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est to -3/5? (a) 0.2 (b) -0.3 (c) -1/2 (d) -7.07 c What is the closest to 0.09 in 669, 1/8, 0, 1/6, 0.4? 1/8 Which is the closest to 0? (a) -9/8 (b) 2/103 (c) -2/2863 c What is the closest to 0.3 in -4/53, 1/17, -2/69, 1, 2/3? 1/17 Which is the nearest to -3/16? (a) -1/3 (b) 3963 (c) 1 (d) -2 a Which is the nearest to -1? (a) 1/118 (b) -6574 (c) 24/11 a Which is the nearest to 0.1? (a) -18/13 (b) 2 (c) -3/4 (d) -1 (e) -392/19 c What is the closest to 3 in 4/7, 0.3, 13902? 4/7 Which is the closest to 0.6895? (a) 43 (b) 6 (c) -2 c Which is the closest to 0.1? (a) 2/9 (b) 3 (c) 4/43 (d) -7/19 (e) 15 c What is the nearest to -0.1 in 5, -0.037, -1972/7, 2/17, 3/4, -7? -0.037 What is the closest to -1 in -0.480423, -1, 0, 1? -1 Which is the closest to 2/9? (a) -4/3 (b) 101/10 (c) -3 (d) 6/5 (e) 3/4 e What is the closest to -69 in 3/4, 5, 1, 1/2, -11/4? -11/4 What is the nearest to -2.964 in -5, 1, -307/10? -5 Which is the nearest to 0? (a) -0.21 (b) -3.5908 (c) 2/5 a What is the nearest to -82 in -0.017, -10, 7? -10 Which is the nearest to -2? (a) -12/25 (b) 1/5 (c) 154/4233 (d) 4/3 (e) -1/5 (f) 1/3 a Which is the nearest to -0.47? (a) -36 (b) 5/6 (c) -31 (d) 2 b What is the nearest to 38.799 in 7, -2/53, 0.2? 7 What is the nearest to -0.3 in -67, 3/43466, 3? 3/43466 What is the closest to 0.6 in -3/5, 5, -1134, -5, -2/479? -2/479 Which is the nearest to 310? (a) 44 (b) -1/4 (c) 12 (d) -2/15 (e) -1 a Which is the nearest to 3/10? (a) -0.51 (b) -2/19 (c) -86 (d) 3 (e) 2 b What is the closest to -2/7 in -6/5, -4, 0.5, -7/4990, 2/3, -0.1? -0.1 What is the closest to -1 in 4, -3, 25, 2/31, -0.4, -32/5? -0.4 What is the nearest to 2949 in 0.4, 0.0257, 1/9? 0.4 What is the closest to -0.036 in -20.586, -11.8, 0? 0 Which is the nearest to 1? (a) 105 (b) -0.1 (c) 0.5 (d) 573 c What is the closest to 0.1 in 0.5, -1/9, -1/2, -7196/9? -1/9 Which is the nearest to -18/23? (a) 0 (b) 210 (c) -1/3 (d) -2.8 c Which is the nearest to -14? (a) 20 (b) 1/28 (c) 0.1341 b What is the nearest to -177/5 in -3, -2, 4313, -0.3, 1? -3 What is the nearest to 0 in -208, -1/6, -6/7, -0.07, -1/13? -0.07 Which is the closest to 3? (a) 5/4 (b) 0.1 (c) 2/17 (d) 12.28 (e) -5 (f) 20/7 f Which is the nearest to -1/3? (a) 45 (b) -4 (c) 7588 (d) 4/3 (e) 3 d What is the closest to 3 in -3, -0.9, -9, 12, 0? 0 What is the closest to -2/21 in -5, 0.1, -7/86, 3, -0.1722? -7/86 Which is the nearest to 1? (a) 3 (b) 5/408 (c) 0.8 (d) -3 (e) 3/2 (f) 0.19 c What is the nearest to 0 in -5/3, -64497, 0.2? 0.2 Which is the closest to -3/23? (a) -2/11 (b) -12 (c) -2300 a What is the closest to 1/3 in -162472, 2, 0.1? 0.1 What is the closest to -1539 in -6, -1/5, -1256? -1256 What is the closest to 0 in -104.5, -37396, 1/3? 1/3 Which is the closest to -13/5? (a) -3/8 (b) -32 (c) 0 (d) 1 a What is the nearest to -2 in 24, 5, -3/7, 0.061, 2, -0.4? -3/7 What is the nearest to 2 in -30, -646, -33? -30 Which is the nearest to -1/2? (a) -28 (b) 4.186 (c) 0.2 (d) -0.5 d Which is the closest to -6/7? (a) -1/10 (b) 0.4 (c) 33 (d) 1/48 a Which is the closest to -0.1? (a) -2/21711 (b) -2 (c) 44 a Which is the nearest to 3/2? (a) 1/13 (b) -7 (c) -3/5290 a Which is the nearest to -2/5? (a) 78/5 (b) 95 (c) -2/13 (d) 1/2 (e) -0.4 e What is the closest to -164 in 1/6, 1387, -0.5, -0.9? -0.9 What is the nearest to -2/7 in 0.43, -365, 0, -1/4, 0.1, -126? -1/4 Which is the nearest to 6/29? (a) 0.3 (b) -4676 (c) -1.9 a Which is the closest to -163? (a) -7/5 (b) -2/15 (c) -166/385 (d) 4/9 a Which is the nearest to 1? (a) -3/4 (b) 0 (c) -1617 (d) 6/71 d Which is the closest to -0.01? (a) -13 (b) -232 (c) -72 a What is the nearest to -1 in 0.02, -8180, -0.2, -0.4, -46/3, -0.02? -0.4 Which is the nearest to -0.1? (a) -4 (b) 267 (c) -8 (d) 0 d Which is the nearest to -1? (a) -0.2 (b) 0.3 (c) -162 (d) -1/2 (e) -20238 (f) 0.2 d What is the closest to 1/104 in 1/5, 0.228, -68/15, -3? 1/5 What is the nearest to 0.1 in -2/13, -4/7, 16, 22, -5, 544? -2/13 Which is the closest to 38? (a) -129 (b) 14 (c) 4/5 (d) 0.7 (e) 3/2 b What is the nearest to 2 in 8395, 0.238, 0.1? 0.238 Which is the closest to -23/2? (a) -2/5 (b) 231 (c) 11 (d) -1/3 (e) -0.2 a What is the closest to 0 in -2/19, 0.1, -25, 125, -3? 0.1 What is the nearest to -8961 in 63, 58/3, -4? -4 What is the closest to 0.2 in 0.5, 1/3, -1, 546, -0.01? 1/3 Which is the closest to 0.1? (a) -3/5 (b) 15 (c) 20.2 (d) -2/7 (e) 23.2 d What is the closest to 142 in 0.052, -2, 6, 5, -0.4? 6 Which is the nearest to 0? (a) 2/11 (b) -152 (c) -0.1 (d) -15636 c Which is the closest to 29/3? (a) -2/3 (b) -162/19 (c) 13 c Which is the nearest to 217028/143? (a) 0.3 (b) 1/6 (c) -3 (d) -0.1 (e) -4 a What is the nearest to 0.1 in -1/5, 37/18, -11, -230/9, -0.4, -0.5? -1/5 Which is the closest to 1? (a) 9 (b) 3 (c) -31/4 (d) -5 (e) -38 (f) 1 f Which is the nearest to 166? (a) 0.299 (b) -8.7 (c) 0.3 (d) -1 c What is the nearest to -9 in -2/9, 169, -0.3, 5, -5? -5 What is the closest to 1 in 8, -19539, -0.4, -4? -0.4 What is the nearest to -2 in -0.4, -1.62, 5, 0.12, 1? -1.62 Which is the nearest to 44? (a) 8/17 (b) -1/4 (c) -21 (d) 25 d Which is the nearest to -21? (a) -2/3 (b) 0.11 (c) -1099/10 a What is the nearest to -0.1 in -3/4, 0, 1919, 2/17, -0.5? 0 Which is the nearest to -1? (a) -0.054 (b) 5 (c) 2/7 (d) 0.148 (e) -2/3 e Which is the closest to -0.1? (a) -0.21 (b) -1/2 (c) 138 (d) 2/3 (e) -2/99 e What is the nearest to 1/3 in -0.33, 6/7, -128/101, -1/4, 0.2? 0.2 Which is the closest to -69/2? (a) -0.5 (b) 346 (c) 1/3 (d) -0.6 (e) -107 d Which is the closest to -0.0136? (a) 7 (b) -2/37 (c) -5 (d) 6/11 b What is the nearest to 10 in 263.22, 193, -1? -1 Which is the nearest to -11? (a) 507/85 (b) -0.1 (c) -0.4 (d) 5 c Which is the nearest to 18? (a) -0.2 (b) 3/2 (c) -7/89 (d) 7/2 (e) 5 e What is the closest to -6 in -5, 0.82, 0, -5.506? -5.506 What is the nearest to -0.1 in -7042, 15, 1, 3.9? 1 Which is the closest to 40? (a) 3 (b) -0.3 (c) 4/27 (d) -2/7 (e) 27 (f) -0.5 e What is the nearest to 0.1 in -24, 13091, -3/4, 2/17? 2/17 Which is the nearest to -2/9? (a) -2.29 (b) 10 (c) -0.1 (d) -2/11 (e) 0.5 (f) 1/6 d What is the nearest to 9/11 in 7, -5, -67, 11729? -5 What is the closest to -0.2 in 19/23961, -0.1, -4? -0.1 Which is the closest to 28624? (a) -0.49 (b) -2/7 (c) -1 (d) 1/9 (e) 1 e Which is the closest to 1/18? (a) 7/4 (b) -66 (c) -3 a Which is the nearest to 1710? (a) 4 (b) 0.2042 (c) 2 (d) 0.4 a Which is the closest to 0? (a) 0.7 (b) -5 (c) -32/11 (d) 0.5 (e) -0.3 e Which is the nearest to -51? (a) 12065 (b) -6 (c) -0.2 (d) -2/17 b Which is the closest to -0.1? (a) 45/4 (b) 4 (c) -2/7 (d) 0.3 (e) -3.08 c Which is the nearest to -3? (a) -0.8 (b) 0.1 (c) 3 (d) 1/2 (e) 2/817 (f) -1 f What is the closest to -0.4 in -1/11, 8, -29517? -1/11 What is the closest to -0.02679 in 2/9, 2/11, -1/43, -1/4? -1/43 What is the closest to 2/3 in 1.8, 1/26, 0.2, -19? 0.2 Which is the nearest to 0.05? (a) -0.3 (b) -5/2 (c) 0 (d) -12 (e) -16/5 c What is the nearest to -0.08 in 0, 122, -0.9, -1/5, -1, 7? 0 Which is the nearest to 1/3? (a) -57413 (b) 3 (c) -0.4 (d) -1.31 c Which is the closest to 24? (a) 3/8 (b) -6/11 (c) -4/3 (d) 0.192 a Which is the nearest to 4? (a) -3.5 (b) 1575 (c) -7 (d) -4 a What is the closest to 4 in -0.2, -1/2, 457, -33, -70? -0.2 Which is the nearest to 3/781? (a) -2/7 (b) -13/11 (c) 2/15 (d) -94 c What is the closest to -2/5 in 0.5, 1315, -1/8, 4? -1/8 What is the closest to -3 in 0, -10261, -22, 1/4? 0 Which is the nearest to -4206? (a) -2 (b) 2 (c) -16/17 a What is the nearest to 4 in -0.0317, -0.032, 1, -3/5? 1 Which is the closest to 859? (a) -5/2 (b) -1 (c) 3/5 (d) 0.2 (e) 0 c What is the closest to 0 in 347, -96/11, -1/9? -1/9 What is the nearest to -15995/2 in 0.5, 5, 450, 3? 0.5 What is the nearest to 0.96 in 2, 0.09, 0.2, 23, -15? 0.2 Which is the closest to -1? (a) 95141 (b) 2 (c) -2 c What is the nearest to -9667 in 2, -0.23, -0.2, -2? -2 What is the closest to 0.13 in 46, 2/17, -778
{ "pile_set_name": "DM Mathematics" }
a prime number? True Let d(v) = 4508*v**3 + v**2 + 26*v - 82. Is d(3) a composite number? False Suppose -8*q - 5857 + 34146 = x, 0 = -3*x + 2*q + 84971. Is x composite? True Suppose 228127 = -26*s - 90867. Let q = s - -27292. Is q a prime number? False Suppose 1976364 + 696614 + 722290 = 36*v. Is v composite? True Is (2282466/(-33))/(-2) + (-10)/(-55) a composite number? False Suppose -117*x + 112*x - 2*a + 40523 = 0, 2*x - a = 16211. Is x a composite number? True Is 1 + 32247 + 1 - 312/(-156) a prime number? True Let i(r) = 2*r**2 - 20*r - 7. Let h be i(11). Let m be 1*-4*h/(-12). Suppose -m*t = -3796 - 1249. Is t a composite number? False Let l(k) be the second derivative of k**4/3 + 2*k**3 + k**2/2 + 205*k. Is l(-29) prime? False Suppose 297614 = 9*u - 2188321. Is u composite? True Suppose -72*b + 83*b - 22 = 0. Suppose -67521 = -4*s + 8*q - 3*q, b*s + q - 33757 = 0. Is s a composite number? False Let g = -94 + 83. Let r be 122/18 + g/((-99)/2). Suppose 190 + 433 = r*a. Is a a composite number? False Suppose -1 = 4*k + 3*i, -1 + 0 = 5*k + 4*i. Is (k + (-13420)/33)/((-2)/30) composite? True Suppose 487645 = 43*b - 2495308. Is b prime? True Let o(v) = 196*v + 34 - 24 - 14 - 6. Is o(9) prime? False Let p = 12124 + 66289. Is p a composite number? True Suppose 2*m + 3*w - 1342 = 0, m + 2*m + 3*w - 2013 = 0. Suppose -x + 2*a = -m, -x + 672 = -0*x - 3*a. Is x composite? True Let c be 1/(-5) - (-16181)/55. Suppose 3*u - u - 1182 = -4*g, u + c = g. Is g prime? False Let z(f) be the first derivative of 352*f**2 - 54*f + 33. Is z(2) a prime number? False Suppose -8 = -2*a + 3*g, -2*g = -4*a + 13 + 19. Suppose -4*x - 5934 = -a*x. Is x composite? True Let y(l) = 157*l + 65. Let j be y(-7). Let c = -552 - j. Is c a prime number? False Let s(u) = 152*u - 7. Let p(h) = h**2 + 10*h + 12. Let z be p(-9). Let k be z - 0 - (3 - 9). Is s(k) a prime number? True Let v be 96/36*21/(-14)*5. Let q(r) = -r**2 - 4*r. Let a be q(-6). Is (-24339)/a - v/(-16) prime? True Let x be (20*(-627)/(-88))/((-2)/(-508)). Suppose 3487 = 2*p - x. Is p composite? False Suppose -3*g + 1276083 = -3*x, 260*g + 5*x = 261*g - 425353. Is g prime? True Suppose 187277 - 947694 = -7*i. Is i a prime number? True Let i be (-2 - -4)*174131/34. Suppose 5*x - 3*o - i = o, -4*o + 12 = 0. Is x composite? True Let b = 7 + -3. Let j be (2 + (-16)/(-10))*(-9 + b). Let c(n) = n**3 + 19*n**2 + 10*n - 17. Is c(j) a composite number? False Let t be (-6)/6*(1 + 4*4). Let w be -3 + 0 - (t - -12). Suppose -3*d + 2017 = 4*g, d + w*g - 2009 = -2*d. Is d a composite number? True Suppose 21*f - 29149 = 4577. Let i = 2889 - f. Is i a prime number? True Let o be 2*(3 + (-25)/(-10)). Let x be 3 - -5 - (o - 6). Suppose 0 = x*i + i - 4684. Is i prime? True Let i(h) = h**3 + 3*h**2 + h + 4. Let n be i(-3). Suppose 6 - n = v. Is -1 + v - (0 - 138) composite? True Let s(f) = 2*f**2 + 13*f + 1. Let k be s(-7). Is (-289149)/(-245) - k/(-10) a composite number? False Let p = 152 + -149. Suppose -p*d = y - 4048, y - 4*d = 3727 + 356. Is y a prime number? False Suppose 266 = -12*q + 1526. Is (4918/5)/(21/q) composite? True Let c be (-17)/(68/224)*-250. Let z = 3401 + c. Is z prime? True Let p(s) = 70612*s + 97. Is p(1) a prime number? True Is (21/(-4))/((-477)/170995596) a composite number? True Let w(f) = -722*f - 671. Is w(-24) prime? True Is 32957*13*9/39 prime? False Let h(n) = n**3 - 11*n**2 - 11*n + 9. Let j be h(12). Let w be 5 + 238/j + 2/(-6). Suppose -19*x = -w*x - 8169. Is x a composite number? True Suppose -5*g + 2*v - 3 = 0, 4*v - 8 - 3 = 5*g. Let n be (39 - g)*285/10. Is (-2)/4 - n/(-2) a composite number? False Let t be (-6)/27 - 73480/(-99). Let p = -1317 + t. Let g = p + 2082. Is g composite? True Suppose -3*h + 693 = 4*h. Suppose h*n - 100*n = -1151. Is n a composite number? False Let q = -88186 + 131864. Is q a prime number? False Let f = -20 + 28. Let r be (3 - (2 - 0/3))*f. Suppose r*q - 5*q = 615. Is q a prime number? False Suppose 5*r = y + r - 5, -2*y + 10 = -5*r. Suppose 4*d = y*p + 5571, -4 = -p + 1. Is d prime? True Let l(p) = 14*p**3 + 6*p**2 + 33*p - 50. Is l(23) a prime number? True Let s = 2735 + 1692. Suppose 4*l - 1137 = s. Is l a composite number? True Let d = -3939824 + 5826109. Is d a prime number? False Let p = -311 - -311. Suppose p = 4*b - 2*j - 71148, -2*j = -3*b + b + 35578. Is b prime? False Let u(x) = 9*x**3 + 167*x**2 + 42*x + 33. Is u(41) a prime number? True Let m = -314 - -90. Let k(z) = -24*z**2 - 9*z + 18. Let g be k(5). Let n = m - g. Is n a prime number? False Suppose 11*x = -878787 + 344825. Is (1 - 13)*x/104 a composite number? True Let k(t) = 43*t**2 - 8*t + 11. Is k(14) composite? True Let p(z) = z**2 - 5*z + 6. Let t be (2/(-8))/((-11)/132). Let c be p(t). Suppose -8*f + 2374 + 4642 = c. Is f composite? False Let z(n) = -250*n + 5. Let o(b) = 250*b - 5. Let p(a) = -3*o(a) - 4*z(a). Is p(9) a composite number? True Let x = 13 + -8. Suppose 5*z = 208 + 322. Is (4*x - -2)/(4/z) a composite number? True Let g be 21/(-14) + 138/4. Let n = -31 + g. Suppose -6*v + 308 = -n*v. Is v a composite number? True Suppose 5*j - 168*l + 166*l - 234531 = 0, 187620 = 4*j - 4*l. Is j a prime number? False Let t(s) = 31*s**3 + 10*s**2 - 12*s + 26. Suppose 4*q = 3*r + 4, 0 = 15*r - 20*r - q + 24. Is t(r) prime? False Let w = 43 + -39. Suppose 2*d - 6 = w*d. Is ((-469)/d)/((5 - 3)/6) a prime number? False Suppose o = -0 + 2. Let g(t) = -2 + 1 + 4*t**2 + 0*t**o + 472*t**3 - t**2. Is g(2) a composite number? True Let t(s) = s**3 + 4*s**2 - 4*s + 10. Let w be t(-5). Suppose 2*m - 3*j = m - 9, -w*j + 17 = -m. Suppose -m*r + 275 = -358. Is r a composite number? False Let g(b) = -b**2 - b + 17. Let y be g(-4). Suppose y*u - 3*k - 40311 = 0, 0*k = -2*u - 3*k + 16116. Let n = u + -1292. Is n composite? True Let w = -210688 - -684087. Is w composite? True Is (320101/3)/(66/198) a composite number? False Let x = 8482 - 2367. Let v = x + -2964. Is v a prime number? False Let a be 362/12 + (-10)/60. Let i = 24 - a. Is (-14665 + 3 - 5)*2/i prime? True Suppose 46*a - 68*a = -44*a + 2803922. Is a a composite number? True Let g(f) = 38*f**2 - 206*f + 2281. Is g(-95) prime? True Let o be 19700/2 + (9 - 1). Suppose -6*f + 396 = -o. Is f composite? False Is 5 + (-20)/(-4)*159888/(-60)*-9 composite? False Let o = -1 - 22. Let h = 182 - 414. Is o/(-2)*h/(3 - 7) composite? True Suppose 4*i - 81 + 2249 = 0. Let g be (3*(-2799)/108)/((-6)/24). Let l = g - i. Is l a composite number? False Is 29 + -19 - (-500502)/6 a prime number? False Let s be (4/(-6))/(1/(36/8)). Let j be (3/(s/(-1)))/((-7)/(-111349)). Suppose -5*q - 452 = -j. Is q composite? True Let u(k) = -16*k + k**2 + 18*k + 11 + 23*k. Let y(q) = -q**2 - 26*q - 11. Let f(m) = -5*u(m) - 4*y(m). Is f(-12) composite? False Let n(b) = -8*b - 88. Let r be n(-6). Is r/(-30)*(-186)/(-8) a composite number? False Let o(l) = -2*l + 34. Let s be o(16). Suppose s*b = 5560 + 6972. Suppose -4479 = -5*d + b. Is d a composite number? True Let a(d) = d**3 - d**2 + 3*d + 3942. Let p(s) = s**3 - s**2 - 2*s. Let g be p(0). Let f be a(g). Let l = f - 2123. Is l prime? False Let d = -1357 - -1377. Let g(n) = -55*n - 1. Let v be g(-1). Let j = v - d. Is j a composite number? True Is (((-8)/6)/((-58)/(-261)) - 0) + 4875673 a composite number? False Let g = -520 + 7517. Suppose p + 22*a - 17*a - 2343 = 0, g = 3*p - a. Is p a composite number? False Let l be (-13)/3 - (-5 + 56/12). Let k(w) = -14*w**3 + 6*w**2 + 14*w + 7. Is k(l) prime? False Suppose -58*h + 54*h + 2000326 = -3*o, -h + 500075 = -4*o. Is h prime? True Suppose -4*o + 34 = 26. Suppose -3296 = -o*l - 3*z + 7086, 5*l + 5*z = 25965. Is l prime? True Let w = 1451 + -678. Suppose 0 = -3*q + w + 1669. Suppose 5*t + 4*j - q = 0, 0*t - 3*j - 344 = -2*t. Is t a prime number? False Let k(x) = 254*x**2 - 6*x + 73. Let y(w) = 2*w**2 - 20*w + 59. Let b be y(5). Is k(b) composite? False Let n(o) = -o**3 + 5*o**2 - 5*o - 4. Let w be n(4). Is (-8350)/(w - -3) + 1 prime? False Let f(k) = 8*k + 146. Let m be f(-18). Is m/((14/(-10121))/(-7)) a composite number? True Suppose -237 = -4*u + 587. Is (u/(-10))/(36/(-5580)) a prime number? False Suppose 13*w = -5*w + 54. Suppose 5*f - 11218 = -3*i, -w*i + 2374 = f + 128. Is f prime? Tru
{ "pile_set_name": "DM Mathematics" }
4 - (3 + -1) 3 Calculate (1 - 0 - 2) + 0. -1 What is the value of (10 - (1 - -11)) + 5? 3 Calculate 1 + 1 + 14 + (-17 - 2). -3 Calculate 4 - (8 - (-6 + 16)). 6 Calculate (2 - -1) + -20 + (23 - 6). 0 Calculate -9 + 1 + 3 + (0 - -2). -3 What is the value of 10 + (-2 - (8 - -1 - 6))? 5 Evaluate 2 - (7 - -3 - 12). 4 Evaluate 3 + -4 + (7 - 4) + -2. 0 Evaluate -10 + (12 - 2 - 0). 0 Evaluate -2 + 1 + -2 - (7 - 5). -5 What is -3 + 2 + -5 + 2 - -3? -1 Evaluate -3 + (6 - 4) + 8. 7 What is the value of 7 - (8 + 7 + (-5 - 0))? -3 What is 4 + -4 + 2 + -3? -1 What is -11 + 10 - (1 - 0)? -2 2 + -5 + 2 - 2 -3 (8 - 5) + 0 - (0 + 6) -3 Calculate -5 - (5 + -2 + -14). 6 What is (4 + -6 - 2) + 1? -3 (3 - (8 + (-8 - -3))) + -4 -4 Evaluate -6 + 4 - -3 - -1 - 3. -1 What is the value of (4 - (4 + 2)) + 0 + 1? -1 Calculate 14 - 2 - 8 - (-1 - -4). 1 Calculate 5 + 8 - (6 - 3). 10 What is 14 - (-9 + 10) - 6? 7 Evaluate 12 + -10 + 1 - -3. 6 What is the value of 1 + -2 + 2 + -5 + 1? -3 -4 + 0 + 0 + (22 - 27) -9 What is the value of 4 + -2 + -6 - -8? 4 What is -6 + 5 + 5 - 2? 2 What is the value of -2 - (0 + 0 + -1)? -1 7 + -4 + -9 - -7 1 What is 0 + 5 + (16 - 20)? 1 What is 0 + 6 + 1 + -3 + -3? 1 Calculate (-3 - 9) + 8 + 1. -3 Calculate -1 + (-2 - (-8 + 12)). -7 What is the value of 19 - 22 - (0 + 0)? -3 What is the value of (4 - 4 - -4) + (7 - 11)? 0 What is the value of 8 - (1 - 0) - (-1 + 3)? 5 Evaluate -5 - (7 + (6 - 15)). -3 (-11 - -9) + (-1 - 2) -5 What is the value of -7 + -7 + 8 + 7? 1 What is 0 - (5 - (0 - -4))? -1 What is -13 - (-4 + -3) - -4? -2 What is the value of -6 + 4 + (3 - 0) + -1? 0 What is the value of 10 - (2 - -5 - (42 - 36))? 9 What is the value of 3 + (-2 + -5 - -2) + -6? -8 Calculate 0 - -3 - (-26 - -30). -1 1 - (4 + (-1 - -2) + 0) -4 What is the value of -4 + 3 + (3 - 2) + -2? -2 1 - 9 - (1 + (16 - 17)) -8 What is 6 + 0 + 1 + 0? 7 What is 10 - -1 - 21 - -18? 8 What is 1 + 16 - 21 - (0 + -8)? 4 Calculate 1 + 1 + 0 - (-97 - -101). -2 What is the value of -2 - ((6 - 4) + -7)? 3 24 + -24 + 8 + -4 4 What is the value of 9 - (-8 + (0 - -20))? -3 -1 + (0 - (5 - 4)) + 0 -2 Evaluate -8 + 5 + 0 + 1. -2 What is (-5 - -5 - -5) + 0? 5 -13 + 6 - -8 - 0 1 What is (-1 - -1) + (3 - 2)? 1 What is (6 - (10 - -5)) + (-2 - -7)? -4 What is the value of -8 + -9 + 9 - -16? 8 Calculate (7 - 5) + (1 - 4). -1 What is the value of 4 - (-2 + 14 - 3)? -5 What is the value of (6 - 17 - -8) + 2 + 4? 3 Evaluate (-5 - 4) + 1 - -4. -4 (0 - -4 - -10) + -3 - 6 5 What is 12 - (-2 + -6) - 12? 8 What is the value of 1 - 1 - -7 - (712 + -709)? 4 What is 15 - (10 + -7) - 5? 7 What is the value of (-16 - (4 - 4)) + 9? -7 Calculate -1 + -1 + 5 + -3 + 3. 3 What is the value of 15 + -10 + (2 - -3) + -14? -4 What is 1 - (-9 - -5) - 4? 1 What is 6 - ((21 - 0) + -7) - -7? -1 Evaluate -10 + 2 + 0 - -1 - -3. -4 What is 5 - (1 - (0 + 3 + -5))? 2 What is the value of (1 - -3) + 0 + 0 + -3? 1 3 + (-5 + -3 - -3) - -4 2 -10 + 14 + -7 - -7 - -3 7 8 + (-3 + 4 + 2 - 8) 3 What is -2 + 0 - -1 - 3? -4 Evaluate -1 + -16 + 8 + 3. -6 What is the value of 13 - (7 - (-11 - -8))? 3 Calculate 6 + -3 - (-2 - (-12 - -6)). -1 Evaluate (1 - 2 - -2) + 2 + 0. 3 What is -4 + 0 - (24 - 22)? -6 What is 5 + -7 + 20 + -12? 6 Calculate 4 + (0 - (-8 + -1 + 15)). -2 4 - (4 - 5) - 1 4 (5 - 3) + -6 + 2 -2 What is the value of -2 + (12 - 14 - (2 + -1))? -5 What is 2 - (-1 - (0 + -6 + 1))? -2 Evaluate 7 - 8 - 4 - -5. 0 What is (-1 - (4 - 3)) + 1 - -1? 0 What is the value of 1 + -4 - (-6 - -5) - -2? 0 What is (-3 + 4 + 4 - 8) + 4? 1 Calculate (-2 - -5) + -6 + 0. -3 What is 6 + -17 + 9 - -10? 8 Calculate -2 + (0 - -13) - (-67 - -72). 6 Evaluate -11 - (-8 - -6 - 3). -6 Calculate 2 - (-5 + 8 + 2). -3 Calculate -2 - (-1 - (12 - 5)). 6 What is (9 - 7) + 3 + -1 + -3? 1 (4 - 9) + 8 + (-3 - 1) -1 What is the value of 5 + -5 + 3 + -1? 2 What is the value of 12 + -12 + (-7 - -3)? -4 Evaluate 0 - 2 - (0 + (-22 - -30)). -10 -5 + -1 - (5 - 9 - -2) -4 Evaluate 8 + -10 - (0 + -2 - -4). -4 Calculate 0 + (8 - -2) + 7 + -8. 9 Evaluate 4 - (3 + 0 + 2 + 2). -3 (3 - 3) + 2 - -1 - 1 2 What is -18 + 23 - ((-3 - -2) + 1)? 5 -13 - ((-10 - -11) + -4) -10 (7 - (-8 + 1)) + -7 7 0 - -3 - (-3 + 9 + 2) -5 Calculate 3 + 1 + (2 - 5) + -5. -4 3 + (-8 - (9 - 13)) -1 4 + -1 + -3 + -4 -4 Calculate -2 + -3 - (-6 + -1 - -4). -2 Calculate -2 - (3 + 0 + -1). -4 Calculate -1 + 1 - (-10 - -13). -3 Calculate -1 - (-9 - (-7 + -3)). -2 8 + -9 + 2 + (-2 - -3) 2 Calculate -11 - -6 - 2 - (-13 - -1). 5 What is the value of -13 + 3 + (19 - 14)? -5 Evaluate 1 + (3 - 2) + -7. -5 Calculate -9 + -2 + 7 - -5. 1 9 + (4 - 5 - 2) 6 What is the value of 0 - 3 - (2 + -5 + 3)? -3 Calculate (-1 - (4 + -9)) + -2 + 2. 4 What is the value of (-1 + 3 - -13) + -4 - 2? 9 Evaluate 0 - (13 - (1 - (-1 - 4))). -7 -6 - (-2 + 1 - 7) 2 What is the value of -4 - (-1 - (-4 + -1 + 4))? -4 Evaluate 1 + -1 - (35 - 29) - 3. -9 (3 - (0 + -6)) + -2 7 What is the value of 0 + (5 + -7 - 3) - -5? 0 Calculate 3 + -14 - -3 - (-4 - 3). -1 What is 6 - (1 - (-9 + 6)) - 5? -3 What is the value of -3 - (-3 - ((-7 - -3) + 8))? 4 Calculate 4 + -7 + (-3 - (0 + -5)). -1 Evaluate 1 + -2 + -8 + -5 + 14. 0 4 + (-9 - -13 - (1 + -1)) 8 Calculate 3 - (0 - 3) - (-1 - -6). 1 Calculate -2 + -2 + (11 - 7). 0 What is the value of 1 + -2 - (-70 + 60)? 9 What is the value of (7 - (-9 - -10)) + -2? 4 -2 - (0 - (0 + 4)) 2 Calculate (-1 - -1 - (2 + 3)) + 1. -4 -15 - -17 - (-1 + 1) 2 3 + 1 + -8 - (-8 - 1) 5 Calculate (-1 - (-5 + 7)) + -5 + 10. 2 Calculate (-6 - 1) + 0 + 4. -3 What is the value of 9 + -9 + -5 + 2? -3 Calculate -1 + (-1 - -6) + (2 - 5). 1 What is 4 - 7 - (3 - 4 - 5)? 3 Evaluate 1 - 5 - -5 - -3. 4 What is the value of -1 + (3 - (1 + 6))? -5 -2 - (-4 - (0 - -3 - 5)) 0 10 + 9 + -11 - 11 -3 What is the value of (-6 - (-1 + -4)) + -3? -4 Evaluate 12 + -15 + 2 + -2. -3 What is the value of 3 + (7 - 11 - -5)? 4 (4 - -2) + -4 + -4 -2 Calculate 7 + -6 - (5 + -2 + 1). -3 What is the value of (-2 - -3) + (28 - 25)? 4 Calculate 1 - 3 - (70 - 67). -5 What is the value of 3 + 5 + -5 - 5? -2 Calculate -7 + 3 + 1 - -2. -1 What is 3 - 6 - (-1 + 1 + -1)? -2 Calculate (1 - -1) + 0 + -6 + 10. 6 What is the value of -6 + (2 - (1 + (-5 - -3)))? -3 Evaluate (3 - 1 - -4) + (2 - 3). 5 Calculate 16 + -15 - (-1 + 1). 1 Evaluate 3 - (1 - (-21 + 13)). -6 What is (-4 + 4 + 5 - 5) + -3? -3 Calculate 7 - 4 - -1 - 0. 4 Evaluate (-123 - -118) + (9 - -1). 5 (-3 + -3 - -15 - -1) + -6 4 What is 14 + -1 - (-13 + 21)? 5 2 + -3 + -2 + 0 + 0 -3 3 - (-3 - 0 - -8) -2 Calculate -6 + 0 + (4 - (3 + 0)). -5 Calculate (3 + -2 - 0) + (11 - 11). 1 Evaluate 3 + -2 + -2 + -1 + 6. 4 Evaluate 14 - (14 + -6) - 3. 3 What is (4 + 0 - -1) + 308 + -309? 4 (-2 - 0 - 2) + 1 + 5 2 What is the value of -4 - (6 - 14) - 5? -1 Evaluate -33 + 30 + (-2 - -1). -4 Calculate 8 - (-2 - (2 + -3 - 4)). 5 Evaluate 3 - (10 - 2) - (7 + -9). -3 7 - (-1 - (1 - -2) - -7) 4 What is (-4 - (-9 - -5)) + 4? 4 What is (2 - (-4 + 11)) + (-1 - -9)? 3 Evaluate -5 + (-11 - -4) + 18. 6 Calculate -16 - (-5 + -7 + 3). -7 What is the value of 3 + (0 - (5 - (-5 - -5)))? -2 Calculate 2 - -9 - (12 + -5). 4 Calculate -1 - -4 - (67 - 63). -1 What is -6 + (5 - (-10 + 6))? 3 Evaluate -98 - -96 - (2 + (-1 - 3)). 0 Evaluate (3 - (0 - -7)) + (-3 - -5). -2 What is 4 + (-7 + 4 - 2) - -6? 5 What is the value of 18 - 14 - (7 + 4)? -7 What is 0 + 9 + -1 + -3? 5 Calculate 5 + -4 + 0 + 5. 6 What is the value of -1 + -1 + (0 - -1)? -1 Calculate -2 - (1 + 3 + -4 - 2). 0 -3 + (8 - (4 + -1)) 2 What is the value of (0 - -2) + 10 + -13 + 4? 3 (4 - -1) + (-19 - -12) -2 Evaluate -6 - ((-5 - 1) + (-1 - -1)). 0 Evaluate 0 - (3 + -5 - -4). -2 What is 2 + 4 + -1 - (-2 + 2)? 5 Evaluate -5 - (1 - 3 - (4 - 4)). -3 What is 3 - (-3 - (0 + -1 + 0))? 5 Evaluate 2 + (0 - -10) + -16. -4 What is the value of 4 + 1 + 3 + -5? 3 What is -1 - (2 - 2) - (52 + -55)? 2 Calculate -2 - (2 + -8 + 1). 3 Calculate 0 + -1 + 2 - -2. 3 Evaluate 11 - (-12 + 12) - 13. -2 Calculate (18 - 23) + 2 + (5 - 2). 0 Calculate 2 + -5 + -2 - (9 - 7). -7 Calculate -2 - (-1 - ((1 - 2) + -1)). -3 What is 6 - -2 - 8 - (0 + -4)? 4 What is -5 + (-3 - (2 - 5))? -5 Calculate (-8 + 2 - (-6 - 0)) + 6. 6 Calculate -6 + (-8 - -15) + 9. 10 Calculate -6 - (-6 + 8 + (0 - 6)). -2 What is (-8 - -4) + (
{ "pile_set_name": "DM Mathematics" }
pose -q - f = -6*q. Let o = q + -11. What is the tens digit of o? 1 Suppose 3*b - 4*f - 28 - 31 = 0, 0 = f + 5. Suppose -3*c = -12, -4*r + 3*c - c = 124. Let w = b - r. What is the units digit of w? 2 Let o(c) = c**2 - 11*c - 4. Let j be o(12). Let t be (-320)/(-52) - j/52. Suppose 9*l - t = 7*l. What is the units digit of l? 3 What is the thousands digit of (-3724)/(-1) + (-14 + 11 - -3)? 3 Let i = -4599 + 7207. What is the tens digit of i? 0 Let z(o) = o**3 - 39*o**2 + 89*o + 38. What is the units digit of z(37)? 3 Let q = -75 - -78. Suppose -501 = -2*f - 7*z + 2*z, -q*f + z + 709 = 0. What is the tens digit of f? 3 Suppose 16 = 4*c + x, -5*c - x = x - 17. Suppose 0 = -4*o - c*z + 402, 349 + 37 = 4*o - 3*z. What is the tens digit of o? 9 Let z(q) = 203*q + 21. What is the thousands digit of z(8)? 1 Let x be 15 - -1 - 0/5. Let k(o) = -o**3 + 6*o**2 - 4*o - 5. Let u be k(4). Let b = x - u. What is the units digit of b? 5 Let l(h) = h**2 + 9*h. Let n be l(-8). Let q = n + 8. Suppose q = 5*r - c - 67, -4*c + 61 = 3*r + 7. What is the units digit of r? 4 Let a(s) = -6*s - 14. Let f(c) = -3*c**2 - c - 1. Let p be f(-2). Let n be a(p). What is the units digit of 1*-45*n/(-39)? 0 Suppose 0 = -13*v + 17383 + 15806. What is the tens digit of v? 5 Let x(o) = -o - 4. Let k be x(-8). Suppose -3*c - 5*s = -4*c + 55, 125 = k*c - s. What is the tens digit of c? 3 Let c(s) = -6*s - 6. Let d = -13 + 9. Let m = -1 + d. What is the units digit of c(m)? 4 Let b be -1 + (-6)/(2 - 4). Let f(w) = -3*w**2 + w**2 - 3*w**2 - 8*w**3 + 4*w**b - w. What is the units digit of f(-1)? 8 Let m(u) = u**3 - 12*u**2 - 9*u + 17. Let h be m(13). Suppose 6*z = h + 69. What is the units digit of z? 3 Let g(l) = -l + 3. Let b be g(7). Let f(u) be the second derivative of u**5/20 + u**4/4 - u**3/2 + 5*u**2/2 - u. What is the units digit of f(b)? 1 Let a be 0/(-1) - (-2 - 0). Suppose -2*o + 14 = -2*n, -2*o + n = a*o - 13. Suppose -4*m + o*m + 62 = 0. What is the tens digit of m? 3 Suppose 5*x = -5*g + 85, 9*x = 5*x + 3*g + 33. Let f be (-2)/(-3)*(-6)/(-4). Let o = x - f. What is the tens digit of o? 1 Let p(y) = y**2 - 1. Let n(g) = -g**2 - 10. Let l(k) = -n(k) - 2*p(k). Let w be l(0). Let m = w - -9. What is the tens digit of m? 2 Suppose -4*q + 5*h + 276 = -3*q, 3*q = -2*h + 862. What is the hundreds digit of q? 2 Let w(g) = 6*g**2 - 11*g + 54. What is the hundreds digit of w(12)? 7 Let q be 7 + -23 + -1 + -3. Let p = q - -21. Let s = 9 + p. What is the units digit of s? 0 Let c = -15 + -18. Let t = -12 - c. What is the tens digit of t? 2 What is the hundreds digit of 3720/14 - (-6)/21? 2 Let n(j) = -j**2 + 13*j + 2. Let w be n(13). Suppose 426 = 2*i + 2*x, w*i + 3*i + 4*x - 1067 = 0. What is the tens digit of i? 1 Let z = 14 + -34. Let i = 23 + z. What is the units digit of (i/2)/((-2)/(-44))? 3 Let z = -85 + 90. Suppose -p - 2*k = -2*p + 13, -z*k + 5 = 0. What is the tens digit of p? 1 Suppose 0 = 4*n + 2*p + 10, -p - 6 = 2*n + n. Let a(g) = 2*g + 9. Let f be a(9). What is the units digit of (3 - 1)/n + f? 5 Let a(y) = 12*y**2 - 22*y - 2. What is the tens digit of a(6)? 9 Let y(g) = 2*g**2 + 17*g - 107. What is the units digit of y(-21)? 8 Suppose -6*l - 140 = -7412. What is the thousands digit of l? 1 Let k = -15 - -15. Suppose k = -z + 4*z. What is the tens digit of 36 + 2 + -2 + z? 3 Let a = 294 - -28. Suppose -4*q - q - 3*u = -319, 4*u = -5*q + a. What is the units digit of q? 2 Suppose -6*u - 2*j = -2*u - 18, 4 = 2*u + 2*j. Let h = -26 - -40. What is the units digit of (-4)/h + 338/u? 8 Suppose 4*z = 5*j - 684, -3*z - 201 = -4*j + 346. Suppose -j = -5*d + 34. Let y = d - -6. What is the units digit of y? 0 Let o(g) = -6*g**3 + g**2 + 3*g + 13. What is the tens digit of o(-4)? 0 Suppose z - 3*k = 30, 51 = -z + 2*z + 4*k. Suppose z = n - 15. What is the tens digit of n? 5 Let q(v) = 4*v**2 + 10*v. What is the tens digit of q(-12)? 5 What is the hundreds digit of ((-11914)/92)/(2/(-12))? 7 Let g(f) = 10*f - 3. Let z be g(1). Suppose -3*x - 160 = -z*x. What is the tens digit of x? 4 Suppose -4*s + 0*s + 92 = 0. Suppose i = -s + 81. What is the tens digit of i? 5 What is the units digit of 1/(-11) - (-2784)/11? 3 Suppose 10*q - 9*q + 5265 = 4*o, 0 = 4*o + 3*q - 5261. What is the thousands digit of o? 1 Let w be 5*(2 - 1) + -2. Let k be -3 - (-4 + 2/(-1)). Suppose w*z + 4*m - 3*m - 8 = 0, -k*z - 4*m + 5 = 0. What is the units digit of z? 3 Let y(v) = 20*v - 18*v - 2*v**2 + 12 - 3*v**3 + 2*v**3. What is the units digit of y(-4)? 6 Let d(y) = y**3 - 6*y**2 + 3*y + 4. Let q be d(7). Suppose 4*p + w = q, p - 6*p - 3*w + 89 = 0. What is the units digit of p? 9 Let w(p) = -p - 5*p**2 - 5 - 6*p + 1 + 4*p**2. Let x be w(-6). Suppose 0 = x*z - z - 7. What is the units digit of z? 7 Let z(c) = 13*c**2 + 1. Let u be z(1). Let t(m) = -2*m**3 - m**3 + 0*m**3 + u - 10*m**2 + 4*m**3 + m. What is the units digit of t(10)? 4 Let d = -197 - -391. What is the units digit of d? 4 Let m = 126 - 122. Suppose -b - 506 = -3*b - m*z, -5*z = b - 262. What is the units digit of b? 7 Suppose -15 = d - 0*d + 5*i, -i = 3. What is the units digit of 16/4 + (d - -110)? 4 Let q be (158/2)/(1/(-1)). Let j = 162 + q. What is the units digit of j? 3 Suppose -4*u + 3792 = g, 3043 = -5*u + 4*g + 7804. What is the hundreds digit of u? 9 Let y = -102 - -106. Suppose -360 = -0*m - 3*m - y*g, 0 = -2*m + 4*g + 220. What is the tens digit of m? 1 Let c be 17/(-3) + 4/(-3). Let v = 3 - c. Suppose -3*b = -4*a + 117, 5*b = -a + 25 + v. What is the tens digit of a? 3 Let b(a) = -37*a + 212. What is the hundreds digit of b(-13)? 6 Let r(b) = -5*b - 28. Suppose g = 2*n + 12 + 8, -4*n + 3*g - 42 = 0. What is the units digit of r(n)? 7 Let f = 19 - 18. Let w(p) = -6*p - 1. Let c be w(f). What is the tens digit of 3 + c*4/(-4)? 1 Suppose h + 4*h - 25 = 0, -5*h = -4*i + 283. Let d = i + -37. What is the units digit of d? 0 Suppose 0 = 10*b - 12914 + 4434. What is the hundreds digit of b? 8 Suppose 9*p - 3 = -12. What is the hundreds digit of (1 - 622)*p*(-7)/(-21)? 2 Let q = 1598 - 949. What is the units digit of q? 9 Let j = -3 - 7. Let l be (-4)/6*195/j. Suppose 3*v - 4*h = l, -5*v + h + 26 = -7. What is the units digit of v? 7 Suppose t - 2*f = 5*t - 278, 5*t - 5*f = 355. Suppose 3*q + 2*y = 8*q - 154, 2*q = -2*y + t. What is the tens digit of q? 3 What is the tens digit of 332/18*3*15? 3 Suppose 3*l + 76 = 82. Suppose -l*v = 3*v - 3*u + 2, 3*v - 5*u + 14 = 0. What is the units digit of 49 - (3 + -4)*v? 1 Let a(u) = u**2 - 6*u + 9. Let j be a(5). Suppose -3*n = -2*q - 52 - 44, 0 = j*n - q - 128. Suppose n = 4*c - 164. What is the units digit of c? 9 What is the hundreds digit of (508/(-10))/(6/(-45))? 3 Suppose -3*k - 4*q + 219 = 0, 9 = 2*k - 3*q - 154. Suppose -1187 = 2*u - 1109. Let i = u + k. What is the units digit of i? 8 Let u(g) = -2 + 8*g**2 + 0 - g + 3*g. What is the units digit of u(3)? 6 Let r = -2107 + 3234. What is the hundreds digit of r? 1 Let z = 806 + -366. What is the tens digit of z? 4 Let j(f) = f**2 - 11*f + 8. Let z be j(7). What is the units digit of ((-16)/z + -4)*-20? 4 Let d(y) = 2*y + 24. Let b be d(-12). Suppose b = -9*m + 3*m + 1710. What is the tens digit of m? 8 Suppose 4799 = -5*t - 3011. What is the tens digit of 3/(-1)*t/66? 7 Let n be (18/15)/(4/30). Let w = 9 - n. Suppose m + 2 - 11 = w. What is the units digit of m? 9 Let f be (-1 - -56) + (-4)/(-4) + -4. Suppose -5*w = -4*a - f, -w + 4*a + 18 + 2 = 0. What is the units digit of w? 8 Let p(r) = 4*r + 4. Let q be p(2). Suppose m - 5*m + q = 0. Suppose -192 - 3 = -m*f. What is the tens digit of f? 6 Let c = 5 - 2. Suppose 0 = a + c, 4*a - 54 = -4*w - 14. What is the units digit of w? 3 Let r = -99 + 416. What is the hundreds digit of r? 3 Suppose 5*l = -t + 55, 5*t - 4*t = 2*l - 15. Let y be (8/l)/(1/30). What is the tens digit of 27 - (-3 + y/4)? 2 Let q be 2 - (-6 - (-4 - -1)). Suppose 0 = -3*p - q*o + 2, 0 = -5*p + 2*o - 0*o - 38. What is the units digit of p/18 + 13/3? 4 Let u = -1669 + 2355. What is the tens digit of u? 8 What is the units digit of (-174)/(-14)*206 + 2/(-7)? 0 Let p = -8 + 20. Let a = p + 8. Let g = a - -8. What is the tens digit of g? 2 Suppose -14326 = -44*q + 15*q. What is the tens digit of q? 9 Let o(x) = 2*x**2 - 3*
{ "pile_set_name": "DM Mathematics" }
erivative of -r**3 - 12*r**2 + r + 6. Let a(d) = -8*d + 1. Let u(n) = 7*n - 5. Let m(x) = -2*a(x) - 2*u(x). Determine -17*m(b) - 6*o(b). 2*b + 8 Let r(u) = 26055*u**3 + 85*u**2 + 170*u. Let i(b) = 1861*b**3 + 6*b**2 + 12*b. Calculate -85*i(d) + 6*r(d). -1855*d**3 Let v(y) be the third derivative of y**5/60 - y**4/24 + 7*y**2 + 4*y + 70. Let f = 2 + -1. Let k(z) = 3*z**3 + 12*z**2 - 12*z. Give f*k(u) - 12*v(u). 3*u**3 Let p(o) = 699*o**3 + 2*o**2 - 51*o - 3. Let r(h) = -323*h**3 - h**2 + 25*h + 1. What is 6*p(d) + 13*r(d)? -5*d**3 - d**2 + 19*d - 5 Let x(s) = 6*s**2 + 581*s - 12. Let h(f) = -f**2 - 3*f + 3. What is -4*h(l) - x(l)? -2*l**2 - 569*l Let z(t) be the third derivative of 11*t**5/20 - t**4/4 - 7*t**3/6 - 2*t**2 + 12*t - 33. Let f(m) = -17*m**2 + 3*m + 3. Give -7*f(w) - 3*z(w). 20*w**2 - 3*w Let u be ((-256)/896)/(-1 + 44/42). Let g(f) = -3*f**3 + 6*f**2 - 6*f - 1. Let j(k) = 6*k**3 - 11*k**2 + 11*k + 1. Give u*j(v) - 11*g(v). -3*v**3 + 5 Let g(x) = 2*x**2 + 5*x - 7. Suppose 0 = 3*u - 140*j + 139*j + 12, 0 = -2*j. Let r(z) = z**2 + 2*z - 3. Determine u*g(a) + 9*r(a). a**2 - 2*a + 1 Let j(y) = -7*y**2 - y. Let n(a) = 33*a**2 - 19*a - 17. What is -4*j(w) - n(w)? -5*w**2 + 23*w + 17 Let l(j) = j**3 - j**2 - j. Let z(r) = -85*r**3 - r**2 - 7*r - 7. Let f be z(-2). Let p = 687 - f. Let g(t) = -5*t**3 + 4*t**2 + 2*t. Give p*l(b) + g(b). -b**3 - 2*b Let q(b) = 3*b**2 + 7*b - 21. Let h be 1/(14/2 + 120/(-16)). Let n(t) = t**2 + 2*t - 7. Give h*q(x) + 7*n(x). x**2 - 7 Let o(x) be the first derivative of x**2 + x + 157. Suppose 2*c = 3*c - 5, -2*k - 5*c + 27 = 0. Let a(u) = 6*u - k + 7 - 3 - 1. What is 3*a(z) - 8*o(z)? 2*z - 2 Let w(c) = -552*c + 452. Let g(b) = 166*b - 151. Determine 10*g(i) + 3*w(i). 4*i - 154 Let t(q) = 2*q**3 + 18*q**2 - 9*q + 418. Let s(b) = 2*b**3 + 16*b**2 - 8*b + 419. Calculate -9*s(f) + 8*t(f). -2*f**3 - 427 Let r(c) = 12*c**2 + 74*c - 7. Let d(u) = 8*u**2 + 50*u - 5. What is -7*d(b) + 5*r(b)? 4*b**2 + 20*b Let i(j) = j**3 + 3*j - 3. Let r(u) be the third derivative of u**4/12 - 2*u**3/3 + 764*u**2. Give -2*i(a) + 3*r(a). -2*a**3 - 6 Let a(q) = 5*q + 1. Let c(k) = 11*k + 1. Let o = -1237 + 1235. Let j = 63 + -58. Give j*a(t) + o*c(t). 3*t + 3 Let k(w) = -6*w**2 + 8. Let g(t) be the first derivative of -7*t**3/3 + 7*t - 222. Give 6*g(r) - 5*k(r). -12*r**2 + 2 Let x(l) = -63*l**3 - 4*l**2 - 6*l + 13. Let u(a) = -110*a**3 - 7*a**2 - 10*a + 27. Calculate -4*u(s) + 7*x(s). -s**3 - 2*s - 17 Let g(m) = -m**2 + 18*m - 101. Let u(z) = -z**2 + 30*z - 201. Calculate -5*g(d) + 3*u(d). 2*d**2 - 98 Suppose -202*w = -505 - 505. Let o = 2 - -1. Let l(m) = 4 + 4 - 4 + o*m + m. Let b(c) = 3*c + 3. Calculate w*l(n) - 7*b(n). -n - 1 Let r(d) = d**2 + 4. Let c(l) = -l**2 + 15*l - 11. Let t be c(14). Suppose 6 = -t*w + 9. Let q(a) = a**2 + 1. Calculate w*r(h) + q(h). 2*h**2 + 5 Let p(q) be the first derivative of -9*q**2/2 - 7*q - 1. Let s(j) = -2*j + 2*j + j + 3 + 3*j. Let o be (2/(-5))/(30/(-1050)) + -7. Calculate o*s(f) + 3*p(f). f Let q(a) = -11*a**2 + 34*a + 11. Let k(o) = -17*o**2 + 47*o + 17. Let x(v) = -5*k(v) + 7*q(v). Let r(u) = 7*u**2 + 3*u - 7. Give -6*r(h) + 5*x(h). -2*h**2 - 3*h + 2 Let z(c) = -9*c**2 - 9*c + 13. Suppose 0*a - 2*a - 4 = 5*p, -p = a - 1. Let d be a/24 + 721/56. Let l(f) = -4*f**2 - 4*f + 6. What is d*l(s) - 6*z(s)? 2*s**2 + 2*s Let f(a) = a**2 + a + 2. Let g(q) = -12*q**2 + 5*q + 7. What is 4*f(d) - g(d)? 16*d**2 - d + 1 Let k(h) = -2*h**3 + 192*h**2 - 95*h + 4. Let n(j) = j**3 - 95*j**2 + 52*j - 2. Give 6*k(i) + 11*n(i). -i**3 + 107*i**2 + 2*i + 2 Let y(r) be the first derivative of r**4/2 - 2*r**3/3 + 2. Let i(m) = -m**3 - m**2. Suppose -5*o - 2 = -4*o. Suppose -81*n + 28 = -53. Give n*y(v) + o*i(v). 4*v**3 Let s(p) = 2*p - 6. Suppose 15*r - 110 = 26*r. Let o be (17/(-10) + (-2)/r)*2. Let c(h) = 10*h - 30. Calculate o*c(l) + 16*s(l). 2*l - 6 Suppose 35*u - 34*u = k - 1, 4*u = -k + 21. Let t(z) = 6*z**3 + 5*z**2 - 4*z - 1. Let l(j) = 5*j**3 + 4*j**2 - 3*j - 1. Calculate k*l(d) - 4*t(d). d**3 + d - 1 Let l(d) = d + 2. Let q be (-1 - -8) + (-85 - -10). Let x = 73 + q. Let k(u) = u + 2. Give x*l(m) - 4*k(m). m + 2 Let w(g) = -g. Let z be ((-97)/(-388))/((-1)/4). Let t(i) = 2*i + 2. Let u be (-5)/(-2)*(-2)/1. Give u*w(k) + z*t(k). 3*k - 2 Let d(t) = 5 - t + 13 + 9 - 31 + 5. Let k(u) = -4*u**2 + 22*u - 22. Give 44*d(r) + 2*k(r). -8*r**2 Let v(j) = 142*j - 70*j - 7 - 73*j + 1. Let z(r) be the second derivative of -r**2/2 - 5*r - 81. Give v(d) - z(d). -d - 5 Let s(j) = 1505*j**2 - 301*j. Let n(m) = -8*m**2 + m. Give -602*n(t) - 2*s(t). 1806*t**2 Let h(c) = c**2 + 3*c - 2. Let x(y) = 14*y**2 + 19*y - 8. Determine -6*h(q) + x(q). 8*q**2 + q + 4 Suppose 5*d - 118 = -4*p, 3*p + 1 + 15 = d. Let m be (0 - 8/3)/(d/33). Let r(b) = -b + 6. Let l(t) = -5. What is m*l(c) - 3*r(c)? 3*c + 2 Let o(u) = 11*u + 1. Suppose -17*w = 26*w - 45*w - 8. Let i(s) = s + 1. Give w*o(c) + 4*i(c). -40*c Let i(x) = 0 - 3*x + 2 - 1 + 2*x. Let a(m) = -850*m - 12. Let j(y) = -232*y - 3. Let n(l) = 6*a(l) - 22*j(l). Determine 5*i(s) + n(s). -s - 1 Let w(i) = 9*i - 2. Let l(q) = 26*q - 5. Suppose -36 = 5*j + u, 4*u - 48 = 4*j + 8*u. Calculate j*l(t) + 17*w(t). -3*t - 4 Let z = -13080 + 13069. Let i(c) = 4*c**2 - 5*c + 5. Let f(o) = 13*o**2 - 14*o + 14. Calculate z*i(x) + 4*f(x). 8*x**2 - x + 1 Let p(v) be the second derivative of -v**5/10 + 7*v**4/12 - 3*v**3/2 - 7*v**2/2 + 2206*v. Let x(y) = y**3 - 3*y**2 + 4*y + 3. What is 6*p(i) + 14*x(i)? 2*i**3 + 2*i Let v be (-20)/(-6)*((-44)/44 - 22/(-10)). Let f(z) = -6*z + 13. Let s(q) = 7*q - 12. Determine v*f(b) + 3*s(b). -3*b + 16 Let p(x) = -1 + 0*x + x + 4*x. Let c(u) = 4*u - 1. Let i(v) = 829*v + 4149. Let t be i(-5). Calculate t*c(s) - 3*p(s). s - 1 Let v(l) = -29*l + 22. Let s(g) = 26*g - 16. Give -3*s(i) - 4*v(i). 38*i - 40 Suppose 5*y = -5*q - 10, 26 = -y - 370*q + 365*q. Let i(f) = -29*f - 4. Let b(z) = -87*z - 11. Calculate y*b(v) - 11*i(v). -29*v Let r(l) = -7*l - 1. Let j(t) = 38*t - 711. Give -j(i) - 6*r(i). 4*i + 717 Let f(m) = -19*m**3 + 2. Let s(r) be the third derivative of r**6/120 - r**3/6 - 2063*r**2. Determine -f(q) - 2*s(q). 17*q**3 Let m(h) = -4*h**2 - 4*h - 2. Let f(b) = -6558*b - 2 + 3 + 6562*b + 3*b**2. Give -5*f(t) - 4*m(t). t**2 - 4*t + 3 Let n(m) be the first derivative of -7*m**3 - 5*m**2/2 + 8*m - 29. Let p(r) = -12*r - 4*r - 1 + r**2 - 6*r**2 + 15*r + 3. What is -2*n(o) + 9*p(o)? -3*o**2 + o + 2 Let c(i) = 3541*i**3 + 10*i**2 - 2*i + 4. Let a(f) = 10623*f**3 + 35*f**2 - 7*f + 14. What is 2*a(v) - 7*c(v)? -3541*v**3 Let g(h) = -2*h - 56. Let w(j) = 40*j + 1230. What is -45*g(a) - 2*w(a)? 10*a + 60 Let b(w) = 3*w + 7. Let m(z) = 6*z + 6 + 0*z + z - 5*z. Let d = 4601 - 4604. What is d*b(h) + 4*m(h)? -h + 3 Let d(y) = y**2 + y. Let r(b) = -4*b**3 + 11*b**2 - 4*b. Give -2*d(n) - r(n). 4*n**3 - 13*n**2 + 2*n Let o(x) = -144*x. Let h(u) be the second derivative of -8 - 6*u + 11/6*u**3 + 0*u**2. Give -40*h(n) - 3*o(n). -8*n Let j(a) = 41*a**3 - 3*a**2 + 3. Let b be -10*12/((-1200)/(-20)). Let c(k) = -42*k**3 + 2*k**2 - 2. Calculate b*j(i) - 3*c(i). 44*i**3 Let u(a) = -15*a - 100. Let i(j) = 18*j + 102. Calculate -3*i(y) - 4*u(y). 6*y + 94 Let r(o) = -o**3 - o - 1. Suppose 51*q = 14 - 116. Let h(v) = 8*v**3 + 7*v - 4. Determine q*h(g) - 14*r(g). -2*g**3 + 22 Let k(g) = -6*g**2 + 3. Let c(a) = a**2 - 1. Let j(t) = 3*c(t) + k(t). Let p(f) = -14*f**2 + f**2 + 0 + 0 + 9*f**2. Give 3*j(h) - 2*p(h). -h**2 Let u(p) = -2*p**3 - 4*p**2 - 4*p. Let j(z) = 6*z**3 + 12*z**2 + 11*z. Let x(m) = -m + 3. Let w be x(-14). Suppose 6 = 10*s - 9*s. Calculate s*j(q) + w*u(q). 2*q**3 + 4*q**2 - 2*q Let t be (1 + -56)*4/(-10). Let v(a) = -a**2 - 2*a - 2. Let m(f) = 1878 + 2251 + 11*f - 4118 + 4*f**2. Give t*v(y) + 4*m(y). -6*y**2 Let z(p) = 2*p - 2*p - 3 - 4*p. Let i(n) = 17*n + 780. Let d be i(-46). Let b(w) = w**2 + 9*w + 7. Determine d*b(v) - 5*z(v). -2*v**2 + 2*v + 1 Suppose 0 = -a + 17. Let c(b) = b + 7. Let l(s) be the first derivative of 3*s**2/2 + 20*s - 15363. Calculate a*c(z) - 6*l(z). -z - 1 Let r(i) = -i**2. Let l(y) = -2*y + 1. Let x = -345 - -357. Let c be ((-92)/(-16) + -5)*32/x. Calculate c*r(v) - l(v). -2*v**2 + 2*v - 1 Let z(t) = 7*t**2 - 3*t - 5. Let k(l) = 20*l**2 - 8*l - 14. Let u =
{ "pile_set_name": "DM Mathematics" }
0. 10 What is the highest common divisor of 184 and 13165108? 92 Calculate the greatest common divisor of 57590020 and 20. 20 Calculate the highest common factor of 13 and 558847991. 13 What is the greatest common factor of 28054944 and 108? 108 Calculate the highest common divisor of 3639 and 19210281. 3639 What is the greatest common divisor of 5357789 and 1206? 67 Calculate the highest common factor of 2938148 and 324. 4 What is the highest common divisor of 35539471 and 10527? 319 What is the greatest common divisor of 40876 and 346852? 44 Calculate the greatest common divisor of 1965118700 and 19. 19 Calculate the highest common factor of 5004 and 33456744. 5004 Calculate the highest common divisor of 2 and 110430870. 2 What is the greatest common factor of 1167 and 42162? 3 Calculate the highest common divisor of 16593599 and 275. 11 Calculate the greatest common divisor of 26359095 and 714. 357 What is the greatest common factor of 157 and 2114633? 157 What is the greatest common divisor of 17730 and 5535810? 90 Calculate the highest common factor of 49822 and 7517968. 1718 What is the greatest common factor of 1708144 and 96? 16 What is the highest common factor of 11797555 and 385? 385 What is the highest common divisor of 1818 and 281592? 18 Calculate the greatest common factor of 1226 and 6114062. 1226 What is the greatest common divisor of 6864 and 109868? 44 What is the greatest common factor of 9 and 245009430? 9 Calculate the highest common factor of 103877 and 88399. 109 What is the greatest common divisor of 4902018 and 4818? 66 Calculate the highest common divisor of 946 and 529383019. 473 Calculate the highest common factor of 6422445 and 16605. 1845 Calculate the highest common factor of 37952 and 29057. 593 What is the greatest common factor of 10920 and 22966216? 728 Calculate the greatest common factor of 31902 and 56588831. 5317 What is the highest common divisor of 1062531 and 828? 207 What is the greatest common divisor of 51 and 247196? 1 What is the greatest common divisor of 262434 and 116790? 1374 Calculate the highest common factor of 45 and 62499180. 15 What is the highest common divisor of 786435127 and 4601? 4601 What is the greatest common divisor of 21105 and 430570? 35 What is the greatest common divisor of 132956 and 1682048? 3092 What is the greatest common factor of 4698 and 3883747338? 4698 What is the greatest common factor of 4 and 4881644? 4 Calculate the highest common divisor of 4517810 and 1340. 670 Calculate the greatest common factor of 1324202 and 33. 11 Calculate the greatest common divisor of 458 and 7396471. 229 Calculate the highest common divisor of 16207 and 10678. 19 What is the highest common factor of 394379 and 42107? 41 What is the highest common divisor of 1388611 and 11067? 119 What is the highest common divisor of 2656654 and 7969? 13 Calculate the greatest common divisor of 7300 and 991025. 25 Calculate the highest common factor of 971403411 and 1419. 1419 What is the greatest common factor of 4833572 and 1394? 82 Calculate the greatest common factor of 3409 and 56306940. 487 Calculate the highest common factor of 673585 and 11516483. 3641 Calculate the highest common divisor of 18133675 and 5650. 2825 Calculate the highest common divisor of 6039 and 2327699. 671 Calculate the greatest common divisor of 685 and 18117839. 137 Calculate the highest common factor of 55 and 117640490. 55 Calculate the highest common factor of 16256 and 18329216. 128 Calculate the highest common factor of 2945 and 1882010. 155 Calculate the greatest common divisor of 3757310 and 5110. 730 What is the highest common factor of 36591 and 2472? 3 Calculate the greatest common factor of 4656140 and 90. 10 What is the highest common divisor of 176535 and 21051? 9 What is the highest common divisor of 58 and 88859422? 58 What is the highest common factor of 7622783 and 29988? 833 What is the greatest common divisor of 378603 and 30705345? 6417 Calculate the greatest common divisor of 1361708 and 675628. 268 Calculate the greatest common divisor of 5048 and 26072. 8 Calculate the greatest common divisor of 3940 and 1018208290. 1970 Calculate the highest common divisor of 2076460 and 106. 2 What is the highest common divisor of 3545874 and 342? 18 What is the greatest common divisor of 17024 and 14877? 19 Calculate the greatest common divisor of 89639265 and 15. 15 What is the highest common factor of 98169838 and 26? 26 Calculate the greatest common divisor of 2226 and 14033446. 742 What is the greatest common divisor of 1027376 and 217? 7 What is the greatest common divisor of 250 and 452430? 10 What is the greatest common factor of 408 and 87494104? 136 Calculate the greatest common factor of 3751 and 7352323. 121 Calculate the greatest common divisor of 11662588 and 1570. 314 What is the highest common divisor of 801749 and 1443? 13 Calculate the highest common divisor of 164239911 and 396. 99 What is the highest common factor of 526119 and 1566587? 1177 Calculate the greatest common factor of 48536579 and 16933. 287 What is the greatest common factor of 4784299 and 14651? 299 What is the highest common factor of 1474343717 and 68? 17 What is the highest common divisor of 133964848 and 88? 8 What is the greatest common factor of 3612 and 17862759? 129 Calculate the highest common divisor of 87133550 and 6266. 482 Calculate the greatest common factor of 105395 and 127865. 535 What is the greatest common divisor of 282289 and 406? 7 Calculate the greatest common divisor of 11137 and 98325391. 1591 Calculate the greatest common factor of 114863436 and 226458. 9846 Calculate the highest common factor of 15417 and 1066057. 571 What is the greatest common divisor of 2453679 and 551? 19 Calculate the highest common factor of 2925 and 7073820. 585 What is the highest common factor of 45573 and 4686? 33 What is the greatest common divisor of 113750 and 21625? 125 Calculate the highest common factor of 4 and 416013. 1 Calculate the greatest common factor of 4366555 and 740. 185 Calculate the highest common divisor of 13 and 12680941. 13 Calculate the highest common divisor of 84 and 117512832. 12 What is the highest common factor of 525695 and 7413418? 2237 Calculate the highest common factor of 95 and 7965. 5 What is the highest common factor of 150977 and 232832? 1819 What is the highest common divisor of 110 and 1034040986? 22 Calculate the greatest common factor of 567077 and 51688. 497 What is the highest common factor of 1294942 and 11858? 242 Calculate the greatest common divisor of 13290 and 2393850. 30 Calculate the highest common divisor of 68565 and 43260. 105 What is the highest common factor of 56252 and 2965448? 164 What is the highest common factor of 9292 and 2033332? 404 Calculate the highest common factor of 92628 and 5425062. 186 What is the greatest common factor of 527753633 and 11? 11 What is the greatest common factor of 5329260 and 1215? 135 What is the highest common factor of 9 and 3885339? 3 What is the highest common divisor of 128843 and 583? 583 Calculate the greatest common divisor of 147960 and 7647340. 2740 What is the highest common divisor of 128952 and 402408? 648 Calculate the highest common factor of 15367264 and 704. 352 Calculate the greatest common factor of 54 and 29581038. 54 Calculate the greatest common divisor of 2461 and 141749. 23 What is the greatest common factor of 7177742 and 1397? 11 What is the greatest common factor of 92596 and 91? 7 What is the highest common divisor of 100 and 8621950? 50 What is the greatest common factor of 1125 and 675? 225 What is the highest common divisor of 60389100 and 22644? 612 What is the highest common factor of 106 and 445518? 106 Calculate the highest common divisor of 7 and 68461533. 7 What is the highest common factor of 7440 and 1036144? 496 Calculate the greatest common factor of 346 and 10197658. 346 What is the greatest common factor of 105372 and 74268? 36 Calculate the greatest common factor of 21117976 and 550. 22 Calculate the highest common divisor of 146559 and 1028904. 2991 What is the highest common factor of 324343188 and 306? 18 Calculate the greatest common factor of 3300 and 7964025. 75 Calculate the great
{ "pile_set_name": "DM Mathematics" }
-2)/(v*-4)*10. Solve j*u = -0*u for u. 0 Let r(h) = h**2 - 2*h - 2. Let i be r(4). Suppose 5*j = -5*f + 2*f + 4, 4*j + 2 = -5*f. Solve j*k = -0*k - i for k. -3 Let d(v) = 3*v**3 - v**2 - v + 1. Suppose 2*m = 3*s + 3, -5*m + 9 + 6 = 0. Let x be d(s). Solve 0 = -x*b + 6*b for b. 0 Suppose -5*c - 11 = 29. Let w be (-7 - -4)/(2/c). Suppose 0 = 4*n + f + 3, n + n + w = -4*f. Solve 8 = -n*p + 2*p for p. 4 Let l(h) be the third derivative of h**6/24 - h**5/60 - 4*h**2. Let y be l(1). Solve y*k = 2*k for k. 0 Let b = -41 - -46. Solve b*h + 9 = -11 for h. -4 Let n be (5/3)/((-2)/(-6)). Suppose 3*v + n*p = -0*v - 8, 3*p = -3*v - 12. Let b be (0*3/v)/2. Solve b*i + i - 1 = 0 for i. 1 Let s(a) = 7*a - 21. Let f be s(3). Solve f = -m - 7 + 4 for m. -3 Let w = -9 - -2. Let n = -2 - w. Solve n*i - 4*i = 3 for i. 3 Let p = -19 + 11. Let s = p - -8. Solve -j - 3 = -s*j for j. -3 Let j be 0 - (0 + 0) - -15. Suppose -3*h = -j, -26 = -2*q - 3*h - h. Let x be (-1 - 2)/q*-2. Solve -x*s = s + 12 for s. -4 Let y be (-1 - 0)*2/(-1). Suppose -2*v + 56 = 2*o, o = 5*o - 12. Suppose 10 = -v*u + 30*u. Solve y*w + 0*w = -u for w. -1 Let b be (-55)/(-6) - 1/6. Suppose -4*c + 3 + b = 0. Solve -c*g + 2*g = 1 for g. -1 Suppose 5*m + 2*u - 20 = 0, 7*u + 12 = 3*m + 2*u. Solve -m*h + 8*h = 16 for h. 4 Let k(i) = -2*i - 6. Let o be k(-6). Let b = o + -3. Solve -1 = -h - b for h. -2 Let v = 0 - -18. Suppose 5*k - 2*g = 42, -g = -k - 3*g + v. Solve -c - k = c for c. -5 Let r(h) = h**3 + 2*h**2 - 8*h. Let b be r(-4). Solve b = -8*w + 4*w + 12 for w. 3 Suppose 0 = -3*x + 2*d + 12, 4*d + 0 = -x - 10. Solve -x + 0 = -2*a for a. 1 Let x = -5 + 7. Solve 17 = 5*p + x for p. 3 Let b(c) = c**3 + 6*c**2 - 6*c + 7. Let v = 11 - 18. Let x be b(v). Solve 3*m - 5*m + 6 = x for m. 3 Let x be 0/(-3 + -2 + 3). Solve x = 4*u - 4 + 24 for u. -5 Suppose 3*p + v - 16 = 0, -3*p - 2*p + 20 = -5*v. Suppose 2*g + 1 - p = 0. Solve -u = -3*u - g for u. -1 Suppose -3*p + 4*h + 52 = 0, -2*p + 0*h - 5*h = -50. Solve 10*u - p = 5*u for u. 4 Suppose 4*h + 3*y - 19 = 0, -4*h + 4*y = -y + 21. Let z(d) = d**2 + 4*d. Let o be z(-4). Solve -r + o*r = h for r. -1 Let z = 2 - 1. Suppose 5*k - 4 - 1 = 0. Let y be -2 + 0 + k*4. Solve -y*m + 3*m = z for m. 1 Let a be 16/28 - (-24)/7. Solve a*x = 2*x + 10 for x. 5 Let w(v) = 0 + 6 - 3*v - 4. Let a be w(6). Let o = -11 - a. Solve 3*g + 2 = o for g. 1 Suppose 0*k = -4*k. Solve k*u = 3*u for u. 0 Let c(k) = -k**3 + 6*k**2 - 6*k. Let q be c(4). Solve -q = -0*u + 4*u for u. -2 Suppose -5*r - 5 = -3*f + 33, f + 3*r + 6 = 0. Suppose f*o = 5*o + 8. Solve -3*d - o = 1 for d. -3 Let u be (84/18)/((-2)/6). Let t = -10 - u. Solve -t*p = -2*p + 2 for p. -1 Let t(f) = -f**3 + 2*f**2 - 3*f + 1. Let j be t(2). Let o(k) = k**2 + 4*k - 4. Let g be o(j). Let r(c) = c + 1. Let z be r(-1). Solve y = -g - z for y. -1 Let z = -50 + 50. Solve z = -5*k - 2 - 3 for k. -1 Let z = -3 - -8. Suppose 4*n + 4*i = 24, 10*n - 14*n - i = -12. Solve n = -p + z for p. 3 Let f be (-1)/3 - 11/3. Let y = f - -6. Let b be (y*1)/((-3)/(-24)). Solve n + 3*n = b for n. 4 Let c be (-16)/(-3) - 1/3. Let v = 110 + -54. Suppose -55 = -c*n + 5*j - 0, 5*n - 4*j = v. Solve -2*g - 2*g = -n for g. 3 Let w = -96 + 98. Solve h = w*h for h. 0 Let l be 43/5 + 6/15. Solve -w = -4*w + l for w. 3 Let v(x) = x - 6. Let p(o) = -2*o - 4. Let z be p(-5). Let j be v(z). Solve j = r - 0*r - 5 for r. 5 Let o = -41 + 46. Solve -4*v = -o - 15 for v. 5 Let t be ((-2)/4)/((-4)/16). Suppose t*x = 8*x - 12. Solve -r - x = 2 for r. -4 Suppose -m - 6 = -2*m. Suppose -p = -6 - 0. Let z = p + m. Solve -2*i - z = i for i. -4 Suppose 5*j - 18 = -c + 8, -5*j + 22 = -3*c. Solve -j*y + 4*y = 1 for y. -1 Let y be (1 + 3 - 2) + 6. Solve 0 = 4*v + y for v. -2 Let d(f) = f + 4. Let b be d(-4). Let y be 2/(1 - 0 - b). Solve -9 = y*u + u for u. -3 Let n be 38/95 - 78/(-5). Solve 0 = 5*v - 1 + n for v. -3 Suppose -5*s + 4 = -21, -26 = -2*o - 4*s. Solve -12 = o*u - 3 for u. -3 Suppose 3*j - 7*j - 5*y = 13, -y = -j + 8. Suppose -5*f - 10 = -0. Let t = f + 14. Solve -j*h - t + 0 = 0 for h. -4 Let g = 71 - 69. Solve g*c + c = 0 for c. 0 Suppose 0*u - 4*u = 0. Suppose 0*q - q = u. Solve q = -w + 5 - 2 for w. 3 Let b be (-38)/(-8) + (-2)/(-8). Let t(j) = -4*j**2 + j**3 + 20*j - 19*j - j**2 - 5. Let p be t(b). Solve p*n - n = 4 for n. -4 Let l = -1 + 9. Let d be (9*l/12)/2. Solve -d*c - 2 = -4*c for c. 2 Suppose 3*n + 4*s - 9 = 0, 16 = 4*n + 5*s + 4. Solve -n*r - 12 = 3 for r. -5 Let v = 28 + -23. Solve 0 = 2*b - v - 3 for b. 4 Let k(z) = z**2 + 5*z - 2. Let y be k(-6). Suppose y*c = -4*l, 3 + 2 = -5*l. Let s be (-1 - -26) + 2*c. Solve -5*b = -s + 2 for b. 5 Let b be ((-2)/4)/((-11)/66). Let t be b + (1/(-1) - -1). Solve 0 = t*r - 6*r - 9 for r. -3 Let z(p) = -p**3 + 2*p**2 + 4*p - 1. Let m be z(3). Solve -3*s = -4*s - m for s. -2 Suppose 4*s = 20 + 4. Suppose s*x - x = 10. Solve 0*w + x = -2*w for w. -1 Suppose h = -0*h - 3, -5*g + 2*h = -71. Let s be (-12)/4 - 24/(-4). Solve -s*q + g = 4 for q. 3 Let k be 11 - 7 - 0/1. Solve -k*m = -3*m for m. 0 Suppose 2*n + 20 = -5*t, 3*t + 15 - 3 = 3*n. Suppose n*y + 84 = 3*y. Suppose -y = -5*h - 8. Solve 0 = -h*l + 3 + 5 for l. 2 Let r be 5/(-10) + (-11)/(-2). Suppose -r + 3 = 2*b. Let c be b/(-4) + (-14)/(-8). Solve -3*q - 8 + c = 0 for q. -2 Let u(a) = 16*a**2 - 3*a + 2. Let f be u(1). Let m(x) = -x**3 + 16*x**2 - 16*x + 18. Let p be m(f). Solve 1 - p = 2*g for g. -1 Suppose 3*z - 265 = -z + d, -4*d + 260 = 4*z. Suppose 0 = 4*v - z - 54. Let a = -16 + v. Solve 0 = 4*p + a + 2 for p. -4 Let u be (-74)/(-6) + 3/(-9). Solve -u = -5*f + 2*f for f. 4 Let g(j) = -1. Let t(b) = -b + 7. Let w(l) = -3*g(l) - t(l). Let i be w(4). Suppose i*f - 2*f = -16. Solve f = 4*q - 0*q for q. 2 Let s(q) = -q + 8. Let i be s(4). Suppose -1 = w + 3. Let a be w/i*(0 + -8). Solve -3*l - a = -l for l. -4 Let t(c) = 10 - 3*c - 8 + 4*c. Let z be t(2). Solve a + z = 3*a for a. 2 Let l = 2 + -2. Let o(v) = v**2 - 3*v - 1. Let b be o(4). Suppose -w = 3*w - 12. Solve w*j = -l*j - b for j. -1 Suppose 0 = 3*p - 3 - 6. Suppose 129 = 5*x - 4*k, 0 = 3*k - 6*k - p. Solve -5*w + 0*w + x = 0 for w. 5 Suppose -p = 2*q + p, 2*q = p + 9. Suppose -q*f = -0*f - 9. Solve -s = f - 1 for s. -2 Let s be (1/2)/((-1)/(-30)). Suppose -3*g = s, 5*f - 2*g = -7*g - 25. Let b = f - -5. Solve -h = -b*h - 20 for h. -5 Let k be ((-33)/(-22))/((-2)/(-4)). Solve -4 = k*s - s for s. -2 Let d = 1 - 3. Let j be d/5 + 4/10. Solve 2*m = -j + 2 for m. 1 Suppose -2*g = -4*g - 2. Let q = 3 + g. Suppose -15 = -q*b + 23. Solve 5*k + b + 1 = 0 for k. -4 Let c(o) = -o**3 + 5*o**2 + 9*o - 15. Let n be c(6). Solve g + 1 = -n for g. -4 Suppose 4*o - 7*o + 24 = 0. Let h(i) = 2*i**3 + i - 1. Let j be h(1). Let t = 4 - j. Solve 3*a = o - t for a. 2 Let z be (-3)/9*(17 + -2). Let q = -1 - z. Solve 0*b + q = -2*b for b. -2 Let b(w) = w**2 - 9*w + 9. Let s be b(8). Let g be 16/3 + 3/(-9). Solve -4*u - g = -s for u. -1 Suppose 4*l - 12 = -4*q, l = -2*q - 3*l + 6. Let f be 3*(-5)/(-9)*q. Solve -3*z + f + 1 = 0 for z. 2 Let u = -10 + 16. Let t(w) = w**3 - 6*w**2 - w + 6. Let f be t(u). Suppose f*k = 2*k - 2. Solve 3 + k = -4*d for d. -1 Let r = 42 + -40. Solve r*w + 3*w = 0 for w. 0 Let o be 10/(-6) - (-1)/(-3). Let j = o + 2. Suppose -3*p = -j*p - 45. Solve 2*x + x = -p for x. -5 Let l be (0/(-1))/(-1 + -1). Suppose l = -f - 2 + 5. Suppose 88*a - 84*a = 0. Solve a = f*w - 5*w + 6 for w. 3 Suppose 5*u - 6*u = 0. Solve u = -2*z + 3*z + 2 for z. -2 Let u(h) = 2*h**2 + h + 2. Let f be u(-1). Solve 0*d - f = d for d. -3 Let a(d) = -d**2 - 4*d + 6. Let n be a(-5). Let i be 1 + 2 + 0 + n. Suppose -2*o + 1 + 1 = 0, -3*h + 2*o = -7. Solve 0 = i*v - 19 + h for v. 4 Let w(p) = p**3 - 23*p**2 - 2*p + 47. Let t be w(23). Solve 5*d = -t + 6 for d. 1 Suppose 2*l = 5*i - 1 - 8, -21 = -2*l - 5*i. Solve -l = 5*z + 22 for z. -5 Let m = -41 + 41. Solve m = d + d for d. 0 Let u(v) = v**2 + 8*v + 9. Let j be u(-7). Let y be (2*3)/((-6)/(-3)). Let t = 4 - -11. Solve -t = -y*z - j*z for z. 3 Let p be (2 + -1)/1 - 1. Solve -2*w = -p*w for w. 0 Let t be 3 + ((-215)/75 - (-2)/(-15)). Solve t = 4*i + i + 25 for i. -5 Suppose -5*p - 18 = 2*i - 0, 3*i - 2*p = 11. Let r(j) be the first derivative of j**3/3 + 15*j**2/2 + 17*j + 4. Let u b
{ "pile_set_name": "DM Mathematics" }
12*x = -14 for x. 1 Suppose -2*u + 3*q + 42 = 0, -4*q - 53 + 37 = -u. Solve -57*z + u*z = 165 for z. -5 Let q be (-5)/4 - (-60)/48. Let a be (-1 - q) + (-3)/(-1). Solve -a*p + 7*p = -5 for p. -1 Let c(h) = h**2 - 45*h + 400. Let r be c(33). Let w be (-12)/20*10/(-2). Suppose -7*f + 2*f - g = -3, -9 = 2*f - w*g. Solve r*t - 14 - 6 = f for t. 5 Let u = 381 - 378. Let k be (4 - -1) + u - 8. Suppose 3*h = 8*h. Solve h = t - k*t - 4 for t. 4 Let o(r) = r**3 - 2*r**2 + 2*r - 13. Let z be ((-9)/(-6))/(8/16). Let q be o(z). Solve 2*p + q = p for p. -2 Let d(o) = o**2 + 32*o - 102. Let m be d(-35). Solve -9*x = -m + 57 for x. -6 Let t be (-11)/(66/14)*309. Let i = 725 + t. Solve 2*n - 4*n + i = 0 for n. 2 Let i(k) = 2*k**2 + 4*k + 2. Let l be i(-2). Suppose -5*g = 4*h - 7, -h - 4 = -l*h + g. Let v be ((-1)/h + 0)*0. Solve 1 = r - v*r for r. 1 Let t be (-2 + 4)/(-2 + 612/303). Let w = t + -100. Let h be 0/3 - (-4)/2. Solve 0 = -h*j + w + 1 for j. 1 Let j(f) = -f**2 - 10*f + 14. Let x be j(-8). Suppose 0 = -173*n + 170*n + x. Solve c = n*c for c. 0 Suppose 0 = -12*m - 37 + 13. Let f be (0 - -3)*(m + (-40)/(-12)). Solve -4*u = -2*u + f for u. -2 Let o(y) be the second derivative of y**3/6 - 5*y**2/2 + 2*y - 27. Let a be o(5). Solve 0 = -3*u - 9 - a for u. -3 Let x = -26 + 28. Let c = 1408 + -1407. Solve c = 3*f - x*f for f. 1 Let j(c) = 3*c**2 + 2*c - 4. Let q = -22 - -37. Let g(h) = h**3 - 16*h**2 + 15*h - 2. Let y be g(q). Let t be j(y). Solve t = -0*x - 2*x for x. -2 Let l = -3 + 1. Let k be (-1 - l) + 3 + -1. Suppose 0 = -1701*d + 21898 - 1486. Solve -k*p - p = -d for p. 3 Let n(s) = 3*s**2 + 11*s - 68. Let f be n(-12). Let q = f - 228. Solve q*x - 20 = -0*x for x. 5 Suppose b + 7*f - 10*f = 360, -5*b + 3*f = -1800. Let o be (-10)/4*b/(-75). Solve 6*l - o = -0*l for l. 2 Let z(t) = -3*t - 30. Let x be z(-9). Let q be (x/(-3))/(5/10). Solve -g = -q*g - 3*g for g. 0 Let f be 2/(-3) + 7/(-21) - 5. Let l be 0/(8/(-2 - f)). Suppose 0 = -v + 3*v - l*v. Solve v = 2*r - r for r. 0 Let j(c) = c**3 - 11*c**2 + 10*c + 3. Let i be j(10). Let w = 1163 - 1149. Solve -w = i*p - 5 for p. -3 Suppose -5*a - 70 = 175. Let p = a - -54. Suppose 0 = -2*q - 5*c - 0*c + 14, 0 = 3*q - p*c + 4. Solve -g - q - 2 = 0 for g. -4 Suppose -19*k + 16*k = 27*k - 12870. Solve 2*o = -433 + k for o. -2 Suppose -7*w - 4*k + 99 = -2*w, -w - k + 21 = 0. Solve -3*u = w - 30 for u. 5 Let z be -16 - -11 - (-1)/(2/10). Suppose -5*i - o + 22 + 2 = 0, z = -4*i - o + 20. Solve i*s + 10 = 26 for s. 4 Suppose 3*f + 8 = z + 28, -3*z = -4*f + 35. Suppose 0 = 4*l - f - 15. Suppose -4*x - x + 28 = 2*u, 0 = -l*u - x + 24. Solve 0 = -u*w + 4 for w. 1 Let h = -27228 + 27228. Solve -139*u + 124*u - 120 = h for u. -8 Suppose -5*h - 18 = -4*j, -4*h = 5*j - h - 4. Let a be (-21)/(-105) + (-2)/10. Solve x - j*x = a for x. 0 Suppose -15*j = -9*j - 12. Let t be -4 + (12 - 4)/(4/j). Solve -5*h + 12 - 17 = t for h. -1 Suppose -3*a = -3*y - 57, -3*a + 70 - 7 = -y. Suppose 6*l - a - 2 = 0. Let o = -12 + 16. Solve -2*n - o = -l*n for n. 2 Let f(l) = l**2 + 20*l + 214. Let y be f(-9). Solve 50 = 105*h - y*h for h. -5 Let z = 121 + -116. Suppose 0 = 3*c - 5*p - 38, 4*p - 42 = -z*c + 7*p. Solve 2*j + 8 = c*j for j. 2 Suppose -218*w + 12505 = -64231. Solve 0 = -w*x + 347*x + 30 for x. 6 Let t = -7 + 12. Let a be ((-200)/35 + 1 - (-6)/(-21))/(-1). Suppose d + 3*d = 3*g + 8, a*g + t*d = 45. Solve 0 = -c + g*c for c. 0 Suppose 8*t = -230 + 246. Solve -142 - t = 48*u for u. -3 Let f(o) = -57*o + 1516. Let r be f(26). Solve -35*q + r*q - 2 = 0 for q. -2 Suppose -6 + 0 = 3*w. Let j(d) be the third derivative of -d**4/24 - 68*d**2. Let x be j(w). Solve -x*z = 3*z for z. 0 Let b(o) = o**2 - 22. Let y be b(0). Let q = -172 + 194. Let d = y + q. Solve -2*z + 6*z - 20 = d for z. 5 Suppose 2 = -2*f - b, 5*f - 240*b + 239*b - 9 = 0. Solve -3*j + f = -4*j for j. -1 Let g be -13 - -13 - 2 - -16. Solve -6*n - 8 = -g for n. 1 Suppose 0 = 35*c - 33*c - 6. Let a = 118 - 63. Let p = a - 55. Solve p = -c*j - j for j. 0 Suppose 4*k + 2*i - 130 = 0, -4*i = -k + 22 + 24. Suppose -10*u = -4*s - 13*u + 29, -5*s - 3*u = -k. Solve -s*q + 1 = -4*q for q. 1 Suppose 0*n - 2*n - 5*p = 109, -2*n + 3*p - 101 = 0. Let x = -27 - n. Suppose -9 = 16*f - x*f. Solve -2*t + 9 + f = 0 for t. 5 Let a be 7 - (-2 - -4) - 287/(-1). Let v = 307 - a. Solve 5 = -5*t - v for t. -4 Let d = -112 + 116. Suppose -2*t + 20 = -4*z - 32, 0 = 5*t + d*z - 60. Suppose -4*s = -3*y - 0*s - 10, -t = -4*s. Solve 0 = -6*p + y*p for p. 0 Suppose -5*h + 3*y = -146, 3*h + 245 = -3*y + 323. Solve -h*d + 72 = -4*d for d. 3 Let r = 712 + -712. Suppose s - 1113 + 1108 = r. Solve 5*n + s*n + 10 = 0 for n. -1 Let f = 12 + -7. Let h = -118 + 123. Let y be h/(-2)*32/(-40). Solve y*o - o + f = 0 for o. -5 Let p be (6 - 5)*28 + -2. Solve -15*l + 4 = -p for l. 2 Suppose 40*l - 42*l + 403 = -3*x, 2*x - 198 = -l. Let q = -197 + l. Solve 0*v + 9 = q*v for v. 3 Let f(h) = 2*h**2 + 29*h + 68. Let n be f(-9). Let s = -79 - -48. Let o = n - s. Solve k + 4*k - 15 = o for k. 3 Suppose 3*d - 6 = 0, 3*d - 13 = -3*w - 2*d. Let u be (-2 + 7/4)*(w - 1). Solve a = -u + 2 for a. 2 Let b be -4 - -13 - -419 - 5/(15/12). Solve 375 - b = 7*o for o. -7 Let t(m) = -m**3 - 3*m**2 + 8*m + 1. Let l be t(7). Let r = 441 + l. Solve 0 = 13*s - 9*s - r for s. 2 Suppose -3*a + 5*p = -123 + 51, a = 6*p + 37. Solve -a*j = -121 + 235 for j. -6 Suppose -5*a + 888 = -3*a. Let v = a - 440. Solve 7*x - 31 = v for x. 5 Suppose 44*k - 5268 - 452 = 0. Solve -k*j - 306 = -181*j for j. 6 Let a(h) = 34*h - 573. Let j be a(17). Suppose i = 9 - 4. Suppose 3*v - v + r = i, -r = -4*v - j. Solve v = -4*x + 3 - 19 for x. -4 Let g(l) = 2*l**2 + 47*l - 14. Let h be g(-22). Let a be (-690)/h - 12/(-32). Solve -4*f - 11 = a for f. -5 Let l(v) = -3*v**3 - 11*v**2 - 8*v + 8. Let n be l(-4). Let x be ((-14)/(n/30))/((-10)/8). Solve 7*c = x*c + 1 for c. 1 Let x(d) = d**3 - d**2 - 56*d + 2. Let y be x(8). Suppose 4*l - l + 6 = 0. Let n = l - -3. Solve y + n = -3*u for u. -1 Let o = -88 - -88. Let a be ((-15)/3 + 11)*4/6. Solve o = -a*q + 3*q + 3 for q. 3 Let f be (6 + (-70)/10)*(-1 - 18). Solve -12*w = -f - 29 for w. 4 Let d be (6/(-15))/((-84)/206430). Solve 953 = -6*t + d for t. 5 Let a be (-4 - (-4 + 2))*-2. Let k = 3 - a. Let w(o) = 5*o**2 + 3*o + 1. Let g be w(k). Solve -b + g = -2 for b. 5 Let u = 2 - -8. Let k(b) = -11*b + 319. Let n be k(29). Solve n = a + 11 - u for a. -1 Let r be 0*(9/6 + -2). Let u(z) = -54*z - 1186. Let j be u(-22). Solve 4 = -j*s - r for s. -2 Let w(a) = -a**3 + 5*a**2 + 5*a + 13. Let b be w(6). Let q = -2642 - -2649. Solve -q = 2*p - b for p. 0 Let g = -1677 - -1699. Solve 20 = -d + g for d. 2 Let c(m) be the first derivative of m**4/4 + 2*m**3 + m**2 - 9*m - 11. Let y be c(-5). Suppose -2*r - 8 = -y*r - v, 3*v = -3*r + 6. Solve -3*h - 1 = r for h. -1 Suppose -62 = -60*y + 718. Solve 16*u = y*u - 3 for u. -1 Suppose 0 = -8*l - 8 + 136. Suppose 4*h = -2*z, -5 = 3*z - 5*h - l. Let o be z/7 + (-987)/(-147). Solve -o = -4*a + 1 for a. 2 Let l(a) = -a**2 + 101*a + 18. Let w be l(0). Solve -26 - w = 22*m for m. -2 Let n be (-3190)/(-99) - 4/18. Suppose -6*m = 8 - n. Solve 0 = m*h - 15 - 5 for h. 5 Let u(h) = -h**2 + 5*h + 18. Let q(n) = -76*n**3 + n**2 + 3*n + 2. Let c be q(-1). Suppose -35 = c*p - 81*p. Let s be u(p). Solve -1 + s = 3*x for x. 1 Let d = 20 - 18. Suppose -2*n = -2*x - 13 + 43, d*x - n = 30. Let k be (-8)/(-5)*(1 + x/10). Solve -2*a + a - k = 0 for a. -4 Let z(l) = 24*l**2 - 229*l - 61. Let o be z(10). Solve 17 = 33*y - o for y. 2 Let r(w) = w**2 + 11*w - 15. Let m be r(-13). Let z be (-24)/32 - 63/(-4). Suppose -m*x - z = -16*x. Solve 0 = 2*h - x - 3 for h. 3 Let d(c) = c**3 - 3*c**2 - 3*c. Let t be d(4). Suppose 204*g - 1664 + 1026 = 2014. Solve -t*x - 13 + g = 0 for x. 0 Let w be (8/16*1)/((-1)/(-4)). Suppose 5*l - 7 - 43 = 0. Suppose 7 = 7*x - 21. Solve -l = -x*h + w for h. 3 Suppose -4*y + 3*s = -69, -4*y + 88 + 16 = 4*s. Solve -5*d - y + 1 = 0 for d. -4 Let c(g) = 141*g - 3. Let p be c(3). Let z = -417 + p. Solve 0*x - z*x - 15 = 0 for x. -5 Suppose h - 444 = -396. Suppose 4*r + 12 = 2*n, 5*n + 18 = 4*r + h. Solve -n*g = -12 - 12 for g. 4 Suppose -r = 4*c + 6, -2*r - r + 3*c + 12 = 0. Suppose 0 = o - r*m,
{ "pile_set_name": "DM Mathematics" }
he square root of 439075 to the nearest integer? 663 What is the eighth root of 1014359 to the nearest integer? 6 What is 239884 to the power of 1/3, to the nearest integer? 62 What is the third root of 1388773 to the nearest integer? 112 What is the tenth root of 769091 to the nearest integer? 4 What is 6005935 to the power of 1/2, to the nearest integer? 2451 What is the square root of 593119 to the nearest integer? 770 What is the third root of 383538 to the nearest integer? 73 What is the ninth root of 340498 to the nearest integer? 4 What is 19726702 to the power of 1/3, to the nearest integer? 270 What is the third root of 21180 to the nearest integer? 28 What is the square root of 24931917 to the nearest integer? 4993 What is the tenth root of 6465865 to the nearest integer? 5 What is 215718 to the power of 1/2, to the nearest integer? 464 What is 2514345 to the power of 1/3, to the nearest integer? 136 What is 319675 to the power of 1/3, to the nearest integer? 68 What is the third root of 8766917 to the nearest integer? 206 What is 63927 to the power of 1/7, to the nearest integer? 5 What is 9656740 to the power of 1/3, to the nearest integer? 213 What is 996241 to the power of 1/2, to the nearest integer? 998 What is the third root of 18060991 to the nearest integer? 262 What is the square root of 1405339 to the nearest integer? 1185 What is the fifth root of 162160 to the nearest integer? 11 What is 2338490 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 28103962 to the nearest integer? 17 What is the fourth root of 434332 to the nearest integer? 26 What is 351367 to the power of 1/9, to the nearest integer? 4 What is the third root of 891759 to the nearest integer? 96 What is the cube root of 723209 to the nearest integer? 90 What is 2274185 to the power of 1/5, to the nearest integer? 19 What is the ninth root of 3509491 to the nearest integer? 5 What is 5225845 to the power of 1/9, to the nearest integer? 6 What is the cube root of 1435872 to the nearest integer? 113 What is 6990223 to the power of 1/3, to the nearest integer? 191 What is 441425 to the power of 1/9, to the nearest integer? 4 What is the third root of 21677782 to the nearest integer? 279 What is 281079 to the power of 1/2, to the nearest integer? 530 What is 3035715 to the power of 1/2, to the nearest integer? 1742 What is 1520295 to the power of 1/2, to the nearest integer? 1233 What is the third root of 844961 to the nearest integer? 95 What is the square root of 15993660 to the nearest integer? 3999 What is the fourth root of 2893644 to the nearest integer? 41 What is the cube root of 942533 to the nearest integer? 98 What is the square root of 1802790 to the nearest integer? 1343 What is 13263313 to the power of 1/3, to the nearest integer? 237 What is 4637369 to the power of 1/2, to the nearest integer? 2153 What is 6566371 to the power of 1/2, to the nearest integer? 2562 What is 1650617 to the power of 1/3, to the nearest integer? 118 What is the square root of 752439 to the nearest integer? 867 What is the square root of 534354 to the nearest integer? 731 What is the cube root of 306566 to the nearest integer? 67 What is 1373056 to the power of 1/2, to the nearest integer? 1172 What is the square root of 4039297 to the nearest integer? 2010 What is the square root of 19023096 to the nearest integer? 4362 What is the sixth root of 29998988 to the nearest integer? 18 What is the cube root of 1121696 to the nearest integer? 104 What is the square root of 4703428 to the nearest integer? 2169 What is 39417 to the power of 1/3, to the nearest integer? 34 What is 508647 to the power of 1/2, to the nearest integer? 713 What is the eighth root of 332935 to the nearest integer? 5 What is the fourth root of 544725 to the nearest integer? 27 What is the square root of 17257055 to the nearest integer? 4154 What is the cube root of 159510 to the nearest integer? 54 What is 3118262 to the power of 1/2, to the nearest integer? 1766 What is the third root of 190241 to the nearest integer? 58 What is the third root of 19903393 to the nearest integer? 271 What is 165898 to the power of 1/2, to the nearest integer? 407 What is 1168303 to the power of 1/2, to the nearest integer? 1081 What is 1333820 to the power of 1/3, to the nearest integer? 110 What is 1282147 to the power of 1/2, to the nearest integer? 1132 What is the seventh root of 2111495 to the nearest integer? 8 What is the eighth root of 571866 to the nearest integer? 5 What is the third root of 5954727 to the nearest integer? 181 What is 1563462 to the power of 1/2, to the nearest integer? 1250 What is 1209691 to the power of 1/6, to the nearest integer? 10 What is 2025879 to the power of 1/2, to the nearest integer? 1423 What is 26618803 to the power of 1/5, to the nearest integer? 31 What is 336662 to the power of 1/7, to the nearest integer? 6 What is 540494 to the power of 1/2, to the nearest integer? 735 What is the third root of 18693641 to the nearest integer? 265 What is the cube root of 13123604 to the nearest integer? 236 What is the third root of 2704792 to the nearest integer? 139 What is the cube root of 16459441 to the nearest integer? 254 What is the fifth root of 1508228 to the nearest integer? 17 What is the cube root of 223671 to the nearest integer? 61 What is 1575566 to the power of 1/7, to the nearest integer? 8 What is the sixth root of 1609951 to the nearest integer? 11 What is the square root of 872069 to the nearest integer? 934 What is the eighth root of 974235 to the nearest integer? 6 What is the third root of 19979039 to the nearest integer? 271 What is the square root of 19201082 to the nearest integer? 4382 What is 1257128 to the power of 1/4, to the nearest integer? 33 What is the square root of 2235248 to the nearest integer? 1495 What is the seventh root of 303591 to the nearest integer? 6 What is 1348690 to the power of 1/8, to the nearest integer? 6 What is 6205356 to the power of 1/6, to the nearest integer? 14 What is 3289018 to the power of 1/7, to the nearest integer? 9 What is 12296400 to the power of 1/6, to the nearest integer? 15 What is 178840 to the power of 1/8, to the nearest integer? 5 What is 206818 to the power of 1/4, to the nearest integer? 21 What is 5363818 to the power of 1/10, to the nearest integer? 5 What is 24042 to the power of 1/3, to the nearest integer? 29 What is the square root of 485476 to the nearest integer? 697 What is the fourth root of 490864 to the nearest integer? 26 What is the square root of 6645658 to the nearest integer? 2578 What is the eighth root of 622707 to the nearest integer? 5 What is 219947 to the power of 1/2, to the nearest integer? 469 What is 2867065 to the power of 1/5, to the nearest integer? 20 What is the square root of 13947197 to the nearest integer? 3735 What is 4070477 to the power of 1/2, to the nearest integer? 2018 What is the eighth root of 1370819 to the nearest integer? 6 What is 86227 to the power of 1/2, to the nearest integer? 294 What is the square root of 2675069 to the nearest integer? 1636 What is 3126586 to the power of 1/2, to the nearest integer? 1768 What is the square root of 1573770 to the nearest integer? 1254 What is 81831 to the power of 1/4, to the nearest integer? 17 What is the square root of 135642 to the nearest integer? 368 What is 98394 to the power of 1/2, to the nearest integer? 314 What is the cube root of 2264055 to the nearest integer? 131 What is the third root of 1984607 to the nearest integer? 126 What is 1400813 to the power of 1/5, to the nearest integer? 17 What is the square root of 685179 to the nearest integer? 828 What is 43389 to the power of 1/2, to the nearest integer? 208 What is 5831606 to the power of 1/2, to the nearest integer? 2415 What is the third root of 133802 to the nearest integer? 51 What is 1131064 to the power of 1/3, to the nearest integer? 104 What is 709271 to the power of 1/2, to the nearest integer? 842 What is the seventh root of 27667667 to the nearest integer? 12 What is the square root of 692024 to the nearest integer? 832 What is the third root of 2778718 to the nearest integer? 141 What is the cube root of 1100768
{ "pile_set_name": "DM Mathematics" }
83) assuming w is positive. w**(-64942/919575) Simplify ((v**(-3/5))**(3/29))**(-47)*(v**(-1/3))**(-12/7)*(v*v**2/v*v)**(1/5) assuming v is positive. v**(830/203) Simplify (l*l/l**(1/3)*l**0/l*l*l)**(-35)*(l*l**14/l*l**(-2/21))**(3/4) assuming l is positive. l**(-1741/21) Simplify (s**(-1)/(s/(s*s/((s/(s/(s/(((s**(-4)/s)/s)/s*s))))/s))))**32/(s**(1/4)*s*s*s*s**(2/21)*s*s*s*(s**(2/3))**42) assuming s is positive. s**(-19013/84) Simplify ((t/t**(3/8))/t**(-4))**(-15/7)/((t**0)**(4/13))**(2/13) assuming t is positive. t**(-555/56) Simplify (((l*l/(l**(23/5)/l))/l**(-31))/(l**(-6/7)/((((l*(l/(l**27*l))/l)/l)/l)/l)))**(-3/35) assuming l is positive. l**(-27/1225) Simplify ((o/(o**(1/4)/o))/o)**(-7/6)*(o/((o/o**(-1/6))/o))/(o*o**4)*(o**0)**(-16)*((o*(o*o**(-1)*o*o)/o*o*o*o)/o)**(-1/7) assuming o is positive. o**(-943/168) Simplify ((j/(j*j**(2/35)*j))**(-1/7)*j**(1/10)/(j**(-27)/j))**(-37/5) assuming j is positive. j**(-512191/2450) Simplify o**(2/185)*o*o**(3/8)*o**(-21)/o**(-17) assuming o is positive. o**(-3869/1480) Simplify (((h/h**(-3/5)*h)/(h/(h**(-6)*h)))/(h**(-1/3)/h)**(-3/13))/((h**(-7)*h)/(h/(h**(4/3)/h)*h)*(h**1/h)**19) assuming h is positive. h**(772/195) Simplify ((t/t**43*t/((t*t**(11/5))/t)*t)**(-32))**(3/10) assuming t is positive. t**(10128/25) Simplify (q**4/((q*q/(q*q*q**(-1)*q))/q))/(q*q**(-2/5)*q*q*(q/(q*q**(-3)))/q*q)*(q**(-2/3)/q*q*q*q/((q/(q/(q/(q/(q**0*q)))*q))/q))**26 assuming q is positive. q**(901/15) Simplify m*m**7*m/(m**(-2/7)/m)*((m**0/m)/m)**21*((m**(-2/3)/m)/m)**34*(m*(m**(-1)*m)/m)**(-21/5) assuming m is positive. m**(-2570/21) Simplify ((y/(y/(y/y**(-2/7))))/y)**5*((y**1*y)/y*y*y)/y**(-3/4)*(y**1*y)**(-3)/(y**(-2/11)/y**(2/11)) assuming y is positive. y**(-141/308) Simplify ((v**(-7/2)/v*v/(v**22/v))/(v*v**(-5/3))**(-12))**(3/2) assuming v is positive. v**(-195/4) Simplify (i**(2/11)*((i*i**5/i)/i)/i*i*(i**(1/6)/i*i)/(i/(i*i*i*i**(2/15))))/(((i*i**(-5))/i**(1/5))/(i**(-5)*i**(-3/4))) assuming i is positive. i**(217/44) Simplify ((d**(-4)/(d*(d/(d**(-12)/d*d*d))/d))/((d/d**(-3/8))/d*d**(-31)))**(-1/27) assuming d is positive. d**(-13/24) Simplify v**3/v**(2/7)*v**(-7)/(v*v**(-1)*v*v)*((v*v/v**(-5)*v)/(v*v**3*v))**23 assuming v is positive. v**(439/7) Simplify (w**(-4/21)/(w**(-44)*w))/(w**1)**(20/3) assuming w is positive. w**(253/7) Simplify ((b*b**(-4))**9)**(-2/37)/(b**(-2/5)*((b*b**(8/3))/b)/b*(b**(-1/4))**(2/37)) assuming b is positive. b**(229/1110) Simplify ((s*(s/s**(1/6))/s)**(-4/27)*s*s*s**(-18)*s**23)**(-16) assuming s is positive. s**(-8912/81) Simplify (r/(((r/(r/(r**(2/41)/r)))/r*r)/r*r)*r**0*r/(r**(-21)*r*r)*r/r**8)**8 assuming r is positive. r**(4904/41) Simplify u**0*u**(-1)/u*u*u*(u**(1/3))**(9/5)*((u/u**(-1/3))**(-11))**13 assuming u is positive. u**(-2851/15) Simplify (g*g**(2/3)*g**0*g**(1/6)/((((g/(g/(((g*g**(-3)/g)/g)/g))*g)/g*g)/g*g)/g))/((g/g**(-3))/(g/(g*g/g**(-1/6))))**(-2/19) assuming g is positive. g**(841/114) Simplify (((p/p**(2/15))/(p*p/p**(-2/11)))/(p**(2/5)/(p**0/p)))/(p/p**(-5)*p*((p**(-3)*p)/p)/p)**50 assuming p is positive. p**(-25198/165) Simplify ((((a**(-2/3)/a)/a)/a)**(34/5)*(a/a**(-6))/a*a**(-2/7))/(((a**(1/5)*a)/a)/a*a**(1/2))**(-12) assuming a is positive. a**(-2396/105) Simplify (d/d**(1/8)*d*d**(-1)*d*(d*d**5)/d**2)/(d/(d*d/d**(-8))*d**(-3/10)*d**(-3)*d/(d/d**(-2/9))) assuming d is positive. d**(6623/360) Simplify ((((i**(2/3)*i)/i*i)/i)/(i**(-1)*i))/(i**(-1))**(-50)*((i**(-1/2)/i*i)/((i/(i**(-1/2)/i))/i*i))**(-1/10) assuming i is positive. i**(-1471/30) Simplify (((w*w/((w**(-13)/w)/w)*w)/w)**(2/17)*(w**(-2/57)*w)/(w*w*w/((w/(w/w**34))/w)))**(2/3) assuming w is positive. w**(3758/171) Simplify (p*p**(2/7)/p)**31/(p**(2/7)/((p*p**(2/3)/p*p)/p*p))*(p*p*p**(2/5)*p)**0/(p*p**(-2/7)*p*p**(-8)) assuming p is positive. p**(347/21) Simplify (((i**(1/13)/(i*i*i**(-1/7)/i))**(-43))**(-9))**9 assuming i is positive. i**(-247293/91) Simplify (l*l*l**(2/15)*l)/((l/(l*l**(-9))*l)/l)*(l**(-11/5)*l)**35 assuming l is positive. l**(-718/15) Simplify (s/s**(-1/4)*(s/(s*(s**(-2/13)*s)/s))/s)**(-45)*((s*s**(1/4)*s)/s**3)/(((s*s/s**(-2/3))/s*s)/(s/((s*s**6)/s)*s)) assuming s is positive. s**(-998/39) Simplify ((t/t**(-2/3)*t)/t**2)**30*((t/t**1*t*t)**(-7))**(-1/12) assuming t is positive. t**(127/6) Simplify ((j/(j/(j/j**(-1/2)))*j**(-2/5))/(j**(-2/7))**47)/((j*j**(1/4)*j)/(j**(-1/4)*j)*(j**(-2/9)/j)**(2/5)) assuming j is positive. j**(4258/315) Simplify ((((k/(k*k**(2/7)*k))/k*k)/k)/(k/(k/k**(18/11)))*(k**(2/73)/k)/((k/k**7)/k))**(-5/6) assuming k is positive. k**(-29585/16863) Simplify ((((q/(q**0*q))/q)/q)**24/(q**(-1/3))**(1/2))/((q**(2/3)*q)**(10/7))**(2/9) assuming q is positive. q**(-18281/378) Simplify (((k/(k**(1/5)/k))/k*(k/(k*k**(-1)))/k*k)/(k/(k*k/k**(-1)))**(2/75))/((k*k/k**(3/7)*k*k**2)/((k**(-2/13)*k)/k**(1/5))) assuming k is positive. k**(-14141/6825) Simplify (l**(-3)*l*l*l*l*l*l**(-6)*l*l)/(l/l**0)**(-1/10)*(l**(1/11)/(l*l**(-2/7)*l))/(l**(-2)*((l*l**(-5/6))/l)/l) assuming l is positive. l**(358/1155) Simplify ((h*h/h**(-3))/h)/h**(3/5)*(h*h**(2/5)*h)**(-11)*((h*h*h*h**(1/5))/(h/h**(-3)))**16 assuming h is positive. h**(-179/5) Simplify ((m/(m*m*m**(-2/3)*m))**(-2/67)*(m/m**(-2/5)*m)/(((m**(-4/7)*m)/m)/m))/((m**(1/4)*m)**(-3/17)*(m**(2/7))**(-2/59)) assuming m is positive. m**(119713963/28224420) Simplify (p**(-2/9))**(-2/71)*(p/p**(-2/9))**(-27/7)*((p*p/((p**(1/17)/p)/p))/(p/((p/p**(-4))/p)))**27 assuming p is positive. p**(13892975/76041) Simplify ((g*g**10*g**(-2/15))/(g**6*g**10))**(-22/5) assuming g is positive. g**(1694/75) Simplify ((s**(-1/5)*s**9/s)/(((s/s**(-2))/s)/s)**(-50))**45 assuming s is positive. s**2601 Simplify ((i/(i*(i*i/i**(5/4))/i))**(-16/5)/((i/(i*i/i**(-16)*i))/i**(-24)))**(-1/17) assuming i is positive. i**(2/5) Simplify (k**(7/3)/k**(-2/35))/(k/(k*k**17))**(-1/8) assuming k is positive. k**(223/840) Simplify ((f**27*f)/(f/(f/(f*f**(-2/31))))*f**12/f*f**12)**31 assuming f is positive. f**1552 Simplify (b**(-5)/(b*b/b**(2/5)*b*b)*b**0*b*b*b**0*b)/((b**2)**(-6))**(-6) assuming b is positive. b**(-388/5) Simplify (n/(n*n/(n**(11/3)/n)*n)*n**(2/7)*(n**11)**(-41))**23 assuming n is positive. n**(-217373/21) Simplify (((i**(1/2)*i)/i)**41)**(1/21)/((((i*i/((i/(i*i*(i/i**1)/i))/i))/i)/i**5)/(i/(i/(i/i**(-1/2)*i)*i))**(1/11)) assuming i is positive. i**(950/231) Simplify (y**34/y*y**(10/3))/(y**(-42)/(y*y**(-2/51)*y)) assuming y is positive. y**(1365/17) Simplify (o**(-30)/o)**(2/13)*(o*o/(o**(-7/3)*o))/(o**(-5)/o*o*o) assuming o is positive. o**(100/39) Simplify ((u**(-1)/u**(7/4))/((u*u*((u**(-2)*u)/u*u)/u*u)/(u/u**(-1/27)*u*u)))**31 assuming u is positive. u**(-2387/108) Simplify ((x*x*x**(-1))**(-15/8)/(x/(x*x*x/(x*x/(x*x/(x/(x*x**13*x))*x))*x)*x*x**(3/5)))**(3/7) assuming x is positive. x**(249/40) Simplify ((b/b**(-2/15)*b**(-8)*b)/((b**(-3)/b)/b*b**(-20)*b*b*b))**(-28) assuming b is positive. b**(-6776/15) Simplify (((a**2/a**7)**(2/39))**(9/4))**47 assuming a is positive. a**(-705/26) Simplify ((x/x**(-2/23))/x**(-38))/(x/(x/((x**(1/41)*x)/x)))**16 assuming x is positive. x**(36491/943) Simplify (s**(-8)*s**(-4))**(2/75)*(s/((s**(-2/3)/s)/s)*s)**(-5/2)/(s**(-2)/(s**(1/5)*s)) assuming s is positive. s**(-659/75) Simplify (a/a**1)**(3/2)/(a*a/(a/a**(-2/9))*a*a/(a/((((a/((a**(2/5)*a)/a))/a)/a)/a*a))*a)*(a**3/a**(1/4))**(2/19) assuming a is positive. a**(-1861/1710) Simplify (x**(-10)/(x*x**(2/3)))**(-16)*(x**(-4/5)/(x*x**(-1)))/(x/((x**(1/4)/x)/x))**46 assuming x is positive. x**(1781/30) Simplify ((a*a*a**(-1/2))**(-2/3))**(-10)/((a*a/a**(-1)*a/(a**(-6)*a))/(a**(-2/3)/a**(-1/2))) assuming a is positive. a**(5/6) Simplify ((f**0)**(-1/9)*(f*f**(3/2)*f*f)/f*f**0)/(f**(-2)*f*f/f**(-1)*f*f)**(-41) assuming f is positive. f**(253/2) Simplify ((a**(-2))**10)**(8/9)/(a**(-4)*a/a**2*a**(-3/8)/(a*a/(a/a**2))) assuming a is positive. a**(-677/72) Simplify (l**(8/3)*l**(-2/15)/l*l)/((l*l**(-18/7))/l)**(13/7) assuming l is positive. l**(5372/735) Simplify (((y*y*y**(-4))/y**1*(y*(y/(y/y**(2/7))*y)/y*y*y)**(5/6))**(-37))**(-10) assuming y is positive. y**(-2035/21) Simplify (b**(-6/5)/(b**(2/15)/b)*(b**(5/3)*b)/b**0)**(-32/5) assuming b is positive. b**(-224/15) Simplify l**(-3)/(l/(l**5*l))*l**(1/9)*l*l*l**(-2/15)*(((l/l**(-4))/l)/(l*(l/(((l*(l*l**(-3/2
{ "pile_set_name": "DM Mathematics" }
Let u be b/12 + 4/24. What is the third derivative of 2*a**4 + 2*a**u + 3*a**4 - 3*a**4 wrt a? 48*a Find the second derivative of 10*s**2 + 2*s + 3*s**2 + 3*s + 3*s wrt s. 26 Let w be 0*(-1)/2 + -2. Let n = w + 3. Find the first derivative of -x**3 + 2 - 2 - n wrt x. -3*x**2 Let r(l) be the first derivative of 9*l**4/4 + 9*l + 9. What is the derivative of r(s) wrt s? 27*s**2 Let t(p) be the third derivative of -p**8/56 - 31*p**5/60 + 24*p**2. What is the third derivative of t(l) wrt l? -360*l**2 Let c(z) be the first derivative of 2 - 2*z + 5/2*z**2. Differentiate c(k) with respect to k. 5 Let p(l) be the second derivative of -l**9/1008 + l**5/60 + l**3/3 - 2*l. Let u(y) be the second derivative of p(y). Find the second derivative of u(x) wrt x. -60*x**3 Let z(t) be the second derivative of t**10/560 - t**6/36 + 2*t**3/3 - 8*t. Let v(d) be the second derivative of z(d). Find the third derivative of v(k) wrt k. 1080*k**3 Let s(k) = -31*k - 5. Let u(z) = 6*z + 1. Let g(x) = 2*s(x) + 11*u(x). Let h be g(1). What is the third derivative of 3*o**2 - 3*o**5 - 3*o**5 + h*o**5 wrt o? -60*o**2 Let m(w) = 64*w**3 + 6*w**2 - 9*w - 22. Let x(g) = 64*g**3 + 5*g**2 - 8*g - 21. Let s(a) = 5*m(a) - 6*x(a). What is the second derivative of s(b) wrt b? -384*b Let v = -2 - -5. Suppose 3*z - z = -j + 9, -v*z - 3*j + 15 = 0. Find the first derivative of h**4 - 4*h**4 + 0 - 2 + 0*h**z wrt h. -12*h**3 Let q be 4 + 5/(15/(-6)). Suppose 0 = n - 4 + q. Find the third derivative of -o**2 + 0*o**n - o**2 - 2*o**4 + 5*o**2 wrt o. -48*o Let t(f) = 3*f**2 + 4*f + 3. Let h be t(-2). What is the second derivative of 3*a**5 - h + 5 - a + 2 wrt a? 60*a**3 Let v = -7 - -10. Let q(k) = -k + 6. Let r be q(v). What is the first derivative of 2 + y**3 + y**3 - r wrt y? 6*y**2 What is the third derivative of 7*k**2 - 14*k**2 - 2 + 4*k**6 + 2 wrt k? 480*k**3 Let j(w) be the first derivative of w**6/2 - w**2/2 - 7. What is the second derivative of j(t) wrt t? 60*t**3 Let u(r) be the first derivative of r**6/15 - 3*r**2/2 + 2*r - 4. Let y(s) be the first derivative of u(s). Differentiate y(g) with respect to g. 8*g**3 Let t(j) = -j**3 - 6*j**2 - 5*j + 2. Let a be t(-5). Find the third derivative of 4*w**5 - w**2 - 3*w**5 + a*w**2 wrt w. 60*w**2 Let j(u) = -9*u**4 - 6*u**3 - 5*u**2 + 6. Let a(v) = -8*v**4 - 5*v**3 - 6*v**2 + 5. Let f(k) = -6*a(k) + 5*j(k). What is the third derivative of f(g) wrt g? 72*g Find the third derivative of -2*w**2 + 8*w**4 + 0*w**2 + 0*w**2 - 6*w**4 wrt w. 48*w Let v(n) = -n**3 + 1. Let g(h) = -3*h**3 - 6. Let l(y) = g(y) + 2*v(y). Differentiate l(p) with respect to p. -15*p**2 Let n = -10 - -12. What is the second derivative of 2 - n - 4*m + 2*m**4 + 0 wrt m? 24*m**2 Let d(o) = -13*o + 15. Let l(f) = -64*f + 74. Let h(n) = 14*d(n) - 3*l(n). What is the derivative of h(m) wrt m? 10 Let h(n) = n**2 - n - 1. Let y be h(3). Suppose -f - 4*p + 5 = 0, 0 = -4*f - 0*p - y*p + 9. Find the first derivative of 3*l + 0 + f + 0*l - 4*l wrt l. -1 Let i(v) be the first derivative of -v**7/105 + v**5/20 + 8*v**3/3 - 1. Let k(n) be the third derivative of i(n). Find the second derivative of k(u) wrt u. -48*u Let c(t) be the third derivative of -t**5/60 + t**4/6 - t**2. What is the second derivative of c(x) wrt x? -2 Let c(b) = 2*b - 6. Let q be c(4). Let s be 9/2 + (-2)/4. Find the third derivative of -3*o**4 + 0*o**4 + o**s + o**q wrt o. -48*o Let p = 0 + -6. Let k be -2*(-6)/(-4) - p. Differentiate -4 + u + k + 2 - 3 with respect to u. 1 Let o(k) be the first derivative of 3*k**5/5 + 3*k**4 - 5*k**2/2 + 3*k + 42. What is the second derivative of o(v) wrt v? 36*v**2 + 72*v Let s(z) be the second derivative of -z**7/6 + z**4/6 + 7*z. Find the third derivative of s(k) wrt k. -420*k**2 Let d(m) be the second derivative of -9*m**5/20 + 3*m**2 + 3*m. What is the derivative of d(j) wrt j? -27*j**2 Let f(k) be the first derivative of -k**4/2 + 8*k**3/3 - 41. Find the third derivative of f(c) wrt c. -12 Let t(f) = -3*f. Let q be t(2). Let c be q*1/(2*-1). What is the first derivative of 0*u**3 + u**3 - c + 2 wrt u? 3*u**2 Suppose -4*d + 8 = 4*r - 36, -4*r = 2*d - 12. Suppose 4*p = 6*a - 2*a, 5*p - d = a. What is the derivative of 0 - a + 2 - k wrt k? -1 Let f(j) = j**3 - j + 7. Let w be f(0). Find the second derivative of 8*x**5 - 8*x**5 - w*x**5 + 7*x wrt x. -140*x**3 Let a(v) = -38*v**5 - 3*v**3 - 3*v**2 + 25*v + 3. Let k(i) = i**5 - i**3 - i**2 - i + 1. Let g(n) = a(n) - 3*k(n). What is the second derivative of g(r) wrt r? -820*r**3 Let k(l) = l**2 - l + 7. Let h be k(0). Let t = h + -3. Find the second derivative of d**4 - 4*d**4 + 0*d**t + d + d wrt d. -36*d**2 Find the first derivative of -9 - 403*p + 403*p - 5*p**2 wrt p. -10*p Let o(z) = 7*z**4 + 5*z**3 - 46*z. Let a(i) = -4*i**4 - 2*i**3 + 23*i. Let b(s) = 5*a(s) + 2*o(s). Find the second derivative of b(d) wrt d. -72*d**2 Let k = 11 - 7. Let z = -15 - -17. Find the third derivative of 2*x**k - 6*x**z + 6*x**2 - 2*x**2 wrt x. 48*x Let s(m) = 4*m**3 + 5. Let r(u) = u**3 - 1. Let l(o) = -2*r(o) + s(o). Differentiate l(g) wrt g. 6*g**2 Let g(i) = -i + 2. Let b be g(-2). Find the second derivative of f - f**3 - 3*f**b + 2*f**3 - f**3 wrt f. -36*f**2 Let o(l) be the second derivative of 17*l**6/30 + 19*l**2/2 + 30*l. What is the first derivative of o(h) wrt h? 68*h**3 Let x(h) = 6*h**3 + 18*h**2 + 4*h - 4. Let r(y) = 4*y**3 + 18*y**2 + 5*y - 5. Let q(d) = -4*r(d) + 5*x(d). Find the third derivative of q(o) wrt o. 84 Let v = 14 - 9. What is the second derivative of -8*g + g**v - 7*g**5 + 6*g - g wrt g? -120*g**3 What is the third derivative of -5*c**3 + 7*c**3 - c**3 + 4*c**3 - 6*c**2 wrt c? 30 Let b(x) be the third derivative of -13*x**8/336 + 3*x**5/20 + 19*x**2. Find the third derivative of b(m) wrt m. -780*m**2 Let m(l) = l**2 - 8*l - 7. Let n be m(9). Let x be ((2 - 2) + 2)*1. What is the second derivative of -j + 13*j**2 + x*j**4 - 13*j**n + 2*j wrt j? 24*j**2 Let m(f) be the first derivative of f**7/210 - f**3/2 - f**2/2 + 3. Let w(v) be the second derivative of m(v). Find the first derivative of w(u) wrt u. 4*u**3 Let m(u) be the third derivative of 0*u**3 + 1/168*u**8 - 1/20*u**5 + 0*u**7 - u**2 + 0*u + 0 + 0*u**4 + 0*u**6. What is the third derivative of m(f) wrt f? 120*f**2 Let g(t) be the first derivative of -23*t**4/4 - 3*t**3 + 10. What is the third derivative of g(p) wrt p? -138 Let q(a) be the second derivative of -a**6/240 - 7*a**5/120 - 7*a**4/12 + 4*a. Let r(s) be the third derivative of q(s). Differentiate r(m) with respect to m. -3 Let u(i) be the first derivative of 0*i**2 - 2/3*i**3 + 0*i**4 + 0*i - 2 - 3/5*i**5. Find the third derivative of u(q) wrt q. -72*q Let p = -40 - -66. Suppose -3*j = -4*x + 21, -x = -6*x + 4*j + p. What is the second derivative of x*g + g - 6*g + 2*g**4 wrt g? 24*g**2 Let c(r) be the first derivative of -4*r**2 - 14*r - 6. What is the first derivative of c(v) wrt v? -8 Let j(d) be the third derivative of 1/6*d**4 + 4*d**2 + 0*d + 0 - 5/6*d**3. What is the derivative of j(h) wrt h? 4 Let d(n) be the third derivative of 61*n**8/336 + 11*n**5/12 - 27*n**2. Find the third derivative of d(m) wrt m. 3660*m**2 Let l(b) be the second derivative of 13*b**7/21 + 10*b**3/3 + 15*b. What is the second derivative of l(g) wrt g? 520*g**3 Let b(u) be the third derivative of -u**5/12 + u**3/2 - 7*u**2. Differentiate b(v) wrt v. -10*v Let z(k) = -3*k + 1. Let m be z(-1). Suppose -5*y = -13 + 3. What is the derivative of 1 + 1 - y*n**2 - m wrt n? -4*n Let b(f) = 5*f**2 - 4*f + 4. Let v(h) = -6*h**2 + 4*h - 3. Let j(i) = -3*b(i) - 4*v(i). Find the second derivative of j(p) wrt p. 18 What is the second derivative of 7*i + 45*i**5 - i - 12*i + 4*i + 3 wrt i? 900*i**3 Let l(o) be the second derivative of 37*o**6/30 + 2*o**4/3 + 4*o. Find the third derivative of l(f) wrt f. 888*f Let z(n) = -4*n**3 + n**3 - 9*n**2 + 10*n**2 - n. Let p(h) = h**3 + h. Let s(q) = -4*p(q) - 4*z(q). What is the third derivative of s(c) wrt c? 48 Suppose 2*b = 6 - 2. What is the second derivative of v**2 + v - 6*v**2 + 3*v**b + 3*v**2 wrt v? 2 Let j be ((-72)/20)/((-6)/20). Suppose 3*p - p = -z + 8, -4*p - 4*z + j = 0. Find the second derivative of p*k**2 + k**2 - k - k - 3*k**2 wrt k. 6 Let y(d) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
v**3 + 6*v**3 + 2*v**3 + 28*v**3 - 2*v + 123*v**2 - 123*v**2. 33*v**3 - 2*v Expand (-2*v**2 + 0*v + 0*v)*(-2*v**3 + v**2 - v**2 - 2 - v**3 + 2 - 2*v**3 + 8*v**3 - v**3 + (0*v + 2*v + 0*v)*(0*v**2 + 3*v**2 - 2*v**2)). -8*v**5 Expand 0*i**2 + 0*i**2 - i**2 + (-i**2 - 3*i**2 + 6*i**2)*(1 - 2 + 0) + (-2 - 4*i + 2)*(3*i - 6*i - 13*i). 61*i**2 Expand -j**5 - 6*j**5 + 7*j**3 + 13*j**5 + (3 + 3 - 4)*(j**5 - 3*j**5 + j**5). 4*j**5 + 7*j**3 Expand (4 - 4 - 8*w)*(-w**4 + w**4 - 4*w**4) + (3*w - w - 3*w)*(0*w**4 + 6*w**4 - 4*w**4)*(2 - 2 + 2). 28*w**5 Expand 2*j**2 - 6*j**2 + 2*j**2 + (0*j - j - j)*(2*j + 4*j - 4*j) - 10*j**2 + 6*j**2 - 69*j**2 - 3*j**2 + 0*j**2 + 6*j**2. -76*j**2 Expand (9 - 9 - 5*n)*(-3*n**3 - 3*n**3 + 2 + 7*n**3 + 6*n**2). -5*n**4 - 30*n**3 - 10*n Expand (2*p**3 - 2*p**4 - 2*p**3)*(108 - 253 - 276 - 68). 978*p**4 Expand 2*z**5 + 158*z - 158*z - z**5 + 4*z**5 - 2*z**5 + (12*z - 12*z + 5*z**3)*(-1 - z**2 + 1) + 4*z**5 - 3*z**5 + 0*z**5 + (1 - 1 + 1)*(-2 - 2*z**5 + 2). -3*z**5 Expand 18*h**2 + 398 - 398 - 6*h**5 + (0*h**4 + 2*h**5 + 0*h**4)*(-1 + 1 + 1) + 0*h**5 - h**5 + 0*h**5 + 2*h**5 + h**5 - h**5. -3*h**5 + 18*h**2 Expand -3*w**4 - w**4 + 6*w**4 + (17*w**3 + 51*w**3 - 10*w**3)*(-3 - 2*w + 3)*(2 - 2 + 2). -230*w**4 Expand -541*x**2 + 6*x + 22*x - 30*x + 4*x + 2*x**2 - 4*x + (x - 2 + 2)*(-3 + 3 - x). -540*x**2 - 2*x Expand (-3 + 3 - j)*(-25*j**2 + 365 - 187 - 181). 25*j**3 + 3*j Expand -11*z**2 + 4*z - 4*z - 2*z**4 + (3*z - 6*z + 2*z)*(0*z**3 - 2*z**3 + 3*z**3) - 111*z**4 + 51*z**4 - 45*z**4. -108*z**4 - 11*z**2 Expand (k - k - k)*(-5*k + 318*k + 13*k + 57*k). -383*k**2 Expand (-2*f + 2*f**2 + 2*f)*(-f**2 - 3*f**2 + 3*f**2) + 2*f**2 - 4*f**4 - 2*f**2 + f**4 + 0*f**3 - 8*f**3 + f**4. -4*f**4 - 8*f**3 Expand 3*q**5 - 2*q**3 - 2*q**5 + 4*q**3 + (-3 + 4 + 0)*(8*q**3 - 5*q**3 + 4*q**3)*(0*q**2 + 6*q**2 - 3*q**2). 22*q**5 + 2*q**3 Expand 0*w**2 - 4*w**2 + 3*w**2 + 0 + 0 + w**2 + (-2*w + 2 - 2)*(-1 + 1 - 2*w) - 3*w**2 + 0*w**2 + 8*w**2 + (-w + 3*w + 0*w)*(2*w - 2*w + w) + w - w + 17*w**2. 28*w**2 Expand 441*s - 441*s - 188*s**4 + (-2*s**2 + 3*s**2 - 2*s**2)*(-3*s**2 + s**2 + 0*s**2). -186*s**4 Expand (2*h**4 + 3*h**4 - 2*h**4)*(3054 + 15*h - 3054). 45*h**5 Expand (2 - 2 + 4*h)*(h - 2*h + 4*h) + 2*h**2 - 2*h**2 + 2*h**2 + (-h + h - 2*h)*(3*h + 0*h + 6*h) + h**2 + h**2 - h**2. -3*h**2 Expand (-43 - 9 + 2)*(-s - 2*s + 2*s)*(2*s**2 + 2*s**2 - 2*s**2). 100*s**3 Expand (-3*u + 2*u - 3*u)*(2*u**4 - 3*u**4 + 2*u**4) + (-5 - 2*u**2 + 5)*(2*u**3 - 4*u**3 - 3*u**3) + 2*u**5 - u**5 + 0*u**5 - 4*u**5 + u**5 - u**5. 3*u**5 Expand (-4*b**2 + 0*b**2 + 3*b**2)*(-9*b - 36 + 36) + b**3 - 2*b**3 - b**3 + (5 + 2 + 1)*(b**3 + 0*b**3 + b**3). 23*b**3 Expand (52 - 115 + 41)*(0 + 0 + 2*n**2)*(0*n**2 - 4*n**2 + n**2). 132*n**4 Expand (13 - 13 - 2*q)*(-1 - 4 - 2) + 5*q - 3*q - 10 + 8. 16*q - 2 Expand ((-3*s + 3*s - s)*(1 - 1 - 1) + 5 - 3*s - 5)*(14 + 8 + 29*s - 21). -58*s**2 - 2*s Expand 51*o - 49*o - 5 + 0 + (-o + o + 3*o)*(2 + 4 - 5). 5*o - 5 Expand (a**2 + a**2 + 0*a**2)*(-1 - 6 + 5) + (10 - 2 + 0)*(a**2 + 2*a**2 - a**2). 12*a**2 Expand 3*f**4 - 4*f**4 - f**4 + (-2*f + 3*f + 0*f)*(160*f**2 - 160*f**2 + 21*f**3). 19*f**4 Expand (-2*s - 2*s + 5*s)*(-4 - 1 + 2) + 3*s + 2*s + 12*s. 14*s Expand 2*v + 4 + 0 - 3 + (v - 3*v + 3*v)*(0 - 1 - 1) - 4*v + 6*v + 45*v. 47*v + 1 Expand (-2 + 5 - 2)*(0*z + 2479*z**4 - 2*z**3 - 2493*z**4 + 2*z). -14*z**4 - 2*z**3 + 2*z Expand (-z**3 + z**3 - 2*z**3)*(-1461 + 1727 - 1246). 1960*z**3 Expand ((3*n - 14*n + 0*n)*((2*n**2 + 3*n**2 + 3*n**2)*(-2*n - 4 + 4) - n**3 + 4*n**3 - 2*n**3) + (-2*n + 0*n + 3*n)*(-n**3 + n**3 - n**3))*(-n - 3*n + 3*n). -164*n**5 Expand (-5 + 5 - f**3)*(16*f**2 + 4*f**2 + 7*f**2) - 8*f**5 + 2*f**5 + 3*f**5. -30*f**5 Expand (4*f**2 - f**2 - f**2 + (14*f + 0*f - 3*f)*(-3*f + 2*f + 2*f))*(-1 - 1 + 0)*(-f + f + 2*f**2). -52*f**4 Expand (2*u**2 - 3*u**2 + 3*u**2)*(-u + 0 + 0) + (58 + 64 - 24)*(u**3 - u**3 - 2*u**3). -198*u**3 Expand (-72*g**2 + 12*g**2 + 5*g**3 + 38*g**2)*(3*g - 3*g - 2*g**2). -10*g**5 + 44*g**4 Expand (4 + 3*o**3 - 4)*((2*o - 4 + 4)*(-3*o + o + o) - 2 + o**2 + 2). -3*o**5 Expand (0 + 0 - 5*v)*((1 - 1 - 1)*(3 - 1 - 4) + 1 - 4 - 3 - 2 + 5 - 2). 15*v Expand (5 - 1 - 2)*(4*q**4 - 4*q**4 + 2*q**4)*(6 + q - 6) + (-25*q**2 + 25*q**2 + 4*q**4)*(-5*q + 4*q + 2*q). 8*q**5 Expand (0 + 3 - 4)*(-5*f**2 + 2*f**2 + f**2) + 1 - 1 - 3*f**2 + (4*f**2 - 5*f**2 + 3*f**2)*(-2 + 2 + 2) + 2*f**2 - 12*f**2 - 13*f**2. -20*f**2 Expand (2 - 2 - 3*m)*(548*m**2 + 4 - 4 - 43*m**2 + 1225*m**2). -5190*m**3 Expand (0*j**4 - 2*j**4 + 0*j**4)*(2*j + 0*j - 3*j) + (-3*j**2 - 2*j**3 + 3*j**2)*(-3*j**2 - 2*j**2 + 4*j**2) + (0 + 0 + j)*(25*j**4 - 50*j**4 - 78*j**4). -99*j**5 Expand 41*q**5 - 233 + 233 + (2*q - 2*q + 2*q**2)*(-q**3 - 2 + 2). 39*q**5 Expand (2*g + 2*g - 6*g)*(-19 - 116 - 79 + 24). 380*g Expand -32*r - 2*r - 3*r + r + 1 - 1 + (r + 3 - 3)*(1 + 1 + 0) - 2*r + 2*r - r + 3 + 2*r - 3. -33*r Expand (-187 - 102 + 6)*(-7 + 3 + 3)*(2 - 1 - 2)*(b + 3*b - 2*b). -566*b Expand -6*c**4 + 2*c**4 + 2*c**4 + (-2*c**2 - 2*c**3 + 2*c**2)*(0*c + 3*c + 7*c) + (-12*c**2 - 4*c**2 + 2*c**2)*(0*c**2 - c**2 - 2*c**2). 20*c**4 Expand (-3*b**2 - b**2 + 2*b**2)*(-1 + 1 - 2*b**2) - 30674 + 128*b**3 + 30674 + b**4. 5*b**4 + 128*b**3 Expand (2 - 1 + 2)*(m - 4*m + 2*m)*(-14 - 36 - 24) - 2*m + 1 - 1. 220*m Expand -2*d**3 - 2*d**2 + 2*d**2 + (d**2 - 2*d**2 + 8*d**2)*(-2*d + 3 - 3) + 78*d**2 - 78*d**2 + 23*d**3. 7*d**3 Expand 0*a**2 + 2*a**2 - a**2 + (-3*a**2 + 5*a**2 + 6*a**2)*(5 - 16 - 4). -119*a**2 Expand (-3*q + 0*q + q + (0 + 3 - 4)*(5*q - 1 + 1) - 1 - 3*q + 1)*(-3775 + 3775 + 67*q**3). -670*q**4 Expand (-4 - 1 + 6)*(5*v - 2*v - v)*((1 + 0 - 2)*(2 - 1 + 0) + 46 + 48 - 3). 180*v Expand (-m**4 + 4*m**5 + m**4)*(7 + 14 - 1). 80*m**5 Expand 159*g**5 - 61*g**5 + 228*g**5 + (-3*g - 2*g + 2*g)*(2*g**3 - 2*g**3 - g**4). 329*g**5 Expand (-490 - 69 - 54)*(2*j + 0*j + 0*j). -1226*j Expand (-4 + 1 + 4)*(2*v - v - 2*v) - 4*v - v + 3*v + (5 - 5 + 5*v)*(-3 - 2 + 3). -13*v Expand (t - t**3 - t)*(t + 2 - 2) - 5*t**2 - 2*t**4 + 5*t**2 + t - t - 2*t**4 - 3*t**4 + 12 - 12 + (t + 0 + 0)*(0 + 0 + 4*t**3). -4*t**4 Expand (4*w - 20*w + 2*w**2 - 9*w)*(2*w**2 - w + w + (-w + 0*w + 3*w)*(w + w + 0*w)). 12*w**4 - 150*w**3 Expand (f**3 + f**2 - f**2 + (-f**2 - 4*f**2 + f**2)*(-159*f + 25*f - 139*f))*(5 - 5 + 2*f**2 - 3 + f**2 + 3 + (-2*f + 0*f + f)*(-2*f - 2 + 2)) - f**5 - f + f. 5464*f**5 Expand -s**3 + s**3 - s**3 + (2 + 2*s - 2)*(s**2 - 3*s + 3*s) - 74*s + 74*s + 40*s**3. 41*s**3 Expand (0 - 2 + 5 + (-3 - 2 + 4)*(-4 + 2 + 0) - 5 + 0 + 3)*(-7*x - 29*x - x). -111*x Expand (35 - 35 + 5*y**2 + (0 + 5*y + 0)*(6*y - 10*y - 2*y))*(-3*y + 0*y + 2*y + y + 0*y - 3*y + (y + y + 0*y)*(2 - 3 + 0) + 2*y - y + 0*y - 2 + 2 - y). 125*y**3 Expand (-m**2 - m**2 + m**2)*(-33*m - 5 + 11*m + 19*m). 3*m**3 + 5*m**2 Expand 17*i + 42 - 28*i + 12*i + i - 3*i - i + 2*i + 0*i - 4*i + (-4*i + 2*i + i)*(3 - 2 + 0). -5*i + 42 Expand (-39 + 28 + 34)*(0*b + b - 2*b + 0*b - 4*b + 2*b - b + b - b + (-b + 0 + 0)*(-2 - 3 + 6) + 3*b - 5*b + b + 3*b + 2 - 2 + b + 2 - 2 - 6*b + 3*b + 4*b). -23*b Expand (-5*f + 2*f - 3*f)*((5*f - 3*f + 0*f)*(0 + 0 + 2)*(2*f + 2*f - 3*f) + 2*f**2 + f**2 + 0*f**2). -42*f**3 Expand -216 + 216 - 624*j + (0*j + 4*j - 2*j)*(-3 + 2 + 2) - j + 3*j - j + 0 + j + 0 + 3 + 2*j - 3. -618*j Expand -o**4 - 2*o**5 + o**4 + (-23*o**3 + 6*o**5 + 23*o**3)*(-3 + 10 + 4). 64*o**5 Expand (-2 + 3 + 0)*(-39 - 31 + 70 - 133*h). -133*h Expand (3*k**2 - 4*k**2 + 0*k**2)*(-3 + 8 + 1)*((-k - k + 0*k)*(0*k**2 - k**2 + 2*k**2) - k**2 - 2*k**3 + k**2). 24*k**5 Expand (-8387*x - 305 - x**2 + 8387*x)*(4 + 2 - 5)*(1 - 5 + 3). x**2 + 305 Expand (-2*a + 2*a - 3*a)*(5*a**2 + 0*a**2 - 15*a**2)*(2 - 3 + 3 + 7*a). 210*a**4 + 60*a**3 Expand (4*k**3 + 0*k**3 + 2*k**3)*(2 - 1 + 0)*((-6 - k + 6)*(0 + 1 - 3) - 4*k + k + 2*k - 2*k + 4*k - 4*k). -6*k**4 Expand (-11*w + 3*w**2 + 11*w + (-w - w + w)*(-3*w + 4*w - 2*w))*(-w + 0 - 1 - 1). -4*w**3 - 8*w**2 Expand (2*a**4 - 6*a**4 + 29*a**4)*(0*a - 2*a + 0*a) + (-2*a**3 + 2*a**3 - 2*a**5)*(-4 + 0 + 2). -46*a**5 Expand (a + a + 0*a)*(-4 + 384*a**2 - 401*a**2 + 0). -34*a**3 - 8*a Expand (-4*u**2 + 0*u**2 + 2*u**2)*(10 - 572 + 1) + 4*u**2 + 0*u**2 - 3*u**2. 1123*u**2 Expand (19 + 1 - 36 + 16 +
{ "pile_set_name": "DM Mathematics" }
uppose -16*c + 18*c + 5*s - 57438 = 0, -114786 = -4*c + 5*s. Is c a multiple of 184? True Suppose 13 = 3*c - 50. Let g = 27 - c. Suppose -282 = 3*i - g*i. Is i a multiple of 22? False Suppose -16 = -3*m - 3*p - 46, -4*p - 28 = 2*m. Is m/(-4)*(-4 + 102) a multiple of 8? False Let f(b) = -25*b + 381. Is f(15) a multiple of 5? False Let g(q) = -3*q**3 - 33*q**2 + 6*q. Is 36 a factor of g(-16)? True Let u(b) = 29*b**2 - 60*b + 78. Is 13 a factor of u(14)? False Suppose 3*t + t + 120 = 0. Let d = 55 - t. Suppose -3*k - k - 34 = -a, 5*a - 3*k = d. Is a a multiple of 9? False Suppose r = -21*s + 25*s + 11166, 0 = -5*r - 4*s + 55734. Is r a multiple of 25? True Suppose 5*c - 38*l + 1103 = -39*l, 3*l - 211 = c. Let t = 244 + c. Is 13 a factor of t? False Let r = 48804 - 22148. Does 49 divide r? True Let s = -28527 + 41927. Is s a multiple of 23? False Suppose -3*d + 2*d - 12 = k, 5*d = -3*k - 36. Let h(y) = 3*y + 47. Let x be h(k). Suppose x*q - 80 = 10*q. Does 20 divide q? True Let m(k) = 5*k + 44. Let r be m(-8). Suppose r*l + 0*l + 40 = 0. Let b = l + 15. Is 2 a factor of b? False Suppose 10 = 5*p + 4*n - 12, 2*n + 10 = p. Suppose 0 = 5*c + p - 11. Does 3 divide c/2 - 21/(-14) - -8? False Let y(f) = -11*f + 1242. Is 11 a factor of y(-78)? False Let y(k) = k**3 + 32*k**2 + 48*k + 127. Let f be y(-30). Let r = f + -277. Does 15 divide r? True Suppose -3*d = -154840 + 13615. Is 13 a factor of d? False Suppose 3*p = 30074 + 72433. Is p a multiple of 47? True Let q(v) = v**3 - 7*v**2 + 14*v - 3. Suppose -3*f - 5*m - 8 = 0, 0*f + 5*m = -f - 16. Let p be q(f). Suppose 0 = 2*h - p*h + 702. Does 26 divide h? True Suppose 6*v - 7*v + 3*k = -3492, -3*v + k = -10508. Is v a multiple of 48? True Let l = 11920 - 4864. Is 8 a factor of l? True Let v(h) = -11*h**3 - 5*h**2 - 24*h - 26. Does 24 divide v(-6)? False Suppose -4*r + 165 = -4*f - 3*r, -3*r = 2*f + 79. Let s = 85 + f. Is 3 a factor of 891/s - 2/8*-3? True Let m = 2757 - -3361. Does 14 divide m? True Suppose 4*n = 4*n + 3*n. Let s = 91 - 45. Let a = n + s. Does 4 divide a? False Suppose -691 + 2763 = 8*h. Is 11 a factor of 111/h + 459/7? True Suppose -8*p - 121 = -377. Let f be ((-8)/(-6))/((-6)/135). Let g = p + f. Does 2 divide g? True Suppose 2*o + 6 = 0, 4*k + 5*o - 61 = 4*o. Suppose -193 = k*w - 17*w. Is 50 a factor of w? False Let z(u) = -u**3 - 20*u**2 + 4*u + 67. Let g be z(-20). Let i = 29 + g. Is 5 a factor of i? False Suppose -22 = -t + 4*n, 4*t - 6*t = n + 1. Suppose -10 + 4 = 4*j - t*l, -5*j - 9 = -l. Is 29 a factor of (88 - j) + 0/(-3)? False Suppose 5*a + 5*i - 167266 = 4*i, i = -4*a + 133813. Does 15 divide a? False Let j be (-3 - 2 - (-325)/15)*6. Is (-6204)/(-40) - 10/j a multiple of 29? False Let r be (-7)/(2/(-6) + 0). Suppose 481*a - 478*a = 60. Suppose 0 = -r*z + a*z + 144. Is 48 a factor of z? True Let m = -12063 - -15195. Does 174 divide m? True Suppose -i = 5*q - 29955, -20*i - 251898 + 850380 = -3*q. Is i a multiple of 15? True Let y = -281 - -284. Is (77/(-14) + 15/y)*-574 a multiple of 10? False Let f(l) = 4*l + 6. Let h be f(-2). Is ((-1264)/8)/(4/h) a multiple of 9? False Is 15 a factor of ((-6)/3)/2*16/((-160)/18610)? False Let o be (-17)/2*(9 - -13). Let a = -136 - o. Suppose a*n = 47*n + 1176. Is 42 a factor of n? True Suppose 26*n - 31*n = -60. Let s be 3/(-9) - (-40)/n. Suppose -431 - 334 = -3*f + 5*a, -s*f - 2*a = -765. Is f a multiple of 44? False Suppose -35973 = -3*x + 3*t + 11475, 0 = -x - 4*t + 15836. Is 70 a factor of x? True Let s = -75 + 75. Is (11 + 20)*(0 + s + 3) a multiple of 9? False Suppose -180 = -3*a - 75. Suppose 0 = 34*x - a*x. Suppose 5*y - 3*y = 3*k - 39, x = 2*k - 3*y - 21. Is k a multiple of 13? False Let n = 6 - -166. Let r = n + 76. Does 11 divide r - (-2*1)/(20/10)? False Does 19 divide 2 + 4 + 940464/32 + (-25)/(-10)? False Suppose -4*u = -27*u + 483. Let s(x) = -16 + 6*x + 4*x - x**2 + 15*x. Is 17 a factor of s(u)? True Let w = 5182 + -4766. Is w a multiple of 3? False Suppose 22*h - 1143 = 1871. Let i = 345 - h. Does 28 divide i? False Suppose -3640 + 99599 = 56*g - 809. Is g a multiple of 18? True Suppose -17*f + 42365 = -13*f + 5*s, -s + 42393 = 4*f. Is 200 a factor of f? True Let c = 8219 + 14872. Is c a multiple of 43? True Let a = -628 - -634. Is (7690/8 - 48/(-64)) + a a multiple of 22? True Suppose 492*g - 154000 = 392*g. Is g a multiple of 77? True Suppose 0 = -68*g + 65*g - 3*o + 3171, -2*g + o = -2111. Is g a multiple of 33? True Let n be ((-14)/77)/(2*4/(-88)). Suppose -n*g = 2*g - 1104. Does 23 divide g? True Let s(t) be the second derivative of -4*t**2 + 25*t + 0 + 23/3*t**3. Is s(2) a multiple of 5? False Let t(f) = f**3 + 6*f**2 - 11*f + 2. Suppose -175 = 5*n + 2*n. Let p = -32 - n. Is t(p) a multiple of 10? True Suppose -21162 = -9*c - 2694. Is 36 a factor of c? True Let o = -10449 + 14859. Is o a multiple of 8? False Let a(q) = -133*q - 15. Let x be a(-10). Let k = 13 + 7. Is 26 a factor of x/k - (-3)/(-4)? False Let g(k) = k + 2. Let u be g(0). Suppose -u*s - 46 = 16. Let x = s - -49. Does 10 divide x? False Suppose 3251 = -3*y + 12520 + 14587. Does 112 divide y? True Let x be ((-4)/(-10))/(32/80). Is 11 a factor of 3 - (x + (-2 + -2 - 71))? True Suppose 2*q - 1 - 3 = 0. Suppose -y + i = 0, -2*i + 4 + q = 0. Suppose 3*d - 2*r = 122, -y*d = 3*r - r - 106. Is 11 a factor of d? False Suppose a - 125*d - 9240 = -127*d, 0 = -3*d - 24. Is a a multiple of 52? True Suppose -2*h + 25935 = 8*s - 3*s, -8*s + 2*h = -41470. Is 85 a factor of s? True Is 41 a factor of (15/(-35))/((-20)/470680)? True Let y = -10765 + 20778. Is 100 a factor of y? False Suppose 3*o - 10 = 3*r + 2*r, 3*r - 2*o + 7 = 0. Let w(d) = -4*d + 62. Let n be w(13). Suppose b - r = n. Does 3 divide b? False Let v = -11916 + 16236. Is v a multiple of 12? True Suppose -t - 4*i = -5*t - 144, -2*i = -4*t - 154. Let u = t - -83. Is 11 a factor of u? False Let y(a) be the third derivative of a**6/60 + a**5/120 - 7*a**4/24 - 11*a**2. Let g(w) be the second derivative of y(w). Is 6 a factor of g(1)? False Let d = 4599 + -4599. Let a be (1*-1)/((-3)/6). Suppose j + 2*j = -3*y + 54, a*y - j - 45 = d. Is 7 a factor of y? True Let j = 10 + -7. Let t(i) = -4*i + 3*i + 36 - 15 - j*i. Is t(-11) a multiple of 15? False Let f(a) = a. Let t(y) = 3*y - 19. Suppose 0 = 5*x - 8 + 3. Let q(h) = x*f(h) - t(h). Does 9 divide q(5)? True Let q = 14922 - 9563. Does 15 divide q? False Let o(f) = 9*f - 132. Let y be o(15). Is 6 a factor of y*-8*(-6 + 4)? True Is 50 a factor of (-77590)/(-70) - (-24)/(-56)? False Does 42 divide ((-416)/130)/(1/(-525))? True Let w(h) = -2*h**2 - 15*h - 10. Let v be w(-5). Suppose -2*l + 3*z = 2*l - 83, v = 5*z. Suppose 18*c + 345 = l*c. Does 23 divide c? True Let w be 7 + 90/(-12) + 3/(-2). Let i(u) = -u**3 - 5*u**2 - 6*u + 2. Let p be i(w). Is 15/p*(7 + 77/(-35)) a multiple of 12? True Suppose 0 = -6*w - 62 + 62. Let p = w - -258. Is 12 a factor of p? False Let d(g) = -g + 14. Let v be d(-18). Does 2 divide v/80 - 198/(-5)? True Suppose -118*q + 121*q = 3*d + 138552, 3*d = 12. Is q a multiple of 90? False Let u(f) = -f**3 - 49*f**2 - 3*f + 65. Let o be u(-49). Suppose 0 = -d - 2 + o. Does 6 divide d? True Let r = 116 - 114. Suppose -r*m = -14*m + 5808. Is 47 a factor of m? False Let k(u) = -u**2 + 22*u - 39. Let a be k(20). Suppose a = 4*n - 7. Suppose -72 = -n*i + 88. Is i a multiple of 10? True Does 108 divide 3/9 - -55401*7/63? True Suppose -29*h + 26 = 3*m - 28*h, 0 = -3*m - 3*h + 36. Suppose -m*p - 100 = -8*p. Does 3 divide p? False Let j(b) = 168*b**3 + 2*b**2 + b - 4. Let h be j(2). Suppose -5*z + 4*g + h = 0, z + 4*z - 1350 = 2*g. Does 27 divide z? True Suppose 26*b - 24*b = 42848. Is b a multiple of 13? True Suppose -2*z = -f - 847, 348 = 3*z + 4*f - 928. Let q = -634 - z. Is 22 a factor of q/(-12) - ((-13)/(-6) - 2)? True Let v(i) = i**3 + 67*i**2 + 118*i - 990. Is 18 a factor of v(-63)? True Let r(b) = -117*b**3 - 10*b**2 - 3*b + 18. Is 66 a factor of r(-6)? True Let a = 38 + -29. Let b be 0 + -1 + (-2 - (2 - a)). Is b + 8/(-4) + 125 a multiple of 22? False Let u(a) = 175*a**2 - 3*a - 1. Let v(m) = m**3 + 9*m**2 + 10*m + 17. Let l be v(-8). Is u(l) a multiple of 50? False Let a(z) = -z**3 - 22*z**2 - 46*z + 15. Let t be a(-21). Suppose 2*k - t = 3*n,
{ "pile_set_name": "DM Mathematics" }
qrt(175)*1 + sqrt(175))**2 - 2*(sqrt(70)/sqrt(10))**2*1. 80*sqrt(7) + 702 Simplify (-1 + (sqrt(153)*-4 + -3 - sqrt(170)/(3*(sqrt(10) + sqrt(90)))))**2. 290*sqrt(17)/3 + 359729/144 Simplify (-4*3*(sqrt(24)/(sqrt(1200)*1) + 4))**2. 576*sqrt(2)/5 + 57672/25 Simplify 3*(1 + 6*(-2 + sqrt(2057))). -33 + 198*sqrt(17) Simplify (-1 + ((sqrt(76) + (sqrt(76) - sqrt(76)*-5)*-2 + sqrt(76))/sqrt(4))**2 + 1)*5. 9500 Simplify (-5*-4*sqrt(102)/sqrt(6))**2 + (sqrt(153)*2)**2 + (1*sqrt(187) + sqrt(187))/sqrt(11) + 4. 2*sqrt(17) + 7416 Simplify -1 + 4 + 1 + sqrt(245)*-2 + 0. -14*sqrt(5) + 4 Simplify (4*((3*sqrt(102) - sqrt(102)) + sqrt(102) - sqrt(102)))/(1*sqrt(24)/sqrt(4)). 8*sqrt(17) Simplify 1*((sqrt(32) + -1 + sqrt(32))**2 + -2 - (-5 + 2 + sqrt(4)/sqrt(2))). -17*sqrt(2) + 130 Simplify -1*((sqrt(162) + sqrt(162) + (sqrt(162) - (sqrt(162) + 2)) + 4)*-3)**2*-3. 1944*sqrt(2) + 17604 Simplify (-2*sqrt(85)*3 - ((sqrt(85) - (sqrt(85) - 6*2*sqrt(85))) + sqrt(85) + sqrt(85)))/(sqrt(10)/(sqrt(2)*-2*-3)). -120*sqrt(17) Simplify (-1*sqrt(448)*2)**2 + (-5 + sqrt(7) + 2 - -4*(sqrt(28)/sqrt(4))**2). sqrt(7) + 1817 Simplify (-3*sqrt(605)*-1 + 3 + sqrt(605) + sqrt(605) + (sqrt(605) - (sqrt(605)*-2 + sqrt(605))) + -1 + sqrt(605) + 1 + 3)**2. 1056*sqrt(5) + 38756 Simplify (-1 + (sqrt(171)*5*-2)/sqrt(9)*1)**2*-3. -5703 - 60*sqrt(19) Simplify 4*((5*sqrt(1539)*-2 - sqrt(1539))*-6)**2. 26815536 Simplify (4 + (sqrt(99) - sqrt(99)*-1*6) + -2 + 5)**2 + 1. 294*sqrt(11) + 4901 Simplify 3*((sqrt(85) + 1*sqrt(85))*-5 - (sqrt(85) - (sqrt(85) + (sqrt(85) + sqrt(85)*-2)*-5) - sqrt(85)))/(sqrt(320) - sqrt(320)*-1*2). -sqrt(17)/2 Simplify 2*((1*sqrt(152)*4)/((1*sqrt(96))/sqrt(12)) + 0). 8*sqrt(19) Simplify -5*5*(2*sqrt(243) + -1 + (sqrt(243) - (0 + (sqrt(243)*3 - sqrt(243))) - sqrt(243)))**2. -25 Simplify (sqrt(175) - (0 + (sqrt(175)*2)**2)) + -5 + (sqrt(847) + -3 - sqrt(56)/(2*sqrt(8)))**2. -58*sqrt(7) + 303/4 Simplify -3*(3 + sqrt(28)) - (-4 + sqrt(175) + -2). -11*sqrt(7) - 3 Simplify (0 + sqrt(153) - 1*sqrt(68))**2*-4. -68 Simplify 5*6*(((sqrt(80)*2)**2 - (sqrt(5) - (-3 + sqrt(5) + sqrt(20)/sqrt(4))**2)) + -1). -390*sqrt(5) + 10440 Simplify (sqrt(143)*2*-5 + -6*sqrt(143)*1)/((sqrt(11) - ((sqrt(121)*2)/sqrt(11) - sqrt(11))) + sqrt(528)/sqrt(3)). -4*sqrt(13) Simplify (((sqrt(49) + (sqrt(49) - sqrt(784)))/sqrt(7) + sqrt(7) - sqrt(7))**2 - (((sqrt(42)/sqrt(6))**2 - sqrt(7)) + sqrt(7))*-4)*-6. -336 Simplify ((sqrt(1008)*-2 - sqrt(1008)) + -4 + (sqrt(112) + 0 - (-2 + sqrt(7) + 1 + sqrt(7))))**2. 204*sqrt(7) + 8101 Simplify (-3 + 4 + (1 + sqrt(1700))**2 + 2 + (sqrt(1700) + ((sqrt(1700) - (sqrt(1700) + sqrt(1700) + 0 + sqrt(1700) + sqrt(1700))) + -4)**2 - sqrt(1700)))*-3. -51060 - 780*sqrt(17) Simplify ((3*sqrt(204))/sqrt(12) - (1 + 1*sqrt(17)))**2 + ((sqrt(85)/sqrt(45) - (sqrt(68)/sqrt(4) + 2))*-1)**2. -4*sqrt(17)/3 + 725/9 Simplify (sqrt(30)/sqrt(360) + -5 - ((sqrt(3) - (sqrt(3) - (-2 + sqrt(3))*-1))**2 - sqrt(3))*-2)*-5. -45 + 295*sqrt(3)/6 Simplify (((0 + sqrt(1584) + sqrt(1584) + sqrt(1584))*2)**2 - sqrt(1584) - (sqrt(1584) - (1 + sqrt(1584)))**2*6) + (sqrt(1584)*1*-5 - sqrt(1584)) + 1 + 5. -84*sqrt(11) + 57024 Simplify ((-3*sqrt(288) + sqrt(288))/sqrt(8))/(-3*sqrt(147)*2). 2*sqrt(3)/21 Simplify (sqrt(110) + -4*2*sqrt(110) + sqrt(110))/(sqrt(360)*4)*1. -sqrt(11)/4 Simplify 3 + (sqrt(6050) - sqrt(6050)*2) + 5. -55*sqrt(2) + 8 Simplify 6*((sqrt(189)/sqrt(3) + sqrt(63))*2 + -5)*-6. -432*sqrt(7) + 180 Simplify ((sqrt(300) - 6*(-2*sqrt(300) - sqrt(300))) + -1*(sqrt(300) + 1))**2 - (((sqrt(300) - (0 + sqrt(300)))*5 + sqrt(300))**2 + -2). -360*sqrt(3) + 96903 Simplify (4*(sqrt(19) + 2) + -1 - (-2*sqrt(2299) + 0))**2. 364*sqrt(19) + 12893 Simplify (-5*((sqrt(77) - 3*sqrt(77))/sqrt(7))**2 + 0)*-1. 220 Simplify (sqrt(17) + sqrt(17)*-1 + 0)*1 + (-2*(-3*sqrt(68) - sqrt(68)))/sqrt(4). 8*sqrt(17) Simplify -2*sqrt(18) + -5 - 4*(sqrt(2) + sqrt(8))*2. -30*sqrt(2) - 5 Simplify 3 + ((sqrt(85) + (sqrt(85) - sqrt(85)*1) - sqrt(85))*4)/(-6*sqrt(20)/sqrt(4) - sqrt(5)) + 1. 4 Simplify (-4*sqrt(209)*1 - sqrt(209)*2*4)/((-2*sqrt(704) + sqrt(704))*-6). -sqrt(19)/4 Simplify (1*sqrt(76) - sqrt(133)/sqrt(175)) + (0 + sqrt(19)*2)**2 + 0 + -3. 9*sqrt(19)/5 + 73 Simplify (sqrt(70) - -3*(sqrt(70)*-3 - sqrt(70)) - sqrt(70))/((sqrt(40) + -4*sqrt(40))/sqrt(4)). 4*sqrt(7) Simplify (-5*(sqrt(99) - sqrt(99)*-1)*-3)/(-6*-1*sqrt(225)). sqrt(11) Simplify ((-1*(sqrt(2160) - sqrt(2160)*1))/(-1*sqrt(55)/(sqrt(33)/sqrt(3))))**2. 0 Simplify ((2*(sqrt(80) + (sqrt(80) - (sqrt(80) - (1*sqrt(80) - sqrt(80))) - sqrt(80))))/sqrt(10))/(sqrt(32)/(sqrt(32)/(sqrt(16)/sqrt(4)))). 0 Simplify (sqrt(832) + 1 + sqrt(832))**2*1*4 - ((sqrt(208) - (sqrt(208) - (sqrt(208)*-2 + sqrt(208)))**2)*-6 + (4 + sqrt(208) + 1)**2). 112*sqrt(13) + 8091 Simplify 4 + ((sqrt(343) + 0)*3 - (sqrt(343) - -1*sqrt(343)*-1))**2. 3091 Simplify (sqrt(3744) - -1*sqrt(3744))/(sqrt(2) + (sqrt(12)/sqrt(600) - sqrt(2)) + sqrt(2)). 240*sqrt(13)/11 Simplify 1 + -2 + 4 + (4*sqrt(304))**2 + (sqrt(304)*-4)**2 + -2. 9729 Simplify (sqrt(1029) + -1*2*sqrt(1029))/(2*sqrt(252) + sqrt(252) + (sqrt(7) - ((sqrt(847) - -2*sqrt(847)) + sqrt(847)))). 7*sqrt(3)/25 Simplify (sqrt(650) - (sqrt(650)*2 - sqrt(650))*5)/(2*sqrt(288)). -5*sqrt(13)/6 Simplify -1 + (((sqrt(187) + -1*sqrt(187) - sqrt(187)) + sqrt(187))*-2)/(sqrt(275) + sqrt(275)*4). -1 Simplify sqrt(17) + 2*sqrt(68) + (sqrt(85)/sqrt(5) + -1)**2 + sqrt(17) + ((6*(sqrt(102)/sqrt(3) - sqrt(34)))/(sqrt(12)/(sqrt(6)*1)))**2. 4*sqrt(17) + 18 Simplify 2*(sqrt(147) + -1*sqrt(147) + sqrt(147)) + -4 + (sqrt(147) + -1 + -2 + sqrt(147) + -2)**2. -126*sqrt(3) + 609 Simplify (-5*(sqrt(84)*2 - sqrt(84))*-5)/(-3*sqrt(12)*-2*-1). -25*sqrt(7)/6 Simplify sqrt(8)/sqrt(16) + 2 + (sqrt(2) - (-2*sqrt(98))**2) + (sqrt(8)/sqrt(4)*-2)**2. -382 + 3*sqrt(2)/2 Simplify (1*sqrt(980))/(sqrt(4) + sqrt(40)/sqrt(250) - sqrt(4)). 35*sqrt(5) Simplify (sqrt(18)/sqrt(3)*-6*3)/((sqrt(54)*-2)/sqrt(3)). 3*sqrt(3) Simplify (-2*sqrt(384)*1)/sqrt(8) + 3 + 1. -8*sqrt(3) + 4 Simplify (6*(sqrt(45) + sqrt(2880)))/(sqrt(72)/sqrt(648)). 486*sqrt(5) Simplify (-2*sqrt(5324) + (sqrt(44) - -4*sqrt(704)))/(2*sqrt(44)/(sqrt(11)*-1)). 5*sqrt(11)/2 Simplify 0 + -3*sqrt(162)*6 + sqrt(162)*1*2. -144*sqrt(2) Simplify -3 + -2*(-1*-1*sqrt(14))/(sqrt(21)/sqrt(12)). -4*sqrt(2) - 3 Simplify (5*(sqrt(931) + -1 + -5))**2*5. -10500*sqrt(19) + 120875 Simplify (sqrt(17) + sqrt(153) + sqrt(17) + 1)**2 + -5 - (sqrt(17)*-2 + -3 - (sqrt(17) + 0 + sqrt(153))**2). 12*sqrt(17) + 696 Simplify ((1 + 1 + sqrt(3) + sqrt(3))**2 - (-5 + -1 + sqrt(3)))*-1 - -6*(1*sqrt(36)/(sqrt(12)*2))**2. -35/2 - 7*sqrt(3) Simplify ((sqrt(136)*-4*-1)/(sqrt(288) + 3*sqrt(288) + sqrt(288)))**2. 68/225 Simplify sqrt(1216) + (sqrt(1216) + -2)**2 + 3 + -5 + sqrt(1216) + -3. -16*sqrt(19) + 1215 Simplify (sqrt(540)/(sqrt(12)*-1))**2 + sqrt(320)*2 + -5*(2*sqrt(5) - sqrt(5)). 11*sqrt(5) + 45 Simplify ((sqrt(76) - (5*(-2*sqrt(76) + sqrt(76) + sqrt(76)) + sqrt(76)))*-4)/((sqrt(4) - sqrt(44)/(2*sqrt(11))) + (sqrt(400)*-2 - sqrt(4))). 0 Simplify (sqrt(1664) - -6*(sqrt(1664)*-2 - sqrt(1664)) - sqrt(1664))/(sqrt(8)/sqrt(4)*-1 + (sqrt(2) - ((sqrt(22)*-1)/sqrt(11) - sqrt(2)))). -72*sqrt(13) Simplify (-3*2*1*sqrt(99)*-2*-1*-3)**2. 128304 Simplify -1 + sqrt(136)/((sqrt(64)*1)/sqrt(8) + sqrt(8)) + (sqrt(153)/sqrt(3))/sqrt(3) + sqrt(17) + 1 + 4. 4 + 5*sqrt(17)/2 Simplify ((0 + sqrt(99))**2 - (sqrt(11) + sqrt(44)/(sqrt(36) - sqrt(4)))) + (1 + sqrt(11) + 3 - sqrt(11)) + 3. -3*sqrt(11)/2 + 106 Simplify (sqrt(16)/(sqrt(128)*-2 + sqrt(128)))/((sqrt(48) + sqrt(3072))/sqrt(3) - sqrt(16)). -sqrt(2)/128 Simplify (-4 + sqrt(192) + 1 + (sqrt(75) - (0 + 1*sqrt(75))))**2. -48*sqrt(3) + 201 Simplify ((sqrt(2299) + 2)*-5 + 5*-3*sqrt(2299))**2 + 2. 4400*sqrt(19) + 919702 Simplify -5 + ((3*sqrt(468)*-1)**2 - (sqrt(1300) + 1 + 3)). -10*sqrt(13) + 4203 Simplify ((3*sqrt(1300) - sqrt(1300)) + 3 + (sqrt(1300) - ((-2*sqrt(1300) - sqrt(1300)) + -3)))**2 + 0 + -3. 720*sqrt(13) + 46833 Simplify (((sqrt(196) + sqrt(196)*1)*5)/((sqrt(12)/(sqrt(3)*-1))/sqrt(2)))**2. 9800 Simplify 4*((-4 + sqrt(500))**2*2 + 5). -640*sqrt(5) + 4148 Simplify (sqrt(288) + 3*(-1 + sqrt(288)) - (sqrt(6)/sqrt(3)*-6 + -1))**2. -216*sqrt(2) + 5836 Simplify (0 + (sqrt(104) + 6*(-3*sqrt(104) + sqrt(104) + sqrt(104
{ "pile_set_name": "DM Mathematics" }
50 Round -0.000193148 to 5 dps. -0.00019 What is -1090000 rounded to the nearest one hundred thousand? -1100000 Round -3.432 to the nearest integer. -3 Round -0.00000017035 to six decimal places. 0 What is 80.98 rounded to the nearest ten? 80 What is -432 rounded to the nearest ten? -430 Round -264.86 to zero decimal places. -265 What is 0.002354 rounded to three dps? 0.002 Round -0.00021269 to five decimal places. -0.00021 Round 0.000002527 to seven decimal places. 0.0000025 What is -14.365 rounded to the nearest integer? -14 Round -9998000 to the nearest 1000000. -10000000 Round 4139000 to the nearest one hundred thousand. 4100000 What is -13229800 rounded to the nearest one million? -13000000 Round -0.0001018 to 5 dps. -0.0001 What is 0.0000028876 rounded to seven dps? 0.0000029 What is 3.587 rounded to 2 dps? 3.59 Round 1842 to the nearest ten. 1840 What is -1757000 rounded to the nearest ten thousand? -1760000 What is -0.00016417 rounded to five dps? -0.00016 Round 0.00374 to 4 dps. 0.0037 Round -0.049699 to three dps. -0.05 Round 12692 to the nearest one hundred. 12700 Round 21830 to the nearest 100. 21800 What is -27301.4 rounded to the nearest 1000? -27000 What is -344000 rounded to the nearest 10000? -340000 Round 82830000 to the nearest 1000000. 83000000 Round 10.89 to 0 decimal places. 11 Round -0.03018 to two decimal places. -0.03 Round 4214100 to the nearest one million. 4000000 What is 618.1 rounded to the nearest one thousand? 1000 What is 5244000 rounded to the nearest 1000000? 5000000 Round 20.269 to the nearest 10. 20 What is -16.149 rounded to 1 decimal place? -16.1 What is -221.8 rounded to the nearest 100? -200 What is 0.001193 rounded to 3 dps? 0.001 What is 10.393 rounded to the nearest integer? 10 Round -44300 to the nearest ten thousand. -40000 Round 0.0000374 to four decimal places. 0 What is 0.006794 rounded to 3 dps? 0.007 What is 0.00001271 rounded to 7 dps? 0.0000127 Round 24700.3 to the nearest one thousand. 25000 Round 0.000904 to 4 decimal places. 0.0009 What is -0.0112566 rounded to 3 decimal places? -0.011 Round -0.0007584 to five decimal places. -0.00076 What is -786000 rounded to the nearest one hundred thousand? -800000 What is -13594000 rounded to the nearest 100000? -13600000 What is 20687000 rounded to the nearest one million? 21000000 Round 81000 to the nearest one hundred thousand. 100000 What is 53.448 rounded to the nearest ten? 50 Round -13.4905 to the nearest integer. -13 What is -24430000 rounded to the nearest 1000000? -24000000 Round 0.0028035 to three dps. 0.003 What is -0.000002963 rounded to 6 decimal places? -0.000003 What is -0.000001947 rounded to 7 dps? -0.0000019 What is -0.00784 rounded to 3 dps? -0.008 What is -0.15997 rounded to 2 dps? -0.16 Round 0.000037247 to 7 decimal places. 0.0000372 Round -0.0087323 to 3 decimal places. -0.009 Round -0.06806 to 1 decimal place. -0.1 What is -2.46164 rounded to two decimal places? -2.46 What is 3646000 rounded to the nearest 1000000? 4000000 Round -0.000035191 to seven dps. -0.0000352 What is 0.0001289 rounded to five decimal places? 0.00013 What is -23990000 rounded to the nearest 1000000? -24000000 Round -0.0026555 to four dps. -0.0027 What is -25.386 rounded to the nearest integer? -25 Round 1577000 to the nearest 100000. 1600000 What is 0.000005936 rounded to 6 dps? 0.000006 Round 50.75 to the nearest integer. 51 Round -19.97 to zero decimal places. -20 Round 0.26253 to 3 decimal places. 0.263 What is 226.09 rounded to the nearest 10? 230 Round 0.2226 to three decimal places. 0.223 What is 2669 rounded to the nearest 100? 2700 What is -0.067649 rounded to 4 decimal places? -0.0676 What is 0.2206 rounded to two decimal places? 0.22 What is 3.92 rounded to the nearest 10? 0 What is -432.3 rounded to the nearest integer? -432 What is 0.00824 rounded to three dps? 0.008 Round 3969.1 to the nearest one hundred. 4000 What is 17.66 rounded to zero dps? 18 Round 33.9 to the nearest 1000. 0 What is -0.7939 rounded to two decimal places? -0.79 What is 0.3488 rounded to 1 dp? 0.3 What is -0.0004339 rounded to four dps? -0.0004 What is 442 rounded to the nearest ten? 440 What is 3363200 rounded to the nearest 10000? 3360000 Round 459 to the nearest one hundred. 500 Round -2392.1 to the nearest 10. -2390 Round -325 to the nearest 1000. 0 Round 0.001554 to 4 dps. 0.0016 Round -0.0026863 to five dps. -0.00269 What is 1.908 rounded to 1 dp? 1.9 What is -1.041 rounded to one decimal place? -1 What is -21.54 rounded to zero decimal places? -22 Round -0.042968 to three dps. -0.043 Round 78770000 to the nearest one million. 79000000 What is -28800 rounded to the nearest one hundred thousand? 0 What is 1032000 rounded to the nearest 100000? 1000000 Round 0.0000012 to 6 dps. 0.000001 Round -304.64 to zero decimal places. -305 What is 368.4 rounded to the nearest 100? 400 Round -11380000 to the nearest 1000000. -11000000 Round 49950 to the nearest 10000. 50000 Round 1683.9 to the nearest 100. 1700 Round -9895 to the nearest 100. -9900 What is -0.001687 rounded to 4 decimal places? -0.0017 What is 0.00372364 rounded to 4 dps? 0.0037 Round -10061 to the nearest one thousand. -10000 Round 724170 to the nearest 1000. 724000 What is 6.572 rounded to 1 dp? 6.6 Round -479000 to the nearest 1000000. 0 What is 10.4811 rounded to the nearest integer? 10 What is -0.000010895 rounded to seven dps? -0.0000109 What is -6030 rounded to the nearest ten thousand? -10000 Round 0.00038196 to 3 dps. 0 What is 0.0013882 rounded to four dps? 0.0014 What is -52.131 rounded to 1 decimal place? -52.1 What is -67900 rounded to the nearest ten thousand? -70000 Round 0.0004515 to 5 dps. 0.00045 What is 0.0000784986 rounded to 6 decimal places? 0.000078 What is -28273 rounded to the nearest 1000? -28000 Round 9.503 to 1 dp. 9.5 Round 15597 to the nearest one hundred. 15600 Round 82.73 to the nearest ten. 80 What is -14000 rounded to the nearest 100000? 0 What is 100962 rounded to the nearest 10000? 100000 Round -5108660 to the nearest ten thousand. -5110000 Round -741.38 to the nearest ten. -740 What is -0.944 rounded to 1 dp? -0.9 What is -0.00000077169 rounded to seven decimal places? -0.0000008 Round 195.18 to the nearest integer. 195 What is -6.18 rounded to the nearest ten? -10 What is 70400 rounded to the nearest ten thousand? 70000 Round 8.73 to 1 decimal place. 8.7 What is 944 rounded to the nearest ten? 940 What is -4.585 rounded to one decimal place? -4.6 What is -0.0014037 rounded to five dps? -0.0014 Round -448.891 to the nearest ten. -450 Round 0.002414 to 3 decimal places. 0.002 What is -631470000 rounded to the nearest one million? -631000000 What is -0.098569 rounded to three decimal places? -0.099 Round 0.4082 to two dps. 0.41 Round -0.129503 to 3 dps. -0.13 What is 390.4 rounded to 0 decimal places? 390 What is -161831 rounded to the nearest 10000? -160000 What is 0.0297 rounded to 1 dp? 0 What is 0.000991 rounded to three decimal places? 0.001 Round 96043000 to the nearest one hundred thousand. 96000000 Round 1.18033 to two dps. 1.18 Round -16452000 to the nearest one million. -16000000 Round 1009.7 to the nearest one hundred. 1000 Round 0.07137 to 2 dps. 0.07 What is -61064 rounded to the nearest one thousand? -61000 What is 3000400 rounded to the nearest 10000? 3000000 Round 10473 to the nearest one hundred. 10500 Round 0.000204678 to six decimal places. 0.000205 Round -2754210 to the nearest 10000. -2750000 What is -362.8 rounded to the nearest ten? -360 What is -1.344 rounded to one decimal place? -1.3 Round -10.704 to the nearest integer. -11 What is -15.2279 rounded to 0 decimal places? -15 What is -9722000 rounded to the nearest 100000? -9700000 Round 70.8 to the nearest 10. 70 What is 0.9874 rounded to 2 decimal places? 0.99 What is -2077.8 rounded to the nearest 100? -2100 Round -0.13051 to 3 dps. -0.131 What is -0.0023277 rounded to 5 dps? -0.00233 What is 0.00001727 rounded to 6 decimal places? 0.000017 What is 240.4 rounded to the nearest 10? 240 What is -5703 rounded to the nearest one thousand? -6000 What is -0.0082009 rounded to 5 dps? -0.0082 Round -0.00000507791 to six decimal places. -0.000005 Round -294030000 to the nearest one million. -294000000 W
{ "pile_set_name": "DM Mathematics" }
Let c(u) = 3*u**3 - 18*u**2 - 20*u - 2. Let t be c(y). Solve 3*q + t = -4*s - 1, -2*q - 4 = -4*s for s. 0 Let z(q) = 3*q**3 + 17*q**2 - 43*q - 260. Let p be z(-5). Solve p*c + 20 = 2*r, -9*c + 5*c - 14 = -2*r for c. -6 Let o = -481 + 486. Solve -o*l + 5*m = -0 + 15, -l - 23 = -5*m for l. 2 Suppose 0*m - 4 = -2*m - 4*k, -5*m - 3*k + 3 = 0. Suppose 486*u - 487*u = -5. Suppose -5*n + 5 + u = m. Solve 5*p - n*y + 2 = 0, p + y - 6 = 6*p for p. -2 Let s(y) = -4*y - 10*y + 14*y**2 - y**3 - 9*y - 10. Let m be ((-12)/1)/(172/(-172)). Let o be s(m). Solve -n = -a + 11 - 3, o*n + 12 = a for a. 4 Suppose -s = 2*j - 45, -4*j + 23 = -2*s - 71. Solve 2*h - 14 = 2*c, -3*c - j = -4*c - 5*h for c. -2 Suppose 65*v = 141 + 184. Solve 21 = -v*q - 3*o, -3*o = 6*q - 8*q for q. -3 Suppose -6*f = -4*f + 54. Let b be 54/81 + 3/(f/(-39)). Suppose -x = x - 8. Solve -b*r + 3*w = -20, 4*r + x*w = -r + 20 for r. 4 Suppose -441*n + 6779 = -3805. Solve -4*r + n = -5*t - 5, r - 5*t = 26 for r. 1 Let l be ((-32)/(-6))/(6/(-18) + 0). Let x be (l/(9 + -13))/2. Solve -z = 2*z + 5*m - 17, 0 = -x*z - 2*m + 6 for z. -1 Let r be (-6)/(-4)*(-20)/(-6). Let n be (5/35)/(124/26908). Solve -5*h + 2*h - 23 = -4*p, 0 = -3*p + r*h + n for p. 2 Let r = -39 - 0. Let p be 10/3 + (-26)/r. Suppose 0 = -m - 0*m + p. Solve n - 3 - 16 = -m*g, -2*n + 13 = 3*g for n. -1 Let l be 9650/2509 + (-2)/(-13). Solve -2*j + 4*v + 16 = 0, 30 = -l*j - 4*v + 38 for j. 4 Suppose 10*g - 17 + 7 = 0. Let y be g*(1 - (5 - (3 + 6))). Solve 2*q + y*d - 5 = -4, 0 = -5*q - 3*d - 7 for q. -2 Let l(y) = y**3 - y**2 - 113*y + 46. Let x be l(11). Solve 5*p = 2*b - x, 16*b - 11*b + 2 = p for p. -3 Let x(w) = -2*w**2 + 2*w + 2. Let g be x(0). Suppose 0 = t - g*a + 2, -5 = -t - 5*a + 7. Solve -t*p - 1 = -5*k + 4*k, -k - 4*p = -7 for k. 3 Let w be 18 - ((-8)/(-2) - -12). Solve 19 = 5*z - w*h, 2*z + 2*h - 6 + 4 = 0 for z. 3 Let j(f) = -2 + 6 + 4*f - 5 + 2*f. Let h be j(1). Solve r = 4*k + 15, 21 = -4*r + 3*r - h*k for r. -1 Suppose 4*p = 15*p + 9*p - 80. Solve -p*g - 5*k - 26 = 0, 0*k - 12 = 4*g - 2*k for g. -4 Let a(l) = -l**2 - 27*l - 100. Let u be a(-5). Solve -5*o - 7 = j, 0 = 5*o - u*j + 9*j + 3 for o. -1 Let l(a) = 176*a**3 - a**2 + a. Let d be l(1). Let b = d + -172. Solve -p + 3*p + b*h - 14 = 0, -3*p + 5*h = 34 for p. -3 Let n(z) = -z**2 - 17*z + 42. Let g be n(-19). Suppose 3*t + 7*o = 4*o + 24, g*o + 58 = 5*t. Solve -4*u + 5*u + 1 = 2*k, -4*u = -2*k + t for k. -1 Let z(p) = -p**3 + 88*p**2 + 99*p - 875. Let h be z(89). Solve h = 5*t - 4*w + 25, w = 0 for t. -2 Let r(u) = u**3 - 6*u**2 + u - 2. Let w be r(6). Let y be 30/(-4)*(-6 - (-7 - -3)). Let j be y + 5 + 1/2*10. Solve w*n - j = -g, n = 3*n - 10 for g. 5 Suppose -2*c = l - 1, 138*c - 134*c + 4*l + 4 = 0. Solve -2*h - 6 = -c, -4 = 2*b + 5*h for b. 3 Suppose -4*o + o + 2*k - 7 = 0, 30 = 5*o + 5*k. Let j be (-1)/(4/240)*-10 - -6. Let c = -603 + j. Solve -o = 2*i - 3*i - 2*w, -14 = i - c*w for i. -5 Suppose 0 = o + z - 12, 5*o - 45 + 15 = z. Suppose o*p - 5*p = -80. Let q = p - -47. Solve 2*s + 2*v = -q + 1, -3*v - 1 = -s for s. -2 Let s be 27 + -22 + -3 + 4 + (-1)/1. Solve 0*h - 5*h + 10 = -3*d, s*d = 3*h - 22 for h. -1 Suppose 0 = -7*o - 6 - 29. Let x be (-700)/(-22) + o/(220/(-8)). Suppose 11*r - 87 = -x. Solve -3*v = n + 17, 5*n + 2 = r*v - 3 for v. -4 Suppose -5 = 5*w - 5*p, -3*w = -4*p - 188 + 192. Let v = -18 - -38. Solve -2*b - 15 = -5*a, -v = -3*a - b - w for a. 5 Suppose -345 = 198*s - 420*s + 99. Solve z - s*d = 106 - 102, -2*d = -3*z + 12 for z. 4 Let b(n) = 414*n + 2072. Let y be b(-5). Solve 2*o = 4*d - 12, 2*d + 0*d = y*o + 2 for d. 5 Let f = -36 - -40. Suppose -3 = -f*l + 17. Suppose 5 = l*y - 0*y. Solve -4*x + 4*a + 16 = 0, -2*x + a - y = -8 for x. 3 Suppose 0 = 4*w + 7 + 13, 2*c = -5*w - 15. Let l be ((-8)/(-18))/((-120)/(-540)). Solve -4*h - 4*d = h - 5, c*h - l*d = -25 for h. -3 Let m be 43/(-1333) - 560/(-62). Let k(r) = r - 8. Let f be k(7). Let s be f/(-6) - (-17)/6. Solve 0 = -s*b + 5*w - 2, 5*b = 2*w - m - 7 for b. -4 Suppose 0 = -4*v + 3*y - 7*y - 4, 2*y + 26 = 4*v. Suppose 0 = -q - 2*x + 3 - 2, -v*q + 7 = 5*x. Solve -k = q*w - 7, -2*w = 5*k - 8 - 1 for k. 1 Let l = 3672 + -3669. Solve 4*q = 16, -l*w + 2*q + 1 = -0*w for w. 3 Suppose -6*u = -18 - 54. Suppose u*w - 96 = 6*w. Solve 2*f + 8 = -l, 7*f - 3*f + w = -l for f. -4 Let p(s) = -5*s**2 + 29*s + 11. Let d be p(6). Suppose -47 = -2*w + 5*z, -d*w - 3*z = 2*z - 170. Solve 5*q = 3*f + f - w, 5*f = 20 for q. -3 Let j = 66 + -65. Let v be 372/18*(j - 4). Let a be 1 - (v/22 - 2/11). Solve -a*g - i = 2 - 19, 4*g - 4*i = 12 for g. 4 Let j = -1235 - -736. Let r = 501 + j. Solve -3*m = -i + 9, 10 = r*m - 4*m + 2*i for m. -2 Let m be (-6 + 21 - -3) + -14. Solve -2*s = -m*o - 12, 7*s = 2*s + o - 15 for s. -4 Suppose 0 = 4*g + 2*j - 30, g - j - 21 = -9. Let u be (((-135)/(-12))/g)/(1/4). Solve -2*y + 13 = -y - 2*v, -25 = u*v for y. 3 Let a = 39 - 22. Let n = 20 - a. Let y be 1/((-3)/(-135)*n*3). Solve -x = -2*x - y*f - 22, -2*f = 4*x + 16 for x. -2 Suppose -3*m - 2*p = -483, 150 = -40*m + 41*m - 3*p. Suppose 28 = 166*l - m*l. Solve -16 = -l*k, -1 = 4*w + 3*k - 33 for w. 5 Suppose 5*p - 48 = p. Suppose 0 = -p*m + 18*m - 6. Solve y - 12 = 4*v, 0 = -4*y + 2*v + m - 9 for y. -4 Suppose 0 = -321*d + 306*d. Suppose -3*r = -5*c, 2*r = -0*r + 3*c. Solve r = -h + 5*p + 8, p = -h - d*p - 4 for h. -2 Let a be 66/(-18)*(-12 - (2 + -11)). Solve 0 = -y - i - 2, -5 = 12*i - a*i for y. 3 Let g = 2284 + -2276. Solve -2*d - 2*i + g = 0, 0 = -10*d + 6*d + 4*i + 24 for d. 5 Suppose 40*j - 931 = 989. Let a be j/21 + (-7)/((-49)/(-2)). Solve 2*k = -3*m + 25, a*k + 4*m - 35 = -k for k. 5 Let o = 7934 + -7888. Solve 4*x - a = 21, -4*x + 22 = 44*a - o*a for x. 5 Suppose -336 = -50*h + 26*h. Suppose -h = -5*y + g, 2*y + 3 = 4*y - 3*g. Solve -y*i + 3*r + 12 = 0, -3*i = -5*i - 3*r - 17 for i. -1 Let w = -29 + 31. Suppose 14*h - 900 = w*h. Suppose 80*p - 90 = h*p. Solve -5*m + 4*j = -p, j - 4 = -2*m - m for m. 2 Let r = 22109 - 22109. Let m(n) = n**2 - 6*n + 4. Let w be m(6). Solve 4*i + 9 = -4*b + b, r = -2*b + w*i - 6 for b. -3 Let b(p) = -2*p**2 - 9*p - 5. Let k be b(-4). Let a be 2/(-2 + k + 4). Let i = -85 + 88. Solve a*w - 6*m + 10 = -i*m, -4*w + 2*m - 4 = 0 for w. 1 Suppose -q - 4 = -5*j, -144*j + 142*j + 4*q = 20. Solve j*y = -21*l + 20*l - 1, 2*y = 2*l - 16 for l. 5 Suppose 155 = 3*r + f, -6*r - 2*f + 60 = -5*r. Solve 5*d + z - 6 = 0, -5*d + 51*z = r*z - 4 for d. 1 Let n = 930 + -925. Suppose i + 2*k = -5, 0*k = -5*i - 3*k + 10. Solve -4*t = -5*p - 6, n*p + i*t - 28 = p for p. 2 Let b be ((-169)/26)/(3/(-12)). Let u be (6 - b/3)*(-6)/4. Suppose 32 = -3*f + 5*f. Solve -u*m = -5*w - 40, -4*w + f = -8*w for m. 5 Let a(r) = -715*r**2 + 358*r**2 - 26*r - 46 + 358*r**2. Let s be a(28). Solve -b = -3*c, s*c - 3*b = 5*c + 4 for c. -1 Suppose -202*x = -1857 - 2183. Solve -4*z + 4*l = -12, -l - 4*l = x for z. -1 Let d be 2 - (-9 - (-8)/(-4)*(-14 - -11)). Let k(g) = g**2 - 13*g + 5. Let r be k(12). Let x = r + 10. Solve d*n + 4*p = -p + 5, 5 = -5*n - x*p for n. -4 Let k = 1270 - 1258. Solve 5*b = 4*j + k, -28 = 5*j - 4*b - 13 for j. -3 Let u be (-99)/(-18) + -5 + 21/28*6. Solve -5*k = u*v - 17 - 3, 3*k + 30 = 3*v for k. -3 Suppose -16 = -5*l + 9. Suppose -2*j - 101 = -5*s - 0*s, -l*s + 48 = -j. Let d = j - -66. Solve -24 = -k - 4*b - 0*b, 0 = 2*k + b - d for k. 4 Let a = 7516 - 7513. Solve 2*x + a*x = l - 22, 2*l = -x for x. -4 Let h = -30 + 30. Suppose h = -4*p - 0 + 40. Suppose -28 = -2*a + 3*n + 25, -4*n + p = a. Solve -5*c + s = -a, 8 = 4*c - 3*c + s for c. 5 Let q(k) = -k**2 + 31*k - 192. Let s be q(10). Solve -29 = -5*h - 2*r, 7*h - 11*h + s = -r for h. 5 Let g be 1/((-6 + 3 + 4)*-1). Let i(z) = 26*z**2. Let b be i(g). Solve 3*a + 2*k + 2*k = -b, -5 = k for a. -2 Let s(b) be the third derivative of -b**6/120 - 19*b**5/60 + 7*b**4/8 + 13*b**3/3 - 92*b**2. Let w be s(-20). Solve -2*d + w*k - 3*k = 1, -5*k - 40 = 5*d for d. -5 Suppose 25 = -8*b - 23. Let o(x) = -3*x + 31. Let p be o(b). Let v = p + -34. Solve -2*n - 6 = -3*z, -6*z + 3*z + v = -5*n for z. 0 Suppose 6 = 2*v + 8. Let x be (v - -23)*(-6 + 54/12). Let k = -22 - x. Solve y + 0*m = -5*m - k, -4*y - 8 = 2*m for y. -1 Let g = 15 - 7. Let h be (-356)/(-20) + ((-3)/(-5))
{ "pile_set_name": "DM Mathematics" }
le of 5? True Let j = 31 - 18. Let t(i) = i**3 - 12*i**2 - 9*i - 7. Is t(j) a multiple of 15? True Suppose -i + 4*o + 40 = 0, -i + 29 = -2*o - 17. Is 13 a factor of i? True Let w = -10 - -14. Is w a multiple of 4? True Suppose 7*p - 3*p = -20. Let n = 10 + p. Suppose -s - n*i + 14 = 0, 0*s + 50 = 5*s + 5*i. Does 9 divide s? True Does 4 divide 276/6 + (-1 - -1)*-1? False Does 17 divide (-14)/21 + 670/6? False Let q = 24 - -12. Suppose -6*w = -10*w + q. Is w a multiple of 9? True Let m(a) = -10*a + 6. Let g(s) = -10*s + 5. Let f(p) = 5*g(p) - 4*m(p). Is 17 a factor of f(-6)? False Suppose 1 = -h - 1. Let b(z) = 11*z**2 - 2*z - 2. Let j be b(2). Is -2 + 1 - j/h a multiple of 9? True Is 10 a factor of (-6)/(-15)*(-1 - -61)? False Let a(n) = 35*n**2 + n - 1. Suppose -4*z = -3*z - 2. Let h be ((-18)/(-3))/z - 2. Does 20 divide a(h)? False Let x = 35 - -25. Is x a multiple of 10? True Let m be 4 - 0 - 28/7. Suppose m*n = -4*n + 116. Does 14 divide n? False Suppose -22 = -0*i - 2*i + 4*z, 9 = -i - 3*z. Let p be 3/(i/(-2)) - -30. Suppose -p = -3*x + 23. Is x a multiple of 17? True Let j = -125 + 213. Is j/5 - 4/(-10) a multiple of 18? True Suppose w + 52 = 2*w. Suppose -3*t - 2*u + 78 = -3*u, 2*t - w = 5*u. Does 18 divide t? False Let w be (36/(-3))/((-3)/2). Is 19 a factor of (2 - w)*13/(-3)? False Suppose x + 146 = 4*r, 0 = -0*r + 3*r - 3*x - 114. Is 9 a factor of r? True Let d = 69 + -41. Does 14 divide d? True Suppose -3*i = 2*u - 149, -3*i + 62 = 4*u - 89. Is 9 a factor of i? False Let i = 14 - 5. Let a(b) = b**3 - 8*b**2 - 4*b - 13. Is a(i) a multiple of 18? False Let g(q) = q**2 - q - 1. Let s be g(2). Suppose 2*y - 39 = s. Is 8 a factor of y? False Suppose -3*z + 30 = -6. Does 6 divide z? True Let o = -8 + 50. Is o a multiple of 21? True Suppose -7*y + 3*y - 4 = 5*d, -4*y - 4 = -5*d. Does 19 divide 4 + 42 + d + -2? False Let u = -10 + 3. Let f = u - -17. Is 10 a factor of f? True Suppose 8 = 6*p - 4*p. Suppose 2*x + 4*v = -p, -2 = -2*x - 3*v + 2*v. Suppose x*i - 78 = -i. Is i a multiple of 10? False Suppose 0*p - 141 = -4*h - 5*p, p - 5 = 0. Suppose -b - 3 = -2*d, 2*b - d + h = 7*b. Is b a multiple of 5? True Let m = -88 - -230. Is 22 a factor of m? False Let n be 36/7 + (-3)/21. Suppose -4*p = 0, -3*p = n*g - 42 - 78. Is 12 a factor of g? True Let m = 3 - 3. Suppose -f + m*f - 5 = 0. Does 3 divide (-1)/f + 14/5? True Suppose -12 = 5*l - 87. Is 3 a factor of 57/9 - 5/l? True Suppose 0 = -5*q + 5*k + 60, 3*q + 2*q - 25 = -2*k. Suppose -4*f = -35 + q. Is f a multiple of 2? False Let z = -47 - -88. Suppose 19 + z = 4*j. Does 5 divide j? True Let d(x) = 4*x**3 - 4. Let t be (-8 + 3 + 1)/(-2). Does 13 divide d(t)? False Suppose -76 + 1 = -5*f. Let o = -11 + f. Suppose o*h - h = 69. Is 17 a factor of h? False Suppose q - 4*q = -51. Let v be q/(-4) + 4/16. Let s = -1 - v. Is s even? False Suppose 3 = -2*z + 7. Does 12 divide 1/(z/22) - -1? True Does 2 divide 4 - 130/35 - (-47)/7? False Suppose 0 = 6*f - f. Suppose -n = -1, k - 35 = -f*k - 5*n. Does 5 divide k? True Let y = -72 - -108. Does 9 divide y? True Let o(m) = 25*m - 1. Is 12 a factor of o(1)? True Let n(p) = -p**2 - 12*p - 12. Suppose o + 2*o = -24. Let h be n(o). Suppose h = 6*j - j. Is j a multiple of 2? True Does 2 divide 76/10*(-75)/(-30)? False Suppose 10 = -o + 74. Suppose -g = g - o. Does 15 divide g? False Suppose 0*w = -w + 1. Let i = 1 - w. Suppose i = 2*s - 2*u - 4, -s - 4*u = -0*u - 12. Is 4 a factor of s? True Let r be 7 + (-3 - 3 - -3). Suppose -r*v + 161 - 21 = 0. Is 14 a factor of v? False Let u = 50 + -30. Is 13 a factor of u? False Suppose 0 = -5*f - 0*f + 360. Is f a multiple of 24? True Suppose -5*l = -33 - 12. Suppose -h = -2*s + 2, -3*h - s + 3*s + 6 = 0. Let u = l + h. Is u a multiple of 12? False Let l(n) = 3*n**3 + n**2 + 2. Let a = -6 - -4. Let c be l(a). Let b = 36 + c. Is b a multiple of 9? True Let u(z) = -3*z - 5. Let b(a) = 1. Let n(g) = 6*b(g) + u(g). Is n(-2) a multiple of 3? False Let l = -2 + 4. Suppose 4*v - 140 = -4*j, 7*v + j = l*v + 159. Suppose -b = -4*c + 6, 0 = 4*b - 5*c - 0*c - v. Is b a multiple of 5? False Let w(l) = -22*l**3 + l**2 - l - 1. Let v be w(-1). Let t = v - 8. Is 15 a factor of t? True Let i(z) = z**3 + 7*z**2 + 7. Let d be 2 + -3 + -3 + -2. Is i(d) a multiple of 15? False Let c(g) be the second derivative of -g**5/20 - g**4/2 + 3*g**2/2 + g. Let h(s) = s**3 + s**2 - s - 6. Let t be h(0). Is 2 a factor of c(t)? False Let p = -7 - -12. Suppose -p*l - 12 = -3*g + 1, -5*l + 23 = 3*g. Suppose 2*b - g = 2. Is 3 a factor of b? False Suppose 3*c + n + 2 - 6 = 0, 5*n - 20 = -3*c. Suppose -4*j = -3*b + 61, 2*b = -j - c + 59. Is b a multiple of 9? True Suppose 3*y - 8 = y. Suppose 3*t + 16 = 7*t, 0 = -y*c - 3*t. Does 12 divide 1*(-1 - c*9)? False Suppose -r - 5*g + 27 = 0, 2*r - 7 = -2*g + 7. Suppose 0 = -y + r*y. Suppose y = 2*m - 50 - 10. Is 19 a factor of m? False Suppose -p + 7 = 2*o - o, -4*o + p = -3. Let q be (2/(-3))/(o/(-6)). Suppose -q*x - 3*x = -30. Is x a multiple of 5? False Let i(p) = p**2 - 8*p - 13. Let h be i(-7). Let y = -9 + 13. Suppose 4 - h = -y*n. Is 8 a factor of n? False Let q(i) = -i**2 - 11*i - 4. Let b be q(-8). Suppose 2*a - b = -2*a. Suppose a*f - 146 = 104. Does 25 divide f? True Does 20 divide 80/(1 + (-2)/4)? True Let r(d) be the third derivative of -d**7/2520 - d**6/90 + 7*d**5/120 + d**4/8 + 3*d**2. Let g(w) be the second derivative of r(w). Does 7 divide g(-7)? True Suppose 4*t - 88 = -s, 0*t = -s - 5*t + 87. Does 42 divide s? False Suppose 4 = -3*j - 0*v + 2*v, 5*v = 2*j - 12. Let l(b) = -6*b - 2. Let u be l(-2). Does 10 divide (u/j)/((-2)/8)? True Let j(o) = -o**2 + 4*o + 60. Is j(0) a multiple of 20? True Let x(y) = y**2 + 5*y - 2. Let f be x(-6). Let w = -33 - -61. Is 13 a factor of 1*w - 8/f? True Let f(t) = 3 + 2 - 4 + t + 0. Let a be f(1). Suppose -2*p - a*j = -42, 123 = 5*p + j + 38. Is p a multiple of 8? True Let d = -18 + 30. Suppose -b + 0*b + d = 0. Does 12 divide b? True Suppose 131 = 3*j - 76. Let h = -110 - -63. Let q = h + j. Is 11 a factor of q? True Suppose -5*p = -5*y + 250, 3*y + p = 162 - 12. Does 6 divide y? False Let d(p) = p**3 - 11*p**2 + 4*p + 10. Let t be d(11). Let m be (t/7)/((-1)/(-7)). Suppose -2*y + m = -0*y. Is 10 a factor of y? False Is 1*(4 + -508)/(-4) a multiple of 15? False Let k(u) = -5*u - 10. Is 9 a factor of k(-9)? False Let a be ((-12)/(-9))/((-4)/6). Let y(b) = 9*b**2 + 1. Is y(a) a multiple of 22? False Suppose 4*l - 12 = 8. Suppose -312 = -4*q + 4*i, -l*q + 370 = -0*i + 5*i. Is q a multiple of 25? False Suppose -5*w = 4*n - 216, -3*n - 8*w + 162 = -3*w. Is 27 a factor of n? True Let k(b) = 3*b**2 + b + 2. Suppose 2*c - 55 = -3*c. Suppose -8*y + 23 = -3*y - f, 0 = -y - 5*f - c. Is 19 a factor of k(y)? False Let z be (-4)/26 + (-224)/(-104). Suppose 8 = x + z. Is x a multiple of 3? True Let l(d) = 7*d**3 + d**2 - 9*d - 7. Let g(i) = 3*i**3 + i**2 - 5*i - 4. Let k(j) = 5*g(j) - 3*l(j). Is k(-1) a multiple of 7? True Let m(s) = 47*s - 17. Does 19 divide m(4)? True Let w be -464*((-60)/(-16))/(-5). Suppose w = 4*z - 0*z. Does 29 divide z? True Let p be ((-144)/15 + 3)*5. Let j = -18 - p. Does 12 divide j? False Suppose z + 3 - 5 = 0. Suppose -t - 2*u = -4*u, -2*u + 30 = z*t. Is 10 a factor of t? True Let v(y) = 7*y + 9. Let d(m) = -m**3 - 3*m**2 + 3*m. Let i be d(-4). Is 13 a factor of v(i)? False Suppose -4*d - d = 460. Is (-3)/(1 - (-95)/d) a multiple of 27? False Let r = 16 - -64. Suppose 0 = 3*x - 4 - r. Suppose p - 2*m - x = -0*p, 5*p = 2*m + 100. Is 18 a factor of p? True Suppose -4*d = -4, s - 44 = 3*d + 63. Suppose -2*y - 22 = -m, -y + s = 5*m + 22. Does 9 divide m? True Let f = -9 - -7. Let a be 4/(1*f/(-41)). Suppose a = s + s. Is s a multiple of 15? False Let x(p) = -3*p - 8. Let n be x(-9). Suppose -32 = -h + n. Let v = h - 31. Is 10 a factor of v? True Suppose -l = -2*l + 4. Does 5 divide 84/(0 + l) + -1? True Let v = 8 + 1. Does 4 divide v? False Let o(u) = -u**3 - u**2 + u + 6. Let s be o(0). Suppose s*v - 30 = 4*v. Is 15 a factor of v? True Let z = 38 + 0. Is 38 a factor of z? True Let x(b) = -2*b**3 + 9*b**2 + 4*b + 6. Let k(c) = -4*c**3 + 17*c**2 + 7*c + 11. Let y(s) = -6*k(s) + 11*x(s). Is y(2) even? True Suppose 0 = -2*x - 4*l + 3*l + 44, 4*x = l +
{ "pile_set_name": "DM Mathematics" }
x(p). Find r, given that j(r) = 0. -108, 2 Let f(s) be the third derivative of -s**8/1680 + s**7/150 + 29*s**6/600 + 13*s**5/300 - 7*s**4/30 - 2*s**3/3 - 4145*s**2. Let f(x) = 0. What is x? -2, -1, 1, 10 Suppose 37*u = 34*u - 15. Let m(i) = 4*i**3 + 35*i**2 + 117*i + 101. Let c(y) = y**2 - y - 1. Let n(l) = u*c(l) - m(l). Determine r, given that n(r) = 0. -6, -2 Let q be -11 + (-299)/(-69)*3. Factor 2/13*y**3 + 98/13*y - 28/13*y**q + 0. 2*y*(y - 7)**2/13 Factor 276/17*y + 2/17*y**2 - 560/17. 2*(y - 2)*(y + 140)/17 Let h(z) = 7*z**2 + 4*z + 36. Let n be 20/(160/24)*5/(-3). Let i(d) = -9*d**2 - 3*d - 40. Let b(a) = n*h(a) - 4*i(a). Find g such that b(g) = 0. -2, 10 Solve -1/8*t**3 + 49/8*t**2 + 101/8*t + 51/8 = 0. -1, 51 Factor -1084*v**2 - v**4 + 24*v + 961*v**2 + 82*v**3 + 20 - 6*v**4 + 4*v. -(v - 10)*(v - 1)**2*(7*v + 2) Let p(m) = m**2 + 2*m - 24. Let y be p(6). Solve 32*d**4 - 4*d - 28*d**4 - y*d**4 + 25*d**5 + 20*d**2 - 21*d**3 = 0. -1, 0, 2/5, 1 Let -72 + 3*q**2 - 2996*q - 2979*q + 6044*q = 0. What is q? -24, 1 Let v(f) be the second derivative of f**7/42 + 47*f**6/30 + 779*f**5/20 + 5425*f**4/12 + 2516*f**3 + 5202*f**2 + 405*f. Let v(l) = 0. Calculate l. -17, -6, -1 Determine r, given that 161 - 53*r**2 - 277 - 604 + 108*r**2 + 225*r - 50*r**2 = 0. -48, 3 Let x(c) be the second derivative of -1/21*c**7 - 2/5*c**6 + 0*c**4 + 6*c**2 + c - c**5 + 94 + 11/3*c**3. Let x(m) = 0. Calculate m. -3, -2, -1, 1 Let j be (-3*8/16)/((-3)/4). Suppose -8*q + j = -30. Find y such that 72*y**3 - 2*y - 76*y**3 + 2*y**5 + q*y = 0. -1, 0, 1 Let n = -176 + 178. Factor 21 + 2*d**2 - 45 + 24 + n*d**4 - 4*d + 9*d**3 + d**2. d*(d + 1)*(d + 4)*(2*d - 1) Let m(x) be the first derivative of 34 + 0*x + 1/180*x**6 - 15*x**2 + 4/9*x**3 + 1/15*x**5 + 1/4*x**4. Let k(y) be the second derivative of m(y). Factor k(o). 2*(o + 1)**2*(o + 4)/3 Let n(w) be the third derivative of -3*w**6/160 - 61*w**5/20 - 79*w**4/32 + 81*w**3/4 - 178*w**2. Let n(m) = 0. What is m? -81, -1, 2/3 Let f(b) be the second derivative of -161*b + 10/7*b**2 + 4/21*b**4 + 0 - 1/70*b**5 - 17/21*b**3. Factor f(g). -2*(g - 5)*(g - 2)*(g - 1)/7 Suppose 8*n = 5*n + 171. Determine d, given that -9*d**5 + 117*d**3 + 784*d**2 - n*d**3 - 480*d**3 + 5*d**5 + 72*d**4 = 0. 0, 4, 7 Let d be ((-8)/(-14))/(22/847). Suppose d = 4*n + 6. Suppose -12*q + n*q + 6*q + 2*q**2 = 0. Calculate q. 0, 1 Let i(k) be the third derivative of -k**7/210 - 7*k**6/30 - 49*k**5/15 - 3074*k**2. Factor i(n). -n**2*(n + 14)**2 Let t = 248888/3 - 2737672/33. Suppose 2/11*l**2 - t - 30/11*l = 0. Calculate l. -1, 16 Let w(j) be the second derivative of j**6/300 - 161*j**5/200 - j**4/120 + 161*j**3/60 - 170*j - 7. Factor w(q). q*(q - 161)*(q - 1)*(q + 1)/10 Let i(b) = 13*b + 112. Let x be i(-8). Let z be 8*(58/x - 7). Factor 0 - 9/4*h**3 - 15/4*h - 3/4*h**4 + 27/4*h**z. -3*h*(h - 1)**2*(h + 5)/4 Let w be ((-23)/115)/((-132)/276) - -1*(-4)/(-22). Factor -24/5 - w*m**2 - 27/5*m. -3*(m + 1)*(m + 8)/5 Let h(f) be the first derivative of -2/3*f**3 - 1/12*f**4 + 25 - 8*f - 3/2*f**2. Let c(n) be the first derivative of h(n). Factor c(t). -(t + 1)*(t + 3) Let k = -958/27 + 4808/135. Let 0 + 28/15*s + k*s**2 = 0. What is s? -14, 0 Let x = 394777/4 + -98694. Factor -x*a**3 - 1 - 3/2*a**2 - 9/4*a. -(a + 1)**2*(a + 4)/4 Let k(w) be the first derivative of 3*w**4/4 + 819*w**3 + 250920*w**2 - 504300*w - 1322. Factor k(s). 3*(s - 1)*(s + 410)**2 Let l be 7 - 45/((-855)/(-38)). Let p(c) be the third derivative of 5/6*c**4 + 0*c + 0 - 12*c**2 + 0*c**3 + 1/12*c**l. Factor p(h). 5*h*(h + 4) Factor -173/3*m**2 - 1/3*m**3 + 2523 - 2465*m. -(m - 1)*(m + 87)**2/3 Let r(v) be the third derivative of -1/48*v**6 + 0*v**4 - 1/12*v**5 + 0*v + 3*v**2 + 28 + 0*v**3. Find u, given that r(u) = 0. -2, 0 Find i such that -438 + 50*i + 5*i**2 + 1081 - 538 = 0. -7, -3 Suppose -14*p = -15*p - 3*r + 6, 5*p - 12 = 3*r. Let q(o) = o**2 - 5*o + 6. Let j be q(p). Factor 0*g + j - 5/3*g**3 - 5*g**2. -5*g**2*(g + 3)/3 Let d(q) = -51*q**2 - 2184*q + 2172. Let c(u) = -12*u**2 - 546*u + 543. Let o(w) = 21*c(w) - 5*d(w). Solve o(m) = 0 for m. 1, 181 Let n(b) be the second derivative of 0*b**3 + 0*b**2 + 0*b**4 + 0 - 1/20*b**5 + 1/15*b**6 - 51*b - 1/42*b**7. Factor n(f). -f**3*(f - 1)**2 Let h(g) be the first derivative of 0*g**2 + 0*g**4 + 3/40*g**5 - 1/8*g**3 + 67 + 0*g. Factor h(r). 3*r**2*(r - 1)*(r + 1)/8 Let k(j) be the third derivative of j**8/168 + 2*j**7/21 + j**6/4 - 7*j**5/3 - 55*j**4/3 - 56*j**3 - 492*j**2 - 1. Find g, given that k(g) = 0. -7, -2, 3 Let h(l) be the second derivative of -l**5/20 - 25*l**4/6 + 19*l**3/2 + 153*l**2 - 2313*l. Find x, given that h(x) = 0. -51, -2, 3 Let i(t) = -11*t**2 - 1301*t + 9648. Let v be i(-106). Factor 196/3*z**3 - 2/3*z**4 - 2112*z**2 + 21780*z + v. -2*(z - 33)**3*(z + 1)/3 Let l(d) be the third derivative of d**8/1680 - d**7/210 + d**6/100 + d**5/150 - 7*d**4/120 + d**3/10 + 1025*d**2. Factor l(f). (f - 3)*(f - 1)**3*(f + 1)/5 Factor 0*s + 8*s**4 - 16449*s**3 + 0*s + s**5 - 16424*s**3 + 32888*s**3. s**3*(s + 3)*(s + 5) Factor -225/2*i - 5/6*i**2 + 1750/3. -5*(i - 5)*(i + 140)/6 Let s be (-2 + 58/(-3))*3651/(-14604). Factor -s*p + 2/3*p**2 + 10. 2*(p - 5)*(p - 3)/3 Let z be (-44)/24*8*-15. Let p = z - 148. Find r, given that 63*r**3 - 133 + p*r - 120 + 123*r**2 + 265 = 0. -1, -2/3, -2/7 Let o(t) = 6*t**2 - 75*t - 52. Let b(v) = -4*v**2 + 50*v + 35. Let c(q) = -7*b(q) - 5*o(q). Let f be c(13). What is h in 663*h**2 - 1 - 8 - 15*h - 669*h**f = 0? -3/2, -1 Let y = -1071099/50 + 21422. Let m(u) be the third derivative of -y*u**6 - 3/25*u**5 + 0*u**4 + 0 - 5*u + 0*u**3 - 1/1050*u**7 - 8*u**2. Factor m(q). -q**2*(q + 6)**2/5 Let q(i) = i**4 - 5*i**3 + 3*i - 2. Let w = 2 + -4. Let d(l) = l + 470*l**3 - 2*l**4 + 467*l**3 + 3*l**4 - 936*l**3. Let k(u) = w*q(u) - 2*d(u). Factor k(t). -4*(t - 1)**3*(t + 1) Let w(u) be the third derivative of 8*u**2 - 2*u - 1/120*u**6 + 0 + 0*u**4 + 0*u**3 + 0*u**5 + 1/2100*u**7. Let w(b) = 0. What is b? 0, 10 Let n = 823 - 472. Factor -91*d - 233 - 36*d**2 + n*d + 177. -4*(d - 7)*(9*d - 2) Factor 2444/7*h + 1493284/7 + 1/7*h**2. (h + 1222)**2/7 Suppose -15 = -158*d + 157*d. Let z(i) = i**3 - 15*i**2 + 5*i - 21. Let v be z(d). Let 12*g**2 - 62*g**3 + 28*g**3 - 48*g + v*g**3 + 16 = 0. Calculate g. -2, 2/5, 1 Determine r, given that -1/2*r**2 + 3 - 1/2*r = 0. -3, 2 Let b(x) be the first derivative of 1/2*x**2 + 0*x**3 + 0*x**4 + 0*x - 1/660*x**6 + 1/330*x**5 + 3. Let g(f) be the second derivative of b(f). Factor g(i). -2*i**2*(i - 1)/11 Suppose -8 = 4*c + 5*n + 4, 2*n + 8 = 0. Let x = -18 + 21. What is q in 10*q**4 - 5*q**5 + 2*q**3 + 5*q**x - 2*q**3 - 10*q**c = 0? -1, 0, 1, 2 Let r be 1/6*(68/8 - 7). Let p be (-18)/60*(-10)/12. Determine y, given that -r*y**5 + 0 + 3/4*y**3 - 1/4*y**4 + p*y**2 - 1/2*y = 0. -2, -1, 0, 1 Let q(x) be the first derivative of -2*x**3/39 - 284*x**2 - 524264*x + 5912. Factor q(z). -2*(z + 1846)**2/13 Suppose -41*q + 148*q = 0. Let w(t) be the second derivative of 0*t**2 + q + 1/72*t**4 + 1/36*t**3 - 28*t. Find b such that w(b) = 0. -1, 0 Let l(t) = t**2 - 28*t + 151. Let n be l(29). Let b = n + -359/2. Factor -1/2 - b*f**2 + f. -(f - 1)**2/2 Let y(f) = 2*f**4 + 3*f**3 - f**2 + f + 1. Let b(p) = -8*p**4 - 4*p**3 + 2*p**2 - 8*p. Let k(g) = b(g) + 3*y(g). Solve k(j) = 0. -1, 1, 3/2 Let s(v) be the second derivative of v**4/24 - 7*v**3/3 + 13*v**2 + 261*v. Factor s(h). (h - 26)*(h - 2)/2 Let h(x) be the third derivative of x**6/24 + 13*x**5/6 + 185*x**4/8 + 105*x**3 + 2015*x**2. Factor h(s). 5*(s + 2)*(s + 3)*(s + 21) Suppose -178/9*j + 116/3*j**2 - 158/9*j**3 - 28/9 + 16/9*j**4 = 0. What is j? -1/8, 1, 2, 7 Let u(n) be the second derivative of -n**7/399 - 2*n**6/19 + 467*n**5/190 - 252*n**4/19 + 92*n**3/3 - 672*n**2/19 + n - 72. Solve u(d) = 0. -42, 1, 2, 8 Let u(v) be the second derivative of -31*v**4/78 - 653*v**3/39 - 42*v**2/13 - 438*v - 7. Factor u(i). -2*(i + 21)*(31*i + 2)/13 Let d be 12/(-222) + 12/2664*974 + -1. Find p, given that 2/3*p**3 - 4*p**2 + 0 + d*p = 0. 0, 1, 5 Let n(h) = h**3 + 10*h + 2. Let t be n(0). Factor q**t + q**2 + 2914 - 2032 - 84*q. 2*(q - 21)**2 Suppose -32*k + 3 = -61. Solve -7*t - 52*t**3 + 0*t**k - 5*t**2 - 2 + 51*t**3 - 1 = 0 for t. -3, -1 Factor -1238/5*f -
{ "pile_set_name": "DM Mathematics" }
2/55 or h? h Let q = -65220647/39185 - -136209/461. Let h = q - -1369. Do h and 1 have different values? True Let r = 3189 + -130755/41. Which is greater: -1 or r? r Let f(o) = -o**3 + 136*o**2 - 197*o - 737. Let m be f(135). Which is bigger: m or -9106? -9106 Let o = 463 + -465. Let l be 235 + o + 2 + -1. Are 233 and l nonequal? True Suppose -22 = 3*b - 10. Let o be 206/(-102) - -3*b/(-6). Suppose 0 = -0*p + 2*p - 2. Are o and p nonequal? True Let u = 974/129 + -61445/387. Which is smaller: -151 or u? u Suppose 0 = -29*u - 2848 - 1386. Is -1614/11 equal to u? False Let a be (470 - (-20)/5) + -6. Suppose 467*t - 1 = a*t. Let r = 0.09 - -17.91. Which is smaller: t or r? t Let k = 1/7715 + -501483/61720. Let i = k + 197/24. Which is smaller: i or -9? -9 Let a = -64 + 61. Let t(j) = -4 - j + 4 + 1 - 5. Let x be t(a). Is x < -13? False Let u be 395/516 - 54/72. Suppose 20 = 3*k + 5. Let r be k/(15/(-12)) - -4. Which is smaller: u or r? r Let k = 956287/151 + -6333. Let r = k - 1097/1510. Let z = -17 + 16. Is r bigger than z? True Let r = 0.7 - -0.3. Let s = -84.8 + 28.2. Let k = s - -39.6. Which is bigger: k or r? r Let v = 1552 + -2285. Let j = v + 735. Suppose -4*w + 8 = 3*l + 1, 5*w + 10 = 0. Which is bigger: j or l? l Let u(f) = -2*f + 71. Let m be u(22). Let i be (m/528)/(-3)*(-614920)/90. Let n = -465/4 + i. Which is smaller: 1 or n? n Suppose -3*q = -w - 2688, 5*w - 27*q + 24*q = -13368. Is w <= -2/5? True Let w = -17140 + 291384/17. Is w at least 1? False Let m = -32 + 54. Let c be (2/(-4))/((-99)/m - -5). Is c >= -0.4? False Let a be 1070/(-1712) + (-6)/16. Which is greater: -207.5 or a? a Suppose -4*k = 5*q + 8908, -3*k = -5*k + q - 4468. Which is greater: k or -2231? -2231 Suppose 119*v - 122*v = -123. Suppose 4*l = -j + 30, 3*l + 5*j - v + 10 = 0. Is 72/11 less than l? True Suppose -80*a + 250 = -130*a. Is a less than -276/43? False Let i(f) = -f**3 - f**2 + 2*f + 2. Let w be i(-1). Suppose -q + 1 = -w*q. Let u = 283/840 - 23/40. Is q at least as big as u? True Let j = -23 + 28. Suppose -4*z + 3*s - 44 = 0, 5*z = 4*s - 43 - 11. Let w = z + 18. Which is smaller: j or w? w Let k = -35453 + 35452.9774. Is 1.8 smaller than k? False Suppose 17*y = 21*y + 16. Let q be (1 - y) + (-232)/72 - 2. Let t = -7.97 - -8. Which is bigger: t or q? t Let g(n) = n**3 - 8*n**2 + 24*n - 120. Let i be g(7). Which is smaller: i or -1/7070? i Suppose -25*z + 13*z + 60 = 0. Suppose -106*o + 101*o = -z. Is o greater than -5/24? True Let k = 80 - 33. Let v = 51 - k. Let n = 57/28 + -16/7. Which is bigger: v or n? v Suppose 156 + 64 = -2*h. Let c be (-1*2/(-6))/(h/(-10)). Which is bigger: 1 or c? 1 Let b(x) = -14*x - 24. Let c(g) = 42*g + 72. Let o(i) = 8*b(i) + 3*c(i). Let h be o(-8). Let r = -84 - h. Is r not equal to 5? True Suppose -18*q + 36 = -9*q. Suppose 1 = u - k - 0, -q = -4*u - 2*k. Let o be (-215)/73 + 3/1. Is u less than o? False Suppose 0*q - 2 = 2*q. Let v = -0.0599 + -18.9401. Which is greater: v or q? q Let g(r) = 2*r**2 - 23*r + 9. Let t be g(9). Let h be ((-22)/24 + 1)/((-64)/t). Which is smaller: h or -0.1? -0.1 Suppose 0 = -5*v + 5*f - 11531 - 16139, -5*v = f + 27700. Does -5540 = v? False Let h(f) = f**3 + 7*f**2 - 10*f - 24. Let p be h(-8). Let t be (-2)/(-12) - 1052/p. Let y = t - 19367/147. Is 0 smaller than y? False Suppose 6*z - 11 + 11 = 0. Let h = 127072 - 114364763/900. Let q = -2/225 - h. Do q and z have different values? True Let q = -116/455 - 2/65. Let m be 17 + 4901/(-290) + 309/(-1890). Which is greater: q or m? m Let l = 0.792 + 379.208. Let f = 245 - l. Which is bigger: f or 0.1? 0.1 Let q = -85/21 + 194/105. Which is greater: q or 358? 358 Let y = -2479 - -4188. Is 1707 >= y? False Let v = -13 + 15. Suppose -7*c = -v*c + 60. Let u be (2/3)/((-2)/39). Is u > c? False Let w = -66498 + 201573. Let r = -5268829/39 + w. Let d = 70/3 + r. Which is greater: 0 or d? d Let c = 135 - 135. Suppose c = -f - 4*d + 139, 3*f + 3*d = -f + 608. Which is smaller: f or 154? 154 Let t = -2.17 + 3.87. Let r = -15.7 + t. Does r = 0.1? False Let g = 14404 - 14404. Which is smaller: 6/8141 or g? g Suppose 3*c = 5*q + 23 - 34, -q - 2*c = 3. Is q not equal to 1/1442? True Let m(w) = 5*w - 64. Let h be m(21). Suppose -3*p = -8*p + 220. Let k = h - p. Which is smaller: k or 2/9? k Suppose 352 = f + 3*s - 1564, -2*s - 3840 = -2*f. Which is bigger: f or 1917? f Let y be 4/22 - 748/121. Let j be 3/y*17*-2. Which is smaller: j or 15? 15 Let t = 123953/371 - 2339/7. Is 7/10 not equal to t? True Let z = -2297 - -443322/193. Let u = -1100 + 1102. Is u less than or equal to z? False Let q = 62237897 + -18795808351/302. Let k = 121 - q. Which is bigger: 1 or k? 1 Let b(d) = -d**3 + d**2 + d. Let n(r) = -3*r**3 - r**2 + 6*r + 4. Let k(x) = 4*b(x) - n(x). Let f be k(3). Let q = 465 + -466. Which is smaller: f or q? q Suppose 0 = 5*l - 4*c + 2*c - 666, -4*l + 4*c + 528 = 0. Let p = -57 + 191. Is l < p? False Let n = 0.3 - 1.1. Let x = 517/58 - 244/29. Do x and n have the same value? False Suppose 102 = -89*h + 95*h. Suppose -145 = -5*q - 50. Which is bigger: q or h? q Let x(n) = -198*n + 1370. Let r be x(15). Is -1600 equal to r? True Let s = -499 + 571.2. Let u = s - 67. Let i = u + 4.8. Does i = 3? False Suppose 104*r - 115*r + 82984 = 0. Let w be ((-1)/1)/((-46)/r). Is 166 bigger than w? True Let v = 1197 - 1196. Is v at most 3/190? False Suppose 0 = 2*m - 89 + 87. Let k = -1966 + 505264/257. Is k less than or equal to m? True Suppose 0 = -12*r - 26 - 22. Let y be (2/r)/((-66)/(-44)). Let z = 0.01 + 1.19. Is z bigger than y? True Let r = -16 - -17. Suppose -s = -10 + 15. Let h be s/10 + (3/15 - -1). Do h and r have different values? True Let f = -215 - -1925/9. Let w be 11 + (-1 - 12/4). Suppose 0 = -3*s - w - 8, -3*s - 14 = t. Does f = t? False Suppose -7*r = -5*r. Let f(j) = -j**3 + 6*j**2 + 6*j - 7. Let u be f(7). Let n be 10/(-1 - 0)*u/28. Which is smaller: r or n? r Let z = 0.027 + -20.027. Let c = 34355 + -34348. Which is smaller: z or c? z Suppose -10 = 3*o - 4*o - 2*i, 5 = -5*o + i. Let q = -145/3 - -11174/231. Is o bigger than q? False Let w(z) = -z**3 + 2*z**2 - 3*z + 4. Let d be w(3). Let f = -559 - -563. Let m be (6/f*-1)/(3/d). Is 6 > m? False Let z(a) = a**2 - 9*a - 17. Let u be z(11). Suppose u*v = -4*c - 163, -4*v - 121 = c + 2*c. Do c and -47 have the same value? True Suppose -266*c - 2 = -5*y - 265*c, 2*y + 4 = -2*c. Let a = 468369/1360 + -1722/5. Which is smaller: a or y? a Let n be -26 + 13/13*0/1. Let m be n/13*545/(-30). Which is smaller: m or 35? 35 Let y = 6 + -1. Let m(t) = 4 + 2 - 7 + 5*t + 7 - t**3 + y*t**2. Let f be m(6). Is -1/51 > f? False Let t be ((-346)/(-164) + -2)/3. Let b be (145134/(-165))/(3/(-5)). Let z = -1466 + b. Which is smaller: z or t? z Let x(z) = -7*z**2 + 8. Let p(m) = -15*m**2 - m + 18. Let o(b) = -6*p(b) + 13*x(b). Let u be o(5). Which is smaller: u or -1/250? -1/250 Let h = -14906/9 + 1656. Which is greater: 0.4 or h? 0.4 Let o = -95 - -95.41. Let t = -2215 - -2215.59. Let v = t + o. Which is greater: 7/5 or v? 7/5 Suppose -167*l - 36 = -155*l. Let f(g) be the second derivative of -g**3/6 - 5*g**2/2 + 8*g. Let b be f(l). Which is smaller: b or -9? -9 Suppose -4 + 1 = 3*l + 3*x, -x = -4. Let f(u) = 8*u + 35. Let o(r) = -4*r + 31. Let s be o(9). Let v be f(s). Are l and v equal? True Let v = 38.9 + 0.1. Let u be ((-257)/(-17) - 6) + (-2)/17. Suppose 4*m + 2*j = -4, -5*m + 4 - u = 2*j. Are m and v unequal? True Let h = 45 - 45.016. Let p = 25.984 - h. Let y = -36 + p. Which is smaller: y or -1/3? y Suppose 0*d + h = 2*d + 2, -4*d = 3*h - 6. Let l = -50861/43 - -1183. Do l and d have the same value? False Let n = -14.44 + 0.44. Let g = 20 - 104/5. Is g greater than or equal to n? True Suppose 4*h + 1 = 5. Suppose -2*r + 3*d - 4*d = 5, -5*r - 2*d = 14. Let s be 184/1196*(r/(-2))/4. Which is greater: s or h? h Suppose 4*n + 101 + 115 = 0. Let a = n + 56. Suppose 5*k = 7 - a. Which is bigger: k or -1/11? k Let z = -20/1749 + 168284/33231. Which is smaller: z or 6? z Let n = -423667/478412 + 4295/913. Let i = 9/131 - n. Is -4 at least i? False Let l = -18275 - -18335. Are l and 122 non-equal? True Let p be 1 - 1/(-1)*1. Suppose 2*z = 2*r + 30, -12 = p*r - 6*r. Which is bigger: z or 20? 20 Let p be (20/(-24))/(15/(
{ "pile_set_name": "DM Mathematics" }
x - 88 + 53 - 159 = 12*d - x for d. -16 Solve -2*w + 50 = 6372*z - 6368*z, 3*w - 11*z + 144 = 2*w for w. -1 Solve 4*n + 5*x - 6 = 0, -36 = 4*n - 12*n + 2*x for n. 4 Solve -11*c + 14*o = -15*c + 12*o + 60, 0 = 3*c + 6*o - 207 for c. -3 Solve -2*r = -4*z - 48, -3*r - 5*z - 28032 = -28093 for r. 22 Solve 2*a = -6 - 0 - 2 - 2, -5*n - 824*a + 110 = -837*a for n. 9 Solve -5*p + 316168 = s + 316121, s + 3*p - 29 = 0 for s. 2 Solve 5*i + 66 = -4*u + 93, -u - 2*i - 26 = -2*u - 5 + 2 for u. 13 Solve -35*m - 751 = -4*r, -4*m + 5*r - 482 = -378 for m. -21 Solve 214*o = 82*s - 85*s - 1094, -5*o + 4*s = -o - 12 for o. -5 Solve -i + 5*i = 2*i - 3*i + 8*m - 49, -2*i + 5*m + 526 = 551 for i. -5 Solve 93 = 5*f - l + 355, 6*l - 12 = 0 for f. -52 Solve -3*u + 26 = -4*i, 5*i - 13014 + 13047 = 4*u for i. -5 Solve -5*b + 12505 = -2*h + 6301 + 6243, 3*h + 6*b = -9 for h. 7 Solve 3*t = 3*d - 6, 101*t - d = 98*t - 8 for t. -3 Solve 42 + 0 = -5*p - 2*o, 0 = 5*p + o + 41 for p. -8 Solve -r + 4*d = -145, 775*r + 3*d + 76 + 29 = 777*r for r. -3 Solve 114 = h + 6*c - c, 3*h - c + 84 - 58 = 0 for h. -1 Solve 4*k + 4*x = 9*k + 8*x + 11, -42 + 6 = 4*x for k. 5 Solve 2*j - 3*m - m - 1200 + 1130 = m, 0 = -3*j + 4*m + 63 for j. 5 Solve 5*y - 5*a + 123 = 43, 56*a - 616 = 0 for y. -5 Solve -289*b - 16*x = -979, -12528*b + 12524*b + 40 = 4*x for b. 3 Solve -5*h = l + 12, -146*l = -151*l + 28*h - 60 for l. -12 Solve 53 = 248*q - 254*q - 5*s, 5 = -14*s + 9*s for q. -8 Solve 2*w + 2*w + 304*f = 324*f - 88, -w = 2*f - 13 for w. 3 Solve 3*i + 3*y = 105, -10*y + 83 - 44 = 3*i + 4 - 105 for i. 30 Solve 31 = -2*q + 6*j - 5*j + 70, 4*j - 39 = -5*q + 65 for q. 20 Solve -17*c = -23*c + 5*r - 11, -c + 14 = -4*r for c. -6 Solve -3*x = -18*q + 27, -3*x - 63 + 111 = 2*q + 75 for q. 0 Solve -51*k + 116*x + 115*x = 227*x - 67, -19 = k + 5*x for k. 1 Solve -18*w + 14*w + 66*m = -18*w + 68*m - 50, 8*m = -w - 61 - 24 for w. -5 Solve 3*y - 3*y + 695 = 139*v, -5*y - 2*v + 71 = -4 for y. 13 Solve -199 = -4*h + 4*b - 202 + 139, -3*b = 8*h + 7 - 246 for h. 31 Solve 7*j - 34027*o + 34059*o = 2*j - 404, 5*j = -5*o - 80 for j. -4 Solve -d + 12015 = -4*x + 11947, 0 = 3*x - 12 for d. 84 Solve -3*q + 230 = 35*w - 479 - 108, -4*w - 64*q = -61*q - 104 for w. 23 Solve -21*n = 5*w + 781, -5*n + n = -3*n - w + 31 for n. -36 Solve -2*d + 912 - 1066 = -d - 33*m, 4*d = -m + 49 for d. 11 Solve 125 = -3*v + 5*l, 517 = -2*v - 3*l + 421 for v. -45 Solve -j = 50*f + 45, 37*f = 36*f + 4*j - 21 for f. -1 Solve -2*t - 74 = 2*y, 3*t - 374*y + 376*y + 78 = 0 for t. -4 Solve -h + 8*k = 9963 - 9910, 4*h + 152 = 2*k for h. -37 Solve 25*i - 10 = 3*w - 7*w + 122, 0 = -4*i + i - i + 4*w - 2*w for i. 4 Solve 3*m + 168 = -30*y - 21*y - 9*y, 3*y = -2*m - 1 for m. 4 Solve -18*w = 5*u + 10, -8366*u + 3*w = -8370*u - 8 for u. -2 Solve -9*d - 28*j = -31*j + 24, 0 = 5*d - 5*d - 2*j + 4 for d. -2 Solve 0 = 4*r + 2*x + 4929 - 4831, -4*r = -6*x + 90 for r. -24 Solve 3*k + 27 = -4*q, -142*k + 226*k + 60 = 4*q for q. -6 Solve 0*w + 3*w = -2*a + 7, -a - 406*w + 399*w - 2 = 0 for a. 5 Solve o - l = -0*o + 4*l + 17, -472*o = -946*o + 472*o - l - 10 for o. -3 Solve 3*m + 64*u + 1 = 69*u - 0, 4*m = 5*u - 3 for m. -2 Solve 0 = -2*p + 4, 6*p + 40 = -3*x - 5 - 219 for x. -92 Solve 12*v - 2*v + 4*v - 15719 = -u - 15694, -v - 2*v + 25 = 2*u for v. 1 Solve -2372 = -b - 3*w - 2357, -7*b + 2*w = 33 for b. -3 Solve -289*a + 25 = 2*v - 293*a - 11, -2*v = 2*v - 2*a - 24 for v. 2 Solve -3*z = -93*d + 94*d - 7, -5*d = -7*z - 35 for d. 7 Solve -3*y + 34 = 11057*c - 11061*c, 2*y = -4*c + 56 for y. 18 Solve -5*i - 305 = -4*b, 0 = 4064*i - 4062*i - 3*b + 122 for i. -61 Solve -3*s + 9*r = -117, 0 = -2*s - 5*r - 127 + 161 for s. 27 Solve 3*u - 25*k + 0*k - 1713 = 0, -u - 2*k = 117 + 25 for u. -4 Solve -5*t + 6 = 3*x - 58, -x - 69 = -0*x - 4*x for t. -1 Solve -1279685*s = -1279685*s - 2*k - 6, k + 23 = -4*s for s. -5 Solve 5*b + 35 = 2*d, b - 5166*d = 2*b - 5161*d - 155 for b. 5 Solve 1933*a + 85*u + 445 = 1938*a, 0 = 5*a + 4*u for a. 4 Solve 34 = 3*h + 20*v, -676*h = -680*h - 4*v for h. -2 Solve -594*s + 193*u - 2899 = -590*s, -2*s + 3*u = 47 for s. -1 Solve 0 = -f - 4*c - 23, 48*f + 131*c = 54*f + 130*c - 41 + 4 for f. 5 Solve -3*j - 5*l = 62, -123*l = 38*j - 125*l + 720 for j. -19 Solve 2*d - 1 = -2*q - 75, 8*d + 541 = 20*q + 1197 for q. -34 Solve 0 = 35*z + 3*w - 805, 6*w = 2*w + 7*w for z. 23 Solve -2159*g + 2150*g + 2*f = 33, 16*g = 5*f - 63 for g. -3 Solve 2*q - c - 156 = 0, 508 = 14*q + 4*c - 628 for q. 80 Solve 5*d + 198606*u = 198609*u + 83, -6*d + 2*u = -98 for d. 16 Solve 8*n - 12 = 4*x, 2091*n + 21 = 2084*n for x. -9 Solve -s + 4 = 5*v, 4*s - 143662 + 143596 = 5*v for v. -2 Solve -3*w - 57 = 0, 348*w - 352*w = -2*s + 76 for s. 0 Solve 14 = -2*z + 2776*x - 2780*x, x = 0 for z. -7 Solve -2*j + 3*l = -15, 7082*l - 7081*l = -j + 10 for j. 9 Solve -6*l + 2*p - 32 = 0, 38*l - 69*l + p = -27*l + 15 for l. 1 Solve 2*b + 14 - 46 = -3*i, -18*i = -20*i - 3*b + 13 for i. 14 Solve 0 = u - s - 46, 0*u = 15*u - 13*u - 8*s - 344 for u. 4 Solve 12 - 2 = 2*f, -4*f + 182 - 825 = -31*j - 8*j for j. 17 Solve 38*c = k - 383, c + 34 = -26042*k + 26050*k for k. 3 Solve 132 - 11 = 4*a - 3*q, q + 10 = 5*a - 34 for a. 1 Solve 5*b + 416 = -14*d, -26968*d + 26975*d + 5*b + 213 = 0 for d. -29 Solve 18*q + 5*l + 20 = 19*q, 417*q - 420*q = -2*l + 5 for q. -5 Solve -628*v + 2*m - 40 = -709*v, 3*m = 3*v + 60 for v. 0 Solve -2*y - 4*g + 26 = 0, -8*y - 90506*g + 53 = -90507*g for y. 7 Solve 86*w = 14*w + 71*w - 2*z + 7, -3*z + 58 = -5*w + 4*w - 7*w for w. -5 Solve -38*i - 68 = -42*i + 3*g - 27, -4*i + 60 = -5*g + g for i. -4 Solve -205*a + 389*a - 187*a = 3*k + 3, 4*k + 34*a + 1 = 27*a for k. -2 Solve -q - 19*o - 38 = 0, 2*q - 6*o - 201 = -2*o - 193 for q. 0 Solve -136048*n - 4*x = -136049*n - 13, 2*x + 6 = -2*n for n. -5 Solve -59091 + 59147 = -3*d + 4*y, d = -8*y for d. -16 Solve 14*w = -33*d + 30*d + 417, -15*w - 5*d - 35 = -16*w for w. 30 Solve -41*d = -6*p - 42*d - 214, -5*d - 6 = -8*d for p. -36 Solve s - 22538 + 22989 = 57*y, 35 = -s + 5*y for s. 5 Solve 4*l - 736*q + 741*q = 50, -3*l = -q - 28 for l. 10 Solve -4*w - 4 = z, z = -5*w + 1135812 - 1135819 for w. -3 Solve -4*m + 104 = 16*q, q - 2*q + 9*m - 6*m = 13 for q. 5 Solve 1 = -4*w + 9*h, 2*w - 9703736 + 9703728 = -4*h for w. 2 Solve -2*l - 2*l + 28 = 0, 529*o - 525*o + l = 19 for o. 3 Solve -3*i - 3*k = -78, 3*i = 633124*k - 633101*k - 624 for i. -1 Solve -15*f - 4*d = 47, 4*d = -2*f - 6960 + 6874 for f. 3 Solve -3*p - 4 - 27 - 10 = -5*h, -6*h + 39 = 8*p - 11*p for p. -17 Solve 179*f - 174*f = 5*c + 200, 24*c + 27*c - f + 1940 = 0 for c. -38 Solve 4*t = -3*y - 3, -2162*y = -t - 2166*y - 4 for t. 0 Solve 7*d - 4*j - 48 = -0*j, -1433 + 1468 = 5*d - 3*j for d. 4 Solve 0 = 4*a - 3*a + 92*p + 4786, -13*a - p - 50 = -14*a for a. -2 Solve 143183*q - 143180*q = 3*f + 6, -2*q + 29*f + 4 = 0 for q. 2 Solve 5*a + 43728 = 2*h + 43646, h - 14 = a for a. -18 Solve q - 128 = -u - u - 125, 22 = -3*u + 6*q + 19 for u. 1 Solve -c - 52 = -f - 80, 0 = 6*f - 4*f + 3*c - 94 for f. 2 Solve 0 = -1426*q + 1431*q + 4*v + 51, q = -9*v - 125 for q. 1 Solve 0 = i + b, -6*i + 2*b = 3*b + 2*b - 6*b + 18 for i. -2 Solve -2*d - 8 = -2*a, 10*d + 3350*a - 80 = 3345*a for d. 4 Solve 742*j - 1483*j + 2*g = -740*j + 22, 5*g = 2*j + 56 for j. 2 Solve 2*u + 59*o - 162 = 21*o, -o + 4 = 0 for u. 5 Solve -1353914*k - 135 = -5*n - 1353919*k, 56 = 3*n + 2*k for n. 2 Solve -8*k + 106*h = -0*k + 111*h + 39, 4*k - 2*h = 2*h for k. -3 Solve g = -z, 6*g - 116*z + 117*z = -70*g + 450 for g. 6 Solve 0 = -3*r + 4*b + 3, 3*r - 5*b + 6151 = 6154 for r. 1 Solve -115 = -5*g - 10*v, 86*g = 62*g + 23*g - 5*v + 20 for g. 25 Solve -h - o = -0*o + 12, -265 = 2*h + 6*o - 205 for h. -3 Solve -34*h = y + 2*y + 2*y - 146, -2*h - 17*y + 18*y + 6 = 0 for h. 4 Solve -5*j + 2*i + 30401 = 30443, 2*j = 4*i - 4 for j. -10 Solve 0 = -5*o - 3*l - 25, -197*o - 450*l + 445*l - 419 = 0 for o. -2 Solve 14 = -2*z + 16*l - 17*l, 10*z + 5*l = 7*z - 35 for z. -5 Solve 2174*s - 2176*s + 2 = -2*z, -4*z + 84 = -4*s + 22*z for s. 5 Solve -5*n - 2900*m = -2901*m - 20, 35 = 8*n - m for n. 5 Solve 5*p = 9*p + 4*b - 20, 62*b - 22*b = -2*p - 104 for p. 8 Solve -3*v + 80 = -2*q, 249895*v + 5*q - 73 = 249892*v for v. 26 So
{ "pile_set_name": "DM Mathematics" }
q? 7 Let r be -1*(-1 - -6)*1. Let k = -2 - r. Suppose -k*p + 63 = -2*n + 4*n, 0 = 2*n - 4*p - 42. Calculate the remainder when n is divided by 14. 13 Suppose 4*y = -5 + 29. Suppose 3*m + 66 = y*m. What is the remainder when m is divided by 12? 10 Suppose -3*q - 32 = -7*q. Calculate the remainder when (-392)/(-18) - (-6)/27 is divided by q. 6 Let f = -86 - -123. Let m = f + 18. Calculate the remainder when m is divided by 14. 13 Suppose 2*j - 2*h = 38, 6 = 3*h - 0. Suppose 5 - 17 = -k. What is the remainder when j is divided by k? 9 Let z(n) = n**2 + 11*n + 27. Let m = 91 - 39. What is the remainder when m is divided by z(-11)? 25 Suppose -121*q + 164 = -119*q. Suppose -30 = -2*d + 3*n, 33 = d + n + 2*n. What is the remainder when q is divided by d? 19 Let x(r) = r**2 - 6*r + 13. Let o(k) = k. Calculate the remainder when x(6) is divided by o(4). 1 Let r = 6 + -2. Calculate the remainder when r is divided by -2 + (-5)/3*-3. 1 Let l be 4 + 2 + (1 - 3). Suppose 7 + 3 = q - n, -5*q + l*n + 53 = 0. Calculate the remainder when q is divided by 7. 6 Suppose -4*a + 2*a - 2*j = -94, -3*a = 5*j - 137. What is the remainder when a is divided by 17? 15 Let f(i) = -i**3 + i**2 + i + 19. Let k(w) = w**2 + 0*w - 5 - 4*w - 2*w**2 - 3*w. Calculate the remainder when f(0) is divided by k(-4). 5 Let f = -5 - -20. Suppose -3*r = 4*i - 45, -i + 3*r + f = 5*r. Let g = -7 + i. Calculate the remainder when 6 is divided by g. 0 Suppose -3*h = 2*n - 68, -2*n = 2*h + 2*n - 32. Calculate the remainder when 155 is divided by h. 25 Suppose 2*a = -3*q, -5*a + 3*q + 23 = -q. Let x = 33 - 0. Suppose a*i - 104 = -w - x, -i + 2*w = -12. What is the remainder when 64 is divided by i? 20 Let u = -22 - -30. Calculate the remainder when u is divided by 3. 2 Let j(g) = -g**3 - 4*g + 2. What is the remainder when 107 is divided by j(-2)? 17 Let w = 11 + -8. Suppose 0*h - d = h - 76, w*d = 4*h - 318. Let b = -46 + h. Calculate the remainder when b is divided by 17. 15 Suppose 5 = 5*x + j + 2*j, 4*j - 2 = -2*x. Calculate the remainder when 31 is divided by x/2 - 63/(-6). 9 Let g(s) be the second derivative of s**3/2 - 5*s**2 + 2*s. Calculate the remainder when 31 is divided by g(7). 9 Suppose -3*w - 28 = 4*m - 2*w, 0 = -4*m - 2*w - 32. Let y = -11 - -9. Let l = y - m. Calculate the remainder when 11 is divided by l. 3 Suppose -280 = -5*v + 3*z, -10*v + 12*v - 3*z = 103. What is the remainder when v is divided by 20? 19 Suppose 0 = 3*q + 4 + 5. Let u = q + 7. Suppose 4*r = 5*n + 32, -5*r + r - 8 = 5*n. Calculate the remainder when u is divided by r. 1 Let u(o) = o**3 - 8*o**2 + 2*o - 7. Let q be u(7). Calculate the remainder when (105/(-6))/(2/(-4)) is divided by 28/(-6)*108/q. 11 Suppose 0*i = -2*i + 12. Let o = -52 + 73. What is the remainder when o is divided by i? 3 Let x be 1/(1 - (-2)/(-3)). Let r = 11 - x. Calculate the remainder when 46/2 + 1*-1 is divided by r. 6 Suppose -3*o - 5*w = 65, 3 = -o + 4*w - w. Let p = o - 3. Calculate the remainder when (222/p)/(1/(-3)) is divided by 13. 11 Let k(i) = -i**3 - 6*i**2 + 3*i - 3. Let t(a) = a**3 + 3*a**2 - 2*a + 1. Let l(d) = 3*k(d) + 5*t(d). What is the remainder when 39 is divided by l(3)? 19 Suppose -3*a = -3*u - 165, -4*u = -2*a - 7*u + 125. Suppose -16 - 74 = -3*d. Calculate the remainder when a is divided by d. 28 Let u be 6 + -5 + (0 - 4). What is the remainder when 10/15 + 208/3 is divided by (u/(-2))/(4/48)? 16 Let u be 4/(0 + 0 + -1). Let d = -3 - u. Calculate the remainder when 5 is divided by 0 + (-4*d)/(-2). 1 Let o = -23 - -43. What is the remainder when 59 is divided by o? 19 Let h(x) be the second derivative of x**3/6 + 2*x**2 - x. Calculate the remainder when (33/9 + -3)*3 is divided by h(-3). 0 Let i be (2 + -4)/(2/(-7)). Let z = 31 - i. Suppose 0 = -5*w + 4 + 61. What is the remainder when z is divided by w? 11 Let u = 93 + -64. Calculate the remainder when 143 is divided by u. 27 Let t(g) = g**3 + g**2 + 2*g - 3. Suppose -s - 5 = -3*y - 0*y, s = 4*y - 9. Calculate the remainder when t(2) is divided by s. 6 Let v(i) = -i**3 - 13*i**2 - 4*i - 11. Calculate the remainder when v(-13) is divided by 11. 8 Let t(s) = s**2 + s - 12. Let f be t(0). Let n = f - -6. Calculate the remainder when 20 is divided by (-2)/n + (-128)/(-12). 9 Let r(t) = 4*t**3 + 2*t**2 + t - 1. Let h be r(-2). Calculate the remainder when (h/12)/((-6)/32) is divided by 4. 0 Suppose 5*b = 12 + 43. Calculate the remainder when b is divided by 6. 5 Suppose -4*f - 7*f + 198 = 0. Calculate the remainder when f is divided by 7. 4 Let t(k) = -41*k - 7. Let s be t(-5). Let h = s + -121. Calculate the remainder when h is divided by 20. 17 Let r be (3 - 2)*(1 + -1). Suppose -y = -r*y - 2. Let p = 3 - 1. What is the remainder when p is divided by y? 0 Let z = -9 - -18. Suppose -f = -3*f + 8. Suppose -5*y - l = -4*l - 140, -f*y + 5*l = -125. What is the remainder when y is divided by z? 7 Let l be (3 - (-30)/(-9))*15. Let a(d) = -18*d - 2. Let t be a(l). Suppose 4*f - t + 16 = 0. What is the remainder when f is divided by 7? 4 Suppose 0 = -3*l - 5*k + 14, 0*k - 42 = -4*l + 5*k. Suppose 0 = -4*n + l*n - 84. What is the remainder when n is divided by 11? 10 Let m be 3*1*(-2)/(-3). Suppose -m*v + 3 + 1 = 0. Suppose 4*i - v*h - 44 = 0, -4*i + 58 = -0*i + 5*h. What is the remainder when 23 is divided by i? 11 Let h be ((-9)/3)/(2/(-2)). Suppose 3*q - 1 = -5*a + 20, -h*a + 5*q = -33. Calculate the remainder when (3 + -37)/(3 + -5) is divided by a. 5 Suppose 35 = 5*u - 20. Let j = 31 - u. Calculate the remainder when j is divided by 7. 6 Let i(u) = 2*u + 53. Calculate the remainder when i(-14) is divided by 10. 5 Suppose -v - 4 = 0, 0 = 4*l - 3*v + v - 96. Calculate the remainder when l is divided by 7. 1 Let g = 29 + -17. What is the remainder when 21 is divided by g? 9 Let k = 4 - 2. Suppose -142 = -4*p - k*f, p + 75 = 3*p + 5*f. Calculate the remainder when p is divided by 12. 11 Let r(z) = -2*z**3 - 4*z**2 - 3*z - 1. Let j be r(-3). Suppose 2 = -3*i + j. Calculate the remainder when 21 is divided by i. 5 Let s = 1 + -1. Suppose 0*q - q + 16 = s. Let v = -13 + 19. Calculate the remainder when q is divided by v. 4 Let n = 38 - -18. Suppose -2*w + 16 = 4*q, -2*q - n = -3*w - 0*q. What is the remainder when 2/(-8) - 370/(-8) is divided by w? 14 Suppose 8 = -4*c + 2*c. Let r = c - -7. Suppose 4*l = 7 + 17. Calculate the remainder when l is divided by r. 0 Let y(g) = g**3 + 10*g**2 - 4*g - 4. Let l be (2 + -5)/(4/8). Calculate the remainder when y(-10) is divided by (-39)/2*4/l. 10 Let f(y) = y**2 + 11*y - 8. Let i be f(-12). Suppose -x + 5*q + 40 = 0, -4*x + 40 = i*q - 0*q. What is the remainder when x is divided by 4? 3 Suppose -3 = -2*f - 5*k, 0*k - 46 = -4*f - 2*k. Suppose -u = 3*l - 35, 195 = -0*u + 5*u + 5*l. Calculate the remainder when u is divided by f. 13 Let i(u) = -u**3 + 8*u**2 + 4*u - 6. Suppose 3*m - m = 16. Let r be i(m). What is the remainder when r/6 + 2/3 is divided by 2? 1 Let i(k) = -k**3 - 8*k**2 - 3*k - 8. Let s = 1 + -3. Let f be 4/(s*(-2)/(-8)). Calculate the remainder when i(f) is divided by 6. 4 Suppose 2*m = 4*f - 58, 5*f - 3*m - 24 - 49 = 0. Calculate the remainder when 24 is divided by f. 10 Let x(j) = 5*j**2 + 3*j + 2. Let c be x(-7). Suppose -4*g = c - 26. What is the remainder when 23 is divided by g/(-6) - 1/3? 7 Suppose -6*a + 9*a - 12 = 0. Suppose a*g - 2 + 18 = 4*d, 5*g + 10 = 3*d. Calculate the remainder when 13 is divided by d. 3 Let c be (-2 - -3)/(-3)*-9. Suppose -c*p + 37 = 1. What is the remainder when p is divided by 7? 5 Let f(y) = -y**3 + 9*y**2 - 6*y + 5. Let b be f(8). Suppose -2*i + p + b = 0, 0 = -4*i + p - 15 + 56. Calculate the remainder when 18 is divided by i. 8 Let f(i) = i**3 - 5*i**2 + 3. Let k be f(5). Suppose -k*w = -11 - 22. Let y(q) = q**3 + 4*q**2 - 4*q - 2. Calculate the remainder when y(-3) is divided by w. 8 Suppose 3*x - 22 = 5*x. Let t = 3 - x. What is the remainder when 39 is divided by t? 11 Let z be 6 + (-1 - 0 - 1). Let w = 11 - z. What is the remainder when w is divided by 4? 3 Let u(m) = -m**3 - 3*m**2 + 4*m. Let h be u(-4). Suppose 4*j + 2 - 10 = h. What is the remainder when 13 is divided by (45/(-6))/(-3)*j? 3 Let x(y) = y**3 + 4*y**2 - 6. Calculate the remainder when 35 is divided by x(2).
{ "pile_set_name": "DM Mathematics" }
e 4, what is 1 - 23? -22 In base 2, what is 1100101111 - 100? 1100101011 In base 7, what is -20 + 15? -2 In base 3, what is 12 + 1? 20 In base 9, what is 4 + 86? 101 In base 4, what is -3122022 - 2? -3122030 In base 16, what is -2 - 41? -43 In base 3, what is 0 + 201? 201 In base 12, what is 5 + 881? 886 In base 15, what is -1 + 32a? 329 In base 16, what is -135 - 53? -188 In base 9, what is 1 - 18? -17 In base 12, what is -1 - 546? -547 In base 11, what is -2a8 - -4? -2a4 In base 15, what is e - -1d? 2c In base 9, what is 48 - -36? 85 In base 4, what is 1130 - 230? 300 In base 12, what is 31 + 10? 41 In base 9, what is 6 + -5262? -5255 In base 9, what is 3360 + -2? 3357 In base 14, what is 5 - 1b22? -1b1b In base 7, what is 3 + 352? 355 In base 10, what is 29 + -32? -3 In base 8, what is 11 + -426? -415 In base 8, what is 1 + 601? 602 In base 16, what is -71 + 10? -61 In base 9, what is 10858 - -4? 10863 In base 10, what is 235 + 1? 236 In base 15, what is 9a + d? a8 In base 4, what is 201 - 122? 13 In base 2, what is -100000 - -11001? -111 In base 3, what is -1 + 10110? 10102 In base 13, what is 80 - 2? 7b In base 10, what is 7269 - 4? 7265 In base 12, what is 3a2 - -5? 3a7 In base 9, what is 1806 - -3? 1810 In base 6, what is -1111 - -3? -1104 In base 14, what is -c - 6a? -78 In base 3, what is 11002 - -11? 11020 In base 10, what is 5 - 160? -155 In base 8, what is -3 + -363? -366 In base 4, what is -1230201 - 10? -1230211 In base 12, what is 4 - -73? 77 In base 14, what is -13 + -16? -29 In base 15, what is -d + -88? -96 In base 16, what is -c - -312? 306 In base 5, what is -3000 - 121? -3121 In base 3, what is 1020 + -2211? -1121 In base 9, what is 4 + -11? -6 In base 4, what is -20320 - 1? -20321 In base 15, what is 2 - -142? 144 In base 14, what is 37 + 14b? 184 In base 10, what is 79 - 5? 74 In base 13, what is -18b + 18? -173 In base 5, what is -1021 - 1? -1022 In base 15, what is -5 + -20? -25 In base 2, what is -100101 - 100110? -1001011 In base 3, what is 22 - -1110000? 1110022 In base 7, what is -51 - 104? -155 In base 2, what is 11000000001 - -101? 11000000110 In base 3, what is 1021 - -12? 1110 In base 9, what is -1240 - -4? -1235 In base 8, what is -11 - 555? -566 In base 9, what is 605 + 1? 606 In base 3, what is 2 + 100001011? 100001020 In base 11, what is 20 + 403? 423 In base 3, what is -12 - 101112? -101201 In base 3, what is 20 + 2010? 2100 In base 4, what is 333002 - -2? 333010 In base 12, what is 18b - 1? 18a In base 12, what is -115 - 40? -155 In base 11, what is -2 - 286? -288 In base 3, what is -1001112 + 10? -1001102 In base 4, what is -10 - 3120? -3130 In base 10, what is -4 + 8230? 8226 In base 6, what is 5 - 150? -141 In base 4, what is 331130 - 3? 331121 In base 4, what is 11 - -1232? 1303 In base 15, what is 252 - 0? 252 In base 5, what is 2 - -23? 30 In base 14, what is 3d3 + 3? 3d6 In base 6, what is 1230 + -2? 1224 In base 3, what is 10102 - -1022? 11201 In base 16, what is 8e - -4? 92 In base 3, what is -12 + 12100? 12011 In base 11, what is -122 - 5? -127 In base 7, what is 5 + -142? -134 In base 2, what is -110 - -10010010101? 10010001111 In base 6, what is -52 - 5? -101 In base 14, what is 56 - -3? 59 In base 11, what is 4a - 6? 44 In base 13, what is -30 - -2? -2b In base 9, what is -18 - -6? -12 In base 13, what is -115 + -5? -11a In base 6, what is 12 - 31? -15 In base 13, what is -148 - 4? -14c In base 15, what is -5 - 1a? -20 In base 2, what is 111110011 - -100? 111110111 In base 16, what is 0 + -816? -816 In base 16, what is 3 - 59? -56 In base 12, what is 10a + -7? 103 In base 3, what is 1021212120 + -1? 1021212112 In base 15, what is -8199 + 0? -8199 In base 15, what is -b - a? -16 In base 6, what is 1 - -51? 52 In base 11, what is -4 + 110? 107 In base 14, what is 5 + -7d? -78 In base 11, what is 7 + 181? 188 In base 4, what is 1 - -3102? 3103 In base 2, what is 11001 + -11110? -101 In base 12, what is -3 + -127? -12a In base 5, what is 233112 + 3? 233120 In base 7, what is -32 - -1? -31 In base 13, what is -5 - -112? 10a In base 6, what is 4 + 22? 30 In base 14, what is -1 + -13d8? -13d9 In base 5, what is 314 + 3? 322 In base 10, what is 8 + -161? -153 In base 15, what is b7 + 66? 12d In base 6, what is -311 + -2? -313 In base 14, what is -2 + 4? 2 In base 10, what is 4 + -46? -42 In base 16, what is -2 - 1f2? -1f4 In base 16, what is 36 + 16? 4c In base 2, what is 11 + 0? 11 In base 7, what is 142 + 0? 142 In base 15, what is 421 + -2? 41e In base 6, what is 41 + 45? 130 In base 14, what is 93 - -5? 98 In base 4, what is 102022 + -3? 102013 In base 2, what is 100 - -11000010000? 11000010100 In base 7, what is -3 - -632? 626 In base 16, what is 4f + -1b? 34 In base 9, what is -182 - -4? -177 In base 15, what is -22a - -1? -229 In base 6, what is 15 + 30? 45 In base 15, what is -57 + -5? -5c In base 6, what is 40 - -43? 123 In base 16, what is 408 + -3? 405 In base 9, what is -3167 - -1? -3166 In base 2, what is 1 + 11101100110? 11101100111 In base 2, what is -11111011 + 100? -11110111 In base 6, what is 3433 - 32? 3401 In base 5, what is 2 + -4011? -4004 In base 3, what is 12 - -1020211? 1021000 In base 13, what is -13 + -10? -23 In base 11, what is 288 + -2? 286 In base 13, what is 5 - -483? 488 In base 7, what is -20 - -1362? 1342 In base 16, what is 3 + 47b? 47e In base 12, what is 2 + -163? -161 In base 10, what is 986 + 4? 990 In base 5, what is 10442 - 1? 10441 In base 13, what is 3 + -9? -6 In base 13, what is 5 + -165? -160 In base 4, what is -103331 + 2? -103323 In base 11, what is 8 + 272? 27a In base 3, what is 0 - 101100? -101100 In base 14, what is 13 - 68? -55 In base 6, what is 15 + -31? -12 In base 11, what is -17 - -399? 382 In base 3, what is -112210 - -1112? -111021 In base 9, what is -3847 + 4? -3843 In base 3, what is 202121 - 10? 202111 In base 3, what is 222 - 2010? -1011 In base 4, what is -20122 - -223? -13233 In base 6, what is -12 + 5? -3 In base 14, what is 6bb + -5? 6b6 In base 10, what is 2693 - 3? 2690 In base 4, what is -10 + -120131? -120201 In base 2, what is -1110011 - -1? -1110010 In base 5, what is 2141 - -102? 2243 In base 12, what is -3 + -314? -317 In base 4, what is -121 - -30? -31 In base 5, what is 3 + 323? 331 In base 8, what is 0 - -75? 75 In base 14, what is 3 - -8b? 90 In base 2, what is -11101101 - -11? -11101010 In base 15, what is 47d + -8? 475 In base 14, what is -1 + -59? -5a In base 6, what is 2 - -31054? 31100 In base 16, what is -7f - -4? -7b In base 12, what is 1 - -65? 66 In base 3, what is -12 - -121022? 121010 In base 5, what is -124 + 134? 10 In base 16, what is -a8d + 3? -a8a In base 16, what is -64 - 4? -68 In base 16, what is -2 - 141? -143 In base 16, what is -a + -467? -471 In base 7, what is 564 - -4? 601 In base 7, what is 14 - 4? 10 In base 14, what is -4b - 42? -8d In base 12, what is -487 + -3? -48a In base 9, what is -3 + -8230? -8233 In base 7, what is -30525 + 3? -30522 In base 15, what is -4 - 1b2? -1b6 In base 16, what is 334 + 4? 338 In base 16, what is 3 - -d5? d8 In base 3, what is 2002211 - 2? 2002202 In base 3, what is 22221110 + -11? 22221022 In base 15, what is 4 + 86a? 86e In base 7, what is -203 + 33? -140 In base 3, what is -122 + -11? -210 In base 11, what is 10 - 163? -153 In base 16, what is -77 + -e? -85 In base 13, what is 3 - 70? -6a In base 4, what is 33122 - -10? 33132 In base 8, what is 1723 - 5? 1716 In base 13, what is -8c0c - 4? -8c13 In base 2, what is -101 - -1101010? 1100101 In base 6, what is 2 + -4312? -4310 In base 6, what is 13042 - 5? 13033 In base 11, what is -3 + 2764? 2761 In base 6, what is -131 + 11? -120 In base 2, what is 1111011 - -101? 10000000 In base 9, what is -3 + 463? 460 In base 16, what is 196 - 0? 196 In base 13, what is 5 + 13? 18 In base 16, what is -84 + 1? -83 In base 8, what is 5 + 3603? 3610 In base 2, what is -10000 - 0? -10000 In base 15, what is 4 + -a8? -a4 In base 12, what is 58 + -2b? 29 In base 9, what is 16804 - 5? 16788 In base 4, what is 2210321 + 3? 2210330 In base 5, what is 3 + 3124? 3132 In base 13, what is -14 - -1a? 6 In base 8, what is -6 - 3? -11 In base 16, what is -cb - -2? -c9 In base 9, what is 10 - -265? 275 In base 12, what is -a - 4? -12
{ "pile_set_name": "DM Mathematics" }
+ -3. Let o be m(i). What is w(o)? -3 Let l = -89 + 81. Let f = l - -2. Let r(b) = b**2 + 4*b - 5. What is r(f)? 7 Let m(z) = 0 - z + 1 + 0*z. Let k be 21 + -24 - (-23 + -1). Let w be (-6)/(-4)*(-28)/k. Determine m(w). 3 Let p(r) = 5*r**2 - 8*r + 6. Let o(f) = -2*f + 4*f**2 + 10*f - 2*f**2 - 5 - 6*f**2. Let l(n) = -4*o(n) - 3*p(n). Determine l(7). -5 Let a(b) = 9*b - 7. Let h(y) = -5*y + 3. Let w(n) = -2*a(n) - 5*h(n). Suppose 7*s - 28 = 2*s + 3*x, 16 = 3*s - 2*x. Suppose 5*m + s = m. What is w(m)? -15 Let n(d) = -21*d + 4. Let c(a) = -4*a. Let p(f) = 6*c(f) - n(f). What is p(-2)? 2 Let d(s) be the first derivative of -3*s**2/2 + 20*s - 8. Let x be d(-10). Let h be x/(-40) + (-3)/4. Let f(m) = m**2 + m - 2. Give f(h). 0 Let n be (-3)/(-6) - (-3)/(-2). Let w(d) = 9*d**3 - 2*d**3 - d + 0*d - 1 - 2*d**3. Let u be w(n). Let i(s) = -s + 2. Give i(u). 7 Suppose 3 = 2*t + 5*l, 4*t - 3*l = -7*l - 12. Let q(x) be the third derivative of x**5/60 + 5*x**4/24 + 7*x**3/6 + x**2 - 13. Determine q(t). 13 Let l(g) = g**2 - 4*g - 10. Let b(n) = n**2 - 4*n - 10. Let j(v) = -5*b(v) + 6*l(v). Let m(w) = -w**2 + 3*w + 9. Let r(s) = -4*j(s) - 5*m(s). Determine r(-4). 7 Let x(q) = -3*q**3 + 4*q**2 + 4*q + 12. Let y(p) = p**3 - p**2 - 2*p - 5. Let r(c) = 2*x(c) + 5*y(c). Give r(2). -1 Let s(g) = -3*g - 1. Let p(h) = -h**2 + 3*h + 2. Let k be p(5). Let t(c) = -c**3 - 9*c**2 - 10*c - 18. Let j be t(k). Calculate s(j). 5 Let l(c) = -10 - 5*c - 24*c**2 + 1 + 14*c + 23*c**2. Suppose 0 = -8*b + 14 + 42. Determine l(b). 5 Let x(v) = -v**2 + 7. Let y be (-2)/(-11) - (-8)/(-44). What is x(y)? 7 Suppose -4*h - h + 20 = 0. Let k(b) = -2*b - 3. Let w(y) = -14*y - 23. Let g(j) = 8*k(j) - w(j). Determine g(h). -9 Let b(i) = -i**3 + 5*i**2 - 7*i + 13. Let j be b(4). Let x(v) = v**2 + 2*v - 1. Determine x(j). 2 Suppose 0*n - 3*n - 9 = 0. Let a be (-2 - -3) + n + 3. Let c(u) = a - 4*u**2 + 3*u - 3*u**2 + 0 - u. Determine c(-1). -8 Let q(o) = 4*o. Let i(l) = -9*l. Let s(v) = 3*i(v) + 7*q(v). Let m(w) = 11*w + 1. Let b(n) = -2*m(n) + 18*s(n). Calculate b(-2). 6 Let g(d) be the third derivative of -1/60*d**5 + 0 + 5/6*d**3 - 14*d**2 + 1/12*d**4 + 0*d. What is g(4)? -3 Let p(q) = -2*q + 8*q**2 + 4*q + 3*q + 2*q + q**3. Suppose -9*h = -8*h + 7. What is p(h)? 0 Suppose m + m + 4*w + 14 = 0, -3*w - 9 = 3*m. Let t(x) = -x**2 + 0*x**2 + 2*x - x. Let r be t(m). Let v(q) = q**3 - q - 3. Give v(r). -3 Let l(s) = s + 4. Let u(i) = -3*i - 8. Let p(x) = 4*l(x) + 3*u(x). Calculate p(-12). 52 Let u(p) = 5*p**2 + p + 1. Suppose -4*g = 3*i + 14, i + 25*g = 22*g - 13. Determine u(i). 23 Let b(o) be the second derivative of 1/2*o**4 - 1/720*o**6 + 0*o**3 + 0*o**2 - 1/120*o**5 + 6*o + 0. Let d(g) be the third derivative of b(g). Determine d(3). -4 Suppose k + k + 24 = 2*x, -60 = 5*k + x. Let w(r) = -r**3 - 11*r**2 + 10*r - 20. Determine w(k). 4 Let r(b) = -b. Let k(i) = i**2 - i. Let p be k(1). Suppose -q + 3 = -p*q. Suppose 4*t - 16 = -0, -3*t = q*y - 18. Give r(y). -2 Let s(k) = -7*k**3 + 7*k**2 - 12*k + 3. Let y(t) = t**3 - t**2 + 2*t. Let j(l) = -s(l) - 6*y(l). What is j(0)? -3 Let k(f) = -f**3 + 8*f**2 + f - 9. Let r be (-17)/(17/(-10)) - (4 + -2). What is k(r)? -1 Let h(c) be the second derivative of -c**3/3 - 18*c**2 - 5*c + 35. Determine h(-16). -4 Let u = 11 - 16. Let c(i) be the first derivative of -i**3/3 - 3*i**2/2 + i - 1655. What is c(u)? -9 Let d be (-5 - -1) + 7/21*42. Let g(m) be the first derivative of -m**2/2 + 8*m - 1. Let s be g(d). Let x(j) = -2*j**3 + 3*j + 3. What is x(s)? 13 Let v(p) be the first derivative of -5*p**4/24 + p**3/6 + 2*p**2 + 3. Let b(d) be the second derivative of v(d). Calculate b(1). -4 Let c(l) = 19*l + 373. Let n be c(-19). Let v(m) be the second derivative of 1/20*m**5 + 0 + 1/3*m**3 + n*m - 1/4*m**4 + m**2. Calculate v(3). 8 Let j be 8 + 15*26/(-39). Let k(b) = -2*b**3 + b**2 + 3*b - 1. Calculate k(j). 13 Let d(h) = -5*h**2 - 2*h**3 + 5*h**3 - 4*h**2 + 2*h**2 + 4*h + 6 - 2*h**3. What is d(6)? -6 Let j = -9 - -9. Suppose 8*x - 19 - 21 = j. Suppose x*z = -w - 18, 5*z - z = 3*w - 22. Let f(q) = q**2 + 4*q + 6. Determine f(z). 6 Let j = 15 - 6. Suppose -3*q + 5*s = j - 43, 3*s + 15 = 0. Let p(v) = v**q - v + 5*v**2 - 5*v**2 + 2*v**2 - 3*v**2 - 7. Determine p(0). -7 Let c(b) = 159*b - 104 + 113 - 160*b. Give c(0). 9 Let f(b) = 2*b. Let r(n) = -11*n - 12. Let u(l) = 5*f(l) + r(l). What is u(-12)? 0 Let f be (3/2)/((-3)/(-4)). Let y(k) be the first derivative of 1 - k + 3/2*k**2. What is y(f)? 5 Let t(s) = 4*s**2 + 9*s**2 + 3*s**2 - 16*s**2 - 2 + s**2. Calculate t(-3). 7 Let g be ((-156)/(-117))/(2/(-15)). Let p(q) = -q**3 - 10*q**2 - 3*q - 25. Determine p(g). 5 Let g = 82 + -57. Suppose g = 44*l - 49*l. Let r(p) = p**3 + 4*p**2 - 4*p + 7. Determine r(l). 2 Let q(t) = -t**2 + 11*t - 18. Suppose 11 = p + z, -60*z + 61*z = 2. What is q(p)? 0 Let p(t) = 2*t - 7. Let u(j) = -j**2 + 7*j - 7. Let k be u(4). Determine p(k). 3 Let x(k) = -k + 1. Let y be (-15)/45 - 145/(-3). Suppose 9*m + 7*m = y. What is x(m)? -2 Let c(x) = -x**2 - 10*x - 9. Suppose 32 = -q - 5*m, 4*q + 1 = 5*m - 2. Give c(q). 12 Let a(l) = l**2 - 7*l + 3. Let y = 14 - 16. Let z be y + 3 + 2 + 5. Suppose -3*k + z = -10. Determine a(k). -3 Let b(v) = v. Let m(r) = 8*r - 6. Let a(i) = 4*b(i) - m(i). Suppose 62 = g + 58. What is a(g)? -10 Let m be (-4)/(-7) - 1*266/(-49). Let s(w) = -5 + 4 + 9*w - 10*w. What is s(m)? -7 Let h(i) be the second derivative of -i**3/3 + 2*i**2 - i. Let k(g) = -29*g - 95. Let u(s) = 6*s + 19. Let f(j) = -2*k(j) - 11*u(j). Let y be f(-3). Give h(y). -6 Let h(l) = -3*l + 60. Let d be h(19). Let r(k) = -71 + d*k + 5*k**2 + 33 + 35 + k**3. What is r(-4)? 1 Suppose -4*c = -2*p + 8, 4*c = -0*c - 4. Let n(v) = v**p + 5 - 19*v + 10*v + 8*v. What is n(0)? 5 Let g(y) be the third derivative of y**5/60 - y**4/8 - y**3/6 + 248*y**2. What is g(5)? 9 Let v(b) = -b**3 - 3*b**2 + 2*b + 1. Let f be ((-126)/(-30) + -5)*5 - -1. Give v(f). -5 Let c(k) = -2*k**3 - k**2 + 2*k. Let w(r) = r**2 - 14*r + 26. Let q be w(12). Give c(q). -16 Let a = -1256 - -1250. Let s(d) = -d**3 - 6*d**2 + 2*d - 4. What is s(a)? -16 Suppose l - 3*l + 271 = 3*f, -3*f + 277 = 5*l. Suppose f - 35 = 3*u. Let y = -17 + u. Let g(v) = -8*v**3. What is g(y)? -8 Let z(s) be the second derivative of -s**4/12 - 7*s**3/6 + s**2 - 10*s. What is z(-6)? 8 Let t(u) = -u**3 + 7*u**2 - 6*u - 4. Let r be t(6). Let g(k) = -k**2 - 8*k - 13. Give g(r). 3 Suppose -3*w - 4 = y, 5*w = 13*w + 16. Let b(i) = -6*i**2 - 3*i + 2. Determine b(y). -28 Suppose 0 = -15*s - 16*s - 124. Let k(m) = -m**2 - 3*m - 8. Determine k(s). -12 Let z(s) = 2*s**3 + 2*s**2 + s - 4. Suppose 3*o + 7 = -x, 4*o - 3*o + x = -1. Let b(h) = h**3 + h**2 - 1. Let i(g) = o*b(g) + z(g). Calculate i(-2). 1 Let z(o) = o**3 - 6*o**2 - 5*o + 32. Let u be z(6). Let l(v) = u*v - 3*v - 11 - 17 + 33. Give l(0). 5 Suppose 27*j + 90 = 18*j. Let d(n) = n + 14. Give d(j). 4 Let a(c) = -7*c + 42. Let j(m) = -2*m + 1. Let f(o) = a(o) - 2*j(o). Let s(p) = -p + 19. Let u(t) = 2*f(t) - 5*s(t). Calculate u(0). -15 Let v(o) be the first derivative of -o**2/2 + 2*o + 18. Let d be (-2)/7 + (-20)/(-35)*-3. Calculate v(d). 4 Let h(x) = 26*x**2 - 8 - 91*x**2 + 18*x**2 + 13*x + 18*x**2 + 27*x**2. What is h(9)? -53 Let d(p) = -p**2 + 3*p - 4. Let r(i) = -2*i - 20. Let z be r(-11). Give d(z). -2 Let p(g) = 114 + g - 40 - 39 - 43. Give p(8). 0 Let o(f) = -2*f**2 + 43*f + 164. Let j be o(25). Let s(g) = -g**3 - 10*g**2 + 11*g + 9. Determine s(j). 9 Let x(g) be the first derivative of -g**4/4 - 5*g**3/3 + g**2/2 + 22. Suppose 0 = 6*y - 4*y. Suppose -5*v + y*v + 50 = -5*o, 4*v = -3*o + 5. Give x(o). -5 Let y(v) = -4*v**3 + 10*v**2 + 5*v + 10. Let a be y(3). Let o(l) = l**2 - 7*l - 4. Calculate o(a). -4 Let m be (-10)/(-6) + -1 - (-6)/18. Let n(j) = -5 - 7*j + m + 119*j**2 - 120*j**2. What is n(-6)? 2 Let y(a) be the first derivative of a**3/3 + 2*a**2 + 2*a - 425. Let d = 5 + -9. Calculate y(d). 2 Let u(s) = -4*s**3 - 6*s**2 - s + 7. Let t(h) = h**3 + 2*h**2. Let o(a) = -3*t(a) - u(a). Give o(0). -7 Let y(b) be the second derivative of -b**5/20 + b**4/3 + b**3/2 + b**2 - b. Let m be -2 + 19 + 4/4. Suppose -2*q + m = 10. What is y(q)? 14 Let r(t) = -5 - 12*t + 4 + t**3 - 4 + 3 + 2*t. Calculate r(-3). 1 Let
{ "pile_set_name": "DM Mathematics" }
= -n - w, -5*n + 2*w - 5*w + 95 = 0. Let m be (344/(-7))/2*(-56)/n. Suppose y + 2 = m. Is y a multiple of 42? True Let l be (-14)/(-8) + 40/32. Suppose -o - 2*o + l*z + 1440 = 0, -2*z = 2*o - 952. Does 31 divide o? False Let r be (3/4)/(2/8). Suppose -33*h - 940 = -14502 - 5743. Suppose -h = -8*q + r*q. Is q a multiple of 8? False Let j be 1/(1/(2*1)). Let o be (-3)/1*(-258)/258. Suppose o*t + j*t = 40. Does 8 divide t? True Let i be (2 - -2)/4 + (2 - 3). Is 11 a factor of 3*26 + i + 6? False Suppose 4*v = 163*v - 779413 + 120517. Does 15 divide v? False Suppose -5*r + 24 = 2*d, -4*r = -d - 2*d - 10. Let b(n) = 5*n**2 - 8*n + 11*n - 11 - 4*n**d. Is 2 a factor of b(-7)? False Suppose -5*f + 10 = -5. Let x be ((-612)/(-119))/(f/14). Suppose a + u = -0*a + 27, 2*u = -a + x. Does 10 divide a? True Let u be 4/14 + (-32)/112. Suppose u = 6*w - 31*w + 225. Is w a multiple of 3? True Let h(z) = 3*z - 2*z + 3*z - 5*z + 19. Let d be h(17). Suppose 42 + 228 = d*c. Is c a multiple of 15? True Let c(j) = 12 + 58*j + j**3 + 33*j + 50 + 14*j**2 - 66*j. Is 5 a factor of c(-8)? False Let m(w) = -294*w - 967. Does 11 divide m(-7)? False Suppose 5*y + 2*w - 10632 = 0, 7*w + 20 = 2*w. Is 56 a factor of y? True Is (-48486)/(-60)*25 + (-5)/2 a multiple of 100? True Let l(u) = -u**3 - 3*u**2 - 3. Let x be l(-3). Let w(g) be the third derivative of -g**6/120 - g**4/6 - g**3/2 + 152*g**2. Is w(x) a multiple of 6? True Let y(p) = 44*p + 3018. Is 67 a factor of y(38)? True Let v be (751 + -1)*-10*(-4)/80. Let g = v + 514. Does 50 divide g? False Is 111 a factor of -5 + 1883 + 3 + (-5 - (4 + -15))? True Let l(z) = z**2 + 7*z - 37. Let c be l(-11). Suppose -482 - 4523 = -c*m. Is m a multiple of 55? True Suppose -o - 42 = -7*z + 4*z, 0 = z - o - 16. Is 54 a factor of (-14)/(-91) - (-1402)/z? True Suppose 90*l - 463621 = -18166 + 1160865. Is 184 a factor of l? True Suppose 5*y - 125717 = -4*w, -4*w - 125 = -117. Does 51 divide y? False Let v = 66 + -28. Suppose -131 = -4*c + p, c + 0*p + 5*p - v = 0. Is 11 a factor of c? True Let y(p) = -p**2 - p + 2. Let f be y(1). Suppose f = 4*m - 786 - 46. Does 5 divide m? False Is 26 a factor of (-114)/190 + 87/(-30)*8742/(-3)? True Suppose 3*q = 2*u - 52172, -26*q + 26065 = u - 24*q. Is 10 a factor of u? False Let s(p) = -5*p - 27. Let z be s(-5). Let d be (-22 - -33)/(z/2). Is 22 a factor of (-12)/(-14)*d*21/(-3)? True Let x(b) = -b**2 - 27*b - 40. Let w be x(-17). Suppose -w*c + 651 = -127*c. Does 9 divide c? False Suppose 10*y = 14*y, -z - 380 = -5*y. Is 6 a factor of 6/(-21) - z/7? True Let p(b) = b**2 + 21*b - 618. Is 17 a factor of p(68)? False Does 25 divide ((-543609)/(-45) - 8/40) + 24/(-6)? False Let k(r) = r**3 + 13*r**2 - 17*r + 9. Let y(f) = -f**2 - 8*f - 5. Let g be (-110)/12 + (-5)/(-30). Let t be y(g). Is k(t) a multiple of 17? True Let x(h) = 23*h + 7 + 10 + 12. Let n(p) = 2*p**3 - 11*p**2 - 20*p - 1. Let t be n(7). Is x(t) a multiple of 10? False Let k = -18 + 15. Let m be 1/k + ((-2975)/15)/(-7). Let z = -12 + m. Is 3 a factor of z? False Let g = -2133 + 2687. Does 4 divide g? False Let p be 3*(-3 - -17) + 6. Suppose p*d - 52*d = -864. Does 12 divide d? True Let y = 945 + -523. Suppose -x = -y - 254. Is 52 a factor of x? True Let f(d) be the first derivative of -d**4/4 - 22*d**3/3 - 11*d**2 - 12*d - 59. Is 3 a factor of f(-21)? True Suppose 0 = -4*w + 4*a + 272, -a - 348 = 10*w - 15*w. Let p = 276 + -126. Let x = p - w. Is x a multiple of 8? True Suppose -4*v - 1517 = b, 9 = -b + 4. Let o = -245 - v. Does 5 divide o? False Suppose 18*n - 21*n = -z + 2408, 3*n + 18 = 0. Is 167 a factor of z? False Does 139 divide -1*(-32665)/(-3 - -8)? True Let c be 16/28*77/22. Suppose -c*t = -5*r + 1583, 0 = -4*r - 4*t - 468 + 1740. Is r a multiple of 36? False Suppose 0 = 3*g - 29 + 92. Let d = 134 + -133. Does 4 divide (5/5*(d + g))/(-1)? True Suppose -447*a + 379*a + 793152 = 0. Is 81 a factor of a? True Let h be (-1)/(0 + 4/16) + 2. Is 21 a factor of ((-5)/5)/(h/236)? False Is (10 - 608/57)*-100*(-666)/(-4) a multiple of 12? True Suppose -23*g - 89*g + 251757 - 33133 = 0. Is 7 a factor of g? False Suppose -5*j + 3*j = 82. Let u = j + 47. Is 13 a factor of (-64)/(-1*4/u)? False Suppose 169*o + 10*o - 593483 = -172117. Does 5 divide o? False Let x(q) = -2972*q + 51. Is x(-2) a multiple of 11? True Suppose -38*z + 5296 = -42*z. Let i = z + 1894. Is i a multiple of 7? False Suppose 0*y + 3 = y. Suppose y*c - c - 476 = 0. Suppose 0 = -7*t + 595 + c. Is 26 a factor of t? False Suppose -g - 2*d = 2*d + 1, 3*d = 3*g - 72. Suppose -5*u = 2*r + 187, u - 3*r - g = -70. Let x = 49 + u. Is 7 a factor of x? False Suppose 5 = -0*p + p + w, -p - 4*w + 8 = 0. Suppose -3*g - 2*k - p = 0, 1 = 2*g + g + k. Suppose g*x = -d - x + 13, -45 = -5*d + 5*x. Is 3 a factor of d? False Let y be (-10)/(-25)*4/(16/(-1420)). Let g = y - -152. Does 10 divide g? True Suppose -27 = -3*y - 5*i, -7*i + 32 = 5*y - 3*i. Suppose -4*n + 9*n - y*j = -274, -n = 5*j + 78. Let s = 154 + n. Is s a multiple of 5? False Suppose -11*g = -10*g + 3*j + 35, 5*g + j = -161. Let n(o) = -o**2 - 37*o - 7. Does 9 divide n(g)? True Let a(u) = -u**3 - 34*u**2 - 23*u - 145. Is 74 a factor of a(-39)? False Let o = 1 + -9. Let m be (4/6)/(o/12) - 17. Is 9 a factor of (m/7)/(1*(-1)/7)? True Let j(u) = -u**2 - 9 - 3 - 93*u + 17*u - 8 - 7. Is j(-31) a multiple of 24? True Let g = 3316 + -3142. Does 8 divide g? False Let l = -34398 - -49066. Is 272 a factor of l? False Suppose i + 114 = 118. Suppose -2*a = -6*m + 2*m + 72, 16 = i*a. Is 9 a factor of m? False Suppose -6*q - 66397 - 1706 = -13*q. Is q a multiple of 11? False Let i(d) be the second derivative of -8*d + 1/4*d**4 - 1/2*d**2 + d**3 + 0. Does 13 divide i(-4)? False Suppose -2*u = -2*v - 1138, 3*u - v = -5*v + 1686. Let m = u + -152. Let i = m - 202. Is 46 a factor of i? False Suppose -408*n - 3972 = -410*n. Is n a multiple of 16? False Let k = -4845 + 12687. Is k a multiple of 13? False Suppose 4*c - 26 = -o, -3*c + o + 0*o = -16. Suppose 3*g = -c*b + 2*b + 25, -b - 11 = -5*g. Suppose g*w = 5*i + 52, -2*w - i = -2*i - 23. Is 2 a factor of w? False Let x(s) = -s**3 + 14*s**2 - s + 23. Suppose -3*d - 4*f + 46 = 0, f = -4*d - 0*f + 57. Is 3 a factor of x(d)? True Let d be 54/(6/1) + -4. Suppose d*h - 55 = -x + 4183, h - 840 = -4*x. Is 32 a factor of h? False Let d(p) = -52*p + 45. Let m be d(-5). Suppose 24*t + m = 2201. Is 2 a factor of t? False Suppose 5*a + 22*d - 10491 = 23*d, -3*a - 2*d + 6279 = 0. Is a a multiple of 9? True Suppose -4*s - 784 = a - 27589, -11*s - a = -73705. Is s a multiple of 11? False Let j(q) be the first derivative of -q**4/2 - 8*q**3/3 + 5*q**2/2 - 6*q - 1042. Suppose -8 = -7*x + 3*x, 0 = -5*f - 4*x - 22. Is 9 a factor of j(f)? True Let y be (756/(-90))/((-2)/10). Suppose -4*x = n - 2*n - 97, 0 = -2*x - 4*n + 62. Is 18 a factor of (1*y)/(x/75)? True Let z(n) = -24*n + 266. Is 2 a factor of z(-41)? True Suppose 0 = p + 5*v - 1440, -7*p + 3*v + 5875 = -3*p. Let n be 1/((-5)/(-25)) + p. Suppose -n = 6*a - 13*a. Is 14 a factor of a? True Let p be (-4)/3 - -1 - 78/(-18). Suppose -p*a + 76 - 32 = 0. Does 5 divide -1 - -5 - -1*a? True Let k(p) = 15*p**2 + 8*p**2 + 20*p + p**3 - 2*p**2 + 18. Suppose 4*j + 100 = -5*w, 5*w - 80 = -j + 6*j. Does 13 divide k(j)? False Let q(m) = -42*m + 42. Let f be q(-10). Let h = 850 - f. Is h a multiple of 22? False Let r(q) = q**3 - 28*q**2 + 36*q + 32. Let c be r(27). Suppose 0 = -5*p + 155 + c. Is 8 a factor of p? False Let j be (2*(-2)/4)/((-4)/8). Suppose 4*i + 5 + 3 = -2*h, j*h = -8. Suppose 12*m - 4*m - 776 = i. Is m a multiple of 15? False Let b = -122 - -76. Let h be (b*(-3)/9 - -2)*9. Suppose -5*a - 46 = -h. Is a a multiple of 14? False Let m(c) = -c**3 + 13*c**2 + 32*c - 16. Let q(v) = -v**2 + 2*v + 46. Let w be q(7). Is 8 a factor of m(w)? False Suppose -2*s + 565 = -1001. Suppose -3*v - 4*l = -2264, -3*l - s - 3000 = -5*v. Is v a multiple of 35? False Let v(t) = 14 - 5*t - 3*t**2 - 3*t**2 - 9*t**3 - 14*t**3 + 19*t**3 - 7*t**3. Is v(-3) a multiple of 8? True Let k = 281 - 94. Suppose 0 = -194*c + k*c + 1988. Is 25 a factor of c? False Suppose 0 = -5*v + 766 + 159. Does 74 divide v*(96/(-40))/(3/(-2))? True Suppose -460139 - 143581 = -54*i. Is 20 a factor of i? True Is
{ "pile_set_name": "DM Mathematics" }
and (l - 3*l**3 - l)*(-458*l + 828*l + 1248 - 1247)*(1 - 2 - 1 - 2*l). 2220*l**5 + 2226*l**4 + 6*l**3 Expand (32*y**2 - 14*y**2 + 3*y**2)*(76 - 21 + 107). 3402*y**2 Expand (3*t + 1 - 1)*(12 + 11 - 11)*(4 - 5 - 1)*(-1 + 0 - 2)*(-4 + 1 - 1). -864*t Expand (195*l - 12*l - 392*l)*(0 + 0 - 3)*(7*l**3 - 2*l - 5*l**3 - 3*l**3). -627*l**4 - 1254*l**2 Expand (10*l + 2*l + 16*l)*(-158 + 280 - 154)*(0 + 2 - 3). 896*l Expand (-296*s**2 - 17*s + 9*s + 8*s)*(-20*s**3 + 19*s**3 - 16*s**3). 5032*s**5 Expand 2*z**5 + 0*z**3 + 0*z**3 + (-14*z**4 + 5*z**4 - 5*z**4)*((-14*z + 19*z + 8*z)*(0 - 2 + 3) + 1 - 1 + 2*z). -208*z**5 Expand 5*f**5 - 4*f**5 - 4*f**5 + (0 - 1 + 7)*(15*f + 5*f + 0*f)*(-10*f**4 - f**4 + 3*f**4). -963*f**5 Expand (-1330*w**2 - 1181*w**2 + 485*w**2)*(-1 + 1 - 4*w). 8104*w**3 Expand (333*o - 713*o + 49*o)*(5*o - 4*o + 32*o). -10923*o**2 Expand (-10*x - 215*x**3 - 13289925*x**2 + 13289925*x**2)*(0 - 2 + 3). -215*x**3 - 10*x Expand (3*f**2 - 3*f**2 + f**2)*(1 + 0 + 0)*(-442 + 225*f + 442)*(-2*f**2 - 3*f**2 + f**2). -900*f**5 Expand (0 + v + 0)*(-8*v**2 + v**2 + 0*v**2) - 7501*v + 7501*v + 191*v**3. 184*v**3 Expand (1 - 35 + 2)*(3 + 1 - 2)*(1 + 0 + 3)*(-2*t**4 - 4*t**4 + 10*t**4 + 2). -1024*t**4 - 512 Expand (-5*l**5 + 7*l**5 + l**5)*(-1442 + 645 + 685) + 3*l**5 - 2*l**5 + 0*l**5 + (-3*l**4 + 0*l**4 + l**4)*(2*l + l - l) - 2*l**5 + 4*l**5 - l**5. -338*l**5 Expand -2*b**5 + 6*b**5 + 7*b**5 - 2*b**5 - 2*b**5 + 2*b**5 + (-4*b**4 + b**4 + b**4)*(1 + 2*b - 1) + 5*b**5 - 5*b**5 - b**5. 4*b**5 Expand (-3 + 1 + 1)*(5 + 3 - 5)*(-11 + 18 + 41)*(-20*u - u - u). 3168*u Expand q - 4*q + 5*q - q + 0 + 0 + (0 + 0 - 2*q)*(-2 + 5 - 2) + 7 - 7 - 10*q + (-4 - 1 + 3)*(-2 + 2 + q) + 3*q + 0 + 2 - 8. -10*q - 6 Expand (-4 + 1 + 1)*(2*y + 4 - 4)*(62 - 39 + 5)*(2*y - 4*y + 0*y + (-1 + 2 + 0)*(-7*y - 2*y + 0*y)). 1232*y**2 Expand (0 - 2 - 1)*(-147 + 4894 + 1086 - 189)*(0 + 0 - 2*m). 33864*m Expand (p + 0*p + p)*(p + 0*p**4 + 7*p**4 - 3*p**4 + (0*p**3 + p**3 - 4*p**3)*(-9143 + 9143 + 43*p)). -250*p**5 + 2*p**2 Expand 2*m**5 - 2*m**5 + m**5 + (-5*m**3 + 2*m**3 - 2*m**3)*(661*m**2 + 545*m**2 - 265*m**2). -4704*m**5 Expand (-3*y**4 + 3*y**4 + y**4)*(-3*y + y - y + (3*y + 4*y - 3*y)*(164 - 106 + 581)). 2553*y**5 Expand -5*j**2 + 58*j**2 - 52*j**2 + 135*j + (-5 - 1 + 5)*(0 - 3*j**2 + 0). 4*j**2 + 135*j Expand ((-1 + 0 + 3)*(3 - 5 + 4) + 0 + 0 + 1 + (2 + 2 - 2)*(-6 + 2 + 2) - 13 + 8 + 13)*(7*i**3 - 5*i**3 + 2*i**3). 36*i**3 Expand i - i + i**2 + (2*i + 2*i - 5*i)*(0*i - 4*i + 2*i) + 28*i**2 - 82*i + 150*i - 63*i. 31*i**2 + 5*i Expand (0*m**3 - 7*m**3 - 7*m**3)*(32 + 23 - 33 + 63). -1190*m**3 Expand (32*c**2 - 32*c**2 + 13*c**4)*(-34 - 28 - 6)*(-3 + 4 + 2). -2652*c**4 Expand (-3 + 3 + o)*(-9*o - 2*o + o) + o**2 + 12*o**2 + 9*o**2. 12*o**2 Expand -5*n**2 + 7*n**2 + 0*n**2 + 8*n**3 + (4*n**2 - 3699*n**3 + 1 + 3700*n**3 + 3)*(3 - 2 - 2). 7*n**3 - 2*n**2 - 4 Expand -1850569 + 1850569 - 54*j**4 + 2*j**3 - 3*j**4 + 3*j**3 - 3*j**3 + (j**4 + 2*j**3 - 2*j**3)*(-2 + 2 + 1) - j + j**4 + j. -55*j**4 + 2*j**3 Expand (2*c - 4*c + 4*c)*(22 + 79 - 26)*(1 + 16*c - 1). 2400*c**2 Expand 4 - 3*x - 4 + (2 - 2 - x + (-2*x + 2 - 2)*(1 + 1 - 1) - x - 1 + 1)*(-1 - 4 + 4)*(-31 - 75 + 14). -371*x Expand (-43*y + 49*y + 208*y**2 - 220*y**2)*(-3*y - 8*y**2 + 2*y**2 + 11*y**2). -60*y**4 + 66*y**3 - 18*y**2 Expand (-28 - 886*m + 441*m + 446*m)*(7*m - 10*m - 12*m)*(m**3 + 2*m**3 - 5*m**3). 30*m**5 - 840*m**4 Expand -p + 2*p - 3*p + p + 0 + 0 + (-4 + 2*p + 4)*(1 + 1 - 1) + (-26*p + 156*p - 10*p)*(1 + 3 - 3). 121*p Expand 267*g**3 - 505*g**3 - 335*g**3 + (-5 - 2*g**2 + 5)*(-2*g + 2*g + g) + 4*g**3 - 4*g**3 - 2*g**3 + (-2 + 2 - g)*(-4 + 4 - g**2). -576*g**3 Expand (1 - 1 - 2*y**2)*(-5 + 4 + 5) - 7229*y - 7233*y - 7232*y - 238*y**2 + 1 + 21690*y. -246*y**2 - 4*y + 1 Expand (-22*w + 13*w + 1 - 50*w)*(97*w + 65*w - 50*w + 58*w). -10030*w**2 + 170*w Expand (2*x - 3*x - 6*x)*(92235*x**2 - 15*x**3 - 92235*x**2 + 2*x**4). -14*x**5 + 105*x**4 Expand (36*y - 52*y - 57*y)*(30*y**2 + 5*y**2 + 0*y**2). -2555*y**3 Expand (-131*i - 2 + 175*i - 10*i + 37*i**2)*(6*i**3 - 2*i**3 - 2*i**3). 74*i**5 + 68*i**4 - 4*i**3 Expand (4*z**2 - 4*z**2 + 2*z**2)*(3 + 68*z**2 - 1416832*z + 1416832*z) - z**4 + 3*z**4 - 3*z**4. 135*z**4 + 6*z**2 Expand 83*a - 65*a - 44*a + 0*a + a - 2*a + (-1 + 2*a + 1)*(-1 + 1 + 2) + (25 + 57 - 25)*(0*a - 4*a + 3*a). -80*a Expand (295*d**2 - 30*d**2 + 319*d**2)*(0 - d**2 + 0). -584*d**4 Expand (-4 + 4 + 2*t**3)*(0 - 9 - 5 + (0 + 1 + 1)*(2 - 3 + 3) + 2 - 12 - 1). -42*t**3 Expand (19 + 6 + 31)*(2 - 2 - 1)*(-s + 0*s + 3*s)*(-36*s - 15*s + 11*s). 4480*s**2 Expand (-12 + 9 - 12)*(n + 2 - 2) + (-2 + 0 + 1)*(0 + 0 - 2*n) + (-3 + 1 + 0)*(n + 0*n - 4*n). -7*n Expand -4*k**5 + 7*k**5 - 4*k**5 + (-k**2 + k**2 - k**4)*(2 - 2*k - 2) + 1333*k**5 + 77*k - 1332*k**5 + 55*k. 2*k**5 + 132*k Expand -9*j + 9*j - 14*j**3 + (-2 + 2 - 2*j)*(2*j**2 + j**2 - 2*j**2) + 35*j**3 - 9*j**2 + 9*j**2. 19*j**3 Expand -27548 - 54*d**2 + 27548 - 4*d**2 + d**2 + d**2 + (2*d + 0*d - d)*(-d + 0 + 0). -57*d**2 Expand (0*a**3 - 2*a**3 + 0*a**3)*(4366 + 5213 - 8490) + a + a**3 - a. -2177*a**3 Expand 2861*s - 5726*s + 2875*s - 18 + 8*s + 18 + (-3 + 1 + 3)*(2 - 2*s - 2). 16*s Expand (-i + 0 + 0)*(-5607*i + 10033*i - 5284*i)*(-7*i + 3*i + 5*i - 1). 858*i**3 - 858*i**2 Expand 705 - 705 + 21*l**5 + 28*l - 2*l**5 + 0*l + 0*l + (0 + 0 - 2*l)*(-4*l**4 + 3*l**4 + 3*l**4). 15*l**5 + 28*l Expand (121 + 16 - 62)*(-1 + 1 - 3)*(-7 + 3 + 1)*(l - 5 + 5). 675*l Expand v**5 - v**4 - 3*v + 3*v + (-251*v + 71*v - 23*v)*(6*v**2 - 37*v**4 - 6*v**2). 7512*v**5 - v**4 Expand (-1314*m**2 - 48*m**5 + 1314*m**2)*(84 - 59 - 43). 864*m**5 Expand (3*l**3 - 5 + 6 - l**3)*(438 + 2238 + 4986). 15324*l**3 + 7662 Expand (i**3 + 5*i**3 - 4*i**3)*(47 + 4933*i - 13026*i - 47 + 2*i - 1 + 1 + (-4 + 3 + 3)*(0 + 2*i + 0) + 4*i - 4*i - 2*i). -16178*i**4 Expand ((0*o**4 + 0*o**4 + 3*o**4)*(-1 - 4 + 0) + (2*o**2 - 1 + 1)*(3*o - 3*o + o**2) + 0 + 0 - o**4)*(-237*o + 650*o - 222*o + 1). -2674*o**5 - 14*o**4 Expand 2*w + w + 0*w + (1 - 4 + 1)*(4 - 3 + 1)*(w + 6*w + 3*w). -37*w Expand 0*x - x + 0*x + (13 + 672 + 71 + 229)*(3*x + 0 + 0). 2954*x Expand (-2*p + 3*p + 5*p)*((5 - 3 + 0)*(340*p - 218*p - 195*p) + (2 - 2 + p)*(2 + 1 - 2)). -870*p**2 Expand 7*y**3 - 6*y**3 + 25*y**3 + (3*y + 2*y - 7*y)*(7*y**2 - 3*y**2 - y**2) + 3 - 3*y**3 - 3. 17*y**3 Expand -3*s + 7*s - 2*s + 2*s + 1 - 1 + (-3 - 1 + 2)*(2*s - 2*s - s) + (-6 + 6 + s)*(173 - 38 + 161). 302*s Expand (-3 + 5 - 3)*(-11*s - 1 + 231*s**2 - 750*s**2 + 277*s**2). 242*s**2 + 11*s + 1 Expand (-22*k + 62*k - 15*k)*(1 + 3 - 5*k - 3) - 3*k**2 - k**2 + 2*k**2. -127*k**2 + 25*k Expand (-3 - u + 3)*(-1 + 3 - 3) + 1 + u - 1 + 0 + u + 0 - 55 + 544*u + 533*u - 1081*u + (-1 + 1 + 2)*(0 + 0 + 2*u) + 2*u - 3*u + 0*u - 4 + 4 + 3*u. 5*u - 55 Expand ((-f + 5*f - 2*f)*(7 - 3 + 1) - f + 5 + 39 - 18)*(2*f**4 + 0*f**4 + f**4). 27*f**5 + 78*f**4 Expand (-51 - 7 - 34)*(4*c**2 + 7 - 7 - c**2 - 11 + 11 + (0 + c + 0)*(-2*c - 2*c + 2*c)). -92*c**2 Expand (0*q + 0*q - q)*(-3 - 2*q + 3) + 0*q**2 - 4*q**2 + 3*q**2 + 41*q - 41*q + q**2 - 3 + 41*q**2 - 28*q**2 - 28*q**2. -13*q**2 - 3 Expand (-910 + 910 + 11*u + (-32 + 18*u + 32)*(2 + 2 - 6) + 3*u - 3*u + 3*u)*(-4*u**4 + 2*u**4 + 4*u**4). -44*u**5 Expand (-c - 5*c + 4*c)*(3*c**2 - 4*c**2 + 2*c**2) - 3*c**3 - 4*c**3 + 3*c**3 + (-5*c - 4*c**2 + 5*c)*(-c + c + c). -10*c**3 Expand (-1 + 2*r + 6*r - 9*r)*(-5 + 5 - 2*r**4) + (-95 - 121 + 30)*(-2*r**5 - 1 + 1). 374*r**5 + 2*r**4 Expand (-u**2 + u**2 + u**4)*(483*u - 16*u - 186*u + 200*u + 353*u + (-1 + 2 + 1)*(2*u + 4*u - 4*u) + 4*u - 2*u - 3*u + 3*u - 3*u + 2*u). 839*u**5 Expand (-14*o + 5*o - 15*o)*(-7*o - 2*o - 11*o) - o**2 - 4*o**2 + o**2. 476*o**2 Expand (24 + 12 + 25)*(-84210*s**2 - 18*s**3 + 84210*s**2 + 11). -1098*s**3 + 671 Expand -679 + 305*v**2 + 679 + (4 - v - 4 + (-2 + 1 - 1)*(0*v - 3*v + v) + (-2 + 1 + 2)*(2*v - v - 2*v))*(0*v + 4*v + 0*v). 313*v**2 Expand (-2 + 2 + 2*s)*(-s**3 + 0*s**3 - 2*s**3) + 2*s**4 + s - s + (2*s - 1 + 1)*(-20162*s**2 - 433*s**3 + 20162*s**2). -870*s**4 Expand (1 - 1 - 2)*(-5*h + 2*h + 4*h) + 2*h + 0*h - h + 6*h - 2*h - 7*h - 147*h - 6449 + 6449 + (0 + 0 + h)*(1 + 3 + 1). -146*h Expand (-29373 - 4*a + 2*a + 16*a - 13*a)*(-a - 4 + 4)*(0*a**3 + a**
{ "pile_set_name": "DM Mathematics" }
2)/(sqrt(16)/sqrt(2)))/(sqrt(84)/sqrt(63))*-1. -3*sqrt(2) Simplify (sqrt(605) - (-1 + -1*sqrt(605))**2)*-2 - (sqrt(400)/(sqrt(16)/sqrt(2)) + sqrt(50))/(1*sqrt(810)). 196*sqrt(5)/9 + 1212 Simplify (sqrt(5040)*-1 - sqrt(560)*1)/(sqrt(28)*-4 - (sqrt(7) - (-2*sqrt(343) + sqrt(7)))). 8*sqrt(5)/11 Simplify 2*(((-2*(sqrt(68) + sqrt(68) + -1*sqrt(68)))/((sqrt(4) - sqrt(16)/sqrt(4)*5) + sqrt(4)))**2 + -3). 82/9 Simplify -3*(-3 + (sqrt(605) + (sqrt(605) - ((-3*sqrt(605) - sqrt(605)) + sqrt(605))))**2 + -1). -45363 Simplify ((2*(sqrt(95) - 2*sqrt(95) - sqrt(95)) - sqrt(95))/(sqrt(315)/sqrt(7)))**2 - (-2*(sqrt(2299) - (sqrt(2299) - (-3 + sqrt(2299)*1))))**2. -82613/9 + 264*sqrt(19) Simplify ((sqrt(176)/sqrt(4) + sqrt(44))/sqrt(4) - (sqrt(396)*-2)**2) + (sqrt(121)*-2*-1)/sqrt(11). -1584 + 4*sqrt(11) Simplify (5 + (-1*sqrt(320) - sqrt(320))**2 + (1*sqrt(320) + -1)**2 + -3)*-2. -3206 + 32*sqrt(5) Simplify -4 + -6*(1 + ((5 + 1*sqrt(448))**2 - ((1*sqrt(448))**2*-2 - sqrt(448) - sqrt(448)))). -8224 - 576*sqrt(7) Simplify (-2*(5 + 4*sqrt(1053))*-4)**2. 23040*sqrt(13) + 1079872 Simplify ((((sqrt(132) + sqrt(132)*1 + sqrt(132) + sqrt(132))/sqrt(4))/(sqrt(12)*4 - sqrt(3)) + -4)*-3)**2. -288*sqrt(11)/7 + 8640/49 Simplify (-6*(sqrt(6336) + (sqrt(6336) - sqrt(6336)*2 - sqrt(6336) - sqrt(6336))))/((2*sqrt(252))/sqrt(7)). 24*sqrt(11) Simplify (4 + (sqrt(6300)*-2 - sqrt(6300)) + -2 + 5)**2. -1260*sqrt(7) + 56749 Simplify ((0 + sqrt(605) + 4 - sqrt(605))*-5 - -6*(0 + 1*sqrt(605)))*1. -20 + 66*sqrt(5) Simplify 1*(-5*((sqrt(25) + (sqrt(300)*-2)/sqrt(12))/(sqrt(10)/sqrt(18)))**2 + -4). -229 Simplify -1 + -1*-2*(sqrt(275) - (3 + sqrt(275) + -1)) + -2. -7 Simplify 4 + (3*sqrt(75)*1 + (0 + sqrt(75))*5 + -3)**2. -240*sqrt(3) + 4813 Simplify (sqrt(28) + sqrt(56)/sqrt(2))**2*6 + (sqrt(448) - (sqrt(448) - (sqrt(448) + sqrt(448)*-3 + sqrt(448))*-5)) + sqrt(448). 48*sqrt(7) + 672 Simplify 0 + ((sqrt(56) - (sqrt(56) - sqrt(896)))*-5)/(4*1*sqrt(8))*-1. 5*sqrt(7) Simplify -5*(-1 + -3 + sqrt(3)*-1 - sqrt(21)/(sqrt(84)/sqrt(3))). 15*sqrt(3)/2 + 20 Simplify 0 + (6*(sqrt(304) - (sqrt(304) - (-4 + sqrt(304)*-3))**2) + 0)*-2. 1488*sqrt(19) + 58560 Simplify (((sqrt(625) - sqrt(25))*-3)/((sqrt(160)/sqrt(4))/sqrt(8))*-1)**2. 720 Simplify (3 + ((3*sqrt(495))/sqrt(9))/(sqrt(11) + sqrt(176)*-2 + sqrt(11)))**2 + 5. -3*sqrt(5) + 61/4 Simplify 0 + -2*5*(3 + 3*sqrt(252))*3. -540*sqrt(7) - 90 Simplify ((-1 + sqrt(68))*-2*6 + -6*sqrt(68)*1 + -2*sqrt(68)*-4)**2. -480*sqrt(17) + 6944 Simplify ((sqrt(33)/(sqrt(108) + sqrt(3)))**2 + -4 + 0)*-2. 370/49 Simplify sqrt(1100)*2*5 + (6*sqrt(88)*2)/sqrt(8). 112*sqrt(11) Simplify (-5 + (sqrt(1872) - (sqrt(1872) + 2 + sqrt(1872)))*2*-3)**2. 1008*sqrt(13) + 67441 Simplify ((sqrt(108) + -6*sqrt(108)*-1)*-4*-6)**2. 3048192 Simplify ((-2 + sqrt(1331) + 2*(sqrt(1331) + 1))**2 + 2*(0 + sqrt(1331))*4)*-1. -11979 - 88*sqrt(11) Simplify ((sqrt(245) + 1 + sqrt(245) + 2 - sqrt(245))*-6 - -5*((sqrt(245) + 0 - sqrt(245)) + -1))**2. 1932*sqrt(5) + 9349 Simplify ((-1 + sqrt(931) + sqrt(931) + -3 - sqrt(931)) + -2 + (sqrt(19) - (0 + -1*sqrt(19))))**2. -108*sqrt(19) + 1575 Simplify (sqrt(1078) + (sqrt(1078) - -1*(sqrt(1078) + -3*sqrt(1078) + sqrt(1078) + sqrt(1078))) + sqrt(1078))/(sqrt(10)/(4*sqrt(720))). 1008*sqrt(11) Simplify (4*(-2 + sqrt(60)/(1*sqrt(3)) + 5))**2. 192*sqrt(5) + 464 Simplify (-3*2*sqrt(44) + sqrt(88)/sqrt(8))/(-1*sqrt(40)/(sqrt(70)/sqrt(7))). 11*sqrt(11)/2 Simplify (-6*(2 + sqrt(1100))*1*4 + 4)**2. 21120*sqrt(11) + 635536 Simplify -3 + (4*sqrt(28) - sqrt(56)/(sqrt(8)*3))*-3 + 2. -23*sqrt(7) - 1 Simplify -2*(sqrt(567) + 3)**2 + 6*sqrt(168)/sqrt(6). -1152 - 96*sqrt(7) Simplify (1 + 4 + sqrt(1700)*4 + 0)**2. 400*sqrt(17) + 27225 Simplify ((sqrt(72)/(2*sqrt(6)*1))/((4*(sqrt(192) - sqrt(12)))/sqrt(3)))**2. 1/192 Simplify (-3*(3 + sqrt(304)*-3)*-3)**2. -5832*sqrt(19) + 222345 Simplify (3 + 3*sqrt(125) + 0 + 4 + 5 + (sqrt(125) - (-1 + sqrt(125))))**2. 390*sqrt(5) + 1294 Simplify 1*sqrt(125) + -1*sqrt(5)*-6 - ((sqrt(5) + (sqrt(5) + sqrt(180) - sqrt(5)) + sqrt(5))*-4)**2*2. -10240 + 11*sqrt(5) Simplify 5 + (sqrt(3400) + 1*sqrt(3400))/(-1*sqrt(50)). -4*sqrt(17) + 5 Simplify ((sqrt(144) + sqrt(144)*1*2)/sqrt(3))/(-1*sqrt(96) + sqrt(6) - sqrt(48)/(sqrt(8)*1)). -3*sqrt(2)/2 Simplify 2 + -1 + (1*(sqrt(1900) + 2 + sqrt(1900)))**2. 80*sqrt(19) + 7605 Simplify ((sqrt(720) + -2*sqrt(720)*-5)/(sqrt(36)*-3 + sqrt(144)))**2. 2420 Simplify ((sqrt(198)*2)/sqrt(6))/(sqrt(12)/sqrt(324)) + -1. -1 + 18*sqrt(11) Simplify ((-1*sqrt(84)*-1 - sqrt(84))*-4)/((sqrt(1200) - (sqrt(1200) + sqrt(1200)*-2))*6) + -1. -1 Simplify -1 + (5*(sqrt(19) + sqrt(95)/sqrt(45) - -5*sqrt(19)*-2)*-5)**2 + -2. 8027473/9 Simplify ((-3 + sqrt(13) + 0 - (sqrt(13) - (0 + sqrt(13)))*4) + -4)**2*5. -70*sqrt(13) + 310 Simplify (sqrt(208)*-4 - -5*sqrt(208)/sqrt(4))/(sqrt(32)/(-2*sqrt(200))). 30*sqrt(13) Simplify -5 + 4 + sqrt(26)/(sqrt(50) - sqrt(2))*4. -1 + sqrt(13) Simplify 5*((sqrt(170) - 2*sqrt(170))/sqrt(10) + -5*sqrt(68))**2 + -4. 10281 Simplify (-4*(3*sqrt(119)*1 + sqrt(119)))/(sqrt(49)/(sqrt(35)/sqrt(45))). -16*sqrt(17)/3 Simplify (-2*2*sqrt(66)*1)/(sqrt(216) - ((sqrt(216) - 1*sqrt(216)) + sqrt(216))*-1)*-3. sqrt(11) Simplify 6*sqrt(51)/sqrt(3) - (sqrt(68) + 5)**2 - -3*(sqrt(272) - (-2 + sqrt(272)) - sqrt(17))**2. -26*sqrt(17) - 30 Simplify (((sqrt(132)*2 + sqrt(132))*5)/sqrt(11))/(sqrt(32)/sqrt(128) + (1*sqrt(12)/sqrt(3) - sqrt(4))). 60*sqrt(3) Simplify (-5 + (sqrt(2057) + (sqrt(2057) - (2*sqrt(2057) - sqrt(2057))))**2 + 3 + 1)*-2. -4112 Simplify (sqrt(825)*1 + sqrt(825))/sqrt(3) + ((sqrt(99) + (sqrt(99) - (4 + sqrt(99))) - sqrt(99))*-1)**2 + sqrt(99). 16 + 13*sqrt(11) Simplify ((sqrt(1331)*2 + sqrt(1331) + 2 - ((sqrt(1331) - (sqrt(1331) - 2*sqrt(1331))) + -4)) + -4*(2*sqrt(1331) + 3))**2*-4. -261020 - 3696*sqrt(11) Simplify (sqrt(468)/(sqrt(9) - 4*sqrt(9)*1))/(3*sqrt(36)*5). -sqrt(13)/135 Simplify -3 + (sqrt(50) + sqrt(100)/sqrt(2)*4)/((-3*sqrt(90) + sqrt(90))/sqrt(9) - sqrt(10)). -5*sqrt(5)/3 - 3 Simplify (-6*(1 + -1*sqrt(2187) + 0))**2. -1944*sqrt(3) + 78768 Simplify (sqrt(175)/(-5*3*sqrt(5) - sqrt(5)))/(sqrt(7623)*3). -sqrt(5)/1584 Simplify 5 + sqrt(1911)/sqrt(3) - (-4 + -2 + sqrt(91)/sqrt(7)). 11 + 6*sqrt(13) Simplify (-2 + 3 + sqrt(99) + sqrt(99) - sqrt(99))**2 + 6*3*sqrt(99) + -2. 98 + 60*sqrt(11) Simplify (-4 + sqrt(847)*2 + 4 + 0 + 1*sqrt(847))**2. 7623 Simplify ((2 + 5*(sqrt(931)*-2 + sqrt(931)))*2)**2. -560*sqrt(19) + 93116 Simplify -5 + (-4*sqrt(3600) - sqrt(3600))/(sqrt(5) - 5*(sqrt(5) - (sqrt(35)/sqrt(7) - sqrt(5)))). -5 + 15*sqrt(5) Simplify sqrt(15)/((sqrt(27)*1)/sqrt(9)) + sqrt(45)/(sqrt(9)*6)*3. 3*sqrt(5)/2 Simplify (((sqrt(130) - sqrt(130)*2) + sqrt(130))*6 - 6*1*sqrt(130))/(sqrt(1210)*2 + (sqrt(300)/sqrt(5))/sqrt(6)). -6*sqrt(13)/23 Simplify 0 + (2 + 1 + sqrt(1008))**2*-3. -3051 - 216*sqrt(7) Simplify ((sqrt(153) - (sqrt(153) + (sqrt(153) - (sqrt(153) - (sqrt(153)*-2*1 - sqrt(153)))))) + sqrt(153) + sqrt(153))/(sqrt(9)*2*-2) + 4*sqrt(425)*-1 + -5. -85*sqrt(17)/4 - 5 Simplify 4*((sqrt(160)*-2)/sqrt(5) + (sqrt(8) + 1)**2 + (1 + sqrt(2) + sqrt(2))**2 + -5). 52 Simplify (sqrt(70)/(sqrt(7)*1) + -1*sqrt(1210))/(sqrt(405) - (sqrt(405) + sqrt(405)*-1)*6). -10*sqrt(2)/9 Simplify (-1*-4*sqrt(4500))/(sqrt(108)/sqrt(192) - sqrt(27)/(sqrt(15)/sqrt(5))). -160*sqrt(5)/3 Simplify -4 + 2*(-6*(sqrt(3072) + sqrt(3072)*2))**2. 1990652 Simplify -5*(sqrt(125) + 3 + -4)*5. -125*sqrt(5) + 25 Simplify 4*(1 + (sqrt(17)*2)**2 + sqrt(17) - sqrt(17)) - -5*(sqrt(272)*-6)**2. 49236 Simplify (sqrt(1700) - (-4 + (sqrt(1700) - 4*sqrt(1700)) + sqrt(1700)) - (sqrt(1700) + -5)*3)**2*-3. -1083 Simplify (3 + sqrt(13) + -2)*-3 - sqrt(104)/(sqrt(32)/(sqrt(8)/sqrt(2))). -4*sqrt(13) - 3 Simplify (sqrt(153) + (-2*sqrt(153)*-3 - sqrt(153)) + sqrt(153) - sqrt(153) - sqrt(153))/sqrt(9) - ((sqrt(17) - 1*sqrt(2057)) + 1*sqrt(68))**2. -1088 + 5*sqrt(17) Simplify (4*(sqrt(1666) + sqrt(1666)*3))/(sqrt(20)/(4*sqrt(160))). 1792*sqrt(17) Simplify ((sqrt(418)/sqrt(44))/(sqrt(2) - (sqrt(6)/sqrt(3) + sqrt(2))*-1))**2. 19/36 Simplify (sqrt(175) - sqrt(175)*-2) + (-1*sqrt(567))**2 - ((-4 + -2*sqrt(175) + sqrt(175))*-1)**2. -25*sqrt(7) + 376 Simplify -1*-3*(sqrt(117) + (sqrt(117)*1)**2) - (1*(sqrt(91)*-2 - sqrt(91)))/(sqrt(7) + (sqrt(252) - 1*sqrt(25
{ "pile_set_name": "DM Mathematics" }
-26*i**2 + 13*i Expand (-13*k + 14*k**3 + 13*k)*(2 + 2*k - 2) + (4*k**2 - k + k)*(k - k - k**2) + 2*k**4 - k + k. 26*k**4 Expand (-1 - 2*z - z + 4*z)*(13292 - 881*z - 13292). -881*z**2 + 881*z Expand (161*x + 196*x - 20*x + (-3*x + 4*x + 0*x)*(1 - 1 - 1))*(-1 + 3 - 1). 336*x Expand (-2*l - l + l)*(-l - 4*l + 4*l) + (3 - 3 + 2*l)*(270848 - 270848 - 461*l). -920*l**2 Expand (0*x - 4*x**2 + 0*x)*(11*x - 16*x - 11*x + (3 + 3 - 5)*(x + 0 + 0) + x - 1 + 1 + x + x + 0*x). 48*x**3 Expand (175 - 6*b - 175)*(0*b**3 + 0*b**3 + 3*b**3). -18*b**4 Expand (-13 - 2 + 3)*(5 - 6 + 3)*(a + a - 3*a)*(10*a - 5*a + 4*a + (-2 + 2 - 2)*(2*a - 2*a + a) - 6 - 3*a + 6). 96*a**2 Expand (-1 + u + 1)*(2 + 3*u**3 - 2) - 2*u**4 - 9 + 9 - u**4 + 7*u**4 + u**4. 8*u**4 Expand (-5*v**4 + v**4 + 3*v**4)*(0*v - 3*v + 4*v) - 2*v**5 + 5*v**5 + 63*v**5 + (-3*v + 3*v**5 + 3*v)*(4 - 6 + 3). 68*v**5 Expand (-4*l**5 + 2*l**5 + 5*l**5)*(-3 + 4 + 1 + (-2 + 2 + 2)*(0 - 1 - 1) + 6 + 2 - 2)*(4 - 3 + 1 + (2 + 0 - 1)*(-5 + 3 + 4) + 4 - 4 - 1). 36*l**5 Expand 18*o**5 - 2*o**2 - 17*o**5 + 2*o - 2*o**2 + (6*o**4 - 3*o**4 - o**4)*(o + 1 - 1). 3*o**5 - 4*o**2 + 2*o Expand (-4*a + a + 4*a)*(583*a**2 + 80*a - 80*a). 583*a**3 Expand (-86*q + 86*q - 78*q)*(4 + 3 - 4) + (3 - 3 - 1)*(2*q - 5*q + 2*q). -233*q Expand ((-2*w**2 + 2*w**2 - 2*w**2)*(0*w - 2*w**2 + 0*w) + 2*w**4 - 3*w**4 + 2*w**4 - w**4 + 0 + 0)*(-2 - 541*w + 262*w - 455*w). -2936*w**5 - 8*w**4 Expand (-1 + 0 + 3)*(-16 + 18 + 4*l - 11). 8*l - 18 Expand (209 - 382 + 192 + 8*t)*(1 + 2 - 2). 8*t + 19 Expand (-40*s - 77 + 77)*(-2 + 2 - 2)*(-8 - 3 + 2). -720*s Expand 3*r**5 + 5*r**2 - 5*r**2 + (-425 + 425 - 4*r**3)*(-2 + 2 - r**2). 7*r**5 Expand 1 + 2*x - 1 + (-1 - 2 + 1)*(-4*x + x + x) + (3 - 1 + 0)*(3*x - 7*x + 2*x) + (20*x - 1740 + 1740)*(1 + 1 + 0). 42*x Expand (11*p - 8*p + 29*p)*(0*p - 4*p + p)*(157*p - 2 - 157*p - 5*p**2). 480*p**4 + 192*p**2 Expand (-3 + 5 - 7)*(2*t + 2*t**4 - 2*t) - 4*t + 304*t**4 + 4*t - 611*t**4. -317*t**4 Expand (3 - 1 - 3)*((v + 2*v - 6*v)*(-4 + 0 + 6) + 16*v - 2*v + 11*v - 2*v + 7*v - 3*v). -21*v Expand (-5*v**4 + 5*v**4 + 2*v**3 - v**4)*(-53 - 32*v - 44 + 98). 32*v**5 - 65*v**4 + 2*v**3 Expand ((0*i**2 - 2*i**2 + 4*i**2)*(5 - 3 - 3) + 0 + 0 - i**2 - 3*i**2 + 0*i**2 + i**2)*(-2*i**3 + 14*i**3 + 21*i**3). -165*i**5 Expand (1 - 4 + 2)*(-8*c + 4*c + 17*c) - 104 - c + 104 - 4*c - c + 4*c + (3 - 4 + 2)*(4*c - c - 4*c) + 3 - 3 + 2*c + 3*c - 2*c - 3*c. -16*c Expand (1242 + 5 - 728 + 1464)*(-1 - z + 1). -1983*z Expand r**5 + 3*r**5 - 2*r**5 + (3*r**5 + 0*r**5 - 5*r**5)*(-2 + 3 - 3) + 2*r**5 + 24056 - 24056. 8*r**5 Expand (-24*u**2 + u**2 + 2*u**2)*(6 + 3 - 2)*(-u**3 - u**3 + 0*u**3). 294*u**5 Expand (q + 0*q - 2*q)*(1 - 1 + 1)*(-35 - 35 + 48). 22*q Expand (-4 - 2*n + 4 - 4*n + 3*n + 0*n + (1 + 1 + 0)*(-2*n + 2*n + n))*(-24*n + 14*n + 36*n). -26*n**2 Expand (0*w + w - 3*w)*(-2*w + 5*w + w) - 63*w**2 + 100 - 100 + (1 - 3*w - 1)*(-w - 3 + 3). -68*w**2 Expand (0 + 4 - 2)*(0*x**5 - 2*x**5 + 0*x**5) + (19 - 8 - 9)*(5*x - x - 3*x)*(-3*x**4 - x**4 + 2*x**4) + (0 - 2*x**3 + 0)*(-1 + x**2 + 1). -10*x**5 Expand 3*a**5 - 2*a + a - a**5 + ((3*a - 7*a + 3*a)*(a - a - a**2) + 5*a**3 - 5*a**2 + 5*a**2 - 3*a**3 + 3*a**3 + a**3)*(4*a**2 - a**2 + 0*a**2). 23*a**5 - a Expand ((-28 + 25 - 64)*(2 + 0 + 0) + (-2 + 2 + 2)*(2 + 4 - 5) + 4 + 1 + 0)*(-1 + 1 - 1)*(-3*f + 5*f - 3*f). -127*f Expand -2 - 10*c**2 + 2 - 5*c**2 + 2*c + c**2 - 2*c + 3*c**2 + 3*c**2 - 5*c**2 + (-c - 2*c + c)*(-2*c + 0*c + c) - c**2 - 2*c**2 + 4*c**2. -10*c**2 Expand (-4*b**3 - 2*b**3 + 3*b**3)*(0*b + 2*b**2 + 5*b - 4*b - 6). -6*b**5 - 3*b**4 + 18*b**3 Expand (20 - 82 - 106)*(-6*v + 5*v + 3*v). -336*v Expand (0*n + 4*n - 15*n)*(-4*n**3 - n**3 + 3*n**3) + 23*n**4 + n**4 + 12*n**4. 58*n**4 Expand -636*f + 636*f - 2*f**5 - 740*f**2 - f**5 - f**5 + 0*f**5 - f**5 - f**5 + 4*f**5 + (0*f - f - f)*(0*f**4 - f**4 + 0*f**4) + f**2 - f**2 - f**5. -f**5 - 740*f**2 Expand (-1 - 3 + 5)*(2*k - 4*k + 3*k - k + 2*k + k + (0 - 4 + 3)*(2*k - 3 + 3) - 3*k + 5*k - 4*k - 3 - 3*k + 3)*(4*k**4 - 4*k**4 - 2*k**4). 8*k**5 Expand (7 - 2 - 4)*(-3 + 3 + 6*n)*(-2 - 2 + 2). -12*n Expand -104*z + 11954 - 11954 - 3*z + 3*z + 2*z + (5 - 4 + 1)*(4*z - 2*z + 0*z) - z + 4*z - 4*z + 2*z + 2*z - 2*z. -97*z Expand (12*g + 13 - 13 + (-1 - 1 - 1)*(3*g - 5*g + 4*g) - 2*g + g + 0*g - 2*g + 4*g + 0*g)*(2*g**2 - g**2 + 0*g**2). 7*g**3 Expand (44 - 36 + 95)*(2*h**2 - 2*h + 2*h) + 3*h**2 + 3*h**2 - 4*h**2. 208*h**2 Expand (197*o**2 - 10*o**2 - 18*o**2)*(-1 - o + 1)*(4*o - 4*o - 2*o). 338*o**4 Expand (-1 + 1 - d)*(3 - 2 - 4) + (-4*d + d - 2*d)*(-3 + 3 - 1)*(-1 + 1 + 6). 33*d Expand (-113 + 113 + 90*f)*(4*f**2 + 2*f**3 - 4*f**2) + (-2*f**2 - f**2 + 2*f**2)*(-4 - 2*f**2 + 4). 182*f**4 Expand -p**4 - 2*p**4 - 2*p**4 + (0*p + 4*p - 2*p)*(p**3 - p**3 + 2*p**3) - 14*p**4 + 34*p**4 + 44*p**4. 63*p**4 Expand (176*z**4 + 49*z**4 - 4*z**4)*(z - 5*z + 2*z). -442*z**5 Expand (-2*k**2 + k**2 + 12*k**2)*(-3 - 4 + 10). 33*k**2 Expand (-17 + 19 + 18)*(14*u - 569 + 569). 280*u Expand (2 - 4 - 3)*(-88*p - 148*p - 277*p - 28*p). 2705*p Expand (0*p**3 + 0*p**3 - p**3)*(-2*p + p**2 + 2*p + (-2*p - p**2 + 2*p)*(-6 + 1 + 3) + 52*p - 52*p + 5*p**2). -8*p**5 Expand (2 - 2 - 3*t)*(3 - 4 + 2 + (1 - 1 - 17)*(2 + 2 - 2))*(4 - 4 - 2)*(1 + 0 - 3). 396*t Expand (2 + 0 - 3)*(d - 4 + 4) + 0*d - 2*d + d - 17*d - 14*d + 133*d - 2*d - 2 + 2. 98*d Expand 2 - 1 + 0 + n**5 + (-n**3 + 2*n**2 - 2*n**2)*(-9*n**2 + 3*n**2 - 4*n**2) + (2 + 2*n**4 - 2)*(-n - 4*n + 3*n). 7*n**5 + 1 Expand -9*o**2 + 2*o**3 + 9*o**2 + (-21*o - 8*o + 10*o)*(-3*o**2 + 0*o**2 + o**2). 40*o**3 Expand (-i**4 + 2*i**4 + 0*i**4)*(552 + 77 + 140). 769*i**4 Expand (-1 + 4 + 6)*(8*t + 5*t - 4*t). 81*t Expand (4*j - 7*j + j + (-6*j + 4*j + 4*j)*(-3 - 2 + 7) + 1 - 1 + 3*j)*(-4 + 0 + 3). -5*j Expand ((3*h**2 - 6*h**2 - 2*h**2)*(-3*h + 0*h + 5*h) + 2*h**3 - h**3 + 5*h**3)*(6 - 4 + 1)*(3*h + 0*h - h). -24*h**4 Expand (-3*c + 2*c - c)*(0 + 2 + 0)*(2*c**2 + 3*c**2 + 2*c**2). -28*c**3 Expand (2414 + 2102 - 5305)*(1 - 1 + 3*u**5). -2367*u**5 Expand (-3191*d**2 - 208*d**4 + 3191*d**2)*(2 + 2 - 6). 416*d**4 Expand (-1044 + 484 - 827)*(-2*p - 2*p + 2*p). 2774*p Expand (q**2 + 0*q**2 - 3*q**2 + (-1 + 0 - 1)*(0*q**2 + 0*q**2 + 4*q**2))*(6*q - 6*q + 3*q**2). -30*q**4 Expand (2*w**2 - w**2 + w**2)*(3*w + 3*w - 4*w) + 2*w**3 - w**3 + 0*w**3 + (0*w**2 + w**2 + w**2)*(0 - w + 0). 3*w**3 Expand ((-1 + 2 + 1)*(2 - 2 + 2) + 2 + 13 + 3)*(3*q + q - 3*q)*(-1 + 1 + q)*(1 - 6 + 4). -22*q**2 Expand (-2*j**3 + 2 - 2)*(-2 + 1 + 3) + 2*j**3 + 3*j - 3*j + (-2*j - 1 + 1)*(2*j**2 + 5*j**2 - 8*j**2) - 529*j**2 + 529*j**2 - 16*j**3. -16*j**3 Expand (-z**4 - 2*z + 2*z)*(-58 + 143 + 47)*(1 - 1 - 2*z). 264*z**5 Expand (1 - 2 + 5)*(-3*w + 0*w + 0*w)*(13 + 10 - 2). -252*w Expand -3*a**4 - a**4 + 2*a**4 + (-2 + 5 - 1)*(2*a**4 + 0*a**4 - 3*a**4) + 84*a**4 + 90*a**4 - 23*a**4. 147*a**4 Expand (-7*u + 18*u - 2*u)*(0 - 2 + 1)*(2*u**4 - 5*u**2 + 5*u**2). -18*u**5 Expand (7 - 4*d - 7)*(-2339 + 2339 + 59*d) - 2*d**2 + 2*d**2 - d**2. -237*d**2 Expand 4*w - 3*w + 0*w + (3 + w - 3)*(0 - 2 + 0) + w + 4*w - w - 54*w + 30*w + 5*w - 4*w + 3*w + 0*w. -17*w Expand 4*b**4 - 3*b**5 - 4*b**4 + 0 - b**5 + 0 + (0*b**2 - 4*b**2 + 5*b**2)*(-b**3 + b**2 - b**2) + 35*b**3 - 35*b**3 - 23*b**5. -28*b**5 Expand (9*c + 4*c - 3*c)*(-4*c - 3*c + 4*c) + c**2 - 3*c**2 + 0*c**2 + (0*c**2 - 2*c**2 + c**2)*(2 + 4 - 4) + 3*c**2 - c**2 + c**2. -31*c**2 Expand (4*a**2 + 3*a**2 - 3*a**2)*(-6*a + 13*a + 0*a - 3). 28*a**3 - 12*a**2 Expand -42*z + 11*z + 7*z + (-3 - 1 + 2)*(4*z + 3*z - 3*z). -32*z Expand (4 + 3 + 4)*(-1 + 1 - 2)*(33*y**3 - 1269*y**2 + 1269*y**2). -726*y**3 Expand (1 + 2 - 1 + (16 - 2 - 1)*(6 - 3 + 0))*(9*o + 10*o - 5*o) - 3 + 3 - 2*o. 572*o Expand -2*l**2 + 40*l + 35*l**2 - 29*l**2 + 0*l**2 - 2*l**2 + l**2 + l**2 - 2*l**2 + 0*l**2 + (0 + 0 - l)*(2 - 2 + l) - 3*l**2 + 3*l**2 - 2*l**2. -l**2 + 40*l Expand (-3*q + 7 - 7)*(-q - q + q) + (-67*q + 16*q + 32*q)*(3*q + 5*q - 4*q). -73*q**2 Expand -10*j**4 - 3*j**4 - 9*j**4 + (2*j**2 + 0*j**2 - 3*j**2)*(-2*j**2 + j - j) - j - 2*j**4 + j. -22*j**4 Expand 2 - 2 - 2*m**2 + (5*m + 5*m + m)*(0*m - 8*m + 0*m). -90*m**2 Expand (k**4 - 2*k**4 - k**4)*(42 - 22 + 5). -50*k**4 Expand 3*g**2 + 2*g + 0 + 2 - 2*g**2 + 12*g**2 + 28*g - 2
{ "pile_set_name": "DM Mathematics" }
8*u - 28 for u. -3 Solve -14*y = 2329 - 2315 for y. -1 Solve 30*u + 30 = 15*u for u. -2 Solve -6*j = -92 + 50 for j. 7 Solve -15 + 39 = 8*l for l. 3 Solve -10*x - 9*x - 19 = 0 for x. -1 Solve 0 = 14*p - 9*p - 10 for p. 2 Solve -17 + 17 = 5*t for t. 0 Solve -16 - 30 = 23*r for r. -2 Solve -1 = -61*m + 62*m for m. -1 Solve 6 = -2*m - m for m. -2 Solve 3*w = -48 + 51 for w. 1 Solve -59*o = -588 - 2 for o. 10 Solve -62*v + 52 = -444 for v. 8 Solve -12*v + 8 = -16*v for v. -2 Solve -342*r - 50 = -352*r for r. 5 Solve 6*a - 15*a + 9 = 0 for a. 1 Solve 0 = 2*a - 2451 + 2445 for a. 3 Solve -3*z + z - 3*z = 0 for z. 0 Solve -28*p + 12 = -40*p for p. -1 Solve -22 = -u - 18 for u. 4 Solve -20*c + 17*c - 3 = 0 for c. -1 Solve -2*y = -3*y - 2*y for y. 0 Solve 0 = -7*y - 39*y + 92 for y. 2 Solve 375 = -20*c + 275 for c. -5 Solve 58 - 157 = 33*o for o. -3 Solve -3*c - 5 = 2*c for c. -1 Solve 5*y + 0*y + y = 0 for y. 0 Solve 66*p - 32*p = -68 for p. -2 Solve -6*u = -5*u + 5*u for u. 0 Solve 9 = -13*u + 35 for u. 2 Solve 21*g - 476 = -413 for g. 3 Solve 0 = -115*z + 310 - 80 for z. 2 Solve 0 = -21*w + 18*w - 6 for w. -2 Solve -3*g + 50 - 56 = 0 for g. -2 Solve 190*w - 184*w + 30 = 0 for w. -5 Solve -3201*r + 3191*r = -100 for r. 10 Solve 5*s - 19*s = -14 for s. 1 Solve 6*d = -d for d. 0 Solve 0 = 9*s + 43 - 7 for s. -4 Solve 20*z = 27*z + 35 for z. -5 Solve -382*u + 391*u - 18 = 0 for u. 2 Solve 0 = -8*q + 12*q - 8 for q. 2 Solve -26*s = 25*s for s. 0 Solve 26*r + 100 = r for r. -4 Solve -14*f + 49*f + 70 = 0 for f. -2 Solve 48*w - 49*w = 6 for w. -6 Solve 0 = 2*i - 76 + 82 for i. -3 Solve -15 + 3 = -3*x for x. 4 Solve -49*b = -149*b - 100 for b. -1 Solve -9*y + 12*y + 6 = 0 for y. -2 Solve -33*m - 276 = 13*m for m. -6 Solve 4*d = 239 - 227 for d. 3 Solve 0 = 4*c + 8*c - 24 for c. 2 Solve -42*i + 14*i = 224 for i. -8 Solve -18*z - 9*z - 54 = 0 for z. -2 Solve 40 = -27*i + 19*i for i. -5 Solve 12 = -10*f - 68 for f. -8 Solve -3*s - s - 12 = 0 for s. -3 Solve 22*n - 22 - 66 = 0 for n. 4 Solve 5*x + 88 = 78 for x. -2 Solve -2459*w = -2454*w + 35 for w. -7 Solve -38*t - 27 = 11 for t. -1 Solve 13*u + 7 = -110 for u. -9 Solve 5*v + 16 = -9 for v. -5 Solve -5*w + 6*w = 1 for w. 1 Solve -20 = 46*l - 41*l for l. -4 Solve 0 = 8*j + 74 - 98 for j. 3 Solve 0 = n - 94 + 99 for n. -5 Solve 7*v - 141 + 99 = 0 for v. 6 Solve -11*k = -15*k - 12 for k. -3 Solve 41*i + 26 = 67*i for i. 1 Solve 3*o = 7*o + 6*o for o. 0 Solve v = -15 + 18 for v. 3 Solve -16 - 14 = -6*v for v. 5 Solve -21 = 2*b - 17 for b. -2 Solve 11*a - 9 + 20 = 0 for a. -1 Solve 37 = 11*x - 18 for x. 5 Solve -8*t + 24 = -0*t for t. 3 Solve 1 + 24 = 5*b for b. 5 Solve -29*i + 1 = -30*i for i. -1 Solve 393*k - 392*k = -5 for k. -5 Solve 101*q = 94*q + 21 for q. 3 Solve 62 = 2*v + 62 for v. 0 Solve 726*j + 72 = 717*j for j. -8 Solve 3*p - 4*p + 3 = 0 for p. 3 Solve 0 = 6*p - 7*p + 2 for p. 2 Solve 8*i + 27 = 17*i for i. 3 Solve -47*f = -46*f + 2 for f. -2 Solve 35*f - 53*f - 18 = 0 for f. -1 Solve 0*s - 25 = -5*s for s. 5 Solve 0 = -3*v - 30*v - 231 for v. -7 Solve -p + 5 = -0 for p. 5 Solve 13*g - 34 = 5 for g. 3 Solve 19*p + 165 - 184 = 0 for p. 1 Solve 18*c - 44 = 7*c for c. 4 Solve 0 = -9*m + 7 + 38 for m. 5 Solve 67*w - 59*w + 16 = 0 for w. -2 Solve -672*m + 652*m = -180 for m. 9 Solve 24*b - 6 = 30*b for b. -1 Solve 0 = -14*p - 132 + 76 for p. -4 Solve 0 = -3*i + i + 7*i for i. 0 Solve -31*q - 15 = 16 for q. -1 Solve -8*w + 126 = 13*w for w. 6 Solve -116*o + 117*o - 4 = 0 for o. 4 Solve 0 = -44*i - 62*i + 848 for i. 8 Solve -5 = 4*k + 11 for k. -4 Solve 5*l + 90 = 65 for l. -5 Solve 16 = 8*t + 40 for t. -3 Solve -48*b = -22*b - 26 for b. 1 Solve 0*n - 2*n = -8 for n. 4 Solve -166 - 19 = -37*m for m. 5 Solve 2*m - 4 = -4 for m. 0 Solve -4*s + 23 - 7 = 0 for s. 4 Solve 24*f - 10*f = 14 for f. 1 Solve 0 = -91*q + 80*q - 66 for q. -6 Solve 11*p - 2*p = -45 for p. -5 Solve -2*m - 2*m + 4 = 0 for m. 1 Solve 0*a - 2 = 2*a for a. -1 Solve -3*r - 25 + 40 = 0 for r. 5 Solve 54*j + 2*j + 392 = 0 for j. -7 Solve -393 = 8*i - 337 for i. -7 Solve 1 + 3 = -f for f. -4 Solve -l - 1327 + 1326 = 0 for l. -1 Solve -17*o + 5 + 46 = 0 for o. 3 Solve 0 = 7*f - 1437 + 1479 for f. -6 Solve 17*u - 3*u + 56 = 0 for u. -4 Solve 6*t = 16 - 10 for t. 1 Solve -2*h - 20 = -10 for h. -5 Solve -17*f - 12 + 63 = 0 for f. 3 Solve -6 = -4*y - 2 for y. 1 Solve -60*d = -32*d + 112 for d. -4 Solve -116*n - 12 = -112*n for n. -3 Solve -75 = -18*t - 75 for t. 0 Solve -62*h - 41 = 145 for h. -3 Solve 12*d + 13 - 37 = 0 for d. 2 Solve -3*t + 0*t = 6 for t. -2 Solve 3*x - 617 = -608 for x. 3 Solve -5*b - 5 = -5 for b. 0 Solve -36 = -12*x + 72 for x. 9 Solve 2*x - 3*x = 1 for x. -1 Solve 4*v + 14 = 22 for v. 2 Solve 2*p + 8 = -2*p for p. -2 Solve 8*l = 4 - 68 for l. -8 Solve 18*f - 47*f - 58 = 0 for f. -2 Solve 9*t = 5*t - 4 for t. -1 Solve -2 + 3 = r for r. 1 Solve 0 = 32*k - 39*k - 35 for k. -5 Solve 0 = -45*i + 19 - 154 for i. -3 Solve -18 = 3*r + 3*r for r. -3 Solve 38*w = 85*w - 376 for w. 8 Solve -3*l + 0*l = -6 for l. 2 Solve 5*p + 57 = 42 for p. -3 Solve 61 = 10*a + 31 for a. 3 Solve -62*c + 31*c - 31 = 0 for c. -1 Solve -53 = -5*w - 68 for w. -3 Solve -97*i + 104*i - 7 = 0 for i. 1 Solve -13*u = -9 - 56 for u. 5 Solve 45*p + 35*p = -240 for p. -3 Solve 35 = 185*b - 178*b for b. 5 Solve 16*o + 9 = 13*o for o. -3 Solve 22*x = -90 - 108 for x. -9 Solve -4*c - 10 = -14 for c. 1 Solve 5*z + 17 = 32 for z. 3 Solve -59*l - 212 - 142 = 0 for l. -6 Solve -45*w + 42*w = 6 for w. -2 Solve 5*l = 2*l - 3 for l. -1 Solve -10*r + 18 = -4*r for r. 3 Solve -689*f = -671*f - 72 for f. 4 Solve 2*m = 5*m + 6 for m. -2 Solve -11 = 9*s + 7 for s. -2 Solve 594 = 16*k + 610 for k. -1 Solve 0 = 78*g + 44*g + 122 for g. -1 Solve -12*w = -6*w - 6 for w. 1 Solve -g - 166 = -169 for g. 3 Solve -13*v - 38 = 6*v for v. -2 Solve -5*z - 188 = -173 for z. -3 Solve 9*r = 10*r for r. 0 Solve 0 = 3*b - 2 - 7 for b. 3 Solve 0 = 4*d + 1 + 3 for d. -1 Solve 6*a + 23 - 11 = 0 for a. -2 Solve 20 = 13*t + 33 for t. -1 Solve 21*y = -11 + 74 for y. 3 Solve 8*u - 2*u = -6 for u. -1 Solve 0 = 7*x - 9*x - 4 for x. -2 Solve 0 = -4*z + 1 - 13 for z. -3 Solve 55*l - 11 + 121 = 0 for l. -2 Solve 9*t = 132 - 186 for t. -6 Solve 0 = 5*z - 68 + 73 for z. -1 Solve -4*l - 384 = -52*l for l. 8 Solve 143*r - 4*r = -1390 for r. -10 Solve -4*s + 16 = 36 for s. -5 Solve 14*i = 8*i - 30 for i. -5 Solve 5*l = 540 - 515 for l. 5 Solve 12*k + 3 = 9*k for k. -1 Solve 157 - 669 = -64*b for b. 8 Solve -h - 14 + 19 = 0 for h. 5 Solve 53*g - 51*g = -12 for g. -6 Solve x = 12*x + 44 for x. -4 Solve -u + 12*u = -11 for u. -1 Solve -10*o = -2*o - 32 for o. 4 Solve 42*d - 39*d = -3 for d. -1 Solve -19 = 15*c - 34 for c. 1 Solve 0 = p + 4*p + 25 for p. -5 Solve 72*k - 76*k - 16 = 0 for k. -4 Solve -21*n = -18*n for n. 0 Solve -23*l - 127 = -81 for l. -2 Solve 4*g - 1039 = -1051 for g. -3 Solve 10*g - 10 = -0*g for g. 1 Solve 150*j - 30 = 156*j for j. -5 Solve 43*b - 12 = 203 for b. 5 Solve 18 = 14*k - 5*k for k. 2 Solve -793*u - 11 = -782*u for u. -1 Solve 5*x + 6*x = 2*x for x. 0 Solve 21*r - 156 + 93 = 0 for r. 3 Solve 0 = 13*j - 0 for j. 0 Solve -12*w - 6 - 6 = 0 for w. -1 Solve -12 = -16*g + 20 for g. 2 Solve 18 = -22*w - 92 for w. -5 Solve -22*t - 78 - 10 = 0 for t. -4 Solve -29*y - 83 + 25 = 0 for y. -2 Solve -1 = -5*b + 14 for b. 3 Solve -68 = 54*n - 122*n for n. 1 Solve -8 = -7*t - 1 for t. 1 Solve 0 = -6*o + 10*o + 20 for o. -5 Solve 0 = -3*f - 33 + 18 for f. -5 Solve 26*p - 34*p - 24 = 0 for p. -3 Solve 0 = -6*o - 11 - 13 for o. -4 Solve 0 = 25*n - 29*n for n. 0 Solve -108 = 2*k - 106 for k. -1 Solve -n = -4 + 7 for n. -3 Solve z - 27 = -31 for z. -4 Solve 7*z + 20 = -15 for z. -5 Solve 15*d = 10*d + 25 for d. 5 Solve -250 = 22*x - 30 for x. -10 Solve -5*f = -8*f - 3 for f. -1 Solve -36 = -2818*a + 2812*a for a. 6 Solve -36*d = -147 - 213 for d. 10 Solve 0 = 2*v + 11*v + 26 for v. -2 Solve -3 = -4*x - 23 for x. -5 Solve -114*h - 20*h = -268 for h. 2 Solve 0 = 5*f + 3*f + 8 for f. -1 Solve 16*t - 1550 + 1438 = 0 for t. 7 Solve 0 = 3*j + 5 + 1 for j. -2 Solve 141*x = 152*x + 44 for x. -4 Solve 11 = -2*m + 3 for m. -4 Solve -19*m - 10 = 85 for m. -5 Solve -25*r = 7*r - 32 for r. 1 Solve -24*u = -20*u - 28
{ "pile_set_name": "DM Mathematics" }
the second smallest value? (a) 54 (b) -2/559 (c) -100 (d) 5 b What is the third smallest value in 0.8, 22810, 8/9, -2/7? 8/9 What is the fourth smallest value in 1, -4/7, -5/86, 0.4, 30, 5/2? 1 What is the biggest value in -28, 0.05, 1/4, -123, 4, -5, 0.5? 4 Which is the biggest value? (a) 3 (b) 2/7 (c) -4 (d) -285 (e) -99 (f) -0.3 a Which is the smallest value? (a) 149252 (b) -4 (c) -3/55 b What is the third biggest value in 6973.5, 98, 5, 0.2? 5 What is the third smallest value in -69, 17, -2, 2, -0.59? -0.59 What is the second biggest value in -17, 12, -129/4, -13? -13 Which is the third biggest value? (a) 169 (b) 28664 (c) -2/7 c What is the sixth smallest value in -0.5, -3, 29/17, -2/9, 0.0893, 3/2? 29/17 Which is the third biggest value? (a) 0 (b) -3/19 (c) 314.257 b What is the third smallest value in 0, -189053, -0.3, -0.09? -0.09 What is the seventh smallest value in -0.4, -5, 1/4, 0.5, -17, 7, 281? 281 Which is the fifth biggest value? (a) -2/11 (b) -5 (c) 0 (d) -3/20 (e) -4 (f) -3185 b What is the second smallest value in -102/29, -45, 35? -102/29 Which is the biggest value? (a) -5 (b) -1/4 (c) -1860728 (d) -1 b Which is the third biggest value? (a) -8 (b) -0.3 (c) -845816 c Which is the fourth smallest value? (a) 27.4503 (b) 3/2 (c) 4 (d) 5/4 a Which is the third biggest value? (a) -1601 (b) -0.1 (c) 3636/11 a What is the fourth biggest value in -4, -0.07, 2, 227/6236? -4 What is the fourth biggest value in 0.2, 0.3, 7, -0.2, -4, 2/259, 1/53? 1/53 What is the biggest value in 1.941, -1/174, 7? 7 What is the fourth smallest value in 5, 4, 16, -38, 131, -0.5? 5 What is the second biggest value in 199, 26, -1, -0.2, 2/7? 26 Which is the fourth smallest value? (a) 0.04107 (b) -4 (c) -15 (d) 198 d Which is the fifth biggest value? (a) -0.0991173 (b) 3/2 (c) -4 (d) 6/5 (e) -3 c What is the second smallest value in 0.7, 3, -20/11, -0.8, -0.027? -0.8 Which is the fifth smallest value? (a) -8/499 (b) -0.06 (c) -3 (d) -3/4 (e) 50 (f) 2 f Which is the biggest value? (a) 0.00181 (b) -1/25 (c) 0.31 c What is the smallest value in 0.73, -3/8, -0.5, -4, 4, -20.8? -20.8 What is the second biggest value in 2/11, 2691, 0.5, 0.06? 0.5 What is the biggest value in -0.7, 0.0437, -9? 0.0437 Which is the second biggest value? (a) -0.3 (b) -1/242 (c) 1038 (d) 2/13 (e) -0.08 (f) 3 f Which is the smallest value? (a) 0.24 (b) -0.2869 (c) 0.124 b Which is the second smallest value? (a) 3 (b) 5 (c) -3 (d) -17720 (e) 2/15 (f) 1 c Which is the third smallest value? (a) 1/5 (b) -4 (c) -0.1 (d) 3 (e) 5 (f) -1080 c What is the fourth biggest value in 160, -9, -3, -1/4, 37, -2/3? -2/3 What is the fourth smallest value in -3.7, -19, 0.2, 1634, -2? 0.2 What is the fourth biggest value in 9, -0.2, 1.337, -0.4? -0.4 What is the third biggest value in -627, 10.78, -1/6, 9? -1/6 Which is the third smallest value? (a) -1.5 (b) 161 (c) -11/2 (d) -3 (e) -2/9 (f) -1/6 a Which is the sixth biggest value? (a) -5 (b) 1/3 (c) 3 (d) -37 (e) 0 (f) 0.04 d What is the fourth smallest value in 5, 10, -1.91, -3/13? 10 What is the smallest value in 41/4, 0.16, 166, 2, -0.03, 0.3? -0.03 What is the second smallest value in -1/5, -1561, 3/4, -35, -5, -1? -35 Which is the third biggest value? (a) -4 (b) 2/169 (c) -3 (d) 1986 (e) -60 c What is the second biggest value in -5, 4, -15, -0.5, 0.78016? 0.78016 Which is the smallest value? (a) -41.5 (b) 1/4 (c) 0.7 (d) -0.1 (e) -62 (f) -3/2 e What is the second smallest value in 4, -1, -0.4, 0.3, -93, 0, 5896? -1 What is the third biggest value in 132, -539, 771? -539 Which is the smallest value? (a) 3 (b) 32 (c) 4/7 (d) -0.03 (e) -0.5 (f) 0.2 e What is the fourth smallest value in -1/8, -4, -0.022, -2, -15, -1? -1 Which is the smallest value? (a) -196 (b) -151 (c) -11.6 a Which is the sixth biggest value? (a) -1/13 (b) -0.05 (c) -8 (d) 174/17 (e) 6 (f) 2 c What is the fourth biggest value in -0.11, 384, -0.1, -4.507? -4.507 What is the third smallest value in -0.3, -7, 0.2, 4718/5, 4, -0.7, 1? -0.3 Which is the fourth smallest value? (a) 86945 (b) -2/7 (c) -1/7 (d) 0.2 (e) 3 (f) -4 d What is the sixth biggest value in -1, 0.5, -0.9, 0.4, 2, 1/3, -159? -1 Which is the fourth biggest value? (a) -2/5 (b) -144.9 (c) -68 (d) -2 (e) -231/4 (f) 4 e Which is the fourth smallest value? (a) 4 (b) 38409 (c) -0.5 (d) 2/5 (e) 2/3 (f) 3 f What is the second smallest value in -2.9, -197, -1869, -0.2? -197 Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 93.3247 (d) 1/4 b Which is the smallest value? (a) -5/6 (b) -3 (c) -1/233 (d) -0.2 (e) 0.166 b Which is the third smallest value? (a) 3 (b) -21.8 (c) -83/2467 a What is the fourth smallest value in -4, 0, 1/15, -1/6, -22931? 0 What is the sixth biggest value in -1, -4, 12, -1063, 3, 1, 2? -4 What is the fifth smallest value in -173, -79, 6, 0.2, -4/9, -2? 0.2 What is the smallest value in 1/3, -0.4, -5, 5, -4, 2/3, -767? -767 Which is the second biggest value? (a) 3 (b) -164 (c) -2/9 (d) -22/299 d Which is the third smallest value? (a) 20206/3 (b) -0.3 (c) -1 a Which is the third biggest value? (a) -2/13 (b) 0 (c) 173/2 (d) 89 (e) -4/7 b Which is the fourth biggest value? (a) 6502 (b) 3 (c) 0.006 (d) -4 d Which is the second smallest value? (a) -1 (b) 46 (c) 0 (d) 78 (e) 0.006 c Which is the third biggest value? (a) -213 (b) -98/29 (c) -33 a What is the smallest value in -3, 3/4, -2, 13, 2/7, -25, 4/95? -25 What is the fifth smallest value in -0.1, 2/17, -2, 5, 6894? 6894 Which is the third smallest value? (a) -2610 (b) -2/93 (c) 0.026 (d) 0 d Which is the smallest value? (a) 4.8 (b) -1 (c) 2.171741 b Which is the fourth smallest value? (a) -23 (b) -2/15 (c) 2 (d) -0.2221 (e) -1 (f) -2/3 d Which is the second smallest value? (a) 2012 (b) -187 (c) 0 c What is the third biggest value in 0, -5/6, 1.7, 0.03, 98? 0.03 Which is the smallest value? (a) 6/5 (b) -9/7 (c) 282 (d) -4 (e) -2/9 d Which is the smallest value? (a) -1 (b) -162 (c) 1086 (d) 0.2 b What is the second biggest value in -197/3, 0.1, 0, 1, -2, 5, -307? 1 What is the second biggest value in 1, 0.2, 5/254, -253, 0.3, -2? 0.3 What is the sixth smallest value in 1, 2, 500, -1/5, -4/5, -5? 500 What is the biggest value in -4, -276.25, -3, -11/3, 5? 5 Which is the second biggest value? (a) -2773 (b) -0.0839 (c) 4 b Which is the fourth biggest value? (a) -30 (b) 2/19 (c) -4 (d) 5 (e) 1/6 (f) 2 b Which is the third smallest value? (a) -0.07 (b) -1.26 (c) -7936/7 (d) -2/15 d What is the sixth biggest value in 1/8, 228979, -0.9, 0.5, 5, -5? -5 What is the fourth biggest value in 0.5, -0.0041, 1, 0, -3133? -0.0041 What is the fourth biggest value in 42, -1/2, 3/4, 93278? -1/2 Which is the third smallest value? (a) 3 (b) -67 (c) -1.6457 (d) -0.4 (e) -3 (f) 0.4 (g) 0.5 c Which is the second smallest value? (a) -0.1 (b) 150687 (c) 1/3 (d) -4/5 (e) 2/3 a Which is the fifth smallest value? (a) -5 (b) 53 (c) 0.5 (d) -0.374 (e) -1 (f) -3/5 c What is the third biggest value in -2/9, -0.3, 5, -2260, -89? -0.3 What is the second smallest value in 16, 24, -2/17, -37, -0.1? -2/17 Which is the second smallest value? (a) 0.5 (b) -6/23 (c) 705/7 (d) 1/115 d What is the second smallest value in 2/23, -0.6, -8/5, -0.3, 0.0648? -0.6 Which is the seventh smallest value? (a) -3/10 (b) 23 (c) -1/4 (d) -21/2 (e) 0.1 (f) -33 (g) -0.1 b What is the fifth biggest value in -2, -5, -4, -63328, 2, -2/13, 1/2? -4 What is the seventh smallest value in -5, -6, -48/17, 0.3, 4, -0.1, 0.11? 4 What is the third biggest value in -1/105, -1, 0.2866, 2/25, 1/3, 2? 0.2866 What is the biggest value in 22450, 0.1, 4, -5, 0.05? 22450 What is the second smallest value in 5, -2, -4/35, 4, -4, -1/58, 1.21? -2 Which is the smallest value? (a) -194 (b) -1/5 (c) -2/5 (d) -0.09 (e) -6 (f) 1/25 a What is the smallest value in 107, 71, 421? 71 Which is the fourth biggest value? (a) -1 (b) 2 (c) 7641690 (d) -5 (e) -2/5 a Which is the fifth biggest value? (a) -15 (b) 10 (c) 32 (d) 2/15 (e) 2/17 a Which is the third smallest value? (a) 4/7 (b) 7/145 (c)
{ "pile_set_name": "DM Mathematics" }
hat is the b'th term of 55631, 111423, 167215? 55792*b - 161 What is the d'th term of -2010758, -4021496, -6032234, -8042972, -10053710, -12064448? -2010738*d - 20 What is the n'th term of 83, -3912, -7907, -11902? -3995*n + 4078 What is the z'th term of -1219, -1036, -803, -520, -187? 25*z**2 + 108*z - 1352 What is the m'th term of -1177, -4898, -11099, -19786, -30965, -44642, -60823? -m**3 - 1234*m**2 - 12*m + 70 What is the b'th term of -17797, -17864, -17951, -18040, -18113, -18152, -18139? 3*b**3 - 28*b**2 - 4*b - 17768 What is the b'th term of -69, -282, -589, -960, -1365, -1774, -2157, -2484? 5*b**3 - 77*b**2 - 17*b + 20 What is the x'th term of -6733, -13509, -20289, -27061, -33813, -40533, -47209, -53829? 2*x**3 - 14*x**2 - 6748*x + 27 What is the r'th term of -930712, -1861421, -2792130, -3722839, -4653548? -930709*r - 3 What is the t'th term of 1880516, 3761033, 5641550, 7522067? 1880517*t - 1 What is the q'th term of 63338, 118108, 172886, 227678, 282490, 337328? q**3 - 2*q**2 + 54769*q + 8570 What is the i'th term of 102, 208, 142, -180, -842? -14*i**3 - 2*i**2 + 210*i - 92 What is the t'th term of 415937774, 415937773, 415937772? -t + 415937775 What is the t'th term of -275316, -278130, -282812, -289356, -297756, -308006, -320100? t**3 - 940*t**2 - t - 274376 What is the j'th term of 2085, 16674, 56311, 133542, 260913? 2091*j**3 - 22*j**2 + 18*j - 2 What is the z'th term of 19864, 21105, 22346? 1241*z + 18623 What is the c'th term of 237257, 232072, 226897, 221738, 216601, 211492? c**3 - c**2 - 5189*c + 242446 What is the p'th term of -21469, -44035, -66605, -89179, -111757, -134339? -2*p**2 - 22560*p + 1093 What is the j'th term of 93490, 86110, 78732, 71356, 63982, 56610, 49240? j**2 - 7383*j + 100872 What is the y'th term of -19777, -39459, -59143, -78835, -98541, -118267, -138019? -y**3 + 5*y**2 - 19690*y - 91 What is the v'th term of -284716126, -569432253, -854148380, -1138864507? -284716127*v + 1 What is the j'th term of -60362, -121116, -181870, -242624? -60754*j + 392 What is the g'th term of 186927, 186870, 186827, 186804, 186807, 186842, 186915? g**3 + g**2 - 67*g + 186992 What is the p'th term of -2838737, -11354940, -25548617, -45419774, -70968417, -102194552? -p**3 - 2838731*p**2 - 3*p - 2 What is the q'th term of 51955, 52749, 54077, 55945, 58359, 61325, 64849? q**3 + 261*q**2 + 4*q + 51689 What is the w'th term of -1561, -4803, -9721, -16315? -838*w**2 - 728*w + 5 What is the c'th term of 173435919, 173435921, 173435923, 173435925, 173435927, 173435929? 2*c + 173435917 What is the n'th term of -10330, -41379, -93158, -165667? -10365*n**2 + 46*n - 11 What is the q'th term of 1070, 549, -346, -1615? -187*q**2 + 40*q + 1217 What is the y'th term of 16813, 33612, 50361, 67036, 83613, 100068? -4*y**3 - y**2 + 16830*y - 12 What is the m'th term of -2318, -11938, -27978, -50444, -79342, -114678, -156458? -m**3 - 3204*m**2 - m + 888 What is the u'th term of 152987, 152601, 152215, 151829, 151443? -386*u + 153373 What is the c'th term of -25166720, -25166719, -25166718? c - 25166721 What is the p'th term of -57575, -115747, -173907, -232049, -290167, -348255, -406307? p**3 - 58179*p + 603 What is the p'th term of -4810602, -4810604, -4810606, -4810608, -4810610, -4810612? -2*p - 4810600 What is the w'th term of 390151, 390445, 390787, 391201, 391711, 392341, 393115, 394057? 4*w**3 + 266*w + 389881 What is the g'th term of -223361, -893521, -2010489, -3574265, -5584849, -8042241, -10946441? -223404*g**2 + 52*g - 9 What is the q'th term of -3725097, -7450206, -11175313, -14900418? q**2 - 3725112*q + 14 What is the k'th term of 42979, 41100, 37969, 33586, 27951? -626*k**2 - k + 43606 What is the i'th term of 57486, 60665, 63842, 67017, 70190, 73361? -i**2 + 3182*i + 54305 What is the x'th term of 32400, 66448, 103810, 146142, 195100, 252340, 319518, 398290? 276*x**3 + x**2 + 32113*x + 10 What is the w'th term of -12353039, -12353069, -12353119, -12353189? -10*w**2 - 12353029 What is the c'th term of 83761, 167539, 251317, 335095, 418873? 83778*c - 17 What is the p'th term of 652, 2819, 6394, 11383, 17792, 25627? p**3 + 698*p**2 + 66*p - 113 What is the i'th term of 94026, 188896, 284610, 381168? 422*i**2 + 93604*i What is the d'th term of -91134, -182359, -273598, -364857, -456142? -d**3 - d**2 - 91215*d + 83 What is the w'th term of 51007, 101979, 152951, 203923, 254895? 50972*w + 35 What is the w'th term of 109112579, 109112578, 109112577, 109112576, 109112575, 109112574? -w + 109112580 What is the q'th term of -4252, -394, 6036, 15038, 26612, 40758, 57476? 1286*q**2 - 5538 What is the j'th term of 2301, 2311, 2351, 2439, 2593, 2831, 3171, 3631? 3*j**3 - 3*j**2 - 2*j + 2303 What is the s'th term of 11252, 14150, 17050, 19952, 22856? s**2 + 2895*s + 8356 What is the t'th term of 7077, 13775, 20469, 27159? -2*t**2 + 6704*t + 375 What is the v'th term of -636826, -1273658, -1910490? -636832*v + 6 What is the f'th term of -1663, -13564, -45945, -109048, -213115, -368388, -585109? -1707*f**3 + 2*f**2 + 42*f What is the m'th term of -53527, -53554, -53581, -53608, -53635, -53662? -27*m - 53500 What is the s'th term of -21888, -43842, -65798, -87756, -109716, -131678? -s**2 - 21951*s + 64 What is the q'th term of -132, 265, 1728, 4785, 9964, 17793? 88*q**3 + 5*q**2 - 234*q + 9 What is the q'th term of -1489048, -2978093, -4467138? -1489045*q - 3 What is the z'th term of 3162, 2798, 2180, 1302, 158, -1258, -2952? -z**3 - 121*z**2 + 6*z + 3278 What is the g'th term of -72013, -143135, -214257? -71122*g - 891 What is the t'th term of -4352136, -4352139, -4352142, -4352145, -4352148, -4352151? -3*t - 4352133 What is the h'th term of -310508, -620979, -931402, -1241759, -1552032, -1862203? 3*h**3 + 6*h**2 - 310510*h - 7 What is the f'th term of -20149886, -20149894, -20149902, -20149910? -8*f - 20149878 What is the s'th term of 3111, 12337, 27669, 49107, 76651, 110301, 150057? 3053*s**2 + 67*s - 9 What is the m'th term of 139613, 139644, 139691, 139754, 139833, 139928, 140039? 8*m**2 + 7*m + 139598 What is the r'th term of -1021, -757, -331, 257? 81*r**2 + 21*r - 1123 What is the z'th term of -408, 1237, 2882? 1645*z - 2053 What is the o'th term of 66983, 133972, 200961? 66989*o - 6 What is the r'th term of 38869, 40188, 42385, 45460, 49413? 439*r**2 + 2*r + 38428 What is the j'th term of 307801112, 307801111, 307801110, 307801109? -j + 307801113 What is the n'th term of 195188, 781628, 1759030, 3127394, 4886720? 195481*n**2 - 3*n - 290 What is the k'th term of -28728, -113285, -254218, -451527, -705212, -1015273? -28188*k**2 + 7*k - 547 What is the f'th term of -11244821, -11244819, -11244817? 2*f - 11244823 What is the h'th term of 10273147, 20546342, 30819537? 10273195*h - 48 What is the b'th term of -581, -799, -177, 1729, 5363, 11169, 19591, 31073? 74*b**3 - 24*b**2 - 664*b + 33 What is the g'th term of 45738, 91534, 137354, 183210, 229114? 2*g**3 + 45782*g - 46 What is the h'th term of -79719486, -159438965, -239158444, -318877923, -398597402? -79719479*h - 7 What is the m'th term of -99288713, -99288713, -99288715, -99288719, -99288725, -99288733? -m**2 + 3*m - 99288715 What is the b'th term of 1072, 4003, 8434, 13993, 20308, 27007, 33718, 40069? -62*b**3 + 1122*b**2 - b + 13 What is the g'th term of -405, -928, -1573, -2340, -3229, -4240? -61*g**2 - 340*g - 4 What is the i'th term of -94092, -188135, -282172, -376203? 3*i**2 - 94052*i - 43 What is the f'th term of -40627169, -81254336, -121881503, -162508670? -40627167*f - 2 What is the v'th term of -55712, -110931, -166150, -221369, -276588? -55219*v - 493 What is the n'th term of -37961, -76214, -114771, -153632, -192797? -152*n**2 - 37797*n - 12 What is the x'th term of 463429634, 463429635, 463429638, 463429643, 463429650? x**2 - 2*x + 463429635 What is the z'th term of 1086351, 2172911, 3259471, 4346031? 1086560*z - 209 What is the y'th term of 61775, 61793, 61821, 61865, 61931, 62025? y**3 - y**2 + 14*y + 61761 What is the m'th term of -2029033, -2028993, -2028953, -2028913? 40*m - 2029073 What is the c'th term of 3682, 14870, 33590, 59842, 93626? 3766*c**2 - 110*c + 26 What is the s'th term of -5010, -3740, 208, 8172, 21490, 41500, 69540? 223*s**3 + s**2 - 294*s - 4
{ "pile_set_name": "DM Mathematics" }
7 Let h = 26 - -44. Suppose -g + h = 9*g. What is the units digit of g? 7 Let z(h) be the second derivative of -h - 2*h**2 + 2*h**2 - h**2 + 2*h + h**3. What is the units digit of z(2)? 0 Let a(g) = -3*g**2 + 2*g - 4. Let k be a(3). Let j be (k/4)/(1/4). Let x = j + 52. What is the units digit of x? 7 Suppose 0 = s + k - 54, -4*k - 56 = -2*s + 82. Suppose 3*l - 13 = s. Suppose 0 = 3*n + 5*z - 78, -z - l = -n - 2*z. What is the tens digit of n? 2 Let q(f) = -f**3 - f**2 + 5*f - 3. Let o be q(-4). Suppose -5*c - o = 5*r - 105, -2*r = 5*c - 26. What is the tens digit of r? 1 Let d = -4102 - -6503. What is the hundreds digit of d? 4 Let o(h) = -h**2 - 7*h - 8. Let y be o(-5). Suppose y*s - 105 = 59. Suppose 0 = 4*g - s - 42. What is the units digit of g? 1 Let d = -32 - -37. Let u(a) = 4*a + 47. What is the tens digit of u(d)? 6 What is the thousands digit of ((-1 - -2) + 9 - 5) + 1090? 1 What is the hundreds digit of 5/((-20)/12) - -366? 3 Let t be (1 + -1 + 1)*17. Let f = t + -15. Suppose 2*z + f = 3*z. What is the units digit of z? 2 Suppose 0 = q + 3*q. Let z(t) = t - 4. Let v be z(5). Let g = q + v. What is the units digit of g? 1 Let d(g) = -g**2 + 2*g + 8. Let o be d(4). Suppose -4*z + 287 - 19 = o. What is the tens digit of z? 6 Suppose c - 2*d = 3578, -133*c + d - 7166 = -135*c. What is the tens digit of c? 8 Let a(h) = 7*h**2 + h - 9. Suppose 4*q + 28 = 4*z, -9 = z - 4*z - q. What is the tens digit of a(z)? 0 Let m be 137/9 - 8/36. Let t = 26 - m. Suppose 0 = 3*l - 5*h - 59, 5*h - 2 = -l + t. What is the units digit of l? 8 Let l(a) = -a**3 - a**2. Let k be l(-1). Suppose 5*q - 2*m - 90 = -6*m, 2*q = -5*m + 36. Suppose 5*h + q - 73 = k. What is the tens digit of h? 1 Let x(m) = m**3 - m**2 + 20*m + 5. What is the units digit of x(4)? 3 Let j = 326 - 204. What is the units digit of j? 2 What is the tens digit of (-28)/(-21)*(15222/12 - 7)? 8 Suppose 4 - 1 = s. Suppose -s*r + 95 = -5*o, -4*r + 4*o + o = -120. Let v = 44 - r. What is the tens digit of v? 1 Let t(r) = -r**3 - 9*r**2 - 10*r - 10. Let w = 8 + -16. What is the units digit of t(w)? 6 Suppose 3*g - 2*q = 2*g - 5, q = -5*g - 14. Let b be 2/g - 13/39. What is the tens digit of b/(-2*(-4)/(-216))? 2 Let s(l) be the second derivative of -l**3/3 + 7*l**2 - 4*l. Let q be s(5). Suppose 2*a - 4*h = h + 111, -4*h + q = 0. What is the tens digit of a? 5 Let w(d) = 3*d - 11. Let b(o) = -3*o - 10. Let j be b(-5). Let u = j - -1. What is the units digit of w(u)? 7 What is the thousands digit of ((-740)/(-259))/(-3*(-6)/10521)? 1 Let m be -3 + 5 + 3/3. Let h = m - -13. What is the units digit of h? 6 Let n = 976 - 116. What is the units digit of n? 0 Let n = 31 - 25. Let t(d) = 4*d**2 - 2*d - 1. Let y be t(-1). Let g = y + n. What is the tens digit of g? 1 Let g be 2/(-10) - (-2529)/45. Suppose -j = 2*o - 25, -o + 4*j = 4*o - g. What is the units digit of o? 2 Suppose 9*i = 6*i + 366. What is the units digit of i*(-1 - (-12)/8)? 1 Let p(m) = 72*m**3 + m**2 - m - 1. Let t be p(1). Let n = 118 - t. What is the units digit of n? 7 What is the tens digit of 504*(17/(-4) + 5)? 7 Let d(o) = 9*o**2 - 5*o + 68. What is the hundreds digit of d(6)? 3 Let n(r) = 101*r - 23. What is the tens digit of n(5)? 8 Let z = 6395 + -4539. What is the hundreds digit of z? 8 Let r(v) = 3*v**3 - 31*v**2 + 11*v - 9. Let h be r(10). What is the units digit of 5 + 42 + h + 3? 1 Let k(n) = 2*n**2 - 2*n + 1. Let b be k(1). What is the units digit of b*3*(-14)/(-42)? 1 Let y = 1357 - 744. What is the hundreds digit of y? 6 Let w(z) = z - 3. Let v be w(10). Let o(m) = m**2 - 5*m + 6. Let r be o(v). Suppose -a + r = n - 3*a, -3*n + 48 = -3*a. What is the units digit of n? 2 Let v = 1002 - -38. What is the tens digit of v? 4 Suppose 14*f + 309 = 9129. What is the tens digit of f? 3 Let b be (-2)/((15/(-66))/5). Suppose 4*x - 48 = 20. Let t = b - x. What is the tens digit of t? 2 Let p = -33 - -64. Let r = p + -9. Suppose -4*w + 6*w = r. What is the units digit of w? 1 Let o = 35 - 24. Let y = o + -8. Suppose 0 = a + 3*v - y - 29, -4*v = -12. What is the tens digit of a? 2 Let j(z) = 3 + 1 - 3 - z + 6*z**2. Let a be j(-2). What is the tens digit of (-9)/a - (-164)/6? 2 Let y(g) = g**3 + 11*g**2 - g - 28. What is the units digit of y(-8)? 2 Let w(b) = -b**3 - 5*b**2 - 4*b. Let o be w(-4). Suppose 2*s - i - 9 = o, s = i + i + 9. Suppose r + s*r - 172 = 0. What is the units digit of r? 3 Let w(t) = t**2 + 4. Let p = 8 - 8. Let d be w(p). Suppose -7*f + 48 = -3*f + 2*u, 0 = 2*f - d*u - 24. What is the tens digit of f? 1 Suppose -2*z - 71708 = -30*z. What is the tens digit of z? 6 Let m be (-1)/(3/(-405)) + 1. Let x = m - 6. What is the hundreds digit of x? 1 Let o(m) = 2*m**2 - 6*m + 6. Let p(v) be the first derivative of 2*v**3/3 - 7*v**2/2 + 7*v + 7. Let b(r) = 6*o(r) - 5*p(r). What is the units digit of b(4)? 9 Let m = -21 + 22. Suppose 2*z - 2 = 4*z, 0 = -4*l - 3*z + m. What is the units digit of (-176)/55*l*-10? 2 Suppose 0 = 7*p - 11*p + 12. Suppose -5*f + 0*f + 285 = p*d, -2*f = -d - 114. What is the units digit of f? 7 Suppose 0 = 3*q + 3*j + 27, -5*q + j + 2*j = 61. Let l = 28 + q. What is the tens digit of l? 1 Let h(p) = 2*p**3 - 3*p + 2*p + 4*p - 8*p**2 + 0 + 2. What is the tens digit of h(5)? 6 Let i = 619 - 464. What is the units digit of i? 5 Let w(u) = -2 - 3*u + 7*u + u. Let k be w(1). What is the tens digit of 60*(3/2)/k? 3 Let r(h) = h**3 + 15*h**2 - 40*h - 4. What is the units digit of r(-14)? 2 Let m(j) = -10*j - 27 + 3*j + 4*j**2 - 10*j. What is the hundreds digit of m(11)? 2 Let u = -61 + 74. Suppose 354 = u*w + 94. What is the tens digit of w? 2 Let a be 143/4 + (-3 - (-39)/12). What is the units digit of (2 - -1)*a + 2? 0 Let z(l) = 8*l**3 + 42*l**2 + l - 6. What is the units digit of z(-5)? 9 Let w(k) = k - 12. Let v be w(11). What is the units digit of v - 1/(2/(-196))? 7 Suppose k = 7*k - 12. What is the units digit of (-5508)/(-44) - (24/11 - k)? 5 Let a(u) = -77*u - 1. Let x be (-1 - 20/(-8))*4/(-6). What is the units digit of a(x)? 6 Let w = 7 + -7. What is the units digit of w + (-30)/(-7) - (-4)/(-14)? 4 Let s(q) = -4*q**2. Let y be 2*(-3)/12*2. Let w be s(y). What is the tens digit of (-5 - 28)/(6/w)? 2 Let k be (-8 - -617)*(3 - 2). Let g = -327 + k. What is the hundreds digit of g? 2 What is the thousands digit of (-10581)/(-5)*(-385)/(-231)? 3 Suppose -4*t - 4 = 0, 3*n - 4*t = n + 184. Let l = -20 + n. What is the tens digit of l? 7 Let t = 465 + -204. What is the units digit of t? 1 Let s be (-110)/(-8) - (-18)/(-24). Let r(v) = v**2 - 10*v + 7. What is the units digit of r(s)? 6 Suppose -33*n - 33 = -34*n. Suppose n*c + 572 = 37*c. What is the hundreds digit of c? 1 Suppose 28*l + 5734 = 55238. What is the tens digit of l? 6 Let t = 368 - -261. What is the tens digit of t? 2 Suppose 4*s - 11 = 1. Suppose 2*m - 3*m + 1 = 4*c, 4*c + 3 = s*m. Suppose 4*v = 2*z + 6, 4*z - v - m = z. What is the units digit of z? 1 Let z(p) = -p**2 + 6*p - 12. Suppose -u = -4*u + 15. Let w be z(u). Let s = 8 + w. What is the units digit of s? 1 Let t(b) = 335*b**2 - 7*b - 7. What is the units digit of t(-4)? 1 Let t(o) be the first derivative of -o**5/40 + o**4/8 - 7*o**3/3 + 3. Let l(s) be the third derivative of t(s). What is the units digit of l(-5)? 8 Let b(q) = 99*q + 8. Let m be b(6). Suppose -k - m = -15*k. What is the units digit of k? 3 Let l(s) be the third derivative of -3*s**4/4 - s**3/6 - 4*s**2. Let y be l(1). Let z = y - -46. What is the units digit of z? 7 Suppose 2*y = -4*a - 88, -3*y - 26 = 5*a + 103. What is the units digit of -2*1 - (-5 + -2 + y)? 3 Suppose -2*x - 960 = 2*h, -3*x + 2400 = -h - 4*h. What is the units digit of ((-8)/(-10))/((-8)/h)? 8 What is the tens digit of 214*3 - (-104 + 99)? 4 Suppose -l + 2*p = -3*l - 10, -5*p + 15 = l. Let h = 58 - l. What is the tens digit of h? 6 Suppose -7*w - 9*w + 25248 = 0. What is the units digit of w? 8 What is the tens digit of (-437)/(-5) + (-4)/10? 8 Suppose v = -2*x - v, -5*v - 10 = 3*x. Let q be (-76)/(-10) + (-2)/(-5). Let o = q - x. What is the units digit of o? 3 Let r(g) be the second derivative of -5*g**3/3 + 37*g**2/2 + 25*g - 2. What is the units digit of r(3)? 7 Suppose -7*q - 4*a + 36 = -3*q, -3*q + 31 = 4*a. Suppose -3*w - q*w
{ "pile_set_name": "DM Mathematics" }
j is positive. j**(8/5) Simplify (a**(-2/5)/a)**50 assuming a is positive. a**(-70) Simplify y**(1/5)/(((((y**(1/2)/y)/y)/y)/y)/y)*y**(-7)*y*y*(y*y*y**(-2/19)*y*y)/y assuming y is positive. y**(493/190) Simplify (o*o**(18/11))**(-40) assuming o is positive. o**(-1160/11) Simplify (g/(g*g*((g/(((g*g*g**(-3/11))/g)/g))/g)/g))**(-32) assuming g is positive. g**(96/11) Simplify m**4/((m*m**(-15))/m) assuming m is positive. m**19 Simplify (h**(-3/5))**(-1/23) assuming h is positive. h**(3/115) Simplify (u**(2/11)/u**0)**(-3/2) assuming u is positive. u**(-3/11) Simplify (j**3*j*((j**(-3/2)/j*j)/j)/j)/((j/(j*j**(-4)))/j*j/j**7) assuming j is positive. j**(7/2) Simplify ((z/z**(-1/4))**(-37))**(2/67) assuming z is positive. z**(-185/134) Simplify m*m*m**(-1/8)*m*m*(m/((m*m*m**8)/m))/m*m*(m*m*m**2/m)**(-44) assuming m is positive. m**(-1089/8) Simplify (y*y**(-2))/y*y**(2/17)*y**(-3/7)*y**(-2) assuming y is positive. y**(-513/119) Simplify (n*n**(-2/13)*n)/n*n**(-2/9)*(n*n**(2/13))/n**6 assuming n is positive. n**(-38/9) Simplify (p**(-9)/p*p**(3/13))**(-3/2) assuming p is positive. p**(381/26) Simplify (x/x**6)/((((x*x/x**5)/x)/x)/x)*x**(-2/15)/(x**(-2/3)*x) assuming x is positive. x**(8/15) Simplify (o/(o*o**3/o))/o**(-4)*(o/(o**(2/7)/o))**(1/10) assuming o is positive. o**(76/35) Simplify ((c/c**(3/7))**29)**(-19) assuming c is positive. c**(-2204/7) Simplify o**(5/4)/(o/((o**(2/45)*o)/o)) assuming o is positive. o**(53/180) Simplify (z**(-8)*z/(z*z**3)*z)/(z**(-5)*z**(1/4)) assuming z is positive. z**(-21/4) Simplify (t*t**(-4/11))**43 assuming t is positive. t**(301/11) Simplify ((t*t*t*t*t**(-18)*t)/t*t/(t/(t/(t*(t/((t*t/(t/(t*t**1))*t)/t))/t*t))))**(1/54) assuming t is positive. t**(-2/9) Simplify l**(-5)/l**8 assuming l is positive. l**(-13) Simplify (y/y**4*y**(2/11)*y)**(-24/5) assuming y is positive. y**(96/11) Simplify ((y*y/y**10)/(y/y**(-3/7)))**(-1/4) assuming y is positive. y**(33/14) Simplify ((b**(2/3)*b)/(b*b**(-2/15)))/(b*(b*(b*b/(b/((b/(b**(-2)*b))/b))*b)/b)/b)**(22/7) assuming b is positive. b**(-302/35) Simplify ((j**(-1))**8)**(-38) assuming j is positive. j**304 Simplify (x/x**(2/3))**(-1/7)/(((x/(x/x**(-6)))/x*x)/(x/x**(-2/3))) assuming x is positive. x**(160/21) Simplify g/g**(-13/3)*g*g**(-9/4) assuming g is positive. g**(49/12) Simplify ((j*(j*(j*j*j**(2/7))/j*j*j)/j)/(j*(j/j**(-1/5)*j)/j))/((j**(-6)/j)/j**(1/5)) assuming j is positive. j**(65/7) Simplify ((t/t**(-2/3))/t)/(t*t/t**1) assuming t is positive. t**(-1/3) Simplify (u/(u/(u/(u*((u**(6/5)/u)/u)/u)))*u/u**10)**47 assuming u is positive. u**(-1692/5) Simplify ((m**2)**(-15/7))**(-29) assuming m is positive. m**(870/7) Simplify h**(-23)*h**24 assuming h is positive. h Simplify (b**(-6/7)/b*(b*b**(-6)*b)/b)/(b**(1/5))**(-3/26) assuming b is positive. b**(-6219/910) Simplify (q**(-10)*q)/q**24 assuming q is positive. q**(-33) Simplify ((h/((h/(h*h**5))/h))/(h**9*h))**44 assuming h is positive. h**(-132) Simplify n*n*n/(n/(n/((n*n*n/n**(-18)*n)/n)))*n/((n*n*n**(-1/10))/n)*n assuming n is positive. n**(-169/10) Simplify ((q/(q**(2/3)*q))/q*q/(q*q/q**(2/29)*q))/(q**1)**(-2/13) assuming q is positive. q**(-3895/1131) Simplify (u*u**(-10))/u**8 assuming u is positive. u**(-17) Simplify (y**(1/2)*y/(y/y**(1/17)))**(-33) assuming y is positive. y**(-627/34) Simplify (w**(-2)/w*w)**(17/5)*(w**1)**4 assuming w is positive. w**(-14/5) Simplify ((j*(j/j**(2/71))/j)/j)**(1/41) assuming j is positive. j**(-2/2911) Simplify f**6*f*f**(-2/3)*(f/(f/f**6))/f**(-1/2) assuming f is positive. f**(77/6) Simplify x/(((x**10/x)/x)/x)*x*x**(-25)*x assuming x is positive. x**(-29) Simplify ((s**(1/3))**(-3/22))**(-37/5) assuming s is positive. s**(37/110) Simplify ((l*(l**(2/5)/l)/l)**(-12))**(-11/5) assuming l is positive. l**(-396/25) Simplify x**12/x**(-4/11) assuming x is positive. x**(136/11) Simplify (a/(a/(a*a*a/a**(-4/3)*a*a)))/a**(-3/8) assuming a is positive. a**(161/24) Simplify ((c**3)**(4/5))**15 assuming c is positive. c**36 Simplify (((j*j**1*j)/j)/j)**(18/5)/(j**(2/15)*(j**3/j)/j*j) assuming j is positive. j**(22/15) Simplify (g**(2/11))**(-37) assuming g is positive. g**(-74/11) Simplify p**(-3/4)/p**39 assuming p is positive. p**(-159/4) Simplify n**(-6/11)*n*(n/n**(-6))/n*(n/n**(-3))/(n**3/n) assuming n is positive. n**(93/11) Simplify ((a*a*a**(5/3))/a**(2/15))/((a/(a/(a**(-1/5)*a*a*a)))/a**0) assuming a is positive. a**(11/15) Simplify ((d*d*d/(d*d**(-1)))/(d*d*d*d**(-1)))**49 assuming d is positive. d**49 Simplify (g*g*g*g**3*g*g**7/g)**(-4/3) assuming g is positive. g**(-52/3) Simplify (a**(1/17)*a**7)**9 assuming a is positive. a**(1080/17) Simplify (l*l**(-1/5)*l**6)/(l*l*l*l/((l/(l**(-3)/l))/l)*l*l/(l*l**(-10))) assuming l is positive. l**(-21/5) Simplify h**(-1/7)/(h/(h/(h/(h*h**1)))) assuming h is positive. h**(6/7) Simplify r**12/r**(-18) assuming r is positive. r**30 Simplify ((a*(a*(a**0*a*a)/a)/a*a*a*a*a*a)/((a*a*a*a**(-6)*a)/a))**(-12) assuming a is positive. a**(-120) Simplify ((g*g**(-1/2))/((g/(g/g**(-2))*g)/g))**(2/5) assuming g is positive. g Simplify (d**(1/4))**(-46)/(d*d/(d*d*d*(d/(d/(d*d**(1/4)/d)))/d*d)*d*d)**(-12/7) assuming d is positive. d**(-143/14) Simplify (n**7*n)/(n/n**17) assuming n is positive. n**24 Simplify a/(a/(a*a**(4/11)))*a*a**(-11)/a assuming a is positive. a**(-106/11) Simplify ((h**(-2/7))**(5/14))**(1/6) assuming h is positive. h**(-5/294) Simplify (i**(1/4)/i**(2/7))/(i/(i*i**0*i))**(-1/52) assuming i is positive. i**(-5/91) Simplify ((x/(x/x**(3/5)))/((x*x/(x/(x/((x/((x**(-3/5)*x)/x))/x)))*x*x)/x))/((x*x/x**(3/10))/(x*x**(3/4))) assuming x is positive. x**(-7/4) Simplify (t**5*t**3*t)**(-33/5) assuming t is positive. t**(-297/5) Simplify g**7*g**4*g/(g**(1/6)/g)*g/g**3 assuming g is positive. g**(65/6) Simplify ((((d*d*d/(d/d**(-2/3)))/d)/d*d)/d)/d*d**(-3/7)/d*d*(d*d**(-1/3)*d)**7 assuming d is positive. d**(67/7) Simplify (t/t**(-8/7))**(4/11) assuming t is positive. t**(60/77) Simplify (d/(d**(1/11)*d))**0 assuming d is positive. 1 Simplify r*r**30*r*r**10 assuming r is positive. r**42 Simplify (t*t**(-1/4)*t)/((t*t*t**(-7)*t)/t)*(t*t**4*t)/(t/t**(2/5)) assuming t is positive. t**(243/20) Simplify f**(-3/2)/(f/(((f*f**(-5))/f)/f)*f) assuming f is positive. f**(-19/2) Simplify x**(-11)/(x/(x**(-15)*x)) assuming x is positive. x**(-26) Simplify (c**(2/9))**14/(c**(2/7)*c)**(-11) assuming c is positive. c**(1087/63) Simplify (t/t**(2/43))**(6/29) assuming t is positive. t**(246/1247) Simplify (b*b/(b/b**(-4)))**(-11/5) assuming b is positive. b**(33/5) Simplify (v**6)**6 assuming v is positive. v**36 Simplify (m/((m**(-3/4)*m*m)/m)*m**(-1/5))**(8/7) assuming m is positive. m**(22/35) Simplify ((z*z**(-8)*z*z)/z**16)**39 assuming z is positive. z**(-819) Simplify (((v/(v*v**(-2/7)))/v*v)/v)/v**(-6/5)*v/(v**(-2/5)/v)*(v*v*v**(4/5)*v)/v assuming v is positive. v**(199/35) Simplify (l**12/((l**(-2/17)*l)/l*l))**(-42) assuming l is positive. l**(-7938/17) Simplify b**(9/4)*b**(-1/7)*(b*b*b/(b/(b/((b/b**(-1/5))/b)))*b)/b*(((b**(-10)*b)/b)/b)/b*b assuming b is positive. b**(-853/140) Simplify (x**4*x)/(x**(-6/11)*x*x)*x**(-7)*x/(x**(1/6)*x)*x assuming x is positive. x**(-173/66) Simplify v**(-12)*v*v*v*v**(-10/3)*v assuming v is positive. v**(-34/3) Simplify ((d**(-1))**(-1/36))**(-31) assuming d is positive. d**(-31/36) Simplify ((f/(f*f/(f/(f**(3/8)*f))))/f**5)**(-46) assuming f is positive. f**(1173/4) Simplify p*p/p**(-38)*p*p*p**(-24)*p assuming p is positive. p**19 Simplify (s/((s*s**(-6/13))/s))/(s/(s/(s*s**(-1/12)))) assuming s is positive. s**(85/156) Simplify (h**0)**(-23)/(h/(h*h**(-1))*(h/h**(-2/5))/h) assuming h is positive. h**(-7/5) Simplify (d**(-17))**(-4/17) assuming d is positive. d**4 Simplify (h**28)**(8/5) assuming h is positive. h**(224/5) Simplify ((d**3)**(-3/14))**(-2/13) assuming d is positive. d**(9/91) Simplify p*p/p**(2/11)*p*p*p/p**(-1/12) assuming p is positive. p**(647/132) Simplify ((t/(t*t**2/t))/t)/t*t*t*t*(t/((t/(t/(t**(-4/11)*t)))/t))/t assuming t is positive. t**(4/11) Simplify n**28*n/n**(-1/7)*n assuming n is positive. n**(211/7) Simplify (d/(d/(d*d/(d*d*d/(((d/(d/d**(1/12))*d)/d*d)/d))))*d)**(-10/17) assuming d is positive. d**(-5/102) Simplify ((b*b**4)/(b/((b*b/(b**(-2/7)*b))/b*b)))**(-
{ "pile_set_name": "DM Mathematics" }
e in -5, 4, z? z Let q = 8640 + -544342/63. Let y = q + 4/63. What is the third biggest value in -3/4, 3, y? -3/4 Let i = -24 - -4. Let z be (-35)/i*6/21. Let u(a) = a - 10. Let g be u(6). What is the biggest value in -3, z, g? z Let u = -1045/7 + 149. Which is the second biggest value? (a) u (b) -7 (c) -3 c Let x(i) = -i**3 + 4*i**2 - 5*i + 2. Let z be x(3). Let r = -0.39 - 0.61. Which is the second smallest value? (a) r (b) z (c) 0.5 a Let q = -41 - -36. What is the smallest value in q, 22, 0.3? q Suppose -2*k - 9 = -5. Which is the biggest value? (a) 3 (b) 0 (c) k a Let l be (-9)/(-2) + 7/14. What is the third smallest value in l, 1/3, 2/5? l Let r = -1.2 - -0.2. What is the second smallest value in r, 2/7, 5? 2/7 Suppose -11 + 1 = -5*m. Which is the biggest value? (a) 4 (b) 1/11 (c) m a Let h be 1/5 + (-2)/60. Let o be 6/126 - (-4)/14. Which is the biggest value? (a) h (b) -5 (c) o c Let k be 0 + 140/225 - (-4)/(-10). What is the fourth biggest value in k, 0.1, -4, -1/2? -4 Suppose 16 = 6*j - 2*j, -g - 24 = -4*j. Let k be -2*2/g + -1. What is the third smallest value in 4, k, -4? 4 Let u be (-1)/(-3) - (2 - 1). Let y = 3.93 + 1.07. Let o = -0.7 - -1. Which is the smallest value? (a) o (b) y (c) u c Let m be (1/4)/(-4 + 3). Let x = -0.1 + 0. Let n = -2.1 - x. Which is the second biggest value? (a) 2/21 (b) n (c) m c Let l = 3 - -4. Let p = l - 4. Let z = -2 - -1.8. Which is the second biggest value? (a) p (b) z (c) 0.2 c Let v = -4.231 - -0.031. Let w = v - -0.2. What is the smallest value in 0.5, w, 0? w Let q be 1/(16/6)*(-1 - 1). What is the second biggest value in 5, 0, q? 0 Let d = 8 - 8.12. Let z = d + 1.12. Which is the biggest value? (a) z (b) -3/4 (c) -1/8 a Suppose -2*q - 2*q = 120. Let o be (-14)/q + (-4)/(-20). What is the third biggest value in 3, -1/6, o? -1/6 Let a = -0.04 - -3.04. Let j be -1 - 1 - (-11)/4. What is the third smallest value in 1/5, j, a? a Let y(u) = u**3 - 4*u**2 + 3*u + 2. Let w be y(3). Which is the third smallest value? (a) 3/7 (b) w (c) 2/7 b Let o = -1.9 - -2. Let r = 1.9 + -2. Let s = r - -3.1. Which is the smallest value? (a) -1/10 (b) o (c) s a Suppose -18 = -0*i + 2*i. Let x = i + 5. What is the second smallest value in x, 0.4, 0.2? 0.2 Let k = -9.9 + 4.9. Which is the smallest value? (a) 1/11 (b) k (c) -1 b Suppose -3*p = -2*p - 4. Let j = 22 - 23.04. Let g = -0.04 - j. What is the second biggest value in g, p, 1/5? g Let h = 129 - 126.08. Let t = h + 0.08. Which is the third biggest value? (a) 2/3 (b) -3 (c) t b Let y be (-1)/4 - 17/(-36). Let f = 66 - 63. What is the second smallest value in f, y, 4? f Let b = -8.1 - -8. Let l = -0.4 - b. What is the second biggest value in 0.3, l, -4/5? l Let m(j) = 6*j**3 - j**2 + 1. Let y be m(1). Let o be (-1 + y/8)*-6. Which is the second smallest value? (a) -2/13 (b) o (c) 2 b Let s = -7 + 14. Let k = 16 - s. Suppose 2*g = 8, 3*u + k = -0*g + 3*g. Which is the second biggest value? (a) u (b) -0.1 (c) -1 b Suppose 0 = p - 3, 0 = -3*y - 5*p + 18. Let v be 1 - y - (1 + -1). Let z be (-5)/((-255)/(-6)) + v. What is the biggest value in z, 4, -2? 4 Let i = 125/6 - 124/3. Let y = 22 + i. What is the second smallest value in y, -3, -5? -3 Let p = 2 - -2. Suppose 0 = -h - h + 4. Suppose -q = h*q - 6. What is the biggest value in p, q, -5? p Let j = 11 + -9. Let h be (204/99 - j)*-3. Which is the second smallest value? (a) 1/2 (b) -3 (c) h c Let y = 73 + -72.6. Let q = 3.1 - 3. What is the smallest value in q, 4, y? q Let z = 167 + -171. Let v = 2 + 2. What is the second biggest value in v, z, 2? 2 Let l(v) = -v**2 + 5*v - 1. Let f be l(4). Let t be 4 + (0/f)/2. Suppose -x = t*s + 7, s + 2 = -2*x + 9. Which is the third biggest value? (a) x (b) -1 (c) 0 b Suppose -1 = -4*y + 15. Let r = 3 - 0. Which is the third biggest value? (a) r (b) y (c) 2 c Suppose 5 = -5*m - 10. Let l be -2 + 8439/1755 + -3. Let h = l + -2/65. Which is the biggest value? (a) h (b) -4 (c) m a Let w = -27.98 - -28. Which is the third smallest value? (a) -5 (b) 2/19 (c) 4 (d) w b Let s = -6.07 - -0.07. Let x = 6 + s. Let u = 0.46 + -0.06. Which is the smallest value? (a) 1/5 (b) x (c) u b Let h = 0.1 - -0.1. Let r = 3 - 4. Let p = -3 - r. What is the biggest value in h, 3/4, p? 3/4 Suppose 5*p + 5*h = -23 - 7, -2*p - 4*h = 14. Suppose 0*x - x = -1. Which is the biggest value? (a) p (b) 0 (c) x c Let f(c) = c**2 + 10*c + 13. Let w be f(-9). Let d = 7/99 - -1/9. What is the third biggest value in 5, w, d? d Let p be (-11 + 4)*(-10)/7. Let u be 145/100 - 2/p. Which is the third biggest value? (a) 3 (b) -0.1 (c) u b Let m be (-3*1 - -2) + 2. Let z = 2.2 - 2. Let w = 0 + z. What is the second biggest value in -1/3, m, w? w Suppose 3*v - 2 = -8. Let l = 2.3 + 0.7. Which is the third biggest value? (a) -0.6 (b) l (c) v c Let r = -1.5 - -2. Let j = -1.7 + 1.5. Let b = 0.6 + j. What is the smallest value in r, -2, b? -2 Suppose 4*x + 2*n - 16 = -0*x, 5*x - 11 = 2*n. Suppose -2*u - 3 = y, -x*u + 0*y - 11 = -5*y. What is the second smallest value in 2/11, u, 0? 0 Let c = 2 - 14/5. Let f = -0.2 + 0.3. Let n = 0.1 - f. What is the smallest value in -1/7, n, c? c Let s = 6.051 + -1.161. Let h = -0.11 - s. Let g = -0.3 + 0.8. Which is the third biggest value? (a) 0.1 (b) g (c) h c Let t = 1.01 - 0.01. Let j = t - 2. Which is the biggest value? (a) 2 (b) 0.1 (c) j a Suppose 0*b + 4*b + 5*z - 14 = 0, 5*b - 34 = 2*z. What is the smallest value in b, 1, -1? -1 Let j = -106.5 - -106. Which is the biggest value? (a) 3 (b) 2 (c) 1/4 (d) j a Let p = -0.3 - -0.2. Suppose -n + 6*n = -20. Let u(g) = -2*g - 4. Let r be u(n). What is the second smallest value in p, -2/15, r? p Let o = 4.08 + -0.08. Let w = 0.045 + -0.555. Let s = w + 0.01. Which is the smallest value? (a) o (b) -0.3 (c) s c Suppose 12 = -4*t + 5*t. Suppose t = -w - 2*w. Which is the smallest value? (a) 2 (b) -0.3 (c) w c Let f = 17 - 13. What is the third smallest value in f, -0.2, 2? f Suppose 0 = -4*q + 5*n + 485, -5*q + 392 = 2*n - 206. Let o be 116/q + 2/(-12). Let l = -1.1 + 0.1. Which is the second smallest value? (a) l (b) o (c) -2 a Let y be 22/14*-1*73. Let h = y - -115. Let o = 8 - 6. Which is the third biggest value? (a) h (b) -5 (c) o b Let i be (6 + 1)/(18/(-57)). Let t = -935/42 - i. Which is the biggest value? (a) 3 (b) -0.3 (c) t a Let x = -5 + 10. Let g = -5 + x. Suppose c - 2 = 3. What is the third smallest value in g, 2/11, c? c Let d be (-23875)/(-130) + 1/(-2). Let v = d + -183. Which is the second smallest value? (a) v (b) 1/3 (c) -2/21 a Let t = -28 - -29.1. What is the third smallest value in t, 1/5, 1? t Let k = -4 - -8. Let x = k - 7. Let r = -3/11 - 2/33. Which is the second biggest value? (a) r (b) 3 (c) x a Let m = -3 - -5. Suppose m*h = -3*s + 8, 0*h - h = 3*s - 4. Which is the second smallest value? (a) -3 (b) s (c) -4 a Let l = -2 + 3. Let s = -2.51 + -0.49. Which is the third smallest value? (a) s (b) l (c) -5/2 b Let d = -0.35 - -0.05. Let k = -2.9 + 2.7. Which is the third smallest value? (a) 0.3 (b) k (c) d a Let y = 0.2 - 5.2. Let x = -2 - -1.8. What is the third smallest value in y, 0.1, x? 0.1 Let g = -251/1089 + 1/121. What is the smallest value in 0.2, 2/3, g, 2/9? g Let d = -22 - -21.8. Which is the biggest value? (a) 0.5 (b) d (c) -1/3 a Let y = 0.13 - 0.1. Let j = 0.53 - y. Let v = -1 - -3. Which is the biggest value? (a) v (b) -1 (c) j a Let m = 0.17 + 5.33. Let k = m - 6. Suppose -4*z - 2 = -u - 25, 0 = 5*z - u - 28. What is the second biggest value in 4, z, k? 4 Let t = 0.33 + -13.33. Let a = t - -9. Let s = 3/313 + -1911/3443. What is the second biggest value in s, 5, a? s Let u = 0.38 + -0.28. Let v = -0.1 + 0.6. Which is the second smallest value? (a) 3/7 (b) u (c) v a Let m be -1 + -1 + 24/14. Let a = 0.022 + 0.078. What is the biggest value in 1, a, m? 1 Suppose 2 = j, -2*n + 5*j - 19 = n. Which is the second smallest value? (a) n (b) -4 (c) 3 a Let w be 4/(-3) + 52/48. What is the third biggest value in 10, w, -1? -1 Let i = -0.17 + 0.01. Let d = 0.08 + i. Let a = 0.18 + d. What is the second biggest value in 1, -4, a? a Suppose -5*r + r = -20. Suppose 3*z = -0*d + r*d + 4, -3
{ "pile_set_name": "DM Mathematics" }
/(-6296)*(-112)/(-6). -7 What is the value of 1/(625/(-30))*460/276? -2/25 Evaluate ((-16)/96*70)/((-10)/(-30)). -35 What is -1*5*(5/(-6))/((-55875)/1490)? -1/9 What is the value of (-288)/2772*44*(-1)/(10/(-7))? -16/5 Calculate (-13)/(702/36)*(315/(-190))/(-21). -1/19 Calculate 4*(-11972)/11152*17. -73 Calculate ((-1)/(-3))/(((-14)/(-4)*(-450)/13650)/18). -52 Evaluate (-1740)/2320*(-16)/(-3)*(-2)/(-24). -1/3 What is ((-1434)/(-2151))/(12/126*(-987)/9)? -3/47 ((-40)/616)/(600/1260) -3/22 Evaluate (7491/(-1816))/(((-4)/(-12*4))/(12/(-18))). 33 What is the value of ((-4)/(-26))/(124/12896)? 16 What is 8/30*(-50750)/64960? -5/24 715/(-22)*(-191)/((-55390)/(-1044)) 117 What is the value of (748/361284)/((-2)/(-42))? 1/23 Evaluate ((-54)/45)/6*(-32595)/123. 53 Calculate ((-14)/(-35))/(1/((-4300)/(-40))). 43 What is the value of -1*145/(4060/(-2268))? 81 What is the value of -7*200/15120*9? -5/6 What is (3008/(-4320))/(138/(-18630))? 94 Evaluate ((-25424)/41314)/((-4)/(-2)). -4/13 Evaluate (1393/(250740/(-216)))/(11*1/20). -24/11 Evaluate ((-54)/120*-4)/((-18)/(-720)*12). 6 Evaluate ((-194)/(5235284/(-393)))/((-6)/8). -2/103 What is (((-93536)/9768)/(-316))/(3/121)? 11/9 5*((-60)/90)/((-1375)/(-15)) -2/55 (-80)/12*5211/(-4632)*4/3 10 What is (342504/(-27))/67*3/(-8)? 71 What is (4/(-4))/((-276)/(-9108))? -33 What is ((-4050)/368550)/((-21)/(-234))? -6/49 Evaluate (81/(-8694))/3*24/(24/(-4)). 2/161 What is (-1*2*(-35)/(-462))/(60/(-72))? 2/11 What is ((-1065)/(-1704)*176/10)/((-6)/2)? -11/3 Calculate (18018/891)/(-91)*-99. 22 What is the value of ((-30)/(-4))/(-3)*(-18)/(-15)*(-3060)/270? 34 Evaluate (32/(-14))/(3136/(-1960)). 10/7 Evaluate (-4*(-5)/(-10))/((49/(-343))/(2/98)). 2/7 What is (1/45*3*4)/((-95)/((-17575)/444))? 1/9 What is ((-660)/27170*114)/(-9)? 4/13 (2871/(-539748))/((-1)/8) 2/47 Calculate (-22)/(814/(-555))*-2. -30 Calculate ((-140980)/595)/106*34. -76 Calculate ((-1530)/(-40))/51*(-8360)/165. -38 What is -4*(-11)/(3872/(-110))*12/7? -15/7 Calculate (-3)/((-102)/8)*-69*505/(-27876). 5/17 Evaluate (-126)/7*3674/1503. -44 Evaluate ((-38)/(-1045)*264)/(42/(-140)). -32 Evaluate (240724/207898)/((-32)/38). -11/8 What is -32*16/(-320)*(-425)/1156? -10/17 (6/567)/(17/(-51)) -2/63 Evaluate ((-2)/2)/(15/(330/319)). -2/29 What is the value of (-8808)/(-38168)*26/22? 3/11 What is ((-4)/14)/(6/(-32)*(-46)/483)? -16 What is the value of (348/(-377))/(138/(-39))? 6/23 What is the value of 200/(-30)*(96/24)/(-20)? 4/3 What is the value of ((9/(-45))/1*4)/(178/17800)? -80 Evaluate ((2*-1)/324)/(((-428)/14552)/(8/68)). 2/81 Calculate (14/6)/(2/4)*(-1581)/(-6324). 7/6 What is the value of 52/((-416)/(-504))*(-8)/((-48)/6)? 63 What is the value of (300/800*(-16)/4)/(((-45)/(-66))/(-5))? 11 (2/35*59/(2832/240))/((-8)/(-7)) 1/4 Calculate ((-1110)/444*(-11)/(-5))/((49/(-14))/(-7)). -11 What is the value of 46/(598/(-91))*((-4)/(-406))/2? -1/29 ((-956)/1195)/((-12)/(-390)) -26 Evaluate ((-28)/(-28))/(((-495)/24)/(-15)). 8/11 ((-21)/(-84)*24)/(-57)*-57 6 Evaluate ((-2)/12)/((-4)/8)*135/90. 1/2 What is the value of -5*72/(-30)*-6*8/936? -8/13 (((-20)/12)/5)/((-594)/792) 4/9 ((-2737)/(-966))/((-5355)/(-140)) 2/27 (84/72)/(2/(-7)*175/300) -7 What is ((-16824)/(-2103))/(8/13)? 13 (-3465)/(-5775)*25/7 15/7 What is (36/(-10))/(26/6*165/19525*71)? -18/13 Calculate -1431*(-97)/18333*7. 53 Calculate (32/92)/1*(192/(-576))/((-2)/3). 4/23 (-45)/((-7245)/1472)*((-273)/30)/(-13) 32/5 (-35)/(-28)*(-170292)/3085 -69 (-4)/16*2*(-9020)/(-410) -11 (6/84)/(57*61/2093154) 43 (19/(1102/(-29)))/((-2)/(-3)) -3/4 (-111*(-856)/19795)/((-3)/(-4)*(-2)/(-5)) 16 (-1*(-2)/(-6))/((-16*(-9)/72)/(-1)) 1/6 What is the value of 6/(-540)*20*54? -12 What is the value of ((-5)/(-210)*3*-10)/((-10)/350)? 25 What is the value of 6/(-36)*20*(284400/125)/(-79)? 96 Evaluate (-4)/(((-3432)/(-26))/2). -2/33 (5151/(-606))/(1/(-60)*-3*-2) 85 What is (2/(-3))/(28017/(-7641)*(-1)/99)? -18 What is the value of (-48)/(-4)*368/(-4692)*-17? 16 1/((-18)/(-45))*((-239304)/(-240))/169 59/4 Calculate ((-38)/(-3))/((-673)/673). -38/3 Evaluate (-1*-35*(-19)/(-133))/(-1)*42/5. -42 What is the value of (-14)/(-735)*27*1420/(-71)? -72/7 What is the value of 8/(-6)*91449/24838? -54/11 Evaluate (((-36)/22)/(345/(-506)))/((-260)/2925). -27 (-2548)/26*51/(-102) 49 Calculate 231*(-26)/(-4004)*2/12. 1/4 (-310)/837*1*39/65 -2/9 What is (61/183)/(((-1342)/3036)/(-61))? 46 Evaluate (-117)/(-27)*81/(-3042). -3/26 Calculate (6/2)/((-18)/20)*((-11520)/(-350))/32. -24/7 Evaluate -2*105/(-60)*12/(-56)*1660/15. -83 9*(77/55)/7*(-240)/(-16) 27 What is the value of ((12672/80)/18)/((26/(-5))/(-13))? 22 Calculate 54/30*((-1820)/(-21))/(-13). -12 What is the value of 2/(-6*(-27)/4293)? 53 Calculate (252/(-90))/(119/(-731))*(-10)/4. -43 Calculate (53/530)/(2/(-320)*-12). 4/3 (-19894)/(-85260)*12/(-140) -1/50 What is 63*(-4)/(-10)*(-1900)/570? -84 146/(((-994)/71)/(-7)) 73 What is the value of (2500/(-62400)*16)/(((-15)/9)/1)? 5/13 Calculate (174/(-348)*8/6)/11. -2/33 What is 102*((5520/(-644))/(-30))/((24/7)/2)? 17 What is the value of 4/6*(-4)/6*1328652/(-17368)? 34 What is the value of 108/126*(-28)/4*(-17)/6? 17 Evaluate (-25)/(-100)*(-2048)/72192. -1/141 Evaluate ((110/(-11))/(-30))/((-234)/54)*-2. 2/13 48/26*3984/5312 18/13 What is the value of (-165)/(-3465)*-21*93? -93 What is the value of (-726410)/(-4273)*4/5? 136 ((-58420)/2921)/(-2*5) 2 What is the value of (15/310)/(73/((-79205)/(-70)))? 3/4 What is ((-7826)/(-1118)*-3*1)/((-6)/14)? 49 (-811)/3244*(-444)/3 37 Calculate (4700/5264*(-16)/30)/(8/14). -5/6 Evaluate (-16)/(-56)*((-516)/(-696))/(-43)*98/(-7). 2/29 Evaluate (-425)/(-340)*(-4)/520. -1/104 What is the value of (-28)/6*(-1320)/64*(-38)/665*14? -77 Calculate 26*42/483*-23. -52 What is (24356/(-42623))/((-16)/(-14))? -1/2 (-4221)/(-201)*9/(-9) -21 What is 20/124*8/12*4*(-369)/820? -6/31 (21/((-16380)/4602))/((-4)/(-8*5)) -59 (((-355)/(-2))/((-1)/(-2)))/(609/(-294756)*-1210) 142 Evaluate (1/2*3)/(((-18)/988)/(58296/63154)). -76 Calculate (-2)/4*11*(-48)/32*(-52)/(-39). 11 Evaluate ((-26)/208*36)/(2*-15). 3/20 What is (-154)/(-11)*8/(-8)? -14 What is the value of (((-24)/70)/((-14)/49))/((-2742)/75405)*-1? 33 -5*10/3*((-41)/((-287)/(-126)))/(-6) -50 What is the value of 16*(-15)/3120*-169? 13 What is ((-108)/10)/((-122)/17080*-84)? -18 What is the value of ((-18)/(-60))/(28017/5660)? 2/33 What is the value of 21/(-14)*(4/(-42))/((-185)/24605)? -19 What is -1*((-23)/(828/(-243)))/(-1)? 27/4 What is (-6)/(-5)*22495/11043? 22/9 Evaluate ((-570)/180)/(-19)*38/(-114). -1/18 What is 211/((-21311)/202)*(-24)/2? 24 -4*(-8)/10*105875/(-76230) -40/9 What is the value of (1726233/(-58069))/((-3)/11)? 109 What is the value of (-170)/51*(-5082)/(-385)? -44 (1*(-28)/(-147))/((100/(-35))/20) -4/3 Calculate (31/(372/(-414)))/(6/4). -23 Evaluate (-5*(-3)/(-25))/((-2)/(-30)*174/116). -6 What is (-15)/((-570)/(-16891))*106/371? -127 What is the value of ((-20)/(-22))/1*(-684)/10260? -2/33 What is the value of ((-16)/(-3136)*203*7)/(((-45)/(-20))/9)? 29 What is the value of 1602/(-2581)*-116*1? 72 What is the value of (((-3948)/273)/(-47))/((-120)/52)? -2/15 What is ((-132)/(-2684)*16/12)/(-2)? -2/61 What is the value of ((-2)/(-16))/1*-4*(-254)/2032? 1/16 Evaluate (-258*(-8)/60)/(((-2)/40)/(996/7968)). -86 Calculate 9*(-507)/39*((-100)/(-52))/5. -45 351/(-546)*(-13)/((-7020)/63)*-2 3/20 Evaluate ((-118)/(-295))/((3132/2790)/(-29)). -31/3 (((-1668420)/2160)/713)/(2/(-168)) 91 Calculate (50290/5029)/((-1)/(-2)). 20 Calculate -1*(16575/(-455))/(-85). -3/7 What is the value of (1382/43533)/((-45)/(-378))? 4/15 What is (27/60)/((-237)/(-395))*(-125)/75? -5/4 What is the value of ((20/28)/((-280)/(-392)))/(1/19)? 19 Evaluate 2/(-5)*(-104700)/151815. 8/29 What is (21/(-486))/((-9947)/(-5684))? -2/81 What is (-592)/(-185)*((-30)/216)/(-1)? 4/9 What is the value of 84/(192*65/520)? 7/2 Evaluate ((-187)/((-39270)/378))/((-6)/190). -57 ((-153)/68)/(45/(-20))*117/3 39 Evaluate ((-1557)/(-1211))/(-3*(-7)/(-42)). -18/7 What is the value of (((-6)/2)/27)/((-70)/(-15750))? -25 Calculate (((-1860)/2480)/((-162)/16))/(44/(8/2)). 2/297 What is the value of ((-201)/3015)/(1*36/(-1755))? 13/4 Calculate (4/(-1))/((-30037)/8582). 8/7 What is 20/(-400)*8*((-26
{ "pile_set_name": "DM Mathematics" }
True Is 278995966 a multiple of 930? False Is 29157917 a multiple of 5? False Does 267 divide 28067574? True Is 3 a factor of 25960338? True Is 151 a factor of 3126606? True Is 50923959 a multiple of 1037? True Is 1549241616 a multiple of 565? False Is 7952004 a multiple of 5? False Is 264724268 a multiple of 2153? True Is 333 a factor of 67409856? True Does 6 divide 2740296? True Is 161716195 a multiple of 88? False Does 25 divide 7106290? False Is 202 a factor of 15408888? False Is 40126764 a multiple of 541? False Does 52 divide 10717721? False Does 171 divide 4304871? False Does 13 divide 66960400? True Is 43 a factor of 188942043? True Is 145 a factor of 54688055? True Is 16 a factor of 1181282331? False Does 17 divide 550606098? True Does 36 divide 810023353? False Is 3 a factor of 10915020? True Does 22 divide 109111816? True Is 35334555 a multiple of 73? True Does 1839 divide 219347478? False Is 124 a factor of 7725031? False Is 678 a factor of 251205118? False Does 35 divide 629516607? False Does 27 divide 95642775? True Is 15 a factor of 378358214? False Is 43 a factor of 7616563? False Is 14 a factor of 2573802? True Does 21 divide 33854582? False Is 34264698 a multiple of 2? True Does 2360 divide 524222080? True Is 32 a factor of 2661170912? True Does 1180 divide 29295860? True Is 907 a factor of 44685169? True Is 85 a factor of 477339345? True Is 87449723 a multiple of 55? False Does 71 divide 9409083? False Is 141 a factor of 9696727? False Does 17 divide 15671736? False Is 25707372 a multiple of 17? False Is 2065 a factor of 11743655? True Is 11592268 a multiple of 42? False Is 1971847494 a multiple of 282? True Does 13305 divide 2392619992? False Does 62 divide 57831058? True Is 182646897 a multiple of 121? False Is 575 a factor of 105534704? False Is 270 a factor of 35893800? True Does 3063 divide 3017643096? True Does 20 divide 31504854? False Does 14 divide 332533166? True Does 75 divide 4074150? True Is 659802450 a multiple of 10? True Does 43 divide 1774265290? False Is 2849 a factor of 148148? True Is 75193224 a multiple of 12? True Is 75 a factor of 118508634? False Is 15082141 a multiple of 527? False Is 1853817923 a multiple of 11? False Is 289 a factor of 29065154? False Is 15 a factor of 261721992? False Is 278854400 a multiple of 17? True Does 35 divide 6088705? True Does 12 divide 9471240? True Is 53757600 a multiple of 400? True Does 2123 divide 23507637? False Does 1272 divide 90537144? True Does 1011 divide 15527326? False Is 14 a factor of 169713922? True Does 9 divide 23146478? False Does 196 divide 353274418? False Is 5969180 a multiple of 35? True Is 46357776 a multiple of 58? True Is 34 a factor of 28902100? False Does 31 divide 89239927? False Is 154 a factor of 44939340? False Does 170 divide 67673014? False Does 6 divide 8357178? True Is 18 a factor of 87666588? True Does 3 divide 3909365? False Is 149389020 a multiple of 722? True Is 192687638 a multiple of 1441? True Is 1887233240 a multiple of 1285? True Is 908 a factor of 64178348? True Is 70 a factor of 372414370? False Does 2044 divide 285818652? True Is 1560 a factor of 2369624? False Does 22 divide 135434222? True Does 723 divide 91166685? True Is 662 a factor of 113299698? False Is 148 a factor of 348795744? True Does 42 divide 565678176? True Does 80 divide 326777200? True Is 3 a factor of 121142898? True Does 8 divide 398969010? False Is 3342914010 a multiple of 51? False Does 423 divide 155942520? False Does 47 divide 6229658? False Is 1999931856 a multiple of 156? True Is 3763254762 a multiple of 3938? False Is 10 a factor of 2463590642? False Is 454 a factor of 537784165? False Is 8461884 a multiple of 31? True Is 96 a factor of 1284752640? True Is 263421901 a multiple of 42? False Does 30 divide 209785920? True Does 5 divide 27624805? True Is 15 a factor of 22479070? False Is 370 a factor of 2049148032? False Is 279575885 a multiple of 5142? False Is 37 a factor of 2309355? True Is 446856702 a multiple of 621? False Does 10 divide 74208940? True Is 148615582 a multiple of 451? False Is 62856835 a multiple of 64? False Does 15 divide 30124125? True Does 279 divide 1194831729? True Is 497666839 a multiple of 2244? False Is 109093889 a multiple of 19? False Does 715 divide 34769735? True Is 22002328 a multiple of 9256? False Does 31 divide 709606789? False Is 91480821 a multiple of 2? False Does 11204 divide 2270347483? False Is 1548 a factor of 21642588? True Is 715130825 a multiple of 49? False Is 891772856 a multiple of 104? True Is 1961 a factor of 189846371? True Is 138887661 a multiple of 14? False Is 1005903287 a multiple of 28? False Does 344 divide 317943288? False Does 173 divide 11876385? False Does 582 divide 134614854? True Does 136 divide 52684360? True Is 971567 a multiple of 89? False Is 12 a factor of 772568681? False Does 151 divide 23258530? True Does 73 divide 17961694? False Does 234 divide 94020966? True Is 1852 a factor of 37769688? True Is 935094897 a multiple of 22? False Does 31 divide 19521444? True Is 173 a factor of 1103567? True Is 3446182 a multiple of 874? True Is 925 a factor of 1267603350? True Is 13634146 a multiple of 97? False Is 68538926 a multiple of 800? False Does 5 divide 50303261? False Does 1117 divide 373078? True Is 620 a factor of 21812220? True Does 1334 divide 39067524? True Is 103 a factor of 11178487? True Is 6604 a factor of 3168635125? False Does 22 divide 184519774? False Is 567928055 a multiple of 1005? False Is 166816056 a multiple of 3641? True Is 47836250 a multiple of 34? False Is 104852776 a multiple of 14? True Is 1633 a factor of 434110188? True Does 94 divide 772410596? True Is 28829990 a multiple of 14? True Is 22634908 a multiple of 11? False Is 252 a factor of 218018897? False Is 37890089 a multiple of 82? False Is 365967456 a multiple of 5444? True Is 66 a factor of 683473247? False Is 12007466 a multiple of 285? False Does 6768 divide 992145263? False Does 1525 divide 137876378? False Is 1243 a factor of 76239114? False Does 81 divide 98826966? True Is 307620150 a multiple of 3? True Is 186 a factor of 3478267971? False Is 248 a factor of 78400488? True Does 39 divide 32786140? False Is 22 a factor of 905474658? True Is 2040 a factor of 833613360? True Does 47 divide 132279014? False Is 66 a factor of 80061432? True Is 277857520 a multiple of 1520? True Does 44 divide 34559151? False Is 117 a factor of 425468241? False Is 20191697 a multiple of 18? False Is 4 a factor of 16501400? True Is 124795055 a multiple of 25? False Is 52 a factor of 4684466? False Is 39669147 a multiple of 27? False Is 1409021562 a multiple of 78? True Is 17781162 a multiple of 483? True Is 46776975 a multiple of 17? False Is 1756 a factor of 2342816625? False Does 1002 divide 246683966? False Does 52 divide 12988036? False Does 12 divide 1120920743? False Is 8975460 a multiple of 10? True Is 671898227 a multiple of 141? False Does 19 divide 196931086? True Does 608 divide 3286442? False Is 66 a factor of 398331780? True Does 278 divide 40596062? True Is 118614951 a multiple of 13? True Does 32 divide 7057568? True Is 350963 a multiple of 30? False Is 665 a factor of 16733395? True Does 1286 divide 359982709? False Is 2160162 a multiple of 54? True Is 13484982 a multiple of 1146? True Is 15986106 a multiple of 171? True Is 44067612 a multiple of 76? True Does 3 divide 16520944? False Is 50871730 a multiple of 24? False Is 1123365008 a multiple of 1912? True Is 7 a factor of 188922076? True Is 13853036 a multiple of 1120? False Does 125 divide 3038577625? True Is 3079164855 a multiple of 15? True Does 1597 divide 48417846? True Does 285 divide 782441315? False Does 90 divide 42120962? False Is 10859194 a multiple of 105? False Is 11566110 a multiple of 67? False Is 125979033 a multiple of 33? False Is 116 a factor of 31228824? True Is 2617 a factor of 1113960593? False Does 882 divide 827595594? True Is 48806308 a multiple of 1678? True Is 1992 a factor of 570976920? True Does 37 divide 117739772? True Is 29 a factor of 229507479? True Is 516 a factor of 144078036? True Is 36 a factor of 4281502? False Is 23 a factor of 1835785116? False Is 33545946 a multiple of 7? True Does 45 divide 19242405? Tr
{ "pile_set_name": "DM Mathematics" }
3715. 705971835 What is the smallest common multiple of 8545560 and 408? 8545560 Calculate the least common multiple of 45565520 and 91040. 91131040 Calculate the common denominator of 1/565 and 24/444403. 251087695 What is the smallest common multiple of 7167 and 43335? 103527315 Find the common denominator of -17/12031776 and -61/1305. 1744607520 Find the common denominator of 145/44694 and 67/481369278. 1444107834 What is the common denominator of 31/19656 and -99/1628354? 175862232 Calculate the least common multiple of 14976 and 41292. 17177472 What is the smallest common multiple of 50486996 and 9415? 252434980 What is the common denominator of 43/5177674 and -17/90? 232995330 Calculate the least common multiple of 18650 and 6346. 59176450 What is the least common multiple of 4252236 and 84? 29765652 What is the common denominator of -71/5292062 and 23/1022? 37044434 What is the common denominator of 37/315770067 and -71/1033227? 4105010871 What is the least common multiple of 138684 and 3468? 40079676 Calculate the common denominator of 23/3773082 and 109/371994. 26411574 Calculate the lowest common multiple of 372436129 and 117. 3351925161 What is the common denominator of -57/173444 and 61/60260? 19946060 Find the common denominator of -103/1871870 and -35/63206. 24334310 Calculate the lowest common multiple of 53585 and 479920. 734757520 Calculate the least common multiple of 23154856 and 10. 115774280 Calculate the lowest common multiple of 33096 and 23774. 393412152 What is the least common multiple of 2639442 and 17810? 13197210 Find the common denominator of 113/627072 and -33/26232512. 157395072 Find the common denominator of -99/113770 and -1/248. 455080 What is the least common multiple of 62124 and 3142439? 37709268 Calculate the least common multiple of 2052198 and 9234891. 18469782 Calculate the smallest common multiple of 13587714 and 70. 67938570 Calculate the lowest common multiple of 10199 and 42159752. 295118264 Find the common denominator of -29/13465790 and 55/2693158. 13465790 Calculate the smallest common multiple of 23586891 and 1709195. 117934455 What is the least common multiple of 90604 and 11778520? 11778520 What is the smallest common multiple of 36 and 70274826? 140549652 Calculate the common denominator of -49/62343 and -173/150. 3117150 Find the common denominator of -76/708405 and -4/66483. 189144135 What is the common denominator of 47/4284434 and -26/194747? 4284434 Calculate the smallest common multiple of 9056 and 47584752. 95169504 Calculate the smallest common multiple of 20 and 85337140. 85337140 Calculate the smallest common multiple of 1389304 and 4862564. 9725128 Calculate the lowest common multiple of 1198125 and 1775. 1198125 Calculate the lowest common multiple of 5036691 and 4959. 15110073 What is the lowest common multiple of 96940 and 840? 4071480 What is the common denominator of -25/72 and -22/306381? 7353144 What is the common denominator of 8/879 and 71/886155? 259643415 What is the least common multiple of 256251690 and 5853465? 2306265210 What is the common denominator of -34/24201279 and 50/29579341? 266214069 Calculate the least common multiple of 3430455 and 5439. 24013185 Calculate the lowest common multiple of 99 and 83221497. 915436467 Calculate the common denominator of 151/7111644 and 49/14223288. 14223288 What is the common denominator of 91/5820375 and 23/4233? 5820375 Find the common denominator of 17/8389291 and 33/29317. 159396529 Calculate the least common multiple of 73147620 and 832. 1170361920 Calculate the smallest common multiple of 531156 and 1195101. 4780404 Calculate the smallest common multiple of 21649580 and 2398. 238145380 What is the common denominator of 193/15078420 and 145/462? 165862620 What is the smallest common multiple of 1463033 and 266006? 2926066 Calculate the common denominator of -54/2082077 and -55/876664. 16656616 What is the least common multiple of 3876 and 3180? 1027140 Calculate the least common multiple of 63 and 13753642. 123782778 What is the lowest common multiple of 523916 and 3274475? 13097900 What is the lowest common multiple of 122850 and 2988? 20393100 What is the common denominator of -73/1143681 and -107/23497446? 258471906 Find the common denominator of 71/1227 and 7/620044. 1860132 What is the lowest common multiple of 1457280 and 437760? 110753280 What is the common denominator of -7/19170 and 173/16234860? 146113740 Calculate the smallest common multiple of 11312475 and 1190. 2692369050 Calculate the lowest common multiple of 25878 and 5532876. 1255962852 What is the lowest common multiple of 2189139 and 123? 89754699 Calculate the common denominator of -13/2166626 and 101/7737950. 54165650 Calculate the smallest common multiple of 1061200 and 300. 3183600 What is the common denominator of -67/36693216 and 163/8408862? 403625376 What is the smallest common multiple of 54176391 and 243? 487587519 What is the smallest common multiple of 60 and 1142666? 34279980 Find the common denominator of 111/14 and -73/27318424. 27318424 Find the common denominator of -89/2553512 and -1/20. 12767560 What is the lowest common multiple of 7969 and 56380062? 732940806 Find the common denominator of 59/29253591 and -91/12. 117014364 Calculate the lowest common multiple of 5712216 and 16660630. 199927560 Calculate the common denominator of 37/70920 and -119/197000. 1773000 Find the common denominator of -47/3391200 and 13/22680. 71215200 What is the common denominator of -1/101916 and 41/1475100? 28026900 Calculate the lowest common multiple of 2588376 and 323547. 2588376 Find the common denominator of -103/12432 and 59/18564. 2747472 What is the smallest common multiple of 37841852 and 6460804? 264892964 Calculate the common denominator of -62/160545 and 19/449526. 2247630 Calculate the smallest common multiple of 1570760 and 21400. 7853800 What is the lowest common multiple of 5520284 and 44? 5520284 Calculate the lowest common multiple of 22173360 and 1007880. 22173360 What is the lowest common multiple of 36360 and 1572570? 6290280 Calculate the lowest common multiple of 14763015 and 1000. 2952603000 Find the common denominator of 47/1156400 and -97/132160. 4625600 What is the smallest common multiple of 27036 and 8577? 25765308 What is the smallest common multiple of 4890160 and 88? 4890160 Calculate the smallest common multiple of 169580447 and 43762696. 1356643576 Calculate the lowest common multiple of 12001 and 44230231. 486532541 Calculate the common denominator of -121/598758 and -59/3592548. 3592548 Calculate the common denominator of -77/72 and 87/18464. 166176 What is the common denominator of 71/2455712 and 75/616? 27012832 Calculate the lowest common multiple of 2964000 and 4800. 5928000 What is the common denominator of -61/89376 and 163/442764? 67300128 Find the common denominator of 5/19291917 and 59/69. 19291917 What is the least common multiple of 15626 and 29552? 230889776 Calculate the smallest common multiple of 136201 and 2629727. 34186451 What is the common denominator of 119/1231254 and -149/162? 3693762 Find the common denominator of 61/17283 and 20/2063901. 1698590523 Find the common denominator of -107/12 and -29/77737704. 77737704 Calculate the common denominator of -59/7433250 and -23/21250. 37166250 Find the common denominator of -131/3370068 and -103/312. 6740136 What is the smallest common multiple of 48454 and 5911388? 5911388 What is the least common multiple of 21600 and 934800? 16826400 Find the common denominator of 27/6997430 and -133/104094. 62976870 Calculate the common denominator of 203/2738580 and 43/2340. 8215740 What is the lowest common multiple of 9 and 209814714? 209814714 What is the least common multiple of 26 and 9478659? 246445134 Find the common denominator of -49/131230 and 6/1167947. 11679470 Calculate the common denominator of 74/7745457 and 87/898024. 61963656 Find the common denominator of 59/42443136 and -25/144. 42443136 Calculate the common denominator of 115/173124 and -47/9637236. 28911708 Find the common denominator of -103/7417548 and 89/68284. 318954564 What is the least common multiple of 13434260 and 10747408? 53737040 Calculate the common denominator of 1/44 and -101
{ "pile_set_name": "DM Mathematics" }
se Is -0.2 smaller than -2/97? True Is 0.1 != -220/9? True Which is greater: 94 or 93? 94 Which is smaller: 260 or 262? 260 Which is smaller: 2 or -903? -903 Which is bigger: -12/5 or 0.2? 0.2 Does 1/11 = -0.26? False Which is smaller: -9/5 or -1? -9/5 Which is smaller: 15 or 14? 14 Are 5 and 58/11 non-equal? True Which is greater: 36 or -5/4? 36 Does -180/11 = -1.3? False Which is smaller: -633 or -634? -634 Which is smaller: 34 or 2.1? 2.1 Is 9148 < 9149? True Which is smaller: -1 or -46/203? -1 Is 1268 greater than or equal to 1268? True Are -97 and 1 non-equal? True Is -7846 smaller than -7846? False Which is smaller: 120 or 361/3? 120 Which is smaller: -1 or -8/1245? -1 Which is smaller: -39 or -115? -115 Is 2/5973 > 1? False Is 19/821 < 1? True Is 0 > -1.23? True Is 701 != 700? True Which is smaller: 19 or 4? 4 Which is smaller: -14037 or -14038? -14038 Which is greater: 56 or 31? 56 Which is greater: -14032 or -14029? -14029 Is 7.7 >= -3? True Which is smaller: -6409 or -6414? -6414 Is 654 smaller than 654? False Which is smaller: 7 or 6? 6 Which is smaller: -1 or 173? -1 Is -41 at most -34? True Which is smaller: -1 or -99/134? -1 Is -59 greater than -636/11? False Which is greater: -1033/11 or -94? -1033/11 Is 718 greater than 733? False Which is greater: 1 or 1/397? 1 Which is smaller: -13307 or -13308? -13308 Is 0 bigger than -190/191? True Is 770 <= 772? True Which is bigger: 0 or -2/2463? 0 Which is smaller: 1/1087 or -1? -1 Which is smaller: -3374 or -3371? -3374 Is 11400 < 11400? False Which is bigger: -47/2 or 2/107? 2/107 Is 0.2 <= 1? True Is -11/2996 less than 0? True Is 4716 bigger than 4716? False Is -5938 <= -5940? False Is -384.9 bigger than 3? False Is -261 < -263? False Is 573 > 7430/13? True Which is bigger: -59 or 26? 26 Which is smaller: 10 or -5? -5 Is -84 at least -90? True Which is greater: 1/3 or -14/117? 1/3 Does 11 = 194/19? False Is -599 >= -599? True Is 108 at most 107? False Is -134 equal to -138? False Is 54 smaller than 52? False Which is smaller: -54 or -53? -54 Do -1059 and -1058 have different values? True Which is greater: -1/3097 or 1? 1 Is -1089 smaller than -3? True Which is greater: -0.022 or -7? -0.022 Which is smaller: -9455 or -9454? -9455 Which is smaller: -34 or -48? -48 Is 56 at most 601/11? False Which is smaller: 0.2 or -17.7? -17.7 Which is greater: 41 or 5? 41 Is 4974 at least 4974? True Which is smaller: 8 or 371? 8 Is 126/5 at least as big as 26? False Which is bigger: -110 or -1? -1 Are -1903 and 1/3 non-equal? True Which is bigger: 10 or -366.4? 10 Is -2/5407 bigger than 1/4? False Is 13418 != 3? True Which is bigger: -328 or -0.08? -0.08 Is 2 > -1.288? True Which is smaller: -31 or -70? -70 Are 6/4997 and -1 equal? False Is 0.1155 at most as big as -2? False Does -0.3 = 0.003? False Which is bigger: -1 or -9/91? -9/91 Which is smaller: 213.6 or 1/3? 1/3 Which is smaller: 584 or 4086/7? 4086/7 Which is smaller: -23 or -22? -23 Is -0.1 at least 624? False Which is greater: 1 or -16/539? 1 Which is bigger: -31 or -67? -31 Which is greater: 0 or -8/527? 0 Is 0 greater than 2/1139? False Which is smaller: -2 or -282? -282 Are 2/1177 and -1 non-equal? True Which is greater: -1 or -86/45? -1 Is 2/39 greater than or equal to 0.48? False Is -2/5 at least 1535? False Which is bigger: 882 or 1? 882 Which is smaller: 0 or -3/290? -3/290 Which is smaller: -112 or 1? -112 Which is greater: 28 or 3/4? 28 Is -582 at most as big as -582? True Which is bigger: -1684 or -8416/5? -8416/5 Is -1/19 <= 71? True Which is smaller: -16 or -1021? -1021 Is -12 at most as big as -6? True Is 1408 at most 1406? False Is 3/1246 at least 0? True Which is smaller: 646 or 2/9? 2/9 Which is bigger: -338/55 or -5? -5 Is 26 less than or equal to 24? False Is 23 > 28? False Which is smaller: 2/255 or 0? 0 Which is smaller: 657/5 or 132? 657/5 Does 0 = 2/993? False Are -2/295 and -1 nonequal? True Which is smaller: 35/261 or 1? 35/261 Is 6.7 bigger than -5.6? True Is 1 bigger than -1/5092? True Is -1/4 less than -407? False Which is greater: -45763/5 or -9154? -45763/5 Which is smaller: -692 or -694? -694 Which is greater: -40/279 or 0? 0 Which is smaller: 1/67 or 3? 1/67 Does -29104 = -29104? True Which is greater: 190 or 187? 190 Which is smaller: 2 or 13? 2 Which is smaller: -10 or 1? -10 Is 7575 bigger than 1? True Is -26 smaller than -24? True Is 231 at least 228? True Which is smaller: -4/19765 or 1? -4/19765 Is 5/73 <= -1? False Is 2461/7 < 0.1? False Which is greater: -1/331 or 1? 1 Which is smaller: 31 or -5/6? -5/6 Which is smaller: 5 or 81? 5 Is 2508 at least as big as 2/7? True Is -43 at most as big as 107? True Is -2886 greater than -2886? False Is -1037 less than -1036? True Which is smaller: -1 or 1/11870? -1 Is 1766 not equal to 1766? False Which is smaller: -46 or -54? -54 Is -1 not equal to 53/660? True Is 1 >= 1/4? True Are -675 and 0.12 equal? False Does -28 = -20? False Which is bigger: 2097 or 2095? 2097 Which is greater: -5 or -1476? -5 Are 2/12691 and -1 nonequal? True Are 7 and 6 unequal? True Which is smaller: -1952 or -1950? -1952 Is -1/38 < -5? False Is 2 greater than -15.405? True Are -15/74 and -1 unequal? True Is 122 bigger than 119? True Which is smaller: -644/25 or -25? -644/25 Is -186 greater than or equal to -184? False Which is smaller: 2385 or 2384? 2384 Which is bigger: -96 or 62? 62 Is 1/17 equal to 14/13? False Which is smaller: -309 or -1552/5? -1552/5 Is 89 >= 119? False Which is smaller: 105 or -3? -3 Which is smaller: -0.0357 or -1/4? -1/4 Are -1 and 4/33 nonequal? True Which is greater: 0 or -40/141? 0 Which is smaller: -1 or 414? -1 Does 2 = -1098? False Is -1/2 < 0.138? True Which is greater: -0.3 or 1.64? 1.64 Which is smaller: -121 or -116? -121 Which is greater: 1/869 or -1? 1/869 Is -0.4 greater than 8/39? False Is 733 > 745? False Is -2 less than 207? True Is -4/9 at most 23? True Which is bigger: -402 or -13? -13 Which is smaller: 123 or 129? 123 Is 150/13 less than or equal to 11? False Is 92/25 greater than -0.05? True Are 3251/6 and 543 non-equal? True Is -115 less than -124? False Which is greater: 1 or 15/169? 1 Which is bigger: -7/54 or -1? -7/54 Is -7 bigger than -7? False Is -1/1293 equal to 0.1? False Which is smaller: 1.29 or 3/25? 3/25 Do 4/97 and -1 have the same value? False Which is smaller: 0 or -234/685? -234/685 Is 3 less than 89? True Which is smaller: 5725 or 5729? 5725 Is -5804 <= 0.2? True Do -107 and -102 have the same value? False Is 7 at least 7? True Which is smaller: 31 or -300? -300 Which is greater: 101 or 109? 109 Which is smaller: -5 or -98/25? -5 Which is smaller: -21/13 or -3? -3 Is 180 greater than 167? True Which is smaller: 174 or 188? 174 Which is smaller: -4460 or 0.2? -4460 Is 143 <= 141? False Is -2216 at least as big as -2212? False Are 1/59 and 54 equal? False Is 1431 smaller than 1430? False Which is greater: -1 or 94/225? 94/225 Which is bigger: -3/491 or -1? -3/491 Which is bigger: -5/513 or 1? 1 Is 1/2886 bigger than -1? True Which is greater: -444 or -442? -442 Is 3/200 at most as big as -1? False Is 346 bigger than 347? False Which is smaller: -50 or -97/2? -50 Is 10675 at most as big as 10674? False Is -1/242 smaller than 0? True Is 331/90 at most 5? True Which is bigger: 1/7 or 74? 74 Which is smaller: -1 or 4? -1 Is -10/131 >= 1? False Are 1660 and 1660 non-equal? False Which is bigger: -3 or 4/123? 4/123 Are -5437 and 0 equal? False Is 65/11 smaller than 5? False Is 0.049 >= -2? True Is -226/5 < -46? False Do 54114 and 54114 have the same value? True Which is greater: 3/18659 or 1? 1 Is -17/109 less than or equal to 1? True Which is greater: 0 or -1/1634? 0 Is -2/5 smaller than 3118? True Which is bigger: -42962/7 or -6138? -42962/7 Which is bigger: -8/5 or -0.15? -0.15 Which is bigger: 0 or -8/239? 0 Which is smaller: 1/9 or -165? -165 Which is smaller: -1 or 3/11? -1 Is 317 greater than or equal to 298? True Is 1/9 not equal to 1? True Is 2016 at least 2017? False Are 0.03 and 0.289 non-equal? True Do -1 and 1/277 have the same value? False Which is smaller: 1 or -2/1013? -2/1013 Is 194 at least 193? True Which is smaller: -37 or 34? -37 Are 0 and -1 non-equal? True Is 12570 at least 12570? True Which is smaller:
{ "pile_set_name": "DM Mathematics" }
0? False Is 336 a multiple of 24? True Is 17 a factor of 2350? False Does 26 divide 1035? False Does 9 divide 28206? True Is 20 a factor of 1287? False Is 5 a factor of 9? False Is 2997 a multiple of 37? True Does 55 divide 1450? False Is 15 a factor of 927? False Is 102 a factor of 4688? False Is 5 a factor of 472? False Is 9 a factor of 911? False Does 316 divide 43673? False Is 5 a factor of 130? True Is 109 a factor of 4796? True Is 1161 even? False Is 330 a factor of 97350? True Does 85 divide 2890? True Is 28 a factor of 14672? True Is 13 a factor of 31? False Is 78 a factor of 28644? False Is 2037 a multiple of 4? False Is 12 a factor of 7140? True Is 17 a factor of 2278? True Is 55 a factor of 1595? True Is 20 a factor of 87740? True Is 4 a factor of 20? True Is 70 a factor of 131600? True Is 10 a factor of 36911? False Is 90 a factor of 399? False Is 2916 a multiple of 9? True Is 46 a factor of 230? True Is 27 a factor of 2525? False Does 66 divide 9956? False Is 110 a factor of 4817? False Does 97 divide 5141? True Is 25194 a multiple of 26? True Does 22 divide 418? True Is 1464 a multiple of 92? False Is 1383 a multiple of 38? False Does 2 divide 90? True Does 155 divide 18290? True Is 97 a factor of 52380? True Does 47 divide 3854? True Does 31 divide 5146? True Is 12 a factor of 20964? True Does 61 divide 4026? True Does 27 divide 2626? False Does 14 divide 49? False Is 2856 a multiple of 102? True Does 20 divide 70063? False Does 93 divide 17611? False Is 20 a factor of 836? False Is 8740 a multiple of 20? True Does 73 divide 1022? True Is 23 a factor of 735? False Does 6 divide 28195? False Is 14 a factor of 905? False Is 21 a factor of 9030? True Is 76388 a multiple of 315? False Does 11 divide 163? False Is 47633 a multiple of 323? False Is 12 a factor of 240? True Is 31 a factor of 64082? False Does 8 divide 515? False Is 319 a factor of 22798? False Is 558 a multiple of 15? False Is 12 a factor of 410? False Is 109 a factor of 13317? False Is 21 a factor of 1104? False Is 14 a factor of 34776? True Is 76 a factor of 2883? False Is 16 a factor of 1424? True Is 3945 a multiple of 9? False Does 39 divide 1828? False Is 21 a factor of 504? True Does 97 divide 6014? True Is 60645 a multiple of 195? True Does 28 divide 140? True Is 163 a factor of 2119? True Does 4 divide 223? False Does 3 divide 2506? False Does 16 divide 18304? True Is 111 a factor of 18147? False Is 14 a factor of 29638? True Does 27 divide 1550? False Is 185 a factor of 36815? True Is 8 a factor of 304? True Is 91 a factor of 91? True Is 19603 a multiple of 10? False Is 95 a factor of 4596? False Does 4 divide 213? False Is 147 a multiple of 3? True Is 13 a factor of 450? False Is 651 a multiple of 7? True Does 111 divide 13963? False Is 832 a multiple of 26? True Does 8 divide 3469? False Does 43 divide 1803? False Is 59 a factor of 1320? False Is 7 a factor of 22477? True Is 13 a factor of 923? True Does 197 divide 11032? True Is 19 a factor of 178? False Is 22931 a multiple of 19? False Is 18 a factor of 2088? True Is 702 a multiple of 71? False Is 72 a multiple of 9? True Is 21 a factor of 3564? False Is 884 a multiple of 13? True Is 15 a factor of 31257? False Is 131 a factor of 3927? False Is 420 a multiple of 60? True Is 15 a factor of 19920? True Is 22137 a multiple of 47? True Is 3 a factor of 498? True Does 12 divide 7134? False Is 23788 a multiple of 76? True Does 24 divide 3792? True Does 35 divide 476? False Is 8 a factor of 2000? True Is 19 a factor of 9785? True Does 15 divide 8534? False Does 54 divide 6318? True Is 17 a factor of 2754? True Is 14 a factor of 3220? True Is 2 a factor of 1363? False Is 38367 a multiple of 44? False Is 4 a factor of 11347? False Is 432 a multiple of 24? True Is 29 a factor of 811? False Is 37059 a multiple of 11? True Does 51 divide 7625? False Is 34 a factor of 4046? True Does 3 divide 10819? False Is 52 a factor of 3276? True Does 10 divide 2236? False Does 115 divide 345? True Is 41 a factor of 43419? True Is 36190 a multiple of 14? True Does 3 divide 180? True Is 20 a factor of 17380? True Is 28 a factor of 782? False Does 60 divide 29069? False Is 1235 a multiple of 10? False Does 37 divide 3899? False Is 32 a factor of 2784? True Does 79 divide 30415? True Is 21 a factor of 41168? False Is 12 a factor of 720? True Is 7754 a multiple of 66? False Does 11 divide 3003? True Is 3 a factor of 96? True Is 1470 a multiple of 31? False Is 380 a multiple of 15? False Does 19 divide 756? False Does 112 divide 17136? True Is 22 a factor of 129? False Is 233 a multiple of 20? False Is 6579 a multiple of 3? True Does 8 divide 1394? False Is 30 a multiple of 4? False Is 149 a factor of 27549? False Does 11 divide 6160? True Is 47 a multiple of 35? False Is 94 a factor of 24371? False Is 705 a multiple of 13? False Is 10880 a multiple of 128? True Is 11 a factor of 374? True Is 243 a factor of 3380? False Does 65 divide 1439? False Is 100 a factor of 10000? True Is 10 a factor of 22710? True Is 3 a factor of 16? False Is 68 a factor of 478? False Does 62 divide 6594? False Is 23 a factor of 920? True Is 7833 a multiple of 12? False Is 54817 a multiple of 287? True Does 70 divide 2432? False Is 1828 a multiple of 13? False Is 12 a factor of 9360? True Is 782 a multiple of 46? True Is 18 a factor of 15822? True Does 44 divide 5439? False Is 28 a factor of 504? True Is 30 a factor of 3210? True Is 814 a multiple of 76? False Is 1480 a multiple of 10? True Is 3 a factor of 96? True Does 8 divide 8488? True Is 24 a factor of 631? False Is 9 a factor of 249? False Does 21 divide 567? True Is 3 a factor of 340? False Is 16074 a multiple of 38? True Is 158 a factor of 8848? True Does 9 divide 52173? True Does 40 divide 35160? True Does 23 divide 43267? False Is 9504 a multiple of 36? True Does 173 divide 54090? False Is 51 a multiple of 10? False Is 4624 a multiple of 55? False Is 1177 a multiple of 11? True Is 4751 a multiple of 78? False Does 3 divide 84? True Does 2 divide 446? True Is 5 a factor of 2120? True Does 6 divide 7134? True Is 2695 a multiple of 35? True Is 21276 a multiple of 27? True Is 118556 a multiple of 173? False Is 4250 a multiple of 25? True Is 154 a multiple of 14? True Does 24 divide 9720? True Is 36 a factor of 47196? True Is 12276 a multiple of 36? True Is 1295 a multiple of 13? False Does 9 divide 9027? True Is 4317 a multiple of 77? False Does 191 divide 2674? True Is 266 a multiple of 9? False Does 28 divide 13297? False Is 5258 a multiple of 11? True Does 26 divide 1898? True Is 115020 a multiple of 20? True Is 116 a factor of 4082? False Is 8 a factor of 335? False Is 42804 a multiple of 26? False Does 48 divide 8832? True Does 10 divide 6873? False Does 3 divide 668? False Does 124 divide 111600? True Is 27 a multiple of 3? True Is 45835 a multiple of 23? False Is 224 a multiple of 16? True Is 5 a factor of 625? True Does 14 divide 1750? True Is 445 a multiple of 5? True Does 6 divide 20562? True Does 42 divide 617? False Is 3 a factor of 4453? False Is 3444 a multiple of 123? True Does 11 divide 935? True Is 17 a factor of 118252? True Is 126 a factor of 27468? True Is 17 a factor of 603? False Does 60 divide 300? True Is 605 a multiple of 14? False Is 981 a multiple of 9? True Is 3982 a multiple of 67? False Is 1548 a multiple of 6? True Is 241 a factor of 9952? False Is 990 a multiple of 66? True Is 611 a multiple of 13? True Is 76508 a multiple of 12? False Is 7 a factor of 343? True Does 75 divide 5625? True Is 984 a multiple of 19? False Does 176 divide 4872? False Is 10 a factor of 6750? True Does 12 divide 8076? True Is 88 a factor of 28989? False Is 63894 a multiple of 23? True Is 40 a factor of 147164? False Does 15 divide 5556? False Does 21 divide 2336? False Is 74 a factor of 9916? True Is 540 a multiple of 20? True Does 10 divide 2290? True Is 351 a multiple of 13? True Is 2211 a multiple of 25? False Is 23 a factor of 4947? False Is 17 a factor of 4914? False Is 214 a multiple of 6? False Is 2555 a multiple of 61? False Is 14 a factor of 59561? False Is 17 a factor of 5474? True Is 30 a factor of 750? True Is 92 a factor of 21153? False Is 5400 a multiple of 225? True Is 2298 a
{ "pile_set_name": "DM Mathematics" }
*o = -3. Let x(u) = -9*u**2 - 17*u. Let q(w) = -5*w**2 - 9*w. Let l(n) = k*q(n) + 4*x(n). What is l(p)? 4 Let i(f) = f**2 + 4*f + 1. Suppose 2*y + 67 = -3*j - 95, -4*j = 2*y + 216. Let k be ((-1)/((-3)/6))/(36/j). Calculate i(k). -2 Let v = -8 - -6. Let l(w) be the first derivative of 25*w**3/3 + 2*w**2 - 7*w + 154. Let g(t) = 13*t**2 + 2*t - 3. Let k(f) = v*l(f) + 5*g(f). Give k(1). 16 Let w(l) = l - 23. Suppose r = 2*r - 4, d = 5*r + 1. Let v be w(d). Let u(n) = 3*n**2 + 3*n. Give u(v). 6 Let a(r) = 66*r - 44*r - 19*r - 8*r**3 + 2. Give a(-1). 7 Let f(h) = -h - 2. Suppose 0 = -2*o + 4*p + 170, 3*o - 3*p - 261 = p. Suppose o*g - 89*g + 8 = 0. What is f(g)? 2 Let w(f) = f**2 + 3*f - 6. Let a be w(-4). Let i(g) = g**3 + 3*g**2 - 2. Let j be i(a). Let n(s) = s**3 - j - 1 + 3*s - 4*s**2 + 1. Calculate n(2). -4 Suppose -5*h + 13 = -67. Suppose m - 5*m = -h. Let u(y) = -58*y - 6*y**2 + 3 + 9*y**2 - 2 + 63*y - y**3. Determine u(m). 5 Suppose -15*d = -q - 17*d + 23, -2*d - 3 = -q. Let u(x) = -x**2 + 15*x - 10. Determine u(q). 16 Let s(a) = a**3 + 9*a**2 + 13*a + 1. Let h be s(-5). Suppose 0 = -5*p - p + h. Let m(w) = 6 - 4 - w - 6*w**2 - w**3 + 3 + 2*w**3. What is m(p)? -1 Let g(r) = r**2 - 2*r + 1. Let x = -245 - -253. Suppose 18*q - x = 10. Calculate g(q). 0 Suppose 4*k - 44 = -5*f - 7, 0 = 4*f + 12. Let y(a) = 5*a + 31*a**2 - a**3 - 38*a**2 + 6 + 5*a - k*a. What is y(-6)? -12 Let z(x) be the first derivative of -14*x**3 - x**2/2 + x + 1. Suppose -151*n + 17 + 150 = 16*n. Give z(n). -42 Let o(m) = 11*m**2 - 8*m + 6. Let k(t) = 4*t**2 - 3*t + 2. Suppose 0*w - q = -4*w + 31, 2*w = -5*q + 21. Let z(r) = w*k(r) - 3*o(r). Calculate z(-4). -18 Let b(f) = -f**3 - 11*f**2 - 13*f - 14. Suppose 5*g - 5*k = -0*k + 35, -3*g + 5*k + 19 = 0. Let s be (4 - g)/(10/25). Calculate b(s). 16 Suppose 236 = 39*b - 16*b - 82*b. Let m(q) be the second derivative of 1/6*q**3 - q + 1/12*q**4 + 0 + 1/2*q**2. Give m(b). 13 Let i = -654 + 658. Let z(c) = 7*c**2 - c**3 - 9*c - i + 9*c - 7*c. Suppose 18 = -q + 4*q. Calculate z(q). -10 Let z be 3 + (12/5 - (-54)/(-135)). Let n(g) = 6 - 14*g + z*g**2 - 6*g**2 + 7*g. Calculate n(-6). 12 Let w(j) be the second derivative of 1 - 3/2*j**2 + 20*j - 1/3*j**4 - 5/6*j**3. Calculate w(-3). -24 Let v(d) = 28 - d**2 + 14 + 11 - 424*d + 216*d + 211*d. Calculate v(10). -17 Let a = 38 - 34. Suppose a = k, k + 8 = -2*i + 6*i. Let t(o) = 3*o**3 - i*o**2 + o**2 - 2*o**2 + 3*o**2. What is t(-1)? -4 Let q(j) be the first derivative of -19*j + 1/2*j**2 + 2. Calculate q(0). -19 Let r(i) = -i**3 - 2*i**2 + 2*i - 4. Suppose -o - 6 = -5*d, 0*d = 2*d - 6. Suppose -41 = -o*q - 68. Give r(q). -1 Let q(m) = -43*m + 7. Let y be (-8*1 - (110/(-10) - -4))/(-1). Calculate q(y). -36 Let y(p) = 7252*p - 29 - 7254*p + 11 + 10 + 2*p**2 + 9. Let f(j) = 3*j**2 - 2 + 3*j**3 - 2*j**3 - 2*j**3. Let v be f(3). Determine y(v). 13 Let i(n) = 8*n**2 + 18*n + 26. Let z be (-66)/(-6) + 15/(-3). Let p(a) = z*a + 32*a**2 + 9 - 29*a**2 + 0*a. Let h(k) = -4*i(k) + 11*p(k). Determine h(7). 2 Let f(s) = s**3 - 6*s**2 + 3*s + 7. Let l = -1133 - -1136. Give f(l). -11 Let x(z) = -9*z + 17*z**2 - 6*z**2 - 3*z + 0*z**2 + 31 - 10*z**2. Give x(5). -4 Suppose -227*i + 1483 = -1695. Let h(v) = 24*v - 330. Calculate h(i). 6 Suppose -3*v + 21 + 0 = 0. Let y(a) = -11*a**2 - 17*a + 21. Let r(w) = 3*w**2 + 2*w - 2. Let x(g) = -4*r(g) - y(g). What is x(v)? 1 Let x(q) = -7*q**2 - 7. Let l(o) = -61*o**2 + 17*o + 7. Let i(s) = -11*s**2 + 3*s + 1. Let t(r) = -34*i(r) + 6*l(r). Let z(a) = 6*t(a) + 7*x(a). Give z(-3). -10 Let g(o) = -o**3 - 4*o**2 + 5. Let y be (1 - 1)*(-2)/(-6). Let f(v) = 4*v + 4. Let k(s) = 9*s + 8. Let b(m) = -7*f(m) + 3*k(m). Let r be b(y). Calculate g(r). 5 Let d(r) be the second derivative of r**3/3 - 4182*r. Let t(h) be the second derivative of h**4/12 + 4*h**3/3 + 5*h**2/2 + h. Let l be t(-6). What is d(l)? -14 Suppose -2*b = 3*d + 77, -3*b + 670*d = 672*d + 123. Let w(k) = -2*k**3 - 87*k**2 - 44*k - 52. Calculate w(b). -9 Let l(k) = -568083*k + 77 + 150 + 284028*k + 284031*k. Determine l(9). 11 Suppose 0 = 2*o - k - 168, -4*o + 138 + 194 = -3*k. Let m = 88 - o. Let b(f) = -2*f + m + f**2 - 5 + 2 + 0*f**2. Determine b(-1). 2 Suppose 4*m - 16 = 2*l, -3*l + 2*m + 9 = 17. Suppose 2*t - 16 = -2*t. Suppose l = -t*f, -14 + 4 = -2*x - 5*f. Let s(q) = q**3 - 4*q**2 - 5*q - 3. What is s(x)? -3 Let v(k) = k**3 + 4*k**2 + 4. Let w be v(-3). Suppose -3*q - 1 + w = 0. Let g(l) = 33 + 28 - 60 + 2*l. Give g(q). 9 Let x(j) = j**2 + 8*j + 11. Let w be x(-6). Suppose -7*s - 480 = -15*s. Let i(l) = -46*l + 125*l - s*l + 1 - 2. What is i(w)? -20 Let r(a) = 8*a + 124. Suppose -24*q = 4*q - 10*q + 270. Determine r(q). 4 Let g(f) = -7 + 7191*f - 7194*f - 10. Give g(14). -59 Let a(y) = -y - 2. Let l(b) = -b**3 - 20*b**2 + b + 32. Let m be l(-20). Let d = -5 - -23. Suppose -m*j + 18 = -d*j. Give a(j). 1 Let p(a) be the second derivative of a**4/12 - 7*a**3/6 - 3*a**2 - 2*a - 148. Determine p(10). 24 Let a(z) = -z**2 - z + 2. Let l(y) = -2*y**2 + y + 5*y - 32 + 10 + 4*y + 18. Let b(q) = -a(q) + l(q). What is b(7)? 22 Suppose -2*t + 2*i - 28 = 0, 0 = -2*t + 3*i - 29 + 1. Let d(w) = -6*w - 68. Determine d(t). 16 Let g(u) = 3*u**2 - 35*u - 52. Let q be g(13). Let n(b) = 2 + q*b + 2 + 4*b + 5 - 3*b. What is n(7)? 16 Let c = 310 + -337. Let l = -32 - c. Let p(o) = -o**2 - 6*o - 3. Calculate p(l). 2 Let r(y) = y**3 - 6*y + 2. Let x(v) be the third derivative of -v**6/120 - v**5/60 + 7*v**4/24 - v**3/6 + 49*v**2. Let i(w) = -5*r(w) - 4*x(w). Calculate i(4). 2 Let c(o) be the second derivative of o**7/2520 - 7*o**6/720 + o**5/60 + 4*o**4/3 - o**2 - 15*o. Let u(l) be the third derivative of c(l). Determine u(7). 2 Let g(w) = 3*w**2 - 19*w + 9. Suppose -46*z + 970 - 694 = 0. Give g(z). 3 Let g(z) be the first derivative of z**2/2 - 18*z - 1238. Let a = -15 + 29. Give g(a). -4 Let k(y) = -y**3 - 6*y**2 - 7*y - 6. Let p(d) = -d**3 + 5*d**2 - 13*d + 7. Let a be p(7). Let o = a - -178. Determine k(o). -10 Let k(a) = -2*a**3 - 18*a**2 - 3*a + 3. Let z(d) = -3*d**2 + 1. Let x(j) = k(j) - 6*z(j). Give x(-1). 2 Let w(i) = -62*i - 18. Let t(a) = 99*a + 27. Let j(l) = 5*t(l) + 8*w(l). Calculate j(-5). -4 Let l(g) = -56*g - 27. Let z(d) = 14*d + 7. Let p(r) = 3*l(r) + 11*z(r). Calculate p(-1). 10 Let d = 2495 + -2498. Let p(u) = -u**3 - 2*u**2. Determine p(d). 9 Let y be 80/(-88) - ((-1)/(-11) + 0). Let n(g) = g + 1. Let t(w) = 39*w**2 + 2*w + 3. Let r(u) = 4*n(u) - t(u). Determine r(y). -40 Let k(q) = 2*q**3 - 4*q**2 - 2*q + 9. Let y be k(3). Suppose 5*j + s - 2*s = 15, 3*j = 3*s + y. Let c(f) = f**3 - 3*f**2 - 2*f. Give c(j). -8 Let s(b) = 22*b - 2048. Let d be s(93). Let g(j) = 7*j**2 - 7*j - 3. What is g(d)? 39 Let t(y) = 5*y - 113. Let w be 5 + (-124)/(-1302) + (-334)/(-21). Give t(w). -8 Suppose 0 = 32*w - 35*w + 192. Let k(s) = 3*s + 2*s - 60 - 2*s**2 + w + s**2. What is k(7)? -10 Let j(r) = -3*r**3 + 11*r**2 - 19*r - 2. Let u(x) = 1577*x - 15768. Let a be u(10). Give j(a). -20 Let a(h) = 16*h - 62. Let o = 9577 - 9571. Determine a(o). 34 Let m(l) = l**2 - 20*l + 22. Let k = -6221 - -6239. Determine m(k). -14 Suppose -3*h - 3*w + 13 = -11, -3*w = h - 8. Let t(s) = s**3 - 8*s**2 - 6*s. Give t(h). -48 Let j(u) = -23*u**2 + 6. Let w(n) = -30*n**2 - 2*n + 5. Let i(z) = 4*j(z) - 3*w(z). Give i(4). 1 Let k(g) be the second derivative of -21*g**5/10 + g**3/6 - 1827*g. Give k(-1). 41 Let u(p) be the third derivative of -p**5/30 - p**4/24 + 2*p**3/3 + 83*p**2. Let t be ((-3 - -3) + 2)*(-30)/30. Give u(t). -2 Let y be 0 + 1 - 2*1. Let r be y + (-2 + 1)*2. Let z(d) = -d**3 - 16 + 41 - 14 - 3*d**2 - 14 - 2*d. Determine z(r). 3 Suppose -37*i - 3153 = 12*i + 1110. Let r(c) = -c**3 - 88*c**2 - 90*c - 267. Calculate r(i). -6 Let b(y) be the third derivative of -y**6/120 - y**5/10 + 7*y**4/24 - 5*y**3/3 - 2*y**2. Let k be (27/6)/(-3)*2 - 188/47. Determine b(k). -10 Let v(h) = -h. Suppose -29*o + 140 = 6*o. Suppose -3*j = -a + 9, o*a + 12 = -0*a. Give v(j). 4 Let q(c) be the third derivative of -c**4/24 + c**3/6 - 5*c**2. Let a(j) = j + 2. Let w be a(8). Suppose -5 = -3*b + w. Determine q(b). -4 Let q(z) = -z**3 - 4*z**2 + z + 9. Let b(x) = -281*x - 4. Let l be b(0). Calculate q(l). 5 Let v(w) = w**3 + 5*w**2 + 8*w - 2. Let c(g)
{ "pile_set_name": "DM Mathematics" }
83. What is the closest to 1/21 in o, 2, 1? o Let d = -2 + 2. Let n be (-12)/2 - (-8 - -7). Let s = -3034/221 - -180/13. What is the closest to d in n, s, -0.5? s Let i = 285.1 - 285. Which is the closest to i? (a) 3 (b) 11 (c) 0 c Let k be 110/165 + 32/(-30). What is the closest to -1/4 in 1.7, -1/2, k? k Let n = 0.06 - 5.06. Let c = 6 + -10. Let m = 3.7 + c. What is the closest to 2 in m, n, -3? m Let h = 16.29 - 16. Let x = -0.49 + h. Which is the closest to 1? (a) -2 (b) -0.5 (c) x c Let l be ((-5)/7)/(391/(-34) + 9). Let j = -2 + 2. Let s = 1 + j. Which is the closest to -0.3? (a) l (b) s (c) 0.3 a Let x = 74 - 73.98. Let g = 2.02 - x. Which is the nearest to 2? (a) g (b) -1 (c) -4 a Let y = -2130 + 2130.6. Which is the nearest to 0? (a) -0.27 (b) y (c) 0.5 a Let o be (2 - 3) + (-120)/(-124). Which is the nearest to o? (a) 4 (b) 0 (c) -5 b Let v = -3 - -1. Let g = 0.16 - 0.216. Let x = g + -0.344. Which is the nearest to 0? (a) x (b) 1 (c) v a Suppose 3*g - 21 = -2*m, 0*g = -2*m - g + 15. Let t be 2/2 - (m + 0). Which is the nearest to 2? (a) t (b) -0.1 (c) 2 c Let y = 6.09 - 6.33. What is the nearest to 1 in y, 0.3, -0.5, 5? 0.3 Let y = -0.27 - -1.27. What is the closest to y in 0.2, 2/11, -0.2? 0.2 Let i = 0.11 - 16.11. Let y = i + 19. Let f be -1 + (-1)/((-1)/2). What is the nearest to -1 in -1/2, f, y? -1/2 Let b(i) = -i**3 + 10*i**2 + 4*i - 33. Let c be b(10). Let s = 43/6 - c. What is the closest to -0.3 in -4/7, s, -0.3? -0.3 Let m(s) = -s + 9. Let y be m(7). Let z = 86 - 86.5. Let x = -0.43 + 0.03. Which is the closest to y? (a) x (b) z (c) 5 a Let m = 7 - 18. Let o = 47 - 42. Suppose 0 = -o*f + 10, r - 11 = 2*f - 6*f. What is the closest to -1 in m, -3, r? -3 Let m = -14 - -36. Let w = m + -21. What is the closest to w in 2/11, -0.1, 4? 2/11 Let a = -23 - -21. Let d = 0.22 + -1.12. Let j = -1 - d. What is the closest to -2 in a, 3/5, j? a Let x = 57 - 61. Let q be 6/(-15) - x/(-15). Let h = -0.1 + 0. What is the nearest to h in 0, 3, q? 0 Let y = -0.2 - -5.2. Let a = -1.4 + 1.3. Suppose -i - 5 = 2*b - 3, 2*i = -8. What is the closest to a in -5, b, y? b Let n be (1/3)/((-34)/(-306)). What is the closest to n in -3, -2, -0.1, 1? 1 Let p be 108/27*(2 - (-5)/(-4)). What is the nearest to 1/4 in 13, p, 5, 8? p Let k = -14 - -26. Let j = 12.4 - k. What is the closest to -4 in 0, j, -2? -2 Let i be 182/154 - (-2)/(-2). Which is the closest to -4? (a) 0.05 (b) i (c) 1/3 a Let r = -4.2 - -4. Suppose -18*g = -15*g - 9. Which is the nearest to g? (a) -2 (b) r (c) 0.2 c Let g = 42 + -19. Let m = -31 + g. Let k be (7/14)/(6/m). Which is the closest to 0? (a) 2/5 (b) -0.3 (c) k b Let p be (26/(-531))/((-2)/(-30)). Let s = 4/59 + p. Which is the nearest to -0.1? (a) s (b) 4/5 (c) 4 a Let w = -454/1043 - -1/149. Let j be (-3)/2*2/(-7). Which is the closest to 1? (a) -3 (b) w (c) j c Let t = 0.1575 + -3.1575. Let i = 3/58 + 89/522. Which is the closest to -1? (a) t (b) i (c) -0.3 c Let d = -371 - -367. Let j = -0.3 - 0.1. Which is the nearest to 0.1? (a) d (b) 1 (c) j c Let v = 2/577 + -581/1154. Let d = -0.5 - -1.5. Which is the closest to d? (a) -5 (b) v (c) -9 b Let j = -4496/13 + 346. Which is the closest to 0.02? (a) -4 (b) j (c) -2/7 b Let n = -176.8 + 177. Which is the closest to 1.2? (a) -2/7 (b) n (c) -0.5 b Let l be 5 + 11/((-242)/114). Let x = 81/2 - 42. What is the closest to -2/5 in x, 5, l? l Let n = -777 + 781. What is the closest to 2 in 0.3, 3/4, -3, n? 3/4 Suppose -17 = -3*r - 20. Let s be (2 - 3)*2 + 0 + r. Suppose l - 20 = -4*l. Which is the closest to 1.2? (a) s (b) l (c) 2 c Let s = 1 - 2. Let f(t) = 37*t - 27. Let o be f(4). Let y = 118 - o. Which is the closest to -2/7? (a) 0 (b) s (c) y a Let f be (-24 + 26)/(3/2). What is the nearest to 4 in 1/4, f, 1? f Let d = 0.71 + -0.7. Let x(s) = s**2 - 4*s - 5. Let f be x(5). Let o = 2/43 - 145/344. What is the nearest to f in o, 1, d? d Suppose -5*y = -2*y - t - 20, -3*y + 30 = -3*t. Which is the nearest to 2/3? (a) y (b) 3/8 (c) -0.06 b Let s = -9.8 + -1.2. Let v = 0.2 - 12.2. Let m = s - v. Which is the closest to m? (a) 0.5 (b) 3 (c) 1 c Let x = -18 + 17.951. Let r = -18.951 + x. Which is the closest to -1/4? (a) r (b) -1/4 (c) 0.3 b Let q(o) = -o + 14. Let s be q(10). Suppose g - 2 = s. Suppose 0 = g*n - 2*n + 28. Which is the nearest to 2/3? (a) n (b) -0.1 (c) -5 b Let z = 838 - 834. Let g = 2 - 2.01. Which is the nearest to 1? (a) z (b) -3/5 (c) g c Let m = -0.37 + 0.07. Let s = 4 + -5. Let u(n) = n**3 + 16*n**2 + 5*n + 82. Let i be u(-16). Which is the nearest to -1/2? (a) m (b) i (c) s a Let m = -0.65 - -57.65. Let f = -60.03 + m. Let g = 0.03 + f. Which is the closest to -1? (a) 2 (b) 0.2 (c) g b Let s be 5/105*(3 + 5 + -2). Which is the nearest to s? (a) 0.2 (b) 0.1 (c) 1 a Let s = -212 - -211.8. What is the closest to 43 in -4, 3, s? 3 Let z = 1157 + -1159. What is the closest to z in -0.3, 2, -1? -1 Let s be (-40)/18 + 10/45. Let o(b) = -1 - 6*b - 2 - 5 + b**2. Let r be o(7). What is the nearest to r in s, 0.1, 2? s Suppose 12 = 3*o - 6. Suppose o*n - 4 = 2*n. Let s be ((1 + -5)/(-32))/n. Which is the closest to -6/7? (a) 5 (b) s (c) 0.2 b Let i = -110 - -437/4. Let j = -631.2 + 631. What is the nearest to -2/7 in 17/4, j, i? j Let i = -13 + 9. Let r = 148 - 1330/9. What is the closest to -2/5 in i, -1/4, r? -1/4 Let f = -1836 - -1835.8. Let o = -0.1 + 0.1. What is the nearest to o in -4, 3, f? f Let x = -39 + 39.3. What is the closest to 1/4 in -0.2, x, -7? x Let h = 1.004 - 0.004. Let p = -3 + h. Which is the nearest to p? (a) 0 (b) 4 (c) -1 c Let l = -0.07 - 3.93. Let p = 126.28 - 125. Let h = p + -1.38. Which is the closest to 2/5? (a) 2/5 (b) l (c) h a Let w = -901 - -2704/3. Which is the closest to 1? (a) w (b) 2/11 (c) 28/11 (d) -4 a Let s = 1619 + -1629. Let h be ((-6)/(-15))/(1/(-5)). What is the nearest to h in s, -2, 0.5? -2 Let i = -94.1 - -94. Which is the nearest to -5? (a) 1 (b) -13 (c) i c Let w = -574.9 + 575. Which is the closest to 1? (a) w (b) -2/31 (c) -0.5 a Let b = 884 - 9722/11. What is the closest to 0 in -4, -1/4, b? b Let i be ((-42)/98)/(60/16 + -3). What is the nearest to -41 in -4, 0.5, 0, i? -4 Let z = 3.44 + -3.51. Which is the closest to 0? (a) z (b) -0.1 (c) -0.3 a Let o be (4/(-3))/((-12)/(-18)). Let f = 681 - 679. Which is the nearest to 0.1? (a) -2/13 (b) o (c) f a Suppose -4*f + 28 = -2*f - 5*j, 32 = 3*f - 5*j. Which is the nearest to -1/3? (a) f (b) -0.3 (c) -0.1 b Let g = -0.951 + 0.851. Which is the closest to g? (a) 1 (b) 3 (c) 4 (d) 3/28 d Let f = -23.983 - -24. Let m = -3.983 - f. What is the closest to 2 in m, 1/6, 0.3? 0.3 Let l = 2.29 - 0.29. Let g = 0.06 + -2.06. What is the closest to l in -1/3, -4, g? -1/3 Let j = -64 + 64. Suppose j = -17*f + 19*f - 10. What is the nearest to f in -2/7, -2/5, 0? 0 Let o be (-58)/4 - (-7)/(21/(-12)). Let p = -265/14 - o. Which is the closest to 0? (a) p (b) -1/6 (c) -3 b Let d = 0.4 - 0.2. Let p = -266.3 + 266. Let x be (-1)/(-3) + 26/(-42). Which is the nearest to x? (a) p (b) -3 (c) d a Suppose -4*z - 51 = 5. Let d be 64/z + (-4)/(-1). Which is the nearest to -0.8? (a) d (b) -1 (c) 0 b Suppose -3*d - 3*g + 6*g - 3 = 0, 14 = 2*d + 2*g. Suppose -d*n - n = 4*c + 12, c = 1. What is the closest to 0 in n, 2/3, -1/16? -1/16 Let y be -2*((-12)/8 + (-5)/(-5)). Let p = 2.6 + -3. Which is the closest to y? (a) p (b) -2/3 (c) 1 c Suppose -2*h - q + 7 = 1, -10 = 2*h - 3*q. Let a = 166.9 + -159. Let o = a - 8. What is the closest to 1 in 0.4, h, o? h Let l = 10 + -14. Let u(w) be the third derivative of w**4/24 - 7*w**3/6 - 3*w**2. Let y be u(5). Which is the closest to -0.1? (a) 2/11 (b) l (c) y a Let z = -4.02 + 0.02. Let u = 191 - 187. Which is the closest to u? (a) -0.4 (b) 0.2 (c) z b Let s = 0.081 - 0.081. Let j = -19 - -17. What is the closest to j in -3, s, 0.5? -3 Let o(t) = t + 4. Let y be o(-4). Let s = -102 + 107. Let v be ((-1)/15)/((-1)/2). What is the closest to y in 2, s, v? v Let d = -135/2 + 68. Which is the nearest to d? (a) 0.2 (b) 20 (c) 3/5 c Suppose 0*f + 10 = -5*f. Let z be 3/((-7)/f - 3/(-2)). Which is the nearest to -1? (a) 4
{ "pile_set_name": "DM Mathematics" }
j rounded to four decimal places? 0.0013 Let p = -182 - -181.999671. Round p to 5 decimal places. -0.00033 Let z = 3317 - 3317.0000007554. What is z rounded to 7 decimal places? -0.0000008 Let w = 487.9 - 2227.8. Let v = w - -1834. Let f = -88 + v. Round f to zero decimal places. 6 Let h = -6.9 - 0.1. Let a = -7.252 - -0.032. Let f = h - a. Round f to 1 decimal place. 0.2 Suppose 14*d - 10*d - 2048 = 0. Suppose -2*t = 5*r + 1304, -4*t + d = -0*r - 2*r. Round r to the nearest one hundred. -300 Let g = 4.47 - 4.46972. Round g to three decimal places. 0 Let m = 486.999998871 + -487. Round m to 7 decimal places. -0.0000011 Let h = 192.4 + -192.3097. Round h to 3 decimal places. 0.09 Suppose -2754 = -14*v + 48136. What is v rounded to the nearest 1000? 4000 Let i = 3911.69 + -3941. Let t = i - -32.6. Round t to the nearest integer. 3 Let m be 2/(-12) + (-52720330)/156. Let h = m - 1642049. What is h rounded to the nearest one hundred thousand? -2000000 Suppose 11*u - 12*u + 3 = 0. Let r be -91*3044 - (-12)/u. What is r rounded to the nearest 10000? -280000 Let h = -1004927206.9999846 + 1004927379. Let r = -172 + h. Round r to six decimal places. 0.000015 Let y = -25.987 + 26. Let u = -92 - -92.091. Let l = y - u. What is l rounded to two decimal places? -0.08 Let y = 196.0000931 - 196. Round y to five dps. 0.00009 Let m = 467155963.05 + -467019406.850062. Let h = 136559 - m. Let l = 2.8 - h. What is l rounded to five decimal places? -0.00006 Let f = 814.67 - 814.732417. Let j = -0.674527 - f. Let y = j - -0.61. What is y rounded to four dps? -0.0021 Suppose -14*t - 19938648 = -112240648. Round t to the nearest one million. 7000000 Suppose 11 = 5*g - 14. Suppose 0 = g*t - 7912 + 312. Suppose 0 = 2*n - 7*n - 2*m - 3858, -2*n + 5*m = t. Round n to the nearest one hundred. -800 Let b = 757030 + 382470. Round b to the nearest ten thousand. 1140000 Let s = 1.200514 + -1.2. What is s rounded to 5 decimal places? 0.00051 Let c = -271.0675 - -271. Round c to two dps. -0.07 Let b(a) = -a**3 + 4*a**2 + 7*a - 6. Let u be b(5). Let k be 6/(u/(-8)*-4). Suppose k - 15 = -2*r. Round r to the nearest ten. 10 Let s = -261.74 + 250. What is s rounded to 1 decimal place? -11.7 Let f = -1872 - 2083. Let k = 3964.387 + f. Let s = 0.013 + k. What is s rounded to zero dps? 9 Let a = -156.99999923 - -157. Round a to six decimal places. 0.000001 Let y = -11 - -15. Suppose 0 = -8*v + y*v + 16808. Let a be v/7 - 4/14. Round a to the nearest 100. 600 Let r = 0.8 + 1.2. Let b = 22 + r. Let g = 24.051 - b. Round g to 2 dps. 0.05 Let z be (-11399)/(-2) - -1 - (-6)/(-12). Round z to the nearest one thousand. 6000 Let q = -105.62 + 112.52636. Let c = -6.9 + q. What is c rounded to 3 decimal places? 0.006 Let g = -4877.148 - -4891. Round g to 1 dp. 13.9 Let r = 18.888 - 21.36384. Let l = -13.67114 - r. Let j = 11.2 + l. What is j rounded to 3 dps? 0.005 Let j = -16966 - -16845.59. Round j to the nearest ten. -120 Let p = 487.00000446 + -487. Round p to 6 decimal places. 0.000004 Let n(a) = 2*a + 24. Let b be n(-10). Suppose 0 = b*u + 5*y + 2245, -555 = u - 3*y - 2*y. What is u rounded to the nearest 100? -600 Let d = 4915517860302261 + -4915517573760280.00000072. Let v = -286541962 + d. Let t = 19 - v. Round t to 7 dps. 0.0000007 Let j = -11751213962.145001 - -11751208426. Let u = j - -5539.145. Let h = u - 3. Round h to 5 decimal places. 0 Let x = 5.07 + -5. Let s = x - 0.17. Let b = s + 0.10026. Round b to 4 decimal places. 0.0003 Let n = 146.0000288 - 146. What is n rounded to six decimal places? 0.000029 Suppose -3*y = g - 26802001, -7074763 = -2*y + 2*g + 10793235. Round y to the nearest one million. 9000000 Let n = 161 - 160.999375. Round n to 5 dps. 0.00063 Let r = 65060033.4209453 - 65060022. Let w = -6.4209446 + r. Let i = w - 5. Round i to 6 decimal places. 0.000001 Let i = -14 - -11.5. Let h = -2.488 - i. Let f = 0.01200058 - h. Round f to 7 decimal places. 0.0000006 Suppose 6*m + 4*a + 28 = 5*m, m = 2*a - 58. Round m to the nearest 10. -50 Let b = -525.8 + 530.897. Round b to 1 decimal place. 5.1 Let c = 0.06322 + -0.0634749. What is c rounded to six dps? -0.000255 Let h = -11.92 + 12. Let n = h + -16.08. Let p = n - -16.0000088. What is p rounded to six decimal places? 0.000009 Let q = -1767330 - -2693330. What is q rounded to the nearest one hundred thousand? 900000 Let f(j) = -13*j**2 + 42*j - 357. Let w be f(17). Round w to the nearest 100000. 0 Suppose -2*t - f + 6*f + 5248246 = 0, -2*t - 2*f = -5248246. Let h be 2*-662062 + 1/1. Let r = t + h. What is r rounded to the nearest one million? 1000000 Let w = 4143 + -4142.850032. Let k = w + -0.15. Round k to five decimal places. -0.00003 Let l = 1882.99805 + -1883. Round l to four decimal places. -0.002 Let f = 11 - 18. Let c = -16711125.18 + 16711132.17999991. Let l = c + f. What is l rounded to seven dps? -0.0000001 Let t be -14295444*-2*(-1)/(-2). Let v = t - 22735444. Round v to the nearest one million. -8000000 Let d = 13 - 9. Let c(q) = -5*q + 3*q - 5*q + d*q - 8*q**2. Let k be c(-10). What is k rounded to the nearest one hundred? -800 Suppose 0 = 2*l - 2, -4*r - 5*l = -l + 80497912. Let d = r + 46382587. Suppose -w - d = -858108. Round w to the nearest one million. -25000000 Let b = 87.2 + -6.3. What is b rounded to the nearest ten? 80 Let u = -14075.6948 + 14078. Let z = 0.191 - -2.109. Let x = z - u. Round x to 3 dps. -0.005 Suppose -5*h + 12*n - 8*n = -164520, -98705 = -3*h + n. What is h rounded to the nearest 1000? 33000 Suppose 14 = 3*l - w, -w = -l - 3 + 7. Suppose 1 = -3*z - l, -4*z = -5*y + 1375008. Round y to the nearest 10000. 280000 Let h = -8.1 + 11.1. Let q = h + -3.33. Round q to 2 dps. -0.33 Let v = -13107 + 8687. What is v rounded to the nearest one thousand? -4000 Let k = -0.138 - -0.137990084. What is k rounded to seven dps? -0.0000099 Let t = 14 + -24. Let y = t - -15. Suppose -y*g = -0*g + n + 15495, 5*g + 15485 = -3*n. Round g to the nearest one thousand. -3000 Let u = 4840168928159094 + -4840168883637643.39999949. Let j = u + -44521460. Let w = -9.4 - j. Round w to seven dps. -0.0000005 Let a = -888.9 + 6856.9. Let s = a + -5967.94751. Let m = s - 0.053. What is m rounded to four decimal places? -0.0005 Let a = -553.2 - -104.2. Let g = -409.4 - a. Round g to the nearest ten. 40 Let c = -7130.0010866 + 7130. Round c to 4 dps. -0.0011 Let m = -474.03 - -455.7. Round m to the nearest integer. -18 Let z = 7657 - 7657.3733. Round z to one dp. -0.4 Let o = 54.26 - 54. Let l = 91 + -85.76. Let p = l + o. What is p rounded to 0 dps? 6 Let o = 419.14 - 411. Let s = 8 - o. Let z = -0.1381 - s. Round z to 3 dps. 0.002 Let p = -4823.9799836 - -4824.14. Let g = p - 0.16. What is g rounded to 5 dps? 0.00002 Let y = 8243.1 - 8592. Round y to the nearest 10. -350 Let u = -8.2 + 15.1. Let b = u + -1.7. Let c = -6.74 + b. What is c rounded to 1 decimal place? -1.5 Suppose 8*o + 7350012 = 7*o + 4*i, -i - 22049997 = 3*o. Round o to the nearest 100000. -7400000 Suppose 25 = 3*o + 1. Let p be (-130509)/15 + (o/5 - 1). Round p to the nearest one thousand. -9000 Let q = -371 + 371.000418. What is q rounded to 5 decimal places? 0.00042 Let t = -496117 - 4193242. Let n = t - -3274692. Let a = n + 314667. What is a rounded to the nearest 1000000? -1000000 Suppose -113*v + 156 = -61*v. Let r = -1 + 1. Suppose r = 5*a - v*f - 13135, 2*a - f - 2*f = 5245. Round a to the nearest 100. 2600 Let y = -0.0563 - -1.7953. What is y rounded to one decimal place? 1.7 Let n = 0.081174 - 0.0816. Round n to 4 dps. -0.0004 Let u = -149.7717 + 0.6217. Let r = u - -146. Round r to 1 decimal place. -3.2 Let h = 152758096 + -229468096. What is h rounded to the nearest 1000000? -77000000 Let w be 171398 - 10 - (0 - -2). Let c be (-244904 + 3)*(0 - -14). Let i = w - c. What is i rounded to the nearest one million? 4000000 Let c = 74.3 - 81. Let a = 5 + c. Let t = a + 1.21. Round t to 1 decimal place. -0.5 Let x = 28 + -22. Suppose 705092 = -x*j + 8*j. Let u = 218546 - j. What is u rounded to the nearest 10000? -130000 Suppose -2*i + 4*q = 0, 4*i - 5*q = 6 - 3. Let d be ((-142355)/i)/((-3)/(-168)). Let c = -7485940 - d. Round c to the nearest 1000000. -4000000 Let a = -116 + 116.047. Let v = 0.041 + -0.06. Let r = a - v. Round r to tw
{ "pile_set_name": "DM Mathematics" }
44 - -657. Suppose 0 = -5*g - 2*m + w, -3*g - 4*m = -m - 195. Suppose 0 = 5*z - 15, 2*l - g = l - 5*z. What is the tens digit of l? 4 Let s(l) = -l + 21. Suppose 0*h = -h - 9. Let k be s(h). Let r = 41 - k. What is the units digit of r? 1 Let l = 30 + -15. Let j = l - 21. What is the units digit of (-4)/(-8)*j - -41? 8 Suppose -1113 = -6*m + 1665. What is the units digit of m? 3 Suppose 0 = 5*b + 5*t + 30, 5*b - 2*t + 1 = 6. What is the tens digit of 3/(6*b)*(-2 + -176)? 8 Let o = 725 + 1388. What is the tens digit of o? 1 Let c(j) = -2*j + 19. Let o(u) = u + 2. Let h(i) = 4*c(i) - 36*o(i). What is the units digit of h(-2)? 2 What is the tens digit of (-5748)/(-14) + (3 - (-25)/(-7))? 1 Suppose -24 = 3*y + 3*y. What is the units digit of 20/2*(y - -5 - 0)? 0 Suppose -52 = -12*i + 248. What is the units digit of i? 5 Suppose -w = 5, y + w = -w + 13. Suppose -5*c - 85 = -0*c. Let s = y + c. What is the units digit of s? 6 Suppose 229*u = 235*u - 7626. What is the tens digit of u? 7 Let b(l) = 39*l - 380. What is the units digit of b(36)? 4 Let a be 6/1*(-10)/30. Let y(g) = g**2 + 3*g + 5. Let s be y(a). What is the units digit of 24 - 0*s/(-3)? 4 Let b be ((-6)/5 - -2)*315/(-14). Let h(f) = -3*f + 44. What is the units digit of h(b)? 8 Let i = -22 - -124. What is the units digit of i? 2 Let a = 2288 - 930. What is the hundreds digit of a? 3 Suppose -16*p + 4015 = -3089. What is the tens digit of p? 4 Let h be -4 + (-12)/(-3) - 4. What is the units digit of h/10 - 1*(-422)/5? 4 Suppose 0 = 2*g - 1205 - 3193. What is the tens digit of g? 9 Let o be ((-216)/42)/(8/(-28)). Suppose -3*j = -0*j + 3*i - 21, 3*i - 25 = -4*j. Let n = o + j. What is the tens digit of n? 2 What is the units digit of ((-35)/(-20))/(6/1560)? 5 Let d(g) = 7*g**2 + 364. What is the units digit of d(0)? 4 Suppose -2*n - 2*k + 15 = -7, 4*k = 8. Suppose n = 4*u - 19. What is the units digit of u? 7 Let y(r) be the third derivative of r**6/120 + 7*r**5/30 - 5*r**4/24 + 7*r**3/6 - r**2. What is the tens digit of y(-14)? 7 What is the hundreds digit of -5 + (-25512)/(-39) - (-16)/(-104)? 6 Let a = 57 - 60. Let t = 20 - 5. What is the units digit of -3 - 1 - t/a? 1 Let q(o) = 4*o**2 + 14*o - 239. What is the hundreds digit of q(14)? 7 What is the tens digit of (((-4326)/(-9))/7)/((-4)/(-6))? 0 Let d be (0 + 18/(-4))*(-896)/(-42). Let q be -66 - (0 + 1)/1. Let v = q - d. What is the units digit of v? 9 Let f = -46 - -49. Suppose -4*h = f*j - 204 - 22, -2*h - 272 = -4*j. What is the units digit of j? 0 Let z be 635/(-5) + 3 + -2. Let v = 5 - -25. What is the units digit of (-1)/5 - z/v? 4 Let r(t) = 26 - 2*t - 5*t**2 + 5*t**2 + 3*t**2 - 10*t. Let i(a) = a**2 - 4*a + 9. Let c(p) = -17*i(p) + 6*r(p). What is the units digit of c(7)? 4 Let q(z) = 278*z**2 - 5*z + 9. What is the hundreds digit of q(2)? 1 Let w = 6 + -29. Let c = 70 + w. What is the units digit of c? 7 Let a(y) be the second derivative of -y**3/6 + 17*y**2/2 - 11*y. What is the units digit of a(8)? 9 Let s(q) = -q**3 - 6*q + 283. What is the tens digit of s(0)? 8 Let p = -910 + 1975. What is the tens digit of p? 6 Let w = 12 + 10. Let c be -140*2 + -6 + 2. What is the tens digit of c/(-6)*33/w? 7 Let v(p) = p**2 + p - 130. What is the tens digit of v(-19)? 1 Let s = -18 + 13. Let y = s + 6. What is the tens digit of (-135)/(-3) - y - -4? 4 What is the hundreds digit of 265/212 + (-7519)/(-4)? 8 Let k = 43 - 51. What is the tens digit of -1*(-2)/k + (-8683)/(-76)? 1 Suppose -1 = 2*u + u + p, -4*p = -5*u - 30. Let w be 1/4*4 - u. Suppose 0*y = w*h - 2*y - 120, 3*y = 0. What is the tens digit of h? 4 Let i be 9/15*20/24*0. Suppose i = -6*s + 10*s - 640. What is the hundreds digit of s? 1 Suppose 5*x - 860 = -220. Suppose 7*t - x = 222. What is the units digit of t? 0 Suppose -3*t - 4*h + h - 396 = 0, t = 4*h - 107. Let s be t/(-3) + 6/9. What is the units digit of (-3)/(2 + (-89)/s)? 3 What is the tens digit of 7007/22 - 3/(-6)? 1 Suppose -137 = -4*y + 91. Let p = y + -21. What is the tens digit of (p - 9)*(-2)/(-3)? 1 Let m(i) = 139*i**3 + 2*i - 1. What is the tens digit of m(1)? 4 Suppose 2*r = 7*r - 20. Let g(l) = 4*l**2 + 3*l + 3*l**2 - 6*l**2. What is the tens digit of g(r)? 2 Let s(b) = -5*b + 10. Let j be s(4). Let w be ((-12)/j)/((-4)/(-10)). Suppose 85 = 5*u + 4*g + 4, w*u + 3*g - 51 = 0. What is the tens digit of u? 1 Suppose 4*t - 3*p = 3984, -977 = -t + 9*p - 13*p. What is the hundreds digit of t? 9 Let x be ((-1)/2)/((-2)/4). Let v(f) = 3*f**2 - f. Let j be v(x). Suppose -o - 105 = -j*b - b, -o = -2*b + 70. What is the tens digit of b? 3 Let t = 75 - -35. Let d = 191 - t. What is the units digit of d? 1 Suppose -2*a - 82 = 24. Let w = a - -60. What is the units digit of w? 7 Suppose 3*h - 7 = 17. Let k = h + -3. Suppose 3*w + 25 = k*w + 3*z, 40 = 5*w + 3*z. What is the units digit of w? 5 Suppose 0 = 4*b - b + 3, 5*b = x - 5. Suppose d + 16 = 4*k, -d + 20 = -x*d + 5*k. Suppose d*s + s = 16. What is the units digit of s? 6 Let m be (540/42)/(-5) - 4/(-7). What is the tens digit of 0 + m*(-41 + 2)? 7 Suppose -g + 4*g = 15. Let h be 6*4 + 0 + 1. Suppose -g*n = -h - 135. What is the tens digit of n? 3 Let m = -10 - -13. Suppose -5*o + 5*c + 25 = c, -o + m*c + 16 = 0. What is the tens digit of (o/(-3))/(8/(-480))? 2 Suppose 2*q - 2*h = 1142, 0 = 2*q + 3*h - 1240 + 83. What is the units digit of (0 + 1/2)*q? 7 Let u be (-18)/4 + 30/20. Let z = 61 + u. Suppose 0 = 2*s - 16 - z. What is the tens digit of s? 3 Let q = 16 - 0. Suppose -q = c + 36. Let d = c - -73. What is the tens digit of d? 2 What is the tens digit of (-186)/(-217)*3710/2? 9 Let v(b) = -b**3 - 35*b**2 - b + 22. What is the units digit of v(0)? 2 Let k(p) = p**3 - 8*p**2 - 9*p + 6. Let u be k(9). Let l(j) = -j**3 + 12*j**2 - 10*j + 11. What is the units digit of l(u)? 7 Suppose 5*n - 2 = 4*u, 0 = -3*u - 0*u - n + 8. Suppose -u*p = -20 + 14. Suppose 0 = 5*q - 83 + p. What is the tens digit of q? 1 Suppose 0 = -2*g + 2*z - 5*z + 1307, 4*g + 3*z - 2611 = 0. What is the tens digit of g? 5 Suppose r + 5*b = 4*r - 5015, -2*r + b = -3355. What is the thousands digit of r? 1 Let j(d) = -8*d**3 - 6*d**2 - 3*d + 3. What is the units digit of j(-3)? 4 Let g = 302 + 428. What is the tens digit of g? 3 Let q(p) = 6*p**3 - 5 - 5*p**3 + 7*p**2 - 7 - 2*p. Let y be q(-7). Suppose -3*t - y*t + 165 = 0. What is the units digit of t? 3 Let r(q) = -1001*q - 47. What is the tens digit of r(-2)? 5 Let s = -15 - -17. Suppose -7 = -h + 5*v, -4*v + s - 7 = -h. What is the tens digit of (-9)/h + 44/2? 2 Let s(p) be the first derivative of -p**4/4 - 8*p**3/3 - 4*p**2 - 10*p + 1. Let i(q) = q - 27. Let c be i(19). What is the tens digit of s(c)? 5 Suppose 57*g - 177 = 54*g. What is the tens digit of g? 5 Let j(u) = u**2 + 22*u + 16. What is the tens digit of j(24)? 2 Suppose -3*g + 6*u - 2*u = -1564, -7*g + 3608 = u. What is the tens digit of g? 1 Let i(n) = 8*n**2 + 84*n - 15. What is the units digit of i(7)? 5 Let x = -28 + 33. Suppose -103 - 64 = -4*z - v, 5*z = x*v + 190. What is the tens digit of z? 4 Let v be (-44)/(-11)*(1 - -13). Let h = v - 119. What is the tens digit of (h/(-6))/(1/2)? 2 Let l(i) = -2*i - 9. Let j be l(-5). What is the tens digit of 58*j + (-16 - -14)? 5 Let l = 2 + 8. Suppose 476 = l*a - 534. What is the hundreds digit of a? 1 Suppose 5*m + z + 6 = -3*z, -4*m = 2*z. Suppose 0 = -3*j, -m*o + 27 = -o + j. What is the units digit of o? 7 Suppose -2*n + 1234 = -4*z, 0 = 4*n + 2*z - 1755 - 723. What is the hundreds digit of n? 6 What is the tens digit of (-1 - 2)*4264/(-123)? 0 Let v(n) = 2*n**2 - 2*n - 1. Let l be v(2). Suppose 30 = -2*f - l*f. What is the tens digit of 13*-5*f/15? 2 Suppose -20*g = 31*g - 61455. What is the units digit of g? 5 Suppose -4*k + 4*u = -7*k + 523, 2*k = u + 334. What is the tens digit of k? 6 Suppose -3*k = -10*j + 5*j + 20, 0 = -j + 4. Suppose 5*z + g = 5*g + 82, -2*z + 4*g + 40 = k. Suppose 2*t + z = 62. What is the tens digit of t? 2 Suppose 5*q = -2*q + 2870. What is the tens digit of q? 1 Suppose 8*c = -429 - 1491. Let x = -95 - c. What is the hundreds digit of x? 1 Suppose -67 = 2*g - 35. Let j = g + 40. What is the tens digit of j? 2 Suppose 0 = 5*y - 5*j - 1580, -4*y + 6*j - 8*j + 1276 = 0. What is the hundreds digit o
{ "pile_set_name": "DM Mathematics" }
remainder when 40643 is divided by 457. 427 What is the remainder when 2962746 is divided by 3857? 570 What is the remainder when 21206734 is divided by 456? 454 Calculate the remainder when 172012 is divided by 3171. 778 What is the remainder when 671862 is divided by 29211? 9 Calculate the remainder when 2473410 is divided by 3846. 432 Calculate the remainder when 52615 is divided by 423. 163 Calculate the remainder when 27505 is divided by 26099. 1406 What is the remainder when 20527 is divided by 20359? 168 What is the remainder when 6704535 is divided by 230? 35 What is the remainder when 685150 is divided by 685137? 13 What is the remainder when 618826970 is divided by 4766? 4764 What is the remainder when 36341 is divided by 16637? 3067 What is the remainder when 23493551 is divided by 188? 131 Calculate the remainder when 39085 is divided by 1830. 655 What is the remainder when 392317 is divided by 6431? 26 Calculate the remainder when 135592 is divided by 45179. 55 What is the remainder when 29493185 is divided by 9830980? 245 What is the remainder when 49380 is divided by 9711? 825 Calculate the remainder when 9567736 is divided by 29. 27 What is the remainder when 374668 is divided by 93654? 52 What is the remainder when 9405 is divided by 1080? 765 Calculate the remainder when 14170007 is divided by 83. 81 What is the remainder when 23760694 is divided by 463? 460 What is the remainder when 2186640 is divided by 78094? 8 Calculate the remainder when 681335 is divided by 301. 172 What is the remainder when 34174 is divided by 26573? 7601 What is the remainder when 81568005 is divided by 442? 441 What is the remainder when 407814 is divided by 81544? 94 Calculate the remainder when 325169 is divided by 13005. 44 What is the remainder when 4596078 is divided by 2506? 74 Calculate the remainder when 163883 is divided by 4963. 104 Calculate the remainder when 221546 is divided by 1429. 51 Calculate the remainder when 607814 is divided by 2285. 4 What is the remainder when 251703 is divided by 4663? 4564 What is the remainder when 274228 is divided by 39166? 66 What is the remainder when 170314 is divided by 569? 183 What is the remainder when 18488 is divided by 3282? 2078 What is the remainder when 1239613 is divided by 2811? 2773 What is the remainder when 1978 is divided by 228? 154 Calculate the remainder when 6787823 is divided by 53. 7 What is the remainder when 56748 is divided by 14150? 148 What is the remainder when 8380443 is divided by 7? 1 What is the remainder when 26094336 is divided by 2293? 2289 What is the remainder when 19177961 is divided by 249? 230 What is the remainder when 244489563 is divided by 134? 131 What is the remainder when 430103 is divided by 73? 60 What is the remainder when 829884 is divided by 78? 42 Calculate the remainder when 1369723 is divided by 689. 680 What is the remainder when 123428 is divided by 126? 74 Calculate the remainder when 139859 is divided by 3774. 221 Calculate the remainder when 443857 is divided by 221915. 27 Calculate the remainder when 339976 is divided by 8696. 832 Calculate the remainder when 29989633 is divided by 9188. 1 Calculate the remainder when 57943830 is divided by 59. 48 What is the remainder when 15819154 is divided by 5272981? 211 Calculate the remainder when 271077 is divided by 17. 12 Calculate the remainder when 704664 is divided by 704602. 62 Calculate the remainder when 727614 is divided by 103841. 727 What is the remainder when 405278 is divided by 1388? 1370 Calculate the remainder when 6918041 is divided by 4896. 4889 Calculate the remainder when 4676654 is divided by 294. 290 Calculate the remainder when 2126505 is divided by 1063150. 205 What is the remainder when 164383 is divided by 20151? 3175 Calculate the remainder when 1245 is divided by 1098. 147 What is the remainder when 140202493 is divided by 4? 1 Calculate the remainder when 4543115 is divided by 757173. 77 What is the remainder when 25707947 is divided by 286? 265 Calculate the remainder when 3291263 is divided by 64. 63 Calculate the remainder when 1162681 is divided by 290314. 1425 Calculate the remainder when 18874086 is divided by 183. 15 Calculate the remainder when 211143 is divided by 69816. 1695 Calculate the remainder when 172319 is divided by 19080. 599 What is the remainder when 1795249 is divided by 122? 19 Calculate the remainder when 3276471 is divided by 6. 3 What is the remainder when 96168 is divided by 96161? 7 Calculate the remainder when 5454974 is divided by 7545. 7484 Calculate the remainder when 377087 is divided by 188496. 95 Calculate the remainder when 3530761 is divided by 252. 241 Calculate the remainder when 7433442 is divided by 1858347. 54 Calculate the remainder when 2866407 is divided by 35. 12 Calculate the remainder when 43280074 is divided by 19. 12 What is the remainder when 38312715 is divided by 4041? 4035 What is the remainder when 1808505 is divided by 11446? 37 What is the remainder when 12023566 is divided by 375736? 14 What is the remainder when 45787783 is divided by 802? 801 Calculate the remainder when 12342417 is divided by 18. 15 What is the remainder when 119046480 is divided by 9? 6 What is the remainder when 657814 is divided by 1100? 14 What is the remainder when 1207155 is divided by 3361? 556 What is the remainder when 4312185 is divided by 15971? 15 Calculate the remainder when 5769923 is divided by 4435. 4423 What is the remainder when 260328 is divided by 95? 28 Calculate the remainder when 16460211 is divided by 5614. 5577 What is the remainder when 292933 is divided by 6103? 6092 What is the remainder when 95950 is divided by 94842? 1108 Calculate the remainder when 127192 is divided by 341. 340 What is the remainder when 2535447 is divided by 1153? 0 What is the remainder when 148975 is divided by 779? 186 Calculate the remainder when 233044468 is divided by 219. 217 What is the remainder when 89279 is divided by 1855? 239 What is the remainder when 15602217 is divided by 27? 24 Calculate the remainder when 458054 is divided by 89. 60 What is the remainder when 5349791 is divided by 50? 41 What is the remainder when 142544 is divided by 6786? 38 What is the remainder when 7121150 is divided by 169551? 8 What is the remainder when 13488 is divided by 177? 36 Calculate the remainder when 229693 is divided by 13411. 1706 What is the remainder when 4423049 is divided by 232770? 419 What is the remainder when 8664263 is divided by 1237751? 6 What is the remainder when 1499128 is divided by 91? 85 Calculate the remainder when 360455807 is divided by 110. 107 What is the remainder when 3225951 is divided by 806433? 219 Calculate the remainder when 112945803 is divided by 801. 798 What is the remainder when 373570 is divided by 4242? 274 What is the remainder when 8279387 is divided by 591383? 25 What is the remainder when 553825 is divided by 2576? 2561 What is the remainder when 10425626 is divided by 54? 8 Calculate the remainder when 8175474 is divided by 3425. 3424 What is the remainder when 5944509 is divided by 494? 207 Calculate the remainder when 3202789 is divided by 291157. 62 What is the remainder when 2974607 is divided by 106235? 27 Calculate the remainder when 36862248 is divided by 26. 20 What is the remainder when 3219303 is divided by 993? 990 What is the remainder when 141024166 is divided by 4135? 4126 What is the remainder when 22946098 is divided by 21129? 4 What is the remainder when 1419791 is divided by 195? 191 Calculate the remainder when 245734 is divided by 295. 294 Calculate the remainder when 4073653 is divided by 339466. 61 What is the remainder when 820633 is divided by 487? 38 What is the remainder when 3622311 is divided by 60? 51 Calculate the remainder when 706757 is divided by 27182. 25 What is the remainder when 50327415 is divided by 20? 15 Calculate the remainder when 1322302 is divided by 9860. 1062 What is the remainder when 17159116 is divided by 35? 16 What is the remainder when 17861698 is divided by 2808? 10 Calculate the remainder when 1791 is divided by 269. 177 What is the remainder when 13016274 is divided by 124? 118 What is the remainder when 37730958 is divided by 229? 2 What is
{ "pile_set_name": "DM Mathematics" }
- 4*f**2. Determine w(c(y)). y**4 Let f(a) = 23644*a - 2. Let y(p) = 2*p**2. Give y(f(i)). 1118077472*i**2 - 189152*i + 8 Let l(s) = 34*s**2. Let w(b) be the third derivative of -2*b**5/15 + 2*b**2. Determine w(l(a)). -9248*a**4 Let n(c) = 12*c - 5*c + 240 - 121 - 119. Let p(x) = 3*x**2 - 5. Let b(f) = 2*f**2 - 2. Let v(z) = -5*b(z) + 2*p(z). Calculate n(v(a)). -28*a**2 Let y(o) = 2*o + 18*o - 19*o. Let k(f) = -2*f**2 + 0*f**2 + 0*f**2 + 7 + f**2. Let r(p) = -2. Let j(l) = 4*k(l) + 14*r(l). What is j(y(s))? -4*s**2 Let i(a) = -5*a**2 + 7*a**2 + 7*a**2. Let y(g) be the first derivative of -g**3 + 393. What is i(y(d))? 81*d**4 Let w(z) = 7*z - 5. Let s(m) = 77*m - 56. Let q = -82 - -138. Let a(i) = q*w(i) - 5*s(i). Let b(y) = -y. Give b(a(n)). -7*n Let j(b) = -5*b - 6. Let r(k) = 1. Let c(d) = j(d) + 6*r(d). Let y(i) = 2*i + 9. Give y(c(p)). -10*p + 9 Let v(t) = -2*t. Suppose 4*q + 3 = 3*j + 8, 4*q = -j + 9. Let u(b) = -b**2 - b**2 + 5*b**q. Give v(u(d)). -6*d**2 Let r(x) = 2*x + 255. Let d(c) = 3*c. What is d(r(i))? 6*i + 765 Let l(q) = 2*q**2. Let i = -13 - -15. Let t(j) = 6*j**i + 0*j**2 - j**2 + 6*j**2. What is l(t(n))? 242*n**4 Let k(m) = -16*m**2. Let h(a) = -229*a. Calculate h(k(g)). 3664*g**2 Let x(c) = -54697*c**2. Let n(l) = 2*l. Determine x(n(z)). -218788*z**2 Let t = 7 - 3. Suppose -x + 2*u = -17, 2*x - 4 - 34 = 5*u. Let g(a) = -2*a + x*a + a + t*a. Let i(c) = -2*c**2. Calculate g(i(k)). -24*k**2 Let m(i) be the second derivative of -7*i**4/12 + 3*i. Let s(x) be the second derivative of x**3/2 + 5*x. Calculate m(s(w)). -63*w**2 Let r(t) = t**3 + 2*t**2 - 5*t - 4. Let g be r(-3). Let q(o) = o + o**g - 2*o + o. Let k(v) = v**2. Give q(k(b)). b**4 Let i(g) = g**2. Let m(x) = 284271*x**2. What is i(m(b))? 80810001441*b**4 Let r(m) = -666219*m. Let d(c) = 3*c. Determine d(r(j)). -1998657*j Let f(i) = 4*i**2. Let u(l) = 21050*l. Calculate u(f(o)). 84200*o**2 Let h(n) be the second derivative of n**4/6 + n + 29. Let b(l) = 2*l**2 + 5*l**2 + 37*l**2. What is b(h(w))? 176*w**4 Let w(l) = 1377*l + 4. Let r(z) = -4*z**2. What is w(r(k))? -5508*k**2 + 4 Let n(t) = 40*t. Let j(r) = -1029*r**2. Determine j(n(l)). -1646400*l**2 Let o(y) = y. Let s(d) = 8*d**3 + d + 20. Let r(w) = -33*w**3 - 4*w - 79. Let j(z) = -6*r(z) - 26*s(z). Let f(t) be the first derivative of j(t). Give f(o(n)). -30*n**2 - 2 Let y(m) = 1392345*m**2. Let c(n) = 2*n. What is y(c(i))? 5569380*i**2 Let b(y) = 858922*y. Let v(c) = 8*c**2. Determine v(b(i)). 5901976016672*i**2 Let z(o) = -7*o + 422. Let y(h) = 8*h**2. Calculate y(z(v)). 392*v**2 - 47264*v + 1424672 Let o(h) be the second derivative of h**3/6 + 3*h + 86. Let m(x) = -5*x - 146. Determine m(o(i)). -5*i - 146 Let a(m) = 2*m. Let j(n) = 3*n**2 + 7421*n. Determine j(a(r)). 12*r**2 + 14842*r Let v(l) = l**2 + 1. Let n(r) = 4*r**2 + 3. Let h(p) = -4*n(p) + 12*v(p). Let a be (5 + (0 - 4))*107. Let m(g) = a - 107 - 2*g. Determine m(h(z)). 8*z**2 Let a be 8/(3/6*-2). Let m = a - -10. Let t(r) = -m*r + 3*r - 4*r + 0*r. Let p(u) = 3*u. Give t(p(v)). -9*v Let r(p) be the first derivative of 0*p - 11 - 13/2*p**2. Let b(j) be the first derivative of 2*j**3/3 + 8. What is b(r(n))? 338*n**2 Let i(x) = -x**2 - 8*x - 7. Let o be i(-5). Let z(r) be the first derivative of o - r**2 - 2 - r**2 - 1. Let p(j) = -2*j. Determine p(z(f)). 8*f Let z(a) be the first derivative of -107*a**2/2 - 235. Let x(g) = -7*g. Give x(z(p)). 749*p Let z(x) = -x**2. Let i(q) = -q + 4. Let j(g) = 1. Let w = -3 + 5. Suppose 3 - 5 = w*r. Let y(k) = r*i(k) + 4*j(k). Calculate z(y(m)). -m**2 Let m(y) be the second derivative of -5*y**4/12 + y**3/3 - 36*y. Let a(f) = -10*f**2 + 5*f. Let d(b) = -2*a(b) + 5*m(b). Let u(s) = s**2. Determine u(d(x)). 25*x**4 Let l(d) be the first derivative of -d**2 + 1. Let i(v) = 5*v**2 + 3*v - 1. Let f(j) = 7*j**2 + 12*j - 4. Let k(x) = -f(x) + 4*i(x). Calculate k(l(m)). 52*m**2 Let k(l) = 3*l**2 - 48171. Let h(j) = 3*j**2. What is k(h(d))? 27*d**4 - 48171 Let v(y) = -8*y**2. Let s(m) = -9*m**2 - 5. Let f(i) = -8 + 29*i - 29*i - 14*i**2. Suppose t = 3 + 2. Let x(b) = t*f(b) - 8*s(b). Calculate v(x(l)). -32*l**4 Let i(n) = 270*n**2 + 3. Let p(c) = 37*c - 35*c + 0*c. Calculate p(i(h)). 540*h**2 + 6 Let a(s) = -5*s**2. Let p(y) = 1349 - 1349 + 49*y. Calculate a(p(q)). -12005*q**2 Let d(u) = 4*u. Let y = 15/196 - -1/147. Let k(f) be the third derivative of -f**2 + y*f**4 + 0 + 0*f + 0*f**3. What is d(k(j))? 8*j Let i(k) = -3*k**2. Let j be (16/(-10))/(44/(-110)). Let z(x) = x + 1. Let n be z(3). Let y(m) = -m**2 + n*m - j*m. Calculate i(y(a)). -3*a**4 Let d(y) be the third derivative of 0*y + 0*y**3 + 1/12*y**5 + 13*y**2 + 0 + 0*y**4. Let b(u) = 0*u - 5*u + 3*u. Give d(b(w)). 20*w**2 Let z(s) = -572*s**2. Let h(k) = 8*k**2 + 6*k. What is h(z(l))? 2617472*l**4 - 3432*l**2 Let r(m) be the third derivative of -m**5/60 + 7*m**3/3 + 13*m**2. Let d(h) be the first derivative of r(h). Let g(k) = k - 8*k**2 - k. Give d(g(i)). 16*i**2 Let x(k) = -3*k**2. Let m(c) be the third derivative of 0 + 1/12*c**4 + 0*c + 0*c**3 - 12*c**2. Determine m(x(v)). -6*v**2 Let z(b) = 15*b. Let u be (-898)/(-7) + (6 - 176/28). Let k(s) = -128 - 2*s**2 + u. Determine z(k(j)). -30*j**2 Let t(l) = -9*l. Let o(u) = 192*u + 2. Give o(t(v)). -1728*v + 2 Let h(c) = 595*c. Let y(n) = -3*n + 31. What is h(y(x))? -1785*x + 18445 Let g(o) = o**2 + 3. Let l(a) be the first derivative of 3*a**2 - 113. Calculate g(l(q)). 36*q**2 + 3 Let q(f) = 443*f - 207. Let p(m) = -18*m. Determine q(p(s)). -7974*s - 207 Let r(k) = 12*k. Let l(i) = -3*i - 2*i - 4*i - 8*i + 15*i. Give l(r(c)). -24*c Let f(j) = -2*j**2 - 337*j + 2. Let p(o) = -4*o. Calculate f(p(s)). -32*s**2 + 1348*s + 2 Let n(o) = 87*o. Let b(q) = 179286*q - 4*q**2 + 5*q**2 - 179286*q. Determine b(n(a)). 7569*a**2 Let c(u) = -59*u. Let p(w) = 34*w - 7. Let h(s) = -10*s + 2. Let j(l) = 7*h(l) + 2*p(l). Calculate c(j(n)). 118*n Let m(h) = 63*h. Let s be m(-1). Let a be 1/7 - 117/s. Let x(n) = 2*n**a + 0*n**2 + 5*n**2 + 3*n**2. Let w(z) = -2*z**2. What is w(x(l))? -200*l**4 Let s(d) = 587*d**2 + 12*d. Let a(i) = 4*i - 1. Calculate s(a(q)). 9392*q**2 - 4648*q + 575 Let z(f) = f**2. Let l(o) be the first derivative of -o**5/60 + o**4/12 + o**2/2 - 7*o - 27. Let m(q) be the second derivative of l(q). Calculate m(z(y)). -y**4 + 2*y**2 Let v(u) be the third derivative of -93*u**5/20 - 2*u**2 + 635*u. Let w(x) = 3*x**2. Give w(v(h)). 233523*h**4 Let a(c) = -36*c. Let q(o) = -11386*o. Determine q(a(j)). 409896*j Let k(t) = -129*t**2 + 16*t + 21. Let h(a) = 86*a**2 - 10*a - 13. Let g(q) = -8*h(q) - 5*k(q). Let w(f) = -f. Calculate g(w(o)). -43*o**2 - 1 Let z(u) = -27082*u. Let v(l) = 7*l. What is z(v(t))? -189574*t Let j(r) = 2*r. Let b(k) = -8*k - 3. Let x(l) = 30 + 7*l + 40 - 66. Let f(w) = -4*b(w) - 3*x(w). Give f(j(v)). 22*v Let m(c) = c**2 - 325. Let n(z) = -455*z**2. Give m(n(k)). 207025*k**4 - 325 Let s(j) = 7*j - 6. Let l(g) = -g + 1. Let b(f) = 6*l(f) + s(f). Let h(m) be the first derivative of -11*m**2 - 3. Calculate h(b(q)). -22*q Let q(k) = -1427*k. Let y(h) = 34*h. Determine y(q(u)). -48518*u Let k(s) be the first derivative of s**2/2 - 163. Let i(q) = -q + 77. Determine i(k(r)). -r + 77 Let h(a) be the first derivative of -a**2/2 - 349. Let w(k) = k - 163. What is w(h(b))? -b - 163 Let r(m) = 0*m + 0*m + m. Let a(u) = 2*u**2 + u + 1. Let g(p) = -30*p**2 - 14*p - 14. Let i(c) = -28*a(c) - 2*g(c). What is r(i(z))? 4*z**2 Let c(r) = -2*r**2 + 12*r. Let n(p) = p**2 - 5*p. Let t = 10 - 11. Let u = t + 13. Let s(x) = u*n(x) + 5*c(x). Let h(d) = 2*d. Calculate h(s(a)). 4*a**2 Let y(a) = 7*a. Let z(t) = -t - 2. Let i(x) be the first derivative of x - 13. Let g(f) = 6*i(f) + 3*z(f). What is g(y(w))? -21*w Let j(z) = 1463*z - 2923*z + z**2 + 1460*z. Let b(a) = -a**2 - 2. Determine b(j(q)). -q**4 - 2 Let l(h) = 10*h - 3. Let a(n) be the third derivative of -n**4/24 - n**3/6 + 17*n**2. Let v(b) = b**2 + 4*b + 4. Let j(k) = -4*a(k) - v(k). Calculate l(j(i)). -10*i**2 - 3 Let l(o) = -3*o**2. Let y(w) be the first derivative of 7*w**3 - 351. What is y(l(h))? 189*h**4 Let s(i) = -6*i**2 + 4*i. Let g(c) = -5*c**2 + 3*c. Let d(p) = 4*g(p) - 3*s(p). Let v be (-30)/(-12) - 1/(-2). Let k(q) = q - q + 0*q + v*q. Calculate d(k(y)). -18*y*
{ "pile_set_name": "DM Mathematics" }
r, 0 = 3*n - 5*r + 16. Suppose z = n*z + 3*y - 22, z + 15 = 5*y. What is the highest common divisor of 4 and z? 1 Let j(o) be the first derivative of o**3/3 - 5*o**2/2 - 32*o + 13. Let n be j(-4). Calculate the greatest common divisor of n and 30. 2 Let a(d) = -2*d - 38. Let k be a(-19). Suppose 8*c + c + 27 = k. Let s be (50/(-6)*c - 1) + 4. Calculate the greatest common factor of 4 and s. 4 Let q(c) = c**3 - 3*c**2 - c + 7. Let h be q(3). Suppose -h*w + 9*w = 0. Suppose w*z = 2*z - 48. What is the highest common factor of 16 and z? 8 Let x = 140 + -148. Let a be -5*x/20 + 288. What is the greatest common divisor of a and 29? 29 Suppose 4*d = -30*o + 26*o + 9120, 5*d = o - 2328. What is the highest common factor of 884 and o? 52 Let q(w) = w**3 + 10*w**2 + 7*w - 1. Let k(i) = -i**3 - 21*i**2 - 38*i - 9. Let r be k(-19). Let l be q(r). Calculate the highest common factor of 153 and l. 17 Suppose -406*b - 4*r = -404*b - 1472, -b + 5*r + 778 = 0. What is the greatest common divisor of b and 2805? 187 Suppose -5*k + 2*g = -2, k + g + 24 = 30. Suppose -4*n - 11 + 171 = -3*j, k*n + 3*j = 80. Calculate the greatest common divisor of n and 340. 20 Let u be 23 + ((-663)/156 - 2/(-8)). Suppose s = u*s - 234. What is the highest common factor of 832 and s? 13 Let m(t) = -18*t + 25*t - t**2 + 3*t**2 + 234 - 49*t. Let z be m(10). Let u = -33 - -47. What is the highest common factor of u and z? 14 Let a = -1103750 + 1103762. Let n be -1 - (2 - 1)*-89. Calculate the highest common divisor of n and a. 4 Let p be 2/9 - (-6)/(-27). Suppose 5*j + 5*t - 100 = p, -2*j + 26 = -3*t - 2*t. Let n = 223 + -178. Calculate the greatest common factor of j and n. 9 Let r be (-140)/14 + 186/3. Let o be (-4 + 2)*-2*2. Suppose -9*a = -o*a - 13. Calculate the greatest common factor of a and r. 13 Let h be 2 - 3/((-3)/355). Let z be (-530 + 529)*(-17)/(-7)*-7. Calculate the highest common divisor of h and z. 17 Let x(m) = m**2 - 55*m + 4361. Let i be x(0). Calculate the highest common divisor of i and 49. 49 Let o(d) = -11*d**2 - 92*d - 8. Let k be o(-8). Let h = -6 - -15. Calculate the highest common factor of k and h. 3 Suppose 34*k - 32021 = 110949. Calculate the highest common factor of 580 and k. 145 Suppose -95 = -2*y + 35. Suppose 170*v = 173*v - 5*r - 1340, 0 = 2*v + 5*r - 935. What is the highest common divisor of y and v? 65 Suppose a - 16 = -3*a. Let y be 0/(-3 + a - 4). Suppose -t + 5*l - 5 = -14, -3*l - 3 = y. What is the greatest common factor of t and 1? 1 Suppose -4*a + 10993 = -5*s, -2*s = -0*s + 2. Suppose 40*y = 2693 + a. Calculate the highest common factor of 8 and y. 8 Suppose -63*h + 29553 + 32047 = 14*h. Let w = 68 - 4. What is the highest common factor of h and w? 32 Let s be (108/3)/(-3 - -5). Suppose 15*i - s*i + 15 = 0. What is the highest common factor of i and 235? 5 Suppose 3*q - 4*l = 36, -7*q + 8*q - 4*l = 4. Suppose -q - 14 = -2*j + 5*o, -4*o + 75 = 5*j. Calculate the highest common divisor of 20 and j. 5 Let w(i) = 718*i - 476. Let q be w(2). What is the greatest common divisor of 1344 and q? 192 Let x = 1111 + -1076. What is the highest common factor of 6335 and x? 35 Let f be (5594/2 - -3)*190/76. What is the highest common divisor of 56 and f? 56 Suppose 2*n - 1 = 4*t + 3, 0 = 4*n - 4*t - 16. Let y = 331 + -319. What is the greatest common divisor of y and n? 6 Let n be 31/6*(318/(-530) + 126/10). What is the greatest common factor of n and 4123? 31 Suppose -6*q + 60 = 6*q. Suppose -2*n = -9*c + 10*c - 53, -2*n - q*c = -57. What is the highest common factor of 39 and n? 13 Let z be 10/(30/9) + 3*1. Suppose -5*o + z*o = -3*g - 119, 4 = g. Let x = o - -163. Calculate the greatest common factor of 2 and x. 2 Let g(b) = 12*b - 129. Let p be g(11). Suppose -p*s - 3*m + 57 = 0, 2*m = 5*s - 2*m - 122. Calculate the highest common factor of 143 and s. 11 Suppose -196*h + 145893 = -49712 + 50565. Calculate the greatest common factor of 2516 and h. 148 Let h(n) = 22*n - 505. Let g be h(64). What is the highest common factor of 21 and g? 21 Let l = -3882 - -5934. Calculate the highest common factor of l and 152. 76 Suppose -76*r = -64*r - 96. Suppose -r*b + 571 - 275 = 0. Let s be ((-2)/(-4))/(2/1628). What is the greatest common factor of s and b? 37 Let u(q) = q**3 - 7*q**2 + 6*q - 18. Let a be u(7). Let l be (-78)/a*(5 - 3 - 62). Calculate the highest common divisor of 13 and l. 13 Suppose 5*z - 3*z - 3246 = -s, -3*s + 4*z + 9708 = 0. Suppose 19*p - 37*p = -s. Calculate the greatest common divisor of 54 and p. 18 Suppose 5*k + 8 = k, 4*m + 5*k + 2 = 0. Suppose 21 = -4*c + 4*d + 289, -m*c = d - 149. Calculate the highest common factor of c and 168. 24 Let n = -677 - -690. Suppose 1051 + 3837 = n*l. What is the greatest common factor of 24 and l? 8 Suppose 5*x = 2*s + 6832, 237*x = 238*x + 4*s - 1384. Let f(g) = g**3 - 3*g**2 - 15*g + 6. Let o be f(6). What is the highest common divisor of x and o? 24 Let r be 150/5*-23 + (-1 - 4). Let a = 723 + r. What is the greatest common divisor of 56 and a? 28 Let v(t) = -59*t + 22. Let g be v(3). Let w = g - -185. Calculate the highest common divisor of w and 20. 10 Let q be (5 - 138/42)*(1 - -41). Suppose 160 = 21*a - 11*a. Suppose -5*k + 24 = -a. Calculate the highest common factor of k and q. 8 Suppose -3*p - 15 = 0, 10*p = d + 6*p - 57. What is the greatest common factor of d and 4? 1 Let y = 40857 + -37045. Calculate the highest common factor of 4 and y. 4 Suppose -2*s + 3*m - 184 = -0*s, 0 = 5*s - 4*m + 467. Let o = 103 + s. What is the highest common factor of 136 and o? 8 Suppose 0 = -191*j + 188*j + 30. Suppose -40 = -3*f + 2*o, -j = 2*f - 2*o - 36. Calculate the greatest common factor of f and 448. 14 Let z = -32 - -182. Let c be (-36)/(-15)*(z/4)/15. Calculate the greatest common factor of 81 and c. 3 Let b be 208/(-1352) + -2*(-123866)/26 - -6. What is the highest common factor of 14 and b? 14 Suppose -n + 104 = 5*c, 274*c - 272*c = -5*n + 543. Suppose 0 = x - 45 + 142. Let o = x + n. Calculate the highest common divisor of 16 and o. 4 Let i be -15*15*252/(-150). Calculate the highest common factor of i and 56. 14 Let i(p) = 1155*p + 2489. Let a be i(-2). Calculate the highest common divisor of 23449 and a. 179 Let u be 11/(-55) + (-5224)/(-20). What is the greatest common divisor of 493 and u? 29 Suppose 18 = 4*g - 30. Let h(k) = 8*k - g - 12*k - 10*k - k**2. Let m be h(-12). What is the highest common divisor of 8 and m? 4 Let g = 3435 + -3279. What is the highest common factor of 1196 and g? 52 Let z = 13 - -12. Let f = 6 + -3. Suppose 71 - 888 = -f*k + 2*n, -k - 5*n = -295. Calculate the highest common divisor of z and k. 25 Suppose 2*i = 7*a - 516, -14*a + 366 = -9*a - i. What is the greatest common factor of a and 5400? 72 Suppose -5*j + 2*s = -1114, 3*s = -6*j + 6*s + 1335. Let p = 37 - -33. What is the highest common divisor of p and j? 14 Let y = 4455 - 3729. Calculate the highest common divisor of 6 and y. 6 Let h = 4650 + -4603. What is the highest common divisor of h and 73? 1 Let y = -49 - -65. Suppose 0 = -3*r - r + y. Suppose -2 = 2*q, -r*h + 5*q - 6 = -51. Calculate the highest common divisor of 4 and h. 2 Suppose -37320 = -220*x - 402*x. Suppose -q = -36 + 12. What is the highest common divisor of x and q? 12 Suppose -2*l + 49 = d - 15, -2*l - 152 = -2*d. Suppose 8*m = 3*m + 4*v + 169, -5*v = 4*m - 168. Let h = 55 - m. What is the highest common factor of h and d? 18 Let h = -122 + 134. Suppose -238*p = -235*p - h. Suppose 4*i - 64 = -p. Calculate the highest common divisor of i and 195. 15 Suppose 2*q - 91 = 5*a, -4*q = 3*a + 30 - 277. Suppose -4*o + 5*p = -340 + 2, 4*o + 2*p - 352 = 0. What is the highest common factor of o and q? 29 Suppose 0 = -z + 35 - 14. Suppose 5034*f = 5029*f + 3*p + 1365, -p + 3003 = 11*f. What is the highest common divisor of z and f? 21 Let v(n) = n**2 + 4*n + 15. Let x be v(-6). Suppose -p + x = 18. Let k = -13 + 16. What is the highest common factor of k and p? 3 Let x be 1 - ((-92)/460 - (-248)/(-10)). What is the highest common factor of x and 494? 26 Let x(h) = -266*h**3 - 47*h**2 - 153*h + 8. Let j be x(-4). What is the greatest common factor of 103 and j? 103 Let i be 1*(17/((-1530)/(-72)) - 102/(-10)). Let p = -6 - -8. Suppose n = p*n - 1.
{ "pile_set_name": "DM Mathematics" }
- -6) + -5 - 2. -2 What is (-6 - -11 - 12) + 3 + 0? -4 Calculate (4 - 11 - -4) + -8. -11 What is the value of 1 + (-10 - 3) + 8 + 2? -2 Evaluate 6 + 1 + 218 + -226. -1 (8 - 12 - -10) + -2 4 Evaluate (-9 + 16 - 9) + 6. 4 1 - (1 + -5 + 4) 1 What is the value of 1 - -1 - (-4 + 6 + -3)? 3 What is -2 + -2 + 7 - 2? 1 What is -9 - (-10 - (-11 + 9))? -1 (-8 - -3) + (5 + -2 - 0) -2 What is the value of (9 + -5 - 5) + 1? 0 Calculate -1 + 3 - (-3 - (0 + -1)). 4 2 + (-4 - (0 + 4 - 8)) 2 What is 12 + -5 + -4 + -1 + -2? 0 (2 + -2 - (0 + -1)) + -6 -5 Evaluate 21 + (-4 - 3) - 6. 8 What is 6 - ((1 - 3) + -2 + 7)? 3 3 + -1 + (-21 - -16) - 3 -6 What is the value of -7 - (7 + -4 - 7)? -3 What is the value of -2 - (-2 - 0) - -5? 5 1 + 0 + -2 - 2 -3 What is 0 + 6 - (47 + -48) - 1? 6 What is 2 - ((0 - 3) + -1) - 3? 3 Calculate 4 + -1 + (18 - (8 + 11)). 2 What is the value of -9 - (-2 - (-11 - -14))? -4 What is -6 + 5 + (-3 - (-1 - 5))? 2 (-3 - (-2 + 0)) + 2 + -1 0 What is the value of 1 + -4 + 11 + -10 - -9? 7 What is the value of (1 + -1 - 7) + -58 + 68? 3 3 - (0 - -1) - 5 -3 Calculate 0 - 0 - (6 + (-8 - -5)). -3 -3 + 7 + 2 + -7 + 2 1 3 + -19 + (18 - 8) -6 Calculate 0 + -5 - -4 - (-2 - -1). 0 What is the value of -6 - -1 - (4 - (2 - -2))? -5 What is the value of -1 + (0 - (-7 + 3 - -2))? 1 What is the value of 8 + ((-6 - -3) + 3 - 5)? 3 Calculate (7 - (-1 - -6)) + 3. 5 Calculate 1 - (5 - 1 - -3). -6 Evaluate -5 - (3 - (19 - 3) - -3). 5 What is (-5 - -3 - 0) + 4? 2 What is the value of -3 - (6 - 3) - -5? -1 What is the value of -4 + (-3 - -2) + 4? -1 Evaluate (-4 + 9 - 0) + 4 + -3. 6 What is the value of -3 - (8 - (1 + 4)) - 2? -8 Evaluate (-3 - (-9 - (-2 - -3))) + -2. 5 Calculate 1 + -8 - (2 - 1). -8 Calculate (-6 - (-4 - 6)) + 1. 5 1 + 6 + (9 - 20) -4 Evaluate 8 + -5 - (1 + 1 - 4). 5 Calculate (3 - (0 + 3) - -1) + 2. 3 What is the value of -1 - 3 - -2 - 0? -2 Evaluate 4 + 1 + 5 + (22 - 21). 11 Calculate (-5 - 0) + 5 + 2 + -2. 0 What is the value of 0 + -6 - (-40 + 39)? -5 What is -2 - (1 - -1 - 9)? 5 (-2 + (4 - 2) - 1) + 6 5 What is -16 + (-1 - (-3 + -9))? -5 Evaluate (-4 - (-5 + 9)) + 3. -5 Evaluate 1 + (-5 - (0 - 4)) - 4. -4 What is the value of (-1 - -2) + (-86 - -91)? 6 What is the value of (0 - (3 - 3) - 0) + 1? 1 Evaluate (-23 - -19) + 1 - (4 - -1). -8 Calculate -5 - (11 - 4 - (0 + 13)). 1 What is 0 + 3 - (0 - -3)? 0 -1 + 1 + 3 + 8 + -6 5 Calculate (10 - 7) + 2 + -6. -1 Calculate 3 - (-1 + 2) - (-4 - -11). -5 What is (-4 - -2 - 2) + 6? 2 Evaluate 3 + 12 + -16 - (-1 + 3). -3 -4 + 5 + 2 + 2 + 0 5 103 + -99 + (0 + -1 - 9) -6 What is 0 + -1 + 6 + -2? 3 What is the value of (10 - 17 - -13) + (0 - 0)? 6 Evaluate 7 + -17 + -3 - (-4 - 1). -8 What is 10 + (-5 - (12 - 5))? -2 Calculate 4 + (8 - 18) + 10. 4 Evaluate (-6 - -5) + -3 + 2 + 2. 0 What is -8 + -6 + 7 - (-4 + -1)? -2 What is the value of 8 + (-3 + (-9 - -7) - -5)? 8 What is (5 - 1) + -5 + 5? 4 What is the value of 6 + (2 - 1) + -2 + -8? -3 Calculate 2 + 5 + -2 + -1 + 1. 5 What is the value of -8 - -4 - 5 - -15? 6 Calculate -3 + (0 - -7 - (0 + 5)). -1 Evaluate (0 - 2 - -10) + -1 + -6. 1 What is 0 + 1 + -3 + (-6 - -5)? -3 What is the value of (2 - 12) + (20 - 15)? -5 Calculate 7 + -6 + (-1 - (-3 - -6)). -3 What is 0 + (2 - 0) + -2? 0 Evaluate -1 - 1 - -2 - -2 - 3. -1 1 + 7 + -5 + 5 8 What is -5 - 0 - (-9 + (6 - -3))? -5 Evaluate (-1 - 3) + 0 + -1 + 0. -5 What is -16 + 13 - (0 + 1)? -4 -115 - -112 - (1 + -9) 5 What is the value of 7 + (-1 - 1) + 0 + 0? 5 What is -6 + 8 - (-10 - -4) - 5? 3 What is the value of 11 + -25 + -3 + 9? -8 -7 + 12 + -4 + -1 0 Evaluate 10 + -6 + -5 + 5. 4 Calculate 0 + 5 + 7 + (2 - 8). 6 -8 - -1 - (-2 + -10) 5 What is (2 - 5 - -2) + 1? 0 Calculate (-4 - -4) + (21 - 27). -6 Calculate (-4 - (-8 - -5)) + -3. -4 Evaluate -1 - (-2 + -1 + (4 - 3)). 1 What is the value of 0 + 0 + 13 + (13 - 20)? 6 What is the value of (-13 - (1 + -7)) + 13? 6 Evaluate (3 - 7 - -7) + -8. -5 -1 - (0 - 3 - -2) 0 What is 101 + -108 + -1 + 14? 6 -4 + 1 + (-14 - -19) 2 3 + (4 + -6 - (2 - 0)) -1 -4 + 5 + -3 + 2 0 What is the value of 4 - -2 - (2 + 1 + 6)? -3 Evaluate (-7 - (-7 - -4 - -1)) + -2. -7 What is -5 + (0 - (4 + -5 + -6))? 2 What is (-15 + 8 - (0 - 3)) + -1? -5 (6 - 13) + -2 + 1 + 3 -5 What is (-3 - 4 - -3) + 1? -3 Evaluate -9 + 7 + 1 + 2 + 0. 1 Evaluate -8 - (-14 - (-5 + -5)). -4 What is the value of 0 - (3 + (-2 - -4))? -5 5 + 1 - (-7 - -8) 5 Calculate (1 - 3) + (-4 - -1 - -9). 4 Calculate (2 - (0 - 3)) + -3 + -6. -4 Evaluate 1 - (0 + -3 - -2) - -3. 5 Calculate -7 - (-2 - (9 - (11 - 5))). -2 What is -2 - (2 + 4 + -10 + 5)? -3 Evaluate (-2 - 1) + 0 + -2. -5 (-1 - -3 - (-7 - -6)) + -3 0 What is the value of 0 + -3 + (0 - -7)? 4 Evaluate -6 - (-7 - 1) - 7. -5 What is -1 + -1 + 2 - (4 + 0)? -4 What is the value of (-7 - (-9 + -4) - -2) + -3? 5 What is 4 - ((7 - 7) + 1)? 3 What is the value of -3 - (-1 + 3 - (0 - -4))? -1 What is the value of (-2 - -2) + 2 + 19 + -23? -2 -2 - 1 - (3 + -1 + -9) 4 What is 35 + -20 + (1 - 9)? 7 What is 1 + -5 - 6 - (-2 + -4)? -4 What is the value of (2 - 16 - -6) + 2? -6 What is the value of -2 + -1 - (5 - -3 - 3)? -8 17 - (0 + -4 + 14) 7 What is the value of -3 - 1 - -4 - 3? -3 Evaluate -7 + 0 + -7 + 23. 9 Evaluate 1 + (4 - 7) + 1. -1 What is the value of 0 - (-2 - (3 - (6 + -4)))? 3 What is 9 - (8 - (-1 - -4))? 4 What is the value of 3 + (-20 - -6) + 5? -6 What is the value of -5 - 2 - 2 - -13? 4 Calculate 4 + (-6 - (7 + -3)). -6 -2 + 6 + -2 + (28 - 20) 10 Calculate 1 + -8 + (4 + 6 - 7). -4 What is the value of (-42 - -49) + (-6 - 1) - -3? 3 What is -10 + 9 - 2 - (-5 + 1)? 1 What is 16 + -12 + (-1 - -3 - 4)? 2 Evaluate 9 - (0 - (-5 - 1)). 3 What is 0 + -1 + -17 + 13 + 3? -2 Calculate 1 + (6 - 1) - (-24 - -25). 5 Calculate -5 - (6 - 7 - 1). -3 What is (-8 - -1) + (12 - 6)? -1 What is 14 + -1 + -61 + 54? 6 Evaluate (9 - ((3 - 0) + 1)) + -2. 3 What is 0 - (-1 - -2) - (-7 - -3)? 3 -1 - (-6 + 1 + (6 - 5)) 3 What is (1 - 0 - (-2 - 1)) + 0? 4 9 - (-5 + 5 + 7 + -3) 5 Calculate -9 - -7 - (1 - 3). 0 What is the value of (4 - 5) + (7 - 3)? 3 -23 + 8 - (-5 - 5) -5 What is the value of -5 - (0 + 3 + -6)? -2 Calculate (1 - (0 - -4)) + 0 - -3. 0 Calculate -1 - -3 - (1 - 2). 3 What is 7 + -4 + -1 - 5 - -10? 7 Calculate (-7 - -2) + (-22 - -33). 6 Evaluate (9 + -3 - 2) + 0. 4 1 + 2 + -1 + (23 - 24) 1 Evaluate -6 - (-11 + -9 + 5). 9 -15 + 18 + (1 - 4) 0 Calculate 4 + -1 + 2 + (-7 - -5). 3 What is the value of 6 - ((-2 - 6) + 18)? -4 What is the value of 0 - (7 - (10 - 2))? 1 What is the value of -10 - (10 + -1 + -16)? -3 Calculate (3 - 2) + 3 + (4 - 4). 4 What is -7 + (6 - (7 + -2))? -6 What is the value of (-2 - (-1 + -3)) + -1 + -1? 0 Calculate 6 - (9 + 6 + (-5 - -2)). -6 What is the value of (-8 + 4 - -9) + (-5 - 5)? -5 What is the value of (-24 - -25 - (-1 - 1)) + -1? 2 Calculate (3 - 0) + (75 - 73) + -7. -2 What is 4 - (11 - (4 - 1))? -4 -4 - (-9 - 3 - -3) 5 Evaluate (-5 - -1) + (1 + -2 - -3). -2 Calculate 1 + -9 - -11 - (-1 - 1). 5 Evaluate 7 + -2 + 2 + -2 - 0. 5 Calculate 12 + (8 - 5 - 10). 5 What is -11 + 9 + 4 + -7 + -1? -6 What is (6 - 7) + -6 + (1 - -2)? -4 5 - -2 - 2 - 2 3 Calculate (-1 - -2) + (-20 - -15) + 5. 1 What is the value of 3 + -8 - (-3 - (-7 - -1))? -8 -1 + 1 - (-2 - (0 + 1)) 3 What is the value of -8 + 1 + (6 - (8 + -1))? -8 Calculate -2 - 0 - (-33 - -25). 6 What is the value of (-6 - -4) + (1 - 1) + 5? 3 What is the value of (4 - 2 - 1) + 4 - -5? 10 Evaluate (-2 - (-5 - -8)) + 4 + -2. -3 Evaluate (18 + -17 - (1 - 4)) + -6. -2 Evaluate 39 + -47 - (-4 + 0). -4 What is the value of -2 + -8 + (6 - 2)? -6 Calculate 0 + 2 + -10 - -1. -7 What is the value of (-12 + (4 - -2) - -8) + 0? 2 Evaluate -3 - ((-6 - -3) + 4 - 7). 3 What is -3 + 0 + 0 + -1? -4 Calculate (-3 - 1) + 3 + 0 + 7. 6 What is -2 + -1 + (-17 - -14)? -6 Evaluate -12 + (2 - -5) + (1 - 0). -4 Evaluate -2 - (44 - 40 - (2 - -1)). -3 Evaluate -3 + -4 + 7 + 1. 1 What is -32 + 36 + 0 + 4 + -6? 2 -2 - (-1 + -2 + -2) 3 What is -2 - (5 + (1 - 8 - -4))? -4 -2 - -2 - (-8 + 3) 5 What is 2 + -8 + 7 + (-1 - -1)? 1 -3 + 1 - (-16 + 18) -4 What is the value of 78 + -73 - (0 - 1)? 6 What is (-6 + 5 - -3) + 1? 3 Calculate -68 + 67 + -4 + 0. -5 Evaluate 7 + -4 - 9 - -11. 5 Calculate -4 + (-1 + 2 - 0). -3 What is the value of -2 + -9 +
{ "pile_set_name": "DM Mathematics" }
85/(-918)). Calculate the greatest common factor of x and 10. 2 Let v be (-8)/(-52) - (-17448)/156. What is the highest common divisor of v and 14? 14 Suppose 3*a - 3*y - 840 - 126 = 0, 0 = 4*a - 3*y - 1286. What is the greatest common divisor of a and 10? 10 Let d = 17 - 15. Suppose -r - u - d = 2*u, 3*r = -3*u + 12. Suppose 0 = -3*k + k + 98. What is the highest common divisor of r and k? 7 Let s(v) = 8*v**3 - 2*v + 1. Let u be -1 + -2 + 1 + 3. Let n be s(u). Let k be (-6 + -8)*((-1)/(-2))/(-1). Calculate the greatest common divisor of n and k. 7 Let b = -68 - -122. Suppose -t + 4 + 2 = 0. Suppose -2*f - 3*z = -t, 0 = f - 0*z - 5*z - 16. What is the highest common factor of f and b? 6 Let s be (-528)/(-136) + (-2)/(-17). Suppose -y - u + 10 = 3*u, 0 = -s*y + 5*u + 145. Let p = 7 + 3. What is the highest common factor of y and p? 10 Let s be 4 - ((0 - 2) + -27 + 22). Calculate the highest common divisor of 176 and s. 11 Let s be (23 - -5)*(-3 - -8). Let a be (-85 + 1)/((-6)/4). What is the highest common factor of a and s? 28 Let l be 14/(9/(-3) + (-283)/(-94)). Suppose -386 = 3*x - l. Calculate the greatest common divisor of x and 31. 31 Let d(u) = -10*u + 252. Let w be d(25). Calculate the greatest common factor of w and 294. 2 Suppose 19*q - 9096 = 917. What is the greatest common factor of q and 51? 17 Let k = -4 + 9. Let f = k - 0. Let y(h) = -3*h + 20. Let z be y(0). Calculate the highest common divisor of f and z. 5 Let m(l) = l**3 + 17*l**2 + 11*l - 62. Let f be m(-16). Let u be (f/4)/((-4)/(-8)). What is the highest common factor of u and 153? 9 Let z be 22 - ((-8)/12 + 21/(-9)). What is the greatest common factor of 675 and z? 25 Suppose -4*x + 0 = -152. Let u be (-48)/(4 + x/(-8)). Calculate the greatest common factor of u and 8. 8 Let u = -2 + 9. Let d = 31 - u. What is the greatest common factor of d and 12? 12 Let b = 391 - 363. Calculate the highest common factor of b and 644. 28 Suppose 4*o + 2*m = 6, -m - 1 = -2*o + 4. Let z be (o/(-5))/((-3)/60). What is the highest common divisor of z and 4? 4 Let a be 3 - (1 + 1 + -1). Suppose 0 = -7*j + a*j + 25, 0 = -3*h - 5*j + 130. Let l be -2*((-52)/8 + 4). Calculate the greatest common divisor of h and l. 5 Let a(d) = -109*d + 6. Let g be a(-3). Suppose g = 5*w - 87. Calculate the greatest common factor of w and 24. 12 Let z be (0 - 0)/(0 + 1). Suppose 4*t + 0*g - 4*g - 8 = 0, 2*g - 4 = z. Suppose t*x + 161 - 889 = 0. What is the greatest common divisor of x and 26? 26 Let j(m) = 9*m - 7. Suppose -3*y + 5*y - 5 = -3*g, 19 = 4*y + 3*g. Let f be j(y). Suppose 3*x + x = f. Calculate the highest common factor of 2 and x. 2 Suppose 3*g = 7 - 1. Let v be ((-39)/(-9))/(g/18). Let z = -471 + 497. What is the highest common divisor of v and z? 13 Let k(q) = -481*q + 94. Let n be k(-1). Calculate the greatest common divisor of n and 175. 25 Suppose -930 = -86*g + 76*g. Calculate the highest common divisor of g and 806. 31 Suppose -3*f + 205 = 4*j, 4*j - 215 = -3*f + 5*j. Calculate the greatest common divisor of f and 2059. 71 Let s = 421 - 407. Let f = 5 + -2. Suppose 2*h - 450 = -2*i - 2*i, 4*i + f*h = 451. Calculate the highest common divisor of i and s. 14 Suppose 2*i + 44 + 44 = 0. Let d be (-2 + 0)/(1/i). Calculate the highest common factor of d and 22. 22 Let z = -9 + 16. Suppose d + 39 = 3*w - z, w - 6 = -2*d. Let m be 7/w + (-34)/(-4). Calculate the greatest common divisor of 3 and m. 3 Let j(a) = -a**2 + 9*a + 3. Let o be j(7). Calculate the greatest common factor of 578 and o. 17 Suppose 3*x - 27 = -2*y - 2*x, 5*y - 2*x + 5 = 0. What is the greatest common factor of 2 and y? 1 Let r = -24 - -54. Let y = -89 + 149. Calculate the greatest common divisor of y and r. 30 Let g(h) = 4*h + 8. Let k be g(-3). Let v be (2 - (-74)/k)/(7/(-14)). What is the highest common divisor of 297 and v? 33 Let u(i) = 87*i**2 + 1. Let k be u(-1). Let v = -61 + k. Calculate the highest common factor of 81 and v. 27 Let p(h) be the second derivative of -5*h + 0*h**2 + 1/3*h**3 + 0. Let x be p(5). What is the highest common factor of 10 and x? 10 Let t = 7 + 9. Suppose 26 = -3*i + 32. Calculate the greatest common factor of t and i. 2 Let f = 28 + 104. Suppose 728 - 188 = 2*h. Let r be h/24 - 3/(-4). What is the highest common divisor of f and r? 12 Let i be 1*3 - (-19 + 15/(-3)). Suppose -4*y - i = -13*y. Calculate the highest common divisor of y and 2. 1 Let y be (-138)/(-3) + (-2 - (-1 - -1)). What is the greatest common divisor of y and 55? 11 Let j be (98/2 - 1) + 2. Suppose 0 = -4*t + j + 38. Let d = t + -13. What is the highest common divisor of 36 and d? 9 Let v(y) = 4*y**2 + 45*y - 3. Let f be v(-13). Calculate the greatest common factor of f and 66. 22 Let p(r) = -9*r - 11. Let d(v) = 13*v + 17. Let l(z) = 5*d(z) + 7*p(z). Let n be l(6). Calculate the highest common factor of 80 and n. 20 Let u(f) = -f - 8. Let x be u(-7). Let r be (-2 - x)/((-1)/17). Suppose -5*s + 57 = r. What is the greatest common divisor of 20 and s? 4 Suppose 10 = u - 15. Let m = 61 - u. Suppose 4*k - 2*r - 356 = 0, 5*k - 359 = -3*r + 97. Calculate the greatest common factor of m and k. 18 Let h be (-11040)/(-575)*20/3. What is the highest common divisor of 1 and h? 1 Let a be (-3)/(-9) - (6 - 32018/21). Calculate the greatest common divisor of 62 and a. 31 Let d be 3*32/12*1. Suppose r - 8 = x, -r + 22 - d = 2*x. What is the greatest common divisor of 80 and r? 10 Let i = -5 - -8. Suppose 12 = -i*m - 0*m. Let x be -16*m/(-16)*-6. Calculate the greatest common divisor of 3 and x. 3 Let y(g) = 3*g - 4*g + 9 - 2. Let q be y(9). Let j be ((-18)/3*2)/q. Calculate the greatest common divisor of j and 18. 6 Let y be (-45)/(-12)*(-4)/(-3). Suppose 14 = -y*d + 44. Calculate the greatest common divisor of 24 and d. 6 Suppose 4*f - 87 = f. Let n = f + 27. Suppose 5*v + 0 = 40. Calculate the highest common divisor of n and v. 8 Let f = -30 + 43. Calculate the greatest common divisor of f and 169. 13 Let s = 120 - 211. Let j = s - -103. What is the greatest common factor of 12 and j? 12 Let k(u) = u**3 - 35*u**2 + 98*u - 12. Let a be k(32). Calculate the greatest common divisor of a and 39. 13 Suppose -3*s - 16 = -f, 2 = 2*s - 4*s. Let u be 0 + -1 - 0/f. Let o be u/((-201)/99 + 2). What is the highest common factor of 22 and o? 11 Let q(c) = 2*c + 34. Let r be q(-16). Suppose 0*v - 8 = -r*v, 0 = -2*k - 4*v + 34. Let y be 4/((-33)/k - -4). Calculate the highest common factor of y and 60. 12 Let u = 50 + -50. Let k(o) = o**2 - 3*o + 182. Let n be k(u). What is the highest common divisor of n and 26? 26 Let w(r) = r**3 - 21*r**2 - 20*r - 11. Let y be w(22). What is the highest common factor of 3 and y? 3 Suppose -p + 0*s + 1244 = -2*s, 3*s = 6. What is the highest common factor of 39 and p? 39 Suppose y - q = 16, -15*y + 40 = -11*y + 2*q. Calculate the highest common factor of y and 12. 12 Let t = 18 + -12. Suppose 2*m - 3*k - 138 = 0, -5*k - 37 = -m + 39. What is the greatest common factor of t and m? 6 Let t be (-2391)/(-15) - 4/10. Let q = t + -131. Let a(y) = -47*y - 1. Let i be a(-3). Calculate the highest common factor of i and q. 28 Suppose 196*a = 182*a + 21280. Calculate the greatest common divisor of a and 285. 95 Suppose -18 = -6*r - 3*r. Let o = 36 - r. What is the highest common factor of 51 and o? 17 Let z(h) be the third derivative of h**4/12 + 5*h**3/3 + 4*h**2. Let g be z(4). What is the greatest common divisor of g and 18? 18 Suppose 0 = -4*t - 16, 5*t + 238 + 202 = 5*g. What is the greatest common divisor of g and 56? 28 Suppose 492 = 7*t - 3*t. What is the highest common divisor of 12 and t? 3 Suppose 3*i + 3*a = 417, -40 = -i + 5*a + 81. Calculate the greatest common factor of i and 56. 8 Suppose 5*c - 5*d - 120 = 0, -3*d = -0*d - 15. Suppose 3*u = -3*t + 63, 0 = -u - 2*t - 3*t + c. Calculate the highest common divisor of 76 and u. 19 Let j = 5 + 3. Suppose -2 = 3*w - j. Suppose -2*q + 3 = -3, h - w*q = 24. What is the highest common divisor of 15 and h? 15 Let i(y) = 4*y**2 + 4*y + 5. Suppose 26*j - 6 = 29*j. Let k be i(j). What is the highest common factor of 65 and k? 13 Let t = -164 - -436. What is the greatest common factor of t and 17? 17 Suppose 2*m = m + 68. Let d(t) = -2*t - 25. Let j be d(-14). Let l be 4
{ "pile_set_name": "DM Mathematics" }
*r - 0, 0 = -3*r + 2*m - 5 for r. -3 Let u(a) = 4*a**2 - 42*a + 123. Let o be u(3). Suppose 13*z + o = j + 8*z, 5*j - 3*z - 143 = 0. Solve x = -d - 8, d - x = -6*x - j for d. -3 Let u = -4665 - -4692. Solve 2*v + 5*t + 5 = 0, -u*v + 24*v = -3*t + 18 for v. -5 Let f be (-6 + 2)/(-8)*-5*2. Let u be (-6)/27 - ((-1460)/(-18))/f. Let o be -4 + 68/u - 94/(-8). Solve 5*n - o = -l + 12, -l = -5*n + 26 for l. -1 Suppose -7*a - 7 = 5*u - 4*a, -5*a - 1 = 3*u. Let p be (u - -1) + 0 - (-32 - -28). Solve 5*q = 4*q - h + 1, -h = -p*q - 9 for q. -2 Let c = -20 - -143. Let k = c - 118. Solve 0 = 3*x + 2*l + 7, -5*x = 5*l + 20 - k for x. -1 Let t be (63/12)/(294/(-56) + 6). Solve 0 = -6*f + t*f + v, 0 = -4*f - 3*v - 5 for f. -5 Suppose -739*p + 735*p + 9 = -v, -3*v = -5*p + 13. Solve 3*a + 0 = -3, p*r = 4*a + 12 for r. 4 Suppose -3*q + 2*m = -8, -38*m + 43*m + 13 = 4*q. Solve 3*a + 5 - 16 = u, q*u - 5 = -3*a for u. -2 Let o = -17884 - -17888. Solve -o*d = 3*v - 6*d + 2, -5*v + 5*d - 5 = 0 for v. 0 Suppose 2*g - 4*g + 22 = 0. Let w = 1 + g. Suppose -x - 2*x + 4*c + 22 = 0, -w = 2*x + 4*c. Solve s = -0*s + 5*j + 21, 2 = x*s - 2*j for s. -4 Let u = 604 - 585. Suppose 2*v = -5*s + 26, 5*v - u = 4*s - 20. Solve 3*h + 21 = v*x, 3*h = 5*x - 21 - 6 for x. 3 Suppose 217*n = 223*n - 72. Solve -2*u - 4*s + 4 - 10 = 0, -2*s + n = -2*u for u. -5 Suppose -11 = -9*d + 7. Suppose -39*w + d = -40*w. Let s be (-273)/(-14) - (-1)/w. Solve 4*i = -5*r - 0*i + 2, s = -5*r + 3*i for r. -2 Suppose -9*z - 264 = -20*z. Suppose -z*q - 3*q = -459. Solve 3*b + 4*i + q = 2*b, -4*b + 2 = 2*i for b. 3 Let p(b) = b + 3*b - 45 - 11 - 20. Let y be p(19). Suppose z + d + 3 = -0*z, y = z + 3*d + 13. Solve 2*f + z*f + 3*j = -8, -3*f - 2*j = 5 for f. 1 Suppose 12*v = 9 + 15. Suppose -4*y = -v - 22. Solve -12 = -5*s + 4*u + y, -u + 2 = 2*s for s. 2 Suppose 293*f = 284*f + 9198. Suppose 1054 = 4*x + f. Solve 0*r - x = -2*r, y - 24 = -5*r for y. 4 Let d(f) = -f. Let i be d(-2). Suppose -4*l + 992 = -3*m + 1002, 5*m - 22 = 4*l. Solve -p - m - 14 = -5*n, -2*p = -i*n for p. 5 Let b be 4*36 + (-4 - (-8 - 0)). Let m = b - 144. Solve -q + 3*c + m = 0, 2*c = -q + 3*c for q. -2 Let d(o) = -43*o - 645. Let j be d(-15). Solve 3*g + 9 = -4*r, -4*g + j*g + r + 7 = 0 for g. 1 Let c be (-30786)/(-294) - (-4)/14. Let k = c + -102. Solve 8 = -3*z + 3*f + 2*f, 5*z + k = -2*f for z. -1 Let i be (180/210 - 12/14)*-1. Solve 3*t = i, 3*t + 4 - 7 = -q for q. 3 Suppose l + 2*s + 3 - 29 = 0, -4*s + 142 = 5*l. Let b be 832/56 + -15 + l/14. Solve 10 = -b*m - 2*z, 4*m - z = 2*m + 5 for m. 0 Suppose -21*l - 16 = -58. Solve 5 = l*z - w, -5*z - 9*w + 17 = -7*w for z. 3 Let j(h) = 4*h + 30. Suppose 5*z - n + 115 = 0, n - 35 = 3*z + 34. Let b be j(z). Let r = 64 + b. Solve -r*y + l = -3, y - l + 4 = -6*l for y. 1 Let r(s) = 2*s**2 + 60*s + 116. Let c be r(-2). Solve 0 = -5*x - 2*q, -27 = 3*x - 5*q + c for x. -2 Let w = 1150 + -1146. Let k = -14 - -12. Let i(l) = 3*l**2 + 3*l + 1. Let n be i(k). Solve -w*m = -o - 3, 2*m - 2 = 3*o + n for o. -3 Suppose -3*h - 64 + 33 = -4*u, -u = 2*h - 5. Solve 0 = -5*k - 4*b, -2*k - 9*b = -6*b + u for k. 4 Suppose 0*t - 4*a = -4*t - 8, 24 = 4*t + 4*a. Suppose -t*w = -14*w. Solve 0 = -5*j - 4*y + 7, w*j + 3*y - 10 = j for j. -1 Let a = 2511 + -2482. Solve 2*r = z - 3*z - 8, 4*z = 5*r + a for z. 1 Suppose 7*y = 12*y. Suppose p = -4*h + 19, y = -p + 2*p - 3. Solve z + 2*u = -9, -h*z + 17 = -5*u - 12 for z. 1 Let p(z) = -z**3 + 46*z**2 + 118*z - 1053. Let f be p(48). Solve x = -3*i + 8, f*i - 3 + 1 = 2*x for x. 2 Suppose 2*g - 54 = -4*t, 2*t + 6*g + g = 33. Solve w + t = -4*z, -8*z - 4*w = -5*z for z. -4 Let j(s) = 8*s**2 - 52*s - 24. Let l be j(7). Solve -u = 4*y + 16, -12 = -2*u + l*y - 8 for u. -4 Let a be 0*(1441/132 - 11). Solve -4*h - 4 = -a*h, -2*h = 3*c - 10 for c. 4 Let w be ((-10)/(-7))/(7/(-49)). Let r(x) = x**3 + 11*x**2 + 9*x - 6. Let f be r(w). Solve 7 = -2*d - 4*j + 23, -f*d = -4*j - 8 for d. 4 Let s = 286 + -282. Suppose -5*q + 10 = 0, -3*u + 5*q = -s*u + 18. Solve 2*i - u = -3*w, 3*i + 2 = -4*w + 14 for w. 0 Let i(p) = 2*p**2. Let q be -1 + (-2)/((-4)/6). Let j be i(q). Suppose -6*h + 2*h = o - 10, -o = 3*h - j. Solve -o*k + 4*y = 3*k - 21, 0 = y - 1 for k. 5 Let s = -13220 + 13223. Solve 2*y = -5*c - 17 - 3, 0 = -4*y - s*c - 26 for y. -5 Let d(s) = 2*s**2 + s - 3. Let j be d(-2). Suppose -5*y + 25 = j*g - 89, 111 = 5*y + 2*g. Solve -5*k + y = 5*i - 14, -i = -5 for k. 2 Suppose -u - 7*n + 56 = -2*n, -3*u = -5*n - 128. Let x = 16 - u. Let w be (x/(-20))/(1/2). Solve -i + 2*m - 1 = 0, -3*i - w*m + 2 = -5*i for i. -1 Let g be (-6)/27 - (63 - 59 - 130/18). Solve -2*u = -j + 12, -16 = g*u + 5*j - 11 for u. -5 Let u = -5 - -8. Let w be (-8)/10 + -2*2261/(-190). Solve -6 = -u*n, 5*m - n = 3*n - w for m. -3 Let r be 6/(0 - (-6)/(-4)). Let m(h) = -h**3 - 3*h**2 + 4*h. Let t be m(r). Suppose k - 2*k + 6 = t. Solve -k = 3*c, 2*n - 4*c - 8 = -2*n for n. 0 Suppose -292*q + 52 = -279*q. Let i = -22 + 24. Solve -2*k - q*o = 6, 4*k + 3*o - 16 = i*o for k. 5 Suppose -117*n - 77*n + 970 = 0. Suppose 0 = g - 3*g. Solve -3*p = -0*w + 3*w + 30, g = -n*w - 25 for p. -5 Suppose -36*k + 469 - 217 = 0. Solve -2*n = w + 4, -2*w + 4*n = -k*w - 8 for w. 0 Let k be 12 - (2/3 + 24/(-36)). Suppose 0 = 18*j + k - 48. Solve -3*o - 15 = 0, -j*o + 6 = -5*m + 1 for m. -3 Let m be -7 - (6/6 - -4). Let g be (-94)/(-6) + m/18. Solve 5*z + 5*t = 20, t - 4*t = -g for z. -1 Suppose 18*o + 50 - 266 = 0. Solve -4*d + o = -5*v, -d - 9 = -4*d + 4*v for d. 3 Suppose -99 + 89 = -2*x + 3*h, 5*x - 2*h - 14 = 0. Solve 8 = -25*i + 27*i, x*p + 26 = 4*i for p. -5 Suppose d + 2*b = -2*d + 44, -53 = -4*d + 3*b. Suppose -13*k = -d*k + 5. Solve 4*u + 20 = 3*a, -4*u - k*a = -7*u - 26 for u. -2 Suppose -552 = 5*x - 4*w, 22 = 2*w + 16. Let o = x + 113. Solve -2*a + o*h - 10 = 0, h = -2*a + 3*h - 10 for a. -5 Suppose 9*t - 765 = -131*t - 13*t. Solve 0 = 3*v - 4*m - 2, -25*v = -28*v - t*m + 11 for v. 2 Let w = 88 - 88. Let l be (-110 - -107) + (8 + w - 2). Solve -l*x - 15 = -3, 4*x = 2*o - 20 for o. 2 Suppose -3*n + 90 = 2*o, o - 12 - 131 = -5*n. Suppose -g + 3 = 2*p, 0 = -4*p + g + n - 7. Solve p*a - 17 = 5*a - 3*m, 20 = 4*m for a. -2 Let d be (-93)/(-3)*(2 + 3 + -6). Let j = -34 - d. Let z be j/(-9) - (-5)/3. Solve 0 = z*h - 2*a - 6 + 2, -5*h + 8 = -4*a for h. 0 Let i = 27 + -25. Let p be (89 + -159)*(-2)/7. Solve -i*o + 6 = 0, -4*a - 3 = -o + p for a. -5 Let d = -24235 - -24239. Solve 2*t + f - 10 = -d*t, 5*f = 20 for t. 1 Let j(w) = -w**3 + 11*w**2 + 82*w - 898. Let u be j(11). Solve 5 = 5*h, -6 = u*o - 5*h - 5 for o. 1 Let l = -288 + 293. Let j(r) = -8*r + 42. Let q be j(l). Solve -q*y + 4*g + 12 = -6*y, 4*y = -2*g - 4 for y. 1 Let y = -306 + 243. Let n = y + 66. Let c(o) = 3*o + 2. Let v be c(1). Solve 15 = n*a + v*u, 3*u - 9 = -2*a + 4*a for a. 0 Let g = -138 + 190. Let j = g - 50. Solve 11 = j*n + 3*f + 3, 0 = -n - 5*f + 11 for n. 1 Suppose 3*u + 27 - 6 = 0. Let x be (u + 5)*2/2. Let v be (2 + x + 1)/1. Solve 2*j + v = m + 4, -5 = 5*j - 5*m for j. 4 Suppose -95*s + 81 = -394. Solve -17 = -v + 4*v + 5*t, 0 = -v - s*t - 19 for v. 1 Suppose s - 1 - 23 = 0. Suppose -7*y + s = -4*y. Suppose -5*f + 6 = -y*n + 5*n, 4*f - 6 = 3*n. Solve -2*r + 7*r + 4*d + 10 = f, 2*d = -5*r for r. 2 Suppose -47 = -3*r - 44, 2*i + r - 11 = 0. Solve i*m = 5*c + 20, m - 4*m + 5*c = -22 for m. -1 Let o(b) = -11*b - 107. Let f be o(-10). Suppose 2*c + 12 = -5*z + z, f*c = -5*z - 13. Solve -3*p = 4*w + 8, -c*p - 2*w = p - 10 for p. 4 Let k = 761 + -759. Solve m = -3*b + 4 - 3, -2*m - 6 = -k*b for m. -2 Suppose l = 2*z - 3, -4*z + 0 = -5*l + 3. Solve -3 = -3*w - z*y, 18*y - 13*y + 5 = 0 for w. 2 Let c = -39 + 38. Let b be 2*(-1)/2*3. Let v be c/(5 + -4)*b. Solve g - 2 = -3*l + 13, v*g = 5*l - 25 for g. 0 Let w = 21 - 13. Let n be 5 - 1*(0 - -3). Suppose -4*j = -2*m - w, j = -m + n*j. Solve -3*d + 2 = -4*g - 14, -d = g + m for d. 0 Let m = -30 + 53. Suppose -f - 3*a + m = 3*f, a - 7 = -f. Let u be (-2)/(-5) - (-1221)/185. Solve -5*v + 5 = 5*h, f*v - 45 = u*v - 5*h for v. -4 Let v(x) = 4*x**2 + 191*x - 44. Let s be v(-48). Solve s*f + 12 = -3*k, -2 = k + 2 for f. 0 Let x(s) = 2*s**2 - 11*s - 14. Let r(b) = -b**2 + 6*b + 7. Let m(d) = -11*r(d) - 6*x(d). Let c be m(-2). So
{ "pile_set_name": "DM Mathematics" }
biggest value in -2.004, -3, 0.0411? -2.004 Which is the third biggest value? (a) -88 (b) -3 (c) 830 (d) 2 (e) 0 e What is the sixth smallest value in 1/3, -13, -3, 0, -0.1, 15586, 0.2? 1/3 What is the second smallest value in 155199, 4/37, 4? 4 Which is the smallest value? (a) 1395 (b) 2 (c) -785 c Which is the third biggest value? (a) -0.05 (b) -3 (c) -5074865 c Which is the second smallest value? (a) -5 (b) -8 (c) -13 (d) -151/6 (e) -1 (f) -15 f Which is the second biggest value? (a) -3/28 (b) 1194 (c) -178 (d) 3 d What is the sixth biggest value in 17, -1, 174, -4/3, 3, -3/5, 5? -1 Which is the second smallest value? (a) -2.8 (b) 1/5 (c) -0.3 (d) -2/11 (e) 57/41 (f) -5/2 f What is the fifth biggest value in 2/5, -2.83, -0.5, 8/5, -4? -4 Which is the second biggest value? (a) -5 (b) 3 (c) -3 (d) -0.14 (e) -2/1251 (f) -1/2 (g) 16 b What is the biggest value in 8/3, -0.6, 0.4, -2/7, 6.6, 1/3? 6.6 What is the fourth biggest value in 1/301, -225, -0.3, 5? -225 Which is the smallest value? (a) -14.48 (b) -2/1591 (c) -0.4 (d) 2/23 a Which is the fourth smallest value? (a) -5 (b) -8 (c) -38 (d) -0.02 (e) -2 (f) 0 (g) -0.3 e What is the fifth smallest value in 0, -4/7, 1/5, 2/9, 8, 4.2, 4/5? 4/5 What is the fourth biggest value in -0.1, 0.1, -3/8, 0.05, -83, 0, 0.02? 0 Which is the fifth biggest value? (a) -1 (b) 131/3 (c) 0.2 (d) 4 (e) 2/25 a Which is the third smallest value? (a) 4 (b) 2/5 (c) -20174 (d) -2/13 (e) 2.7 b What is the second smallest value in -7, 5, 0.5065242, 4? 0.5065242 What is the fourth smallest value in -28, 2, 29/5, -0.3, 18, -2/9, -0.2? -0.2 Which is the biggest value? (a) 0.218 (b) -20 (c) 2 (d) 3/98 c What is the third biggest value in 1/4, -0.0305, -5, -2.14, -2/11? -2/11 What is the third smallest value in 0.2, -1/10, 774, 0.01, 0.1? 0.1 What is the seventh smallest value in 2, 0.2, 17, 0.04427, 3, 2/5, 1/3? 17 Which is the second biggest value? (a) 5 (b) 15 (c) -5 (d) -2/3 (e) -3063 a Which is the fifth smallest value? (a) -4/5 (b) 2/15 (c) -1219 (d) 43 (e) -2/11 (f) -1 b Which is the sixth smallest value? (a) -213 (b) 1/3 (c) -3 (d) 13 (e) 135/2 (f) 2.6 (g) 2/7 d What is the seventh biggest value in 1, -3, -5, 201/2, 2/3, -11/12, 2? -5 What is the smallest value in 1/225, -0.4, -9229, -0.03? -9229 What is the third biggest value in 4, 1/3, 8, 0, -581307? 1/3 Which is the smallest value? (a) -77 (b) 121 (c) -3 (d) -2/11 (e) 0.04 a Which is the fourth biggest value? (a) -1/44 (b) 0.03 (c) -1/7 (d) -3 (e) -10807 (f) -0.1 (g) 0.4 f Which is the fourth biggest value? (a) -8 (b) -0.1 (c) -0.022 (d) 0.2 (e) -1/8 e Which is the second biggest value? (a) -0.06 (b) 41/2 (c) 1/20506 c Which is the third biggest value? (a) 9340 (b) -0.08 (c) 1/311 b What is the biggest value in -99, -2/5, 3.88, -5, -0.1? 3.88 What is the fourth smallest value in 0.5, -3/8, -551, -1, -0.569, 1? -3/8 What is the biggest value in 103, 46, 0.2, 2/5, 2.1, 5? 103 What is the second biggest value in -194, 4, 1/29, 0.01, 31? 4 Which is the sixth biggest value? (a) -2 (b) 37057.4 (c) 5 (d) 2/21 (e) 2/5 (f) 2.1 (g) -1 g Which is the sixth biggest value? (a) 22/65 (b) -2 (c) 3 (d) -4 (e) -2/17 (f) -0.1 (g) 1 b What is the third biggest value in 2/19, 2/5, 294115, -3/7, 0.121? 0.121 Which is the biggest value? (a) 10 (b) 1 (c) 1/338 (d) -1106 a Which is the third biggest value? (a) 3 (b) 2/7 (c) 1043106 b What is the fifth smallest value in 3, -85, 1, -67, 0.1, -1, -2/5? 0.1 What is the second smallest value in 3/5, 39748, -697? 3/5 Which is the biggest value? (a) 0 (b) -1/4 (c) -1933.6318 a Which is the third smallest value? (a) -1 (b) 5 (c) -780821 (d) 4 (e) 16 d Which is the sixth smallest value? (a) -6 (b) -6025/3 (c) -2 (d) 1/2 (e) 0.3 (f) 1/4 d Which is the third biggest value? (a) 252627 (b) -0.5 (c) -1/13 (d) -9/5 b What is the second biggest value in -4.052, -23/4, -3? -4.052 Which is the second smallest value? (a) -0.5 (b) 17 (c) 0.3 (d) 6/941 (e) 5 d Which is the smallest value? (a) 2/49 (b) 3581.5 (c) -0.3 (d) 0.6 c What is the third smallest value in -1/248584, 0.4, 0.2? 0.4 Which is the smallest value? (a) -0.07 (b) 148 (c) 3 (d) -27 (e) 1/3 d What is the second biggest value in -0.1, -324/1603, 59? -0.1 What is the third smallest value in 2, 5, 67.1, 2/5, 111/7, -2/7? 2 What is the fourth smallest value in -14334.3, 3, 0.4, 4, 0.5? 3 What is the third biggest value in -1/4, 1314, -0.3, 52/5, -4, 1/3? 1/3 What is the sixth smallest value in -1/3, -0.05, 1/14, -1/4, 2/5, -1/547? 2/5 Which is the second smallest value? (a) 196.5 (b) -6/13 (c) 0 (d) 0.04 c Which is the second smallest value? (a) -0.04542 (b) -143/4 (c) 28 a Which is the fifth smallest value? (a) -2/5 (b) -1870 (c) -42 (d) 1/9 (e) 0.01 d Which is the fifth biggest value? (a) -5 (b) -35 (c) 0.636 (d) 0 (e) 3 b Which is the second biggest value? (a) -4 (b) 1/7 (c) 0.01 (d) -5 (e) -1 (f) -3/5 (g) -78 c What is the sixth biggest value in 2/7, 0.3, -1/4, 4, -0.5, -60.4872? -60.4872 What is the third biggest value in 1094, -2/11, -19.6, -8, -2, 0.09, 1/5? 0.09 Which is the fourth biggest value? (a) -7 (b) 4 (c) -32/3 (d) 1/5 (e) -18 (f) -0.5 (g) 234 f Which is the third smallest value? (a) 3/19 (b) 2 (c) 18.9 (d) 2/117 b Which is the second biggest value? (a) -2/3 (b) -1/3 (c) -2 (d) 2/13 (e) -15.5 (f) 5 (g) -19 d Which is the second smallest value? (a) -1 (b) 1/2 (c) -5/4 (d) 0.009 (e) -959 (f) 9 c Which is the fourth smallest value? (a) -0.03 (b) 4 (c) -1/6 (d) 6/5 (e) 0.5 (f) -1/79 e Which is the smallest value? (a) -603/16 (b) 2/5 (c) 0.1 (d) 2/3 (e) -0.1 a Which is the third biggest value? (a) -1107 (b) -264 (c) 0.1 (d) 2/45 b What is the fourth biggest value in 2, 464, -0.05, -2.33? -2.33 What is the fifth smallest value in 15206, 10, 1, -1.3, 3? 15206 Which is the third smallest value? (a) 846199 (b) -1/2 (c) -0.1 (d) 2/9 d Which is the fourth smallest value? (a) 0.03 (b) -396 (c) -33 (d) 1 (e) 6 d What is the second smallest value in 35, 4, 32565? 35 Which is the third biggest value? (a) -3.1 (b) 2/9 (c) 1 (d) -1082.01 a What is the fourth smallest value in -3, 4, 7, 0.156, 480? 7 Which is the fourth smallest value? (a) 2/11 (b) 0.07 (c) -1 (d) -126 a What is the fourth biggest value in 0.4, 24, -1/23, -14, -77, -2? -2 Which is the smallest value? (a) -35 (b) 0 (c) 0.3 (d) 3/2 (e) 13/7 a Which is the third smallest value? (a) -7/4 (b) 16152 (c) 1 (d) -2/15 c What is the fourth biggest value in -54, -0.1, -12610, -9? -12610 What is the second smallest value in -2/9, -3/5, 5581? -2/9 What is the fourth smallest value in 1, -0.2115, 2, 4, 1.41? 2 What is the fifth smallest value in 1/31, -2/7, -5, -31, 24? 24 What is the fifth biggest value in 1, 381, 8.874, -5/3, -0.4, -2, 3? -0.4 What is the fifth biggest value in 2/7, 2835, 0.3, 1.7, -3.8? -3.8 Which is the third smallest value? (a) 30 (b) -1800 (c) 1.658 a What is the third smallest value in 1/3, 7, 0.1, 0.2, -10025? 0.2 Which is the fifth smallest value? (a) 46 (b) 5 (c) -5 (d) -4.8 (e) -374 a Which is the smallest value? (a) 7/4 (b) -0.644992 (c) -3/2 (d) 3 (e) 0.4 (f) 1 (g) 6 c Which is the biggest value? (a) -2 (b) 1 (c) -16795 (d) -70 b What is the second biggest value in 33, 828, -2117? 33 Which is the second smallest value? (a) 11.3 (b) -232511 (c) 4 (d) -2/3 d Which is the smallest value? (a) 0.08 (b) -3 (c) 1 (d) 3/2 (e) -25 (f) -2/15 (g) 0.02 e What is the third biggest value in 10343992, -4, 3/8? -4 Which is the third biggest value? (a) 1 (b) -1/2 (c) 1/9 (d) -4/3 (e) 7 (f) -5/7736 c What is the third smallest value in 2, -4, -0.05, -1/9, 1801, -0.4? -1/9 What is the third biggest value in -27, 17/83052, -1/7? -27 What is the third smallest value in -1, 0.5, -2/25, 0.3, 2, 1/3, -66? -2/25 Which is the second biggest value? (a) -43 (b) -1/3 (c) 9432 (d) 1 d What is the third smallest value in -742, -49, -4, 201/8? -4 Which is the fourth smallest value? (a) 135626 (b) 0.3 (c) 1/3 (d) -0.2 a What is the second smallest value in 7.3, -3
{ "pile_set_name": "DM Mathematics" }
en 168 is divided by 40. 8 Calculate the remainder when 49329 is divided by 12. 9 What is the remainder when 623 is divided by 33? 29 Calculate the remainder when 4299 is divided by 64. 11 What is the remainder when 272 is divided by 48? 32 What is the remainder when 287 is divided by 10? 7 Calculate the remainder when 1075 is divided by 98. 95 Calculate the remainder when 398 is divided by 78. 8 What is the remainder when 1311 is divided by 215? 21 Calculate the remainder when 800 is divided by 153. 35 What is the remainder when 99 is divided by 37? 25 Calculate the remainder when 2286 is divided by 71. 14 Calculate the remainder when 5807 is divided by 33. 32 Calculate the remainder when 376 is divided by 8. 0 What is the remainder when 145 is divided by 141? 4 What is the remainder when 1379 is divided by 56? 35 What is the remainder when 57 is divided by 21? 15 Calculate the remainder when 786 is divided by 209. 159 Calculate the remainder when 669 is divided by 112. 109 What is the remainder when 366 is divided by 5? 1 What is the remainder when 6537 is divided by 13? 11 What is the remainder when 454 is divided by 23? 17 What is the remainder when 267 is divided by 256? 11 What is the remainder when 165 is divided by 24? 21 What is the remainder when 36139 is divided by 26? 25 Calculate the remainder when 6084 is divided by 34. 32 What is the remainder when 5351 is divided by 101? 99 Calculate the remainder when 418 is divided by 84. 82 Calculate the remainder when 1156 is divided by 20. 16 What is the remainder when 2145 is divided by 50? 45 Calculate the remainder when 803 is divided by 23. 21 Calculate the remainder when 921 is divided by 7. 4 What is the remainder when 577 is divided by 3? 1 What is the remainder when 145 is divided by 55? 35 Calculate the remainder when 487 is divided by 14. 11 What is the remainder when 3359 is divided by 22? 15 Calculate the remainder when 2648 is divided by 10. 8 What is the remainder when 6961 is divided by 81? 76 What is the remainder when 3226 is divided by 1611? 4 What is the remainder when 241 is divided by 80? 1 What is the remainder when 492 is divided by 33? 30 What is the remainder when 2572 is divided by 11? 9 Calculate the remainder when 180 is divided by 30. 0 What is the remainder when 37267 is divided by 242? 241 Calculate the remainder when 603 is divided by 61. 54 Calculate the remainder when 103 is divided by 11. 4 Calculate the remainder when 21 is divided by 13. 8 What is the remainder when 547 is divided by 25? 22 Calculate the remainder when 177 is divided by 92. 85 Calculate the remainder when 1028 is divided by 205. 3 What is the remainder when 433 is divided by 77? 48 Calculate the remainder when 1772 is divided by 36. 8 Calculate the remainder when 7237 is divided by 77. 76 Calculate the remainder when 339 is divided by 137. 65 Calculate the remainder when 193 is divided by 34. 23 What is the remainder when 491 is divided by 55? 51 What is the remainder when 203 is divided by 7? 0 What is the remainder when 275 is divided by 31? 27 Calculate the remainder when 228 is divided by 21. 18 What is the remainder when 1338 is divided by 1321? 17 What is the remainder when 4776 is divided by 4772? 4 What is the remainder when 73 is divided by 11? 7 What is the remainder when 73 is divided by 14? 3 What is the remainder when 162 is divided by 161? 1 What is the remainder when 1008 is divided by 996? 12 Calculate the remainder when 854 is divided by 57. 56 Calculate the remainder when 803 is divided by 72. 11 What is the remainder when 156 is divided by 41? 33 Calculate the remainder when 367 is divided by 92. 91 Calculate the remainder when 194 is divided by 18. 14 Calculate the remainder when 10350 is divided by 21. 18 Calculate the remainder when 12308 is divided by 18. 14 What is the remainder when 119 is divided by 4? 3 What is the remainder when 1255 is divided by 114? 1 What is the remainder when 511 is divided by 368? 143 Calculate the remainder when 833 is divided by 198. 41 What is the remainder when 8584 is divided by 64? 8 Calculate the remainder when 1779 is divided by 27. 24 Calculate the remainder when 95 is divided by 44. 7 Calculate the remainder when 1006 is divided by 84. 82 Calculate the remainder when 109 is divided by 21. 4 Calculate the remainder when 28 is divided by 12. 4 Calculate the remainder when 519 is divided by 9. 6 Calculate the remainder when 148 is divided by 19. 15 Calculate the remainder when 3370 is divided by 12. 10 What is the remainder when 72 is divided by 15? 12 Calculate the remainder when 1149 is divided by 22. 5 Calculate the remainder when 1387 is divided by 13. 9 Calculate the remainder when 905 is divided by 83. 75 Calculate the remainder when 172 is divided by 6. 4 What is the remainder when 235 is divided by 14? 11 Calculate the remainder when 2644 is divided by 127. 104 Calculate the remainder when 124 is divided by 26. 20 Calculate the remainder when 462 is divided by 141. 39 What is the remainder when 1995 is divided by 988? 19 Calculate the remainder when 8565 is divided by 36. 33 What is the remainder when 1362 is divided by 11? 9 Calculate the remainder when 103 is divided by 15. 13 What is the remainder when 3330 is divided by 35? 5 What is the remainder when 112 is divided by 29? 25 Calculate the remainder when 296 is divided by 13. 10 Calculate the remainder when 1342 is divided by 96. 94 What is the remainder when 419 is divided by 213? 206 What is the remainder when 505 is divided by 186? 133 What is the remainder when 694 is divided by 34? 14 Calculate the remainder when 27 is divided by 2. 1 What is the remainder when 1497 is divided by 40? 17 What is the remainder when 254 is divided by 6? 2 Calculate the remainder when 361 is divided by 56. 25 What is the remainder when 2980 is divided by 29? 22 Calculate the remainder when 447 is divided by 56. 55 What is the remainder when 377 is divided by 38? 35 What is the remainder when 328 is divided by 67? 60 Calculate the remainder when 133 is divided by 49. 35 Calculate the remainder when 382 is divided by 81. 58 What is the remainder when 42 is divided by 13? 3 What is the remainder when 1050 is divided by 262? 2 Calculate the remainder when 182 is divided by 173. 9 Calculate the remainder when 310 is divided by 52. 50 What is the remainder when 175 is divided by 22? 21 What is the remainder when 196 is divided by 42? 28 Calculate the remainder when 47 is divided by 29. 18 Calculate the remainder when 2523 is divided by 25. 23 What is the remainder when 1763 is divided by 20? 3 Calculate the remainder when 10 is divided by 7. 3 What is the remainder when 2098 is divided by 116? 10 Calculate the remainder when 75 is divided by 46. 29 Calculate the remainder when 398 is divided by 184. 30 What is the remainder when 1888 is divided by 70? 68 What is the remainder when 151 is divided by 55? 41 What is the remainder when 539 is divided by 68? 63 What is the remainder when 1761 is divided by 1751? 10 What is the remainder when 1295 is divided by 22? 19 Calculate the remainder when 1729 is divided by 51. 46 Calculate the remainder when 279 is divided by 235. 44 Calculate the remainder when 189 is divided by 20. 9 What is the remainder when 2130 is divided by 41? 39 Calculate the remainder when 117 is divided by 25. 17 What is the remainder when 4041 is divided by 448? 9 What is the remainder when 254 is divided by 64? 62 What is the remainder when 1982 is divided by 21? 8 Calculate the remainder when 1204 is divided by 239. 9 What is the remainder when 205 is divided by 9? 7 What is the remainder when 171 is divided by 6? 3 Calculate the remainder when 2219 is divided by 552. 11 What is the remainder when 821 is divided by 16? 5 What is the remainder when 3573 is divided by 13? 11 What is the remainder when 101455 is divided by 68? 67 What is the remainder when 270 is divided by 26? 10 What is the remainder when 130 is divided by 29? 14 Calculate the remainder when 129 is divided by 10. 9 Calculate the remainder when 3736 is divided by 21. 19 Calculate the remainder when 657 is divided by 146. 73 Calculate the remainder when 9371 is divided by 103. 101 Calculate the remainde
{ "pile_set_name": "DM Mathematics" }
is the closest to -14? (a) -11/3 (b) 4/7 (c) -2/9 a Which is the closest to -1? (a) -5/4 (b) -0.046 (c) 0.16 (d) -2 a What is the nearest to 10/7 in -1/3, 1/3, -0.05? 1/3 What is the nearest to 0 in 0.2, -41, 0.02? 0.02 Which is the nearest to 2/7? (a) 3 (b) 4 (c) -6/11 (d) -9/5 c Which is the nearest to 1? (a) 30 (b) 0.02 (c) 0.5 c What is the closest to -0.1 in 6, 1, 0? 0 What is the nearest to -0.03 in 0.07, 1/2, -1/8? -1/8 Which is the closest to 2/5? (a) -8 (b) 4/9 (c) -2 b What is the nearest to -10 in -7, -0.3, 33/5? -7 Which is the nearest to 0.2? (a) -0.2 (b) -23 (c) 1 a Which is the nearest to 2/7? (a) 26 (b) -2/11 (c) -7 (d) -0.5 b What is the nearest to -0.1 in -5/2, -2, -10, -4? -2 Which is the nearest to 0.1? (a) -0.1 (b) -6/17 (c) 0.5 a Which is the closest to 2.1? (a) 0.7 (b) 0.02 (c) 0.3 a Which is the nearest to 0? (a) 5 (b) -402 (c) 6 a What is the closest to -1/2 in -5, 0.1, 2/5, -49? 0.1 What is the nearest to 1 in -1206/11, -3, 0.4? 0.4 Which is the nearest to -81? (a) 1 (b) -3/2 (c) -1/5 (d) 0 b Which is the closest to 0? (a) -4/7 (b) 2/5 (c) 9 b What is the nearest to 0 in -4/23, 4/9, 0.5? -4/23 What is the nearest to 0.1 in 11, -1, 0.4? 0.4 Which is the closest to 0.04? (a) -0.04 (b) -0.3 (c) 0.03 (d) -1/2 c Which is the nearest to 2/11? (a) 62/7 (b) -5 (c) 0 c Which is the nearest to -4? (a) -5 (b) 16 (c) 2 (d) -0.02 a Which is the closest to -3041? (a) -3/4 (b) 5 (c) 1 a Which is the closest to 1? (a) 10 (b) -5 (c) 40 (d) 1 d What is the nearest to -1 in 1, -1, 0.07, 4? -1 Which is the nearest to -1? (a) 10 (b) 2/17 (c) -4 (d) -11 b What is the nearest to 0.1 in -0.5, -3/2, 0.3, -1? 0.3 Which is the closest to 1? (a) -4 (b) -5 (c) 0.1 (d) 0.2 d What is the nearest to 0.2 in 11, 5, 0, 2? 0 What is the closest to -95 in 7, -5, 1/2? -5 Which is the closest to 0? (a) 0 (b) -3/4 (c) -2 (d) 5 a Which is the nearest to -2? (a) -6 (b) 37 (c) 10 a Which is the nearest to -1/3? (a) 4 (b) -1380/19 (c) -4 c What is the closest to -2/43 in 2, -1/4, -3, -1/2? -1/4 Which is the closest to 3? (a) 5 (b) -0.7 (c) -0.2 a What is the nearest to 0 in -3, -0.1, -1/16, -0.5? -1/16 What is the nearest to 1/4 in 1.6, 4, -3? 1.6 What is the nearest to -1/82 in -2/13, 0.4, 1, 1/4? -2/13 Which is the closest to -0.066? (a) -2/3 (b) 6 (c) 1 (d) -1 a Which is the closest to 0? (a) -3/4 (b) -12 (c) -0.1 (d) -0.24 c What is the nearest to -12 in -1, -0.2, 4? -1 Which is the closest to -1? (a) -30 (b) -1 (c) -8 b Which is the closest to 0.08? (a) -0.23 (b) -3/2 (c) 0 c Which is the closest to 2/5? (a) 2/7 (b) 5 (c) -66 (d) -1 a What is the closest to -2/17 in 0.1, -2/33, -0.5, -1? -2/33 Which is the nearest to 2? (a) 4 (b) -2 (c) 0.08 c What is the nearest to 1/2 in -0.4, -1/10, -6, 2/23? 2/23 What is the closest to 4 in 0.2, 21, -0.4? 0.2 What is the closest to 2/5 in 1/2, 0, -1/5, 4? 1/2 Which is the closest to 7? (a) -25/4 (b) -5 (c) -4 c What is the closest to -175 in 14, -0.2, 1/6? -0.2 Which is the nearest to -3? (a) 1/4 (b) 23 (c) -5 (d) 5 c What is the nearest to -28 in -0.4, 4, -0.3, 0? -0.4 Which is the closest to -2/7? (a) 0.2 (b) 5 (c) -1/5 (d) 0 c Which is the closest to 1/2? (a) 4 (b) -0.1 (c) 3 (d) -1/3 b Which is the nearest to -2/5? (a) -2/9 (b) -1/59 (c) 3 (d) 0 a What is the closest to 2 in 4, 20, -1/13? 4 Which is the nearest to -2/3? (a) 0 (b) -9 (c) 2/9 (d) -2 a Which is the nearest to -1/2? (a) 1/2 (b) 75 (c) 0.4 c Which is the closest to -9/5? (a) -4 (b) 3 (c) 1 a Which is the nearest to 2/5? (a) -1 (b) -4 (c) -5/2 (d) 0.3 d What is the nearest to 2 in -128, 4/3, 3/5, -6? 4/3 What is the closest to 0.017 in 2/7, 2/15, -2/5, -5? 2/15 What is the nearest to 1 in -4/5, 0.4, 0.3, -30? 0.4 Which is the closest to 3/2? (a) -2/5 (b) -2 (c) 1 c What is the closest to -3 in -0.3, -0.17, -4, 0.4? -4 What is the closest to 1/5 in 4, 1, -5, -2/23? -2/23 Which is the closest to -2? (a) 4/3 (b) 5 (c) 2/7 (d) 52 c What is the nearest to -0.2 in 1/4, -9/23, 0.6, -4? -9/23 Which is the nearest to -2? (a) 6 (b) 5 (c) -4 (d) 1/11 c What is the closest to 0 in -2/15, -38, 2? -2/15 What is the closest to -2/7 in -1, -1/4, 0.1, 3? -1/4 What is the closest to 2 in 0.2, -0.3, -3, 0.01? 0.2 What is the closest to -1/4 in 3, -10, 2, -5? 2 Which is the closest to 55? (a) -2/5 (b) 2 (c) -1/3 b Which is the closest to -1? (a) -0.1 (b) 153 (c) 0.1 (d) -2/7 d What is the closest to 0 in -0.17, -4/3, 2, 6/11? -0.17 Which is the nearest to -1/7? (a) 4 (b) 0.4 (c) 0.3 c Which is the nearest to 2/5? (a) 2/3 (b) 0.03 (c) 3 a What is the nearest to 15 in 154, 5, -1/4, 2/7? 5 Which is the nearest to 0.2? (a) 0.12 (b) -1/3 (c) -0.135 (d) -0.4 a What is the closest to -0.1 in -3, 8, -2/271? -2/271 What is the closest to 20 in -0.5, 14, 3? 14 Which is the closest to -3? (a) 5 (b) 2/7 (c) 123/5 (d) 6 b What is the closest to 0.2 in 0.5, 0, -1/3, -0.5? 0 What is the nearest to -2/3 in -3, 1, -0.08, -20? -0.08 What is the closest to -3 in -2/7, 1, -0.2, -1/4? -2/7 Which is the closest to 0.1? (a) -0.001 (b) 2 (c) -23 a What is the nearest to -0.05 in 0, -4, -11? 0 Which is the closest to 3/19? (a) -8 (b) -1/4 (c) 2/3 (d) -5 b What is the nearest to 10 in 1, 0, -0.7? 1 What is the nearest to -1 in -1/9, 2, -16/7? -1/9 Which is the closest to 0.4? (a) -0.3 (b) 0.1 (c) -0.2 (d) 2/3 d Which is the nearest to -9/2? (a) -1/2 (b) -2/9 (c) 1/2 (d) -2 d What is the nearest to 0.1 in 2/5, -2/5, -5, 5? 2/5 Which is the nearest to -2/5? (a) -0.17 (b) -0.4 (c) 555 b What is the closest to 6 in 3/2, -1, -0.1, -4? 3/2 Which is the nearest to 1? (a) 0.06 (b) 3/4 (c) -2/3 b Which is the closest to -0.2? (a) -4 (b) -1/3 (c) 3 (d) 95 b What is the closest to -0.12 in 0.3, -3, -0.4? -0.4 What is the nearest to -0.1 in -3, -2/27, 6, 3/2? -2/27 What is the nearest to 2/5 in 0.2, -2, 0.4, -3? 0.4 Which is the closest to -1? (a) 8/7 (b) 3 (c) -1/5 c What is the closest to 0.1 in -1/2, 1/3, 5, 17? 1/3 What is the closest to -6/11 in 8.9, 0.3, -0.4? -0.4 Which is the nearest to -1/4? (a) 0.3 (b) -1/7 (c) 0.2 (d) -70 b What is the nearest to 3/175 in -1, 4, 0.3? 0.3 What is the closest to 7 in -4, 1, -0.2? 1 Which is the nearest to 0? (a) 0.5 (b) -5 (c) 1 (d) -1/6 d What is the nearest to -1 in 4, 82/7, -4/3? -4/3 Which is the nearest to 1? (a) 9 (b) 3/14 (c) -4 b Which is the nearest to 0? (a) -0.2 (b) 477/20 (c) 0.3 a What is the closest to -1 in -1, -3/2, 0.2, -6/5? -1 Which is the closest to -2/7? (a) 5 (b) -2/581 (c) -1/4 c What is the closest to -0.2 in 5/3, -0.93, 0? 0 Which is the nearest to 1/2? (a) 0.1 (b) -7 (c) 2/15 (d) 5 c What is the closest to -3 in 2/3, -1/14, 3, -4? -4 Which is the nearest to -0.1? (a) 0.1 (b) -9 (c) -13 (d) -0.1 d What is the closest to -0.3 in 1/3, 0.9, 4/5, 1? 1/3 Which is the closest to 0.1? (a) -0.5 (b) 4 (c) -18 (d) 0.4 d What is the closest to -1/3 in 2/11, -1.8, -13? 2/11 Which is the nearest to -0.1? (a) -12 (b) 22 (c) 4 (d) 0.3 d Which is the nearest to -0.06? (a) 5 (b) 0 (c) -3/7 (d) -2/13 b Which is the closest to 0.1? (a) 0.1 (b) -0.1 (c) -9 (d) 1/5 a Which is the nearest to 0.5? (a) 0.4 (b) -6 (c) -1/3 a What is the closest to -2/13 in 1/3, 4/9, -33? 1/3 Which is the nearest to -3? (a) 54 (b) -3 (c) -3/4 b What is the nearest to 1 in 9, -14, -0.1? -0.1 What is the nearest to 9 in -6, -1/7, -2? -1/7 Which is the closest to 3? (a) -8 (b) 0.4 (c) -3 b Which is the closest to -5? (a) -0.5 (b) -2/9 (c) 0.1 a What is the closest to -0.1 in 3, -4, -3, -0.05? -0.05 What is the nearest to -0.2 in -1/6, -1, -2, 0.331? -1/6 Which is the nearest to -1? (a) 1.2 (b) -3 (c) 3/2 b Which is the nearest to 0.07? (a) 4 (b) 1/7 (c) -0.9 b Which is the nearest to -4/5? (a) 0.3 (b) -6 (c) -0.4 c What is the nearest to -1599 in -3/8, 0.1, -1/3? -3/8 What is the nearest to -3 in 402, 4, 3? 3 Which is the closest to 36? (a) 1/6 (b) -5 (c) 0 (d) 1 d Which is the nearest to 0.1? (a) 0.4 (b) -2 (c) -3 a Which is the closest to 40/11? (a) 5 (b) -5 (c) -3 a What is the nearest to 0.1 in 2/3, 0, -2, -10? 0 What i
{ "pile_set_name": "DM Mathematics" }
prime factors of 1053? 3, 13 What are the prime factors of 7228? 2, 13, 139 List the prime factors of 4841. 47, 103 List the prime factors of 85278. 2, 3, 61, 233 What are the prime factors of 1779? 3, 593 List the prime factors of 4737. 3, 1579 List the prime factors of 6718. 2, 3359 What are the prime factors of 3004? 2, 751 List the prime factors of 65641. 41, 1601 What are the prime factors of 6337? 6337 List the prime factors of 84114. 2, 3, 4673 What are the prime factors of 68600? 2, 5, 7 List the prime factors of 113562. 2, 3, 701 What are the prime factors of 1059? 3, 353 What are the prime factors of 6175? 5, 13, 19 What are the prime factors of 2507? 23, 109 What are the prime factors of 119652? 2, 3, 13, 59 What are the prime factors of 134? 2, 67 List the prime factors of 3126. 2, 3, 521 What are the prime factors of 28322? 2, 7, 17 What are the prime factors of 4659? 3, 1553 List the prime factors of 65918. 2, 23, 1433 What are the prime factors of 6788? 2, 1697 What are the prime factors of 86237? 83, 1039 What are the prime factors of 11936? 2, 373 What are the prime factors of 216? 2, 3 List the prime factors of 6354. 2, 3, 353 What are the prime factors of 162680? 2, 5, 7, 83 List the prime factors of 45532. 2, 11383 What are the prime factors of 61880? 2, 5, 7, 13, 17 What are the prime factors of 10940? 2, 5, 547 What are the prime factors of 1285? 5, 257 List the prime factors of 358. 2, 179 List the prime factors of 689. 13, 53 What are the prime factors of 716? 2, 179 What are the prime factors of 30? 2, 3, 5 List the prime factors of 3620. 2, 5, 181 List the prime factors of 2031. 3, 677 List the prime factors of 2724. 2, 3, 227 What are the prime factors of 45591? 3, 7, 13, 167 List the prime factors of 10437. 3, 7, 71 What are the prime factors of 2210? 2, 5, 13, 17 List the prime factors of 549. 3, 61 What are the prime factors of 2104? 2, 263 What are the prime factors of 35978? 2, 17989 List the prime factors of 1930. 2, 5, 193 List the prime factors of 980. 2, 5, 7 List the prime factors of 1626. 2, 3, 271 List the prime factors of 17470. 2, 5, 1747 What are the prime factors of 60455? 5, 107, 113 List the prime factors of 1123. 1123 List the prime factors of 3744. 2, 3, 13 List the prime factors of 266. 2, 7, 19 What are the prime factors of 660? 2, 3, 5, 11 List the prime factors of 8066. 2, 37, 109 What are the prime factors of 28748? 2, 7187 List the prime factors of 4523. 4523 List the prime factors of 23484. 2, 3, 19, 103 List the prime factors of 2628. 2, 3, 73 List the prime factors of 1232. 2, 7, 11 What are the prime factors of 1138? 2, 569 What are the prime factors of 1319? 1319 What are the prime factors of 1372? 2, 7 What are the prime factors of 60? 2, 3, 5 List the prime factors of 2099. 2099 List the prime factors of 581. 7, 83 What are the prime factors of 9636? 2, 3, 11, 73 List the prime factors of 97969. 313 What are the prime factors of 14744? 2, 19, 97 What are the prime factors of 926? 2, 463 What are the prime factors of 13242? 2, 3, 2207 List the prime factors of 20386. 2, 10193 List the prime factors of 49643. 11, 4513 List the prime factors of 1235. 5, 13, 19 List the prime factors of 671. 11, 61 What are the prime factors of 89325? 3, 5, 397 List the prime factors of 60131. 157, 383 What are the prime factors of 2005? 5, 401 List the prime factors of 28856. 2, 3607 What are the prime factors of 9040? 2, 5, 113 List the prime factors of 6749. 17, 397 What are the prime factors of 17000? 2, 5, 17 List the prime factors of 4823. 7, 13, 53 What are the prime factors of 1428? 2, 3, 7, 17 What are the prime factors of 3160? 2, 5, 79 List the prime factors of 14992. 2, 937 List the prime factors of 63986. 2, 13, 23, 107 List the prime factors of 3444. 2, 3, 7, 41 List the prime factors of 5935. 5, 1187 What are the prime factors of 79029? 3, 2927 List the prime factors of 32462. 2, 16231 List the prime factors of 512. 2 What are the prime factors of 81? 3 What are the prime factors of 8323? 7, 29, 41 What are the prime factors of 11624? 2, 1453 What are the prime factors of 6550? 2, 5, 131 What are the prime factors of 84968? 2, 13, 19, 43 What are the prime factors of 1256? 2, 157 What are the prime factors of 350? 2, 5, 7 What are the prime factors of 18292? 2, 17, 269 What are the prime factors of 325? 5, 13 List the prime factors of 23907. 3, 13, 613 What are the prime factors of 5561? 67, 83 List the prime factors of 1559. 1559 What are the prime factors of 108638? 2, 54319 What are the prime factors of 2178? 2, 3, 11 List the prime factors of 41808. 2, 3, 13, 67 List the prime factors of 2985. 3, 5, 199 What are the prime factors of 921? 3, 307 List the prime factors of 23109. 3, 7703 List the prime factors of 16850. 2, 5, 337 List the prime factors of 46821. 3, 15607 List the prime factors of 127. 127 What are the prime factors of 1884? 2, 3, 157 List the prime factors of 2185. 5, 19, 23 List the prime factors of 3121. 3121 What are the prime factors of 7441? 7, 1063 List the prime factors of 995. 5, 199 List the prime factors of 97465. 5, 101, 193 What are the prime factors of 126010? 2, 5, 12601 List the prime factors of 1020. 2, 3, 5, 17 What are the prime factors of 3521? 7, 503 List the prime factors of 112659. 3, 17, 47 List the prime factors of 14809. 59, 251 What are the prime factors of 7561? 7561 List the prime factors of 16513. 7, 337 What are the prime factors of 61281? 3, 11, 619 What are the prime factors of 4293? 3, 53 What are the prime factors of 13684? 2, 11, 311 List the prime factors of 16692. 2, 3, 13, 107 List the prime factors of 12057. 3, 4019 What are the prime factors of 7485? 3, 5, 499 List the prime factors of 24384. 2, 3, 127 List the prime factors of 775. 5, 31 List the prime factors of 3270. 2, 3, 5, 109 List the prime factors of 60627. 3, 7, 2887 What are the prime factors of 64582? 2, 7, 659 What are the prime factors of 4939? 11, 449 List the prime factors of 161641. 161641 List the prime factors of 43. 43 List the prime factors of 2372. 2, 593 What are the prime factors of 79? 79 List the prime factors of 3292. 2, 823 What are the prime factors of 4651? 4651 List the prime factors of 105023. 105023 What are the prime factors of 27597? 3, 9199 List the prime factors of 1258. 2, 17, 37 List the prime factors of 1480. 2, 5, 37 What are the prime factors of 78730? 2, 5, 7873 List the prime factors of 13336. 2, 1667 What are the prime factors of 12177? 3, 11, 41 What are the prime factors of 20385? 3, 5, 151 What are the prime factors of 15066? 2, 3, 31 What are the prime factors of 9356? 2, 2339 List the prime factors of 12901. 7, 19, 97 What are the prime factors of 128527? 7, 43, 61 List the prime factors of 9396. 2, 3, 29 What are the prime factors of 44509? 47, 947 What are the prime factors of 6821? 19, 359 What are the prime factors of 45584? 2, 7, 11, 37 List the prime factors of 13037. 13037 What are the prime factors of 8549? 83, 103 What are the prime factors of 987? 3, 7, 47 What are the prime factors of 195? 3, 5, 13 What are the prime factors of 37289? 7, 761 What are the prime factors of 3703? 7, 23 List the prime factors of 603. 3, 67 What are the prime factors of 1079? 13, 83 What are the prime factors of 15854? 2, 7927 List the prime factors of 5944. 2, 743 List the prime factors of 194. 2, 97 List the prime factors of 14643. 3, 1627 List the prime factors of 630. 2, 3, 5, 7 What are the prime factors of 3386? 2, 1693 List the prime factors of 20024. 2, 2503 List the prime factors of 17848. 2, 23, 97 List the prime factors of 19095. 3, 5, 19, 67 List the prime factors of 7494. 2, 3, 1249 List the prime factors of 77095. 5, 17, 907 What are the prime factors of 491? 491 What are the prime factors of 111915? 3, 5, 829 What are the prime factors of 7031? 79, 89 List the prime factors of 36098. 2, 18049 What are the prime factors of 8347? 17, 491 List the prime factors of 16656. 2, 3, 347 What are the prime factors of 437? 19, 23 What are the prime factors of 29799? 3, 7, 11, 43 What are the prime factors of 108? 2, 3 What are the prime factors of 66643? 66643 What are the prime factors of 2520? 2, 3, 5, 7 List the prime factors of 47143
{ "pile_set_name": "DM Mathematics" }
False Is 3009689 composite? False Is 1750954 a composite number? True Is 90671995 a prime number? False Is 1560877 a prime number? True Is 61298086 composite? True Is 8588049 composite? True Is 10259257 a prime number? True Is 357774077 a prime number? False Is 1279451 a prime number? False Is 25823845 a prime number? False Is 2231027 a composite number? False Is 13494563 a composite number? False Is 5258447 a composite number? False Is 2110459 a prime number? False Is 157653371 a composite number? False Is 36428101 a prime number? False Is 45896591 prime? False Is 273831563 a composite number? True Is 1366881 composite? True Is 3192493 composite? True Is 180748177 composite? True Is 5093731 a prime number? True Is 10635503 composite? False Is 5372413 prime? True Is 1209572449 a composite number? False Is 16874327 a prime number? True Is 4799299 a prime number? True Is 93962849 prime? True Is 41101523 composite? True Is 3597229 prime? False Is 49567213 composite? False Is 4141133 a composite number? False Is 3113323 a prime number? False Is 253891117 a prime number? False Is 720955789 a composite number? False Is 105964123 composite? True Is 2107247 a prime number? True Is 66608497 prime? True Is 1943693 composite? False Is 253852135 a composite number? True Is 797843 a composite number? True Is 7026193 a composite number? True Is 488329 a prime number? True Is 152625377 composite? False Is 3717827 prime? False Is 92220367 prime? True Is 7414627 composite? True Is 34920377 a composite number? True Is 138533173 a prime number? True Is 43746929 a composite number? True Is 427056013 composite? True Is 7725937 prime? True Is 23630743 composite? True Is 658543 a composite number? True Is 169368119 a prime number? False Is 25382793 prime? False Is 2814103 a prime number? True Is 14484383 prime? True Is 810003 composite? True Is 15197263 a composite number? False Is 8398895 composite? True Is 4224229 composite? False Is 426353 composite? False Is 2496583 a composite number? True Is 310933733 a composite number? True Is 2994097 a prime number? True Is 2373821 composite? False Is 108981401 a prime number? True Is 90779519 composite? False Is 11123599 a composite number? False Is 12453407 prime? False Is 1013777 a composite number? True Is 6093053 a composite number? True Is 94423457 a composite number? True Is 273363527 composite? True Is 4613143 a prime number? False Is 824229143 a composite number? False Is 3264887 a composite number? False Is 14700029 a prime number? True Is 417345205 a prime number? False Is 202240267 prime? True Is 2893617503 a composite number? True Is 917801 composite? True Is 686890939 a composite number? True Is 16609921 a prime number? True Is 38679967 composite? True Is 47039719 prime? False Is 15322357 a prime number? True Is 1480277 a composite number? False Is 89224033 a prime number? False Is 304102283 prime? True Is 5422309 a prime number? False Is 1329457 composite? False Is 16238303 a composite number? False Is 20917795 prime? False Is 130334329 composite? False Is 3884389 prime? True Is 8905321 prime? True Is 2374997 composite? False Is 1536521 composite? True Is 1401216719 a prime number? False Is 526408511 a composite number? False Is 16068131 a prime number? True Is 84083839 a composite number? True Is 1329023 a composite number? True Is 1137229 prime? True Is 11356361 a composite number? True Is 2560837 composite? False Is 4468403 prime? False Is 219718721 composite? False Is 6236137 a prime number? True Is 66319067 prime? True Is 980371 prime? False Is 2494309 composite? True Is 83018669 composite? False Is 4986233 a prime number? False Is 54261223 composite? True Is 4969481 a composite number? True Is 23500951 prime? True Is 733511 composite? False Is 112153 composite? False Is 155426969 a prime number? False Is 2646937 composite? False Is 8057783 a prime number? False Is 61885319 a prime number? True Is 293005 composite? True Is 10167589 composite? False Is 57229113 a composite number? True Is 8905903 a composite number? False Is 59666401 prime? False Is 1375931 composite? True Is 3286061 prime? False Is 35041727 a prime number? False Is 256217 prime? False Is 75181663 a prime number? True Is 80100829 prime? True Is 61744805 prime? False Is 37470631 composite? True Is 7771853 prime? False Is 1131077 a prime number? True Is 293287 prime? False Is 126584459 a composite number? False Is 67439671 a prime number? False Is 1327433 composite? True Is 572745269 a prime number? True Is 113686 prime? False Is 2911043 composite? False Is 8530619 prime? True Is 94556857 a prime number? True Is 27149747 prime? True Is 10552639 a composite number? True Is 80677771 a prime number? False Is 9318449 a prime number? False Is 1518479 a prime number? False Is 2788889 a composite number? False Is 2006553 composite? True Is 8737627 prime? True Is 1829273 prime? False Is 46741 prime? False Is 231416959 a prime number? True Is 4070587 composite? True Is 2163065 composite? True Is 3841003 a composite number? True Is 2603803 composite? True Is 87142043 composite? False Is 111684311 a prime number? True Is 5382673 a composite number? False Is 15074099 composite? False Is 6322163 a prime number? True Is 627606337 a composite number? True Is 24667417 prime? True Is 1080029 composite? False Is 375763 prime? False Is 404233 a composite number? True Is 589692349 prime? False Is 4592339 a prime number? True Is 124640485 composite? True Is 21888149 composite? True Is 234479495 a prime number? False Is 48402803 a prime number? True Is 13542491 a prime number? True Is 298691219 a prime number? True Is 17712551 a composite number? False Is 4338331 a composite number? False Is 27011581 composite? False Is 69812227 composite? True Is 60669149 a composite number? False Is 130703 composite? True Is 21410923 composite? True Is 28849883 a prime number? True Is 5877103 a prime number? True Is 165161 prime? True Is 683959 composite? True Is 20355167 a prime number? False Is 25406714 a prime number? False Is 16118155 prime? False Is 46674391 a prime number? True Is 21441977 a prime number? False Is 31966723 composite? True Is 35029 a prime number? False Is 53267587 a prime number? True Is 100654069 a composite number? False Is 12960121 a composite number? True Is 11179381 a composite number? True Is 1541807 composite? True Is 12375697 composite? False Is 9684113 composite? True Is 34791511 composite? True Is 5407897 a composite number? True Is 552157457 prime? False Is 18971759 composite? False Is 86329949 a composite number? False Is 1050949 prime? True Is 3710537 a composite number? True Is 103628167 a prime number? True Is 310013701 a prime number? True Is 8082107 composite? True Is 23736767 a prime number? True Is 2475903 a composite number? True Is 2378111 a prime number? True Is 5601833 composite? False Is 20595431 prime? False Is 13570793 prime? True Is 4119686 a composite number? True Is 242406859 a prime number? False Is 3872509 a prime number? False Is 1166549 composite? False Is 132602467 a composite number? True Is 742891 a composite number? False Is 73150457 prime? False Is 69793807 composite? True Is 216442741 prime? True Is 4289069 composite? True Is 7838723 a prime number? True Is 7509611 composite? False Is 691307 a composite number? True Is 302597551 prime? False Is 66331 a composite number? True Is 30620333 composite? True Is 51599521 a composite number? True Is 155767969 a composite number? True Is 4846771 prime? True Is 16875857 composite? True Is 13976717 prime? True Is 3943801 a prime number? False Is 19758383 composite? True Is 205575511 prime? True Is 18153827 a prime number? True Is 16282261 a composite number? False Is 225443429 a composite number? False Is 2002151 prime? True Is 95377517 a composite number? False Is 182439473 a prime number? False Is 22629463 composite? True Is 5363209 a composite number? True Is 11819479 a prime number? False Is 185073409 prime? True Is 833191 a prime number? True Is 40345579 a composite number? False Is 1229257 a composite number? False Is 4532153 composite? False Is 21305363 composite? True Is 50137319 composite? False Is 29124163 a prime number? False Is 10989013 composite? True Is 333
{ "pile_set_name": "DM Mathematics" }
)? -1 What is the value of (-8 - -2)*(-4 - (-85)/20)? -3/2 What is (-6)/(-12) + 1*2/(-4)? 0 What is the value of -6 + ((-91)/(-21) - -2)? 1/3 4/90 + 16 + (-1092)/70 4/9 What is ((-3)/(-135))/((-29)/(-174))? 2/15 What is (-6)/12*40/(-300)? 1/15 What is the value of ((-2)/7)/(1179/917)? -2/9 What is (-5)/((-245)/(-14)) - (-40)/(-7)? -6 Evaluate (-33 - -32) + (-1 - (-5)/1). 3 What is the value of (34/68)/((-3)/2)? -1/3 What is (12/51)/((-32)/(-272))? 2 (-2)/88*4*(8 - 9) 1/11 (-9*(-32)/240)/((-21)/10) -4/7 What is (-4 + 107/27)/(1/(-12))? 4/9 What is the value of (1 + -3)/(10/15*-3)? 1 What is 32/(-12) + 5 + 8/(-6)? 1 Calculate 6/(-10) - 888/(-1080). 2/9 Calculate (-4)/(-7*(-12)/126). -6 What is the value of 3256/(-352) + 2/8? -9 Evaluate 1 + (-43)/9 + (-10)/45. -4 Evaluate (-30)/(-9)*(-9)/(-12). 5/2 Calculate 585/(-72) + (-2 - -10). -1/8 What is the value of (54/24)/(58/16 - 4)? -6 14/2 - ((-56)/(-7) + -6) 5 What is 77/(-88) - 3/(-8)? -1/2 What is 1 + 225/(-33) - (-402)/67? 2/11 (-222)/(-555) + ((-44)/30)/2 -1/3 -1 - (-24)/63 - 34/(-119) -1/3 What is (9/(-6))/(-6 - (-39)/6)? -3 What is the value of 7/(-42)*(-2 - -1)? 1/6 Calculate 8/(-32) - 9/(-4). 2 What is (-1 - -4)*2/(-15)? -2/5 3/6*6 + (-51)/153 8/3 What is 8/20 + 0 - 0? 2/5 Calculate -4 - (-2)/(-1) - (-132)/21. 2/7 What is the value of 1 - (-82)/(-60) - 65/(-130)? 2/15 Calculate ((-1008)/(-441))/((-4)/(-14)). 8 What is the value of 0 - 3/2*24/(-45)? 4/5 What is (48/(-72))/((-1)/(-6))? -4 Calculate 4/204*(20 + -26). -2/17 (640/125 + -5)*(-30)/6 -3/5 Calculate (5/(-15))/(1/2). -2/3 2/(-6) - ((-32)/(-3))/(-8) 1 ((-28)/455)/(4/10) -2/13 What is (1 - -3) + -6 + 5 + -5? -2 (56/(-35))/((-12)/5 + 2) 4 What is 12/30*(-20)/28? -2/7 Calculate (-40)/110 - 8/(-22). 0 What is 0 - 5/15 - (-2)/(-6)? -2/3 What is (-5*36/135)/(-4)? 1/3 Calculate -6*(8 + -13)/15. 2 Calculate -2*2*(-11 + 12654/1152). 1/16 What is the value of (6/9)/(2/3)? 1 Evaluate (-6)/4*8*3/162. -2/9 What is the value of 6/(-33) - 1984/704? -3 What is the value of 18/(-80) - (-9)/(-24)? -3/5 10/(-7 - -2) - (-3 - 4) 5 What is the value of 10 - (84/7 + -7)? 5 32 + -32 - (1 - 3/5) -2/5 What is the value of 11 + -9 - 280/133? -2/19 13 + (-99)/9 - (-1 + 4) -1 Calculate ((-15)/(-20))/((-3)/(-2)). 1/2 What is -4 + 92/24 + 14/12? 1 What is (-39)/(-12) + (-11 - -6 - -1)? -3/4 What is 4 + -3 - 1/1? 0 Calculate (16 - 259/14)*6/(-5). 3 Evaluate 64/(-512) - (-21)/(-24). -1 13 - (-13 - 852/(-33)) 2/11 Evaluate 2 + (4/(28/(-21)))/3. 1 Evaluate (-3 - -11 - 9) + 0 + -2. -3 (-2)/(-12)*32/56 2/21 What is the value of (-1)/((-2)/(-12)) + -4 + 6? -4 -1 + (-50)/(-8) - (-80)/(-16) 1/4 Evaluate (13/(-156)*-12)/(1/5). 5 What is the value of (-188)/(-210) + (-12)/15? 2/21 Calculate (-3)/12*2*-2 + 0. 1 Evaluate 2 + -7 + (-456)/(-88). 2/11 Calculate (-4)/26 - (-2613)/507. 5 Evaluate 2 - (-9)/(-6)*(-20)/(-6). -3 What is 5/((-20)/12)*(-2)/(-24)? -1/4 Calculate ((-3)/(-6))/((-4)/16). -2 What is (-25)/(-2)*(-588)/(-735)? 10 (-3)/12 - (-152)/(-160) -6/5 ((-2)/28)/(21/(-504)*-18) -2/21 (63/168 - (-22)/(-16))/(-1) 1 What is the value of 47/(-799) + 94/442? 2/13 What is the value of ((-25)/(-10))/((7/2)/(-7))? -5 (-63)/28*(-12)/9 3 What is the value of 28/84*(7 + (0 - -2))? 3 (-330)/(-231) - (-254)/(-168) -1/12 Calculate (7 - 114/18)/(4/18). 3 What is the value of (-7)/3*198/(-1155)? 2/5 ((-784)/1470)/((-2)/(-5)) -4/3 Evaluate ((-210)/156 + 2/(-13))*-2. 3 What is the value of 11/(-77) - 92/(-56)? 3/2 What is the value of (-3)/9*(-4 + 3 + 22)? -7 What is (-24)/18 - 5/(-3)? 1/3 Calculate 2/4 + 8/((-80)/(-15)). 2 What is (0 - 1)*(84 + -83)? -1 What is (42/4)/7*40/(-75)? -4/5 What is 2/(0 + (-2 - (1 - 1)))? -1 Calculate ((-32)/20)/4 - 38/(-70). 1/7 Calculate 5/(-6) - 6/(-9). -1/6 Evaluate 2 + (-276)/105 - 15/(-35). -1/5 (-91)/(-14)*2 + -8 5 Evaluate (-7 - 16/(-4)) + 2. -1 Calculate ((-220)/(-176))/(10/28). 7/2 What is the value of -4 - (-1*1 + 27 + -28)? -2 ((-15)/10)/(12/(-16)) 2 What is 2 + (26/13)/(4/(-10))? -3 Calculate (8/(-16))/((-15)/(-6)). -1/5 Evaluate (-234)/54 + (-10)/(2/(-1)). 2/3 Calculate 124/558 - (-86)/18. 5 What is the value of 225/(-27) - -8 - (-2)/6? 0 Calculate -2 + -1 - (-13)/(702/126). -2/3 8/3*(-45)/60 + 0 -2 What is the value of -3 + -5 + 5 + 6? 3 What is (-9 - (-561)/63)/((-2)/(-3))? -1/7 What is the value of 3 + -7 + 15/4? -1/4 (-7)/((-441)/(-14)) + 512/1656 2/23 Evaluate -4 - (-84)/(-14)*4/(-3). 4 (-126)/(-90) - 3*(-2)/10 2 Calculate 17/(-34)*4*15/24. -5/4 What is (-41)/7 + (216/(-84))/(-3)? -5 -1 + -3 - (-50)/12 1/6 Calculate 356/(-445)*1/(-2). 2/5 Evaluate (-10 - (0 + -5))/(-7 - -6). 5 What is -2*6*531/708? -9 What is the value of (-24)/(-14)*126/36 - 12? -6 (-2 - -1)/(12/36) -3 What is the value of (30/(-9))/(45/18)? -4/3 Evaluate 2/(-7) - 88/84 - -2. 2/3 Evaluate (-5)/(-1 - 3 - -3). 5 Calculate -34*2/16 - -4. -1/4 Evaluate ((-8)/12)/((-4)/(-18)) + 3. 0 (-12)/15 - 40/(-50) 0 What is the value of (-12)/1*(-6)/(9 - -3)? 6 Calculate (15/6 + -1)/(18 + -24). -1/4 What is 7 + 360/(-27) + (-12)/(-2)? -1/3 What is (1 - 22/40)*(-810)/486? -3/4 Calculate (-6)/(-9)*(10/(-16) - -1). 1/4 What is -3 + (11/(-3))/(-1)? 2/3 What is -4 - 204/16*1/(-3)? 1/4 What is the value of (-29)/5 + (-60)/(-75)? -5 Calculate (63/189)/((-2)/(-6)). 1 2/(16/(-6)) + (-10)/8 -2 What is the value of 1/(-2) - (5 + -7)? 3/2 (-12)/3 + (-1 - -1)/3 -4 (5 + (-2611)/525)*(-3 + 0) -2/25 (4/15)/(342/(-30) + 11) -2/3 What is the value of (8/6)/((-2)/(-12)*-2)? -4 (-19)/19*(9*1 + -1) -8 What is ((-4)/3)/((4 - 10) + 8)? -2/3 What is (5/(-10))/((-3)/10 + 0)? 5/3 What is (-2)/3*54/(-12)? 3 Evaluate (-3)/(-4) - ((-2)/2 + 2). -1/4 What is the value of ((-4)/12)/((-80)/(-96))? -2/5 Evaluate ((-4)/(-10))/(1 + (-12)/10). -2 Calculate ((-378)/(-105))/((-3)/(-30)*-4). -9 What is (6/(-9) + (-4)/3)/(-13)? 2/13 What is the value of (13/65)/((-85)/75 - -1)? -3/2 Evaluate 10/(-45) + 22/99. 0 What is the value of ((-325)/10)/13 + (-6)/(-2)? 1/2 ((-11)/3 - (-13 - -10))*2 -4/3 Evaluate 37 + -42 + (1 - -8). 4 Calculate (-4)/25*(-75)/(-10). -6/5 What is the value of (-504)/(-108)*(-9)/(-6)? 7 16/6*((-730)/(-100) + -7) 4/5 Evaluate -5 - 16/(-18) - 3/(-27). -4 Evaluate (-6)/(-32)*-4 - 3/(-4). 0 What is the value of -4 - ((-9 - -1) + 1)? 3 What is the value of 21/189*(-1 - -10)? 1 Evaluate 70/(-15)*(-24)/14. 8 What is 58/(-72) - (-208)/(-468)? -5/4 Evaluate (-35)/14*(-1)/((-5)/4). -2 What is 4/(-1) - ((3 - 5) + 4)? -6 (-2)/5 - 0/(16 + -6) -2/5 Calculate -2*(-1)/2*(-6 + 5). -1 What is the value of ((-4)/48)/(9/(-36))? 1/3 -5*(0 - (1 + -2)) -5 Evaluate (-2)/12*-2 - (-1)/6. 1/2 What is (-12)/(-30) + (-608)/95? -6 Evaluate (-7)/((-42)/(-30)) - -5. 0 What is the value of 18/(-135)*100/(-30)? 4/9 Evaluate (18/(-8))/(24/64). -6 What is the value of 122/793 + (-6)/(-130)? 1/5 Calculate (25/30)/((-15)/(-9) + -2). -5/2 ((-22)/55)/(((-208)/20)/(-4)) -2/13 Evaluate -1 + (3 - (-330)/(-114)) + 1. 2/19 What is the value of (2*-1)/(-6 + (-10)/(-2))? 2 Calculate (-61)/21 - (-228)/(-2394). -3 What is (-13)/((-260)/10)*-12? -6 Calculate (-32 - -25) + 3 + -1. -5 Calculate (3/(-9))/(95/(-57)). 1/5 What is ((-2)/(-5))/((-16)/20)? -1/2 What is the value of 13/5 + (-15)/5? -2/5 Evaluate 5*-1*(-6)/(-20). -3/2 What is the value of (12 - 12)/(-9) - (-4)/6? 2/3 Evaluate 3277/2373 - (-5)/(-3). -2/7 (-391)/(-552) - 1*(-9)/(-24) 1/3 Evaluate (2/(-14))/(-4 - -5). -1/7 Calculate ((-1)/6)/(5*13/65). -1/6 Calculate (-1)/11*2 - (25 - 25). -2/11 -3*(-2 + 1)/((-33)/22) -2 What is 6 + (-29 - -26)/(3/10)? -4 80/100 + (-1 - 0/(-2)) -1/5 What is the value of -8 - (8 - 234/15)? -2/5 What is 2/((-2)/(-7)) + 156/(-21)? -3/7 What is (-120)/65 - (-2)/(-13)? -2 What is the value of 1*1/(-6)*6? -1 Evaluate (45/(-105))/(((-12)/(-7))/6). -3/2 What is (-2)/(-4) - (-10)/60 - 1? -1/3 What is the value of 8 + -11 - (8/(-4) - 3)? 2 Evaluate -1*6*16/(-24). 4 Calculate 69/(-46)*4/9. -2/3 (5/(350/(-28)))/((-24)/(-10)) -1/6 What is the value of -3*(-3 - -2) + 2/(-2)? 2 What is the value of 105/(-91) - 4/(-26)? -1 What is the value of (196/(-280))/(-2 - (-12)/8)? 7/5 Calculate (-6)/15 + (84/10 - 7). 1 520/(-840) - (-1 + 15/21) -1/3 What is 45*(-7)/(-70)*8/42? 6/7 What is 6 + -2 + (-45)/9? -1 Calculate 3/15 - (27/(-15) + 1). 1 Calculate (-1)/(68/(-212)) - (4 - 1). 2/17 Calcula
{ "pile_set_name": "DM Mathematics" }
ate 11*v(j) + 6*y(j). 2*j**2 - 5*j + 48 Let t = 3 + -1. Let p(v) = 2*v**2 - v + 2. Let y be (8/(-6))/((-16)/36). Let u(m) = -8*m**2 + 1 + 2*m**y + 13*m**2 - m**3 - 4*m**2. Determine t*u(x) - p(x). 2*x**3 + x Let r(y) = 51*y**2 + y + 1. Let o(i) = -50*i**2 - i - 1. What is -5*o(b) - 6*r(b)? -56*b**2 - b - 1 Let v(k) = -25*k + 62. Let j(d) = 30*d - 65. Determine -3*j(q) - 4*v(q). 10*q - 53 Let g(m) = -m - 2. Let a = -39 + 41. Let j(r) = -r - a + 0*r + 1 - 1. Suppose -3*x + 25 = -2*v, v + 3*x = -2*x + 20. What is v*j(i) + 6*g(i)? -i - 2 Suppose 106*f - 66 = 146. Let k(h) = 3*h**2 - h + 2. Let l(v) = -4*v**2 - 5*v - 5. Let g(m) = -m**2 - m - 1. Let o(w) = 5*g(w) - l(w). Calculate f*o(u) + k(u). u**2 - u + 2 Let f(h) = -h - 1. Let i(g) = -18*g - 4. Let a = -9299 + 9298. Calculate a*i(z) + 4*f(z). 14*z Let n(o) = -57*o**2 - 1639*o + 5. Let c(u) = -46*u**2 - 1641*u + 4. Determine -5*c(b) + 4*n(b). 2*b**2 + 1649*b Let n(h) = -3*h**2 + 2*h - 3. Let u(j) be the third derivative of -j**5/20 + j**4/12 - 2*j**3/3 - 682*j**2 + j. Determine -5*n(o) + 4*u(o). 3*o**2 - 2*o - 1 Let w(d) = 5*d + 1. Suppose 53*u - 50*u = 5*t + 30, -5*u = -3*t - 34. Let j(n) = 9*n + 2. Determine t*j(h) + 5*w(h). -2*h - 1 Suppose 0 = -4857*d + 4802*d - 330. Let z(f) = -8*f**3 + f**2 + 6*f + 10. Let h(g) = -17*g**3 + 2*g**2 + 13*g + 20. Determine d*h(n) + 13*z(n). -2*n**3 + n**2 + 10 Let w(v) = -7 - 40*v**2 + 14 + 30*v**2. Suppose -4*h = -2*b, -5*b + 21 = -b - h. Let a(m) = -9*m**2 + 6. What is b*w(k) - 7*a(k)? 3*k**2 Let v(h) = 7*h**3 - 12*h**2 + 3*h + 1. Let g(r) = -15*r**3 + 25*r**2 - 7*r - 2. Suppose 54 = -47*s + 38*s. Determine s*g(i) - 13*v(i). -i**3 + 6*i**2 + 3*i - 1 Let k(h) = 10. Let x(v) = -6*v - 772. Give 5*k(s) + x(s). -6*s - 722 Let z(u) = 23*u**3 + 7*u**2 + 6*u + 102. Let s(m) = 50*m**3 + 16*m**2 + 13*m + 204. Calculate 6*s(p) - 13*z(p). p**3 + 5*p**2 - 102 Let c(p) = -16*p**3 + 2*p**2 + 2*p - 1. Let g(y) = -32*y**3 + 5*y**2 + 5*y - 2. Let l be (6/(-27))/((80/(-72))/(-10)). What is l*g(a) + 5*c(a)? -16*a**3 - 1 Let f = -171170 - -171172. Let b(y) = 6*y. Let m(o) be the first derivative of -3*o**2 - 1. Give f*m(w) + 3*b(w). 6*w Let x(h) = h - h**3 + 2*h**3 + 0*h**3. Let w(z) = -3*z**3 + z**2. Let o be (-36*(-2)/(-20))/(6/(-80)). Suppose o = -17*c - 7*c. Calculate c*x(f) - w(f). f**3 - f**2 - 2*f Let q(k) = -12*k**2 + 3*k - 8. Let n(f) = 5*f**2 - 13*f - 15. Let c(w) = -3*w**2 + 11*w + 14. Let g(b) = 8*c(b) + 7*n(b). What is -7*g(r) - 6*q(r)? -5*r**2 + 3*r - 1 Let v(p) = -13*p + 3. Let d(q) be the first derivative of -13*q**2 + 7*q - 1189. Determine 2*d(b) - 5*v(b). 13*b - 1 Let r(h) = -3*h**2 + 2*h - 3. Let p = -20093 + 20095. Let o(k) = 7*k**2 - 5*k + 5. What is p*o(s) + 5*r(s)? -s**2 - 5 Let p(n) = -n**3 + 4*n**2 + n - 4. Suppose -119 + 92 = 3*r - 0*x + 3*x, 0 = x. Let t(q) = -q**3 + 9*q**2 + 2*q - 8. Determine r*p(a) + 4*t(a). 5*a**3 - a + 4 Let a(n) = 47*n**2 + 4*n + 2. Let d(r) = -55*r**2 - 5*r - 3. Let b(w) = 7*a(w) + 6*d(w). Let i(y) = -y**2 - 5*y - 9. What is -5*b(z) + 2*i(z)? 3*z**2 + 2 Let y(a) = 9*a + 2. Let m(s) = 343*s + 77. Suppose -8 = -n + 66. Suppose 4*x - z = z - 310, -3*z - n = x. Determine x*y(q) + 2*m(q). -7*q Let d(b) = 67*b**2 + 4*b - 6. Suppose -48*l + 45 = -5*m - 43*l, m + 3*l = 7. Let g(p) = 45*p**2 + 3*p - 4. Calculate m*d(q) + 7*g(q). -20*q**2 + q + 2 Let k(b) = 166*b**2 - 8*b + 21. Let p(d) = 498*d**2 - 22*d + 58. Calculate 11*k(f) - 4*p(f). -166*f**2 - 1 Let a(x) = 11*x**2 + 4. Let g(d) = -6*d**2 - 2. Suppose 0 = -32*b - 19*b - 255. Determine b*g(z) - 3*a(z). -3*z**2 - 2 Let g(v) = -16*v**3 + v**2 - 14*v - 3. Let b(n) = -5*n**3 - 5*n - 1. Let t(z) = -z**3 + 29*z**2 - 19*z + 558. Let x be t(29). Calculate x*b(o) - 2*g(o). -3*o**3 - 2*o**2 - 7*o - 1 Let c(d) = -2*d + 10 - 2 - 3 + d - 4*d. Let p(b) = -9*b + 11. Calculate -9*c(s) + 4*p(s). 9*s - 1 Let l(y) = -11*y + 9. Let d(r) = 36 - 80 - 4*r + 33 + 14. Determine 17*d(t) - 6*l(t). -2*t - 3 Let b(f) = -108*f - 260. Let r(m) = 15*m + 37. What is 2*b(t) + 15*r(t)? 9*t + 35 Let n be 15/(-20) - ((-11)/4 - -3). Let j(t) = 1. Let v(g) = 2*g + 3. Let c(d) = d**2 - d + 5. Let p be c(0). Determine n*v(r) + p*j(r). -2*r + 2 Let k be (-18)/(-7) - 20/35. Let b(z) = -4*z**2 + 3 - 12*z + 3*z - z**2 - 2*z**k + 0*z**2. Let f(x) = 3*x**2 + 4*x - 1. What is 4*b(g) + 9*f(g)? -g**2 + 3 Let j(d) = d**3 + 10*d**2 - 5*d - 2. Let z be j(0). Let m(r) = 2*r + 6. Let k(c) = 2*c + 7. Give z*k(n) + 3*m(n). 2*n + 4 Let x be 15 - (-532)/399*(-3)/2. Let m(q) = 4*q - 6. Let i(v) = -17*v + 5 + 8 + 4*v. Let o(z) = -z. Let g(f) = i(f) - 4*o(f). Give x*m(c) + 6*g(c). -2*c Let n(f) = -21*f - 6. Let d = 62 - 73. Let t(u) = 41*u + 11. What is d*n(b) - 6*t(b)? -15*b Let c(n) = 23*n. Let s be 118*(12/8 - (-1 - -2)). Suppose 2*b = s - 51. Let v(y) = -12*y. Calculate b*c(p) + 7*v(p). 8*p Let o(v) = 4*v + 1. Let w(k) = 204 - 107 - 96. Calculate o(c) - 2*w(c). 4*c - 1 Let y(h) = -3*h**2 + 5. Let g(w) = 40*w**2 + 13*w + 8. Calculate g(p) - 2*y(p). 46*p**2 + 13*p - 2 Let l(o) = o**2 - 2*o + 8. Let w(x) = -1040*x**2 + 20*x - 84. Give 10*l(a) + w(a). -1030*a**2 - 4 Let f(m) = m**2 - 6*m. Let b(t) = t. Suppose 0 = 2*n - 1142 + 1086. Suppose n*a + 29 = 1. Give a*f(w) - 6*b(w). -w**2 Let f(u) = -4082*u - 5. Let t(d) = 136752*d + 168. Calculate -168*f(r) - 5*t(r). 2016*r Let g(f) = -f. Let s(u) = -5*u. Suppose 0 = 4*p + 4, -3*m - 5*p = -6*p - 31. Let c be (5*m/25)/(-2). Suppose -8*i = -3*i - 20. What is c*s(x) + i*g(x)? x Let i(p) = 1 + p + 2*p**2 + p**2 - 4*p**2. Let a(w) = -2*w**3 - 4*w**2 + 4*w + 4. Suppose 1572*k - 13200 = 912*k. Calculate k*i(l) - 5*a(l). 10*l**3 Let s(l) = 5*l**2 - 7*l - 42. Let k(z) = 11*z**2 - 15*z - 92. What is 4*k(r) - 9*s(r)? -r**2 + 3*r + 10 Let p(y) = -7*y**2 + 7*y - 4. Let s be (-28)/5 + 6/(-15) + 0/(-66). Let k(x) = -6*x**2 + 6*x - 5. Give s*k(b) + 5*p(b). b**2 - b + 10 Let q(w) = -10*w + 607. Let x(s) = 3*s. Give q(u) + 3*x(u). -u + 607 Let n(d) = -13832*d - 171. Let f(p) = -117572*p - 1444. Determine 9*f(g) - 76*n(g). -6916*g Let v(f) = -2576*f + 207. Let y(g) be the first derivative of 25*g**2/2 - 2*g - 1068. Determine -4*v(o) - 414*y(o). -46*o Let t(w) = -25*w - 810. Let i(v) = -11*v - 405. What is 7*i(n) - 3*t(n)? -2*n - 405 Let y(z) = -z**2 + 5*z - 3. Let b(n) = -n**3 - 18*n**2 + 402*n + 11. Let g be b(13). Let u(r) = 3*r**2 - 20*r + 13. Give g*u(p) - 9*y(p). 3*p**2 - 5*p + 1 Let u(o) = -59*o - 23. Let j(g) = 18*g + 7. Give 7*j(q) + 2*u(q). 8*q + 3 Let o(x) = -x**2 + x - 8. Let d(j) = 2*j**2 - 2755*j + 24. Calculate -d(v) - 3*o(v). v**2 + 2752*v Let h(w) = 10*w**2 - 220*w + 52. Let i(b) = 4*b**2 - 74*b + 18. Calculate -4*h(f) + 11*i(f). 4*f**2 + 66*f - 10 Suppose 4*l = w - 15, 3*l + 5 = w + w. Let a be (-33 - -32)/(-3 - (2 - 6)). Let g(z) = z**2 - 6*z + 5. Let p(u) = u - 1. Give a*g(s) + w*p(s). -s**2 + s Let s(q) = -q + 1. Let b(n) be the first derivative of -5*n**2/2 + 16*n - 7154. Determine -b(a) + 3*s(a). 2*a - 13 Let o(u) = -4*u - 35. Let z(n) = -13*n - 17*n - 12 - 5 + 40*n - 12*n. Give -4*o(m) + 7*z(m). 2*m + 21 Let s(g) = -44 - 5*g + 38 - g + 5*g. Let l(w) = -3*w - 18. Let z(k) = -107*k + 747. Let q be z(7). Calculate q*l(b) + 7*s(b). -b - 6 Let p(q) = -28*q**2 + 15*q - 2. Let b(a) = 48*a**2 - 23*a + 3. Calculate 5*b(v) + 8*p(v). 16*v**2 + 5*v - 1 Let k(b) = -11*b - 1. Let a(u) = -16*u**2 - 73*u. Let d(n) = -a(n) + 6*k(n). Let v(h) = 11*h**2 + 5*h - 4. Calculate 5*d(q) - 7*v(q). 3*q**2 - 2 Let v(i) = 2*i**3 - 4*i**2 + 9. Let x = -127 - -154. Let q be x/8 + 93/(-248). Let n(w) = w**3 - 2*w**2 + 5. Determine q*v(m) - 5*n(m). m**3 - 2*m**2 + 2 Let c = 124 - 128. Let f(m) be the first derivative of -m**2 - 7*m + 10. Let w = 169 - 159. Let d(t) = -t - 3. Give c*f(o) + w*d(o). -2*o - 2 Suppose -4*y - 1 + 17 = 0. Let m(s) = -3 + 9 - y + 2*s + 7*s**2. Let z(p) = -14*p**2 - 5*p - 5. What is 5*m(i) + 2*z(i)? 7*i**2 Let f(g) = -21*g**2 - 6*g - 10. Let k(b) = -4*b**2 - b - 2. Let h be (48/12)/((-8)/(-14)) - (-2 - -7). Calculate h*f(x) - 11*k(x). 2*x**2 - x + 2 Let j(v) = 0*v - 2 + 3*v**2 + v + v. Let r = 23 - 20. Let g(u) = 81*u + r - 76*u - 8 + 7*u**2. Give 6*g(d) - 15*j(d). -3*d**2 Let o(q) be the second derivative of q**4/2 - q**3/6 + 3*q**2/2 - 8*q + 45. Let y(m) = 13*m**2 - 2*m + 5. Determine -9*o(d) + 4*
{ "pile_set_name": "DM Mathematics" }
(-4). Suppose -4*r = -i*w - 0*r + 26, 3*w = -3*r - 9. What is f in -4/3*f - 2*f**w + 2/3*f**4 + 0 + 0*f**3 = 0? -1, 0, 2 Let m(q) be the third derivative of 1/4*q**4 + 0 + 2*q + 0*q**3 - 13/30*q**5 + 59/240*q**6 - 1/32*q**8 + 6*q**2 + 1/210*q**7. Determine g, given that m(g) = 0. -2, 0, 3/7, 2/3, 1 Let p = 6204109/7 + -886301. Factor 0*y + p*y**3 + 0 - 92/7*y**2. 2*y**2*(y - 46)/7 Let w(t) be the second derivative of t**7/2016 - 7*t**6/288 + t**5/4 - 5*t**4/4 + 3*t**2/2 + 24*t + 2. Let h(a) be the third derivative of w(a). Factor h(p). 5*(p - 12)*(p - 2)/4 Let l = -331 - -335. Suppose 5 = 3*k - 4*i - 0, l*k - 8 = 4*i. Factor -3*c + 1/2*c**k + 5/2*c**2 + 0. c*(c - 1)*(c + 6)/2 Let q(i) = -30*i**2 - 610*i + 1855. Let u(x) = -5*x**2 - 102*x + 309. Let d(r) = -6*q(r) + 35*u(r). What is g in d(g) = 0? -21, 3 Let p be (-3 + 29/5)/(67/(32830/343)). Determine b so that 35/2*b**3 + 10/3*b**p - 35/2 - 505/6*b - 105/2*b**2 = 0. -7, -1, -1/4, 3 Let f be 4119/306 + 1238/31569. Determine j so that -f*j**2 - 1/4*j**3 - 1458 - 243*j = 0. -18 Let f(p) = -42*p**2 + 173*p - 20. Let k be f(4). Let l(t) be the third derivative of -1/15*t**5 + t**4 + 0*t + 0 - 8*t**2 + k*t**3. Factor l(s). -4*s*(s - 6) Let b be 15/(-65) - 14546/1638. Let i = 610/63 + b. Factor -i*o + 0 + 8/7*o**2 - 4/7*o**3. -4*o*(o - 1)**2/7 Let w(m) = -94*m**2 - 1140*m - 144. Let b be w(-12). Factor b + 7/9*l + 1/9*l**2. l*(l + 7)/9 Let p be 15 + 56 + 1*-1. Suppose -5*a = -p + 5. Factor 24 - 9 - 7*i**3 + 35*i**2 - a*i**3 + 70*i. -5*(i - 3)*(i + 1)*(4*i + 1) Solve -236/9 + 2/9*h**2 + 26*h = 0 for h. -118, 1 Let y(g) be the first derivative of -4*g**6/15 + 158*g**5/25 - 16*g**4/5 - 938*g**3/15 - 114*g**2/5 + 1406. Suppose y(l) = 0. Calculate l. -2, -1/4, 0, 3, 19 Let p(h) be the third derivative of -17/20*h**5 + 0*h - 1/40*h**6 - 90*h**3 + 83 + 2*h**2 - 12*h**4. Factor p(s). -3*(s + 5)*(s + 6)**2 Suppose 30*u = 26*u + 16. Suppose -u*x + 5*c - 5 = 0, -c + 1 = -5*x + 4*x. Let x - 5/2*g + 1/2*g**2 = 0. What is g? 0, 5 Factor 0 + 2/9*i**4 + 8/3*i**3 + 28/3*i + 82/9*i**2. 2*i*(i + 2)*(i + 3)*(i + 7)/9 Let v(n) = -30*n**2 - 9194*n + 14168. Let a be v(-308). What is w in a*w + 1/11*w**5 - 46/11*w**4 + 52*w**3 + 0 - 88*w**2 = 0? 0, 2, 22 Suppose 0 = -9*z + 22 - 4. Determine d, given that -16*d**z - 9*d**2 - 3*d**2 + 0*d**2 - 48*d - 4*d**3 = 0. -4, -3, 0 Let z(b) = -76*b + 400. Let q(c) be the third derivative of 0 - 200/3*c**3 + 0*c - 32*c**2 - 1/60*c**5 + 77/24*c**4. Let h(x) = 4*q(x) + 3*z(x). Factor h(l). -4*(l - 10)**2 Suppose -10*q = 3*q. Find j such that 5*j**5 - j**4 + 7*j**4 + 30*j**2 - 6*j**4 - 35*j**3 + q*j**5 = 0. -3, 0, 1, 2 Let h = 100474/5 + -20092. Suppose 3*g - 5*i + 4 = -15, -i + 3 = -g. Determine s so that -16/5*s**g + 12/5*s**3 + 2/5*s**4 - 12/5*s + h = 0. -7, -1, 1 Let x(y) be the second derivative of 5*y**7/21 + 19*y**6/15 - 49*y**5/10 - 71*y**4/6 + 116*y**3/3 - 20*y**2 - 58*y + 2. Suppose x(o) = 0. What is o? -5, -2, 1/5, 1, 2 Suppose 0 = -8*b - 83 + 123. Let v be 2*(22/(-4) + b) + 1. Factor v*s - 1/8 + 1/8*s**2. (s - 1)*(s + 1)/8 Let q be -1*(-6677)/(-396) - -17. Let v(c) be the second derivative of 7/72*c**4 - q*c**3 + 0 + 1/12*c**2 - 1/40*c**5 - 3*c. Factor v(m). -(m - 1)**2*(3*m - 1)/6 Suppose m = o + 4, 60*o = -m + 58*o + 16. Let a be 12*(-30)/65 + m. Factor -24/13 + 6/13*d**2 - a*d. 2*(d - 6)*(3*d + 2)/13 Let u(n) be the first derivative of 0*n + 0*n**2 + 3/35*n**5 + 3/7*n**4 - 5/7*n**3 - 67. Determine f, given that u(f) = 0. -5, 0, 1 Suppose 123*h - 9 = -9. Let c(j) be the first derivative of 1/2*j**3 + 8 - 3/2*j**2 + h*j + 3/8*j**4. Factor c(p). 3*p*(p - 1)*(p + 2)/2 Find t such that -263/2*t**2 + 100*t + 22 - 88*t**3 = 0. -2, -2/11, 11/16 Let m(c) = 2*c**2 + 2*c + 1. Let u(a) be the first derivative of 7*a**3/3 + 44*a**2 - 1596*a - 117. Let k(l) = -12*m(l) + 3*u(l). Let k(r) = 0. Calculate r. 40 Suppose 28 = -5*h + 53. Factor -h*t**3 + 15*t**2 + 18*t - 2*t**3 - 7*t**3 + 11*t**3. -3*t*(t - 6)*(t + 1) Let k = 179 + -330. Let c = k + 153. Factor -4*i**2 + 65 + i**3 - 17 - 32*i + 5*i**3 - c*i**3. 4*(i - 2)**2*(i + 3) Let l(g) be the second derivative of g**5/40 + 7*g**4/6 - 55*g**3/4 - 197*g. Factor l(x). x*(x - 5)*(x + 33)/2 Let z be (-1 - 17/255*-24)*2/3. Factor -z*a**2 + 8/5 + 0*a. -2*(a - 2)*(a + 2)/5 Factor -55516 + 8*q**2 + 140*q + 55051 - 3*q**2. 5*(q - 3)*(q + 31) Let b be (-1 - -4)*((-7744)/432 + 18). Factor 2/9*q**5 + 0 - 2/9*q**4 - b*q**3 + 0*q + 2/9*q**2. 2*q**2*(q - 1)**2*(q + 1)/9 Solve 4/7*r**2 + 428*r - 6008/7 = 0 for r. -751, 2 Let t(i) be the third derivative of -i**6/120 - i**5/6 - 3*i**4/8 + 852*i**2. What is p in t(p) = 0? -9, -1, 0 Let m(k) = -k - 46. Let a be m(0). Let r = 48 + a. Solve -3*t**r - 8 + 5*t - 11*t + 5*t**2 = 0 for t. -1, 4 Let l(c) = c**2 - 61*c - 152. Let h(u) = -27*u. Let d(x) = 5*h(x) - l(x). Let d(b) = 0. What is b? -76, 2 Let h(v) = 5*v + 0 - 7 - 8*v. Let z be h(-5). Factor -k**3 - 6*k**2 - 1 + z*k**2 + 1. -k**2*(k - 2) Let i be 2/(-5) - (-4)/(40/(-49)). Let s = -351/70 - i. Factor 1/7*d**2 - 3/7 + s*d. (d - 1)*(d + 3)/7 Let p(m) be the third derivative of 24*m**7/35 - 97*m**6/30 - 58*m**5/15 + 122*m**4/3 - 112*m**3/3 + 4*m**2 - 2*m + 167. Let p(c) = 0. Calculate c. -14/9, 1/4, 2 Let b be (4/(-42))/(78 - 559168/7168). Factor 0*f + 2/3*f**3 - b*f**2 + 0. 2*f**2*(f - 16)/3 Let f be ((-183)/(-42) + 1155/(-210))/(48/(-56)). Factor -f*g + 0 + 0*g**2 + 1/3*g**3. g*(g - 2)*(g + 2)/3 Let i(p) be the second derivative of -p**5/5 - 136*p**4 - 36992*p**3 - 5030912*p**2 - 1136*p. Find z, given that i(z) = 0. -136 Let d(w) = -w - 7. Let a be d(-13). Factor o + a*o + o + 6*o - 5*o**2 - o**3. -o*(o - 2)*(o + 7) Let o(u) be the first derivative of u**4/2 - 38*u**3 + 315*u**2 - 918*u - 362. Factor o(a). 2*(a - 51)*(a - 3)**2 Let i = 6126 + -18374/3. Suppose -14 = -5*k + 1. Factor -8/3*l**k + 4/3 + 4/3*l + i*l**5 - 8/3*l**2 + 4/3*l**4. 4*(l - 1)**2*(l + 1)**3/3 Let b(l) be the third derivative of -2*l**7/105 - l**6/6 - 4*l**5/15 - l**2 + 199. Solve b(s) = 0 for s. -4, -1, 0 Let y(s) be the first derivative of -s**4/12 + 19*s**3/9 - 8*s**2/3 - 12*s - 5498. Determine h, given that y(h) = 0. -1, 2, 18 Let o be 17 - (-7 - (-1 + -6)). Suppose -3*g - 2*t = -o, -3 = 4*g - g - 3*t. Factor 0*k + 0 + 8/9*k**2 + 4/9*k**g. 4*k**2*(k + 2)/9 Let l(t) = -8*t**4 - t**2 - 4*t - 1. Let w(q) = 33*q**4 + 598*q**3 + 118804*q**2 + 7760016*q - 15999996. Let p(h) = -4*l(h) - w(h). Factor p(c). -(c - 2)*(c + 200)**3 Let h(m) = -4*m**3 + 54*m**2 + 63*m + 408. Let z be h(15). Factor -2 - 38/9*l - 2/9*l**z - 22/9*l**2. -2*(l + 1)**2*(l + 9)/9 Suppose -1164*s**2 - 212*s**3 + 359 + 395 - 8*s**4 + 304 - 526 - 428*s = 0. What is s? -19, -7, -1, 1/2 Let c be 3 + (10/(-8) - 175/105). Let o(i) be the first derivative of -7 + 3/4*i**2 - 9/4*i - c*i**3. Factor o(j). -(j - 3)**2/4 Let j = 105432 - 105430. Let u = 4 - -1. Factor 2*r**4 - 5/2*r + 1/2*r**u - r**j - 1 + 2*r**3. (r - 1)*(r + 1)**3*(r + 2)/2 Let b = 32 - 57. Let j be (-40)/b*35/2. Find y such that j*y**2 - 8*y**3 + 30*y**2 + 32 - 144*y + 8*y**2 = 0. 1/4, 4 Let z be ((-60)/(-9))/(-4) + (-3)/9. Let d be 1936/112 - z/(-7). Solve 5*i**3 - d*i**3 - 7*i**4 + 11*i**4 + 8*i**2 = 0 for i. 0, 1, 2 Let c = 429 + -424. Solve 20*a + 61*a**3 + 1483*a**5 - 4*a - 29*a**2 + 148*a**4 + a**2 - 1513*a**c - 167*a**3 = 0 for a. -2/5, 0, 1/3, 1, 4 Let b = 11829 - 11829. Let y(u) be the second derivative of 1/30*u**5 - 9*u + b*u**2 + 0*u**3 + 0 - 1/18*u**4. What is v in y(v) = 0? 0, 1 Let h be 9093/23382 + 39/108 + 1/(-4). Factor -35/2*w + 8*w**2 + 9 + h*w**3. (w - 1)**2*(w + 18)/2 Determine b, given that -20/3*b**5 + 34/3*b**2 - 343/3*b**4 + 0 - 49/3*b**3 + 0*b = 0. -17, -2/5, 0, 1/4 Factor 0 + 9/2*b**2 - 357/2*b. 3*b*(3*b - 119)/2 Let i(b) = 10*b**4 + 62*b**3 + 136*b**2 + 108*b + 8. Let p(g) = -20*g**4 - 124*g**3 - 271*g**2 - 215*g - 18. Let j(f) = -7*i(f) - 4*p(f). Factor j(k). 2*(k + 2)**3*(5*k + 1) Suppose -97*h = -j - 92*h - 12, -9 = -3*h. Let k(x) be the first derivative of x - 19 + 1/12*x**2 - 1/18*x**j. What is r in k(r) = 0? -2, 3 Let o(t) be the second derivative of -5/51*t**4 - 82*t + 0 + 30/17*t**2 + 19/51*t**3 + 1/170*t**5. Find i such that o(i) = 0. -1, 5, 6 Let l(u) be the first derivative of 22*u**5/25 - 34*u**4/5 - 102*u**3/5 - 58*u*
{ "pile_set_name": "DM Mathematics" }
of 1/2, to the nearest integer? 101 What is the square root of 3042 to the nearest integer? 55 What is the cube root of 1752 to the nearest integer? 12 What is 2346 to the power of 1/8, to the nearest integer? 3 What is the third root of 48694 to the nearest integer? 37 What is 15537 to the power of 1/3, to the nearest integer? 25 What is 653 to the power of 1/4, to the nearest integer? 5 What is the cube root of 1952 to the nearest integer? 12 What is 5882 to the power of 1/10, to the nearest integer? 2 What is the square root of 1797 to the nearest integer? 42 What is 1668 to the power of 1/7, to the nearest integer? 3 What is the ninth root of 431 to the nearest integer? 2 What is the cube root of 8545 to the nearest integer? 20 What is the square root of 48211 to the nearest integer? 220 What is 84242 to the power of 1/3, to the nearest integer? 44 What is 6075 to the power of 1/3, to the nearest integer? 18 What is 26130 to the power of 1/2, to the nearest integer? 162 What is 7910 to the power of 1/3, to the nearest integer? 20 What is the seventh root of 385 to the nearest integer? 2 What is the eighth root of 303 to the nearest integer? 2 What is the fourth root of 83104 to the nearest integer? 17 What is the fourth root of 2320 to the nearest integer? 7 What is the square root of 595 to the nearest integer? 24 What is the cube root of 2990 to the nearest integer? 14 What is 1910 to the power of 1/3, to the nearest integer? 12 What is 196 to the power of 1/2, to the nearest integer? 14 What is the cube root of 110655 to the nearest integer? 48 What is 35696 to the power of 1/7, to the nearest integer? 4 What is the cube root of 22457 to the nearest integer? 28 What is 133 to the power of 1/2, to the nearest integer? 12 What is 1498 to the power of 1/4, to the nearest integer? 6 What is the ninth root of 195 to the nearest integer? 2 What is the third root of 1850 to the nearest integer? 12 What is 26568 to the power of 1/9, to the nearest integer? 3 What is 123658 to the power of 1/2, to the nearest integer? 352 What is the square root of 34119 to the nearest integer? 185 What is 1239 to the power of 1/2, to the nearest integer? 35 What is 520 to the power of 1/7, to the nearest integer? 2 What is 141 to the power of 1/10, to the nearest integer? 2 What is the third root of 887 to the nearest integer? 10 What is the third root of 10261 to the nearest integer? 22 What is the tenth root of 3675 to the nearest integer? 2 What is the seventh root of 77571 to the nearest integer? 5 What is the eighth root of 891 to the nearest integer? 2 What is 64723 to the power of 1/6, to the nearest integer? 6 What is 7121 to the power of 1/3, to the nearest integer? 19 What is the eighth root of 15754 to the nearest integer? 3 What is the ninth root of 4966 to the nearest integer? 3 What is the square root of 521 to the nearest integer? 23 What is the square root of 1279 to the nearest integer? 36 What is 11277 to the power of 1/9, to the nearest integer? 3 What is 10 to the power of 1/7, to the nearest integer? 1 What is the third root of 12103 to the nearest integer? 23 What is the eighth root of 8274 to the nearest integer? 3 What is the tenth root of 702 to the nearest integer? 2 What is the tenth root of 11580 to the nearest integer? 3 What is the cube root of 13286 to the nearest integer? 24 What is 34424 to the power of 1/2, to the nearest integer? 186 What is 34367 to the power of 1/3, to the nearest integer? 33 What is the cube root of 2994 to the nearest integer? 14 What is the square root of 23277 to the nearest integer? 153 What is 20154 to the power of 1/5, to the nearest integer? 7 What is 6532 to the power of 1/5, to the nearest integer? 6 What is the square root of 2090 to the nearest integer? 46 What is 35917 to the power of 1/2, to the nearest integer? 190 What is the square root of 129 to the nearest integer? 11 What is 109991 to the power of 1/5, to the nearest integer? 10 What is 76391 to the power of 1/2, to the nearest integer? 276 What is 49077 to the power of 1/8, to the nearest integer? 4 What is the square root of 3699 to the nearest integer? 61 What is the square root of 1095 to the nearest integer? 33 What is the third root of 1312 to the nearest integer? 11 What is 4540 to the power of 1/7, to the nearest integer? 3 What is 1672 to the power of 1/5, to the nearest integer? 4 What is the cube root of 16094 to the nearest integer? 25 What is the seventh root of 4346 to the nearest integer? 3 What is 118800 to the power of 1/6, to the nearest integer? 7 What is 1081 to the power of 1/2, to the nearest integer? 33 What is 52055 to the power of 1/7, to the nearest integer? 5 What is the sixth root of 1187 to the nearest integer? 3 What is 1107 to the power of 1/2, to the nearest integer? 33 What is the square root of 21016 to the nearest integer? 145 What is 4614 to the power of 1/2, to the nearest integer? 68 What is the sixth root of 2788 to the nearest integer? 4 What is the cube root of 21681 to the nearest integer? 28 What is the third root of 14395 to the nearest integer? 24 What is the sixth root of 74497 to the nearest integer? 6 What is 117732 to the power of 1/3, to the nearest integer? 49 What is the third root of 46967 to the nearest integer? 36 What is the third root of 83445 to the nearest integer? 44 What is 252 to the power of 1/6, to the nearest integer? 3 What is 734 to the power of 1/4, to the nearest integer? 5 What is the third root of 657 to the nearest integer? 9 What is the square root of 1869 to the nearest integer? 43 What is the sixth root of 3341 to the nearest integer? 4 What is the third root of 3096 to the nearest integer? 15 What is 2330 to the power of 1/3, to the nearest integer? 13 What is the cube root of 1431 to the nearest integer? 11 What is the square root of 18874 to the nearest integer? 137 What is 6699 to the power of 1/2, to the nearest integer? 82 What is the square root of 5149 to the nearest integer? 72 What is the square root of 122985 to the nearest integer? 351 What is the sixth root of 14803 to the nearest integer? 5 What is 1308 to the power of 1/8, to the nearest integer? 2 What is the third root of 19096 to the nearest integer? 27 What is the square root of 488 to the nearest integer? 22 What is the eighth root of 3181 to the nearest integer? 3 What is the seventh root of 464 to the nearest integer? 2 What is the fifth root of 824 to the nearest integer? 4 What is 1379 to the power of 1/3, to the nearest integer? 11 What is 2910 to the power of 1/2, to the nearest integer? 54 What is the cube root of 52013 to the nearest integer? 37 What is the seventh root of 13734 to the nearest integer? 4 What is 1709 to the power of 1/2, to the nearest integer? 41 What is 19338 to the power of 1/3, to the nearest integer? 27 What is the fourth root of 1911 to the nearest integer? 7 What is the tenth root of 11500 to the nearest integer? 3 What is the fifth root of 5364 to the nearest integer? 6 What is 12109 to the power of 1/3, to the nearest integer? 23 What is 124341 to the power of 1/10, to the nearest integer? 3 What is 2471 to the power of 1/2, to the nearest integer? 50 What is the seventh root of 10771 to the nearest integer? 4 What is 8173 to the power of 1/2, to the nearest integer? 90 What is 5025 to the power of 1/8, to the nearest integer? 3 What is the third root of 20530 to the nearest integer? 27 What is the third root of 4486 to the nearest integer? 16 What is the sixth root of 57958 to the nearest integer? 6 What is 12459 to the power of 1/5, to the nearest integer? 7 What is 8005 to the power of 1/5, to the nearest integer? 6 What is the cube root of 11988 to the nearest integer? 23 What is 318 to the power of 1/10, to the nearest integer? 2 What is the tenth root of 24822 to the nearest integer? 3 What is the square root of 15660 to the nearest integer? 125 What is 16280 to the power of 1/3, to the nearest integer? 25 What is the sixth root of 11991 to the nearest integer? 5 What is the sixth root of 669 to the nearest integer? 3 What is 11053 to the power of 1/3, to the nearest integer? 22 What is the third root of 2401 to the nearest integer? 13 What is the cu
{ "pile_set_name": "DM Mathematics" }
1694. Let k(r) = r + 1. Determine -k(v) + n(v). 2*v + 9 Suppose -5*f - 12 = 3*l, -15*f + 12 = -3*l - 17*f. Let u(g) = -g**2 - g. Let t(n) = -2*n**3 + 7*n**2 + 4*n. What is l*u(y) - t(y)? 2*y**3 - 3*y**2 Let u(c) = c**3 - 183*c - 10. Let y(n) = 91*n + 4. What is 2*u(o) + 5*y(o)? 2*o**3 + 89*o Let j(c) = -2*c + 10*c + 1 + 3 - c. Let g(f) be the second derivative of -f**3 - 3*f**2/2 - 2*f. Let v = -11 - -7. Determine v*j(o) - 5*g(o). 2*o - 1 Let i = -8 - -13. Let l = i + -15. Let b be 58/l + 6/(-30). Let w(r) = -7*r**2. Let d(u) = 8*u**2. Give b*d(f) - 7*w(f). f**2 Let i(h) = -8*h**2 + 22*h + 22. Let j(y) = -y**2 + 3*y + 3. Let o = -429 + 435. Calculate o*i(u) - 44*j(u). -4*u**2 Let a(l) = -l**3 + 13*l**2 - 18*l - 29. Let i be a(11). Let u(c) = -c + 3. Let y(p) = 1. Give i*y(t) - 5*u(t). 5*t Let m(l) = -l**2 + 8*l - 2. Let w(u) = 4*u**2 - 25*u + 7. What is 21*m(t) + 6*w(t)? 3*t**2 + 18*t Let h(l) = 494*l - 22. Let z(y) = -247*y + 13. Calculate -3*h(r) - 5*z(r). -247*r + 1 Let a(r) = -491*r - 14. Let v(m) = 123*m + 3. What is 2*a(i) + 9*v(i)? 125*i - 1 Let b(o) = -7*o + 10. Let u(j) = 4*j + 1. Determine 2*b(z) - 22*u(z). -102*z - 2 Let w(z) = -3. Let k(f) = 4*f - 14. Give 3*k(d) - 15*w(d). 12*d + 3 Let q(o) = -19*o**2 + 3*o. Let a(h) = -h**2 + 19*h**2 + 81983*h - 81985*h. Calculate 3*a(b) + 2*q(b). 16*b**2 Let j(o) = -2*o**3 - 2*o**2 - 2*o - 3. Let d(i) = -i**2 - i - 1. Let m = 612 - 613. What is m*j(b) + 2*d(b)? 2*b**3 + 1 Let c = -6479 + 6481. Let b(o) = 2*o. Let j(l) be the first derivative of -9*l**2/2 - 1. Give c*j(z) + 10*b(z). 2*z Let f(k) = 3*k + 41. Let w(y) be the second derivative of -y**3/6 - 7*y**2 + 56*y. Determine -4*f(c) - 11*w(c). -c - 10 Let n(u) = 4*u - 3. Let d(y) = -3*y + 2. Let j(r) = -12*r - 16. Let f be j(-1). Calculate f*n(m) - 5*d(m). -m + 2 Let y be (-26)/(-6) - (-2)/(-6). Let g(i) = -8*i + 6. Let n(q) = q + 5*q - 1 - 3*q - 1. Let h(p) = p**2 + 11. Let k be h(0). What is k*n(c) + y*g(c)? c + 2 Let x be -3 - (4 + -17)*1. Let y(j) = -8*j**2 - 20 + 11*j + 4*j - 4*j**3 - 4*j - x*j**3. Let t(w) = 5*w**3 + 3*w**2 - 4*w + 7. Determine -8*t(d) - 3*y(d). 2*d**3 - d + 4 Let b(h) = 21*h**2 - 13*h + 13. Let k = 63 + -50. Let y(g) = -10*g**2 + 6*g - 6. Calculate k*y(m) + 6*b(m). -4*m**2 Suppose 15*r - 124 = -16*r. Let o(q) = -2*q. Let w(a) = -5*a. What is r*w(j) - 9*o(j)? -2*j Let u(g) = -2*g**3 + 3. Let l = 3 - 1. Let m(t) be the third derivative of t**6/30 - 7*t**3/6 - 29*t**2. Determine l*m(j) + 5*u(j). -2*j**3 + 1 Let x(w) = 67*w - 611. Let f(g) = -31*g + 305. What is -13*f(r) - 6*x(r)? r - 299 Let t(n) = -3*n + 2. Let s(z) = 1 + z + 2 - 7*z + z. Determine 4*s(h) - 7*t(h). h - 2 Let d(a) = 95*a**2 - 5*a. Let g(n) = 379*n**2 - 22*n. Determine -18*d(l) + 4*g(l). -194*l**2 + 2*l Let z = -7 + 11. Let g = 187 - 178. Let i(m) = 2*m. Let s(h) = -4*h - 1. What is g*i(u) + z*s(u)? 2*u - 4 Let d(l) = -18*l + 1. Let n(r) = 22*r - 2. Let c(b) = -4*d(b) - 3*n(b). Let p(z) = 2*z + 1. Calculate 6*c(u) - 17*p(u). 2*u - 5 Let a(c) = 2*c**3 - 2*c**2. Let f(m) = 7*m**3 - 9*m**2 + m. Let z(d) = 4*a(d) - f(d). Let q(k) = 16*k**3 + 12*k**2 - 10*k. What is q(b) - 12*z(b)? 4*b**3 + 2*b Let g(u) = -u. Let k(a) = 5 - 36 + a - 7*a + 30. Calculate 5*g(h) - k(h). h + 1 Let z(f) be the second derivative of f**4/6 - f**3/3 + f**2 - 94*f. Let y(h) = -6*h**2 + 7*h - 7. What is -4*y(d) - 14*z(d)? -4*d**2 Suppose 5*n + 16 = 1. Let p(h) = -4*h. Let v(j) = 27*j - 77*j + 23*j + 30*j. Determine n*v(w) - 2*p(w). -w Let g(y) = -5*y - 2. Let c(k) be the first derivative of 4*k + 3 + 12 - 4 + 3*k**2 - k. Let b be (2 - -1)/(5/(-20)*3). Determine b*c(l) - 5*g(l). l - 2 Let u(b) = -b - 1. Let a(q) be the first derivative of q**2/2 + q + 1. Suppose 0 = j + j, 3*p = 4*j + 6. What is p*a(x) + 4*u(x)? -2*x - 2 Let d(a) = -4*a**3 + 9*a - 9. Let u = -15 - -17. Let i(r) = -4*r + 2*r**3 + 2*r - r**3 + u. Give 2*d(l) + 9*i(l). l**3 Let o(j) = j**3 - j**2 - 2*j. Suppose -z - 11*g + 17 = -16*g, -3*g - 19 = -z. Let w(r) = 5*r**3 - 5*r**2 - 11*r - 1. Determine z*o(f) - 4*w(f). 2*f**3 - 2*f**2 + 4 Let k(r) = -6*r**3 + 6*r**2 - 4*r - 1. Let o(n) = 4*n**3 + n. Let d be o(-1). Let w(t) = -7*t**3 + 7*t**2 - 5*t - 1. Give d*k(x) + 4*w(x). 2*x**3 - 2*x**2 + 1 Let y(f) = f**2 - 1. Let a(s) = -18*s**2 + 3*s + 2. What is -a(j) - 2*y(j)? 16*j**2 - 3*j Let i(w) = 50690*w**3 - 1110*w**2 + 555*w + 1110. Let h(g) = 183*g**3 - 4*g**2 + 2*g + 4. Give 555*h(y) - 2*i(y). 185*y**3 Let q(x) = 3*x**3 + 2*x**2 - 4*x. Let u(p) = 13*p**3 + 9*p**2 - 15*p. Let c be 36/15 + 2/30*-6. Determine c*u(s) - 9*q(s). -s**3 + 6*s Let l(y) = 9*y**2 - 5*y + 2. Let s(a) = -7*a**2 + 6*a - 2. Give 5*l(o) + 4*s(o). 17*o**2 - o + 2 Let f(n) = n + 3. Let x be f(-4). Let q(w) = 6*w + 7. Let j(t) = t - 1 - 9 + 5 + 11 - 5. Determine x*q(c) + 5*j(c). -c - 2 Let i = 154 + -151. Let h(b) = -5*b - 4. Let a(s) = 4*s + 5. What is i*h(k) + 4*a(k)? k + 8 Let o(p) = -260944*p**2 + 13533*p. Let w(c) = -347*c**2 + 18*c. What is -6*o(f) + 4511*w(f)? 347*f**2 Let y = -19 - -48. Let z = 36 - y. Let t(v) = -12*v**2 - 7. Let b(n) = -4*n**2 - 2. Determine z*b(l) - 2*t(l). -4*l**2 Let m(f) = 2*f**3 + 7. Let x be m(0). Let v(y) = -11*y**3 - 7*y**2 + y - 7. Let g(a) = -5*a**3 - 3*a**2 - 3. What is x*g(q) - 3*v(q)? -2*q**3 - 3*q Let x(p) = 7*p**2 + 4*p - 8. Let a be (14 + -8 - 8)/(4/10). Let t(z) = -4*z**2 - 2*z + 4. What is a*t(j) - 3*x(j)? -j**2 - 2*j + 4 Let n(q) = -6*q**3 + 4*q**2 - 4*q. Let k(r) = -r**3 + 6*r**2 + r + 1. Let v be k(6). Let f(i) = -12*i**3 + 7*i**2 - 7*i. Calculate v*n(z) - 4*f(z). 6*z**3 Let w = -1320 - -1319. Let v(k) = 3*k**3 + 2*k**2 + 2*k. Let x(t) = -t**3 - t. Calculate w*x(h) - v(h). -2*h**3 - 2*h**2 - h Let t(g) = 15*g + 9. Let m = 72 + -61. Let o(h) = -8*h - 5. Determine m*o(n) + 6*t(n). 2*n - 1 Let a = 67 + -41. Let l(y) = -21*y**3 + a*y**3 - 3 + 3. Let u(f) = -4*f**3. Give -3*l(x) - 4*u(x). x**3 Let l(n) be the third derivative of 7*n**4/12 - n**3/6 + n**2 + 96*n. Let x(m) = m - 1. Give l(f) - x(f). 13*f Let g(y) = -2*y**2 + 1. Let h(r) = 57*r - 57*r + r**2. Let o(i) = -i**2 + 17*i - 41. Let l be o(14). What is l*g(q) + 4*h(q)? 2*q**2 + 1 Let k(v) = 5*v**2 + v - 3. Let g(w) = -6*w**2 - 2*w + 4. Suppose -16*l - 210 = -10*l. Let j = 39 + l. Give j*k(d) + 3*g(d). 2*d**2 - 2*d Let n(m) = 13*m - 4. Let h be n(-4). Let a be (-184)/h - 4/14. Let v(f) = 5*f - a*f - 10 + 10. Let y(c) = 9*c. What is -26*v(r) + 6*y(r)? 2*r Let h(p) be the third derivative of 0 - 1/30*p**6 + 1/4*p**4 + 0*p + 0*p**5 + p**2 + p**3. Let a(v) = v**3 - v - 1. What is 6*a(w) + h(w)? 2*w**3 Let l(r) = -31*r**2 - 694*r + 9. Let a(n) = 18*n**2 + 346*n - 5. Calculate 7*a(w) + 4*l(w). 2*w**2 - 354*w + 1 Let x(p) = -5*p - 9. Let u(r) = -22*r - 37. Calculate 6*u(z) - 26*x(z). -2*z + 12 Let z(h) = -2*h**2 - 1. Let f(b) = 2*b**2. Let s be 44/66 - (-16)/3. Give s*f(l) + 5*z(l). 2*l**2 - 5 Let q(t) = -30*t - 7. Let j be 2 - (15 + 6/(-1)). Let h(i) = 20*i + 5. Calculate j*h(b) - 5*q(b). 10*b Suppose 3 = -2*d - 3. Let f(y) = y**2 - y + 3. Suppose 0 = -4*t + 16 - 36. Let o(k) = -k - 5 + 0*k**2 + k - 2*k**2 + k. Give d*o(v) + t*f(v). v**2 + 2*v Let j(w) = -w**2 - 1. Let m(r) = 35*r**2 + 3*r + 3. What is -5*j(q) - m(q)? -30*q**2 - 3*q + 2 Let y(d) = -48*d**2 - 25*d + 27. Let p(f) = -72*f**2 - 38*f + 43. Determine 5*p(h) - 8*y(h). 24*h**2 + 10*h - 1 Let p(w) = -7*w**3 + w**2 - 3*w + 26. Let y(s) = 9*s**3 - s**2 + 3*s - 32. Calculate 5*p(h) + 4*y(h). h**3 + h**2 - 3*h + 2 Let d = -1005 - -1002. Let p(q) = 2*q + 8. Let i(h) = -1. Let y(b) = -6*i(b) - p(b). Let k(l) = -2*l - 1. Determine d*y(g) + 4*k(g). -2*g + 2 Let d(x) = -8*x**3 - 3*x - 3. Let s(q) = -25*q - 118. Let w be s(-6). Let m(n) = -88*n**3 - 32*n - 32. Give w*d(v) - 3*m(v). 8*v**3 Let n(o) = o - 1. Let x(c) = 13*c - 7*c + 6*c + 14 - 25 - 5*c**2. Calculate 22*n(m) - 2*x(m). 10*m**2 - 2*m Let l(m) = 2*m**3 - 8*m - 4. Let q = -358 - -362. Let t(j) = -2*j**3 + 9*j + 5. Give q*t(r) + 5*l(r). 2*r**3 - 4*r Let m = 2 - 5. Let j(n) be the second derivative of -5*n**4/12 + n**3/2 - 3*n**2/2 + 12*n. Let u(v) = 3*v**2 - 16*v + 9 + 23*v**2 + 7. What is m*u(l) - 16*j(l)? 2*l**2 Let w(k) = 2*k**2 - k - 13. Let q(l) = l**2 - 2*l - 11. Calculate -5*q(p) + 4*w(p). 3*p**2 + 6*p + 3 Suppose 2*s - 41*v = -39*v, 4*s = 2*v + 8. Let
{ "pile_set_name": "DM Mathematics" }
+ 0*g). 204*g Expand (1 - o + 2 - 6)*(-5*o**2 + 8*o + 27*o**2 - 9*o). -22*o**3 - 65*o**2 + 3*o Expand (-4 + 7 - 12)*(65 - 65 - 28*s). 252*s Expand (-7*n**2 - 2*n**2 + 3*n**2)*(5 + 5 + 22*n**2 - 12). -132*n**4 + 12*n**2 Expand (-537*a + 171*a - 619*a - 138*a)*(2*a**4 + 0*a**4 + 0*a**4). -2246*a**5 Expand (-702*p**2 - 155678*p + 155678*p)*(-p**3 - p - 7*p + 4*p). 702*p**5 + 2808*p**3 Expand (2*x**2 - 2*x**2 - x**4)*(2 - 1 - 2) + 88*x**4 - 1425*x + 1425*x. 89*x**4 Expand 7 - s**5 + 4 + 4 + 3 + 0*s**5 - 9 + 2*s**5 + (-4*s**2 - s**2 + 3*s**2)*(-2*s**3 - s + s) + s**5 + 0*s**4 + 0*s**4. 6*s**5 + 9 Expand 365*l - 18*l**5 - 365*l + (l**2 - l**2 + l**2)*(3*l**3 + l**2 - l**2) - 4*l**5 + l**5 + 0*l**5. -18*l**5 Expand -f + f + 2*f**5 + 3*f**5 - f**5 + f**5 + (-2*f - 3*f + 4*f)*(3*f**4 + f**4 - 3*f**4) + 6*f**5 - 3*f**5 - 2*f**5. 5*f**5 Expand ((2 - 5 + 4)*(1 - 3 + 0) - 4 + 8 - 3 + (3 - 2 - 2)*(-3 + 0 + 1) + (-2 + 0 + 0)*(-4 + 0 + 3))*(2*w + 1 - 1). 6*w Expand (-64*l + 22*l - 110*l)*(l**2 + 2*l**2 - 2*l + 2*l). -456*l**3 Expand (0*x**3 - 4*x**3 + 0*x**3)*(-3*x + 3*x - 20*x). 80*x**4 Expand (i + 9*i + 13*i)*(3*i - 8*i + 3*i) + 2*i - 2*i**2 - 2*i. -48*i**2 Expand (1 + 0 + 1)*(4*g**2 - g**2 - 2*g**2) + (-1 - 3*g**2 + 1)*(-15 - 6 + 27). -16*g**2 Expand (-58*d + 58*d + 7*d**2 + (-3*d - 4*d + 5*d)*(3*d - 2*d + 0*d))*(-4*d**2 - 2*d**3 + 4*d**2). -10*d**5 Expand (186 - 186 - 125*l - 54*l)*(-5*l**4 + 0*l**3 + 0*l**3). 895*l**5 Expand (-1 - 1 + 3)*(-2*c - 1 + 1) + ((-2 + 2 + 1)*(-5 + 3 + 19) - 3 - 1 + 2)*(-2*c + 7*c - 3*c). 28*c Expand -a + 0*a - a + (2*a - 3 + 3)*(-3 + 1 + 3 + (0 + 2 - 3)*(0 - 3 + 1) + 6 + 1 - 2). 14*a Expand 323 + 26*d - 323 - 2*d + 5*d + 3*d + (1 - 2*d - 1)*(-2 + 5 - 2). 30*d Expand (4 - 4 + 2)*(3*x**3 - 3*x**3 + x**3) - 7*x**3 + 154*x**3 + 13*x**3. 162*x**3 Expand j**2 - 3*j**2 + j**2 + (3*j - 2*j - 3*j)*(3*j - 4*j - 2*j) + (-j - 9*j + 2*j)*(2*j - 3*j + 3*j). -11*j**2 Expand -13*v**5 + 38*v**5 + 20*v**5 + (-3*v**2 + 3*v**2 - 2*v**4)*(3*v - 3*v - 2*v). 49*v**5 Expand (-2*p + 2*p + p**2)*(0 + 0 + 2*p**3) - p**5 - p**5 + p**5 + 0*p**5 + p**5 + p**5 + (-26*p**3 + 26*p**3 - 30*p**4)*(4 + p - 4). -27*p**5 Expand 96 + 4*h - h - 103 + (4 - 3 + 2)*(h + 5*h - 5*h) + (-h + 0*h - h)*(-2 + 3 - 3). 10*h - 7 Expand (2*s**2 + 2*s**2 - 5*s**2)*(1 - s - 1) + 5*s + 13*s**3 - 5*s. 14*s**3 Expand (-29661 + c**3 + 2*c**4 - 3*c + 29658 + 11*c)*(-2 + 0 + 0). -4*c**4 - 2*c**3 - 16*c + 6 Expand (0*a + 0*a - a)*(2 - a - 2)*(-5 - 4 + 3)*(0*a**2 + 7*a**2 - 3*a**2). -24*a**4 Expand (3 + f - 3)*(0*f + 0*f - f**2)*(106*f**2 - 35 + f - 80*f**2 + 31). -26*f**5 - f**4 + 4*f**3 Expand (-5*j**3 + 2*j**3 + 4*j**3)*(-4*j + 2*j + 3*j) + j**4 + 0*j**3 + 0*j**3 + (4*j**3 + 4*j**2 - 4*j**2)*(-20*j + 21*j + 28*j). 118*j**4 Expand -6*u**2 + 9*u**2 + 49*u**2 + (3*u + 2*u - 2*u)*(-u + u + u) + 3*u**2 - 5*u**2 + 3*u**2 + 4*u**2 + 3*u**2 - 6*u**2. 57*u**2 Expand (16*k - 6*k - 2*k)*(2*k + 0*k + 7*k). 72*k**2 Expand (-1 + l + 1)*(186*l**2 - 538*l**2 + 46 - 44). -352*l**3 + 2*l Expand 25*u**2 - 82*u**2 - 38*u**2 - 2*u**2 - 2*u**2 + 3*u**2 + (2*u + u - u)*(0*u + 0*u - 2*u) + 4*u**2 - 4*u**2 - u**2 + 2*u**2 + 3*u**2 - 7*u**2. -103*u**2 Expand (2*k**3 - 8*k**2 - 2*k**2 + k**2)*(-43 - 6*k + 43). -12*k**4 + 54*k**3 Expand 0*c**3 + 3*c**3 + 2*c**3 + (1 - c - 1)*(2*c**2 - 1 + 1) - 6*c**3 + 58*c**2 - 58*c**2. -3*c**3 Expand (-3*u + 3*u - u)*(2 - 1 - 3) - 3*u + u + 0*u + 0*u + 3*u - 5*u + (4*u - u - 5*u)*(6 - 2 - 3). -4*u Expand (-16 - 4 + 3)*((0 + 0 + 1)*(2*y**3 - 2*y**3 + 3*y**5) - y**5 + 0*y**5 + 0*y**5 + (2*y**3 - y**3 + y**3)*(4*y**2 + 0*y**2 - 2*y**2)). -102*y**5 Expand 8*f - 12*f + 9*f + 1 - 1 - 3*f + 2*f - 1 + 1 + 2 - f - 2 - f + 0*f + 3*f + (0*f + 4*f - 3*f)*(1 - 3 + 1) + 0 + 0 + f - 2 + f + 2. 6*f Expand (10 - 92 + 15*j - 13*j)*(0*j**3 - j**3 + 2*j**3). 2*j**4 - 82*j**3 Expand (-2*v**3 + v**3 + 2*v**3)*(2*v + v - 5*v) + (1 + 3*v**3 - 1)*(0*v - 2*v + 0*v) - 30 - 31*v**4 + 30. -39*v**4 Expand (17 + 7*b - 11 - 11)*(5 + 0 - 3). 14*b - 10 Expand (277*g - 32*g**2 + 3 - 277*g)*(-2*g**2 - 1 + 1) + (g**2 - g**2 + 2*g**2)*(-g**2 + 2*g**2 - 2*g**2) + g**4 + 0*g**3 + 0*g**3 - g**4 + 0*g**4 + 3*g**4. 65*g**4 - 6*g**2 Expand -u + u**4 + u + (-58*u**2 + 2276 - 2276)*(6*u**2 - 4*u + 4*u). -347*u**4 Expand 147*l**3 - 23 + l**2 + 23 + (0*l - l**2 + 0*l)*(-2*l + 2*l + 2*l). 145*l**3 + l**2 Expand (0 + 0 + 2)*(p - 5*p + 3*p)*(-806*p + 1612*p - 794*p + 1). -24*p**2 - 2*p Expand 55*h**2 + 203*h - 203*h + (-3 + 3 + 1)*(-5 + h**2 + 5) + 0 - h**2 + 0. 55*h**2 Expand (49 - 55 + 43)*(1 - 6 - 5)*(0*l + l + l). -740*l Expand (3 - 1 - 1)*(-3 + 2 - 1)*(-17*s + 140*s + 30*s) - s - s + 4*s. -304*s Expand 18*g**2 - 5*g**2 + 9*g**2 + (1 + 1 - 4)*(-2*g**2 + 0*g + 0*g) + (-3*g**2 - 3*g**2 + 3*g + 7*g**2)*(-3 + 2 - 1). 24*g**2 - 6*g Expand (-3 + 3 + 5*p**2)*(31 + 29 - 6). 270*p**2 Expand -26 + 39*u - 85*u + 44*u + 5*u - 2*u - u + 3*u - 2*u - 3*u + (-u - u + 0*u)*(-1 - 2 + 4) + 2 - u - 2 - 2*u - 5*u + 3*u. -9*u - 26 Expand (-2 + 4 + 0)*(-3179*n + 3179*n - 231*n**2). -462*n**2 Expand (-5*r + r**2 + 5*r)*(18*r**3 + 11*r**2 - 11*r**2 - 6*r + 5*r**3 + 6*r + (2*r**2 + 0*r**2 + 0*r**2)*(r - 3*r + 4*r)). 27*r**5 Expand (-2*v**3 + 0*v**3 + 4*v**3)*(-2*v**2 - 3*v**2 + 7*v**2 - v + v**2 + v + (2*v - v - 2*v)*(2*v - 2*v - 2*v)) - 5*v**5 - 84*v**3 + 84*v**3 + 6*v**2. 5*v**5 + 6*v**2 Expand (-l + 0*l + 0*l)*(4 - 2 - 1)*(76*l - 789*l**2 - 45*l - 31*l). 789*l**3 Expand (-7 - 3*o**3 + 2 + 11)*(-1 - 3*o + o**2 + 3*o). -3*o**5 + 3*o**3 + 6*o**2 - 6 Expand (24 + 12*a - 24)*(3 + 3 - 1). 60*a Expand (3*h - 4*h + 3*h)*(-1 + 0 + 0) - 3*h - 2*h + 3*h + 0*h + 0*h - 2*h + (2 + 0 + 0)*(0*h + 0*h + 2*h) + (3 + h - 3)*(1 - 4 + 1). -4*h Expand (r - 2*r + 0*r)*(-2 + 1 + 2)*(84 - 70*r - 84). 70*r**2 Expand (33*m - 315 + 315 - 1453*m)*(3 - 5 + 0 - m). 1420*m**2 + 2840*m Expand ((w**3 + 3 - 3)*(2*w - 5*w + w) - 4*w**2 + 4*w**2 - 3*w**4 - w - 2*w**4 + w + 13*w**4 - w**4 - w**4)*(2 + 2 - 3). 4*w**4 Expand t**2 + t**2 - t**2 + (0 + 2 - 3)*(13*t - 6*t + 7*t)*(3*t - 2*t + 4*t + (0 + 0 - 3*t)*(3 - 3 + 2)). 15*t**2 Expand (-1 - c + 1)*(-2 + 2*c + 2)*(376*c + 911*c**3 - 376*c). -1822*c**5 Expand (526*x + 170*x - 150*x)*(-4*x + x + 2*x) + (3 - 2 + 0)*(6*x**2 - 2*x**2 - 3*x**2). -545*x**2 Expand -2 - 3*m**4 - m**5 - m**4 + 3*m**4 + (3*m - m - 4*m)*(-4*m**4 - 13*m**4 + 2*m**4) + m**5 - 4*m**5 + 4*m**5. 30*m**5 - m**4 - 2 Expand (109*q + 46*q - 32*q)*(q - 4*q + q). -246*q**2 Expand (-26*x - 81 + 25*x - 54)*(2*x + 0*x - x). -x**2 - 135*x Expand (-122*p**4 + 32*p**4 + 20*p**4)*(3*p - 3*p + 2*p). -140*p**5 Expand (481*w - 1139*w + 426*w)*(-2 - 1 + 1). 464*w Expand (4 - 5 + 8)*(-6*b + 4 + 2*b - b + b**5). 7*b**5 - 35*b + 28 Expand (6*o + 17*o + 39*o)*(-1 - 2 + 1). -124*o Expand (-3 - 24 - 17)*(0*p**3 - 5*p**3 + p**3). 176*p**3 Expand (-72 - 4*o + 74 + 79*o)*(4 - 2 - 1). 75*o + 2 Expand (-10*n + 0*n + 3*n)*(0*n - n - n) - 4 + 2*n**2 + 4 + (-3*n + n + 3*n)*(4*n - 4*n + 2*n) + n**2 - 2*n**2 + 2*n**2 - 2*n + 2*n - n**2. 18*n**2 Expand (-145*m - 4 + 79*m + 77*m)*(0 + 0 + m**2 + (m + 2 - 2)*(m + m + 0*m) + m**2 - 3*m**2 + 4*m**2). 55*m**3 - 20*m**2 Expand (-v + v + v**3)*(-1 - 3 + 1)*(-1 + 0 - 2*v + 0*v) + (86 - 81*v - 86)*(2*v - 2*v - 3*v**3). 249*v**4 + 3*v**3 Expand -6*i**3 - 4*i + 4*i + (4 + 2*i**3 - 4)*(1 + 0 + 1) + 87*i**3 - 13*i**3 + 5*i**3. 77*i**3 Expand (0*u - 4*u + 5*u)*(-3 + 3 - 2*u**3) + (-2*u**2 + 3 - 3)*(2 + 4*u - 2)*(u + 2 - 2). -10*u**4 Expand (116 - 53 - 94)*(-11*q - 10*q + 15*q). 186*q Expand (-1 + 3 + 0)*(55*i**2 - 14*i**2 + 19*i**2) + (2*i + 2 - 2)*(-1 + 1 + i). 122*i**2 Expand (-a - 4*a + 4*a)*(-45 - 17*a**4 + 13*a**4 - 42). 4*a**5 + 87*a Expand (7 - 7 - 8*v)*(2 + 0 + 0 + 4*v**3). -32*v**4 - 16*v Expand -9*p**3 + 3*p**3 + 14*p**3 + (0 + 0 + 2*p)*(10*p**2 - 4*p + 2*p + 0*p**2 + 3*p**2 - 5*p**2 + 4*p**2 + (4 - 5 + 0)*(3*p - 3*p - p**2)). 34*p**3 - 4*p**2 Expand 42*c**2 - 42*c**2 + 100*c**4 + (-5 + 5 + c)*(-4*c**3 + 2*c**3 + 3*c**3) - 4*c**4 - c**4 + 3*c**4. 99*c**4 Expand (-2 + 5 - 4)*(5 + 0 + 15)*(2*z**3 + 7*z**2 - 7*z**2). -40*z**3 Expand (6*z**2 - 5*z**2 + 0*z**2)*(-4 + 2 + 0) - 23*z**2 + 5 - 5 + 5 - 5 - z**2. -26*z**2 Expand ((2*t + 2*t - 6*t)*(0 + 2 + 0) + 0*t + t + t)*(-1962 + 1962 - 215*t + 3*t + 5*t - 5*t + (1 + 0 - 3)*(2 + t - 2)). 428*t**2 Expand (-20
{ "pile_set_name": "DM Mathematics" }
nd 12. 12 Let m = -6 + 48. Calculate the greatest common factor of m and 28. 14 Let k be 0 - -110 - (13 + -11). Let r(j) = j**3 + 31*j**2 - 67*j - 21. Let o be r(-33). What is the highest common factor of k and o? 12 Suppose -3*a = -4*r - 6*a + 437, -r + 5*a + 115 = 0. What is the greatest common factor of 154 and r? 22 Let c = 68 - -97. What is the greatest common divisor of c and 30? 15 Suppose -17 = -y + 4*k + 8, -5*y = k - 20. Suppose y*h - 23 = 52. Calculate the greatest common factor of 15 and h. 15 Let c(u) = u + 22. Let g be c(0). Let q = g + -22. Suppose 2*z + 5*j - 6 = 69, q = 3*j - 9. What is the greatest common factor of 45 and z? 15 Let k(a) = -a**2 - 18*a - 68. Let g be k(-11). Calculate the highest common factor of 117 and g. 9 Let x = 156 - -174. Calculate the greatest common divisor of x and 33. 33 Suppose -2*h - 6*h = 256. Let r = 46 + h. Calculate the highest common divisor of 112 and r. 14 Suppose -16*i - 45*i = -366. Calculate the greatest common divisor of i and 411. 3 Let h(r) = -r**2 + 2*r + 20. Let g be h(5). Suppose 0 = 2*v - q - 843, -5*q + 4*q + 2097 = g*v. Calculate the highest common divisor of v and 60. 60 Let d(m) = m**2 + 44*m - 68. Let w be d(-46). What is the greatest common factor of 120 and w? 24 Suppose 2*x - 62 = -2*a, -105 = -0*a - 3*a + x. Suppose -a = d - 94. Suppose -p - 60 = -5*p. What is the highest common factor of d and p? 15 Suppose 55*y - 57*y = -56. Suppose -3*v + 30 = -12. What is the greatest common divisor of y and v? 14 Suppose 4*q - 888 + 316 = 0. Let d(v) = -2*v - 3. Let y = -3 - 5. Let m be d(y). What is the greatest common divisor of m and q? 13 Let q be 60/(-2 - 15/(-5)). What is the greatest common factor of 90 and q? 30 Suppose x - 2*g = 46, 15*x - 4*g = 10*x + 212. What is the highest common divisor of 64 and x? 8 Let k = 92 + -48. Let v(t) = -7*t**2 - t - 2. Let c be v(2). Let m = 36 + c. What is the highest common divisor of k and m? 4 Suppose -40 = 2*d - 162. Let h = d + -53. What is the highest common divisor of h and 44? 4 Let j = 3538 - 2618. What is the greatest common divisor of j and 60? 20 Let p be (1120/21 + -4)*3. Calculate the greatest common divisor of 37 and p. 37 Let m = 2 - 15. Let p = m - -156. What is the highest common divisor of 22 and p? 11 Suppose 0 = 5*v + 4*j - 478 - 350, -2*j = -2*v + 324. Calculate the greatest common factor of v and 123. 41 Suppose -10*d + 147 = -7*d. Let z(a) = a + 2. Let i be z(5). What is the greatest common factor of i and d? 7 Suppose 2*s = 4*s - 10. Suppose -3*r + s = -4. Suppose 19 = 4*d + r*o, 0 = -2*o + 7*o - 25. What is the highest common divisor of d and 4? 1 Let q(y) = 3*y**3 + y**2 + 22*y + 45. Let x be q(0). Suppose 1 = z - 3, 4*b - 2*z = 12. What is the highest common factor of b and x? 5 Let t be 3*-42*(6 + 66/(-7)). What is the highest common factor of t and 80? 16 Let h = 11 + -191. Let c = -54 - h. Let v = 163 - 149. What is the highest common factor of v and c? 14 Suppose -260*v = -255*v + 4*k - 371, 5*v - 373 = -2*k. What is the greatest common factor of v and 275? 25 Let f = -48 - -91. Calculate the highest common factor of f and 473. 43 Suppose -2*k - 4 = 0, 4*k + 0*k + 4 = 4*o. Let h be 201/6 - 1/(-2)*o. What is the highest common factor of 3 and h? 3 Suppose -3007 = -4*c - 3*a - 922, -c - 5*a + 500 = 0. Suppose -4*k = 3*k - c. What is the highest common factor of 30 and k? 15 Let l = 39 + -18. Let n be (3/3)/(3/l). Suppose 3*d = 2*d + 14. What is the highest common factor of d and n? 7 Suppose 7*j = 2*j - 40. Let k(l) = -2*l - 1. Let n be k(j). Suppose 16*v = 17*v - 6. Calculate the greatest common divisor of n and v. 3 Let l(g) = -19*g - 10. Let p be l(-4). Suppose u = 5*v - p, -5*u = -4*v + v + 396. Let q be ((-3)/(-9))/((-1)/u). What is the highest common divisor of q and 9? 9 Suppose 0 = -27*d + 1328 + 2020. Calculate the highest common factor of d and 31. 31 Let o be (7 - 63784/(-147)) + (-10)/(-105). Calculate the greatest common divisor of o and 126. 63 Suppose 0 = -5*f + 40 - 15. Suppose 0 = f*w + c - 96, -35 = -w - c - 15. What is the greatest common divisor of 152 and w? 19 Let p(m) = -91*m - 7. Let l be p(-1). Calculate the highest common factor of 24 and l. 12 Suppose 10 = 5*t - 5. Suppose -3 + 15 = t*x. What is the highest common factor of 2 and x? 2 Let b(p) = -14*p - 78. Let j be b(-8). Calculate the greatest common divisor of j and 68. 34 Suppose 2*y - 40 = -6*y. Suppose k + 2*c = 15, y*c = -5*k + 8*c + 62. Calculate the greatest common divisor of 104 and k. 13 Let p(w) = 4*w**2 + 26 - 23*w + 10*w - 1 - 3*w**2. Let r be p(17). Suppose 67 - 5 = i. What is the greatest common divisor of r and i? 31 Let q = -22 + 16. Let u = q - -14. What is the highest common divisor of 8 and u? 8 Suppose -7*f = -4*f + 162. Let k be -50*(279/f + (-2)/(-3)). What is the highest common factor of k and 25? 25 Let g = 131 + -101. Calculate the highest common divisor of g and 80. 10 Suppose -5*n - f = -241, 2 - 49 = -n + f. What is the highest common factor of n and 204? 12 Let b be (-5)/((-5)/(-3))*(-249)/(-9). Let z = b - -155. What is the highest common divisor of 9 and z? 9 Let j(y) = -6*y + 48. Let m be j(8). Suppose 0 = 2*g - 10, 4*v - 5*g - 27 + m = 0. Calculate the greatest common factor of 169 and v. 13 Let z(n) = -2 + 2 - 5 + 52*n + 0. Let t be z(2). Calculate the highest common divisor of t and 9. 9 Let x be 39 - (-45)/(-10)*2. Calculate the greatest common divisor of x and 66. 6 Let j be 5/(-2 + 4 + -1). Suppose -70 - 140 = -j*p. What is the greatest common divisor of 14 and p? 14 Let y be 186/217*28/3. Suppose 5*i - 149 = 11. What is the greatest common divisor of i and y? 8 Suppose 0 = -10*w - 25*w + 6580. Calculate the highest common divisor of w and 4. 4 Suppose -t = 5*g - 5*t - 30, 5*g + 5*t + 15 = 0. Suppose -j = 3*y - 2*y - 5, -4*j = -5*y - 20. What is the highest common divisor of j and g? 1 Let n(p) = 20*p + 4. Let i(g) = -39*g - 8. Let x(l) = -6*i(l) - 11*n(l). Let f be x(2). Calculate the highest common factor of f and 8. 8 Let m be (-15)/(-75) - (-68)/10. Suppose m = -5*f - 8. Let u = f + 25. Calculate the greatest common divisor of 154 and u. 22 Let s = -46 - -52. Suppose -44 = s*f - 200. Calculate the greatest common factor of f and 234. 26 Let d(k) = 7*k - 45. Let j be d(12). Let i be (-623)/(-4) + (-2)/(-8). Calculate the greatest common factor of j and i. 39 Suppose 26 - 73 = -4*l - o, 3*o = -3. Let h = 0 + 2. Suppose -b + h*b = 18. What is the highest common divisor of b and l? 6 Let x(c) = -c**2 + 4*c - 4. Let l be x(3). Let b = -1 - l. Suppose 5*h + b*u = u + 58, h = -3*u + 2. What is the greatest common divisor of 1 and h? 1 Suppose 5*g = l + 3078, -l + 618 = 2*g - g. Calculate the greatest common divisor of 77 and g. 77 Let m be 1 - (-2 - -2) - -2. Let f = m + 7. Suppose 3*h - 122 = 11*v - 12*v, 2*h = 4*v - 432. What is the highest common divisor of f and v? 10 Let t(d) = 3*d**2 + 1. Let u be t(-2). Let z be (-27)/6*3/(-18)*4. Suppose 0 = 2*q + z*q - 325. Calculate the greatest common divisor of q and u. 13 Suppose 0 = 13*v + 26*v - 7800. Calculate the highest common divisor of v and 125. 25 Let h be 176 - (-7 + 4 - 3). Calculate the highest common divisor of 312 and h. 26 Let a(g) = 9*g - 27. Let u be a(3). Suppose 4*l = -l - j + 199, u = j + 1. Calculate the greatest common factor of 16 and l. 8 Suppose -5*a + 8*m + 19203 = 6*m, -19211 = -5*a + 4*m. What is the highest common divisor of a and 11? 11 Let s(b) = 4*b**2 - 4*b + 2. Let l be s(3). Suppose 0*g + 624 = 12*g. Calculate the greatest common factor of g and l. 26 Suppose -2*r = -3*c - 39, 5*r + 10*c = 13*c + 75. Let n = 47 + -17. Calculate the highest common factor of n and r. 6 Suppose -2*h = -5*o + 362 + 419, -5*h = 5*o + 1970. Let f = 694 + h. Calculate the highest common factor of 43 and f. 43 Suppose 4*v - 3*v - 4 = 2*q, 4*v - 4*q - 24 = 0. What is the greatest common divisor of v and 120? 8 Let p(o) = 2*o**2 + 11*o - 3. Let z be p(-5). Let j(w) = -14*w - 21. Let m be j(z). Calculate the greatest common factor of 13 and m. 13 Let o be (-4)/22 - (-24052)/154. Suppose 2*w = 3*v - 156, w - o = 2*v - 5*v. What is the greatest common divisor of 26 and v? 26 Suppose -4*h + 5*m = -544, 22*h = 24*h - 4*m - 266. What is the highe
{ "pile_set_name": "DM Mathematics" }
84 Suppose -3 = v, -5*d - 5*v + 1 - 646 = 0. Let p = d + 206. Suppose p = l + 3*l. What is the lowest common multiple of 2 and l? 20 Let c = -379369/45 - -8429. Calculate the common denominator of -113/180 and c. 180 Let h = -7634 + 76459/10. Suppose 0*u + 100 = 5*u. Find the common denominator of h and 0 + 2/(u/111). 10 Let b = 91 - 21. Calculate the least common multiple of b and 4. 140 Let i(r) = -51*r - 33. Calculate the smallest common multiple of i(-1) and 446. 4014 Suppose -y + 6 = w - 17, -3*y = -9. What is the smallest common multiple of 122 and w? 1220 Let m be (-4)/6 + (-20)/(-3). Let s(w) = w**2 + 15*w - 6. Let h be s(-16). Let g = h - m. What is the smallest common multiple of 6 and g? 12 Calculate the common denominator of 30/(-75)*410/(-64) and 63/2. 16 Let j = 25/12357 - 20626108/1124487. Let t = j + 2/273. Let k = -289/30 - t. What is the common denominator of k and 133/6? 30 Suppose b = -r + 15, 0 = 4*r - 6*b + 5*b - 40. Let u be ((-104)/10)/(r/55). What is the lowest common multiple of u/(-6) + 2/6 and 23? 207 Suppose 4*x = a - 2*a + 165, -225 = -5*x + 5*a. Suppose -3*z - 8*s + x = -5*s, -5*z + 74 = 4*s. Calculate the lowest common multiple of 14 and z. 126 What is the common denominator of -113/80 and (-35)/231*((-6)/4)/1? 880 Let f = -2/287625 + -14285243/18983250. Calculate the common denominator of 47/242 and f. 2178 Let s = -451/2 - -635/3. Find the common denominator of 80/(-448)*7/((-70)/212) and s. 42 Suppose -5*b - 1 - 24 = 0. Find the common denominator of (-8 - (-2301)/120) + (-1)/b and 2/4 - (-30)/(-16). 8 Let u = -137/300 + 1/150. What is the common denominator of u and 67/392? 1960 Suppose a + 0*a + 3 = 0. Find the common denominator of 3*(0 - (-10 + a)) and 4 - ((-75)/(-4) - (-4)/(-1)). 4 Find the common denominator of 69/483 + 1 + (-109)/(-315) and -18/65. 585 What is the common denominator of (-426)/16*60/45 and -22/27? 54 What is the lowest common multiple of 1461/27 - (-5 + 6)/9 and 9? 54 Let d be (108/(-126))/(1/231). Calculate the smallest common multiple of (d/15)/(4/(-10)) and 12. 132 Let o(m) = -26*m**3. Let n be o(-1). Let v be (n/(-65))/((-2)/120). Let a = 27 - v. Calculate the smallest common multiple of 12 and a. 12 Let t(o) = 2*o**2 + 7*o + 6. Calculate the smallest common multiple of 11 and t(4). 66 Suppose b = p - 1465, -4*b = p + 4227 + 1608. Let l = b + 4453/3. Find the common denominator of 59/3 and l. 3 Suppose 52*g - 45*g - 14 = 0. Suppose 18 + 12 = v. Calculate the smallest common multiple of g and v. 30 Suppose 0 = -2*u + 3*u - 2. Let v be 395/u*(-513)/(-75). Let c = v - 1357. What is the common denominator of c and 42/5? 10 Let c = -23771/24 + 992. Let j = c - 13/6. Find the common denominator of j and (-3965)/(-728) + 3/7. 8 Suppose 2*d - 4*d = -182. Calculate the common denominator of d/12 - (-5)/20 and 157/6 + 4/(-2). 6 Suppose -3*n = 9 - 15. Suppose 4 = s - n. What is the least common multiple of 7 and s? 42 Let t(f) = 18*f + 3. Let h be t(-2). Let b = h - -51. Let d(w) = -4*w - 54. What is the least common multiple of d(-14) and b? 18 Let d = -248 - -146. Calculate the common denominator of d/108 + (-1)/2 and -55/2. 18 Let d be (40/(-12) + 2)*-18. Find the common denominator of 11/33 - (-46)/d and 24/7. 28 Suppose -11 - 31 = 3*l + d, 2*d - 46 = 4*l. Let r = -11 - l. Suppose 2*p + 3*g - 43 = 4*g, -67 = -3*p - g. Calculate the smallest common multiple of p and r. 22 Let v(w) = 7*w - 7. Let q = -6 + 11. Suppose 0 = p - x - 5, -2*x = -p - 0*x + q. What is the common denominator of v(p) and -31/3? 3 Let r = 6 + -4. Suppose 0 = -8*l + l + 14. Suppose -3*a = 4*w - 38, -5*a - 18 = -3*w - l*a. Calculate the least common multiple of w and r. 8 Let r = 39481/21 + -1876. Calculate the common denominator of r and 47/171. 1197 Calculate the smallest common multiple of 4 and 45 + 3 - (-24 - -20). 52 Let w(d) = d + 1. Let u be w(2). Suppose -u*k = -k. Suppose k - 12 = -q. What is the smallest common multiple of q and 12? 12 Suppose -38*j - 324 = -400. Let u = -16 - -24. Calculate the smallest common multiple of u and j. 8 Let s(z) = z**3 + 9*z**2 + 8*z - 9. Let g be s(-8). Calculate the smallest common multiple of (-4)/(-3) + (-33)/g and 7. 35 Let h = -2433/229 - -100847/50380. Let f = h + -1/440. Calculate the common denominator of 55/8 and f. 8 Suppose 5*l - 25 = -5*p, -23 = -3*l + 3*p - 2. Let h(x) = x**3 + x**2 - 1. What is the lowest common multiple of l and h(1)? 6 Suppose 5*i = 2*i + 15. Suppose 2*s + 2 = -4. Let o = s + i. Calculate the least common multiple of o and 2. 2 Let b = -1801121/88 - -20467. Calculate the common denominator of b and 91/110. 440 Let h = 6353 - 95224/15. Let c = h - 9/10. What is the common denominator of 83/14 and c? 42 Let j be 435533643/(-246)*(-1)/(-123). Let k = j - -14394. Let a = 72279/13448 + k. Calculate the common denominator of -17/7 and a. 56 Find the common denominator of 335/(-10)*9/432 and -101/32. 96 Let k = -17 + 29. Let g be (0 + -1)*1 + 3. Suppose -i + g*f = 0, 3*i + 2*i - 5*f = 20. What is the least common multiple of i and k? 24 Let p be (2/4)/(4/(-20928)). Let d be p/(-14) + 2/14. What is the common denominator of 3/8 and (d/(-176))/((-1)/4)? 8 Let k = 2200/9 - 248. Let w(l) = l**2 + 2*l - 1. Let r be w(-4). What is the common denominator of k and r/(-9) + -2 + 2? 9 Let m = -417506/51 + 8185. Calculate the common denominator of 8/57 and m. 969 Let m = 8869/856 + -52/107. Suppose 9*o + 18849 = -222. Let j = o + 12643/6. Find the common denominator of j and m. 24 Let i be (-112)/(-11) + 20/(-110). Let q be 11174/i*22/52. Let z = q - 6030/13. What is the common denominator of 16 and z? 10 Let o = 50 + -35. Let y(k) = k**3 - 15*k**2 + 14. Calculate the lowest common multiple of 6 and y(o). 42 Let h = -118 + 109. Calculate the least common multiple of (-46)/(-2) + (-12 - h) - 0 and 40. 40 Suppose 357 = -2*k + b, -9*k = -5*k + b + 723. Calculate the common denominator of (-155)/k*15 - (2 + 0) and ((-34)/(-4))/(-5*2). 60 Let m = -22 + 22. What is the least common multiple of (-1 + m)*4/(-2) and 8? 8 Let b = -216 + 244. Let t(v) = v**3 - 2*v**2 - 4*v + 3. Let g be t(3). Suppose 2*a - 16 - 20 = g. What is the smallest common multiple of b and a? 252 Let d(i) = i**2 - i + 3. What is the lowest common multiple of d(6) and 6*(3 + -6)*(-145)/87? 330 Suppose 3*p - 89 = 85. Let d = 66 - p. What is the smallest common multiple of 1 and d? 8 Let z = -61080 - -3420575/56. Calculate the common denominator of z and -61/40. 280 Let z(c) = -111*c**2 + 2*c + 1. Let v be z(-1). Let f(n) = 3*n**3 + 2*n**2 + 4*n - 1. Let i be f(3). Find the common denominator of 44/9 and 9/(-45) - v/i. 99 Suppose -7*y + 1399 - 783 = 0. Calculate the least common multiple of 24 and y. 264 Let h = 931 + -915. What is the lowest common multiple of 414 and h? 3312 Let r be (-25502)/(-5)*(-7)/14. Let z = r - -2540. Calculate the common denominator of 35/8 and z. 40 Suppose z = -f + 1, 2*z - 5*f = -0*z - 19. Let l(m) = 8*m**2 - 2*m. Let o = -128 - -130. Calculate the least common multiple of l(z) and o. 36 Let k = -11621/2820 - -29/188. Let x = 1673/8 + -210. Find the common denominator of x and k. 120 Let j = -84023/14 - -5994. Let x be 6*((-4317)/20 - 0). Let v = -1294 - x. What is the common denominator of v and j? 70 Let d = -32 - 11. Calculate the common denominator of 33/264 - -113*1/8 and d. 4 Let h(c) = -c**2 + 12*c - 3. Suppose -6 = v - 15. Let r = v - 0. Calculate the least common multiple of 4 and h(r). 24 Suppose -35*i + 36*i + 5*g = 33, 5*g = 2*i - 66. Calculate the least common multiple of i and 354. 3894 Let h = -868 + 912. Calculate the lowest common multiple of h and 4. 44 Calculate the least common multiple of 9/((-1287)/(-650)) - 6/11 and 18. 36 Let f(h) = 2*h**2 - 4*h - 3. Let r be f(5). Let g be (r - -4)/(-1 + 2). Let w = g + -97/3. Find the common denominator of w and -45/7. 21 What is the least common multiple of -12*8/(-16) + 3 and 156? 468 Let o = 4 - -20. Let d = -474 + 6651/14. Find the common denominator of o and d. 14 Let v = -484 + 340. Suppose -3*w + 18 = -3*r, -2*r = 2*r - 2*w + 18. Calculate the common denominator of 2/r + (-231)/v and -13/10. 80 Let m(t) = t**3 + 5*t**2 - 5*t + 5. Calculate the common denominator of 64/55 and m(-4). 55 Suppose 0*x = -5*
{ "pile_set_name": "DM Mathematics" }
= -15535 + 15484. What is the third smallest value in 2/11, -1, 0, y, 2/3? 0 Let x(u) = -u**2 + 19*u - 17. Let s(h) = 3*h**2 - 8*h + 2. Let y be s(4). Let p be x(y). Which is the smallest value? (a) 0.2 (b) p (c) 37 a Let x be (3 - (-67)/(-22))/((-280)/(-15)). Let o = x + -867/23408. What is the smallest value in 2/11, o, -3/7? -3/7 Let y = 11 + -11.3. Let x = 0.071 - 0.071. Let g = -0.45 - -0.85. Which is the smallest value? (a) x (b) y (c) g (d) -3 d Let l = 5 + -4.808. Let j = -0.192 + l. Which is the second biggest value? (a) -1/13 (b) -3/5 (c) j (d) -4 a Suppose 3*j = 22 - 16. Let i = 33.3 - -7.7. Which is the third smallest value? (a) -4 (b) j (c) i c Let o be (-3)/6*4/21. Let t = 173 - 177. Let x = -4 - t. What is the second smallest value in x, -5, 0.1, o? o Let s(y) = 24*y**2 - 531*y + 61. Let t be s(22). Which is the fourth biggest value? (a) -3 (b) 4/3 (c) t (d) 2 c Suppose -2*j + 18 = 2*x, x - 5*j - 81 = -3*x. Suppose -u = -12 - 9. Let p be u/x + (-54)/28. Which is the second biggest value? (a) p (b) 5 (c) -1 a Let x = 0.842 + 1.158. Let w be 6/12 + (-403)/10. Let s = 40 + w. Which is the third smallest value? (a) x (b) s (c) 0.1 a Let z(t) = 66*t + 2167. Let g be z(-33). What is the biggest value in g, -1/6, -39? -1/6 Let y = -1047 - -6355/6. Let h = y - 955/78. What is the third biggest value in h, 0.3, 4/7? h Let r = 631/44 - 177/11. What is the biggest value in r, -0.5, -4, -66? -0.5 Let f = 21 - 15. Let z = f - 8. Let n = 1569 - 1568.7. Which is the third smallest value? (a) z (b) n (c) 1 (d) 3 c Let f = -306 + 301. Which is the third biggest value? (a) f (b) -0.3 (c) -2/21 (d) -2 d Let p = 230 - 230.217. Let i = -3.783 + p. What is the smallest value in 34/13, 3/2, i? i Suppose -u = -4*y - 22, -2*u + 10*y + 29 = 5*y. Let h = -207.552 + -0.448. Let r = h - -203. Which is the second smallest value? (a) u (b) r (c) 3 (d) 0.2 d Let v = -19/7 + 157/63. Let o(t) = -42*t + 290. Let h be o(7). Which is the third biggest value? (a) v (b) h (c) 3 (d) -2/5 d Let j = -347/25 - -342/25. Which is the third smallest value? (a) j (b) -2/9 (c) -230 (d) -2/13 a Let v be ((0 + 2)/(-10))/((-1569)/(-2615)). What is the smallest value in -0.5, -63/11, v? -63/11 Let u = 35.73 - 36. Let p = 24.27 + u. Let s = -27 + p. Which is the smallest value? (a) s (b) -10 (c) -2 b Let g(m) = -58*m - 2*m**2 + 59*m - 4 + 7. Let j be g(3). Let y be j/9*(-4 + 1). What is the smallest value in 2, -2, y? -2 Let a = -8.87 + 6.87. Let w = -105 - -2521/24. What is the biggest value in -4, w, a? w Suppose 9*k - 112 = -121. Let w be 14 + 1/4*4. Let x be w/27*12/30. Which is the second biggest value? (a) k (b) 6 (c) x c Let i = 98 + -273. Let y = i + 101. Which is the smallest value? (a) y (b) 2 (c) -5 a Let o = 260 - 455. Let x = -199 - o. What is the third biggest value in 6, 5, x? x Let o = 0.1045 - 0.1045. What is the third smallest value in -0.0234, o, -1/5? o Let n be 550/(-363) + (-36)/(-27). What is the second smallest value in n, -141, -1/3? -1/3 Let m = 2.092 + -2.492. Which is the second biggest value? (a) -5479 (b) 1/2 (c) m c Let x be (-6)/(-7)*(-5)/135. Let i be (-2)/(-3)*(-3)/(-7). What is the third biggest value in i, 5, x? x Let b = -3 - -2.9. Let g = 393 + -190. Let i = g + -611/3. What is the third biggest value in 8/9, b, i? i Let a be (7 - -33)*(-6)/12. Let d(y) = -y + 15. Let h be d(11). What is the third biggest value in a, h, -1? a Let b = 403.6 + -405.6. What is the third smallest value in b, -0.4, 28? 28 Let z = 0.3 + 0.2. Let x = -0.303 + 0.295. Let j = x - 0.392. What is the third biggest value in z, j, -3/4? -3/4 Suppose 6*o - 461 + 2825 = 0. Let g = -789/2 - o. Which is the third biggest value? (a) 42 (b) -0.3 (c) g c Let a = -29 + 26. Let s = -6.86 + 7.06. What is the second smallest value in s, 2, -1.3, a? -1.3 Let r be 12/27 + 16/(-24). Let z = 145 + -144.5. Which is the second smallest value? (a) r (b) -0.5 (c) z a Let u = -25 - -129/5. Let n = 331 - 330.8. Which is the fourth biggest value? (a) -0.1 (b) 1/3 (c) u (d) n a Let j(y) be the first derivative of 2*y**2 + 41*y + 3. Let t be j(-10). Let f be 2 + -4 + 0 + 1. What is the third smallest value in t, f, 5, 0.5? t Let d(o) = -o**2 - 49*o - 219. Let x be d(-43). What is the third biggest value in -3, x, -1? -3 Let d be (-105)/(-49) + (-4)/4. Let l be (-2 - (-11)/3) + -2. Which is the second smallest value? (a) l (b) d (c) 0.2 c Let l(x) = x**2 - 45*x - 359. Let k be l(52). Let y be (-23)/7 - 2/(-7). Which is the fourth biggest value? (a) y (b) 2/15 (c) k (d) -8 d Let u = -609 + 608.95. Let d = -3.1 - -2.8. Which is the third smallest value? (a) -0.1 (b) d (c) u c Let i = 834.2 + -834.3. Which is the fifth smallest value? (a) -2 (b) 16 (c) 1 (d) i (e) -2/19 b Let v(d) = -d**3 + 11*d**2 - 12*d - 15. Let q be v(11). Let j = 148 + q. What is the second smallest value in j, -1/7, -4, 2/9? -1/7 Let h = -1462.2 - -1459.2. Which is the third smallest value? (a) -1 (b) h (c) -6 (d) 2/21 (e) 1.3 a Let f = 412.6 + -413. What is the second smallest value in 50/27, f, -2? f Let q = -11 - -11.5. Let u be (96/864)/((-1)/(-12)). Which is the third smallest value? (a) u (b) 0.3 (c) -15 (d) q d Let y(m) = 401*m - 409. Let g be y(1). Which is the smallest value? (a) -1/3 (b) -0.13 (c) g c Let m = -4.4 - -4. Let u be (-515)/2163*(-234)/(-65). Which is the biggest value? (a) u (b) m (c) -3/7 b Let i = 0.8 + 13.2. Let l = i - -38. Let q = l + -51. Which is the second smallest value? (a) -0.1 (b) -1 (c) q (d) -4 b Let t = -0.0403 + 0.0403. Let n = 5.547 - -0.053. Let f = n + -6. Which is the biggest value? (a) -5 (b) f (c) t c Let v = 105.65 + -106.15. Which is the fifth smallest value? (a) 1/7 (b) 0.041 (c) -5 (d) 2/9 (e) v d Let t(f) = 9*f**2 + 31 - 13*f**2 + 5*f**2 + 37*f - 196. Let v be t(-41). Which is the second smallest value? (a) v (b) 3/4 (c) -8 a Let n = 322.998 - 323. Let d = -423 - -427. What is the second biggest value in 3, d, n? 3 Let u = -0.5 + 0.4. Suppose 118 = 13*t + 105. Which is the third biggest value? (a) u (b) t (c) -0.9 c Let z = -3258 + 3257.3. What is the smallest value in -4, 9, z? -4 Let t = -8533 + 8532.7. What is the third biggest value in t, -1/36, 0? t Let p(k) = -k**3 - 21*k**2 - 20*k + 5. Let s be p(-20). Let f be s/225*9*1*4. Which is the biggest value? (a) 2 (b) f (c) 0.2 a Suppose 0 = -27*q - 65*q + 232 - 48. Which is the second biggest value? (a) -5 (b) 5 (c) 827/6 (d) q b Let h = -0.108 - -0.168. Let y = 0.36 - h. Which is the second smallest value? (a) 2 (b) -1 (c) 0.7 (d) y d Let z = 11 - 11.4. What is the fifth smallest value in -0.2, z, -0.5, 2, -0.07? 2 Let p = 0.2363 + -2.2363. What is the smallest value in -2/11, 2/7, -0.5, p, -1/7? p Let s = -683/12 - -229/4. Suppose -t + 62 = 18. Suppose 43*m - t*m - 9 = 0. What is the biggest value in m, -0.4, s? s Let x = 6 - 5.8. Let y = -2.01 + 2.117. Let g = y + 0.693. Which is the third biggest value? (a) -2/13 (b) x (c) 4 (d) g b Let z be ((-4)/50)/((-2)/10). Let d = 17/2 + -9. Let u = 78800 + -78804. What is the second smallest value in z, 2/3, d, u? d Let w = -45/2 + 22. Let o = -5864/8589 - -46/2863. Let x = 4 - 8. What is the second smallest value in x, w, -0.2, o? o Let v be (-39 - -37)/(16/(-1986))*(-112)/42. What is the third smallest value in -0.2, -5, v, 4? -0.2 Let o be (1080/(-56))/9 - 2/(-14). Let u be o/(-3) - 5/(225/(-6)). Which is the smallest value? (a) 3 (b) -11/4 (c) u b Let n be (-26)/(-7) - ((-5)/(-7) + -1). Let d = -25.53 + 0.13. Let m = d + 25. What is the second biggest value in n, m, -3, -0.02? -0.02 Let m = -2069 - -2067. What is the third biggest value in m, 5/2, -10, 1/15? m Let y = -18751 - -24588. What is the smallest value in 0, y, 4? 0 Let i = -3.4 - -3. Suppose 4*x - 5*y + 396 + 685 = 0, -2*y - 280 = x. Let q = x - -275. What is the second biggest value in q, -15, 2/9, i? 2/9 Let x = 7.764 - 10.464. Which is the second biggest value? (a) -1 (b) -3/5 (c) 0.4 (d) x b Let i = 732.2 + -656. Let q = i - -44.3. Let o = q - 121. Which is the second biggest value? (a) o (b) 0.02 (c) 0.2 b Let j = 6 - 6.1. Let n = j - -3.1. Let y = -2.599 + 2.799. Which is
{ "pile_set_name": "DM Mathematics" }
2*(-1)/1026)? 3, 19 Suppose 33*g - 30*g - 66 = 0. List the prime factors of (-67)/((-1)/(-6) + (-11)/g). 3, 67 Let x = 202 + -134. Let r = x - -5. What are the prime factors of r? 73 Let x = 697 + -429. Let u = 383 - x. What are the prime factors of u? 5, 23 Let h(p) = -60*p**3 + p**2 + 3*p + 3. List the prime factors of h(-4). 3847 Let l be 460/15 - 4/6. Let w = l + 32. Let x = -40 + w. What are the prime factors of x? 2, 11 Suppose -98*i = -804814 + 262972. What are the prime factors of i? 3, 19, 97 Let w(t) = 8*t - 107. What are the prime factors of w(26)? 101 Let h = -140 + 274. Suppose -3*c = o - 100 - h, 3*o = 0. List the prime factors of (c/9)/((-6)/(-9)). 13 Suppose 468*o - 471*o + 8997 = 0. List the prime factors of o. 2999 Suppose 5*d + 4 = 19. Let k = 1 + d. Let j(a) = 10*a - 1. List the prime factors of j(k). 3, 13 Let q(v) = 3*v**3 - 13*v**2 + 6*v. Suppose -6*n + 17 = -13. List the prime factors of q(n). 2, 5 Let b be (-3)/(-2) + 2/(-4). Suppose 2*w + b + 3 = 0. What are the prime factors of w/(-3 - -1) - -12? 13 Let v(l) = -l**2 + 7*l + 4. Let c be v(7). Suppose 0 = g - 2, -2*h - c*g + 296 = -0*g. What are the prime factors of h? 2, 3 Let f(i) = -11*i**3 + 4*i**2 + 3*i + 3. Suppose 0 = -8*a - 14 - 10. List the prime factors of f(a). 3, 109 Let p be 188/6*15/10. Let h be 1/4 - (-117)/(-4). Let x = p + h. What are the prime factors of x? 2, 3 Suppose -p - p = -5*z + 1, -3 = -p - z. Let h(u) = -12 - 4*u + 6*u**p + 6*u - 4*u - u**3. List the prime factors of h(5). 3 Suppose 2*n + 2*n + 50 = 5*h, 4*n - 4*h = -52. Let z(f) be the third derivative of -f**4/12 + f**3 - 131*f**2. List the prime factors of z(n). 2, 3 Suppose 0 = -4*f + 4*p + 528, -37 - 629 = -5*f - p. Suppose -9*s + 110 = -f. List the prime factors of s. 3 Let y(a) = -56*a - 26. What are the prime factors of y(-10)? 2, 3, 89 Let v = 123 - -535. List the prime factors of v. 2, 7, 47 Let y = 5277 - 1127. List the prime factors of y. 2, 5, 83 Let p be (109/(-3))/((-2)/12). Suppose -5*h + 356 = 4*g, -3*h + 0*g = -2*g - p. What are the prime factors of h? 2, 3 List the prime factors of (-2 + (-55)/10)*-78. 3, 5, 13 Let s = -25 + 30. Suppose -4*l + 17 = 3*c - 4*c, -s*c = 3*l - 30. What are the prime factors of c? 3 Let v(b) = b**2 + 4*b - 1. Let r be v(-5). Let g be (-2)/r*(-132)/2. Suppose 3*k - g - 9 = 0. List the prime factors of k. 2, 7 Suppose 5*g + 0*g = -5. Let z be ((-2320)/(-64))/(g/(-4)). Suppose 21 = -4*a + z. What are the prime factors of a? 31 Suppose -3*z = -3*o - 2295, 4*o + 0*o = -2*z + 1512. What are the prime factors of z? 2, 3, 127 Let s(m) = 117*m**3 - m**2 - 2*m + 1. What are the prime factors of s(2)? 929 Let t = -2455 + 4864. List the prime factors of t. 3, 11, 73 Suppose -3*y + 5*y = -4*v + 46, 2 = -v. Suppose 237 = 3*r + y. What are the prime factors of r? 2, 5, 7 Suppose 0 = -2*t + 18 - 2. Suppose 1757 = t*q - 523. What are the prime factors of q? 3, 5, 19 What are the prime factors of (-5028)/(-9) + 2/(-3)? 2, 3, 31 Let j be 0/2 - (18 - -3). Let s be (-108)/(-14) - 6/j. Suppose -5*a + 48 = s. List the prime factors of a. 2 Let m = -29 + 24. List the prime factors of (-19)/((-5)/m - 2). 19 Suppose 0 = -5*q - 5*w + 1655, w - 1318 = -3*q - q. List the prime factors of q. 7, 47 Let t(h) = -h**3 + h**2 - 2*h + 9. Let u be (-6)/(-3) + 4/(-2). Let k be t(u). Suppose -a - 2 = -3*i + 4, 5*a - k = 2*i. List the prime factors of i. 3 Suppose -y + 3 = -2. Let i(q) = 6*q + 19 - y*q + q**2 + 0*q. List the prime factors of i(0). 19 Let r(n) = 119*n**2 - 3*n - 2. Let q = -49 - -48. List the prime factors of r(q). 2, 3, 5 Let d = -37 - -40. List the prime factors of (-4 - 1)*(d + -22). 5, 19 Let w(i) = -8 + 2*i - 8 + 7. What are the prime factors of w(24)? 3, 13 Suppose -2*b - 12 = b. List the prime factors of (-4)/((-10)/b - 3). 2 Let x be 3132/21 + 2/(-14). Let n = -97 + x. What are the prime factors of n? 2, 13 Let z(g) = -g**2 - 2*g + 5. Let m be z(-5). Let v be (m/(-12))/((-3)/(-18)). Suppose -v*n + 35 = 5. What are the prime factors of n? 2, 3 Let h(o) = o**2 + 8*o + 4. Suppose 28 = -2*w - 2*w. Let d be h(w). Let u = 25 + d. List the prime factors of u. 2, 11 Suppose -14*g + 17*g = 0. Suppose 0 = -5*s - 2*q + 151, -5*q = -4*s - g*s + 134. List the prime factors of s. 31 Let s = 12 - 8. Suppose 2*o + s*h = 28, h + h = -3*o + 22. Suppose o*y - 2*y - 38 = 0. List the prime factors of y. 19 Suppose -25*k + 7*k = -11268. List the prime factors of k. 2, 313 Let s = 49 + -44. Suppose 0 = -3*v + s*v - 128. What are the prime factors of v? 2 What are the prime factors of (2664/8 + -5)/2? 2, 41 Let b = -32 + 34. Suppose -207 = -3*p + 4*m + 419, 0 = b*p + 5*m - 448. List the prime factors of p. 2, 107 Let n(u) = -u**2 + 6*u**2 - 5*u**2 - u**2 - 13*u + 3. Let h be n(-7). List the prime factors of ((-32)/2)/((-30)/h). 2, 3 Let w(i) = i**3 - 7*i**2 + 15*i - 2. Suppose 0 = 3*a - 4*a - 1, -31 = -5*c + a. List the prime factors of w(c). 2, 13 Suppose -4*s - 2*u + 23416 = 0, 8*u = 12*u + 16. What are the prime factors of s? 2, 3, 61 Let q = -491 - -1569. What are the prime factors of q? 2, 7, 11 Let n(g) = -g**3 + 12*g**2 - 10*g + 5. Suppose 3*p + 0*v = v + 33, -3*p = -5*v - 33. What are the prime factors of n(p)? 2 Suppose 7 + 9 = 4*d. Suppose 0 = -d*o + o + 15. Suppose 2*r - o = 13. What are the prime factors of r? 3 Suppose 0 = -2*m - 3*m - 25. Let y(c) = c**2 + 4*c - 2. Let o be y(m). Suppose -o*a + 113 + 61 = 0. List the prime factors of a. 2, 29 Suppose m + 6 = 3*m. Let h(l) = -4*l - 2*l**2 + l**m + l**2 + 3*l - 3. List the prime factors of h(3). 2, 3 Suppose -62*n = -4*g - 60*n + 4986, -1239 = -g - n. List the prime factors of g. 2, 311 Let a(q) = q**2 + 12*q + 6. Let h be a(-10). Let r = h + 10. Let z(x) = -x + 3. What are the prime factors of z(r)? 7 Let s(m) = m**2 + 6*m - 162. What are the prime factors of s(-22)? 2, 5, 19 Let l(q) = 8*q - 1. Let g be l(2). Let u = -7 + g. Suppose 2*y + s = 6*y - 13, y = 4*s - u. What are the prime factors of y? 2 Let k be -3 + ((-4)/(-4) - 14). Let j = 83 - k. Suppose 2*w + 3*u = -w + j, -3*w - 5*u = -105. List the prime factors of w. 2, 3, 5 Let u(x) = 10*x**2. Let p(q) = -9*q**2. Let y(j) = 2*p(j) + 3*u(j). Let l be y(1). Suppose -11 = -c + l. List the prime factors of c. 23 Let b(z) = -68*z - 1. Let o be b(-2). Suppose -5*h + 163 = 2*t - 4*t, -5*h = 5*t - o. List the prime factors of h. 31 Let w(n) = -2*n**3 - 12*n**2 + 18*n + 69. List the prime factors of w(-9). 3, 131 Suppose -v - 4*t = -222, 0*v + 2*v - 472 = -t. What are the prime factors of v? 2, 7, 17 Let b = 14 + -11. Suppose -p - f - 9 = 0, -b*p + 5*f - 64 - 3 = 0. Let g = 28 + p. List the prime factors of g. 2, 7 What are the prime factors of 2*5*2/(8/172)? 2, 5, 43 Let y(m) = -2*m**2 - 4*m + 1. Let q be 2/3*48/(-8). Let r be y(q). Let a(l) = l**2 + 14*l + 9. What are the prime factors of a(r)? 2, 3 Let z = -9 - -16. Let c be (z + -4)*1 - -9. Let q = 18 - c. What are the prime factors of q? 2, 3 Suppose u = 0, 0 = 4*m + 4*u - 47 + 263. List the prime factors of (-6)/(-4)*(-6660)/m. 5, 37 Suppose 25*k = 29*k - 3620. List the prime factors of k. 5, 181 Let m(a) be the second derivative of -a**3/6 + 39*a**2 + 10*a. What are the prime factors of m(0)? 2, 3, 13 Suppose -722 = -5*a + 2248. List the prime factors of a. 2, 3, 11 Let w be 3/(24/(-76)) + (-9)/(-6). Let c(n) = -n**3 - 6*n**2 - n - 6. List the prime factors of c(w). 2, 5, 13 Suppose -50*s = -47*s - 12. List the prime factors of -1 - -184 - (s - 2). 181 Let a(v) = 13*v - 6 - 32*v - 2. What are the prime factors of a(-2)? 2, 3, 5 Let h = -8 - -7. Let o(s) be the third derivative of -s**6/5 - s**4/24 - 9*s**2. What are the prime factors of o(h)? 5 Let j(s) = -s**3 - 2*s**2 + 20*s - 68. List the prime factors of j(-13). 1531 Let y = 254 + 1. List the prime factors of y. 3, 5, 17 Let v = -8 - -26. Let x = 12 + v. List the prime factors of x. 2, 3, 5 Suppose 0 = 4*p - 4 - 8. Let h(q) = 16*q**2 - q + 1. Let v be h(1). Let m = v + p. What are the prime factors of m? 19 Let x be (12/14)/((-4)/(-1932)). Suppose u - 41 - 47 = -5*c, x = 5*u - c. What are the prime factors of u? 83 Let u = -52 + 79. Suppose -u + 7 = -5*j, -3*g + 736 = -2*j. What are the prime factors of g? 2, 31 Let t(n) = -n**2 + 13*n + 11. Let h be t(11). Le
{ "pile_set_name": "DM Mathematics" }
e 8/(-40)*-65 + (-6)/(-2). Suppose i*q - 11*q = 15. Solve 0 = 3*a - 12 + q, 2*a = -k + 9 for k. 3 Let h(u) = -3*u - 16. Let s(v) = 0*v + 0*v + 25 + 5*v - v. Let m be s(-8). Let b be h(m). Solve 0 = r + b*a - 15, 2*r + 2*a - 6 = -0*r for r. 0 Suppose 2*y + 13 = 17. Suppose y*w + 5*h - 2*h - 65 = 0, 0 = -4*w + 2*h + 90. Let b be (1 + -3)/((-4)/6). Solve -r - 2*r = 5*l - 15, -b*l = -5*r + w for r. 5 Let x be (5 - 3)/((-8)/(1080/1197) - -9). Solve 4*s + z = 5, 0 = 5*s + 18*z - x*z - 8 for s. 1 Let l = 224 + -211. Let v be (2 - l - -10) + 8/1. Let c be 5*(0 - 4/(-10)). Solve -3*u - v = c*m, 0*u + 4*u + 24 = m for m. 4 Let i(g) = -18 - 96 - 20*g + 199. Let v be i(4). Solve -v*z + 13 = 5*y + 38, -5*y = -5*z - 25 for z. -5 Let k(o) = 4*o**2 + 7*o + 5. Let u be k(-1). Solve -y + 5 = 5*f, 7*y - u = 4*f + 9*y for f. 2 Suppose -131*o + 127*o - 5*h + 10 = 0, 4*o = -h + 2. Solve -10*a = -11*a + 5, -5*y - 5*a + 20 = o for y. -1 Let w be (-2 - -10)*((-3)/2)/(-3). Solve 42*o - 38*o = -w*s + 32, -s = 2*o - 13 for o. 5 Suppose -b = 1 - 8. Let o = -72902 - -72907. Solve -3*t + 3*f = o*f + b, -5*t - 2*f - 13 = 0 for t. -3 Let c(f) = f**2 - 2*f - 3. Let m be c(4). Let q be (10*12/20 - 11)/(-1). Suppose 12 = 2*d - 3*g, 3*g = 3*d - 0*g - 15. Solve -l = q*s - d*l, -4*s = -m*l for s. 0 Let i be (7/14)/((-2)/4) + 5. Suppose p - 4*x + 27 = 6*p, i*p + 4*x = 24. Solve 8 = -p*h - 1, 0 = 3*k - 3*h - 9 for k. 0 Let t be 12/9*((-26)/52 + 17/4). Solve -25 = t*u, -3*s - 2*u + 1 = -4*u for s. -3 Suppose 4*w = 179 - 1063. Let d = w + 227. Solve 7 = 5*q + k, 16 = 5*k + d for q. 1 Let i = -93 - -96. Suppose 0*a + 12 = i*a. Solve 5*t + 2*j = 16, a*j = 2*t + j - 14 for t. 4 Let y = -352 + 352. Solve -2*a + 10*b = 8*b + 6, y = 2*a + 4*b - 18 for a. 1 Suppose -i + 2 = 3. Let c be -1*(i - (0 + -2)). Let r be (-5)/5*-2 - c. Solve n + t + 2 = -0, -5*n + r*t - 2 = 0 for n. -1 Suppose -84 = -r + 75. Let g = r + -154. Solve 3*y - 2*p + 6*p = 2, -g*p = -y - 12 for y. -2 Let j(v) = -8*v**3 + 5*v**2 - 3. Let o be j(-1). Let n = 137 + -55. Let q be 18/(-90) + n/o. Solve 2*i - 2*k + 0 = -12, 2*k = i + q for i. -4 Suppose 5 = -3*r + 4*r. Let t = -143 + 121. Let a(g) = -g**3 - 22*g**2 - 3*g - 47. Let y be a(t). Solve 2*p + r*i + 10 = -3*p, 3*p - 2*i - y = 0 for p. 3 Let c be 2/(12/(-96) - 10/(-16)). Solve 2*t - 5 = 5*f + 15, 2*t = f + c for t. 0 Let h(z) = -z + 26. Let k be h(21). Suppose 45 = 5*d - k. Let o = -11 + 16. Solve 2*r - 4 = -2*b - 0*r, o*b + 4*r - d = 0 for b. 2 Let r be (-3)/9 - (-8)/(264/77). Solve r*s = 0, s + 3 = -c - 1 for c. -4 Let s = -10 - -13. Let z be 17*(-2*s/3 + 3). Suppose 0 = 5*n - 32 + z. Solve -12 = n*c + 3*j, -5*j - 14 = c - 2 for c. -2 Let y(v) = 7*v**3 + 5*v**2 - 8*v + 6. Let r be y(4). Let z = r - 497. Solve -4*u + z = -5*x, 5*x = x + 4*u for x. -5 Suppose 338 + 1327 = 64*x + 47*x. Solve x = 5*l + 2*a, -3*l + 35 = -0*l - 4*a for l. 5 Suppose 30 = 5*h + 10, -f = -5*h - 42. Let t = -4818 - -4875. Let g = f - t. Solve g*o + 36 = -4*r, 2*o + 0 = r - 4 for r. -4 Let w be (-138)/15 - (-242)/110 - -11. Let g be 89/(-4) - 1/(-4). Let r be g/12*-2*6. Solve i - 4*d = 2*i - 12, -w*i = 3*d - r for i. 4 Let h(m) = -m**3 - 49*m**2 + 387*m - 275. Let t be h(-56). Solve -8*o - 4*s = -3*o - 13, -2*o = t*s - 12 for o. 1 Let s(x) = -x**3 + 98*x**2 - 289*x + 382. Let p be s(95). Solve 3*g - 9 = p*v, -95*g - 2*v + 26 = -91*g for g. 5 Let n(u) = -30*u**2 + 185*u - 25. Let t be n(6). Solve 5*a - 2*a + t*j - 1 = 0, -j - 7 = -3*a for a. 2 Let n(l) = l**3 - l**2 - l. Let r be n(0). Suppose 79*a - 83*a + 5*v + 7 = r, -2*v + 5 = a. Solve -2*g + a*g - 5*p = -10, 0 = -5*g - 5*p - 20 for g. -5 Let y(f) = 67*f + 11. Let d be y(-3). Let x be ((-256)/56)/8 + d/(-14). Suppose 16*s - x*s = 75. Solve -5*h - 6*q + 2*q + 5 = 0, -5*q + s = 0 for h. -3 Suppose -100*l + 104 = -96. Solve -21 - 2 = -5*k - 4*i, 0 = -i + l for k. 3 Let w(y) = 2*y**2 + y + 46. Let f be w(-6). Suppose 100 - f = -3*z. Solve j - 2*j = z, 4*j + 36 = 5*c for c. 4 Let q be (-1 + 1)/(-15 + 14)*8/(-8). Solve q = 34*p - 39*p + 4*h + 16, -5*h - 20 = -4*p for p. 0 Let i(q) = -q**2 + 2*q + 1. Let v be i(3). Let r be (31/62)/(v/(-20)). Solve -5*k - 5*y - 10 = 0, -3*k = -0*y - r*y - 34 for k. 3 Let p be ((-72)/(-10) - -2)*(-1 + -4). Let n = 58 + p. Let i = 15 + n. Solve -3*f - 4*g = i, g - 3*g + 4 = -2*f for f. -5 Let n = -62 - -64. Suppose -6 = 2*s, -2*o + 7*s = n*s - 19. Solve -9 + o = w + 3*a, 4*a + 11 = -w for w. 5 Let h = -2490 + 2495. Solve 12 - 3 = -2*x + 3*d, -3*x + h*d = 15 for x. 0 Suppose -2*p - 12 = -24. Suppose v + 2*t - 2 + p = 0, -3*v = 2*t + 32. Let f = 37 + v. Solve -4*i + 12 + 2 = -2*k, 4*k = 3*i - f for i. 1 Suppose 5*f + 95 = k, -4*f + 21 = 3*k + 97. Let s = f + 20. Let o(z) = 2*z + 2. Let m be o(s). Solve -29 = -4*g + 3*y, -5*g + 2 = m*y - 11 for g. 5 Suppose -2*t + 7*t = 20. Let n be t - -5*(-5)/25. Suppose 0 = 21*f - 24*f + 9. Solve -n*o + c - 15 = -o, 0 = -f*o - 4*c + 5 for o. -5 Let k = -3985 - -3994. Solve 8 = -2*d - 2*s, k*s - 4*s + 28 = 3*d for d. 1 Let i(w) = -12*w - 6. Let k be i(-2). Suppose 5*y - 25 = g, 166*y - 165*y - 5*g = 29. Solve 0 = 2*n - y, -5*x + 4*n + 5 = k for x. -1 Let f(z) = 2*z**2 + 46*z + 10. Let j be f(-18). Let q = j - -189. Solve 1 = -3*r + 7, -2*r = -5*o - q for o. -3 Let t = -61 + 73. Suppose -2*i + 5*i = t. Suppose 2*m - b - i*b = 35, -4*b = -5*m + 45. Solve 3*n + 16 - 1 = 4*r, -n - 16 = -m*r for r. 3 Let y = 502 - 457. Let b be (-3 - (-243)/y)/(4/10). Solve -2*a = -5*n + 16, -a + b*a = -5*n + 30 for a. 2 Let k(x) = 49*x + 4169. Let c be k(-85). Solve 16 + 12 = c*n - 4*u, 5*n = -2*u for n. 2 Suppose 8 = -4*x + 8*x. Suppose x*v - 74 + 68 = 0. Solve 5*f - 20 = -3*u + 8*u, 3*f + v*u + 6 = 0 for f. 1 Let p be (-10)/(-30)*-3*(-8 + -2). Solve -s + 3*s = -5*x - 20, p = -2*s for x. -2 Suppose -o - 194 = -206. Let h be (-4)/(9/((-54)/o)). Solve 0 = -h*u - 4*r - 12, u - 5*r - 15 = -2*u for u. 0 Let k be -3*(1 + 0) - -5. Suppose -k*i = 4*s - 24, -2*s - 8 = -i - 3*i. Suppose 3*d = d + s. Solve 0*o = 4*m - 5*o - 37, 0 = -5*m - d*o + 5 for m. 3 Let a be -1 + 4 - (-3)/(-6)*0. Suppose 3*r - 4*r + 2*p + 5 = 0, -5*p + 15 = a*r. Suppose 3 + 12 = r*b. Solve -3*u - b*v - 4 = -1, 2*u + 4*v = 0 for u. -2 Suppose -220*p - 102 + 392 = -1910. Solve -2*i + 2*w - 12 = 0, -2*w = 5*i + 3*w - p for i. -2 Let f be (-10)/15 - (-20)/3. Let p = 302 - 284. Suppose f*u + p = 78. Solve -4*o = c - 19, 5*o - u = -c + 13 for o. 4 Suppose 0 = 7*f + 14*q - 13*q - 302, q = 5*f - 214. Solve -41*u + f*u + r + 3 = 0, u + r - 1 = 0 for u. -4 Suppose 0 = -w - 318 + 345. Let y = 4 - 26. Let z = y + w. Solve -z*x = 5*o - 20, -2*o - 11 = -5*x - 4*o for x. 1 Let x(o) = -o**3 + 50*o**2 - 202*o - 1026. Let r be x(45). Solve -i + 15*l = 14*l - r, -3*i + 5*l = -37 for i. 4 Let m(v) = 7*v - 401. Let t be m(58). Solve t*g = -5*b + 5, -41 = 2*b - 4*g - 13 for b. -4 Let i be -10 + 610/60 - 51/(-18)*1. Solve -2*y = 3*p + 1, 9 = y - i*p - 4 for y. 4 Let g(n) = -3*n**2 - 372*n - 368. Let s be g(-123). Solve -9 = -4*h - 2*u - s, -16 = -2*h - 4*u for h. 0 Let s be (-4 + 16/(-8))/(6/(-28)). Let u = s - 13. Suppose -80 + 5 = -3*k. Solve v = 5*d - 2*v + u, 5*d + 5*v = k for d. 0 Let m be ((-6)/(-4))/(((-20)/50)/(16/(-20))). Solve -m*c = 5*q + 39 - 2, c - 4*q - 16 = 0 for c. -4 Let b = -21 + 23. Suppose b*p - 2*p + 5*p = 0. Let l = -547 + 550. Solve p = -h + 2*z - l, -5*h - 5*z + 9 = -3*z for h. 1 Let x be 1 + (-35)/25 - (-1479)/(-15). Let f = x + 102. Solve 4*n + 2*v - 24 = 0, -n - v + 2*v = -f for n. 5 Suppose -2*m - 52 = -2*h, 0 = 3*h - 0*m - 4*m - 80. Let v be ((-1)/1 - (-24)/h)*-1. Solve -4*d - 2*r = 2*r + 32, -2*d + r - 1 = v for d. -3 Suppose 0 = -b - 4, -49*b - 11 = -3*l - 50*b. Solve 3*x + 5*m - 5 = 0, -2*x = -0*m - l*m - 20 for x. 5 Suppose -2*d - 33 = 45. Let g be (13/d - 25/(-3)) + 4. Let m be g/(-9)*(-2 + -1). Solve m*h = 12, -n = h + h - 8 for n. 2 Let w = -715 - -715. Solve 3*y + 2*k - 5 = w, 3*y + k - 1 = 3*k for y. 1 Let l(s) = s**2 - 12*s + 6. Let c be l(12). Let r be 10/30 + (c/9 - -1). Solve 2*a + 9*f = 8*f - r, -5*a + 2*f = -4 for a. 0 Let x(k) = -k - 8. Let p be (-52)/(-65) + 44/(-5). Let y be x(p). Solve y = -2*n + 5*i - 3 - 2, -2*n = 5*i + 15 for n. -5 Suppose -131*a + 742 = 218. Solve 3*k - 5 = -n - k, -4*n - 4*k = a for n. -3 Supp
{ "pile_set_name": "DM Mathematics" }
1}. Give prob of picking 1 a, 1 i, and 1 o. 3/91 Two letters picked without replacement from {h: 2, x: 3, t: 5, d: 3}. Give prob of picking 1 x and 1 h. 1/13 What is prob of picking 2 d and 2 n when four letters picked without replacement from zndoozznndwzzdzn? 9/910 Calculate prob of picking 1 o, 1 d, and 2 k when four letters picked without replacement from odookkkkoooood. 96/1001 Calculate prob of picking 2 c and 1 b when three letters picked without replacement from cbccbccccb. 21/40 Four letters picked without replacement from hhphppppb. Give prob of picking 1 b, 1 p, and 2 h. 5/42 Two letters picked without replacement from jmjmmmmjmjm. Give prob of picking 2 j. 6/55 Calculate prob of picking 1 a and 2 j when three letters picked without replacement from {e: 2, a: 1, j: 2}. 1/10 Three letters picked without replacement from {n: 3, i: 2}. What is prob of picking 3 n? 1/10 What is prob of picking 1 z and 1 l when two letters picked without replacement from zftltxxtltxtfzfz? 1/20 Three letters picked without replacement from aaaapldaaddpd. Give prob of picking 2 p and 1 a. 3/143 Calculate prob of picking 1 i, 1 a, and 1 p when three letters picked without replacement from itazpil. 2/35 Three letters picked without replacement from lylllyyl. What is prob of picking 2 l and 1 y? 15/28 Two letters picked without replacement from {y: 5, s: 5, z: 1, q: 1, p: 1, m: 1}. What is prob of picking 2 q? 0 Four letters picked without replacement from {u: 2, k: 17}. Give prob of picking 4 k. 35/57 Calculate prob of picking 1 f and 1 a when two letters picked without replacement from hwghfhhaghhwhw. 1/91 What is prob of picking 1 g and 1 a when two letters picked without replacement from {m: 2, g: 3, o: 2, a: 4}? 12/55 Two letters picked without replacement from jkzszjjzzz. Give prob of picking 1 s and 1 z. 1/9 Two letters picked without replacement from ccqcqfccfccqquxc. What is prob of picking 2 c? 7/30 Four letters picked without replacement from {r: 1, q: 3, v: 2, t: 4}. Give prob of picking 1 r, 2 t, and 1 v. 2/35 Three letters picked without replacement from {t: 5, h: 2, m: 2, n: 4}. Give prob of picking 2 m and 1 h. 1/143 Four letters picked without replacement from {u: 6, y: 1, k: 1, q: 1}. What is prob of picking 3 u and 1 k? 10/63 Calculate prob of picking 2 r and 1 k when three letters picked without replacement from {r: 6, k: 2}. 15/28 Three letters picked without replacement from vvvv. What is prob of picking 3 v? 1 Calculate prob of picking 1 s, 1 u, and 1 o when three letters picked without replacement from ogsssssouuuousgsuoo. 175/969 Two letters picked without replacement from {i: 5, z: 7}. Give prob of picking 1 i and 1 z. 35/66 What is prob of picking 3 e and 1 y when four letters picked without replacement from yeyyeyeeyeeeyeeeeey? 385/969 Calculate prob of picking 2 b when two letters picked without replacement from bfffbjf. 1/21 Four letters picked without replacement from yyyzyzzzzy. What is prob of picking 3 z and 1 y? 5/21 Two letters picked without replacement from ptphnptppopppob. What is prob of picking 1 t and 1 b? 2/105 Four letters picked without replacement from {y: 7, k: 2, d: 1}. What is prob of picking 2 k, 1 d, and 1 y? 1/30 Two letters picked without replacement from {u: 3, g: 3, a: 1}. What is prob of picking 2 u? 1/7 What is prob of picking 4 h when four letters picked without replacement from {w: 1, d: 1, h: 7}? 5/18 Three letters picked without replacement from {u: 5, k: 1, j: 4, v: 1, e: 1}. What is prob of picking 2 j and 1 v? 3/110 Four letters picked without replacement from {r: 8, c: 3}. What is prob of picking 3 r and 1 c? 28/55 Three letters picked without replacement from bugbnbnb. Give prob of picking 2 b and 1 u. 3/28 Two letters picked without replacement from {j: 1, n: 1, h: 3, p: 1, t: 2, o: 3}. Give prob of picking 1 o and 1 t. 6/55 Four letters picked without replacement from rrrrrrrrrr. What is prob of picking 4 r? 1 Calculate prob of picking 4 u when four letters picked without replacement from iiiiiiiiiuiuuuiiuiii. 1/969 Three letters picked without replacement from wycuwwwbwubwcuukw. Give prob of picking 1 u and 2 w. 21/170 Four letters picked without replacement from {b: 12, f: 1}. Give prob of picking 4 b. 9/13 What is prob of picking 2 y when two letters picked without replacement from {z: 1, c: 7, y: 10}? 5/17 What is prob of picking 1 b and 2 v when three letters picked without replacement from {b: 7, o: 2, v: 3, m: 1, c: 2, y: 3}? 7/272 What is prob of picking 3 d when three letters picked without replacement from ddddiidiid? 1/6 Three letters picked without replacement from awgaxaaax. Give prob of picking 1 g and 2 x. 1/84 What is prob of picking 1 o and 1 d when two letters picked without replacement from zzddeeodze? 1/15 Two letters picked without replacement from rmicrrqr. Give prob of picking 1 q and 1 i. 1/28 What is prob of picking 1 p and 1 q when two letters picked without replacement from {x: 2, p: 3, k: 6, q: 5, u: 1}? 15/136 Two letters picked without replacement from zzfzffffffff. Give prob of picking 2 f. 6/11 Four letters picked without replacement from iimdssissiiyimyymii. What is prob of picking 1 m, 1 i, 1 d, and 1 y? 6/323 Four letters picked without replacement from bnbbnbfnbbbbbnfnbbb. What is prob of picking 1 b and 3 n? 10/323 Two letters picked without replacement from rwrwcdjp. Give prob of picking 1 j and 1 c. 1/28 Calculate prob of picking 1 n and 2 s when three letters picked without replacement from sndsdsuss. 5/42 Three letters picked without replacement from nzzivfk. What is prob of picking 1 n, 1 z, and 1 i? 2/35 What is prob of picking 3 q and 1 j when four letters picked without replacement from {q: 3, j: 2}? 2/5 Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, t: 2, b: 6, e: 3, i: 4}. 1/51 Three letters picked without replacement from zlllllzlllllllzl. Give prob of picking 3 l. 143/280 Two letters picked without replacement from {x: 1, o: 1, v: 1, r: 1, p: 8}. What is prob of picking 1 x and 1 v? 1/66 Calculate prob of picking 1 j, 1 s, and 2 d when four letters picked without replacement from djmddjdrmdrjljjsd. 15/476 Three letters picked without replacement from vnsvfhvvn. Give prob of picking 2 v and 1 h. 1/14 Three letters picked without replacement from xjwjxwxxwyjjpwjy. Give prob of picking 3 j. 1/56 What is prob of picking 1 v and 2 w when three letters picked without replacement from wvvwwvvvwvvwvwwv? 27/80 What is prob of picking 1 a and 1 r when two letters picked without replacement from vaamrvrrmvvrr? 5/39 Calculate prob of picking 1 c and 1 v when two letters picked without replacement from hrhvghgghvgggrgc. 1/60 What is prob of picking 3 k when three letters picked without replacement from {k: 9, p: 9}? 7/68 Calculate prob of picking 1 n and 3 s when four letters picked without replacement from {s: 4, w: 4, n: 4, f: 1, o: 3, c: 4}. 16/4845 Two letters picked without replacement from {q: 2, z: 6, b: 3, p: 1}. What is prob of picking 1 b and 1 p? 1/22 Three letters picked without replacement from lvllfllflflllll. What is prob of picking 1 v, 1 f, and 1 l? 33/455 Three letters picked without replacement from dvvdmf. What is prob of picking 1 v, 1 f, and 1 d? 1/5 Three letters picked without replacement from jcecejcccece. What is prob of picking 1 j, 1 c, and 1 e? 12/55 What is prob of picking 1 d and 1 y when two letters picked without replacement from ddddmddddddddddddyd? 17/171 Three letters picked without replacement from {n: 2, r: 6}. What is prob of picking 2 r and 1 n? 15/28 What is prob of picking 2 i and 1 v when three letters picked without replacement from {y: 8, i: 10, v: 1}? 15/323 Calculate prob of picking 2 d and 1 j when three letters picked without replacement from {d: 5, j: 2}. 4/7 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {j: 2, b: 1, v: 3, t: 1, m: 1, r: 3}. 1/55 Three letters picked without replacement from {k: 1, w: 3, s: 1, p: 2}. Give prob of picking 1 k, 1 s, and 1 w. 3/35 Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyoyyyyy. 5/6 What is prob of picking 1 o and 1 l when two letters picked without r
{ "pile_set_name": "DM Mathematics" }
3 + 852*b**2 - 10080*b. -3*b*(b - 40)*(b - 7)*(b + 12) Factor 3*m**2 + 411936*m + 14140939008. 3*(m + 68656)**2 Factor -y**2 - 17*y + 1568. -(y - 32)*(y + 49) Let 4*o**4 + 200*o**3 - 6084*o**2 - 34280*o - 28000 = 0. Calculate o. -70, -4, -1, 25 Factor 2*r**3/7 + 282376*r**2/7 + 2258912*r/7 + 4517760/7. 2*(r + 4)**2*(r + 141180)/7 Determine p so that -9*p**3 + 84*p**2 + 20571*p + 13674 = 0. -43, -2/3, 53 Solve x**3 + 524*x**2 + 83620*x + 3677472 = 0. -226, -72 Solve -20*l**5/3 + 68*l**4 + 9160*l**3/3 - 680*l**2 - 9140*l/3 + 612 = 0. -17, -1, 1/5, 1, 27 Factor 2*b**3 + 2*b**2 - 312*b - 1512. 2*(b - 14)*(b + 6)*(b + 9) Factor -d**3 + 522*d**2. -d**2*(d - 522) Determine f, given that -5*f**5 - 700*f**4 + 9205*f**3 + 135900*f**2 = 0. -151, -9, 0, 20 Suppose -648*r**5 + 4338*r**4 + 18850*r**3 - 114016*r**2 - 94080*r = 0. What is r? -5, -3/4, 0, 56/9 Determine v so that 4*v**4 + 328*v**3 + 1364*v**2 - 13312*v + 18480 = 0. -77, -10, 2, 3 Determine h so that -3*h**3/4 + 21375*h**2/2 - 38084904*h + 76127064 = 0. 2, 7124 Factor 2*h**4 - 462*h**3 + 450*h**2 + 2294*h + 1380. 2*(h - 230)*(h - 3)*(h + 1)**2 Suppose f**4/4 + 29*f**3/2 + 57*f**2/4 = 0. Calculate f. -57, -1, 0 Factor o**3/5 - 1384*o**2/5 - 277*o. o*(o - 1385)*(o + 1)/5 Factor 2*l**2/11 - 1076324*l/11 + 144809169122/11. 2*(l - 269081)**2/11 Factor j**2/2 + 67730*j + 2293676450. (j + 67730)**2/2 Find j such that -2*j**2/9 - 8*j/3 + 5336/9 = 0. -58, 46 Factor 3*z**2/5 + 8937*z/5 - 17886/5. 3*(z - 2)*(z + 2981)/5 Find r such that 30*r**4 - 2336*r**3 - 338*r**2 + 2020*r + 624 = 0. -4/5, -1/3, 1, 78 Let -4509*h**2 - 184875*h - 246 = 0. Calculate h. -41, -2/1503 Suppose -32*d**4/3 + 28496*d**3/3 - 2114630*d**2 - 28496*d/3 + 6343922/3 = 0. What is d? -1, 1, 1781/4 Suppose -1860*v**4 - 11015*v**3/2 - 7005*v**2/2 + 145*v = 0. What is v? -2, -1, 0, 29/744 Factor 4*p**2/9 - 2909576*p/9 + 529102031236/9. 4*(p - 363697)**2/9 Suppose -125*o**4 - 2557225*o**3 + 511460*o**2 + 204580*o = 0. What is o? -20458, -1/5, 0, 2/5 Factor -8*m**3/7 + 520*m**2/7 - 1582*m + 10976. -2*(m - 16)*(2*m - 49)**2/7 Factor -4*u**2 - 8708*u - 43440. -4*(u + 5)*(u + 2172) Factor 2*v**2 - 48988*v + 299978018. 2*(v - 12247)**2 Factor -g**3/2 + 11*g**2/2 + 2613*g. -g*(g - 78)*(g + 67)/2 Factor -4*i**3 + 108*i**2 + 1092*i + 980. -4*(i - 35)*(i + 1)*(i + 7) Determine t, given that -1526*t**4 + 3530*t**3 + 3610*t**2 - 1410*t + 36 = 0. -1, 3/109, 2/7, 3 Find z such that -2*z**5 - 2*z**4 + 32*z**3 - 40*z**2 = 0. -5, 0, 2 Suppose -3*w**5/5 - 72*w**4/5 + 324*w**3/5 - 336*w**2/5 = 0. Calculate w. -28, 0, 2 Find b, given that -3*b**5 + 1515*b**4/2 - 12411*b**3/2 - 8679*b**2/2 + 152673*b/2 + 38430 = 0. -3, -1/2, 5, 7, 244 Find t such that -5*t**4 - 4665*t**3 - 696555*t**2 - 1379135*t - 687240 = 0. -747, -184, -1 Factor -3*k**2 + 18429*k - 239070. -3*(k - 6130)*(k - 13) Let 35*b**3/8 + 33*b**2/4 + 27*b/8 - 1/2 = 0. What is b? -1, 4/35 Factor -24649*r**3/3 - 1922779*r**2/3 + 642928*r - 160212. -(r + 79)*(157*r - 78)**2/3 Factor y**2/4 - 339*y + 7992. (y - 1332)*(y - 24)/4 Let -3*k**5/2 - 5565*k**4/2 - 66453*k**3/2 - 193479*k**2/2 + 33228*k + 99522 = 0. What is k? -1843, -6, -1, 1 Suppose 22445*h**5 + 9380670*h**4 + 18136585*h**3 + 8229260*h**2 - 540780*h + 8320 = 0. What is h? -416, -1, 2/67 Factor -10*f**3 - 816*f**2 + 5608*f - 2112. -2*(f - 6)*(f + 88)*(5*f - 2) Determine y so that 4*y**2/7 + 10816*y/7 + 43200/7 = 0. -2700, -4 Factor -2*m**4/3 - 14984*m**3/3 - 14980*m**2 - 44936*m/3 - 14978/3. -2*(m + 1)**3*(m + 7489)/3 Suppose -3*l**4 - 576*l**3 - 24543*l**2 + 50826*l - 25704 = 0. Calculate l. -126, -68, 1 Factor -5*n**3/4 - 67*n**2/4 - 34*n + 52. -(n - 1)*(n + 4)*(5*n + 52)/4 Find p such that 5*p**4 - 815*p**3 - 8025*p**2 + 48695*p + 55900 = 0. -13, -1, 5, 172 Factor 5*a**4 - 35005*a**3 + 34990*a**2 + 70000*a. 5*a*(a - 7000)*(a - 2)*(a + 1) Solve 3*u**4 - 405*u**3 + 801*u**2 - 399*u = 0. 0, 1, 133 Solve 3*p**2 + 83001*p + 331956 = 0 for p. -27663, -4 What is i in i**2/3 - 55*i + 2384/3 = 0? 16, 149 Factor -o**2/7 + 3405*o/7 + 3406/7. -(o - 3406)*(o + 1)/7 Suppose -a**2/7 + 60440*a/7 - 913248400/7 = 0. What is a? 30220 Find p, given that 4*p**3 - 4628*p**2/7 - 58152*p/7 + 16992/7 = 0. -12, 2/7, 177 Factor -a**2 + 389*a - 22330. -(a - 319)*(a - 70) Solve 2*m**2 + 6816*m + 13624 = 0. -3406, -2 What is b in -b**4 - 45*b**3 + 3*b**2 + 133*b - 90 = 0? -45, -2, 1 Solve 2*a**5 + 78*a**4 - 454*a**3 - 606*a**2 + 452*a + 528 = 0 for a. -44, -1, 1, 6 Let -3*h**3 + 210*h**2 + 8529*h + 8316 = 0. What is h? -28, -1, 99 Find d such that -2*d**5/3 - 86*d**4/3 - 946*d**3/3 - 2266*d**2/3 - 468*d = 0. -27, -13, -2, -1, 0 Factor 2*w**2/7 - 232*w/7 + 960. 2*(w - 60)*(w - 56)/7 Factor -3*b**3/2 + 129*b**2 + 4752*b - 451008. -3*(b - 72)**2*(b + 58)/2 Find t, given that -t**3/2 + 4489*t**2/2 - 71440*t + 570496 = 0. 16, 4457 Factor -5*x**2 + 420690*x - 8849003805. -5*(x - 42069)**2 Determine l so that -2*l**4/11 - 87458*l**3/11 - 956156448*l**2/11 - 956068992*l/11 = 0. -21864, -1, 0 Factor -5*a**4 + 14120*a**3 - 9954590*a**2 - 19951560*a - 9982845. -5*(a - 1413)**2*(a + 1)**2 Factor h**2 + 21818*h + 119006281. (h + 10909)**2 Factor 3*k**2/2 + 987*k/2 + 11817. 3*(k + 26)*(k + 303)/2 Solve 5*f**3 - 3820*f**2 - 58245*f - 140220 = 0 for f. -12, -3, 779 Determine o, given that 2*o**4/7 - 248*o**3/7 + 3126*o**2/7 - 4840*o/7 - 24200/7 = 0. -2, 5, 11, 110 Find x, given that 369*x**4 + 8502*x**3 + 16212*x**2 + 8394*x + 315 = 0. -21, -1, -5/123 Let 55*s**3/4 - 29625*s**2/4 + 24145*s/2 + 5370 = 0. What is s? -4/11, 2, 537 Let -c**2 - 8748*c - 26235 = 0. Calculate c. -8745, -3 What is o in 2*o**2/3 - 1698*o - 5096/3 = 0? -1, 2548 Let 2*a**2 - 18552*a + 166806 = 0. What is a? 9, 9267 Factor -5*i**3 - 245*i**2 - 2075*i - 4875. -5*(i + 5)**2*(i + 39) Factor 4*i**3 + 944*i**2 - 23828*i. 4*i*(i - 23)*(i + 259) Solve -6*x**5/5 - 118*x**4/5 + 112*x**3/5 + 264*x**2 - 2368*x/5 + 128 = 0 for x. -20, -4, 1/3, 2 Factor 4*h**2 - 19500*h. 4*h*(h - 4875) Solve 31*s**5/2 - 907*s**4/2 + 3061*s**3 - 760*s**2 = 0 for s. 0, 8/31, 10, 19 Let 1603*a**3/2 + 28382*a**2 - 16984*a + 288 = 0. What is a? -36, 4/229, 4/7 Factor z**2/3 - 34*z - 8635/3. (z - 157)*(z + 55)/3 Factor -h**3/5 - 4639*h**2/5 + 163524*h/5 - 308484/5. -(h - 33)*(h - 2)*(h + 4674)/5 Find k such that -8*k**5/5 - 14*k**4/5 + 828*k**3/5 - 1774*k**2/5 + 232*k - 192/5 = 0. -12, 1/4, 1, 8 Solve 2508*x**3 - 8980*x**2 + 4416*x - 144 = 0. 2/57, 6/11, 3 What is k in -k**2 - 4971*k - 118728 = 0? -4947, -24 Find a, given that 605*a**5 + 49830*a**4 - 242695*a**3 + 117360*a**2 + 67940*a + 6960 = 0. -87, -2/11, 1, 4 Suppose 2*r**5/3 - 88*r**4/3 + 980*r**3/3 - 2432*r**2/3 + 2266*r/3 - 728/3 = 0. What is r? 1, 13, 28 What is n in -n**5/4 - 2*n**4 + 35*n**3 - 115*n**2/2 - 139*n/4 + 119/2 = 0? -17, -1, 1, 2, 7 Suppose 8*o**4 + 36*o**3 - 336*o**2 - 1844*o - 2184 = 0. What is o? -13/2, -3, -2, 7 Find o such that o**2/8 - 175*o/2 - 351/2 = 0. -2, 702 Suppose -3*x**4 + 333*x**3 - 1614*x**2 + 2556*x - 1272 = 0. What is x? 1, 2, 106 Factor -2*y**4/9 + 3052*y**3/9 - 137218*y**2/9 + 1565840*y/9. -2*y*(y - 1480)*(y - 23)**2/9 Factor 5*s**3 - 327470*s**2 - 5*s + 327470. 5*(s - 65494)*(s - 1)*(s + 1) Factor -h**4/7 - 278*h**3/7 + 4320*h**2/7 - 21850*h/7 + 36625/7. -(h - 5)**3*(h + 293)/7 Suppose 2*a**5/11 - 10*a**4/11 - 160*a**3/11 - 120*a**2/11 + 288*a/11 = 0. What is a? -6, -2, 0, 1, 12 Factor -25*k**2/4 - 70*k + 8625/4. -5*(k + 25)*(5*k - 69)/4 Factor 2*h**2/9 - 862*h/9 - 10208/3. 2*(h - 464)*(h + 33)/9 Factor -4*p**4 + 400*p**3 + 25344*p**2 - 3972672*p + 112698432. -4*(p - 66)**3*(p + 98) Let 4*d**2 + 292*d + 4800 = 0. Calculate d. -48, -25 Factor 10*l**3 - 724*l**2 + 12248*l - 4784. 2*(l - 46)*(l - 26)*(5*l - 2) Factor 22*v**2/7 - 2416*v - 4614/7. 2*(v - 769)*(11*v + 3)/7 Find d, given that -d**5/3 + 29*d**4/9 - 29*d**3/9 - 193*d**2/9 - 56*d/3 - 4 = 0. -1, -1/3, 6 Let -h**3 + 4056*h**2 - 383925*h - 387982 = 0. What is h? -1, 98, 3959 Factor s**3/7 + 1138*s**2/7 + 417121*s/7 + 48384240/7. (s + 240)*(s + 449)**2/7 Find d such that 2*d**4/9 + 34*d**3/9 - 28*d**2/3 - 104*d - 144 = 0. -18, -3, -2, 6 Factor m**3/6 - 1585*m**2/6 + 104808*m - 104544. (m - 792)**2*(m - 1)/6 Factor 166*c**3 - 156*c**2 - 10*c. 2*c*(c - 1)*(83*c + 5) Let -2010*j**3 + 17312*j**2 - 9784*
{ "pile_set_name": "DM Mathematics" }
50/(-300)). -4/85 What is ((-36)/54)/((-90)/225*(-1 + 364/384))? -32 318/12*9*(-26)/(-1521)*-13 -53 Calculate -9*(-4081)/(-693) - -45. -8 What is 10/100*110 + 7*4/28*-20? -9 5895/(-4716)*48/90 -2/3 ((-38)/8 - -5)/(1/2 - 5334/8128) -8/5 Evaluate (27/(-2))/(-9) - (205/(-30))/((-7)/(-63)). 63 Calculate (129 - 171) + (-240)/(4 - -1). -90 What is (3625/10150)/((-320)/84)? -3/32 (-400)/910 - 3/((-252)/24) -2/13 What is the value of ((-3874)/(-1794) + (72/(-69))/(-6))*(-1)/(-7)? 1/3 Evaluate 2/27*(-372 - 103488/(-176)). 16 What is 48/(-264)*13870/(-380)*2/2 + -6? 7/11 -4*3/10 + (-233586)/(-4230) + -54 1/47 What is (46/(-14) + 2/7)*42/(-9)? 14 Calculate 140/25*((-1827)/234 + 5 + 3). 14/13 Calculate -236*(25 + 8910/(-360)). -59 What is the value of (-316 + 309)*37/7? -37 Evaluate ((-14)/42*5)/(105/9387). -149 Evaluate 923/36920 + 834/(-52560). 2/219 Evaluate (-1225)/70*(-8)/14. 10 What is 12 + (-26 - 3738/(-231))? 24/11 What is (122616/21222)/(26/36)? 8 What is 2/13*9542/(-6973)? -4/19 What is the value of (3022 + -1726)*2/(-32)? -81 218/(-27) + 12/162 + (-394)/(-50) -3/25 What is 312/84*588/168? 13 What is 1072246/242991 - (-136)/(-28)? -4/9 Calculate 74 + 0 - (16/(-36))/((-56)/(-72))*-14. 66 Evaluate ((-24)/22)/((-7 + 4)*228/26334). 42 What is the value of (-49 + 5)*621/621? -44 What is (-1 + -5)*(-47 - (-31042)/660)? -1/5 What is (-26 + (-13130)/(-208))/(9/12)*30/(-45)? -33 What is (3/11)/(32994/(-524238))? -13/3 Evaluate (6/(-40))/((-1 + (-185)/(-140))*(-329)/282). 2/5 Calculate (((-48)/20)/(57/(2565/126)))/2. -3/7 Evaluate (7*(-410)/(-46494))/((-2)/((-36)/15)). 2/27 What is (-588)/((-196)/7) + 10? 31 (-7)/(21/(-60)) - 3476/316 - -2 11 What is the value of (-19997)/(-119982) - (0 + 143/(-42))? 25/7 Evaluate 6 + ((-1230)/105 + (-10)/35 - (-166)/28). -1/14 220/1485 + 3 + (6 - (-36)/(-4)) 4/27 What is ((-1)/(-5) - (-9794)/(-41595))*(16 - (-936)/(-60))? -2/141 Evaluate ((-36)/20)/(124/(-20) + 36/18). 3/7 What is the value of (-3)/2*-125*208/7800 - (42 - -1)? -38 What is (81 - (-33187)/(-385))/(-1)? 26/5 What is -3 + 120/(-14) + (-32)/(-1152)*468? 10/7 (1/(-4)*2)/((-41)/(-2624)*96) -1/3 Calculate (-1634)/13072*(-36)/5. 9/10 What is the value of (4/((-2)/(13 - (-425)/(-34))))/((-4)/(-440))? -110 Calculate ((-1991)/(-5973))/((-3)/33). -11/3 What is -16 + 70 - 8194/153? 4/9 What is the value of (5 - (-48)/(-9))*(-5)/(-2) - 2260/(-120)? 18 What is (0 - 6/(-2) - -3) + 404 + -435? -25 What is the value of -27*(-2002)/(-3861) - (0 - 16)? 2 50/70*(95/(-30) + (-69)/(-9) + -8) -5/2 What is the value of ((-118)/(-4))/((-1713)/(-3426))? 59 Calculate 248/(-5)*340/(-680) + -26. -6/5 What is the value of ((-110)/210)/11 + 4264/53382? 1/31 (-22)/24 + 903/68886*89 1/4 What is the value of ((-10)/(-14))/(372/651)*16/15? 4/3 What is the value of ((-549)/(-36) + 10 + -26)/(2/136)? -51 What is the value of 21224/(-162) + (-676)/(-54756) - (-21 + -1)? -109 Evaluate ((11412/(-12680))/((-6)/10))/(15/(-2)). -1/5 What is (1280/(-12))/(-80)*(0 + 0 + 198/4)? 66 What is 13858/(-123)*66/143? -52 Calculate (((-112230)/(-252))/43 - 152/16)*10/(-1). -60/7 ((-948)/(-24) - -4)*((-360)/27 - -14) 29 What is 351/(-1053)*((0 - (1 + -1)) + -93)? 31 What is (-296)/3 - 51/68*(-1328)/(-747)? -100 3 + 102/(-12) - (1 - 2) -9/2 What is (15 + 280/(-24))/(450/4860)? 36 What is the value of (520/(-3))/((-43620)/13086)? 52 What is (86/(-6))/((-5177)/(-15531))? -43 Evaluate ((-84)/(-5))/((-11728)/(-87960)). 126 Calculate (0 - (-12)/10)*(-2368)/5328*9/42. -4/35 Calculate (((-17222)/4578)/79)/((-8)/798). 19/4 (-4)/(-9) + (-141 - -132 - 4443/(-513)) 2/19 Calculate (8 + 522/27)/((-40)/(-780)*13). 41 ((-117)/(-99))/(-13)*-11 + (1 - -6) 8 What is 4704/6048 - 2/18*-479? 54 What is 28 + (1*(19 - 45) - -32)? 34 ((-252)/20)/9*(40 + -25) -21 What is (492/(-574))/((-21)/(-3*588))? -72 Calculate (33/(-55))/(((-21)/(-60))/(231/66)). -6 What is (-12 - -14)*123*(-17 + 808/48)? -41 Calculate ((-141)/(-6))/(258/(-1032)). -94 What is ((-10)/480*(-1 - -3))/(21 + (-405)/18)? 1/36 What is (1342/(-1281) + ((-42)/(-49))/1)/(30/35)? -2/9 What is 16 + -17*(-5684)/(-13328)*(-1 - -4 - -1)? -13 Evaluate (-85)/(355215/(-84))*6/12. 2/199 30*1424/(-534) - (0 + -17) -63 (-3)/(-828)*23 - (-11120)/192 58 -38 + -41 + 130 + (-4)/(7/(-3) - -2) 63 What is ((-1)/58)/((-1959)/56811)? 1/2 What is the value of 6/183 + 1283751/(-22509)? -57 Evaluate ((-15563)/4334)/(1/2) + (5 - -2). -2/11 What is (-1461)/(-21) + 24/(-112)*420/(-63)? 71 Calculate (-6 - (-2379)/455)/((-6)/60). 54/7 What is the value of 679/(-485) + (-59 + 68 - (-4068)/(-530))? -4/53 What is the value of (-2456)/17806 - 770/(-3480)? 1/12 What is the value of 4*(31 + -34)*(-3)/(-684)? -1/19 (-4185)/225*(-15)/9*-2 -62 Evaluate 0 - -1 - (91*20/70 + 4). -29 What is ((-102)/4)/((-95 - -78) + (-369)/(-18))? -51/7 Calculate (-10)/(-425) - (-75958)/138635. 4/7 Evaluate -20 - (-54 + 9) - (-17 + 3). 39 39/(-1674)*-3 + 13587/(-81522) -3/31 What is the value of (-263 + 269 + 7/(14/(-20)))/(1/26)? -104 Calculate (16 - -4) + 2241852/14755*(-5)/38. 2/247 Evaluate (5973/561 + -9)/(36/1530). 70 Calculate ((-56)/3)/(-2)*(-2 - 4) - (-365 - -364). -55 Evaluate 81796/(-715) - -115 - 32/45. -1/9 Evaluate ((4041/(-378) - -8) + 36/(-252))*3*-6. 51 ((-16)/(-12) - 3)/((92/(-2967))/(96/120)) 43 Calculate ((-54)/(-1890))/(137/(-15) + 378/42). -3/14 Evaluate 13 + (-1623)/25 + 24/(-45)*51/340. -52 Evaluate ((10 + 935/(-102))/(-110))/(2/4). -1/66 What is (-6280)/(-96) + 2492/4272? 66 Evaluate (55 - 2 - 5)*10/(-165)*11. -32 -59*1/28 + 49/(30968/790) -6/7 Evaluate 658/(-210)*-3*(-14 - -19). 47 48174/(-2542) - (-13 + -6)/1 2/41 Evaluate (-1 - 9)/160 - (-261324)/3264. 80 9/(-6) - (-74 + 8768/128) 4 What is 1485/15840 - 53/736? 1/46 Evaluate (17*20/(-340))/(3/(-108)). 36 Calculate 2/(-6)*(1 + 45 + -53). 7/3 What is the value of (((-792)/(-252))/(24/14))/11? 1/6 4798/(-199117) + (-7134)/166 -43 What is 40/(-192)*3 - -1? 3/8 What is the value of ((-73)/(-34) - 2)*(8 - (512/40 + -4))? -2/17 Evaluate (3/10)/(4998/1566040). 94 What is the value of ((-6)/((-180)/(-245)))/((-7)/(-42)) - -13? -36 Evaluate (-836 + 804 - 351/(-11))/1. -1/11 88/36 - 2 - 30652/(-1422) 22 Calculate (1 + -1 - 30/240)*(84/27)/(-7). 1/18 Evaluate ((-3 - 17) + (-38409)/(-1947))*(-748)/6. 34 323*24/152 - 41 10 Calculate (2975/340)/((-14)/(-72)). 45 -11 + 0 + (((0/13)/(-4))/8)/1 -11 Evaluate (3848/168 + -23)/(2/14)*(-6)/14. 2/7 Evaluate 843/(-3091) - (-173)/110 - (-1)/5. 3/2 What is the value of (4/16)/(78/520 + (-438)/3120)? 26 What is the value of ((-62316)/1350 - -46)/((38/(-10) - -4)/1)? -4/5 What is (-771)/(-12) - 0 - (-60543)/(-26908)? 62 (-166)/(-16) - (28/(392/(-126)) + 18) 11/8 What is the value of ((-29)/(-10962)*966)/(2/(-18))? -23 What is the value of (5*1/75)/(-1) + 1627920/(-12825)? -127 Calculate ((-31)/((-44330)/(-20111)) - -14)*80/140. -2/55 Calculate (-1225)/(-30) + -6 - (11362/228 - 50). 35 Calculate (-6)/4 - (((-839865)/1350)/(-73) - (-20)/(-2)). -1/45 What is 10*-2*15/10*461/(-19362)? 5/7 Evaluate ((-21)/9)/((-28)/(-126))*(-736)/69. 112 What is the value of ((-498)/(-9) + -24)/((-18)/(-27))? 47 What is (-2086)/(-49) - (-4992)/(-104)? -38/7 What is (-290)/6235 - 96*(-5)/1075? 2/5 Calculate 714/(-10472)*(5 + (-160)/30). 1/44 What is (-29 - (-6273)/216)*(6/(-126))/((-15)/405)? 3/56 2/18 - (62/744)/(6/(-3016)) 42 Evaluate -3 - -12 - ((-945)/(-315) - 1*-41). -35 Evaluate 3*(-238)/(-33) - (20128/52096 + 12/(-16)). 22 Calculate ((-28)/2 + (-1596)/(-112))*1204*(-3)/21. -43 (-19 - 1) + (63 - 2711/63) -2/63 What is the value of 36 + 171/((-29241)/10146)? -70/3 Calculate 17 + (-4)/(3 - -5)*356/2. -72 What is the value of (-8)/10*(777/42 - 18) + -2? -12/5 Evaluate (259200/(-4464) + 58 - 9634/126480) + (-4)/(-30). -1/136 (-735)/(-31752)*6*(-2)/5 -1/18 Calculate -87 + (-576)/(36 - 60). -63 (63/28)/((-2)/8) - 24780/(-18585) -23/3 What is (-60532)/(-814) + 130/(-55)? 72 Evaluate 77*(9417/(-511) + 18). -33 Calculate (3 + (-5 - -2) + (-28)/(-328))*6908/12089. 2/41 What is the value of (14 + (-2829)/205)*(-100)/(-6)? 10/3 What is -4*302/60 + (1050 - 1030)? -2/15 Calculate (13/(2028/(-420)))/(26/(-338)). 35 Calculate ((-6)/(-62))/((-108)/21762). -39/2 What is 402/1608 - 140/(-16)? 9 (7/(-84))/(((-28)/14)/16)*(-12)/(-316) 2/79 Calculate 1 + (13284/
{ "pile_set_name": "DM Mathematics" }
is 10 - 1002000? -1001220 In base 11, what is -2 + 1835? 1833 In base 12, what is 7 - 1? 6 In base 8, what is -1 - -14? 13 In base 10, what is 4 - 160? -156 In base 13, what is -b + 47? 39 In base 12, what is 5 - -36a0? 36a5 In base 14, what is 633c + -4? 6338 In base 9, what is 3 + -24? -21 In base 6, what is 113122 + 2? 113124 In base 5, what is 301331 - -1? 301332 In base 4, what is -31333 - 11? -32010 In base 7, what is 22 + 114? 136 In base 7, what is -332 - -5? -324 In base 13, what is 33 - 42? -c In base 6, what is -12 - -31? 15 In base 10, what is -1 + 456? 455 In base 3, what is 2100111 + -12? 2100022 In base 16, what is 1fb + -2e? 1cd In base 15, what is -4 + 25? 21 In base 5, what is 142 - -34? 231 In base 7, what is -126 - -1? -125 In base 14, what is -9 + -c? -17 In base 3, what is -2 - -12201021? 12201012 In base 7, what is 263 + 14? 310 In base 12, what is 27 - 6? 21 In base 7, what is 225 - -2? 230 In base 8, what is 756 + 7? 765 In base 14, what is 4c - -3? 51 In base 14, what is b - -261? 26c In base 3, what is 22 + 12? 111 In base 3, what is -22 - -10220? 10121 In base 4, what is 232 - 0? 232 In base 6, what is -2322 - 4? -2330 In base 7, what is -1 + 241? 240 In base 15, what is 71 - 1? 70 In base 4, what is 10 + -30? -20 In base 5, what is 44 + 13? 112 In base 6, what is 101 + -2? 55 In base 16, what is -1 + 51? 50 In base 6, what is -3 + -55? -102 In base 16, what is 10 + -16? -6 In base 13, what is 62 - 5? 5a In base 11, what is -28 - 104? -131 In base 7, what is 6502 + 4? 6506 In base 2, what is 10011001010 + 100? 10011001110 In base 9, what is -787 + 2? -785 In base 12, what is 161 - 2? 15b In base 2, what is -100000 - 110000101? -110100101 In base 15, what is 4bd + 4? 4c2 In base 16, what is 5 - a5? -a0 In base 4, what is 13303 + 11? 13320 In base 13, what is 32 - 3? 2c In base 11, what is -4929 + 2? -4927 In base 15, what is d5 - 6? ce In base 12, what is -1752 - -5? -1749 In base 8, what is 1122 - 3? 1117 In base 10, what is 1196 - -1? 1197 In base 4, what is -13 - 0? -13 In base 8, what is 615 - -2? 617 In base 6, what is -42144 - 1? -42145 In base 5, what is 14114 - 0? 14114 In base 13, what is -39 - -a? -2c In base 4, what is -123 + -132? -321 In base 8, what is 631 + 0? 631 In base 12, what is -75 - 4? -79 In base 9, what is 402 + 1? 403 In base 8, what is 13 - 1740? -1725 In base 13, what is -3ba - 19? -406 In base 2, what is -1101 + 10001111? 10000010 In base 10, what is 3 + -116? -113 In base 16, what is -a - -10? 6 In base 7, what is 5364 - 3? 5361 In base 13, what is c + 22? 31 In base 12, what is -38 + -b? -47 In base 10, what is 13312 + 0? 13312 In base 7, what is 150 - -3? 153 In base 10, what is -637 - 5? -642 In base 11, what is 4 - 36? -32 In base 6, what is -15 + -1003? -1022 In base 13, what is -4 + 220c? 2208 In base 9, what is -3 - -133? 130 In base 11, what is -3 + -122? -125 In base 13, what is 5 - -79? 81 In base 16, what is -68 + -4? -6c In base 5, what is -11 - -2240? 2224 In base 5, what is 112 + 21? 133 In base 11, what is a5 - 7? 99 In base 8, what is -237 - 0? -237 In base 7, what is -125 - -501? 343 In base 10, what is -400 + -2? -402 In base 9, what is -4 - -516? 512 In base 7, what is 56 - -53? 142 In base 4, what is 0 + 2021? 2021 In base 7, what is -330 + -1? -331 In base 12, what is baa + 3? bb1 In base 13, what is 4 - -53? 57 In base 2, what is 11 - -1000011? 1000110 In base 4, what is 1 - 110? -103 In base 14, what is 2c - -9? 37 In base 16, what is 14 - -2? 16 In base 8, what is -145 - 133? -300 In base 11, what is -461 - 3? -464 In base 7, what is 15 - -633? 651 In base 8, what is 4 - -477? 503 In base 9, what is -55 + 1? -54 In base 2, what is 11010 - -11000? 110010 In base 16, what is -29f + 4? -29b In base 9, what is -1 + -2407? -2408 In base 2, what is 1011001 + -100010? 110111 In base 7, what is 0 + 421? 421 In base 9, what is 15 + 27? 43 In base 14, what is -17 + -7? -20 In base 7, what is -254 + -110? -364 In base 6, what is 544 + 4? 552 In base 2, what is -100 + -1100? -10000 In base 5, what is 1 - -12440? 12441 In base 13, what is -6c5 + 0? -6c5 In base 16, what is 4 + -40b? -407 In base 10, what is -277 + -21? -298 In base 14, what is 1 - 1c7? -1c6 In base 2, what is 1010000 - 10? 1001110 In base 14, what is -4 + 190? 18a In base 16, what is 4b + -5? 46 In base 11, what is 10 - -4? 14 In base 16, what is 4 - 2a1? -29d In base 15, what is 4 - -38e? 393 In base 15, what is -4 - -198? 194 In base 16, what is -1b5a + 5? -1b55 In base 16, what is -4 + -3b3? -3b7 In base 3, what is 10 + 22? 102 In base 15, what is 25a + -1? 259 In base 5, what is -4 - -310? 301 In base 8, what is -5 + -133? -140 In base 15, what is -757 - 18? -770 In base 4, what is -3 + 23? 20 In base 4, what is -20120 + 23? -20031 In base 8, what is 7 + -175? -166 In base 7, what is 24 + 45? 102 In base 11, what is -20 - -6? -15 In base 6, what is 1 + -13100? -13055 In base 8, what is -1060 + 11? -1047 In base 7, what is -114 + 5? -106 In base 3, what is -1111 + -2112? -11000 In base 2, what is -10 - 10110101? -10110111 In base 7, what is 0 + -3261? -3261 In base 6, what is -1240 + 12? -1224 In base 12, what is 8 + 52? 5a In base 16, what is d + ab? b8 In base 13, what is 93 + 11? a4 In base 3, what is -120 - 22? -212 In base 2, what is -1110100101 + -1011? -1110110000 In base 6, what is 1212 - -31? 1243 In base 5, what is -10443 - 10? -11003 In base 6, what is 3 - 51? -44 In base 14, what is 5 - -9? 10 In base 4, what is -2313 + -23? -3002 In base 5, what is 12234 - -4? 12243 In base 14, what is 0 + -43? -43 In base 13, what is 1 + c13? c14 In base 16, what is -4 - 502? -506 In base 11, what is 108 - -10? 118 In base 11, what is 6 - -75? 80 In base 11, what is 2 - -33? 35 In base 16, what is 1b + -ba? -9f In base 7, what is -2 + 5112? 5110 In base 16, what is 2b8 + 1? 2b9 In base 4, what is -1000 - -2? -332 In base 9, what is -2 - 674? -676 In base 3, what is 1012021 - 10? 1012011 In base 10, what is 1 + 45? 46 In base 2, what is -1000001111010 + 101? -1000001110101 In base 10, what is 10 + -17? -7 In base 2, what is -101101 - -10011? -11010 In base 6, what is 21305 + 5? 21314 In base 14, what is 4 - 17b? -177 In base 9, what is -6 + 86? 80 In base 11, what is -55 + 43? -12 In base 7, what is -5 + 1004? 666 In base 8, what is -6 + 72? 64 In base 3, what is 2000 + 2? 2002 In base 7, what is 1 - 4? -3 In base 7, what is 111 - 1? 110 In base 6, what is -200233 - -4? -200225 In base 7, what is 3 - 354? -351 In base 10, what is 5438 + -2? 5436 In base 7, what is 5 - 64? -56 In base 3, what is 11 + -20001? -12220 In base 3, what is -1102 + 1000? -102 In base 8, what is -23 - -253? 230 In base 7, what is 13440 - 4? 13433 In base 10, what is -3 - -248? 245 In base 11, what is 1a2 + -54? 149 In base 5, what is -22 + -21? -43 In base 12, what is 1515 - -6? 151b In base 16, what is 15c + 6? 162 In base 12, what is 68b - 6? 685 In base 9, what is -17 + -828? -846 In base 11, what is -5 - -142? 138 In base 10, what is -28 + 82? 54 In base 12, what is 6 + 1078? 1082 In base 11, what is 5 - -445? 44a In base 16, what is -5d - -3? -5a In base 10, what is -14 - 111? -125 In base 5, what is 101 - 2332? -2231 In base 16, what is -1c7 - -2? -1c5 In base 15, what is -8b + 5? -86 In base 15, what is 3 + -10c? -109 In base 3, what is 111 + 2211? 10022 In base 13, what is 51 - -4? 55 In base 6, what is 2 - 510? -504 In base 7, what is -40 + 4? -33 In base 9, what is 84 + -248? -154 In base 15, what is 1 - -59? 5a In base 14, what is -13 + -2? -15 In base 6, what is 1405 - 2? 1403 In base 5, what is -100 - -120? 20 In base 11, what is -48 - -15? -33 In base 12, what is 48 - -18? 64 In base 10, what is 250 - 2? 248 In base 13, what is -8597 - 2? -8599 In base 4, what is 1 + 302? 303 In base 8, what is 52 + 22? 74 In base 10, what is -9 + 36? 27 In base 6, what is -102201 - 5? -102210 In base 11, what is 16a - 7? 163 In base 14, what is -497 + -2? -499 In base 13, what is 1cc - 39? 193 In base 3, what is -111 + -2221? -10102 In base 10, what is -1 + -102? -103 In base 5, what is -233 - -313? 30 In base 5, what is -144 + -41? -240 In base 15, what is -177 + -3? -17a In base 4, what is 0 + 2030? 2030 In base 16, what is -3 - -3
{ "pile_set_name": "DM Mathematics" }
*sqrt(2))*-6. -72*sqrt(7)/5 Simplify -3*((-1 + (sqrt(12)/sqrt(4) + sqrt(3) - sqrt(3)) + sqrt(15)/(sqrt(5)*1))**2 + (sqrt(18)/sqrt(6))**2*-4*-4). -183 + 12*sqrt(3) Simplify 4 + (sqrt(1573)*-2 + 1 + 3 + (sqrt(13)*2 + sqrt(13))*-2)**2. -224*sqrt(13) + 10212 Simplify (2*2*(sqrt(77) - ((sqrt(77) - (sqrt(77) - (sqrt(77) - 3*sqrt(77)))) + sqrt(77))))/(sqrt(22)/(sqrt(2) - sqrt(288)*-1)). 104*sqrt(7) Simplify ((sqrt(52) + -1 + (-1*sqrt(156))/sqrt(12))**2 + ((sqrt(325) - (sqrt(325) + 1 - sqrt(325)))*3 - sqrt(325))**2)*5. -310*sqrt(13) + 6615 Simplify (4*(1 + (sqrt(684) - (sqrt(684) + 0))) - (-1 + sqrt(684) + 1)*1)**2. -48*sqrt(19) + 700 Simplify (sqrt(18)/sqrt(162))/(((-1*sqrt(75) - sqrt(75)) + sqrt(75))*5). -sqrt(3)/225 Simplify (((sqrt(42) + (sqrt(42) - (sqrt(42) - sqrt(168))))*-4 - sqrt(42))*-2)/(sqrt(54)/(1*sqrt(441))). 182*sqrt(7) Simplify -5 + 3 + (2 + -1 + sqrt(17) + 2 + sqrt(17))**2 + 5. 12*sqrt(17) + 80 Simplify (1*(sqrt(76) + (-2*sqrt(76) - sqrt(76)) + sqrt(76)))/(sqrt(40)/(sqrt(60)/sqrt(6))). -sqrt(19) Simplify -5 + (5*(2 + sqrt(80)*2 + sqrt(80) + 1)*2)**2. 7200*sqrt(5) + 72895 Simplify -4 + (sqrt(1008) + 2)**2 + -4*sqrt(1008) + -3. 1005 Simplify 1*((sqrt(99) + 1)*4*1*-3*6)**2. 31104*sqrt(11) + 518400 Simplify ((5*(3*sqrt(88) - sqrt(88)))/sqrt(4))/(sqrt(44)/sqrt(4)*3 + sqrt(11)*1*-6). -10*sqrt(2)/3 Simplify (sqrt(133)*2*-5)/sqrt(7) - (sqrt(152) + sqrt(152)*1*-4)/sqrt(8). -7*sqrt(19) Simplify (-5 + (sqrt(147) + 0 + sqrt(147) + sqrt(147) - sqrt(147))*5)**2*-4. -58900 + 2800*sqrt(3) Simplify 0 + (-3*(0 + sqrt(396))*2 + 5)**2*4. -1440*sqrt(11) + 57124 Simplify ((6*((1*sqrt(114) - sqrt(114)) + sqrt(114)))/((-3*sqrt(12))/sqrt(2))*-3)**2. 684 Simplify ((2*sqrt(243)*-3)/(((3*sqrt(63))/sqrt(7) - sqrt(9))*-5))**2. 243/25 Simplify (2 + (2 + sqrt(1539) - sqrt(19)) + sqrt(171)/(sqrt(63)/(sqrt(28)/sqrt(4))))**2. 72*sqrt(19) + 1555 Simplify (sqrt(19) + sqrt(57)/sqrt(48) - (2*sqrt(76))/sqrt(4))**2 - ((sqrt(2299) + sqrt(2299) + -1)**2 + sqrt(19) + 0). -146981/16 + 43*sqrt(19) Simplify ((-4 + -3 + 1*(-5 + sqrt(3)))*-2)**2. -96*sqrt(3) + 588 Simplify ((sqrt(104) - sqrt(104)*5)*6)/(5*(sqrt(8) + sqrt(88)/sqrt(11))). -12*sqrt(13)/5 Simplify ((sqrt(21) + sqrt(525))*1)/((sqrt(150)/sqrt(5))/sqrt(10))*-2*-2. 24*sqrt(7) Simplify (1*(sqrt(363) + -1*(2 + sqrt(363)) - sqrt(363) - (0 + sqrt(363) + 5 + sqrt(363))) + 2)**2. 330*sqrt(3) + 3292 Simplify (-3 + ((sqrt(2448) - 1*sqrt(2448))*1 - (-1 + sqrt(2448) + -5)))*-1. -3 + 12*sqrt(17) Simplify (sqrt(198)*1*3)/((sqrt(66)/sqrt(3))/sqrt(2)) + -3. -3 + 9*sqrt(2) Simplify (sqrt(1100) - (-1 + sqrt(1100)) - (sqrt(11) + (sqrt(66) - (2*sqrt(66) - sqrt(66)))/sqrt(6))) + sqrt(55)/(2*sqrt(80)) + 5. -7*sqrt(11)/8 + 6 Simplify 5*4*(-5*(sqrt(1539) + 0) + -4)**2*5. 36000*sqrt(19) + 3849100 Simplify ((0 + sqrt(1700) - sqrt(1700))*-2)**2 + (sqrt(68) + 3 - (4 + sqrt(68) + sqrt(17))). -sqrt(17) - 1 Simplify -1*-4*5*(sqrt(242) + 1)*-3. -660*sqrt(2) - 60 Simplify -5*(sqrt(80) + sqrt(80)*1 + 0 - (-1 + sqrt(80))*-2) + -5. -80*sqrt(5) + 5 Simplify 6*(((sqrt(1377) + 0 - sqrt(1377)) + -3)**2 + sqrt(1377) - sqrt(1377))*-5. -270 Simplify 5*(((sqrt(189)*1)/(sqrt(448) - (sqrt(448) - -1*sqrt(448))))**2 + 4). 1415/64 Simplify (1*((sqrt(171) - (0 + sqrt(171) - sqrt(171))) + sqrt(171)))**2 + (sqrt(19) + -1 + sqrt(76)/sqrt(4))*-5. -10*sqrt(19) + 689 Simplify (-3 + -1 + 2*((0 + sqrt(304))*-5 + sqrt(304)*-2 + 3))**2. -224*sqrt(19) + 59588 Simplify -3*((2 + sqrt(17)*-2 + -3 + sqrt(612) + 0)*-6 + -4)**2. -29388 + 288*sqrt(17) Simplify 1*(sqrt(19) - (sqrt(19) - (sqrt(209)*2 + sqrt(209))/sqrt(11))) + 3*(-2 + sqrt(19)) + -2*sqrt(76). -6 + 2*sqrt(19) Simplify ((sqrt(847) - (4 + sqrt(847)*1)) + 1*-1*sqrt(847) + sqrt(847))**2 - (sqrt(847) + (sqrt(847) - (-2 + -3*sqrt(847))) + 3). -55*sqrt(7) + 11 Simplify (-1*sqrt(2448))**2*3 + (-5*(sqrt(68) + sqrt(68)*-1 + sqrt(68)))/sqrt(4). -5*sqrt(17) + 7344 Simplify (4*(sqrt(4617) - sqrt(57)))/(sqrt(15)/(-1*sqrt(5))). -32*sqrt(19) Simplify -1*4*(sqrt(22) + sqrt(132)/(1*sqrt(6)))/sqrt(11). -8*sqrt(2) Simplify ((3 + ((-1*sqrt(156))/sqrt(4))/sqrt(3) + -2)*-1)**2. -2*sqrt(13) + 14 Simplify (-3 + sqrt(99))**2*-5 + sqrt(55)/((sqrt(50)/sqrt(5))/sqrt(2)). -540 + 91*sqrt(11) Simplify 1*-1*3*sqrt(6)/sqrt(3) + (-1 + sqrt(2))*-1 + 6*(2 + sqrt(2)). 2*sqrt(2) + 13 Simplify (-1*((sqrt(99) - (1 + sqrt(99))) + 4 - (-3*sqrt(99) + -5 - sqrt(99))))**2. 192*sqrt(11) + 1648 Simplify (sqrt(40)/sqrt(5) - sqrt(8))/sqrt(4) + 5 - ((sqrt(2)*-1)**2 + 4 + 2). -3 Simplify -5*(2 + ((sqrt(891) + 2)*-4)**2). -71610 - 2880*sqrt(11) Simplify (0 + -5 + 3 + sqrt(175) + -6*(sqrt(175)*1 - sqrt(175)))**2. -20*sqrt(7) + 179 Simplify (4 + 4*(0 + sqrt(2299)))**2*-6. -220800 - 2112*sqrt(19) Simplify 5*(sqrt(17) + -4)*-2 + (sqrt(85) + -6*(sqrt(85) + sqrt(85)*-4))/sqrt(5). 9*sqrt(17) + 40 Simplify (sqrt(99)/sqrt(1100))/(sqrt(21)/(sqrt(7) + (sqrt(700) - sqrt(7)) + sqrt(7))). 11*sqrt(3)/10 Simplify (-1*(1*sqrt(1152) + sqrt(1152) + sqrt(1152))/((1*sqrt(44) + sqrt(44))/sqrt(11)))**2. 648 Simplify (-2*sqrt(119)*2*-4)/(sqrt(28)/(sqrt(12)/sqrt(3) + sqrt(4)) - (sqrt(7) - (sqrt(7) - (sqrt(7) - sqrt(28))*3))). 32*sqrt(17)/7 Simplify (sqrt(378)*1 + -6*sqrt(168)/sqrt(4))/(sqrt(150) + sqrt(150)*2 + sqrt(150) + sqrt(6) + sqrt(6) + -4*2*sqrt(6)). -3*sqrt(7)/14 Simplify (sqrt(119) + -3*sqrt(119)*-3)/(sqrt(63)/sqrt(9)*-6). -5*sqrt(17)/3 Simplify (sqrt(7260)*1 + sqrt(60) - -3*sqrt(60)*-2)/(sqrt(300)*-6*6). -sqrt(5)/30 Simplify (-2*sqrt(125)*-2 + sqrt(55)/(sqrt(99)/sqrt(9))*4)**2. 2880 Simplify 5 + 3 + -1 + (3 + sqrt(704)*-2 - sqrt(704)). -24*sqrt(11) + 10 Simplify 6*(-2 + (sqrt(343) + -2 + -3)*2)**2. -2016*sqrt(7) + 9096 Simplify (sqrt(140)*-4)/(sqrt(605)*-1)*6*6*-4. -1152*sqrt(7)/11 Simplify (-1 + ((-3*sqrt(1088))**2 - ((sqrt(170) - 2*sqrt(170))/sqrt(10))**2) + -2)*6. 58632 Simplify (sqrt(243) + (0 + sqrt(243))*-5 + sqrt(27) + 3*sqrt(27)*2)**2*-6. -4050 Simplify (sqrt(96)*1*-4 + sqrt(96))/(-6*(sqrt(363) - (sqrt(363) - -3*sqrt(363) - sqrt(363)))). -sqrt(2)/11 Simplify 6*(2 + (1 + (sqrt(891) - sqrt(891)*1) + -2)**2). 18 Simplify (((-2*sqrt(847))**2 - (1 + sqrt(175))**2) + 4)*2. -20*sqrt(7) + 6432 Simplify -6*(((sqrt(325) - (sqrt(325) - -3*sqrt(325))) + -2)*1 + -2)**2. -17646 - 720*sqrt(13) Simplify ((-4*1*sqrt(24))/sqrt(2))**2 - (-1*sqrt(12) + 4 + sqrt(12))**2*-2. 224 Simplify (1 + sqrt(2156)*-2 - sqrt(2156) - (0 + (sqrt(88)*-2)/sqrt(2) + sqrt(44)))**2. -80*sqrt(11) + 17601 Simplify (-4*(sqrt(104)/(sqrt(200) - (sqrt(200) + sqrt(200)*2 + sqrt(200))) - (sqrt(13)*-1 + -4 + -2)))**2. 896*sqrt(13)/5 + 170368/225 Simplify (sqrt(85) + (-1*sqrt(85) - sqrt(85))*-1 - (sqrt(85) - (sqrt(85) - (sqrt(85) - -2*-2*sqrt(85)))))/((3*sqrt(1000) + sqrt(1000))/sqrt(2)). 3*sqrt(17)/20 Simplify -6*-6*(4*-2*sqrt(3) + (sqrt(300)*1 - sqrt(300)) + sqrt(3) + 2 + 4). -252*sqrt(3) + 216 Simplify ((0 + sqrt(44))**2 + sqrt(11) + (3*sqrt(396))**2 + 0)*-1. -3608 - sqrt(11) Simplify -3 + sqrt(624)/sqrt(3) - (-3*(1 + sqrt(13)) + 0)**2. -129 - 14*sqrt(13) Simplify 5*((sqrt(117)*-1*5)**2 + (sqrt(117) - (sqrt(117) + 0 + -1)) + -2)*2. 29240 Simplify ((1*sqrt(76))**2*3 - (sqrt(76)*-1*-1)**2) + -5. 147 Simplify -1 + ((sqrt(324) + -1*sqrt(324))/(sqrt(243) - (-6*sqrt(243) + sqrt(243) - sqrt(243)) - sqrt(243) - sqrt(243) - sqrt(3)))**2. -1 Simplify (2 + sqrt(85)/(-1*sqrt(5)) - ((sqrt(85)*1)/sqrt(5) + 3 + sqrt(17)*-2))**2. 1 Simplify (-4 + (1*sqrt(1700) - sqrt(1700)) + -4)**2 + (1 + sqrt(1700) + -5 - (-3 + sqrt(1700) + 1*sqrt(1700) + sqrt(1700) - sqrt(1700))**2). -6749 + 130*sqrt(17) Simplify 3*(sqrt(128) + 1) + -1 + (5*sqrt(128))**2. 24*sqrt(2) + 3202 Simplify (2*sqrt(600))/(sqrt(16)/(sqrt(128) + sqrt(2))). 90*sqrt(3) Simplify -2 + (3 + 1 + sqrt(847) + 5*sqrt(847)*-2)*-2. -10 + 198*sqrt(7) Simplify ((sqrt(152)*-2*3 - sqrt(152) - sqrt(152)) + -5*1*sqrt(152))/(2*sqrt(648)*5 - sqrt(648) - sqrt(648)). -13*sqrt(19)/72 Simplify (5 + (3 + sqrt(1573)*1 + sqrt(1573))*2*-5)**2. 11000*sqrt(13) + 629825 Simplify (sqrt(99)/(sqrt(27)/(1*sqrt(3))))**2 + (4*sqrt(176))**2*1. 2827 Simplify (1*((sqrt(77) - sqrt(77)*-1)*-4 + sqrt(77)))/(sqrt(21)/(sqrt(3)*-1*1)). 7*sqrt(11) Simplify -5 + (-2*-4*(-4 + sqrt(288))*-6)**2. -221184*sqrt(2) + 700411 Simplify (1*(-4 + sqrt(77)/(sqrt(121)/sqrt(275))))**2. -40*sqrt(7) + 191 Simplify (sqrt(15)/sqrt(3) - sqrt(5))**2*
{ "pile_set_name": "DM Mathematics" }
3. -13*m**2 - 4 Expand 1 + 2*u**5 - 1 + 2 + (-2*u + 3*u + u)*(-u**2 - 2*u**4 + u**2) + u**3 - u**3 + 2*u**5 - 7*u**2 + 7*u**2 - 13*u**5. -13*u**5 + 2 Expand (0*a**3 + 2*a**4 + 0*a**3)*(3 - 2 + 1) + 32*a - 7*a**4 - 32*a. -3*a**4 Expand -r**5 + 3*r**5 + 0*r**5 + (-r**3 + 3*r**2 - 3*r**2)*(0 - 2*r**2 + 0) + 4*r**4 + 4*r**5 - 4*r**4. 8*r**5 Expand (7*t - 2*t - t - 3*t + t + 4*t + 0*t + 0*t + t + (-2 + 4 - 1)*(-2*t + t + 3*t) - t - 3*t + 3*t)*(2*t**4 + t**2 - t**2). 16*t**5 Expand (-4*v + 4*v + v)*(-4 - 4*v**2 + 4) - 3*v**3 + 0*v**3 + v**3. -6*v**3 Expand (2 - 3*d**4 - 2)*(0*d + 0*d + 2*d) + 2*d**3 - 2*d**3 + 10*d**5. 4*d**5 Expand (13*a + 5*a - 13*a)*(2*a - a - 3*a). -10*a**2 Expand (2 + 4*b**2 - 2)*(2 - 2 + 2) + (-2*b - 2*b + 5*b)*(2*b - 4 + 4)*(2 + 2 - 6). 4*b**2 Expand -7*r + 13*r - 34*r + (-3 + 3 - 1)*(r + 2*r - 4*r). -27*r Expand (-11*q + 10 - 10)*(-2*q - 5*q + 5*q + (-1 + 1 - 2*q)*(-2 + 0 + 0)). -22*q**2 Expand -6*v + 2*v + 2*v + (-v - 4 + 4)*(3 - 6 + 2) + (-4 + 3 + 4)*(v - v - v). -4*v Expand (-5*f**3 + 3*f**3 - 4*f**3)*(-5*f + 1 - 11*f + 8*f)*(-4*f + 6*f + 0*f). 96*f**5 - 12*f**4 Expand (-37 + 48*x**2 + 37)*(-4*x**2 - 6*x + 6*x + (0*x - x + 0*x)*(-2*x + 2 - 2)). -96*x**4 Expand (h**2 - h**2 + 2*h**2)*(0 - 2*h + 0) + 51*h - 6*h**3 - 52*h - 34*h**3. -44*h**3 - h Expand (0 - l + 1 - l)*(-10*l**3 + l**3 + 3*l**2 + 27*l**3). -36*l**4 + 12*l**3 + 3*l**2 Expand (-1 + 2*q + 1 + 3*q + q - 3*q + (-2 + 2 + q)*(1 - 3 + 4))*(3*q - 5*q + 5*q). 15*q**2 Expand (-6 + 6 - 3*a**2)*(2 + 0 - 3)*(1 + 0 - 3). -6*a**2 Expand (n - 5*n - 12*n)*((-4*n + 3*n + 3*n)*(-4 + 0 + 2) - 2*n - 3*n + 6*n). 48*n**2 Expand (2*g - 1 + 1)*(-3*g**2 + 3*g**2 - 4*g**3) + 4*g**4 + 6*g - 6*g + (-3*g + g + g)*(2*g**3 + g**3 - 2*g**3) - g**4 + 6*g**4 - g**4. -g**4 Expand (3*k + 4 - 4)*(-2 + 4 + 0 - 4 + 1 + 4 + 1 + 1 - 4 + (0 - 2 + 0)*(-1 - 2 + 5) - 3 + 5 - 1 + 10 + 0 - 1)*(-3 + 2*k + 3) - 4*k**2 + 2*k**2 + k**2. 41*k**2 Expand (-3*k**2 + 0*k**2 - 2*k**2)*(-1 + k**2 - 2*k + 2*k). -5*k**4 + 5*k**2 Expand (2*k**2 - k**2 - 3*k**2)*((k + 0 + 0)*(-2 + 0 + 0) - k + 0*k - 2*k). 10*k**3 Expand ((0 + 3 - 5)*(-3 + 3 - 2*o) - 2*o + 0 + 0)*(0 + 4 - 1). 6*o Expand (-g + g - 2*g)*(-2 + 2 + 3 + (3 + 3 - 3)*(-1 + 0 + 3) + 0 + 4 - 2)*(-g**3 + 4*g**3 - 5*g**3). 44*g**4 Expand (-h - 2*h + 5*h)*(42*h**2 + 12*h**3 - 42*h**2). 24*h**4 Expand (-2*b**3 + 0*b**3 + 0*b**3)*(7 + 1 - 4). -8*b**3 Expand y**3 + y**2 - y**2 + (0*y**2 + 4*y**2 - 2*y**2)*(-2*y + 5*y - y) + 1 - 2*y**3 + y - y. 3*y**3 + 1 Expand (2*v + 2*v + v)*(-3 + 2 + 2). 5*v Expand (24*y + 0*y - 7*y)*(-2 - y**2 - 4*y**2 + 4*y**2). -17*y**3 - 34*y Expand (s - 4 + 4)*(-4*s**4 + 2*s**4 + 3*s**4) + ((s**2 - s**2 + s**2)*(0*s - 4*s + 5*s) + 0*s**2 + s**3 + 0*s**2)*(s**2 + 3*s**2 - 10*s**2). -11*s**5 Expand (k**4 + k - k)*(2*k - 7*k - k) + (3 - 3 - 2*k**2)*(-2*k**3 - 2*k + 2*k). -2*k**5 Expand 0*a**4 - 5*a**4 + 3*a**4 + (3*a**4 + 3*a**4 - 5*a**4)*(3 - 5 + 0) + a - a + 2*a**4 + (a**2 + a - a)*(-294 + 294 + 56*a**2). 54*a**4 Expand (t - t - 2*t)*(10*t + 4*t**3 - 10*t) - 3*t**4 - 2*t**2 + 2*t**2 - t**4 - t**4 + t**4 + (-3 - 1 + 2)*(t**4 - 5*t**4 + 5*t**4) + 0*t**3 + t**4 + 0*t**3. -13*t**4 Expand (4*j + 4*j + 2*j + 2*j + 2*j - 2*j + (5*j - 2*j - j)*(-3 + 5 - 4) - j + 2*j + 0*j)*(4*j - 2*j + j). 27*j**2 Expand (2 + 3 - 2)*(0*t + t + t)*(-17 + 2 + 8). -42*t Expand (20 + 12 - 10)*(-3*t**2 + 2*t**2 + 2*t**2) - t**2 + 3*t - 3*t - 2. 21*t**2 - 2 Expand ((r - 4*r + 0*r)*(1 + 3*r - 1) - r**2 + r**2 - 3*r**2)*(-2*r**2 - r + r). 24*r**4 Expand (2*a**2 - 3*a**2 + 0*a**2)*(-23*a**2 - 363 - a**3 + 363). a**5 + 23*a**4 Expand (-11 - 20 + 21)*(1 + 2*d + 0 - d). -10*d - 10 Expand (1 + 0 - 2)*((0 - 2 + 4)*(15*s**5 - 11*s + 11*s) - 2*s**5 - s**5 + 5*s**5). -32*s**5 Expand (a**2 - a**2 + a**3)*(2*a**2 + a**2 - 2*a**2) + (-11 + 11 - 2*a**2)*(2*a**3 - a**3 + 0*a**3). -a**5 Expand (q - 1 + 2*q - 2*q)*(31*q**3 - 12*q**3 + 4*q**3 + q**4 + (-q + q + 2*q)*(3 - 3 + q**3)). 3*q**5 + 20*q**4 - 23*q**3 Expand (-8*n - 3*n + 2*n)*(2 + 0 - 6). 36*n Expand (-3*g + 3*g + 2*g)*(-7 + 16 + 1) + 5*g + 0*g - 3*g + (0 + 2 + 0)*(0 + 2*g + 0) + 5*g - 3*g - 3*g. 25*g Expand (725 - 21*q - 725)*(-1 - 5 + 5). 21*q Expand (-2 + 5 - 4)*(19 - 15 + 20)*(1 + 0 + 0*k - 2*k). 48*k - 24 Expand -f**2 - 3*f**3 + f**2 - f**3 + f**3 + f**3 + (3*f + 0*f - f)*(-f - f**2 + f). -4*f**3 Expand -z**3 + 0*z + 0*z + (-2 - 4 + 4)*(-2*z**3 - 2*z + 2*z) + (-6*z + 2*z + 3*z)*(-5 + 5 + z**2). 2*z**3 Expand -u + u - 5*u + (-1 + 4 - 4)*(-2*u + u + 2*u) + (2*u + u - 5*u)*(-4 - 1 + 3). -2*u Expand (4*v**2 - 3*v**2 + v**2)*(3*v**3 + v**3 - 3*v**3)*(2 + 1 - 1). 4*v**5 Expand (-3*p + 2*p + 2*p)*(p**3 + 1 - 1) + 12*p**4 + 30*p**4 - 26*p**4 + 5*p**4 - 3*p**4 + 0*p**4 + (-2*p**2 + 4*p**2 - 3*p**2)*(p**2 + 2*p**2 - p**2). 17*p**4 Expand -y - y + y + (-y + 2*y + y)*(-2 + 1 - 1) + 0*y + 4*y - 3*y + (-4*y - y + 3*y)*(5 - 3 - 3) + 2*y - 3*y - y + 3*y - 8 + 8. -y Expand (3 - 3 + 3*d)*(3 + 3 - 5) - 3*d + 3*d - d + d + 3*d - 3*d + (2*d + 1 - 1)*(-2 + 2 + 1) + 2 - 2 + 2*d + (-3*d + 0*d + 2*d)*(4 - 2 - 1). 6*d Expand (-a + 0*a - a)*(0 - 2*a + 0)*(-18*a - 48 + 48)*(-3*a + a + a) + 3*a**4 - 2*a**4 - 2*a**4. 71*a**4 Expand (f - f - f**2)*(2 + 0 - 4) - 4*f**2 - f**2 - 5*f**2. -8*f**2 Expand (2*x - 3*x + 4*x)*(3 - 2*x + 4*x + 1). 6*x**2 + 12*x Expand (6*f - 3*f - 5 - 5*f)*(-5*f + 11 - 11). 10*f**2 + 25*f Expand (2*o - 4*o + o)*(-1 + 3*o**2 + 1) + (2 - 2 - 2 + (2 + 1 - 1)*(0 - 1 + 0))*(-2*o**3 + 15*o - 15*o). 5*o**3 Expand (1 - z**2 - 2 + 2*z**2)*(2 - 6 - 4). -8*z**2 + 8 Expand (w + 0*w + 0*w)*(4 + 0 - 3)*(-1 + 5 - 3)*(4 - 3 + 5). 6*w Expand v**2 + 0*v**2 + 0*v**2 + (3*v - 2*v + v)*(-1 + 1 + v) - 3 - 20*v + 19*v + 2*v**2 + 0*v**2. 5*v**2 - v - 3 Expand 0*n + 2*n + 0*n - 3*n + 2*n + 3*n + (2 - 1 + 1)*(3*n + 4*n - 6*n) - n + 2*n + 0*n + 2*n + n - n - 45*n + 17*n + 96*n. 77*n Expand (4 - 2*n - 4 - 2)*(-22*n**3 + 10*n**3 - 3*n**3). 30*n**4 + 30*n**3 Expand (3*y + y - 6*y)*(y + 0*y - 3*y + (4 - 3 - 3)*(-4 + 2*y + 4)) + 6*y**2 - 5*y**2 + 5*y**2. 18*y**2 Expand (-2 + 2 + 2)*(2 - 30*n - 3 - 79*n). -218*n - 2 Expand (5*x**2 - 5*x**2 + x**2 + (-3*x + 4*x + x)*(-5 + 5 - x))*(8*x**3 - 53*x**2 + 53*x**2). -8*x**5 Expand (2 - 2*p - 2)*(614 - 33*p**4 - 614). 66*p**5 Expand (3 + 0 - 5)*(-s + 2*s - 3*s)*(25 - 8*s - 25). -32*s**2 Expand (-4*f + 0*f + 3*f)*(-f**3 - f + f)*(3*f + 0 + 0). 3*f**5 Expand (2 + 4 + 0 + 2*q)*(-9 - 8 + 3 + (4 - 3 - 3)*(2 - 2 - 1)). -24*q - 72 Expand -2*q**5 + 4*q**5 - 3*q**5 + (-4*q + 4*q - q**2)*(-2 + 2 + q**3) - 4*q**5 + q**5 + 2*q**5 - 28*q**4 - 25*q**5 + 28*q**4. -28*q**5 Expand (-2*b + 6*b - 2*b)*(-1 + 4 - 4) + 3*b + 4*b - 3*b. 2*b Expand -36*l**4 + 12*l**4 - 50*l**4 + (2*l + 2 - 2)*(1 - 1 - 2*l**3). -78*l**4 Expand (-4*t**2 - 3*t**2 + 6*t**2)*(-101 + 17*t**2 + 101) + 0*t**4 + t**4 - 2*t**4. -18*t**4 Expand (-8*z - 2*z + 11*z)*(-7 + 5 + 4). 2*z Expand 2*g**4 + 3 - 3 + (2*g + 3*g**3 - 2*g)*((-g + g - 2*g)*(-5 + 1 + 3) + 0*g + 3*g - 4*g + 4*g + 12*g - 2*g). 47*g**4 Expand 0*z**4 + 4*z**4 - 2*z**4 + (4*z - 4*z - 5*z)*(3*z**3 - 4*z**3 + 3*z**3) - 5*z**4 + 4*z**4 + 0*z**4 + (5*z**2 - 3*z**2 - z**2)*(2*z**2 + 0*z**2 - z**2). -8*z**4 Expand (-7 - 4 + 0)*(5 + j**5 - 5). -11*j**5 Expand (3 - 3 - 2*i)*(-3 - 5*i - 13 + 8). 10*i**2 + 16*i Expand (u + 9*u + 4*u)*(0 - 2*u + 0)*(-u + 0*u + 0*u). 28*u**3 Expand 2*w**2 - 2*w**2 - 2*w**2 + 0 + w**2 + 0 + (-2*w - w + w)*(w + 3*w - 3*w) - 6*w**2 + 3*w**2 + w**2. -5*w**2 Expand (-f**2 + 11*f**2 - 24*f**2)*(-4*f**2 + f**2 + 6*f**2). -42*f**4 Expand 0*s + 5*s - 3*s + (-2 - 2 + 2)*(-s + 3*s + 0*s). -2*s Expand 26*u**2 + 3*u - 3*u + 6*u**2 + 0*u**2 - 3*u**2 + (1 + 1 + 0)*(u - u + u**2) + 5*u**2 - 2*u**2 - u**2 - 5*u**2 + u**2 + 5*u**2. 34*u**2 Expand (4 - 1 - 5)*(-6*g + 6*g + 2*g**2)*(-1 + 1 - 2*g). 8*g**3 Expand (-4 + 1 + 4)*(-s - 3*s + 2*s) - 1 - 6 + 9 + 4*s. 2*s + 2 Expand (4*w**3 - 2*w**3 + 0*w**3)*(-w - 3*w - 5*w) + (2*w**3 + 0*w**3 - 3*w**3)*(0 - 1 - 1)*(-6*w + 2*w + 2*w). -22*w**4 Expand (5*l**2 - 4*l**2 + l**2)*(l - l + l**2) - 17 + 17 + 10*l**4. 12*l**4 Expand (-1 + 1 - 2*q**2)*(0*q + 0*q - 2*q) - 3*q**2 + 3*q**2 - q**3 - 6*q**2 - 3*q**3 + 19*q**2 + 5*q**3. 5*q**3 + 13*q**2 Expand (-n**3 + 7*n**3 + 0*n**3)*(3 + 1 - 2*n - 3). -12*n**4 + 6*n**3 Expand (4 - 1 - 1)*(-6 + 0 + 9)*(0*q - 3*q + q). -12*q Expand (
{ "pile_set_name": "DM Mathematics" }
ive n*p(i) - 2*u(i). -i - 6 Let y(x) = -x**2 - x + 1. Suppose f - 6*f + 795 = 5*z, 4*z = f + 631. Let b be 1 + z/20 + (-7)/(-70). Let o(r) = 4*r**2 + 4*r - 4. Calculate b*y(g) + 2*o(g). -g**2 - g + 1 Suppose g = -4*g - 15, 0 = -4*p - 3*g + 15. Suppose 13 = -p*f + 7. Let u(k) = 4*k - 4. Let y(h) = 1. Determine f*u(q) - 6*y(q). -4*q - 2 Let k(p) = -34730*p + 2*p**2 - 3*p**2 + 34734*p + 5*p**2. Let a(f) = -12*f**2 - 11*f. Determine 3*a(l) + 8*k(l). -4*l**2 - l Let w be (-2 + (-80)/(-25))/(14/(-2065)). Let v = w + 182. Let q(g) = -5*g**3 - 4*g + 6. Let u(x) = -6*x**3 - 5*x + 6. Determine v*q(j) - 4*u(j). -j**3 + 6 Let c(j) = 91*j**2 + 77*j + 77. Let k(m) = -37*m + 15. Let v be k(4). Let r = v - -139. Let n(s) = 7*s**2 + 6*s + 6. What is r*c(d) - 77*n(d)? 7*d**2 Let j(u) = 11*u**2 + 3*u - 427. Let z(p) = -14*p**2 - 4*p + 428. Determine -5*j(x) - 4*z(x). x**2 + x + 423 Let z(c) = -5581*c**2 + 42*c - 56. Let a(i) = -2790*i**2 + 18*i - 24. Calculate -7*a(p) + 3*z(p). 2787*p**2 Let s(k) = -k - 6. Let x(u) = u - 11. Let t = 143 - 147. Let n(g) = -g + 15. Let f(i) = t*x(i) - 3*n(i). Calculate f(j) + s(j). -2*j - 7 Let g(h) = 26*h - 2. Let w(q) = 28*q - 15. Let x(t) = 33*t - 13. Let p(k) = 4*w(k) - 5*x(k). Determine 5*g(n) + 2*p(n). 24*n Let m(n) = -657*n + 19. Let a(q) = -656*q + 14. What is 5*a(d) - 4*m(d)? -652*d - 6 Suppose 0 = -6*q - 98 + 62. Let z(w) = -12*w**3 + 6*w**2 - 5*w - 6. Let s(l) = 13*l**3 - 7*l**2 + 6*l + 7. Determine q*s(k) - 7*z(k). 6*k**3 - k Let h(y) = 2109*y**2 - 327*y - 4. Let f(p) = -109*p - 1. Calculate 3*f(z) - h(z). -2109*z**2 + 1 Let k(q) = -7*q**2 - 24*q + 4. Let y(z) = 8*z**2 + 25*z - 5. Calculate 5*k(a) + 4*y(a). -3*a**2 - 20*a Let m(b) = 4*b**2 + 5*b + 3. Let d = 2264 - 2259. Let f(t) = -2*t**2 - 2*t - 1. Determine d*f(k) + 2*m(k). -2*k**2 + 1 Let n(y) = -16*y**2 - 110*y + 884. Let k(i) = 3*i**2 + 20*i - 177. Determine -33*k(m) - 6*n(m). -3*m**2 + 537 Let m(n) = -9*n**3 - 6*n**2 - 222*n - 6. Let a(l) = -5*l**3 - 4*l**2 - 219*l - 5. Give -4*a(u) + 3*m(u). -7*u**3 - 2*u**2 + 210*u + 2 Let c = 2200 + -2202. Let r(o) = 1. Let b(j) = j + 12. Give c*r(u) - b(u). -u - 14 Let b(w) = -2093*w - 2094. Let v be b(-1). Let g(h) be the third derivative of -h**6/24 - h**3/3 + h**2. Let q(i) = -i**2 - 1. Give v*g(o) + 2*q(o). 5*o**3 - 2*o**2 Let h(g) = 10*g**2 - 91*g - 11. Let q(t) = -7*t**2 + 90*t + 8. What is -3*h(a) - 4*q(a)? -2*a**2 - 87*a + 1 Let v(z) = -6*z - 4. Let w(c) = 5*c + 3. Let s(u) = 3*u - 38. Let n be s(15). Let a be n*((-8)/(-7))/2. What is a*w(p) + 3*v(p)? 2*p Let v(t) = -13*t**3 + 6*t**2 - 113*t - 30. Let f(u) = 39*u**3 - 16*u**2 + 340*u + 80. Calculate 3*f(n) + 8*v(n). 13*n**3 + 116*n Suppose -5*b - 57 - 1 = -2*r, -r - 16 = 2*b. Let k be ((-64)/b)/4*(-15)/(-6). Let w(v) = -9*v + 6. Let a(h) = 3*h - 2. Determine k*w(t) + 11*a(t). -3*t + 2 Let l(m) be the second derivative of -1/20*m**5 + 0*m**2 - 16*m - 3 + 1/6*m**3 - 1/12*m**4. Let t(a) = -6*a**3 - 2*a**2 + 2*a - 2. Give 2*l(v) - t(v). 4*v**3 + 2 Let u(r) = 8760*r**2 + 28*r - 3. Let i(x) = 4383*x**2 + 12*x - 1. Determine 7*i(b) - 3*u(b). 4401*b**2 + 2 Let r(b) = 78*b**3 + 22*b**2 - 23*b - 25. Let v(u) = -104*u**3 - 30*u**2 + 31*u + 35. Calculate -11*r(s) - 8*v(s). -26*s**3 - 2*s**2 + 5*s - 5 Let q(z) = 11*z - 327. Let o(g) = -15*g + 491. Determine 5*o(p) + 7*q(p). 2*p + 166 Let w(k) = 15*k - 15. Let u(t) be the third derivative of 7*t**4/24 - 7*t**3/6 + 4221*t**2. What is -9*u(v) + 4*w(v)? -3*v + 3 Let f(j) = j**2 + j + 1. Suppose 2*v = 8, -2*v - v + 38 = 2*r. Suppose -r*w = -8*w - 10. Let i(g) = -2*g**w - 3 + 9*g**2 + 5*g + 1 + 7. Determine 5*f(s) - i(s). -2*s**2 Let j(r) be the first derivative of 3/2*r**2 + r - 1. Let n(q) be the second derivative of 13*q**3/6 + 5*q**2/2 + q. Determine -18*j(u) + 4*n(u). -2*u + 2 Let u(n) = n**2 + n + 5. Let x(d) = -d**3 - 84*d**2 + 447*d + 180. Let a be x(-89). Let q(p) = p**2 - p + 1. What is a*q(l) - u(l)? l**2 - 3*l - 3 Let k(d) = 7*d - 11. Let b = -4 - -9. Let r(z) = -3*z + 5. Let j be (-21)/35 - ((-247)/95 + -2 + 2). Determine b*r(s) + j*k(s). -s + 3 Let t(m) = 94*m**3 - m + 5. Let b(z) = 47*z**3 - z + 3. Let q = -44351 - -44346. Give q*b(x) + 3*t(x). 47*x**3 + 2*x Suppose 13*p - 646 = 56. Suppose -41*m - 234 = -p*m. Let j(s) = -10*s**2 - 9. Let d(f) = -f**2 - 1. Determine m*d(c) - 2*j(c). 2*c**2 Let i(z) = 5*z + 1. Let q(s) = -1. Suppose -3*a + 35*p = 32*p + 18, 2*a - 5*p + 24 = 0. What is a*q(h) + i(h)? 5*h + 3 Let j(m) = 4*m**2 - 2*m + 8. Suppose 2*b - 777 = r, -5*r - 2328 = b + 1546. Let u = r - -788. Let c(p) = -9*p**2 + 4*p - 17. What is u*j(z) + 6*c(z)? -2*z**2 - 2*z + 2 Suppose 188*l + 90 = 193*l. Let m(k) = -k**3 - 53*k**2 + k + 50. Let a be m(-53). Let b(g) = -3*g**3 - 6*g + 6. Let r(h) = -h + 1. Give a*b(w) + l*r(w). 9*w**3 Let g(o) = 19*o**3 + 41*o**2 - 58*o + 9. Let x(k) = -9*k**3 - 19*k**2 + 28*k - 4. Determine -6*g(w) - 13*x(w). 3*w**3 + w**2 - 16*w - 2 Let y(d) = 878*d**2 - 22*d - 5. Let i(f) = 877*f**2 - 28*f - 6. Give -4*i(u) + 5*y(u). 882*u**2 + 2*u - 1 Let d(o) = -o - 4. Suppose -37 = -g + 15*w, -11 - 2 = -g + 3*w. Let n(m) = 2*m - 12. Let k(u) = -5*u + 35. Let p(f) = -3*k(f) - 8*n(f). Give g*d(q) - 3*p(q). -4*q - 1 Let i(j) be the first derivative of -j**2/2 + j - 10722. Let g(s) = -42*s + 12. Determine -g(c) + 12*i(c). 30*c Let h(u) = -19*u**3 + 4*u**2 - 4*u - 5. Suppose 5*c - 5*r - 25 = 0, c - 1 = 3*r + 6. Let o(g) = -38*g**3 + 7*g**2 - 7*g - 9. Give c*o(m) - 7*h(m). -19*m**3 - 1 Let l(q) = -q + 3. Let v(z) = 23*z - 11. Let n(k) = 16*k - 7. Let o(p) = p**2 - 3*p - 11. Let t be o(6). Let c(g) = t*n(g) - 5*v(g). What is -4*c(w) + 9*l(w)? 3*w + 3 Let h(i) = -25*i - 3. Let g(l) = -49*l - 8. Give 2*g(v) - 5*h(v). 27*v - 1 Let k(g) = 35*g - 68. Let v(s) = 13*s - 1. Determine k(l) - 3*v(l). -4*l - 65 Let a(q) = 3*q**2. Let h(t) = -2*t**2 + 1. Suppose 0 = 4*f - 8. Suppose 0 = -f*b + u + 15, 2*b + 15 = 3*b - 2*u. Calculate b*h(n) + 4*a(n). 2*n**2 + 5 Let l(z) = 3*z - 3. Let k(m) = 2*m + 179. Let g(r) = 2*r + 153. Let c(h) = -7*g(h) + 6*k(h). Give -4*c(v) - 3*l(v). -v - 3 Let o(m) = 1. Let h(i) = i + 18. Let x(t) = t**2 + 15*t + 4. Let r be x(-14). Let k be h(r). Let u(z) = -1 - 6 + k + z. What is -o(c) - u(c)? -c - 2 Let m(y) be the third derivative of y**4/24 + 369*y**2. Let x(i) = -5*i - 6. Let n(c) = 6*c + 4. Let g(d) = -4*n(d) - 3*x(d). What is -g(l) - 5*m(l)? 4*l - 2 Let v(l) = 5*l**2 - l - 2. Let j(g) = 21 - 5*g**2 - 20 + 4*g**2. Suppose 2*w + 2 = -0*w. What is w*v(q) - 4*j(q)? -q**2 + q - 2 Let p(d) = 5*d**3 - 4*d**2 + 245*d - 2. Let u(r) = -r**3 + r**2 + 1. Give -p(f) - 4*u(f). -f**3 - 245*f - 2 Let f(b) = -30*b**3 + 3*b**2 + 4*b - 6. Let d(w) = -149*w**3 + 15*w**2 + 21*w - 31. Determine 2*d(c) - 11*f(c). 32*c**3 - 3*c**2 - 2*c + 4 Let p(t) = 3864*t. Let b(x) = -7*x. Calculate 168*b(n) + 3*p(n). 10416*n Let d(r) be the second derivative of 2*r**3/3 + 7*r**2 - 2*r + 986. Let b(y) = 9*y + 27. What is 2*b(a) - 5*d(a)? -2*a - 16 Let h(m) = 37*m**2 + 22*m + 8. Let c(t) = -43*t**2 - 27*t - 7. Give -2*c(q) - 3*h(q). -25*q**2 - 12*q - 10 Let i(m) = -3*m**2 + 3*m - 1. Let f(h) = -14*h**2 + 2*h - 1. Let x(u) = -18*u**2 + 2*u - 1. Let s(k) = -4*f(k) + 3*x(k). What is 5*i(j) + 8*s(j)? j**2 - j + 3 Let l(i) = 126*i + 5550. Let w be l(-44). Let s(c) = -c**3 + c - 1. Let o(u) = 3*u**3 + 3*u - 3. Calculate w*s(k) - 2*o(k). -12*k**3 Let g(b) = b**2 + b - 1. Let r(d) = -d**2 - d + 9. Let y(a) = 2*a**2 + 3*a + 29. Let o(u) = -4*r(u) + y(u). What is -21*g(s) + 3*o(s)? -3*s**2 Let y(o) = 4*o**3 - 5*o**2 - 2*o - 1. Let k(q) = -431167*q**3 + 1 + 862331*q**3 - 431165*q**3 + q. What is 2*k(m) + y(m)? 2*m**3 - 5*m**2 + 1 Let n(m) = 18*m - 10398. Let w(z) = -5*z + 2600. Calculate 6*n(k) + 22*w(k). -2*k - 5188 Let h(c) = 6600*c + 8. Let p(r) = 6598*r + 6. Determine 3*h(n) - 4*p(n). -6592*n Let p(t) = -11328*t**2 - 32*t + 4. Let f(c) = 22657*c**2 + 56*c - 7. What is 4*f(x) + 7*p(x)? 11332*x**2 Let q(i) = -17*i**3 - 23*i - 28. Let g(b) = 3*b**3 + 4*b - 1. Give -5*g(w) - q(w). 2*w**3 + 3*w + 33 Let g(m) = -4*m**2 + 2*m - 85. Let i(u) = -6*u**2 + 4*u - 177. Determine 5*g(x) - 3*i(x). -2*x**2 - 2*x + 106 Let f(w) = -510*w**2 - 119*w - 119. Let d(a) = -4*a**2 - 62*a - 357. Let p be d(-7). Let v(b) = -17*b**2 - 4*b - 4. Determine p*v(r
{ "pile_set_name": "DM Mathematics" }
k(d) = -d. Let u(i) = -i**3 + 4*i**2 + 6*i - 3. Let v be u(5). Let y(h) be the second derivative of 1/2*h**3 + 0*h**v - 2*h + 0. Determine y(k(p)). -3*p Let r(d) = 5*d**2. Suppose -p + 3 + 6 = 0. Let g(m) = -9 + p + 2*m**2. What is r(g(c))? 20*c**4 Let n(t) = 7*t. Let y(k) = k**2 - k. Let b(x) = -2*x**2 - 5*x. Let s(c) = -b(c) + 5*y(c). Determine n(s(f)). 49*f**2 Let h(j) be the third derivative of -j**7/5040 + j**5/10 - j**2. Let g(a) be the third derivative of h(a). Let z(b) = -5*b. Calculate g(z(r)). 5*r Let w(p) = -5*p. Let c(b) = 3*b + 5*b - 3*b - b. Let s(n) = -n. Let l(z) = -c(z) - 2*s(z). Give l(w(o)). 10*o Let t(x) = -8*x**2 + 13*x + 5*x - 18*x. Let r(f) be the first derivative of f**2/2 + 1. What is r(t(b))? -8*b**2 Let r(b) = 101*b. Let z(k) = -2*k**2. Calculate r(z(g)). -202*g**2 Let y(w) = -31*w**2 + w. Let m(a) = 4*a. Give y(m(r)). -496*r**2 + 4*r Let x(j) = -4*j - 24. Let a(z) = -7*z - 11. Let k(n) = 6*n + 10. Let p(r) = -5*a(r) - 6*k(r). Let h(u) = 24*p(u) - 5*x(u). Let o(t) = 2*t**2. Give o(h(g)). 32*g**2 Let r(l) = -3*l. Let g(q) = -q**2 + 5*q - 5*q. What is g(r(s))? -9*s**2 Let r(c) = 2*c**2. Let o(x) be the second derivative of x**5/60 - 5*x**2/2 - 7*x. Let d(a) be the first derivative of o(a). Give r(d(n)). 2*n**4 Let o(q) = 3*q**2. Let p(h) = 3*h**2 - 2*h + 2. Let w(b) = -7*b**2 + 5*b - 5. Let l(n) = 5*p(n) + 2*w(n). Give o(l(c)). 3*c**4 Let l(h) = -28*h**2. Let a(b) = 10*b**2. Calculate l(a(z)). -2800*z**4 Let d(n) = 3*n + 4*n - 2*n. Let l(r) = r - 2. Let k(o) = 5 + 2*o - 3*o - 3*o + 2*o. Let z(x) = -2*k(x) - 5*l(x). Calculate z(d(t)). -5*t Let w(o) = 2*o. Let g be ((-15)/(-10))/(3/4). Suppose 0 = -g*p + 1 + 17. Let x(h) = -p + 6*h - 4*h + 9. Give x(w(c)). 4*c Let h(i) = i. Suppose 4*c = 5*c - 6. Let q(m) = m + 13*m**2 - c*m**2 - m. Determine h(q(t)). 7*t**2 Let z(q) = q. Let g(n) = 16*n - 7. Let d(f) = 5*f - 2. Let c = 11 - 23. Let t be ((-3)/9)/(2/c). Let o(l) = t*g(l) - 7*d(l). Give o(z(r)). -3*r Let a(y) = -157*y**2. Let w(j) = -j. Give w(a(m)). 157*m**2 Let x(p) = -11*p. Let k(v) = 16*v**2. What is k(x(i))? 1936*i**2 Let h(f) = f**3 - 2*f**2 + 2*f - 1. Let v be h(2). Let d(s) be the second derivative of 1/3*s**v + 0*s**2 + 2*s + 0. Let g(b) = 3*b. Calculate d(g(k)). 6*k Let d(n) = n. Let c(x) be the first derivative of 0*x - 3/2*x**2 + 2. Calculate c(d(f)). -3*f Let s(x) = 5*x. Let a(w) = 16*w**2. Give s(a(g)). 80*g**2 Let w(f) = -5*f**2. Let b(u) = -819*u**2. Determine b(w(r)). -20475*r**4 Let y(c) = -7*c**2. Let z(l) = 22*l**2 + 8*l. What is z(y(u))? 1078*u**4 - 56*u**2 Let g(a) be the third derivative of 1/24*a**4 + a**2 + 0*a**3 + 0 + 0*a. Let w(m) be the first derivative of m**3/3 - 1. Give w(g(l)). l**2 Let g(z) = 4*z. Let i(n) = -541*n. What is g(i(m))? -2164*m Let z(a) = -2*a - 35. Let j(p) = 30*p. Give z(j(t)). -60*t - 35 Let f(d) = -d - 6. Let h be f(-6). Let r(j) = h*j - j - j. Let s(q) = -2*q - 4*q + 3*q. What is r(s(z))? 6*z Let j(g) = -g. Let v(d) = -7*d**2 + d + 3. Let r(n) = 7*n**2 - n - 2. Let o(m) = -3*r(m) - 2*v(m). What is o(j(l))? -7*l**2 - l Let m(t) = t**2 - 2*t + 2*t. Let n(f) be the first derivative of -f**3/3 + 7. What is m(n(j))? j**4 Let m(x) = 2*x + 2989. Let i(s) = -s**2. Give m(i(j)). -2*j**2 + 2989 Let s(v) = 3*v. Suppose -m = -0*m. Let g = 3 - m. Let o(k) = -3*k - k + g*k. Calculate o(s(t)). -3*t Let a(w) = 6*w**2. Let y(f) be the first derivative of f**5/120 - 2*f**3 + 10. Let k(t) be the third derivative of y(t). Give a(k(p)). 6*p**2 Let b(s) = 23*s - 9*s - 17*s. Let r(w) = 5*w**2. Calculate b(r(t)). -15*t**2 Let t(p) = 4*p**2. Let l(u) = 5*u**2 + 3*u - 3. Let o(j) = -14*j**2 - 8*j + 8. Let n(y) = 8*l(y) + 3*o(y). Give t(n(r)). 16*r**4 Let h(f) = f + 7. Let r be h(-4). Let l(g) = 5*g**2 - r*g**2 - 4*g**2. Let q(m) = m. What is l(q(t))? -2*t**2 Let p(n) = 2*n. Let v(t) = 6*t**2 + 12. Determine p(v(c)). 12*c**2 + 24 Let u(w) = 3*w**2. Let q(h) be the second derivative of -2*h**3/3 + 15*h. Determine q(u(f)). -12*f**2 Let a(c) = c**2. Let l(x) = 1799*x**2. Determine a(l(z)). 3236401*z**4 Let f(y) = -y**2 - 2*y. Let w(d) = -6*d**2 - 11*d. Let c be ((-11)/2)/(4/(-16)). Let s(h) = c*f(h) - 4*w(h). Let u(x) = x**2. Calculate u(s(t)). 4*t**4 Let t(x) = -x**2. Let m(v) be the second derivative of v**4/24 + v**2 - 7*v. Let j(o) be the first derivative of m(o). Calculate j(t(l)). -l**2 Let n(r) = r. Let p be -1 - (16/2)/(-2). Let g(t) be the second derivative of 3*t + 0*t**p + 0 + 1/6*t**4 + 0*t**2. Give g(n(j)). 2*j**2 Let j(l) = -l**2 - 4*l. Let i(s) = s. Suppose 0 = -3*d - 0*d + 3*r - 9, 1 = 5*d - r. Let z(w) = d*j(w) + 4*i(w). Let a(g) = -2*g. Give a(z(h)). 2*h**2 Let o(y) = -y**2. Let h(c) = -17*c**2 - 11*c + 11. Let w = -13 + 2. Let x(l) = -9*l**2 - 6*l + 6. Let b(u) = w*x(u) + 6*h(u). Give b(o(z)). -3*z**4 Let i(n) = 2*n**2. Let c(l) = 62*l. What is c(i(j))? 124*j**2 Let u(t) = 305*t**2. Let g(f) = f**2. Calculate u(g(p)). 305*p**4 Let a(k) = 559*k. Let o(c) = -2*c**2. Give a(o(p)). -1118*p**2 Let o(u) = -u**2. Let x(d) be the first derivative of d**2/2 - 4. Calculate x(o(a)). -a**2 Let n(a) = -9*a. Let c(z) = -6*z**2 - z. Determine c(n(g)). -486*g**2 + 9*g Let o(w) = -5*w. Let r(j) = 25*j**2 + 5*j. Let s(z) = 13*z**2 + 3*z. Let f(b) = -3*r(b) + 5*s(b). Determine o(f(c)). 50*c**2 Let p(b) = b. Let n(q) be the second derivative of 11*q**4/12 + 43*q. Calculate p(n(a)). 11*a**2 Let v(z) = -3*z**2. Let g = 7 + -3. Let y(c) = -c - g*c + 4*c. What is v(y(r))? -3*r**2 Let r(a) = 25*a - 1. Let f(g) = 4*g**2 + 2*g + 2. Let b(p) = 17*p**2 + 9*p + 9. Let k(t) = -2*b(t) + 9*f(t). What is k(r(h))? 1250*h**2 - 100*h + 2 Let t(k) = 2*k - 2. Let m be t(2). Let a(s) = s**2 + s**m + 0*s**2. Let y(j) = 4*j. Determine a(y(u)). 32*u**2 Let o(z) = -z**2 + 7*z - 7. Let b(j) = j**2 - 3*j + 3. Let c(h) = 7*b(h) + 3*o(h). Let u(k) = 2*k - 5*k + 4*k + k. Calculate u(c(l)). 8*l**2 Let v(x) = x**2. Suppose s = -s - 10. Let n(a) = a**2 + 5*a. Let l be n(s). Let j(y) = y + y + l*y. Calculate v(j(m)). 4*m**2 Let t(w) = -w. Let i(o) = 12*o + 6. Let r(c) = 2*i(c) + 2*t(c). Let a(v) = 9*v + 5. Let h(s) = -12*a(s) + 5*r(s). Let u(m) = -7*m**2. Give u(h(b)). -28*b**2 Let g(f) = 4*f. Let j(m) = m**2 + 2*m - 2. Let s(w) be the first derivative of -2*w**3 - 11*w**2/2 + 11*w + 2. Let l(z) = -22*j(z) - 4*s(z). Determine g(l(n)). 8*n**2 Let n(o) = o + o + 0*o. Let g(w) = -30*w**2 + 27*w - 27. Let f(y) = -y**2 + y - 1. Let r(s) = 54*f(s) - 2*g(s). Give n(r(d)). 12*d**2 Let z(q) = -q + 1. Let n(p) = 2*p - 3. Let m(x) = n(x) + 3*z(x). Let l(u) be the second derivative of -u**4/12 - 2*u. What is m(l(r))? r**2 Let u(m) = 316*m. Let b(l) = -l. Give b(u(q)). -316*q Let g(j) = j. Let x(u) = -4 + 45*u + 9*u**2 + 4. Let q(k) = -45*g(k) + x(k). Let w(i) = 2*i**2. Determine q(w(a)). 36*a**4 Let l(x) = -42*x - 15. Let y(k) = 6*k + 2. Let c(j) = 2*l(j) + 15*y(j). Let w(g) = 2*g. Determine c(w(o)). 12*o Let t(f) = 3*f. Let m(s) = s. Let i be 2*(-9)/15*-5. Suppose i + 9 = -z. Let d(q) = z*m(q) + 4*t(q). Let h(b) = b**2. Calculate d(h(x)). -3*x**2 Let t(y) = 34*y. Let g(x) = -107*x. Give g(t(k)). -3638*k Let l(u) = 2*u**2. Let i(m) = -4*m - 1497. Give i(l(w)). -8*w**2 - 1497 Let p(y) = 15*y + 33. Let q(l) = -l - 2. Let v(g) = -4*p(g) - 66*q(g). Let w(f) = 2*f**2 + 2*f**2 - f**2 - 2*f**2. What is v(w(k))? 6*k**2 Let n(p) = p + 8. Let u be n(-6). Let z(d) = u*d + 4*d - 3*d - 4*d. Let a(q) = 6*q + 5. Let o(y) = y + 1. Let t(s) = a(s) - 5*o(s). Give z(t(h)). -h Let s(u) = 2*u. Suppose w = 3*m, w - 2 = -3*m + 10. Suppose 3*t + w = g + 5*t, 7 = 2*g - t. Let d(v) = -4 - v + g. What is d(s(h))? -2*h Let u(f) = -3*f**2. Suppose 4*g - 6*w + 35 = -3*w, -4*w = 4*g. Let z = g + 9. Let y(d) = 4*d + 4*d - 6*d - z*d. What is u(y(h))? -12*h**2 Let n(c) = 3*c**2. Let f(r) = 792*r + 1. What is n(f(j))? 1881792*j**2 + 4752*j + 3 Let q(t) = t. Let x(s) be the third derivative of 17*s**5/60 + 8*s**2. What is x(q(d))? 17*d**2 Let f(k) = 1914*k - 1914*k - 2*k**2. Let d(y) = -2*y. What is f(d(h))? -8*h**2 Let m(l) = -400*l. Let v(x) = 103*x. What is m(v(h))? -41200*h Let y(u) = 5*u**2 + 4*u. Let a(h) = -6*h**2 - 5*h. Let s(q) = -4*a(q) - 5*y(q). Let l(z) be the third derivative of -z**5/20 + z**2. Give l(s(t)). -3*t**4 Let g(c) = 2*c. Let u(b) = -133*b**2 + 3. Calc
{ "pile_set_name": "DM Mathematics" }
Collect the terms in -2*z + 2*z - 200*z**2. -200*z**2 Collect the terms in 4*f**3 + 2*f**3 - 2*f**3 - 6*f**3. -2*f**3 Collect the terms in 33*i**3 + 35*i**3 - 77*i**3. -9*i**3 Collect the terms in -22*i + 6*i**3 - 125*i**2 + 125*i**2 + 22*i. 6*i**3 Collect the terms in 5*w - 2*w - 3*w - 2*w. -2*w Collect the terms in 2*o + o - 7*o + 4*o + o. o Collect the terms in 12*u**2 + 9*u - 9*u - 2*u**2. 10*u**2 Collect the terms in -4 + 4 - 12*s + 27*s. 15*s Collect the terms in -w + 3976 - 3976. -w Collect the terms in 13*q**2 - 20*q**3 + 19*q**3 - 13*q**2. -q**3 Collect the terms in -364*z**3 + 182*z**3 + 183*z**3. z**3 Collect the terms in -5*q**3 + 4187*q**2 - 4187*q**2. -5*q**3 Collect the terms in 114 - 2*p - 18 + 91. -2*p + 187 Collect the terms in 183*d - 183*d - 2*d**2. -2*d**2 Collect the terms in -73837*r + 4*r**3 + 73837*r. 4*r**3 Collect the terms in 3*x - 3*x - x + 20. -x + 20 Collect the terms in -5602 + 3*q + 5602. 3*q Collect the terms in -10*r**2 + 11*r**2 - 13*r**2. -12*r**2 Collect the terms in 16*f - 16*f + 13*f**2 - 2*f**2. 11*f**2 Collect the terms in -21*z + 10 - 6 - 6 + 4*z. -17*z - 2 Collect the terms in 364*n + 2*n**2 - 364*n - n**2 + 2*n**2. 3*n**2 Collect the terms in p - 29881 + 29881. p Collect the terms in -2*m**2 - 2*m**2 + 13*m**2. 9*m**2 Collect the terms in 65*j**2 + 0*j - 4*j + 3*j + 125*j**2. 190*j**2 - j Collect the terms in -81 - 43015*i + 43018*i + 81. 3*i Collect the terms in -23 - 17 - 15 + 3*x**2 + 55. 3*x**2 Collect the terms in -133*o - 7*o**3 + 133*o. -7*o**3 Collect the terms in 93039 - 93039 + g**2. g**2 Collect the terms in -205*h**2 + 412*h**2 - 210*h**2. -3*h**2 Collect the terms in -10*x**2 + 0*x**2 + 0*x + x. -10*x**2 + x Collect the terms in 112*v**2 + 114*v**2 - 225*v**2. v**2 Collect the terms in 0*w**2 - w**2 + w**2 + w**2. w**2 Collect the terms in 176 - 311 - v + 135. -v Collect the terms in 27*d**3 - 69*d**3 + 27*d**3 + 19*d**3. 4*d**3 Collect the terms in -144*r**2 - 148*r**2 + 290*r**2. -2*r**2 Collect the terms in 10*h**2 - 6*h**2 + 0*h**2. 4*h**2 Collect the terms in 63*u**3 + 66*u**3 + 64*u**3 - 262*u**3 + 68*u**3. -u**3 Collect the terms in -40*a - 40*a + 3*a. -77*a Collect the terms in 60*k + 24*k - 81*k - 2 + 2. 3*k Collect the terms in 1147*q**2 - 1147*q**2 - q**3. -q**3 Collect the terms in -18*p**3 - 16*p**3 + 39*p**3 - 16*p**3. -11*p**3 Collect the terms in -5*p**3 - 32 - 13*p**3 + 32. -18*p**3 Collect the terms in -4*x**3 + 3*x**3 - 257 + 257. -x**3 Collect the terms in 3*l**2 + 8*l**2 + 2*l**2 - 11*l**2. 2*l**2 Collect the terms in 346 - 346 - 21*p. -21*p Collect the terms in 7 + 61*j**2 - 4 - 3. 61*j**2 Collect the terms in 197*q - 197*q + 62*q**2 - 123*q**2 + 60*q**2. -q**2 Collect the terms in 17*l**2 - 17*l**2 - 4*l**2 - 11*l**2. -15*l**2 Collect the terms in -5*o + 4*o + 20*o - 2*o - 9*o. 8*o Collect the terms in -14*a**2 + 66*a + 66*a - 132*a. -14*a**2 Collect the terms in 0 + 0 - 384*j**2. -384*j**2 Collect the terms in 3*u**3 + 13 - 13. 3*u**3 Collect the terms in -10*w + 3*w + 7*w - 18*w**3 - 7*w**3. -25*w**3 Collect the terms in 12*s**3 + 6*s**3 + 4*s**3 - 21*s**3. s**3 Collect the terms in -5*q + 5*q + 39*q**3 + 0*q - 36*q**3. 3*q**3 Collect the terms in -10 - z + 5 + 1 - 16. -z - 20 Collect the terms in 670*y**3 - 99*y**3 + 318*y**3. 889*y**3 Collect the terms in 5*w**2 - 26*w**2 + 38*w**2. 17*w**2 Collect the terms in 60 - 133 + 32*t + 73 - 30*t. 2*t Collect the terms in -49*n + 87*n - 47*n. -9*n Collect the terms in -24*h - 20*h + 6*h**3 + 44*h. 6*h**3 Collect the terms in 36*p + 0*p + p - 3*p. 34*p Collect the terms in 2 + 9*q - 2 - 3*q. 6*q Collect the terms in 10*r**3 + r**3 + 3*r**3. 14*r**3 Collect the terms in -3*r - 13*r + 30*r - 6*r. 8*r Collect the terms in 12*t**2 - 15*t**2 + 3*t**2 + t**3. t**3 Collect the terms in 7*b**3 - 5*b**3 + 0*b**3 - b**3. b**3 Collect the terms in 41300*i + 41308*i - 82609*i. -i Collect the terms in -30*c**2 + 26*c**2 - 48*c**2. -52*c**2 Collect the terms in -9*g + 2*g + 10*g. 3*g Collect the terms in 73 - h**3 + 90 + 94 - 257. -h**3 Collect the terms in 10*r**3 + 1 - 1 - 12*r**3 - 20*r**2. -2*r**3 - 20*r**2 Collect the terms in 63*g**2 + 8*g**2 - 72*g**2. -g**2 Collect the terms in -26 - 47*o + 26. -47*o Collect the terms in -3*a**3 - 392 + 392. -3*a**3 Collect the terms in -15*t**2 - 2 + 2 - 8*t**2. -23*t**2 Collect the terms in -m**2 - 8*m**2 + 10*m**2. m**2 Collect the terms in 1 - 6 + 2 + 3*s**3. 3*s**3 - 3 Collect the terms in 6 - 78*j**2 + 4 - 10. -78*j**2 Collect the terms in p**2 + p**2 + 9*p**2 + 5*p**2 - 14*p**2. 2*p**2 Collect the terms in -4 + 5 - 1 - 14*o. -14*o Collect the terms in -3*m**2 - m**2 - 7*m**2 - 8*m**2. -19*m**2 Collect the terms in x + 5*x + 3 + x - 2*x. 5*x + 3 Collect the terms in -14*o**3 - 491*o + 491*o. -14*o**3 Collect the terms in 2 - 20*h + 23*h - 4. 3*h - 2 Collect the terms in 6 + 2 - 5 - 4*q**2 - 3. -4*q**2 Collect the terms in -27 - 41 - 15*u + 68. -15*u Collect the terms in 1044*g**3 + 1040*g**3 - 2080*g**3. 4*g**3 Collect the terms in 96*z + 235 - 100*z - 235. -4*z Collect the terms in 0 - 4 + 4 - 9*c + 19*c. 10*c Collect the terms in -180*f + 85*f + 90*f. -5*f Collect the terms in 4*v + 12*v + 6*v - 5*v - 3*v. 14*v Collect the terms in 11 - 2*x + 14 - 17 - 8. -2*x Collect the terms in -2*q**3 + 60686*q - 60686*q. -2*q**3 Collect the terms in 0 - 16 + 16 + 83*a**2. 83*a**2 Collect the terms in 0*v - 11*v + 16*v. 5*v Collect the terms in 105*q**2 + 117*q - 5*q**2 - 117*q. 100*q**2 Collect the terms in -104*n + 38*n + 0*n**2 + 2*n**2. 2*n**2 - 66*n Collect the terms in 781 - 1554 + 773 + 5*p**2. 5*p**2 Collect the terms in 0*t**3 - t**3 - 4*t**3 + 2*t**3. -3*t**3 Collect the terms in -18*m**3 + 65*m**3 + m**2 - m**2. 47*m**3 Collect the terms in -37*k + 139*k - 15*k + 136*k. 223*k Collect the terms in 9 + 14*g**2 - 26 + 17. 14*g**2 Collect the terms in -823*t**3 + 402*t**3 + 411*t**3. -10*t**3 Collect the terms in 3 - 2 + 2 - 3 - 2*h**2. -2*h**2 Collect the terms in 7*z - 3 - 8*z - 50 + 1. -z - 52 Collect the terms in -3*s**2 - 30*s**2 + 13*s**2. -20*s**2 Collect the terms in -6*q**2 + 6*q + q - 7*q. -6*q**2 Collect the terms in -23 + 23 + 42*r. 42*r Collect the terms in -32*c**2 + 22*c**2 + 17*c**2 + 6*c. 7*c**2 + 6*c Collect the terms in -9*c + 10*c - 15*c. -14*c Collect the terms in 2*u + 5*u - 7*u**2 + 8*u**3 + 7*u**2. 8*u**3 + 7*u Collect the terms in -11*k**3 + 4*k**3 + 9*k**3 + k - k. 2*k**3 Collect the terms in -1348952 + 1348952 + 4*g**2. 4*g**2 Collect the terms in -13*m**2 - 2 + 41*m - 41*m. -13*m**2 - 2 Collect the terms in -9*f - 21*f - 13*f + 10*f. -33*f Collect the terms in 3*p - 58*p**3 - 3*p + 0*p + 57*p**3. -p**3 Collect the terms in -w + 3 - 33 + 2*w + 2*w. 3*w - 30 Collect the terms in -648*v**3 + 311*v**3 + 302*v**3. -35*v**3 Collect the terms in 439 + 9*t**3 - 218 - 221. 9*t**3 Collect the terms in 2*s**3 + 4 - 33696*s**2 - 4 + 33696*s**2. 2*s**3 Collect the terms in -6*k**3 + 12*k**3 - 2*k**3 - k**3 - 4*k**3. -k**3 Collect the terms in c**2 - 5*c**2 + 4*c**2 - 6*c**3. -6*c**3 Collect the terms in -15*b**3 + 41*b**3 + 30*b**3 + 9*b**3. 65*b**3 Collect the terms in -128 + 8*s**3 + 128. 8*s**3 Collect the terms in -40 + 40 - 137*v. -137*v Collect the terms in 30*h**2 - 53*h**2 + 20*h**2 + 2 + 19*h**2. 16*h**2 + 2 Collect the terms in 202*s**3 - 167*s**3 - 65*s**2 + 65*s**2. 35*s**3 Collect the terms in -4 - 266*u + 4 + 226*u. -40*u Collect the terms in 6*s**3 - 6*s**3 + 8*s**3 + s**3. 9*s**3 Collect the terms in -8*m - 107*m**2 + 106*m**2 + 8*m. -m**2 Collect the terms in -2*n**2 - 42*n**3 - 29*n**3 + 0*n**2. -71*n**3 - 2*n**2 Collect the terms in 9 + 0 - 9 + 256*f. 256*f Collect the terms in -5 - 2*u**2 - u**2 + 1 + 2. -3*u**2 - 2 Collect the terms in 77*i**3 - 38*i**3 - 2*i**2 - 31*i**3. 8*i**3 - 2*i**2 Collect the terms in 29*v - 4*v + 2*v. 27*v Collect the terms in 36*r**3 - 11*r**3 + r**2 - 6*r**2. 25*r**3 - 5*r**2 Collect the terms in -7*b + 20*b - 4*b - 10*b. -b Collect the terms in 0*f**3 + 14*f - f**3 - 20*f + 6*f. -f**3 Collect the terms in 17*r - 3*r - 10*r. 4*r Collect the terms in -3 + 6*m + 2*m + 16*m. 24*m - 3 Collect the terms in a + 13*a - 3*a. 11*a Collect the terms in 24*v**3 + 63*v - 63*v. 24*v**3 Collect the terms in 18*t - 71*t + 23*t + 22*t. -
{ "pile_set_name": "DM Mathematics" }
rt g. 5040*g**3 Let r(o) = 4 - 2*o + 7 + 15. Let p be r(11). What is the third derivative of -8 + 11*x**4 - 8*x**2 + p + 4 wrt x? 264*x Let g(o) = -o**2 - 9*o - 6. Let h be g(-3). Let k = h + -7. What is the first derivative of k*n + n + 7 + 3 wrt n? 6 Suppose -y - 4*z - 1 = 4*y, -3*z - 21 = -3*y. Find the second derivative of -y*j**3 + 50*j**4 + 9*j + 3*j**3 - 6*j wrt j. 600*j**2 Let h(q) = 8*q**4 + 2*q**2 + 6*q - 139. Let p(j) = 7*j**4 + 3*j**2 + 5*j - 138. Let l(y) = 5*h(y) - 6*p(y). Find the first derivative of l(n) wrt n. -8*n**3 - 16*n Let h(s) = 235*s**3 + 8*s**2 - 24*s. Let k(y) = 79*y**3 + 3*y**2 - 8*y. Let o(n) = 3*h(n) - 8*k(n). What is the second derivative of o(f) wrt f? 438*f Let k(h) be the third derivative of 22 - 1/24*h**4 - h**2 + 0*h + 3/20*h**5 + 7/2*h**3. Differentiate k(t) wrt t. 18*t - 1 Let q(b) be the first derivative of 7*b**6/15 - 2*b**3/3 + 15*b + 12. Let i(g) be the first derivative of q(g). What is the second derivative of i(z) wrt z? 168*z**2 Suppose -25*s = -22*s - 21. What is the first derivative of 4 - s*c + 6 - 2*c - 2 wrt c? -9 Let l(x) be the first derivative of 496*x**7/7 + 98*x**3 - 11. What is the third derivative of l(w) wrt w? 59520*w**3 Let q(c) be the first derivative of -65*c**2 + 92*c - 13. Find the first derivative of q(s) wrt s. -130 Let o(i) = 31*i**3 + 2*i**2 - 4*i - 72. Let u(p) = -90*p**3 - 5*p**2 + 11*p + 217. Let t(w) = -8*o(w) - 3*u(w). What is the second derivative of t(j) wrt j? 132*j - 2 Let f(p) = -50*p**3 - 42*p. Let o(q) = -14*q - 17*q**3 - 137 + 137. Let m(z) = 3*f(z) - 10*o(z). What is the second derivative of m(x) wrt x? 120*x Let j(x) = -5*x**2 + 16*x + 1. Let v be j(3). Let h be 7 + (1 - 2)/1. What is the second derivative of -v*a**5 + a + a - h*a wrt a? -80*a**3 Let t(b) be the third derivative of 167*b**7/210 - 19*b**4/24 - b**3/6 + 67*b**2 - 3. Find the second derivative of t(f) wrt f. 2004*f**2 Let n(x) be the first derivative of 5 + 19/4*x**4 + 0*x + 0*x**2 - 8/3*x**3. What is the third derivative of n(o) wrt o? 114 Let q(o) be the second derivative of 6*o + 0*o**4 - 1/2*o**3 + 0*o**2 + 0 - 3/10*o**5. Find the second derivative of q(c) wrt c. -36*c What is the second derivative of 17*z**4 - 255*z**4 - 11*z**4 + 17*z**4 - z**3 + 18 + 4*z - 71*z**4 wrt z? -3636*z**2 - 6*z Suppose -4*c = -k - k - 22, -5*k - 35 = -5*c. Let b = c + 5. Find the second derivative of b*p**4 - 10*p**4 - 3*p + 3*p**3 - 3*p**3 wrt p. -12*p**2 Let a = 58 + 10. What is the second derivative of -2*n + 32*n**3 - a*n**3 + 29*n**3 wrt n? -42*n Let n(z) = 78*z**3 + 68*z + 3. Let t(s) = s**3 - 1. Let o(r) = -n(r) - 3*t(r). What is the second derivative of o(f) wrt f? -486*f Let t(c) = c**3 + 3*c - 1. Let o(g) = -221*g**3 + 128*g**2 + 6*g - 2. Let j(p) = o(p) - 2*t(p). Find the third derivative of j(x) wrt x. -1338 Let w(g) be the first derivative of -14*g + 1 + 0*g**3 + 0*g**2 - 23/4*g**4. Differentiate w(n) wrt n. -69*n**2 Let q(z) be the first derivative of -29*z**4/12 - 19*z**2 + 26*z - 34. Let d(j) be the first derivative of q(j). Differentiate d(m) wrt m. -58*m Let g(j) be the third derivative of j**9/504 + j**7/15 - j**5/30 - 47*j**4/8 + 17*j**2 - 7. What is the third derivative of g(r) wrt r? 120*r**3 + 336*r Let w(o) = 5*o**2 - 4*o**2 + 2*o + 0*o - 5. Let m be w(-4). Find the second derivative of m*d - 5*d**2 - 7*d + d**2 wrt d. -8 Let d be (44/(-110))/(2/(-30)). What is the first derivative of 8 + d - 10*n**4 + 0 wrt n? -40*n**3 Let a(j) = -8*j**4 + 8*j**3 - 3*j**2 + 246*j + 1. Let q(z) = z**4 + z**2 + 2*z - 1. Let s(n) = a(n) + 3*q(n). What is the second derivative of s(g) wrt g? -60*g**2 + 48*g What is the second derivative of -9 - 139*c**5 + 2*c - 7283*c**4 - 9*c + 7283*c**4 wrt c? -2780*c**3 Suppose -12 = -2*s + 24. Suppose -4*q - y + s = 0, 6*q - 17 = q - 4*y. Find the third derivative of -j**5 + 6*j**2 + 16*j - 16*j + 6*j**q wrt j. 300*j**2 Suppose -t = -2 - 2. Suppose -5*g - 16 = 5*s - 51, -4*s + 2*g + t = 0. Find the second derivative of 5*k - 2*k + 0*k - 7*k**s wrt k. -42*k Let j(b) be the third derivative of 7*b**6/120 - 3*b**5/20 + 49*b**4/8 - 160*b**2. What is the second derivative of j(k) wrt k? 42*k - 18 Let b(r) be the first derivative of -3*r**3 - 5*r**2 + 87*r - 306. What is the derivative of b(u) wrt u? -18*u - 10 What is the third derivative of -133 - 134 + 267 + 48*w**3 + 73*w**2 wrt w? 288 Let z(o) = o**2 - 4*o - 7. Let r be z(7). Find the second derivative of 1 - 2 + 1 - 4*v**4 - r*v wrt v. -48*v**2 Let d(r) be the second derivative of -361*r**3/6 + 265*r**2 + 2*r - 2. What is the derivative of d(b) wrt b? -361 Suppose 0*h - 16 = -4*h. Suppose -5*r - 5*a - 5 = 0, 0 = r - 5*a - h - 19. Find the second derivative of 3*c**r + c - 4*c**3 - c + c wrt c. -6*c Let o(t) = -113*t**3 - 2*t**2 - 10*t - 5. Let c(u) = -57*u**3 - u**2 - 6*u - 3. Let j(p) = -5*c(p) + 3*o(p). Find the third derivative of j(y) wrt y. -324 Let s = 43 - 31. Suppose d - s = -7. What is the derivative of -4 + 5 - 4*w + d wrt w? -4 Find the third derivative of -3*z**4 + 3 - 14*z**3 + 15*z**2 + 6*z**3 + 5*z**4 - z**3 wrt z. 48*z - 54 Let d(i) be the first derivative of 157*i**4/4 - 51*i**2/2 - i - 58. What is the second derivative of d(k) wrt k? 942*k Let i = 59 - -11. Let k(f) = -f**3 + f + 1. Let h(z) = 2*z**4 - 14*z**3 + 14*z + 12. Let o(j) = i*k(j) - 5*h(j). What is the first derivative of o(p) wrt p? -40*p**3 What is the derivative of -61 - 1239*y**3 + y + 1349*y**3 - y wrt y? 330*y**2 Let h(u) = -133*u**2 + 111*u. Let v(l) = 44*l**2 - 37*l. Let t(x) = -4*h(x) - 11*v(x). What is the second derivative of t(o) wrt o? 96 Let t(c) = c**3 + 7*c**2 + c + 9. Let j = 18 - 25. Let m be t(j). Differentiate -3 - 7*h - m + 3*h - 2*h with respect to h. -6 Let v(u) be the third derivative of -37*u**7/210 - u**5/4 + u**3/2 - 172*u**2. What is the third derivative of v(i) wrt i? -888*i Let p(n) = -n**4 + n**3 - 1. Let l(w) = w**4 + 4*w**3 + 17. Let z = -19 - -15. Let s(u) = z*p(u) + l(u). What is the derivative of s(m) wrt m? 20*m**3 Suppose 5*z + 5 = 0, -z + 2 - 3 = 4*p. Let q(d) be the third derivative of 2/3*d**3 + 8*d**2 + p*d + 0*d**4 + 0*d**5 - 1/15*d**6 + 0. Differentiate q(n) wrt n. -24*n**2 Let i(r) be the third derivative of r**7/35 + 13*r**5/30 - 107*r**4/6 + 27*r**2 + 9. Find the second derivative of i(x) wrt x. 72*x**2 + 52 Let c(x) be the second derivative of 3*x**8/112 + 4*x**5/15 - 9*x**2 + 16*x. Let f(r) be the first derivative of c(r). Find the third derivative of f(t) wrt t. 540*t**2 Let b(k) = k - 7. Let p(g) = 21*g**2 + 3*g - 199. Let w(v) = -3*b(v) + p(v). Differentiate w(s) with respect to s. 42*s Let c be 1 + 10/2*(-14)/(-35). Let o(g) = g**3 - 6*g**2 + 5*g + 7. Let l be o(5). Find the first derivative of -2*u - 1 - u + c*u - l*u**4 wrt u. -28*u**3 Let o(c) be the second derivative of 207*c**5/20 + c**4/4 + c**3/3 - 18*c - 1. What is the third derivative of o(i) wrt i? 1242 Find the third derivative of 27*n + 9*n**2 + 21*n + n**3 - 89*n + 9*n**6 + 16*n + 20*n wrt n. 1080*n**3 + 6 What is the third derivative of -9*r + 13*r - 142*r**3 + 2*r**2 + 96 - 4*r + 0*r**2 wrt r? -852 Suppose 2*f + f - 60 = 0. Suppose c = -3*i + 2*c + 16, -c - f = -4*i. Find the third derivative of 9*d**2 + i*d**6 + 12*d**3 - 12*d**3 + 3*d**6 wrt d. 840*d**3 Let d be -3*-3*(-6)/(-27). What is the third derivative of 235*i**2 - 94*i**2 - 4*i**5 - 106*i**d wrt i? -240*i**2 Find the third derivative of -162*p**3 - 4*p**2 + 5*p**2 + 41*p**3 + 4 wrt p. -726 Let n(c) be the second derivative of c**9/14 + c**5/15 - 23*c**2 - 27*c. Let r(o) be the first derivative of n(o). What is the third derivative of r(a) wrt a? 4320*a**3 What is the third derivative of -19*x - 17*x + 39*x - 9*x**2 - 67*x**4 wrt x? -1608*x Let l be ((-4)/3)/(4/(-9)). Find the second derivative of 24*b**3 - l*b - 11*b + b - 16*b wrt b. 144*b Let j(b) be the third derivative of -b**7/210 + b**6/15 - 23*b**5/60 + b**3/3 + 106*b**2. What is the third derivative of j(f) wrt f? -24*f + 48 Suppose -1 - 1 = -y. Let f(o) = 3*o**2 - 3*o**y + 4 - 3*o**2 + 2*o**2. Let h(k) = -4*k**2 + 11. Let l(q) = -7*f(q) + 2*h(q). Differentiate l(n) wrt n. -2*n Find the first derivative of -14*c**2 + 44*c**3 - 18*c**3 + 0*c**2 - 66 - 28*c**3 wrt c. -6*c**2 - 28*c Let d(q) = -28*q - 10. Let
{ "pile_set_name": "DM Mathematics" }
5. Let h be g(-5). Factor 0 + h*j + 1/2*j**2. j**2/2 Let z(i) be the third derivative of -i**9/30240 + i**8/5040 + i**7/2520 - i**6/180 - i**5/15 + 5*i**2. Let d(f) be the third derivative of z(f). Factor d(n). -2*(n - 2)*(n - 1)*(n + 1) Factor 0*t**2 - 6/7*t**3 - 12/7 + 18/7*t. -6*(t - 1)**2*(t + 2)/7 Let g(d) be the first derivative of -d**3/18 - d**2/2 - 4*d/3 - 23. Factor g(b). -(b + 2)*(b + 4)/6 Let q(i) be the second derivative of -i**6/10 + i**5/10 + i**4/3 - i**3/3 - i**2/2 + 20*i. Factor q(a). -(a - 1)**2*(a + 1)*(3*a + 1) Let b(u) be the first derivative of -u**6/33 - 12*u**5/55 - 6*u**4/11 - 16*u**3/33 + 9. What is o in b(o) = 0? -2, 0 Let s be 1 + -1 - (-15 + 13). Factor -b**s - 8*b**2 - 3*b**3 - 3 + 0*b**2 - 9*b. -3*(b + 1)**3 Let q = 501/625 - 1/625. Determine p so that -16/5*p**4 - 16/5*p**2 - q*p - 4/5*p**5 - 24/5*p**3 + 0 = 0. -1, 0 Suppose 2/3*u + 9*u**5 + 0 - 9*u**4 - 3*u**3 + 7/3*u**2 = 0. Calculate u. -1/3, 0, 2/3, 1 Let r be (-4)/(-5)*(-85)/(-34). Factor 0*i**3 + 0*i + 3/4*i**r - 3/4*i**4 + 0. -3*i**2*(i - 1)*(i + 1)/4 Let h(m) be the first derivative of -2/9*m**2 - 2/45*m**5 - 10/27*m**3 + 0*m - 2/9*m**4 + 2. Factor h(i). -2*i*(i + 1)**2*(i + 2)/9 Let v(c) = -6*c**2 + 27*c + 12. Let i(l) be the second derivative of 0 - 53/6*l**3 + 13/12*l**4 - 23/2*l**2 - l. Let d(z) = 6*i(z) + 11*v(z). Factor d(k). 3*(k - 2)*(4*k + 1) Suppose 4*d - 2*s = 4, s - 7 + 1 = -2*d. Let j(b) = 3*b**2 - b - 2. Let x(g) = -g**2 + 1. Let h(o) = d*j(o) + 5*x(o). Factor h(n). (n - 1)**2 Let m(i) be the first derivative of -i**6/27 + 2*i**5/9 - i**4/6 - 2*i**3/3 - 31. Factor m(t). -2*t**2*(t - 3)**2*(t + 1)/9 Suppose 0 = -2*t - t - 651. Let u = t - -1955/9. Let -2/9*z**2 + 0*z + u = 0. What is z? -1, 1 Let d(w) be the second derivative of -3*w**5/100 - w**4/10 - w**3/10 + 7*w. Determine a, given that d(a) = 0. -1, 0 Let v(u) be the third derivative of -u**6/80 + u**5/24 + u**4/24 - 20*u**2. Find s such that v(s) = 0. -1/3, 0, 2 Let n(q) = q**3 - 7*q**2 + 7*q + 7. Let d(o) = -6*o**2 + 6*o + 6. Let w(m) = 4*d(m) - 3*n(m). Factor w(j). -3*(j - 1)*(j + 1)**2 Factor 32*s + 8*s**2 + s**3 - 36*s - 5*s**3. -4*s*(s - 1)**2 Suppose -3*v - 26 = 22. Let z be v/(-32)*(-1 + 1). Factor 0*a**2 - 2/5*a**3 + z + 6/5*a**4 + 0*a. 2*a**3*(3*a - 1)/5 Suppose -4 = q - 7. Let k = 8 - q. Solve -3*f + 3*f**2 + 3*f**3 + 29*f**4 + f - 12*f**2 - 21*f**k = 0 for f. -1/3, -2/7, 0, 1 Let c(g) be the first derivative of -2*g**3/33 + g**2/11 - 6. Factor c(n). -2*n*(n - 1)/11 Let i(t) = -t**3 - t**2 + 2*t. Let c be (-6 + 2)*2/4. Let d be i(c). Factor -15/2*h**4 + 7/2*h**3 - 1/2*h**2 + 9/2*h**5 + d*h + 0. h**2*(h - 1)*(3*h - 1)**2/2 Suppose -9*j - 14*j + 46 = 0. Factor -4/3*p + 2/3*p**j + 2/3. 2*(p - 1)**2/3 Let v(c) be the third derivative of c**5/12 - 5*c**3/6 + 10*c**2. Factor v(j). 5*(j - 1)*(j + 1) Let i(b) = b - 2. Let x be i(3). Let c(k) = -k - 1. Let o(j) be the first derivative of j**4/4 + j**2/2 + 2*j + 1. Let u(l) = x*o(l) + 2*c(l). Solve u(s) = 0. -1, 0, 1 Factor 0*i - 2/9*i**2 + 0. -2*i**2/9 Let u(g) be the third derivative of g**5/12 - 10*g**4/3 + 160*g**3/3 - 17*g**2. Solve u(n) = 0. 8 Let c(b) = -5*b**4 - b + b**2 + 6*b**4 - 1 - 2*b**4. Let z(f) = 38*f**4 - 82*f**3 + 52*f**2 - 12*f - 4. Let m(q) = -4*c(q) + z(q). Find d, given that m(d) = 0. 0, 2/7, 2/3, 1 Factor -x**3 + 2*x**4 - 4*x**5 - 2*x**2 + 5*x**5 + x**4 - x**4. x**2*(x - 1)*(x + 1)*(x + 2) Factor -1/5*g**4 + 0*g - 1/5*g**2 + 0 + 2/5*g**3. -g**2*(g - 1)**2/5 Let h(k) be the third derivative of 0*k**4 + 0*k + k**2 - 1/120*k**5 + 0 + 0*k**3 - 1/240*k**6. Suppose h(n) = 0. What is n? -1, 0 Let h(d) = -d**2 + 15*d + 2. Let s be h(15). Factor -1/4*x + 1/2*x**s - 1/4*x**3 + 0. -x*(x - 1)**2/4 Let x(w) be the first derivative of 1/16*w**4 + 0*w**2 - 4 + 0*w + 1/12*w**3. Factor x(i). i**2*(i + 1)/4 Let i = -65/4 - -49/3. Let u(b) be the first derivative of -2 + 0*b**2 + 1/15*b**5 + i*b**4 + 0*b**3 + 0*b. Let u(j) = 0. What is j? -1, 0 Suppose 0 = -2*x - 2*x + 16. Let o(r) be the second derivative of -1/80*r**5 + 0*r**3 + 0 + 0*r**2 - r - 1/48*r**x. Factor o(p). -p**2*(p + 1)/4 Let f(m) = m**2 + 9*m + 2. Let k be f(-10). Suppose -3*v - v = -k. Let -3*b + 2/3 + 16/3*b**2 + 2*b**4 - 14/3*b**v - 1/3*b**5 = 0. Calculate b. 1, 2 Let c(s) = -s**3 - 4*s**2 - s - 1. Let g be c(-4). Factor 0*y**g + y**2 - 2*y**4 + 0*y**4 - y**3 + 0*y**4. -y**2*(y + 1)*(2*y - 1) Let q(a) be the first derivative of a**3 - 3*a**2 + 3*a - 12. Suppose q(f) = 0. Calculate f. 1 Suppose 21 = -7*r + 49. Let b(s) be the second derivative of -1/5*s**3 + 2/5*s**2 - 3*s + 1/30*s**r + 0. Solve b(u) = 0 for u. 1, 2 Let j = 2 - 0. Suppose 21 = 4*r - 5*m, j*r + 5*m = -r + 7. Factor 1/5*x**5 + 0*x + 0 - 1/5*x**2 + 1/5*x**r - 1/5*x**3. x**2*(x - 1)*(x + 1)**2/5 Factor 6/7*i**2 + 0*i - 2/7*i**3 - 8/7. -2*(i - 2)**2*(i + 1)/7 Factor 0 + 122/13*z**2 - 4/13*z. 2*z*(61*z - 2)/13 Let v(y) be the third derivative of -2*y**7/105 + 7*y**6/30 + y**5/5 - 55*y**4/6 - 100*y**3/3 - 54*y**2. Factor v(d). -4*(d - 5)**2*(d + 1)*(d + 2) Let y = -4 - -12. Let 3 - y + 5 + 9*f**4 - 21*f**3 + 15*f**2 - 3*f = 0. Calculate f. 0, 1/3, 1 Let z(s) = 33*s**4 - 93*s**3 + 66*s**2 - 18*s + 6. Let i(t) = -65*t**4 + 185*t**3 - 133*t**2 + 35*t - 11. Let v(g) = 6*i(g) + 11*z(g). Factor v(h). -3*h*(h - 2)*(h - 1)*(9*h - 2) Let s(v) = -2*v**2 + v + 1. Let c(y) = -8*y**2 + 30*y - 22. Let n(w) = c(w) - 6*s(w). Let n(b) = 0. What is b? -7, 1 Let k = -149/3 - -53. Factor -10/3*z**3 - 5/3*z + 5/3*z**4 - 1/3*z**5 + 1/3 + k*z**2. -(z - 1)**5/3 Let t(y) be the second derivative of -y**6/120 + y**4/48 - 4*y. Solve t(l) = 0 for l. -1, 0, 1 Let v(g) be the third derivative of 6*g**2 + 0*g + g**3 + 0 + 5/8*g**4 + 1/5*g**5 + 1/40*g**6. Factor v(z). 3*(z + 1)**2*(z + 2) Let m(h) be the second derivative of 0*h**3 + 0 + 0*h**2 - 4*h + 1/6*h**4. Factor m(i). 2*i**2 Suppose -u - 2 = -1. Let q be ((-4)/4)/(u/7). Let b(a) = 8*a**2 - 6*a + 6. Let p(s) = 9*s**2 - 7*s + 7. Let z(g) = q*b(g) - 6*p(g). Factor z(y). 2*y**2 Let u(h) be the second derivative of h**2 + 0 - 5/6*h**3 + 1/4*h**4 + 8*h. Find o such that u(o) = 0. 2/3, 1 Let j be (-2*(-12)/16)/3. Factor 0 - j*n**5 - 3/2*n**4 - 1/2*n**2 + 0*n - 3/2*n**3. -n**2*(n + 1)**3/2 Let s(m) be the first derivative of -m**7/280 + m**5/40 + 4*m**3/3 - 3. Let p(v) be the third derivative of s(v). Factor p(n). -3*n*(n - 1)*(n + 1) Let v be (-190)/(-105) - (-14)/(-21). Determine w so that 12/7*w + v + 4/7*w**2 = 0. -2, -1 Let t(r) be the second derivative of r**7/1680 - r**6/144 + r**5/30 - r**4/12 - 5*r**3/6 - 5*r. Let x(c) be the second derivative of t(c). Solve x(p) = 0 for p. 1, 2 Let v = 89 + -124. Let g be (-10)/(-3)*(-7)/v. Let -2/3 + 2/3*u + 2/3*u**2 - g*u**3 = 0. Calculate u. -1, 1 Suppose -2*w - 3*q - 2 = -11, 5*q - 15 = 0. Solve -2/11*f**2 + w - 2/11*f**3 + 0*f = 0 for f. -1, 0 Let q(d) be the third derivative of d**7/2940 + d**6/1260 - d**5/420 - d**4/84 + d**3/6 - 3*d**2. Let c(v) be the first derivative of q(v). Factor c(s). 2*(s - 1)*(s + 1)**2/7 Suppose -4 = -5*a + 3*a. Let w(y) be the first derivative of -1/2*y**4 - 2/3*y**3 + 0*y**a + 0*y - 1. Factor w(r). -2*r**2*(r + 1) Suppose -5*f + 11 + 14 = 5*i, 4*f = -i + 14. Factor 1/2*d + 3/4*d**3 - 5/4*d**i + 0. d*(d - 1)*(3*d - 2)/4 Let z(m) = -9*m**4 + 15*m**3 - 15*m**2 + 9*m + 4. Let o(t) = 55*t**4 - 90*t**3 + 90*t**2 - 55*t - 25. Let u(c) = 4*o(c) + 25*z(c). Factor u(d). -5*d*(d - 1)**3 Let p be (-3 - 1)/4 - -1. Suppose 0*m + 3*m = p. Solve 0 + 2/5*x**2 - 2/5*x**4 + m*x + 0*x**3 = 0 for x. -1, 0, 1 Let b(c) be the second derivative of 0*c**3 + 0*c**2 + 0 + 1/40*c**5 + 0*c**4 - 2*c + 1/30*c**6 + 1/84*c**7. Factor b(t). t**3*(t + 1)**2/2 Let v(l) be the second derivative of l**5/20 + l**4/12 - l**3/6 - l**2/2 + 2*l. Factor v(j). (j - 1)*(j + 1)**2 Suppose 5*p - p = 3*l - 12, -4 = -l - 3*p. Let f(j) be the first derivative of -2/5*j**5 + 0*j + 2 - 2*j**3 + j**2 + 3/2*j**l. Factor f(w). -2*w*(w - 1)**3 Let t(b) be the third derivative of -1/60*b**4 - 4*b**2 + 0*b**3 + 1/150*b**5 + 0*b + 0. Factor t(o). 2*o*(o - 1)/5 Let g = -420 - -424. What is p in 30*p**3 + 0 + 125/2*p**5 + 75*p**4 + g*p**2 + 0*p = 0? -2/5, 0 Let i(f) be the third derivative of f**7/735 - f**6/420 - f**5/210 + f**4/84 - 45*f**2. Factor i(k). 2*k*(k
{ "pile_set_name": "DM Mathematics" }
. Let i be y(w). Suppose -2*a - 5*h + 13 + 55 = 0, i*a + 5*h - 97 = 0. What are the prime factors of a? 29 Let u = -24 + 25. What are the prime factors of 118*-4*u/(-8)? 59 Let v(r) = -r**3 - 4*r**2 + 5*r + 7. Let h = -26 + 21. List the prime factors of v(h). 7 Let g = 2763 - 1960. List the prime factors of g. 11, 73 Suppose -1 = 2*t - 5*z - 6, 4*t - 5*z = 5. Suppose k - 23 - 34 = t. Suppose k = 3*s + x, 5*s - 2*x - 3*x - 115 = 0. List the prime factors of s. 2, 5 Let n(k) = -k - 10. Let b be n(-10). Let l(a) = -5 - 11*a + b*a - a + 4*a. What are the prime factors of l(-6)? 43 List the prime factors of (668 + (2 - 4))*(-35)/(-15). 2, 3, 7, 37 Suppose 4*z - 373 = f, 0 = -5*z - 3*f + 7*f + 469. List the prime factors of z. 3, 31 Let x be (1042/(-6) - (-16)/(-12))/(-1). Let v = x - 56. What are the prime factors of v? 7, 17 Suppose 247 = -11*r - 1216. List the prime factors of (-2)/6 - -1 - r/21. 7 Let a(g) = -g**2 + 21*g + 39. Let q be a(13). Let i = q - 85. List the prime factors of i. 2, 29 Suppose 0 = -5*m - 5*k + 137 + 703, -4*m + 3*k + 700 = 0. Let u = m + -122. What are the prime factors of u? 2, 5 Suppose 3*m = 5*v + 2188, -10 + 4 = 3*v. List the prime factors of m. 2, 3, 11 Suppose -2*z = 5*w - 4148, -4*z - 78*w + 76*w + 8312 = 0. What are the prime factors of z? 3, 7, 11 Let u be 2 + (-2 - -111) + 2. Suppose -2*r + u = -45. List the prime factors of r. 79 Let x be -4*(-2)/24*6. Suppose -x*f + 0*b + 54 = -2*b, 0 = 4*f + 4*b - 124. What are the prime factors of f? 29 Let k(r) = r**2 + 4*r + 12. Let y be k(-8). Suppose -2*q = 2*n + y, 2*q + 71 = -4*n - 17. Let f = 60 + n. List the prime factors of f. 2, 19 Let j be (-14)/(-4)*3/(-7)*14. Suppose 0 = -2*m - 11 + 101. Let y = j + m. What are the prime factors of y? 2, 3 Let d = -1515 - -3852. What are the prime factors of d? 3, 19, 41 List the prime factors of (3740/4)/(9/6 - 1). 2, 5, 11, 17 Suppose -4*a - 32 = 4*m, 3*m = -a + 12 - 34. Let p(v) = 3*v**3 - v**3 - 3 - 3*v**3 + 4*v - 6*v**2 - 6. What are the prime factors of p(m)? 2, 3 Suppose 2*h + 2*v + 316 = 5*h, 0 = -2*h - 2*v + 224. Let g = -33 + h. Suppose g = 4*k - 81. What are the prime factors of k? 3, 13 List the prime factors of (-3364)/(-14) - 10/35 - -1. 241 Let q = -101 - -189. Suppose n - 9*n + q = 0. What are the prime factors of n? 11 Suppose -8 = -2*b - 0. Suppose -770 = -5*k + 6*i - 3*i, -k = -b*i - 154. What are the prime factors of k? 2, 7, 11 Suppose 0 = -2*a + 2*q + 2 - 6, 2*a + 3*q = -19. Let w be 3/a + (-108)/(-30). Suppose -5*v + 3*f + 133 = 0, 0 = -w*f - f + 16. List the prime factors of v. 29 Let i = -93 - -113. What are the prime factors of (-2 + 0)*(-1010)/i? 101 Suppose -2*n - 5*j = -1207, -n + 6*j = 7*j - 602. List the prime factors of n. 601 Let x(o) = 3*o + 24. Let p be x(-7). What are the prime factors of 1 + 3 + p + 56? 3, 7 Let a(r) = -r**2 - 71*r - 8. List the prime factors of a(-19). 2, 5, 7 Suppose 0 = -26*y + 31*y - 3*p - 148, -5*y - 2*p + 143 = 0. What are the prime factors of y? 29 Suppose 5*p + y - 14 = 0, 0 = 5*p + 2*y + 11 - 29. Suppose -r = p*r - 234. List the prime factors of r. 2, 3, 13 Suppose -3*j + 5*i = -0*j - 21, -4*i - 12 = 0. Suppose -5*v + 23 = -4*h - j, 0 = -3*v + 5*h + 15. Suppose -v - 14 = -n. What are the prime factors of n? 19 Suppose 3*d - 1093 + 13 = 0. List the prime factors of d. 2, 3, 5 Let v be 3 + -4 - -4 - (-6)/2. Suppose z - v*z = -140. List the prime factors of z. 2, 7 Let v = -14 + 22. Let i = v - 3. Let g(l) = -l + 12. What are the prime factors of g(i)? 7 Suppose m + 2*j + 5 - 2 = 0, m - j = 3. Let f be 1 + -1*(-4 - m). Suppose 4*z + 3*n = 88, -4*n + 22 = z - f*n. List the prime factors of z. 2, 11 Let t(g) = -3*g**3 - 9*g**2 - 4*g + 18. List the prime factors of t(-7). 2, 317 Suppose -4*j = -j - 12. Suppose 3*c - 5*y - 26 = 2*c, -c = -j*y - 28. Let s = -22 + c. List the prime factors of s. 2, 7 Suppose 160 = -61*w + 56*w. Let a = w + 82. List the prime factors of a. 2, 5 Suppose -3*b - 2*r - r = -21, -4*r - 26 = -5*b. Suppose b*j = 2*j + 664. List the prime factors of j. 2, 83 Let y = 855 + -510. What are the prime factors of y? 3, 5, 23 Let r(j) = 36*j + 1. Let p be r(1). Suppose u = -0*k - 4*k - p, 0 = 3*u - 9. What are the prime factors of 3 + 1 + -2 - k? 2, 3 Let w(y) = y**3 - 5*y**2 + 5*y + 2. Let s(o) = o. Let z be s(4). Let u be w(z). Suppose -x - x = -u. List the prime factors of x. 3 Suppose 4*n + 102 = 1542. Suppose -13*k + n = -9*k. Suppose -k = -0*w - 5*w. What are the prime factors of w? 2, 3 Let u = -458 - -860. List the prime factors of u. 2, 3, 67 Let y(q) = 31*q - 3. Let i be y(-1). Let r = i - -56. What are the prime factors of r? 2, 11 Let l(h) = -149*h + 303. List the prime factors of l(-33). 2, 3, 5, 29 Suppose -38341 = -18*m - 5*m. What are the prime factors of m? 1667 Let t = 680 - 662. What are the prime factors of t? 2, 3 Let p(f) = f + 9. Let x be p(-6). Suppose x*t + 4*w = 4*t - 25, 0 = -4*t - w + 185. What are the prime factors of t? 3, 5 Let p(u) be the first derivative of u**2 + 6*u + 1. Suppose 40 = 36*y - 31*y. List the prime factors of p(y). 2, 11 Suppose 2*v - 5*v - 2*z = -531, -z + 713 = 4*v. What are the prime factors of v? 179 Let q = 25 + -13. Suppose -10*h + 4 = -q*h. What are the prime factors of 9 - 7 - h*15? 2 Let k = -129 + 209. Suppose -2*c + k = 2*b, -3*b + 46 = c - 0*b. What are the prime factors of c? 37 Let z(f) = 2*f**2 - 22 - 11*f - f**2 + 0*f**2 + 5. Let w be z(13). Suppose -4*a - 170 = -w*a. List the prime factors of a. 2, 17 Let u = 3 + -1. Suppose u*j = -3*j + 15. Suppose -j*r + 57 = -0*r. List the prime factors of r. 19 Suppose 5*t + 52 + 36 = -2*n, 2*n + 2*t + 82 = 0. Let v = 276 + n. List the prime factors of v. 3, 79 Let v(f) = -4*f**2 - 3*f**3 + f**3 + 3*f**3 + 2*f + 3 - 2*f**3. Suppose 2*w = -2*w - 20. What are the prime factors of v(w)? 2, 3 What are the prime factors of (1960/(-15) - 3)*-3*1? 401 List the prime factors of 1/((-4)/320)*(-894)/24. 2, 5, 149 Let y(u) = u**2 - u - 9. Let c be y(-4). Let m be (-233)/c + (-28)/(-154). Let l = 26 + m. List the prime factors of l. 5 Let d = -55 - -32. Let n(h) = 2*h + 48. What are the prime factors of n(d)? 2 Suppose 3*u - 655 - 272 = 0. What are the prime factors of u? 3, 103 Suppose 3*k = -4*l + 197, 1 = -2*l + 5*k + 132. Let o = -6 + l. What are the prime factors of o? 47 What are the prime factors of (-612)/((4 + -2)*3/(-15))? 2, 3, 5, 17 Suppose 9 = 4*s - 11. Let p(r) be the second derivative of -r**5/20 + r**4/2 - r**3/2 + 5*r**2/2 + r. List the prime factors of p(s). 3, 5 Let v = 142 - 216. Let a = v + 109. What are the prime factors of a? 5, 7 Let b be 46/14 + (-8)/28. Suppose 1 = -2*w + b*u - 11, -2*u = 0. List the prime factors of 1/(-1 - 1)*w. 3 Let u be 99/(-6)*4/3. What are the prime factors of ((0 - -3)*-7)/(2/u)? 3, 7, 11 Let t = -20 + 86. Let d = 212 + t. List the prime factors of d. 2, 139 Let h(i) be the third derivative of -i**5/60 + 5*i**4/6 - 2*i**3 + 11*i**2. What are the prime factors of h(17)? 3, 13 Suppose 251*g - 539 = 258*g. Let p be (-2)/((-1)/(-1))*62. Let v = g - p. List the prime factors of v. 47 Suppose -z + 2*u + 18 - 23 = 0, -2*u - 4 = -4*z. Suppose -k + 603 = z*y - 4*k, -2*k = -y + 202. List the prime factors of y. 2, 5 Suppose -533 - 187 = -8*i. What are the prime factors of 9 + -6 - i/(-1)? 3, 31 Suppose -156*b + 158*b - 1684 = 0. List the prime factors of b. 2, 421 Let h(k) = -3*k**2 - 95*k + 89. List the prime factors of h(-31). 151 Let q(z) = 5*z**2 - 3*z + 1. Let b be q(-3). Suppose -79 = -2*g + b. Suppose 3*n = g - 1. List the prime factors of n. 2, 11 Let y(t) = 50*t**2 + 3*t. Let l be y(-2). Let h = 26 + l. Suppose h = 5*p + 5. What are the prime factors of p? 43 Let p = 157 - -512. What are the prime factors of p? 3, 223 What are the prime factors of (0 + 6/4)*3008/12? 2, 47 Let c = 228 + -408. Let g = -104 - c. List the prime factors of g. 2, 19 Let k(g) = -19 + 13*g**2 + 14*g**2 + 10*g - 2*g - 25*g**2. What are the prime factors of k(-9)? 71 Let h(x) = -x**3 + 6*x**2 + 3*x + 7. Let k be h(6). Let g be 20/6*30/k. Suppose s + 22 = q - 3*s, g*q - 121 = 5*s. List the prime factors of q. 2, 17 Let h(q) = 0*q**2 - 2*q + 5*q**2 - 4*q**2 + 2. Let s be h(-3). Suppose 0 = d - 5*d + 3*g + s, -5*g = -5. List the prime factors o
{ "pile_set_name": "DM Mathematics" }
**(-2/5)*(o*o*o/(o*o**(1/2)))/o*o/(o*o**(-5)*o*o))**(-50) assuming o is positive. o**(-235) Simplify ((u/((((u/u**0)/u)/u)/u))/u*u**1*((u/u**(-1/2))/u)/(u/(u*(u*u/(((u/(u*u*u*u*u*u*u/(u*u**(1/13)/u)*u))/u)/u))/u)))**(-4/37) assuming u is positive. u**(-698/481) Simplify ((m**(2/9)*m**(5/3)*m)/(m*m**(-5/6)*m*m*m**(4/5)/m))**(-48) assuming m is positive. m**(-664/15) Simplify (z/(z/((z**(2/119)*z)/z)*z))/(z**(-12)/z*z)*(z**(-22/3)/z)**32 assuming z is positive. z**(-91267/357) Simplify ((m*(m*m**26)/m)/((m**(3/4)/m)/m))/((m*m**(-15))/m)**(30/7) assuming m is positive. m**(2591/28) Simplify j**(-11)*j**23*j*j**0/j*j*j/((j**28/j)/j)*j assuming j is positive. j**(-11) Simplify (m/(m**(-15)/m*m*m*m)*m)/(m*m/(m*m/(m*m*m**(1/4))*m))*m*m*m**10/m*m/(m/m**1)*m assuming m is positive. m**(107/4) Simplify ((x/(x*x/x**(-1/4)))/x**(-2/11))/(x/(x**(-3/8)*x)*x/x**(2/5)) assuming x is positive. x**(-899/440) Simplify ((((h**(-1/2)/h)/h)/(((h**1*h*h)/h)/h))**(-42))**(1/17) assuming h is positive. h**(147/17) Simplify ((u**0*u)**(29/3)/((u/u**(-1/5))/u**(-1/2)))**(-2/11) assuming u is positive. u**(-239/165) Simplify r**(2/17)*r*r/r**(-6)*r**0/(r*r**(-2/75)/r) assuming r is positive. r**(10384/1275) Simplify (k**4/k*k*k**0/k*k**(-5)*k*k*k*k**2)**33 assuming k is positive. k**99 Simplify (((r**1)**(-14))**(34/5))**(-13) assuming r is positive. r**(6188/5) Simplify (f*f*f/(f/(f*f*f/f**(12/11)))*f*f)/(f*f/(f*(f**(-12)*f)/f)*f)*f**6*f**1*f assuming f is positive. f**(-1/11) Simplify q**25*(q**(-28)*q)/q*q**37*q**37*q assuming q is positive. q**72 Simplify (n/n**(-21)*n*n*n**(6/5))**20 assuming n is positive. n**504 Simplify (((h/h**(-1))/(h**(-2/3)/h))**(-15))**(-18) assuming h is positive. h**990 Simplify v**(3/5)*v*v**(-9)*v*v*(v*v**8)/v**(-1) assuming v is positive. v**(23/5) Simplify (d/(d**0/d*d))**(-1/12)*(d*((d*d**(2/3)/d*d)/d)/d)**(2/7) assuming d is positive. d**(3/28) Simplify (a**(-1/6)/a)**41/(a**(2/13))**(1/32) assuming a is positive. a**(-29851/624) Simplify (t**(-3)/t)**(-45)*(t**(-1))**(2/39) assuming t is positive. t**(7018/39) Simplify ((p*p**(-2))**(-2/81)/(((p/(p*p**(-4/5)*p*p))/p)/p**4))**(-8/5) assuming p is positive. p**(-20168/2025) Simplify k**(7/5)/k**(1/9)*(k**(1/3))**(-3/16) assuming k is positive. k**(883/720) Simplify (u**(-16)/u*u)**(1/39)*u/u**(-2/23)*u**(-27) assuming u is positive. u**(-23612/897) Simplify (f/(f/(f/f**(-6))))/(f**(-12)*f)*f/f**0*f*f**0 assuming f is positive. f**20 Simplify ((r/(r*r**(-4/9)))**(6/5))**(-11) assuming r is positive. r**(-88/15) Simplify ((b**(2/5)*b**(-2/7)*b)/((b/(b/(b*b*b*b/b**(2/9)))*b)/b**(-6)))**(-46) assuming b is positive. b**(140024/315) Simplify (h**(2/33)*h*h*((h*h**(-29))/h)/h)/(h**(6/25)*h*h**(1/8)) assuming h is positive. h**(-193409/6600) Simplify n**(-10)*n**(2/43)*n*((n**(-2/13)*n)/n)/((n**(-4)/n)/n) assuming n is positive. n**(-1737/559) Simplify (j**(2/25)*j*(j**(-10)*j)/j*j*j)/(j/j**4*j/(j*j/(j/(j**(-1)/j)))) assuming j is positive. j**(-148/25) Simplify ((q*q**(-10)*q)/q*q*q)**(-1/10)/((q/(q**(-9/4)/q))/((q/(q*q**(-5/2)))/q)) assuming q is positive. q**(-41/20) Simplify v**10/(v**(-10)/v)*(v*v**0)/(v/(v/(v**(-3)*v))) assuming v is positive. v**24 Simplify ((w/(w/(w**4/w)))/w**(5/6)*w*w**(-1)/w*w*((w**(-9/4)*w)/w)/w)**(-3) assuming w is positive. w**(13/4) Simplify (m**14)**(-6/19)/(m**19/m)**45 assuming m is positive. m**(-15474/19) Simplify ((c**(-6)*c)/c*c*c**(-2/7))/(c**(-2/39)/c*c*c*c/(c/((c/c**(-5)*c)/c)*c)*c) assuming c is positive. c**(-3340/273) Simplify (o**26*o/o**(-29))/(o*o/(o/(o/(o/o**(-12)))))**23 assuming o is positive. o**309 Simplify (((g*g/(g**(-1/2)*g*g))/g)**(1/8))**(-9/5) assuming g is positive. g**(9/80) Simplify (y**(-3/2)/y*y*y*y*y**(-10)/y)/(y/y**(-19))**(-25/3) assuming y is positive. y**(937/6) Simplify ((m**(-1))**(2/27)*(m/(m**(-1/4)*m)*m)**(5/7))**(-7/8) assuming m is positive. m**(-619/864) Simplify (((d**(-5)/d)/d**(5/4))/(d*d/d**(5/4)*d**(-3/2)))**18 assuming d is positive. d**(-117) Simplify (g/g**(-2))**(-12)/(g**(-12/7)*g**13/g) assuming g is positive. g**(-324/7) Simplify (((b*b/((b/(b*(b/b**(-25))/b))/b))/b*b)/b**27)**(5/4) assuming b is positive. b**(5/4) Simplify ((a/(a*a**0))/(a/(a/a**(-1/60))))/(a**(4/15)/a*a**(-13/5)) assuming a is positive. a**(67/20) Simplify (u**(7/2)/(u**(2/39)/u))/((((u/(((u*u**1)/u)/u))/u)/u)/u)**40 assuming u is positive. u**(6587/78) Simplify ((n*n*n**7*n*n/(n**(2/7)*n)*n)/((n*n/(n*n**(-2/17)))/n**(1/4)))**(-24/5) assuming n is positive. n**(-28122/595) Simplify ((d**(3/2)*d)/d**(-2)*d*d/(d/d**7)*d*d/(d*d*d**(3/4)*d))**(-30) assuming d is positive. d**(-645/2) Simplify (s**(-10/3)*s**1)/((s*(s*s/(s*s**(1/2)))/s)/s**(-2/31)) assuming s is positive. s**(-539/186) Simplify (z**(-20)/z**(-8))/(((z*z**(2/23))/z)/(z**7*z)) assuming z is positive. z**(-94/23) Simplify ((m/(m*m/((m/(m/(m/((m*m*m/((m*m**(-3)*m)/m)*m*m)/m))))/m)*m)*m*m)/m*(m/(m/((m**(2/9)*m)/m)))/m)/(m**(2/13))**(-35) assuming m is positive. m**(-280/117) Simplify l*l*l**10/l*l/(l/l**4)*(l*l*(l**(1/4)*l)/l)**49 assuming l is positive. l**(501/4) Simplify ((f**(1/5)*f**(-2))/((f*f**(3/5))/f*f**(-2/13)))**27 assuming f is positive. f**(-3942/65) Simplify (m*m**(-22)*m**(-25))**(-2/15) assuming m is positive. m**(92/15) Simplify (((i*i**5)/i)/(i*i**(-1/16))*(i**2)**(1/17))**(-33) assuming i is positive. i**(-37521/272) Simplify q*q*q*q/q**(-31)*q*q*q/(q*q**(4/17)/q)*q*(q/(q**(-3/4)/q))**(1/21) assuming q is positive. q**(55543/1428) Simplify ((z/z**(-3/7)*(z**7*z)/z)/(z**1*z**0))**(-22) assuming z is positive. z**(-1144/7) Simplify (w**(-2))**28*(w*w*w**(3/13))/w**(-6/13) assuming w is positive. w**(-693/13) Simplify (r/r**(-3/14))**(2/49)/(r**24*r/r**18) assuming r is positive. r**(-2384/343) Simplify (h/h**11)/(((h*h**(-2/13)*h)/h)/h)*(h*h**(-1))**13 assuming h is positive. h**(-128/13) Simplify (g**4*g**(3/14))**(-2/41) assuming g is positive. g**(-59/287) Simplify ((h**(-2/7))**(-36)*(h/h**(-7))/h**(2/13))**(4/19) assuming h is positive. h**(6600/1729) Simplify (h**(-4/9)/(h*h/(h/h**12)))/((h**(2/33)*h*h)/h**(-2)) assuming h is positive. h**(-1733/99) Simplify (y*y*(y*y**(1/5))/y)**21*(y*y**8*y)/(y**(-2)*y) assuming y is positive. y**(286/5) Simplify ((h*h*h/(h*h**(-2/3)*h*h)*h)/h**(1/5)*h**(-6)*h**2)**28 assuming h is positive. h**(-1064/15) Simplify ((b/(b*b**(8/7)*b))/b)**(1/27)/(b**(3/14)*(b*b**(-23)*b)/b) assuming b is positive. b**(8191/378) Simplify (((d/d**(3/2))/d)/d**(-4))/((d*(d*d**29)/d*d)/(d*d**(-16))) assuming d is positive. d**(-87/2) Simplify (k**24*k)**(8/9)/(k**(-2/43)/(k*k**(1/4))) assuming k is positive. k**(36407/1548) Simplify ((d/(d**(2/7)/d*d*d))**20*d**(-1)*(d/(d/(d**(1/4)*d)))/d)**(2/11) assuming d is positive. d**(-181/154) Simplify (((s/(s/(s/s**4)))/s**4)/(s**(-2/5))**19)**(-3/2) assuming s is positive. s**(-9/10) Simplify (c/(c*((c/(c/(c/(c**(-2/9)/c)*c)))/c)/c)*c**(2/15)*c*(((c*(c/c**(1/7))/c)/c*c)/c)/((c/c**1*c)/c))**10 assuming c is positive. c**(-146/63) Simplify (w**34*w*w*w/(w*w**(-1)*w)*w)**34 assuming w is positive. w**1258 Simplify (d**(1/8)*d)**(1/65)*d**(1/2)*d**(6/7) assuming d is positive. d**(5003/3640) Simplify ((w*w*w**(-2/13))**(-6))**(-17) assuming w is positive. w**(2448/13) Simplify (t**(-1/2)*t*t*t**(2/7)/t)/(t**(-2/13)*t)**6 assuming t is positive. t**(-781/182) Simplify ((s*s**11*s)**(2/47))**(1/2) assuming s is positive. s**(13/47) Simplify (b**14*b**(-5/6))/(b**(1/8)*b*b*b/(b**8*b)) assuming b is positive. b**(457/24) Simplify (((((l*l**(-3))/l)/l)/l)/l)**(-35)/(l/(l/(l*l*l/(l/l**(8/11))))*l**1) assuming l is positive. l**(2269/11) Simplify (((o/(o*o**2)*o)/o)/o)**(24/11)/((o*o/(((o/(o*o**(-2/35)/o))/o)/o))/((o*o*o/((o*o/o**(-12/5))/o)*o)/o*o)) assuming o is positive. o**(-3422/385) Simplify ((b**(-3/5)/b*(b**7*b)/b)/(b**(2/11)/((b/b**(2/15))/b)))**41 assuming b is positive. b**(34399/165) Simplify b*b*b*b**(-14)*b*b*(b/(b/(b*b**(-6))))/b*(b/(b**(8/7)/b))**(-43/2) assuming b is positive. b**(-234/7) Simplify ((h**(1/3))**31)**(-1/9) assuming h is positive. h**(-31/27) Simplify ((v/v**(2/23))**(1/5))**33 assuming v is positive. v**(693/115) Simplify (b**(2/15))**20/(b**4/b*b*b/(b*b**4)) assuming b is positive. b**(8/3) Simplify (k/(((k/k**5)/k)/k))**(1/8)*(k/(k*k**(-2/85)/k))/(k**8/k*k) assuming k is
{ "pile_set_name": "DM Mathematics" }
Simplify -2 + (-1 + 6*(-4 + sqrt(98) + (sqrt(98) - (3*sqrt(98) + sqrt(98))) + 1))**2. 3192*sqrt(2) + 14471 Simplify 4*((sqrt(1331) + -1 - sqrt(1331))*2*-5 - (-1 + sqrt(1331) + (-3*sqrt(1331) - sqrt(1331)) + 2))**2. 2376*sqrt(11) + 48240 Simplify 1 + -3 + ((-5 + 6*(-2*sqrt(2057) + sqrt(2057) - sqrt(2057)))*3)**2. 11880*sqrt(17) + 2666095 Simplify -5*((1*(sqrt(187) + sqrt(187)*-2) + (-1*sqrt(187) - sqrt(187))*-1)/(sqrt(176)*-1 - (sqrt(11) - 2*sqrt(11)*-2)))**2. -85/81 Simplify ((sqrt(1539) + (sqrt(1539) + 0 - sqrt(1539))*-3)*3*3 + (sqrt(1539) - -2*(sqrt(1539)*-1 + sqrt(1539)) - (5 + 1*sqrt(1539))))**2. -810*sqrt(19) + 124684 Simplify (-1 + ((-1 + (sqrt(198)/sqrt(6))/sqrt(11))*2)**2 + -3)*-2. -24 + 16*sqrt(3) Simplify 2*5*(-4 + -1*sqrt(175))**2 - (sqrt(14) - 1*sqrt(14)*3)/sqrt(1250). 10002*sqrt(7)/25 + 1910 Simplify -5 + ((-1 + sqrt(500))*-1 - (4 + (sqrt(500) - (0 + sqrt(500))) + sqrt(500))**2) + ((1 + -3*sqrt(500))**2 - sqrt(500) - (0 + sqrt(500))*-3). -130*sqrt(5) + 3981 Simplify ((-6*(sqrt(2736)*-3 + 3) - (-4 + sqrt(2736)*-2 + sqrt(2736) + -1 + -1)) + -3)**2. -6840*sqrt(19) + 987921 Simplify -3 + 3 + (((sqrt(700) - (0 + sqrt(700) + sqrt(700)))*2 + sqrt(700) - ((sqrt(700) - (0 + sqrt(700))) + -4)) + -1)**2. -60*sqrt(7) + 709 Simplify 3*-6*(-6*sqrt(128))**2 - (sqrt(2) - (sqrt(10) + (sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(10)*-3))))/sqrt(5) - 2*(sqrt(2) + -1)**2). -82938 - 8*sqrt(2) Simplify (2*(sqrt(528) - (2*sqrt(528) + sqrt(528) + sqrt(528) + sqrt(528)) - sqrt(528))/sqrt(12))**2 - (2 + sqrt(176)*-3 + -1). 12*sqrt(11) + 4399 Simplify (-4*2*(-1 + sqrt(1872)) + -4)**2 - -3*(-1*(sqrt(1872) + (-1*sqrt(1872) - sqrt(1872) - sqrt(1872))) + sqrt(1872) - sqrt(1872) - sqrt(1872))**2*-5. -768*sqrt(13) + 91744 Simplify (sqrt(76) + sqrt(76) + sqrt(76) + -1*(-3*sqrt(76) + sqrt(76)) + ((sqrt(76) - (sqrt(76) - -3*sqrt(76)) - sqrt(76))*-4 - sqrt(76)))/(3*3*sqrt(324)*1)*-5. -100*sqrt(19)/81 Simplify (-6*sqrt(342)*-2 + sqrt(342)*1*-5 + sqrt(342))/((sqrt(12) + sqrt(60)/(sqrt(5) + sqrt(20)/sqrt(4)))/(-6*sqrt(24)/sqrt(4))). -96*sqrt(19) Simplify -1 + -4 + sqrt(3)*-2 + sqrt(9)/sqrt(3) + 5 - ((2 + sqrt(75) + -3 - sqrt(75)) + -3*(sqrt(75) + sqrt(75)*-2))**2. -676 + 29*sqrt(3) Simplify (sqrt(540) - (sqrt(540) + 4*sqrt(540)*-1))/(-3*sqrt(108)/(sqrt(9) + -4*sqrt(9))). 12*sqrt(5) Simplify -2*(-1 + (sqrt(320)*1*-5 - (1*(0 + sqrt(320) + sqrt(320)) + sqrt(320))) + 3)**2 + -5. -40973 + 512*sqrt(5) Simplify (3 + ((sqrt(2) + (sqrt(2) - (sqrt(162)*2 + sqrt(162) - sqrt(162))) - (sqrt(162) + -1 + sqrt(162) + sqrt(2)))*-2 - (-1 + sqrt(98))*-2*-1))**2. 336*sqrt(2) + 6281 Simplify ((-5*(-2*sqrt(110) + sqrt(110)))/(sqrt(99)*2))/(sqrt(40)/sqrt(5) + sqrt(6)/sqrt(3)*-6). -5*sqrt(5)/24 Simplify 1 + ((2*sqrt(168) - sqrt(168))/sqrt(8) - sqrt(21))/(sqrt(225)/sqrt(3))*-3 + -5 + 5. 1 Simplify 5 + (((sqrt(98) - -2*sqrt(98)) + sqrt(98))*4)**2 + 4 + 2 + ((1*sqrt(98) + sqrt(98))*2)**2 + sqrt(98). 7*sqrt(2) + 26667 Simplify (sqrt(42) + (-5*sqrt(462) - sqrt(462))/sqrt(11) + -5*sqrt(2058))/(sqrt(486)*-2 - 3*sqrt(6)*-3). 40*sqrt(7)/9 Simplify (((sqrt(22)/(sqrt(44) - 3*sqrt(44)))**2 - ((sqrt(12)/sqrt(6) + 5)**2 + -1)) + -4)*4. -239/2 - 40*sqrt(2) Simplify -4 + (sqrt(105)/sqrt(12))/((sqrt(70)/sqrt(2))/sqrt(5)) - ((sqrt(360) + (sqrt(360)*3 - sqrt(360)) + sqrt(360) - sqrt(360))/sqrt(9))/(6*sqrt(128)). -4 + 3*sqrt(5)/8 Simplify -4*(3*((2 + sqrt(475))*-1 - sqrt(475)) + (sqrt(475) + -1)*-3 + (1 + 2*sqrt(475))**2 + sqrt(475) + 5). -7612 + 80*sqrt(19) Simplify -5*(sqrt(119)/(sqrt(7) - sqrt(14)/sqrt(2) - sqrt(7)) + -5) + 1 + sqrt(612) + 0 + sqrt(612) + -4. 22 + 17*sqrt(17) Simplify (-6*(sqrt(2052) + sqrt(2052)*2 + sqrt(57) - sqrt(684)/(-1*sqrt(12) - sqrt(12))))/(((sqrt(300) + 1*sqrt(300) - sqrt(300))*-3 - sqrt(300))*1). 117*sqrt(19)/40 Simplify 5 + (sqrt(448) - ((sqrt(448) - sqrt(448)*4 - sqrt(448))**2 + -2)) + 5 + -2 + sqrt(448) + 3 + -5 + 1. -7159 + 16*sqrt(7) Simplify ((sqrt(91)*1 - sqrt(91))*-2 - -4*-2*sqrt(91))/(6*sqrt(42)/sqrt(6) + sqrt(175)*2). -sqrt(13)/2 Simplify -3 + -3 + (6*(0 + sqrt(1584))*-5 + -5)**2 + 0. 3600*sqrt(11) + 1425619 Simplify -3*(-6*sqrt(384)*-3)/(sqrt(147) - (sqrt(147) + -3*-2*sqrt(147) + sqrt(147))). 432*sqrt(2)/49 Simplify (3 + ((sqrt(10) - (sqrt(90) + sqrt(10))*1) + sqrt(10))/(sqrt(32)*2))*3 + 1. -3*sqrt(5)/4 + 10 Simplify ((-1 + 4*sqrt(245)*4 + (0 + -1 + sqrt(245) - (sqrt(245) + sqrt(245) + 2 + (sqrt(245) + 1 - sqrt(245)))))**2 + -2)*1. -1050*sqrt(5) + 55148 Simplify ((1*sqrt(204)*4 - sqrt(204)) + sqrt(204) + sqrt(204) - (sqrt(204) - 6*(sqrt(204)*2 + sqrt(204))))/(sqrt(144)/(-5*sqrt(12)*-3)*-4). -165*sqrt(17)/2 Simplify (-6*3*(-1 + (3 + 0 + -2 + sqrt(176))*-3))**2. 31104*sqrt(11) + 518400 Simplify ((-3 + -4 + sqrt(6)/sqrt(3))*-6 - (sqrt(200) + -3 + sqrt(200) + sqrt(200) + 5*sqrt(12)/sqrt(6)))**2. -3690*sqrt(2) + 5387 Simplify (-3 + (-2 + sqrt(162)*-3)*-4 + -1)**2. 864*sqrt(2) + 23344 Simplify (-4 + (1*(-2*2*sqrt(76) - 5*(sqrt(76)*-2 - sqrt(76))))/((sqrt(28) - (-1*sqrt(224))/sqrt(8))/sqrt(7)*5))**2. -44*sqrt(19)/5 + 3899/100 Simplify -1*(((-2*sqrt(1900))**2*6 - sqrt(1900)) + sqrt(1900) + 3 + -2*sqrt(1900)) + 6*((sqrt(931)*-2 - sqrt(931)) + 5)*-5. -45753 + 650*sqrt(19) Simplify 3*(-2 + (3*(0 + sqrt(2057) + 3 + 4*(5 + sqrt(68)/sqrt(4)))*-6)**2). 670680*sqrt(17) + 4232082 Simplify (-5*(-3*2*sqrt(104) + (2*(sqrt(104) - (sqrt(104)*-1 + sqrt(104))) - sqrt(104))))/((1*sqrt(96))/(sqrt(3) - (sqrt(3) + sqrt(81)/sqrt(3)))) + -2. -75*sqrt(13)/2 - 2 Simplify (sqrt(3)*-4*6 + 3 + sqrt(75) + sqrt(75) - -4*(sqrt(675) - sqrt(675)*4 - sqrt(675)))**2. -1524*sqrt(3) + 193557 Simplify (-6*(3*(1*sqrt(1080) + sqrt(1080)))/((sqrt(360) - (1*sqrt(360) - sqrt(360)))*4)*6)**2. 8748 Simplify 1 + (-2 + (sqrt(847) - (sqrt(847) + sqrt(847) + 2)) - ((sqrt(847) - (sqrt(847) + 1)) + 0 + sqrt(847)))*-4 + -5 + 1. 9 + 88*sqrt(7) Simplify 4*((1*(-1 + sqrt(1900) + -2))**2 + (sqrt(1900) - ((sqrt(1900) + sqrt(1900)*-2)*-3)**2) + 4 + (-1 + sqrt(1900))**2). -53144 - 280*sqrt(19) Simplify 3*2*((1 + sqrt(147) + -3 - (sqrt(147) + (sqrt(147) + 1)*3)) + 0)**2. 1260*sqrt(3) + 8088 Simplify (2*-2*(sqrt(156) - 1*sqrt(156))*6)/((sqrt(192) - (2*sqrt(192) + sqrt(192))*1) + sqrt(192)*2*-1). 0 Simplify 2*(sqrt(35)/(3*sqrt(7)*6 - sqrt(7)) + 5 + (sqrt(55) + (sqrt(55) - sqrt(550)/(sqrt(50)/sqrt(5))))/(1*sqrt(33)/sqrt(3)))**2. 360*sqrt(5)/17 + 17690/289 Simplify (4*(((sqrt(243) + -1)*-5)**2 - sqrt(243)) + (sqrt(108)*2*-5)/(sqrt(36)*-2))*6. -10986*sqrt(3) + 146400 Simplify (3 + -3 + 4*sqrt(1377)*1 + (-2 + sqrt(1377) + sqrt(1377))*3 + 5 + 2 + sqrt(1377))**2. 198*sqrt(17) + 166618 Simplify ((-1*sqrt(8) - sqrt(8))/sqrt(4) - (-5 + (sqrt(32) - sqrt(2) - sqrt(2) - sqrt(2))) - (sqrt(8) + -3 - sqrt(98)*2))**2. 144*sqrt(2) + 226 Simplify 4*((sqrt(252)*-2*2)/(sqrt(9) + -1*sqrt(81)) + 0 + 4) + 5. 21 + 16*sqrt(7) Simplify (-6*-2*sqrt(96) + sqrt(96) - (2*sqrt(96)/sqrt(4) - (sqrt(240)*-2)/sqrt(10)))/((sqrt(144) - -2*sqrt(144)*3)/(sqrt(192)*-2)). -176*sqrt(2)/7 Simplify -4*((-2 + (sqrt(3) - (sqrt(3) + sqrt(3)*-2)))*-5*-1 - (sqrt(2400)*2 - sqrt(2400))/(1*sqrt(512)))**2. -5275/4 + 700*sqrt(3) Simplify ((sqrt(5) - (sqrt(110)/sqrt(2) - sqrt(55))/sqrt(11)) + -4 - (2 + sqrt(20)/sqrt(4) + -3)) + 2 + -2. -3 Simplify (1*sqrt(1408) + (sqrt(1408) - (1*sqrt(1408) + sqrt(1408))))/(((-1*sqrt(242))/sqrt(11))/(1*sqrt(1100))). 0 Simplify -1*(-5*(sqrt(108) + sqrt(18)/(sqrt(18)/sqrt(3)) + -1*5*(sqrt(3) + 1) + 5))**2. -300 Simplify ((sqrt(77) - 1*1*sqrt(77))*-2*-5)/(sqrt(448)*2*4 - (sqrt(448) - 6*sqrt(448)*-2)). 0 Simplify 2 + (((sqrt(180) + 1)*-5 + sqrt(180))*6)**2 + (sqrt(15) - sqrt(30)/(sqrt(6)/sqrt(3)))/(sqrt(27)*-2). 8640*sqrt(5) + 104582 Simplify ((sqrt(429) - -2*sqrt(429)*-2)/(-1*sqrt(176)))/(-6*(2*sqrt(147) + sqrt(3))*2). -sqrt(13)/240 Simplify (sqrt(1008)/sqrt(4) + sqrt(7) - ((-1*sqrt(63))/sqrt(9) + sqrt(7)) - (sqrt(896)*2)/(sqrt(24)/sqrt(3)*2 + sqrt(8)))**2. 1183/9 Simplify ((sqrt(405) + sqrt(405)*-2)*-4 - (sqrt(405) + sqrt(405) + 0 + -1) - (4*(-2 + sqrt(405)) + sqrt(405) + -1 + -1 + sqrt(405))*3)**2. -8928*sqrt(5) + 104641 Simplify (-1*1*sqrt(152)/sqrt(4)*2)/((sqrt(16)/sqrt(4))/sqrt(2) - sqrt(2) - (sqrt(40)/sqrt(5))/sqrt(4)). 2*sqrt(19) Simplify (sqrt(252) + -5 + sqrt(252) + 1 + -4 + -5 + sqrt(7) + sqrt(28) + -2*1*sqrt(112)*-5*3)**2. -3510*sqrt(7) + 127744 Simpl
{ "pile_set_name": "DM Mathematics" }
(a) -2/5 (b) -5 (c) 0.10508 a Which is the closest to 2/9? (a) -1/18 (b) -0.8 (c) 4/7 a What is the closest to 0 in -6, -1, 5/3, -30? -1 Which is the nearest to -11? (a) -3 (b) 3 (c) -0.1393 a Which is the nearest to 4/3? (a) 10 (b) -2 (c) 178/7 (d) 5 (e) -4 b What is the closest to -3 in 0, -5.1, 71.1? -5.1 What is the nearest to 642 in -1/5, 4, -35? 4 Which is the nearest to 1? (a) 1/2 (b) 3 (c) -4 (d) -324 (e) 1 e Which is the closest to 0.5? (a) -2/15 (b) -9 (c) -0.11 (d) -0.3 c What is the closest to 1.2 in 3, -186, 12? 3 What is the closest to 2 in -5, 38, -1, 7, -2.9? -1 Which is the closest to -2/5? (a) 1/6 (b) 23 (c) 0 (d) 0.4 c Which is the closest to -13460? (a) 3/5 (b) 2/3 (c) 2 a What is the closest to -4 in -1/4, 4, 1/373? -1/4 Which is the closest to -1/2? (a) -0.5 (b) -121 (c) 54/5 a Which is the nearest to 0.4? (a) 13/5 (b) -1 (c) -4.8 b Which is the closest to -1/4? (a) 2/7 (b) -142 (c) -2 a Which is the closest to 3/40? (a) -3 (b) 0.3 (c) 0.042 c What is the closest to 42 in -0.4, -4, -8, 3, 0.05? 3 What is the closest to 0.1 in -0.1, 2401, -0.6? -0.1 What is the closest to 1/3 in 4, 15, 3? 3 What is the closest to 7.2 in 2, -0.1, -13, 2/11, 0.3? 2 What is the nearest to 0 in 0.4, 4, 0.09? 0.09 What is the closest to 0.1 in 2/7, -3, -2/15, -28? 2/7 What is the nearest to -2 in -0.072, -1/2, 5, 1/3, -2? -2 Which is the nearest to -0.2? (a) 1/2 (b) 2.2 (c) 1/4 (d) 30 (e) -2.1 c What is the nearest to 0 in 0.1, -40/9, 0.5, -88? 0.1 What is the closest to -42/11 in 0.1, 3/5, 4, 3, 0.5? 0.1 Which is the closest to 0.3? (a) 4 (b) 0.5 (c) -1/2359 (d) -0.4 b What is the nearest to -0.3 in 0.3, -2/11, -1, -0.052, 0.1? -2/11 Which is the nearest to 1/2? (a) 2/15 (b) 0.2 (c) -0.085 (d) -0.2 (e) 2 b What is the closest to -33/5 in -8, -0.4, -1, 3, -5.8? -5.8 Which is the nearest to 0.2? (a) -7 (b) -2/14409 (c) -4 (d) 3/4 b What is the closest to -0.5 in -122, -1/5, 4, 1? -1/5 What is the nearest to -2/65 in -174, -4/7, 2/15, -4? 2/15 What is the nearest to 4/11 in 0, -1, -0.5, -0.23, 10/7? 0 What is the closest to -0.3 in -1.6, 0.3, 22, -6? 0.3 What is the closest to 1 in 1/29, 600, -2, 3, 0? 1/29 What is the nearest to 2/5 in -2/15, -2, -8451? -2/15 Which is the closest to -2.1? (a) 2/11 (b) -5 (c) 3 (d) 7 a Which is the closest to -0.454? (a) -0.0046 (b) 0 (c) -0.4 (d) 3 c Which is the nearest to -1? (a) 4/5 (b) -17 (c) -12 a Which is the nearest to 7? (a) -13 (b) -0.1 (c) -4 (d) 2/7 d What is the closest to 272.8 in -3, -3/4, -0.5, 2? 2 What is the closest to 2/5 in 0.16, 194, 1/10, -4? 0.16 What is the closest to 55 in -1, -0.089, 0.3? 0.3 Which is the nearest to 1/3? (a) -0.3 (b) 1/3 (c) -17 (d) 0.2 b What is the nearest to 2/51 in 48, 1, 1/3, 5? 1/3 What is the closest to -1/23 in -2/291, -11, -2/15? -2/291 Which is the closest to -1? (a) 1/96 (b) 0.2 (c) 4 (d) 2 a Which is the nearest to 445? (a) -108 (b) 4/7 (c) -2 b What is the closest to -0.06 in 6/5, -1/11, -0.4, 1? -1/11 Which is the closest to 11? (a) 0.2 (b) 6 (c) -27 (d) -7.9 b What is the nearest to -77/5 in -1/2, 4/5, -10/7, -8? -8 Which is the closest to -3? (a) 1 (b) 3.2 (c) 0.14 c What is the nearest to 957 in -4, -0.3, 4, -56? 4 What is the closest to 0.0448 in 0.06, -3, 1.3, 2/5? 0.06 What is the nearest to 2 in -2/9, 7, 36, 4/13? 4/13 What is the closest to -1/3 in 1/2, 5, -0.03, 3167? -0.03 What is the nearest to -2/5 in -2, 5, 4586, 0.5? 0.5 What is the closest to 105 in 2/9, -20, 2, 3/8? 2 Which is the closest to 2/15? (a) 0.14 (b) 30 (c) -0.247 a Which is the closest to 1? (a) -1 (b) -1/4 (c) 33 (d) -21 b What is the closest to 1 in -1/6, -67, 16, 0? 0 Which is the nearest to -2.9? (a) -11/4 (b) 2/3 (c) -4 a What is the closest to 2/333 in -7, 0, 6, 2? 0 What is the closest to 2 in -592/23, 5/4, -0.1? 5/4 What is the nearest to 2 in 3, 2/7, 4, 0.08? 3 Which is the closest to 4/5? (a) 0.2 (b) -10/3 (c) 5 (d) 48 (e) 0.3 e What is the closest to 290.6 in 78, -4, 0.3? 78 Which is the closest to -2/21? (a) -1/2 (b) -320 (c) -0.24 c What is the closest to 1 in 1090, 2, -2/127? 2 Which is the nearest to 0? (a) -5.4 (b) 5 (c) 369 (d) -2/5 d What is the nearest to -2/3 in -3, 1/2, 0.3, 5, -0.81? -0.81 What is the nearest to 237 in -0.2, -1, 3? 3 Which is the nearest to -173? (a) 146 (b) -0.3 (c) 1/3 b What is the nearest to 2 in -3/5, 1.32, 0.5, -51? 1.32 What is the nearest to -1393 in 0.4, -5, -2/9? -5 What is the nearest to -0.1 in 161.5, 3, 1, -0.5, -2/7? -2/7 Which is the nearest to -3.532? (a) 1 (b) 3 (c) 0.5 (d) -1/4 d What is the nearest to 0.1 in 5, 1/542, -321? 1/542 What is the closest to -12.7 in 0.7, 0.3, 0.6? 0.3 Which is the closest to 23/8? (a) 3 (b) 5 (c) 0 (d) 1622 a Which is the closest to -4? (a) -0.5 (b) -2/3 (c) -0.12 (d) -34 (e) 14 b What is the closest to -1.2 in 1/10, 447, 4? 1/10 Which is the nearest to -4/9? (a) 5/7 (b) 2/9 (c) -26 (d) 1/6 d Which is the nearest to -1? (a) 1382/5 (b) 5 (c) 1/4 c What is the nearest to -1/3 in 3, 4/25, 0, -1/108? -1/108 Which is the nearest to 0.1? (a) 3/11 (b) 171 (c) -3 a What is the nearest to -0.08 in -4/13, -0.41, 2/5, -2/9? -2/9 What is the nearest to -13 in 2, -1, 12, -21? -21 What is the closest to 1 in -5, 0.1, 0.3, -1/2, 0.5? 0.5 Which is the closest to 0? (a) 2/13 (b) -4 (c) 41 (d) 2/17 (e) -1 d What is the closest to -1 in 0, 5.5, -3/4, -1, -9? -1 Which is the nearest to 2? (a) -1/3 (b) 7 (c) 0.02 c What is the nearest to -625 in 42, 4, 0.2, 5/2? 0.2 What is the nearest to -1 in 2/3, 0, -4293? 0 Which is the closest to 0? (a) 3 (b) -5 (c) -0.022 (d) 4/5 (e) 3.59 c Which is the closest to -0.2? (a) -3 (b) -114 (c) 0 (d) 1/3 c Which is the nearest to -21.7? (a) -5/3 (b) -0.36 (c) -1 (d) 0.4 a Which is the closest to 1? (a) 116/45 (b) -12 (c) 0.1 (d) 0 c Which is the closest to 2? (a) -22 (b) 4 (c) -95 (d) 1 (e) 2/3 d Which is the nearest to 0? (a) 2/7 (b) 4.41 (c) 1/3 (d) 3 (e) 4 a Which is the closest to -18? (a) -2/135 (b) -2 (c) -0.2 b What is the nearest to 1/4 in 2, -1/3, -0.1, -0.4, 8? -0.1 What is the nearest to 3 in 4, 7, 5, -3/8, -3/13? 4 Which is the nearest to -1? (a) -3/8 (b) -0.2 (c) 1880 a Which is the closest to 50? (a) -144 (b) 0.1 (c) 1 (d) 4 d Which is the nearest to 4? (a) 1 (b) 1/91 (c) 2 (d) 3/55 c Which is the closest to 5? (a) 0 (b) -0.2 (c) 65 (d) 0.3 d What is the closest to 3/16 in 0, 1/4, 226.43? 1/4 What is the nearest to 4/9 in 2, 2.162, 5? 2 Which is the nearest to 0? (a) 0.5 (b) 0.4 (c) 11 (d) -1 b Which is the closest to -8? (a) 114/53 (b) -0.13 (c) -0.2 (d) -0.5 d Which is the nearest to -1.39? (a) -1472 (b) 2/3 (c) 2/13 c Which is the closest to -0.3? (a) -0.5 (b) 4/593 (c) -1 (d) -2 (e) -0.3 e Which is the closest to 18? (a) -0.2 (b) -4/5 (c) 1/101 c What is the closest to -13 in 5, -0.3, 0.5, 0.3, -21? -21 What is the nearest to 1/2 in 1/6, -38/25, -0.02? 1/6 Which is the closest to -2/3? (a) -2 (b) -0.0647 (c) -3/8 (d) -1 c Which is the nearest to -1/3? (a) 5 (b) 20 (c) 0.12 (d) -3 c What is the closest to -2.8 in 31, -3/4, 1.1? -3/4 What is the nearest to 4/3 in -2, 3, -4, 12216? 3 What is the nearest to 2/3 in 19, 143, 0.3? 0.3 Which is the closest to -2/3? (a) 4 (b) 47 (c) 3/4 (d) -23 c Which is the nearest to -3? (a) 0.1 (b) 3/7 (c) 2/7 (d) 7/5 (e) 624 a What is the nearest to -2/11 in -20, 4, -0.088? -0.088 What is the nearest to 5/3 in 2/73, -3/2, -0.3, -2/7, -14? 2/73 What is the nearest to -0.3 in -0.01, 27, 5/3? -0.01 What is the closest to 1 in -0.1128, 4, 1? 1 Which is the nearest to 0? (a) 3436 (b) -5 (c) 21 b What is the nearest to 2/7 in -5513, 0.3, -3? 0.3 What is the closest to 0.2 in 2/9, -840, -2, -0.2, -5? 2/9 Which is the nearest to 1? (a) 4 (b) 39 (c) 6 (d) 3 (e) -59 d What is the closest to -1 in -0.02, -0.37, 4, 3/4? -0.37 Which is the nearest to -6.36? (a) -2 (b) 0.4 (c) 4 (d) 1/2 (e) 0.2 a What is the closest to 25 in -1, -50, 4? 4 Which is the closest to 1/4? (a) -5/3 (b) 1/6 (c) 68781 b Which is the nearest to -2/3? (a) 133 (b) -0.3 (c) -2/69 (d) -4 (e) -2 b Which is the nearest to 1? (
{ "pile_set_name": "DM Mathematics" }
z + r**2 wrt r? 240*r**3 Suppose -5*n + 154 = -4*a - 80, 2 = -2*a. Find the first derivative of c**2 + 23 + n*c - 46*c wrt c. 2*c Let w(u) be the first derivative of -20*u + 0*u**3 + 0*u**2 - 16/5*u**5 + 0*u**4 + 22. Differentiate w(b) wrt b. -64*b**3 Let g be -2 + (-6)/(0 + -2). What is the first derivative of -4 + 4*x**2 - g - 9 + 4 wrt x? 8*x Suppose -5*m - 4*q - 1258 = -10*m, 3*q = 3*m - 756. What is the second derivative of -9*v - m + 6*v**5 + 250 + 2*v wrt v? 120*v**3 Suppose 4*z = -z + 20. Suppose z*m = 3*j - 22, 0*j + 2*m - 4 = -j. Find the second derivative of -7*b + b**3 + b**3 - b**3 + j*b**3 wrt b. 42*b Find the third derivative of 132*f**6 - 52*f**2 - 5*f**6 - 140*f**2 - 21*f**2 wrt f. 15240*f**3 Suppose -2*v - 16 = -2*k - 2*k, 13 = 3*k - 2*v. What is the second derivative of -103*d - 3*d**4 + 5*d**4 - 7*d**k - 26 + 104*d wrt d? 24*d**2 - 42*d Let l be 6/12 + 2/(-4). Suppose 0*n - n + 2 = l. Differentiate 5 + n - 3 - 4*o**4 with respect to o. -16*o**3 Let m be (-4)/(-8)*(13 - -1). What is the third derivative of -18*h**2 - 5*h**6 - 5*h**6 - m*h**6 wrt h? -2040*h**3 What is the third derivative of 3*x**6 + 9*x**5 - 3214*x**3 + 7 + 3214*x**3 - 2*x**2 wrt x? 360*x**3 + 540*x**2 Let m = -9 + 25. Suppose -s = -5*s + m. What is the first derivative of 1 + q**4 - 2 - 5 + 2*q**s wrt q? 12*q**3 Let z(w) = 1408*w**3 + 14*w**2 + 34*w - 8. Let g(a) = -470*a**3 - 4*a**2 - 11*a + 3. Let t(m) = 7*g(m) + 2*z(m). What is the second derivative of t(d) wrt d? -2844*d Let i(f) be the first derivative of -f**7/42 + 11*f**3/6 + 16*f + 2. Let s(w) be the first derivative of i(w). Find the second derivative of s(o) wrt o. -20*o**3 Let f be ((-21)/7 + 2/4)*-2. Find the third derivative of -3*o**2 - 2*o**f - 20*o**2 + 6*o**5 wrt o. 240*o**2 Find the second derivative of 442*q**2 + q**4 - 3*q**4 + 0*q - 484*q**2 - q + 421 wrt q. -24*q**2 - 84 Suppose -2*b + 3*d = 2*b + 3, -3*b - 5*d + 5 = 0. Let w(v) = v. Let x be w(1). What is the first derivative of -x - 5*l**4 + 7*l**4 + b wrt l? 8*l**3 Let a(d) be the first derivative of 459*d**2/2 - 436*d + 457. What is the derivative of a(b) wrt b? 459 Let m(r) be the third derivative of -r**8/672 - r**5/15 + r**4/24 - 9*r**2. Let w(d) be the second derivative of m(d). Differentiate w(b) with respect to b. -30*b**2 Let c(m) = -229*m**5 + 6*m**4 + 6*m**2 - 62*m + 6. Let o(i) = -i**5 + i**4 + i**2 + 1. Let z(r) = c(r) - 6*o(r). Find the second derivative of z(t) wrt t. -4460*t**3 Let l = -114 - -130. Let z be (-10)/(-14) + (-4)/(-14). Differentiate z + 24*v + 2 - l*v wrt v. 8 Let n(z) be the first derivative of 127*z**3/3 + 111*z - 162. What is the first derivative of n(x) wrt x? 254*x Let p(c) = 22*c - 10. Let a(f) be the second derivative of 15*f**3/2 - 10*f**2 - 9*f. Let o(y) = -2*a(y) + 5*p(y). What is the derivative of o(m) wrt m? 20 Let w(s) be the first derivative of -7/2*s**4 + 0*s + 0*s**3 - 10 + 10*s**2. Find the second derivative of w(i) wrt i. -84*i Let n be 12/1*8/6. Let d(i) be the first derivative of 0*i - 7 + n + 2*i**2 + 5*i - 3*i. What is the first derivative of d(l) wrt l? 4 Let f(z) be the third derivative of 13/120*z**6 + 0*z**3 - 1/105*z**7 + 0*z**5 + 23*z**2 + 0 + 0*z - 3/8*z**4. What is the second derivative of f(o) wrt o? -24*o**2 + 78*o Let o(r) = -81*r**3 - 6*r**2 + 5*r. Let a(y) = 121*y**3 + 9*y**2 - 7*y. Let t(f) = -5*a(f) - 8*o(f). What is the third derivative of t(p) wrt p? 258 Let n = 16 - 31. Let m = -11 - n. Find the second derivative of 5*j + 8*j - 6*j**m - j wrt j. -72*j**2 Find the second derivative of -63*x**3 - 135 + 2*x - 2*x + 132 + x wrt x. -378*x Let g(y) = -9*y**2 + 4*y - 2. Let x(t) = -10*t**2 + 5*t - 3. Let d = 23 - 21. Let b(l) = d*x(l) - 3*g(l). What is the second derivative of b(f) wrt f? 14 Find the second derivative of -49*j**2 + 77*j + 14*j**2 - 9*j**3 + 12*j + 18*j**2 + 19*j**2 wrt j. -54*j + 4 Let l(j) be the third derivative of j**7/14 + j**5/20 - 13*j**3 + 8*j**2. What is the first derivative of l(d) wrt d? 60*d**3 + 6*d Let v(w) be the third derivative of -w**9/252 - 29*w**8/42 + w**5/12 - 30*w**2 + 5. What is the third derivative of v(q) wrt q? -240*q**3 - 13920*q**2 Let b be (-4)/(-5)*10/(-4). Let w be 12/8*b/(-3). What is the second derivative of -3*o**3 + 192*o - 194*o + 1 - w wrt o? -18*o Differentiate 401*x**2 - 794*x**2 - 132 + 447*x**2 + x with respect to x. 108*x + 1 Differentiate 571*f**2 + 1027 + 385*f**2 - 310*f**2 with respect to f. 1292*f Let b(u) = u**3 - 3*u**2 - 14*u + 20. Let v be b(8). What is the third derivative of 228*s**3 - 2*s**2 + s**4 - v*s**3 wrt s? 24*s Let d(u) be the second derivative of 5/2*u**3 + 5*u - 1/2*u**5 + 0*u**2 + 0*u**4 + 5. What is the second derivative of d(x) wrt x? -60*x Let b(d) = -39*d**3 - 49*d**2 - 7*d - 7. Let k(a) = 38*a**3 + 48*a**2 + 6*a + 6. Let z(s) = -6*b(s) - 7*k(s). Find the third derivative of z(r) wrt r. -192 Let f(n) = -15*n + 1 - 8 - 3. Let s(b) = 22*b + 15. Suppose 28*k - 10*k = -126. Let m(z) = k*f(z) - 5*s(z). Find the first derivative of m(l) wrt l. -5 Let o(m) be the first derivative of -3*m - 7/12*m**4 - 2*m**2 - 5 + 0*m**3. Let k(p) be the first derivative of o(p). Differentiate k(c) with respect to c. -14*c Let y(i) = 2*i**2 + 7. Suppose 3*p - 7*p = 20. Let l(z) = z**2 + 3. Let c(b) = p*l(b) + 3*y(b). What is the first derivative of c(u) wrt u? 2*u Let b(t) be the first derivative of -481*t**5/5 + 217*t - 67. Differentiate b(f) wrt f. -1924*f**3 Let d(f) = 6*f**4 - 2*f**2 + 6. Let p(j) = 1 - 2 - 56*j**2 + 20 + 49*j**2 + 18*j**4. Let h(r) = -14*d(r) + 4*p(r). Find the first derivative of h(v) wrt v. -48*v**3 Suppose b = 2*u - 15, 0 = 4*b - 6 + 26. Find the second derivative of -2*z**4 - 5*z + u*z**2 + 3*z**4 - 5*z**2 wrt z. 12*z**2 Let v(t) be the first derivative of -4*t**6/15 - 23*t**4/12 + 18*t + 5. Let w(g) be the first derivative of v(g). What is the third derivative of w(p) wrt p? -192*p Let d(n) = -n**3 - 1. Let c(j) = -17*j**3 + j**2 - 4. Let a = -24 + 23. Let y(p) = a*c(p) + 4*d(p). What is the third derivative of y(o) wrt o? 78 Let q(k) be the first derivative of -3/2*k**2 + 0*k**4 + 0*k + 2/3*k**6 + 0*k**3 + 0*k**5 - 7. Find the second derivative of q(w) wrt w. 80*w**3 What is the second derivative of -442*i + 3*i**2 - 598*i**3 - 594*i**3 - 12*i**2 + 1194*i**3 wrt i? 12*i - 18 Let y = 124 - 118. Differentiate -1 + 0 + y*d - 8*d + 0*d with respect to d. -2 Let p(z) be the second derivative of 0*z**3 - 3/2*z**2 + 0*z**4 + 15*z + 0 - 3/5*z**6 + 0*z**5. Differentiate p(i) wrt i. -72*i**3 Let d be (19 + -16)*(-46)/(-6). What is the first derivative of 0 + 14*k**2 + 5 - 23*k + d*k wrt k? 28*k Let o be ((-2)/(-3))/(12/54). What is the second derivative of -1034*a**o + 1001*a**3 + 43*a - 12*a wrt a? -198*a Find the second derivative of -45 + 47 - u + 5*u**2 - 40 - 3*u**4 + 0*u**4 wrt u. -36*u**2 + 10 Let q(i) = 1426*i - 3116. Let w(h) = 1070*h - 2337. Let v(m) = -7*q(m) + 9*w(m). Differentiate v(p) wrt p. -352 Suppose -5 = g + 3*r, r = 2*g - 0*r - 11. What is the first derivative of -27 + 92*t**g + 2*t - 91*t**4 - 2*t wrt t? 4*t**3 Let w(m) be the second derivative of 91*m**5/20 + m**4/12 - 65*m**2/2 + 196*m - 1. Differentiate w(h) wrt h. 273*h**2 + 2*h Suppose u + 4 = -5*d + 26, 2*d = 3*u + 2. Find the second derivative of -y**4 - 5*y + 36*y**d - 7*y wrt y. 420*y**2 Let i(z) be the first derivative of -z**5/6 - z**4/3 - z**2/2 + 1. Let v(d) be the second derivative of i(d). Find the second derivative of v(h) wrt h. -20 Let t(g) = 45*g**3 - 15*g**2 - 4. Let m(y) = 134*y**3 - 46*y**2 - 13. Let f(v) = -2*m(v) + 7*t(v). Find the third derivative of f(d) wrt d. 282 Suppose 2*o - 25 = -3*o, 4*r + o = 13. Find the third derivative of 9*q**2 + 10*q**3 + 5*q**r + 4*q**3 wrt q. 84 Let u be ((-168)/49)/(-2) + 2/7. What is the third derivative of 0*k**6 + 15*k**4 + k**u - 15*k**4 - 33*k**6 wrt k? -3960*k**3 Let t(j) be the second derivative of 3/2*j**5 + 0 + 19/12*j**4 - 48*j + 0*j**2 + 0*j**3. What is the third derivative of t(i) wrt i? 180 Let z(g) = -g**2 + 2*g + 12. Suppose 4 = -v, -5*v - 31 = -5*y + 9. Let w(n) = n + 1. Let p(t) = y*w(t) - 2*z(t). Find the first derivative of p(a) wrt a. 4*a Let h = 4 - 4. Suppose h = -3*v + 10 + 8. Find the third derivative of 11*g - g**2 - 3*g**2 - 11*g + 3*g
{ "pile_set_name": "DM Mathematics" }
-9 + 13. Suppose 4*w - w = n + 9, 4*w = -m*n + 28. Let z = 8 - 8. Which is the closest to z? (a) 1 (b) -2 (c) n a Let n = 0.1 + -0.1. Let i = -18 - -28. Let g = i - 12. Which is the closest to n? (a) 0.3 (b) 4/7 (c) g a Let o = -10/19 - -68/57. Let p = 177 + -178. Which is the closest to p? (a) o (b) 0.2 (c) 0.5 b Let q = -17/72 + 1/9. Let z = -7 - -8. Let y be -2*z/18*-6. What is the nearest to y in q, 2, 5? q Let q = -27193/36 - -4535/6. Let r = q + -2/9. Let s be (-1)/5 - (-28)/40. Which is the closest to r? (a) -2/3 (b) s (c) 3 b Let f = -309/14 - -45/2. Which is the nearest to 0.1? (a) f (b) -1 (c) -2/3 a Let o = 0.297 - -0.703. Let r = -1.36 - 0.34. Let g = 2 + r. Which is the nearest to -0.1? (a) o (b) g (c) -0.4 c Let j = -0.21 + 2.21. Which is the closest to 0? (a) -5/4 (b) 3 (c) j a Let a = 51.5 - 52. What is the nearest to 1 in 0.1, 3, a? 0.1 Let o = -0.245 - -0.045. Which is the closest to o? (a) 5 (b) -0.5 (c) 2 b Let p be (2 - -2) + (-186)/48. Which is the closest to -1? (a) p (b) 2/13 (c) 0.5 a Let g = -5 - -8. Let k = 12.1 + -12. Which is the closest to k? (a) g (b) -3 (c) -5 a Let j = 6 - 6.2. Let u = j + -4.8. Which is the nearest to 0? (a) 0 (b) 1 (c) u a Let n(p) = -2*p + 6. Let h be n(5). Which is the nearest to h? (a) 0.2 (b) 4 (c) -0.1 c Let s = -12 - -14. Which is the nearest to 3? (a) -3 (b) -4 (c) s c Let s = -31.7 - -32. What is the nearest to -1 in 3, 4, s? s Let i = -1.1 + 0.1. Suppose 3*p = -0*p + 96. Suppose -5*n + p = -3*z, 2*z + 3*n = n. Which is the closest to -2/7? (a) z (b) -5/3 (c) i c Let i = -774/5 + 154. Let s = -0.03 - -5.03. Which is the nearest to 0? (a) i (b) s (c) 1/3 c Let z = 65 - 61. Let g = 511/3 - 169. Which is the nearest to -0.1? (a) z (b) 5 (c) g c Let u(v) = -v**3 + 8*v**2 - 5*v - 9. Let z be u(7). Let n = 0.38 + -7.88. Let t = n + 8. Which is the nearest to 0? (a) -4 (b) t (c) z b Let s = -42 + 43. Let y = -0.2 - -0.4. Suppose 2*n = 3*n. Which is the nearest to s? (a) n (b) y (c) -1/4 b Let f be (-1)/1 - 33/3. Let o be f/(-81)*3/(-2). What is the closest to 1/4 in 1, 0.2, o? 0.2 Let d = 26 - 25.78. Let b = d + -0.02. What is the nearest to 1 in -2/9, 1, b? 1 Let f be 6 + (1 - (6 - 3)). Suppose 0 = v + f*v. Which is the nearest to v? (a) -2/7 (b) 0.2 (c) 4 b Suppose -5*q + 5*i = 0, 2*q - 4*q = -5*i - 9. Let o be 284/(-213) + 38/6. Which is the closest to 0.1? (a) -1 (b) o (c) q a Let t be 7/(-3) + 15/5. Let r = -1 + 0. Suppose -8 = 4*h + 12. Which is the nearest to t? (a) 1/4 (b) h (c) r a Let p = -4 - 2. Let w(j) = j + 3. Let z be w(p). Which is the closest to z? (a) -1 (b) -0.4 (c) 1 a Let f = 6.12 + -6. Let t = 1.22 - f. Let x = 0.7 - t. What is the nearest to 2/3 in x, -3, -1? x Let w = 3 - 8. Let z = 10 + w. Suppose -x - 3*a - 11 = 0, x + 0*a - 13 = 3*a. What is the closest to x in z, 0.2, -0.1? 0.2 Suppose 11*a = -23 + 12. What is the closest to a in 4, -4, 1/8? 1/8 Let n be (((-40)/2)/(-4))/(-1)*-1. Which is the nearest to -2? (a) n (b) -8 (c) 1/2 c Let i = -0.203 - -0.103. Let p = -1/10 + -2/5. What is the closest to -1 in 2, i, p? p Let l = 8 + -5. Suppose l*s + 10 = -5. Suppose 9*y - 22*y + 13 = 0. Which is the nearest to y? (a) -4 (b) 4 (c) s b Let y(s) = -s**3 + 8*s**2 - 2*s - 11. Let n be y(7). Which is the nearest to -1? (a) 1 (b) n (c) -2/15 c Let t be (6/(-32))/(3/(-2)). Let k = -0.11 + 2.11. Let h = -4 + k. Which is the closest to h? (a) t (b) 0.1 (c) 4 b Let d be 2/10 + 121130/(-650). Let k = d - -186. What is the closest to 4 in 3, k, -0.4? 3 Let t = -0.15 - -0.05. Which is the nearest to t? (a) -4 (b) -6 (c) 0.2 c Let x(w) = -w**3 + w**2 - w - 1. Let b be x(1). What is the nearest to -5 in b, -0.2, 4? b Let y = -1 + 0. Let i = -0.7 - y. Let w = 0.7 + i. Which is the closest to w? (a) 3 (b) -3/7 (c) 0.1 c Let x = -0.2 + 0.1. Let h = 144.6 + -145. What is the nearest to x in -1, h, 0.1? 0.1 Let y = -0.4 - -0.4. Let j = -11 + 9.8. Let m = j - -1. Which is the nearest to -2/3? (a) -2 (b) y (c) m c Let m = -2 + 3. Which is the nearest to 0.1? (a) 0.5 (b) 2 (c) m a Let v = 7 - 11. Let f = v - -4. Which is the nearest to f? (a) -0.4 (b) -2/9 (c) -4 b Let o = -3.14 - -0.14. Let r = -3.1 - o. Which is the nearest to r? (a) -0.4 (b) 3/5 (c) 4 a Let i = 144 - 115. Which is the closest to -0.1? (a) i (b) -2 (c) -1/2 c Let b = -9.86 + 10. Let l = -4.14 + b. What is the closest to 0 in -1/2, -1, l? -1/2 Let d = -4 + -1. Let s be (4/(-8))/(2/40). Let p = s - -9. What is the closest to -1 in d, 5, p? p Let y be 2/(-9) - 25/9. Let j = 0.15 + -13.15. Let z = j - -8. What is the nearest to 0.1 in z, -1, y? -1 Let v = -0.1 + 0. Let r = 0 - -3. Let i = r + -7. Which is the nearest to v? (a) 3/2 (b) 1/4 (c) i b Let m be (7 - 4)*4/6. Which is the nearest to -1/3? (a) 0.1 (b) 3 (c) m a Let j = 14 - -11. Let p = -20 + j. Which is the closest to 2? (a) 2/11 (b) p (c) 1/4 c Let s = -2.03 + 0.03. Let v = 0.1 - 3.1. Which is the closest to s? (a) 0.3 (b) 2/11 (c) v c Let j = 95 + -99. What is the closest to -1/3 in 0.5, j, -2/11? -2/11 Let t = 0.7 - -1.3. Which is the nearest to 2/7? (a) t (b) 4 (c) -0.1 c Let v = 0.05 - 1.25. Let i = -1 - v. What is the nearest to -1 in -1/2, 1/6, i? -1/2 Let n = 0.3 - -0.7. Suppose -2*i - 2*a = 12, 2*i + 4*a + 0 + 20 = 0. Let p = 1/105 - 73/315. What is the nearest to -0.1 in p, i, n? p Suppose -5*h + 21 = 2*h. Which is the nearest to -1/4? (a) -11/4 (b) h (c) 1 c Let p be ((-12)/3 - -2)*(-25)/10. What is the nearest to 1/2 in -2/3, p, -3? -2/3 Let j be -6*7/2*-1. Let u be 46/(-14) + 6/j. Let m(s) = -s**2 + 4*s. Let k be m(4). What is the nearest to k in 0.3, u, 5? 0.3 Let v = 121 - 365/3. Let j be (1 - -1)/(-2)*-3. What is the closest to v in j, -0.5, 2/21? -0.5 Let d = -1092 - -25114/23. Let m = -3 - -2. Which is the closest to 0? (a) m (b) 0 (c) d b Suppose 2*f = f - 4. Let w = f + 12. Suppose 0 = -5*d + 3*d - w. What is the nearest to -2/5 in 3, d, 1/4? 1/4 Let l = -1/176 + 3/16. Let a be (1/(-2))/(7/(-4)). Let s = 4.96 - -0.04. What is the closest to -1/2 in s, a, l? l Suppose 0*w = -2*w - 6. Let c be w + (-22)/(-12)*2. What is the closest to c in -0.4, -0.3, -3? -0.3 Let v be 3 + (-19)/5 - (-49)/105. Let j = 5.05 + -0.05. What is the closest to 1 in j, v, 2/11? 2/11 Let x = -2 - -2.03. Let h = -1.97 - x. Let k = 1.6 - 1.7. What is the closest to k in h, 0, -0.5? 0 Let f be -1 - (9/12)/(-3). Let m = 28 - 27. Which is the nearest to 1/4? (a) f (b) -2/3 (c) m c Let p be (0 - -1)*(-2 + 1). Let x = 6.4 + -6. Let z be -3*(2 + (-18)/8). What is the closest to p in -0.2, x, z? -0.2 Let k = 0.81 - -0.09. Let s = -1 + k. Let r = 0.1 + s. What is the closest to r in -2, -3, 0.5? 0.5 Let o = -11 - -6. Let x = 9 + o. Which is the nearest to 0.1? (a) -2/5 (b) x (c) 0.4 c Let k = 28 - 27.8. Which is the nearest to k? (a) -0.3 (b) -0.4 (c) 2 a Let y be ((-1)/(-4))/((-24)/(-32)). Let u = -5 + 5. Let d = u - -3. What is the nearest to y in -0.2, d, 2? -0.2 Let j = 30.4 + -30. Let o = 1 - -1. Let w = -0.2 + 0.4. What is the closest to w in j, -1/2, o? j Let o = 8.9 - 10.9. What is the closest to 0 in 0.08, o, 0? 0 Let l be (-9)/(-36)*(0 - -2). Which is the closest to l? (a) 0.5 (b) -5 (c) -0.3 a Let t = 10 + -10.1. Let k = 1.2 - 0.2. What is the nearest to k in -3, 3, t? t Let w = -103/5 - -21. Let a = 0.5 - 0. What is the closest to 1/3 in -3, w, a? w Let r = 0.067 - -0.933. Let x = -119 + 117.06. Let b = x - 0.06. What is the closest to -2 in r, -0.3, b? b Let q = -0.59 - -0.23. Let g = 2 - 2.06. Let t = q - g. What is the nearest to 1 in 2/7, -3, t? 2/7 Let l be (-5)/(2*(-1)/(-2)). Let x = 1282/63 - 144/7. What is the closest to -1 in x, 1/2, l? x Let m = 1.7 + -1.7. What is the closest to m in -1/5, 0.3, 5? -1/5 Let m = -0.18 - 2.82. What is the nearest to -2/3 in m, 1, 3? 1 Let m = 1.1 - 4.1. What is the closest to -1 in 5, 2/3, m? 2/3 Let f be ((-4)/(-16))/(26/(-16)). What is the closest to -1/4 in -2, 2, f? f Let u = -23 - -22.6. Which is the nearest to u? (a) 1/9 (b) 1 (c) -0.2 c Let x = -2 - -3. Let r = -0.2 - -4.2. Which is the closest to x? (a) 3 (b) 1/8 (c) r b Let f = -5.22 - -0.22. What is the closest to 1 in 5, 2/7, f? 2/
{ "pile_set_name": "DM Mathematics" }
5 - -3.5. Put v, -1/3, r in decreasing order. v, r, -1/3 Let s be 0 + 4 + 9/(-2). Sort -0.1, 0, s in increasing order. s, -0.1, 0 Let p(z) = -6*z - 1. Let r be p(-1). Let u be 2/6 + (-34)/(-6). Suppose -6 = -2*n + 3*b, 2*n + 2*b = -3*b + u. Sort 2, n, r. 2, n, r Suppose i - 7 = -2. Suppose -i = -4*g + 3. Sort 5, -3, g in ascending order. -3, g, 5 Let b be (5/2 - 1) + (-3)/(-6). Put -4, 5, b in descending order. 5, b, -4 Let o be 30/9 - (-6)/9. Let t = o - 3. Sort t, -4, -6 in descending order. t, -4, -6 Let o = 14.17 + -0.17. Let h = o - 4. Let u = 10.5 - h. Put u, 1, 0.4 in ascending order. 0.4, u, 1 Let a be (-2)/10 + (-64)/(-20). Suppose z = -a*z + 12. Suppose -5 = 5*c + 5*q, 5*c - q - 25 = 4*q. Sort 0, c, z in descending order. z, c, 0 Let f = -12 - -11. Sort -5, f, 5 in increasing order. -5, f, 5 Let t be (-2 + 1)*(1 + -4). Suppose -5*u - 2*h - 10 = 0, -t*u + 3*h = 2*u + 10. Let q = -0.3 - -2.3. Sort u, q, -2/15. u, -2/15, q Let b be (-30)/9*(-12)/(-8). Let z = 1 + b. Sort z, 4, 2 in descending order. 4, 2, z Let p = 11 + -8. Let i(r) = -r**3 + 3*r**2 - r + 3. Let v be i(3). Suppose 4*c = -5*u - 23, 5*u + 2*c + 4 = -15. Sort p, u, v in increasing order. u, v, p Let y = -17 + 12. Let q be 8/10*15/6. Sort -3, y, q in increasing order. y, -3, q Let m = 3 - 5. Let j = m + 6. Put j, 0.3, 0 in decreasing order. j, 0.3, 0 Suppose -8 = i + 2*u, 3*i + 16 = -2*i - 2*u. Suppose -2*h - 18 = -5*o, -h + o - 10 = h. Sort h, i, 0 in decreasing order. 0, i, h Let h = 24 + -24.28. Let l = 2.72 - h. Let i be 2/5 + 6/(-15). Put 5, i, l in increasing order. i, l, 5 Let k = 2.6 + -1.6. Sort k, 2, -0.1. -0.1, k, 2 Let c(x) be the first derivative of x**3/3 + 3*x**2 + 3*x - 1. Let t be c(-4). Sort t, 4, 2 in descending order. 4, 2, t Suppose -3*v + 19 = 7. Suppose v*n + 4 = -0. Suppose 0 = 3*m - c - 7, -2*m = -2*c - 4 - 2. Sort -3, n, m in decreasing order. m, n, -3 Let c = 126 + -125. Let o = -5 + 10. Sort c, 2, o in descending order. o, 2, c Let p = 54 + -22. Suppose 0*f + p = 4*f. Sort 4, f, 1. 1, 4, f Let a = 3 - 6. Let f(w) = 4*w + 4. Let k be f(a). Let n be (-26)/k + (-2)/8. Sort -4, 1, n in decreasing order. n, 1, -4 Let o = 61/52 + -12/13. Sort -4, o, 1/3 in decreasing order. 1/3, o, -4 Suppose o + 2*l - 4 = 0, -2*o + 4*o = 4*l - 16. Let k be (1 - -4) + 2/(-2). Sort -3, o, k. -3, o, k Let h be (-1 + 0)*(-18)/6. Let k be 2/(-6)*h/8. Let b = 3.3 - 3. Sort -1, k, b. -1, k, b Suppose 5 = -2*c + 7*c. Let z(d) = -4*d**3 - 2*d + 2. Let x be z(1). Put x, -2, c in ascending order. x, -2, c Suppose 3*l = 2*x - 11, -2*x + 8*l = 3*l - 17. Let o be 25/15*(-9)/3. Let u(h) = h**3 + 4*h**2 - 5*h - 4. Let b be u(o). Sort 3, x, b. b, x, 3 Let s(m) = -2*m - 21. Let h(p) = -5*p + 6. Let y be h(3). Let r be s(y). Sort 1, 4, r. r, 1, 4 Let u = -2 - -2.1. Let z = -39 + 13. Let w be (-4)/z + (3 - 3). Put 0.2, w, u in decreasing order. 0.2, w, u Suppose -4 = -2*t - 3*g, 5*g - 8 = g. Let d be (-32)/(-30) + (-6)/15. Let i = d + -1/6. Sort -4, t, i in descending order. i, t, -4 Let n be (-2)/9 - 342/(-81). Suppose 0 = -m - n*f + 13, 0*f = 2*f - 4. Put m, 4, 0.4 in increasing order. 0.4, 4, m Suppose 0 = 2*y + 3*j - 11, -5*y + j + j - 1 = 0. Put y, 4, 3 in descending order. 4, 3, y Let j(g) = -4*g. Let s be j(4). Let o be (-2)/8 - 20/s. Let t = 3 - o. Sort 1, -2, t. -2, 1, t Let x = -1 - 0. Let j be -1 - (x - 6/(-39)). Sort j, 2, 0.5 in descending order. 2, 0.5, j Let z = 40 + -25. Sort 5, z, 1/5 in descending order. z, 5, 1/5 Suppose 5*w = -2*u - 16, w + 0 + 10 = 3*u. Let i = 4 + w. Let v be (1 + i)/((-10)/8). Put v, -2, 0.5 in decreasing order. 0.5, v, -2 Let d = -1 + -1. Let w = -1.6 - 0.4. Let t = w - d. Sort -3, t, -0.4 in decreasing order. t, -0.4, -3 Let b(g) = g**3 - 5*g**2 + 4*g - 5. Let r be b(4). Let f be (-1)/(2/(r - -3)). Let v be (0 + -1)/(1/3). Sort v, -1, f in decreasing order. f, -1, v Let r = 7.5 + -8. Sort -2/15, 3, r. r, -2/15, 3 Let m = 4.52 - -0.48. Sort -0.4, m, -1/8. -0.4, -1/8, m Let k(j) = j**3 - 2*j**2. Let q be k(2). Suppose -p + 0 - 2 = q. Let d be 3/(27/12 - 3). Sort -3, p, d. d, -3, p Let t(q) = -q. Let g be t(-5). Sort -2, 4, g in ascending order. -2, 4, g Let x = 1 + -1.4. Let y = -1 + 2. Sort x, -1/4, y in increasing order. x, -1/4, y Suppose 0 = -3*z - 18 + 6. Let l be (5/25)/(z/25). Put l, -1, -2 in ascending order. -2, l, -1 Let u = -2/593 + 2382/2965. Put u, 4, -1/9 in decreasing order. 4, u, -1/9 Let p = -0.3 - 0.7. Let i = -1 + p. Let w = 0.04 + 0.96. Sort -2/11, i, w in increasing order. i, -2/11, w Let d = 65 + -64.9. Put 1/14, -0.1, d in increasing order. -0.1, 1/14, d Let f = -8.29 + 0.29. Let a = 7 + f. Suppose 5*q - 3 + 23 = 0. Sort q, 4, a in decreasing order. 4, a, q Let x = -30 - -25. Put x, 0, 1 in decreasing order. 1, 0, x Let f = -39 - -39. Put 3, -0.1, f, 7 in descending order. 7, 3, f, -0.1 Suppose 0 = 5*k - 2 - 3. Let r(b) = 8*b**2 + 6*b**2 - 2 + 0*b - 9*b**2 - b. Let q be r(-1). Put 5, k, q in increasing order. k, q, 5 Let c(w) = -w**3 + 7*w**2 + 3. Let a be c(7). Suppose -2 - 6 = 2*d. Sort a, 5, d. d, a, 5 Suppose -5*c = m - 8 - 23, -2*c + 10 = m. Suppose t - 3*i = 3*t + 4, -t = -3*i - c. Let j = -32 - -30. Sort 3, t, j in descending order. 3, t, j Suppose 0*s + 2*s - 4 = 0. Let m = -55.7 - -56. Put m, s, 2/3 in descending order. s, 2/3, m Let y = 33 + -23. Let m be (-50)/(-60)*8/y. Put -0.4, m, -5 in increasing order. -5, -0.4, m Let b = 147 - 1895/13. Let q = 25/52 - b. Put 2/3, q, 1 in descending order. 1, 2/3, q Suppose 0*f = 3*f. Let x = -2 - -2.4. Suppose 0 = -4*d - 4*k - 32, 3*d = -0*d + 3*k. Put d, f, x in decreasing order. x, f, d Let y = -88 + 93. Let f = 4.02 - 0.02. Sort -1, y, f in increasing order. -1, f, y Let i be 0 - (2 + -1 + -4). Sort 4, -2, i, -4 in decreasing order. 4, i, -2, -4 Let j(y) = -4*y + 13. Let n be j(7). Let b be (-12)/(-90) - (-77)/n. Put 4, 5, b in descending order. 5, 4, b Let t = 3 - 1. Suppose 1 = 3*y + 4. Put t, 0.5, y in descending order. t, 0.5, y Let s = -7 - -8. Let n = s + -0.6. Sort -0.5, -5, n in decreasing order. n, -0.5, -5 Suppose 0 = -2*k + 49 - 9. Let o be (5/k)/(2/4). Put 4, -0.2, o in decreasing order. 4, o, -0.2 Let p = 0.04 + 0. Let v = -0.06 - p. Let x = -0.5 + 0.3. Put x, 4, v in descending order. 4, v, x Let g be 8/(-3)*(-6 + -1)/(-14). Put g, 0.4, -2, -0.5 in descending order. 0.4, -0.5, g, -2 Suppose 4*i = -k + 2, -i = -5*i. Sort -5, k, -2, 5 in descending order. 5, k, -2, -5 Suppose -2*q - 3 = -3*r - 17, -1 = -q. Put r, 2, -3/2 in increasing order. r, -3/2, 2 Let f be ((-2)/8)/((-14)/16). Let a = 0.6 + -0.6. Let o = 0.2 - a. Sort f, o, -1 in decreasing order. f, o, -1 Let k(d) = d**2 - 6*d - 6. Let w be k(6). Let i be w/4 - (-3)/2. Sort i, -1, -3. -3, -1, i Let g(h) = h + 13. Let z be g(-8). Suppose z*a = 6 + 4. Put -1, a, -2 in descending order. a, -1, -2 Let v(l) = -l**3 - 6*l**2 + 8*l + 5. Suppose 0 = -2*y - 2*w + 2 - 18, y - 3*w + 4 = 0. Let h be v(y). Sort 5, h, -3 in descending order. 5, h, -3 Let o = 30.7 + -32. Let r = 2.3 + o. Sort -0.2, r, -2 in descending order. r, -0.2, -2 Let g = 0.06 + 0.14. Let b = 6 + 2. Let r = -4 + b. Put g, 3, r in descending order. r, 3, g Let p be (-1)/(-2)*(-25 - -25). Let q = -12 - -17. Sort p, 1, q in decreasing order. q, 1, p Let q be ((-27)/(-9))/((-6)/(-4)). Suppose q*l = l - 2, 16 = 4*a - 4*l. Sort -2, 0, a in descending order. a, 0, -2 Let l(w) = w**3 - w**2 - w - 111. Let f be l(0). Let v = 775/7 + f. Suppose -2*y - 5*z = -10, -28 = 4*y - 2*z - 0*z. Sort v, 1/4, y. y, v, 1/4 Let d = 35 + -36. Sort d, 0, 16 in decreasing order. 16, 0, d Let y = 4.99 - 5. Let v = y - -0.11. Let s = v - 0.6. Put s, 0.4, 0.5 in decreasing order. 0.5, 0.4, s Suppose -76 = -4*r + 4*b, -2*b + 0*b + 52 = 4*r. Let s be (-42)/r - (-1)/(-5). Let a = 2 - s. Put a, -2, 0 in descending order. a, 0, -2 Let l = 0.17 + -0.19. Let v = l - 0.08. Sort v, -0.4, -4/9 in decreasing order. v, -0.4, -4/9 Let v be 13/2 - 2/4. Suppose 0 = -a - a - v. Let o = a - -4. Put -3, 5, o in decreasing order. 5, o, -3 Let o(b) be the first derivative of -b**4/4 - b**3/3 + 1. Let w be o(-2). Sort 3, 2, w. 2, 3, w Let n(l) = l**3 - l**2 + l - 4. Let v be n(0). Sort -3, 0, 4, v in descending order. 4, 0, -3, v Let v = -4 - -3.7. Let w = -10 + 5. Let l = 6 - 3. Sort w, v, l
{ "pile_set_name": "DM Mathematics" }
1 + 0*x**2 - 86*x. Is g(-7) a multiple of 11? True Suppose 10*s - 425 = 865. Is 12 a factor of s? False Let p be -2 - 5/((-10)/12). Suppose -3*j + 5*j - p = 0. Suppose 0 = 2*g + g - 3*x - 105, 5*g - 182 = -j*x. Is g a multiple of 12? True Let k = -9 - -12. Suppose 2*y = k*x - 2*x - 12, 4 = 3*x + 2*y. Is 4 a factor of x? True Suppose -5*w - 5*o + 18850 = 0, -2*o - 4031 = -3*w + 7284. Is w a multiple of 34? False Suppose -4*i + k + 1464 = -3*k, 0 = i + 2*k - 354. Is i a multiple of 18? False Let s = -22 + 108. Is 28 a factor of s? False Let f(p) = 3*p + 6. Let d be f(-8). Is 34 a factor of 84 - (-9)/(d/(-8))? False Suppose -4*n + 16 = -n + 5*z, 4*z = -n + 10. Suppose n*l = -l. Suppose 0 = 5*j - l*j - 240. Does 12 divide j? True Suppose 0 = 3*f + 2*x + 1, 4*f + 2*x - 6*x - 32 = 0. Is 10 a factor of f/6 - 2/((-8)/366)? False Suppose -54 + 9 = -5*c. Let o = 154 + -64. Suppose -c*n + o = -6*n. Does 6 divide n? True Is 6/(-54) - 82820/(-180) a multiple of 5? True Let n = -9 + -39. Let r be n/(-10)*(-70)/(-21). Suppose 4*m - 4*q - r = -0*q, -m = -4*q + 11. Is m a multiple of 3? True Let y be (132/(-9))/((-4)/18). Suppose 3*t - 4*r - y = 0, 4*t + 2*r - 88 = -r. Does 11 divide t? True Suppose 83 = 3*t + 3*z - 10, 5*t - 3*z - 171 = 0. Suppose -2*l + 3*n = t, -4*l - 2*n - 71 = -3*n. Let p = l - -27. Is p a multiple of 9? True Suppose 3*i + 2*i = 3*a + 128, 0 = -3*a + 4*i - 133. Let h = a - -84. Is h a multiple of 11? True Let u = -1049 - -1484. Is 6 a factor of u? False Let t be (0 + 3)*2*-1. Let n = -6 - t. Suppose -w + 3*v = -13, n*w + 35 = 2*w + 3*v. Is 8 a factor of w? True Let h(p) = p - 31. Let l be h(14). Let v = l + 22. Suppose 24 = -v*i + 4, 3*s + 5*i - 202 = 0. Is s a multiple of 26? False Let m = -297 - -447. Suppose 4*b = -b + m. Suppose 4*c - b = 3*c. Is c a multiple of 15? True Let b(w) = 189*w**2 + 5*w + 4. Does 51 divide b(-1)? False Let v(n) = -10*n + 1. Let y be v(1). Let g(f) = f**2 - 5*f + 22. Let t be g(y). Suppose -3*i + t = k, -2*k = -2*i + 72 + 16. Does 6 divide i? True Let d = 1147 + -954. Does 16 divide d? False Let t = -226 - -863. Does 19 divide t? False Let t(g) = g + 3. Let k(z) = z + 4. Let o(x) = 5*k(x) - 4*t(x). Let p be o(-4). Suppose p*v - 25 = 3*v. Is 9 a factor of v? False Suppose 3*l - 5*l + 1021 = d, 6 = -2*d. Is l a multiple of 16? True Let z = 1245 - 179. Does 13 divide z? True Let o(a) = 1. Let i(t) = -31*t - 3. Let f = -10 - -9. Let y(b) = f*i(b) - 3*o(b). Is y(1) a multiple of 9? False Let w = 241 - 169. Suppose 50 = -5*r - 2*v + 219, 2*r - w = -3*v. Does 11 divide r? True Let b(w) = w**3 + 36*w**2 - 19*w - 38. Is 12 a factor of b(-36)? False Let b(u) = 41*u**2 + 5*u - 10. Does 22 divide b(3)? True Suppose 0*r = r - 3. Suppose 2*m = r*m + 24. Let s = -11 - m. Is s a multiple of 13? True Let d(f) = f - 4. Let h be d(4). Suppose h = 3*a - 50 - 70. Is a a multiple of 20? True Let d(f) = -f + 37. Let r be d(12). Does 25 divide (2 - r/10)/(3/(-300))? True Let t be (-18)/(-5) - (-22)/55. Suppose -t*l + 15 = -153. Does 6 divide l? True Let d be 1474/(-187) + 4/(-34). Is 9 a factor of (-6 - 327/(-6))/((-2)/d)? False Let y(b) = 5*b**2 - 2*b + 1. Let t be y(1). Let l be (t + -2 - 1) + 264. Suppose -3*c + l = 1. Is c a multiple of 26? False Let m(i) = i**2 + 15*i + 152. Does 32 divide m(-8)? True Suppose -12 = -5*c + 8. Suppose c*w = 5*w - 10. Does 3 divide w? False Let s = 1671 - 1567. Is s a multiple of 3? False Let z(s) = 2*s**2 - 9*s + 54. Let n(c) = c**2 - 4*c + 27. Let u(w) = 5*n(w) - 2*z(w). Is 13 a factor of u(7)? False Let x(s) = 2*s**3 - 15*s**2 + 9*s + 10. Is 13 a factor of x(9)? False Suppose -18*s = -20*s + 124. Is s/217 + 0 + (-1676)/(-14) a multiple of 12? True Is 32 a factor of 4 - ((3 - 7) + 8) - -95? False Let c be (5 + 2)/(-1)*(-720)/(-42). Let a = c + 129. Is 2 a factor of a? False Suppose 5*y = 29 + 111. Suppose 0 = -7*c + 3*c. Suppose -s - r = -y, -r + c*r = -s + 38. Is 11 a factor of s? True Suppose 101*v - 96*v - 515 = 0. Is 18 a factor of v? False Suppose 3*y - y + 5*c = 3340, 0 = -y + 2*c + 1661. Is 15 a factor of y? True Suppose 0 = 14*n - 5430 - 2242. Is 16 a factor of n? False Let j(y) = -y**3 + 15*y**2 - y + 5. Let o be j(14). Suppose o + 422 = 7*n. Does 33 divide n? False Suppose 0 = -3*q + 3*r + 12, 2*q - 3*q + 16 = -5*r. Let b = q + 53. Is b a multiple of 8? False Suppose 54516 = -4*s + 48*s. Does 99 divide s? False Let p = 320 - -1240. Does 39 divide p? True Suppose -3*q - 4*p = 4, 0*p + p = 5*q - 1. Is 28 a factor of (-3)/((-6)/394) + q + 1? False Let x(l) = -l**2 + 29*l - 2. Is 13 a factor of x(14)? True Suppose 8*f - 5*f = -138. Let w = f + 70. Is w a multiple of 5? False Suppose -2*g = 2 - 8. Does 20 divide ((-86)/(-6))/(g/9)? False Let t be ((-34)/(-4) - 1)*(-8)/(-10). Let r = t - 0. Is r a multiple of 6? True Let r = 42 + -38. Suppose 4*u - 52 = r*c, c + 95 = 5*u + 18. Is 3 a factor of u? False Suppose -5*z + 900 = -z + 2*h, 4*h = 0. Does 9 divide z? True Let a = 1015 + 42. Suppose 10*w + a = 17*w. Is w a multiple of 16? False Let v = 191 - 141. Is v a multiple of 5? True Let h(n) = -9*n + 3. Let k be 4*(3/(-3) + 2). Let u = 2 - k. Is h(u) a multiple of 12? False Let c(r) = 18*r - 15 - 4*r**2 + 3*r**2 + 2. Is c(13) a multiple of 13? True Suppose -4*c = -9*c + 2*r + 5006, 0 = -5*c - 4*r + 4988. Does 8 divide c? True Let f(b) be the third derivative of -b**6/120 + 3*b**5/20 - b**4/4 + 11*b**3/6 + 6*b**2. Let t be f(8). Let s = 58 - t. Is 19 a factor of s? False Let y be (4/3)/(10/(-255)). Let n = -25 - y. Is n a multiple of 2? False Let p be (-2*3 - 3) + 3. Let f be (6/9)/((-1)/p). Does 14 divide (38/4)/(f/8)? False Suppose 48 = 8*k - 152. Suppose k = i - 71. Is 16 a factor of i? True Let a(r) = 163*r**2 + r + 2. Let h be a(-1). Let q = h + 27. Does 12 divide q? False Suppose -6*s + 87 = -3. Let n be ((-16)/(-40))/(2/s). Suppose 5*g - g - 23 = -5*q, -n*q - 1 = -5*g. Is 3 a factor of q? True Let s(m) = -m**2 + 8*m + 12. Let v = -9 - -4. Let a be s(v). Let k = 19 - a. Is k a multiple of 25? False Let x(g) = 5*g**3 - 11*g**2 - 5*g - 16. Let b(k) = -14*k**3 + 32*k**2 + 15*k + 48. Let d(i) = -4*b(i) - 11*x(i). Let j be 306/39 - 4/(-26). Does 8 divide d(j)? True Let d = 6 - 36. Does 20 divide (-6 - 2)/(3/d)? True Let r be 3 - 4/4 - -1. Suppose 3*u = -5*y + 5*u + 121, -r*u = -3*y + 69. Let x = y - -47. Is 18 a factor of x? True Suppose -450 = 53*t - 71*t. Is t a multiple of 3? False Let o(a) = a**3 + 7*a**2 - 4*a - 3. Let v(f) = 2*f**3 + 13*f**2 - 7*f - 6. Let x(i) = 7*o(i) - 4*v(i). Let n be x(-3). Is n/2 + 105/6 a multiple of 14? False Suppose -2*a + 5*h + 138 = 4*h, -3*a = -h - 207. Is 15 a factor of a? False Let x(h) = 358*h - 1180. Is 6 a factor of x(5)? False Let q(o) = 2*o + 12. Let a be q(6). Let i = -5 + a. Suppose i = s + 2*r, -3*r - r - 109 = -5*s. Is s a multiple of 21? True Let s(v) = 1 + 2*v**3 - 8*v**2 - 3*v**3 + 6 + 3. Let l be s(-7). Let g = l + 87. Does 16 divide g? True Suppose -d = -5*d + 588. Let t = d - -177. Does 54 divide t? True Suppose 95*t - 109*t = -8946. Is 8 a factor of t? False Suppose 1254 = -4*k + 4374. Does 35 divide -2 - (-5)/(25/k)? False Let z(l) be the second derivative of -l**4/12 + 3*l**3/2 - 15*l. Let b be z(9). Suppose t - 2*t + 38 = b. Is 19 a factor of t? True Let i = 620 - 578. Is i a multiple of 14? True Let z(m) = -10*m + 3. Let a be 6 - (-1 + 3/1). Suppose -3*s = 3, -3*s + 1 = -a*o - 8. Is z(o) a multiple of 14? False Let f = -499 - -246. Let k = -338 + 741. Let r = k + f. Is 38 a factor of r? False Let c(u) = u**3 + 5*u**2 + u - 3. Let d be c(-5). Is 2 a factor of 4 + d - -25 - 5? True Let s(z) = -6*z**2 + 5*z + 1. Let u be s(-5). Let h(v) = -v**2 + 2*v - 90. Let q be h(0). Let n = q - u. Is n a multiple of 34? False Suppose -k + 32 = -61. Is k a multiple of 13? False Let c(a) = 75*a + 190. Does 34 divide c(17)? False Let r(i) = 2*i**3 - 13*i**2 + 13*i - 35. Is 39 a factor of r(8)? False Let d be 3/3*43 - 1. Suppose 4*f - 202 = -58. Does 18 divide (f/21)/(2/d)? True Let o be (-604)/(-2)*(-18)/36. Let x = -112 - o. Is 3 a factor of x? True Let z = 11 + -21. Let t = z - -14. Suppose 3*d - 53 = -4*u + 21, 22 = d + t*u. Is d a multiple of 13? True Is 1690/(-2)*(0 - 1) a multiple of 13? True Let z(g) = 5*g**2 + 2*g + 2. Let c be z(-1). Suppose
{ "pile_set_name": "DM Mathematics" }
culate -10*n(g) + 3*v(g). g**2 + 2*g + 829 Let p(x) = 43*x**2 + 4*x + 4. Let t(u) = -217*u**2 - 22*u - 22. Calculate -33*p(o) - 6*t(o). -117*o**2 Let i(u) = -9*u + 12119. Let v(a) = -12*a + 16162. What is 9*i(p) - 7*v(p)? 3*p - 4063 Let b(g) = 11*g**3 - 7*g**2 + 9*g. Suppose 22*d + 136 = -30*d - 228. Let p(k) = -5*k**3 + 3*k**2 - 4*k. Calculate d*p(z) - 3*b(z). 2*z**3 + z Let u(r) = -4*r**3 - r**2 + 8. Suppose -2*d = 3*k - 28, -5*d - 884 = 5*k - 939. Let c(z) = -11*z**3 - 3*z**2 + 23. Calculate k*c(v) - 17*u(v). 2*v**3 - v**2 + 2 Let j(a) = -3801*a - 51. Let m(f) = 3801*f + 41. Give 4*j(o) + 5*m(o). 3801*o + 1 Let z(k) = -79*k + 73*k - 6961 + 6956. Let h(g) = g - 1. Give -3*h(y) + z(y). -9*y - 2 Let k(i) = 67*i**2 - 15. Let z(r) = 141*r**2 - 29. Calculate -13*k(a) + 6*z(a). -25*a**2 + 21 Let p(y) = -1446*y - 3. Let g(c) = 27*c - 1. Give 3*g(t) - p(t). 1527*t Let n(j) = -17554*j**2 - 938*j + 938. Let m(p) = -150*p**2 - 8*p + 8. What is 469*m(o) - 4*n(o)? -134*o**2 Let d(m) = -m + 1. Let j(h) = 1. Let b(u) be the third derivative of 20*u**3/3 - 74*u**2. Let p(w) = -2*b(w) + 88*j(w). What is 8*d(x) - p(x)? -8*x Let n(r) = 4*r + 3*r + 124092 - 124092. Let s(t) = -21*t. Calculate -14*n(c) - 4*s(c). -14*c Let l(o) = -o**2 - o + 1. Let i(c) = -28*c + 30*c + 6 - 59*c**2 + 62*c**2. Determine i(p) + 2*l(p). p**2 + 8 Suppose 0 = 82926*v - 82961*v - 105. Let c(q) = 15*q**3 - 2*q + 3. Let r(z) = 16*z**3 - 2*z + 3. What is v*r(y) + 2*c(y)? -18*y**3 + 2*y - 3 Let j(y) = 25*y**3 - 102*y**2 - 11*y - 29. Let s(k) = 5*k**3 - 19*k**2 - 2*k - 5. Give 2*j(f) - 11*s(f). -5*f**3 + 5*f**2 - 3 Let k(a) = -4*a**2 + 10*a - 4. Let g(f) be the second derivative of -f**4/12 + f**3/2 - f**2/2 - 942*f + 2. What is 7*g(t) - 2*k(t)? t**2 + t + 1 Let s(p) = 20*p**3 + 10*p**2 - p - 5. Let k(t) = 36*t**3 + 21*t**2 - 2*t - 9. Determine 3*k(i) - 5*s(i). 8*i**3 + 13*i**2 - i - 2 Let g = -40940 - -40935. Let t(y) = -15*y**2 + 5*y - 5. Let u(w) = -7*w**2 + 7*w + 5. Let c(b) = b**2 - b - 1. Let h(k) = -6*c(k) - u(k). Give g*h(i) - t(i). 10*i**2 Let t(f) be the first derivative of -37*f**2/2 + 5*f + 586. Let m(k) = 1664*k - 224. What is -5*m(p) - 224*t(p)? -32*p Let x(u) = 4*u**2 + 2*u - 5. Let q(j) be the second derivative of 5*j**4/12 + j**3/3 - 3*j**2 - 303*j. Give 3*q(y) - 4*x(y). -y**2 - 2*y + 2 Let j(p) = -23*p + 5. Let m(n) = -11*n + 2. Let k = 14343 + -14353. What is k*m(z) + 4*j(z)? 18*z Let c be -3*2/21*(-6 - 8). Let a(o) = 3*o**3 + 17*o**2 + 14*o - 11. Let n(p) = p**3 + 6*p**2 + 5*p - 4. Give c*a(v) - 11*n(v). v**3 + 2*v**2 + v Let a(u) = -u**2 + 2*u. Let c(s) = -8*s**2 - 29*s + 65. Let p(w) = -w**2 - 5*w + 10. Let t(b) = 6*c(b) - 39*p(b). Calculate -42*a(h) + 4*t(h). 6*h**2 Let v(c) = -18818*c + 388. Let q(m) = -34*m + 1. Give -388*q(r) + v(r). -5626*r Let u(f) be the first derivative of f**2 - 6*f - 3. Let j(l) = l + 73. Let o(b) = -b - 16. Let x(w) = -j(w) - 4*o(w). Let h = -14 - -7. Give h*u(i) + 5*x(i). i - 3 Let q(o) = o**2 + 1. Let r(c) = 8*c**2 + c + 6. Let v = -22 - -21. Let l(h) = v*r(h) + 4*q(h). Let b(j) = -j**2. Let w = 18 - 16. What is w*b(k) - l(k)? 2*k**2 + k + 2 Let y(g) = 40*g - 24. Let z(u) = -8*u + 5. Suppose -4*p + 91 = 14*i - 13*i, 52 = 3*p + 4*i. Give p*z(l) + 5*y(l). 8*l Let t = -9812 - -9813. Let z(l) = -l**3 - l. Let h(o) = 24*o**3 + 5*o. Determine t*h(q) + 5*z(q). 19*q**3 Let j(p) = -p + 8. Let z be (-2 - -7)*6/(120/124). Let t be (2 + -15 + z)/(1*2). Let o(x) = 2. What is t*o(b) - 2*j(b)? 2*b + 2 Let g be ((-30)/(-70))/((-45)/420). Let t(o) = -23*o + 4. Let l(z) = z - 1. Give g*l(s) - t(s). 19*s Let h(b) be the second derivative of b**3 + 3*b**2/2 - 42265*b. Let s(d) = 6*d + 4. Let j be ((-6)/4)/((-2)/4). Determine j*h(m) - 2*s(m). 6*m + 1 Let o(u) = 4*u. Let w = -145 + 221. Let g = w + -69. Let v(s) = -6*s. Give g*o(l) + 4*v(l). 4*l Let l(x) = 8*x - 6. Let a(b) = -b**3 - 7*b**2 - 15*b - 37. Let c be a(-8). Suppose m - c = -153. Let u(d) = d - 1. Give m*u(g) + l(g). 2*g Let b(l) = -10*l**2 - 4*l + 4. Let q = 361 - 352. Suppose -4*g + 28 = 5*n, -5*n - g = -q - 13. Let z(x) = x - 1. Determine n*z(f) + b(f). -10*f**2 Let h(n) = 5*n**3 + 3*n**2 + n. Let k(p) = 6*p - 15*p + p**3 + 12*p - 29*p**2 + 13*p**3 + 37*p**2. Suppose 0 = 2*y + 8 - 0. Give y*k(s) + 11*h(s). -s**3 + s**2 - s Let s(g) = -g**3 + 5. Let v(m) = 84*m**3 - 2*m**2 + m + 55. Determine 11*s(f) - v(f). -95*f**3 + 2*f**2 - f Let r(y) = 4*y**2 - 6*y + 7. Let q(z) = z - 10. Let t be q(10). Let n(s) = 58*s + 3*s**2 + 6 + t - 63*s. Calculate 7*n(o) - 6*r(o). -3*o**2 + o Let m = -74 + 20. Let k = m + 56. Let x(t) = -t**2 + 3*t + 2. Let p(h) = -4*h**2 + 10*h + 6. Give k*p(z) - 7*x(z). -z**2 - z - 2 Let u(o) = -o - 1. Let k(x) = 8*x - 38. Let p be k(6). Suppose 4*l + 12 + 16 = 0. Let s = p + l. Let i(d) = -3. Determine s*u(g) - i(g). -3*g Let f(q) = -64 - 5*q**2 - 68 - q + 127. Let s(i) = 5*i**2 + i + 4. Determine 4*f(n) + 5*s(n). 5*n**2 + n Let c(m) = -2*m**3 - 5*m**2 + 5*m. Let g(q) = -q**3 - 6*q**2 + 6*q. Suppose 91*o = -506 - 85 + 136. Calculate o*g(d) + 6*c(d). -7*d**3 Let l(v) = 63*v**2 - 7*v - 2. Let x(n) = 251*n**2 - 32*n - 7. Determine 9*l(s) - 2*x(s). 65*s**2 + s - 4 Let q(p) = -11*p**3 - 87*p**2 - 6*p + 6. Let t(a) = 23*a**3 + 175*a**2 + 13*a - 13. Calculate 13*q(z) + 6*t(z). -5*z**3 - 81*z**2 Let g(j) = 3*j**2 + 2*j - 2309. Let n(w) = -w**2 - w + 769. Calculate 3*g(m) + 8*n(m). m**2 - 2*m - 775 Let g(r) = -3*r. Suppose 2*z + 448 = 18*z. Suppose 0 = -z*l - 115 - 109. Let f(j) = -9*j + 1. Determine l*g(a) + 3*f(a). -3*a + 3 Let x(l) = 2*l**2 + 2*l - 3. Let i(n) = 62*n**2 + n + 61*n**2 - 169*n**2 - 2 + 47*n**2. Give -5*i(a) + 3*x(a). a**2 + a + 1 Let g(t) = 3*t + 1. Let a(b) = -13*b - 5. Let s be (0 + -1 + 37)/(124 - 122). Let i(h) = h - 2. Let l be i(6). Calculate l*a(d) + s*g(d). 2*d - 2 Suppose 3*b = -136*n + 137*n + 2, 5*b = -5*n + 30. Let t(r) = -4*r - 1. Let a(c) = 21*c + 4. Determine b*a(d) + 11*t(d). -2*d - 3 Let a(f) = 174 - 98 + 0*f - 7*f - 77. Let u(x) = -10*x - 1. Calculate -7*a(s) + 5*u(s). -s + 2 Suppose -103 = 190*m - 293. Let q(g) = 120*g + 65. Let b(n) = -11*n - 6. Let y(s) = -65*b(s) - 6*q(s). Let k(t) = t. Give m*y(v) - 2*k(v). -7*v Let v(d) = -44*d**2 + 7*d + 7. Let q(a) = 22*a**2 - 4*a - 4. Suppose 0 = -16*y - 6*y + 132 + 22. Determine y*q(s) + 4*v(s). -22*s**2 Let v(b) = -802976*b + 122192. Let z(n) = 26*n - 4. What is -2*v(a) - 61096*z(a)? 17456*a Let n(i) = -3 - 30*i + 16*i + 15*i. Let t(w) = -3*w + 8. Let c = 195 + -184. Give c*n(v) + 4*t(v). -v - 1 Let w(c) = 6*c - 2. Let s(u) be the third derivative of -66*u**2 + 1/2*u**3 - 5/24*u**4 + 0*u + 0. Give 3*s(j) + 4*w(j). 9*j + 1 Suppose 1 = q + 2. Let a(l) = -l**2 - l. Let d(z) be the third derivative of 7*z**5/60 - z**4/8 - 4*z**2 + z + 746. Give q*d(b) + 3*a(b). -10*b**2 Let m(b) = -26*b**2 - 3*b + 80. Let p(z) = -52*z**2 - 5*z + 166. Give 7*m(g) - 4*p(g). 26*g**2 - g - 104 Let z(a) = -112*a + 800. Let x(m) = 23*m - 159. Give -11*x(l) - 2*z(l). -29*l + 149 Let v(q) = -838*q**3 - 45*q**2 - 7*q. Let r(o) = 419*o**3 + 26*o**2 + 4*o. Give 7*r(t) + 4*v(t). -419*t**3 + 2*t**2 Let g(z) = 11*z**3 - 8*z**2 - 20*z. Let n(t) be the third derivative of t**6/30 - t**5/20 - 7*t**4/24 + t**2 - 924*t. What is 6*g(w) - 17*n(w)? -2*w**3 + 3*w**2 - w Let p(l) = -24*l - 32 + 20*l - 183*l**2 + 17 + 19*l. Let u(g) = -46*g**2 + 4*g - 4. What is 4*p(r) - 15*u(r)? -42*r**2 Let o(k) = 3*k - 1. Let q(c) be the third derivative of -c**4/6 - 9*c**2. Let d = 138 + -141. Let h be (-1 - -1) + (-4)/2. Calculate d*o(f) + h*q(f). -f + 3 Suppose -4*p = 5*o - 3*o - 6, -o + 1 = 0. Let s(x) = 5*x + 0*x - 4*x. Let j(u) = -9 - 10 + 4*u + 17 + 1. Give p*j(g) - 6*s(g). -2*g - 1 Suppose -1 = -6*w - 7. Let u(d) = 7*d**2 - d - 2. Let b(p) = -p**2 + 7*p - 4. Let n be b(6). Let l(y) = y**2 - 1. Determine n*l(i) + w*u(i). -5*i**2 + i Let r(b) = -16*b**2 + 6*b - 11. Let x(z) = -13*z**2 + 4*z - 9. Calculate -6*r(c) + 7*x(c). 5*c**2 - 8*c + 3 Suppose 117 = 3*y + 63. Suppose -y = 7*a - 4. Suppose -2*u = 2 + 4, -4*t - 35 = -3*u. Let n(m) = m. Let h(i) = i**2 - 4*i + 1. Determine a*h(p) + t*n(p). -2*p**2 - 3*p - 2 Let x(w) = 47169472*w. Let o(h) = -11975*h. Give 11816*o(n) + 3*x(n). 11816*n Suppose -59*f + 56*f - 41 = 4*c, 0 = -c - f - 11. Let j(y) = -y**3 - y**2 - y
{ "pile_set_name": "DM Mathematics" }
5 0 + (-2 - -5 - 3) 0 Evaluate -5 + (-3 + 2 - -3). -3 -3 + 1 - -4 - (-4 + 1) 5 Calculate (-4 - 0) + 0 + 3. -1 Calculate (9 - 3) + 2 + -4. 4 What is the value of 38 + -28 - (5 - 1)? 6 What is 197 + -201 + (13 - 1 - 0)? 8 Evaluate -2 + 2 + 1 - (-2 + 8). -5 What is -9 + (0 - -2 - -3)? -4 Evaluate -4 - (-8 + 3) - -1. 2 What is 0 + 10 - (-66 + 81)? -5 What is (2 + 4 - 5) + 3? 4 What is (0 - (0 - 2)) + 0? 2 What is 36 + -34 + (-6 - 1)? -5 What is the value of -5 - (-2 + 2 - (-1 + 6))? 0 What is the value of (1 - (7 - (7 - 4))) + -4? -7 -17 - -20 - (-1 + 6 + 2) -4 Calculate (15 - 24) + 4 + 4 + -3. -4 Calculate -12 - ((-4 - 0) + 0) - 3. -11 What is the value of -5 + -2 + -3 + 5? -5 -3 - (-3 - (-7 + 4)) -3 -6 - -2 - -3 - -5 4 Calculate 10 + -16 - (-3 + 1). -4 What is the value of 12 + (-6 - (0 - -3))? 3 What is the value of (-24 - (-11 - 1)) + 13? 1 Calculate 5 + (6 + 0 - 8) - 10. -7 (-2 - 1) + -1 + 2 -2 Evaluate 2 - ((-11 - -7) + (7 - 1)). 0 Calculate 15 + -15 - ((2 - 3) + -1). 2 Evaluate -2 + (-15 - -15 - (1 - -1)). -4 What is the value of 1 + (-7 - -10) + (2 - -1)? 7 What is the value of -5 + 2 - 2 - -5? 0 Calculate -29 + 27 + (-2 - -3). -1 Evaluate (68 - 64) + (-2 - (-1 + 0)). 3 Evaluate (-28 - -6) + 13 + (1 - -7). -1 Calculate -2 - 4 - -2 - 1. -5 What is 18 + -10 + -9 + 2? 1 Calculate -83 + 91 - (2 - 3). 9 What is the value of 21 - 11 - (3 + (-3 - -7))? 3 What is -5 + (-17 - -3) - -11? -8 What is 3 - (2 - (-2 - 3))? -4 Calculate (-4 - 2) + 4 + -2 + 2. -2 (9 + -15 - -11) + (-2 - 0) 3 What is 9 + -1 + -1 - 5? 2 What is the value of -1 - (-1 + 7 - 7)? 0 3 + -10 + 2 + 4 + 0 -1 What is 5 + 1 + -4 + 2 + -2? 2 (1 - 1) + -5 + 8 3 Evaluate (3 - 1) + -4 - (-4 - -3). -1 What is 2 + -3 + (-5 - -3 - -6)? 3 Evaluate (-2 - -4) + -3 + 10 + -14. -5 What is the value of 2 - -4 - (5 - (-3 - -2))? 0 What is the value of (0 - (-5 + (-3 - -4))) + -3? 1 What is the value of 0 + (12 - (18 + -14))? 8 What is the value of -4 - (6 - (-8 + 21 + -5))? -2 Evaluate 5 + 1 + -3 + -8 + 11. 6 Evaluate 0 - 1 - 0 - 0. -1 What is the value of -8 - (3 - (4 - -9))? 2 Calculate 0 - (-4 - -6) - -2. 0 What is the value of (-2 - (2 - (7 + -8))) + 15? 10 What is (0 - -9) + (24 - 27) - 0? 6 What is 9 + (3 - 7) - 3 - 7? -5 Calculate -1 - (-5 - (-5 + 1) - -2). -2 Evaluate -45 + 50 + (-1 - 2). 2 What is the value of 7 + -8 + -6 - -11? 4 What is 2 - ((-1 - 2) + 1)? 4 Calculate (-7 - -12) + -7 + -9 + 7. -4 What is the value of -17 + 12 + (1 - -6)? 2 What is 1 - 2 - (-2 + (4 - 2))? -1 Evaluate 7 + -6 + -10 + 12. 3 Calculate 11 + -8 + 1 + 4. 8 Calculate -4 + (-4 - -6 - 1 - -9). 6 What is the value of 2 + (2 + -3 + 6 - 8)? -1 Evaluate (-8 - (-3 - 1)) + 6 + 0. 2 Calculate 1 + -4 + (33 - 27). 3 Evaluate 0 + (17 - 7) + -6. 4 Evaluate -5 - (-4 - (-2 + 2)). -1 What is -12 - (10 - 22) - 5? -5 Evaluate -8 + 0 + 12 + -2. 2 What is (-2 - (-1 + 2)) + (-13 - -13)? -3 Evaluate -1 - (2 + 4) - (-52 + 37). 8 -1 - -4 - (5 + -9 + 4) 3 What is -3 + 0 + 9 - (0 - -13)? -7 What is the value of -5 + (-6 - (2 - 4)) + 6? -3 What is (-20 - -21) + (8 - (3 + 0))? 6 What is 0 - (-10 + 5) - 2? 3 2 + -1 + 0 + -4 -3 -1 + (4 - 4) + -1 -2 What is the value of 0 + -2 + (-20 - -24)? 2 What is -4 + (-1 - (-9 - -7) - -5)? 2 What is -2 + 4 + 9 - 8? 3 -3 + -1 + (1 - -1) -2 Calculate -2 + 7 + -6 - 1. -2 What is 3 - 1 - (0 + 7 - 8)? 3 Calculate (1 - (6 + -5)) + -2 + -4. -6 Evaluate (-10 - -8) + 1 + 1 + -1. -1 Evaluate 9 + 8 + -4 + -5. 8 Calculate 8 + -11 + 0 + 6. 3 Evaluate -2 + 0 + 3 - -2. 3 Evaluate -3 + 1 + -4 - (5 - 9). -2 Evaluate -3 + -2 + 2 - (-32 - -30). -1 Evaluate 1 + -3 + 3 + (-10 - -14). 5 Evaluate (-60 - -58) + (2 - -1). 1 What is 3 - (9 - (4 + 3))? 1 What is 7 - (2 - (-1 + -2))? 2 Calculate 2 - (3 - 4) - (14 - 11). 0 What is -6 + (14 - 5) - 0? 3 What is (0 - 11) + -183 + 197? 3 What is 22 + -25 - (-12 - (-2 + 1))? 8 What is the value of 7 - (3 - 0 - (3 - 5))? 2 Calculate 8 - (3 - 3) - (4 + -3). 7 What is the value of 9 + 14 + -6 - 11? 6 -4 - ((-7 - -2) + (11 - 14)) 4 What is the value of 2 + (-1 - 7) + (-18 - -25)? 1 What is the value of ((-6 - 1) + 1 - -3) + -2? -5 Evaluate -5 + -5 + 6 - -2. -2 (13 - (17 + -3 + -6)) + 0 5 What is the value of 18 + (10 - 5) - 13? 10 Calculate (-1 - 3) + -8 - (-8 - -2). -6 Calculate -7 + 10 + (-1 - 0). 2 What is -11 + 8 + (-2 - -7)? 2 Evaluate -5 + 1 - (-9 + (-5 - -6)). 4 (0 - 0 - 2) + 16 + -15 -1 What is the value of 17 + -2 - 20 - (1 + -9)? 3 Calculate 7 - (1 + -7 + 12). 1 7 - 2 - (11 + -9) 3 Calculate 2 + -1 + -2 + 2. 1 What is -7 - -9 - (2 + -3) - 6? -3 Calculate -5 - (-2 - 17 - -6) - 10. -2 Evaluate -1 - 0 - -6 - (153 + -141). -7 Calculate 1 + (-5 - 4) + 3. -5 Calculate 8 + -8 - (2 - -1). -3 -7 - (-6 + 6 - 7) 0 What is the value of 10 + (-6 + 2 + 0 - -1)? 7 What is 6 - (1 + (-2 - -5))? 2 Evaluate 5 - (1 + 0 - 0) - -1. 5 What is 0 + 8 - (89 + -74)? -7 Calculate (-2 + 9 - 1) + 0 - 8. -2 (-1 - (-2 + 1)) + 18 + -15 3 Evaluate -4 + -6 + (-1 - -4) - -2. -5 Evaluate -5 - (2 + -8 + -1 + 5). -3 Calculate (-41 - -49) + (3 - 0 - 3). 8 -6 - ((3 - 8) + 7) -8 What is -14 - (-7 + 3 + -4)? -6 Calculate 7 + -4 - (0 - 0). 3 Calculate -5 + 2 + (0 - 0) - -2. -1 What is 3 - (-8 + 18 + -4)? -3 What is 8 + -8 + 2 + 0 + -2? 0 Calculate 0 - 2 - -7 - 6. -1 What is the value of (13 - 10) + (-1 + -2 - 0)? 0 (217 - 219) + -1 + 1 -2 What is 1 - -1 - (-10 + (19 - 5))? -2 Calculate 2 + (-2 + -3 - 0). -3 What is 14 - 10 - (-1 - 1) - 1? 5 Calculate (-3 - (5 + -13 + 3)) + 1. 3 What is -12 - 3 - (-16 + 6)? -5 Evaluate -21 - -17 - ((-1 - -1) + -13). 9 6 - (-2 + 8 + 5) -5 2 - (3 + (0 + -8 - -3)) 4 Calculate (-1 - -10) + (-23 - -10). -4 Calculate -4 - (-6 - -4 - 4). 2 -2 - (-1 - (-2 - -6)) 3 (4 - (2 + (0 - 1))) + -2 1 What is the value of (41 - 33) + (-13 - -1)? -4 What is the value of -9 + -1 + 17 - 5? 2 Evaluate -4 + (3 + 4 - 2). 1 -1 - (-1 + -3) - 1 - 1 1 What is (26 - 21) + (1 - 3) + -2? 1 Evaluate -2 + (0 - -4 - 2). 0 Calculate 6 + 2 + (-4 - 6 - -4). 2 What is the value of (6 - 7) + (-7 - -10)? 2 6 - (-4 + 4 + 0) - 4 2 What is the value of -5 + 0 + -34 + 35 - -6? 2 What is 13 - 8 - 0 - 1? 4 What is 0 - -2 - (-6 + (19 - 18))? 7 -3 + (1 - -7) - 8 -3 What is the value of -7 - -1 - (12 - (13 + -2))? -7 What is the value of (12 - (4 - 0)) + -7? 1 What is the value of -1 + 0 + 0 + -4? -5 What is the value of 1 - -7 - (-2 + (-7 - -11))? 6 -8 - -18 - 9 - (2 - -2) -3 Evaluate 3 - ((3 - -4) + -3). -1 What is the value of 0 - (-3 + 0 - (2 - 7))? -2 -6 - -2 - (-6 + 2) 0 Calculate (-3 - -6) + -7 + 0 + 9. 5 What is the value of -48 - -43 - (-2 - 6)? 3 What is the value of (-7 - -15) + (-5 - 0) - 3? 0 Calculate 1 + 5 - (18 - 17). 5 What is the value of 2 - 3 - (4 + -6)? 1 What is 7 + -4 + (1 - 1 - -2)? 5 15 + -15 + (3 - -1) 4 Evaluate -3 + 5 - 2 - 4. -4 Calculate (-2 + 2 - 5) + 0 + 4. -1 Calculate -3 - -5 - (0 + (0 - 5)). 7 What is 15 + (-4 - ((5 - -1) + -2))? 7 What is -12 + -3 + 23 + -2? 6 -11 + (20 - -4) - 11 2 9 + (-3 - (4 + -2)) 4 What is (-12 - (4 - 8)) + 3? -5 What is the value of (6 - 3) + (-3 - 0 - 4)? -4 Calculate (-4 - (-1 - (3 + -4))) + -1. -5 Evaluate 2 - (0 + 2 + -1) - -2. 3 Calculate 2 + -5 + -5 + 3. -5 Calculate (2 - 1) + (-6 + 3 - 2). -4 What is the value of 2 + -2 + 0 + 1? 1 What is 73 - 69 - (6 + (1 - 3))? 0 7 - 8 - (2 + 0) -3 Evaluate 4 + -3 + 10 - 16. -5 -28 + 28 - (-2 + -2) 4 Calculate -3 + (-1 - -5) + (0 - -3). 4 What is 7 + 9 + -4 + -8? 4 What is the value of (-5 - -4 - 3) + 4? 0 What is 2 - 1 - (-14 + 2 - -14)? -1 Evaluate (5 - 1) + (-35 - -23). -8 9 - 10 - (0 - 0) -1 Calculate -7 + 6 + (1 - -1). 1 What is -6 + 6 + (-11 - -7)? -4 What is (8 - 3) + 2 - (7 + -2)? 2 What is the value of 0 - (2 - 1) - (-5 - 0)? 4 1 - (-5 - -2 - 0) 4 Evaluate (-2 - 8) + (-1 - -8) + -2. -5 Evaluate 9 + (5 - 5) + -3. 6 -10 + 16 + (-2 - 1) 3 What is 4 + (-1 - -1 - 1)? 3 What is -7 - (6 - 6 - 6 - 5)? 4 What is the value of -5 - 0 - -5 - 7? -7 What is (16 - 11) + -7 + 0 + 2? 0 Evaluate -3 - (-2 + 3) - -9. 5 -1 + 2 + (7 - 2 - 8) -2 Calculate -5 + (-3 - -3) - -10. 5 Evaluate -8 - (-8 - -5 - 10). 5 What is the value of -4 + 2 + 1 - -5? 4 Evaluate (3 + 0 - 4) + 4 + 2. 5 What is the value of 2 + -13 + (3 - (-1 + -2))? -5 What is -9 + -1 + 10 + -7? -7 8 + -7 + -7 - -2 - -5 1 What is the value of ((3 - 7) + -2 - 1) + 1? -6 What is the value
{ "pile_set_name": "DM Mathematics" }
2 + 3*u + 1. Let f(b) = 91*b**2 - 3*b - 1. Let t(z) = -3*f(z) - 4*q(z). Let r(s) = -5*s**2 + 7*s + 1. Calculate 2*r(w) + 5*t(w). 5*w**2 - w - 3 Let r(u) = 2*u**2 + 3*u - 367. Let d(v) = v**3 - 3*v**2 - 4*v + 362. Give -2*d(z) - 3*r(z). -2*z**3 - z + 377 Let q(h) = -2*h**2 - 7*h - 74. Let p(g) = 2*g**2 + 4*g + 37. Calculate 7*p(u) + 4*q(u). 6*u**2 - 37 Let i(n) = -3141*n**3 + 2*n**2 - 2*n. Let b(g) = -15700*g**3 + 11*g**2 - 11*g. Give -2*b(d) + 11*i(d). -3151*d**3 Let f be 23 + (-162)/6 + (-3)/1. Let w(x) = -37*x + 4. Let q(a) = -56*a + 6. Give f*w(b) + 5*q(b). -21*b + 2 Let x(z) = -23*z**2 + 7*z - 5. Let h(c) = -54*c**2 + 16*c - 10. Let p(l) = 6*h(l) - 13*x(l). Let q(i) = -13*i**2 + 3*i + 3. Give 3*p(y) - 5*q(y). -10*y**2 Let b(p) = p**3 + 2*p**2 - 5*p - 1. Let t(f) = 12 + 7 - 20 + 61*f**2 - 60*f**2 - 3*f + f**3. Determine 6*b(d) - 10*t(d). -4*d**3 + 2*d**2 + 4 Let f(s) = -12*s**3 - 11*s**2 - 4*s - 1. Let n(u) = u**3 + 4*u**2 - 8*u + 69. Let y be n(-7). Let r(d) = -d**3 - d**2. What is y*r(x) + 2*f(x)? -2*x**3 - 8*x - 2 Let q(x) = x - 11. Let t(y) = -3*y**2 + 2*y + 33. Determine -3*q(l) - t(l). 3*l**2 - 5*l Let f(s) = 3657*s + 15. Let h(m) = -7315*m - 38. Calculate -5*f(b) - 2*h(b). -3655*b + 1 Let v(z) = z**2 + 12*z + 3. Let t(y) = -6*y**2 - 44*y - 4. Let i(c) = t(c) + 3*v(c). Let g(w) = -w + 1. Determine 3*g(j) - i(j). 3*j**2 + 5*j - 2 Let w(j) = -230*j + 299. Let x(o) = 52*o - 75. Give 2*w(i) + 9*x(i). 8*i - 77 Let t(x) = -6*x - 18. Suppose -52*b - 572 = 25*b - 187. Let g(z) = z + 1. Determine b*g(r) - t(r). r + 13 Let n(z) = -6*z**3 + 9*z**2 - 23*z - 3. Let a(w) = -3*w**3 + 4*w**2 - 10*w - 1. What is -7*a(m) + 3*n(m)? 3*m**3 - m**2 + m - 2 Let y(f) = -f**2 + 6*f - 2. Let v(k) = -3*k**2 + 16*k - 6. Let b(l) = -6*v(l) + 17*y(l). Suppose 54*r = 51 + 3. Let n(o) = -o**2 + o + 1. Give r*b(x) - 4*n(x). 5*x**2 + 2*x - 2 Let f(x) = -7*x - 146. Let w(y) = -19*y - 294. Calculate 7*f(c) - 3*w(c). 8*c - 140 Let n(h) = 4*h + 45. Suppose -6*t - 2*o = -11*t - 59, -3*o + 57 = -4*t. Let m(r) = -2*r - 23. Determine t*m(i) - 4*n(i). 2*i + 27 Let q(r) = 4*r**2 + 3568. Let i(o) = o**2 - 2. Calculate -3*i(b) + q(b). b**2 + 3574 Let h(x) = 21*x - 1125. Let y be h(54). Let g(r) = -r - 30. Let k(m) = 2*m + 61. Give y*g(u) + 4*k(u). -u - 26 Let j(p) = 3*p + 505. Let q(x) = 3*x + 481. Determine 3*j(o) - 4*q(o). -3*o - 409 Let w(h) = 2*h**2 + 8*h + 17. Let g(t) = -t**2 - 5*t - 11. Suppose -7*v + 2*v = -62*v - 285. Calculate v*w(k) - 8*g(k). -2*k**2 + 3 Let q(p) = -2*p**2 + 1. Suppose -12 = -5*l + 3. Let y be ((-3)/18 - (-20)/12)*14. Let a(x) = y - x**3 + 31 - 3*x**2 - 50 + 2*x**3. What is l*a(z) - 5*q(z)? 3*z**3 + z**2 + 1 Let j(u) = 420*u**2 + 4*u - 7. Let s(t) = 279*t**2 + 2*t - 5. What is -5*j(h) + 7*s(h)? -147*h**2 - 6*h Let w(p) = -4607*p - 12. Let t(j) = -949050*j - 2475. Give 4*t(y) - 825*w(y). 4575*y Let q(a) = -a**3 + 19*a**2 + 109*a + 8. Let o(n) = -n**3 - 4*n**2 - 2*n - 2. Give -5*o(l) - q(l). 6*l**3 + l**2 - 99*l + 2 Let m(f) = 38*f. Let o(k) = -72 + 40*k - 77 + 149 + 37*k. Determine 9*m(t) - 4*o(t). 34*t Let j(r) = -1929*r**3 + 6*r**2 - 2*r - 4. Let x(i) = 167825*i**3 - 525*i**2 + 175*i + 350. What is -175*j(g) - 2*x(g)? 1925*g**3 Let r(q) = 5*q + 2 + 2 + 0. Let h(y) = -9*y - 7. Suppose 385 = 108*l + 817. Calculate l*h(t) - 7*r(t). t Let x(c) = c - 17. Let q(f) = f + 8. Let g(z) = -3*z - 20. Let s(j) = -2*g(j) - 5*q(j). Give 4*s(l) - 2*x(l). 2*l + 34 Let t(r) = -314*r**3 + r**2 - 33*r - 14. Let j(u) = 70*u**3 + 8*u + 3. What is -9*j(m) - 2*t(m)? -2*m**3 - 2*m**2 - 6*m + 1 Let i(x) = 2*x**3 + 37*x**2 + 27*x + 4. Let t(r) = 3*r**3 + 37*r**2 + 32*r + 5. What is -6*i(o) + 5*t(o)? 3*o**3 - 37*o**2 - 2*o + 1 Let c(v) = -10. Let j(u) = 6*u - 56. Let k(r) = -6*c(r) + j(r). Let n(m) = -m + 2 - 3*m + 7*m. Calculate 4*k(x) - 9*n(x). -3*x - 2 Let o(f) be the first derivative of 0*f**2 + 2*f - 172 + 2/3*f**3. Let q(a) = a**2. Calculate -o(c) + 4*q(c). 2*c**2 - 2 Let n be (-2)/((-481)/91 - -5). Let l(u) = -2*u**3 + 7*u - 1. Let k(s) = 4*s**3 - 15*s + 3. Give n*l(g) + 3*k(g). -2*g**3 + 4*g + 2 Let a(k) = k**2 + k - 1. Let h(c) = 3*c**2 + 3*c + 9. Suppose -4*y + 5*s = 39, 3*s + 139 = 3*y + 163. Calculate y*h(u) + 4*a(u). u**2 + u - 13 Let t(r) be the second derivative of -r**2/2 - 2*r - 276. Let w(s) = 2*s + 2. Let u(j) = 3*j + 3. Let d(z) = -3*u(z) + 5*w(z). What is -d(y) - 5*t(y)? -y + 4 Let h(z) = 12*z + 513. Let t(q) = -7*q - 512. Give 2*h(g) + 3*t(g). 3*g - 510 Let u(h) = -5*h - 1. Let i(c) be the third derivative of -13*c**4/12 - c**3 + c**2. Suppose 50*g = 1769 - 969. Give g*u(s) - 3*i(s). -2*s + 2 Suppose -78 - 30 = -69*q + 168. Let t(m) = -3*m**2 - 2*m - 6. Let g(b) = 3*b**2 + 3*b + 7. Give q*g(o) + 5*t(o). -3*o**2 + 2*o - 2 Let x(t) = -t**2 + t + 1. Let g(o) be the first derivative of -2*o**3 + o**2 + 4*o - 2371. Determine -g(a) + 2*x(a). 4*a**2 - 2 Let r(p) = -11*p**3 - p**2 - 20*p + 13. Let j(y) = -2*y**3 + y**2 - 5*y - 1. Give 4*j(i) - r(i). 3*i**3 + 5*i**2 - 17 Let x(g) = 691*g**2 + 26*g + 27. Let c(y) = 347*y**2 + 15*y + 15. Calculate -7*c(d) + 4*x(d). 335*d**2 - d + 3 Let u(w) = 3*w - 1. Let t(y) = -1 - 48*y - 21*y - 21*y + 63*y + 29*y. Let s = 16 + -22. Give s*t(n) + 5*u(n). 3*n + 1 Let p(y) = 4*y**2 + 11. Let b(n) be the third derivative of -1/3*n**3 - 1/60*n**5 + 0 + 0*n**4 + 0*n - 3*n**2. What is 11*b(x) + 2*p(x)? -3*x**2 Let j(m) = -17*m**2 + 2*m + 2. Let s(f) = -f**3 + f**2 - f - 1. Let i = 23615 + -23617. Calculate i*s(g) - j(g). 2*g**3 + 15*g**2 Let i(g) = 3*g**2 - 28*g + 8. Suppose 79*d = 87*d - 72. Let m be i(d). Let o(a) = a**2 + a + 1. Let c(y) = y**3 - 3*y**2 + 3*y + 4. What is m*c(j) + 4*o(j)? -j**3 + 7*j**2 + j Let m(l) = 11*l - 19. Let z(g) = 104*g - 181. Let p(j) = 19*m(j) - 2*z(j). Let v(o) = 6*o - 4. Determine 3*p(t) + v(t). 9*t - 1 Let l be ((-5)/3)/(((-2)/(-12))/(1/2)). Let q(x) = -6*x**2 - 6*x - 7. Let b(u) = 7*u**2 + 5*u + 6. Determine l*q(j) - 6*b(j). -12*j**2 - 1 Suppose 4*w = 3*q - 20 + 29, -2*w = -5*q - 29. Let h(b) = 7*b**3 - 5*b**2 - 2*b - 1. Let t(n) = 10*n**3 - 7*n**2 - 3*n - 1. Calculate q*h(g) + 5*t(g). g**3 - g + 2 Let z(t) = -14*t**2 + 2*t - 3. Let o(c) be the second derivative of -7*c**4/12 + c**3/6 - c**2 + 2056*c. Calculate 5*o(n) - 3*z(n). 7*n**2 - n - 1 Let b(x) = -x - 1. Let k(n) be the second derivative of -n**3/2 - 5*n**2/2 + 12298*n. Calculate 12*b(q) - 3*k(q). -3*q + 3 Let c be 20/(-200)*70/(-7). Let a(b) = 1. Let v(h) = -3*h - 4. What is c*v(s) - a(s)? -3*s - 5 Let c(i) = 6*i - 2. Let n be (1*3)/((-36)/(-1056)). Suppose 4*o - n = 2*o. Let p = o + -46. Let g(z) = -7*z + 2. What is p*g(m) - 3*c(m)? -4*m + 2 Let b(f) = 4*f**3 + 13*f**2 - 2*f - 2. Let y(s) = s**3 + 21*s**2 + 2*s + 48. Let m be y(-21). Let o(x) = -2*x**3 - 7*x**2 + x + 1. What is m*b(j) + 11*o(j)? 2*j**3 + j**2 - j - 1 Let g(d) = -d**2 - 3. Let p(c) = -c**2 - 463*c + 2. Determine g(z) + p(z). -2*z**2 - 463*z - 1 Let w(m) = -165*m**2 - 3*m + 4. Let j(k) = -3*k**2 - 4*k. Calculate -j(n) + w(n). -162*n**2 + n + 4 Let i(h) = 31*h**2 - h + 2384. Let o(s) = 139*s**2 - 5*s + 9536. What is 9*i(u) - 2*o(u)? u**2 + u + 2384 Let b(p) = 34*p**2 - 17. Let d(k) = k**2 - k - 21. What is b(a) - 2*d(a)? 32*a**2 + 2*a + 25 Let s(v) = -v**3. Suppose u = 41*u + 61 + 139. Let r(n) = 4*n**3 - n**2 + 8. What is u*s(k) - r(k)? k**3 + k**2 - 8 Let z(d) = 2*d**3 + d**2 - d. Let m(h) = -h**3 + h**2 - 3*h + 6. Let r(j) = -m(j) - 3*z(j). Let o(l) = 14*l**3 + 13*l**2 - 17*l + 17. Give -6*o(t) - 17*r(t). t**3 - 10*t**2 Let f(w) = 48*w. Let h(z) = 3*z. Determine 3*f(p) - 12*h(p). 108*p Let u(o) = -18*o - 3. Let p be u(-1). Let j(q) = 7 + p + q - 16. Let k(h) = -3. Give 2*j(b) + 5*k(b). 2*b - 3 Let a(u) = 19*u - 136. Let k be a(7). Let b(i) = -i**2 + i. Let d(c) = 61 + 3*c + 66 + c**2 - 127. Give k*b(p) + d(p). 4*p**2 Let g(h) be the third derivative of -h**4/24 - h**3/6 - 112*h**2 + 3. Let q(c) = 5*c + 3. Give 2*g(o) + q(o). 3*o + 1 Let k(c) = -1. Let l(h) = -10*h - 41. Let z be l(14). Let g = -182 - z. Let p(o) = -3*o + 2. Give g*p(d) - 4*k(d). 3*d + 2 Suppose 49*t - 929 = -6025. Let h(j) = 650*j**3 - 104*j**2. Let l(p) = -31*p**3 + 5*p**2. Give t*l(a) - 5*h(a). -26*a**3 Let r(y) = -2*y**2 + 3*y - 1. Let n(m) = -25*m**2 + 49*m - 5. Determine -n(s) + 5*r(s). 15*s**2 - 34*s
{ "pile_set_name": "DM Mathematics" }
ssuming u is positive. u**(840494/19943) Simplify (p*p**23/p*p**(-2/11))/(p*p*p**(-27)*p)**8 assuming p is positive. p**(2363/11) Simplify (x/((x*x**(-1/11)/x)/x*x)*x*x)/(x*x/(x**15*x))*x/(x/(x**(7/3)*x))*x*x*x*(x**8*x)/x*x assuming x is positive. x**(1070/33) Simplify x**(-17/2)*(x*x**(1/3))/x*(x**7)**(-41) assuming x is positive. x**(-1771/6) Simplify ((j/j**(-2/3))**(-40)/(j/j**3*j/(j/j**(-2/5)*j)))**48 assuming j is positive. j**(-15184/5) Simplify (((z/(z*z**6))/z**8)**44)**(3/17) assuming z is positive. z**(-1848/17) Simplify i/(i*i/i**(14/3)*i)*(i**17/i)/i*i*i**18*i**(-18)/i assuming i is positive. i**(53/3) Simplify (b**(1/14)*b**24*b)**40 assuming b is positive. b**(7020/7) Simplify ((z**(1/30))**(3/11))**(5/4) assuming z is positive. z**(1/88) Simplify ((y**19*y/(y/(y/y**(-3/7)*y)))**(4/5))**(-36) assuming y is positive. y**(-4320/7) Simplify (c**(-1/3))**19/(c*(c**(-1/4)*c)/c*c)**(2/15) assuming c is positive. c**(-197/30) Simplify d**(-10/11)*(d*d**(-13)*d*d)/d*(d/(d/(d/(d*(d**(2/49)*d)/d))))/d**(6/11) assuming d is positive. d**(-6735/539) Simplify ((f**3*f**4/f)/(f**(-2/7)/f*f**(2/11)))**(-2/25) assuming f is positive. f**(-1094/1925) Simplify ((h**(-14)*h)**28)**29 assuming h is positive. h**(-10556) Simplify ((r**(-2/71)/(r**(1/9)/r))**(-3/7))**(17/2) assuming r is positive. r**(-4675/1491) Simplify (s**(-23))**(1/8)/(s*s**0*s*s/s**(-18/7)) assuming s is positive. s**(-473/56) Simplify (c**(-12)/(c/(c/c**(13/2)*c)))/((c/(c*(c/(c*c**4)*c*c)/c*c*c))/(c*c*c/(c*c*c**(2/33))*c)) assuming c is positive. c**(-1093/66) Simplify (u*u**(12/5))**(-15/7)*u*u**(1/9)*u*u*u*u**1*u assuming u is positive. u**(-74/63) Simplify (d*d**(-3/4)/d)**(-16)*(d/(d**(1/39)/d))/(d/(d*d**(-2/107)/d)) assuming d is positive. d**(54064/4173) Simplify ((w/(w/(w/((w*(w/(w**(3/2)/w))/w*w)/w)*w*w)))/w**11)**(17/2) assuming w is positive. w**(-289/4) Simplify (w**(-13/2)/w)/w*w*w*w**12*w/((w**14*w*w)/w)*w*w**(-2/5) assuming w is positive. w**(-79/10) Simplify (l*l**(-34)*((l*l**(-8/5)*l)/l*l)/l)/(l/(l**8/l)*l**(-30)/l) assuming l is positive. l**(17/5) Simplify (x**5)**7*x**(3/16)*x/(x/x**(-24)) assuming x is positive. x**(179/16) Simplify y**(1/4)/(y/y**(-21))*(y/(y*y**7*y))**(-2/13) assuming y is positive. y**(-1067/52) Simplify ((b*b**(-2/3))/b*b)/(b*b**5)*(b**(-12)/b)/(b/(b**(4/9)/b)) assuming b is positive. b**(-182/9) Simplify ((z*z**0)**(5/9)/(z**(-4)/z*(z/z**(3/5))/z))**(1/84) assuming z is positive. z**(277/3780) Simplify y**(-12)/((y/y**(-6))/y*y)*(y**(-1/3))**(-31) assuming y is positive. y**(-26/3) Simplify (j/(j*((j**(2/117)*j)/j*j)/j)*j*j*j/(j*j**(-2/7)))/(j**2*j**(-1)) assuming j is positive. j**(1039/819) Simplify (t*t/((t**(-1/7)/t)/t))**(-16)/((t/(t/(t*t**(-3)*t))*t)/((t*t**(-9))/t)) assuming t is positive. t**(-527/7) Simplify (((f/(f**1*f)*f)/f**(-5))/(f/((f/(f/f**1))/f)*f)**(-43))**(13/5) assuming f is positive. f**(1183/5) Simplify (o**(-9)/((o*o*o**(-2/5))/o)*(o**(2/3)*o)**41)**8 assuming o is positive. o**(7048/15) Simplify (u**(-18)*u*u/(u*u*u/(u/((u/u**32)/u*u))*u))**(2/31) assuming u is positive. u**(24/31) Simplify ((w/w**(-1/6)*((w/(w**(-5)*w*w))/w)/w)/((w**(6/7)/w)/(w/(w*w**(-5))*w)))**23 assuming w is positive. w**(8993/42) Simplify l**4*l*((l/l**(2/9))/l)/l*l*l*l*(l/(l*l*l/(l*l**(2/7)/l)*l))**(-33) assuming l is positive. l**(6070/63) Simplify (i**(3/8)*i)/i**(-19)*(((i/i**1*i)/i)/i)**(-4/7) assuming i is positive. i**(1173/56) Simplify (w**(9/5)*w)**(-7/5)/((w/(w**(-9)/w))/(w/w**(-12/5))) assuming w is positive. w**(-288/25) Simplify t**(-8/5)*t*t**(-2/9)*((t*t**7)/t)/((t/(t*t*t/t**(-1/13)*t))/t) assuming t is positive. t**(5999/585) Simplify (o**0)**(2/61)*(o*o**(-15))**49 assuming o is positive. o**(-686) Simplify (((d/(d/d**(1/4))*d)**(-31/2))**(-35))**33 assuming d is positive. d**(179025/8) Simplify (n*((n/n**(-4)*n)/n)/n)**25/(n**(2/5))**(-15) assuming n is positive. n**131 Simplify (t/(((t**(-1/13)/t)/t)/t)*t*t**7*t)/(t/((t*t**5)/t))**41 assuming t is positive. t**(2302/13) Simplify x**(1/3)*x*x/(x*x**(-5)*x)*x**(3/5)*x*(x**(8/3)/x*x)/x assuming x is positive. x**(43/5) Simplify (((i**34*i)/i)/i*i**(4/17))/(i*i*i**(-3/8))**(-2/25) assuming i is positive. i**(56721/1700) Simplify ((h**(-4)/h)/(h*h/(h/(h*h*h**15))))/(h/(h/(h/(h/(h*h*h**(-11))))*h))**(12/5) assuming h is positive. h Simplify (n**(1/14))**(-2/75)/((n*n*n*n**(1/32))/n*n*n/(n**3/n)) assuming n is positive. n**(-34157/16800) Simplify (p*p*p*p**(-8)*p*p*p*p/((p*p*p*p**19*p)/p))/(p**(14/9)/p**9) assuming p is positive. p**(-140/9) Simplify (z**(-2/43)*(z**(1/7)/z)/z)/(z**(-15)*z/(z/z**12)) assuming z is positive. z**(330/301) Simplify (c**(-5/12)/c)/(((c/c**(2/17))/c)/c)*((c**(-2/45)/c)/c)**(-4/7) assuming c is positive. c**(18619/21420) Simplify (p**4/p)/p**(-3/5)*((p*p/p**(3/13))/p*p)/p*p**4*p*p assuming p is positive. p**(674/65) Simplify ((g**(1/2))**(3/7)/((g**4*g)/(((g/(g*g**(4/7)))/g)/g)))**(-31) assuming g is positive. g**(3193/14) Simplify m*m**(2/47)/m*m/(m*m*m**(-3/16)*m*m*m)*m*(m/m**(-7/2))/(m**0/m) assuming m is positive. m**(2053/752) Simplify ((b*b/(b*(b/b**(-1))/b)*b*b)**(2/7)*(b*b**(-5)*b)/b**(-3/11))**(2/31) assuming b is positive. b**(-332/2387) Simplify (k**(-1/6)/(k**(-12)/k)*(k*k*k/(k*k**(-2/5)))/k**(5/3))**17 assuming k is positive. k**(6919/30) Simplify ((j*j*j/((j/j**19)/j))**(-3/19))**(-26) assuming j is positive. j**(1716/19) Simplify b**(-2/5)/(b*((b/(b*b**(1/14)))/b)/b)*b/b**11*b*b**12*b assuming b is positive. b**(327/70) Simplify (b**(-7))**(-27)/(b**(1/3))**(-9) assuming b is positive. b**192 Simplify (i**13*i*((i/((i**10*i)/i))/i)/i)/(i**(-1))**(1/2) assuming i is positive. i**(7/2) Simplify (q**14/q**(-9/7))/(q/q**(1/16))**(-40) assuming q is positive. q**(739/14) Simplify (r*r*r**(-7))**(-6/17)/(r**(-28)*r*r**(1/15)) assuming r is positive. r**(7318/255) Simplify (s**(1/2)/(s**(-9/2)*s*s))/((s*s/((s/(s**6/s))/s))/((s**(-13)/s*s)/s*s)) assuming s is positive. s**(-17) Simplify (i*i/(i*i**(-3/5)))**(-36)/(i**(-12)*i**(-2/29)*i) assuming i is positive. i**(-6747/145) Simplify (a*a**(1/2))/a**(-1/15)*a**(-1/34)*a/a**(-3/2) assuming a is positive. a**(2059/510) Simplify (r/(r/(r/(r/r**(1/6)))*r)*r*r**18)/(r*r**(-11)*r)**29 assuming r is positive. r**(1675/6) Simplify q**12*q*q*q**(4/7)*(q*q**(1/6)/q*q)/q**(-2/115) assuming q is positive. q**(76099/4830) Simplify ((t*t**1)/t)/(t*t/(t*t**(-9/7))*t)*(t/t**(-3))/t*t**14 assuming t is positive. t**(103/7) Simplify ((h**10*h**(2/87))**16)**(1/24) assuming h is positive. h**(1744/261) Simplify (((n/(n*n**(-3)))/(n/n**(-4)))/(n*n**(-3)*n*n*n*n/n**(-2/25)))**(-9) assuming n is positive. n**(918/25) Simplify (n**3)**(-35/2)*(n*n*n/(n*n*n/((n*n/(n*(n*n**1)/n))/n)*n)*n)/((n/((n*n/n**(-12))/n*n))/n) assuming n is positive. n**(-79/2) Simplify ((u**(-1/4))**(-31/4)*u/(u/(u*u**(-1/2)*u*u*u))*u**(-2/9)*u)**(-4/23) assuming u is positive. u**(-895/828) Simplify (o**5)**(5/12)/((o**(4/17)*o*o*o)/(o/(o/(o/(o**(2/5)*o))))) assuming o is positive. o**(-1583/1020) Simplify (k**(1/6)/((k*k*k*k**(-1/21)*k)/k))/(k**3*k*k**(3/8)) assuming k is positive. k**(-401/56) Simplify ((z*z**7/z*z)/z*z**(-9))/(z*z**(-11)*z**(-9)) assuming z is positive. z**17 Simplify ((p**(3/4)*p*p)/p)**42/(p/p**9*p/(p**(2/63)/p)) assuming p is positive. p**(10021/126) Simplify ((p/(p/(p*p*p**(1/7)*p)))**24)**(-4) assuming p is positive. p**(-2112/7) Simplify ((v*v*v**17/v)/(v*v**6))/(((v/(v/v**12))/v)/v**(2/33)) assuming v is positive. v**(2/33) Simplify (z**3)**(-11/3)/(z**(-1/3))**(3/13) assuming z is positive. z**(-142/13) Simplify ((((u**(-1/6)*u)/u)/(u/(u**4/u)))**(15/11))**(-35) assuming u is positive. u**(-175/2) Simplify m**22/((m*(((m/m**9)/m)/m)/m)/m)*m**16/m**24 assuming m is positive. m**25 Simplify (a/a**(-1)*a*a/((a*a/(a/(a*a**(-1/4))))/a)*a*a**(4/5)*a**3)**(-16) assuming a is positive. a**(-644/5) Simplify i**15/(i/(i**(2/11)*i))*i**(-8)/(i**(-2/23)*i) assuming i is positive. i**(1586/253) Simplify (v**(-2/25)*v*v**(-2))/(v**(-4/7)*v*v**(2/21)*v) assuming v is positive. v**(-1367/525) Simplify (f/f**(-2/9))**(-2/9)/(f**(11/6)*f**(-1/7)) assuming f is positive. f**(-2225/1134) Simplify (i/(i*(i**2/i)/i))**26/(i/(i*i/(i/(i*i/i**(-2/7))))*i*i**(1/2)*i) assuming i is positive. i**(-3/14) Simplify (k**(-2/11))**(29/5)*(k*
{ "pile_set_name": "DM Mathematics" }
is 532729 to the power of 1/2, to the nearest integer? 730 What is 20718352 to the power of 1/3, to the nearest integer? 275 What is the cube root of 291344 to the nearest integer? 66 What is 13151961 to the power of 1/2, to the nearest integer? 3627 What is 325452 to the power of 1/6, to the nearest integer? 8 What is 548520 to the power of 1/2, to the nearest integer? 741 What is the third root of 2195394 to the nearest integer? 130 What is 207249 to the power of 1/4, to the nearest integer? 21 What is 2153860 to the power of 1/3, to the nearest integer? 129 What is the third root of 114995 to the nearest integer? 49 What is 2523342 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 5659029 to the nearest integer? 6 What is 793273 to the power of 1/3, to the nearest integer? 93 What is the cube root of 1886989 to the nearest integer? 124 What is the square root of 8455137 to the nearest integer? 2908 What is the cube root of 6261010 to the nearest integer? 184 What is the square root of 997797 to the nearest integer? 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25 What is 730459 to the power of 1/4, to the nearest integer? 29 What is the sixth root of 65104 to the nearest integer? 6 What is 1653697 to the power of 1/2, to the nearest integer? 1286 What is 229943 to the power of 1/5, to the nearest integer? 12 What is the cube root of 924284 to the nearest integer? 97 What is the eighth root of 466331 to the nearest integer? 5 What is the fourth root of 4151 to the nearest integer? 8 What is the ninth root of 16260487 to the nearest integer? 6 What is 1829719 to the power of 1/3, to the nearest integer? 122 What is the third root of 795189 to the nearest integer? 93 What is 399486 to the power of 1/5, to the nearest integer? 13 What is 1561285 to the power of 1/2, to the nearest integer? 1250 What is the eighth root of 361033 to the nearest integer? 5 What is 577238 to the power of 1/2, to the nearest integer? 760 What is the eighth root of 5002011 to the nearest integer? 7 What is the square root of 1187386 to the nearest integer? 1090 What is the seventh root of 3131364 to the nearest integer? 8 What is the seventh root of 37896 to the nearest integer? 5 What is the eighth root of 885155 to the nearest integer? 6 What is 96055 to the power of 1/2, to the nearest integer? 310 What is the cube root of 250537 to the nearest integer? 63 What is 225439 to the power of 1/3, to the nearest integer? 61 What is 646260 to the power of 1/7, to the nearest integer? 7 What is the fifth root of 667396 to the nearest integer? 15 What is 1109086 to the power of 1/10, to the nearest integer? 4 What is the fourth root of 1447222 to the nearest integer? 35 What is the cube root of 10188 to the nearest integer? 22 What is the cube root of 884202 to the nearest integer? 96 What is 682973 to the power of 1/4, to the nearest integer? 29 What is 728426 to the power of 1/4, to the nearest integer? 29 What is 5527171 to the power of 1/2, to the nearest integer? 2351 What is 453096 to the power of 1/10, to the nearest integer? 4 What is the sixth root of 118082 to the nearest integer? 7 What is 11313518 to the power of 1/3, to the nearest integer? 224 What is the square root of 762819 to the nearest integer? 873 What is the square root of 13394663 to the nearest integer? 3660 What is 772558 to the power of 1/2, to the nearest integer? 879 What is 556244 to the power of 1/7, to the nearest integer? 7 What is the third root of 348201 to the nearest integer? 70 What is the third root of 490549 to the nearest integer? 79 What is 20658045 to the power of 1/8, to the nearest integer? 8 What is the third root of 742235 to the nearest integer? 91 What is 12520179 to the power of 1/4, to the nearest integer? 59 What is the tenth root of 14349400 to the nearest integer? 5 What is the cube root of 1423749 to the nearest integer? 112 What is 4204026 to the power of 1/6, to the nearest integer? 13 What is the square root of 22699350 to the nearest integer? 4764 What is 1537757 to the power of 1/4, to the nearest integer? 35 What is the cube root of 207785 to the nearest integer? 59 What is 659880 to the power of 1/3, to the nearest integer? 87 What is 349734 to the power of 1/3, to the nearest integer? 70 What is the square root of 5817807 to the nearest integer? 2412 What is 859876 to the power of 1/3, to the nearest integer? 95 What is 127541 to the power of 1/3, to the nearest integer? 50 What is the third root of 2312615 to the nearest integer? 132 What is the square root of 10441432 to the nearest integer? 3231 What is 391608 to the power of 1/7, to the nearest integer? 6 What is 10713815 to the power of 1/2, to the nearest integer? 3273 What is 4199303 to the power of 1/8, to the nearest integer? 7 What is the square root of 3299768 to the nearest integer? 1817 What is the eighth root of 1569884 to the nearest integer? 6 What is the third root of 5523 to the nearest integer? 18 What is 5898413 to the power of 1/5, to the nearest integer? 23 What is the third root of 1463136 to the nearest integer? 114 What is the square root of 2626257 to the nearest integer? 1621 What is 41497 to the power of 1/8, to the nearest integer? 4 What is the fifth root of 3505138 to the nearest integer? 20 What is the cube root of 531373 to the nearest integer? 81 What is 7337391 to the power of 1/3, to the nearest integer? 194 What is 876579 to the power of 1/2, to the nearest integer? 936 What is the third root of 1384739 to the nearest integer? 111 What is 6842327 to the power of 1/10, to the nearest integer? 5 What is 3248973 to the power of 1/2, to the nearest integer? 1802 What is the tenth root of 2330835 to the nearest integer? 4 What is the cube root of 6050883 to the nearest integer? 182 What is 6636897 to the power of 1/2, to the nearest integer? 2576 What is 3917395 to the power of 1/3, to the nearest integer? 158 What is the cube root of 222925 to the nearest integer? 61 What is 12191886 to the power of 1/2, to the nearest integer? 3492 What is the cube root of 487845 to the nearest integer? 79 What is the square root of 19777512 to the nearest integer? 4447 What is the square
{ "pile_set_name": "DM Mathematics" }
2939*n. Let t(f) = f + 12104. Determine t(w(k)). -2939*k + 12104 Let n(u) = -63 + 26*u - 49 + 112. Let j(q) = -q + 4. Let f = 1 + -5. Let m(g) = 1. Let d(l) = f*m(l) + j(l). What is d(n(o))? -26*o Let v(w) = -3*w. Let q(k) = 3*k. Let o(y) = 7*y**2 + 72*y. Let f(n) = -o(n) - 6*q(n). Calculate v(f(d)). 21*d**2 + 270*d Let v(i) = -3*i**2. Let p(c) be the first derivative of -27*c**3/2 + 78*c - 11. Let o(k) be the first derivative of p(k). Give v(o(y)). -19683*y**2 Let z(b) = 4*b**2. Let v be (-19 + 19)*(-1)/2. Let t be 168 - (1 - (v - 0)). Let w(m) = 167*m + m**2 - t*m. Calculate z(w(k)). 4*k**4 Let s(c) = 9*c + 8. Let b(a) = 217*a + 196. Let z(k) = 4*b(k) - 98*s(k). Let y(u) = u + 5*u + 5*u - 7*u + 4*u. Give y(z(m)). -112*m Let l(q) = -180701762*q. Let y(g) = 4*g**2. Determine y(l(p)). 130612507159618576*p**2 Let t(m) = -104381 + 104381 - 1437*m. Let f(i) = 8*i. Calculate t(f(l)). -11496*l Let d(q) = 120*q + 32. Let g(n) = -11*n - 3. Let z(p) = -3*d(p) - 32*g(p). Let i(t) = -3*t**2 + 37*t. What is z(i(f))? 24*f**2 - 296*f Let w = 166 - 164. Let g(l) = 28*l**w + 33*l**2 - 11*l**2. Let h(a) = a. Give g(h(i)). 50*i**2 Let f(i) = 3*i. Let c(y) = 355400016*y**2. Determine c(f(j)). 3198600144*j**2 Let f(l) = 169764*l**2 + 2*l + 24. Let c(w) = -2*w**2. Calculate f(c(z)). 679056*z**4 - 4*z**2 + 24 Let f(p) = -2*p**2 - 649. Let h(u) = -u**2 - 24*u + 94. What is h(f(y))? -4*y**4 - 2548*y**2 - 405531 Let l(t) = -3*t**2. Let h(m) = 506021*m. Determine l(h(v)). -768171757323*v**2 Let q(g) = -123466602*g**2. Let o(w) = -w. Determine q(o(h)). -123466602*h**2 Let g(a) be the third derivative of 0*a**3 + 1/12*a**4 + 15*a**2 + 0 + 0*a. Let q(u) = 73*u**2. Determine g(q(o)). 146*o**2 Let h(m) = -273*m**2. Let n(g) = -2*g + 7824. Calculate n(h(p)). 546*p**2 + 7824 Let p(c) be the second derivative of -5*c**4/12 - c. Let v(t) = 7*t + 30. Let w(j) = 23*j + 92. Let b(m) = 46*v(m) - 15*w(m). Determine p(b(h)). -2645*h**2 Let x(o) = 8*o - 30. Let w(b) = 4945*b**2. What is x(w(z))? 39560*z**2 - 30 Let b(x) = -28*x**2. Let q(w) = w**2 - 2*w - 154737. What is q(b(g))? 784*g**4 + 56*g**2 - 154737 Let b(y) = 4*y. Let k(g) = 14*g + 5. Let r(h) be the second derivative of h**3/6 + h**2/2 + 80*h. Let a(x) = -k(x) + 5*r(x). Calculate b(a(t)). -36*t Let o(h) be the first derivative of 5*h**3/3 - 1. Let q(c) = -37*c + 27. Let i(f) = -88*f + 63. Let b(k) = -3*i(k) + 7*q(k). What is o(b(w))? 125*w**2 Let y(k) be the first derivative of 2*k**3/3 + 1381. Let p(s) = 3536*s. Determine y(p(f)). 25006592*f**2 Let g(u) = 3*u**2. Let k be (-10)/15*-15 - ((-144)/(-8) + -10). Let i(j) be the third derivative of 43*j**k + 0*j - 1/24*j**4 + 0 + 0*j**3. Calculate g(i(y)). 3*y**2 Let o(g) = 21*g - 38. Let p(s) = 13*s - 93 + s + 93 - 12*s. Determine o(p(h)). 42*h - 38 Let z(h) = 7*h + 381. Let a(w) = 84*w**2. What is z(a(g))? 588*g**2 + 381 Let d(s) = -137494842*s. Let m(x) = 2*x**2. Calculate m(d(l)). 37809663153209928*l**2 Let d(z) = 5*z**2. Let n(a) be the first derivative of -11/2*a**2 - 17 + 0*a. Calculate n(d(w)). -55*w**2 Let x(r) = -303*r**2. Let k(b) = -189852*b. Determine k(x(d)). 57525156*d**2 Let d(t) = -t**2 + 46. Let q(n) = -9260*n. Calculate d(q(p)). -85747600*p**2 + 46 Let f(d) = 7*d**2. Let c(z) = 28262*z**2 - 491. Determine c(f(g)). 1384838*g**4 - 491 Let c(u) = 9*u**2. Let a(f) be the first derivative of -59 - 7/2*f**2 + 0*f. Give c(a(b)). 441*b**2 Let k(t) = -214*t**2 + 95*t**2 + 116*t**2. Let w be (-2 - -3)/(1/4). Let i(v) = -w + 4 + 4*v. Calculate i(k(n)). -12*n**2 Let h(n) be the third derivative of n**4/24 + n**2. Let r(p) be the first derivative of -66 - 925*p - 3*p**3 + 925*p - 20. Give r(h(m)). -9*m**2 Let f(d) = -20*d**2 + 64*d + 32. Let r(m) = -2*m**2 + 6*m + 3. Let w(i) = 3*f(i) - 32*r(i). Let u(a) = -163*a**2 - 2*a + 2. What is u(w(l))? -2608*l**4 - 8*l**2 + 2 Let q(w) = -13*w. Let l(h) be the third derivative of -h**4/24 - 19*h**3/6 + 622*h**2. Determine l(q(s)). 13*s - 19 Let i(u) = -5*u**2. Let a(y) be the second derivative of 1 - 13/12*y**4 + 0*y**2 + 0*y**3 + 5*y. What is i(a(l))? -845*l**4 Let q(d) = 2*d. Let j(n) = -n**2 + 11*n + 26. Let l be j(11). Let u = l - 24. Let b(g) = 18*g**u + 97*g - 97*g. Determine b(q(a)). 72*a**2 Let m(j) = 1163989*j. Let d(p) = -p + 1. What is m(d(h))? -1163989*h + 1163989 Let u(a) be the first derivative of -2*a**2 - 3286. Let h(g) be the third derivative of g**5/12 - g**3/3 - 4*g**2. What is h(u(d))? 80*d**2 - 2 Let y(q) = 11*q**2 + 4918 + 4923 - 9841. Let i(o) = 7*o**2. What is y(i(b))? 539*b**4 Let l(b) = -4*b**2. Let f(v) be the third derivative of -v**6/45 - 3*v**4/8 + v**3/2 + 4*v**2 - 2. Let k(n) be the second derivative of f(n). Calculate l(k(g)). -1024*g**2 Let q(b) be the first derivative of 28*b**3/3 + 1647. Let v(f) = -f**2 + f + 1. Let i(o) = 24*o**2 - 22*o - 22. Let w(k) = -2*i(k) - 44*v(k). What is w(q(z))? -3136*z**4 Let p(d) be the third derivative of -7*d**5/60 - 4*d**2. Let r(q) be the second derivative of q**3/3 - 68*q - 5. Determine r(p(g)). -14*g**2 Let l(f) = -2*f**2 + 148191*f + 1. Let r(i) = -11*i. Determine l(r(x)). -242*x**2 - 1630101*x + 1 Let k(y) = 281*y - 550*y + 266*y. Let w(b) = 157*b. Determine w(k(l)). -471*l Let h(x) = 4*x. Let f(i) = 156950*i + 7. Determine f(h(m)). 627800*m + 7 Let p(s) = 23*s + 8. Let n be p(10). Let l = 900 - n. Let u(j) = 662 + 16*j - l. Let m(c) = -2*c. Determine m(u(v)). -32*v Let s(h) = h**2. Let d(n) = -102*n**2 - 16. Let o(i) = -20*i**2 - 3. Let f(v) = 2*v + 27. Let a be f(-12). Let m(c) = a*d(c) - 16*o(c). What is m(s(x))? 14*x**4 Let f(j) = -j - 1. Let l(o) = -5. Let r(m) = 25*f(m) - 5*l(m). Let p(w) = 5*w - 50. Let g(s) = 23*s - 225. Let i(d) = 4*g(d) - 18*p(d). What is i(r(x))? -50*x Let y(a) = 3852*a - 63. Let f(c) = -308*c - 5 + 15 - 5 + 0 + 0. Let h(p) = 63*f(p) + 5*y(p). Let w(n) = -2*n**2. Give w(h(x)). -41472*x**2 Let p(x) = -x**2 - 15*x - 48. Let k be p(-10). Let b(f) = -3*f**2 - k*f**2 + 3*f**2. Let n(g) = 7*g - 1. What is b(n(z))? -98*z**2 + 28*z - 2 Let p(y) = 3*y - 46628 + 0*y + 46687 - 3*y + y. Let r(u) = 20*u. What is p(r(s))? 20*s + 59 Let r(x) = x**2 + 4*x. Let p(n) be the first derivative of 41*n**3/3 - 1440. Calculate r(p(a)). 1681*a**4 + 164*a**2 Let a(l) be the first derivative of l**5/40 + 2*l**3/3 - 5*l + 98. Let u(p) be the third derivative of a(p). Let z(v) = 48*v. Give u(z(b)). 144*b Let q(x) = -2*x + 17 + 14 - 31. Let n(t) be the first derivative of 29*t**4/12 - 2*t + 44. Let l(u) be the first derivative of n(u). What is q(l(f))? -58*f**2 Let o(d) = 230*d**2. Let a(n) be the third derivative of -n**4/8 - 5*n**2 - 75. Give a(o(m)). -690*m**2 Let c(d) = -18*d - 2. Let k(f) = -f - 510384. Give c(k(x)). 18*x + 9186910 Let c(s) = -6*s**2 + s. Let j(v) = -151381*v. Determine j(c(x)). 908286*x**2 - 151381*x Let m(q) = 55*q. Let v(s) = 412651*s. Determine v(m(c)). 22695805*c Let i(w) = 5*w + 2. Let a(l) be the second derivative of 1/6*l**3 + 2*l + 0*l**2 - 3. What is a(i(x))? 5*x + 2 Let b(k) = k**2. Let d(q) = 142 - 267 + 123 - 135*q. Give b(d(t)). 18225*t**2 + 540*t + 4 Let l(c) = 11*c**2 + 3*c. Let z(k) = -30*k**2 - 10*k. Let f(w) = 20*l(w) + 6*z(w). Let u(y) be the second derivative of -5*y**4/12 - 8*y. Calculate u(f(m)). -8000*m**4 Let y(n) = 3422*n**2. Let d(q) = 5*q**2 + 4*q - 4. Let l(w) = 21*w**2 + 17*w - 17. Let a(x) = 17*d(x) - 4*l(x). Determine a(y(u)). 11710084*u**4 Let s(k) = -3480812*k - 4. Let y(h) = 16*h**2. What is s(y(f))? -55692992*f**2 - 4 Let h(i) = -217*i. Let w(f) = -130458*f. What is h(w(x))? 28309386*x Let p(q) = q. Suppose 0 = 3*r - 4*x + 34, -48*x = -2*r - 49*x - 41. Let b(s) = -8*s - 10*s + 3*s. Let o(j) = r*p(j) - b(j). Let z(w) = -6*w. Give o(z(k)). 18*k Suppose 13*o - 481716 = -5*o. Let t(m) = -26762 + 2*m + o. Let a(g) = -3*g + 5. Let v(x) = -2*x + 3. Let h(u) = 3*a(u) - 5*v(u). Calculate h(t(y)). 2*y Let x(d) = 5*d**2 + 21*d + 2. Let g(n) = -54*n. Calculate x(g(s)). 14580*s**2 - 1134*s + 2 Let z(q) = 4181*q - 1. Let b(v) = -170*v**2. Calculate z(b(p)). -710770*p**2 - 1 Let o(c) = -c + 10245. Let h(m) = 22*m + 11. What is o(h(d))? -22*d + 10234 Let h(f) = 4*f**2. Let s(w) = 17765724*w. Determine s(h(i)). 71062896*i**2 Let i(h) be the third derivative of -h**5/60 + 3*h**3/2 - 3*h**2 - 43*h + 12. Let s(z) = 88*z
{ "pile_set_name": "DM Mathematics" }
term of 20030, 40018, 60008, 80000, 99994? a**2 + 19985*a + 44 What is the j'th term of -3807, -7609, -11405, -15195? 3*j**2 - 3811*j + 1 What is the v'th term of 5393, 10768, 16125, 21458, 26761, 32028, 37253, 42430? -v**3 - 3*v**2 + 5391*v + 6 What is the h'th term of -17948, -35769, -53588, -71405, -89220, -107033, -124844? h**2 - 17824*h - 125 What is the y'th term of -229, -219, -207, -193, -177, -159? y**2 + 7*y - 237 What is the j'th term of 15790, 15787, 15784, 15781, 15778, 15775? -3*j + 15793 What is the l'th term of -190675, -381319, -571953, -762571, -953167? l**3 - l**2 - 190648*l - 27 What is the i'th term of -27, 18, 85, 174, 285? 11*i**2 + 12*i - 50 What is the l'th term of 598, 1193, 1784, 2371, 2954, 3533, 4108? -2*l**2 + 601*l - 1 What is the k'th term of 3880, 3922, 4036, 4258, 4624, 5170, 5932? 6*k**3 + 3874 What is the z'th term of 310, 2680, 9118, 21658, 42334, 73180, 116230, 173518? 339*z**3 - 3*z - 26 What is the t'th term of 138, 256, 352, 426, 478, 508? -11*t**2 + 151*t - 2 What is the v'th term of 26015, 52094, 78173, 104252, 130331? 26079*v - 64 What is the r'th term of 1864, 3828, 5792? 1964*r - 100 What is the v'th term of 31, -113, -363, -719? -53*v**2 + 15*v + 69 What is the w'th term of 19633, 19650, 19667? 17*w + 19616 What is the h'th term of -74, -75, -60, -17, 66, 201, 400, 675? 2*h**3 - 4*h**2 - 3*h - 69 What is the o'th term of 1674, 3380, 5086, 6792, 8498, 10204? 1706*o - 32 What is the o'th term of -1186, -123, 940, 2003? 1063*o - 2249 What is the c'th term of 11086, 44306, 99662, 177148, 276758, 398486, 542326? -c**3 + 11074*c**2 + 5*c + 8 What is the q'th term of 918, 919, 916, 909, 898, 883, 864? -2*q**2 + 7*q + 913 What is the m'th term of -782, -1585, -2412, -3275, -4186, -5157, -6200? -2*m**3 - 789*m + 9 What is the g'th term of -169, -452, -733, -1012, -1289, -1564, -1837? g**2 - 286*g + 116 What is the o'th term of 39, 208, 509, 948, 1531, 2264? o**3 + 60*o**2 - 18*o - 4 What is the s'th term of 19635, 39268, 58901, 78534, 98167, 117800? 19633*s + 2 What is the r'th term of 77645, 77627, 77609? -18*r + 77663 What is the o'th term of -18, -438, -1148, -2154, -3462? -o**3 - 139*o**2 + 4*o + 118 What is the v'th term of -124, -429, -734, -1039, -1344, -1649? -305*v + 181 What is the m'th term of -315, -1031, -2223, -3891, -6035, -8655, -11751? -238*m**2 - 2*m - 75 What is the n'th term of -262, -1025, -2278, -4003, -6182, -8797, -11830, -15263? 3*n**3 - 263*n**2 + 5*n - 7 What is the x'th term of 87, 149, 255, 423, 671, 1017, 1479, 2075? 3*x**3 + 4*x**2 + 29*x + 51 What is the i'th term of 40475, 40477, 40479, 40481, 40483, 40485? 2*i + 40473 What is the r'th term of -210943, -843773, -1898493, -3375103, -5273603? -210945*r**2 + 5*r - 3 What is the q'th term of -1157, -1317, -1463, -1589, -1689, -1757, -1787? q**3 + q**2 - 170*q - 989 What is the l'th term of 108, 893, 2992, 7047, 13700, 23593, 37368? 107*l**3 + 15*l**2 - 9*l - 5 What is the y'th term of -1419, -1434, -1449, -1464, -1479? -15*y - 1404 What is the x'th term of -313918, -313921, -313926, -313933, -313942, -313953? -x**2 - 313917 What is the i'th term of 15559, 15561, 15563, 15565? 2*i + 15557 What is the t'th term of -187, -247, -295, -331, -355? 6*t**2 - 78*t - 115 What is the l'th term of -3270, -3243, -3216? 27*l - 3297 What is the s'th term of -44294, -44300, -44306, -44312, -44318, -44324? -6*s - 44288 What is the c'th term of 114, 449, 1016, 1815? 116*c**2 - 13*c + 11 What is the n'th term of -808, -1653, -2498? -845*n + 37 What is the x'th term of 37315, 37177, 37041, 36907, 36775, 36645, 36517? x**2 - 141*x + 37455 What is the p'th term of 58193, 58196, 58201, 58208, 58217, 58228? p**2 + 58192 What is the q'th term of 332, 1787, 4242, 7721, 12248, 17847, 24542? 4*q**3 + 476*q**2 - q - 147 What is the k'th term of 53, 176, 415, 806, 1385, 2188, 3251, 4610? 6*k**3 + 22*k**2 + 15*k + 10 What is the w'th term of -12577480, -12577479, -12577478, -12577477? w - 12577481 What is the q'th term of -853, -857, -885, -949, -1061? -2*q**3 + 10*q - 861 What is the v'th term of 262, 1879, 6208, 14605, 28426? 226*v**3 + 35*v + 1 What is the n'th term of -165, -1420, -4833, -11484, -22453, -38820? -180*n**3 + n**2 + 2*n + 12 What is the o'th term of -274909, -549818, -824725, -1099630? o**2 - 274912*o + 2 What is the k'th term of -3351, -3283, -3179, -3045, -2887, -2711, -2523, -2329? -k**3 + 24*k**2 + 3*k - 3377 What is the o'th term of 147, 148, 165, 210, 295, 432? 2*o**3 - 4*o**2 - o + 150 What is the c'th term of -1109, -1520, -1931, -2342, -2753? -411*c - 698 What is the n'th term of -324, -544, -760, -972, -1180, -1384? 2*n**2 - 226*n - 100 What is the q'th term of -209, -772, -1713, -3032, -4729, -6804? -189*q**2 + 4*q - 24 What is the y'th term of -417, -270, -25, 318, 759? 49*y**2 - 466 What is the k'th term of -548, -589, -630, -671, -712? -41*k - 507 What is the y'th term of 1252, 1229, 1156, 1009, 764, 397, -116? -4*y**3 - y**2 + 8*y + 1249 What is the x'th term of 45921, 91740, 137559? 45819*x + 102 What is the l'th term of 4768908, 4768910, 4768912, 4768914, 4768916? 2*l + 4768906 What is the g'th term of 13200, 26320, 39438, 52554, 65668? -g**2 + 13123*g + 78 What is the f'th term of 40843, 40835, 40827, 40819, 40811? -8*f + 40851 What is the c'th term of 37, 538, 1373, 2542, 4045? 167*c**2 - 130 What is the p'th term of -222, -256, -290, -324? -34*p - 188 What is the c'th term of -9382714, -9382715, -9382716, -9382717, -9382718, -9382719? -c - 9382713 What is the z'th term of -197, -148, -17, 238, 659, 1288, 2167? 7*z**3 - z**2 + 3*z - 206 What is the i'th term of -188, -210, -232? -22*i - 166 What is the t'th term of 4581, 18327, 41229, 73281, 114477? -t**3 + 4584*t**2 + t - 3 What is the o'th term of -1628, -1614, -1594, -1568, -1536, -1498, -1454? 3*o**2 + 5*o - 1636 What is the u'th term of -19416, -19467, -19518, -19569, -19620? -51*u - 19365 What is the d'th term of 265675, 265676, 265677, 265678? d + 265674 What is the j'th term of 1510, 3005, 4482, 5941? -9*j**2 + 1522*j - 3 What is the w'th term of -4, -20, -66, -154, -296, -504? -2*w**3 - 3*w**2 + 7*w - 6 What is the c'th term of 7921, 7988, 8053, 8116, 8177, 8236? -c**2 + 70*c + 7852 What is the f'th term of -33, 24, 107, 216, 351? 13*f**2 + 18*f - 64 What is the y'th term of -1363, -871, -379? 492*y - 1855 What is the v'th term of 699, 1541, 2385, 3231? v**2 + 839*v - 141 What is the w'th term of 49, 254, 463, 676, 893, 1114, 1339? 2*w**2 + 199*w - 152 What is the s'th term of 11339, 22677, 34015, 45353? 11338*s + 1 What is the j'th term of -428, -1733, -3906, -6947? -434*j**2 - 3*j + 9 What is the n'th term of 14787, 14792, 14797, 14802, 14807? 5*n + 14782 What is the w'th term of 675, 1414, 2199, 3024, 3883, 4770, 5679, 6604? -w**3 + 29*w**2 + 659*w - 12 What is the o'th term of 24174, 48348, 72522, 96696, 120870, 145044? 24174*o What is the k'th term of -1781, -1801, -1827, -1859? -3*k**2 - 11*k - 1767 What is the z'th term of -2129, -4305, -6481, -8657? -2176*z + 47 What is the l'th term of 4490, 4486, 4482, 4478, 4474? -4*l + 4494 What is the s'th term of 1941, 3887, 5827, 7749, 9641, 11491, 13287, 15017? -2*s**3 + 9*s**2 + 1933*s + 1 What is the w'th term of 370867, 741733, 1112599? 370866*w + 1 What is the q'th term of 911, 1753, 2589, 3419? -3*q**2 + 851*q + 63 What is the j'th term of 3989, 3911, 3825, 3731, 3629? -4*j**2 - 66*j + 4059 What is the k'th term of -1591916, -1591905, -1591882, -1591841, -1591776, -1591681? k**3 + 4*k - 1591921 What is the p'th term of -11632, -11634, -11636, -11638? -2*p - 11630 What is the i'th term of 337, 694, 1299, 2152, 3253? 124*i**2 - 15*i + 228 What is the z'th term of 923, 7639, 25873, 61385, 119935, 207283, 329189? 960*z**3 - z**2 - z - 35 What is the k'th term of 10016, 10002, 9988, 9974? -14*k + 10030 What is the p'th term of -327, -658, -991, -1326? -p**2 - 328*p + 2 What is the a'th term of 62, 322, 768, 1406, 2242, 3282, 4532? a**3 + 87*a**2 - 8*a - 18 What is the u'th term of 36939, 36933, 36915, 36879, 36819, 36729, 36603, 36435? -u**3 + u + 36939 What is the h'th term of 191, 11, -289, -709? -60*h**2 + 251 What is the u'th term of 460, 477, 518, 595, 720, 905, 1162? 2*u**3 + 3*u + 455 What is the y'th
{ "pile_set_name": "DM Mathematics" }
n) = -n**3 - 22*n**2 - 4*n + 67. List the prime factors of l(-22). 5, 31 Let x be (-1)/(6/(-4) - (-1)/2). List the prime factors of x/(3/(-119))*(-6 + 3). 7, 17 Suppose -16704 = 16*z - 22*z. List the prime factors of z. 2, 3, 29 Let p = 27 - 9. Let s be 293/2 - p/(-12). Suppose -7*t + s = -3*t. List the prime factors of t. 37 Let v be ((-36)/(-24))/(3/4). Let k(x) = 3*x**2 - 2*x + 3. Let b be k(v). Suppose c = -2*h + 10, 4*c + 4 - b = 3*h. What are the prime factors of h? 3 Let z(q) = -16*q - 20. Let g be z(-3). What are the prime factors of -7*(-10)/g*-2*-6? 2, 3, 5 Let l(y) = -y**3 + 3*y**2 - y + 5. Let u be l(3). What are the prime factors of 76 + (-2)/u*-2? 2, 3, 13 Let i be -2 - 6/4*(-4)/(-6). Let t(w) = -w**2 + 4*w - 4. Let p be t(4). List the prime factors of (13 - (-2 - i)) + p. 2 Let y = 16 + -13. List the prime factors of (3 + -12)/((-40)/13 + y). 3, 13 Suppose 2*t - 3*m = -2*t + 531, -3*m - 273 = -2*t. List the prime factors of t. 3, 43 Let o = 54 - 14. Let k(w) = -1 - w - 2*w**2 + 36*w**3 - 2*w - o*w**3. What are the prime factors of k(-2)? 29 Let z(v) = 19*v - 4. Let c be 1 + (-1 - (-12)/4). List the prime factors of z(c). 53 What are the prime factors of (136/(-16))/(-2*(-2)/(-1032))? 3, 17, 43 Suppose 5*b - 3*c = -c + 14, 2*b + 5*c + 6 = 0. Let p be -601 - (0 - (-2 + 1)). What are the prime factors of (b/4)/((-7)/p)? 43 Suppose -4*r + 12*r - 64 = 0. Suppose -13*l + 100 = -r*l. What are the prime factors of l? 2, 5 Let b be (-2)/(-1) + (-40)/(-4). Let o = b - 8. Let s = o + 9. List the prime factors of s. 13 List the prime factors of 2*97 + -11 + 7 + 5. 3, 5, 13 Let t = 9 - 7. Suppose -w - 15 = t*w. Let a = w + 13. List the prime factors of a. 2 Let k = 1663 + 2174. List the prime factors of k. 3, 1279 Let x = -49 + 12. Let a = 61 + x. Let g = a + -14. List the prime factors of g. 2, 5 Let z(p) = 3 - p - 11 + 6. Let g be z(6). List the prime factors of g/2 - (-3 - 22). 3, 7 Suppose 2*k - 5*k - 5*o + 19 = 0, k - 2*o = -1. Suppose 2*n - 2 = 2*c, -2*c + k*c + 9 = -3*n. What are the prime factors of (n/3)/((-1)/54)? 2, 3 Let g be (0 - -1) + -7 + 3. List the prime factors of g/2*14/(-3). 7 Suppose -f - 4 = -0*f, 2*f = -2*z + 2. Suppose 0 = -4*c + 3*h + 367, -z*c - h = -4*c - 90. List the prime factors of c. 7, 13 What are the prime factors of 4327 - (-21)/(210/20)? 3, 13, 37 Let x(b) = b**3 - 14*b**2 - 10*b + 7. Let o(l) = 3*l - 15. Let k be o(10). What are the prime factors of x(k)? 2, 41 Let s(b) = b**3 - 14*b**2 - 9*b + 48. What are the prime factors of s(15)? 2, 3, 23 Suppose 0 = -5*z + 8*z - 24. Suppose z*y = 198 + 346. What are the prime factors of y? 2, 17 Let z(p) be the first derivative of -9*p**2 - 2*p + 20. List the prime factors of z(-4). 2, 5, 7 Let p(r) = -2*r - 23. Let m be p(-14). Suppose m*z = -10, 5*k - 2*z - 361 = -12. Let u = -1 + k. List the prime factors of u. 2, 17 Let n(s) = -s**2 - 12*s + 4. Let u be n(-4). Let p = -32 + u. List the prime factors of p. 2 Suppose -55*g + 21704 + 35111 = 0. What are the prime factors of g? 1033 Suppose -2536 = -16*m + 9448. List the prime factors of m. 7, 107 Let k = 506 - 302. Suppose 640 = -4*g + k. Let m = -75 - g. What are the prime factors of m? 2, 17 Let v be (16/10)/((-6)/(-15)). Suppose -176 = v*q - 0*q. Let l = -29 - q. List the prime factors of l. 3, 5 Let b = -102 - -231. Suppose b = 2*o - 219. What are the prime factors of o? 2, 3, 29 Let m(p) = -7 - 1 + 4*p**2 - 1 - 5*p**2. Let o be m(7). Let i = -32 - o. List the prime factors of i. 2, 13 Suppose -23307 = 47*t - 117495. List the prime factors of t. 2, 3, 167 Suppose 0 = 7*m - 3*m - j - 13, 2*j = 6. Let v(d) = d**3 + 8*d + 5. What are the prime factors of v(m)? 101 Suppose 2 + 21 = v. Suppose 5*k + v = f, k + 15 = f - 16. List the prime factors of f. 3, 11 Let k(n) = 8*n**2 + 16*n + 8. Let v be k(-6). Suppose v = 2*m + 24. What are the prime factors of m? 2, 11 Suppose -8*q - 1400 = -13*q. Let f = q + -101. What are the prime factors of f? 179 Suppose -u = 3*u + 120. Let l = 43 + u. What are the prime factors of l? 13 Suppose 20*l - 19*l - 6 = 0. What are the prime factors of 23/(-1)*(6 + -20 + l)? 2, 23 Let s(u) = -u**3 + 20*u**2 - 38*u + 12. What are the prime factors of s(6)? 2, 3 Let c = -1120 + 2248. Suppose -f + c = 3*f. Suppose f - 95 = 4*v + o, 3*o + 83 = 2*v. List the prime factors of v. 2, 23 Let q(y) = 49*y**2 + 12*y - 29. What are the prime factors of q(5)? 2, 157 Let c = 25 - 27. Let t = -10 + c. List the prime factors of 2 - 2/(8/t). 5 Suppose 0 = 3*w - 12, 4*u = 4*w + 9108 + 280. What are the prime factors of u? 2351 Suppose -3*k + 169 = 5*p, -3*p + 134 = 2*k - 5*p. Let s = k - -10. What are the prime factors of s? 73 Let a = 8 + 12. Let g = 22 - a. Suppose 0 = 5*z + j - 182, j + 68 = g*z - j. What are the prime factors of z? 2, 3 Suppose -3*q + 3098 = 20. What are the prime factors of q? 2, 3, 19 Let d(i) = 2*i**3 - 18*i**2 - i - 8. What are the prime factors of d(10)? 2, 7, 13 Let t(y) = 1 + y**2 + 1 + 1. Let l = 48 - 51. List the prime factors of t(l). 2, 3 Let j(y) = -57*y - 4. Let o(a) = -115*a - 7. Let r(z) = -5*j(z) + 3*o(z). Suppose -9*w + 4 = -13*w. What are the prime factors of r(w)? 59 Let b(u) = -3*u**3 - 2*u**3 - u**2 - 9*u**3. Let z(k) = -k**3 - 5*k**2 + 13*k - 8. Let h be z(-7). What are the prime factors of b(h)? 13 Let i = 100 - -752. List the prime factors of i. 2, 3, 71 Let o(l) = l**2 + 13*l + 6. Let c be o(-13). Let h(j) = 54*j - 57. What are the prime factors of h(c)? 3, 89 Suppose -3*l - l - 3*t = -574, 3*l = -3*t + 429. Let d(z) = -z**2 + 5*z - 4. Let p be d(3). Suppose -3*g + l = p*g. What are the prime factors of g? 29 Let v be (-4)/(-6) - (-7)/3. Suppose v*l + 2*l = 0. Suppose c - f = 16, l = -2*f - 0*f + 4. List the prime factors of c. 2, 3 Suppose 50 = 2*z - 4*w, 2*z - 73 = -3*z - 3*w. Let h = z + -21. List the prime factors of h*((-172)/16 + 2). 5, 7 Suppose -4*s + 33 = 17. Suppose -s*q + 3*q + 34 = 0. What are the prime factors of q? 2, 17 Let q = -605 + 1483. Suppose -8*g - j = -4*g - q, 210 = g + 5*j. What are the prime factors of g? 2, 5, 11 Suppose -65 = 2*b - 5*l + 239, 0 = b + l + 159. Let m = -9 - b. List the prime factors of m. 2, 37 Suppose 2711 = 8*d + 727. List the prime factors of d. 2, 31 Let v = 49 - -234. List the prime factors of v. 283 List the prime factors of (-48)/10*2390/(-8). 2, 3, 239 Suppose 205 + 859 = 8*t. Suppose 3*k = 5*k + 5*y, -2*y = 3*k. Suppose k = -5*m + t + 37. What are the prime factors of m? 2, 17 Let l = 0 + 3. Let u = 9 - 9. Suppose -t - l*t - c + 30 = u, -3*t - 4*c + 29 = 0. List the prime factors of t. 7 Let x be 8/28 + (-618)/7. Let u = 176 + x. What are the prime factors of u? 2, 11 Let g = 23 + -5. Suppose 4*i + 2*p = g, -2*i + i + 27 = 5*p. Suppose i*q - 1 = 35. List the prime factors of q. 2, 3 Let o(x) = x**3 + 11*x**2 + 11*x - 5. Let g be (12/(-8))/(9/48). What are the prime factors of o(g)? 3, 11 Let k(y) be the third derivative of 0*y + 5*y**2 - 5/6*y**3 + 2/3*y**4 + 0. What are the prime factors of k(3)? 43 Suppose 3*j + 2*j + r = 7615, -4*j = -r - 6101. List the prime factors of j. 2, 3, 127 Suppose 566*m - 571*m = -7205. What are the prime factors of m? 11, 131 Suppose 2*v - 1 - 5 = 0. Suppose -h = -5*o - 26, 3*o + v + 9 = 0. Let q(n) = -n**2 + 5*n + 13. List the prime factors of q(h). 7 Suppose 3*w - 109 = -4*a, 3*a + 5*w - 90 = -0*w. Let y = -5 - 12. Let h = a + y. List the prime factors of h. 2 Let c be (-4)/3*(-9)/6. Suppose 63 = g - 2*t, -3*t - 189 = -3*g - c*t. List the prime factors of g. 3, 7 Let q = 58 - 56. Suppose -5*g + q*g + 5*u + 171 = 0, 3*g - 171 = -3*u. List the prime factors of g. 3, 19 Suppose 0 = t - 0 - 14. Suppose t*b - 1320 = 4*b. What are the prime factors of b? 2, 3, 11 Let i(j) = -845*j - 79. List the prime factors of i(-4). 3301 Let b(y) = -y**3 - 4*y**2 - 3*y - 6. Let n = -16 + 17. Let f be n*(-3 + -3) - -1. List the prime factors of b(f). 2, 17 List the prime factors of -5 + (-2 - -167) - (-2 + -1). 163 Let z = 58 - 24. Suppose 6 = r + g, -g = -4*r - 0*g + z. Suppose 0*m = -4*m + r, -3*k = -4*m - 67. List the prime factors of k. 5 Let q = 59 - -21. Suppose -a + 80 = -q. What are the prime factors of a? 2, 5 Let c(u) = -u**3 + 19*u**2 - 8*u + 114. List the prime factors of c(16). 2, 13,
{ "pile_set_name": "DM Mathematics" }
t derivative of b**5/24 - 6*b**3 - 44. Let y(h) be the third derivative of f(h). Let v(m) = -4*m**2. What is v(y(n))? -100*n**2 Let c(y) be the second derivative of y**4/4 - 311*y. Let r(w) = 104*w**2 - 3. What is c(r(d))? 32448*d**4 - 1872*d**2 + 27 Let z(v) = v**2. Let x(a) = a**3 + 2*a**2 + a + 1. Let o be x(3). Let d = 59 - o. Let u(l) = -d + 5*l + 10 + 3*l. Determine u(z(n)). 8*n**2 Let t(v) = 16*v. Let h(y) be the second derivative of -20*y**3/3 - 353*y + 2. Give h(t(c)). -640*c Let g(p) = 7*p - 1. Let b(w) = -1211*w - 37. Give g(b(m)). -8477*m - 260 Let l(w) = -5*w + 2. Let y(h) = -h. Let k be ((-9)/5 - 0)*(-90)/27. Let p(n) = -2*n - 5*n + 1 - 1. Let g(o) = k*y(o) - p(o). Determine g(l(t)). -5*t + 2 Let l(c) = -28600*c. Let w(f) = -242*f**2. Give w(l(a)). -197946320000*a**2 Let a(x) be the third derivative of 229*x**2 + 0*x + 1/3*x**4 + 0*x**3 + 0. Let o(n) = -11*n. Determine a(o(f)). -88*f Let y(z) = 92*z**2 + 6*z. Let d(a) = 93*a**2 + 5*a. Let g(l) = 6*d(l) - 5*y(l). Let u(w) = -16 + 28 - 12 - 2*w**2. Calculate u(g(o)). -19208*o**4 Let g(z) = 2*z**2. Let i(a) = 416*a + 7. Let l(x) = x - 1. Let d(p) = -i(p) - 2*l(p). Let y(n) = -210*n - 2. Let m(b) = 2*d(b) - 5*y(b). Determine g(m(u)). 91592*u**2 Let o(x) = 2*x**2 - 4. Let r(y) = -169766*y. Give o(r(w)). 57640989512*w**2 - 4 Let v(d) be the first derivative of -3*d**2 + 473. Let g(u) = 296*u. Calculate v(g(j)). -1776*j Let b(q) = -2*q**2. Let t = 0 - -2. Let f(v) = 2*v**3 + 61*v**2 + 33*v + 92. Let x be f(-30). Let a(c) = -5*c**x - t*c**2 + 4*c**2 + 8*c**2. What is a(b(l))? 20*l**4 Let o(a) = 26*a**2 + 55*a. Let m(w) = -24*w**2 - 44*w. Let q(b) = 5*m(b) + 4*o(b). Let f(t) = 14*t. What is f(q(r))? -224*r**2 Let p(o) = -38*o**2. Let n(t) be the third derivative of t**5/4 - 5*t**2 + 113. Determine p(n(k)). -8550*k**4 Let d(s) = 2*s - 13*s + 2 + s. Let y(n) = -25*n**2 + 26*n + 104. Let f(w) = -w**2 + w + 4. Let v(h) = -26*f(h) + y(h). What is v(d(m))? 100*m**2 - 40*m + 4 Let y(b) = 4*b**2. Let m = 1445 - -3177. Let u(i) = -m + 4622 - 8*i**2. What is u(y(x))? -128*x**4 Let x(l) = 2*l**2 + 6149768. Let g(h) = 2*h. Calculate x(g(u)). 8*u**2 + 6149768 Let x(d) = -d**2 + 6*d + 168. Let h be x(-10). Let v(z) = h*z - 18*z + 15*z. Let j(y) = 2*y + 43. Calculate v(j(q)). 10*q + 215 Let a(s) = -2*s - 41534. Let z(k) = -k**2. What is a(z(r))? 2*r**2 - 41534 Let g(c) = -104*c + 322. Let r(d) = 274*d**2. Determine g(r(n)). -28496*n**2 + 322 Let n(a) = -193*a. Let o(t) = 2*t + 4*t + 6 + 0*t + 3*t - 4*t. Let c(s) = 27*s + 33. Let i(k) = 4*c(k) - 22*o(k). Give i(n(m)). 386*m Let o(k) be the second derivative of 2/3*k**3 + 0 + 0*k**2 + 91*k. Let f(l) = -4 - 18*l**2 + 15*l**2 + 4. Give o(f(h)). -12*h**2 Let w(g) = 2*g + 3220. Let l(a) = 3*a + 62. Determine w(l(d)). 6*d + 3344 Let m(d) be the second derivative of -d**3 - 914*d. Let o(s) = -2*s**2 - 30*s. Calculate o(m(f)). -72*f**2 + 180*f Let z(m) = -m - 1. Let d(u) = -4*u - 3. Let i(o) = 2*d(o) - 6*z(o). Let x(v) be the third derivative of 0*v**3 + 4*v - 1/2*v**4 + 0 + v**2. Determine i(x(q)). 24*q Let w(q) = q**2 - q. Let z(t) = -62*t**2 + 31*t. Let f(h) = 31*w(h) + z(h). Let y(c) be the third derivative of c**4/6 - 2*c**2 - 212*c + 7. Determine f(y(s)). -496*s**2 Let u(f) = -2*f**2. Let o(y) = -7962388*y. Give o(u(q)). 15924776*q**2 Let h(k) = 32081*k. Let i(b) = -1175*b + 1. Calculate i(h(u)). -37695175*u + 1 Let c(n) = 125*n + 1. Let o(h) = -43*h**2 - 8*h + 2. What is c(o(f))? -5375*f**2 - 1000*f + 251 Let w(v) = 83*v - 25*v - 21*v - 26*v + 2*v. Let u(h) = -2 - 13*h + 2. Give w(u(g)). -169*g Let b(p) = 14*p - 93. Let q(n) be the second derivative of -n**4/12 + 738*n. What is b(q(y))? -14*y**2 - 93 Let t(n) = -2316*n - 2365*n - 2312*n + 7120*n. Let y(o) be the first derivative of -o**2 + 22. Give t(y(a)). -254*a Let d(l) = -2*l - 44. Let v = 355 + -353. Let x(t) = 63*t**2 - 49*t**2 - 15*t**v. Calculate d(x(q)). 2*q**2 - 44 Let p(q) = -4*q + 4*q + 3*q**2 - 2*q**2 - 55. Let t(f) = -40799*f**2 + 20400*f**2 + 20397*f**2. Give p(t(a)). 4*a**4 - 55 Let t(d) = 0 + 337*d**2 + 0 + 224*d**2 - 562*d**2. Let c(r) = -40*r**2. Determine c(t(g)). -40*g**4 Let j(i) = 150*i - 1050. Let n be j(7). Let u(q) be the first derivative of n*q**2 - 2/3*q**3 - 7 + 0*q. Let c(x) = 4*x. Calculate u(c(g)). -32*g**2 Let j(c) = -67*c. Let z(w) = 7*w - 30*w - 27*w - 24*w + 3*w. Calculate j(z(s)). 4757*s Let y(a) = -93*a**2 - 5*a. Let k(b) = 29*b**2. Let v(q) = -3*k(q) - y(q). Let r(w) be the first derivative of w**3/3 + 2. Calculate r(v(u)). 36*u**4 + 60*u**3 + 25*u**2 Let d = 65 + -97. Suppose 42 = -77*g + 91*g. Let b(i) = 8*i + 3. Let y(x) = 88*x + 32. Let t(u) = d*b(u) + g*y(u). Let k(m) = -9*m**2. Give k(t(n)). -576*n**2 Let k(l) = 9*l. Let p(b) = 5618058*b. Calculate p(k(g)). 50562522*g Let w(o) = 3*o**2 - 3*o**2 - o**2. Let d(q) be the second derivative of -34*q**3/3 - 2*q + 4631. What is d(w(s))? 68*s**2 Let a(o) = 3*o**2 - 15*o - 5. Let k(b) = -b**2 + 12*b + 4. Let f(v) = 4*a(v) + 5*k(v). Let n(z) = -84*z**2. Calculate f(n(d)). 49392*d**4 Let p(o) = -16*o. Let d(h) = -8319*h + 115. Give d(p(l)). 133104*l + 115 Let f(i) = 3*i**2. Let l(u) be the first derivative of 0*u**3 - 8 + 0*u - 1/8*u**4 - 5/2*u**2. Let j(z) be the second derivative of l(z). Give f(j(r)). 27*r**2 Let z(l) = -l. Let d(o) = 33305*o**2 - 14*o - 7. Let i(q) = -198281315*q**2 + 83350*q + 41675. Let v(h) = 41675*d(h) + 7*i(h). Calculate z(v(r)). -16670*r**2 Let u(k) = 23*k. Let y(q) = 694*q**2 + 303. Determine y(u(o)). 367126*o**2 + 303 Let x(g) = g + 30. Let j(w) = -3*w - 120. Let z(n) = -j(n) - 4*x(n). Let y(q) = -2383*q**2. What is z(y(t))? 2383*t**2 Let g(j) be the first derivative of 5*j**2/2 - 25*j - 863. Let s(c) = -5*c. Give g(s(a)). -25*a - 25 Let y(v) = -35*v + 85*v - 27*v - 25*v. Let x(o) = -422*o**2. Give y(x(r)). 844*r**2 Let n(x) = 1 - 3 + 3*x + 19*x - 5*x. Let p(o) = -3*o**2. Give n(p(j)). -51*j**2 - 2 Let d(b) = -528*b + 1. Let k(m) = -4*m - 12187. What is d(k(g))? 2112*g + 6434737 Let h(x) = -x - 6. Let u(m) = -64*m**2 - 57*m**2 - 60*m**2 + 240*m**2 - 62*m**2. What is u(h(f))? -3*f**2 - 36*f - 108 Let t(q) = -7*q. Let l(g) = -1471771*g**2. Give t(l(d)). 10302397*d**2 Let y(r) = 9*r. Suppose -13 = 3*p - 4*w, -5*p = w - 4 - 5. Let c(k) = -14*k + 3 - 5 - 10. Let h(j) = j + 1. Let x(d) = p*c(d) + 12*h(d). Determine y(x(m)). -18*m Let n(z) = -33*z**2 + 10*z + 2. Let u(l) = 560*l**2 - 175*l - 35. Let w(x) = 35*n(x) + 2*u(x). Let v(j) = 6*j**2. Determine w(v(a)). -1260*a**4 Let g(y) = -2*y. Suppose n - l = -13, 0 = -n - 4*l - 0*l - 18. Let h = -12 - n. Let t(o) = -20 + 25*o**h + 30 - 10. Determine t(g(a)). 100*a**2 Let y(i) = -15193*i + 1. Let k(t) = 7176*t**2. What is y(k(v))? -109024968*v**2 + 1 Let p(d) = -3*d**2 - 22. Let t(s) = 665*s**2 - 760*s - 456. Let q(c) = -13*c**2 + 15*c + 9. Let f(x) = 152*q(x) + 3*t(x). Give p(f(i)). -1083*i**4 - 22 Let w(a) = -4858809*a. Let l(f) = -3*f. Determine l(w(u)). 14576427*u Let f(a) = 2025*a**2 - 340*a - 2. Let m(t) = -12*t. Determine f(m(i)). 291600*i**2 + 4080*i - 2 Let p(l) be the first derivative of 89*l**3/3 + 65. Let s(b) = -2*b**2 - 1112 + 1112. Calculate s(p(r)). -15842*r**4 Let x(t) = -2*t. Let v(h) = 33*h + 132. Let g be v(-4). Let p(a) = 2*a + 10 - 60 - a + g*a. Give p(x(l)). -2*l - 50 Let y(w) = -4*w + 3. Let p(k) be the second derivative of k**6/720 + 7*k**4 - 8*k. Let f(q) be the third derivative of p(q). Determine f(y(a)). -4*a + 3 Let v(p) = -387758249*p. Let o(h) = h**2. Determine o(v(z)). 150356459667546001*z**2 Suppose 190*p - 301*p = 0. Let z(s) be the second derivative of -22*s + 0*s**2 + p*s**3 + 1/12*s**4 + 0. Let y(a) = -44*a**2. Determine z(y(u)). 1936*u**4 Let k(t) be the second derivative of -t**3/2 - 3*t + 10749. Suppose -h = 2*h - 6. Let d(r) = -r**2 + 2*r**2 + h*r**2. Calculate k(d(j)). -9*j**2 Let u(l) = -l. Suppose -1649 = -27*d - 1892. Let t(g) = g + 2*g - 2*g. Let q(f) = 3*f**2 - 9*f. Let c(k) = d*t(k) - q(k). Calculate c(u(n)). -3*n**2 Let t(i) = 18*i + 34. Let h(v) = 32*v + 62. Let d(n) = 4*h(n) - 7*t(n). Let j(q) = 31*q. Give d(j(c)). 62*c + 10 Let z(o) = 5*o - 9*o - 10*o + 16*o - 4*o - 3*o. Let p(l) be the second derivative of 11*l**3/6 - l. What is p(z(x))? -55*x Let g(m) = -4*m + 4356704. Let j(k) = 2*k. Calculate g(
{ "pile_set_name": "DM Mathematics" }
te -1 + -1 + -18 + 23. 3 Evaluate (-79)/9 - (57 - 66). 2/9 What is (11 + -7)*1/(-1)? -4 Calculate ((-2)/(-2))/(-2*(-40)/(-16)). -1/5 7 + (-5 - (-5 - -5)) 2 What is (12584/1463)/22 - (-2)/(-7)? 2/19 Evaluate (-12 + 15)/((-6)/4 + 0). -2 Calculate (-6)/(-20) - (-11)/(-22). -1/5 What is the value of (9/(-12))/(-4 + (-68)/(-16))? -3 Calculate -3 + ((-4)/216)/((-3)/498). 2/27 What is (-1)/9 + (175/63)/(-5)? -2/3 (-260)/208*48/(-10) 6 What is the value of 7*22/(-77) + (0 - 6)? -8 Calculate (6/(-4))/(-12*(-27)/48). -2/9 ((-40)/(-210))/(12/14) 2/9 Calculate -1 + 2 + (0/(-2))/2. 1 What is the value of 0/(0 - (8 + -5))? 0 What is the value of -1 + 3/3 + (-28)/(-56)? 1/2 Calculate ((-10)/5)/(1/(3/(-2))). 3 What is the value of 1 + -6 + 2 + 8/(-4)? -5 6*7/56*-1*4 -3 Calculate ((-14)/(-4) - 3) + 165/(-264). -1/8 What is the value of ((-4)/8)/(-1 + (-6)/(-8))? 2 Calculate (-2)/(-10) - -8*(-5)/(-175). 3/7 (9/(-27))/(2 + -1) -1/3 (-9)/(-5) - 1 - (131 - 130) -1/5 Evaluate (((-2)/30)/(-1))/((-25)/(-50)). 2/15 What is the value of (-1)/((-8)/(-10)*-1)? 5/4 Evaluate 63/14 - (-6)/(-4). 3 (9/(0 - -3))/(-4 - -7) 1 Calculate (-148)/28 - (-2)/7. -5 22/21 + -2 - (-52)/78 -2/7 (-17)/7 - -2 - 128/28 -5 What is the value of (-8)/(-15) - (-2)/(-10)? 1/3 (-1)/7 - (3 - 40/35) -2 (-9 - -1) + (-4418)/(-517) 6/11 Evaluate (-1*5)/((-19)/(-19)). -5 Evaluate (6/4 + (-117)/26)/(-5). 3/5 What is -4*(-1)/1*(2 - 0)? 8 What is the value of ((32/40)/4)/(24/(-45))? -3/8 Evaluate (-10)/5 + (-21)/(-12). -1/4 Calculate (-2)/12 - 17/102. -1/3 (-4)/(7 - 3)*3 -3 Evaluate ((-3)/6)/((-5)/(-10)). -1 (8 - 1694/126) + 8/18 -5 0/14*((-18)/(-10) + -2) 0 Evaluate -2*((-152)/(-240) + 4/(-5)). 1/3 What is the value of 0/(-1)*3/(-9)? 0 Calculate (((-16)/6)/4)/(7/(-42)). 4 What is the value of (-8)/48 + 38/12? 3 What is 30/(-18)*(-9)/25? 3/5 -1 + -4 + (-46 - -54) 3 Calculate (-432)/180*30/8. -9 Evaluate 15/(-36)*2/(-20)*4. 1/6 What is the value of ((-14)/14)/(-1 + 11/(-2))? 2/13 Calculate (8/192*20)/(5/10). 5/3 7 + 4 + -10 + (-3 - -4) 2 -3 - ((-2)/2)/(4/20) 2 Evaluate (-115)/(-23) - (180/21)/2. 5/7 Calculate (-14)/60 - (0 - 60/72). 3/5 Calculate 4/14*(154/(-126) + 2). 2/9 What is (-1)/3 + (-5 - 52/(-12))? -1 What is 1*-7 + 24/(360/105)? 0 What is the value of 7 + 1628/(-231) - 2/(-6)? 2/7 (6/(-42))/((-7)/(-21)) -3/7 What is the value of 9/3*((-261)/(-27) + -8)? 5 Calculate 1/(-2)*(24/13)/2. -6/13 What is the value of (90/48)/(45/20)? 5/6 What is (-5 - (-310)/60) + (-58)/(-12)? 5 (8/64)/(3/(-4)) -1/6 Calculate (5/(-3))/(14 + -4 + -15). 1/3 Evaluate ((-6)/6)/((-2)/(-8)). -4 Evaluate 8 + -5 + 3/(3/1). 4 Evaluate (-7)/((-21)/3)*-3. -3 Calculate 6/8 + (-1470)/1512. -2/9 Evaluate -2*-3*1/12. 1/2 What is 112/(-49) + 4 + 0 + -2? -2/7 Calculate ((-205)/246)/((-10)/6). 1/2 What is 4/(-4)*(-3)/21? 1/7 What is (2/(-9))/(3/((-27)/4))? 1/2 What is the value of (6/4 - 0)*(-24)/(-12)? 3 (1/(-2))/((39/18)/(-13)) 3 44/(-418) - 165/57 -3 What is (12 - (-874)/(-72))*(-4)/10? 1/18 What is 608/285 + -3 + (-5)/(-3)? 4/5 What is the value of 8/(-42) + ((-24)/18)/(-4)? 1/7 3 + -13 + 3 - (-28)/7 -3 What is 19 + (-9 - 6) - (-1 - 3)? 8 What is the value of 3/104 - 1/(-8)? 2/13 Evaluate (1/(-3) + 0)*(-380)/(-570). -2/9 What is the value of 462/35 + -3 - 10? 1/5 Evaluate 3 - -57*(-4)/60. -4/5 Calculate 3/((-255)/68 + (-2 - -5)). -4 40/(-16) - -2*1/1 -1/2 ((-10)/4 - -2)*-2 1 What is the value of ((-17)/(-51))/(3/(-45))? -5 What is the value of (-3 - 65/(-15))/(2/(-3))? -2 What is 8*5/(-7 - 3)? -4 Calculate ((-7)/(-28))/(1/(-4)). -1 What is the value of ((-63)/(-21))/(3/(-4))? -4 What is the value of 259/(-74) - (-3)/(-6)*-3? -2 Evaluate -7 - (-14 + (-21)/(-7)). 4 Calculate 92/(-2070) - 47/(-45). 1 What is the value of 1*10/(0 + 80)? 1/8 Calculate (6 - 5)/(4 + 1 + -1). 1/4 What is (0 - (0 + -9 - 0)) + -3? 6 What is the value of 0 + 168/(-44) + 22/(-121)? -4 What is the value of ((-4)/(-16))/(10*(-6)/(-32))? 2/15 Calculate 8 - 16/(-6)*407/(-132). -2/9 (-3)/(8/32 - 1) 4 What is 24/(-9) - (-21)/(-9)? -5 What is -1 - -3*50/15 - 7? 2 Calculate 35/(-21)*6 - -8. -2 Evaluate (-4 + -6)/((-6)/(2 + 1)). 5 0 + 16/(-28) - 324/168 -5/2 (-26)/(-12)*(-42)/(-364) 1/4 What is the value of (2/(-16))/(5*11/55)? -1/8 0*(-4 - (-4)/8*9) 0 Evaluate -8 - (-112)/(2 + 6) - 4. 2 6 + -1 - 5/5 4 Calculate 0 + -3 + -1 + 1. -3 What is 6/27 - ((-4)/6 - -1)? -1/9 What is ((-285)/(-190))/((-49 - -1)/(-2))? 1/16 Calculate 39/104 - (-76)/(-288). 1/9 -6*3/30*10/(-30) 1/5 Evaluate 15/(-150)*10/(-4). 1/4 Evaluate 2/(-15)*(81/(-6))/3. 3/5 ((-189)/(-28) - 6) + -1 -1/4 (3 + (-66)/18)*-3 2 Calculate 13/5 - ((-6)/(-10) - 0). 2 ((9 - 7) + -4)*(-3)/33 2/11 Calculate (4/(-10))/((-30)/(-25)). -1/3 What is (204/(-36) + 11)*(-6)/(-8)? 4 What is 1 + -2 + (-8 - -11) + -5? -3 What is the value of (-90)/(-225) + (-12)/(-5)*-1? -2 What is the value of (-3)/((-24)/37) + 3/8? 5 What is the value of 6 + 16/(-2) + 4? 2 (-2)/(-13) + (-19)/39 -1/3 What is the value of 11*12/660 + (-29)/(-5)? 6 What is (-4 + -1)*26/(-65)? 2 Calculate (-50)/120 - (-5)/(4 + -19). -3/4 Evaluate 9/(-14) - 1/((-10)/5). -1/7 Calculate (2 - 0) + 25/(-20). 3/4 What is (24/(-3) + 10)*(1 + 0)? 2 Calculate 4/(-8)*6*(-21)/(-9). -7 Evaluate (6 - (2 + 9 - 3)) + -2. -4 Calculate -5 + (-17)/(-7) + 1 + 2. 3/7 (-45)/(-30)*(-16)/6 -4 -8 + (7 - 104/(-88)) 2/11 ((-35)/(-2))/5*4/7 2 Evaluate (24/(-60))/(2 + 36/(-15)). 1 What is the value of 9/63 - 48/42? -1 What is the value of (-14)/(-4)*(-12)/168? -1/4 What is the value of 1/(-2)*12/8? -3/4 What is (-91)/117 + (-1 - 7/(-9))? -1 Calculate -10 - (-1216)/120 - (-2)/10. 1/3 Calculate 62/(-36) + 4/(-18)*-1. -3/2 What is the value of -31 + 24 + 74/10? 2/5 What is (-1)/(-10) - (-1)/(-10 - -8)? -2/5 What is (1 - 2)*(30/(-26) + 1)? 2/13 (14/(-15))/(-1) - 68/51 -2/5 What is 9*(-6)/(-405) - (-665)/75? 9 What is the value of (5/105)/(2/6)? 1/7 What is (-1270)/(-1778) - 92/70? -3/5 What is the value of (-8520)/(-15960) + (-4)/38? 3/7 What is 10*(-24)/300 + 11/(-5)? -3 67/(-9) - (13 - 20) -4/9 What is 138/(-1127)*(-14)/3? 4/7 Evaluate (-4)/8 - (2 + 34/(-20)). -4/5 Evaluate 13/(-39) + (20/(-18))/(-2). 2/9 Calculate 0 + -4 + 23/6. -1/6 What is the value of (-1 - 3/4)/(338/(-1352))? 7 (-1*(-8 + 2))/((-28)/(-14)) 3 Evaluate (114/21 - 6) + 6/42. -3/7 ((-8)/(-8))/((-2)/10) -5 (-15)/(-2)*(-2 + 28/21) -5 What is the value of 108/(-60) + (-3)/15? -2 Calculate -6 - -3*(1 - -2). 3 (-19)/(-76) - 5/4 -1 -6*(-5)/(-10) - -7 4 2*8/10*170/(-68) -4 Calculate (-8)/6 + 663/(-117). -7 -1 + 0 + 1 + 64/(-16) -4 4 + ((-3)/3 - 0/(-6)) 3 Evaluate (-3)/(-6)*4 + -3. -1 Calculate (-7*(-12)/112)/(33/(-8)). -2/11 Calculate 3/(-18) + 1/18*-6. -1/2 What is the value of (-1)/((-2)/2) - (-14)/(-84)? 5/6 What is 1/((-135)/(-10) + -4)? 2/19 Calculate (-110 - -109)/(2*-1). 1/2 What is the value of 36/14 + -2 + (-376)/658? 0 Calculate (49 - 56) + (-32)/(-5). -3/5 Calculate 16/70*8/(-32)*-10. 4/7 -4 + 7 + -1 - (-18)/(-10) 1/5 Calculate -1*(-1)/60*-6. -1/10 Calculate -11 + 9 + (2 - -7). 7 Evaluate (2 + -2)*((-15)/(-3) - 4). 0 What is the value of (-24)/(-9) + 3/9 - 4? -1 What is the value of (-144)/(-126)*(-1)/(-8)? 1/7 What is -2*1/(-6)*(4 - -14)? 6 What is ((4/(-3))/4)/(12/36)? -1 Calculate 0 - ((-22)/165 - 57/(-90)). -1/2 Calculate (4/(-16))/(10/(-48)*-3). -2/5 Calculate (-12)/21*574/(-820). 2/5 Evaluate ((-16)/(-56))/((-3)/(-21)). 2 What is the value of (-7)/10*36/(-21)? 6/5 What is the value of 2/3*57/38? 1 Calculate ((-3)/(-12))/(209/(-152)). -2/11 ((-160)/448)/(9/(-4) - -1) 2/7 ((-297)/(-36) + -9)*-4 3 (-10)/(-12)*1*2/10 1/6 What is (-46 - -41)/(20/32)? -8 What is the value of ((-6)/105)/(1/(-5))? 2/7 What is the value of (-676)/2002 - (-2)/(-22)? -3/7 9/(-3) - ((-90)/24 + -1) 7/4 Calculate (-2)/10*(-4 - -5). -1/5 Evaluate (-8)/(-30)*(-14 + 1404/96). 1/6 Calculate (-418)/(-1881) - -5*(-14)/(-9). 8 ((-12)/40)/((-9)/144*6) 4/5 117/26 + 1/2 5 (-3 + -1)/(-6 - -8) -2 Evaluate 4*(26/32 + 13/(-13)). -3/4 7/(-294)*16 - (-4)/14 -2/21 (-2)/(-28)*4*(-161)/(-253) 2/11 Evaluate (3 + (-21)/6)*0. 0 Calculate 2/8 - 50/40. -1 Evaluate (-40)/8*(-3)/(-5). -3 ((-54)/(-72))/((-1)/4) -3 Evaluate ((-3)/(-2))/(10/(-40)). -6 What is (-4)/(-84)*-9 + 15/(-14)? -3/2 What is (-9)/(12/(-24)*-3)? -6 What is (-8)/(-14)*(-28)/12? -4/3 What is the value of (-2
{ "pile_set_name": "DM Mathematics" }
399, 1410? 2*y**2 - 15*y + 1417 What is the u'th term of 97, 383, 869, 1555, 2441, 3527? 100*u**2 - 14*u + 11 What is the w'th term of 1194, 1797, 2416, 3057, 3726, 4429? w**3 + 2*w**2 + 590*w + 601 What is the o'th term of -711041, -1422083, -2133125, -2844167, -3555209, -4266251? -711042*o + 1 What is the t'th term of -811, -967, -1121, -1273? t**2 - 159*t - 653 What is the m'th term of 5740, 11485, 17230? 5745*m - 5 What is the p'th term of -225985, -225996, -226021, -226066, -226137? -p**3 - p**2 - p - 225982 What is the j'th term of -1463, -1451, -1439, -1427, -1415? 12*j - 1475 What is the z'th term of 1159, 2088, 3651, 5860, 8727, 12264? 2*z**3 + 305*z**2 + 852 What is the b'th term of -295, -230, -165, -100, -35? 65*b - 360 What is the y'th term of -271995, -271999, -272005, -272013, -272023, -272035? -y**2 - y - 271993 What is the w'th term of -15037, -14915, -14793? 122*w - 15159 What is the h'th term of 207794, 415589, 623384, 831179, 1038974, 1246769? 207795*h - 1 What is the k'th term of 40020, 40018, 40012, 40002? -2*k**2 + 4*k + 40018 What is the f'th term of 23598, 23600, 23602, 23604, 23606? 2*f + 23596 What is the h'th term of 56336, 56333, 56330, 56327, 56324, 56321? -3*h + 56339 What is the o'th term of 1795, 1740, 1699, 1678, 1683? o**3 + o**2 - 65*o + 1858 What is the i'th term of 43, 81, 119, 151, 171, 173? -i**3 + 6*i**2 + 27*i + 11 What is the o'th term of -10744, -42959, -96650, -171817? -10738*o**2 - o - 5 What is the g'th term of -3514994, -3514993, -3514992, -3514991? g - 3514995 What is the i'th term of -7601, -30361, -68293, -121397, -189673, -273121, -371741? -7586*i**2 - 2*i - 13 What is the i'th term of -1190004, -1190002, -1190000, -1189998, -1189996? 2*i - 1190006 What is the g'th term of -13020, -13008, -12996, -12984? 12*g - 13032 What is the p'th term of 370984, 370982, 370980, 370978, 370976? -2*p + 370986 What is the n'th term of 47388, 47383, 47374, 47361? -2*n**2 + n + 47389 What is the r'th term of -366, -1227, -2582, -4431? -247*r**2 - 120*r + 1 What is the r'th term of -10383, -41537, -93461, -166155, -259619, -373853? -10385*r**2 + r + 1 What is the p'th term of -25560, -51191, -76820, -102447, -128072? p**2 - 25634*p + 73 What is the v'th term of 49501, 49494, 49487, 49480, 49473? -7*v + 49508 What is the k'th term of -33675, -67382, -101087, -134790, -168491? k**2 - 33710*k + 34 What is the l'th term of -16715, -33419, -50123, -66827? -16704*l - 11 What is the i'th term of -2522, -5040, -7558, -10076, -12594, -15112? -2518*i - 4 What is the f'th term of 6375, 6393, 6421, 6465, 6531, 6625, 6753, 6921? f**3 - f**2 + 14*f + 6361 What is the j'th term of 8964, 18403, 27842, 37281, 46720? 9439*j - 475 What is the m'th term of 70245, 70242, 70239, 70236, 70233? -3*m + 70248 What is the v'th term of -99, -226, -353? -127*v + 28 What is the v'th term of -24593, -24616, -24639, -24662, -24685, -24708? -23*v - 24570 What is the b'th term of -45444, -45456, -45474, -45498? -3*b**2 - 3*b - 45438 What is the t'th term of -4821, -9632, -14443, -19254, -24065? -4811*t - 10 What is the a'th term of -236, -503, -948, -1571? -89*a**2 - 147 What is the a'th term of 25395, 25393, 25391, 25389? -2*a + 25397 What is the m'th term of 1733, 1756, 1789, 1838, 1909? m**3 - m**2 + 19*m + 1714 What is the v'th term of 109627, 109617, 109607, 109597? -10*v + 109637 What is the k'th term of -326, -1391, -3194, -5735, -9014, -13031? -369*k**2 + 42*k + 1 What is the w'th term of -691, -1400, -2113, -2836, -3575? -w**3 + 4*w**2 - 714*w + 20 What is the q'th term of -46, 154, 506, 1016, 1690, 2534, 3554, 4756? q**3 + 70*q**2 - 17*q - 100 What is the d'th term of -1298, -3053, -5248, -7889, -10982, -14533, -18548? -d**3 - 214*d**2 - 1106*d + 23 What is the h'th term of -1015, -908, -791, -658, -503, -320? h**3 - h**2 + 103*h - 1118 What is the a'th term of 31693, 31692, 31689, 31684, 31677? -a**2 + 2*a + 31692 What is the a'th term of -282, -141, 96, 429, 858, 1383? 48*a**2 - 3*a - 327 What is the b'th term of -256, -218, -172, -118? 4*b**2 + 26*b - 286 What is the t'th term of -849, -1288, -1727? -439*t - 410 What is the s'th term of 82, 197, 394, 697, 1130, 1717, 2482? 4*s**3 + 17*s**2 + 36*s + 25 What is the h'th term of 2619, 10953, 24827, 44235, 69171, 99629, 135603, 177087? -h**3 + 2776*h**2 + 13*h - 169 What is the p'th term of 112, -13, -138, -263? -125*p + 237 What is the r'th term of 73288, 73290, 73292? 2*r + 73286 What is the n'th term of 3660826, 3660823, 3660808, 3660775, 3660718, 3660631? -n**3 + 4*n + 3660823 What is the z'th term of -88, -393, -916, -1657? -109*z**2 + 22*z - 1 What is the x'th term of 4704, 18936, 42698, 75990, 118812, 171164? 4765*x**2 - 63*x + 2 What is the f'th term of -3305, -6596, -9887, -13178, -16469, -19760? -3291*f - 14 What is the m'th term of 82, 87, 110, 151, 210? 9*m**2 - 22*m + 95 What is the i'th term of -6762, -13671, -20576, -27477, -34374, -41267, -48156? 2*i**2 - 6915*i + 151 What is the s'th term of 34198, 68401, 102606, 136813? s**2 + 34200*s - 3 What is the s'th term of 23079, 46191, 69303, 92415, 115527, 138639? 23112*s - 33 What is the n'th term of 2508, 2558, 2656, 2814, 3044, 3358, 3768? 2*n**3 + 12*n**2 + 2494 What is the j'th term of 209, 469, 759, 1079, 1429, 1809? 15*j**2 + 215*j - 21 What is the l'th term of -509, -2269, -5209, -9329? -590*l**2 + 10*l + 71 What is the o'th term of -786, -3337, -7580, -13509, -21118, -30401, -41352, -53965? o**3 - 852*o**2 - 2*o + 67 What is the u'th term of -139, -363, -587, -811? -224*u + 85 What is the o'th term of -1826590, -3653181, -5479772, -7306363? -1826591*o + 1 What is the p'th term of 20, 265, 908, 2141, 4156, 7145? 32*p**3 + 7*p**2 - 19 What is the q'th term of -2128, -2129, -2108, -2071, -2024, -1973, -1924, -1883? -q**3 + 17*q**2 - 45*q - 2099 What is the x'th term of 85, 369, 851, 1531, 2409? 99*x**2 - 13*x - 1 What is the u'th term of 170, 888, 2846, 6668, 12978, 22400, 35558? 104*u**3 - 4*u**2 + 2*u + 68 What is the d'th term of -122, -277, -536, -899, -1366? -52*d**2 + d - 71 What is the x'th term of -49, -38, 7, 104, 271, 526, 887, 1372? 3*x**3 - x**2 - 7*x - 44 What is the f'th term of -5372, -21554, -48530, -86306, -134888? -f**3 - 5391*f**2 - 2*f + 22 What is the s'th term of 8213, 16408, 24603? 8195*s + 18 What is the r'th term of -94, -265, -558, -979, -1534? -r**3 - 55*r**2 + r - 39 What is the u'th term of -37422, -37417, -37412, -37407, -37402, -37397? 5*u - 37427 What is the w'th term of -6153, -5879, -5605, -5331? 274*w - 6427 What is the f'th term of -320, -1288, -2904, -5168, -8080? -324*f**2 + 4*f What is the i'th term of -5237, -5168, -5055, -4898, -4697, -4452, -4163? 22*i**2 + 3*i - 5262 What is the l'th term of -407, -805, -1175, -1505, -1783, -1997? 2*l**3 + 2*l**2 - 418*l + 7 What is the z'th term of -23862, -47720, -71600, -95514, -119474? -2*z**3 + z**2 - 23847*z - 14 What is the z'th term of -458, -141, 174, 487, 798, 1107, 1414? -z**2 + 320*z - 777 What is the s'th term of -6726, -13449, -20172, -26895, -33618, -40341? -6723*s - 3 What is the j'th term of -387321, -387311, -387287, -387243, -387173, -387071? j**3 + j**2 - 387323 What is the n'th term of 1419, 5833, 13191, 23493, 36739, 52929? 1472*n**2 - 2*n - 51 What is the q'th term of -380738, -380737, -380736? q - 380739 What is the j'th term of 42, 134, 222, 306? -2*j**2 + 98*j - 54 What is the r'th term of 15307, 15312, 15317, 15322, 15327, 15332? 5*r + 15302 What is the q'th term of -3625, -29449, -99531, -235999, -460981? -3688*q**3 - q**2 - 5*q + 69 What is the i'th term of -4860545, -4860547, -4860549? -2*i - 4860543 What is the y'th term of 135480, 135490, 135500, 135510, 135520? 10*y + 135470 What is the x'th term of 30956, 61879, 92802, 123725, 154648? 30923*x + 33 What is the p'th term of -95, -555, -1771, -4121, -7983, -13735? -63*p**3 - 19*p - 13 What is the y'th term of -948, -956, -976, -1014, -1076? -y**3 - y - 946 What is the k'th term of -9, -154, -391, -720, -1141, -1654? -46*k**2 - 7*k + 44 What is the b'th term of 25203, 50410, 75621, 100836, 126055, 151278? 2*b**2 + 25201*b What is the b'th term of 109626, 109627, 109628, 109629, 109630, 109631? b + 109625 What is the r'th term of -439, -3221, -7873, -14407, -22
{ "pile_set_name": "DM Mathematics" }
2 + 57*k)*(-2 + k**2 + 2 + k**2 + k - k + (-4*k + k + k)*(-4*k + 3*k + 0*k)). -4*k**4 + 136*k**3 Expand (0 + 2 + 1)*(s**4 + 50*s**2 - 1 - 6*s - 50*s**2). 3*s**4 - 18*s - 3 Expand (-2 + 2 + 1 + (-2 + 3 + 1)*(-3 - 1 + 5) - 4 + 4 - 1 + 31 - 37 + 38)*(-5*l + 5*l + 2*l)*(4*l + l**2 - 4*l). 68*l**3 Expand 13*h**2 - 4*h**2 + 0*h**2 + (0*h + 0*h + 2*h)*(-3 + 3 - 3*h). 3*h**2 Expand (-1 + 4 - 1)*(16 + 13 - 28)*(15*o**4 + 9*o**4 - 6*o**4 + (3*o**3 + o**3 - 5*o**3)*(0*o + 3*o - 4*o) + o**4 - 2*o**4 - o**4 - o**4 - 2*o**4 + 5*o**4). 38*o**4 Expand (-2*f + 0*f - 2*f)*(-1 + 0 - 1 + (25 - 16 + 26)*(2 + 1 - 1)). -272*f Expand (-21*p + 21*p - 4*p**2)*(3*p + 0*p - p)*(-2 - 16 - 4). 176*p**3 Expand (9*u**2 - 9*u**2 + 4*u**3)*(-4 - 3 + 2 + (4 + 1 - 4)*(-3 + 2 + 2)) - u**3 + 5*u**3 - 3*u**3. -15*u**3 Expand -216*k**4 - 11*k**2 - 4*k**3 + 6*k**3 + 218*k**4 + (0*k - 5*k + 4*k)*(0*k + 0*k + k**3). k**4 + 2*k**3 - 11*k**2 Expand (1 + 2 - 1)*(2*a + a - 5*a) - a + a - a - 2*a + 3 - 3 - 2*a + 4*a - 3*a + (-2 + 0 + 0)*(-3*a - 2*a + 7*a) + 4*a - 2*a - 4*a + 9*a + 171*a - 103*a. 63*a Expand ((-6 - 1 + 6)*(5*s - s**2 - 5*s) + (3*s + 2 - 2)*(s - 3*s + 0*s))*(-5 + s + 5)*(7 + 2 + 4). -65*s**3 Expand (7*n + 2*n - 5*n)*(4*n**2 + n**2 - 3*n**2)*(-2 + 8*n + 2) + 0*n**4 + 2*n**4 - 3*n**4. 63*n**4 Expand (-1 + 6 - 1)*(-5 + 5 + 17)*(4*u**3 - 2*u**3 - 4*u**3). -136*u**3 Expand (-t**3 - 3*t**2 + 3*t**2)*(-636 - 719 + 225). 1130*t**3 Expand (1 + 0 + 2)*((5 - 11*j - 5)*(-3 + 3 + j) + j**2 - 13*j**2 - 9*j**2). -96*j**2 Expand (3*o**2 + 2*o**2 - 2*o**2)*(51*o**2 - 1 - 50*o**2 - 29*o + 3). 3*o**4 - 87*o**3 + 6*o**2 Expand (-3*n + 0*n + n)*(-2 - 1 + 2)*(2*n**4 - 2*n + 2*n). 4*n**5 Expand (316*m**2 - 316*m**2 + 53*m**5)*(-8 - 5 + 2). -583*m**5 Expand (4*t - 4*t + 2*t)*(1350 - 1350 - 1186*t + 10828*t - 82*t). 19120*t**2 Expand 3*z**2 - 5*z**2 + 5*z**2 + (0*z - 2*z + z)*(0 + 0 + 2*z) + (2*z + 3*z - 1096 + 1113)*(6*z - z - 4*z). 6*z**2 + 17*z Expand (-3*w**3 + 4*w**3 - 3*w**3)*(-2*w + w - 3*w)*(-66*w + 9 - 63*w + 130*w). 8*w**5 + 72*w**4 Expand 4 + 6*d**5 - 4 + (-5*d**3 + 0*d**3 + 3*d**3)*(2*d**2 - 2*d**2 - d**2) - 3*d**5 + 0*d**5 - d**5 - 1 + 1 + d**5 + 3*d**5 - 3*d + 3*d. 8*d**5 Expand v**3 + 3 - 3 - 5*v**3 - 4*v + 7*v - v - 3*v**3 + 2*v**3 - v**3 + (0*v - 4*v + v)*(v - v**2 - v). -3*v**3 + 2*v Expand (4 + 0 - 1 + (-1 + 1 + 3)*(-5 + 6 + 2) + 6 - 2 - 2)*(5 - 3 - 3)*(1 - 3 + 4)*(-y**3 + y**3 - 2*y**4). 56*y**4 Expand (m**3 + 2*m**3 - 5*m**3)*(m**2 - 2 + 2) - 2*m**5 + 3 - 3 + 15136*m**2 - 15136*m**2 - 118*m**5 + 0*m + 0*m - 2*m**5. -124*m**5 Expand (-8 + 102 + 237)*(0*o - 5*o + 6*o) - 1 + 1 - o + o + 2 - 2 + 0 - 2*o + 0 - 2*o + 0 + 0 + (o - o + o)*(-2 - 3 + 4) + 4*o - 3*o + o + o + 0*o + o. 330*o Expand (5 + 2*a**3 - 7 - 6)*(1 - 6 + 3)*(3 - 3 - 5)*(0*a**2 + 0*a**2 - a**2). -20*a**5 + 80*a**2 Expand (-2*b**3 + 0*b**3 + 3*b**3)*(-15*b**2 + 22*b**2 - 101*b**2) + (b**4 + 0*b**4 - 2*b**4)*(5*b + 0*b - 4*b) + 0*b**5 + 0*b**5 - b**5. -96*b**5 Expand j - j - 2*j**3 + (0*j + 6*j - 3*j)*(-4*j**2 + 20*j**2 - 37*j**2). -65*j**3 Expand -3*v**5 - 3*v**5 + 5*v**5 + 0*v**4 + 2*v**5 + 0*v**4 + (-2*v**3 - v**3 + v**3)*(-v**2 + v**2 + 11*v**2). -21*v**5 Expand (0*p + 0*p + 2*p)*(p - 4*p**2 - p) + 927*p**2 + 344*p**3 - 927*p**2. 336*p**3 Expand (50 - 10*n**2 - 50)*(-4*n**2 + 2*n**2 + n**2)*(4*n + 0*n + 5*n). 90*n**5 Expand (1006*u - 6609*u + 575*u + 1316*u)*(5 - 2 - 1). -7424*u Expand ((0 + 0 + 1)*(2*m + m - 2*m) - 4*m + 0*m + 2*m + 13 + 7*m - 13)*(-13 + 9 - 10). -84*m Expand (4*k**2 - 34*k**2 + 5*k**2)*(-5*k + 9*k + k) + k**3 + 3 - 3 + 3*k**3 + k**3 - 6*k**3 + (-1 + 1 + 2*k)*(3*k - 3*k + 2*k**2). -122*k**3 Expand (-k**2 - 5*k**2 + k**2 + (5*k - 2*k - k)*(0*k + 3*k - 2*k))*(0*k + 3*k + 0*k) + 5*k**3 - k**3 - 2*k**3. -7*k**3 Expand ((2*d - 4*d + d)*(-2*d**2 + d - d) + 0*d**3 + 0*d**3 + d**3)*(17 + 2*d + 7 + 14). 6*d**4 + 114*d**3 Expand (-4 + 4 + 42*c**2)*(3*c - c - 3*c)*(-2 + 5 - 1). -84*c**3 Expand (-22 - 15 + 27)*(3*j**2 - 5*j**2 + j**2). 10*j**2 Expand (4*u**2 - 4*u**2 - u**2)*(u - 2*u - u) - 56*u**3 + 73*u**3 - 298*u**3. -279*u**3 Expand (-4 + 2 - 1)*(1 + c**4 - 1) + 0*c**4 + 0*c**4 + 6*c**4. 3*c**4 Expand (73*c - 12*c - 5*c)*(-5*c - c + 4*c). -112*c**2 Expand 2*r**4 - 3*r**4 - r**4 + (-5*r**2 - 4*r**2 + r**2)*(-4*r + r**2 + 4*r) + r**4 + 6*r**4 - 2*r**4. -5*r**4 Expand (4*q**3 + 13*q**3 - 5*q**3)*(2 - 3*q**2 + q**2 + 3*q**2). 12*q**5 + 24*q**3 Expand 2*j - 3*j - 6*j - j + 3*j + 0*j + (2 + 0 - 3)*(3*j - j - j) - 5*j + 3*j + 0*j + 2*j + 4 - 4 - 2*j - 3*j + 12*j. j Expand 2*y**5 + 0*y**2 + 0*y**2 + (-27*y - 75*y + 15*y)*((0*y**2 + 0*y**2 - 2*y**3)*(-4*y - 2*y + 4*y) - 3*y**4 + 3*y**4 + y**4). -433*y**5 Expand 2*z**3 - 2*z**3 - 4*z**5 + (0*z**4 + 2*z**4 - z**4)*(0 + z + 0) + (-7*z - 6*z + 0*z)*(2*z**4 - 5*z**4 + z**4). 23*z**5 Expand (a - 4*a + a)*(a**3 - 5*a**3 + 3*a**3) + 2*a**4 - 2*a**4 + 2*a**4 + (-3 + 0 + 2)*(-5*a**2 + 2*a**4 + 4*a**2 + 0*a**4). 2*a**4 + a**2 Expand -943 - 107*j + 943 + (3 - 2 + 1)*(j + j + 0*j) + (0*j + 3*j - 5*j)*(-1 - 2 + 2) + j + 1 - 1. -100*j Expand (i**4 - 5*i**4 + 2*i**4)*(-4*i + 3*i + 0*i) + (-3*i + 3*i - 3*i)*(i - 2 + 2)*(-6*i**3 + 20*i**3 - 60*i**3). 140*i**5 Expand (g - 2*g + 2*g)*(0 - 3*g + 0) + g - 4*g**2 - g + g**2 + 3*g**2 + 5*g**2. 2*g**2 Expand (-f**2 + 7*f**2 - 4*f**2)*(-4*f**2 + f**2 + 2*f**2) + (8 - 8 + 5*f)*(3*f**3 + 3*f**3 + 0*f**3). 28*f**4 Expand (0*z**4 - 4*z**4 + 3*z**4)*((-4 + 5 - 5)*(1 - 5 + 0) + 0 + 1 + 1 + (3 + 1 - 3)*(0 + 1 - 3) - 4 + 5 - 2 + 3 - 4 + 2). -16*z**4 Expand (-2*g + 2*g + 2*g)*(-308*g**2 + 312*g**2 - 101*g + 0*g**4 - 3*g**4). -6*g**5 + 8*g**3 - 202*g**2 Expand 14 - 14 - 12*a**4 + (4*a**2 - 4*a**2 + a**2)*(-4*a**2 + a**2 - 2*a**2). -17*a**4 Expand ((3*c - 6*c + 2*c)*(-c**3 - 3*c**3 + 5*c**3) - 3*c**4 + 4*c**4 - 2*c**4)*(-c - 2 + 2)*(-3 + 5 - 15). -26*c**5 Expand (-5*j - 3*j + 3*j)*(2 + 2 - 3) + 4*j - 4*j + 4*j. -j Expand (-4*u - 8*u**3 + 4*u)*(-4*u - u + 6*u)*(-4*u + 2*u + 0*u). 16*u**5 Expand -8*b**2 + 8*b**2 - 3*b**5 - b**5 - 2*b**5 + b**5 - b**5 + 2*b**5 - 3*b**5 + (-3*b + 3*b - 2*b**3)*(-1 + b**2 + 1) - 90*b**5 + 195*b**5 - 98*b**5. -2*b**5 Expand (4*j + 0*j - j)*(-3*j + 3*j - j**2) + (0*j**2 - 4*j**2 - 10*j**2)*(-3*j - 3*j + 3*j). 39*j**3 Expand -68*h**2 - 661*h**2 + 224 - 224 - h + h + h**2 + (0*h**2 - h**2 - h**2)*(0 + 0 + 2). -732*h**2 Expand 24*s**3 + 7*s**3 + 0*s**3 + (-1 + 0 + 3)*(s + 3*s**3 - s). 37*s**3 Expand (z**2 - 9*z**2 - 3*z**2)*(14 + 4 + 0). -198*z**2 Expand -47*q**5 + 49*q**5 + 2*q**2 + 56*q**5 + (2*q**4 + q**4 - q**4)*(-2*q + 5*q - q). 62*q**5 + 2*q**2 Expand (-1 + 2 - 2)*(-180*j + 117 - 117)*(j**3 - 2*j + 2*j). 180*j**4 Expand (v - 4*v + 4*v + 7*v - 2*v - 8*v + (2*v - 3*v + 2*v)*(2 - 6 + 3) + 3*v - 3*v + 2*v)*(2 - 2 - 3) + (-v + 7 - 7)*(-1 + 2 + 0). 2*v Expand (-676*c**2 + 0 + 607*c**2 + 0)*(0*c**3 + 3*c**3 - c**3). -138*c**5 Expand (-232 + 6*r**2 + 232 + (-2*r + 5*r - 2*r)*(-3 - 2*r + 3))*(r - 2*r + 0*r)*(1 - 1 - r**2). 4*r**5 Expand (0*h + 3*h - h)*(11 - 153 - 80 + 12). -420*h Expand -1277 + 1277 + 48*b**3 + (2*b**2 - 2*b**2 + 3*b**2)*(0*b + 2*b + 0*b). 54*b**3 Expand (-3 + u + 3)*(-6*u + u + 0*u)*(-55*u - 1 - 135*u**2 + 134*u**2 + 19*u). 5*u**4 + 180*u**3 + 5*u**2 Expand (-5*l**2 - 10*l**2 + 6*l**2)*(-9 - 14 + 2) + (0*l - 2*l + l)*((2*l + l - 2*l)*(-3 - 1 + 5) + 2*l + l - l). 186*l**2 Expand (0*w - 12 - w + 3*w)*(0 - 4 + 6)*(2 - 1 - 3) + w + 0*w - 3*w. -10*w + 48 Expand 4*y**2 - 15*y**2 + 6*y**2 + 2*y - 2*y**2 - y**2 + 5*y**2 + (2 - 16 + 0)*(-y**2 - 1 + 1). 11*y**2 + 2*y Expand (0*o**4 - 2*o**4 - 2*o**4)*(33 - 88*o - 8 - 27). 352*o**5 + 8*o**4 Expand (-16*q + 15*q + 11*q)*(-4*q**3 + 0*q**3 + 3*q**3). -10*q**4 Expand (z**2 - 4*z**2 - 3 + 0*z**2)*(5*z**2 + 25*z**2 + 14*z**2). -132*z**4 - 132*z**2 Expand -3*q**4 + 0*q**4 + q**4 + (3*q**2 - 8*q**2 + 4*q**2)*(q**2 + 1 - 1). -3*q**4 Expand g - 4*g + 5*g + g - g - g + 3 - 3 - g + (3 + 3 - 5)*(-2*g + 2*g + 3*g). 3*g Expand (1 - 4 - 1)*(110*s - 7*s + 8*s + 25*s). -544*s Expand (2*g**2 - 2*g + 2*g - 4*g + 4*g - 27*g**2 + (0 + 0 - 2*g**2)*(-4 + 2 + 3))*(-2 + 1 + 2). -27*g**2 Expand (205 - 73 + 40)*(-3*l + 6*l - l)*(4 + 2*l - 4). 688*l**2 Expand ((1 + 1 - 1)*(1 - 1 + 4) + 8 - 3 - 2)*(-3*o**5 + 5*o**5 + o**5 + (-2 - 2*o + 2)*(-2*o**3 + 2*o**3 + 2*o**4)). -7*o**5 Expand (-3*i - 2*i + 1
{ "pile_set_name": "DM Mathematics" }
e hundreds digit of 2664? 6 What is the thousands digit of 4019? 4 What is the units digit of 1657? 7 What is the units digit of 1205? 5 What is the tens digit of 117456? 5 What is the tens digit of 23856? 5 What is the hundreds digit of 306? 3 What is the tens digit of 36? 3 What is the hundreds digit of 26936? 9 What is the hundreds digit of 16923? 9 What is the hundreds digit of 8817? 8 What is the tens digit of 4207? 0 What is the thousands digit of 5820? 5 What is the tens digit of 5963? 6 What is the thousands digit of 27483? 7 What is the units digit of 2982? 2 What is the units digit of 1035? 5 What is the units digit of 3647? 7 What is the hundreds digit of 853? 8 What is the tens digit of 16115? 1 What is the hundreds digit of 4514? 5 What is the thousands digit of 2161? 2 What is the hundreds digit of 886? 8 What is the hundreds digit of 11249? 2 What is the units digit of 1052? 2 What is the units digit of 247? 7 What is the hundreds digit of 489? 4 What is the tens digit of 183? 8 What is the hundred thousands digit of 129911? 1 What is the units digit of 2632? 2 What is the tens digit of 754? 5 What is the tens digit of 169? 6 What is the tens digit of 885? 8 What is the units digit of 6493? 3 What is the ten thousands digit of 130587? 3 What is the hundreds digit of 8421? 4 What is the thousands digit of 10033? 0 What is the units digit of 3955? 5 What is the tens digit of 6713? 1 What is the tens digit of 884? 8 What is the units digit of 781? 1 What is the units digit of 2335? 5 What is the hundreds digit of 443? 4 What is the tens digit of 1909? 0 What is the thousands digit of 57505? 7 What is the hundreds digit of 3687? 6 What is the ten thousands digit of 26219? 2 What is the units digit of 3507? 7 What is the hundreds digit of 1312? 3 What is the ten thousands digit of 47975? 4 What is the hundreds digit of 11545? 5 What is the tens digit of 2015? 1 What is the thousands digit of 60933? 0 What is the thousands digit of 178656? 8 What is the tens digit of 68151? 5 What is the tens digit of 37470? 7 What is the units digit of 4172? 2 What is the units digit of 1600? 0 What is the tens digit of 36790? 9 What is the hundreds digit of 3294? 2 What is the thousands digit of 28368? 8 What is the tens digit of 4771? 7 What is the units digit of 14882? 2 What is the hundreds digit of 54384? 3 What is the ten thousands digit of 28604? 2 What is the hundreds digit of 525? 5 What is the tens digit of 579? 7 What is the tens digit of 46? 4 What is the hundreds digit of 11327? 3 What is the tens digit of 938? 3 What is the tens digit of 4506? 0 What is the ten thousands digit of 15851? 1 What is the units digit of 347? 7 What is the tens digit of 1528? 2 What is the ten thousands digit of 43531? 4 What is the tens digit of 11096? 9 What is the hundreds digit of 7350? 3 What is the thousands digit of 5871? 5 What is the thousands digit of 15467? 5 What is the tens digit of 13162? 6 What is the tens digit of 15534? 3 What is the units digit of 1124? 4 What is the units digit of 58134? 4 What is the units digit of 10596? 6 What is the hundred thousands digit of 109150? 1 What is the units digit of 735? 5 What is the tens digit of 123? 2 What is the tens digit of 6002? 0 What is the units digit of 955? 5 What is the thousands digit of 3627? 3 What is the tens digit of 46326? 2 What is the tens digit of 1827? 2 What is the hundreds digit of 514? 5 What is the thousands digit of 2882? 2 What is the thousands digit of 2721? 2 What is the tens digit of 5096? 9 What is the thousands digit of 186014? 6 What is the hundreds digit of 1080? 0 What is the thousands digit of 2745? 2 What is the tens digit of 5544? 4 What is the tens digit of 47? 4 What is the tens digit of 55650? 5 What is the hundreds digit of 553? 5 What is the tens digit of 1430? 3 What is the hundreds digit of 2052? 0 What is the hundreds digit of 1297? 2 What is the units digit of 189934? 4 What is the tens digit of 3454? 5 What is the tens digit of 88501? 0 What is the tens digit of 11394? 9 What is the thousands digit of 12953? 2 What is the tens digit of 8304? 0 What is the thousands digit of 1693? 1 What is the ten thousands digit of 29692? 2 What is the units digit of 68800? 0 What is the units digit of 6092? 2 What is the hundreds digit of 3644? 6 What is the tens digit of 161332? 3 What is the units digit of 666? 6 What is the thousands digit of 2134? 2 What is the tens digit of 1633? 3 What is the hundreds digit of 13325? 3 What is the thousands digit of 6419? 6 What is the units digit of 139062? 2 What is the tens digit of 11693? 9 What is the units digit of 40364? 4 What is the hundred thousands digit of 142452? 1 What is the hundreds digit of 25365? 3 What is the thousands digit of 1640? 1 What is the units digit of 20190? 0 What is the hundreds digit of 2936? 9 What is the units digit of 30323? 3 What is the thousands digit of 1350? 1 What is the units digit of 41424? 4 What is the units digit of 1046? 6 What is the hundreds digit of 33648? 6 What is the thousands digit of 1432? 1 What is the tens digit of 150? 5 What is the units digit of 112? 2 What is the units digit of 1101? 1 What is the units digit of 645? 5 What is the hundreds digit of 48500? 5 What is the hundreds digit of 12212? 2 What is the thousands digit of 2682? 2 What is the hundreds digit of 43437? 4 What is the ten thousands digit of 22268? 2 What is the ten thousands digit of 46338? 4 What is the thousands digit of 18621? 8 What is the ten thousands digit of 40112? 4 What is the tens digit of 19717? 1 What is the tens digit of 923? 2 What is the hundreds digit of 64816? 8 What is the units digit of 1710? 0 What is the tens digit of 6652? 5 What is the thousands digit of 2472? 2 What is the units digit of 2749? 9 What is the hundreds digit of 1993? 9 What is the units digit of 53? 3 What is the ten thousands digit of 43625? 4 What is the tens digit of 8796? 9 What is the thousands digit of 12303? 2 What is the hundreds digit of 1184? 1 What is the tens digit of 8005? 0 What is the tens digit of 7253? 5 What is the tens digit of 74774? 7 What is the units digit of 149? 9 What is the units digit of 1962? 2 What is the thousands digit of 9061? 9 What is the tens digit of 3218? 1 What is the tens digit of 16737? 3 What is the thousands digit of 24335? 4 What is the tens digit of 4429? 2 What is the thousands digit of 8127? 8 What is the tens digit of 49982? 8 What is the tens digit of 1623? 2 What is the tens digit of 419? 1 What is the hundreds digit of 29185? 1 What is the units digit of 1425? 5 What is the hundreds digit of 14135? 1 What is the tens digit of 64962? 6 What is the thousands digit of 25981? 5 What is the units digit of 6535? 5 What is the hundreds digit of 14132? 1 What is the thousands digit of 4877? 4 What is the tens digit of 1635? 3 What is the hundreds digit of 1340? 3 What is the thousands digit of 4964? 4 What is the ten thousands digit of 13601? 1 What is the units digit of 9613? 3 What is the ten thousands digit of 109463? 0 What is the hundreds digit of 2588? 5 What is the units digit of 10127? 7 What is the units digit of 1516? 6 What is the units digit of 6669? 9 What is the hundreds digit of 367? 3 What is the tens digit of 13754? 5 What is the hundreds digit of 6133? 1 What is the thousands digit of 26029? 6 What is the tens digit of 193? 9 What is the hundreds digit of 1241? 2 What is the thousands digit of 79853? 9 What is the hundreds digit of 1116? 1 What is the hundreds digit of 17020? 0 What is the thousands digit of 7447? 7 What is the hundreds digit of 1654? 6 What is the hundreds digit of 29270? 2 What is the hundreds digit of 18359? 3 What is the units digit of 8659? 9 What is the tens digit of 41921? 2 What is the thousands digit of 27793? 7 What is the hundreds digit of 4001? 0 What is the tens digit of 405? 0 What is the tens digit of 28134? 3 What is the units digit of 14539? 9 What is the hundreds digit of 1641? 6 What is the tens digit of 1021? 2 What is the tens digit of 874? 7 What is the hundreds digit of 96989? 9 What is the ten thousands digit of 43802? 4 What is the units digit of 6925? 5 What is the ten thousands digit of 17934? 1 What is the hu
{ "pile_set_name": "DM Mathematics" }
? True Let i be (4 - (2 + 0)) + -8. Is (1 + -90)/(i/6) a prime number? True Let f(l) = 12*l + 1. Suppose s = -0*s + 7. Is f(s) composite? True Suppose 0 = 4*z + 4*l - 376, 0 = 3*l - 2*l - 5. Let y = z + 41. Suppose -3*k - 5*s = -0*s - y, 0 = 5*s - 25. Is k prime? False Suppose k + 0*k - 12 = 0. Let f be ((-6)/12)/((-2)/k). Suppose -g = f*g - 92. Is g a composite number? False Suppose 9 - 33 = 4*h. Is 681/7 - h/(-21) a composite number? False Suppose x + 1 = 3. Suppose -2*u + 123 = -3*h + 490, x*u = -2*h + 228. Is h composite? True Let i(t) = t**3 - 3*t**2 + 1. Let g be i(2). Let h be (g - -4)*-7*1. Is (-383)/h + 6/21 prime? False Let v = 0 - -3. Is v/2*(-260)/(-6) prime? False Suppose 0 = 3*w + 2*y + 185, w + y + 74 - 11 = 0. Let s = 136 + w. Is s a composite number? True Suppose -i = 2, 170 = 5*h + 2*i - 591. Suppose 0 = -5*t + 2*t + h. Is t a prime number? False Let o = 11 + -7. Suppose z + o*z + 3*j = 75, 4*z - 60 = 4*j. Is z a prime number? False Let c = 40 - 24. Suppose -2*y = -3*z - 15, c = 5*y + z - 30. Suppose 4*w - 74 = f, f - 6*f = -w + y. Is w prime? True Let l(p) = -p**3 - 5*p**2 - 4. Let x be l(-5). Is 85/(-2)*(x - -2) a composite number? True Suppose 0*s - 885 = -5*s. Is s composite? True Let u = 4 - 1. Suppose 0 = -u*i + 4*r + 448, -5*i - 4*r - 312 = -1048. Let g = i - 21. Is g a prime number? True Let p(x) = x**3 + 8*x**2 - 10*x + 7. Let y be p(-9). Suppose 4*u - 4*q = -0*u + y, 7 = 4*u + 5*q. Suppose u*a - 423 = -0*a. Is a a prime number? False Let o(q) = -4*q - 2. Let n be o(2). Is (-236)/n*(-30)/(-12) a prime number? True Is 36 + -39 + -1 + 1 + 1942 prime? False Let t = 4 - 6. Let a = 0 - t. Is -11*(-3)/(3/a) a prime number? False Let x(l) = 8*l**3 - 10*l**2 - 6*l + 7. Let k(w) = 6*w - 1. Let d be k(1). Is x(d) a composite number? False Suppose -n - 4*n = 10. Let z(x) = 2*x**3 + 3*x**2 + 2*x + 3. Let t be z(n). Is t/(1*(-1)/3) a prime number? False Suppose -3*n - 2*n + 15 = 0. Suppose n*t = -0*t + 42. Is t a composite number? True Let m(u) = 18*u - 1. Let t = 2 - 3. Let r be m(t). Is -2*(0 - r/(-2)) a prime number? True Let f be ((-1)/(-2))/(2/(-52)). Let n = f + 9. Is n/14 - 1623/(-21) composite? True Suppose 0*f = -f - 4, -d = f - 23. Let b be (-2)/(-9) + 318/d. Suppose -c + 23 = -b. Is c composite? True Let i(f) = f**2 + 7*f + 5. Suppose -4*q = -4*v + 24, -q - 4*v = 11 + 5. Let b be i(q). Suppose c - 2*c + b = 0. Is c a prime number? True Let n = -17 - -8. Let l(g) = -g**3 + g. Let r(o) = -o**3 - 13*o**2 + 2*o - 5. Let w(v) = l(v) + r(v). Is w(n) prime? True Let u(y) = 2*y**2 - 12*y - 5. Let l(h) = 2*h**2 - 2*h. Let j be l(2). Suppose j*i - 15 - 21 = 0. Is u(i) a composite number? True Let j(g) be the first derivative of -g**2 + g - 2. Let s be j(-3). Let p(u) = 2*u**2 - 6*u - 9. Is p(s) composite? False Suppose 0 = -5*p + 11 + 24. Suppose s + p + 21 = 5*m, 4*m - 29 = 3*s. Let y(l) = -3*l**3 - 4*l**2 - l + 3. Is y(s) prime? False Let o(a) = a + 13. Let l be o(-10). Is 109 + 0 + (l - 6) composite? True Suppose 233 = -4*i + 1045. Is i a prime number? False Suppose -3*s + 1990 = 5*d, 3*d - 1293 = -s - 103. Is d composite? True Suppose 19*h = 18*h + 191. Is h composite? False Suppose 2*i - 10 = 0, -n + 4290 = 4*n + 5*i. Is n prime? True Suppose 2*q - 4*i = -28, 40 = -8*q + 3*q + 4*i. Is (-986)/q - 2/(-4) a prime number? False Let b be 76/18 - (-2)/(-9). Suppose 9*g - b*g = 10. Suppose -522 = -4*l - g*m, l + 6*m - 2*m - 127 = 0. Is l prime? True Let g be 1 + ((-2)/(-2) - -41). Let t be -2 + 1*(g - 2). Suppose c - t = -2*c. Is c prime? True Let i be 2 - ((1 - 4) + -343). Suppose -3*h + i = 3*b, 0 = 3*h + 3*b - 5*b - 333. Is h a composite number? False Let y(u) be the first derivative of 7*u**2 + 5*u + 3. Is y(6) composite? False Suppose -2*o + 5*j + 35 = 0, -2*j - 2*j + 62 = 2*o. Suppose -7 + o = 3*y. Is (4/(-6))/(y/(-873)) composite? False Let c(l) = -l**2 + 8*l + 12. Let h be c(9). Suppose -k + j - 5 + 2 = 0, k - h*j = 3. Is (k/(-4))/(1/14) composite? True Let y(u) be the second derivative of 23*u**5/20 - u**4/12 + u**3/6 - u**2/2 - u. Is y(1) composite? True Suppose -f + 5*f = 8. Suppose 0 = -3*i + f*i + 35. Is i a composite number? True Suppose -145 = -5*d + 10. Is d prime? True Let x(y) = 68*y**3 + 2*y - 1. Let w(i) = -3 + 2*i + 0*i - 3*i. Let j be w(-4). Is x(j) prime? False Let m = 110 + -31. Let t be (-4)/14 - (-8)/28. Suppose 0 = -t*s - s + m. Is s a composite number? False Let v = 927 + -512. Suppose -5*l + v = -10*l. Is (3 + 0 - l) + -3 prime? True Let k(w) = w**3 - 2*w**2 - 4*w - 2. Suppose a - 2 - 3 = 0. Is k(a) composite? False Let m(u) = u - 7. Let j be m(5). Let l be (-5)/j*(-6)/(-5). Suppose 2*z = -4*n + l*z + 383, n + 5*z = 122. Is n a prime number? True Let g = 4 - 7. Let j be 4/(-3) + (-1)/g. Is 2 + 34 + j + 3 a composite number? True Suppose -c - 3*c - 36 = 0. Let g(a) = -a**3 - 8*a**2 + 3*a - 7. Is g(c) a prime number? True Let p(l) = 96*l - 71. Is p(16) prime? False Is 0 - ((-17752)/(-2))/(-4) prime? False Suppose 41 = 3*r - 19. Suppose -3*w - r = -5*w. Is w a composite number? True Let k(l) = l**3 - 4*l**2 + 2*l - 6. Let f be k(4). Suppose -7*d + 144 = -3*d. Suppose 0 = -3*y + f*t + 49, -y = -3*y + 2*t + d. Is y prime? True Let u(n) = -2*n**2 + 10*n. Let w be u(5). Suppose 0*a = -4*a + 3*q + 2, 10 = 4*a + q. Suppose -s = -a*d - w*s + 71, 5*d + 2*s = 164. Is d composite? True Suppose t = 2*a + 12, -5*a - 24 = -2*t + t. Is -1 + (-1 - a) + 315 a prime number? True Suppose -4*u = -31 - 29. Is 6/u - (-173)/5 composite? True Let b = 261 + -131. Suppose 26 + 16 = p + 3*d, 5*p - b = 5*d. Suppose -3*i + p = -i. Is i a composite number? True Suppose 0*z + z = -1. Is (z + 1)/(-2) + 85 composite? True Let q = -693 + 1090. Is q a prime number? True Suppose -2*p + 96 + 218 = 0. Is p a composite number? False Suppose -2*a - a + 374 = u, 0 = 3*u - 5*a - 1052. Is u composite? False Suppose 18 = -0*d + 3*d. Let b be (6/4)/(d/8). Suppose 0 = m + c - 93, 2*c = -b*m - 3*m + 471. Is m a prime number? False Let l be (-1)/(1/(-18)) + 0. Let z be (-4)/8 - l/(-4). Is 12/9*66/z prime? False Let c = 22 + -17. Suppose -4*m + c*m - 409 = 0. Is m prime? True Let f(l) = l**2 - 5*l + 2. Let g be f(5). Suppose 2*t = -g*v + 844 - 256, 4*t - 1467 = -5*v. Is v composite? True Let g be (-36)/8*(-131 - 1). Suppose k - 5*l = g + 139, 733 = k + 2*l. Suppose -5*h - 4*x = -k, -4*h + x + 599 = -0*x. Is h composite? False Is (118/6)/((-4)/(-132)) composite? True Let m = 7511 - 2782. Is m a prime number? True Suppose -5*c = -2*a + 350 + 55, -3*a - 4*c = -619. Is a prime? False Suppose -2 = -2*a + 2. Let h(b) = -3*b - 5 + b**a + 2*b**2 + 0*b. Is h(-5) composite? True Let g = -7 - -11. Suppose -q = g*q - 75. Is q prime? False Suppose 2*u + 2*r = 14 + 18, 4*r - 81 = -5*u. Let p = 112 - u. Is p composite? True Let n(b) = -b**3 - 7*b**2 + 5*b - 11. Is n(-8) a composite number? False Let d(b) = 86*b**2 + 3*b + 4. Is d(3) a composite number? False Let h = 1 - -1. Let x(p) = -h*p + 2*p - p**2 + 1 + 53*p**3. Is x(1) prime? True Is ((-470)/6)/((-64)/12 - -5) a prime number? False Let k = 0 + 3. Suppose -4*j + k = -3*j. Suppose j*t + 9 = -0*t, 0 = 3*a - 3*t - 240. Is a a composite number? True Suppose 5*u = -0*u. Let v = 0 + u. Suppose v*b = -2*b + 14. Is b a prime number? True Let j(b) = b**3 + 6*b**2 + 2*b + 3. Let k be j(-6). Suppose 2*r = -2*r + f + 58, -66 = -4*r - 3*f. Is 2*(-3)/(k/r) composite? True Let a = 5 + -3. Suppose 0 = -a*q - 3*t - 2*t + 49, -32 = -q - t. Is q prime? True Let l = 34 - -9. Is l composite? False Suppose -2*c - 4 = -2*v - 16, -5*c = 3*v - 22. Is (c/(10/(-628)))/(-2) a prime number? True Let x = -371 + 1353. Is x a composite number? True Suppose -4*y = -2*d + 4, -4*y - 4 + 2 = -d. Suppose y*c = -4*c + 60. Is (-4)/10 + 1911/c composite? False Let d be (1/(-3))/(5/15). Is 74/1 + (d - 2) a prime number? True Suppose -2*w = -5*w + 4*n - 31, 4*w - 3*n = -39. Let q = -6 - w. Is q*2/12*106 composite? False Let x be 284/((-3)/((-36)/8)). Suppose -64 = 2*v - x. Is v composite? False Let c = 11 + -8. Let r(l) = 1 + l**2 + 0*l - l - l. Is r(c) prime? False Let h = -53 - -31. Let v be (h/4)/(2/4). Is (21/3)/((-1)/v) prime? False Suppose 3*u - 277 = 212. Is u composite? False Let i = 769 - 502. Is i a prime number? False Suppose -37 = -5*i
{ "pile_set_name": "DM Mathematics" }
+ 0.18. What is l rounded to 5 decimal places? 0.00004 Let f = 0.217757 + 27.784843. Let o = -53 - -25. Let b = o + f. What is b rounded to 3 dps? 0.003 Let w = 28245969 - 83445969. What is w rounded to the nearest one million? -55000000 Let t = -3.15 - -10.29. What is t rounded to 1 dp? 7.1 Let c(a) = a**3 - a**2 - 6*a + 6. Let d be c(3). Suppose 3*w - 1560 = d*w. Round w to the nearest 100. -500 Let z = -4937.7 - -5572. What is z rounded to the nearest ten? 630 Let c = -9615.99991558 - -9616. What is c rounded to six dps? 0.000084 Let y = -69 - -68.99999411. What is y rounded to 6 decimal places? -0.000006 Let m = -8809 - -5809. Suppose 5*b + 4*k = -0*k - 14, 0 = -2*b + 4*k. Let y be (6402 + b)*m/2. Round y to the nearest 1000000. -10000000 Let r = -259542.4 - -260168.39731. Let m = 626 - r. Round m to four decimal places. 0.0027 Let p = -158.9423259 - -15.9422229. Let a = -143 - p. What is a rounded to 5 decimal places? 0.0001 Let x = -278 + 268.26. Let k = x + -0.26. Let h = 10.0000096 + k. What is h rounded to six decimal places? 0.00001 Let w = -4010 - -4009.889984. Let p = -0.11 - w. Round p to 5 decimal places. 0.00002 Let j(r) = -9037*r**2 + 2*r + 3. Let w be j(-2). Let h = -47851 + w. Round h to the nearest 10000. -80000 Let a = 28.069 + -29.41. Round a to 2 dps. -1.34 Let w = 4 - -1. Suppose 3 = -w*t + 13. Suppose t*a = 9656 + 16344. What is a rounded to the nearest one thousand? 13000 Let l(k) = -4*k**2 - 13*k**3 + 4*k - 3 + 6 - 17*k**3. Let b be l(-4). Let w = 1003 - b. Round w to the nearest one hundred. -800 Let d = -2.6 - -1.65. Let v = -2 + 3. Let s = v + d. Round s to 2 dps. 0.05 Let s = 403 - 403.0118. What is s rounded to three dps? -0.012 Let t be ((-5286)/9 + -4)/((-2)/30). Round t to the nearest one hundred. 8900 Let x = 362 - 362.002184. What is x rounded to five decimal places? -0.00218 Let i = 21.8121 + -21.8. Round i to 3 decimal places. 0.012 Let p = 21 - 21. Suppose 0 = -p*h + 4*h - 4*l + 48, -h + 3 = 4*l. Let b(z) = -30617*z**2 + 4*z + 13. Let v be b(h). Round v to the nearest one hundred thousand. -2500000 Let b = -270.5884307 + 270.4642. Let m = b + 0.1243. What is m rounded to 5 dps? 0.00007 Let n be 2/28*2 + 4305000150/(-1050). Round n to the nearest 100000. -4100000 Let v = 21 - 23. Let p be (1889998/6)/((-3)/(-72)). Let w be v/7 + p/(-28). Round w to the nearest one hundred thousand. -300000 Let w = 4834047 + 5556878. Let f = w - 10391013.99949. Let q = f + 89. Round q to four dps. 0.0005 Let s = 8282 + -8278.683. Let b = s + 0.133. What is b rounded to 1 dp? 3.5 Let n = -554 + 553.99998081. Round n to 6 decimal places. -0.000019 Let n(v) = 12*v**2 - 2*v - 1. Let j be n(-1). Let u = j - 9. Let r be (u/((-8)/38))/(-1). Round r to the nearest 10. 20 Let f = 0.0925 + 3.2695. Let r = 3.4 - f. Let p = r + -1.088. What is p rounded to one decimal place? -1.1 Let k(a) = 241*a - 125*a + 319*a - 2 + 12. Let s be k(4). Round s to the nearest 1000. 2000 Let u be (-1032)/16*(-1192)/3. Suppose 0 = -4*l - 5*m - u, 2*l - 4*m + 6457 = -6331. Let g be 2/(-8) - l/8. Round g to the nearest 1000. 1000 Let o = 1.3011 - 0.7084. Round o to 1 dp. 0.6 Let t be (-44)/8 + (-3)/6. Let y(b) = -b**2 - 5*b + 8. Let r be y(t). Suppose r*o + 24600000 = -o. Round o to the nearest one million. -8000000 Let o = -10.4 - 35.6. Let u = o + 46.72. Let m = -0.639 + u. Round m to 2 decimal places. 0.08 Let p = 120 + -121.29. Round p to one decimal place. -1.3 Let i = 42 + -80. Let q = 388 - 349.64. Let n = q + i. Round n to 1 dp. 0.4 Let m = -0.03 + 45.03. Let g = 44.99999868 - m. What is g rounded to seven decimal places? -0.0000013 Let j = -8647 + 8557.51. Let l = -169 - -79. Let w = l - j. What is w rounded to one dp? -0.5 Let v(q) = -8*q - 11. Let h be v(-9). Suppose 0 = 5*n - 286 + h. Let c = n + -119. What is c rounded to the nearest ten? -70 Suppose -297*m + 304*m - 67060 = 0. What is m rounded to the nearest one hundred? 9600 Suppose 2*n - 4*n = 3*n. Let s be (n/1)/3 + (6180005 - 5). Round s to the nearest one million. 6000000 Let x = -42.8865 + -0.0135. Let s = x - -18.2. What is s rounded to the nearest ten? -20 Let c = -7.302 + 3.34. What is c rounded to 0 decimal places? -4 Let k = -125 + 122.23. What is k rounded to 0 decimal places? -3 Let n = 500725 + -500821.0556. Let c = n - -96. Round c to 2 decimal places. -0.06 Let u = 205 + -204.0992. Let m = 1.08 - 0.18. Let l = u - m. Round l to three dps. 0.001 Let f = -9.79 + 10. Let o = f + -38.21. Let b = o + 37.99959. Round b to 4 dps. -0.0004 Let l = 4802 + -2678. Round l to the nearest one thousand. 2000 Let g = -143 + 142.99856. Round g to 3 decimal places. -0.001 Suppose 5*y - 3*y = 5*y. Suppose 24000 = -y*v + 2*v. What is v rounded to the nearest 1000? 12000 Let m = 74.66576 - 89.668. Let r = 15 + m. What is r rounded to four dps? -0.0022 Suppose 2*o + 282810006 = g, -3*o = 21 - 12. What is g rounded to the nearest one million? 283000000 Let y = 104 - 165. Let d = -61.00000086 - y. What is d rounded to 7 decimal places? -0.0000009 Let i = -0.5 + -6.5. Let q = i + 37. Let b = q - 29.99999758. Round b to seven decimal places. 0.0000024 Let y(l) = -l**2 + 2. Let j be y(0). Let s(m) = 2 - 6*m - j*m - 2 - 218*m**2. Let v be s(-6). Round v to the nearest 1000. -8000 Let d be 12/6*(-3)/((-6)/39800). Round d to the nearest one thousand. 40000 Let d = 8.761 + -9.6403. Let a = 137.0193 + d. Let u = 135 - a. Round u to 1 decimal place. -1.1 Let w = 1.950131 - 1.95. What is w rounded to four decimal places? 0.0001 Let q = 49 - 35. Let m = q + -9. Suppose -216 = -m*v - 1226. Round v to the nearest 10. -200 Suppose 0 = 2*l - 2*p - 24181 + 1891, 3*l - 4*p = 33438. Let t = l + -4892. Let d be t/((-867)/(-288) - 3). Round d to the nearest one million. 1000000 Suppose 2*k + 3*d = 8, -5*k = -k - d + 12. Let y(i) be the first derivative of -3667*i**3 - i**2/2 + 2*i + 1. Let a be y(k). Round a to the nearest 10000. -40000 Let o = 1494.00007048 - 1494. Round o to 5 decimal places. 0.00007 Let r be (8/(-16))/((-1)/21878). Suppose -p + c = -8977, 3*p + 4*c - 15992 = r. Suppose 11023 = -b - p. Round b to the nearest 100000. 0 Suppose -15517 - 473 = 26*h. What is h rounded to the nearest ten? -620 Let w(y) = -40123*y - 12. Let g be w(-1). Suppose a = -g - 45889. Round a to the nearest 10000. -90000 Let z = 823954.46 + -823985.4599998. Let w = 31 + z. What is w rounded to 6 dps? 0 Let v = -5.338313 + 60.338893. Let y = v + -55. What is y rounded to four dps? 0.0006 Suppose w - 10 = -4*w. Suppose 5*p + 16 = -3*l, 4*l + 2 = -w*p + 4. Suppose 0 = -l*b - 12, -2*y = -3*y - 4*b - 73. What is y rounded to the nearest 10? -60 Let c = -0.22 - -0.05. Let i = c + 0.169942. Round i to five dps. -0.00006 Suppose 0 = -2*c + 2*d + 3393990, 3554257 - 12039242 = -5*c + 3*d. Round c to the nearest one million. 2000000 Let k = 53342623.034000063 + -53342623. Let a = k + -0.034. Round a to 7 dps. 0.0000001 Suppose -4*o = 4*f, 5*o + 22 - 4 = 4*f. Let y be 28859994/6 + f + -1. What is y rounded to the nearest one hundred thousand? 4800000 Let p = 179.5 + -178.591. What is p rounded to 1 dp? 0.9 Let s = -0.0025 - -0.002349. What is s rounded to five decimal places? -0.00015 Let g = 3432 + -3547.98. Let q = g + 121.98064. Let n = q + -6. Round n to 4 dps. 0.0006 Suppose -8*a = -9*a + 4. Suppose 4*s = 4*j + 1124, a*s - s - 5*j = 845. What is s rounded to the nearest 100? 300 Let c = 20.599999826 - 20.6. Round c to seven decimal places. -0.0000002 Let m = 3.206 - 3.20597533. What is m rounded to 6 dps? 0.000025 Let r = -51831.8247 - -51774.8246986. Let z = r + 57. Round z to 6 dps. -0.000001 Let v = 158 - 159.9. Let q = -0.62 - v. What is q rounded to one dp? 1.3 Let f = -1.8 - -1.800451. Round f to four dps. 0.0005 Let o = -870.438 + 874. What is o rounded to 1 decimal place? 3.6 Suppose 2*l - 1559 = 3*j, 998 = -3*j + 3*l - 562. What is j rounded to the nearest 100? -500 Let m = -617 + 612.09. Round m to the nearest integer. -5 Let g = 68.999615 - 65.5195989. Let h = g - 3.48. Round h to six decimal places. 0.000016 Let g = 29624313 - 41644313. Round g to the nearest one million. -12000000 Let d = 3.22 + 0.88. Let l = d + -3.472. What is l rounded to 1 decimal place? 0.6 Let p = -1036 + 1035.9997916. Round p to 6 dps. -0.000208 L
{ "pile_set_name": "DM Mathematics" }
= 0 for x. -1 Let t be ((-6)/8 + 4/16)*0. Solve t = -2*n + 1 + 1 for n. 1 Let h = -8 - -11. Solve f - h = -0 for f. 3 Let l be 0*4/(-8)*1. Solve -2*n + l*n = 0 for n. 0 Suppose -h = -2*h + 6. Let q be 4/h + (-52)/(-12). Suppose 6*l - l = q. Solve -5*a = 6 - l for a. -1 Suppose 3*q + 7 = 16, 0 = j - 3*q. Suppose -j = i + 3*v, -5*v + 5 = 5*i - 0*v. Let a be ((-4)/i)/(4/(-30)). Solve 0 = -4*n + 15 + a for n. 5 Suppose -4*h = 3*t - 2, -3*h + 0*t - t = -4. Suppose -3 = -q - 4*j, -5*q + h*j + 15 = j. Solve q*o + 7 + 8 = 0 for o. -5 Let k = 10 - 10. Solve k = z + z for z. 0 Let n be 0 - 3/((-12)/224). Let p be (2/4)/(7/n). Solve -p*s + 3*s - 5 = 0 for s. -5 Let t be 1 + (-1 - -3) - -2. Suppose 2*m - 3*q = 3, 0 = m + 3*m + t*q - 39. Let y(s) = -2*s - 1. Let l be y(-2). Solve -x = -l*x - m for x. -3 Suppose -a + 2*u + 25 = 0, -2*u + 10 = 2*a + 2*u. Let h = 4 + -9. Let v = h + 8. Solve a = -2*p - v*p for p. -3 Let a(w) be the third derivative of -w**4/24 - w**3/6 + 3*w**2. Let o be a(-3). Solve 0*q + o*q + 6 = 0 for q. -3 Let y be (-2)/3 + (-4)/(-6). Suppose 0 = -0*u + u - 4. Suppose -3*x + g - 20 = -4*x, u*x + g - 68 = 0. Solve y = -2*p - 2*p - x for p. -4 Suppose 7*s + 0*s = 0. Solve s = -2*w - 0*w - 6 for w. -3 Let q = 59 + -57. Solve -4*z + 10 = q for z. 2 Let j(i) = 6*i + 5*i**3 - 2*i**3 + 9 - 2*i**3 - 2*i**3 + 6*i**2. Let u(r) = 3*r + 1. Let f be u(2). Let q be j(f). Solve -q*y + 5 = 3*y for y. 1 Suppose 0 = k - 4*k. Let g be (-2)/(-10) - 34/(-5). Suppose k*m = -m + g. Solve m*j = 2*j + 25 for j. 5 Let c(w) = w - 2*w - 7*w. Let d be c(-2). Suppose 0 = -0*v - 5*v + 4*o + d, 3*o - 19 = -4*v. Solve 4*g = -v - 0 for g. -1 Let w(z) = -z**2 - 5*z - 1. Let h be w(-6). Let p be (h + -2)*1/(-3). Solve 3*v + 0 = -p for v. -1 Suppose 6*u - 12 = 3*u. Suppose -u*k + 119 = 39. Let m be (-6)/15 - (-64)/10. Solve f - m*f + k = 0 for f. 4 Let a(c) = c + 11. Let d(r) = r**3 + r**2 - 2*r + 4. Let q be d(-3). Let y be a(q). Solve -l + 1 = -y for l. 4 Let l(h) be the third derivative of -h**6/120 + h**5/12 + h**4/24 - h**3/2 - 6*h**2. Let d be l(5). Solve 0 = d*r + 9 - 3 for r. -3 Let u(x) = 4*x + 1. Let w be u(1). Solve -w = -3*o + 10 for o. 5 Suppose -3*u = 5*u - 16. Solve -u*t + t = -3 for t. 3 Let r = 23 - 3. Let m be r*(11/4 + -2). Let a be (-24)/(-14) + (-2)/(-7). Solve -7*c = -a*c - m for c. 3 Let u = 34 - 36. Suppose -3*z + 141 = -39. Let l be u/5 + z/25. Solve l*m = m for m. 0 Suppose -p = 4 - 3. Let k = 0 - -3. Let y = k + p. Solve y*z - 2 - 2 = 0 for z. 2 Let k = 1 - -1. Let x be k*1*(-3)/(-6). Let l = 3 + -1. Solve l*h - h = x for h. 1 Suppose l - 21 - 11 = -3*z, -z - 36 = -2*l. Solve -l = 3*u + u for u. -5 Let v(w) = w**3 - 4*w**2 + 4*w - 3. Let a be v(3). Let q be (-24)/(-10)*(a - -5). Solve 0 = -0*t + 4*t + q for t. -3 Suppose -6*r + 2*r + 30 = -2*z, 4*z = -2*r - 10. Suppose -2*q = 2*q. Let o be (-1 + 2)*10/2. Solve -o + q = -r*l for l. 1 Let b(z) = 6*z**2 + 2*z. Suppose 0*s + 4*s = 8. Let u be b(s). Suppose u = 2*q + 2*q. Solve -2*d = -q*d for d. 0 Let j = 10 - -12. Let m be 8/(-44) - (-290)/j. Solve 4*d + 7 = -m for d. -5 Suppose 6*c = c + 20. Solve -c*k + 0 = -4 for k. 1 Let p = 8 - 3. Let x(k) = 2*k**2 - 5*k - 4. Let u be x(p). Let g be 4/(-14) + 90/u. Solve -2*a = 2*a - g for a. 1 Suppose -3*g + 20 = g. Let b = 6 - 3. Suppose -2*z + 13 = -0*z - b*p, 3*z - 3*p = 15. Solve -z*k = -g*k for k. 0 Let p(n) = -3*n + 20. Let x be p(5). Suppose h + 9 = 3*f - 0*f, -f + 4 = 0. Suppose h*m = -m. Solve 0 = -x*r - m*r - 25 for r. -5 Suppose -2*a - 12 = -2*o, 5*a + 3 = -7. Solve 0*f = f - o for f. 4 Let c(f) = f**2 + 2*f - 2. Let w be c(-5). Let k be -1 - (-2 - (-2 - -2)). Solve -k + w = 3*t for t. 4 Let v = 0 - -3. Suppose -8 = -v*u - 2. Solve -r + 9 = u*r for r. 3 Let o be 6*(-3 - 33/(-9)). Suppose 0 = l - o + 3. Suppose v = -2*r + 6, 2*v + l = -3*r - 2*v. Solve -r*x - 8 = -28 for x. 4 Suppose l = 5*g - 105, 2*g - 6*g + 83 = -l. Suppose -5*m - 22 = t, 3 = -5*m - g. Solve 6 = t*p - 6*p for p. -2 Let j be 8 + (3 - 2)/1. Solve -2*u + 5*u = j for u. 3 Let d be -1*1/(-3)*-3. Let y be 4/(8/6) - d. Suppose -v = -y*v. Solve -3*s - 2*s + 25 = v for s. 5 Suppose -5*y = 4 + 6. Let g = y + 0. Let w be 2 + 0 + g - -10. Solve 4*z - 2*z + w = 0 for z. -5 Suppose 68 = 4*o - 3*q, 2*q - 14 + 6 = 0. Let n be ((-8)/(-10))/(8/o). Solve -n*m - 1 = -3*m for m. 1 Let x be (-5)/(-2)*-1*-10. Suppose 2*h - 25 = -m, 0*m + m - x = -3*h. Solve 0 = -4*v + 5 - m for v. -5 Suppose 5*g - 4*t = 59, -3*t = -0*g - 3*g + 33. Suppose -4*q + 2*p + 6 = 0, -4*q - 5*p + 26 = -g. Solve -q = 5*j - 24 for j. 4 Suppose 0 = 3*w - h + 8 - 0, -2*w - h = -3. Let q be 6 + w*(-4)/(-2). Suppose q*g - 2*d - 28 = 3*d, g + 2*d = -6. Solve 5*n = 7*n - g for n. 1 Let t = -18 - -20. Solve t*h + 3 = 1 for h. -1 Suppose -f + 4*h - 6 = 0, 2*f - 2*h = -0*h. Solve -f*b - 3 = b for b. -1 Let w = -35 + 53. Solve -4*u + 2 + w = 0 for u. 5 Let u(y) = -2*y**3 + 7*y**2 + 3. Let r be u(3). Solve 2*m - r = -m for m. 4 Suppose 0 = 5*j - 5. Let h be (6/4 + -1)*2. Suppose -3 = -4*i + 2*l - h, l + j = 3*i. Solve i = 3*y + 1 - 10 for y. 3 Suppose -5*d - l = -15, 5*d + 4*l = 2*d - 8. Let f be (-41)/(-3) + d/(-6). Solve 0 = -4*k - 1 + f for k. 3 Let f be 116/28 - (-1)/(-7). Solve -5*h - 4 = -f*h for h. -4 Let i be 6 + ((-21)/3 - -4). Solve i*p - 2*p = -3 for p. -3 Suppose -m = 3*r - 37, 6*m - m - 41 = -3*r. Suppose 5*g + 3*t = 2*t + 8, 5*g - r = t. Solve -g*b + 25 = 3*b for b. 5 Suppose 4*m = 2*v + 40, v + 5*m + 2 = 17. Let j = -10 - v. Solve f = -3 - j for f. -3 Suppose 3*s - 34 = s. Let l = s + -12. Solve -l*d + 8 = 3 for d. 1 Suppose 3*p - 7 + 1 = 0. Solve p = -a - 1 for a. -3 Let y(n) = -2*n**2 + 2*n - 1. Let q be y(1). Let c be 2 + q + 0 - -9. Solve 4*t - c = -t for t. 2 Let a = -21 + 21. Solve d = -a*d for d. 0 Let l = -11 - -5. Let o be l/(-3*4/8). Solve 7*q = o*q + 3 for q. 1 Let w = -4 + 9. Solve -y = -w*y - 4 for y. -1 Suppose -432 = -5*p + 743. Suppose p = 5*x - 4*n - n, -3 = -3*n. Suppose -x = -4*i - 2*m, 2*i + 2*i - 2*m = 56. Solve 3*h - i + 1 = 0 for h. 4 Let s(g) = g**2 + 10*g + 7. Suppose -5*a + 2*k - 37 = 0, 4*a = -2*k + k - 40. Let r be s(a). Let b be 45/6*r/(-3). Solve -b*c = -14 + 4 for c. 2 Suppose 5*n = n + 40. Let w be (-10)/90 + (-138)/(-27). Solve -3*d = -w*d + n for d. 5 Let o(u) = -u**3 - 2*u**2 + 5*u + 3. Let t be o(-4). Solve 2*d - t = -d for d. 5 Let x = 63 - 38. Suppose 2*u - u + 18 = 0. Let v = u + x. Solve -2*r - v = -1 for r. -3 Let s = 15 + -13. Let f = s - -3. Solve f*h = 3*h for h. 0 Suppose -q = -2*q. Solve 2*w + 10 - 2 = q for w. -4 Suppose -4*d + b - 51 = 0, -3*d + 5*b = 10 + 7. Let i(s) = s**3 + 13*s**2 - 16*s - 21. Let p be i(d). Let a be (-4)/(-6) - (-32)/6. Solve p*f = 4*f - a for f. -2 Let z be (0 + 0/(-1) - 0)/1. Solve 4*k + 0 + 20 = z for k. -5 Suppose 2*a = 6, -2*w - 27 = -6*w - a. Solve 0 = -y + w*y for y. 0 Let f = -2 + 3. Let z(p) = -3*p**3. Let h be z(-1). Suppose 0*t + 4*t = 0. Solve -h*r + 4 - f = t for r. 1 Let l(s) = -s**3 + 2*s - 1. Let c be l(-2). Solve -15 = -c*x - 2*x for x. 3 Let y(m) be the first derivative of -1/2*m**2 + 12*m + 4. Let v be y(5). Solve -5*c - v = 13 for c. -4 Let c = 6 - 4. Let i be (-1 - (0 + -1))/2. Let n be 2 - c/6*i. Solve 6 = -u - n*u for u. -2 Let x be (-2)/(-8) + 14/8. Solve -x*k + 3 = -k for k. 3 Let v(i) = -i + 16. Let y be v(0). Suppose 0 = 5*z - 19 - y. Suppose -2*x + z*x = 0. Solve x*o = o + 2 for o. -2 Suppose 10 = -0*l + 5*l. Let k(h) = h**3 - h**2 - h. Let c be k(l). Let z = 7 - 3. Solve c*x - 4 = z*x for x. -2 Let m(b) = -b + 10. Let p be m(10). Solve p*v = -3*v + 12 for v. 4 Let v = -11 - -18. Let q = v - 6. Solve -q = -4*z - 5 for z. -1 Let h be 3 + (-2)/(-2)*1. Let y(o) = 2*o + 2 - 4 - 2. Let r be y(h). Solve -k + r*k = -6 for k. -2 Let g(p) = -p**3 - 2*p**2 - 2*p - 2. Let r = 3 + -5. Let n be g(r). Solve n*h - 4 = 3*h for h. -4 Let z(x) = x**3 + 6*x**2 + 3*x - 6. Let h be z(-6). Let b = 29 + h. Solve 0 = b*r - 12 - 8 for r. 4 Let f(w) = 2*w**2 - 4*w + 3. Let u be f(2). Solve u = -2*s - 1 for s. -2 Let g be 12*-4*1/(-12). Suppose -g*h - x = -3, -5*h - 5*x - 6 = 9. Suppose -c + 2 = -2. Solve v + c - h = 0 for v. -2 Suppose 2*w + 2 + 2 = o, 0 = o + 4*w - 4. Solve 12 = o*b + 32 for b. -5 Let a(f) = -f - 7. Let k be a(-7). Suppose -3*z + 7 +
{ "pile_set_name": "DM Mathematics" }
ters picked without replacement from {a: 5, b: 2, i: 2, r: 1, o: 1, s: 2}. Give prob of picking 2 b, 1 i, and 1 a. 2/143 Four letters picked without replacement from zetmtetteettzhtetet. What is prob of picking 3 t and 1 h? 7/323 Four letters picked without replacement from ffbifibibfifiiiiiib. Give prob of picking 4 i. 35/646 Three letters picked without replacement from {v: 4}. Give prob of picking 3 v. 1 What is prob of picking 1 g and 1 o when two letters picked without replacement from {m: 3, w: 5, b: 3, g: 4, o: 3}? 4/51 Two letters picked without replacement from xxxxkkxxxx. What is prob of picking 2 x? 28/45 Calculate prob of picking 1 v and 2 z when three letters picked without replacement from vvvvvzvvvvvvvvvvvzvv. 3/190 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uuuuutuutuuu. 10/33 What is prob of picking 3 k when three letters picked without replacement from kkkkkk? 1 Four letters picked without replacement from {a: 1, f: 2, k: 2, q: 3, m: 3, h: 1}. Give prob of picking 1 h, 1 q, and 2 k. 1/165 Three letters picked without replacement from {i: 2, q: 3, o: 3, u: 3, b: 3, w: 1}. What is prob of picking 3 b? 1/455 Calculate prob of picking 1 y and 1 f when two letters picked without replacement from nynvfyb. 2/21 Four letters picked without replacement from nnnndnnn. Give prob of picking 4 n. 1/2 Three letters picked without replacement from {s: 14, l: 1, t: 5}. Give prob of picking 1 l and 2 t. 1/114 Two letters picked without replacement from xbqqwqu. Give prob of picking 1 b and 1 w. 1/21 Four letters picked without replacement from {w: 4, q: 5, i: 5}. Give prob of picking 1 w and 3 i. 40/1001 Two letters picked without replacement from frfnrbqe. What is prob of picking 1 f and 1 e? 1/14 Two letters picked without replacement from {s: 2, n: 8}. Give prob of picking 1 n and 1 s. 16/45 What is prob of picking 1 c and 1 a when two letters picked without replacement from {c: 13, a: 3, u: 2}? 13/51 What is prob of picking 1 y, 1 q, and 1 w when three letters picked without replacement from eyyywjywyq? 1/12 What is prob of picking 2 v and 1 f when three letters picked without replacement from {v: 8, m: 4, c: 4, f: 4}? 28/285 What is prob of picking 1 i and 2 b when three letters picked without replacement from {i: 3, c: 1, g: 2, b: 2, q: 2, m: 2}? 3/220 Two letters picked without replacement from {t: 1, c: 1, q: 2, w: 2}. Give prob of picking 1 w and 1 t. 2/15 What is prob of picking 3 n when three letters picked without replacement from nnmny? 1/10 Three letters picked without replacement from {o: 2, n: 8, h: 3, s: 2, f: 5}. Give prob of picking 1 n and 2 h. 2/95 Two letters picked without replacement from ppmmjjpppjpjppppmp. What is prob of picking 1 m and 1 p? 11/51 Calculate prob of picking 2 c and 1 n when three letters picked without replacement from ncnc. 1/2 Calculate prob of picking 2 r and 2 z when four letters picked without replacement from {z: 3, i: 1, b: 2, j: 6, r: 3}. 3/455 What is prob of picking 3 n when three letters picked without replacement from {n: 7, y: 3}? 7/24 Two letters picked without replacement from {k: 1, o: 1, h: 3}. Give prob of picking 1 k and 1 h. 3/10 Calculate prob of picking 2 b and 2 s when four letters picked without replacement from sssssssbssssssssssbs. 3/95 Two letters picked without replacement from ljcdjjcdcdjjjd. What is prob of picking 1 l and 1 j? 6/91 Three letters picked without replacement from {e: 1, j: 1, f: 1, h: 1, d: 1}. What is prob of picking 1 d, 1 j, and 1 h? 1/10 Three letters picked without replacement from jojjjjjjjjjjj. Give prob of picking 3 j. 10/13 Four letters picked without replacement from mlmmmlmmllmmlmll. What is prob of picking 2 l and 2 m? 27/65 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {b: 4, v: 2, q: 1, f: 2, m: 1}. 4/45 Four letters picked without replacement from {s: 2, v: 4, x: 4, n: 1, u: 3, k: 1}. Give prob of picking 1 s and 3 x. 8/1365 Calculate prob of picking 2 s when two letters picked without replacement from fcfccssfcfoosff. 1/35 Four letters picked without replacement from {n: 6, q: 2, a: 1, l: 2, e: 4}. Give prob of picking 1 q, 1 e, and 2 n. 8/91 Calculate prob of picking 1 v, 1 b, and 2 h when four letters picked without replacement from {e: 1, h: 2, k: 1, v: 2, b: 1}. 2/35 Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {x: 1, n: 3}. 3/4 Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {s: 7, m: 3, o: 3, d: 1}. 3/52 Calculate prob of picking 1 v, 1 n, and 1 u when three letters picked without replacement from {v: 2, g: 2, n: 1, u: 1, h: 1}. 2/35 Two letters picked without replacement from qmmqiialqm. Give prob of picking 2 i. 1/45 Four letters picked without replacement from {e: 7, j: 4}. Give prob of picking 4 j. 1/330 Four letters picked without replacement from aiiiiiiaaiiiiii. Give prob of picking 1 i and 3 a. 4/455 Two letters picked without replacement from wyyyfyyyyyyyy. Give prob of picking 2 y. 55/78 What is prob of picking 1 d, 1 j, and 2 g when four letters picked without replacement from {c: 4, e: 3, p: 2, d: 3, j: 2, g: 2}? 3/910 Two letters picked without replacement from {p: 1, s: 1, l: 3}. Give prob of picking 1 s and 1 p. 1/10 Four letters picked without replacement from vcvuvkkkkkupkhhhhv. Give prob of picking 1 c, 1 u, 1 v, and 1 h. 8/765 Calculate prob of picking 1 c and 2 n when three letters picked without replacement from pcpnn. 1/10 Two letters picked without replacement from rrrllrrrrrrlrrrlllr. Give prob of picking 1 r and 1 l. 26/57 Two letters picked without replacement from {l: 2, f: 4, c: 2, q: 1}. What is prob of picking 2 l? 1/36 Calculate prob of picking 2 v, 1 z, and 1 c when four letters picked without replacement from {c: 4, z: 5, o: 2, v: 2, l: 7}. 4/969 Three letters picked without replacement from {f: 10, y: 8, u: 1}. What is prob of picking 3 y? 56/969 Calculate prob of picking 4 p when four letters picked without replacement from pppppnppppppppppnpp. 35/57 Four letters picked without replacement from {z: 13, d: 5, t: 2}. What is prob of picking 2 d and 2 t? 2/969 Two letters picked without replacement from pxxoe. Give prob of picking 2 x. 1/10 Three letters picked without replacement from zbhhvfnnzznbb. Give prob of picking 1 f and 2 z. 3/286 Two letters picked without replacement from {f: 6, a: 6, w: 7}. Give prob of picking 2 w. 7/57 Four letters picked without replacement from {v: 3, i: 5, e: 7, x: 2}. What is prob of picking 3 i and 1 e? 1/34 What is prob of picking 4 p when four letters picked without replacement from zzzpppzz? 0 Two letters picked without replacement from mwmwmwwwhnnnnwmmhww. Give prob of picking 2 n. 2/57 Three letters picked without replacement from ebszxxzzeznnbxxnxns. What is prob of picking 1 z and 2 e? 4/969 Calculate prob of picking 1 b and 1 n when two letters picked without replacement from qbnybyyyyqybyqyybnyb. 1/19 Calculate prob of picking 2 e when two letters picked without replacement from mmemmmmem. 1/36 Two letters picked without replacement from {t: 2, y: 16}. What is prob of picking 2 y? 40/51 What is prob of picking 2 i when two letters picked without replacement from cigiccccaciciicg? 1/12 What is prob of picking 2 e when two letters picked without replacement from {a: 7, e: 2, x: 1}? 1/45 Two letters picked without replacement from {e: 2, w: 12, x: 5}. Give prob of picking 1 e and 1 w. 8/57 What is prob of picking 3 z when three letters picked without replacement from mdmdzdmzzdzd? 1/55 Two letters picked without replacement from {i: 3, q: 6, e: 2, l: 4, u: 1}. What is prob of picking 1 u and 1 q? 1/20 Calculate prob of picking 1 c, 1 k, 1 x, and 1 p when four letters picked without replacement from cxcphkxocopc. 16/495 What is prob of picking 1 q, 1 o, and 1 e when three letters picked without replacement from {r: 1, e: 1, c: 1, q: 1, o: 1}? 1/10 Calculate prob of picking 1 c and 1 e when two letters picked without replacement from eeeeeceeeeeceeeeee. 32/153 Three letters picked without replacement from {a: 5, t: 3}. Give prob of picking 1 a and 2 t. 15/56 Three letters picked without repla
{ "pile_set_name": "DM Mathematics" }