate the greatest common factor of 20196 and 179618175. 5049 Calculate the highest common divisor of 496188627 and 99. 33 Calculate the highest common factor of 2044 and 13098244. 292 Calculate the greatest common divisor of 918335 and 1888. 59 What is the highest common divisor of 5878807 and 152207? 1507 What is the greatest common divisor of 36720 and 13778640? 2160 Calculate the highest common factor of 1025464 and 6233. 271 What is the highest common divisor of 2009526387 and 66? 33 Calculate the greatest common factor of 2616 and 11617220. 436 Calculate the highest common factor of 866090 and 270. 10 Calculate the highest common factor of 945 and 4654440. 315 Calculate the greatest common divisor of 186 and 835603233. 93 Calculate the highest common factor of 205 and 66492529. 41 What is the greatest common divisor of 369587 and 3404? 23 Calculate the highest common factor of 8802 and 227124. 54 What is the highest common divisor of 11580 and 8445? 15 What is the highest common divisor of 644424273 and 1161? 387 What is the greatest common divisor of 4396734776 and 116? 116 Calculate the highest common divisor of 1014797 and 25984. 203 Calculate the greatest common divisor of 44075304 and 1798. 62 Calculate the highest common divisor of 9297 and 4454296. 1033 What is the highest common factor of 4987025 and 1900? 475 Calculate the highest common divisor of 7268450 and 150. 50 Calculate the highest common divisor of 6008 and 49976797. 751 What is the greatest common factor of 207255 and 3260475? 5055 What is the highest common divisor of 1568920 and 3965? 305 Calculate the highest common factor of 744 and 6358614. 6 Calculate the highest common divisor of 165 and 53883060. 165 Calculate the highest common factor of 9968 and 8489176. 712 What is the greatest common divisor of 105194 and 8582136? 706 Calculate the highest common divisor of 432624 and 12888. 24 Calculate the greatest common factor of 9004050 and 1315800. 7650 What is the highest common factor of 2576486 and 2739? 913 What is the greatest common factor of 202904 and 10712? 104 Calculate the greatest common factor of 1014284 and 215. 43 What is the highest common divisor of 687306 and 378? 6 Calculate the greatest common divisor of 4573194 and 1974. 282 What is the highest common factor of 175605 and 411585? 345 Calculate the highest common factor of 579437 and 404. 101 Calculate the greatest common divisor of 753 and 8176325. 251 Calculate the highest common factor of 101687 and 768487. 1667 Calculate the greatest common divisor of 10288 and 7262042. 1286 Calculate the highest common divisor of 5213727 and 408444. 1011 What is the highest common factor of 150868952 and 404? 404 What is the highest common divisor of 505 and 33419587? 101 What is the greatest common divisor of 120 and 20358440? 40 What is the greatest common factor of 266112 and 37552? 16 Calculate the highest common divisor of 304 and 635404080. 304 Calculate the greatest common factor of 115873100 and 700. 700 What is the greatest common factor of 121367 and 11? 1 Calculate the greatest common divisor of 32148 and 6142947. 2679 What is the highest common factor of 22528 and 186120? 88 Calculate the highest common divisor of 3215 and 1316864. 643 Calculate the greatest common factor of 17363 and 186876. 179 Calculate the greatest common divisor of 5609987 and 549. 61 Calculate the greatest common divisor of 678 and 67618974. 678 Calculate the greatest common divisor of 12426359 and 1408. 11 Calculate the greatest common divisor of 25650 and 59930750. 950 Calculate the highest common factor of 3466289 and 9153605. 9293 What is the greatest common divisor of 4046 and 402472? 14 What is the highest common divisor of 1133 and 6101106? 11 What is the highest common divisor of 33481 and 21719603? 4783 Calculate the highest common factor of 2960 and 4043545. 185 What is the highest common factor of 26603802 and 14841? 873 What is the highest common factor of 1800 and 7326225? 225 Calculate the greatest common divisor of 362309459 and 10898. 5449 Calculate the greatest common factor of 26 and 189015346. 26 Calculate the greatest common divisor of 46936206 and 30. 6 What is the highest common factor of 47965907 and 1837? 1837 Calculate the greatest common divisor of 5910402 and 578. 2 What is the greatest common factor of 3193722 and 4018? 98 Calculate the highest common divisor of 395410 and 30. 10 What is the highest common factor of 526 and 679667218? 526 What is the highest common factor of 20339 and 2706936? 1849 Calculate the greatest common divisor of 840 and 517235040. 840 Calculate the highest common divisor of 2662488 and 603. 9 What is the highest common divisor of 2807972 and 44? 4 Calculate the highest common divisor of 4680 and 4995120. 1560 Calculate the greatest common factor of 206519455 and 152. 19 What is the greatest common divisor of 10044 and 222588? 324 Calculate the greatest common factor of 31806 and 7380018. 1026 What is the greatest common divisor of 849371040 and 108? 36 What is the highest common factor of 30 and 17548740? 30 Calculate the highest common divisor of 3036 and 4835094. 66 What is the greatest common divisor of 14327286 and 66? 6 What is the highest common factor of 180 and 1020525? 15 What is the greatest common divisor of 46501567 and 30037? 4291 Calculate the highest common divisor of 180404 and 21148. 68 Calculate the greatest common divisor of 623348 and 154. 22 Calculate the greatest common divisor of 2075428 and 19091. 17 Calculate the highest common divisor of 21833508 and 380. 76 What is the greatest common divisor of 29138861 and 236? 59 What is the highest common divisor of 79294 and 434067? 41 What is the highest common factor of 490724 and 166270? 26 Calculate the greatest common divisor of 29920 and 170980832. 5984 What is the highest common divisor of 94 and 442392? 2 Calculate the highest common divisor of 1219632 and 9. 3 Calculate the highest common factor of 7230 and 68068040. 2410 What is the highest common divisor of 2451302 and 145859? 2177 Calculate the highest common divisor of 600 and 370820. 20 What is the greatest common divisor of 87 and 907065654? 87 Calculate the highest common factor of 5156 and 14016586. 2578 Calculate the greatest common divisor of 17296791 and 124. 31 What is the greatest common factor of 105360 and 25462? 878 What is the greatest common divisor of 171667 and 2354753? 3239 What is the greatest common factor of 4535 and 275085? 5 What is the greatest common factor of 719296 and 5888? 64 What is the greatest common divisor of 4244888 and 512? 8 What is the greatest common factor of 6167264 and 10912? 992 What is the greatest common factor of 24 and 7749468? 12 Calculate the highest common divisor of 11738782 and 66. 22 Calculate the highest common factor of 9337536 and 14848. 1856 Calculate the greatest common divisor of 1759342 and 779662. 4082 Calculate the greatest common factor of 11114268 and 132. 132 What is the greatest common factor of 8541 and 84123? 117 What is the greatest common divisor of 60918 and 2211? 33 What is the greatest common divisor of 16906308 and 156? 12 What is the highest common fa
{ "pile_set_name": "DM Mathematics" }
9*k - 3. Let m be p(5). Suppose -134 = 3*z + z - 3*g, z = 5*g - m. Find the common denominator of 19/11 and 31*(-3 - z/11). 11 What is the smallest common multiple of 20 and -22*(-4)/(-8)*-2? 220 Let d(k) = 6*k - 11. What is the smallest common multiple of 3/6*(2 - -26) and d(3)? 14 Let c(z) = 0*z - 7*z + 6 + 2*z - z**2. Let x be c(-6). Suppose -4*l = -x*l - 48. Calculate the least common multiple of 16 and l. 48 Suppose t + 2*l = 3, 7*t - l = 5*t + 26. Suppose m - 6*m + 45 = 0. What is the least common multiple of t and m? 99 What is the common denominator of 28/17 and (-3770)/700 + 4/14? 170 Find the common denominator of 61/2 and 21/(-6)*57/18. 12 Let x = -88/3 - -227/9. Let q = -7663 - -69037/9. What is the common denominator of q and x? 9 Let f be (-138473)/1001*36/120. Let w = 2/5005 + f. Calculate the common denominator of w and 13/7. 14 Let p be (1 + -2)*2 + -8. Let n = p + 18. What is the lowest common multiple of n and 20? 40 Let j = -81 + 156. Calculate the least common multiple of j and 24. 600 Suppose -3*f + 6 = 0, -2*j + 5*f = -0*j - 308. Let g = j + 84. Let h = g - 4357/18. Calculate the common denominator of 89/14 and h. 126 Calculate the common denominator of 3 + -7 - 0 - 298/(-64) and 11/14. 224 Let b = -46/43 - -2650/387. What is the common denominator of 4/11 and b? 99 Let g be (-1)/926*2/(-1304). Let y = 7491656687/3018760 + g. Let j = 2479 - y. What is the common denominator of -87/10 and j? 10 Suppose -2*u - 3*b - 2 = -1, -4*u = 3*b - 7. Suppose l = u*l - 3, -5*l = -5*o + 40. Suppose t - o = 1. What is the least common multiple of 9 and t? 90 Let y = -2463/5 + 19499/40. What is the common denominator of y and -57/20? 40 Suppose 3*i = -2*i - 90. Let z be 3*3/9 + i. What is the smallest common multiple of 10/(-15) - z/3 and 5? 5 Suppose 0 = 4*q - 4*n + 2988, -q + n - 2*n = 757. Let h = -1473/2 - q. What is the common denominator of (-2)/6*-2 + -5 and h? 6 Suppose -17*f = -12*f + 5. What is the common denominator of -53/10 and 266/(-36) + f/2? 90 What is the least common multiple of 3 and (6 - 0) + (17 - 15)? 24 Let a(f) be the first derivative of -f**3/3 + 11*f**2/2 - 9*f - 2. Calculate the smallest common multiple of 8 and a(10). 8 Let m(w) = w**2 - 2*w + 2. Suppose 51 = 4*y + 6*t - t, -3*y - 4*t = -38. Calculate the smallest common multiple of m(3) and (y + 0)*19/38. 35 Calculate the common denominator of (75/7)/(4/7) and -21/22. 44 Let t = 4 + -2. Calculate the common denominator of ((-9)/5)/(2/(-11)) and (-88)/(-28) + t + -2. 70 Let x(y) be the first derivative of -y**4/4 - 3*y**3 - 9*y**2/2 + 10*y + 3. What is the least common multiple of 16 and x(-8)? 144 Suppose -8 = v - 5*v - 5*w, -4*v + 4*w = -44. Suppose -10*p + 60 = -4*p. Calculate the smallest common multiple of p and v. 70 Let m(q) = -10*q - 40. What is the least common multiple of 22 and m(-5)? 110 Let i(q) = 2*q**2 - 3*q - 1. Let k be i(-2). Suppose 4*x = -k - 39. Let v = x + 25. What is the lowest common multiple of v and 14? 84 Suppose 2*r - 22 = 6. What is the smallest common multiple of 22 and r? 154 Suppose 3*v + v + 88 = 0. Calculate the smallest common multiple of (4/4)/((-2)/v) and 1. 11 Suppose -9 - 9 = -w. Let m = -33 + w. Find the common denominator of ((-58)/5)/(28/m) and 27/20. 140 Suppose -3*b - 5 = -5*s, b = -2*s + 4*s - 2. Let n = 0 + 6. Calculate the smallest common multiple of s and n. 6 Let a = 8 + 2. Let h = a - 6. Suppose 2 - 4 = 2*f, h*u = 2*f + 26. Calculate the lowest common multiple of u and 6. 6 Let r = 20639/22 + -934. What is the common denominator of 43/20 and r? 220 Suppose 0*g - 9 = -g. Suppose -q + 23 = 3*t - 0*q, t = q + g. What is the smallest common multiple of 22 and t? 88 Suppose 4 = -3*s - 2, 5*f = s + 7. Let g = -1 + 1. Suppose -c - k + 3 = 0, -2*c + g = k - 7. What is the smallest common multiple of c and f? 4 Let g = 4/179 - -13592/537. Let x(c) = -2*c - 2. Let l be x(-2). Suppose -l*k - 45 = 2*z - 7*k, 0 = 3*z + k + 76. What is the common denominator of z and g? 3 Suppose -3*p = -0*p. Suppose -3*q + 8*q - 80 = p. Calculate the lowest common multiple of (2 - (0 + 1))*22 and q. 176 Let z = -93 - -97. What is the lowest common multiple of z and 70? 140 Suppose 3*f = 40 - 16. Let r = 43/2 - -1. Find the common denominator of 4/(-5)*66/f and r. 10 Let s = -9/938 - -30151/14070. Calculate the common denominator of -62/5 and s. 15 Suppose 3*j - 2*j - 7 = -2*p, -3*p - 17 = -4*j. Let w be (0 - 1) + (p - -18). Find the common denominator of -37/4 and (-4)/w - (-2276)/(-288). 8 Let s(f) = -3*f**3 + 2*f**2 + 2*f + 1. Suppose 12 = 5*z - z. Suppose j - z*j = 2*i - 12, -8 = 2*j. What is the least common multiple of s(-1) and i? 20 Suppose -4*s + 2 = 3*d, 0*s = -2*s + 2*d + 8. Let q(b) = b**2 + 2*b**2 + s*b - 2*b**2 + 5*b + 1. What is the lowest common multiple of q(-7) and 9? 9 Let s = 2075/12 + -170. What is the common denominator of s and 0 + 1/(18/(-19))? 36 Suppose 50 = 8*h - 3*h. Let s = h - 0. What is the least common multiple of s and 28/3*3/2? 70 Let v = -1821 + 21935/12. Let p = 1042/3 + v. Let r = p - 351. What is the common denominator of r and 11/16? 16 Let y = 37537/11176 + 5/1016. Let r = 1555/8 - 194. Calculate the common denominator of y and r. 88 Suppose -4*v = -133 + 13. Suppose -4*l - 5 = -3*f + 22, 3*f - 5*l - v = 0. Calculate the smallest common multiple of 10 and f. 10 What is the smallest common multiple of 16 and (12/1)/(12/8)? 16 Let b = 18563 + -11088. Let i = b + -142058/19. Find the common denominator of 54/7 and i. 133 Let x = 6 + -6. Let m = 10 - x. What is the least common multiple of 20 and m? 20 Find the common denominator of -9/2 and -16 - -14 - 13/(-12). 12 Let n be (-10)/4 - (-8)/16. Calculate the smallest common multiple of 2 and 2/4 - 1/n. 2 Suppose -3*n - 2*o - 6029 - 8586 = 0, -3*n = o + 14620. Let h = -1358 + n. Let i = -124737/20 - h. Find the common denominator of 83/8 and i. 40 Let c = 153286/7185 + -2/2395. What is the common denominator of c and 58/15? 15 Let d = -360505/3 + 493925/4. Let v = d + -3307. What is the common denominator of v and -17/6? 12 Let n = 47457/11 - 4318. Let b = 135 - 392/3. Find the common denominator of b and n. 33 Let m(u) = -u**2 - 8*u - 1. What is the smallest common multiple of 24 and m(-5)? 168 What is the common denominator of -17/18 and -3 - (-452)/(-24)*-1? 18 Let m(p) = p**2 + 5. Suppose 0 = 5*z - b + 3*b - 15, -4*z + 4*b + 40 = 0. Calculate the least common multiple of m(0) and z. 5 Let r(c) = 2*c + c**2 - c + 2*c. Let v be r(-4). Calculate the least common multiple of 11 and (-1)/v + 25/4. 66 Let m = 56 + -36. Let a = 4 + 2. Suppose t = a - 2. Calculate the least common multiple of m and t. 20 Let g = -2 + 6. Suppose -24 = -3*z - 3*j, 2*z = 3*z - j. Suppose -q + z*q = 27. Calculate the lowest common multiple of q and g. 36 Let f = 1279/14 - 89. Find the common denominator of f and 2 + (1/(-18))/(4/(-316)). 126 What is the common denominator of -87/28 and 1*141*(-3)/(-54)? 84 Let y = -3594599/112 + 32095. What is the common denominator of y and -69/22? 1232 Suppose -3*y = -8 - 7. Suppose 5*u - 3 = -3*g, -g - 30 = -y*g + 2*u. What is the lowest common multiple of g and 8? 24 Let n = -1 - 1. Let l = n + 1. What is the smallest common multiple of (9/6)/(l/(-4)) and 8? 24 Find the common denominator of 4/10 - 203/20 and 4/((-60)/115) - -1. 12 Let k(q) = q**3 + 5*q**2 - 2*q - 3. Let d be k(-3). Let f = d + -10. Let u = -2 - -11. Calculate the least common multiple of u and f. 99 Let y be 2 - (-2 + 5 + 269). Find the common denominator of (-3)/15 + 591/y and -53/6. 18 Let w(k) = -4*k + 1. Let r(z) = 2*z**2 + 4*z - 4. Let u be r(-4). Calculate the lowest common multiple of ((-22)/3)/((-8)/u) and w(-1). 55 Let t(g) = -g - 3. Let n be t(-3). Suppose n = -l - 0*l - 30. Find the common denominator of l/(-4)*(-132)/20 and -75/4. 4 Let c(z) = 5*z**2 + 10*z - 3. Let i(q) = 4*q**2 + 9*q - 3. Let p(s) = 3*c(s) - 4*i(s). What is the least common multiple of p(-5) and 10? 40 Suppose 0 = 4*n - 8 - 12. Let y(b) = 2*b + 1. Calculate the least common multiple of y(n) and 2. 22 Let q = 126691/12 + -10570. Calculate the common denominator of q and -85/4. 12 Let f = 782/1727 + -2190127/103620. Let q = f - -103/12. What is the common denominator of (-41)/3*6/(-14) and q? 7
{ "pile_set_name": "DM Mathematics" }
by 8. 7 Calculate the remainder when 96 is divided by 11. 8 Calculate the remainder when 925 is divided by 17. 7 Calculate the remainder when 286 is divided by 24. 22 Calculate the remainder when 573 is divided by 75. 48 Calculate the remainder when 895 is divided by 226. 217 What is the remainder when 3882 is divided by 81? 75 Calculate the remainder when 302 is divided by 4. 2 What is the remainder when 440 is divided by 71? 14 Calculate the remainder when 4301 is divided by 535. 21 Calculate the remainder when 300 is divided by 43. 42 What is the remainder when 23022 is divided by 91? 90 What is the remainder when 3134 is divided by 56? 54 What is the remainder when 475 is divided by 4? 3 What is the remainder when 116 is divided by 39? 38 What is the remainder when 2162 is divided by 5? 2 What is the remainder when 164 is divided by 33? 32 Calculate the remainder when 2978 is divided by 9. 8 Calculate the remainder when 97 is divided by 33. 31 What is the remainder when 57 is divided by 33? 24 What is the remainder when 353 is divided by 50? 3 What is the remainder when 2090 is divided by 2047? 43 Calculate the remainder when 1877 is divided by 4. 1 What is the remainder when 795 is divided by 49? 11 Calculate the remainder when 535 is divided by 8. 7 What is the remainder when 493 is divided by 183? 127 What is the remainder when 6173 is divided by 8? 5 What is the remainder when 83 is divided by 42? 41 What is the remainder when 1322 is divided by 645? 32 What is the remainder when 1654 is divided by 44? 26 Calculate the remainder when 134 is divided by 29. 18 Calculate the remainder when 231 is divided by 80. 71 Calculate the remainder when 229 is divided by 91. 47 What is the remainder when 407 is divided by 51? 50 Calculate the remainder when 406 is divided by 91. 42 What is the remainder when 6191 is divided by 16? 15 What is the remainder when 109 is divided by 28? 25 Calculate the remainder when 276 is divided by 8. 4 Calculate the remainder when 56 is divided by 27. 2 Calculate the remainder when 1287 is divided by 317. 19 What is the remainder when 7062 is divided by 2? 0 What is the remainder when 721 is divided by 148? 129 Calculate the remainder when 176 is divided by 97. 79 What is the remainder when 117 is divided by 4? 1 What is the remainder when 3232 is divided by 55? 42 Calculate the remainder when 123 is divided by 16. 11 Calculate the remainder when 3787 is divided by 1890. 7 What is the remainder when 263 is divided by 94? 75 What is the remainder when 669 is divided by 61? 59 What is the remainder when 2818 is divided by 47? 45 What is the remainder when 342 is divided by 43? 41 What is the remainder when 244 is divided by 232? 12 What is the remainder when 228 is divided by 81? 66 Calculate the remainder when 10562 is divided by 38. 36 What is the remainder when 586 is divided by 31? 28 Calculate the remainder when 26 is divided by 25. 1 What is the remainder when 93 is divided by 43? 7 What is the remainder when 65 is divided by 19? 8 What is the remainder when 76 is divided by 9? 4 What is the remainder when 962 is divided by 265? 167 What is the remainder when 242 is divided by 156? 86 What is the remainder when 45 is divided by 27? 18 Calculate the remainder when 1467 is divided by 38. 23 What is the remainder when 802 is divided by 6? 4 What is the remainder when 180 is divided by 178? 2 Calculate the remainder when 140 is divided by 31. 16 Calculate the remainder when 64 is divided by 33. 31 Calculate the remainder when 91 is divided by 65. 26 What is the remainder when 87 is divided by 61? 26 What is the remainder when 1286 is divided by 379? 149 What is the remainder when 4002 is divided by 15? 12 What is the remainder when 171 is divided by 43? 42 Calculate the remainder when 67 is divided by 15. 7 Calculate the remainder when 553 is divided by 15. 13 What is the remainder when 2882 is divided by 31? 30 What is the remainder when 217 is divided by 22? 19 Calculate the remainder when 2600 is divided by 86. 20 Calculate the remainder when 188 is divided by 63. 62 Calculate the remainder when 79 is divided by 22. 13 Calculate the remainder when 4290 is divided by 1072. 2 Calculate the remainder when 3484 is divided by 14. 12 Calculate the remainder when 296 is divided by 61. 52 Calculate the remainder when 914 is divided by 231. 221 Calculate the remainder when 4813 is divided by 86. 83 Calculate the remainder when 152 is divided by 56. 40 Calculate the remainder when 1326 is divided by 43. 36 Calculate the remainder when 2918 is divided by 127. 124 What is the remainder when 2579 is divided by 43? 42 What is the remainder when 259 is divided by 52? 51 Calculate the remainder when 535 is divided by 174. 13 What is the remainder when 193 is divided by 36? 13 Calculate the remainder when 1114 is divided by 309. 187 Calculate the remainder when 489 is divided by 41. 38 What is the remainder when 67 is divided by 56? 11 Calculate the remainder when 497 is divided by 125. 122 Calculate the remainder when 403 is divided by 45. 43 What is the remainder when 48 is divided by 27? 21 Calculate the remainder when 146 is divided by 15. 11 What is the remainder when 3535 is divided by 16? 15 Calculate the remainder when 115 is divided by 78. 37 What is the remainder when 946 is divided by 13? 10 Calculate the remainder when 1068 is divided by 965. 103 Calculate the remainder when 2841 is divided by 9. 6 What is the remainder when 1018 is divided by 17? 15 Calculate the remainder when 186 is divided by 68. 50 What is the remainder when 152 is divided by 35? 12 Calculate the remainder when 143 is divided by 35. 3 What is the remainder when 27 is divided by 7? 6 What is the remainder when 224 is divided by 15? 14 What is the remainder when 578 is divided by 30? 8 Calculate the remainder when 9049 is divided by 73. 70 Calculate the remainder when 19 is divided by 3. 1 Calculate the remainder when 1098 is divided by 85. 78 What is the remainder when 58 is divided by 10? 8 What is the remainder when 723 is divided by 51? 9 What is the remainder when 3179 is divided by 7? 1 What is the remainder when 42 is divided by 26? 16 Calculate the remainder when 1305 is divided by 426. 27 What is the remainder when 1385 is divided by 73? 71 What is the remainder when 1928 is divided by 71? 11 What is the remainder when 1693 is divided by 113? 111 Calculate the remainder when 1228 is divided by 155. 143 Calculate the remainder when 621 is divided by 212. 197 What is the remainder when 142 is divided by 24? 22 Calculate the remainder when 177 is divided by 13. 8 What is the remainder when 99 is divided by 49? 1 Calculate the remainder when 111 is divided by 21. 6 Calculate the remainder when 50 is divided by 12. 2 What is the remainder when 43 is divided by 6? 1 What is the remainder when 1816 is divided by 32? 24 Calculate the remainder when 25941 is divided by 7. 6 What is the remainder when 878 is divided by 242? 152 What is the remainder when 119 is divided by 12? 11 What is the remainder when 25 is divided by 5? 0 Calculate the remainder when 229 is divided by 41. 24 What is the remainder when 1387 is divided by 460? 7 Calculate the remainder when 372 is divided by 72. 12 Calculate the remainder when 588 is divided by 85. 78 What is the remainder when 4663 is divided by 8? 7 What is the remainder when 165 is divided by 60? 45 What is the remainder when 855 is divided by 66? 63 What is the remainder when 875 is divided by 95? 20 What is the remainder when 78 is divided by 29? 20 What is the remainder when 870 is divided by 70? 30 Calculate the remainder when 1612 is divided by 85. 82 What is the remainder when 4295 is divided by 23? 17 What is the remainder when 1410 is divided by 9? 6 Calculate the remainder when 1550 is divided by 141. 140 What is the remainder when 511 is divided by 32? 31 Calculate the remainder when 3401 is divided by 284. 277 Calculate the remainder when 1555 is divided by 54. 43 Calculate the remainder when 3468 is divided by 57. 48 Calculate the remainder when 1424 is divided by 31. 29 Calculate the remainder when 7796 is divided by 8. 4 Calculate the remainder when 98 is divided by 13. 7 What is the remaind
{ "pile_set_name": "DM Mathematics" }
4 Let u(n) be the third derivative of 4/27*n**3 - 5/108*n**4 + 0*n + 0 + 1/540*n**5 + 1/1080*n**6 + 22*n**2. Factor u(r). (r - 2)*(r - 1)*(r + 4)/9 Let p = 42 + -38. Factor -8*i**5 + 0*i**3 + 2*i**p - 11*i**5 + 20*i**5 + i**3. i**3*(i + 1)**2 Let f = -161/6081 - -6403/12162. Suppose 3/5 + 1/10*m**2 + f*m = 0. Calculate m. -3, -2 Let d(l) be the third derivative of -l**8/210 - 3*l**7/175 + l**6/30 + l**5/50 - 245*l**2 - 2. Find z, given that d(z) = 0. -3, -1/4, 0, 1 Let d(p) be the third derivative of -p**6/660 - 53*p**5/165 + 107*p**4/132 + 8070*p**2. Factor d(h). -2*h*(h - 1)*(h + 107)/11 Let t(j) be the second derivative of -7*j**6/10 - 57*j**5/10 + 3*j**4/4 + 41*j**3 - 60*j**2 - 1620*j. Solve t(a) = 0. -5, -2, 4/7, 1 Let q(y) = y**2 - y. Suppose -f = -11*f + 7*f. Let u be q(f). Factor u + 2/3*k + 1/3*k**2. k*(k + 2)/3 Let z = 550709/157342 + -6/78671. Let 19*c**2 - 5/2*c**4 + 12 + z*c**3 - 38*c = 0. Calculate c. -3, 2/5, 2 Factor 32/3*f**3 + 8*f**4 + 0 + 4/3*f**5 + 0*f + 0*f**2. 4*f**3*(f + 2)*(f + 4)/3 Let q(g) = -20*g**3 - 97*g**2 - 45*g + 20. Let x(k) = 16*k**3 + 95*k**2 + 45*k - 21. Let f(h) = 3*q(h) + 2*x(h). Suppose f(j) = 0. What is j? -3, -6/7, 1/4 Suppose 9*q**5 + q**4 + 17*q**3 + 46*q - 20 + 63*q - 20*q**2 - 77*q**4 + 177*q**3 - 196*q**2 = 0. What is q? 4/9, 1, 5 Let s(o) be the first derivative of o**3/3 - 11*o**2/2 + 1637. Factor s(v). v*(v - 11) Factor 34*l + 80 - 5*l**2 + 11*l - 61*l + l**2 - l**2 + l**3. (l - 5)*(l - 4)*(l + 4) Let w(i) = i**3 - 16*i**2 + 14*i + 14. Let a be w(15). Let u(p) = -6*p**2 + 116*p + 122. Let g(z) = 2*z**2 + 2*z. Let h(j) = a*u(j) - 4*g(j). Solve h(y) = 0. -61, -1 Suppose -189504*m - 5*m**3 + 63729 + 34545 + 1945*m**2 - 616*m - 12627 + 102533 = 0. Calculate m. 1, 194 Let p(q) be the first derivative of 91 + 26/3*q**4 + 0*q + 6/5*q**5 + 46/3*q**3 - 6*q**2. Find b, given that p(b) = 0. -3, 0, 2/9 Suppose 0*l + 219/5*l**3 + 3/5*l**5 + 0*l**2 + 0 + 222/5*l**4 = 0. What is l? -73, -1, 0 Let 109*b - b**3 - 4*b**2 + 54*b**2 - 10*b**2 + 84 - 16*b**2 = 0. Calculate b. -3, -1, 28 Suppose -f + 1 = 0, 3*y = 2*f + 8 - 4. Let x = -19273 - -77167/4. Factor -3/4*d**y - x + 15/2*d. -3*(d - 5)**2/4 Factor 15*i**3 - 112*i**2 + 225/2 - 1/2*i**4 - 15*i. -(i - 15)**2*(i - 1)*(i + 1)/2 Let v(n) = 29*n**3 + n**2 + 2*n - 3. Let y be v(1). Let s = -9 + y. Solve -35*w**2 + 9 - 5*w**3 + 15*w**4 - 34*w**5 + 19*w**5 + 11 + s*w**5 = 0 for w. -2, -1, 1 Suppose 0 = x + a - 10, 6*x - 3*a - 47 = 2*x. Suppose x = 4*z + 3. Factor -44*j**2 + 45*j**z + j + 1 + j. (j + 1)**2 Let k(z) be the second derivative of -z**4/4 - 17*z**3 - 803*z + 2. Factor k(c). -3*c*(c + 34) Let r(a) = a**3 + 13*a**2 - a - 10. Let t be r(-13). Let y be ((-5)/(-15))/((-1)/(-6)). Factor -4*p**y + p**2 - 3 + 9*p**2 - t*p. 3*(p - 1)*(2*p + 1) Factor -598*y - 60575 + 57503 - 3*y**2 - 518*y - 426*y. -3*(y + 2)*(y + 512) Let y = -706242 - -6356192/9. Let x(h) = h**2 - 2*h - 3. Let t be x(3). Factor 4/3*o + y*o**3 + t - 46/9*o**2. 2*o*(o - 3)*(7*o - 2)/9 Let n(w) be the second derivative of -35*w - 5/12*w**4 + 0*w**2 + 10/3*w**3 + 0. Factor n(z). -5*z*(z - 4) Let k(p) be the third derivative of -5/48*p**8 - 1/21*p**7 + 37/3*p**5 - 3*p + 77/24*p**6 + 24*p**2 + 40/3*p**3 + 115/6*p**4 + 0. Find o, given that k(o) = 0. -2, -1, -2/7, 4 Factor -4 + 2*u**4 + 33*u - 1300*u**3 + 1296*u**3 - 29*u + 3*u**2 - u**4. (u - 2)**2*(u - 1)*(u + 1) Let p(m) = -5*m**3 - 6*m**2 - 4. Suppose -71 = -5*b - 56. Let f(x) = -x**3 + x**2 - 1. Let c(g) = b*p(g) - 12*f(g). Factor c(v). -3*v**2*(v + 10) Let w(k) = -9*k - 177. Let z be w(-20). Factor 189*a**4 + 3*a**3 - 3*a - 190*a**4 + z*a**2 - 2*a**2. -a*(a - 3)*(a - 1)*(a + 1) Suppose 0 = -45*o + 49*o - 156. Let r be -3*1 + o/52*8. Factor 0 - 8/5*h + 6/5*h**2 + 2/5*h**r. 2*h*(h - 1)*(h + 4)/5 Let m be (40*(-44)/7480)/(2/(-17)). Suppose 648/5*f**m + 3888/5 - 2592/5*f - 72/5*f**3 + 3/5*f**4 = 0. Calculate f. 6 Let i(n) = 110*n**4 + 3235*n**3 + 30010*n**2 + 91610*n + 90. Let k(d) = 5*d**4 + 147*d**3 + 1364*d**2 + 4164*d + 4. Let t(o) = -2*i(o) + 45*k(o). Factor t(s). 5*s*(s + 8)**2*(s + 13) Let j(k) be the second derivative of -k**7/1260 + 5*k**6/36 - 125*k**5/12 - 11*k**4/4 - k - 78. Let q(f) be the third derivative of j(f). Factor q(n). -2*(n - 25)**2 Let z be (-3 - 5/(-15))*6/(-4). Suppose 8 + 10 = z*p - 2*q, 0 = 3*p + 5*q - 7. Determine w, given that 5 - 1 - 2*w**2 + 2*w**4 - p = 0. -1, 0, 1 Let x(t) be the third derivative of -t**6/120 - t**5/60 - 5*t**4/24 + 7*t**3/6 + t**2 - 16. Let v be x(1). Factor 2/19*o**2 + v + 0*o. 2*o**2/19 What is c in -304 - 10644*c - 953 - 871 - 20*c**2 = 0? -532, -1/5 Let h = -67 + 69. Find g such that -45*g**3 + 2*g**4 + 37*g**h + 6 + 3*g**4 + 45*g - 76 + 28*g**2 = 0. -1, 1, 2, 7 Let s(k) = -60*k**3 + 54*k**2 + 84*k - 30. Let m(q) = 12*q**3 - 1908*q + 1891*q + 3 + 3 - 11*q**2. Let z(d) = -21*m(d) - 4*s(d). Factor z(p). -3*(p - 2)*(p + 1)*(4*p - 1) Factor -462 + 17*a**4 - 18*a**3 - 824 - 15*a**4 + 102*a**3 + 404 - 84*a + 880*a**2. 2*(a - 1)*(a + 1)*(a + 21)**2 Let o(j) = -10*j**2 - 8*j - 8. Let k(z) = -5*z**2 + 8 - 19*z**2 + 8*z + 36*z**2. Let p(w) = 4*k(w) + 5*o(w). Factor p(q). -2*(q + 2)**2 Let b(f) be the third derivative of -19/30*f**3 - 1/300*f**5 + 2*f + 0 + 1/6*f**4 - 62*f**2. Find u such that b(u) = 0. 1, 19 Factor 4/5*t**2 + 51380224/5 - 28672/5*t. 4*(t - 3584)**2/5 Let t be (-100)/((-1300)/39) - (-2)/2. Suppose -3*a**3 - 1/2*a**t + 0 + 16*a + 0*a**2 = 0. What is a? -4, 0, 2 Let z(k) be the first derivative of -12*k**2 - 35 + 28/3*k**3 + 19*k + 7/6*k**4 - 1/2*k**5. Let g(h) be the first derivative of z(h). Factor g(t). -2*(t - 3)*(t + 2)*(5*t - 2) Let x(v) = 3*v**2 + 129*v - 1979. Let g be x(12). Let q(s) be the first derivative of g + 96/7*s - 24/7*s**2 + 2/7*s**3. Factor q(a). 6*(a - 4)**2/7 Let g be (12 - 16 - 120)/(2/(-110)). Let b(h) = h**2 + 4*h + 4. Let q be b(-6). Factor 6820*a**2 + q*a - g*a**2 - 4*a**3. -4*a*(a - 2)*(a + 2) Let d(v) be the second derivative of v**8/13440 + v**7/1120 + v**6/320 + 49*v**3/6 + 3*v - 9. Let k(q) be the second derivative of d(q). Factor k(z). z**2*(z + 3)**2/8 Factor -2/19*g**2 - 16119842/19 - 11356/19*g. -2*(g + 2839)**2/19 Let x be 24/14 + 27/21 + -1. Factor -16*o + 3 + 2*o**3 + 29*o**x + 4*o**4 - 12*o**3 - 11*o**3 + o**3. (o - 3)*(o - 1)*(2*o - 1)**2 Let h be (11685/(-1640))/((-9)/(-4)) - -4. Suppose h*g**2 - 25/2*g + 35/3 = 0. Calculate g. 1, 14 Let i be ((0 - 2)/(-6))/(7 + -6). Suppose -86*s + 94*s = 24. Find z such that -i*z**2 - s + 2*z = 0. 3 Let k(g) be the first derivative of -g**4 - 196*g**3/3 + 104*g**2 + 400*g - 55. Factor k(r). -4*(r - 2)*(r + 1)*(r + 50) Let t(o) be the first derivative of 800*o - 320*o**2 + 2/5*o**5 + 8*o**4 + 16*o**3 - 68. Factor t(m). 2*(m - 2)**2*(m + 10)**2 Factor 862/3*s + 1/6*s**2 + 371522/3. (s + 862)**2/6 Determine a, given that -5/3*a**2 - 26096415 + 13190*a = 0. 3957 Let o(d) = -880*d**3 - 325*d**2 + 920*d + 685. Let m(l) = -8*l**4 + l**2 - l - 2. Let j(c) = -40*m(c) - o(c). What is h in j(h) = 0? -11/8, -1, 1 Let g(b) be the first derivative of -b**5/15 - 31*b**4/4 - 617*b**3/9 - 433*b**2/2 - 258*b - 4518. Factor g(p). -(p + 1)*(p + 3)**2*(p + 86)/3 Let w(h) = 53*h + 389. Let v be w(-5). Let k be (-2*(-2)/(-42))/(v/(-868)). Factor -2/3*n**2 - 7/3*n**4 - 8/3*n**3 + 1/3 + k*n - 2/3*n**5. -(n + 1)**4*(2*n - 1)/3 Let b(t) be the second derivative of t**7/21 - 4*t**6/15 + 3*t**5/10 + 2*t**4/3 - 4*t**3/3 - 348*t. Suppose b(y) = 0. What is y? -1, 0, 1, 2 Determine z, given that 22/7*z - 15 - 1/7*z**2 = 0. 7, 15 Let c(x) be the first derivative of -1/15*x**3 + 106 + 18/5*x + 3/10*x**2. What is t in c(t) = 0? -3, 6 Let l be -3 + 10 + 1/(5/(-15)). Factor -l*m + 10 - 5*m**2 + 11*m - 2*m. -5*(m - 2)*(m + 1) Let -1365*a**2 + 1551*a**2 - 3191*a + 3146*a + 34*a**3 + 5*a**3 = 0. What is a? -5, 0, 3/13 Let n(z) be the first derivative of 1/6*z**6 - 1/2*z**5 + 0*z**4 - 5/2*z**2 - 35*z - 20 + 5/3*z**3. Let w(a) be the first derivative of n(a). Factor w(r). 5*(r - 1)**3*(r + 1) Let a(w) be the second derivative of -4/3*w**3 - 5/6*w**4 - 43/2*w**2 - 40*w + 7/15*w**5 + 0. Let s(r) be the first derivative of a(r). Factor s(z). 4*(z - 1)*(7*z + 2) Suppose 127 + 240*d + 193 - 188769*d**5 + 188774*d**5 - 80*d**3 - 80*d**2 = 0. What is d? -2, 2,
{ "pile_set_name": "DM Mathematics" }
2, 17 Suppose j + 2*k = 2*j + 213, 2*k + 402 = -2*j. Let a = 321 + j. List the prime factors of a. 2, 29 Suppose 0 = 11*y - 53806 + 13711. What are the prime factors of y? 3, 5 Let p(t) = t**3 + 4 - t**2 - 3 + 5*t**2. Let c be p(-4). What are the prime factors of ((-35)/(-3))/(c/3)? 5, 7 Let m(a) = -a**3 + 9*a**2 - 14*a - 11. Let p be m(7). Let k = p + 41. List the prime factors of k. 2, 3, 5 Let u(n) = -4*n**3 - n**2 - 21*n - 31. List the prime factors of u(-6). 13, 71 Let s(i) = 4*i**3 + 8*i**2 - 2*i - 13. Let k(x) = -3*x**3 - 8*x**2 + 2*x + 12. Let n(q) = 5*k(q) + 4*s(q). Let z = 58 - 50. List the prime factors of n(z). 2, 3 Suppose 0 = -f + 3*f. Suppose f*l - 2*l = 24. Let d = -3 - l. What are the prime factors of d? 3 Let x(f) = 5*f - 6. Suppose 3*h - 18 = -3*u, 2*u = 2*h - 5*h + 14. What are the prime factors of x(u)? 2, 7 Suppose 4*w - 44 = -3*v, -15 = -4*w + 5*v - 3. Suppose 4*f + 0 = w. List the prime factors of f/(-10) - (-61)/5. 2, 3 Let a(r) = -3*r + 13 + 0*r - r. Suppose -5*z + 230 = 265. List the prime factors of a(z). 41 Let l = 99 - 94. Suppose -l*r + 116 + 694 = 0. What are the prime factors of r? 2, 3 Let d(z) = z**3 + 7*z**2 + z + 8. Suppose 32 = -4*j - 4*i, 4*j - i = j - 16. Let c be d(j). Let q = -21 + c. List the prime factors of q. 17 What are the prime factors of (-4)/(-10) - (-94458)/130? 727 Suppose 0 = x - 12 + 8, 2*x = 2*t - 1048. What are the prime factors of t? 2, 3, 11 Suppose 0 = -5*v + 4*m + 2348, -5*m - 1298 = -5*v + 1052. Suppose 17*c + v = 20*c. What are the prime factors of c? 2, 3, 13 Suppose b + 0*b - 968 = -5*o, -5*o = -5*b - 950. Suppose -32 = f - o. List the prime factors of f. 7, 23 Let k(t) = -2*t**2 - 28*t + 7. Let p be k(-15). Let m = 151 + p. What are the prime factors of m? 2 Let f(y) = y + 2. Let k be (1 + -2)/(1/2). Let w be f(k). Suppose w = 5*l - 117 - 173. What are the prime factors of l? 2, 29 Let l be (-114)/(-21) - (-3)/(-7). Suppose 3*h - h - l*t = 3, 5*h + 5*t = 25. Suppose -h + 26 = 2*y. List the prime factors of y. 11 Suppose 0 = l - 4, -2*l + 434 - 2686 = -2*x. List the prime factors of x. 2, 5, 113 Let c(f) = -4 - 2 - 3*f - 1 + 3. List the prime factors of c(-5). 11 Let y(f) = 4*f + 2. Let r = 7 + -10. Let k be y(r). What are the prime factors of (-104)/10*k/4? 2, 13 Suppose -162 + 1774 = a. Suppose -a = 9*v - 22*v. What are the prime factors of v? 2, 31 Let a(h) = -h**2 - 9*h - 4. Let i be a(-8). Suppose -4*q - 244 = -g + 2*g, -i*q = 3*g + 252. Let x = q - -88. What are the prime factors of x? 2, 7 Suppose 2819 - 13180 = -13*d. List the prime factors of d. 797 Suppose -25*z + 47*z = 13112. What are the prime factors of z? 2, 149 Let o(h) = -h - 5 + 9*h**2 - h**2 + 9. Let r be o(-4). Let v = -80 + r. What are the prime factors of v? 2, 7 Suppose 1448 = 4*y - 300. What are the prime factors of y? 19, 23 Let d(s) = -41*s**2 + 5*s - 5. Let n be d(2). Let r = n - -287. List the prime factors of r. 2 Let n be 2 + ((-1)/2)/(1/(-2)). Suppose -69 = -n*c + 138. What are the prime factors of c? 3, 23 Suppose 4*i - 10081 = 2*i + 5*r, 0 = 4*r - 20. List the prime factors of i. 31, 163 What are the prime factors of (-2409)/(-6) - (-154)/(-44)? 2, 199 Suppose -3*x + 5*l = 30 + 1912, -1924 = 3*x + 4*l. List the prime factors of 0 + 0 + x/(-7). 2, 23 Let q(l) = 18*l + 24. What are the prime factors of q(22)? 2, 3, 5, 7 Let l be (-77)/(-11) - (1 + -2 - -3). Suppose -t = -3*s - 6, 3*s + s = -l*t + 11. List the prime factors of t. 3 Suppose f - 3 + 6 = 0. Let o be (-1 - -1)/(-2) - f. What are the prime factors of 22/2 - (o + 0)? 2 Let c(g) = -6*g**2 - 265*g - 18. List the prime factors of c(-38). 2, 347 Let d = -5750 + 8576. What are the prime factors of d? 2, 3, 157 Let n(p) = 150*p**2 + 4*p + 7. List the prime factors of n(4). 2423 Let k = -2936 - -5261. List the prime factors of k. 3, 5, 31 Let f(n) = -234*n - 44. List the prime factors of f(-3). 2, 7, 47 Suppose -14*k = -25*k + 9504. List the prime factors of k. 2, 3 Let c = -11 - -18. Let d(a) = -a**2 + 9*a - 11. Let q be d(c). Suppose -2*t + 72 - 16 = -5*m, -m = q*t - 50. List the prime factors of t. 2, 3 Let c(o) = 1 + 0 - 31*o - 11 - 3. What are the prime factors of c(-6)? 173 Suppose -29856 = -27*k + 3*k. What are the prime factors of k? 2, 311 Let c(w) = -w**2 + 6*w - 8. Let r be c(4). Let h(n) = 83*n + 2. Let d be h(2). Suppose k + 3*k - d = r. List the prime factors of k. 2, 3, 7 Suppose 321 = -4*g - 3*t, 3*g + 2*t - 7*t + 219 = 0. Let j = -27 - g. What are the prime factors of j? 3, 17 Let h be (25/10)/(4/8). Suppose 3*m - z = 503, 0 = -2*m - 0*m - h*z + 341. List the prime factors of m. 2, 3, 7 Let i(s) = 35*s + 145. List the prime factors of i(4). 3, 5, 19 Let q(z) = -z**3 + 5. Let x be q(0). Suppose 6*c - 5*r - x = c, -4*r + 8 = 2*c. Suppose -3*p - 4*f = -161, p - c*p + f = -49. What are the prime factors of p? 3, 17 Suppose -5*m - 2*b + 14 = -3, -8 = 2*b. Suppose m*k + 3*z = -28 + 220, 3*k = 2*z + 100. List the prime factors of k. 2, 3 Let f(s) = 4*s + 7. Let w(q) = -q**2 + 11*q - 10. Let k be w(8). Suppose -5*x + 9 + k = 4*a, x = -2*a + 1. List the prime factors of f(x). 5, 7 Let f = 11 + 7. Let t = f + -12. Suppose -30 = -3*l + t. What are the prime factors of l? 2, 3 Let n(o) = -o - 2*o + 1 + 4*o**2 + o + 4*o. Let v be n(-1). Suppose -v*d = -20 - 19. List the prime factors of d. 13 Suppose 2*s - 3*s = 0. Suppose 15 = 9*c - 6*c. Suppose s = -c*p + 3*r - 8*r + 80, r = -4. What are the prime factors of p? 2, 5 Suppose 0 = -60*g + 103*g - 130505. What are the prime factors of g? 5, 607 Suppose 2*r + 27 = 5*y + 7, -3*r + y - 4 = 0. Suppose 4*m - 374 = -r*i - 5*i, 0 = i - 4*m - 94. List the prime factors of i. 2, 3, 13 Suppose 0*q + 3*c = 5*q - 26, -8 = -q + 2*c. Suppose i + 2*x = 13 - 1, -5*i + 32 = -q*x. Suppose 76 = i*j - 4*j. What are the prime factors of j? 19 Let i be 0/(-1) - (1 - 1). Suppose -3*p - 3*k = -30, -p + 3*p + 3*k - 23 = 0. List the prime factors of i + -2 + 42/p. 2 Let m(x) = 18*x + 37. Let v be m(-12). Let w = v + 298. List the prime factors of w. 7, 17 Let h be -2 + 1 + 13/((-39)/6). List the prime factors of 0 + h - (-63 - (-4)/4). 59 Let w = 35 + -15. Suppose 2*u = 5*v + u + w, -4*v - 16 = -4*u. List the prime factors of 9/(18/20) - v. 2, 7 Suppose -4*g = 5*i - 3223, -11*g + 9*g - 3211 = -5*i. List the prime factors of i. 643 What are the prime factors of -2 + 2 + (-18)/(-3) + -4? 2 Let o(s) = 2*s**2 + 3*s + 2. Let n be o(-8). Suppose 4*l - n = 14. List the prime factors of l. 2, 3, 5 Let i be (-47)/(1/27*-3). Suppose -2*d + i = -169. List the prime factors of d. 2, 37 Let s(x) = x**2 + x + 10. Suppose 5*i - n + 5 = -0*i, 5*i = -3*n + 15. List the prime factors of s(i). 2, 5 Let x(l) be the first derivative of l**3/3 - 5*l**2/2 - 4*l - 11. List the prime factors of x(6). 2 Let x be 43 - (2 + -1 - 2). Let r = 3 + -1. Suppose 4*l = 3*t + x, -r*t = -7*t - 20. List the prime factors of l. 2 What are the prime factors of (-6)/(-5)*(54915/(-6))/(-7)? 3, 523 Let m(s) be the second derivative of 2*s**3/3 + 27*s. What are the prime factors of m(9)? 2, 3 Suppose 0 = -8*f + 3*f + 10. Suppose 8*z - 630 = f*z. What are the prime factors of z? 3, 5, 7 Let u be (-2)/(1 + (-14)/12). Let h(p) = 3*p + 9. What are the prime factors of h(u)? 3, 5 Suppose -79*t + 75*t = 1516. Let x = t - -655. List the prime factors of x. 2, 3, 23 Suppose 16*i - 11*i - 645 = 0. Let f = -79 + i. What are the prime factors of f? 2, 5 Suppose -4*t + 2*n + 3*n = -85, t - 24 = 4*n. Let v = 36 - t. Suppose 3*i + 2*j + 1 = 0, -i - v = 2*i + 5*j. What are the prime factors of i? 3 Let x = 37 + -84. What are the prime factors of (1 - (0 + -1))/((-2)/x)? 47 What are the prime factors of -58*(5 - 75/10)? 5, 29 Let v = 10 + -41. Let t be -1 + (-1)/(1/v). Let a = t + 0. List the prime factors of a. 2, 3, 5 Let s(d) be the second derivative of -d**3/3 - 10*d**2 - 2*d. Let z be s(-10). Suppose 3*m + 4*b = 148, -2*m + 96 = -z*m + 2*b. List the prime factors of m. 2, 11 Suppose -2*n + 953 = -5*b + 246, 4*n + 5*b = 1399. List the prime factors of n. 3, 13 Let g(x) = -21*x - 8. List the prime factors of g(-5). 97 Let a = 14 - 14. Suppose 2*n - 3*p = -43, 0 = 3*p - a*p - 15. Let q = n - -40. What are the prime factors of q? 2, 13 Let c = 22 + -10. Suppose -n = 4*g -
{ "pile_set_name": "DM Mathematics" }
first derivative of f(q). What is the derivative of b(w) wrt w? -18*w**2 Let j(t) be the second derivative of -43*t**8/56 + 13*t**4/6 + 56*t. Find the third derivative of j(i) wrt i. -5160*i**3 Suppose c = -0*c - 5. Suppose 2 - 8 = -t. Let q(y) = 3*y - 5. Let b(p) = 3*p - 4. Let n(z) = c*q(z) + t*b(z). Differentiate n(g) wrt g. 3 Find the third derivative of 15*i**2 - 19*i**4 - 14*i**2 - 2*i**4 wrt i. -504*i Let m be (-4)/(-14) + (-48)/(-28). What is the third derivative of -4*p**m + 3*p**2 + 4*p**2 - 2*p**3 + p**3 wrt p? -6 Let k be (1 - 0)*(-1 - -3). Find the second derivative of 2*n + 4*n + k*n**5 - 6*n + 6*n wrt n. 40*n**3 Let p(x) be the first derivative of -8 + 0*x - 8/3*x**3 - 2*x**2. Find the second derivative of p(l) wrt l. -16 Suppose 5*w + 25 = 2*j + 3*j, 0 = 3*w + 6. What is the second derivative of -28*k**j + 5*k + 28*k**3 - 8*k**4 wrt k? -96*k**2 Let m(f) = 35*f - 4. Let v(n) = -n. Let s(r) = m(r) - 3*v(r). What is the first derivative of s(q) wrt q? 38 Differentiate -2 + 3*w - 5*w - 3*w - 4 with respect to w. -5 Let i(p) be the second derivative of -2*p**4/3 - 3*p**2/2 + 3*p. Find the first derivative of i(n) wrt n. -16*n What is the third derivative of 0*j + 0*j - 4*j**6 - 23*j**2 + 20*j**2 wrt j? -480*j**3 Suppose -5*f = 2*a + 4, -4*f = -7*f - 6. What is the derivative of -2*j - 4*j**a - 2 - j + 3*j wrt j? -12*j**2 Let u be ((-2)/6)/(1/(-27)). Let w be ((-33)/u)/((-2)/6). What is the third derivative of 11*g - g**2 - w*g + 2*g**6 wrt g? 240*g**3 Suppose 0 = -3*n + 21 - 15. Let t(j) be the second derivative of 1/6*j**4 + 0*j**3 + 1/10*j**5 + 0 + 0*j**n + 2*j. What is the third derivative of t(q) wrt q? 12 Suppose 8 = -2*r + r. Let c = r + 11. Differentiate -1 + 2 - c - 2*f**4 with respect to f. -8*f**3 Let v(i) be the first derivative of 2 + 5/2*i**2 + 3*i. Let s(f) = -6*f - 4. Let m(q) = -2*s(q) - 3*v(q). Differentiate m(b) wrt b. -3 Suppose z = -4*g - 11, -2*g - 2 = z - g. Suppose 3*t + 5*m = -t + 23, 0 = t + m - 5. Differentiate -k - z + 3*k**t + k wrt k. 6*k Let t = -8 - -12. Suppose 2*d - 24 = -t*v, -2*d + 7*v - 3*v - 16 = 0. What is the second derivative of k**2 + k - 2*k**d + k wrt k? -2 Suppose -2*a + 1 = -3. Differentiate -a + 1 + p + p - 3*p with respect to p. -1 Find the third derivative of -4*c**2 + 4*c**5 + 5 + 7*c**5 - 5 wrt c. 660*c**2 Let m(r) be the first derivative of -25*r**6/6 + 8*r**3/3 + 20. Find the third derivative of m(v) wrt v. -1500*v**2 What is the derivative of -21*z - 7 - 12 + 36 wrt z? -21 Let a(y) = -y**3 + 8*y**2 - 8*y + 8. Let u be a(7). Find the first derivative of 0 + 2 - u - 3 - 2*g**2 wrt g. -4*g Let n(f) be the second derivative of -f**6/30 - 3*f**5/20 - f**4/3 + 3*f**2/2 - 2*f + 7. Find the third derivative of n(p) wrt p. -24*p - 18 Let k be 3 - (-3 - -2)*1. Suppose -k*s = -3*d + 4 + 16, -5*d + 14 = 3*s. Find the second derivative of -2*r**4 - 2*r**d + 2*r + 3*r**4 wrt r. -12*r**2 Differentiate -4 + 9*j - 2*j + 2 wrt j. 7 Let y(u) = 6*u - 1. Suppose 3*h = 0, -4*w + 5*w - 5*h - 1 = 0. Let n be y(w). Find the third derivative of 2*m**3 + 2*m**2 + m**n - 2*m**3 wrt m. 60*m**2 Find the second derivative of 50*c**5 - 3*c - 14*c - 5*c - 26*c**5 wrt c. 480*c**3 Let v(d) = d. Let k(l) = 4*l - 5. Suppose -3*r = -5*i - 6, -i - 2*r = 3*i + 18. Let t(y) = i*v(y) - k(y). What is the derivative of t(z) wrt z? -7 What is the second derivative of -25*d**3 + 53*d**3 + 3*d - 25*d**3 wrt d? 18*d Let t(n) be the first derivative of -29*n**5/5 - 4*n - 34. Find the first derivative of t(b) wrt b. -116*b**3 Let z = 3 + 10. What is the derivative of -2*x - 9 + z - 2*x - 5*x wrt x? -9 Let z(h) = 14*h**4 - 6*h**3 + 6*h**2 - 6*h + 7. Let v(b) = -b**4 - b**3 + b**2 - b + 1. Let r(x) = 6*v(x) - z(x). What is the first derivative of r(t) wrt t? -80*t**3 Suppose -4*t + 6 + 6 = 0. Suppose -5*g = -t*g - 6. Find the third derivative of -2*l**2 + l**2 - l**2 - l**g wrt l. -6 Suppose 0 = -5*k + z + 9, -4*k + 6 = -3*z + z. What is the first derivative of x**k + 15*x + 1 - 15*x wrt x? 2*x Let f(n) be the first derivative of -n**7/70 - n**3/2 + 2*n**2 - 5. Let g(t) be the second derivative of f(t). What is the first derivative of g(c) wrt c? -12*c**3 Let i be (-1925)/(-14)*12/15. Find the second derivative of i*f**4 - 4*f**5 - 110*f**4 - 2*f wrt f. -80*f**3 Let n(h) = -18*h**2 - 13*h - 25. Let m(z) be the first derivative of 3*z**3 + 3*z**2 + 12*z - 4. Let p(s) = 13*m(s) + 6*n(s). Differentiate p(k) wrt k. 18*k Find the second derivative of 7*u**5 - 36*u - 2*u**5 + 30*u wrt u. 100*u**3 Let p(b) be the second derivative of 4*b**6/15 + 4*b**2 + 3*b. What is the derivative of p(u) wrt u? 32*u**3 Let w = 3 - 3. Let f(k) be the second derivative of -3/2*k**2 + w*k**4 - k + 0*k**3 + 1/20*k**5 + 0. What is the first derivative of f(o) wrt o? 3*o**2 Let j(v) be the second derivative of 4/3*v**3 + 0*v**2 - 3/10*v**5 + 0*v**4 + 5*v + 0. What is the second derivative of j(u) wrt u? -36*u Find the first derivative of -7 + 2*g**2 + 9*g**2 + 6 wrt g. 22*g Suppose 8*w - 3*w = 4*d - 6, 0 = -3*w + 6. Find the first derivative of 10 + 2*c**3 - 2*c**3 + c**d wrt c. 4*c**3 Let w(c) = -c**5 - c**4 + c**2. Let y(k) = -15*k**5 - 5*k**4 + 20*k**2. Let s(o) = -5*w(o) + y(o). Find the third derivative of s(p) wrt p. -600*p**2 Find the third derivative of 31*i**2 + 6*i**5 - 77*i**2 + 37*i**2 wrt i. 360*i**2 Let w(v) = v**2 - v + 1. Let s(x) = 5*x**2 + 4*x - 17. Let h(t) = -s(t) - 4*w(t). Find the first derivative of h(d) wrt d. -18*d Let f(q) be the first derivative of -19*q**4/2 + 31*q + 37. What is the derivative of f(x) wrt x? -114*x**2 Let t(b) = b**3 + 4*b**2 - 4*b + 6. Let i be t(-5). What is the first derivative of -i - 2 - 2*u + u + 2*u wrt u? 1 Let a = -3 + 3. Find the third derivative of -s**4 + 2*s**4 - 3*s**2 + a*s**2 wrt s. 24*s Let u(i) be the third derivative of i**8/56 + 3*i**4/4 + 21*i**2. What is the second derivative of u(w) wrt w? 120*w**3 Let q(z) = -189*z**3 + 9. Let r(n) = 19*n**3 - 1. Let u(y) = 2*q(y) + 21*r(y). Differentiate u(p) with respect to p. 63*p**2 Let p(h) be the third derivative of h**7/30 + 2*h**3/3 - 6*h**2. Differentiate p(z) with respect to z. 28*z**3 Let b(u) be the first derivative of u**7/420 - u**5/120 + 2*u**3/3 - 3. Let c(m) be the third derivative of b(m). Find the second derivative of c(n) wrt n. 12*n Let s = -83/10 - -49/5. Let t(l) be the second derivative of 0 - 1/10*l**5 + 0*l**4 + 0*l**3 + 4*l + s*l**2. What is the first derivative of t(a) wrt a? -6*a**2 Let q(x) be the first derivative of -5*x**7/42 + x**3/3 - 4*x + 3. Let t(s) be the first derivative of q(s). Find the second derivative of t(o) wrt o. -100*o**3 Let z(k) be the second derivative of k**5/5 - k**3/2 + 5*k. What is the second derivative of z(d) wrt d? 24*d Let f be -1*((-14)/4 + 3). Let s(g) be the first derivative of -1 - g - f*g**2. What is the derivative of s(u) wrt u? -1 Let z(y) be the third derivative of y**6/40 - y**5/10 - 5*y**2. Find the third derivative of z(s) wrt s. 18 Let n(q) = 17*q**5 - 11*q**2 + 24*q - 11. Let g(d) = -9*d**5 + 6*d**2 - 12*d + 6. Let i(w) = -11*g(w) - 6*n(w). What is the second derivative of i(u) wrt u? -60*u**3 Let q(a) be the second derivative of a**6/60 + 5*a**4/24 + 3*a**2/2 - 5*a. Let y(m) be the first derivative of q(m). Find the second derivative of y(g) wrt g. 12*g Find the second derivative of 475*l + 59*l**3 - l**2 + l**2 - 524*l wrt l. 354*l Suppose 0 = -5*a + 5*q, 3*a + 0*a = -3*q + 24. Find the third derivative of -p**4 + 7*p**a - p**2 - 3*p**4 + 4*p**2 wrt p. 72*p Suppose -5*p = -2*r - 7 - 20, 3*p - 17 = 2*r. Let c be -4*-2*(-3)/(-12). What is the third derivative of f**p + 3*f**c - 3*f**2 + f**2 wrt f? 60*f**2 Let i(c) = -c + 1. Let q be i(-1). What is the third derivative of s**5 - s**q + 2*s**2 + 2*s**4 - 2*s**4 wrt s? 60*s**2 Let m(b) be the second derivative of -b**7/420 + b**4/24 - b**3/6 + b. Let l(u) be the second derivative of m(u). Differentiate l(y) wrt y. -6*y**2 Let u(r) = 2*r - 4. Let f be u(3). Let d(i) = i**3 + 4*i**2 - i - 2. Let x be d(-4). Find the second derivative of 2*w**2 + 2 + x*w - f wrt w. 4 Let i = -32 + 38. Let j(f) be the second derivative of 0*f**2 + 0*f**5 + f + 0 - 1/3*f**3 + 1/15*f**i + 0*f**4. What is the second derivative of j(h) wrt h? 24*h**2 Let o(l)
{ "pile_set_name": "DM Mathematics" }
84 and 308632216? 184 What is the greatest common divisor of 75043643 and 215? 43 What is the highest common factor of 81 and 40718583? 9 What is the greatest common factor of 2053415 and 14? 7 Calculate the highest common divisor of 397615 and 380635. 1415 Calculate the greatest common divisor of 1191806 and 8459. 11 Calculate the greatest common factor of 1031379 and 23187. 177 Calculate the highest common factor of 156655 and 661249. 1649 Calculate the greatest common divisor of 6768502 and 3744. 26 What is the highest common divisor of 17592232 and 5946? 1982 What is the highest common divisor of 77925 and 76886? 1039 Calculate the highest common factor of 14014 and 607331725. 7007 What is the highest common divisor of 3280 and 1602400? 80 Calculate the highest common divisor of 196430265 and 3810. 1905 What is the highest common factor of 81892 and 2392745? 59 What is the greatest common divisor of 2558700 and 3816? 36 Calculate the greatest common factor of 48545 and 294736113. 9709 Calculate the highest common divisor of 54824 and 4129244. 2492 Calculate the greatest common factor of 40155792 and 736. 368 Calculate the highest common factor of 377304 and 316632. 1896 Calculate the greatest common divisor of 2564248 and 3996. 148 Calculate the greatest common divisor of 758193879 and 19. 19 Calculate the highest common divisor of 7176 and 8288952. 24 What is the highest common divisor of 11347099 and 35981? 3271 Calculate the highest common factor of 4843800428 and 3092. 3092 Calculate the greatest common factor of 2107512 and 19008. 2376 What is the highest common factor of 3168 and 1960200? 792 What is the highest common divisor of 13020 and 2037? 21 Calculate the greatest common factor of 3052163 and 5587. 151 What is the greatest common factor of 7023948 and 21684? 1668 What is the highest common factor of 48276 and 1925080? 596 Calculate the greatest common divisor of 66992 and 121264. 848 What is the greatest common factor of 11286 and 1101122? 22 Calculate the highest common divisor of 7791509 and 368869. 2263 Calculate the highest common divisor of 30783 and 1367007. 93 What is the greatest common factor of 147 and 7799316? 21 What is the highest common divisor of 80927129 and 3062? 1531 What is the greatest common factor of 11 and 19103907? 1 What is the greatest common factor of 37238211 and 6885? 1377 What is the highest common divisor of 7830 and 61393? 29 What is the highest common divisor of 2434363 and 119439? 577 What is the greatest common divisor of 528583 and 1160? 29 Calculate the highest common divisor of 959 and 1461. 1 Calculate the greatest common divisor of 319146 and 5138498. 2474 Calculate the greatest common divisor of 78105 and 31980. 615 What is the highest common factor of 1410 and 6896028? 282 What is the highest common divisor of 96492 and 83589? 561 Calculate the highest common divisor of 46 and 90622714. 46 What is the highest common factor of 99020383 and 14? 7 Calculate the highest common divisor of 2352978 and 270729. 333 Calculate the greatest common divisor of 252 and 67846198. 14 Calculate the highest common divisor of 2317219 and 4743. 527 What is the greatest common factor of 528 and 122172688? 176 What is the greatest common factor of 2425 and 113878? 97 Calculate the greatest common divisor of 3888320 and 1015. 145 Calculate the greatest common factor of 219 and 260666502. 219 Calculate the highest common factor of 25 and 42184325. 25 Calculate the greatest common factor of 2975 and 94492375. 425 What is the highest common divisor of 8414 and 2397389? 601 What is the highest common divisor of 71980870 and 130? 130 Calculate the highest common factor of 48 and 161472656. 16 What is the highest common factor of 109800648 and 193546? 6674 What is the greatest common divisor of 211926 and 3522? 6 Calculate the greatest common divisor of 439872 and 156. 12 What is the highest common factor of 150155 and 198510? 2545 What is the greatest common divisor of 122 and 3650? 2 Calculate the greatest common factor of 153282 and 13639500. 2598 What is the highest common factor of 37698 and 217948? 206 Calculate the highest common divisor of 14385199 and 1. 1 Calculate the greatest common factor of 25356253 and 7267. 169 Calculate the highest common factor of 96609 and 21. 3 Calculate the highest common factor of 3088 and 50609618. 386 What is the highest common divisor of 6104682 and 198543? 687 Calculate the greatest common factor of 147951 and 6949829. 967 Calculate the greatest common divisor of 2894254 and 1086580. 9878 Calculate the greatest common factor of 21344 and 36968. 8 Calculate the greatest common factor of 98674851 and 34. 17 What is the highest common divisor of 633190 and 26680? 230 What is the greatest common divisor of 1873745 and 90871? 751 What is the highest common divisor of 104630196 and 369? 123 What is the highest common divisor of 39460 and 235763635? 9865 What is the greatest common divisor of 4995929 and 62? 31 What is the highest common factor of 16478 and 13375642? 1498 Calculate the highest common factor of 3040531855 and 6715. 6715 What is the highest common factor of 562626 and 15251? 151 Calculate the highest common factor of 7672550 and 52592. 346 What is the highest common factor of 37918583 and 103247? 4489 What is the highest common divisor of 2860386 and 71978? 986 What is the greatest common factor of 50 and 13623250? 50 What is the highest common factor of 17633484 and 4158? 594 What is the highest common divisor of 137428 and 1224? 68 What is the highest common factor of 562118461 and 13934? 6967 Calculate the highest common factor of 910637 and 5824. 91 Calculate the greatest common factor of 1891 and 80570519. 31 Calculate the greatest common divisor of 54104576 and 48. 16 What is the highest common divisor of 115 and 229638785? 115 What is the greatest common divisor of 54 and 489731967? 27 What is the greatest common divisor of 154105622 and 542960? 13574 What is the highest common divisor of 4122350 and 5800? 1450 Calculate the greatest common divisor of 12883595 and 30. 5 Calculate the greatest common factor of 196290595 and 3595. 3595 What is the highest common factor of 92 and 29117310? 46 Calculate the highest common divisor of 778601 and 32402. 953 Calculate the greatest common factor of 12274 and 1182826. 646 What is the greatest common divisor of 27010 and 277765? 365 What is the greatest common factor of 7060 and 1032402156? 1412 What is the greatest common divisor of 11378 and 3141? 1 Calculate the highest common divisor of 816366 and 402498. 2274 What is the highest common divisor of 67418291 and 9687? 3229 Calculate the greatest common divisor of 15 and 1576293. 3 What is the highest common factor of 428 and 31412? 4 What is the highest common factor of 235899840 and 352? 352 Calculate the greatest common factor of 485002 and 686. 686 Calculate the greatest common divisor of 17724 and 608454. 42 What is the highest common factor of 33216 and 147648? 192 Calculate the highest common factor of 186632 and 6619696. 328 Calculate the greatest common divisor of 2366367 and 48. 3 What is the highest common factor of 21658007 and 1946? 973 What is the greatest common divisor of 7525378 and 2870? 14 What is the greatest common divisor of 75 and 1370185? 5 What is the highest common factor of 1021146 and 217? 7 Calculate the highest common divisor of 58 and 747891440. 58 Calculate the greatest common factor of 188061183 and 14418. 7209 Calculate the greatest common divisor of 6675900 and 561. 561 What is the highest common divisor of 16 and 57173216? 16 Calculate the highest common factor of 10299 and 49488. 3 What is the greatest common factor of 22612888 and 21204? 2356 Calculate the highest common factor of 10068 and 47364. 12 What is the greatest common factor of 14 and 44854747? 7 What is the highest common divisor of 1026314255 and 205? 205 What is the greatest common factor of 108358356 and 21936? 5484 Calculate the greatest common divisor of 115 and 131603171. 23 What is the highest common divisor of 3319558677 and 387? 387 Calculate the greatest common divisor of 764959 and 163. 163 Calculate the highest common factor of 418 and 1297586. 38 Calc
{ "pile_set_name": "DM Mathematics" }
q + l*x, 2*q - 151 = -5*x. Does 21 divide q? True Let y = -22 + 20. Let d(g) = g**3 + 5*g**2 + 2. Let t be d(-5). Is 15 a factor of t*((-81)/y)/3? False Let p = -89 - -252. Suppose -5*o + p + 92 = 0. Is o a multiple of 17? True Suppose -2*j - 3*j = -45. Let w be 3/j + 8/3. Suppose -2*z = w*z - 25. Is 4 a factor of z? False Let s(p) = -30*p**3 + 3*p**2 + 2*p - 6. Is 25 a factor of s(-3)? True Suppose -3*t - 2*h + 96 = -t, 42 = t - h. Let a = -8 + t. Is 17 a factor of a? False Let y = 7698 - 4279. Is 13 a factor of y? True Let f = 45 - -307. Suppose -5*d + d = -f. Does 24 divide d? False Suppose 2*l + 10 = 586. Is 24 a factor of l? True Suppose 25 = -5*a, 2*a + 19 = -y - 14. Let o = 41 + y. Is o a multiple of 6? True Let d(u) = -u**2 + 23*u - 4. Suppose 4*n + 0*a + a = 63, 3*a + 15 = 0. Is 14 a factor of d(n)? True Let h be (-3 - -36)/(-3) - 1. Let c(y) = -5*y - 11. Is c(h) a multiple of 16? False Let m(r) = 4*r + 31. Let q be m(-7). Suppose x + 4*k - 5 = 0, q*k = k - 8. Is x a multiple of 7? True Let o = -84 - -14. Let y = o + 132. Is y a multiple of 31? True Let d(n) = 7*n**2 - 14*n - 360. Is d(-12) a multiple of 34? True Let k be 3 - (1 + 8 + 0/(-1)). Does 2 divide 29 + ((-3)/(-1) + k - -5)? False Let f = 3 + -3. Is 10 a factor of (-22)/(-10)*(f + 5)? False Does 49 divide 2356 - (6 + -17) - 6/3? False Let l be (5 + -2 + -4)*-121. Suppose 0 = -s + 2*s - l. Is 11 a factor of s? True Let k be (-3 - -2)*14/2. Let p = -4 - k. Suppose -3*o + s = -136, o + p*s - 177 = -3*o. Is 15 a factor of o? True Let h(n) = -12*n - 25. Let d be h(9). Let j = 283 + d. Does 23 divide j? False Let u(v) be the second derivative of 7*v**4/4 - v**2/2 - 11*v + 3. Let x = -2 + 3. Does 20 divide u(x)? True Is 14 a factor of (7866/(-27) - -2)/((-2)/3)? True Let y(n) = 30*n**2 - 18*n - 14. Does 16 divide y(6)? False Let o = 498 - -933. Is 14 a factor of o? False Let m = 3957 - 2683. Is m a multiple of 14? True Suppose 2*d - 4*k = -25 + 5, -3*k = -9. Let p(a) = -a**3 - 3*a**2 + 2*a - 4. Let n be p(d). Suppose 0*t - n*t - l + 37 = 0, 4*l + 5 = t. Is t a multiple of 5? False Let r be (-2)/(-10) - 7495/(-25). Suppose 2*u - 8*u = -r. Is 18 a factor of u? False Let g(t) = 2*t**2 - 8*t + 18. Let s be g(4). Let k = 29 - s. Is 4 a factor of k? False Let j be (-3 - 0)/3 - -566. Suppose -2*f = 5*b + j, -f + 2*b = -89 + 385. Is 6 a factor of f/(-14) + (-2)/(-7)? False Let d = -58 - -228. Is d a multiple of 34? True Let b(w) = 3*w + 50. Let f be b(11). Let q = -11 + 56. Let o = f - q. Is o a multiple of 27? False Let z(a) = 6*a**3 - a**2 + 4*a + 5. Is z(4) a multiple of 63? False Is 5 a factor of (3545/(-20) - -6)/(1/(-4))? True Suppose -4*v + 86 = -3*f - 235, v - 2*f = 79. Suppose 3*r = -5*l + v, 45 = 2*l - 2*r - r. Does 9 divide l? True Let p = -30 - -53. Let h = -62 + p. Let r = -17 - h. Is r a multiple of 15? False Suppose 4*z + 2*z = 816. Let m = -71 + z. Does 13 divide m? True Let u(a) = 739*a + 10. Let c be u(10). Let j be c/14 - (-24)/(-42). Is 11 a factor of (1/4)/(12/j)? True Let m = 7 - 4. Suppose 30 + 0 = m*r. Does 12 divide ((-52)/(-8) - 1)*r? False Let k = 110 - 40. Is k a multiple of 13? False Suppose 3*x = 19 + 5. Does 42 divide (3/(-6))/(x/(-1808))? False Let y = 507 + -199. Suppose -5*t = h - 356, 0*t = 4*t - 5*h - y. Is 16 a factor of t? False Let t = -1128 + 2316. Is 108 a factor of t? True Suppose 300 = 8*x - 7*x. Suppose -44*v = -39*v - x. Is v a multiple of 19? False Let x(o) = 15*o**3 + 2*o**2 + 2*o + 11. Is x(3) a multiple of 55? True Suppose 32 = 2*v - 32. Does 21 divide (v - 8)*(-4)/(12/(-7))? False Is 9 a factor of 192 + -1 + 6 + 4? False Let m(k) = k + 4. Let a be m(0). Suppose -4*u = 5*f - 22, -a*u + 0*f = -4*f - 4. Suppose -u*q + 50 = 2*q. Is q a multiple of 5? True Let p be (0/(-1) - 0) + 8. Suppose 16 = -4*i + p*i. Suppose -m + 5*j = -41, i*m - 2*j = 2*j + 116. Is m a multiple of 13? True Let g = 4 + -11. Let n = g - 15. Let i = 5 - n. Does 22 divide i? False Let x = -873 - -1368. Is 15 a factor of x? True Let l(t) = 20*t**2 + 2*t + 4. Suppose -2 = v - 4*u - 1, u - 2 = 0. Let b = v + -9. Does 16 divide l(b)? True Suppose -189 = -2*x + 193. Suppose 3*o - x = -2*o - t, t = 3*o - 121. Let i = o + 9. Does 10 divide i? False Suppose -3*o - 23 = 4. Let f(q) = -q**2 - 8*q + 11. Let n be f(o). Is (60/(6/n))/1 a multiple of 6? False Let k(z) = -z**3 - 3*z**2 + 6*z + 6. Let i be k(-5). Suppose -29*x = -i*x - 102. Is 34 a factor of x? True Let a be 4/8*2 + -1. Suppose 5*c + 4*n - 2*n = 74, 3*c - 4*n = 60. Suppose a = 3*h - 154 + c. Is h a multiple of 6? False Let n(b) = -349*b - 85. Does 19 divide n(-4)? True Let y(g) = 8*g**2 + 2*g + 1. Let o be y(-1). Suppose 3*u - o*u + 4 = 0. Suppose -4*d = 2*f - 18, -2*f - 10 = -5*d - u. Does 3 divide f? True Let a = -1551 + 2801. Is a a multiple of 50? True Let t(o) = -2*o - 13. Let r be t(-9). Suppose -5*k + r*u + 1100 = 0, k + 4*u = 273 - 73. Is 17 a factor of k? False Let b = 21 - 13. Suppose b - 120 = -d. Does 14 divide d? True Let d = 157 - 61. Let r = 164 - d. Suppose -3*h - n + r = 0, -3*n - 3 = 9. Is h a multiple of 24? True Suppose -4 = 3*k - 2*k. Let y be 5103/12 + (-3)/k. Suppose -3*w - 3*w + y = 0. Is 13 a factor of w? False Let d(y) be the first derivative of y**4/4 + 2*y**3 - 4*y**2 + 8*y + 13. Does 5 divide d(-7)? True Let h be (6 - (5 + -1)) + 9. Let s(l) = l - 4 + 6 - h*l + 9 + l**2. Does 2 divide s(9)? True Let t(k) = 3*k**3 - 5*k**2 + 4*k. Let n = -9 - -11. Suppose 4*a - 23 = -r, 0 = r + n*r - 5*a + 16. Does 8 divide t(r)? True Let c(h) be the first derivative of -h**2/2 + 14*h + 3. Let p be c(10). Is 14 a factor of p*((-210)/8)/(-5)? False Let y be (-1 - 7) + (-2 + 2)/(-2). Is (-237)/y - (-39)/104 a multiple of 5? True Is (1216/(-190))/(2/(-330)) a multiple of 44? True Suppose 5*s = 407 + 753. Does 5 divide s? False Suppose -3*f + 71 = -3*d - d, 0 = -3*d + f - 52. Let p(a) = -12*a + 8. Let v(w) = 37*w - 23. Let x(n) = d*p(n) - 6*v(n). Does 17 divide x(-2)? False Suppose -19 + 91 = 3*z. Let u = z - 10. Does 14 divide u? True Let l(f) = f**2 - 4*f + 6. Let r(w) = 5*w**2. Let h be r(-1). Let j = h - 9. Is l(j) a multiple of 16? False Suppose 4*n - 3222 = -2*i, n - 4026 = -4*n - 2*i. Is 67 a factor of n? True Let o = 250 - 23. Is 4 a factor of o? False Let f(c) = -10*c - 22. Suppose -2*s - s - 55 = 4*b, -4*s - 5*b = 72. Is 18 a factor of f(s)? True Let y = -11 - -8. Let z be (-1)/y*0 - -2. Suppose c = z*c - 54. Does 15 divide c? False Let n be 264/42 + -2 + 4/(-14). Suppose -17 = 5*r + n*x - 108, r = -3*x + 27. Is 11 a factor of r? False Suppose c = 3*t + 2*t - 228, 5*c = 10. Let o = t + -33. Suppose -4 + o = g. Is g a multiple of 9? True Suppose -2*s + 3*y = 228 - 909, -3*s + 5*y = -1021. Let h = s + -180. Is h a multiple of 18? True Is ((-8)/5)/((-7)/2730) a multiple of 20? False Let r be (-30)/(-18)*(-12)/(-10). Suppose -5*d + 4*z + 1486 = 0, -3*d - r*z + 6*z + 898 = 0. Does 26 divide d? False Let d(g) = 8*g**2 + 2*g + 3. Let p be (-6)/(-4)*24/18. Suppose -14 = -p*h - 2*l, 2*h = -3*l - l + 22. Is 27 a factor of d(h)? True Let t(f) = -f**2 + f + 3. Let h be t(0). Suppose 7*q = h*q. Suppose 3*z + 0*z - 216 = q. Does 24 divide z? True Let x(f) be the second derivative of -f**5/20 + 3*f**4/4 + 7*f**3/3 - 16*f. Does 8 divide x(10)? True Let c be ((-1)/(-2))/((-1)/32). Let g = 29 + c. Suppose m = g + 26. Is 16 a factor of m? False Suppose -144*h + 8766 = -126*h. Is 40 a factor of h? False Suppose r = -4*i - 33, -2*i = 3*i. Let w = r - -90. Does 19 divide w? True Suppose -8*q = -455 - 41. Let z = q - 34. Is 7 a factor of z? True Let b = 92 + 224. Is b a multiple of 28? False Let a = -147 + 387. Let y = -147 + a. Suppose 129 + y = 6*k. Is k a multiple of 8? False Let h(k) = k**2. Suppose 9*b = 16 + 11. Let y(p) = -p**3 - 18*p**2 + 16*p + 16. Let w(n) = b*h(n) + y(n). Is w(-16) a multiple of 5? False Suppose -5*f = 4*p - 1812, 3*p + 648 + 450 = 3*f. Does 7 divide f? True Suppose x - 5*j - 1909 = 0, 4*x - 23*j = -22*j + 7636. Is 83 a factor of x? True Let w(f) = 3*f**2 + 4 - 2*f**3 - 9*f**2 + 0 + f + f**3. Let t be w(-6). Is 5 a factor of (64/(-20))/(t/15)? False Suppose -3*c = -5 - 94. Is c a multiple of 5? False Let f(s) = 3*s**2 + 7*s - 17. Let t(n) = n**2 + 4*n - 6. Let z(q) = 3*f(q) - 8*t(q). Let w(p) = -p*
{ "pile_set_name": "DM Mathematics" }
millions digit of 256102878? 2 What is the thousands digit of 300530207? 0 What is the millions digit of 280540032? 0 What is the ten millions digit of 84125549? 8 What is the hundred millions digit of 886440105? 8 What is the ten millions digit of 87015417? 8 What is the ten millions digit of 822117384? 2 What is the tens digit of 5143859? 5 What is the units digit of 706855983? 3 What is the hundreds digit of 26090278? 2 What is the ten thousands digit of 481842166? 4 What is the ten millions digit of 99714772? 9 What is the tens digit of 976873302? 0 What is the billions digit of 2076367157? 2 What is the thousands digit of 172947269? 7 What is the units digit of 295205753? 3 What is the thousands digit of 358167541? 7 What is the hundred thousands digit of 506852436? 8 What is the hundred millions digit of 307053860? 3 What is the hundreds digit of 753224075? 0 What is the millions digit of 73470277? 3 What is the units digit of 244082903? 3 What is the hundred thousands digit of 184958988? 9 What is the millions digit of 430042744? 0 What is the hundred thousands digit of 7105246887? 2 What is the hundred thousands digit of 21872286? 8 What is the tens digit of 3488731170? 7 What is the ten millions digit of 54637398? 5 What is the thousands digit of 2939249442? 9 What is the hundreds digit of 2965268612? 6 What is the ten thousands digit of 1044394218? 9 What is the ten millions digit of 1116803663? 1 What is the hundreds digit of 21165889? 8 What is the units digit of 5708140? 0 What is the hundred thousands digit of 34480118? 4 What is the hundred millions digit of 7441352461? 4 What is the thousands digit of 2811575916? 5 What is the units digit of 1787978234? 4 What is the hundred millions digit of 1253134285? 2 What is the millions digit of 873557280? 3 What is the ten thousands digit of 594337906? 3 What is the hundreds digit of 830470691? 6 What is the units digit of 38115106? 6 What is the tens digit of 68822728? 2 What is the hundreds digit of 28221396? 3 What is the ten thousands digit of 221385461? 8 What is the hundred thousands digit of 429431646? 4 What is the ten thousands digit of 110495622? 9 What is the ten millions digit of 126203766? 2 What is the hundred thousands digit of 13923332? 9 What is the hundred thousands digit of 273025913? 0 What is the billions digit of 1246808732? 1 What is the hundred millions digit of 149445135? 1 What is the hundreds digit of 139594450? 4 What is the hundred thousands digit of 260354190? 3 What is the ten thousands digit of 142895265? 9 What is the millions digit of 225528417? 5 What is the thousands digit of 142805026? 5 What is the ten millions digit of 891788276? 9 What is the millions digit of 205282800? 5 What is the units digit of 18032730? 0 What is the hundred thousands digit of 70063891? 0 What is the hundred millions digit of 432959636? 4 What is the ten thousands digit of 522546240? 4 What is the millions digit of 2957376726? 7 What is the ten millions digit of 2177798295? 7 What is the thousands digit of 183002236? 2 What is the millions digit of 50727363? 0 What is the ten millions digit of 15350337? 1 What is the units digit of 690505433? 3 What is the hundred thousands digit of 28190245? 1 What is the billions digit of 3790789829? 3 What is the ten millions digit of 38649958? 3 What is the hundreds digit of 3940127? 1 What is the millions digit of 51018835? 1 What is the ten thousands digit of 763231427? 3 What is the thousands digit of 83966573? 6 What is the tens digit of 370963296? 9 What is the hundred millions digit of 300462649? 3 What is the units digit of 62167602? 2 What is the hundred thousands digit of 32594381? 5 What is the ten millions digit of 27784758? 2 What is the ten millions digit of 68946738? 6 What is the ten millions digit of 468989354? 6 What is the thousands digit of 27463347? 3 What is the millions digit of 505988804? 5 What is the billions digit of 2076212913? 2 What is the hundred millions digit of 4861722259? 8 What is the tens digit of 258328063? 6 What is the thousands digit of 2971311137? 1 What is the tens digit of 129842922? 2 What is the tens digit of 253535647? 4 What is the thousands digit of 5341259652? 9 What is the thousands digit of 56923708? 3 What is the tens digit of 160802678? 7 What is the ten millions digit of 6038121174? 3 What is the billions digit of 6486924505? 6 What is the millions digit of 70143754? 0 What is the units digit of 388671469? 9 What is the hundreds digit of 105061514? 5 What is the hundred millions digit of 549626839? 5 What is the thousands digit of 34186764? 6 What is the millions digit of 217793147? 7 What is the hundred thousands digit of 2844601644? 6 What is the units digit of 74303260? 0 What is the tens digit of 299694446? 4 What is the thousands digit of 70803? 0 What is the hundred millions digit of 1409096173? 4 What is the ten thousands digit of 868578206? 7 What is the thousands digit of 83793119? 3 What is the hundred thousands digit of 3209844726? 8 What is the hundreds digit of 257789286? 2 What is the millions digit of 7077697531? 7 What is the hundred thousands digit of 269267228? 2 What is the ten millions digit of 377622091? 7 What is the units digit of 237564746? 6 What is the units digit of 138638954? 4 What is the units digit of 146000657? 7 What is the hundred millions digit of 204279669? 2 What is the tens digit of 331963583? 8 What is the ten millions digit of 133078864? 3 What is the hundred thousands digit of 90581394? 5 What is the ten thousands digit of 499609035? 0 What is the hundred thousands digit of 3819815500? 8 What is the units digit of 68183188? 8 What is the ten millions digit of 32534970? 3 What is the ten thousands digit of 850312329? 1 What is the tens digit of 2568116957? 5 What is the thousands digit of 2994605? 4 What is the ten millions digit of 26688288? 2 What is the ten thousands digit of 145178094? 7 What is the hundred millions digit of 1239044877? 2 What is the tens digit of 218270323? 2 What is the ten millions digit of 28236973? 2 What is the thousands digit of 55194860? 4 What is the thousands digit of 23691780? 1 What is the ten thousands digit of 568476045? 7 What is the billions digit of 2936022815? 2 What is the ten millions digit of 24426182? 2 What is the thousands digit of 73268857? 8 What is the hundreds digit of 91104473? 4 What is the units digit of 333932999? 9 What is the thousands digit of 400851991? 1 What is the hundred thousands digit of 630165932? 1 What is the ten thousands digit of 5367809134? 0 What is the tens digit of 1102897360? 6 What is the ten millions digit of 18264413? 1 What is the hundred millions digit of 5651566695? 6 What is the units digit of 4416987161? 1 What is the tens digit of 1044895443? 4 What is the ten thousands digit of 3370516420? 1 What is the hundred millions digit of 197627500? 1 What is the hundred thousands digit of 437088367? 0 What is the thousands digit of 760290898? 0 What is the millions digit of 32638114? 2 What is the thousands digit of 2560924929? 4 What is the tens digit of 29624330? 3 What is the ten millions digit of 450313067? 5 What is the tens digit of 6496686573? 7 What is the units digit of 2699406239? 9 What is the hundred thousands digit of 5355805778? 8 What is the tens digit of 5917615646? 4 What is the thousands digit of 595553428? 3 What is the hundred millions digit of 1332241561? 3 What is the hundreds digit of 755009648? 6 What is the ten thousands digit of 3785658387? 5 What is the ten millions digit of 1961583673? 6 What is the hundred thousands digit of 3547189002? 1 What is the ten millions digit of 16474915? 1 What is the thousands digit of 5685708? 5 What is the thousands digit of 6658550? 8 What is the hundred millions digit of 129036543? 1 What is the ten millions digit of 3158036041? 5 What is the ten thousands digit of 2088101704? 0 What is the ten thousands digit of 26136281? 3 What is the millions digit of 107322183? 7 What is the tens digit of 131126146? 4 What is the hundred thousands digit of 315537345? 5 What is the millions digit of 4709614082? 9 What is the hundred millions digit of 146409210? 1 What is the thousands digit of 111957244? 7 What is the mi
{ "pile_set_name": "DM Mathematics" }
picking 2 r when two letters picked without replacement from {r: 7}? 1 Calculate prob of picking 2 h and 1 u when three letters picked without replacement from {q: 1, h: 3, u: 1, c: 1, t: 1}. 3/35 Calculate prob of picking 2 x when two letters picked without replacement from gbxggxbggx. 1/15 What is prob of picking 2 l and 1 a when three letters picked without replacement from {x: 1, a: 1, z: 1, l: 2, j: 1, y: 1}? 1/35 What is prob of picking 1 f and 1 u when two letters picked without replacement from {u: 1, l: 1, f: 1, i: 1, t: 1}? 1/10 Three letters picked without replacement from dqdccqqdddcdcdqc. What is prob of picking 1 c and 2 d? 3/16 Calculate prob of picking 1 v and 1 f when two letters picked without replacement from {f: 15, v: 4}. 20/57 What is prob of picking 3 i when three letters picked without replacement from iwwiiwm? 1/35 Two letters picked without replacement from {u: 8, y: 3, o: 1, p: 2, l: 5}. Give prob of picking 2 u. 28/171 Four letters picked without replacement from ororoorrre. What is prob of picking 1 e, 2 r, and 1 o? 4/21 Three letters picked without replacement from {f: 15, s: 3}. What is prob of picking 3 f? 455/816 What is prob of picking 1 r and 1 u when two letters picked without replacement from {u: 8, r: 4, e: 4}? 4/15 What is prob of picking 2 k and 1 j when three letters picked without replacement from jjjjjjjdkjkjdjk? 6/91 Calculate prob of picking 2 t and 1 c when three letters picked without replacement from {c: 3, t: 5}. 15/28 Calculate prob of picking 1 c and 2 n when three letters picked without replacement from {n: 8, d: 2, q: 1, j: 2, c: 2}. 8/65 Four letters picked without replacement from {q: 3, n: 3, s: 2, r: 2, w: 1, m: 7}. What is prob of picking 3 n and 1 w? 1/3060 Calculate prob of picking 2 z, 1 n, and 1 b when four letters picked without replacement from zbeoppzoeoznpb. 6/1001 Two letters picked without replacement from {d: 1, f: 3, b: 1, h: 10}. What is prob of picking 1 d and 1 h? 2/21 What is prob of picking 2 n when two letters picked without replacement from nvvnsssnvsn? 6/55 Calculate prob of picking 1 m, 1 c, and 1 u when three letters picked without replacement from {y: 4, c: 1, u: 4, m: 1}. 1/30 Three letters picked without replacement from {v: 1, q: 2, k: 1, n: 1}. Give prob of picking 2 q and 1 v. 1/10 Calculate prob of picking 2 g and 1 r when three letters picked without replacement from {g: 3, m: 1, v: 1, o: 5, r: 1}. 1/55 Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {m: 2, t: 1, u: 1, n: 3}. 1/7 What is prob of picking 3 z when three letters picked without replacement from {z: 15, o: 3}? 455/816 Three letters picked without replacement from {w: 2, u: 1, l: 6, z: 3}. Give prob of picking 1 w and 2 l. 3/22 Two letters picked without replacement from ooglgxplc. What is prob of picking 1 x and 1 l? 1/18 Three letters picked without replacement from mrjrxrjjrxzzm. Give prob of picking 1 r, 1 x, and 1 j. 12/143 What is prob of picking 1 j, 1 b, 1 u, and 1 r when four letters picked without replacement from {j: 1, u: 1, r: 1, b: 1, m: 1}? 1/5 What is prob of picking 1 l and 2 v when three letters picked without replacement from {z: 2, v: 2, l: 2}? 1/10 Calculate prob of picking 1 w, 1 o, and 2 l when four letters picked without replacement from {o: 1, q: 1, r: 5, w: 6, l: 2, p: 1}. 3/910 Four letters picked without replacement from {u: 2, j: 1, f: 7, m: 8, c: 2}. Give prob of picking 1 m, 2 c, and 1 f. 56/4845 Calculate prob of picking 1 i and 1 o when two letters picked without replacement from bobobbiibbii. 4/33 Four letters picked without replacement from {g: 6, n: 8, a: 1}. Give prob of picking 3 n and 1 a. 8/195 What is prob of picking 1 k and 1 f when two letters picked without replacement from {q: 2, w: 1, k: 4, t: 1, f: 7}? 4/15 What is prob of picking 3 t when three letters picked without replacement from {p: 1, c: 1, r: 2, m: 4, t: 3, x: 4}? 1/455 What is prob of picking 1 a and 1 w when two letters picked without replacement from wuububwasb? 2/45 Two letters picked without replacement from {n: 1, d: 2, r: 4, c: 9}. Give prob of picking 1 r and 1 n. 1/30 Calculate prob of picking 1 p, 1 d, and 2 j when four letters picked without replacement from {p: 2, v: 1, j: 2, d: 6, f: 1}. 4/165 Four letters picked without replacement from xxxxooxxoxxxxxxx. Give prob of picking 1 x and 3 o. 1/140 Calculate prob of picking 1 e and 2 l when three letters picked without replacement from {h: 1, l: 1, p: 2, e: 1}. 0 Two letters picked without replacement from {i: 6, m: 1, s: 2, q: 7, z: 1}. What is prob of picking 1 q and 1 s? 7/68 What is prob of picking 1 g and 2 o when three letters picked without replacement from {t: 1, g: 1, f: 1, p: 1, o: 5}? 5/42 Calculate prob of picking 1 p and 1 o when two letters picked without replacement from xxhxhoohph. 2/45 Two letters picked without replacement from ijhphaaippmmap. Give prob of picking 1 p and 1 j. 4/91 Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {f: 1, g: 1, b: 1}. 1/3 Three letters picked without replacement from qkkokqooqkoqqqqq. Give prob of picking 1 o, 1 k, and 1 q. 8/35 Calculate prob of picking 1 s, 1 k, and 1 q when three letters picked without replacement from ksssqskkskkkk. 35/286 What is prob of picking 2 e and 1 o when three letters picked without replacement from feoeeffofofefeoeeeee? 3/19 What is prob of picking 2 r when two letters picked without replacement from {m: 1, r: 3, a: 3, u: 3}? 1/15 Three letters picked without replacement from syptttsystsspmssett. Give prob of picking 1 p, 1 y, and 1 e. 4/969 Four letters picked without replacement from iihihiiiiii. What is prob of picking 4 i? 21/55 Calculate prob of picking 1 e, 1 k, and 1 w when three letters picked without replacement from {e: 4, p: 1, s: 3, k: 1, w: 10}. 40/969 Two letters picked without replacement from aazaz. Give prob of picking 2 z. 1/10 Four letters picked without replacement from ptvttvaabvvsv. What is prob of picking 2 v and 2 t? 6/143 Three letters picked without replacement from {r: 2, u: 3, n: 3, s: 1, z: 1, f: 3}. Give prob of picking 2 n and 1 r. 3/143 Two letters picked without replacement from abaarrrababrrrrara. What is prob of picking 1 a and 1 r? 56/153 Calculate prob of picking 1 p and 3 m when four letters picked without replacement from {p: 4, d: 2, m: 6}. 16/99 Four letters picked without replacement from {v: 1, q: 3, n: 2, c: 3, u: 1}. Give prob of picking 1 q and 3 c. 1/70 What is prob of picking 1 r, 1 w, and 1 c when three letters picked without replacement from {w: 1, c: 2, k: 1, r: 1, i: 2, z: 1}? 1/28 Three letters picked without replacement from {j: 4, p: 2}. Give prob of picking 3 j. 1/5 Two letters picked without replacement from uff. What is prob of picking 1 f and 1 u? 2/3 What is prob of picking 1 a and 3 z when four letters picked without replacement from sazppptapzpzszpez? 1/119 Two letters picked without replacement from {w: 5}. What is prob of picking 2 w? 1 What is prob of picking 1 y and 1 u when two letters picked without replacement from yuuz? 1/3 Calculate prob of picking 3 r when three letters picked without replacement from {d: 3, r: 3, y: 1}. 1/35 Four letters picked without replacement from mmmmbcymcmmnyhm. What is prob of picking 1 n, 1 h, and 2 y? 1/1365 Calculate prob of picking 1 v and 3 q when four letters picked without replacement from qgnngnvngnqgqnqgqqg. 5/969 Calculate prob of picking 2 l and 1 h when three letters picked without replacement from qhcchcccdcccccllccch. 1/380 Two letters picked without replacement from bqub. What is prob of picking 2 b? 1/6 Calculate prob of picking 1 v, 1 h, and 1 b when three letters picked without replacement from bbfohjhv. 1/14 What is prob of picking 2 c when two letters picked without replacement from {g: 4, x: 2, c: 3}? 1/12 Two letters picked without replacement from veevwuevvvjvyvevyjwj. Give prob of picking 1 u and 1 v. 4/95 Two letters picked without replacement from {w: 3, a: 11}. What is prob of picking 2 w? 3/91 Three letters picked without replacement from {j: 4, q: 5, w: 2}. Give prob of picking 3 q. 2/33 Two letters picked without replacement from wwwwwyxwjjewjyje.
{ "pile_set_name": "DM Mathematics" }
67. Let m be k(a). Solve 0 = 11*h - m + 51 for h. -4 Let d be (-8)/(5 - 1) - -4 - -173. Let p = 195 - d. Solve -4*n + p = -8*n for n. -5 Let v(x) = -x**3 - 10*x**2 + 10*x + 2. Let s be v(-10). Let n be (-4)/14 - 714/s. Let h be -5*(1 + n/(-5)). Solve 0 = -h*p + p for p. 0 Suppose 196*m + 3 = -4*s + 199*m, 5*s - 3*m + 3 = 0. Solve -455*r + 456*r = s for r. 0 Let b be -11 + ((-75)/(-5) - -1). Suppose -2*v + 66 = n, -2*v = 6*n - 3*n - 62. Let f = v + -20. Solve -f = -b*h + 11 for h. 5 Let y(i) = i - 3. Let t be y(7). Let l(f) = -f**2 + 34*f - 205. Let o be l(26). Suppose t*r - 5 = o. Solve -4*k = -r*k for k. 0 Let k be 12/9 + (-16)/(-6). Suppose 0 = 3*h + 2*h - 2*u - 26, 4*h = -4*u + k. Solve 5*v - 4*v + h = 0 for v. -4 Suppose 5*r = -q + 1124 - 243, 3*r = 2*q + 526. Solve -38*c + 60*c + r = 0 for c. -8 Let x be (0*(63/(-36))/(-7))/4. Solve -3*f + 16 - 4 = x for f. 4 Suppose 41*b - 18 = 39*b. Let m be b/(-24) - 670/(-80). Solve -m*r - 20 = -4*r for r. -5 Let p = 20248 + -20200. Solve 34*h - 42 = p*h for h. -3 Let r(l) be the first derivative of l**4/4 + l**2 - 6*l + 1. Let b(x) = 3*x**3 + 17*x**2 - 18*x. Let f be b(1). Let u be r(f). Solve -u*k + 2*k + 4 = 0 for k. 1 Suppose 4 = -2*d, -2*x - 21 = 2*d + 211. Let a = -113 - x. Solve -s = -a - 3 for s. 4 Suppose 17*n + 672 = 65*n. Suppose -17*x + 13 = -d - n*x, 2*d - 14 = -2*x. Solve 9*c - 7*c = d for c. 1 Let b be (-5 - (-2)/2)/((-356)/979). Solve 17*i - 23 = b for i. 2 Let v(z) = -9*z - 141. Let y be v(-14). Let d(b) = b**3 + 15*b**2 - 2*b - 14. Let u be d(y). Solve -19 = 3*n - u for n. -1 Suppose -17*b = -11*b - 168. Suppose 52 = 3*p + b. Suppose 4*w = 2*t - 38, 4*t - p = -5*w + 3. Solve -3*s + 6*s + t = 0 for s. -3 Suppose 21*q = 121*q - 6900. Solve -q = h - 72 for h. 3 Let v be (-4 + 1)/(2 - 20/12). Let o be 56 + 3 + v + 4 - 3. Solve 12*d = o + 9 for d. 5 Let q = 723 - 717. Suppose -9*r = -20 - 61. Solve -7*l - q = -r*l for l. 3 Let s = 13000 + -12976. Solve 5*t - s = -4 for t. 4 Let y be (-2)/(12/(-5)) - (-2300)/552. Suppose -1 = g, -y*r + 6*r = -4*g. Solve 0 = -r*c - 4*c for c. 0 Suppose 2*w + 26 = 30. Let z = -21 + 23. Solve z*v + 4 = -w*v for v. -1 Suppose -4*f + 31 = -105. Solve -f*x = -30*x - 16 for x. 4 Let w be 597/7 + (2 - 80/35). Let t = 95 - w. Let f be ((-1)/2)/(1/(-4)). Solve 0*n = -f*n + t for n. 5 Let x = 34 + -30. Let f be (1/x)/((-5)/(-20)). Suppose 5*b = -h + 4, 4*b = -h + 3 + f. Solve i + 6 - 1 = b for i. -5 Let t(r) = r**3 + 4*r**2 + 20*r + 80. Let i be t(-4). Let g(w) = -7*w - 9. Let v be g(-5). Let a = v + -23. Solve i = a*f - 6 for f. 2 Let z = 37 + -35. Let a be 6/z + 140/14 + -5. Suppose 0 = 2*v + 5*y - 20, 3*v + y + 20 = 6*y. Solve v = 6*s - 2*s + a for s. -2 Let c = 491 + -110. Let m = 389 - c. Solve -13*v = -m*v - 10 for v. 2 Suppose -686*b - 11730 = -755*b. Solve 3*c = 37*c + b for c. -5 Suppose -7*h + 145 = 103. Suppose -h*n = -i - 9*n - 10, -3*i - 2*n + 5 = 0. Solve 0 = -6*t + i*t + 1 for t. 1 Let o(i) = 2*i**2 - 11*i - 14. Let b(c) = c**2 - 6*c - 7. Let d(q) = 9*b(q) - 4*o(q). Let y be d(11). Solve y = n + 7 for n. -3 Let f(k) be the second derivative of k**3/6 + 5*k**2 + k. Let n be f(-6). Let x be 190/114 - 4/(-3). Solve -x = 3*m - n*m for m. 3 Let c(t) = t**3 - 3*t + 24. Let i be c(0). Solve -3*z = -15*z + i for z. 2 Let w be ((-36)/(-132))/(-3) - (3 - 1618/11). Solve 77*g = 95*g + w for g. -8 Suppose 5*p + 3*c = 12, 4*p + c = 6*c + 17. Let q be 36/(-4)*1/p. Let t = q - -15. Solve z - t = 4*z for z. -4 Suppose 5*q - 165 = 3*o + 74, q - 39 = 5*o. Suppose 8*y - q - 23 = 0. Solve -y*a + 8*a = 0 for a. 0 Let z be (8 + -6)/(1 + 0). Suppose 8*a - z = 7*a. Let m be a/(-4) - (-45)/18. Solve m = 4*x + 6 for x. -1 Let n be ((-14)/(-8) - 2) + (-26106)/(-456). Solve 0 = -6*a + 81 - n for a. 4 Let l be (-4)/(-18)*(1 - 25)*(-54 + 51). Solve l*a + 10 = -6 for a. -1 Let a be 0*1*1/(-2). Suppose -44*u + 46*u - 8 = 0. Suppose -u*d = -0*d - 32. Solve a*m = -4*m + d for m. 2 Suppose 21*p - 11*p = -60. Let n(l) = -l**3 - 6*l**2 - 10*l - 41. Let s be n(p). Solve s*g - 15 = 22*g for g. -5 Suppose -12*v + 10*v - 440 = 0. Let r be v/(-4) - -4 - 3. Suppose -r = -3*t - 4*t. Solve -5*c = -t - 7 for c. 3 Let u = -343 + 336. Let k(r) = r**3 + 7*r**2 + r + 13. Let c be k(u). Solve 0 = 2*t + 8 - c for t. -1 Let c(o) = -2*o**2 - 13*o - 1. Let r be c(-6). Suppose 1 - r = -2*k. Let d be ((-16)/(-32))/(1/48*k). Solve 3*z = -0*z + d for z. 4 Suppose -4*p + 2178 = -5*o, -58*p + 1629 = -55*p - 3*o. Solve -9*s + p = 600 for s. -7 Suppose 17*f - 12 = 11*f. Suppose -b - f*v - 10 = v, -2*b = 4*v + 10. Solve -b*h + 26 = 1 for h. 5 Suppose -40*g = -47*g + 14861. Suppose 0 = -3*z + 2135 - g. Solve -r = -9 + z for r. 5 Let m(o) = o - 10. Let b be m(16). Suppose 0 = 12*f - 13*f + 3. Suppose 0 = -5*j + f*j + b. Solve j = -t + 1 for t. -2 Suppose -6*x - 20*x = -78. Suppose -10 = -x*y + t - 5, -15 = 4*y + 3*t. Solve 0 = n - y for n. 0 Let j be 255875/6325 - (-2 + (-48)/(-33)). Solve 196 = j*k + 57*k for k. 2 Let m(o) = -o**3 - 4*o**2 - o. Let q be m(-4). Let j = 4372 - 4369. Solve -q*g + 1 = -j for g. 1 Suppose 10976 = -272*p + 29492 + 9228. Solve -p*n + 128 = -86*n for n. 8 Let x(a) = -14*a - 26. Let v be x(-3). Suppose 8*i - v = -0*i. Solve 0*d + d + i = 0 for d. -2 Let g(j) = j**3 + 7*j**2 - 26*j - 186. Let r be g(-6). Solve 8*q - r = 7*q for q. 6 Suppose 0 = 9*f - 0*f - 54. Suppose -3*u + 3 = -f*u. Let r be (u - 56/(-6)) + (-1)/3. Solve 0 + r = 4*x for x. 2 Suppose -9 = -3*o + 6*o, 0 = 5*g - o + 7. Let t be (((-4)/6)/g)/(7/84). Solve t*u + 6 = 14 for u. 2 Let c = -4049 + 4040. Let m = 28 + -41. Let q = c - m. Solve q*j = 5*j + 1 for j. -1 Let l = 1389 - 1307. Solve -80 = -18*o + l for o. 9 Suppose -8 = -43*k + 774 + 121. Solve 92 = -k*m + 8 for m. -4 Let z(u) = 16*u - 189. Let i be z(-14). Let a = i + 435. Solve 7*q = -a + 57 for q. 5 Let s be 3 + 819/33 + 2/11. Let d = 29 - s. Solve -4*q = d + 11 for q. -3 Let m be (-465)/(-62)*(1 + -1 - -10). Suppose 5*d + v = m, 0 = 2*d - d + 4*v - 34. Solve -8*i + d = -i for i. 2 Let i(w) = -w**3 - 29*w**2 - 56*w - 33. Let f be i(-27). Solve 0 = -16*c - f*c for c. 0 Suppose 11*p + 24 = 156. Solve 15 = 9*s - p for s. 3 Let y be (-380)/(-1615) + 1828/34. Solve 0 = -97*w + y*w - 43 for w. -1 Let v = 19 - 13. Let s = 5 - v. Let w be (-2 - -2)/(s + (-12)/(-4)). Solve -n - 4*n = w for n. 0 Suppose 6*t - 4*t + 358 - 2416 = 0. Solve -1038*g = -t*g + 54 for g. -6 Let v(j) = j**2 - 93*j + 1058. Let b be v(13). Solve b = 20*q - 82 for q. 5 Let s(u) be the first derivative of u**3/3 - 9*u**2 - 4*u - 7. Let m be s(19). Suppose -7*a + m = -13. Solve -3*l - l = -a for l. 1 Let x(n) = n**3 - 6*n**2 + 7*n + 7. Let v be 3 + 4 + -7 - (-1 - 3). Let p be x(v). Let m(i) = -2*i**2 + 8*i - 4. Let y be m(p). Solve -14 = -y*h - 4 for h. 5 Let f(t) = t**2 + 9*t + 16. Let k be f(-8). Suppose i = 0, -4*a + i = -k*a + 84. Solve 0 = -5*g + 4 + a for g. 5 Suppose 167 - 167 = -20*w. Solve w = -0*h + h + 7*h for h. 0 Suppose 0 = -2*x + 38 + 68. Let p = x - 34. Let j(z) = -2*z + 38. Let a be j(p). Solve -y + 2*y = a for y. 0 Let p(u) = 2*u**2 - 94*u - 292. Let t be p(-3). Solve -32 = -t*k + 16 for k. 6 Let j be 782/(-459)*-48 + (-8)/(-36). Solve 0 = -66*b + j*b + 80 for b. -5 Let m be (12 + (-300)/10)*2/(-9). Solve -25*z - m - 146 = 0 for z. -6 Let m(k) be the second derivative of -k**4/12 + 2*k**3/3 + 191*k. Let g = 1 - -2. Let y be m(g). Solve -7*z + y*z = 4 for z. -1 Let s(v) = v + 15. Let t be s(-5). Suppose 0 = 5*u + w - 33, -4*u + 2*w = t - 28. Solve u = 2*j - 4*j for j. -3 Suppose 3*y = -y + 64. Let h = -35 + 40. Suppose w + w - 12 = g, 19 = h*w + 3*g. Solve -a + y = -w*a for a. -4 Let k(v) = 113*v - 673. Let a be k(6). Let f(d) = -2*d + 22. Suppose -5*g = -48 + 3. Let z be f(g). Solve z*h = a*h for h. 0 Let y = 165 + -165. Suppose y = -8*u - 8 + 48. Solve -u + 3 = -t for t. 2 Let w = 1302 - 1296. Solve -8*i - w = -46 for i. 5 Let a(u) = -2*u**2 + 10*u + 6. Let n be a(5). Let l be (2 + 0)*9/n. Suppose l*f + 0*f - 3 = 0. Solve -3*i + 2 + f = 0 for i. 1 Let y(x) = 6*x**2 + 52*x + 86. Let z be y(-2). Solve z*n = 57*n - 306 for n. 6 Let m(x) = 3*x - 5. Let a be m(4). Suppose 6*u - 23 = a. Suppose -u*r = -2*t + 26 + 2, 5*r + 40 = 5*t. Solve -o = o + t for o. -2 Let d = 1830 + -1830. Solve -34*y
{ "pile_set_name": "DM Mathematics" }
t, z, -0.1? -0.1 Let n = 58 - 58. Suppose 0 = -f + 5*z - 28, -5*f - z = 2 + 8. Let o be 10/f*(-3)/5. Which is the closest to n? (a) o (b) 6 (c) 3 a Let u be -28*(-204)/(-432) - -13. What is the nearest to 3/25 in -23, 2/11, 0, u? 2/11 Let p = -12905/42 - -1843/6. Let i = -0.85 - -0.15. What is the nearest to -0.1 in p, 2, i? p Let i = -126744/7 - -18106. What is the nearest to -1/25 in i, -2, 5, -5/4? i Let f = -16.96508 + -0.03492. Which is the closest to f? (a) -2/3 (b) 1 (c) -2/19 a Let z = -2.033 + 1.633. Let u = 0.02 + -6.02. Let b = u + 5. What is the closest to z in -1/7, b, 5? -1/7 Let u = -1770.2 - -1373. Let m = u - -397. Which is the closest to -5? (a) m (b) 4 (c) -3/4 c Let i = -65.48 + 54.48. What is the closest to -1/2 in -15/2, 0.4, 3, i? 0.4 Let p = -6.449 + 6.649. What is the nearest to 0 in -2/9, p, -11, -1.8? p Let b = -3637/7270 + 1/3635. What is the closest to b in -3/7, 5, -2.6, -2? -3/7 Let s = 51 + -82. Let m be (88/(-210) - 134/(-469))/((-4)/12). Which is the nearest to -1/2? (a) 1/3 (b) s (c) m a Suppose -4 + 3 = o. Let t = -215.8 - -216. Let g = 4.4 - 4.9. What is the nearest to -0.1 in t, g, o? t Let z be ((-75)/(-2) + -3)*304/54. Let n = z - 194. Which is the nearest to n? (a) -1/5 (b) 0.2 (c) -0.08 b Let h be 40/(-22) + 6/(-6) + 3. Let o be ((-204)/918)/(2/3). Let j = 3 + -3. Which is the nearest to j? (a) o (b) h (c) -0.4 b Suppose -10*z + 52 - 2 = 0. Which is the nearest to -46? (a) z (b) 2/3 (c) -2 c Let z = 0.174 + -0.05. Let y = -0.224 + z. Which is the closest to y? (a) -2/19 (b) -10 (c) 5 a Let i = -351 - -347. Let h = 4.5 - -5. Let y = h - 10. Which is the closest to 1? (a) -2/13 (b) i (c) y a Suppose 4 = 2*w - 14*y + 19*y, -6*w + y = -12. What is the closest to w in -2/7, 0.1, -11, 3? 3 Let x be (4/10)/1 - (-60)/(-375)*-35. Which is the closest to x? (a) -5 (b) -1 (c) -1/18 c Suppose 8*c + 18 = 4*l + 6*c, -3*l = -4*c - 26. Suppose z - l*j = 6*z + 5, 0 = z + 5*j + 24. Suppose -3 - z = 2*o. What is the closest to 6/7 in 1, o, 0.5? 1 Let g = -0.1 + -0.9. Let l = -7.291 + 8.291. Let i = g - l. What is the nearest to -2/3 in i, -2/3, -3/2? -2/3 Let q = 102 - 98. Let a be (-20)/(-60)*(-6)/q. Suppose -12*n + 15*n + 3 = 0. What is the closest to a in -3, n, -2? n Let u = 0.0828 - 0.0828. Let b = 1.11 + -0.21. Let w = b - 1. What is the closest to u in 0.2, w, 2/9? w Let l = 354 + -496. Let t = l + 127. What is the nearest to 2/7 in t, 0.1, -5? 0.1 Let x = 142/3 - 46. Suppose -3*v = 6*v. Let p = 247 - 5185/21. What is the nearest to x in v, -0.2, p? p Let l = -304.1 - -304.2. What is the nearest to 6 in -1, 0.9, l? 0.9 Let m = 3088/7501 - 60/577. What is the nearest to 0.2 in 3/13, -2/7, m? 3/13 Let j = -196265/7 - -28038. Let d = -0.04 + -3.96. What is the closest to 4/13 in d, -2, j? j Let v = -11 + 11.2. Suppose -5 = -215*n + 220*n. What is the nearest to -6 in v, 3, n? n Let r = 14 - 29/2. Let q = -0.29005 + 0.23005. What is the closest to -2 in r, q, 5, -3? -3 Let y = 1630 + -1635. Let s = -4 - -6. Suppose 0 = -5*m + 4*g - 24, 0 = 2*m - 5*m - 3*g - 9. What is the nearest to 1/4 in s, y, m? s Let g = -0.1 + 0.2. Let n = -1951/3948 - -75/188. Which is the nearest to g? (a) 1 (b) n (c) 14 b Let u = -12.12052 + 0.22052. What is the closest to 0.4 in 1, -3, u? 1 Suppose 5*a - 1953 = -153. Let x be 5 + 0 + (-1692)/a. What is the nearest to x in -5, 0, 1/3? 1/3 Let t = 1 + 0. Suppose m - 2*j - 5 = 0, -j - 4*j = -3*m + 10. Let c = 45725/8 - 5716. What is the closest to t in -0.4, c, m? c Let z = 12487/21840 - 1/3120. Which is the nearest to -54? (a) z (b) -2/11 (c) -4 c Let x = 265 + -119. Let b = x - 152.7. Let a = 1.7 + b. What is the nearest to 3/5 in 5, -3, a? -3 Let k = -1765 - -1760. Which is the nearest to 1/4928? (a) 5 (b) k (c) 2/11 c Let x = -112 + 112.106. Let g = 0.206 - x. Let d = 3.8 + -0.8. What is the nearest to g in -10, d, -2? -2 Let l = -1175649 + 204564413/174. Let m = 4/87 - l. Let q = -37/4 - m. Which is the closest to 0.1? (a) -5 (b) -1/3 (c) q b Suppose 8*j - 9*j + 7 = 0. Suppose -10*x = -17*x + j. Suppose 4*z - 59 = -h, -2*h - x = -z - 5*h. Which is the nearest to -0.1? (a) z (b) 1/4 (c) -2/11 c Let j = -59.57 - 0.43. Let v = j + 60.2. Let h = -0.274 - 0.126. What is the closest to -1 in v, h, 2? h Let h(z) = 10*z - 139. Let t be h(14). Let p be 6/8 + t - (-3)/(-4). Which is the nearest to -0.4? (a) p (b) -2/3 (c) 2 b Let f = 2.7 + -0.7. Let h be (84/(-210))/((-12)/(-15)*2). Which is the nearest to h? (a) -1 (b) 0.01 (c) f b Suppose -r = -6 - 6. Let g(v) = -v**3 - 12*v**2 - 34*v - 11. Let h be g(-8). Suppose a - r = -h*a. What is the closest to 0 in 4, a, 2/5? 2/5 Let y = -0.117 + 0.327. Let d = 4.79 + y. Suppose 0 = c - 2*c. What is the nearest to c in 4, d, -1/2? -1/2 Let m = -3.4 + 0.4. Let s = 14/835 + 988/835. What is the nearest to 2/3 in -1, s, m? s Let z = 38989.7 + -38990. Which is the nearest to 3/4? (a) 0.6 (b) z (c) 2/7 a Let z = -101528 - -101526. Let o = 4.4 + -5. Let s = -3 - -1. What is the nearest to z in -1/8, s, o? s Let p(o) be the first derivative of o**4/2 + 2*o**3/3 - o**2 + 3*o - 237. Let m be p(-2). Which is the closest to -3/7? (a) 2/9 (b) m (c) -2 b Let z be 56/(-126)*(-9)/(-210). Which is the nearest to z? (a) 1 (b) 0.5 (c) 0 c Let g = -8 + 5. Let d = -4420/6061 - -502/551. Which is the nearest to 3? (a) -4 (b) g (c) d c Let r = 0.39 + 0.01. Let f(y) = -y + 12. Let n be f(11). Let k = 17.516 + -17.616. Which is the closest to n? (a) r (b) -0.4 (c) k a Let r = 6839.7 - 6840. Which is the nearest to 0.7? (a) -11 (b) -0.4 (c) r (d) 0.3 d Let u = -18871.9 - -18872. Which is the nearest to -1/4? (a) -99 (b) 0.03 (c) -3/8 (d) u c Let a = 402 - 2820/7. Let p = 641.8229 + 0.0771. Let b = -642 + p. What is the nearest to -1/2 in a, 2, b? a Let d = -89 - -88.8. Suppose 0 = 2*y + 5*v - 0*v + 27, -20 = 4*v. Suppose -210 = -635*a + 593*a. What is the nearest to y in -0.4, d, a? -0.4 Let k = -0.31 - -0.11. Let j be (16/(-16))/(3/(-5)). Suppose -5*r = -4*u + 8, -4*u + r = u - 10. What is the closest to u in 4, j, k? j Let j = 38931 - 40156. What is the nearest to 1 in 0.03, j, 1? 1 Let c = 83.5132 - 1.5132. What is the closest to -2 in 0.5, c, -2/5? -2/5 Let o = -18 + 21. Suppose -b = 2*v, -b + 5 + 0 = -o*v. Suppose -2*x + 2*s = 6, -x - 4 = -2*s + b. What is the nearest to x in 1, 0.14, -4? 0.14 Let x = -40087/5 + 8017. Which is the closest to 1.4? (a) -1/6 (b) 0.4 (c) -1/3 (d) x b Let g(n) = 2*n**3 + 14*n**2 + 15*n + 12. Let r be g(-6). Let d = -38 - -57. Let s be d/(-10) + (r/10 - -1). What is the closest to -0.1 in s, 5, -2/9? -2/9 Let x = 247.0396 - 0.0396. Let f = 246.9 - x. What is the closest to 4 in 6, f, 4? 4 Let y = 232 + -227. Let w = 579/7 + -1730/21. Let z = 1 + -1.1. What is the closest to w in -2/3, y, z? z Let i = -4.11 + 0.11. Let s = -48 + 48.01. Let l = s + -0.51. Which is the nearest to 0.1? (a) 0.3 (b) i (c) l a Let q = -249/4 + 62. Let n = 0.20736 + -5.20736. What is the nearest to -13/3 in n, q, -4? -4 Let l = 2563 + -2563.4. What is the closest to 0.1 in l, -1/3, -2/3, -0.07? -0.07 Let w = 2.2 + -1.8. Which is the closest to 0.2? (a) w (b) 2 (c) 2.4 a Suppose 2*m = -4*p - 20, p - 4 = 2*p. Let n = 0.0691 + 3.9309. Let t = -3 - 0. Which is the nearest to -1/3? (a) n (b) t (c) m c Let w = 28.9 - 32. Let f = -3 - w. Let g = -9916 - -9916. Which is the nearest to -3? (a) -2/15 (b) g (c) f a Let v = 1341.1 - 1342.1. Which is the nearest to -0.1471? (a) v (b) 2 (c) -2/9 c Let x(h) = -h**3 - 55*h**2 + 3*h + 217. Let l be x(-55). Which is the nearest to -11? (a) l (b) -0.1 (c) -1 c Let i = 119.55 - 116.55. What is the nearest to 0.06 in -0.5, -0.055, i, -0.3? -0.055 Let r = -1.828 + 121.928. Let j = 119.16 + 0.84. Let v = r - j. Which is the closest to v? (a) 1 (b) -3 (c) 0.3 c Let x = 49/2 - 24. Let m = -579.76 - -579.66. Which is the nearest to x? (a) m (b) 0.035 (c) 1/3 c Let v = -22595 - -3185789/141. Let n = v - -4/47. What is the closest to n in 0.1, 2/9, -5? 0.1 Let h = 13.761 - 13.661. Let x = 1/18 - -13/90. What is the closest to h in x, 2, -4? x Let h be 3/(-14)*-14*2/(-1). Which is the nearest to h? (a) -0.3 (b) -1 (c) -0.07 (d) -0.2 b Let z =
{ "pile_set_name": "DM Mathematics" }
divided by 166. 58 What is the remainder when 534147 is divided by 75? 72 What is the remainder when 629 is divided by 625? 4 Calculate the remainder when 5548 is divided by 297. 202 What is the remainder when 10555 is divided by 3240? 835 Calculate the remainder when 100670 is divided by 8. 6 Calculate the remainder when 1294598 is divided by 13. 6 Calculate the remainder when 794924 is divided by 75. 74 What is the remainder when 21969 is divided by 21958? 11 What is the remainder when 128567 is divided by 56? 47 What is the remainder when 339018 is divided by 1012? 1010 What is the remainder when 9871 is divided by 580? 11 Calculate the remainder when 57685 is divided by 222. 187 What is the remainder when 2114 is divided by 15? 14 What is the remainder when 348782 is divided by 69753? 17 What is the remainder when 5879 is divided by 14? 13 Calculate the remainder when 4998 is divided by 4722. 276 What is the remainder when 5435 is divided by 1461? 1052 Calculate the remainder when 496 is divided by 103. 84 What is the remainder when 34686 is divided by 609? 582 Calculate the remainder when 54279 is divided by 59. 58 What is the remainder when 5225 is divided by 1735? 20 What is the remainder when 37399 is divided by 374? 373 Calculate the remainder when 16365 is divided by 129. 111 Calculate the remainder when 3948 is divided by 298. 74 What is the remainder when 3527 is divided by 1702? 123 Calculate the remainder when 5231214 is divided by 2095. 2094 Calculate the remainder when 12813 is divided by 6404. 5 Calculate the remainder when 3894 is divided by 322. 30 What is the remainder when 29938 is divided by 64? 50 What is the remainder when 526 is divided by 179? 168 What is the remainder when 5579 is divided by 30? 29 Calculate the remainder when 2094 is divided by 1937. 157 What is the remainder when 16907 is divided by 60? 47 What is the remainder when 7833 is divided by 224? 217 Calculate the remainder when 251130 is divided by 39. 9 What is the remainder when 1286 is divided by 127? 16 What is the remainder when 377279 is divided by 82? 79 Calculate the remainder when 335992 is divided by 55997. 10 What is the remainder when 8103 is divided by 405? 3 What is the remainder when 45934 is divided by 6562? 0 What is the remainder when 17040 is divided by 13? 10 Calculate the remainder when 790243 is divided by 15. 13 What is the remainder when 87230 is divided by 79? 14 What is the remainder when 106341 is divided by 8? 5 What is the remainder when 12367 is divided by 6175? 17 Calculate the remainder when 204037 is divided by 50992. 69 What is the remainder when 12607 is divided by 12492? 115 Calculate the remainder when 23331 is divided by 753. 741 What is the remainder when 97324 is divided by 1232? 1228 Calculate the remainder when 40798 is divided by 67. 62 Calculate the remainder when 6145 is divided by 836. 293 What is the remainder when 121759 is divided by 60874? 11 What is the remainder when 29453 is divided by 10? 3 What is the remainder when 3585 is divided by 45? 30 Calculate the remainder when 3446 is divided by 32. 22 Calculate the remainder when 15686 is divided by 21. 20 What is the remainder when 6288 is divided by 126? 114 What is the remainder when 5669 is divided by 172? 165 What is the remainder when 2849900 is divided by 7? 4 What is the remainder when 20511 is divided by 25? 11 Calculate the remainder when 224752 is divided by 322. 318 What is the remainder when 679388 is divided by 43? 31 What is the remainder when 183525 is divided by 22939? 13 Calculate the remainder when 32686 is divided by 27. 16 What is the remainder when 679 is divided by 608? 71 What is the remainder when 1745819 is divided by 869? 867 What is the remainder when 2771 is divided by 82? 65 What is the remainder when 51288 is divided by 10256? 8 Calculate the remainder when 67445 is divided by 878. 717 Calculate the remainder when 8587 is divided by 4250. 87 What is the remainder when 102915 is divided by 25706? 91 What is the remainder when 135234 is divided by 19? 11 What is the remainder when 1318 is divided by 1268? 50 Calculate the remainder when 133431 is divided by 18. 15 What is the remainder when 230027 is divided by 9? 5 Calculate the remainder when 48900 is divided by 627. 621 Calculate the remainder when 53891 is divided by 2566. 5 Calculate the remainder when 360669 is divided by 208. 205 Calculate the remainder when 645451 is divided by 773. 769 What is the remainder when 7962 is divided by 795? 12 What is the remainder when 18147 is divided by 55? 52 What is the remainder when 18220 is divided by 160? 140 Calculate the remainder when 14644 is divided by 603. 172 Calculate the remainder when 6606 is divided by 15. 6 What is the remainder when 5801 is divided by 967? 966 What is the remainder when 3157 is divided by 10? 7 What is the remainder when 15122 is divided by 27? 2 Calculate the remainder when 1325791 is divided by 19. 9 Calculate the remainder when 8189 is divided by 10. 9 What is the remainder when 816814 is divided by 462? 460 Calculate the remainder when 236991 is divided by 6. 3 Calculate the remainder when 45563 is divided by 186. 179 What is the remainder when 304977 is divided by 367? 0 What is the remainder when 925168 is divided by 377? 10 Calculate the remainder when 384243 is divided by 492. 483 Calculate the remainder when 94176 is divided by 217. 215 Calculate the remainder when 7854 is divided by 23. 11 Calculate the remainder when 7951 is divided by 102. 97 What is the remainder when 363533 is divided by 121160? 53 What is the remainder when 841785 is divided by 293? 289 What is the remainder when 6258 is divided by 702? 642 What is the remainder when 80554 is divided by 848? 842 What is the remainder when 37482 is divided by 2675? 32 What is the remainder when 1986 is divided by 36? 6 What is the remainder when 4466 is divided by 444? 26 What is the remainder when 2479 is divided by 179? 152 Calculate the remainder when 7638 is divided by 1496. 158 What is the remainder when 692745 is divided by 46? 31 What is the remainder when 28159 is divided by 5612? 99 What is the remainder when 1027 is divided by 455? 117 Calculate the remainder when 1046 is divided by 30. 26 Calculate the remainder when 13204 is divided by 61. 28 What is the remainder when 2387568 is divided by 22? 18 Calculate the remainder when 116930 is divided by 23. 21 Calculate the remainder when 1972 is divided by 1769. 203 What is the remainder when 2833 is divided by 1306? 221 Calculate the remainder when 13275 is divided by 2654. 5 What is the remainder when 2693 is divided by 180? 173 Calculate the remainder when 119733 is divided by 119729. 4 Calculate the remainder when 813 is divided by 78. 33 Calculate the remainder when 6655 is divided by 824. 63 Calculate the remainder when 15984 is divided by 5218. 330 What is the remainder when 4357 is divided by 533? 93 Calculate the remainder when 3343 is divided by 195. 28 What is the remainder when 464 is divided by 62? 30 What is the remainder when 7283 is divided by 820? 723 Calculate the remainder when 3431 is divided by 497. 449 What is the remainder when 257 is divided by 58? 25 Calculate the remainder when 173122 is divided by 152. 146 What is the remainder when 688 is divided by 171? 4 Calculate the remainder when 756 is divided by 173. 64 What is the remainder when 13220 is divided by 745? 555 What is the remainder when 2972 is divided by 32? 28 What is the remainder when 233652 is divided by 817? 807 Calculate the remainder when 962 is divided by 107. 106 What is the remainder when 593 is divided by 314? 279 Calculate the remainder when 126186 is divided by 67. 25 What is the remainder when 19199 is divided by 237? 2 What is the remainder when 1124 is divided by 337? 113 Calculate the remainder when 74381 is divided by 77. 76 Calculate the remainder when 27542 is divided by 63. 11 Calculate the remainder when 10646 is divided by 674. 536 Calculate the remainder when 2482725 is divided by 141. 138 Calculate the remainder when 3190 is divided by 637. 5 Calculate the remainder when 115 is divided by 37. 4 What is the remainder when 9398 is divided by 4681? 36 What is the remainde
{ "pile_set_name": "DM Mathematics" }
et r(u) = u**3 - 10*u**2 - 38*u + 305. What is the remainder when 60 is divided by r(11)? 4 Suppose x = -2*q - 28, x + 116 = -3*x - 4*q. Let j = -26 - x. Suppose -j*z + 84 = 24. Calculate the remainder when z is divided by 6. 3 Suppose -12*w + 17*w = -4*u + 478, 4*w - 5*u - 407 = 0. Calculate the remainder when w is divided by 48. 2 Calculate the remainder when 1512 is divided by (5 - 12) + (-32)/(1*4/(-22)). 160 Suppose 162 - 3713 - 5171 = -49*h. Suppose 0 = 2*g - 2, 3*c = 4*c + 5*g - 20. What is the remainder when h is divided by c? 13 Let h(q) = -510*q - 755. What is the remainder when h(-4) is divided by 43? 38 Let c = -24 - -46. Suppose -m - 107 = -5*a + 3*m, -m = -a + c. Suppose 45959 = -3827*s + 1609*s + 250015. What is the remainder when s is divided by a? 16 Let h = 8316 - 8305. What is the remainder when (-4)/(-3)*3*7 is divided by h? 6 Suppose 4*g - 4 = 3*g. Suppose -45 = -5*k + g*k. Suppose 558 - 753 = -15*u. Calculate the remainder when k is divided by u. 6 Let f(s) = -s**3 + 6*s**2 - 6*s + 7. Let g(c) = 10*c**2 + 50*c. Let p be g(-5). What is the remainder when p*(-1)/(-4) - (-35)/7 is divided by f(5)? 1 Suppose 4*c + 15029 = 16209. Calculate the remainder when 676 is divided by c. 86 Let i = 200 + -118. Calculate the remainder when i is divided by (759/(-828) + 2/12)*-40. 22 Let s = -707 - -733. Suppose 122 = s*z - 8. Suppose 3*x + 4 = 5*x. Calculate the remainder when z is divided by x. 1 Let i(g) = 7*g + 1. Let o be i(2). Let k = -2535 + 2564. What is the remainder when 1239/o + 15/(-25) is divided by k? 24 Let i = -2587 - -2634. Calculate the remainder when 91 is divided by i. 44 Let l be ((-65)/(-4))/5 + 20/(-16). Let m(a) = 3*a**2 - 1. Suppose -u = 3*u + 4*k - 216, -5*u - 3*k + 268 = 0. What is the remainder when u is divided by m(l)? 9 Let w = 3778 - 3687. What is the remainder when 817 is divided by w? 89 Let h = -314 + 350. Let i(p) = -76*p**3 - p**2 - p. What is the remainder when i(-1) is divided by h? 4 Let t = -1546 + 1557. Let q = -28 + 12. Let i = q - -46. Calculate the remainder when i is divided by t. 8 Suppose -2*j = -2*s - 26, -s + 3 = 4. Let y(n) = 5*n + 5. Let v be 9 - 5 - 1*-2. Calculate the remainder when y(v) is divided by j. 11 Let m = -446 + 473. Suppose -76 = -4*i + 4. What is the remainder when i is divided by (m - 25) + (0 - (-2 + -2))? 2 Suppose 5*n + 2433 = h, 38*n - 12165 = -5*h + 36*n. Calculate the remainder when h is divided by 24. 9 Let h(i) = 11*i**3 + 10*i**2 - 2*i + 5. Let j be (57/(-133) - (-2)/70)*-10. Calculate the remainder when h(j) is divided by 27. 24 Let y = -239 + 371. Let z = 64 + -58. What is the remainder when 43 is divided by ((-2)/(-4))/(z/y)? 10 Suppose -8*q + 4275 - 1595 = 0. Suppose 11*r - 798 = q. Let f(h) = 21*h**3 + h - 1. What is the remainder when r is divided by f(1)? 19 Let v be (159/4)/(36/48). Let o = -28 + v. Calculate the remainder when 373 is divided by o. 23 Let u be (-6)/4*-5*(-24)/(-30). Let y be 2/(-3)*(-80 + -1 + 0). Calculate the remainder when (118/6)/(u/y) is divided by 9. 6 Let z = 51 - 24. Let a = -153829 + 153908. What is the remainder when a is divided by z? 25 Suppose 4362*n = 4339*n + 2162. What is the remainder when 282 is divided by n? 0 Let a(m) = 286*m + 11235. What is the remainder when 1613 is divided by a(-39)? 74 Let j = 744 - 425. Suppose 466*g - 470*g = -80. Calculate the remainder when j is divided by g. 19 Let u = -7570 + 7557. Let j(o) = 9*o + 2*o**2 + 0 + 14 + 14*o. What is the remainder when 210 is divided by j(u)? 51 Suppose -2*j + 6 = -4*j, -3*w - 2*j + 1245 = 0. Calculate the remainder when w is divided by 148. 121 Let u(d) = 12*d + 92. Let k be u(-8). Calculate the remainder when (-96 - -130)/(-3*k/90) is divided by 16. 15 Suppose -4*w + 2*w + 22 = 0. Suppose -14*i = -3*b - w*i + 93, -2*b - 4*i + 44 = 0. What is the remainder when 73 is divided by b? 17 Let i = -6999 - -7059. Calculate the remainder when 77 is divided by i. 17 Let v(d) = -2*d + 97. Let y be v(43). Suppose -99 = -0*n - y*n. Calculate the remainder when 99 is divided by n. 0 Let r = -89 + 135. Let s = 450 - 449. Calculate the remainder when r is divided by 4 + (-2)/5*-30*s. 14 Let v = 7824 + -7582. Calculate the remainder when v is divided by 30. 2 Suppose -12*o + 16*o - 1020 = -d, 0 = -5*d - 2*o + 5064. What is the remainder when d is divided by 5? 2 Suppose 3*k - 38 = -5*h + 465, 3*h - 293 = -4*k. Calculate the remainder when h is divided by 442/12 - 19/(798/35). 31 Let r = -54 - -85. Let w = r + 5. Let u = w - 27. Calculate the remainder when 16 is divided by u. 7 Calculate the remainder when 911 is divided by 2 + (-16 - -17) + 12/((-4)/(-4)). 11 Let s = -328 + 338. Let q = 112 - 76. Suppose -2*o + 26 = -2*i - 2*i, 2*o + i - q = 0. Calculate the remainder when o is divided by s. 7 Suppose 0 = -4*l + 3*t + 38, -t + 0*t = -3*l + 26. Let m(d) be the first derivative of -d**2/2 + 17*d - 338. Calculate the remainder when 26 is divided by m(l). 8 Let l(m) = 3*m + 35. Let k be l(-9). Let o(j) = -1 + j**3 - 6*j**2 - 19*j - 4 + 4 + 5*j. What is the remainder when o(k) is divided by 6? 3 What is the remainder when ((-45732)/24)/((-1)/2) + 6 is divided by 19? 17 Suppose -39 = -5*q + 6*q. Let f = -27 - q. Let h(m) = m**2 - 5*m - 8. What is the remainder when h(f) is divided by 13? 11 Suppose 3*p - 1650 = -5*s - 2*p, -5*s = -p - 1650. Calculate the remainder when 81 is divided by (-11)/(s/24)*-35. 25 Let x(o) = -o**2 - 27*o + 58. Calculate the remainder when x(-27) is divided by 20. 18 Let o(j) = j**3 + 6*j**2 + 2*j + 3. Suppose -7*u - 10 = -5*u. Let h(l) = -l**3 - 77*l**2 - 223*l - 43. What is the remainder when h(-74) is divided by o(u)? 13 Let b(f) = -f**3 - 18*f**2 - 16*f + 40. Let r be b(-17). Suppose r*z - 138 = 21*z. What is the remainder when z is divided by (28/(-12) - -1)*-27? 33 Let w(d) be the second derivative of 11*d**3/3 - 49*d**2/2 + 14*d. Let s be w(7). What is the remainder when (-1)/((-213)/s - -2) is divided by 10? 5 Suppose 0 = 4*q + 5*r - 1038, -3*q + 2*r = -7*q + 1032. What is the remainder when q is divided by 102? 53 Suppose 350 = -h + 2*h. Suppose 0*n = -7*n + h. Suppose x - 2*x = 2*q - n, 5*q - 128 = -x. Calculate the remainder when 101 is divided by q. 23 Let a(z) = -z**2 - 9*z + 5. Let n be a(-10). Let u(d) = -d**3 - 4*d**2 + 4*d + 12. Let j = 210 - 178. What is the remainder when j is divided by u(n)? 15 Suppose -12097 = -30*k + 6983. What is the remainder when k is divided by 13? 12 Let v(y) = 4*y + 11. Let n be v(7). Let s = -29 + n. Suppose -s*l + 5*l = -175. Calculate the remainder when 101 is divided by l. 31 Suppose -378*y + 59*y = -100166. What is the remainder when y is divided by 99? 17 Let g be -1 + 3 + -5 - -40. Suppose 3*f - g = 11. Let o(d) = 12*d - 112. Calculate the remainder when o(14) is divided by f. 8 Let p be ((-105)/2)/(7*10/(-980)). Let y = -602 + p. Calculate the remainder when y is divided by 73. 60 Let k = -967 - -1040. Suppose 0 = 3*l - 4*l - 56. Let m = l + k. Calculate the remainder when m is divided by 6. 5 Let u = 23899 + 10146. Calculate the remainder when u is divided by 27. 25 Suppose p = -4*z - 0*p - 3168, 4*z = -5*p - 3184. Let d = 1284 + z. Suppose -17*r + 1275 = -d. What is the remainder when r is divided by 15? 14 Let w = 4208 + -4107. Suppose -42*x = -46*x + 140. Calculate the remainder when w is divided by x. 31 Let m(s) = 13*s**2 - 387*s - 62. Calculate the remainder when 189 is divided by m(30). 21 Let g be (-1119)/45 + 10/(-75). Let w = g - 50. Let q = 80 + w. Calculate the remainder when 18 is divided by q. 3 Suppose -32*h - 26*h = -20*h - 798. Let r(f) = f**3 - 4*f**2 + 4*f - 4. Let v be r(6). Let p = v - 11. Calculate the remainder when p is divided by h. 18 What is the remainder when 1007 is divided by (36 + -22 + -13)*-2*(-301)/2? 104 Suppose -c + 24 = 5*a, 0 = -15*a + 10*a - 20. What is the remainder when 59 is divided by c? 15 Suppose -8*q = -11*q. What is the remainder when -1*(2 + q) + 300 is divided by 60? 58 Let f be (-1 - 93)/(1/(56/(-16))). Suppose f = 25*j - 171. Calculate the remainder when 169 is divided by j. 9 Let q(h) = 5*h - 113. Let b be q(23). Suppose 3*m = b*w - 61, 3*w + 3*m + 67 = 166. Calculate the remainder when 82 is divided by w. 18 Suppose 134 = 2*m + 16. Let z = 88 - -
{ "pile_set_name": "DM Mathematics" }
+ 77 + 4 = -k, 0 = 5*t + 4*k - 126. Let i(w) be the first derivative of w**4/4 - 6*w**3 - w**2/2 + 24*w - 3. Give i(t). 6 Let v(u) = -11*u - 8*u**2 - 189 + 179 + 9*u**2. Calculate v(12). 2 Let y(m) = 7*m - 4. Let j(s) = 31*s - 134. Let i be j(5). Suppose -i*t = -19*t - 6. Calculate y(t). 17 Let c(i) = 35*i**2 + 9*i + 12. Let o(h) = 122*h**2 + 27*h + 37. Let f(g) = -14*c(g) + 4*o(g). Give f(-8). -4 Suppose -39*n + 210 = -34*n. Let t be (-22)/(-8) - (-1)/4. Let l(d) = 4 + 44*d - n*d - t - 7*d**2. What is l(-1)? -8 Suppose l + 3 = -5*f, -l = -3*f - 6 + 1. Let q(d) = -4*d**2 - 48 - 4*d**2 - 8 + 62 - 5. Determine q(l). -31 Let r(a) be the second derivative of 7*a**3/6 - 13*a**2/2 + 489*a. What is r(-13)? -104 Let p(n) = n**2 + 14*n + 14. Let d be p(-13). Let g(a) = 21*a**2 + 6. Let f(b) = -4*b**2 - b + 1. Let k(m) = d*g(m) + 5*f(m). Give k(6). 17 Let k(u) = -u**3 - 10*u**2 - 16*u + 8. Let r be ((-32)/3)/2*(-222)/(-148). Calculate k(r). 8 Let i(x) = -x**3 + 7*x**2 - 3*x + 16. Suppose -3*g = g + g. Suppose g = 3*m + 2*f - 23, 2*m + 36 = 7*m + f. Determine i(m). -5 Let m(k) = -15*k - 43. Let t(j) = 5*j + 17. Let l(o) = -3*m(o) - 8*t(o). Give l(7). 28 Let y(v) = 4*v + 3*v**2 - 6*v**3 - 159 - 8*v**3 + 30*v**3 - 12*v**3 + 157. What is y(-2)? -30 Let k(d) = 2*d**2 - 28*d + 48. Suppose 60*b + 240 = 80*b. Give k(b). 0 Let t(z) = z - 2. Let i = -3352 - -3355. Calculate t(i). 1 Let l = 178 - 167. Let s(k) = -7*k**3 - 5*k**2 + 10*k + 9. Let g(r) = 13*r**3 + 10*r**2 - 19*r - 17. Let z(b) = l*s(b) + 6*g(b). What is z(-6)? -15 Let n = -65 - -91. Suppose l + 0 = -3*b - 6, -5*l - b = -n. Let p(z) be the second derivative of z**3/6 - z**2 + 13*z. Give p(l). 4 Let h = -84 + 94. Let l(v) = -2 - 10*v - h*v + 18*v. Determine l(2). -6 Let r be 2/(-1)*(-12)/6. Let i(h) be the first derivative of -4/3*h**3 + 1/4*h**4 + h**2 - 48 + 0*h. Determine i(r). 8 Let w(l) be the third derivative of -168*l**2 - 7/24*l**4 + 0 + 0*l - 1/3*l**3. What is w(-4)? 26 Let i(j) be the third derivative of -j**6/120 - j**5/30 - j**4/24 + j**3 - 63*j**2 - 2*j - 9. What is i(-4)? 42 Let k(u) be the first derivative of 2*u**3/3 - 6*u**2 + 4*u + 1519. Calculate k(7). 18 Let p(w) = -w**2 + 7*w - 14. Let z(t) = t**3 - 12*t**2 + 27*t + 5. Let a be z(9). Calculate p(a). -4 Suppose 0 = 4*i + 5*w - 3*w + 48, -27 = 5*i - 3*w. Let t(u) be the first derivative of -u**3/3 - 5*u**2 - 5*u - 25. Give t(i). 4 Let j = -143 - -148. Suppose -j*w + 4*s = 0, 0 = -6*w + 4*w - s. Let i(v) be the third derivative of -v**5/60 - v**4/24 - v**3/6 - 9*v**2. Calculate i(w). -1 Suppose v - 2*l - 542 = 3*v, -4*l - 1354 = 5*v. Let z = 274 + v. Let t(d) = d - 1. Let k(p) = -p**2 + 9*p - 5. Let w(o) = -k(o) + 6*t(o). Calculate w(z). 3 Let g(a) = 2*a. Suppose 4*c = 3*u - 348, -4*c - 2*u + 197 = 565. Let k = 97 + c. Suppose -3*p = -p - 3*f + k, f + 15 = 5*p. Calculate g(p). 8 Let f(h) = -6*h + 4. Let o(p) = p + 9. Let z be o(-9). Let g be f(z). Let b(i) = i + 4. What is b(g)? 8 Let u(k) = k**2 + 5*k - 7. Let h(p) = p**2 - 15*p + 28. Let j be h(13). Suppose 0 = 3*w - 6, j = -i + 4*i - 2*w. What is u(i)? 7 Let i(n) = -3*n - 3. Let t be i(1). Let g(a) = -10*a**3 + a**2 - 10*a - 10. Let m be g(-1). Let s(l) = m*l - 5 + 6*l - 28*l + 10*l. Determine s(t). 1 Let l(w) = 3*w**3 - 4*w**2 + 8*w - 52. Let a(g) = -g**3 + 3*g**2 - 3*g + 16. Let v(b) = 7*a(b) + 2*l(b). Determine v(13). -57 Let m(u) = u - 4. Let w = 98 + -101. Let x be 10/(-15)*1*w. What is m(x)? -2 Let k(r) = -4*r**2 + 49*r - 20. Let n be (-3 - 14/(-4))*10. Suppose n*v - 10 = -55. Let b(w) = -w**2 + 12*w - 5. Let i(q) = v*b(q) + 2*k(q). Determine i(7). -16 Let p(k) = -k - 1670. Let h(u) = 239. Let s(w) = -7*h(w) - p(w). Let b(d) = d**2 - 2*d + 3. Let m be b(3). Determine s(m). 3 Let h(j) be the second derivative of j**4/12 + 17*j**3/6 + 7*j**2/2 + 177*j. Let s(t) = -2*t**2 - 32*t - 14. Let l(z) = 5*h(z) + 3*s(z). What is l(-10)? 3 Suppose -3*a + 2 = i, -4*a = -2*a - 4*i + 8. Let u be (-2)/((-16)/(-4 + a))*-6. Suppose 51*s = 52*s - u. Let h(l) = -l**2 - l + 2. What is h(s)? -10 Let s(o) = -6*o + 13. Let a be ((13/26)/((-1)/(-28)))/(-2). What is s(a)? 55 Suppose -19*x - 21*x = 0. Suppose -6*b - 24 = -x*b. Let w(l) = l**2 + 0*l - 2*l + 6*l - 5. Determine w(b). -5 Let t(f) = -34*f**3 - 22*f**2 - 46*f - 32. Let i(d) = -45*d**3 - 23*d**2 - 45*d - 32. Let x(o) = 3*i(o) - 4*t(o). Determine x(-16). 16 Let x = -231 - -233. Let q(r) = -r + 8 + 1 - x. Let l be 6 - ((-2 - -3) + 0). What is q(l)? 2 Let f(q) be the third derivative of 7*q**6/30 + q**5/60 + q**4/24 - q**3/6 - q**2. Let u be ((-70)/4 - -17)*-2. Calculate f(u). 29 Let o = -388 + 382. Let z(y) = -6*y**2 - 33*y + 6. Let u be z(o). Let s(d) = 2*d + 4. Give s(u). -20 Let k(f) = -f**3 - 2*f + 5. Let c(g) = -5*g**2 - 5*g - 11. Let a(m) = -c(m) + k(m). Determine a(6). -2 Let g(x) be the first derivative of x**3/3 - 3*x**2 + 3*x + 4. Suppose 134*v - 34 = 132*v. Let w = 22 - v. Calculate g(w). -2 Let g = -21532 - -21528. Let m(s) = -s**2 - 93*s - 356. Give m(g). 0 Let c be (-896)/(-14) + 5*-1. Let l(q) = -3*q + q**2 - c + 18 + 29. Calculate l(6). 6 Suppose -3*b + 15 = -12. Let g(t) = 7*t**3 - 20*t**2 + 30*t + 21. Let z(p) = 3*p**3 - 10*p**2 + 14*p + 10. Let l(k) = 2*g(k) - 5*z(k). Calculate l(b). -17 Let c(l) = -l**2 - l + 3. Let h be 1 + ((-7)/1 - -3) - -80. Let g = 85 - h. Let r be (6 + -6 - g)*2/4. What is c(r)? -9 Let a be ((-120)/(-100))/((-2)/(-55)) + -1. Let b be (a/4)/((-2 + 0)*1). Let u(g) = g**2 - 3*g + 4. Give u(b). 32 Let b(d) be the third derivative of d**6/180 + d**5/40 + 3*d**4/8 + 5*d**2. Let x(r) be the second derivative of b(r). Let c be (0 - 1)/(23/46). Calculate x(c). -5 Let i(o) = -o**3 + 5*o**2 + 8*o - 4. Let t be 36/(-9)*((-3)/2 + 1). Suppose -17 = -3*s + t*r + 3, 2*s + 2*r = 10. Calculate i(s). 8 Let o(m) be the second derivative of -m**4/12 - m**3/2 - m**2 + 4306*m - 1. Let q = 1 - 2. Give o(q). 0 Let h(o) = -3*o**3 + o**2 + 2*o + 2. Let x(g) = -2354*g + 16480. Let l be x(7). Give h(l). -14 Let s(d) = -d**3 + 5*d**2 + 4*d - 5. Let l(w) = 14 - w - 13 + 3*w + 6*w**2. Let m be l(-1). Suppose 4*z - 27 = -3*r, 0 = -4*z + z + m*r + 13. Determine s(z). -17 Let n(s) be the third derivative of s**5/10 + 9*s**4/8 - 7*s**3/3 + 59*s**2. Let m(h) = 4*h**2 + 18*h - 9. Let u(f) = -8*m(f) + 5*n(f). Determine u(-4). 6 Let p be 1/3 - (-2)/(-6). Suppose 4*n - n + b + 21 = p, -4*b = -12. Let k(z) = 2*z + 16. Let r(o) = 1. Let v(t) = -k(t) + 10*r(t). Give v(n). 10 Let t be (8*37 - 0)/((-2)/3). Let r = t + 449. Let z(h) = -h**2 + 7*h - 4. Calculate z(r). 6 Let w(d) be the third derivative of d**6/120 + 3*d**5/20 + d**4/6 - 5*d**3/6 + 6732*d**2. Give w(-7). 65 Let f(t) = -13712 - 10*t - 2*t + 13720. Determine f(2). -16 Suppose 477*p - 448 = 445*p. Let q(x) be the first derivative of -x**3/3 + 7*x**2 - 2*x - 1. Determine q(p). -2 Suppose -49 = -z + 2*q, 0*q - 5*q + 169 = 3*z. Suppose 5*j + z = 93. Suppose -j + 23 = 3*d. Let i(l) = -l**2 + 4*l - 6. Calculate i(d). -11 Suppose h - 12 = -3*s, -3 = 3*s - 3*h - h. Let x(z) = -2*z**2 + z**3 - s*z**2 - 3*z**2 - 7 + z**2. Determine x(6). -43 Let b(t) = t**3 - 20*t**2 + 7*t - 140. Let l(o) = -o**3 + 14*o**2 + 21*o - 2. Let v be l(-2). Determine b(v). 0 Let g = -106 - 54. Let f = 156 + g. Let x(s) = s**3 + 3*s**2 - 6*s - 1. Calculate x(f). 7 Let o(g) = -8*g**2 - 8*g - 3. Let z(l) = 5*l**2 + 10*l + 3. Let k(x) = -4*o(x) - 5*z(x). Determine k(3). 6 Let v(g) = g**3 + 7*g**2 + 6*g + 6. Let j = 391 - 558. Let k = -173 - j. Calculate v(k). 6 Let q(r) = 2*r**2 + 3*r - 2. Let g be (-1)/(3/(-30)*2). Suppose 2*s + 6 = 3*y - s, 0 = g*y + 2*s + 25. Give q(y). 7 Let z(b) = b**2 + 16*b + 61. Let k be z(-6). Let o(w) = -w + 13. Let x(m) = 2. Let c(l) = k*o(l) - 5*x(l). Let p = 7 - 5. Give c(p). 1 Let x(t) be the third derivative of -t**5/15 + t**3/6 + t**2. Suppose 4*m + 4*z = -172, 0*m + m - 4*z + 68 = 0. Let f be (-32)/m*9/(-6). Give x(f). -3 Let c(s) = s**3 + 5*s**2 - 21*s - 14. Let q(n) = 18*n**2 - 394*n - 52. Let g be q(22). Give c(g). -38 Let s(d) = -3*d**3 - d + 1. Let z(a) = 17*a**3 + 6*a**2 + 18. Let m(q) = -6*s(q) - z(q). Calculate m(6). 12 Let b(o) be the first derivative of 11*o**4/4 + o**3 - 4*o + 7953. Determine b(-2). -80 Let j(c) be the first derivative of 4*c**3 - c + 24. Let w be 112/18 -
{ "pile_set_name": "DM Mathematics" }
-48*k**2 Let b(z) = -31*z**2. Let f(u) = -1397 + 19*u + 1397 + 43*u. Calculate f(b(o)). -1922*o**2 Let j(q) = 9*q. Let m(n) = 4082*n + 26. Let c(h) = -814*h - 5. Let u(y) = -26*c(y) - 5*m(y). What is u(j(x))? 6786*x Let z(b) = 2*b + 19. Let j(r) = r - 6. Let p(a) = 4*a - 2*a - 3*a + 5. Let m(f) = -5*j(f) - 6*p(f). What is m(z(w))? 2*w + 19 Let j(m) = 57*m. Let y(l) be the first derivative of -l**5/60 + 112*l**3/3 + 77. Let r(c) be the third derivative of y(c). Give j(r(t)). -114*t Let z(a) = -15*a. Let p(t) = 22*t + 23*t + 22*t - 69*t + 3 + t. Determine p(z(r)). 15*r + 3 Let t(q) = -4409307*q + 4409307*q + 3728*q**2 - 2. Let h(m) = -2*m**2. Give t(h(y)). 14912*y**4 - 2 Let k(j) = -130*j**2 - 2. Let g(v) = -2*v - 18. Let l(m) = 36*m + 312. Let f(s) = -104*g(s) - 6*l(s). Give f(k(x)). 1040*x**2 + 16 Let z(d) = -29*d**2 + 1 - d + 13*d**2 + 15*d**2. Let v(x) = 5*x**2 + 2*x - 2. Let c(f) = v(f) + 2*z(f). Let k(u) = 13*u. Determine k(c(m)). 39*m**2 Let z(g) = -208*g**2. Let m(k) be the first derivative of -3*k**2/2 + 2*k - 6. Let l(o) = 7*o - 5. Let i(y) = -2*l(y) - 5*m(y). What is z(i(s))? -208*s**2 Let h(b) = -3327 + 3*b**2 + 1837 + 3*b**2 - 4*b**2. Let u(x) = -2*x**2. Calculate h(u(o)). 8*o**4 - 1490 Let x(h) = -3*h - 4. Let q(l) be the third derivative of 0*l**4 + 1/30*l**5 + 0*l + 0 + 0*l**3 - 7*l**2. Determine x(q(j)). -6*j**2 - 4 Let f(g) be the first derivative of 2*g**3/3 - 3. Let r(j) be the first derivative of 0*j**2 + 17/3*j**3 + 0*j - 2. Give f(r(a)). 578*a**4 Let h(k) = -7*k + 5. Let p(v) = 8*v - 6. Let m(u) = 6*h(u) + 5*p(u). Let a(l) = -261*l + 16*l - 619 + 619. Determine a(m(b)). 490*b Let o(x) = 4*x**2. Let f be ((0/((0 + -2)/1))/2)/2. Let r(b) be the first derivative of 0*b + 10 + 1/3*b**3 + f*b**2. Give r(o(h)). 16*h**4 Let y(s) = 3*s + 4. Let o(g) = -126018*g. Calculate o(y(h)). -378054*h - 504072 Let h(l) = -413*l + 2457. Let x(f) = 16*f. Determine h(x(j)). -6608*j + 2457 Let l(t) = 53938*t**2. Let o(b) = 21*b + 2. Determine o(l(z)). 1132698*z**2 + 2 Let l(f) = -19*f + 346. Let z be l(16). Let x(y) = 39*y**2 + 3*y - z*y**2 - 3*y. Let s(w) = 3*w**2 + 1. Give x(s(k)). -27*k**4 - 18*k**2 - 3 Let z(y) = -8*y + 186. Let x(t) = 53*t**2 - 4*t. Give z(x(g)). -424*g**2 + 32*g + 186 Let l(d) = 5*d. Let t be ((-20)/(-50))/((-4)/(-10)). Let z(a) = -2*a - 1. Let r(u) = -3*u + 3. Let x(n) = t*r(n) + 3*z(n). Calculate l(x(v)). -45*v Let x(b) be the first derivative of 13*b**2 - 650. Let v(u) = 6*u**2. Give x(v(i)). 156*i**2 Let s(u) = u. Let h(m) = -m**3 - 12*m**2 - 14*m + 38. Let t be h(-11). Let x(q) = -363*q**2 + t - 71 + 10*q**2. What is x(s(d))? -353*d**2 Let t(h) = -393*h**2. Let b(j) be the first derivative of 2*j**3/3 - 1387. Give t(b(l)). -1572*l**4 Let b(r) = -43*r**2. Let w(a) = 114475*a. Give w(b(n)). -4922425*n**2 Let f(b) be the first derivative of 9*b**2/2 + 5*b + 84. Let p(r) = -11*r + 2. Give f(p(k)). -99*k + 23 Let i(q) be the third derivative of -52 + 4*q**2 - 1/4*q**4 + 0*q - 1/6*q**3. Let j(y) be the first derivative of y**3/3 - 1. Give j(i(u)). 36*u**2 + 12*u + 1 Let h(w) be the second derivative of w**4/4 + w. Let m(u) be the second derivative of 0*u**2 + 3*u - 52 + 5/6*u**3. Calculate m(h(q)). 15*q**2 Let w(g) = -42*g - 39*g - 46*g - 48*g + 181*g. Let u(k) = -5*k**2 + 4. What is w(u(o))? -30*o**2 + 24 Let z(l) = 13*l - 22. Let x(h) = 4*h - 7. Let u(s) = 19*x(s) - 6*z(s). Let c(q) = 59*q. Give c(u(g)). -118*g - 59 Let s(b) = 78*b + 32*b + 55*b - 328*b + 77*b. Let h(g) = -2*g**2 - 36*g. Calculate s(h(p)). 172*p**2 + 3096*p Let g(z) = 6*z**2. Let w(k) = 2212080*k. What is w(g(h))? 13272480*h**2 Let n(y) = -2*y + 207. Let u(v) be the second derivative of 0*v**2 - 41*v - 1/3*v**3 - 3. Determine n(u(b)). 4*b + 207 Let g(o) = 6*o**2 - o - 3. Let t be g(2). Suppose 0 = 5*p - t - 11. Let y(w) = 5*w**2 + 2*w**2 - p*w**2 + 0*w**2. Let j(b) = -5*b. Give y(j(s)). 25*s**2 Let s(x) be the first derivative of 339*x**2/2 + 1302. Let f(y) = -3*y. Give f(s(b)). -1017*b Let p(k) = -25*k - 2. Let g(y) be the first derivative of y**2 - 892. Calculate p(g(a)). -50*a - 2 Let p(a) = -7*a - 477*a**2 + 7*a - 16 + 479*a**2. Let g(d) = -519 - 3*d + 519. Calculate g(p(f)). -6*f**2 + 48 Let b(z) = 12*z + 1. Let n(d) be the third derivative of 0*d**3 - d + 0 - 1/12*d**4 + 46*d**2. Calculate b(n(w)). -24*w + 1 Suppose 19*a + 3*s = 21*a - 53, 116 = 5*a - 2*s. Let c(m) = -a*m - 91*m + 28*m - 49*m. Let g(q) = 2*q. Give g(c(h)). -268*h Let t(j) = 651 - 310 - 341 + 6*j. Let a(i) be the first derivative of i**4/3 + i - 1. Let k(u) be the first derivative of a(u). Give t(k(s)). 24*s**2 Let t(b) = 2*b. Let c(r) = 21967055*r**2. Give c(t(i)). 87868220*i**2 Let h(n) = -727*n**2. Let j(q) = 88 + 2*q**2 - 342 + 254. Give j(h(c)). 1057058*c**4 Let p(w) = -w**2. Let i = -14 + 77. Let y = -947 + 1083. Let c(t) = 65*t - y*t + i*t. Give c(p(g)). 8*g**2 Let v(s) = 6086*s + 159. Let p(b) = 234*b + 6. Let o(r) = 159*p(r) - 6*v(r). Let i(z) = -22*z. Determine i(o(l)). -15180*l Let c(k) = 23*k - 64*k + 40*k. Let f(s) = -s**3 + 11*s**2 + 14*s - 13. Let q be f(12). Let r(b) = q*b**2 + 16*b**2 + 12*b**2. What is r(c(m))? 39*m**2 Let c(q) = 80*q. Let o(r) = -14*r**2 + 707 + 703 + 703 - 2113. What is c(o(t))? -1120*t**2 Let j(z) = -5*z. Let l(i) = -2*i + 6 + 3*i + 2*i. Let g = -3504 + 3498. Let v(h) = -2*h - 5. Let b(a) = g*v(a) - 5*l(a). Give b(j(c)). 15*c Let b(d) = 13484*d**2. Let z(q) = 411*q**2. Calculate b(z(m)). 2277730764*m**4 Let b(a) be the third derivative of -122*a**5/5 - 766*a**2. Let o(h) = 2*h. Calculate b(o(f)). -5856*f**2 Let o(h) = 164*h - 11*h + 48*h - 94*h + 229*h. Let i(g) = 4*g**2. Calculate o(i(m)). 1344*m**2 Let r(s) be the third derivative of -433*s**4/24 + 487*s**2. Let y(j) = 2*j**2. Determine r(y(a)). -866*a**2 Let r(y) = -y**2 + 2*y - 1. Let w(h) = -16*h**2 + 12*h - 6. Let s(n) = 6*r(n) - w(n). Let m(a) be the first derivative of 13*a**3/3 + 59. Give s(m(t)). 1690*t**4 Let f(k) be the second derivative of k**4/12 + 1108*k + 3. Let b(w) = 603*w**2. What is f(b(h))? 363609*h**4 Let b(h) = 63*h**2. Let n(l) = -8*l + 5. Let d(m) = 6*m + 40. Let t be d(-8). Let r(j) = 13*j - 8. Let p(y) = t*n(y) - 5*r(y). Determine p(b(k)). -63*k**2 Let p = 408 + -392. Let y(g) = 58*g**2 - 3*g - 3. Let o(v) = 176*v**2 - 8*v - 8. Let m(t) = p*y(t) - 6*o(t). Let l(r) = -2*r. Calculate m(l(q)). -512*q**2 Let m(g) = g. Let c(a) = 6*a. Suppose 4*h = -2 - 2. Let o(v) = h*c(v) + 4*m(v). Let i(u) = -8011*u**2 - 9471*u**2 + 17492*u**2. Determine o(i(l)). -20*l**2 Let h(m) = -m - 27*m - 14*m - 22*m. Let q(i) = -60*i. Determine h(q(v)). 3840*v Let l(u) = u. Let b(c) = 7*c**2 - 25*c + 15. Let w = 426 - 434. Let j(i) = -10*i**2 + 38*i - 24. Let d(y) = w*b(y) - 5*j(y). Give l(d(v)). -6*v**2 + 10*v Let y(w) = 5*w**2. Let r(m) = -82*m - 9. Let o(a) = 33*a + 5. Let h(b) = -5*o(b) - 2*r(b). Calculate h(y(c)). -5*c**2 - 7 Let t(b) = -9933*b. Let d(a) = -134*a**2 + 148*a. Give d(t(s)). -13221041526*s**2 - 1470084*s Let l(d) = -2*d. Let r(g) = -104667*g + 208972*g - 104638*g. What is l(r(j))? 666*j Let r(h) = 24*h. Let v(u) = -24*u**2 - 15217*u. What is v(r(w))? -13824*w**2 - 365208*w Let f(m) be the first derivative of -m**5/15 + 5*m**2/2 - 6. Let b(q) be the second derivative of f(q). Let s(l) = -6*l - l - 8*l + 9*l - l. What is b(s(d))? -196*d**2 Let k(f) = 141*f. Let s(o) = 3*o - 76. Let j be s(26). Let u(t) = 6*t - j*t - 119 - 5*t + 119. What is u(k(h))? -141*h Let p(d) = -d**2 - d. Let j(w) = -w**2 - 3*w. Let q(f) = -2*j(f) + 6*p(f). Let k(n) = -426*n**2 - 3653 + 427*n**2 + 3653. Determine q(k(i)). -4*i**4 Suppose 0 = -2*h - 3*c + 20 + 12, h = -4*c + 11. Suppose -13 + 70 = 3*x. Let m(g) = -h*g + x*g - 9*g**2. Let q(f) = -5*f**2. Calculate m(q(z)). -225*z**4 Let g(k) = -27*k**2 - 23*k**2 - 8*k**2 + 6*k**2. Let v(l) = 23*l + 25*l - 92*l + 22*l + 20*l. Calculate g(v(f)). -208*f**2 Let r(w) = 128*w**2. Let z(c) be the third derivative of 0*c - 2*c**2 - 12 + 0*c**3 - 1/12*c**4. Give r(z(g)). 512*g**2 Let a(n) = 4*n + 4*n + 0*n. Let x(r) be the second derivative of 0*r**2 + 0*r**3 + 3 - 5*r - 1/12*r**4. Give x(a(d)). -64*d**2 Let k(r) be the second derivative of -2*r**4/3 + 140*r + 5. Let u(y) = y - 192. What is k(u(d))? -8*d**2 + 3072*d - 294912 Let w(l) = -800*l + 22. Let g(p) = -2*p*
{ "pile_set_name": "DM Mathematics" }
ator of 49/1088847 and -52/9693. 3266541 Find the common denominator of -35/18 and 167/1678110. 5034330 Find the common denominator of 47/46318 and 117/14. 324226 What is the smallest common multiple of 84 and 653520? 653520 Calculate the smallest common multiple of 16182 and 19778. 178002 What is the lowest common multiple of 150 and 2378? 178350 Calculate the least common multiple of 28 and 5752. 40264 What is the common denominator of -169/1368840 and 163/4080? 2737680 What is the least common multiple of 12765 and 28083? 140415 What is the lowest common multiple of 9900 and 180? 9900 Calculate the smallest common multiple of 18 and 16523. 297414 Calculate the lowest common multiple of 287385 and 1034586. 5172930 What is the smallest common multiple of 30 and 18390? 18390 Calculate the common denominator of -55/378 and 67/10692. 74844 What is the smallest common multiple of 43 and 83291? 83291 Find the common denominator of 77/34152 and -55/22768. 68304 Calculate the common denominator of 149/1260 and 67/36. 1260 What is the lowest common multiple of 65930 and 6940? 131860 What is the lowest common multiple of 21896 and 4692? 65688 What is the least common multiple of 8672 and 44444? 355552 Find the common denominator of -69/2912 and 19/5088. 463008 What is the common denominator of 47/594 and -21/352? 9504 What is the least common multiple of 8925 and 30? 17850 Calculate the common denominator of -137/216 and -91/423270. 5079240 Calculate the lowest common multiple of 985764 and 890. 4928820 Find the common denominator of 109/6 and -125/27576. 27576 What is the least common multiple of 468 and 234? 468 What is the lowest common multiple of 167 and 528? 88176 Calculate the smallest common multiple of 2337 and 46617. 885723 What is the lowest common multiple of 4356 and 184? 200376 What is the smallest common multiple of 3872 and 5324? 42592 Find the common denominator of -33/1840 and -191/7590. 60720 What is the least common multiple of 247489 and 151? 247489 Calculate the smallest common multiple of 64839 and 367421. 1102263 What is the common denominator of -19/40 and 49/171760? 171760 Calculate the smallest common multiple of 23316 and 5829. 23316 Calculate the least common multiple of 7425 and 550. 14850 What is the lowest common multiple of 58490 and 11698? 58490 Calculate the common denominator of -89/2598 and 45/49. 127302 What is the least common multiple of 21 and 289995? 2029965 What is the lowest common multiple of 35 and 25635? 179445 What is the least common multiple of 7406 and 33856? 236992 What is the least common multiple of 1681783 and 9? 15136047 Calculate the common denominator of 25/52 and -119/18954. 37908 Calculate the least common multiple of 24 and 12. 24 What is the smallest common multiple of 24456 and 264? 269016 Find the common denominator of -15/88484 and -35/185012. 2035132 What is the least common multiple of 4620 and 1428? 78540 What is the smallest common multiple of 10 and 11195? 22390 What is the least common multiple of 2840 and 1704? 8520 What is the common denominator of 73/22 and 25/40744? 40744 What is the least common multiple of 435 and 26622? 133110 What is the lowest common multiple of 14739 and 235824? 235824 What is the lowest common multiple of 55 and 64790? 64790 Calculate the common denominator of 1/188 and 61/51720. 2430840 Calculate the common denominator of -29/3705 and 97/523887. 2619435 Calculate the least common multiple of 1143 and 198. 25146 Find the common denominator of 89/7880 and 123/2810. 2214280 What is the common denominator of -40/4401 and -115/6? 8802 Calculate the lowest common multiple of 2418 and 18972. 246636 Find the common denominator of -115/378 and 56/210411. 2945754 Calculate the common denominator of 37/5978 and -44/56791. 113582 What is the common denominator of -37/2688 and -65/2592? 72576 What is the lowest common multiple of 2840 and 16756? 167560 Find the common denominator of 139/980 and -51/100450. 200900 Find the common denominator of 91/1240 and 125/2418. 48360 What is the least common multiple of 27 and 235941? 2123469 What is the smallest common multiple of 12306 and 42? 12306 Find the common denominator of 23/68457 and -7/627. 753027 What is the common denominator of -69/9380 and 121/19698? 196980 Calculate the common denominator of 45/18428 and -87/187532. 3188044 Calculate the common denominator of -101/77580 and -13/5172. 77580 What is the least common multiple of 88 and 11880? 11880 Calculate the common denominator of 3/1534 and -109/22. 16874 Calculate the common denominator of 13/92720 and 149/7320. 278160 Calculate the common denominator of -59/8802 and 61/110840. 2992680 What is the common denominator of 37/38448 and 71/3672? 653616 What is the smallest common multiple of 199662 and 27? 1796958 What is the smallest common multiple of 542008 and 1016265? 8130120 Calculate the least common multiple of 24273 and 3. 24273 Calculate the smallest common multiple of 6944 and 2016. 62496 What is the lowest common multiple of 30 and 39100? 117300 Calculate the smallest common multiple of 34814 and 1352. 139256 What is the common denominator of 11/2778 and 85/24? 11112 What is the lowest common multiple of 5356 and 28? 37492 Calculate the lowest common multiple of 8604 and 23900. 215100 Calculate the common denominator of -87/53984 and 75/784. 377888 Calculate the least common multiple of 3509 and 58377. 642147 What is the common denominator of -11/74752 and 163/42? 1569792 What is the smallest common multiple of 1254 and 7866? 86526 What is the smallest common multiple of 181836 and 72? 363672 Calculate the smallest common multiple of 264 and 123. 10824 Calculate the smallest common multiple of 267225 and 33. 2939475 What is the least common multiple of 425412 and 15756? 425412 Calculate the smallest common multiple of 4605 and 19955. 59865 What is the smallest common multiple of 35673 and 1128? 285384 Find the common denominator of -121/46340 and -131/360. 834120 What is the least common multiple of 160212 and 4? 160212 Calculate the common denominator of 13/212688 and -19/504. 212688 Find the common denominator of 173/194292 and -133/48. 777168 What is the lowest common multiple of 250 and 573725? 5737250 Calculate the common denominator of -161/248352 and -67/56. 1738464 Calculate the smallest common multiple of 46672 and 344206. 2753648 Calculate the common denominator of 29/4766 and -31/431323. 862646 What is the least common multiple of 136 and 278256? 278256 Calculate the lowest common multiple of 56 and 4844. 9688 Calculate the common denominator of -77/8 and -27/3880. 3880 Calculate the common denominator of -83/10098 and -43/546. 918918 What is the common denominator of 18/65 and 94/105? 1365 What is the common denominator of -19/78 and 47/2393? 186654 What is the smallest common multiple of 7 and 299815? 2098705 What is the lowest common multiple of 587910 and 60? 1175820 Calculate the common denominator of -40/1016057 and 19/870906. 6096342 Calculate the common denominator of -2/255351 and -93/14. 3574914 Calculate the common denominator of -20/12663 and 89/945. 63315 What is the smallest common multiple of 936 and 1159496? 10435464 Find the common denominator of 127/168 and 73/48. 336 Find the common denominator of 17/796 and -23/26. 10348 Calculate the common denominator of 76/169599 and -65/18. 1017594 What is the common denominator of 81/578380 and -21/880? 2313520 Calculate the common denominator of 37/156774 and 5/10353. 1097418 Calculate the smallest common multiple of 42 and 4242. 4242 What is the lowest common multiple of 205088 and 336? 4306848 Calculate the smallest common multiple of 171 and 15426. 293094 Calculate the lowest common multiple of 14410 and 20174. 100870 What is the lowest common multiple of 9 and 2403804? 7211412 What is the smallest common multiple of 301454 and 14? 2110178 What is the least common multiple of 4172 and 313794? 4393116 Calculate the least common multiple of 9350 and 28050. 28050 What is the least common multiple of 76856 and 104? 76856 Find the common denominator of 54/1015 and 8/245. 7105 What is the smallest common multiple of 444491 and 6? 2666946 What is the smallest common multiple of 6226
{ "pile_set_name": "DM Mathematics" }
ment from ysisifiqyfsqqy? 6/91 What is prob of picking 1 m and 1 e when two letters picked without replacement from {x: 2, m: 1, a: 1, q: 2, e: 1, s: 2}? 1/36 Three letters picked without replacement from {x: 3, v: 3}. What is prob of picking 1 x and 2 v? 9/20 Four letters picked without replacement from {l: 1, p: 2, s: 3, m: 4, i: 6, j: 2}. What is prob of picking 3 l and 1 j? 0 What is prob of picking 1 t and 1 c when two letters picked without replacement from ggtocgttgtt? 1/11 Four letters picked without replacement from {z: 3, h: 11}. What is prob of picking 2 z and 2 h? 15/91 Three letters picked without replacement from zzmzmlllzl. Give prob of picking 2 m and 1 l. 1/30 Four letters picked without replacement from {b: 2, u: 3}. What is prob of picking 1 b and 3 u? 2/5 Two letters picked without replacement from {t: 11, w: 1, u: 2, k: 2}. What is prob of picking 2 t? 11/24 What is prob of picking 1 b and 2 p when three letters picked without replacement from bbpp? 1/2 Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}. 1 What is prob of picking 2 o and 2 q when four letters picked without replacement from hohqohhqo? 1/42 Calculate prob of picking 1 j and 3 t when four letters picked without replacement from {q: 2, j: 1, d: 1, s: 1, t: 6, i: 4}. 4/273 What is prob of picking 1 a, 1 n, and 1 t when three letters picked without replacement from {g: 1, a: 6, m: 3, q: 2, n: 2, t: 5}? 20/323 Calculate prob of picking 2 l and 2 x when four letters picked without replacement from {l: 4, b: 7, m: 5, x: 3}. 3/646 Four letters picked without replacement from cccuccuccccucuuccccc. What is prob of picking 4 c? 91/323 What is prob of picking 2 d and 1 g when three letters picked without replacement from ggdgdgddddddddddddg? 455/969 Two letters picked without replacement from {g: 5, j: 5}. What is prob of picking 2 g? 2/9 What is prob of picking 1 o and 1 h when two letters picked without replacement from {q: 11, h: 2, e: 5, o: 1}? 2/171 Three letters picked without replacement from kudvztzukkvdvk. Give prob of picking 2 z and 1 d. 1/182 Two letters picked without replacement from wwpwwqlqwqtlcwlq. What is prob of picking 1 c and 1 l? 1/40 What is prob of picking 1 q and 1 k when two letters picked without replacement from kxppxqjpppqqqqqpqpp? 7/171 Two letters picked without replacement from bbltbtxxtblxbbttb. What is prob of picking 2 x? 3/136 Calculate prob of picking 3 s and 1 b when four letters picked without replacement from gsssgsssbsbbxbbxbs. 28/255 What is prob of picking 1 d, 2 t, and 1 w when four letters picked without replacement from {e: 8, t: 2, w: 4, g: 1, d: 1}? 1/455 Calculate prob of picking 3 s when three letters picked without replacement from {s: 7, p: 3}. 7/24 Four letters picked without replacement from {j: 3, t: 3, f: 1, d: 1, c: 2, h: 1}. Give prob of picking 1 d, 1 c, and 2 t. 1/55 Two letters picked without replacement from {s: 2, m: 2, o: 4, q: 1}. Give prob of picking 2 m. 1/36 Calculate prob of picking 1 w, 1 h, and 2 d when four letters picked without replacement from dpppppdwhddddddphp. 14/765 Three letters picked without replacement from {x: 1, l: 1, g: 7}. Give prob of picking 3 g. 5/12 Four letters picked without replacement from ncsyscfsyyc. What is prob of picking 1 y and 3 s? 1/110 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from qxouxxuoq. 1/6 Two letters picked without replacement from pyceh. What is prob of picking 1 e and 1 y? 1/10 Two letters picked without replacement from {z: 1, g: 1, v: 2, n: 2, u: 2, w: 1}. Give prob of picking 1 z and 1 w. 1/36 Calculate prob of picking 2 m and 1 o when three letters picked without replacement from mmooomomkok. 2/11 Two letters picked without replacement from itiuiuuhhiipuhhhhi. Give prob of picking 1 i and 1 h. 4/17 What is prob of picking 2 f when two letters picked without replacement from ffttfqfftftfqf? 4/13 Two letters picked without replacement from {l: 1, v: 1, k: 2, h: 2}. What is prob of picking 1 h and 1 l? 2/15 Four letters picked without replacement from {o: 3, d: 5}. Give prob of picking 3 d and 1 o. 3/7 Four letters picked without replacement from bqggngqtntft. Give prob of picking 1 q, 2 n, and 1 g. 2/165 Calculate prob of picking 1 b, 1 y, and 1 k when three letters picked without replacement from {g: 1, k: 4, v: 2, f: 2, y: 4, b: 6}. 32/323 What is prob of picking 1 n and 2 y when three letters picked without replacement from {n: 11, y: 3}? 33/364 Four letters picked without replacement from {t: 1, s: 2, b: 4, d: 2, y: 1, l: 2}. What is prob of picking 1 t, 1 d, and 2 s? 2/495 What is prob of picking 2 s when two letters picked without replacement from {j: 1, s: 2, y: 2, e: 1, r: 1}? 1/21 Three letters picked without replacement from mmmmmmmmmmmmn. Give prob of picking 3 m. 10/13 What is prob of picking 1 i and 3 c when four letters picked without replacement from {i: 4, a: 2, c: 3, s: 2}? 2/165 Two letters picked without replacement from {s: 9, h: 5}. What is prob of picking 2 h? 10/91 What is prob of picking 1 g and 1 p when two letters picked without replacement from {a: 1, p: 4, w: 1, q: 1, j: 5, g: 5}? 5/34 Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, s: 3, u: 1, g: 8, f: 4}. 3/68 Four letters picked without replacement from gppppgx. Give prob of picking 2 p, 1 x, and 1 g. 12/35 Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {k: 1, s: 1, v: 2, c: 6, y: 2}. 1/33 Calculate prob of picking 1 m and 3 z when four letters picked without replacement from zmzzmzzzzzzz. 16/33 What is prob of picking 2 x and 1 h when three letters picked without replacement from {x: 2, m: 1, l: 1, h: 1}? 1/10 Three letters picked without replacement from {i: 6, w: 2, k: 1, y: 4}. What is prob of picking 2 y and 1 k? 3/143 Calculate prob of picking 2 e and 2 i when four letters picked without replacement from {e: 4, i: 3, v: 5, m: 7}. 3/646 Two letters picked without replacement from {o: 9, w: 3, s: 2, x: 2}. What is prob of picking 1 w and 1 s? 1/20 Two letters picked without replacement from {s: 2, b: 1, f: 1, n: 2, o: 2}. What is prob of picking 1 s and 1 o? 1/7 Three letters picked without replacement from {q: 1, r: 2, u: 1, n: 2, j: 1, h: 2}. What is prob of picking 2 n and 1 u? 1/84 What is prob of picking 1 r and 1 m when two letters picked without replacement from {f: 2, t: 2, r: 5, m: 3}? 5/22 Two letters picked without replacement from ouozcz. Give prob of picking 1 z and 1 c. 2/15 Four letters picked without replacement from hhahahha. Give prob of picking 3 a and 1 h. 1/14 Calculate prob of picking 2 n when two letters picked without replacement from nnnmmnmmnnnmnnnn. 11/24 Three letters picked without replacement from {f: 4, d: 6}. What is prob of picking 3 d? 1/6 Four letters picked without replacement from yyyyxlyxl. What is prob of picking 1 y, 2 x, and 1 l? 5/63 What is prob of picking 1 c and 2 v when three letters picked without replacement from {e: 1, l: 2, v: 2, c: 6}? 2/55 Four letters picked without replacement from {y: 6}. Give prob of picking 4 y. 1 Two letters picked without replacement from kmmmmvmvkvmvvmmmmvm. What is prob of picking 2 k? 1/171 Two letters picked without replacement from vovwcnt. What is prob of picking 1 o and 1 c? 1/21 What is prob of picking 1 m and 1 z when two letters picked without replacement from mmzmmmzmm? 7/18 Four letters picked without replacement from {c: 2, s: 8, o: 5, m: 4}. What is prob of picking 3 o and 1 m? 10/969 What is prob of picking 2 o when two letters picked without replacement from bbbbbbobobb? 1/55 Four letters picked without replacement from {p: 3, d: 4, q: 11}. What is prob of picking 4 d? 1/3060 Two letters picked without replacement from {g: 7, q: 10, r: 1, i: 1}. What is prob of picking 1 g and 1 r? 7/171 Two letters picked without replacement from sgtsuhgsss. Give prob of picking 1 g and 1 s. 2/9 Calculate prob of picking 1 q and 1 k when two letters picked without replacement from {q: 5, k: 14, a: 1}. 7/19 Four letters picked without replacement from mimiiviivvvm. What is prob of picking 1 i and 3 v? 4/99 What is prob of picking 2 s when t
{ "pile_set_name": "DM Mathematics" }
f -22422, -22202, -21830, -21300, -20606? g**3 + 70*g**2 + 3*g - 22496 What is the r'th term of 452820, 452075, 450832, 449091, 446852, 444115, 440880? -249*r**2 + 2*r + 453067 What is the m'th term of 742, 544, 356, 178, 10, -148? 5*m**2 - 213*m + 950 What is the z'th term of -5753563, -11507161, -17260759, -23014357, -28767955? -5753598*z + 35 What is the o'th term of 208815, 208735, 208657, 208581, 208507, 208435? o**2 - 83*o + 208897 What is the w'th term of -4323, -8599, -15715, -25665, -38443? w**3 - 1426*w**2 - 5*w - 2893 What is the s'th term of -116847, -116780, -116713, -116646? 67*s - 116914 What is the a'th term of -2008705, -4017404, -6026103, -8034802, -10043501, -12052200? -2008699*a - 6 What is the n'th term of 361330583, 361330586, 361330589, 361330592, 361330595, 361330598? 3*n + 361330580 What is the v'th term of -1030, -1568, -2114, -2668, -3230? -4*v**2 - 526*v - 500 What is the k'th term of 1190, 4558, 10196, 18116, 28330, 40850? 2*k**3 + 1123*k**2 - 15*k + 80 What is the j'th term of -37732, -53873, -70014, -86155, -102296, -118437? -16141*j - 21591 What is the y'th term of -58997513, -117995028, -176992543, -235990058, -294987573? -58997515*y + 2 What is the q'th term of 4390, 35295, 119282, 282919, 552774, 955415, 1517410? 4428*q**3 - 27*q**2 - 10*q - 1 What is the s'th term of 123380, 246685, 369990, 493295, 616600? 123305*s + 75 What is the b'th term of 650, 313, -476, -1717, -3410, -5555? -226*b**2 + 341*b + 535 What is the l'th term of 13017906, 13017891, 13017876, 13017861, 13017846, 13017831? -15*l + 13017921 What is the h'th term of -10958, -21832, -32628, -43346, -53986, -64548, -75032? 39*h**2 - 10991*h - 6 What is the q'th term of -294813, -294818, -294823? -5*q - 294808 What is the a'th term of 516497, 1033215, 1550153, 2067311, 2584689? 110*a**2 + 516388*a - 1 What is the r'th term of -128, 100, 792, 2188, 4528? 40*r**3 - 8*r**2 - 28*r - 132 What is the p'th term of 2185, 8716, 19653, 35038, 54913, 79320? 7*p**3 + 2161*p**2 - p + 18 What is the m'th term of -2392, -9922, -22478, -40066, -62692? -m**3 - 2507*m**2 - 2*m + 118 What is the t'th term of -530, -357, 198, 1135, 2454? 191*t**2 - 400*t - 321 What is the d'th term of -515, -1104, -1759, -2480? -33*d**2 - 490*d + 8 What is the v'th term of 1056933, 2113868, 3170803? 1056935*v - 2 What is the q'th term of 1510, 5176, 15408, 35488, 68698? 547*q**3 + q**2 - 166*q + 1128 What is the a'th term of 21725, 43357, 64989, 86621, 108253, 129885? 21632*a + 93 What is the f'th term of 382166, 382160, 382154? -6*f + 382172 What is the j'th term of -121981, -121955, -121905, -121825, -121709, -121551, -121345? j**3 + 6*j**2 + j - 121989 What is the a'th term of 42425, 41143, 39007, 36017? -427*a**2 - a + 42853 What is the c'th term of 19201, 38060, 56921, 75784, 94649? c**2 + 18856*c + 344 What is the z'th term of -139628, -139645, -139678, -139733, -139816, -139933? -z**3 - 2*z**2 - 4*z - 139621 What is the k'th term of 876, 3134, 6816, 11922? 712*k**2 + 122*k + 42 What is the i'th term of -86673651, -86673646, -86673641, -86673636, -86673631, -86673626? 5*i - 86673656 What is the z'th term of 6359285, 6359292, 6359303, 6359318, 6359337? 2*z**2 + z + 6359282 What is the q'th term of -1066736, -4266631, -9599684, -17065895? -1066579*q**2 - 158*q + 1 What is the k'th term of -9346, -23851, -38356, -52861, -67366, -81871? -14505*k + 5159 What is the t'th term of -401785, -803408, -1205021, -1606618, -2008193, -2409740, -2811253, -3212726? t**3 - t**2 - 401627*t - 158 What is the g'th term of -148442, -298955, -449468, -599981, -750494? -150513*g + 2071 What is the p'th term of -15098, -30494, -45916, -61370, -76862, -92398, -107984? -p**3 - 7*p**2 - 15368*p + 278 What is the y'th term of 5338, 10604, 15860, 21106, 26342, 31568? -5*y**2 + 5281*y + 62 What is the x'th term of -58752524, -117505051, -176257578, -235010105? -58752527*x + 3 What is the v'th term of 51578, 103117, 154560, 205859, 256966? -8*v**3 + 51595*v - 9 What is the d'th term of 170, 581, 1190, 2021, 3098, 4445, 6086? 4*d**3 + 75*d**2 + 158*d - 67 What is the a'th term of 2370, 9404, 21138, 37572, 58706, 84540? 2350*a**2 - 16*a + 36 What is the a'th term of 288445, 288454, 288483, 288538, 288625, 288750, 288919? a**3 + 4*a**2 - 10*a + 288450 What is the b'th term of 6171, 6218, 6299, 6414, 6563, 6746? 17*b**2 - 4*b + 6158 What is the s'th term of 41850772, 83701545, 125552318, 167403091, 209253864? 41850773*s - 1 What is the t'th term of -201599, -203797, -205995? -2198*t - 199401 What is the c'th term of -264070, -528206, -792406, -1056670? -32*c**2 - 264040*c + 2 What is the k'th term of 1722, 3514, 5302, 7086, 8866, 10642? -2*k**2 + 1798*k - 74 What is the d'th term of 169, 443, 967, 1741, 2765, 4039? 125*d**2 - 101*d + 145 What is the y'th term of 5508, 10972, 16418, 21840, 27232, 32588, 37902? -y**3 - 3*y**2 + 5480*y + 32 What is the c'th term of -26852497, -53705001, -80557507, -107410015, -134262525, -161115037, -187967551? -c**2 - 26852501*c + 5 What is the y'th term of 93278311, 93278310, 93278309, 93278308, 93278307, 93278306? -y + 93278312 What is the u'th term of 17727047, 35454096, 53181157, 70908236, 88635339, 106362472, 124089641? u**3 + 17727042*u + 4 What is the y'th term of -19583, -18444, -17303, -16160, -15015, -13868, -12719? y**2 + 1136*y - 20720 What is the a'th term of -272, 1128, 4060, 8524, 14520? 766*a**2 - 898*a - 140 What is the i'th term of -5411804, -10823669, -16235534, -21647399, -27059264? -5411865*i + 61 What is the x'th term of -4184, -4023, -3748, -3353, -2832? x**3 + 51*x**2 + x - 4237 What is the z'th term of 23819, 97991, 221615, 394691, 617219? 24726*z**2 - 6*z - 901 What is the g'th term of 773932, 773877, 773836, 773815, 773820, 773857? g**3 + g**2 - 65*g + 773995 What is the z'th term of -148719, -297921, -447123, -596325? -149202*z + 483 What is the q'th term of -236292, -236284, -236270, -236250, -236224, -236192, -236154? 3*q**2 - q - 236294 What is the g'th term of -2017450, -2017517, -2017582, -2017645, -2017706, -2017765, -2017822? g**2 - 70*g - 2017381 What is the o'th term of 2197361, 2197387, 2197411, 2197433, 2197453, 2197471? -o**2 + 29*o + 2197333 What is the j'th term of -15663, -31365, -47075, -62793? -4*j**2 - 15690*j + 31 What is the h'th term of 32213, 128852, 289867, 515216, 804857, 1158748, 1576847? -7*h**3 + 32230*h**2 - 2*h - 8 What is the b'th term of 20153, 35020, 49887, 64754, 79621? 14867*b + 5286 What is the l'th term of 3530618, 3530620, 3530622, 3530624, 3530626? 2*l + 3530616 What is the b'th term of -930670, -1861241, -2791716, -3722095, -4652378, -5582565? 48*b**2 - 930715*b - 3 What is the z'th term of 17675698, 35351399, 53027100? 17675701*z - 3 What is the f'th term of -438409, -877010, -1315605, -1754188, -2192753, -2631294? f**3 - 3*f**2 - 438599*f + 192 What is the t'th term of -115994, -466618, -1050992, -1869116? -116875*t**2 + t + 880 What is the q'th term of -3536123, -3536124, -3536125, -3536126, -3536127? -q - 3536122 What is the a'th term of 108, 262, 398, 516, 616, 698? -9*a**2 + 181*a - 64 What is the h'th term of 5745, 2649, -447, -3543, -6639, -9735? -3096*h + 8841 What is the h'th term of -105, -247, -429, -651, -913, -1215, -1557? -20*h**2 - 82*h - 3 What is the g'th term of 3121, 2999, 2793, 2503, 2129? -42*g**2 + 4*g + 3159 What is the n'th term of -2253993, -4508002, -6762009, -9016014, -11270017? n**2 - 2254012*n + 18 What is the g'th term of 30196, 30407, 30620, 30835, 31052, 31271? g**2 + 208*g + 29987 What is the c'th term of 5487, 11918, 22633, 37632? 2142*c**2 + 5*c + 3340 What is the k'th term of 2551849, 2551854, 2551869, 2551900, 2551953? k**3 - k**2 + k + 2551848 What is the i'th term of 1027915, 1027911, 1027897, 1027867, 1027815, 1027735, 1027621, 1027467? -i**3 + i**2 + 1027915 What is the r'th term of -37970853, -75941700, -113912541, -151883376, -189854205? 3*r**2 - 37970856*r What is the w'th term of 3308370, 6616653, 9924936, 13233219, 16541502, 19849785? 3308283*w + 87 What is the z'th term of 263, 2164, 7279, 17216, 33583? 268*z**3 - z**2 + 28*z - 32 What is the a'th term of -20436, -40797, -61070, -81261, -101376, -121421, -141402, -161325? -a**3 + 50*a**2 - 20504*a + 19 What is the
{ "pile_set_name": "DM Mathematics" }
2 + 12*w - 37. Let z be q(4). Put u, 1/10, z in decreasing order. 1/10, u, z Let k(t) = t**3 + 6*t**2 - 7*t - 1. Let j be k(-7). Let g = -12 + 17. Put j, 0.1, g in decreasing order. g, 0.1, j Suppose -i + 2*h + 4 = 0, -2*i = -0*i - 2*h - 4. Suppose 4*p - 2*p - 2 = i, 0 = -5*q + 3*p - 8. Let n = 4.03 - 0.03. Put q, -4, n in descending order. n, q, -4 Let c = -4.5 - -5. Put 1/5, 0.1, 5, c in ascending order. 0.1, 1/5, c, 5 Let s = 63/4 - 16. Let m = -12 + 17. Let j = -4 + m. Put s, -2, j in increasing order. -2, s, j Let z(s) = -s**2 - 4*s. Let w be z(-5). Let b = -6 + -3. Let a = -8 - b. Sort -2, w, a in increasing order. w, -2, a Let w = -4.2 - -5. Let g = w - 0.5. Let m = 0.5 - 0.8. Put g, 1/8, m in decreasing order. g, 1/8, m Suppose 4*z - 450 = 474. Let j = 2077/9 - z. Put 1/2, -2/5, j in ascending order. -2/5, j, 1/2 Let v = 18 - 18. Suppose -2*d - 10 = -v*d. Sort 4, d, 2 in ascending order. d, 2, 4 Let o = 3/23 - -14/69. Sort -0.5, o, -3. -3, -0.5, o Let q(m) = m - 2. Suppose -10 = 5*o, 4*v + 2*o + 0*o = 16. Let g be q(v). Sort -2, g, 2/9. -2, 2/9, g Let p(f) = -f + 5. Let q be p(8). Let k = -9 + 11. Put q, -1, k in descending order. k, -1, q Suppose -4*z + 19 = 15. Sort -5, -3/4, 0.4, z in decreasing order. z, 0.4, -3/4, -5 Suppose -3*u + 2*y = 2, 2 + 2 = 4*y. Sort u, 1, -3 in descending order. 1, u, -3 Let c = 0.04 - 4.04. Sort 2, 2/23, c in descending order. 2, 2/23, c Let x = -73 + 77. Put 5, x, -0.5, 0 in descending order. 5, x, 0, -0.5 Let d be 2/4*-2 + (-5 - -2). Sort 3, 2, -2, d. d, -2, 2, 3 Let o = -2 + -1. Let z = -8 - o. Sort 0.5, z, 0 in descending order. 0.5, 0, z Let b be ((-3)/(-9))/((-1)/9). Sort b, 3, -5. -5, b, 3 Let s(q) = -q**2 - 5*q - 1. Let i be s(-4). Let f(w) = 2*w + 1. Let v be f(2). Suppose -8*t = -v*t + 15. Put t, -1, i in descending order. i, -1, t Let r = 50 - 48. Sort -1, -5, r in ascending order. -5, -1, r Let n(z) = z**3 - 8*z**2 + 9*z. Let r(m) = -2*m**3 + 16*m**2 - 19*m + 1. Let u(a) = -7*n(a) - 3*r(a). Let i be u(7). Sort i, 5, -5 in descending order. 5, i, -5 Let q = 12 + -14. Sort 4, q, -0.3 in descending order. 4, -0.3, q Let q be 2/(-6) + (18/4 - 4). Put 0.5, q, -0.4 in increasing order. -0.4, q, 0.5 Suppose 5*y - b = -6 - 2, 5*b = 2*y + 17. Suppose 0*m = -3*m. Suppose m = -3*o + 5*o + 4. Sort o, 2, y in descending order. 2, y, o Suppose -5*a + 29 = 84. Let f = a - -7. Let m = 2 - 5. Sort f, m, -1 in descending order. -1, m, f Suppose -5*x = -4*w - 2, 0 = x - 5*w - 4 + 12. Sort x, 2/11, 4. 2/11, x, 4 Let z = -3.8 + 4. Sort z, -0.1, 4. -0.1, z, 4 Suppose -2*r - 2*r - 11 = l, -37 = -5*l + 3*r. Let q = 0.13 + -1.33. Let a = q + 1. Put 2/7, l, a in descending order. l, 2/7, a Suppose -45 = -9*d - 18. Sort 15, -5, d in decreasing order. 15, d, -5 Let q = -1.2 + 0.2. Let j = -2.81 + -0.19. Let r = j - q. Sort -3, r, -0.3. -3, r, -0.3 Suppose -f - 25 = 3*d - 9, d = -4. Sort f, -3, -5, -31 in increasing order. -31, -5, f, -3 Suppose 3*n + 7*v = 3*v + 7, 1 = 4*n - 3*v. Suppose g = 2*g - 4. Let y be (-1 + 0)*(g + -1). Put n, y, 0 in increasing order. y, 0, n Let s(o) = -o**2 - o. Let r be s(1). Sort 1, r, 3, 0.1. r, 0.1, 1, 3 Let t be 2/3 + 14/6. Let o = t + -5. Suppose -2*j = 4*x - 26, 3*x + 2*x + 5*j - 40 = 0. Sort 1, x, o in increasing order. o, 1, x Suppose -4*c - 3*i + 19 + 7 = 0, 5*c + 2*i - 29 = 0. Suppose 2 = 4*m + 6. Put c, 3, m in decreasing order. c, 3, m Let r = -0.01 + -0.29. Let x = -1.3 - r. Let d(i) = 4*i - 27. Let l be d(7). Put 3, x, l in increasing order. x, l, 3 Let a = 0.05 - -0.35. Let b = a + -0.33. Let r = -4.07 + b. Sort r, -0.2, 0.4 in descending order. 0.4, -0.2, r Let j = -1.13 + 4.13. Let d = 4.06 - 0.06. Sort d, j, -0.3 in decreasing order. d, j, -0.3 Let h = -0.15 + 5.15. Sort -3/8, -0.3, h in ascending order. -3/8, -0.3, h Let q = -10036/21 + 478. Let a = 2.3 - 0.3. Sort a, q, -0.1. -0.1, q, a Let d = -12.5 + 13. Let k = 1 - -2. Put d, -1/2, k in decreasing order. k, d, -1/2 Let i(z) = -z + 3. Suppose -4*l = 5*p, -l = -0*p + 3*p. Let a be i(l). Put a, 0.3, -1/6 in ascending order. -1/6, 0.3, a Suppose -4*c + 20 = -48. Suppose -i + 3*k - 9 = k, 3*i = k - c. Put i, 4, -1 in decreasing order. 4, -1, i Let y(b) = -b**2 + 4*b + 6. Let j be y(5). Suppose -23*m + 24*m = 8. Let i be (3/m)/(j/(-1)). Sort 3, -3, i in decreasing order. 3, i, -3 Let a(c) = -c**2 - 3*c + 6. Let m be a(-5). Let g = 0 + 3. Let z = 2.5 - g. Put m, z, -3/2 in descending order. z, -3/2, m Let p be 2/(-7)*3/6. Let k = -0.04 - -0.44. Let n = -1.6 - k. Put 1, p, n in ascending order. n, p, 1 Let j = -11 - -13. Let k be 16/(-33) + 2/3. Put 4, k, j in ascending order. k, j, 4 Let p = -5.6 + 0.6. Suppose -7 = 5*b - 37. Let o be 3/(0 + b/(-4)). Put p, o, -0.3 in decreasing order. -0.3, o, p Suppose -3*p + 3*h + 3 = -0*p, 4*p + 3*h + 3 = 0. Suppose 8*a - 4*a + 3*j - 9 = p, 2*j - 6 = 0. Suppose a = -0*b - 4*b. Sort b, 3, -3 in increasing order. -3, b, 3 Let p(l) = -l + 6. Let x be p(6). Put 4, -1, x in descending order. 4, x, -1 Suppose 2*t - 6 - 4 = 0. Suppose -t*a + 25 = -2*i + i, -4*a + 36 = -4*i. Let y be 2/(-4)*(2 - a). Sort y, -2, -0.2. -2, -0.2, y Let s = -25 - -29. Sort s, 0.2, -0.5 in descending order. s, 0.2, -0.5 Let w = 0.1 - 0.13. Let c = -0.47 + w. Put -2/7, c, 4 in decreasing order. 4, -2/7, c Let t = -1 + 6. Suppose h = 3*h. Suppose -y - 8 = -3*d - 0*d, 5*d - y - 14 = h. Sort d, -0.5, t in ascending order. -0.5, d, t Let d be 18/(-5) + 6/(-15). Let x be 2/5 - (-51)/(-15). Put 5, x, d in descending order. 5, x, d Suppose -5*r - 3 = 4*g, -2*g + 9 = -2*r - 3. Suppose -g = -4*k - 7. Suppose 0 = 2*i + 5 + 5. Put 4, k, i in decreasing order. 4, k, i Let p(r) be the first derivative of -r**2/2 - r + 7. Let l be p(-4). Sort -5, -7, l in ascending order. -7, -5, l Let j = -46.6 + 47. Let g be 1/(-2) + (-31)/(-2). Let w = 10 - g. Put w, -2/3, j in decreasing order. j, -2/3, w Let b = 6.97 + -7. Let y = b - -0.13. Let x = -0.43 - -0.03. Put x, 0, y in descending order. y, 0, x Let b = 2 + -2.6. Let k = -0.2 - b. Sort k, -2, -1/5 in descending order. k, -1/5, -2 Let r be ((-2)/(-3))/((-2)/(-9)). Put -1, -5, r in ascending order. -5, -1, r Suppose 2*z = 5*z - 6. Suppose 0 = -2*a - 1 - 1, -10 = -2*f + z*a. Suppose r = 2*c - 15 + 6, f*r - 16 = -5*c. Sort c, 5, 3 in ascending order. 3, c, 5 Let g = 0.044 - 0.144. Let x = 0.3 + -0.2. Sort x, g, -0.2 in descending order. x, g, -0.2 Let u = -8 + 7. Let z be 9/(-6)*u/3. Put z, -0.4, 4 in ascending order. -0.4, z, 4 Let d be ((-14)/(-49))/(6/(-14)). Sort 1/10, d, 3. d, 1/10, 3 Let i(l) = l - 4. Let p be i(-3). Put -1, 4, 0, p in increasing order. p, -1, 0, 4 Let o be 2/(-12) - (-145)/(-30). Suppose -j + 4 = -3*j. Sort o, -1, j in increasing order. o, j, -1 Suppose 1 + 3 = 2*u. Let o = 1.7 + -2.2. Let x = o - -0.7. Put x, -3, u in ascending order. -3, x, u Let h = -12.7 - -16.7. Put 0.1, h, -12 in ascending order. -12, 0.1, h Suppose 3 = -2*v + 9. Let r = 4 + -3. Put v, 5, r in descending order. 5, v, r Let r = 861 - 864.69. Let v = r + 0.29. Let j = -0.4 - v. Put j, -2, -2/17 in decreasing order. j, -2/17, -2 Let g = -9 + 6. Let u = -19 - -17. Suppose 8*s = 4*s + 4. Sort g, u, s in decreasing order. s, u, g Let t be (2/16)/((-3)/4). Let d = -61 + 245/4. Let x be 1/(-4) - 2/8. Sort t, x, d in increasing order. x, t, d Let n = -5 + 8. Suppose -6 = -2*g + 4*g. Sort -4, n, g in decreasing order. n, g, -4 Let x(d) be the third derivative of -7/6*d**3 + 1/6*d**4 - 4*d**2 + 1/60*d**5 + 0*d + 0. Let l be x(-5). Sort l, 0.03, -0.3. l, -0.3, 0.03 Suppose -4*r + 10 = r. Suppose -4*h - 8 = -q, -r*q + 4 + 6 = -2*h. Suppose -10 = -4*z - z. Put z, h, 4 in increasing order. h, z, 4 Suppose 77 = -4*k + 11*k. Sort -1, k, -4, 0 in increasing order. -4, -1, 0, k Let b = -7 - -12. Let z = -3 + 0. Let v = z + 7. Sort -4, v, b in descending order. b, v, -4 Let y be 10/10 + (1 - 2). Suppose -2*j + 0 = -4. Suppose y*i = j*i. Put -3, 2, i in decreasing order. 2, i, -3 Suppose 0 = 10*a - 5*a. Let z be 3/9 - (-8)/(-6). Sort a, z, -2 in ascending order. -2, z, a Suppose w + 3 = 3*n, -5*w - 19 = 5*n - 4. Sort 4, w, -4 in descending order. 4, w, -4 Let n = 2/13 - 19/39. Sort n, -4, 1 in descending order. 1, n, -4 Let g be 1*(2 + 2 + -2). Let w be (0 - 2/g)*4. Let o = 4 + -7. Put o, w, 0 in increasing o
{ "pile_set_name": "DM Mathematics" }
- 1096. Give s(-18). 8 Let o(y) be the first derivative of 45*y**2/2 - 525*y - 7085. Determine o(12). 15 Let w(j) be the first derivative of -2*j**3/3 + 5*j**2 - 9*j + 7. Suppose 50*b = 52*b - u - 11, -2 = -2*u. Calculate w(b). -21 Let t = -28 - -31. Suppose -r - 1 + t = 0. Let m be (-95)/(-15) - r/6. Let k(p) = p**3 - 5*p**2 - 5*p. What is k(m)? 6 Let o be -12*((-18)/(-24))/(-3). Let z(m) = -1 + m**2 - o + 5 + 2*m. Give z(-2). 1 Suppose -11*x + 26 - 4 = 0. Let w be x/(4/(-11)) + (-5)/10. Let g(r) = 2*r + 10. Determine g(w). -2 Let t(m) be the first derivative of -m**3/3 - 8*m**2 - 43*m + 2279. Determine t(-10). 17 Let h(g) = -g**3 - 11*g**2 + 14*g + 12. Let i(m) = 2*m**3 - 13*m - 43. Let z be i(-6). Let l = z - -385. Give h(l). -12 Let j(x) = -2987 - 6*x + 2959 - 3*x. What is j(-6)? 26 Let d(x) = -x**3 - 7*x**2 + 9*x - 11. Let g(m) = m**3 - 10*m**2 + m + 11. Let r be g(5). Let z = r + 101. Calculate d(z). -19 Let a(r) = -r**3 + 2*r**2 + 3*r - 4. Let o be a(2). Suppose -5*u + 10 = -o*s, -s - 46 = 5*u - 41. Let p(k) = -k + 2. What is p(s)? 7 Let o(s) be the first derivative of s**2/2 - 40*s + 6294. Give o(-11). -51 Let s(n) = 60*n**2 + 3*n + 13. Let u be s(21). Let z(b) = -u + b**3 + 26535 + 2*b**2 + 7*b**3. What is z(1)? 9 Let p(w) = -w**2 + 6*w - 6. Let b = 250 + -243. Suppose 0 = -33*c - b*c + 240. Calculate p(c). -6 Suppose 0 = 3*r - 3*f - 132, -5 = 3*f + 2*f. Let c(m) = -r + 15 + 25 + 3*m. Let g(u) = -2*u + 1. Let z(y) = -3*c(y) - 5*g(y). What is z(7)? 11 Suppose -90*u = 1090 - 370. Let r(d) = 17*d + 15. Calculate r(u). -121 Let m = 9648 + -9653. Let h(l) be the first derivative of l**3/6 + 3*l**2 + 5*l + 3. Let k(s) be the first derivative of h(s). Give k(m). 1 Let h(p) = -34 + 12 + 10 + 10. Let v(q) = 4*q + 26. Let u(r) = 12*h(r) + v(r). Give u(-1). -2 Let c(r) = r**2 - r + 2. Let o be c(2). Let i(j) = -6 + 4 - j**3 - 47*j**2 + j + 8*j**2 + 3*j + 42*j**2. Give i(o). -2 Suppose -134 = -2*o - 118. Let j(u) = 7 + 42*u - 21*u - 22*u - 5 + 15. What is j(o)? 9 Let h(o) = o**2 - 10*o - 55. Suppose -3*u - 49*n + 52*n + 27 = 0, 2*u - 23 = n. What is h(u)? 1 Let b(u) = 844*u - 25. Let a(x) = 67*x - 2. Let p(h) = 74*a(h) - 6*b(h). What is p(-1)? 108 Let i(v) = -3*v**2 - 55*v + 2 + 50*v + 0. Let r be (168/(-4))/(-7) - 8. Determine i(r). 0 Let w(f) = 13*f**3 - 7*f - 14*f**3 + 7 - 5*f**2 - 4*f**2. Suppose -99*m + 101*m = l - 21, 0 = 2*l - 10. Give w(m). -1 Let k(l) = 157*l + 1256. Let s be k(-8). Let c(f) = f**2 + 2*f + 6. Determine c(s). 6 Let u(m) = -10*m**3 - m**2 + 3*m - 2. Suppose 5*o + f = 1 - 0, -3*o - 5*f = 17. Give u(o). -10 Let q(t) = -16*t**2 - 5*t. Let i be 10/(-5) - (-4 - -1). Let h be q(i). Let u(w) = -w**3 - 21*w**2 - w - 16. Calculate u(h). 5 Let v be 7 + (-25)/4 - (-45)/20. Let t(w) = -17*w - 27. Calculate t(v). -78 Let g be (12/(-32))/((-132)/704). Let f(d) be the second derivative of 1/3*d**3 + d**g + 13*d + 0 - 1/6*d**4. Give f(2). -2 Let d(t) = t**3 - 7*t**2 - 7*t - 5. Suppose 0 = -5*g + 2*b + 35 + 53, 3*g - 58 = -4*b. Let i be -4*g/(-24) - -5. Calculate d(i). 3 Let i(l) be the first derivative of -105 + 1/2*l**2 + 2*l. Calculate i(-4). -2 Suppose -9*b = -6*b - 12. Suppose 0 = b*v - 20. Suppose 6 = 2*r - v*p, r + 3*p = -0*r + 3. Let h(z) = 2*z + 1. Determine h(r). 7 Suppose -d = 9 - 6. Let y be (d/(-2))/1*16/6. Suppose 0 = -y*s - 5*s - 9. Let q(g) = 12*g**3 - g**2 - g. Give q(s). -12 Let j be (-167 + -2)*9*(-5)/15. Let y = j + -510. Let v(p) = 6*p + 1. Calculate v(y). -17 Let o(j) = -13526 - 2*j**2 + 36*j + 27060 - 13523. What is o(18)? 11 Suppose -6*l - 21 + 153 = 0. Let y(g) = 2*g - 10 - 7*g**2 - l*g**3 + 6 + 21*g**3. What is y(-7)? -18 Let b(u) = -u**2 + 6*u - 5. Let p(z) = -2*z - 6. Let v = -41 + 41. Suppose v = r - 7*r - 36. Let m be p(r). Give b(m). -5 Let c = 20 + -26. Let w(v) = -3*v**2 - 7*v - 1. Let f(y) = y**2 + 2. Let m(i) = 2*f(i) + w(i). What is m(c)? 9 Suppose -6*h = -2*h - 4, -2*h = -4*o + 22. Let g(b) be the second derivative of -5/2*b**2 - 1/12*b**4 + 2/3*b**3 + 5 - 6*b. What is g(o)? -17 Let k(h) = -h - 1 - 3*h + 3*h. Let j be (252/(-63))/(4/(-5)*-1). Determine k(j). 4 Let w(j) = -28*j**2 + 15*j + 25. Let k(v) = -33*v**2 + 15*v + 26. Let n(m) = -6*k(m) + 7*w(m). What is n(-6)? 1 Let n(r) = r**2 - 1. Let i(v) = 3*v**2 + 3*v - 5. Let z = 57 - 61. Let t(f) = z*n(f) + i(f). Suppose 5 + 1 = 3*a. Give t(a). 1 Let p(g) = -8*g**2 + 9*g + 3. Let i(u) = 25*u**2 - 31*u - 10. Let l(v) = 2*i(v) + 7*p(v). Let k be 3/(-7)*(1 + -8). Suppose -n + 2 = -k*n. What is l(n)? -6 Let d(l) = -14*l - 14. Let u = 11579 - 11579. What is d(u)? -14 Let k(x) = 27*x**3 + 108*x**2 - 111*x - 94. Let g(z) = 5*z**3 + 21*z**2 - 22*z - 19. Let f(i) = 11*g(i) - 2*k(i). What is f(-16)? 43 Let n(f) = f + 7. Let d be (-1 + 10/4)*(370 + -368). Determine n(d). 10 Let y(v) = 77*v**3 + 4*v**2 + 2*v - 1. Let x be y(-1). Let d = 73 + x. Let m(o) = -o**3 - 2*o**2 - 3*o - 3. Give m(d). 15 Let j(f) = -f**2 - 4*f. Suppose 5*q + 3*q = -40. Let x(h) = 7*h + 20. Let n be x(q). Let w = 10 + n. Calculate j(w). -5 Suppose 0 = -5*s - 3*d - 9, 2*s + 5*d = -0*s - 15. Suppose -14*f + 0*f + 84 = s. Let t(r) = -6*r + 8. Give t(f). -28 Suppose -22*o - 240 = -12*o. Let h be 4 + (-248)/o + 1/(-3). Let v(y) = -y**3 + 15*y**2 - 15*y + 17. Calculate v(h). 3 Let r(a) = -5*a**3 + 6*a**2 + 8*a + 24. Let c(x) = 9*x**3 - 12*x**2 - 16*x - 43. Let d(j) = -4*c(j) - 7*r(j). Let z = 793 + -786. Determine d(z). 11 Let p(f) = -5*f**2 + 8*f + 3. Let r(v) = -4*v**2 + 9*v - 5. Let a(l) = 3*p(l) - 4*r(l). Give a(5). -6 Let z(j) = 0 - 687*j + 684*j - 5. Suppose -5*a - 18 = 2*h, a + 4*a + 26 = -4*h. What is z(a)? 1 Suppose -5*n = -2*w - 3*w + 20, 5*w - 5 = 0. Let l be 39/(-9) - (-2)/n. Let s(r) = 78*r + 61*r + 82*r + 81*r - 304*r - 3. Determine s(l). 7 Let p be ((-20)/(-18))/((-84)/(-378)). Let g(x) = -5*x - 1 - 2*x**2 + 2*x + 0*x - 14*x**3 + p*x + 4*x**3. What is g(1)? -11 Let y(l) = 3*l - 2. Suppose -76 = -w - 235. Let t be (-38)/209 + w/33. Give y(t). -17 Let q = -651 - -636. Let a(p) = -p**2 - 12*p + 3. Calculate a(q). -42 Let s(u) = -u**3 - 8*u**2 - 10*u + 12. Let k be s(-6). Let p(n) = k*n - 517 + n + 512. Determine p(5). 0 Suppose k - 3 = 0, 72*k + 21 = 3*c + 73*k. Let o(s) = -10*s - 38. What is o(c)? -98 Let n(i) be the second derivative of -7*i**3/6 + 3*i**2/2 + 10034*i. Let d = -1 + 4. What is n(d)? -18 Let i(l) be the second derivative of l**4/6 - 3*l**2/2 + 173*l + 1. Determine i(-6). 69 Let n(y) = -y**3 - 2*y**2 + 8*y + 43. Let m be n(-4). Let o(u) = m - 93 - u**2 - 7*u + 38. What is o(-5)? -2 Let j be (-7)/(-14)*(0 + 10). Let k(x) = 5 + 6*x - 2 - 14*x - x**2 + 1 + 3*x**2. Calculate k(j). 14 Suppose 0 = -4*y - 1 + 5. Let u(t) = 3*t**2 - 6*t - 2. Let l(n) = 3*n**3 + 64*n**2 - 128*n - 41. Let h(a) = -l(a) + 21*u(a). Calculate h(y). -3 Let f(z) = z**2 + 9*z + 14. Let j be f(-8). Suppose -8*l + j = -82. Suppose l*h + 70 = 26. Let n(s) = -3*s - 3. Calculate n(h). 9 Let p(u) = -60*u - 306. Suppose -237*z + 226*z - 55 = 0. What is p(z)? -6 Let s(o) = o**3 - 6*o**2 + 4*o. Suppose -269 = -33*j - 104. Calculate s(j). -5 Let z(p) = p**3 + 91*p**2 - 136*p**2 - 129 + 28*p**2 - 31*p. Determine z(19). 4 Let v(t) = -t**3 - 6*t**2 + 19*t + 11. Suppose 22*q + 488 = 312. Determine v(q). -13 Let z(y) = 2*y**2 + 2*y**2 + 3 - 2. Suppose 2*u + 18 = 5*c - 66, c - 22 = 3*u. Let s be 5 + (-26)/8 + 4/c. What is z(s)? 17 Let o = 85 - 76. Let c(m) = 6 - 5*m + o*m - 1 + m**2 + 4*m. Give c(-8). 5 Let d(n) = -2*n - 4. Let f(m) = -m - 4. Let x = 312 + -308. Let o(u) = x*f(u) - 3*d(u). Calculate o(-1). -6 Let w(j) = -2*j + 1. Let z(d) = 7*d - 16. Let g(c) = 2*w(c) + z(c). Let l be (-376)/(-376)*-3*(-3 + 1). What is g(l)? 4 Let a(m) be the first derivative of -17*m**2/2 - 221*m - 6979. Calculate a(-12). -17 Let x(j) = -3*j - j**2 + 121 + 114 - 225. Give x(-9). -44 Let x = 44 - 42. Let p(i) = -i + 3 + 4*i**2 + i**x - 5*i - 4*i**2. Let d(w) = -w**2 + 5*w - 2. Let n(g) = -3*d(g) - 2*p(g). What is n(3)? 0 Let v(m) = m**2 - 11*m + 14. Suppose 90*j + 1158 = 139*j + 144*j. Calculate v(j). -16 Let l(k) = -8*k**2 + 43*k - 13. Let i be l(5). Let z(j) = 3*j**3 + j**2 - 9*j + 3. What is z(i)? 13 Let x(q) = -738*q - 1471. Let u be x(-2). Let p(a) = a**2 - 13*a + 31. Determine p(u). -9 Let s = -12509 + 12510. Let l(q) = -q. Let
{ "pile_set_name": "DM Mathematics" }
478556? 26*n**2 + 369534*n + 4 What is the y'th term of -50799, -101529, -152187, -202779, -253311, -303789? -y**3 + 42*y**2 - 50849*y + 9 What is the c'th term of -138520, -138841, -139162, -139483, -139804, -140125? -321*c - 138199 What is the k'th term of -132812, -265600, -398388, -531176, -663964, -796752? -132788*k - 24 What is the d'th term of 86650, 173316, 259988, 346666, 433350, 520040? 3*d**2 + 86657*d - 10 What is the i'th term of 398003, 1592019, 3582045, 6368081? 398005*i**2 + i - 3 What is the l'th term of -5325969, -10651942, -15977929, -21303936, -26629969? -l**3 - l**2 - 5325963*l - 4 What is the a'th term of 332, 801, 2106, 4667, 8904, 15237, 24086, 35871? 70*a**3 - 2*a**2 - 15*a + 279 What is the n'th term of -12789, -15257, -7401, 10779, 39283, 78111, 127263? 5162*n**2 - 17954*n + 3 What is the r'th term of -156836, -156852, -156862, -156860, -156840, -156796, -156722? r**3 - 3*r**2 - 14*r - 156820 What is the w'th term of -10443, -41666, -93669, -166452, -260015, -374358, -509481? -10390*w**2 - 53*w What is the y'th term of 124293, 124311, 124347, 124407, 124497? y**3 + 3*y**2 + 2*y + 124287 What is the p'th term of -3787533, -3787091, -3786347, -3785295, -3783929, -3782243? p**3 + 145*p**2 - 3787679 What is the d'th term of 77530562, 77530559, 77530552, 77530541? -2*d**2 + 3*d + 77530561 What is the a'th term of 5825, 5763, 5669, 5525, 5313, 5015, 4613, 4089? -3*a**3 + 2*a**2 - 47*a + 5873 What is the g'th term of 648364669, 1296729340, 1945094011, 2593458682? 648364671*g - 2 What is the q'th term of -4348, -4321, -4252, -4123, -3916, -3613, -3196? 3*q**3 + 3*q**2 - 3*q - 4351 What is the j'th term of -1445215, -11561717, -39020799, -92493751, -180651863, -312166425, -495708727, -739950059? -1445215*j**3 + 3*j - 3 What is the h'th term of -229247, -229237, -229213, -229169, -229099? h**3 + h**2 - 229249 What is the s'th term of -12401104, -12401085, -12401066, -12401047? 19*s - 12401123 What is the d'th term of -204525970, -204525975, -204525982, -204525991? -d**2 - 2*d - 204525967 What is the y'th term of -4961, -4302, -2521, 940, 6639? 93*y**3 + 3*y**2 - y - 5056 What is the i'th term of 2977068, 5954149, 8931234, 11908323, 14885416? 2*i**2 + 2977075*i - 9 What is the t'th term of 2840744, 2840745, 2840746, 2840747, 2840748, 2840749? t + 2840743 What is the b'th term of 971817, 1943609, 2915401, 3887193? 971792*b + 25 What is the j'th term of 5681432, 5681412, 5681392, 5681372, 5681352, 5681332? -20*j + 5681452 What is the q'th term of -219204, -438410, -657612, -876810, -1096004, -1315194? 2*q**2 - 219212*q + 6 What is the m'th term of 68981, 68958, 68935, 68912? -23*m + 69004 What is the f'th term of 2050, 9296, 21606, 38986, 61442, 88980? f**3 + 2526*f**2 - 339*f - 138 What is the t'th term of -29, 84, 291, 592? 47*t**2 - 28*t - 48 What is the o'th term of -243, -398, -649, -990, -1415, -1918, -2493? o**3 - 54*o**2 - 190 What is the l'th term of -106, -280, -482, -712? -14*l**2 - 132*l + 40 What is the d'th term of 26608, 26502, 26320, 26062, 25728? -38*d**2 + 8*d + 26638 What is the i'th term of -7182, -14019, -20856? -6837*i - 345 What is the i'th term of 7212, 56421, 189998, 450129, 879000, 1518797, 2411706, 3599913? 7031*i**3 - 2*i**2 - 2*i + 185 What is the m'th term of 2348, 5701, 10048, 15389, 21724, 29053? 497*m**2 + 1862*m - 11 What is the n'th term of 6194, 6254, 6394, 6644, 7034, 7594? 5*n**3 + 10*n**2 - 5*n + 6184 What is the r'th term of 5782, 11547, 17284, 22975, 28602, 34147? -3*r**3 + 4*r**2 + 5774*r + 7 What is the r'th term of 402, 143, -750, -2283, -4462, -7293? -r**3 - 311*r**2 + 681*r + 33 What is the d'th term of -620554, -1241008, -1861452, -2481880, -3102286? d**3 - d**2 - 620458*d - 96 What is the b'th term of -86862, -163972, -241082, -318192, -395302, -472412? -77110*b - 9752 What is the y'th term of 56438046, 225752165, 507942372, 903008673, 1410951074? y**3 + 56438038*y**2 - 2*y + 9 What is the b'th term of -148597817, -148597815, -148597813? 2*b - 148597819 What is the b'th term of 491, 2144, 5249, 10094, 16967, 26156, 37949? 48*b**3 + 438*b**2 + 3*b + 2 What is the d'th term of -446, -776, -1326, -2096, -3086, -4296, -5726? -110*d**2 - 336 What is the d'th term of -7207, -14436, -21705, -29014, -36363? -20*d**2 - 7169*d - 18 What is the a'th term of -90437, -180828, -270969, -360734, -449997, -538632, -626513? 21*a**3 - a**2 - 90535*a + 78 What is the a'th term of 156526, 156543, 156560, 156577? 17*a + 156509 What is the j'th term of -400759, -801530, -1202327, -1603162, -2004047, -2404994, -2806015? -2*j**3 - j**2 - 400754*j - 2 What is the w'th term of -414274850, -414274849, -414274848, -414274847, -414274846, -414274845? w - 414274851 What is the d'th term of -6608, -13487, -20366, -27245? -6879*d + 271 What is the q'th term of -45604, -364911, -1231610, -2919397, -5701968, -9853019, -15646246? -45616*q**3 + 5*q + 7 What is the d'th term of -10141, -79654, -268329, -635746, -1241485? -9930*d**3 - d**2 - 210 What is the b'th term of 152795, 149141, 143059, 134555, 123635, 110305? b**3 - 1220*b**2 - b + 154015 What is the q'th term of -843403, -1686819, -2530229, -3373627, -4217007, -5060363, -5903689, -6746979? q**3 - 3*q**2 - 843414*q + 13 What is the d'th term of -28651363, -28651362, -28651361, -28651360? d - 28651364 What is the a'th term of -2145, -9020, -20615, -36918, -57917? 2*a**3 - 2372*a**2 + 227*a - 2 What is the l'th term of -1163, -1272, -1493, -1832, -2295, -2888, -3617? -l**3 - 50*l**2 + 48*l - 1160 What is the b'th term of 2277296, 2277301, 2277306, 2277311, 2277316, 2277321? 5*b + 2277291 What is the b'th term of -8437017, -16874028, -25311037, -33748044, -42185049? b**2 - 8437014*b - 4 What is the k'th term of 85732, 342812, 771282, 1371142? 85695*k**2 - 5*k + 42 What is the n'th term of 1792, 1483, 1008, 373, -416, -1353? n**3 - 89*n**2 - 49*n + 1929 What is the b'th term of 2438, 7445, 11588, 11429, 3530? -573*b**3 + 3006*b**2 + 5 What is the m'th term of -7634, -5957, -4280, -2603, -926? 1677*m - 9311 What is the s'th term of -39010, -39050, -39090? -40*s - 38970 What is the z'th term of 43449, 43546, 43801, 44292, 45097? 13*z**3 + z**2 + 3*z + 43432 What is the d'th term of 131, 52, -237, -760, -1541? -4*d**3 - 81*d**2 + 192*d + 24 What is the d'th term of -6621569, -6621560, -6621545, -6621524, -6621497? 3*d**2 - 6621572 What is the o'th term of 5337, 10947, 20301, 33399, 50241, 70827? 1872*o**2 - 6*o + 3471 What is the l'th term of -17835, -17839, -17853, -17883, -17935? -l**3 + l**2 - 17835 What is the z'th term of 6285, 24849, 55795, 99129, 154857, 222985, 303519, 396465? z**3 + 6185*z**2 + 2*z + 97 What is the k'th term of 17133, 65617, 145455, 256647, 399193, 573093, 778347? 15677*k**2 + 1453*k + 3 What is the z'th term of 210078, 840343, 1890782, 3361395, 5252182? 210087*z**2 + 4*z - 13 What is the m'th term of -11680793, -46723185, -105127173, -186892757, -292019937, -420508713? -11680798*m**2 + 2*m + 3 What is the s'th term of -39275, -78623, -118057, -157583, -197207, -236935, -276773, -316727? -s**3 - 37*s**2 - 39230*s - 7 What is the t'th term of -17027750, -34055492, -51083234, -68110976? -17027742*t - 8 What is the z'th term of -8555866, -8555864, -8555862, -8555860, -8555858, -8555856? 2*z - 8555868 What is the u'th term of -4423, -8946, -13443, -17914, -22359, -26778, -31171? 13*u**2 - 4562*u + 126 What is the s'th term of -117, -2127, -7935, -19437, -38529, -67107, -107067, -160305? -316*s**3 - 3*s**2 + 211*s - 9 What is the g'th term of -112, -741, -2396, -5587, -10824, -18617, -29476, -43911? -85*g**3 - 3*g**2 - 25*g + 1 What is the x'th term of 16385, 64272, 144085, 255824? 15963*x**2 - 2*x + 424 What is the b'th term of 43687, 44121, 44555, 44989, 45423, 45857? 434*b + 43253 What is the c'th term of -10991, -21429, -31859, -42281, -52695? 4*c**2 - 10450*c - 545 What is the v'th term of -2329353, -2329270, -2329173, -2329056, -2328913, -2328738? v**3 + v**2 + 73*v - 2329428 What is the z'th term of -42480, -85047, -127686, -170397, -213180? -36*z**2 - 42459*z + 15 What is the s'th term of 30013591, 30013583, 30013571, 30013555, 30013535? -2*s**2 - 2*s + 30013595 What is the h'th term of 2310, 5685, 10034, 15357, 21654? 487*h**2 + 1914*
{ "pile_set_name": "DM Mathematics" }
*3 + 9*g**2 + 6*g - 7. Let j(r) = -7*r**3 + 9*r**2 + 5*r - 8. Let k(s) = 5*j(s) - 6*z(s). Calculate k(10). -8 Let c(d) = 5*d - 49. Let h(p) = p - 12. Let f(t) = -2*c(t) + 9*h(t). Determine f(0). -10 Suppose 3*d = 4*f - 22, -10*d = -14*d - 4*f + 8. Let z(a) = -a**3 + 2*a**2 - 3*a - 3. Give z(d). 19 Let f(s) = -s**2 + 2*s + 2. Let j(k) be the second derivative of -5*k**4/12 + 3*k**3/2 + 9*k**2/2 + 3*k. Let w(b) = 9*f(b) - 2*j(b). Calculate w(-2). 4 Let b(o) be the third derivative of o**4/24 - o**3/2 - o**2. Let c(n) = n**2 - 3*n - 23. Let i be c(7). Give b(i). 2 Let k be (0 - 1)*(0 - 0). Suppose k = -7*j + 2*j - 30. Let h(n) = -2*n - 7. Calculate h(j). 5 Let k(c) = c**3 - c**2 - 2*c + 2. Let t be k(2). Let m = t - 1. Suppose 2*w - 1 = 3*b, -m = -4*w - 5*b - 10. Let r(n) = n**2 + n + 1. Determine r(w). 1 Let f(r) be the first derivative of -7*r + 7*r + 0 - 2 + r**2. Determine f(2). 4 Suppose -4*y - 13 = u, -5*y + 6 - 1 = -3*u. Let l = 0 + 0. Let h(q) = l - 3*q**2 - q + 0*q - 2*q - 3. What is h(y)? -9 Let c be 6*(-3 + 2)*-1. Let b(l) = -5*l**3 - 6*l - 13. Let a(q) = 11*q**3 - q**2 + 13*q + 27. Let n(h) = -6*a(h) - 13*b(h). What is n(c)? 7 Let l(v) = 57*v - 28*v - 1 + v**2 - 28*v. Determine l(-2). 1 Let a(l) be the first derivative of -11*l**3/3 - l - 11. Calculate a(-1). -12 Suppose 0 = -2*i - c + 1, -2*i - 2*i + 17 = 5*c. Let q(t) = -2*t**2 - t - 1. Determine q(i). -7 Suppose 3*u - 4 = 8. Suppose 3*c - 9 = 0, 7*c = -u*z + 2*c + 27. Let s(d) = -d**3 + 2*d**2 + 4. Calculate s(z). -5 Let p(w) = w + w**3 - 4*w**2 - 153 + 153. Calculate p(3). -6 Let r = -16 + 22. Let o(f) = f**3 - 6*f**2 + f - 8. Calculate o(r). -2 Let t(n) be the third derivative of n**5/120 + n**4/4 + n**3 - 5*n**2. Let m(o) be the first derivative of t(o). Determine m(-6). 0 Let q(n) = n + 5. Let m be q(0). Let y(o) = -5 - o**3 + m*o**2 - 2*o - 5*o**2 + 5*o**2. Suppose 89 - 85 = h. What is y(h)? 3 Let y(z) = -5*z - 2. Let n = 7 - 2. Let j(p) = -1 + n*p - 4*p + 2 - 2*p. Let s(q) = 2*j(q) + y(q). What is s(-1)? 7 Let z be 4/6 + 174/9. Suppose -2*h = -2*n - 52, z = -0*h + h - 4*n. Let x be (-4)/(-6) + h/(-6). Let b(y) = -y - 3. Calculate b(x). 1 Let z(r) = -r + 1. Let i = 10 + -15. Let m = i + 5. Calculate z(m). 1 Let x = 4 - 4. Let y(c) be the second derivative of 0 + 11/2*c**2 - 1/6*c**3 - c. Determine y(x). 11 Let o(j) be the third derivative of -j**4/12 - 2*j**3/3 - 2*j**2. What is o(-5)? 6 Suppose -o = 2*o + 33. Let p = -7 - o. Suppose -2*b - 26 = p*w, -4*w - 3*b - 33 = -2. Let d(r) = -r**3 - 4*r**2 - 2*r - 6. Give d(w). 2 Suppose r - 2*r = -5*o, 4*r = 5*o. Let f = 0 - o. Let v(b) = -b + f + 0 - 1. Calculate v(2). -3 Let b(v) = 3*v - 3. Suppose 4*w - 16 = 2*w + 3*f, -3*f = -5*w + 22. Suppose 3*z + 3 = -2*j, 0 = j - 4*j + w*z - 11. Give b(j). -12 Let j(i) be the third derivative of i**5/15 + i**4/12 - i**2. Let o be (5 - (2 - -1))*-1. Determine j(o). 12 Let w = -6 + 8. Let z(g) = 4 + 0*g - w*g + 1. What is z(4)? -3 Let u(f) = -4*f + f**2 + 3*f**2 - 5 - 3*f**2. Let m(b) = -b**3 + 6*b**2 - 3*b - 6. Let j be m(5). What is u(j)? -5 Let v be 2/(-4) - 18/4. Let s be 12/2*(-2)/(-6). Let p(u) = -3 + u**3 + 3*u**s + 9*u - 8*u + 2*u**2. What is p(v)? -8 Let h(c) = -c**3 - 6*c**2 - 6*c - 2. Suppose 19*q = 15*q - 20. Determine h(q). 3 Let n(r) be the second derivative of r**3/6 + 7*r**2/2 + 125*r. Let a = -2 - -3. Let g = -1 + a. Give n(g). 7 Let v(q) = 49*q - 25*q - 26*q + 1 - 2. What is v(5)? -11 Let c(d) be the third derivative of d**5/20 + d**4/24 - d**2. Let u(j) = j - 4. Let l be u(5). Let g be l*(-1 - -4) + -2. What is c(g)? 4 Let j(h) = -5 - 2*h - 11*h + 10*h. Give j(-4). 7 Let b(q) be the second derivative of q**4/6 - q**3/3 + 3*q**2/2 - 11*q. What is b(2)? 7 Let h(u) = 14*u + 8. Let f(a) = -5*a - 3. Let s(r) = -11*f(r) - 4*h(r). Let z = -6 + 17. Let v(k) = -k**3 + 10*k**2 + 12*k - 16. Let n be v(z). Calculate s(n). 6 Let w be (5/(-30)*2)/((-1)/9). Let y(p) be the third derivative of -p**4/12 + p**3/6 - p**2. Determine y(w). -5 Let d(o) = o**3 + 3*o**2 + 2*o + 1. Let j be d(-3). Let b = 1 + j. Let v(h) = -h**3 - 4*h**2 + 2*h - 2. Give v(b). -10 Let s = -4 - -7. Let t(m) be the third derivative of -1/8*m**4 + 0*m**s + 0*m + 1/15*m**5 + m**2 + 0 - 1/120*m**6. Give t(3). 0 Let d be (-10)/4*(-20)/25. Let z(a) = d*a**2 - 1 - 4*a**2 - 3*a + a**2. Give z(-4). -5 Let u(x) = -x**2 + 8*x - 9. Let s be u(7). Let k(n) = 8*n + 6. Let f(z) = z**2 - z - 1. Let c(p) = -4*f(p) - k(p). Calculate c(s). -10 Let x(d) = -d**2 + d + 1. Let u(j) = 2*j**3 - j**2 - 4*j + 3. Let t be u(2). Let m = t - 12. Let v be 1/5 + (-9)/m. Give x(v). -1 Let d(o) = -o**3 - 4*o**2 + o - 5. Suppose 0 = h, -6*h - 12 = 4*m - h. Let q be -6 + -1 + (0 - m). What is d(q)? -9 Suppose -2*o + 2 = 2*r - 2, -2 = -o + 4*r. Suppose q - 5*q + o*a = -6, 2*a - 10 = 0. Let d(x) = -x + 4. Calculate d(q). 0 Let r(i) = i**3 + 1. Let f(z) = z**3 + 2*z**2 - 1. Let b(v) = -f(v) + 2*r(v). What is b(3)? 12 Let n(a) be the second derivative of -a**3/6 - 4*a**2 + a. Suppose 5*b + 11 = -19. What is n(b)? -2 Let r(i) = 2*i - i + 1 + 1. Let a be r(3). Let u(s) = 3*s - 7. Let o(k) = 6*k - 14. Let f(b) = -3*o(b) + 7*u(b). What is f(a)? 8 Let w(g) = g**2 - 7*g + 5. Suppose 0 = -0*u + 4*u. Let d = -26 + 46. Suppose 7*o = 3*o + 3*h + 25, u = 2*o - 4*h - d. Calculate w(o). -7 Suppose 9 = 5*w - 1. Let n(c) = -2*c**2 + 3*c**3 - c - w*c**3 + c**2. Let r(l) = 3*l**3 - 8*l**2 - 5*l + 2. Let y(f) = -5*n(f) + r(f). Calculate y(-2). 6 Let s be (-6)/((-57)/66 - -1). Let z be 4/(-6) - s/(-6). Let x = -6 - z. Let g(d) = -2*d + 3. Determine g(x). -1 Let a(u) = -4*u**2. Suppose -10*q - 24 = -6*q. Let w be -2*(-6)/(-4) - 2. Let o = w - q. Calculate a(o). -4 Let r(h) = -6*h**2 + 7*h + 4. Let p(m) = m**2 - m - 1. Let a(j) = -5*p(j) - r(j). Calculate a(1). 0 Let y(q) be the second derivative of q**6/72 + q**5/120 + q**3/2 - 4*q. Let z(i) be the second derivative of y(i). What is z(1)? 6 Let q = 6 + -7. Let a be (-6)/4 + (-6)/(-4). Let t(w) = 0*w + 1 - w + 3*w + a*w. Determine t(q). -1 Let t = 0 - -5. Suppose -d = -0 - t. Let n(g) = -g**2 + 4*g. Give n(d). -5 Let p(r) be the third derivative of r**4/2 - r**3/6 - r**2. Calculate p(1). 11 Let l(q) = 5*q**3 + q**2 - 6*q + 2. Let w(h) = 9*h**3 + 3*h**2 - 12*h + 3. Let f(k) = -11*l(k) + 6*w(k). What is f(5)? 16 Let j(l) = -4*l - 1. Let p(n) = -n**3 - 4*n**2 + 12*n + 7. Let d be p(-6). Suppose -r + d - 5 = 0. Calculate j(r). -9 Let a(p) be the first derivative of p**4/4 + 2*p**3/3 + p**2/2 + p + 1. Let m = 6 - 8. What is a(m)? -1 Suppose 0 = -2*j + 5*f + 30, -j = -2*j - f + 1. Let n(w) = j*w + 4 - 3*w - 3*w - w. Calculate n(5). -6 Let b(z) = -6*z**2 - 4 + 0 - z + 5*z**2. Calculate b(0). -4 Let h(j) be the first derivative of -3*j**4/4 - 4*j**3 + 5*j**2 + 6*j + 3. Let k(b) = b**3 + 6*b**2 - 5*b - 3. Let n(t) = 2*h(t) + 5*k(t). Determine n(5). -3 Let v be 20*(3 - 10/4). Let u = -15 + v. Let r be (6/u)/(2/5). Let q(k) = k**3 + 5*k**2 + 3*k - 4. Calculate q(r). 5 Let k(m) = 19*m - 36. Let q(w) = 7*w - 12. Let x(d) = -3*k(d) + 8*q(d). Determine x(6). 6 Let f = 8 + 4. Suppose f = 2*p + 2. Let t(x) = -4*x**2 - 3*x - x**2 + 2*x**2 + 2*x**2 + p. What is t(-5)? -5 Let a(g) be the second derivative of -g**5/20 - 2*g**4/3 - 3*g**3/2 - 4*g**2 + 17*g. Determine a(-7). 6 Let k(o) = -3*o - 1. Let j(x) = x**3 + 5*x**2 + 4*x - 3. Let m be j(-4). Let w be (-10)/30 + (-7)/m. What is k(w)? -7 Let r(j) = 3*j - 2*j**2 + 0*j - 4*j - 6*j**3 - 4*j**3. Give r(-1). 9 Let r be 14 + (4 - (-2)/(-1)). Suppose 0 = 4*c + r. Let q(x) = -x**3 - 5*x**2 - 6*x. Give q(c). 8 Let m be 1 - -4 - (0 - 0). Let h(c) = 5*c**3 - 6 + 5 + 5*c**2 - 6*c**3. Give h(m). -1 Let b be ((-28)/(-2))/((-6)/(-3)). Let g = -2 + b. Let d(z) = -1 - g + 1 + z. Calculate d(5). 0 Let u be (-3)/6*-4*2. Suppose -u*l + 10 = l. Let k(m) = m**3 - 2*m**2 - m + 1. Determine k(l). -1 Let v(b) = -b**2 - 3*b - 1. Let d = -11 - -9. What is v(d)? 1 Let r(w) = -w**2 - 6*w. Suppose 0 = -t + 3*t + 12. Let d be r(t). Let j(g) = 3*g**2 - 8 - 4*g**2 - g**3 - g + 0*g**2. Determine j(d). -8 Let h be 0/(1 - 4 - -4). Let r(q) = -q - 10. Suppose -2*z - 21 = -7. Let n(c) = c + 11. Let t(p) = z*r(p) - 6*n(p). Give t(h). 4 Let v(g) = -5*g**3 - 2*g**2 + 1. Let a = 3 - 5. Let l be -1 + a*6/3. Let j(b) = -b**2 - 6*b - 4.
{ "pile_set_name": "DM Mathematics" }
What is next in 7329, 7325, 7321? 7317 What is the next term in -3271, -6454, -9637? -12820 What comes next: 3133, 25087, 84675, 200713, 392017, 677403? 1075687 What is the next term in -25011, -25231, -25825, -26979, -28879, -31711, -35661? -40915 What is next in -146, -1325, -2504, -3683? -4862 What is next in -1530, -3051, -4572, -6093? -7614 What is next in -12102, -12087, -12062, -12027, -11982? -11927 What is the next term in -1221298, -1221299, -1221300, -1221301, -1221302? -1221303 What is next in -506995, -506994, -506993, -506992, -506991, -506990? -506989 What is next in 1380, 2413, 3446, 4479, 5512, 6545? 7578 What comes next: -879924, -1759847, -2639770? -3519693 What comes next: -880, -5337, -12764, -23161, -36528, -52865? -72172 What is the next term in 14075, 14140, 14205, 14270? 14335 What is next in 58324, 58322, 58320, 58318, 58316? 58314 What is next in 69017, 138008, 206999? 275990 What comes next: 120, 102, 46, -42, -156? -290 What is next in 574595, 574593, 574591, 574589, 574587, 574585? 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244210 What is the next term in 794, 1585, 2376, 3167, 3958, 4749? 5540 What is next in -117, -139, -115, -21, 167, 473? 921 What is next in -2324, -2330, -2340, -2354, -2372, -2394? -2420 What comes next: -5623, -5425, -5229, -5035, -4843, -4653? -4465 What is next in 1764, 3549, 5322, 7077, 8808? 10509 What is next in 892, 1756, 2618, 3478, 4336, 5192, 6046? 6898 What is the next term in 3002, 6076, 9232, 12470, 15790, 19192, 22676? 26242 What is next in 145, 234, 323, 412, 501, 590? 679 What is next in 32536, 32523, 32502, 32473? 32436 What is next in 412, 1676, 3782, 6730? 10520 What comes next: 612228, 612215, 612198, 612177, 612152, 612123? 612090 What is the next term in -7047, -14096, -21161, -28248, -35363? -42512 What is the next term in -471, -716, -1123, -1692, -2423? -3316 What is the next term in -1120, -2259, -3444, -4699, -6048, -7515? -9124 What comes next: 420, 591, 7
{ "pile_set_name": "DM Mathematics" }
, a, h Suppose -142 = 24*d + 506. Put d, -2, -5, 5 in increasing order. d, -5, -2, 5 Suppose -3*o = -3*s - 45, -2*o = 3*s - 27 - 8. Suppose 17*y + 182 = -107. Let d = o + y. Put 5, 2, d in descending order. 5, 2, d Let f be 3 - (-3 + 99/18). Put -35, f, -10 in ascending order. -35, -10, f Suppose -3*g = -g - 2*h + 32, h + 49 = -4*g. Let j = -11 - g. Put 4, -5, j in decreasing order. 4, j, -5 Let v = 0.53 - 14.13. Let u = v - -9.6. Sort -2, 2/37, u, 0. u, -2, 0, 2/37 Let b = -1.987 + -0.013. Let s = -41.3 + 41. Sort -0.4, s, b, 4. b, -0.4, s, 4 Suppose -i + 0*i = 0. Let j = 122 - 125. Put j, 5, i in increasing order. j, i, 5 Let w be 3 + (4 - 3) + 1. Suppose -2 = -4*g + 2*l, -4*l = g - 2 + 15. Put -3, g, 1, w in increasing order. -3, g, 1, w Let u be -6 + 6/4*2. Let g(f) = 2*f + 14. Let w be g(-10). Let s be (-2)/w - 7/12. Put s, u, -2 in decreasing order. s, -2, u Let o = 1.3 + -1. Let u = o - -0.7. Let f = -6.3 + 6. Sort f, u, -1/6 in increasing order. f, -1/6, u Suppose -17*h + 3 = -48. Sort -4, h, 5 in increasing order. -4, h, 5 Let w = -10 - 3. Let u = 17 + w. Put -3/7, u, 0.09 in descending order. u, 0.09, -3/7 Let u(x) = 24*x + 1375. Let l be u(-57). Put 2, -2, l, 6 in descending order. l, 6, 2, -2 Let t = -7 + 13. Let v = 16 + -6. Suppose 5*i - v = -0. Sort i, 1, t in descending order. t, i, 1 Let l = -10 + 13. Suppose -3 = -l*f, -3*t = -t - 2*f + 2. Suppose 5*v = -8 - 7. Put v, 1, t in ascending order. v, t, 1 Let l = -192 - -187. Let v(a) = a - 1. Let y be v(1). Sort l, -1, 5, y in descending order. 5, y, -1, l Let k(m) = m - m - m + 0*m - 1. Let z be k(-4). Let r be 3/(-2)*(-136)/(-51). Put -1, z, r in descending order. z, -1, r Let q = -0.2 + 0. Let l = 0.4 + q. Let j = 18 - 16. Put l, -0.5, j in descending order. j, l, -0.5 Let q = -32 + 60. Let r = -23 + q. Let o = 2.4 + -2. Sort r, -3/8, o. -3/8, o, r Suppose 5*t = 4*c + 318, 2*t - 5*c + 57 = 191. Put 11, 0, t, 1 in decreasing order. t, 11, 1, 0 Suppose -2*p = 2*m, -5*m = 3*p + p - 5. Suppose m*x - 16 + 11 = 0. Suppose 3*w + 5*l = 19, w = 3*l - 1 - 2. Sort 0, w, x in decreasing order. w, x, 0 Let a(r) = 5 + r**2 + 4 - 5. Let o be a(0). Let g be (o - 5)*(2 - -1). Sort g, 3, -2 in decreasing order. 3, -2, g Let u = -2 + -1. Let f be 845/5577 + (-1 - (-2)/3). Put u, -2/31, f, 3 in decreasing order. 3, -2/31, f, u Let p be (1 - -3) + (-2 - 3). Suppose -40 = -3*k + 95. Let s be 6/k*(-5)/4. Put p, s, -2/5 in descending order. s, -2/5, p Suppose 19 = -3*s + 5*g - 1, 0 = -4*s + 3*g - 12. Put -4, -1, 3, s in ascending order. -4, -1, s, 3 Let r be 4*((-3 - -1) + -9)*4. Sort r, 3, -3. r, -3, 3 Let p = -49.12 + 50. Let t = -144 - -144.12. Let o = t + p. Sort -0.1, o, -5 in descending order. o, -0.1, -5 Let v = 1.99 + 0.01. Let l = 0.5 - 0.6. Let c = 0.1 - l. Put c, -0.5, v in decreasing order. v, c, -0.5 Let d = -15 + 17. Suppose -d*g + 4*x = 30, -5*g - 25 - 5 = -x. Sort g, -2, 2 in decreasing order. 2, -2, g Let r = -22 + 20. Let i be 5 - 9 - -8 - (r - -4). Let a be 0 + -1 + -2 + 0. Sort i, a, -1 in increasing order. a, -1, i Let k(o) = -o**2 + 11*o - 7. Let f be k(10). Suppose -x + f*x = 6. Suppose -2*l + 3*l = -x. Put -0.4, 5, l in descending order. 5, -0.4, l Suppose 1 = 57*j - 113. Sort 1/5, j, 3, 8/9. 1/5, 8/9, j, 3 Let t = 0 - -0.05. Let o = t + 4.95. Let f be 11 - 81/(-45) - 13. Put f, 0.2, o in ascending order. f, 0.2, o Let d = 572.5 - 572. Sort d, -2/7, 2/27, -0.1 in ascending order. -2/7, -0.1, 2/27, d Suppose 0 = -62*x + 64*x. Suppose -v + 7 = -2*o + 2, 2*v - 3*o - 7 = x. Sort 5, v, 2 in decreasing order. 5, 2, v Let a be -2 + (-4 - -4 - 2). Let k be a/(1/9*-3). Let q be (1/(-3))/(2/k). Put q, -6, -4 in ascending order. -6, -4, q Suppose -20 + 1 = j - 5*k, 4*k - 18 = -2*j. Let v = 312 + -326.9. Let u = 9.9 + v. Sort j, -1, u in ascending order. u, -1, j Let s(c) = 72*c + 76. Let z be s(-1). Let a be (6/(-4) - -1)*8. Put a, -2, z, 3 in increasing order. a, -2, 3, z Let s be -4 - (1 + -2) - -10. Let i(x) = 3*x - 49. Let j be i(17). Put s, -5, 5, j in decreasing order. s, 5, j, -5 Let l = 0.6 + -0.2. Let s be 4/(14/(-21)*-9). Let n = -13.97 + 14. Put n, l, s in decreasing order. s, l, n Let i(t) = 10*t**2 + t. Let v be i(-1). Let d = -43 + 46. Suppose -3*o = -6*m + 4*m + v, m = -d*o - 18. Put 1, 4, o in increasing order. o, 1, 4 Let c be (-46)/115*(1 - -29)/(-3). Put 3, 2, c, -278 in decreasing order. c, 3, 2, -278 Let d be (0 + -1)*(-1 + 4). Put -2, d, 4/9, 74 in decreasing order. 74, 4/9, -2, d Let r = 561 + -560. Put -5, -34, r, -2 in increasing order. -34, -5, -2, r Suppose -4*p - 5*o = -3*o - 4, -p - 3*o - 4 = 0. Suppose -17*y + 14*y + 129 = 0. Sort -2, p, y, 0 in decreasing order. y, p, 0, -2 Suppose 0 = -s + 4*n - 4, n = 2*s + s + 1. Suppose s = -2*z + 3*p + 8, -2*p = -5*z + 5 + 15. Let b = 0.36 + -0.16. Put b, z, 2/7 in descending order. z, 2/7, b Suppose -1 = -2*p + i - 10, 0 = -3*i + 15. Sort 55, -3, p, 2 in increasing order. -3, p, 2, 55 Let g be (-80)/15*((-14)/4 - -2). Let v(a) = 5*a - 38. Let l be v(g). Put -1, -3, -5, l in increasing order. -5, -3, -1, l Suppose 0 = 4*k - 0*k. Suppose 57*g = 51*g + 150. Suppose k = -5*d - 5*t + g, -3*d - 2*t + t + 13 = 0. Put 2, d, 0 in descending order. d, 2, 0 Let p = -25 + 32. Suppose -p*y - 6 = -6*y. Sort 0, y, 4 in increasing order. y, 0, 4 Suppose -3*k + 2*k - 11 = 4*g, -3*k = -5*g - 18. Let u be -1 + 3 + k + -9. Put 0, 2, u, 4 in ascending order. u, 0, 2, 4 Let m = 426 - 326. Sort -5, m, 5/2 in decreasing order. m, 5/2, -5 Let l = -13 - -28. Let z(y) = -21*y - 5 - l*y + 37*y. Let g be z(3). Put g, -3, 1 in increasing order. -3, g, 1 Let q(x) = x**2 + 7*x + 12. Let f be q(-4). Sort 0.3, f, 1, -4 in descending order. 1, 0.3, f, -4 Let x(g) = g**3 - 4*g**2 + 2*g + 1. Let b be x(3). Let d = 4 + b. Sort d, 6, 5. d, 5, 6 Let a = 0.356 - -0.144. Put -0.3, -3, 12/17, a in increasing order. -3, -0.3, a, 12/17 Let p be 4/100*40/4. Sort -3, p, 1.1, 0 in ascending order. -3, 0, p, 1.1 Suppose -y = 5*p + 5 + 12, -5*y + 5*p = -5. Suppose -5*r = 5*g + 15, 3*r - 2*r + 5*g = 1. Sort 8, r, y in descending order. 8, y, r Let g = 12 + -12. Let t be (-2 - g)/(8/(-24)). Suppose -13 = -3*q - 1. Put -3, q, t in ascending order. -3, q, t Suppose 161 = 4*r + 393. Let n = 71 + r. Let i = 59/42 + 2/21. Put i, n, 1 in ascending order. 1, i, n Let o = -4.73 + 4.33. Put -0.09, 2/5, -11, o in decreasing order. 2/5, -0.09, o, -11 Let i = 70 + -91. Let j = -25 - i. Put 1, j, 0 in ascending order. j, 0, 1 Let d = -1878 + 1883. Sort 2, d, -59 in increasing order. -59, 2, d Let x(z) = -z**2 - 4*z + 5. Let p be x(-5). Let t = 5 + -3. Put -2, t, p in descending order. t, p, -2 Let x = 12 - 7. Let q(h) = -h**3 + 4*h**2 - h - 5. Let g be q(3). Let n be (8 - 9)*(g - 1). Sort -4, n, x. -4, n, x Suppose 4*s = -0*s + 16. Suppose s*z - 124 + 18 = -3*c, -80 = -3*z - 2*c. Sort 4, -4, 3, z in ascending order. -4, 3, 4, z Suppose 10*z - 132 = -142. Sort z, -17, -3, 2. -17, -3, z, 2 Let v(b) = 8*b - 3. Let n be v(2). Let g = 275 + -290. Let k = g + n. Put 2, 14, k in ascending order. k, 2, 14 Let j = -24 - -18. Let q = j - -10. Sort 1/9, -6, q in decreasing order. q, 1/9, -6 Let f = -28 + 39. Suppose f + 4 = 4*p - 3*u, -3*p = 3*u + 15. Suppose p = -g - 0*g. Sort 4, g, -3. -3, g, 4 Let t = 823 - 822. Sort 0, -11, t, 5 in increasing order. -11, 0, t, 5 Let y(l) = -l - 2. Let f = -10 + 15. Let r be 1/(-3)*-3 - f. Let c be y(r). Put -0.1, 3, c in decreasing order. 3, c, -0.1 Let i = 187 + -183. Put -2, i, 8, -5 in increasing order. -5, -2, i, 8 Let l = -777 - -782. Put l, -39, 0.06 in descending order. l, 0.06, -39 Suppose -27 = -5*v + 5*c + 3, 3*c + 11 = -4*v. Suppose x - v = 0, -143 - 7 = t - 2*x. Let z = t + 1626/11. Sort 1/5, z, 3/4 in ascending order. z, 1/5, 3/4 Let g = -11 + 3. Let x = 0.0641 + 0.2359. Put 0, g, -4/3, x in increasing order. g, -4/3, 0, x Suppose -13 + 19 = 5*j - 3*b, 5*j = 2*b + 4. Put j, 9, -3 in decreasing order. 9, j, -3 Let q = 2391/7 - 341. Sort 1/9, 2, q, 3/8 in increasing order. 1/9, 3/8, q, 2 Let a = 0.45 + -37.45. Let c = -34 - a. Put c, -3, 1, 0.5 in ascending order. -3, 0.5, 1, c Let j = -0.3 - -0.2. Let k = 0.4 + j. Let l(h) = 267*h + 1065. Let i be l(-4). Sort k, i, -3/4. i, -3/4, k Suppose d = 3*p - p + 5, 4 = -2*p. Let l be (-234)/(-546)
{ "pile_set_name": "DM Mathematics" }
= -12 + 17. Let h = 58 + -59. Let t = 0.0756 + -0.0256. What is the third smallest value in h, j, t, 4? 4 Let d = -0.1992 - -5.1992. Which is the third biggest value? (a) 174 (b) d (c) 3 c Let s be (2/(-3))/((-30)/(-585)). Let g = s - -11. Let l = 8 + -5. What is the second biggest value in l, g, 4, -5/6? l Let j = -1498.3 + 1260.3. Which is the third biggest value? (a) -2/7 (b) 5 (c) j c Let v = -22.8 - -22.99. Let o = v + -0.29. Which is the third biggest value? (a) 0.081 (b) 2 (c) o c Let v(l) = 5*l**2 + 41*l - 34. Let r = 198 + -207. Let y be v(r). Which is the second smallest value? (a) -2/17 (b) y (c) 11 b Let u = 360 + -363.51. Let w = -614 + 613.51. Let k = u + w. Which is the smallest value? (a) -1 (b) -0.1 (c) k c Let k = 5.32 + -8.365. Let j = 0.045 + k. Which is the second smallest value? (a) -1/14 (b) 0 (c) j a Let i(x) = -x**3 + 8*x**2 - 6*x - 11. Let r be i(7). Let p = 191 + -209.4. Let q = -18 - p. Which is the biggest value? (a) r (b) q (c) -2/39 b Let c = -9804 - -9805. What is the biggest value in -1, 33.34, c, -2? 33.34 Let t = -101/20 - -21/4. Let s = 471 - 660. Let l be (-9)/(s/(-14)) - 7/12. Which is the smallest value? (a) 1 (b) l (c) t b Let k = -1795.1 + 1565. Let i = 230 + k. What is the smallest value in -0.03, i, -4, -3? -4 Let f be ((-9)/(-18))/(4/16) - (0 - 0). Which is the fourth biggest value? (a) 5 (b) -32 (c) f (d) -62 d Let s = -75 - -77. Suppose -3*v + s*h + 3*h = 6, -v + 3*h - 2 = 0. Let i = -90/1343 + -4/79. Which is the third biggest value? (a) i (b) v (c) 1/8 b Let l = -24225 + 24230. Which is the second biggest value? (a) l (b) -5 (c) 2 (d) -0.388 c Let t = -1152 - -1151.8274. Let w = 0.0274 - t. Let m = -0.5 - -0.9. What is the third biggest value in 0.7, w, m? w Let v = 14.4 - 14.45. Let y = -10 - -10. Let n be 0 - (y + 1 - (3 + -1)). Which is the second smallest value? (a) -4 (b) 0.2 (c) n (d) v d Suppose k + 6*h + 4 = 3*h, 4*h = 0. Let x = 283.72 + -271. Let t = -0.28 - x. Which is the biggest value? (a) 4 (b) k (c) 3 (d) t a Let d = -6141.1 + 6141. What is the third smallest value in -1/7, -4, d, 2/3, -36? -1/7 Let u be ((-68)/6)/(76/1026). Let i be 2/3 + 204/u. Which is the fourth biggest value? (a) i (b) -1/2 (c) 0.5 (d) 2/29 a Let w = 0.4 + 0. Let x = 0 - w. Let f = 5.958 + -3.958. What is the smallest value in -1, f, x? -1 Let g = 26 + -22. Suppose -9 + g = -p. Let l = -90.6 + 91. What is the second smallest value in l, p, 0? l Let m = -75 - -74.838. Let y = -0.182 - m. Let d = -22 - -22. Which is the second biggest value? (a) d (b) -2 (c) y c Let t be 7/((-56)/(-32))*327/(-18). Let x be (-324)/30*(-40)/6. Let b = t + x. What is the second biggest value in 4, 0, b, -5? 0 Let w be (-2)/(-4) + (-143)/(-286). Which is the third smallest value? (a) w (b) 255 (c) 0 b Let d = -58.911 - 0.089. Let c = d + 62. What is the second smallest value in c, -5, 4, 2/15? 2/15 Let l = 1379 - 1379.4. What is the third biggest value in l, 3, 19, 5? 3 Let x = -224349385/1544 + 145304. What is the third smallest value in -3/2, -0.5, x? x Let n(w) = -w**2 - w - 19. Let z be n(0). Let m be 9/(-12) + z/(-36). Let g be 875/280 - ((-2)/16)/(-1). Which is the biggest value? (a) m (b) -2/7 (c) g c Let k(d) = -d**2 - 66*d - 745. Let f be k(-51). What is the second smallest value in -0.3, -5, f, 3, -8? -5 Let p(v) = 28*v + 20. Let k be p(4). Suppose -4*j - 122 = 3*l - 8*l, 5*l = -j + k. Let g be l*(4 + (-9)/2). What is the second smallest value in g, -3, 5? -3 Suppose -5 + 69 = -8*a. Let x = -34.09 - -34.49. What is the second biggest value in a, x, -2/3, -1/3? -1/3 Let c = 0.3716 + -0.6716. What is the biggest value in c, 5, 1/68, -2/9? 5 Let a = 0.071 + 107.429. Let x = a + -107. Suppose 0 = -y + 1. What is the third biggest value in y, x, -7? -7 Let n be (-19)/3211*-26 - 3/(-156)*-6. Which is the fourth smallest value? (a) -0.12 (b) 0.1 (c) -0.1 (d) n (e) 4 b Let n = 4237 - 4241. Let p = 2 - -1. Let m = 2 + -1.92. Which is the second biggest value? (a) p (b) 4/5 (c) m (d) n b Let f(d) = -120*d + 11128. Let p be f(93). Let y = -0.1 + 0.1. Which is the second smallest value? (a) 0.3 (b) y (c) p b Let d = 11272.5 + -11273. What is the fifth biggest value in 2, -2, d, 5, -37? -37 Let k = 1/8 - -3/8. Let f(q) = q**2 + 20*q + 28. Let y be f(-19). Suppose 0*m + y = 3*m. Which is the third biggest value? (a) k (b) m (c) -4 c Let y = 0.85 + -8.65. Let w = y - -13.8. Which is the biggest value? (a) w (b) 0.05 (c) -0.4 a Let a be 6/10*20/28. Let y = -7253 - -7255. What is the fourth biggest value in y, 3/10, 4, a? 3/10 Let i be 30/405 - (-73)/108. Let y = 2.7 - 3. Let h(l) = -l**2 + 4*l + 3. Let v be h(4). Which is the biggest value? (a) y (b) 2 (c) i (d) v d Let f = -542 + 547. What is the third biggest value in 262, f, 0.3? 0.3 Let g = -183.18 + 182.18. Which is the fourth biggest value? (a) -0.3 (b) 0.4 (c) -3 (d) g (e) 9 d Let w = 5.3924 + -0.3924. Which is the smallest value? (a) w (b) 0.1 (c) -4/5 c Let x = 10282 + -10281.8. What is the fifth biggest value in 2/15, x, -0.4, 3, 6? -0.4 Let t be (-7 - -8)/(-9 + 2). Let o = -11 - -12. Let f be (-33)/9 + 4 + -4 + 2. What is the biggest value in f, o, t? o Let v = 3924 + -19622/5. Which is the second biggest value? (a) -3 (b) 4 (c) -10/7 (d) v (e) 3 e Let d be (-7)/(-1) - (80927/12397 - 6/(-14)). What is the third biggest value in 5, d, 20, 5/4, 1/4? 5/4 Let f = 3.5 + 0.5. Let p = 504.92 - 10.92. Let v = p + -493. What is the smallest value in v, -0.24, f? -0.24 Let n = -0.01 + -1.99. Suppose -4*o - 171*s = -175*s - 44, 0 = -3*o - 2*s + 3. What is the third biggest value in 2, n, o, -3/14? -3/14 Suppose 0 = -2*i - 10 + 26. Suppose -207*m = -67*m - 140. What is the biggest value in m, i, 2/15? i Let w = -0.02 - 2.98. Let d = -699 + 699.03. What is the biggest value in 0, d, w? d Let b = -97.84 + 97.34. What is the fourth biggest value in -211, -5, b, 0.1? -211 Let n(o) = -o + 8. Let a be n(6). Suppose 0 = -2*j - 2, v - 3*j - j = a. Let z = -13.737 + 13.667. What is the second biggest value in 0.1, 0.3, z, v? 0.1 Let v = 494/15 - 97/3. Let u = 29.72 - 2.42. Let y = 27 - u. Which is the smallest value? (a) 0.17 (b) y (c) v b Let s = -2699.9 - -2700. Which is the smallest value? (a) -2 (b) s (c) 1/2 (d) 345 (e) 0.2 a Let b = 157 + -116. Let p = -71 + b. What is the second smallest value in p, -4, 0.1? -4 Let c = 67.876 + -68. Let a = c - 3.876. What is the second biggest value in -3/10, a, 0, 3? 0 Let m = 3 - -19.2. Let g = m - 22. Let n = -0.2 + -0.3. Which is the smallest value? (a) 2 (b) g (c) 3 (d) n d Let b = -6731.3 - -6731. What is the fifth smallest value in 0.1, 0.08, b, 3, -0.5? 3 Let u = -1412 + 1415. Suppose -9*l + 72 = -u*l. Let z = 3.2 + -3. What is the third smallest value in -3, z, l? l Let c = -0.029 - 25.971. Let a = -19.953 - 0.047. Let t = a - c. What is the third smallest value in 5, t, 0.5? t Let k = -25585 + 25581. Which is the third biggest value? (a) k (b) 8 (c) -3.7 a Let a = 1037/5698 - 1/5698. What is the third biggest value in -7/3, a, -2, -1/2? -2 Let l = -9657/5 - -1932. What is the third biggest value in l, -10, 2, 3? l Let v = 31188 - 31199. What is the fifth biggest value in v, 0.1, 4, 2/3, -9? v Suppose -14 = 125*y - 126*y. Suppose -y*f = -19*f + 15. Let b be 4 - f*48/27. What is the second biggest value in -5, -1/7, b? b Suppose -2769 = 5*p - 2879. Which is the biggest value? (a) -3 (b) -1/3 (c) p (d) 0 (e) 4 c Let g be (-2)/(-5) + 47589/(-135). Let t = -30905/153 - g. Let q = 150 - t. Which is the second biggest value? (a) 0 (b) q (c) 8 a Let p = -74 + 73.71. Let d = p - -0.59. Let m be 4 + (-1 - 4/(-2)). Which is the second biggest value? (a) m (b) d (c) -0.1 b Let a = -7913 - -7916. What is the fourth smallest value in -2/13, 29.3, a, -2? 29.3 Let i = 15423 + -293039/19. What is the fourth smallest value in i, 2, -2/3, -4, -0.5? i Let t = 229.8 - 230. What is the fourth biggest value in -5, t, 0.2, 70? -5 Let y = 4.549 - -1.451. What is the smallest value in 1, -7.8, y? -7.8 Let q = 628 - 628.2. Let u = 218/129 - 1/43. Which is the second smallest value? (a) -13 (b) q (c) u b Let z = 18.3 + -20. Let i = 1.661 + z. Let p = -
{ "pile_set_name": "DM Mathematics" }