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Suppose 709*g + 24622 = 711*g. Suppose 0 = 4*h + 2*j - 49208, 116*j - 111*j = -h + g. Is h a prime number? True Let i = 249064 + 26277. Is i prime? False Let d = -13 + 17. Suppose n = 2, 3*g - 13 = 3*n - d. Suppose -p - 4*p - 3*w + 1099 = 0, -g*p + w = -1107. Is p a prime number? False Let a(y) = y**3 + 5*y**2 + 6*y + 7. Let x be a(-4). Is (18 + -11)/(x/(-853)) a prime number? False Let t(p) = -p**3 - 5*p**2 - 12*p - 8. Let s be t(-4). Is -1*((-17164)/16 - 6/s) a prime number? False Suppose -5*r + r = 4*j - 44, -5*j + 4*r + 55 = 0. Suppose 10645 - 1416 = j*p. Is p composite? False Let r(g) = 1086*g + 20. Let h be r(8). Suppose 9*f = h + 35725. Is f a prime number? True Let q = 9445 - 3672. Is q a composite number? True Suppose 5*b - 97262 = -4*p, 2*p - 21*b - 48616 = -16*b. Is p a composite number? True Suppose 4*n = 3*j - 281115, -j - n + 90353 = -3345. Is j prime? True Suppose -2322174 = -5*d + q - 393744, -d + 2*q + 385695 = 0. Is d prime? False Let y(d) = d + 9. Let r be y(-8). Let j be (r - 4/4) + 3. Suppose -j*s = -5*c - s + 2907, 0 = -4*c + 5*s + 2329. Is c prime? False Let j = -64773 + 109680. Is j a prime number? False Let a = -10319 + 15143. Suppose 2*n = 2, 4*o + 4*n = 10808 + a. Is o a prime number? True Is 44 + (-9200)/207 - 2/(36/(-3014594)) a composite number? True Let m(p) = 12039*p**2 - 24*p + 231. Is m(6) prime? False Let u(h) = -2*h**3 - 9*h**2 - 41*h - 13. Let t(s) = -3*s**3 - 8*s**2 - 43*s - 14. Let k(m) = -4*t(m) + 5*u(m). Is k(16) composite? False Let d = 5556 + 5499. Suppose -v - 3*j + 1463 + 2214 = 0, 3*j + d = 3*v. Is v a composite number? True Let j = 6742 + -4513. Is j a composite number? True Let o(d) = d**3 + 3*d - 2. Let h be o(1). Is ((-3)/h)/((-42)/482860) a composite number? True Let x(p) = 168*p**3 + 5*p**2 - 2*p - 2. Let l be x(3). Suppose 0 = -2*i + 16 - 8. Suppose -7293 = -3*s + i*y, -y = -2*s + 294 + l. Is s composite? True Let u be 64 + -61 + 0/((-4)/2). Is u - -1 - -171*(-265)/(-5) a composite number? False Let i(w) = 14212*w + 241. Is i(19) a composite number? False Let x(j) = -19946*j - 1531. Is x(-39) prime? False Suppose p = -3*g - 169, -7*g + 157 = -10*g + 2*p. Is (17496/(-10))/(-3) - (-11)/g prime? False Let s(o) = o**2 + 9*o + 15. Let v be s(-2). Is v/((2/9932)/((-9)/(-18))) prime? False Let i(o) = 34763*o + 50. Is i(1) a composite number? True Let v(h) = -30340*h - 161. Is v(-1) prime? False Let h = -38 - -43. Let f = -180 + h. Is (f + -5 + 1)*-5 composite? True Let u = 78 - 82. Let d be (-5 + u)*(-2)/2. Suppose -w = d*w - 19090. Is w a composite number? True Is (29/(-29))/(4/(-257932)) composite? False Is (4/(-14))/(6/(-128907)) - 1256/(-2198) a composite number? True Let v be (8 - (-17 - 0))*1*7. Let i = 30 + v. Is i a prime number? False Suppose 15*o + 3056509 = 47*o + 9*o. Is o a composite number? True Suppose -95*h + 48609291 - 12269986 = 0. Is h prime? True Let g = -346 - -383. Suppose 0 = -0*x - x + i + 2, -2*x + 4*i + 8 = 0. Let k = x + g. Is k a prime number? True Suppose h + 8 = 17. Suppose h*l + 15 = 14*l. Suppose 5*a - 1309 = -4*n, 912 = 2*n + l*a + 255. Is n prime? False Let n(b) = -2*b**3 + 6*b**2 + 4. Suppose 4*i + 18 = 10*i. Let g be n(i). Is (1 - (g - 0)) + 781 a composite number? True Let p = -332651 + 3301138. Is p composite? False Let m(d) = 126*d**2 + 82*d - 121. Is m(-25) a composite number? False Suppose 2*y - 11 = 5*s, -5*s = 2*y + 3*y + 25. Let u(a) = -311*a**3 - 10*a - 19. Let t be u(s). Let i = -3987 + t. Is i a composite number? False Let r be (4510/15)/(8/12 + 0). Suppose -r - 7264 = -5*i. Is i prime? True Suppose 1730 = -y - 4*y. Let i be -5*(-16)/(-100) - 5798/(-10). Let c = i + y. Is c a prime number? True Is (704/198)/(2/100461) + 8/(-24) prime? True Let i(y) be the first derivative of -y**3/6 + 11*y**2/2 - 9*y + 23. Let r(q) be the first derivative of i(q). Is r(-11) prime? False Let a(g) = -51 - 94 + 107 + 18565*g. Is a(1) a composite number? True Let m(z) = 2*z**3 + 15*z**2 + 16*z + 14. Suppose 5*u + 34 = 3*r + 10, r - u = 10. Is m(r) prime? True Is (14 + 725339/85)/((-8)/(-40)) prime? True Suppose -350270 = -90*m + 1375120. Is m a composite number? True Let n = -31867 + 65073. Is n prime? False Is (-253 - -255)*(-87911)/(-2) composite? False Let k(o) = 51*o**2 - 2*o - 5. Let g be k(-3). Suppose 4*w - 4*h - g = 0, 0 = -2*w + 3*h + 2*h + 215. Suppose -j = -w - 67. Is j prime? False Let h(b) = -b**3 + 6*b**2 - 8*b + 16. Let k be h(5). Let c be (675 + 1)/(k + 0/(-5)). Suppose 55 - c = -9*p. Is p composite? True Let z = 6865 - 4818. Is 6 + (z - 4) - 4 a prime number? False Suppose 2*w = 2*o + 1519758, -153738 = 2*w - 3*o - 1673494. Is w prime? True Let x = -2507988 - -4033547. Is x a prime number? False Suppose 0 = j + u - 6*u + 31, u - 5 = 0. Let o be 632/1 - (-4 - j). Let l = o - 299. Is l composite? False Suppose 3*d + 24 = 33. Suppose 42 = -4*m + 3*z, -3*z + 3 = -d. Is (14/4)/(m/(-126)) prime? False Let b be 0 + (-2)/7 - (-1456)/(-392). Let w(l) = 751*l**2 + 14*l + 29. Is w(b) prime? False Suppose -3*z + 6 + 3 = 0. Suppose -3*f + 0*f = 2*l + 455, -3*f + 4*l = 431. Is 4*(f/(-4) + (5 - z)) a composite number? False Suppose 0 = 27*n - 50961 - 48480. Suppose -2*g + n - 93 = -4*b, -3*b = 5*g - 8962. Is g composite? True Let k = 385 + -381. Suppose 397 = 4*y - 4*b - 1067, 2*y - 762 = -k*b. Is y a prime number? False Let w be (0*(-4)/(-20))/(-1). Suppose w = -7*o + 2*o + 25. Suppose o*m - 251 = 3*m - 3*u, m = u + 128. Is m a prime number? True Let n(j) be the third derivative of 13/24*j**4 - 4/15*j**5 + 0 + 0*j + 13/6*j**3 - 1/120*j**6 - 6*j**2. Is n(-21) prime? False Is (244/(-1220))/((-1)/1529995) prime? True Let b be (-3)/6 + (-18)/(-4). Let s(z) = 97*z**2 - 5*z - 8. Let h be s(-6). Suppose 4*m = -f - f + h, m - b*f - 865 = 0. Is m a prime number? True Is ((-20)/(-40))/((-7386755)/1846690 - -4) prime? True Let k be (3 + -9)*1 - (6 - 6). Let p(q) = -1773*q - 211. Is p(k) a prime number? True Let z = -1234 + 2197. Let l be (-1 - 1)*(z - 5)*-2. Suppose 5*y - 19080 = -3*x + l, 2*y + 4*x = 9162. Is y a composite number? False Let i(b) = 219*b**2 + 5*b + 5. Let z(m) = 877*m**2 + 21*m + 21. Let t(r) = -9*i(r) + 2*z(r). Let p be t(-1). Let j = p + 404. Is j a prime number? False Is 110 - (14 + -25 + 6) a prime number? False Let i(z) = 2*z**2 - 23*z - 23. Let n be i(13). Suppose -3*p - 17 = -s, 2*s + 4*p = -n - 0. Suppose -4*h - s*x + 4942 = 0, -x = -3*h - 0*x + 3699. Is h prime? False Let t = -14406 - -23503. Suppose k - 1 = 1, -5*l + 62 = k. Suppose -1729 + t = l*r. Is r a prime number? False Let x(j) = 9*j**2 - j + 12. Let a be x(0). Suppose 13*o - a*o = 25391. Is o a prime number? True Is ((-1327324)/(-688))/(1/188) a prime number? False Let w(g) = 9*g**2 + 6*g - 11. Let u be w(-11). Suppose -9*l = -11*l + u. Suppose 3*p - 100 = l. Is p a prime number? False Suppose 48 = 5*l - 52. Is (l/50)/((-2)/(-9155)) composite? False Is (-78858)/(-52)*(-5230)/(-45) a prime number? False Suppose 185202 = 13*d - 386993. Is d a prime number? False Suppose -13*h - 5*k + 1115569 = -7*h, -2*k + 557785 = 3*h. Is h a prime number? False Let i = -243569 + 568458. Is i prime? True Suppose 15*v + 1920 = 212175. Is v prime? False Suppose 0 = s + 82*f - 81*f - 111320, 12 = 4*f. Is s a composite number? False Let y = -10092 + 84913. Is y a composite number? False Suppose 412 = -w - 4*a, a = 4*w + 4*a + 1674. Let y = w - -1533. Suppose -2*i + y = i. Is i prime? False Let b be (1 - 0)*-5*4/(-10). Is 33306/7 - b/((-8)/4) a prime number? True Let w = 240 - 237. Suppose -2*z = 2*j - 3030, -5*z + 3*z + 3010 = -w*j. Is z a composite number? False Let l(h) = 11*h**2 - 735*h - 195. Is l(-67) a composite number? False Let y(r) = 6*r + 38. Let t be y(-11). Let l be (-1 - (-15)/(-12))/((-7)/t). Let b(q) = 17*q**2 + 2*q - 13. Is b(l) a prime number? False Let f be (105/20)/(1/(4/3)). Is (3395 - (2 - f)) + 7 composite? False Let n(m) be the third derivative of -m**6/5 - m**5/20 + 17*m**4/24 - m**3/6 + 2*m**2 - 19*m. Is n(-5) composite? True Let w(y) = 83*y + 305. Let a be w(25). Suppose -7*g = -9471 - a. Is g prime? True Is (1682396/28)/(2/4 - 205/574) a composite number? False Let p(x) = 5*x**3 + 3*x**2 - 7*x + 3. Let v be p(3). Suppose -v + 12 = -2*k. Let c = k + -40. Is c prime? False Let c = -54834
{ "pile_set_name": "DM Mathematics" }
g, -2 in ascending order. g, -2, 4 Let v = 46 + -158. Let z = v - -113. Put -0.1, z, -24/11 in decreasing order. z, -0.1, -24/11 Suppose -5*r = -3*s + 14, -s - 22 = 7*r - 2*r. Suppose 4 - 6 = -2*a. Suppose -4*q + 2*b = -2, -4*q - 5*b = -b + 4. Sort q, s, a in decreasing order. a, q, s Let k(m) = -18*m + 34. Let y be k(2). Put y, 11, 6 in increasing order. y, 6, 11 Let y = -23/6 - -10/3. Let a(k) = -k - 1. Let g be a(0). Sort -2/15, y, g in descending order. -2/15, y, g Let v = -0.2239 - -0.1239. Sort 1, -4.7, v in descending order. 1, v, -4.7 Let v(u) = -289*u - 285. Let f be v(-1). Let p(m) = m - 1. Let o be p(-4). Put 0, f, 3/5, o in increasing order. o, 0, 3/5, f Let a = -38.99 + 39. Let w = -0.052 - -0.252. Put a, w, 2 in decreasing order. 2, w, a Let r be (2/6)/(2/6). Let j = 273 + -278. Sort 3, j, r. j, r, 3 Let g be (-6 - 217/(-42))/((-50)/45). Put -0.36, -1/2, g, 2/13 in ascending order. -1/2, -0.36, 2/13, g Let q = 454.3 - 458. Sort -4/3, -1/3, -1, q in increasing order. q, -4/3, -1, -1/3 Let z = 20 + -20. Suppose 5*l - 3*x + x = 35, z = 4*l - 4*x - 40. Sort 3, l, 7. 3, l, 7 Let l = -593/10689 + 4/509. Put -3/7, l, -5 in decreasing order. l, -3/7, -5 Let d = 27.957 + 0.043. Put -1/6, 5, d in decreasing order. d, 5, -1/6 Let z(x) = 23*x**2 - 115*x - 5. Let r be z(5). Sort r, -1, 4 in decreasing order. 4, -1, r Let l(i) = i**3 + 4*i**2 - 15*i - 47. Let x be l(-5). Sort 99, 0, x. 0, x, 99 Let g = -5.5 - -3. Let b = g + 2. Let m = -0.9107 - 1.0893. Sort -4, b, m in descending order. b, m, -4 Let p be -6*2/(-21)*(-6 + 13). Sort p, 2/9, -0.02 in ascending order. -0.02, 2/9, p Let r = -4.6 - -5.5. Put 0.5, -0.1, r, 1 in ascending order. -0.1, 0.5, r, 1 Suppose v = -2*i + 6, 22*v - 26*v - 2*i = -12. Put 12, v, -1 in decreasing order. 12, v, -1 Suppose 9*m - 4 = 11*m. Let x = -0.06 + -0.14. Sort x, -0.24, m in decreasing order. x, -0.24, m Let a = -1.9 + -0.1. Let y(d) = 2*d**2 - d - 1. Let s be y(-1). Let z = 2051 - 2051.2. Put a, z, s in descending order. s, z, a Suppose -d = -4*j + 10 + 7, j = 3*d + 7. Put -5, j, -8 in ascending order. -8, -5, j Let w(i) = i**2 - 23*i - 128. Let b be w(-5). Sort -2, b, -5 in decreasing order. b, -2, -5 Let j = 0.1 - 0.01. Let s = 0.91 + j. Let x = s - 1.4. Sort 0.3, 0, x in descending order. 0.3, 0, x Let s = -1289 + 1293. Put 1/3, -3/38, 0.2, s in descending order. s, 1/3, 0.2, -3/38 Let s be (468/1053)/(1*14/(-12)). Put 2, 3/2, s in descending order. 2, 3/2, s Suppose -35 + 20 = -3*h. Sort -30, -5, h, 0 in increasing order. -30, -5, 0, h Let v be (7/(-3))/((-6)/(-18)). Let z = -4 - v. Let n be (z - (0 - 0)) + -8. Sort -2, 1, n in descending order. 1, -2, n Suppose 3*b - 8 = 2*s + 3, 5 = 2*b + s. Put 0.16, -5, b, -1 in descending order. b, 0.16, -1, -5 Suppose -3 = 9*j - 6*j. Let f(k) = -6*k + 2. Let w be f(j). Suppose w*g = 10*g - 8. Sort -3, g, 1 in increasing order. -3, 1, g Let h = 0.521 - 1.521. Put h, 422, 0.2, -2 in increasing order. -2, h, 0.2, 422 Let r be -6 + (-39)/26*(-2)/3. Put 11, r, 5 in increasing order. r, 5, 11 Let q = -13 - -14.2. Let i = -216.2 + 213. Let s = i + q. Sort -3, s, -3/5. -3, s, -3/5 Let j = -43.96 + 45. Let o = 1.9 - j. Let b = o + -0.06. Sort -1/2, 0.2, b. -1/2, 0.2, b Let n be (1 + 215/(-15))*18/(-12). Sort 0, -1, 2, n. -1, 0, 2, n Let t = -1528 + 1528.4. Suppose -22 = 5*n + 8. Let o be 1*2/(32/n). Put o, 4/9, t in ascending order. o, t, 4/9 Let f = 0.164 + -0.154. Put -0.4, 4, f, -1 in increasing order. -1, -0.4, f, 4 Let m be 12/9*18/132. Let w = 20 - 19. Let b = 0 + 0.1. Sort w, m, b in increasing order. b, m, w Suppose r = -3*u, 5 = -r + 2*u + 15. Suppose 2*m - 4*m = -r. Let f be 8/(-36) + 0 - (-52)/(-9). Put 1, m, f in ascending order. f, 1, m Suppose 129*i = 23*i + 212. Let p = 5 + -2. Put p, i, -3 in ascending order. -3, i, p Let r(d) = -d**2 - 7*d - 2. Let x be r(-7). Let m = 201 - 205. Sort x, m, 2 in decreasing order. 2, x, m Let v be 27/(-33) - (11 + -4)/(-7). Sort 14, v, 0.3, 4 in decreasing order. 14, 4, 0.3, v Let y(d) = -d**3 - 7*d**2 - 12*d - 6. Let s be y(-5). Put 5, s, 129 in increasing order. s, 5, 129 Let s = -766.168 - -761. Let k = s + 0.308. Let m = -0.14 + k. Put -2, m, -1 in increasing order. m, -2, -1 Let q = -769/5 + 153. Let t = 2.1 + -3. Sort t, -2, q in decreasing order. q, t, -2 Let d = 328/3 + -110. Suppose -4*t = -0*k - 5*k + 72, 3*k - 52 = -2*t. Let n = -178/11 + k. Put -2, n, d in decreasing order. n, d, -2 Let f = -85.6 - -85.2. Sort 148, 0, f. f, 0, 148 Let t = -4.49 - -4.2. Let z = 1.29 + t. Sort z, -0.2, -2/9 in decreasing order. z, -0.2, -2/9 Let o = 76.045 - 0.045. Let c = o - 72. Sort 2/7, -0.3, c, -3/4. -3/4, -0.3, 2/7, c Suppose 3*b - 7*b - 12 = 0. Let n = -6 + 11. Let r = n - 6. Sort b, -4, r. -4, b, r Suppose 1870*d - 220 = 1880*d. Sort d, 6, -1, -5 in ascending order. d, -5, -1, 6 Let v = -51 - -50.58. Let k = v + 0.02. Let x = k - -0.2. Put x, -3, -2 in descending order. x, -2, -3 Let w = -1.4 + 1.4. Suppose 0 = -4*x - 3*n - 18 + 4, 5*x - 2*n + 6 = 0. Let a = 4 + x. Sort a, w, -0.4 in decreasing order. a, w, -0.4 Let y = 269 - 283.7. Let n = -17.5 + 2.5. Let t = n - y. Put -1/3, t, -1 in decreasing order. t, -1/3, -1 Let p be 80/14 - (-2)/7. Let m = -343 - -352. Suppose 3*n = p*n + m. Sort -5, 3, n. -5, n, 3 Let c = 268 - 266. Sort -10, c, 3, 1 in descending order. 3, c, 1, -10 Let h(l) = -l**3 + 5*l**2 - 5*l + 5. Let a be h(4). Let p = 30 + -30.22. Let b = 5.22 + p. Sort b, -5, a in increasing order. -5, a, b Let z be (2 - (0 + -10))/2. Suppose -d - 5*a = -26, -2*d + 2*a = z*a - 22. Suppose 3 + d = -v. Sort 2, 0, v in descending order. 2, 0, v Let v be (-2 - 40/(-15))/((-40)/(-90)). Sort v, 1, 3/4 in decreasing order. v, 1, 3/4 Let w = -0.048 - 15.452. Let k = w - -15.7. Sort 1/3, k, -30 in decreasing order. 1/3, k, -30 Let j(t) = -6*t - 163. Let v be j(-27). Put -3, -32, v in increasing order. -32, -3, v Let h(q) = -q**3 - 4*q**2 + 2*q + 6. Let j be h(-5). Let l be (-111)/j + (-4)/(-14). Let t = 6.1 + -3.1. Sort l, t, 1/7. l, 1/7, t Let w(g) = g + 12. Let r be w(-14). Let d(i) = i + 4. Let c be d(r). Suppose -2*t = 3*u + 14, -5 - 3 = c*u. Sort 1, 2, t in increasing order. t, 1, 2 Let s be (-21)/(-4) - 184/736. Sort 163, -4, s. -4, s, 163 Let h = -87/385 + 2/77. Let m = 1.538 - 2.738. Put h, 3, -4, m in increasing order. -4, m, h, 3 Suppose -3*z + 12 = 0, 6 = -n + 5*z - 16. Let a be n/(-5)*(-6 + 4). Put -0.4, 1/5, 1/4, a in decreasing order. 1/4, 1/5, -0.4, a Let g be (2*12/10)/((-2)/(-5)). Let o = -77 - -80. Put o, 2, g in decreasing order. g, o, 2 Suppose -3 = l + m, 3*m = -3*l - 2*m - 17. Let d = -0.21 - 0.09. Put d, 0.3, l, 4 in descending order. 4, l, 0.3, d Let f(j) = j**3 + 10*j**2 - 3*j - 29. Let y be f(-10). Put -3, y, 5, 2 in increasing order. -3, y, 2, 5 Let l be 637/539 - (0 + 1). Sort 3, l, -5. -5, l, 3 Let v = 3 - 3.1. Let u = v - -0.4. Let k be 7 + 5/(-4) + 2 + -8. Sort -1/9, u, k in ascending order. k, -1/9, u Let n = -8 - 0. Let a = -6 - n. Put -5, -0.1, a in descending order. a, -0.1, -5 Let h = 10 + -5. Let i = -18 + 16. Put h, -3, -1/7, i in descending order. h, -1/7, i, -3 Let l(b) = -3*b**3 + b**2 - 2*b + 1. Let n be l(1). Let r = 2.2 - 2.38. Let w = r - -0.08. Sort w, 5, n. n, w, 5 Suppose -4*t - 4 = -2*t, -14 = 5*p + 2*t. Let n(i) = i**3 + i**2 - 6*i - 6. Let u be n(-2). Sort p, u, 0 in decreasing order. u, 0, p Suppose 4*f = 5*r + 79, 3*f = 3*r - 2*f + 37. Let a = 24 + r. Put -5, a, -3/7 in descending order. a, -3/7, -5 Let t = 0 + 0.2. Let n = -7039 + 7038.9. Put 5, -5, t, n in decreasing order. 5, t, n, -5 Suppose -4*l + 10 = 5*o, 7 - 14 = 3*o + 5*l. Put 1/2, 4, o, 5 in descending order. o, 5, 4, 1/2 Let s = 41 - 24. Let z = 13 - s. Let k = 4.2 + z. Sort 0.4, k, -3/7 in ascending order. -3/7, k, 0.4 Let r = 0.73 + -0.01. Let t = 0.8 - r. Let j = t + -0.28. Sort -0.1, j, 2. j, -0.1, 2 Let c be 8/6*39/26. Suppose 0 = -n - 3, c*u = -n + 2*n + 11. Sort u, 1/9, 7 in descending order. 7, u, 1/9 Suppose 10*w - 36 = -8*w. Put -1, -4, w, 3/2 in decreasing order. w, 3/2, -1, -4 Suppose -g + 3 = -1. Let a be (16/2)/g + 0. Let i be ((4 + -2)*4)/a. Put i, 2/5, -1/3 in increasing order. -1/3, 2/5, i Suppose 4*c - 2*h = 32, h + 8 = 5*h. Let d = 11 - c. Suppose -d*a = -4*a - 4. Sort 2, 0, a in decreasing or
{ "pile_set_name": "DM Mathematics" }
8. 1322 What is the highest common factor of 37941030 and 1495? 115 What is the greatest common divisor of 20331639 and 261? 261 Calculate the greatest common divisor of 2640421 and 340431. 203 Calculate the highest common divisor of 43396154 and 7874. 254 What is the highest common factor of 5 and 400735? 5 What is the greatest common factor of 122799244 and 596? 596 What is the highest common factor of 39936 and 120576? 768 Calculate the highest common divisor of 1701 and 689322. 3 What is the greatest common divisor of 4212 and 52724844? 324 Calculate the highest common divisor of 17653573 and 49. 49 What is the greatest common factor of 19164 and 16101? 3 What is the highest common factor of 42 and 1055733? 21 What is the greatest common factor of 70738 and 5453086? 626 Calculate the highest common factor of 339520 and 373760. 320 What is the greatest common divisor of 210 and 3426779160? 210 Calculate the highest common factor of 69561396 and 27. 27 What is the greatest common factor of 34 and 458137658? 34 Calculate the highest common divisor of 260 and 2592820. 20 What is the greatest common divisor of 2606921 and 948? 79 What is the highest common divisor of 19823 and 102555? 43 Calculate the greatest common factor of 346456 and 2359720. 2728 Calculate the greatest common factor of 10355100 and 1680. 420 What is the greatest common factor of 12508635 and 1515? 15 Calculate the greatest common factor of 56 and 40123468. 28 What is the highest common factor of 14805 and 537772590? 2115 Calculate the greatest common divisor of 3436784 and 5904. 656 Calculate the highest common divisor of 80 and 635401240. 40 Calculate the highest common divisor of 78952 and 8634541. 139 Calculate the greatest common factor of 690422 and 530. 2 What is the highest common factor of 61269 and 74177907? 4713 Calculate the highest common factor of 35245 and 31163230. 665 What is the greatest common factor of 710 and 7235894? 142 Calculate the highest common divisor of 2431 and 46216183. 221 What is the greatest common divisor of 643763 and 3699? 137 What is the highest common divisor of 2751894 and 162? 162 What is the highest common factor of 4113592 and 2142? 238 Calculate the highest common divisor of 55270021 and 4174. 2087 What is the greatest common factor of 23359 and 28090349? 329 Calculate the highest common divisor of 4752824 and 56. 8 Calculate the greatest common factor of 1199 and 283536. 11 What is the greatest common factor of 2145175133 and 229? 229 Calculate the greatest common factor of 298452 and 17560389. 4389 Calculate the highest common factor of 98514 and 172926. 234 What is the highest common divisor of 2106792 and 534528? 2088 What is the highest common divisor of 5830526 and 78? 26 Calculate the greatest common factor of 1632 and 69216. 96 What is the highest common divisor of 202 and 1332614099? 101 Calculate the highest common divisor of 108411146 and 524. 262 Calculate the highest common divisor of 2842 and 372534. 58 Calculate the greatest common divisor of 505 and 12810436. 101 Calculate the greatest common divisor of 19686 and 157590. 102 Calculate the greatest common divisor of 598 and 24336346. 46 Calculate the highest common factor of 6945880 and 3320. 40 Calculate the highest common divisor of 810 and 480402. 18 Calculate the highest common divisor of 23982 and 5326. 2 Calculate the greatest common factor of 24 and 202849740. 12 What is the highest common divisor of 88027 and 10799410? 2147 What is the greatest common factor of 964 and 121990826? 482 Calculate the greatest common factor of 6686216 and 6424. 584 What is the highest common factor of 216 and 2149314? 6 Calculate the highest common factor of 5127336 and 590. 118 Calculate the greatest common divisor of 640 and 258321440. 160 Calculate the greatest common divisor of 10086 and 6991279. 1681 Calculate the greatest common factor of 799110 and 576. 18 What is the greatest common divisor of 93696154 and 71942? 5534 Calculate the highest common divisor of 7351097 and 221. 13 Calculate the greatest common factor of 28 and 104702262. 14 Calculate the highest common divisor of 27405 and 699. 3 Calculate the highest common divisor of 601983 and 10935549. 2853 What is the highest common divisor of 142 and 161453858? 142 What is the highest common factor of 77 and 8900514? 7 What is the highest common factor of 1242528 and 72? 24 Calculate the greatest common factor of 5462268 and 588. 84 Calculate the highest common divisor of 72632 and 841736. 56 Calculate the greatest common divisor of 5154160 and 558800. 880 What is the highest common divisor of 523530 and 486689? 1939 Calculate the greatest common factor of 141 and 688409. 47 Calculate the highest common divisor of 118139 and 1926389. 2411 Calculate the highest common divisor of 336 and 7774914. 42 What is the greatest common divisor of 377157 and 11616? 363 What is the greatest common divisor of 1383253056 and 4288? 4288 What is the highest common factor of 257431 and 20995? 323 Calculate the highest common divisor of 6390 and 3755286. 18 Calculate the greatest common factor of 2646 and 1101944340. 882 Calculate the greatest common factor of 32779992 and 72816. 984 Calculate the highest common divisor of 2732 and 66184066. 1366 What is the greatest common divisor of 999 and 2678023? 37 Calculate the greatest common factor of 435126 and 1215420. 282 What is the greatest common divisor of 21060980 and 60? 20 Calculate the highest common factor of 975500 and 133500. 500 Calculate the greatest common divisor of 217978 and 34339. 1493 What is the highest common factor of 169157 and 421204? 307 Calculate the greatest common divisor of 21901 and 12167001. 1991 What is the highest common divisor of 959 and 1129072? 7 What is the greatest common factor of 150735 and 116805? 195 Calculate the greatest common divisor of 57927 and 597. 3 Calculate the highest common factor of 752876 and 28564. 148 Calculate the greatest common factor of 4437 and 8611173. 261 What is the greatest common divisor of 931 and 7004494? 7 What is the greatest common divisor of 219640611 and 93? 93 What is the highest common factor of 27199 and 12449? 59 Calculate the highest common divisor of 109816357 and 771. 257 What is the greatest common divisor of 3679016 and 2231? 97 Calculate the highest common divisor of 305948711 and 34. 17 What is the greatest common factor of 126 and 8235171? 63 What is the greatest common factor of 786 and 5135986? 262 Calculate the greatest common divisor of 374 and 6223258. 34 What is the highest common divisor of 213895843 and 14? 7 What is the highest common factor of 38889 and 1451943? 261 What is the greatest common factor of 15606 and 10107? 9 Calculate the highest common divisor of 7854759 and 363. 33 Calculate the greatest common factor of 81 and 63570771. 27 What is the greatest common factor of 43058835 and 25085? 865 Calculate the greatest common divisor of 931 and 114923039. 133 What is the greatest common divisor of 2038626 and 16317? 333 Calculate the highest common factor of 129954 and 5. 1 What is the greatest common divisor of 478 and 13352691? 239 Calculate the highest common factor of 72 and 516929859. 9 What is the highest common divisor of 15565 and 316053551? 3113 Calculate the greatest common divisor of 322322 and 9100. 182 What is the highest common divisor of 26 and 944866? 26 Calculate the highest common factor of 1333101296 and 16. 16 What is the highest common factor of 206057 and 41633? 527 What is the highest common divisor of 3772 and 30905882? 1886 Calculate the greatest common divisor of 1068 and 696684. 12 What is the highest common divisor of 1999433 and 10629? 1181 Calculate the greatest common factor of 4269606 and 21054. 726 What is the highest common factor of 42 and 1020876? 6 Calculate the highest common factor of 134751260 and 875. 35 What is the greatest common divisor of 14544 and 167499? 9 What is the highest common factor of 1384 and 14398444? 692 Calculate the greatest common factor of 93 and 289478. 31 What is the highest common factor of 239730214 and 2? 2 What is the highest common factor of 20056 and 1088728? 184 Calculate the highest common divisor of 196918 and 54. 2
{ "pile_set_name": "DM Mathematics" }
ind the common denominator of 53/12885198 and 157/120. 257703960 Calculate the least common multiple of 3355830 and 49716. 6711660 Calculate the common denominator of 13/22580888 and 99/4. 22580888 What is the common denominator of -61/7348676 and -57/25720366? 51440732 Calculate the common denominator of -55/222 and -95/314652. 11642124 Calculate the smallest common multiple of 4498509 and 29. 4498509 Calculate the common denominator of -2/296233 and 113/378. 15996582 Calculate the lowest common multiple of 402325860 and 10. 402325860 Find the common denominator of 19/91036 and -115/6732. 13928508 What is the least common multiple of 143 and 10471006? 115181066 Calculate the smallest common multiple of 23936 and 104. 311168 What is the lowest common multiple of 1005387 and 6? 2010774 Calculate the common denominator of 109/565800 and -7/89148. 182753400 Calculate the common denominator of 7/183028 and -81/4301158. 8602316 Calculate the common denominator of 115/4565792 and -1/2490432. 27394752 Calculate the smallest common multiple of 754344 and 3080238. 36962856 What is the smallest common multiple of 210 and 4781925? 66946950 Calculate the smallest common multiple of 3994224 and 120. 19971120 What is the least common multiple of 10 and 9614000? 9614000 What is the smallest common multiple of 24816 and 312? 322608 Find the common denominator of 143/4523718 and -21/872. 18094872 Calculate the common denominator of -49/240 and -59/15150. 121200 Find the common denominator of 79/173785770 and 29/772381200. 6951430800 Find the common denominator of -43/1056 and -19/23802. 4189152 Calculate the common denominator of 69/12944 and -61/141124. 456677264 Calculate the least common multiple of 17412 and 325008. 471586608 Calculate the least common multiple of 2056636 and 68. 34962812 What is the lowest common multiple of 16 and 1333997594? 10671980752 Find the common denominator of -31/15377184 and -133/2443104. 261412128 What is the common denominator of 50/11 and 71/3665070? 40315770 Calculate the least common multiple of 198 and 3088668. 9266004 Find the common denominator of 61/7581900 and -21/6950075. 83400900 Calculate the lowest common multiple of 205324128 and 68441376. 205324128 What is the common denominator of 73/432 and 151/9087624? 54525744 Calculate the least common multiple of 11880 and 19467. 8565480 What is the common denominator of -57/19270394 and -83/234? 173433546 Find the common denominator of -137/3136206 and 41/33. 34498266 Calculate the least common multiple of 7 and 2092373. 14646611 Find the common denominator of -10/10731 and 29/69923. 15313137 What is the smallest common multiple of 11367664 and 80? 56838320 What is the common denominator of -127/41374320 and -73/240? 41374320 Calculate the common denominator of 127/3544030 and -29/1799. 3544030 Calculate the common denominator of -113/12 and -16/8092047. 32368188 Calculate the common denominator of -59/3038340 and 13/3038340. 3038340 What is the least common multiple of 184 and 3237710? 12950840 Calculate the common denominator of -11/5237471 and 119/94030. 52374710 What is the least common multiple of 11288 and 23514232? 399741944 Find the common denominator of -41/942972 and -17/7072290. 14144580 Calculate the smallest common multiple of 20837927 and 1096733. 20837927 What is the least common multiple of 2691 and 32942923? 296486307 Calculate the common denominator of -97/40480 and 62/14285. 115651360 Calculate the lowest common multiple of 54480 and 74910. 599280 What is the lowest common multiple of 23223 and 1780430? 5341290 Calculate the common denominator of -17/162797 and -101/230388. 142610172 Calculate the least common multiple of 546768 and 394888. 7107984 What is the common denominator of 73/8 and 25/1105507? 8844056 Calculate the lowest common multiple of 130 and 54986620. 54986620 Find the common denominator of -83/23002200 and 97/150. 23002200 Calculate the least common multiple of 84357 and 1161531. 15099903 What is the common denominator of -31/51192 and -109/90850? 29435400 What is the least common multiple of 30 and 134364540? 134364540 Find the common denominator of 22/291 and 73/12211815. 12211815 What is the lowest common multiple of 1977948 and 32571? 21757428 What is the smallest common multiple of 4063552 and 1152? 73143936 Calculate the smallest common multiple of 724680 and 4992240. 44930160 What is the lowest common multiple of 5691756 and 5715? 10842795180 What is the least common multiple of 297228 and 31434? 50231532 Calculate the lowest common multiple of 3485544 and 85430. 17427720 What is the least common multiple of 21056 and 15604? 1747648 Calculate the lowest common multiple of 980 and 864360. 864360 Calculate the least common multiple of 99468 and 174528. 160740288 Calculate the common denominator of -40/275499 and -37/550998. 550998 What is the common denominator of -13/11564 and 55/4644598? 65024372 What is the smallest common multiple of 1572424 and 56? 1572424 What is the lowest common multiple of 1295837 and 6980? 25916740 Find the common denominator of -5/80458 and -103/27048. 22206408 Find the common denominator of -13/17632 and -42/95. 88160 What is the common denominator of 28/19 and 12/47587039? 47587039 What is the least common multiple of 8445415 and 3071060? 33781660 What is the lowest common multiple of 36680 and 4323000? 30261000 Calculate the least common multiple of 423049 and 230754. 2538294 Find the common denominator of -107/323900 and 69/2660. 43078700 Calculate the common denominator of 47/1216 and -99/372992. 7086848 What is the least common multiple of 2066400 and 1960? 14464800 What is the least common multiple of 4536 and 4914? 58968 What is the lowest common multiple of 5771 and 507848? 507848 Calculate the least common multiple of 821307 and 357090. 8213070 Calculate the common denominator of 71/680190 and -51/67703. 582922830 Find the common denominator of 19/67993638 and -89/175785. 339968190 Calculate the common denominator of 7/13113630 and 91/582828. 26227260 Find the common denominator of -44/4837385 and 137/280. 38699080 What is the smallest common multiple of 22336300 and 281550? 67008900 Calculate the lowest common multiple of 66276 and 7080. 39102840 Calculate the lowest common multiple of 744884 and 333. 6703956 What is the common denominator of -13/6 and 139/6789828? 6789828 What is the lowest common multiple of 1763 and 271490? 478636870 What is the common denominator of 5/1332034 and -97/2300786? 25308646 Find the common denominator of -14/11205909 and -71/6895944. 89647272 Calculate the least common multiple of 666 and 3007286. 27065574 Calculate the common denominator of 31/1623936 and 67/1932. 261453696 Calculate the lowest common multiple of 126666912 and 55416774. 886668384 Calculate the common denominator of 29/272560 and -99/115892512. 579462560 Find the common denominator of -5/21 and -81/7736272. 162461712 What is the smallest common multiple of 1685343 and 858? 43818918 Calculate the common denominator of 107/2022 and 41/78210. 26356770 Calculate the common denominator of 149/226452070 and 13/11. 2490972770 What is the least common multiple of 23037084 and 2034? 23037084 Calculate the smallest common multiple of 15075 and 251685. 84314475 Calculate the common denominator of -83/26257690 and 26/76147301. 761473010 Calculate the lowest common multiple of 46315 and 561149. 440501965 Calculate the common denominator of -131/29984154 and 113/109941898. 329825694 What is the smallest common multiple of 19856 and 4724096? 344859008 Find the common denominator of -71/298440 and 95/3708. 30739320 What is the common denominator of 83/24 and 91/23338440? 23338440 Calculate the lowest common multiple of 28578 and 45465. 1000230 What is the least common multiple of 201 and 337248? 22595616 Find the common denominator of 15/1912856 and 87/3999608. 43995688 What is the common denominator of -23/45872 and -81/704624? 42982064 What is the common denominator of 65/153 and 119/109890? 1868130 Calculate the least common multiple of 307960 and 17184168. 85920840 Find the common denominator of -7/404996 and -43/25132. 24704756 Calculate the common denominator of 71/29101436 and 53/22. 320115796 What
{ "pile_set_name": "DM Mathematics" }
s*a + a**3 - 74*a + 1 + a**2 - 75*a. Determine z(r). -1 Let l(a) be the second derivative of 1/20*a**5 - 1/120*a**6 + 1/2*a**3 - 2*a**2 - 4*a + 0 - 1/24*a**4. Let q(t) be the first derivative of l(t). What is q(3)? 0 Let z(l) = 3*l**2 + 16*l + 38. Let k(f) = 2*f**2 + 7*f + 19. Let n(r) = 5*k(r) - 3*z(r). Calculate n(14). -5 Suppose -151*v + 143*v = 32. Let i(o) = -o - 1. Calculate i(v). 3 Let m be (-2 - 3) + -3 + 3/3. Let p(n) = n**2 + 10*n + 2. Calculate p(m). -19 Let j(x) = 2*x - 10. Let a(f) = f - 7. Let n(k) = 10*a(k) - 6*j(k). Determine n(-8). 6 Suppose -5*w = 7*w - 864. Suppose 3*m = -5*m - w. Let r(u) = u**2 + 9*u - 2. Calculate r(m). -2 Let s(k) = k**3 + 10*k**2 - 12*k - 15. Let n be (-2)/(-3)*2376/(-144). What is s(n)? -4 Let v(h) be the first derivative of h**5/20 - h**4/4 - 3*h**2/2 - 13*h + 6. Let b(m) be the first derivative of v(m). Give b(3). -3 Let l(v) = v - 3. Let i(h) = 4*h - 5. Let c(g) = 2*i(g) - 3*l(g). What is c(-3)? -16 Let i(q) = -q**2 - q + 8. Suppose -59*m - 35 = -54*m. Calculate i(m). -34 Let t(u) = 2*u**2 - 2*u - 2. Let f(v) = 7*v + 342. Let y be f(-49). Determine t(y). 2 Let n(g) be the first derivative of -g**3/3 - 5*g**2 + 11*g - 3. Let z be n(-11). Let i(v) = z - 1 - 17*v + 15*v. Determine i(3). -7 Suppose -7 = -5*p + u, 4*u = 9*u + 10. Let m be p + 1 - (-3 - 0). Let r(l) = 22*l**3 - m*l**2 - 21*l**3 + 2*l - 1 - 2. Determine r(5). 7 Let p(r) = -7*r - 5. Suppose 2*k = -5*i - 8 - 5, -3*k - 10 = -2*i. Calculate p(k). 23 Let g(m) be the first derivative of 33*m**2/2 + m - 200. Determine g(-1). -32 Let h(y) = -8*y**2 - 6*y - 5. Let s(u) = 4*u - 14. Let i be s(5). Let f = 3 + 2. Let o(r) = 7*r**2 + 5*r + 4. Let j(q) = f*h(q) + i*o(q). Calculate j(-1). 1 Let z(b) = -2*b**2 - 7*b + 2*b**2 - b**2 - 14*b - 62. Give z(-18). -8 Let l(a) be the third derivative of a**5/60 + a**4/24 - 5*a**3/6 - 297*a**2. What is l(0)? -5 Let q(g) be the second derivative of g**5/20 - g**4/3 - g**3/3 - 3*g**2/2 - 156*g. Calculate q(5). 12 Let u(n) = -n**2 - 7*n - 2. Suppose 11*s - 7*s = 0. Let h = s - 2. Let p(r) = 2*r**3 + 2*r**2 - r. Let o be p(h). Determine u(o). 4 Let k be -1 - -5*12/(-10). Let c = k + 14. Let l be c/21 + (-10)/3. Let a(r) = -3*r + 3. Determine a(l). 12 Let u = -1530 - -1532. Let j(o) = -3*o**3 + 2*o**2 - 6*o + 3. What is j(u)? -25 Let l(m) = m**3 - m + 1. Let p(y) = -6*y**3 - 2*y**2 + 6*y - 4. Let j(z) = 4*l(z) + p(z). Suppose 4*r = v + 6 + 1, 3*r - v = 5. Give j(r). -20 Let j(v) be the third derivative of -7*v**4/24 - 5*v**3/6 - v**2 - 13*v. Give j(-4). 23 Let x(j) = 2 - 3 - 4*j - 1. Let z(c) = c + 5. Let q be -4 - -3*(-3 - -2). Let g be z(q). Calculate x(g). 6 Let s be 2/5 + (-1776)/240. Let v(a) = -5*a - 1. What is v(s)? 34 Let t(n) be the third derivative of n**5/60 + n**4/24 + n**3/6 + 2*n**2 + 3*n. Suppose 2*z = z. Suppose 4 = -z*d + 2*d. Calculate t(d). 7 Let w(g) be the second derivative of g**4/12 - 2*g**3 + 29*g**2/2 + 262*g. What is w(6)? -7 Let h(d) be the third derivative of -3*d**2 - 1/120*d**5 + 0*d + 0 - 1/6*d**3 + 5/12*d**4. Let i(u) be the first derivative of h(u). Calculate i(5). 5 Let n(c) = -c**3 + 2*c**2 - 6*c**2 + 6*c**2 + 8 + c - 3*c**2. Give n(0). 8 Let f = 1 + -2. Let q(y) = -21. Let w(a) = -17. Let x(s) = 4*q(s) - 5*w(s). Let j(d) = -2*d + 8. Let r(v) = f*j(v) + 10*x(v). Give r(2). 6 Let o(s) = -5 - 6*s - 11*s - 3*s + 16*s. Calculate o(-3). 7 Let r(h) = h**2 + 6*h - 9. Let b be ((-18)/(-30) - (-49)/10)*10. Let l = 48 - b. Determine r(l). -2 Let d(f) = -2*f + 59. Let b(k) = -2*k + 60. Let h(j) = -6*b(j) + 7*d(j). Calculate h(24). 5 Let r(g) = 1163*g + 2 - 2 + 6 - 1161*g. Calculate r(-7). -8 Let n(a) = -10*a + 2. Suppose -32 + 18 = 7*t. What is n(t)? 22 Let o(v) be the third derivative of -v**7/840 - v**6/45 - v**5/120 - v**4/6 - 2*v**3 - 2*v**2. Let s(h) be the first derivative of o(h). Give s(-8). 4 Let k(b) = -3*b + 3. Let u(p) = 21*p - 63. Let z(g) = -6*k(g) - u(g). Give z(16). -3 Let q be -1 + 4/(7 + -3). Let d(h) = -7 + 0 + 1 + q*h + 2*h. Give d(5). 4 Let c(b) be the first derivative of b**4/4 - 8*b**3/3 - 11*b**2/2 - b - 56. Calculate c(9). -19 Let s(c) be the first derivative of -1/8*c**4 - 1/3*c**3 + 0*c - 4 - 1/360*c**6 + 1/20*c**5 + 0*c**2. Let b(t) be the third derivative of s(t). Calculate b(4). 5 Suppose 23*o - 22*o - 1 = 0. Let i(s) = o - 5*s + 6*s**2 - 3*s + 8*s - s. Give i(1). 6 Let m be -5*(-32)/200*5. Let k(u) = u**3 - u**2. Let i(l) = -7*l**3 + 9*l**2 + 6*l - 3. Let o(a) = i(a) + 6*k(a). Give o(m). 5 Let w(z) be the first derivative of -7*z**3/3 + 2*z**2 - 3*z - 498. Calculate w(2). -23 Let c(f) = f**3 - f**2 - 3*f + 3. Let s(r) = 2*r**3 - r**2 - 5*r + 6. Let d(z) = 5*c(z) - 2*s(z). What is d(4)? -1 Let p(a) = 2*a**2 - a - 1. Let g(n) = 13*n**2 - 2*n - 14. Let m(h) = -g(h) + 6*p(h). Calculate m(-6). -4 Suppose 2*s - x + 6*x + 10 = 0, x + 2 = -2*s. Let m(q) = -q**2 - q - 16. Determine m(s). -16 Let l(f) be the first derivative of -2*f**2 - f + 7. Let t = -195 + 198. Calculate l(t). -13 Let h be ((-2)/(-3))/(28/546). Let g(i) = -i**2 + i + h - 25 + 12. Let v be 1 + 1/3*0. Give g(v). 0 Let y(h) = h**2 - 1. Suppose -2*b + 8 + 2 = 0. Suppose 0 = 4*w - 3*x + 7, -b*w - x + 35 = 4*x. What is y(w)? 3 Suppose 4 = -4*x + 12. Let z(r) = -7*r + 1 - 2*r**2 + x*r**2 + 2*r**2 + 9*r. Let h be ((-3)/3)/(1 - 0). Calculate z(h). 1 Let j(f) = -2*f**3 + 2*f**2 - f. Suppose -4*r - r + 112 = 4*v, -v = 4*r - 28. Suppose 0 = 5*q - 4*c + 10, 2*q + 4*c = -2*q + v. Calculate j(q). -10 Let n(k) be the second derivative of -k**3/2 + 9*k**2/2 - 519*k. Calculate n(1). 6 Suppose 3*m - 19 = 4*r, 2*m + 8 = 2*r + 4*m. Let u be (-1)/1*-4 - 4. Let z(s) = -s - 2 + 1 + u*s**2 - s**2 + 0*s. Give z(r). -1 Suppose 4*w - 25 = -w. Suppose -w*q = -2*p - 11, -4*q = 2*p - q - 13. Let a(k) = -k**3 - 3*k**2 + 2. Give a(p). -18 Let a(y) = -y**2 - 8*y + 4. Let f(q) = -q**2 + 14*q - 51. Let n be f(6). Let c be 24/n + 0/(2 - 0). Give a(c). 4 Let u(y) = 3*y + 26. Let r(d) = 5*d + 52. Let m(l) = 4*r(l) - 7*u(l). Calculate m(11). 15 Let d(x) be the third derivative of x**5/60 + 11*x**4/24 - x**3 + 3*x**2 - 8. What is d(-11)? -6 Let l = 541 - 543. Let a(d) = -5*d - 6. Give a(l). 4 Suppose 2*k + 5*r = -16, 5*k = 2*k - 3*r - 6. Let g be (k + 0)*((-18)/4 + 1). Let l(p) = -p**3 - 8*p**2 - 9*p - 9. Calculate l(g). 5 Suppose 4*j - 13 = 3. Let z(u) = 7 - u**2 - 5 + 4*u - 5. Give z(j). -3 Let z(j) = -2*j**3 + 40*j**2 - j + 14. Let o be z(20). Let u(w) = -w**3 - 7*w**2 + 26. Calculate u(o). -10 Let b(z) be the first derivative of -z**2/2 - 10*z - 8. Let u be b(-10). Let c(j) = -j**2 + j - 2. Determine c(u). -2 Let g(y) = -2*y**2 + 10*y - 4*y - 11*y - 6 + y**2. What is g(-5)? -6 Suppose 4*d = -3*c + 2*c - 9, 0 = -5*c + 2*d + 21. Let m(y) = -c*y**2 - 5*y**2 + 3 + 17*y**2 - 12*y**2 + y**3 - 6*y. Determine m(4). -5 Let m(a) = a**3 + 9*a**2 + 7. Let j be (-5)/(100/(-4008)) + (-6)/15. Suppose 3*t = j - 227. Give m(t). 7 Let t(j) = 3*j**2 + 8*j - 6. Let z(y) = 17*y**2 + 39*y - 30. Let k(u) = -11*t(u) + 2*z(u). Determine k(5). -19 Let z(l) be the second derivative of -l**3/6 + l**2 + l. Suppose 20*o + 11*o + 32 + 92 = 0. Determine z(o). 6 Let q(s) be the third derivative of -s**5/60 - 7*s**4/24 - 3*s**3/2 + 22*s**2. What is q(-6)? -3 Suppose 0 = -2*s - 4*f + 8, -f - 1 = -s + 6. Let y(j) = -5*j**3 + s*j**3 + 2*j + 3*j**2 - 1 + 0*j. Calculate y(-2). -1 Let r be 15/(-20)*(-12)/9. Let p(d) = -2821*d + 2816*d + d**2 - r + 1. Determine p(4). -4 Let t(k) be the first derivative of k**4/4 - 14*k**3/3 - k**2/2 + 6*k + 4. Let z be t(14). Let l = 13 + z. Let p(q) = -q - 1. Determine p(l). -6 Let v(n) be the second derivative of n**4/12 - 7*n**3/6 + 5*n**2 - 498*n. What is v(3)? -2 Let h(p) be the first derivative of p**4/4 - 9*p**3 + 49*p**2/2 + 22*p - 42. Give h(25). -3 Let f be 2/8*0/(-9). Let j(r) = -7*r**2 - 3 + 3*r**2 + f*r**2 + r**2 - 2*r. What is j(-2)? -11 Let f(z) = 3*z + 26. Let q(x) = 4*x + 25. Let m be (-24)/42 - 76/14. Let c(d) = m*f(d) + 5*q(d). Let r be c(14). Let v(o) = 4*o - 1. Give v(r). -13 Suppose -6 + 4 = 2*k. Let i(f) = -1. Let w(l) = -2*l - 6. Let c(p) = k*w(p) + 4*i(p). Let b be c(1). Let j(d) = -d**2 + 2*d + 5. What is j(b)? -3 Suppose 0 = -3*f - d - 11, -2*d = 2 + 2. Let x(y) = -y. Let r be x(f). Let b(j) = j. Give b(r). 3 Let d(
{ "pile_set_name": "DM Mathematics" }
+ 6739. What is the second derivative of x(n) wrt n? -2420*n**3 - 30 Let u(s) = -3*s**3 - 33*s**2 + 293. Let o(r) = r**3 + 14*r**2 - 146. Let d(j) = 5*o(j) + 3*u(j). What is the derivative of d(a) wrt a? -12*a**2 - 58*a Let c(b) be the second derivative of 420*b**3 + 1900*b**2 - 8930*b. What is the first derivative of c(g) wrt g? 2520 Let p be (-1)/(-2) + (-162)/(-36). What is the second derivative of 4 - 3*r - 3 - 92*r**p - 3 + 0 wrt r? -1840*r**3 Let h = 10 + -6. Suppose 0 = m + 3*c + 2, m = 5*m - 4*c - 56. Differentiate m*x**h - 10*x**3 - 3*x**4 + 10*x**3 - 9 with respect to x. 28*x**3 Suppose -5*c = p - 155, -5*p + 4*c + 775 = -c. Differentiate -7 - 2*i - i + 0*i + p wrt i. -3 Let d(s) be the second derivative of -41*s**5/10 + 7*s**4/3 - 2*s**3 - 191*s**2/2 + 1753*s + 1. What is the second derivative of d(r) wrt r? -492*r + 56 Find the third derivative of -3*y**2 + 950 - 259*y - 10*y - 950 + 3071*y**4 wrt y. 73704*y Suppose 0 = -6*o + 8 + 4. Suppose 51 = o*v - 9. What is the third derivative of -v*f**2 + 71*f**2 - 36*f**2 - 3*f**6 wrt f? -360*f**3 Let z = -189 + 197. Suppose -12*m + 8*m + 16 = 0. What is the derivative of -4150*t**2 + 4150*t**2 + z - 29*t**m wrt t? -116*t**3 Let u(i) = 3*i**3 + i**2 - 2*i + 1. Let s be u(1). Suppose s = 7*m - 11. Find the second derivative of -2*v**2 - 6*v**2 + 3*v**m + 7*v - 4*v wrt v. -10 Differentiate -307 + 730*l - 106 + 185*l wrt l. 915 Let m(a) be the first derivative of 3/2*a**4 + 0*a**3 + 89 - 57*a + a**2. Differentiate m(w) wrt w. 18*w**2 + 2 Let z(q) be the third derivative of q**7/210 + q**6/10 - 9*q**5/10 - q**4/8 - 19*q**3/6 - 3325*q**2. Find the second derivative of z(u) wrt u. 12*u**2 + 72*u - 108 Let b(y) = -1580997*y**2 - 1242*y + 815304. Let q(z) = -5100*z**2 - 4*z + 2630. Let o(t) = 2*b(t) - 621*q(t). Differentiate o(f) with respect to f. 10212*f Let l(g) = -7*g + 4. Let v be l(-5). Suppose -35*j + v*j - 12 = 0. What is the second derivative of -8*m - 7*m**3 + 33*m**3 - 58*m**j wrt m? -192*m Let o be 4/(-5 - -1 - -2) + 4. Find the second derivative of 45*a - 32*a**o + 7*a**2 + 34 - 34 wrt a. -50 Let v(c) be the second derivative of c**8/28 - 47*c**6/30 + 497*c**4/6 + 1172*c. What is the third derivative of v(a) wrt a? 240*a**3 - 1128*a Differentiate -572*p**3 + 1146*p**3 - 573*p**3 + 2975 - 431*p wrt p. 3*p**2 - 431 Let p(q) be the first derivative of -826*q**5/5 - q**4/2 - 1626*q**3 + 1038. What is the third derivative of p(d) wrt d? -19824*d - 12 Suppose -2*r = -3*q + 26, -5*q + 2*r + 22 = -24. What is the second derivative of 4*s**4 + q*s**4 - 14*s - 2*s**2 - 70*s - 2*s**4 wrt s? 144*s**2 - 4 Let r(b) be the third derivative of -10*b - b**2 + 0*b**4 + 0*b**5 - 56/3*b**3 - 1/40*b**6 + 3/70*b**7 + 0. What is the first derivative of r(d) wrt d? 36*d**3 - 9*d**2 Suppose 4*n = m + 2771, -4*n + 0*m - 5*m + 2777 = 0. Differentiate -20*z**2 + z**4 + 721 + n - 1245 wrt z. 4*z**3 - 40*z Let b = -439 - -484. What is the second derivative of 2754*w + 0*w**4 - 2753*w + 0*w**4 - 97*w**5 + b wrt w? -1940*w**3 Let w(r) be the second derivative of -4547*r**3/6 + 1921*r**2 - 85*r - 4. What is the derivative of w(y) wrt y? -4547 Find the third derivative of -20*l + 61*l + 377 + 831 - 21*l - 18*l + 1371*l**6 - 2*l**4 - 2*l**2 wrt l. 164520*l**3 - 48*l Suppose 2*x + 3*x + 4*r - 284 = 0, 0 = 3*r + 12. Suppose 0 = -66*t + x*t + 132. What is the second derivative of -28*n**5 - n + 3*n - t*n**5 - 8*n wrt n? -1000*n**3 Let g be (38 - (-12)/3)/(-1 + 2). Let l = g - 35. Differentiate 744*p**2 - 23*p**3 + 8 + l*p**3 - 744*p**2 with respect to p. -48*p**2 Suppose -4*o + 9*o = 0. Suppose o*p = 2*p. What is the third derivative of 4*h**2 + p*h**2 + h**2 + 7*h**5 + 3*h**2 wrt h? 420*h**2 Let i(r) be the third derivative of -1/12*r**4 + 1/105*r**7 + 0*r + 1/120*r**6 - 66*r**2 + 0*r**5 - 5/2*r**3 + 0. Find the second derivative of i(q) wrt q. 24*q**2 + 6*q Let i(h) = h**3 - 12*h**2 + 11*h - 10. Let o be i(11). Let f = 13 + o. Find the second derivative of -14 - c + 14 - 4*c**3 + 11*c**f wrt c. 42*c Differentiate 1433 - 397*c**2 - 448*c**2 - 654*c**2 + 371*c**2 with respect to c. -2256*c Let j(a) = 4264*a**3 - 4514*a**2 - 68*a. Let q(s) = 4265*s**3 - 4514*s**2 - 51*s. Let t(x) = 3*j(x) - 4*q(x). Find the third derivative of t(c) wrt c. -25608 Let a(h) be the first derivative of -159 + 107*h - 2/5*h**5 + 0*h**4 + 0*h**2 - 17*h**3. Differentiate a(c) with respect to c. -8*c**3 - 102*c Let a be 8/(-10) - 4*3/(-15). Let q(z) be the third derivative of 9/20*z**5 + 19*z**2 + 0 + 0*z**3 + a*z - 5/8*z**4. Find the second derivative of q(c) wrt c. 54 Let c(z) be the second derivative of 1591*z**3/3 - 2017*z**2/2 - 2482*z. What is the derivative of c(k) wrt k? 3182 Let i(v) be the second derivative of 1651*v**7/42 + 671*v**4/6 + 41*v - 12. Find the third derivative of i(u) wrt u. 99060*u**2 Let x be (18/(-15))/(6/(-15)). Suppose 0 = -k + x + 6. Find the second derivative of -k*f**2 + 3*f - 5*f - 12*f wrt f. -18 Let x(t) = 13*t**2 + 2*t + 1. Let d(s) = 6847*s**2 - 3351*s + 6. Let q(n) = -d(n) + 6*x(n). What is the second derivative of q(o) wrt o? -13538 Let k(t) be the first derivative of 83*t**7 + 5*t**6/6 + t**3/3 - 69*t**2/2 - 9*t + 926. Find the third derivative of k(j) wrt j. 69720*j**3 + 300*j**2 What is the second derivative of 115 - 6*x - 146 + 229 + 1637*x**2 + 70 wrt x? 3274 Let f(g) = -6*g - 104. Let d be f(-18). What is the third derivative of 135 - 2*v**3 - 135 + 73*v**2 - 2*v**d wrt v? -48*v - 12 Let x = -22 + 28. Suppose x = 4*t - 2*t. Find the second derivative of 639 + t*y - 639 + y**2 wrt y. 2 Find the first derivative of 592 + 683*g + 475*g - 295*g + g**2 - 1946 + 1018*g wrt g. 2*g + 1881 Let r = 166 + -154. Find the second derivative of 48*c - c**2 - 3*c**2 - r*c**2 wrt c. -32 Let l(p) be the first derivative of 71*p + 0*p**2 + 38/3*p**3 - 102. What is the derivative of l(r) wrt r? 76*r Let u = 265 + -117. Find the second derivative of u*d - 97 + 204 - 107 - 57*d**5 wrt d. -1140*d**3 Let b(v) = -4*v - 114. Let l be b(-34). What is the derivative of -27 - 14 + 73*q + l wrt q? 73 Suppose 1352 = -19*m + 9218. Find the third derivative of -3*j**5 - m*j**3 - 472*j**3 + 847*j**3 - 97*j**2 wrt j. -180*j**2 - 234 Let t = -6569 - -6587. Let r(b) be the second derivative of -11/2*b**2 + 0 + t*b - 7/6*b**3. Find the first derivative of r(i) wrt i. -7 Let g(b) = 7*b**2 - 53*b - 218. Let t(s) = -3*s**2 + 26*s + 109. Suppose q + 13 = 4. Let c(m) = q*t(m) - 4*g(m). Find the first derivative of c(v) wrt v. -2*v - 22 What is the third derivative of 1334*b**2 + 1179*b**2 - 1018*b**3 + 0*b**6 - 21*b**6 + 20*b**6 wrt b? -120*b**3 - 6108 Let a(y) be the third derivative of -197*y**7/30 + 97*y**4/4 - 533*y**2. What is the second derivative of a(u) wrt u? -16548*u**2 Let m(q) be the first derivative of 71 - q**2 + 65/3*q**3 - 82*q. Differentiate m(j) with respect to j. 130*j - 2 Let q(l) = 1271*l**3 - 196*l**2 - 5*l - 6. Let j(c) = -1272*c**3 + 196*c**2 + 4*c + 5. Let o(f) = 6*j(f) + 5*q(f). Find the third derivative of o(v) wrt v. -7662 Let v(o) = -o**3 + 6*o**2 - 4*o - 16. Let u be v(6). Let r = 52 + u. Differentiate -13*s + 13*s + 6*s**2 - r with respect to s. 12*s Let o(p) = -525*p**2 + 6*p - 12678. Let m(i) = 2089*i**2 - 23*i + 50712. Let j(v) = 4*m(v) + 17*o(v). Find the first derivative of j(n) wrt n. -1138*n + 10 Suppose 9*f = 15 + 3. Let g be ((-42)/24 + f)*(0 - -20). What is the derivative of -11*n + 3*n**4 - g*n + 16*n - 10 wrt n? 12*n**3 Let i be 3/2 + (-8)/(112/(-147)). Let y be 9/i + (-584)/(-32). Find the second derivative of 32*c**2 - 12*c - 15*c**4 - 13*c**2 - y*c**2 wrt c. -180*c**2 Let c = -120 - -124. Let m = 2151 - -132. What is the third derivative of -4 + 2279*g**4 + 4 + 17*g**2 - m*g**c wrt g? -96*g Suppose 3*p + 4*c + 26 = 2*p, -p = 3*c + 21. Let g be (-4)/6*p/2. What is the third derivative of 33*k**6 + 2*k**g - 5*k**6 + 28*k**2 wrt k? 3360*k**3 Let y(x) = -2*x - 1. Let j be y(-2). Let b = -3741 + 3745. Find the second derivative of 5*o**3 + 39*o**j + 33*o + b*o**3 wrt o. 288*o Let o(p) be the second derivative of 37/6*p**3 + 19*p**2 - 9*p + 0. Find the first derivative of o(u) wrt u. 37 Let p(v) be the second derivative of 65*v**7/42 - v**3/6 - 506*v**2 - 382*v. What is the second derivative of p(l) w
{ "pile_set_name": "DM Mathematics" }
a - 48. Give d(-10). -938 Let v(j) = j**3 - j**2 + 188*j + 855. Calculate v(-5). -235 Let g(l) = 1045*l + 584300. Calculate g(-559). 145 Let d(b) = 10299*b + 288499. Calculate d(-28). 127 Let r(t) = -t**2 - 147*t - 2360. Give r(-19). 72 Let f(k) = 56199*k + 618187. What is f(-11)? -2 Let b(a) = -a**3 - 16*a**2 - 1051*a - 15547. Determine b(-15). -7 Let o(j) = -44*j**2 + 556*j + 19. Give o(13). -189 Let q(u) = 24*u**3 + 201*u**2 + 21*u + 15. Calculate q(-8). 423 Let w(y) = 642*y**2 - 49*y + 1. Calculate w(1). 594 Let k(t) = -8*t**2 - 40682*t + 571109. Give k(14). -7 Let g(r) = 31*r**2 - 294*r - 12643. Calculate g(-16). -3 Let w(j) = 3*j**3 + 27*j**2 - 131*j - 1107. Give w(-8). 133 Let h(w) = -20*w**2 - 1207*w - 8329. Give h(-7). -860 Let q(r) = -373*r - 39148. What is q(-105)? 17 Let v(k) = 4*k**3 + 78*k**2 + 47*k + 189. Give v(-19). 18 Let d(c) = 6334*c + 570049. Determine d(-90). -11 Let x(q) = q**3 + 152*q**2 + 163*q + 2188. What is x(-151)? 376 Let w(y) = -3789*y + 22738. Give w(6). 4 Let j(x) = -10339*x - 1002912. What is j(-97)? -29 Let y(m) = 2*m**3 - 45*m**2 - 258*m + 6583. Calculate y(21). -158 Let m(z) = -7*z**2 + 18*z - 158. Calculate m(0). -158 Let x(h) = -h**3 + 43*h**2 - 307*h - 796. What is x(33)? -37 Let w(d) = 899*d - 99176. Give w(111). 613 Let r(f) = 4*f**2 - 83*f - 475. Determine r(-7). 302 Let m(f) = -598*f - 2183. Calculate m(-3). -389 Let d(p) = p**3 + 22*p**2 + 75*p + 710. Determine d(-18). 656 Let b(a) = -15*a**3 + 16*a**2 - 28*a - 1. Give b(5). -1616 Let v(h) = -2*h**2 - 578*h + 4032. Give v(7). -112 Let v(u) = -6261*u - 507146. Calculate v(-81). -5 Let g(b) = 126*b**2 + 1309*b + 2993. What is g(-7)? 4 Let d(r) = -13*r**2 - 9455*r - 37613. Give d(-4). -1 Let k(u) = 298*u - 52060. Determine k(175). 90 Let w(b) = 12*b**2 + 124*b + 89. What is w(-10)? 49 Let f(v) = -5*v**2 - 613*v - 4556. Calculate f(-8). 28 Let f(t) = 22*t**2 + 82*t + 17. Calculate f(-1). -43 Let n(f) = -67*f**3 + 25*f**2 - 111*f - 135. What is n(-1)? 68 Let b(l) = -203*l**2 + 1094*l - 91. Determine b(6). -835 Let u(t) = -t**3 - 8*t**2 + 903*t + 13234. Calculate u(-21). 4 Let n(h) = -9316*h**2 + 83843*h - 9. What is n(9)? -18 Let o(c) = 5000*c + 38992. Give o(-8). -1008 Let u(y) = -78691*y - 33128913. Give u(-421). -2 Let b(z) = z**3 + 477*z**2 + 4209*z - 29. What is b(-9)? -2 Let b(v) = -2115*v - 12789. Determine b(-6). -99 Let u(c) = -2577*c - 987229. Give u(-383). -238 Let y(x) = -x**2 + 560*x + 10993. What is y(-19)? -8 Let a(l) = 3154*l + 104089. Determine a(-33). 7 Let o(g) = -190*g + 547. What is o(3)? -23 Let z(m) = 14*m**3 + 268*m**2 + 21*m + 239. What is z(-19)? 562 Let y(p) = -107*p**2 - 935*p + 251. Calculate y(-9). -1 Let s(r) = 78492*r - 1020445. Give s(13). -49 Let z(a) = -a**3 + 204*a**2 - 9505*a - 133. Determine z(133). -8379 Let x(s) = s**3 - 103*s**2 - 1115*s + 163. Determine x(-10). 13 Let r(q) = -149*q**3 + 79*q**2 - 169*q + 5. What is r(2)? -1209 Let v(m) = -48*m**2 + 6756*m + 1693. Determine v(141). 1 Let f(s) = -29*s**3 - 319*s**2 + 23*s + 173. Determine f(-11). -80 Let h(t) = 10184*t + 30578. Determine h(-3). 26 Let w(d) = 4*d**2 - 71*d + 66. Calculate w(13). -181 Let c(n) = -5*n**3 - 2096*n**2 + 41186*n + 6125. What is c(-438)? -7 Let h(d) = -d**3 + 6426*d**2 + 852284*d + 523. Determine h(-130). 3 Let f(i) = i**3 - 726*i**2 + 4447*i - 758. Give f(6). 4 Let y(h) = 34434*h + 23036338. Determine y(-669). -8 Let w(j) = -j**2 + 349*j - 28984. Give w(135). -94 Let l(a) = 62*a + 29006. Give l(-470). -134 Let j(t) = -2*t**3 - 367*t**2 + 14033*t - 1285. Determine j(-216). 227 Let f(n) = -2*n**2 + 153*n - 3231. Give f(36). -315 Let f(a) = a**3 - 117*a**2 + 1259*a + 1. Determine f(12). -11 Let h(q) = 137*q - 4755. Give h(40). 725 Let l(m) = -42970*m - 386721. Calculate l(-9). 9 Let s(t) = -24*t**3 + 24525*t**2 + 3070*t - 4082. What is s(1022)? 6 Let h(n) = n**2 + 8794*n + 17578. What is h(-2)? -6 Let j(v) = -82*v - 3852. What is j(-47)? 2 Let x(d) = d**3 - 46*d**2 + 946*d - 8518. Calculate x(20). 2 Let w(d) = -d**3 - 49*d**2 + 768*d + 2169. Give w(-61). -27 Let p(x) = 321*x - 17085. Calculate p(53). -72 Let q(v) = 2536*v**2 + 178*v - 178. What is q(1)? 2536 Let c(n) = n**3 - 405*n**2 + 21253*n + 4460. Determine c(343). 1 Let r(c) = -3415*c + 8090. What is r(3)? -2155 Let x(n) = 28*n**3 - 863*n**2 - 8925*n - 231. What is x(39)? 3 Let m(c) = -8883*c - 44948. Determine m(-5). -533 Let f(y) = -y**3 + 14*y**2 + 2164*y - 285. Calculate f(54). -69 Let v(m) = -1632*m**2 - 172978*m + 1478. Give v(-106). -6 Let r(j) = -3*j**3 + 31*j**2 - 329*j + 3213. Give r(10). 23 Let d(s) = s**3 + 55*s**2 + 94*s + 283. What is d(-54)? -1877 Let m(u) = -8*u**2 - 791*u - 6409. Give m(-8). -593 Let x(c) = -38498*c + 1924896. Determine x(50). -4 Let n(p) = -63*p**2 - 677*p - 971. Calculate n(-9). 19 Let d(h) = 4717*h + 33091. Determine d(-7). 72 Let y(i) = -4*i**2 - 220*i - 1428. Give y(-7). -84 Let v(c) = -25370*c - 228340. Give v(-9). -10 Let i(l) = 212754*l - 638294. Calculate i(3). -32 Let y(q) = -51*q**2 - 1188*q + 2575. Calculate y(2). -5 Let z(y) = y**2 + 2928*y + 81252. Calculate z(-28). 52 Let p(f) = -943*f - 1034. What is p(-2)? 852 Let f(y) = -493*y - 58651. Give f(-120). 509 Let c(m) = -151*m - 4758. Give c(-30). -228 Let p(v) = -175*v - 8607. What is p(-52)? 493 Let v(b) = -467*b**2 + 11673*b + 55. Calculate v(25). 5 Let t(g) = -259228*g + 2851483. Determine t(11). -25 Let z(v) = -31238*v - 747. Calculate z(0). -747 Let g(a) = 5685*a - 125190. Calculate g(22). -120 Let k(r) = 4*r**3 + 100*r**2 - 11*r - 172. Give k(-25). 103 Let c(d) = d**3 + 8*d**2 - 1447*d - 21751. Determine c(-32). -23 Let q(g) = 10846*g + 726652. Determine q(-67). -30 Let o(q) = 55*q**3 - 6*q**2 + 178*q + 369. Give o(-2). -451 Let f(x) = -x**3 - 3*x**2 - 17*x + 98. Determine f(-14). 2492 Let i(v) = -2226*v - 304195. Calculate i(-137). 767 Let p(z) = -275105*z + 6877627. Calculate p(25). 2 Let w(v) = 20*v**3 + 132*v**2 - 62*v - 55. Determine w(-7). -13 Let z(l) = -27*l**3 + 1087*l + 4338. Give z(-4). 1718 Let m(w) = -2*w**3 + 479*w**2 + 707*w + 3858. Calculate m(241). 2 Let x(v) = -v**3 - 94*v**2 + 10*v + 9579. Calculate x(-93). 0 Let m(s) = 48813*s + 97601. Give m(-2). -25 Let b(v) = -4*v**2 + 137*v + 7331. Determine b(-29). -6 Let b(r) = 1567*r**3 + 52*r - 53. Give b(1). 1566 Let d(h) = -1549*h + 2355. Give d(1). 806 Let w(u) = -u**3 + 14*u**2 - 162*u + 2274. Calculate w(14). 6 Let w(x) = 5*x**2 + 249*x + 273. Calculate w(-33). -2499 Let u(n) = -n**3 + 6*n**2 + 1941*n - 205. What is u(47)? 453 Let m(k) = k**3 - 119*k**2 - 243*k + 134. Calculate m(121). 13 Let t(z) = -1526*z - 32457. Calculate t(-21). -411 Let h(n) = -2*n**3 - 5*n**2 + 24*n + 273. Give h(-6). 381 Let x(m) = 738*m - 39065. Calculate x(53). 49 Let n(s) = -6*s**2 + 203*s + 2100. Give n(-9). -213 Let n(d) = -6*d**2 - 285*d - 671. What is n(-45)? 4 Let n(m) = 2*m**3 + 790*m**2 - 4027*m - 10772. Calculate n(-400). 28 Let z(h) = 2*h**3 - 72*h**2 + 545*h + 351. Give z(12). -21 Let p(z) = 2*z**2 + 170*z + 2416. Calculate p(-68). 104 Let r(d) = 63*d**3 + 2*d**2 + 43*d + 87. Give r(-2). -495 Let y(h) = -6840*h + 212005. Give y(31). -35 Let p(q) = -q**2 + 4706*q - 4708504. Give p(1443). 5 Let z(c) = -13*c**2 + 821*c - 1013. What is z(62)? -83 Let w(z) = 23*z**3 + 5053*z**2 - 1542*z - 444. Determine w(-220). -4 Let l(p) = 6*p**2 + 203*p + 1703. Determine l(-16). -9 Let g(c) = -1046*c - 3798. Calculate g(-6). 2478 Let m(j) = 394286*j + 3154303. Determine m(-8). 15 Let z(d) = d**3 + 20*d**2 - 122*d + 165. Give z(-25). 90 Let n(u) = -u**2 - 373*u + 10097. Give n(25). 147 Let y(q) = -40*q**2 - 768*q - 209. What is y(-19)? -57 Let y(z) = -3295197*z + 6590375. Calculate y(2). -19 Let p(h) = -35472*h - 29228920. What is p(-824)? 8 Let k(c) = 8408*c + 50241. Calculate k(-6). -207 Let w(o) = -44*o + 2257. What is w(59)? -339 Let n(p) = 3*p**2 + 7397*p + 197551. What is n(-27)? 19 Let z(f) = -51*f**2 + 10508*f - 10959. Calculate z(205). -94 Let h(z) = -8620*z + 1137867. Determine h(132). 27 Let j(p) = -p**2 - 102*p + 1387. Determine j(16). -501 Let f(c) = -2*c**2 - 13774*c + 304007. Give f(22). 11 Let u(a) = 1503*a - 41799. What is u(28)? 285 Let v(n) = 2*n**3 - 57*n**2 - 298*n. Calculate v(-4). 152 Let j(c) = 700*c**2 + 3573*c + 541.
{ "pile_set_name": "DM Mathematics" }
= -q**3 - q. Let t(n) = -n**3 - 3*n**2 + 2*n. Give -m(r) - t(r). 2*r**3 + 3*r**2 - r Let j(o) = -13*o**2 + 6*o - 3. Let v(g) = -g**2 - g. Let k(q) = 7*q**2 - 6*q + 2. Let d(n) = k(n) - 2*v(n). Determine 7*d(t) + 5*j(t). -2*t**2 + 2*t - 1 Let w(a) = -6*a**2 - 25*a - 5. Let i(s) = -5*s**2 - 24*s - 4. Give -4*i(y) + 3*w(y). 2*y**2 + 21*y + 1 Let q(k) = -13*k**3 + 7. Suppose -2*l + 4*x - 2 = 0, 2*l = -2*x - 0 + 22. Let r(z) = 9*z**3 - 5. What is l*r(h) + 5*q(h)? -2*h**3 Let m(u) = u**2 + 3*u - 5. Let b(z) = 2*z**2 + 7*z - 11. What is -4*b(k) + 9*m(k)? k**2 - k - 1 Let t(y) = -10*y - 8. Let a(p) = 9*p + 7. Determine -7*a(k) - 6*t(k). -3*k - 1 Let d(t) = -7*t + 6. Let i(j) = j**2 - 8*j + 7. Calculate 6*d(z) - 5*i(z). -5*z**2 - 2*z + 1 Let c(y) = 2*y**2 - 6*y. Let s(i) = -6*i - 3*i**2 + 2*i**2 + 10*i + 0*i**2. Determine -5*c(l) - 8*s(l). -2*l**2 - 2*l Let p(g) = -2*g**2 + 6*g + 6. Let w(u) = 6*u**2 - 17*u - 17. Let i = 18 + -12. Give i*w(j) + 17*p(j). 2*j**2 Let j(g) = 3*g**3 - 7*g**2 - 7*g - 5. Let l(b) = 4*b**3 - 11*b**2 - 11*b - 8. Calculate -8*j(p) + 5*l(p). -4*p**3 + p**2 + p Let j(k) = -k**3 + 7*k**2 - k + 7. Let w be j(7). Let d(t) = 2*t + w*t - 3*t. Let x(n) = n + 4*n + 6*n - 6*n. Determine -6*d(r) - x(r). r Let n(x) = 3*x**3 + 4*x**2 + 4*x - 4. Let c(w) = -21*w**3 - 27*w**2 - 27*w + 27. What is 4*c(d) + 27*n(d)? -3*d**3 Let z(j) = 2*j + 5. Let o(l) = 2*l + 6. Let d(t) = 4*o(t) - 5*z(t). Let q = 5 + -4. Let f(g) = 0 + q + 1 + 5*g. Calculate -8*d(i) - 3*f(i). i + 2 Let g(w) = -5*w. Let d(m) = 6*m. Determine 3*d(u) + 2*g(u). 8*u Let h(o) = 1. Let i(u) = -2*u + 3. Let b(z) = -z. Let d(n) = b(n) - i(n). Let k = -6 + 3. What is k*h(q) - d(q)? -q Let f(s) = 11*s**2 + 1. Let u(j) = -23*j**2 - j - 2. Let l(y) = -13*f(y) - 6*u(y). Let r(d) = 14*d**2 - 17*d + 3. Suppose 6*x = -6 + 42. Give x*r(a) + 17*l(a). -a**2 + 1 Let w(o) = 20*o**2 - 2*o - 4. Let r(m) = 20*m**2 - m - 3. Determine 4*r(h) - 3*w(h). 20*h**2 + 2*h Let u(n) = -5*n**2 + 17*n + 4. Let g(w) = w. Let p(c) = c**2 - 8*c - 1. Let v(z) = 4*g(z) + p(z). Calculate -2*u(d) - 9*v(d). d**2 + 2*d + 1 Let d(g) = -2*g**2 + 3*g - 3. Let s(v) = 8*v**2 - 11*v + 13. Calculate -9*d(j) - 2*s(j). 2*j**2 - 5*j + 1 Let m(w) = 2*w + 13. Let q(y) = y + 4. Calculate 3*m(c) - 8*q(c). -2*c + 7 Let q(s) = -15*s**3 + 7*s - 11. Let n be (1 - (-24)/(-2))*1. Let v(g) be the second derivative of 2*g**5/5 - 2*g**3/3 + 3*g**2 + 8*g. Determine n*v(h) - 6*q(h). 2*h**3 + 2*h Let u(g) = -g - 3. Suppose 0 = -4*k + b - 7, 5*k - 2*k + 3 = 3*b. Let v(z) = -1. Determine k*v(o) + u(o). -o - 1 Let j(u) = 6*u - 30. Let g(b) = 1. Determine 30*g(t) + j(t). 6*t Suppose -5*q + 0 + 40 = 0. Let x(u) = -3*u**2 + 5*u + 6. Let z(p) = -p**2 + 2*p + 2. Suppose -2*v - 8 = 4*a, 0*v - 5 = -a - 4*v. What is a*x(c) + q*z(c)? c**2 + c - 2 Let h(b) = -5*b**2 + 2*b. Let j(p) = -6*p**2 + 3*p. Suppose 3*q - 3*o = -18, o + 4*o = 3*q + 20. What is q*h(g) + 4*j(g)? g**2 + 2*g Let i(o) = 65*o + 7. Let j(d) = 32*d + 3. What is 3*i(x) - 7*j(x)? -29*x Let q(m) = 5*m**2 - 2*m. Let k be (-10 - -6)*(-63)/(-12). Let b(f) = 51*f**2 - 21*f. Calculate k*q(s) + 2*b(s). -3*s**2 Suppose 0*u - 5 = -u. Suppose 12 = -2*n + u*n. Let b(l) = l**3 + 6*l**2 + 4. Suppose -4*p - 5 = -1. Let j(a) = a**2 + 1. What is n*j(s) + p*b(s)? -s**3 - 2*s**2 Let x(o) = -o - 4*o - 4*o - 2*o. Let k(z) = -10*z. Give -6*k(a) + 5*x(a). 5*a Let r(f) = 3*f**2 - 5*f - 2. Let l(i) = -10*i**2 + 14*i + 7. Determine 2*l(j) + 7*r(j). j**2 - 7*j Let l(d) = -4*d**2 - 3*d + 10 + 12 - 22. Let i(r) = -r + 1. Let f(b) = -9*b**2 - 8*b + 1. Let v(a) = -f(a) + i(a). What is -7*l(s) - 3*v(s)? s**2 Let c(o) = 5*o**3 + 5*o + 5. Let f = -38 + 37. Let q(k) be the third derivative of k**6/120 + k**4/24 + k**3/6 + k**2. What is f*c(w) + 6*q(w)? w**3 + w + 1 Let m(k) = k**3 + 5*k - 5. Let h(a) = -a**3 - 7*a + 7. Suppose 6*u = 11*u + 25. Calculate u*h(g) - 7*m(g). -2*g**3 Let c(z) = -4*z**3 - 11*z**2 - 11. Let i(j) = j**3 + 2*j**2 + 2. Let r(b) = -2*b + 26. Let w be r(14). Calculate w*c(m) - 11*i(m). -3*m**3 Let q(m) = -m**2 + 4*m + 2. Let c(f) be the second derivative of -f**4/12 + 7*f**3/6 + 2*f**2 + 14*f. Give 3*c(p) - 5*q(p). 2*p**2 + p + 2 Let q(b) = 13*b**2 - 3. Let o(l) = -25*l**2 + 5. What is 6*o(u) + 10*q(u)? -20*u**2 Let v(d) = -3*d**2. Let f(i) = 2*i**2. Let g = 26 - 22. Calculate g*f(j) + 3*v(j). -j**2 Let a(w) = 2 - 9*w + 0 - 15. Let u(c) = -5*c - 7. Calculate 4*a(k) - 7*u(k). -k - 3 Let o(t) = -3*t**2 + 5*t. Let l(u) = 4*u - 4*u**2 + u - 2*u + 3*u. Give 4*l(p) - 5*o(p). -p**2 - p Let j(f) = -3*f**2 + f. Let s(b) = -13*b**2 + 4*b. Calculate 9*j(w) - 2*s(w). -w**2 + w Let b(q) = 8*q**3 + 3*q**2 - 3*q - 3. Let c(x) = 24*x**3 + 8*x**2 - 8*x - 8. What is 8*b(n) - 3*c(n)? -8*n**3 Let o(r) = -7*r**2 + 5. Let g(h) = 4*h**2 - 3*h - 4. Let n(q) = -q**2 + q + 1. Let f(t) = -g(t) - 3*n(t). What is -5*f(l) + o(l)? -2*l**2 Let y be (-1 - 0)*(2 - 0). Let j(u) = -u**3 - 34*u**2 - 1 - 36*u**2 + 71*u**2 - u. Let n(h) = h**3 - 2*h**2 + 2. What is y*j(m) - n(m)? m**3 + 2*m Let r(l) = -55*l**3 + 65*l. Suppose 3*j - 24 = -4*v + 5*j, 0 = 3*j. Let c(d) = -5*d**3 + 6*d. Calculate v*r(o) - 65*c(o). -5*o**3 Let j(x) = x - 3. Let m(s) = 1. What is -j(n) - 2*m(n)? -n + 1 Let t(x) = -2*x. Let i(n) = -n. Give 2*i(v) + t(v). -4*v Let b(x) = -40*x**3 + 11*x**2 + 11*x - 11. Let t(a) = -13*a**3 + 4*a**2 + 4*a - 4. Give 4*b(s) - 11*t(s). -17*s**3 Let z(b) = b**2 + 7*b + 7. Suppose w + 77 = 83. Let a(h) = -h**2 - 6*h - h**2 + h**2 - 6. Let q = 8 - 1. Give q*a(r) + w*z(r). -r**2 Let x(a) = -2*a**2 + 4*a. Let k(q) = 5*q**2 - 12*q. What is -4*k(d) - 11*x(d)? 2*d**2 + 4*d Let m(g) = -g + 1. Let l(i) = 1. Determine -4*l(n) + m(n). -n - 3 Let z be (6 + -9)*2/(-6). Let o(k) be the first derivative of -z - 4/3*k**3 + 0*k + 5/2*k**2. Let s(a) = -2*a**2 + 2*a. What is 2*o(r) - 5*s(r)? 2*r**2 Let g(c) = -17*c**3 - 5*c**2 + 2*c. Let x(n) = 9*n**3 + 3*n**2 - n. Give 3*g(z) + 5*x(z). -6*z**3 + z Let o(p) = 12*p**3 - 3*p**2 + p + 5. Let y(i) = -12*i**3 + 2*i**2 - i - 4. What is 4*o(m) + 5*y(m)? -12*m**3 - 2*m**2 - m Let y(q) = q**2 - q + 1. Let k(a) = a**3 - 3*a**2 - 78*a - 3. Determine k(x) + 3*y(x). x**3 - 81*x Let c(z) = -2*z - 9. Let d be c(-9). Let i be (-2)/(-3)*d/3. Let f(v) = -v**3 + 2*v**2 + 1. Let u(w) = -3*w**3 + 5*w**2 - w + 3. What is i*u(o) - 5*f(o)? -o**3 - 2*o + 1 Let h(x) = 2*x. Let v(n) = -n. What is -6*h(t) - 7*v(t)? -5*t Let a(n) = -4*n**2 - 6*n + 15. Let w(l) = 4*l**2 + 5*l - 14. Let y(z) = -5*a(z) - 6*w(z). Let i(s) = -2*s**2 + 4. Calculate -7*i(v) + 3*y(v). 2*v**2 - 1 Let j(q) be the second derivative of 0 + 2*q + 1/2*q**3 - 3/2*q**2 + 0*q**4 + 1/20*q**5. Let v(u) = 2*u**3 + 7*u - 7. Determine 14*j(l) - 6*v(l). 2*l**3 Let a = 15 + -9. Let p(b) = 2*b - 8. Let f(y) = 4*y - 15. Give a*f(z) - 11*p(z). 2*z - 2 Let v(d) = d**2 - d. Suppose 2*t - 4 = -2*t. Let c(j) = 8*j**2 - 6*j. Determine t*c(x) - 6*v(x). 2*x**2 Let b = -13 + 7. Let p(g) = 6*g**2 + 5. Let f(o) = 7*o**2 + 6. Let w(r) = 5*f(r) - 6*p(r). Let i(h) = -3*h**2. What is b*i(v) + 17*w(v)? v**2 Let v(k) = 14*k**2 + 6*k + 5. Let z(o) = -9*o**2 - 4*o - 3. Let d be 12 + -11 + 1 + 6. Calculate d*z(c) + 5*v(c). -2*c**2 - 2*c + 1 Let u(f) = -9*f**3 + 7*f**2 + 5*f + 2. Let x(a) be the third derivative of -7*a**6/60 + 11*a**5/60 + a**4/3 + a**3/2 - 2*a**2 + 14*a. Give -8*u(j) + 5*x(j). 2*j**3 - j**2 - 1 Let y(s) = -5 + 5 - 2*s - 74*s**3 + 77*s**3 - 3*s**2. Let w(m) = -4*m**3 + 4*m**2 + 3*m. What is -4*w(f) - 5*y(f)? f**3 - f**2 - 2*f Let y(p) = -4*p**2 - 1. Let f(u) = 3*u**2 + 1. Suppose 3*t - 1 = 17. Let v(a) = t*f(a) + 5*y(a). Let b(g) = 2*g**2 - g - 2. Determine -2*b(o) - 3*v(o). 2*o**2 + 2*o + 1 Let p(d) = d**2 - d**2 - d**2 - 1 + d. Let s(j) be the second derivative of 1/6*j**4 - 3*j + j**2 - 5/6*j**3 + 0. Calculate -3*p(g) - s(g). g**2 + 2*g + 1 Let r(o) = -1 + 5*o + 3*o + o**2 + o**3 - 8*o. Let h(b) = -6*b**3 - 2*b**2 + 2. Give -h(f) - 4*r(f). 2*f**3 - 2*f**2 + 2 Let c(j) = -7*j**2 + 7*j + 2. Let d(r) = -15*r**2 + 15*r + 4. Calculate -13*c(n) + 6*d(n). n**2 - n - 2 Let c(v) = 2*v - 1. Suppose 6*q - 12 = 2*q + 3*a, -4*q + 4*a + 12 = 0. Suppose 0 = -2*g + 5*u + 4, -u + 4 = 2*g - q*u. Let r(i) = i. What is g*c(s) - 6*r(s)? -2*s - 2 Let c(g) = -6*g. Let q(d) = d + 1. Calculate -c(v) - 4*
{ "pile_set_name": "DM Mathematics" }
**2 + 81*l Collect the terms in -101990*l - 8197 + 1206*l + 8197. -100784*l Collect the terms in -132*w**3 + 3249 - 6508 + 3261. -132*w**3 + 2 Collect the terms in c + 1922360 - c**3 - c + 0*c - 1922719. -c**3 - 359 Collect the terms in 5888 + 17*j**2 - 2950 + 54*j**2 - 2938. 71*j**2 Collect the terms in 43314*p + 17651*p + 64029*p. 124994*p Collect the terms in 262 - 126 + 14497*z + 449*z - 136. 14946*z Collect the terms in 45*k - 25*k**2 + 59*k**2 - 20*k**2 - 6*k**2 - 28*k. 8*k**2 + 17*k Collect the terms in 2414 + 109*u - 2412 + 12*u + 56*u. 177*u + 2 Collect the terms in 21840*v**3 + 2*v - 4768*v**3 - 2*v - 17071*v**3. v**3 Collect the terms in -6 + 20 - 14 + 699202*d. 699202*d Collect the terms in -374209*n**2 + 122025*n**2 - 105430*n**2. -357614*n**2 Collect the terms in -43*g + 67*g + 13*g - g. 36*g Collect the terms in 57126443*o - 171379324*o + 57126443*o + 57126434*o. -4*o Collect the terms in -625*q**3 + 313*q - 313*q - 652*q**3 + 1309*q**3. 32*q**3 Collect the terms in -1 + 3 + 9 + 6 - 21 + 75027*c. 75027*c - 4 Collect the terms in -2958 + 2959 + 40*m**3 - m - 19*m**3. 21*m**3 - m + 1 Collect the terms in -13*m - 63*m - 51*m + 115*m - 32*m. -44*m Collect the terms in 4 - 5639557*c + 2819768*c - 4 + 2819765*c. -24*c Collect the terms in -22*m**2 - 15*m**2 - 56*m - 67*m + 46*m**2 + 123*m. 9*m**2 Collect the terms in -554*c**2 + 1681*c**2 - 547*c**2 - 573*c**2. 7*c**2 Collect the terms in -4*f**2 + 6812 - 3228 + f - 3584. -4*f**2 + f Collect the terms in 3888*w - 11 - 10 + 22 - 3870*w. 18*w + 1 Collect the terms in -v - 8*v - 2776*v**3 + 8*v + v. -2776*v**3 Collect the terms in 102*p - 325*p + 2 + 137*p + 147*p + 34*p**2. 34*p**2 + 61*p + 2 Collect the terms in 3 + 806*m**3 - 808*m**3 - 2 - 1. -2*m**3 Collect the terms in 18 - 18 + 3754*f + 694*f + 298*f. 4746*f Collect the terms in -2 - 52333*d + 102777*d - 51492*d. -1048*d - 2 Collect the terms in -3744*b + 10132 + 7426*b - 5066 - 7*b**2 - 5066 - 3682*b. -7*b**2 Collect the terms in -2 + 2 + 32227948*y**2 - 32227941*y**2. 7*y**2 Collect the terms in -1375*i - 1382*i - 1384*i + 5527*i - 1380*i. 6*i Collect the terms in -2 + 2 + 12752*h**2 - 25519*h**2 + 12771*h**2. 4*h**2 Collect the terms in 165*i**3 - 210*i + 210*i - 7208 + 7208. 165*i**3 Collect the terms in -1838*v**3 - 725*v**3 + 464*v**3 - 2361*v**3 - 34. -4460*v**3 - 34 Collect the terms in -47438*d**3 + 11775*d**3 - 70245*d**3. -105908*d**3 Collect the terms in 45 - 116 + 55 + 63 + 25*h**3 - 22*h**3. 3*h**3 + 47 Collect the terms in 591*f**2 - 284*f**2 - 627*f**2. -320*f**2 Collect the terms in -59294*u**2 - 59289*u**2 + u**3 - 2555*u + 118583*u**2. u**3 - 2555*u Collect the terms in -6296*v - 6274*v + v**2 - 6280*v + 18832*v. v**2 - 18*v Collect the terms in -93*b - 203*b - 11417*b - 2894*b + 431*b. -14176*b Collect the terms in -6*w + 2*w - 133 + 7*w - 2*w + w - 317. 2*w - 450 Collect the terms in -109 + 3*d - 112 + 119. 3*d - 102 Collect the terms in 1 - 1756*c - 1 - 149*c**3 + 1809*c - 194*c**3. -343*c**3 + 53*c Collect the terms in -2 + 810705*k + 4 - 810707*k + 8. -2*k + 10 Collect the terms in 2675*n + 2142*n + 2613*n - 8672*n. -1242*n Collect the terms in 2*p**2 - 15*p**2 + 0*p**2 + 23*p**2 + 159 - 159 + 8*p**2. 18*p**2 Collect the terms in -3*b**2 - 93 + 328*b**3 + 2*b + 2*b**2 - b**2 - 23. 328*b**3 - 2*b**2 + 2*b - 116 Collect the terms in -6114 - 6126 + 18370 - 6130 - 2*w**3. -2*w**3 Collect the terms in 15*j**2 + 28*j**2 + 22*j**2 + 5*j**2 - 51*j**2 + 27*j**2 - 13*j**2. 33*j**2 Collect the terms in 8382*s - 14773*s - 8453*s. -14844*s Collect the terms in -254322 + 127172 + 171*k + 538*k + 127150. 709*k Collect the terms in -10962*o + 4*o**2 - 11936*o + 34817*o - 11919*o. 4*o**2 Collect the terms in 32886*q**3 - 16412*q**3 - 16469*q**3 - q**2 + q**2. 5*q**3 Collect the terms in -24*p**2 + 45*p**2 - 77 - 26*p**2 + 63. -5*p**2 - 14 Collect the terms in 0*d - 19*d + 14*d + 30. -5*d + 30 Collect the terms in -1590*v - 1734*v + 3196*v. -128*v Collect the terms in -1029*r - 2934 + 5977 - 3041. -1029*r + 2 Collect the terms in 27*g**2 - 22*g**2 - 2*g**2 + 2*g**2 + 3*g**2 - 2*g**2 + g**2. 7*g**2 Collect the terms in 11*a**2 + 7*a**2 - 17287*a - 17328*a + 51943*a - 17328*a. 18*a**2 Collect the terms in -2*x - 26437605*x**3 + 26447164*x**3 + 2*x. 9559*x**3 Collect the terms in 5216 + 3*q + 5632 + 5826 - 16674. 3*q Collect the terms in 7652*l**2 + 7640*l**2 - 22898*l**2 + 7584*l**2. -22*l**2 Collect the terms in -3 + 3661*x - 2761*x - 1. 900*x - 4 Collect the terms in -4160*j**2 - 7499*j**2 - 12483*j**2. -24142*j**2 Collect the terms in 7963*v + 7924*v + 7923*v - 31741*v + 7925*v. -6*v Collect the terms in 1252*a + 468 - 2*a**2 - 2740*a - 236 - 228 - 1445*a. -2*a**2 - 2933*a + 4 Collect the terms in 2*z + 2*z**2 - 62*z**3 + 494*z**3 + 145*z**3. 577*z**3 + 2*z**2 + 2*z Collect the terms in -18 + 7*x - 39 + 91*x. 98*x - 57 Collect the terms in -22*s + 22*s - 10738786*s**2. -10738786*s**2 Collect the terms in 712*d**2 + 313369*d**3 - 69*d**2 + 1403*d**2 - 366*d**2 - 313370*d**3. -d**3 + 1680*d**2 Collect the terms in 78 - 78 + 2913406*l. 2913406*l Collect the terms in 9 - 2 - 62*x**3 - 26*x**3 - 90*x**3 - 4*x. -178*x**3 - 4*x + 7 Collect the terms in 404*x - 151973*x**3 - 3*x**2 + 0*x**2 + x**2 + 3*x**2 + 151972*x**3. -x**3 + x**2 + 404*x Collect the terms in 64*c**2 - 35*c**2 - 313*c**2. -284*c**2 Collect the terms in 905*a + 111 + 174 + 778*a + 758*a. 2441*a + 285 Collect the terms in 976*q + 8193*q + 894*q + 5236*q. 15299*q Collect the terms in 0*j**3 + 173323741*j + 3*j**3 - 5*j**3 - 173323741*j + 0*j**3. -2*j**3 Collect the terms in -40 + 285*m**2 + 307*m**2 + 311*m**2 - 927*m**2. -24*m**2 - 40 Collect the terms in -371*w**3 + 142*w**2 - 1005*w**3 - 67*w**2 - 75*w**2. -1376*w**3 Collect the terms in 1403*n + 3 - 229*n**3 + 1144*n**3 - 3 - 913*n**3 - 1403*n. 2*n**3 Collect the terms in 82*d**3 - 79*d**3 - 1847*d**2 - 1427*d**2 + 3274*d**2. 3*d**3 Collect the terms in 1471*h + 415763 - 415763. 1471*h Collect the terms in -16457 - 140968*t**3 + 16457. -140968*t**3 Collect the terms in 13205*h**2 - 26984*h**2 + 13804*h**2. 25*h**2 Collect the terms in 34*n + 24465*n**3 - 6*n - 14*n - 14*n. 24465*n**3 Collect the terms in 0 - 5293*j**2 - 13563*j**2 + 18842*j**2 + 0. -14*j**2 Collect the terms in 0*h - 1556 + h - 1620 + 4794 - 1618. h Collect the terms in 392201021993 - 7*i**3 - 392201021993. -7*i**3 Collect the terms in 19*a**3 + 433*a**2 + 6*a - 57*a**3 + 470*a**2 - 6*a. -38*a**3 + 903*a**2 Collect the terms in -1385 - 47*w**2 + 14635 + 19*w**2 - 16*w**2. -44*w**2 + 13250 Collect the terms in -56 - 58 - 137 + 27*q + 469*q. 496*q - 251 Collect the terms in 103 - 103 + 20513*r**2 - 4189*r**2. 16324*r**2 Collect the terms in 43024*n**3 - 86046*n**3 + 43028*n**3. 6*n**3 Collect the terms in 349*u**3 - 59*u - 290*u**3 + 8 - 6 - 2. 59*u**3 - 59*u Collect the terms in -84*p - 17197 + 34395 - 17197. -84*p + 1 Collect the terms in 33673648*p**3 - 16836883*p**3 - 16836764*p**3. p**3 Collect the terms in -7*g + g + 703240*g**2 + 6*g. 703240*g**2 Collect the terms in -8044 + 8044 + 2*h**3 - 3*h**3. -h**3 Collect the terms in -8538710*v**2 + 2846256*v**2 + 2846235*v**2 + 2846236*v**2. 17*v**2 Collect the terms in -394*g**3 + 1238*g + 381*g**3 - 1238*g. -13*g**3 Collect the terms in -1477*i**2 + 5650169 - 11300363 + 5650194. -1477*i**2 Collect the terms in -50510 + 79*c + 25248 + 592*c + 25262. 671*c Collect the terms in 5147*n**2 + 5136*n**2 + 5135*n**2 + 2*n - 15416*n**2. 2*n**2 + 2*n Collect the terms in 142673 + 142257 - 427603 + 3*t**3 + 0*t**3 + 142673. 3*t**3 Collect the terms in 54*b**2 + 49*b**2 - 117*b**2 + 46*b**2 - 37*b**2 - 69*b**3. -69*b**3 - 5*b**2 Collect the terms in 1610*p - 1610*p + 33*p**3 + 1611*p**2 - 1611*p**2. 33*p**3 Collect the terms in -34*m - 33067018*m**2 + 66134044*m**2 - 33067028*m**2. -2*m**2 - 34*m Collect the terms in -o**2 - 104562*o**3 + 0*o**2 + o**2 - 105519*o**3 + 210075*o**3. -6*o**3 Collect the terms in -1 + 1 - 56119*w + 23044*w. -33075*w Collect the terms in -2395*j + 737*j**2 - 4 + 2378*j - 733*j**2. 4*j**2 - 17*j - 4 Collect the terms in -50752 + 385*l + 101251 - 50499. 385*l Collect the terms in -836*u**3 + 220*u**2 + 1689*u**3 - 851*u**3 + 308*u**2. 2*u**3 + 528*u**2 Collect the terms in 15
{ "pile_set_name": "DM Mathematics" }
308 + -284. Suppose -b + 13 = 11*i. Let o(n) = -2*n**3 + 2*n**2 - 4*n + 3. Let x(y) = y**2 - y. Determine i*o(a) + 4*x(a). 2*a**3 + 2*a**2 - 3 Let o(a) = -9 + 15*a - 2 + 11 - 3*a. Let j(x) be the second derivative of 35*x**3/6 + 11*x. What is 3*j(r) - 8*o(r)? 9*r Let n(z) = -11*z**2 + 29*z - 6. Suppose -63 = -10*f - 21 - 12. Let a(x) = 4*x**2 - 10*x + 2. Determine f*n(i) + 8*a(i). -i**2 + 7*i - 2 Let w(x) be the second derivative of x**3/6 - x**2/2 - 264*x. Let c(l) = 11*l - 6. Let p be 10/4*24/10. Give p*w(j) - c(j). -5*j Let s(a) = 10*a**2 - 1. Let q = -4128 + 4130. Let u(l) = l**2 - 1. Give q*u(g) - 2*s(g). -18*g**2 Let n(f) be the first derivative of -2*f**3/3 + f**2 + 4*f + 505. Let i(k) = -k**2 - 1. Determine 3*i(r) + n(r). -5*r**2 + 2*r + 1 Let u be 2/(-7) + (-10)/(-35). Let o(z) = -2 + 5*z + u - 4*z. Let x(j) = -10 - 1 + 2*j + 3 + 2 + 1. Calculate 5*o(k) - 2*x(k). k Let o(h) = 2*h**2 + 5*h + 2. Let w(i) = -48*i**2 + 36*i + 18. Let c(q) = 26*q**2 - 20*q - 10. Let k(p) = -11*c(p) - 6*w(p). Calculate 4*k(x) - 3*o(x). 2*x**2 + x + 2 Let g(i) = -2*i**2 + 7*i + 2. Let s(j) = j + 1. Suppose t + 97 = b, 0*t + 4*b + 102 = -t. Let k be 1/(-7) - (-378)/t - -6. Determine k*s(f) - g(f). 2*f**2 - 5*f Let p(f) = 3*f**2 - f + 4. Let s(o) = 372 - 198 - 173 + o**2. What is -p(h) + s(h)? -2*h**2 + h - 3 Let i(l) = -5*l**3 + 25*l**2 - 158. Let n(d) = -16*d**3 + 70*d**2 - 476. Calculate -14*i(k) + 5*n(k). -10*k**3 - 168 Let a(h) = -22*h**2 - 24*h - 17. Let n(q) = 12*q**2 + 11*q + 8. What is -6*a(t) - 13*n(t)? -24*t**2 + t - 2 Let v = -646 + 647. Let t(c) = -c**2 + 1. Let p(i) = 5*i**2 + i + 1. Determine v*p(y) + 2*t(y). 3*y**2 + y + 3 Suppose -21 = -499*r + 501*r - 5*q, -2*r - 3*q - 77 = 0. Let g(a) = 8*a**2 + 14. Let x(s) = -s**2 - 1. What is r*x(o) - 2*g(o)? 12*o**2 Let n(f) = -379*f**2 - 15. Let g(q) = 335036*q**2 + 13265. Determine -3*g(v) - 2653*n(v). 379*v**2 Let n(w) = 13*w**2 - 35*w - 49. Let q(j) = 3*j**2 - 8*j - 12. What is -2*n(u) + 9*q(u)? u**2 - 2*u - 10 Let p(a) = 45557*a**2 + 5*a - 22783*a**2 + 33*a - 6 - 22782*a**2. Let h(n) = -7*n**2 + 37*n - 5. Calculate 6*h(s) - 5*p(s). -2*s**2 + 32*s Let i(y) = 1501*y - 304. Let l(h) = 2*h + 51. Give -i(m) - 6*l(m). -1513*m - 2 Let v(l) = -l**2 - 58*l + 18. Let m(y) = -6*y**2 - 286*y + 84. Calculate 3*m(d) - 14*v(d). -4*d**2 - 46*d Let d(s) = -s**2 + 1. Let z(u) be the second derivative of 11*u**3/6 + 2*u**2 - 2325*u. Give 2*d(b) - z(b). -2*b**2 - 11*b - 2 Let h(b) = -5*b. Let w(u) = 2*u. Let r(a) = 3*a + 5. Let q(c) = c + 1. Let n(k) = 11*q(k) - 2*r(k). Let v(z) = -n(z) + 5*w(z). Determine 2*h(m) + 3*v(m). 5*m - 3 Let g(i) = -349*i**3 + 5*i**2 + 14*i + 3. Let m(s) = -523*s**3 + 7*s**2 + 20*s + 4. Calculate 7*g(t) - 5*m(t). 172*t**3 - 2*t + 1 Let t(q) = 2*q. Let p = -1 - 0. Let b(j) be the second derivative of 1/2*j**2 - 1/6*j**3 + 0 - 14*j. Calculate p*t(o) - b(o). -o - 1 Let z(d) = -d**3 - 1. Let c(f) = -220*f**3 - 264. Let w = 9687 + -9688. Calculate w*c(u) + 264*z(u). -44*u**3 Let w(p) = p**2 - 18*p - 138. Let n be w(-10). Suppose 4*c - 146 = -n. Let v(l) = -10*l + 16. Let j(z) = -z + 1. Determine c*v(t) - 8*j(t). -2*t + 8 Suppose m = -5*z + 17, 0 = -3*m - 5*z + 3*z + 12. Let t(w) = w**2 - 2 - 22*w + 23*w + 4*w**m + 0. Let g(h) = 9*h**2 + 3*h - 5. Give 2*g(a) - 5*t(a). -7*a**2 + a Let j(v) = -2*v**3 + 4*v**2 + v + 1. Let x(u) = -188*u**3 + 10*u**2 + 2*u + 6. Determine 3*j(i) - x(i). 182*i**3 + 2*i**2 + i - 3 Suppose -5*h + 432 = 2*b, -h = -0*b + 2*b - 416. Let x = b + -199. Let n(u) = 12*u. Let k(f) = -4*f. Let m be 8/36 - (-16)/9. What is m*n(w) + x*k(w)? -4*w Let h(p) = 9078*p - 72. Let d(b) = -3025*b + 26. What is 11*d(n) + 4*h(n)? 3037*n - 2 Let i(u) = u**3 - u - 1. Let a(b) = 3*b**3 + b - 5. Suppose 0 = -11*j + 17 + 38. What is j*i(x) - a(x)? 2*x**3 - 6*x Let x(j) = 25*j**2 + 25*j. Let q(l) = 41*l - 35. Let h(o) = -47*o + 40. Let f(d) = -7*h(d) - 8*q(d). Give 25*f(p) - x(p). -25*p**2 Let d(c) = -11*c**2 + 90*c - 315. Let g(i) = -6*i**2 + 54*i - 157. Calculate -3*d(r) + 5*g(r). 3*r**2 + 160 Let m(a) = -1475*a**2 - 200. Let y(o) = 3 - 14*o + 11*o + 8*o - 5*o + 22*o**2. Calculate 3*m(i) + 200*y(i). -25*i**2 Let x(n) = 6*n**3 + 6*n**2 + 5*n + 5. Let t = -180 - -190. Suppose -y + t = y. Let h(f) = -5*f**3 - 5*f**2 - 4*f - 4. Determine y*h(a) + 4*x(a). -a**3 - a**2 Let d(y) = 5*y**2 - 7*y - 2. Let v(o) = -5 - 3 + 15 + o**2 - 5 + 6*o - 5*o**2. What is -5*d(u) - 6*v(u)? -u**2 - u - 2 Let u(s) = s**2 - 241*s - 484. Let j be u(-2). Let q(i) = 6*i - 3. Let p(d) = 12*d - 5. What is j*p(f) - 5*q(f)? -6*f + 5 Let n(s) = s. Let k(c) = 42*c - 6 - 2*c**2 + 73*c - 116*c. Calculate k(v) + 6*n(v). -2*v**2 + 5*v - 6 Let o(f) = -379560*f**3 + 285*f**2 - 285*f - 285. Let c(j) = 2673*j**3 - 2*j**2 + 2*j + 2. Give -285*c(n) - 2*o(n). -2685*n**3 Let i = 571 + -577. Let f(k) = 1. Let v(q) = -q**2 - 8*q - 7. Determine i*f(h) - v(h). h**2 + 8*h + 1 Let u(x) = 172*x - 1. Let o(q) = -2*q + 4. Calculate -o(n) - u(n). -170*n - 3 Let y(a) = -1823*a - 45. Let z(r) = -3647*r - 81. Give 18*y(b) - 10*z(b). 3656*b Let f be (2 - -49) + -1 - (-17)/(23 + -6). Let a(g) = -3*g**2 + 2*g. Let l(m) = -25*m**2 + 17*m. Give f*a(n) - 6*l(n). -3*n**2 Let n(s) = -158*s**3 + 26*s**2 + 6*s + 2. Let h(u) = -476*u**3 + 79*u**2 + 21*u + 7. Calculate 2*h(b) - 7*n(b). 154*b**3 - 24*b**2 Let r(k) = k**3 - 55*k**2 - 5*k + 279. Let p be r(55). Let q(c) = 7*c + 8. Let y(u) = 6*u + 7. Give p*q(g) - 5*y(g). -2*g - 3 Let x(k) = 13*k - 1105. Let a(d) = 10*d - 1105. Calculate 4*a(i) - 3*x(i). i - 1105 Let p(h) = -5*h + 2508. Let q(a) = -6*a + 2524. Give -4*p(c) + 3*q(c). 2*c - 2460 Let u(z) = -55*z**2 + 21*z + 70. Let h(t) = 2*t**2 - 2*t - 6. What is 11*h(o) + u(o)? -33*o**2 - o + 4 Let y(l) = -4*l**2 - 5*l + 3. Let u = 5 + -8. Let w(q) be the first derivative of -7*q**2 - 11/3*q**3 - 453 + 8*q. What is u*w(a) + 8*y(a)? a**2 + 2*a Let i(y) = 8*y - 2. Let w(n) = 21*n - 447. Let o(s) = -2*s + 30. Let l(p) = 15*o(p) + w(p). Give 4*i(g) + 3*l(g). 5*g + 1 Let h(x) = -507*x + 63. Let u(y) = 253*y - 35. Calculate 4*h(b) + 7*u(b). -257*b + 7 Let g(f) = -21*f + 8. Let a(o) = 4 + 8*o + 1 - 19*o - 4 + 3. Calculate 11*a(k) - 6*g(k). 5*k - 4 Let o(a) = 4*a - 4. Let r be (0 + 2)*3 - (-1073 + 1085). Let n(x) = -9*x + 7. Calculate r*n(d) - 14*o(d). -2*d + 14 Let p(v) = 3*v**3 + 2*v**2 - 2. Suppose 5*q - 10 = 7*q + 2. Let j(b) = 21*b**3 + 15*b**2 - 15. Give q*j(f) + 45*p(f). 9*f**3 Let y(l) = l**2 + 1. Let k(g) = -g**3 - 4*g**2 + 4*g - 3. Suppose 2840*n = 2842*n + v + 10, 3*v = 2*n + 2. Give n*y(p) - k(p). p**3 - 4*p - 1 Let d(u) = 5*u**3 + 25*u. Let p(f) = 10*f**3 - 6*f**2 + 12*f - 6. Let s(t) = -t**3 + t**2 + 2*t + 1. Let m(g) = p(g) + 6*s(g). What is 5*d(v) - 6*m(v)? v**3 - 19*v Let w(h) = h**2 - 16*h - 1. Let a(j) = 13*j + 760. Let z be a(-59). Let t(y) = -5*y. What is z*t(p) + 2*w(p)? 2*p**2 + 3*p - 2 Let c be ((-28)/12)/(12*112/1152). Let k(l) = -21*l**3 - 6*l**2 - 16*l - 16. Let o(w) = -4*w**3 - w**2 - 3*w - 3. Determine c*k(g) + 11*o(g). -2*g**3 + g**2 - g - 1 Let x(w) = 343*w - 249. Let s(p) = -121*p + 83. Determine 17*s(a) + 6*x(a). a - 83 Let q(u) = -4*u**3 - 3*u**2 - u + 5. Let h(s) = s**2 - 1. Suppose -4*x - 1 = 4*n - x, -1 = -5*n - 3*x. Let f be (0 + -1)*-5 - n. Determine f*h(o) + q(o). -4*o**3 - o + 2 Let u be 38 - (-2 - -1)/((-6)/12). Let a(o) = -o**2 + 37*o - 40. Let h be a(u). Let w(g) = 3*g**2 - 3. Let n(v) = 13*v**2 - 13. Give h*n(l) + 18*w(l). 2*l**2 - 2 Let j be 2/(3/(-18)*3). Let g be (-2)/(j/2)*2. Let a(x) be the first derivative of x**2/2 + x + 13. Let b(h) = -h - 3. Calculate g*b(t) + 6*a(t). 4*t Let q(m) = 1. Let v be 82/6 + (-1)/(-3). Let c(o) = -o + 3. Let s(h) = -72*h**2 - 4*h + 1. Let f be s(-2). Let a = f - -275. Give a*c(r) + v*q(r). 4*r + 2 Let f(n) = -1475*n. Let d(k) = -2907226*k. Give 3*d(p) - 5912*f(p). -1478*p Let m(x) = x - 3. Let u be m(-3). Let c(n) = -17*n + 341. Let a(j) = -3*j + 62. Let g(h) = -11*a(h) + 2*c(h). Let p(z) = -3*z**2 - 3*z. What is u*g(r) + 2*p(r)? -6*r**2 Let v(s) = -54*s + 325. Let f(y) = 53*y - 304. Calculate 15*f(i) + 14*v(i). 39*i - 10 Let h(f) = 58*f**2 + 5*f + 113. Let q(a) = 19*a**2 + 2*a + 34. Calculate -3*h(v) + 10*q(v). 16*v**2 + 5*v + 1 Let r(k) = 70*k**2 - 50*k + 50. Let z(v) = -18*v**2 - 236 + 17*v**2
{ "pile_set_name": "DM Mathematics" }
+ 3*a**2 + 1 + 0. What is n(l(i))? 4*i**2 Let g(h) = -8412*h. Let z(x) = 3*x. Calculate z(g(c)). -25236*c Let y(u) = -4*u. Suppose 3*q - 85 = 2*i - 29, -2*i = 5*q - 72. Let t be 3 - -4*(-4)/q. Let g(f) = 7*f**2 - f**t - 2*f**2. Calculate y(g(b)). -16*b**2 Suppose 4 = 2*s - 0. Let h(x) = -s*x + 320 - 320. Let o(f) = -21*f**2. What is h(o(d))? 42*d**2 Let n(c) = -6237*c**2. Let z(h) = -59*h**2. Give n(z(o)). -21710997*o**4 Let q(p) = 391 - 391 - 364*p + 407*p - 858*p. Let z(v) = -v**2. What is q(z(j))? 815*j**2 Let s(n) = n**2 + 12*n - 32. Let z be s(-17). Let r(o) = 4*o - 2*o - 53 + z. Let j(i) = 9*i**2. Give j(r(b)). 36*b**2 Let z(q) = -4475*q + 2231*q + 2237*q. Let g(n) = 5*n. Calculate z(g(s)). -35*s Let n(u) = -u. Let b = -122 + 151. Let m(f) = 27*f + b*f + 19*f - 73*f. What is n(m(g))? -2*g Let h(l) be the first derivative of 14 + l**3 + 3237*l**2 - 3237*l**2. Let c(i) = 5*i**2. Determine h(c(t)). 75*t**4 Let s(h) = 78*h**2 - 6. Let f(l) = -2*l**2 + 21. Give s(f(d)). 312*d**4 - 6552*d**2 + 34392 Suppose -c + 40 = 3*v + 5, -2*v - c + 22 = 0. Let s(m) = 10*m - 4*m - v*m. Let b(p) = -2*p. What is s(b(z))? 14*z Let h(d) = -138*d. Let c(t) = -8*t**2 - 48. What is c(h(p))? -152352*p**2 - 48 Let x(z) = -2*z. Let q(r) = -613*r**2 + 12*r - 6. Let g(c) = 614*c**2 - 14*c + 7. Let o(i) = 6*g(i) + 7*q(i). What is o(x(l))? -2428*l**2 Let t(g) = -2*g**2. Let x(d) be the third derivative of 0*d**3 - 11*d**2 + 0 + 0*d + 17/24*d**4. What is t(x(h))? -578*h**2 Let u(m) = -5*m**2 + m**2 + 3*m**2. Suppose 0 = -3*h + n + 1066, 0 = -3*h - 4*n + 279 + 767. Let y(l) = -h + 354 - 17*l. Calculate y(u(d)). 17*d**2 Let r(s) = 21*s**2 - 140. Let m(a) = -4*a + 9. What is m(r(g))? -84*g**2 + 569 Let k(q) = 3 + 3*q - 6*q - 3. Let s(d) = 18*d**2 - 2*d. What is k(s(h))? -54*h**2 + 6*h Let g(i) = 5*i. Let v(t) = -3752*t**2 + t. What is g(v(l))? -18760*l**2 + 5*l Let y(l) = 20*l**2 + 3*l. Let p(r) = 216*r**2 + 1. Calculate y(p(b)). 933120*b**4 + 9288*b**2 + 23 Let n(b) = -5*b. Let q(h) = 191*h - 1. Let v(m) = -94*m + 1. Let z(w) = -3*q(w) - 5*v(w). Give z(n(s)). 515*s - 2 Let d(v) = -v. Let r(t) = 861*t + 1372. Calculate d(r(i)). -861*i - 1372 Let u(x) = -61*x + 7. Let m(i) = 119*i - 12. Let g(c) = -6*m(c) - 11*u(c). Let v(d) = 2*d**2. Give g(v(s)). -86*s**2 - 5 Let c(a) = 14*a + 7*a - 23*a. Let u(z) = 2*z**2 - 322. What is u(c(x))? 8*x**2 - 322 Let c(m) be the second derivative of -5*m**4/12 - 2*m. Let o(t) = 336*t. Let n(h) = 121*h. Let y(l) = -11*n(l) + 4*o(l). Give y(c(q)). -65*q**2 Let x(y) be the second derivative of -95*y**3/6 + 827*y. Let v(c) = -2*c. What is v(x(g))? 190*g Let x(v) = -2*v + 5. Let s be (2 + 2 + 1)*-1. Let j(q) = 1. Let w(y) = s*j(y) + x(y). Let z(c) = -63*c**2. Determine w(z(k)). 126*k**2 Let y be 3/(-1*(-4)/4). Let r(v) = -40*v + 3 + 38*v - y. Let p(h) = 14*h. Determine r(p(c)). -28*c Let c(u) be the first derivative of 17*u**2/2 - 72. Let i(d) = 11*d. Give i(c(t)). 187*t Let k(s) = 6*s**2. Let q(t) = 12*t - 6. Let d(m) = 25*m - 10. Let x(l) = -3*d(l) + 5*q(l). Determine x(k(g)). -90*g**2 Let r(a) = 2*a. Let h(d) = -756*d - 84. What is r(h(k))? -1512*k - 168 Let a(j) = -17*j**2. Let d(r) = -44*r - 47. What is a(d(h))? -32912*h**2 - 70312*h - 37553 Let q(x) = -4*x + 13*x - 6*x + 3*x. Let b(u) = -u**2. What is b(q(o))? -36*o**2 Let f(s) = -25*s. Let g(o) = -3*o**2 - 9*o + 3. Let r(b) = 6*b**2 + 15*b - 5. Let w(l) = 5*g(l) + 3*r(l). What is w(f(t))? 1875*t**2 Let u(l) = 2*l**2. Let s(a) = 8773 - 8773 + 170*a. Give s(u(n)). 340*n**2 Suppose -5*z - 13 = 3*c, c + c = z + 13. Suppose 0*l - 16 = -c*l. Let b(m) = -4*m - 2*m + l*m. Let t(y) = y. Calculate t(b(s)). -2*s Let o(p) be the first derivative of 10 + 0*p - 5/2*p**2. Let l(w) = -2*w. Give l(o(r)). 10*r Let l(p) = -p. Let w(z) = 48*z**2 - 3*z + 6. Let t(g) = -g**2 + g - 2. Let o(x) = -3*t(x) - w(x). Calculate o(l(y)). -45*y**2 Let h(q) = -6*q**2. Let w(y) = -2149*y - 2. What is h(w(t))? -27709206*t**2 - 51576*t - 24 Let r(t) = -778*t. Let d(n) = 10*n**2 + 5*n. What is r(d(m))? -7780*m**2 - 3890*m Let v(l) be the second derivative of -l**4/4 - l**2 + 99*l. Let z(k) = -2*k**2. Calculate z(v(h)). -18*h**4 - 24*h**2 - 8 Suppose -3*x = -8*x + 45. Let h(n) = -x*n + 11*n + 0*n + 0*n. Let i(a) = 10*a. What is i(h(z))? 20*z Let q(c) = -c**2. Suppose 33*i = 32*i + 3. Let g(f) = -9*f**2 + 1 - 4 + i. Determine g(q(v)). -9*v**4 Let w(p) = 4*p**2. Let x = -66 + 77. Let z(s) = 11*s + x*s - 25*s. What is z(w(c))? -12*c**2 Let y = -516 - -1549/3. Let a(l) be the second derivative of 0*l**2 + y*l**3 + 0 + l. Let h(z) = 2*z**2. Give h(a(t)). 8*t**2 Let k(y) = -3*y. Let q(u) = 1004*u**2 - 982*u**2 - 20 + 20. Calculate k(q(a)). -66*a**2 Let o(x) = -2*x. Let l(q) = q**2 - 2*q. Let g(h) = 44*h. Let c(k) = 3*g(k) + 66*l(k). What is c(o(d))? 264*d**2 Let i(t) = 2273*t + 26. Let o(l) = -l. What is i(o(u))? -2273*u + 26 Let c(v) = v. Let p(r) = 23*r - 8 + r + 8. What is c(p(t))? 24*t Let k(r) be the second derivative of -r**4 - 53*r. Let m(d) = 4*d. Give m(k(f)). -48*f**2 Let c(y) = 527*y**2. Let a(g) = 100*g. What is c(a(t))? 5270000*t**2 Let g(f) = -11*f**2. Let k(u) = -39*u - 10. Let y(i) = 35*i + 8. Let d(a) = -4*k(a) - 5*y(a). Calculate g(d(v)). -3971*v**2 Let p(g) = -1458*g**2. Let h(f) = -5*f - 2. What is p(h(n))? -36450*n**2 - 29160*n - 5832 Let u(d) = -d. Let q = -32 + 38. Let p(t) = 22*t - 3*t - q*t + 17*t. Determine u(p(r)). -30*r Let b(l) = -l**2. Let w(t) be the third derivative of 1/20*t**5 + 0*t**4 - 24 + 0*t**3 + 0*t + 2*t**2. Calculate b(w(r)). -9*r**4 Let v(j) = 247785*j. Let x(g) = -11*g. What is x(v(m))? -2725635*m Let c(o) = -14064*o**2 - o + 1. Let k(n) = 2*n**2. Give c(k(s)). -56256*s**4 - 2*s**2 + 1 Let a(x) = -177244*x**2. Let n(f) = -7*f. Calculate a(n(j)). -8684956*j**2 Suppose t + d = -15 - 43, 4*t + 223 = 5*d. Let l be t/(-6) + 2/(-4). Let b(f) = 2*f**2 - 5*f**2 + l*f**2. Let c(v) = -v. What is b(c(x))? 6*x**2 Let j(d) = 4*d**2 - 15*d - 56. Let k be j(14). Let y(h) = 512*h + k*h - 1026*h. Let x(w) = -3*w + 3*w + w. Determine x(y(a)). 4*a Let t(o) = -2*o + 14 + 3*o - 14. Let f(q) = -112*q**2 + 1. Give f(t(h)). -112*h**2 + 1 Let d(y) = y**2 - 7. Let b(q) = -832*q + 4. Give d(b(o)). 692224*o**2 - 6656*o + 9 Let l(j) = 38*j + 1. Let k(g) = -g**2 + 6*g**2 + 0*g**2 - 4*g**2. Give k(l(m)). 1444*m**2 + 76*m + 1 Let l(x) = -14*x**2. Let j = 6 + -4. Let g(w) = -6*w**2 - w**2 + 6*w**j. Calculate l(g(d)). -14*d**4 Let x(u) = 12*u - u - 13*u. Let o(s) = 10*s + 3*s + 7*s - 7*s. Calculate x(o(z)). -26*z Let k(y) = -14*y**2 - 5. Let a(r) be the first derivative of r**2/2 + 112. Give k(a(o)). -14*o**2 - 5 Let l(t) = 396*t. Let z(m) = 446*m. What is l(z(a))? 176616*a Let g(q) = -q - 1. Let l = -71 + 41. Let b(n) be the second derivative of 25*n**3/6 + 15*n**2 + n. Let k(i) = l*g(i) - b(i). Let v(o) = 2*o. What is k(v(m))? 10*m Let k(w) = -4*w. Let r(b) = 12039*b**2 + 11*b. Determine k(r(x)). -48156*x**2 - 44*x Let n(i) = 2443 - i - 2443. Let m(q) = -205*q**2. What is n(m(k))? 205*k**2 Let i(r) = 6*r + 4. Let a(m) = -20*m - 14. Let o(y) = -4*a(y) - 14*i(y). Let v(u) = u - 3*u + 0*u. Determine v(o(l)). 8*l Let o be 1/((-1)/5*(13 + -14)). Let y(a) = 4*a - o*a - 10*a. Let t(c) = 2*c**2. Give y(t(v)). -22*v**2 Let l(m) = 15*m**2. Let x(r) = 360*r. Let i(w) = 5*w. Let k(a) = 75*i(a) - x(a). Calculate k(l(t)). 225*t**2 Let s(h) be the second derivative of 32*h**3/3 + 191*h. Let d(g) = -g**2. What is d(s(q))? -4096*q**2 Let q(t) be the first derivative of -6*t**2 + 295. Let n(j) = -29*j**2. Calculate q(n(h)). 348*h**2 Let y(t) = -t**2 - t + 13. Let s be y(-3). Let v(a) = 29*a + 10*a - s*a + 12*a. Let g(o) = -2*o**2. What is v(g(n))? -88*n**2 Let s(c) = 368*c**2. Let v(b) = 9*b**2 - 2*b. Calculate v(s(a)). 1218816*a**4 - 736*a**2 Let x(l) = -l. Let r(v) be the third derivative of v**6/90 - 7*v**4/12 + 10*v**2. Let h(w) be the second derivative of r(w). What is x(h(j))? -8*j Let f(z) = -19*z**2 + 9*z**2 - 8*z**2. Let v(b) be the second derivative of -1/3*b**3 - b + 0*b**2 - 30. What is v(f(k))? 36*k**2 Let z(g) = 8*g. Let u(j) = -7*j. Let k(p) = 7*u(p) + 6*z(p). Let h(s) = -16*s**2. Give k(h(i)). 16*i**2 Let z = 60 - 61. Let s(j) = -j**2 - j. Let n(i) = 3*i**2 + 4*i. Let m(p) = z*n(p) - 4*s(p). Let h(t) = -5*t + t + t. Wha
{ "pile_set_name": "DM Mathematics" }
(b) 1 (c) 5 (d) l a Let a = 326/3 + -108. Let l be (2 + (-246)/126)/((-1)/6). What is the nearest to 1 in -4/5, -0.4, a, l? a Let s = 0.217 - -104.783. Let m = s + -104. What is the closest to m in 4, 1/2, -3? 1/2 Let v = 299 + -540. Let p = 241.3 + v. What is the closest to p in -1/5, -2/9, -1? -1/5 Let v = -12805 - -12823. Which is the nearest to 0.1? (a) v (b) -1/7 (c) 7 b Let p = -4/55 + -26/1155. Which is the nearest to p? (a) -4 (b) 2/9 (c) 0.6 b Suppose 19*i = -10*i + 117*i + 3344. What is the nearest to 0 in 2, -10, i? 2 Let l = -1018 + 1027. What is the closest to l in -1, 0.15, -3, 1? 1 Suppose -2*l = -4*l - 8. Let n be -6 + (2/6*-1)/(38/(-456)). What is the closest to l in n, 2/9, -3? -3 Let i = -0.34 - -0.65. Let d = -18.31 + i. Let p = 18.1 + d. Which is the closest to 1/3? (a) p (b) -1 (c) 3 a Let n(h) = h**2 + 14*h + 32. Let t be n(-11). Let k be ((0 - -3) + (-42)/12)/t. Which is the closest to k? (a) 0 (b) 0.07 (c) -4 b Let j = 55 + -33. Let i be 1403/759 + (-4)/j. Which is the closest to 1? (a) -0.3 (b) -0.5 (c) i c Let v = 24 - 23.8. Let r = -0.5 - -0.5. Which is the nearest to r? (a) -5 (b) 0.1 (c) v b Let q = 6.08 + -6. Suppose 0 = 168*f + 6*f - 3*f + 513. Which is the nearest to 1? (a) f (b) q (c) -1 b Suppose 0 = -6*y - 18 - 42. Let m be (y/4)/((-2)/(-4) + 0). Let k = 2 - 2. Which is the nearest to 2/7? (a) m (b) k (c) 3 b Let g = 27.7 + -27.881. Let u = g + -0.119. Which is the closest to -1? (a) 54 (b) 1 (c) u c Let a = -131 - -289. Let v = a - 158.4. What is the nearest to v in -0.4, -3, 0.3? -0.4 Let p be (10*(-4)/(-25))/(8/(-10) - 2). Which is the nearest to 5? (a) 5 (b) p (c) 2 (d) 0.1 a Let q be 1*-86 + 2/((-1)/(-1)). Let f be -1*(-1)/(-2) - 18/q. Let d = -0.038 - 4.962. What is the nearest to -0.4 in f, -2, d? f Let z be 10/12 - 25/30. Let x be 10/4 - (-4)/(z + -8). Let k = -0.13 - 0.07. Which is the nearest to 3? (a) k (b) 2/5 (c) x c Let r = -12397 - -12397.1. Which is the closest to r? (a) 0.3 (b) 0.4 (c) -124 a Let o = -4.158 + 4.058. Which is the closest to -1? (a) -4 (b) -2/5 (c) o (d) 1 b Let f(l) = -l**2 - 89*l - 577. Let t be f(-82). Let g = 89 - 88.95. What is the closest to -0.1 in 0.5, g, t? g Suppose 92*n - 100*n - 1992 = 0. Let u = -254 - n. Which is the closest to u? (a) -0.3 (b) -2/5 (c) -4 c Let z = -19.631 + -1.369. What is the closest to -6 in z, 0.1, -0.5, 1/7? -0.5 Let g be 531/(-72) - (-4 - (6 + 3 + -6)). What is the closest to g in -0.8, 3, 0? 0 Suppose 4*m + 4*v - 5*v = -12, -4*m + 4 = -5*v. Which is the closest to m? (a) -22 (b) -5 (c) 3 b Let o = -55.2 + 55.7. What is the nearest to 0 in o, -1, -65? o Let x = 114 + -74.2. Let y = x - 6.8. Let q = 34 - y. What is the closest to 2 in q, -0.3, 0? q Suppose 0 = 3*x + 6, -520 = 22*z - 26*z + 2*x. Let t = -4537551/35870 + -2/17935. Let l = z + t. What is the nearest to l in 2, 2/13, -5? 2 Let x = 7 - 10. Let h = 5.1846 + 1.8154. Let k = 6 + -5.9. What is the nearest to -1 in k, x, h? k Suppose 0 = 4*d + 4*n - 192, 1076*d = 1074*d + 4*n + 84. Which is the nearest to d? (a) -0.2 (b) -1/8 (c) -5 b Let c = 22649.0622 + -22644. Let p = c - 0.0622. What is the closest to -2 in -4, p, -5? -4 Let n(y) = y**3 - 3*y**2 - 6*y + 15. Let g be n(3). Let l = 0.2 + 0.8. Let p = 4 - 4.3. Which is the nearest to 1? (a) p (b) g (c) l c Let s = -18.6 + 18.65. Let f be -2 + -2 + -3 + -3. Let t be 10/(-6) + f/(-5). What is the closest to 1 in s, 2/11, t? t Let p = -3 + -4. Suppose -5*z + 5 = 30, -8*z - 56 = 4*d. Which is the closest to 2/3? (a) d (b) p (c) 2/5 c Let c = -637 - -415. Let p = c + 226. Let n = -1 + 0. What is the nearest to n in p, 2, -0.04? -0.04 Let q = -27 - -27. Let h(y) = -y**2 + y + 3. Let b be h(q). Suppose b*o = -101 + 104. What is the closest to o in -2, -1/5, -13? -1/5 Let x = -1434 + 1429. Let l be 2 - 21/6 - -1. Which is the closest to 4? (a) 1 (b) x (c) l a Let f be (-140)/(-63) - 190/45. What is the nearest to -2/3 in 1, f, 2, -13? f Let a = 1 - -2. Let g = 1.1 - 1. Suppose -28 + 67 = 157*b - 118. What is the nearest to b in -2, a, g? g Let l = -5006 + 5005.7. What is the nearest to l in -1.2, 1/7, -2? 1/7 Let f(v) = -3*v**3 + 47*v**2 - 27*v - 47. Let q be f(15). Let l = -10.71 + -0.29. What is the nearest to q in 4/5, 3/4, l? 3/4 Let k be -3 + 9*(-104)/(-351). Let p = -1.4 - -1.4. Let r = -6 + 10. Which is the closest to k? (a) p (b) -0.4 (c) r b Let y = -15988/13 + 1230. What is the nearest to -8/5 in -0.1, 1, y? -0.1 Let t = 1.95313 + 0.04687. What is the closest to -0.2 in 0.22, -5, t? 0.22 Let v(u) = -u**2 + 8*u + 1. Let h be v(8). Let z = 1.94 - 12.44. Let t = z - -10.6. Which is the nearest to t? (a) 0 (b) h (c) -8/3 a Let g = 0.00629 + -0.50629. Which is the closest to 1/2? (a) -1/3 (b) -140 (c) g (d) -4 a Let t = 4149 - 3919. Which is the closest to 0? (a) t (b) -1/4 (c) 4 (d) 5 b Let d = 6 + -8. Suppose 33*m = 30*m - 12, -6*h = -5*m - 44. What is the nearest to -1/3 in d, -5, -1.3, h? -1.3 Let t = 1514 - 1513.5. Which is the closest to 1? (a) -5 (b) -375 (c) -0.2 (d) t d Suppose -123*z = -125*z + 4. Suppose 0 = d + 3*p - p - 5, -z*d = 3*p - 8. Let w = 0.2 - 0.24. Which is the closest to 0.2? (a) d (b) -2/5 (c) w c Let m(k) be the third derivative of 11*k**2 + 0*k - 1/8*k**4 + 5/6*k**3 + 0. Let o be m(2). What is the nearest to o in 0.4, -3, -6? 0.4 Let g = -0.31 - -0.01. Suppose d - 347 = -8*x + 9*x, 3*d + 2*x - 1066 = 0. Let l = -350 + d. Which is the closest to 4? (a) 4/5 (b) l (c) g b Suppose 1 = -2*z - 3. Let p = 18.1 + 54.7. Let t = p + -73. Which is the nearest to -0.1? (a) 2 (b) t (c) z b Let j = -3942.4 - -3942. Which is the nearest to 23? (a) 0.05 (b) j (c) -2/21 a Let o = 62.6 + -61. Let t = o + 0.4. Let v = -1 + 1. What is the closest to 0 in 0.3, t, v? v Let x = -622.4 + 620.4. What is the nearest to -0.339 in -2/3, 4, x? -2/3 Let v = 2140 - 1467.4. Let h = 673 - v. Which is the nearest to -1? (a) 0.01 (b) 0.23 (c) h (d) 2 a Let u = -2.8979 - 0.1021. Let d = 4 - 7. Let h = -3 - d. Which is the closest to 2? (a) u (b) h (c) -2 b Let t be 2 - (1 + (-7)/1). Let z be (5 - t) + 5 - 5. What is the nearest to 2/5 in z, 1, -0.12? -0.12 Let a = -408 + 428. Suppose -5*k - d + 10 = 4*d, -d = -5*k - a. What is the closest to 3/4 in k, -1, -8? -1 Let j = -119 + 56. Let n = -63 - j. Which is the nearest to n? (a) 3 (b) -5 (c) 0.4 c Let i = 4896/17087 - 2/2441. Which is the nearest to 114? (a) i (b) 0.1 (c) -6/7 (d) 0.2 a Let r = 107052 + -107051.9. Let g = -4.92 + -0.08. What is the closest to 3/7 in g, r, 0.2? 0.2 Let g = 203/172 + 3/43. Let q = -8738/23 + 380. Let m = q - -15/92. Which is the nearest to 1? (a) g (b) m (c) 0.2 a Let p = -160 - -165. Let n be -2 + (54/16 - 1). Which is the closest to 0.1? (a) p (b) -2 (c) n (d) 2 c Suppose -2*l - 25 = -3*o - 23, -3*o - 2*l = -22. Which is the nearest to 2? (a) -0.44 (b) -0.3 (c) o (d) 0.2 d Let k(g) = -2*g**2 - 8*g - 8. Let s be k(-6). Let t = 6 - s. Let z = t + -36. Which is the nearest to z? (a) 1/7 (b) -2/3 (c) 4 a Let z be (-24)/28 - ((-40)/(-220) + 13/(-11)). Which is the nearest to 10? (a) -0.5 (b) z (c) -5 (d) 2/5 d Let y be 5/(-5 - 1 - (-14 + 11)). Suppose 0 = -5*t + 266 - 861. Let z = t - -593/5. What is the nearest to z in 1/3, 0, y? 0 Let v = -16.19 + 16.18. What is the nearest to v in 2/13, 0.3, -3/53, 5? -3/53 Let g = -7609/4 + 1901. What is the nearest to -1 in -2, g, 2, -8/5? g Let r = 8596 - 8632. Which is the closest to 1? (a) 1 (b) r (c) -4 a Let z = -4465 - -4460. Which is the nearest to 2/13? (a) 0.2 (b) 1/3 (c) z (d) -4 a Let j = -0.007 + -2.033. Let q = -0.04 - j. Let h = -1.0701 - -0.6701. Which is the nearest to 2? (a) h (b) q (c) -3 b Let n = 1027 - 1040. What is the nearest to 0 in -1, n, 9? -1 Let u = -1.0193 - 0.9807. Which is the nearest to u? (a) -1/7 (b) 1/8 (c) 1 (d) 0 a Let f = 3213 + -2867.4. Let s = f - 346. Let w = 0 + -0.1. What is the closest to w in 8, -2/3, s? s Let o be (-6)/21 + 144/357. Let u be (-2)/5 - 18*(-10)/75. Suppose -d = 2*p - 1, -u*d + p - 2 = -3*d. What is the nearest to 0 in d, o, -2? o Let d be 9 + (27/(13770/(-5491)) - 5*2/(-6)). Let p = -7 + 2. Which is the nearest to -1? (a) d (b)
{ "pile_set_name": "DM Mathematics" }
14 Simplify 4 + sqrt(98) + (sqrt(98) + sqrt(98) + 1 - sqrt(98))**2 - (sqrt(32)*-2 - (sqrt(288)*-2)**2). 29*sqrt(2) + 1255 Simplify (2*sqrt(320)*3*6 + 0 + 3*sqrt(320) + 5)**2. 3120*sqrt(5) + 486745 Simplify (-3 + (-4 + 0 + sqrt(363))*4)**2. -1672*sqrt(3) + 6169 Simplify 0 + (1 + sqrt(1900) - sqrt(1900)) + (sqrt(1900) - ((sqrt(1900) + -2 - sqrt(1900)) + sqrt(1900) + sqrt(1900))**2*5) + 0. -38019 + 410*sqrt(19) Simplify (-1*2*sqrt(272)*2*4)**2*-2*-5. 696320 Simplify 0 + -1*(1*2*-2*(sqrt(17) + 1)*5)**2. -7200 - 800*sqrt(17) Simplify 1 + 2 + sqrt(637) + ((sqrt(637) + -1 + sqrt(637) + 5)**2 - sqrt(637)) + 1. 112*sqrt(13) + 2568 Simplify -2*((sqrt(18)/(sqrt(2) - -1*sqrt(98)))/((-2*sqrt(144))/sqrt(3) - sqrt(48)))**2. -1/1536 Simplify -4*((((sqrt(68) - (sqrt(68) + -3*sqrt(68) + sqrt(68)) - sqrt(68)) + sqrt(68))*3)/(sqrt(36)/sqrt(81)))**2. -22032 Simplify (sqrt(2448) + (sqrt(2448) - (sqrt(2448) + 3)))**2*2 - (-3 + sqrt(2057) + 2 + sqrt(2057))**2. -3315 - 100*sqrt(17) Simplify ((sqrt(99) - (sqrt(99)*3 - sqrt(99))*-4)/sqrt(9) - -1*(sqrt(99) + sqrt(99)*-1))**2. 891 Simplify ((5*sqrt(152)*-2 - sqrt(152)) + (sqrt(152) - -1*(1*sqrt(152) - sqrt(152))))/(-3*-2*sqrt(32)/sqrt(4)). -5*sqrt(19)/3 Simplify (-4 + sqrt(1053)*4 + sqrt(1053) + (sqrt(1053) - (sqrt(1053) + 5*(3 + sqrt(1053)) + sqrt(1053))))**2. 342*sqrt(13) + 1414 Simplify ((sqrt(15) - (sqrt(15) - sqrt(735)*1)) + (sqrt(15) - ((sqrt(1215) - 2*sqrt(1215)) + sqrt(15))))/(-2*sqrt(320)*1). -sqrt(3) Simplify ((-2 + 1*sqrt(2736))*4 - (-2*sqrt(209)*6)/(4*1*sqrt(11)))**2. -816*sqrt(19) + 49483 Simplify (-4 + (sqrt(363) - (2 + sqrt(363))) + (-2 + sqrt(147))*-4)**2. -112*sqrt(3) + 2356 Simplify 1*(-3 + ((6*(sqrt(363) + sqrt(363)*1) - sqrt(363)) + (0 + sqrt(363) + -1 - sqrt(363)))**2). -242*sqrt(3) + 43921 Simplify (((sqrt(88)*2 + sqrt(88))*-3)/((sqrt(80)*3)/sqrt(10)))**2. 99 Simplify ((-1*(sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -3))) - sqrt(1300)) + (sqrt(1300) - (sqrt(1300) + 5 + sqrt(1300) + -2)) + -5)**2. 300*sqrt(13) + 11725 Simplify (sqrt(132) + -5*sqrt(132)*1 + sqrt(132) - sqrt(132) - (sqrt(132) - sqrt(132)*1*-1 - sqrt(132)))/((sqrt(240)*2)/sqrt(5)). -5*sqrt(11)/4 Simplify 3 + ((sqrt(30)/sqrt(3) + sqrt(10))/sqrt(2) + -4 - (sqrt(605)*1 + 3)**2). -615 - 64*sqrt(5) Simplify (2 + (sqrt(108) - 1*sqrt(108)*4)/sqrt(9)*2)**2. -48*sqrt(3) + 436 Simplify (sqrt(1300) + 1)*-3 - (-1*sqrt(13) + 0 + 1 + sqrt(832))**2. -641 - 44*sqrt(13) Simplify sqrt(21)/(sqrt(112) + sqrt(7)) - (sqrt(24)/(2*sqrt(8)))**2 - (((sqrt(147)/sqrt(7))/sqrt(7))**2 + 3). -27/4 + sqrt(3)/5 Simplify ((sqrt(2592)*3 + 0)*-1)**2 + 4. 23332 Simplify ((4*sqrt(360) - sqrt(40))/sqrt(8)*1)**2*-5. -3025 Simplify ((sqrt(1300) - -2*sqrt(1300)*-1) + 2*sqrt(1300) + 5)**2 - (1 + ((sqrt(208) - (-1*sqrt(208) + 0)) + sqrt(208))**2). -548 + 100*sqrt(13) Simplify (-3*(0 + sqrt(2448)) - sqrt(2448) - (sqrt(2448)*-2 + -5))**2*4. -960*sqrt(17) + 39268 Simplify (5 + sqrt(1100) + (sqrt(1100) + sqrt(1100)*3 - sqrt(1100)) + 3 + (-1*sqrt(1100))**2 + sqrt(1100) + -2)*5. 250*sqrt(11) + 5530 Simplify -1 + (sqrt(475) + -1 + -2 - (4 + sqrt(475) + 0) - -5*(sqrt(475) - (sqrt(475) + sqrt(475)*-1 + sqrt(475)))*3)**2. 48 Simplify ((4 + -5*(sqrt(1300) - sqrt(1300)*-2))*-2 + 1 + -1)**2. -4800*sqrt(13) + 1170064 Simplify (1 + sqrt(2057) + 0 + 0)**2 + ((1*sqrt(170))/sqrt(10) - (sqrt(2057) + 3))**2. 82*sqrt(17) + 3767 Simplify (sqrt(13) - (1*sqrt(637))**2) + (sqrt(52) + sqrt(468) - sqrt(52)) - (sqrt(1573) + (-2 + -1*sqrt(1573) + sqrt(1573))**2 - 6*(sqrt(1573) + -1)). -647 + 62*sqrt(13) Simplify 4*5*((sqrt(432) - 4*sqrt(432)*2)/(sqrt(252)/sqrt(7)))**2. 11760 Simplify (0 + (5 + sqrt(132)/sqrt(12))*1*-5 + 2)**2. 230*sqrt(11) + 804 Simplify (sqrt(21)/(sqrt(7) + (1*sqrt(70))/sqrt(10)) - ((0 + sqrt(3) + 5)**2 + sqrt(108) + 0)) + -1. -29 - 31*sqrt(3)/2 Simplify -5 + (2*sqrt(88)*-2)/sqrt(11) + 1 + sqrt(1152) + -5. -9 + 16*sqrt(2) Simplify (-5*((sqrt(153) - -1*sqrt(153)*-1) + sqrt(153)))/(6*sqrt(9)*-1*-1). -5*sqrt(17)/6 Simplify -2*(-5 + sqrt(3) + sqrt(6)/sqrt(2) + -1 + -5)**2. -266 + 88*sqrt(3) Simplify -2 + ((sqrt(18) + (2*sqrt(180))/sqrt(10))*2)/(-1*sqrt(1089) - sqrt(576)/sqrt(4)). -2 - 2*sqrt(2)/5 Simplify (3*sqrt(567) + 3 + (sqrt(567) - (3 + (sqrt(567)*-3 - sqrt(567)) + sqrt(567))))**2. 27783 Simplify (-4*-3*sqrt(132))/(-3*sqrt(432)). -2*sqrt(11)/3 Simplify -4 + (((sqrt(8)*2*6)/sqrt(4) + 1)*6)**2 + 3. 864*sqrt(2) + 10403 Simplify ((-4*sqrt(110) - sqrt(110))*5 - sqrt(110))/(-4*-2*sqrt(10)). -13*sqrt(11)/4 Simplify 0 + sqrt(50)/(sqrt(10)*-2) - ((sqrt(90)/sqrt(3) + sqrt(30))/sqrt(6) - (-1 + sqrt(720) + sqrt(720))). -1 + 43*sqrt(5)/2 Simplify (sqrt(252) + 4*(sqrt(7) + sqrt(28) - sqrt(7) - sqrt(7)))**2 + (sqrt(112) - (-1*sqrt(112) + 1))**2. -16*sqrt(7) + 1149 Simplify (6*sqrt(152)/sqrt(4) + sqrt(38) + sqrt(1368)*-2)/((sqrt(352) - sqrt(22))/sqrt(11) - -2*(sqrt(2)*-1 + sqrt(2))). -5*sqrt(19)/3 Simplify ((sqrt(400)*2 - sqrt(400)) + -1*sqrt(1024))/((sqrt(48) - (sqrt(48) - (sqrt(48) - sqrt(288)/sqrt(6)))*2)/sqrt(6)). 3*sqrt(2) Simplify 1*(2*sqrt(1008) - sqrt(1008)) - -5*(sqrt(1008) + -1)**2 - (sqrt(1008) + 3*(sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008)))**2 - (0 + sqrt(1008))**2*-3). -1006 - 48*sqrt(7) Simplify ((-1*sqrt(2420))/(sqrt(90)*2 - sqrt(90) - sqrt(10)))**2. 121/2 Simplify (0 + (-4*sqrt(1100)*2 - 1*1*sqrt(1100)) + -5)**2. 900*sqrt(11) + 89125 Simplify 3 + (-5*sqrt(34)/(sqrt(72)*-1)*6)**2. 428 Simplify 4 + (-3*sqrt(22)/sqrt(2) - sqrt(11)) + sqrt(132)/(sqrt(48)/sqrt(4)) + 4 + sqrt(77)/(5*(sqrt(21)/sqrt(3) + sqrt(7))). -29*sqrt(11)/10 + 8 Simplify (-2*sqrt(95)*4)/((sqrt(60) + 4*sqrt(60))/sqrt(12)). -8*sqrt(19)/5 Simplify (sqrt(85) + 4*sqrt(85)*-6)/((sqrt(25)*1)/sqrt(5))*-3*5. 345*sqrt(17) Simplify (-3 + (-5 + sqrt(288) + 0)*-6 + -3 + -5)**2. -2736*sqrt(2) + 10729 Simplify ((sqrt(143)*-1*4)/(-2*sqrt(1331))*6 + 5)**2. 120*sqrt(13)/11 + 4897/121 Simplify ((3*(sqrt(2430)*2 + sqrt(2430)) + sqrt(2430))/((sqrt(10) + sqrt(160))*-4 - sqrt(1210)*1))**2 + 3. 27183/961 Simplify 3 + (sqrt(132)/sqrt(6))/sqrt(11) - (sqrt(98)*4 + 1). -27*sqrt(2) + 2 Simplify (0 + -3*sqrt(1088)*-4 - (sqrt(1088) + -1)*2*-5)**2. -3520*sqrt(17) + 526692 Simplify ((-5 + -2*sqrt(99) - (sqrt(99) + sqrt(99)*2 - sqrt(99))*4) + 3*(2*sqrt(99)*-1 + sqrt(99)))**2*-3. -50268 - 1170*sqrt(11) Simplify -5*((-5*(sqrt(15)/sqrt(3) + sqrt(5)))**2 - (sqrt(405) + 2)**2)*3. -1365 + 540*sqrt(5) Simplify sqrt(10)/(sqrt(5) - (sqrt(15)/sqrt(3) + sqrt(5))*-1) + -6*(sqrt(14)*2)/sqrt(7). -35*sqrt(2)/3 Simplify (1*1*sqrt(75) + 4 + sqrt(75) + -1 + sqrt(75) + sqrt(75) + sqrt(75)*-1 + -5 + (-2 + sqrt(75) - sqrt(75))*3)**2. -240*sqrt(3) + 739 Simplify (sqrt(350)*1 + sqrt(350))/(sqrt(2) + -3*sqrt(8)/sqrt(4)) - ((-3*sqrt(63))**2 - sqrt(63) - (sqrt(7) - (2 + (sqrt(7)*-1 - sqrt(7)) - sqrt(7)))**2). -451 - 18*sqrt(7) Simplify 4 + (sqrt(125) - (-5 + sqrt(125)*2)) + 4. -5*sqrt(5) + 13 Simplify -5 + 5*(sqrt(33)/sqrt(3) + 1)**2*4*-6. -1445 - 240*sqrt(11) Simplify -4 + -2 + 5*(-1 + sqrt(11)) + 4 + 2. -5 + 5*sqrt(11) Simplify -4 + -5*((1 + sqrt(275))*3 + 1 + -2). -75*sqrt(11) - 14 Simplify 2*(((sqrt(108) + (sqrt(108) - (sqrt(108)*-1 + sqrt(108))))/sqrt(9))/(-3*sqrt(12)/sqrt(2)) + 3). -4*sqrt(2)/3 + 6 Simplify -3 + (4*-5*((sqrt(931) - (-2 + sqrt(931))) + sqrt(931)) + -1)**2. 11480*sqrt(19) + 374078 Simplify 1 + (sqrt(275) + (sqrt(275)*2 - sqrt(275)))*2 + -2. -1 + 20*sqrt(11) Simplify 5*(sqrt(325) + (0 + sqrt(325) + 5)**2 + ((sqrt(325) + 0 + -2)**2 - sqrt(325)) - (0 + sqrt(325) + -4 + 4)). 125*sqrt(13) + 3395 Simplify ((2*sqrt(117))/sqrt(9) + sqrt(13) + -4)**2 + (sqrt(208) + -1 + (sqrt(13) - (sqrt(13) + -1*(sqrt(13) + (sqrt(13) - 2*sqrt(13)))) - sqrt(13)))**2. -30*sqrt(13) + 251 Simplify (-4 + -4*(sqrt(1700) + (sqrt(1700) - (sqrt(1700) + 1)))*-1 + -1 + -5)**2. -1120*sqrt(17) + 27396 Simplify -4 + ((sqrt(135) + 2*sqrt(135) - sqrt(135))*1)/(sqrt(50)/sqrt(90)). -4 + 18*sqrt(3) Simplify (sqrt(2940)*-3)/(sqrt(192)/sqrt(4)). -21*sqrt(5)/2 Simplify ((sqrt(95) - 1*sqrt(95))*-2*5)/(sqrt(15)/(sqrt(9)/sqrt(3)) - sqrt(20)*1) + -4. -4 Simplify 3 + ((-1 + sqrt(1377) + -5 + -2)*4)**2. -2304*sqrt(17) + 23059 Simplify (5 + 4 + sqrt(363)*-2 + sqrt(363) + 5 + 0)**2. -308*sqrt(3) + 559 Simplify (2 + (sqrt(3) + sqrt(6)/sqrt(2) + -4 - sqrt(3) - (2 + 1*sqrt(3) - sqrt(3))))*-2. -2*sqrt(3) + 8 Simplif
{ "pile_set_name": "DM Mathematics" }
1. Let j be k(1). Suppose -4*o - 16 = 3*u, -5*u + 0*o = j*o + 22. Let g be (-486012)/(-18) - u/(-6). Round g to the nearest 10000. 30000 Let k = -69 - -18.5. Let t = k - -38. Let x = t + 12.49929. Round x to 4 dps. -0.0007 Let s(k) = -85*k. Suppose -9*c + 6*c + 6 = 0. Suppose c = -2*o - 2. Let z be s(o). Round z to the nearest one hundred. 200 Let s = -3134 + 3137.343. Let m = s - 3.07. Let q = -12.627 - m. What is q rounded to the nearest integer? -13 Let k(i) = -i + 6. Suppose 0 = -2*h + 13 + 11. Suppose 13*p - h = 12*p. Let w be k(p). What is w rounded to the nearest ten? -10 Let g = 6771330 + 1053129. Let c = g - 3924459. Round c to the nearest one million. 4000000 Let r = 1694.93 - 246.83. Let k = -1518 + r. Round k to the nearest ten. -70 Let z = -862 + 861.98758. Round z to three decimal places. -0.012 Let m = -27 - -27. Suppose m = d + 1144 - 9744. What is d rounded to the nearest one thousand? 9000 Let k = -0.147 + -134.853. Let h = k + 135.0057. Round h to 3 dps. 0.006 Let x = 1557.79 - 1873.9964. Let u = 314.7 + x. Let f = 1.5 + u. Round f to 3 decimal places. -0.006 Let n = -254.3334187 - -138.3334041. Let z = n + 116. What is z rounded to 6 decimal places? -0.000015 Let a = -42.635 - -27.15. Let z = 15.7 + a. What is z rounded to 2 decimal places? 0.22 Let u = -45611 - -43556.7. Let g = u - -1929. Let h = g - -120. What is h rounded to zero dps? -5 Suppose 11*f + 1566451 = 51242451. Round f to the nearest 1000000. 5000000 Let y be 3 - -2*(5 - -3). Let b = y + -15. Let q be -5000*3400/(b/(-4)). Round q to the nearest 1000000. 17000000 Let j(r) = -50*r**2 - 6*r + 8. Let d be j(3). What is d rounded to the nearest one hundred? -500 Let n(c) = -3*c**2 + 13*c + 1. Let f be n(13). Round f to the nearest one thousand. 0 Let l = -20 - -12. Let r = 27721482.0000045 + -27721474. Let b = l + r. What is b rounded to six dps? 0.000005 Let f = -3.07 - -36.27. Let n = 6757375.3 - 6757408.499771. Let g = f + n. What is g rounded to five dps? 0.00023 Let n(v) = 2630*v**2 - 3*v - 3. Let x be n(-1). Let q be (3/3 + 0)*x. What is q rounded to the nearest 100? 2600 Let y = 70 - 69.998131. Round y to three decimal places. 0.002 Let a = -4160.2 - -1403. Let m = 2757.33009 + a. Let g = 0.13 - m. Round g to four dps. -0.0001 Let b = -2.496 + 3.647. Let d = -0.221 + b. What is d rounded to 1 dp? 0.9 Let c = -0.262 - -0.2620449. Round c to five dps. 0.00004 Let s = -0.445 + 0.44496495. Round s to six decimal places. -0.000035 Let c = 135 - 191. Let j = c + 55.9999967. Round j to 6 decimal places. -0.000003 Let l = -0.173 + -68.827. Let u = l + 55.9. What is u rounded to the nearest 10? -10 Suppose 0*l + 5*l - 773 = -4*x, 0 = 5*l - 3*x - 759. Let a be l/(-63) + 3/7. Let v be -372 + (-7)/(7/a). What is v rounded to the nearest one hundred? -400 Let s = -0.32999836 + 0.33. Round s to 7 dps. 0.0000016 Let w = 0.088551 + -0.09541. Round w to four dps. -0.0069 Suppose 3*g - 9 = -3*z, 5*g - z + 2 = 23. Suppose 0 = -0*p - g*p + 144000. What is p rounded to the nearest 10000? 40000 Let i = -0.005 + -23.995. Let j = i - -23.9975. What is j rounded to 3 decimal places? -0.003 Let q(v) = 13*v - 26. Let t be q(5). Let p be 1 - (-1534)/t*3/2. Round p to the nearest ten. 60 Let c = -231.919 + 1.669. Let j = c + -4.75. Let s = 222.7 + j. What is s rounded to the nearest integer? -12 Let a = 3.3 + -3. Let f = -4.1 - -4. Let t = a - f. Round t to zero decimal places. 0 Let f = 11258.13354 - 11258. Let g = f + -3.15404. Let b = 3 + g. What is b rounded to three decimal places? -0.021 Let t = 7279750451 + -7279750403.99999913. Let d = 47 - t. Round d to seven decimal places. -0.0000009 Let c = 15 - 12. Suppose -7*y - 10 = c*a - 3*y, 3*a + y = 2. Suppose -5*d = 2*b + b - 6994, -a*d = 2*b - 2796. Round d to the nearest one thousand. 1000 Let o(b) = -b**2 - 31*b + 11. Let r(y) = -y + 1. Let s(j) = o(j) - 4*r(j). Let l be s(-20). Round l to the nearest ten. 150 Let c = 1248 + -1248.00729. Let s = -242 - -242.008. Let k = s + c. Round k to four dps. 0.0007 Let w = 1094130 + -950377.8. Let f = 143752.33000176 - w. Let k = 0.13 - f. What is k rounded to seven dps? -0.0000018 Let h be (5 - (-220799977)/4) + 12/16. What is h rounded to the nearest 1000000? 55000000 Let x = 31 - 31.46. Let a = 62 + -59.36. Let b = a - x. Round b to the nearest integer. 3 Let z = 213 + -206.31. Round z to one decimal place. 6.7 Let q = -46.44 + 46. What is q rounded to 0 decimal places? 0 Let b = 0.11 + -0.16. Let r = b + 0.1. Let h = r - 0.19. What is h rounded to 1 dp? -0.1 Let c = 0.0800168 + -0.0801. Round c to 5 decimal places. -0.00008 Let m = 27.7 + -27.746. Let a = 344.994 + -344. Let v = a - m. What is v rounded to 1 decimal place? 1 Let t = 25.0675 - 25. Round t to 3 dps. 0.068 Let u = -120 - -176. Let z = u + -55.892. What is z rounded to two decimal places? 0.11 Let t = -3.5 - -1.3. Let c = 18.2 + t. Let o = 15.999948 - c. What is o rounded to 5 decimal places? -0.00005 Let q = -154.014007412 - -0.013699412. Let k = q - -154. Round k to five decimal places. -0.00031 Suppose 14*p + 36418 - 1278 = 0. Round p to the nearest 1000. -3000 Let m be (-3)/((-12)/(-4))*-2534881. Let i = m - 711934. Suppose 2*s + i = -12777053. Round s to the nearest 1000000. -7000000 Let l = -35423.9785 - -35473. Let b = l + -49. Round b to two dps. 0.02 Let h = 1951.03933 - 1951. Let s = -0.039 + h. Round s to four dps. 0.0003 Let l = 17005 + -11325. Let c = 5700.995 - l. Let u = 21 - c. Round u to three dps. 0.005 Suppose -3*o + 2*i + 6750 = 3*i, -3*o + 6750 = -3*i. Suppose -1668 + 168 = -2*m - 2*c, 0 = 3*m - c - o. What is m rounded to the nearest 100? 800 Suppose -50646600 = 5*d - 496600. Round d to the nearest 1000000. -10000000 Let z = 2.4 - 9.4. Let y = -6.99935 - z. Round y to 4 decimal places. 0.0007 Suppose 64*b - 62*b = 4. Let y be b - (0 - -2 - 36600). Round y to the nearest 1000. 37000 Let n = -19 + 23. Suppose 3*g = 0, 2*g - 559276 - 520724 = -n*j. What is j rounded to the nearest one hundred thousand? 300000 Let s be (-76)/20 + 2/(-10). Let h(c) = 2*c + 4. Let v be h(s). Let r be v/14 - (-182699994)/(-21). What is r rounded to the nearest 1000000? -9000000 Suppose 79 + 89 = -2*j. Let c = -182 - j. Round c to the nearest ten. -100 Let x = 479 - 342. Let k = -145 - x. Let o = -282.00000131 - k. What is o rounded to seven dps? -0.0000013 Let x = -225488 + -534249.6. Let p = x - -759738.0799969. Let o = p + -0.48. Round o to 6 dps. -0.000003 Suppose 3*n + m = 73486, -4*m = 2*n - 3*m - 48989. Let y = -14497 + n. What is y rounded to the nearest 1000? 10000 Let z = -37 + 36.69. Let s = z + 0.309695. What is s rounded to 5 decimal places? -0.00031 Let u = -28.3 - -160.7. Let d = 120 - u. What is d rounded to the nearest integer? -12 Let a = 591 + -591.00008752. What is a rounded to 6 decimal places? -0.000088 Suppose -9*i - 864900 = -12*i. What is i rounded to the nearest 100000? 300000 Let b(s) = -349*s + 4. Let p(r) = -r**2 + 8*r - 12. Let w be p(8). Let x be 25/(-6) - 2/w. Let d be b(x). Round d to the nearest one thousand. 1000 Let m be -239*(1332/6 + 8). Round m to the nearest 1000. -55000 Let q = 49 + -49.68. Let y = q - -0.6800051. Round y to six dps. 0.000005 Let y(l) = 4122*l**2 + 3*l + 1. Suppose -s + 6*s = -2*c + 25, -4*c = 2*s + 6. Let t be y(s). Round t to the nearest 10000. 200000 Let u(a) = a**2 - a. Suppose -3*j - 2*j = 5. Let f be u(j). Suppose 1959996 = -4*w - h, -w + 4*w - f*h + 1470008 = 0. Round w to the nearest 100000. -500000 Let g = 22 + -26.4. Let n = 12.1 + -13. Let h = n - g. Round h to the nearest integer. 4 Let v = -3837381.99935 + 3837521. Let x = 139 - v. Round x to four dps. -0.0007 Let u = 52860 - 29464. Suppose 0 = 3*t + 4*i + u, -4*i = 6*t - 2*t + 31196. Round t to the nearest 1000. -8000 Let b = -0.007098041 - -0.0071. What is b rounded to seven decimal places? 0.000002 Suppose 4*w + 17 = -5*s, 10 = -5*w - 5. Suppose 2*v - p = 4*v - 31, -2*v + 4*p + 36 = 0. Let t be ((-840)/v)/(s/16). Round t to the nearest 100. 800 Suppose -4773 = 7*u + 63407. Round u to the nearest 10000. -10000 Let x(j) = j**3 - 10*j**2 - 2*j. Let o be x(13). Suppose h - o + 68 = 0. Round h to the nearest one hundred. 400 Let l = 4107 - 4106.996713. Round l to 3 decimal places. 0.003 Let o = 7.504 + 0
{ "pile_set_name": "DM Mathematics" }
2*p + 3 + 5*p**2 - p**3. Suppose 4 + 8 = 3*v. Calculate u(v). 1 Let v(k) be the first derivative of -6*k - 17 + 1/2*k**2. Calculate v(0). -6 Let q(r) = -r**3 - r**2 + 3*r. Let h(a) = -a**3 - 7*a**2 - 4*a + 14. Let b be h(-6). Let w be (-8 + 16 - 2)*b/(-4). What is q(w)? 9 Let h(c) = 20*c - 6*c - 7 - 15*c - c**2 - 7*c. Suppose 5*n + 27 + 2 = -3*f, 5*n + f + 33 = 0. Determine h(n). 0 Suppose -2*h + 4*n - 12 = -4*h, 4*h + 3*n = 19. Let z(j) be the second derivative of j**3/6 - 3*j**2/2 + 28*j. What is z(h)? 1 Let m(y) be the first derivative of y**3/3 + 3*y**2 - 9*y - 21. Let l = 65 + -73. Determine m(l). 7 Suppose -l - 4 = -0. Let a(r) = 4*r - 1. Let c be a(l). Let u = c - -23. Let w(o) = -o + 4. Determine w(u). -2 Let f(k) = -25*k + 2. Suppose -q + 2*o = -7, 10*q - 12 = 4*q - 3*o. Calculate f(q). -73 Let n(j) = 13*j**2 - 5*j - 27. Let g(t) be the first derivative of -t**3 + t**2/2 + 7*t + 22. Let o(i) = 9*g(i) + 2*n(i). Determine o(0). 9 Let r(k) be the second derivative of -k**5/20 - 2*k**4/3 - k**3 + 5*k**2/2 + 52*k - 1. What is r(-7)? -2 Let m be 20/6*(2178/90 - 23). Let f(a) be the third derivative of 0*a - 1/12*a**m + 1/3*a**3 - a**2 + 0. Give f(5). -8 Let a(v) = -2*v - 33. Let d = -520 - -500. Determine a(d). 7 Let o(z) = 7*z + 2. Suppose 0 = f + 1, 0 = 4*i - 7*f + 2*f + 3. Calculate o(i). -12 Let q(n) = -2*n + 5. Let i(f) = -f**3 + 5*f**2 + 4. Let l be i(5). Give q(l). -3 Let d(a) be the first derivative of 1 + 1/2*a**2 - 1/3*a**3 - a + 3/2*a**4. Give d(1). 5 Let y(n) = 3*n + 720 - 358 - 336 - 2*n. Give y(-14). 12 Let g(l) be the second derivative of l**7/1260 + l**6/80 + l**5/120 + 13*l**4/6 - 23*l. Let c(f) be the third derivative of g(f). Give c(-6). 19 Let x be ((-3)/1)/((-9)/12). Suppose 0 = -x*d + 3 + 21. Let q(z) = -z**3 + 5*z**2 + 5*z + 2. Calculate q(d). -4 Let a(w) = -w**3 - 5*w**2 + 6*w. Let f be 6 - (2 + -4 + 4). Suppose -2*p + 4*x - 2 = 14, 3*x + 21 = -f*p. Give a(p). 0 Let k(f) = f**2 - 3 - 4*f - 4*f + 14*f - 6*f + 4*f. What is k(-7)? 18 Let g(o) be the second derivative of -o**3/3 - 5*o**2/2 - 13*o. Let n be g(-5). Let u(x) = -5*x + 5. What is u(n)? -20 Let t(h) be the first derivative of h**5/30 - h**4/8 + 14*h**3/3 + 3. Let b(a) be the third derivative of t(a). Let z = 0 - -2. What is b(z)? 5 Let q(b) = -18 + 5 + 8 - b + 12. What is q(7)? 0 Suppose 0 = 173*h - 177*h - 8. Let m(n) = -n**2 - 1 + 0*n**2 - n**2. Calculate m(h). -9 Let s(c) = -c**2 + 1. Let l = -147 + 225. Suppose 3*q - 6*q = -l. Suppose -q*h = -22*h + 8. Give s(h). -3 Let m(u) be the second derivative of u**4/3 + u**3/3 - u**2/2 - 73*u. Determine m(-2). 11 Suppose 4*v - 21 = 2*l + 9, 18 = 3*v + 3*l. Let f(h) = h**2 - 6*h - 13. What is f(v)? -6 Let t(i) = i**2 - 4*i - 2. Let n be t(4). Let p(d) = -d**3 + 2*d - 1. Let u be p(n). Let r(w) = 10 + 2*w**2 + 4 - 13 - 3*w. What is r(u)? 10 Suppose b + 3*b = -20, -2*s + b + 9 = 0. Let f(m) = 3*m - m**3 - 3 - m**2 + s + m**2 - 3*m**2. Determine f(-4). 3 Let m(k) be the third derivative of k**7/5040 + k**6/144 - 8*k**5/15 + 11*k**2. Let b(i) be the third derivative of m(i). Calculate b(6). 11 Suppose -g + 2*u - 1 - 1 = 0, g = 5*u - 2. Let i be -3*(3 + (g - 0)). Let o(m) = -m**3 - 3*m**2 - 4*m. Give o(i). 12 Let j(m) = -7*m - 3. Let k be (-5)/(-3 - (-7 + 3)). Let g(n) = -10*n - 4. Let q(f) = k*g(f) + 7*j(f). Let i be (-4)/(-2*2/(-4)). Determine q(i). -5 Let m(z) = -2*z**2 - 15*z - 1. Let n(f) = 17*f + 588. Let c be n(-35). Calculate m(c). 6 Let v(m) be the second derivative of -m**5/10 + m**4/4 + 2*m**3/3 - 9*m**2/2 + 4*m + 71. Determine v(2). -5 Let x be (-14 + 2)*(-2 + (-78)/12). Let q = 100 - x. Let k(a) be the second derivative of -a**5/20 - 5*a**4/12 - a**3/3 + a**2 + a. Give k(q). -6 Let d = -25 - -35. Suppose 5*v - d = 0, -3*w = 4*v - 20 - 3. Let y(c) = -c**3 + 4*c**2 + 8*c - 5. Determine y(w). 10 Let s(d) be the third derivative of 0 + 1/120*d**6 + 0*d - 1/20*d**5 - 2/3*d**3 + 1/8*d**4 - 12*d**2. Calculate s(3). 5 Let x(z) be the second derivative of -5/2*z**2 + 1/3*z**3 - 41*z + 0. What is x(6)? 7 Suppose -5*z - 5*y = -3*z - 25, 2*z = y - 5. Suppose z*m = -3*m + 5*p + 7, -2*p = -4*m. Let b(s) = 3*s**2 + 1 - 10*s**2 + s + 0*s. Determine b(m). -7 Let l(p) be the first derivative of p**4/4 - 5*p**3/3 - 5*p**2/2 - 6*p + 193. Determine l(6). 0 Let q(h) = -2*h**2 - 5*h - 3. Let u(y) = 2*y**3 + 6*y**2 - 6*y + 5. Let p be u(-4). Give q(p). -6 Let v(x) be the second derivative of x**4/12 - x**3/3 - 5*x**2/2 - 14*x - 2. Calculate v(6). 19 Let t = 25 - 23. Suppose 0 = 4*u - t*g - 0*g + 4, 2*u = -5*g + 22. Let o(q) = -4*q**3 - 1. Give o(u). -5 Let o(f) = -7*f**3 + 57*f + 57*f + 14*f**2 - 113*f - 11*f**2. Give o(-1). 9 Let w(x) be the third derivative of x**5/60 + x**4/12 + 5*x**3/2 - 789*x**2. What is w(-7)? 50 Let l(w) = 3*w + 28. Let a(s) = -s - 9. Let k(q) = -8*a(q) - 3*l(q). Let f be 20/(-80) + (-1)/(-4). What is k(f)? -12 Let c(d) = 42*d + 5 + d**2 + 0*d**2 - 10*d - 27*d. Give c(-3). -1 Let s(p) = -7*p**2 + 34*p**3 - 13*p**3 - 4*p**2 + 8*p**2 + 2*p**2. Calculate s(1). 20 Let f(b) = b**3 + 7*b**2 + 3*b + 4. Let q = 1199 + -1205. Give f(q). 22 Let a(k) be the first derivative of -1/2*k**2 - 4*k + 1. What is a(-9)? 5 Let u(i) = -i**2 + 5*i + 17. Let g be u(7). Suppose -7 = 5*n + o, -4*n - g*o = 2*o + 14. Let s be (n - -1)*1/(-3). Let b(t) = -t**2 - 1. Determine b(s). -1 Let x(l) be the first derivative of -l**2/2 - l - 16. Determine x(3). -4 Let r(a) = a**3 - 2*a**2. Let h(l) = 17*l**3 - l - 1. Let d be h(-1). Let s = d + 20. Suppose -5*b = s*w + 2 - 3, -2*b = 2. Calculate r(w). 0 Let u(l) be the third derivative of 1/24*l**4 + 0 + 4*l**2 + l**3 + 0*l. Suppose -4 = -0*q + 2*q + 4*v, -2*q = 5*v + 3. What is u(q)? 2 Let t = 2 + 20. Let m = t - 24. Let j(q) = 3*q**2 - 2*q - 2. Determine j(m). 14 Let n(h) = h - 2. Let t(p) = -4*p + 9. Let y(o) = -9*n(o) - 2*t(o). Let l(x) = x**3 + 3*x**2 - 6*x - 5. Let f(z) = l(z) - y(z). Let j = -9 + 5. What is f(j)? -1 Let n(x) = 2 - 3*x + x**3 - 3 - 2*x - 2*x**2. Suppose -3*w + 6 = -15. Suppose 0 = -4*l + p + 16, w*l - 4*l - p = 12. Determine n(l). 11 Let n(d) = d**2 + 5*d + 3. Suppose 0 = c + 5 - 70. Let w = 43 - c. Let j = w + 19. Determine n(j). -3 Let a(o) = -o + 7. Suppose 8*z - 874 = -810. Give a(z). -1 Let k(l) = l**3 + 7*l**2 + 5*l + 4. Let z(a) = 2*a**3 + 15*a**2 - 10*a - 21. Let g be z(-8). Give k(g). 29 Let u(y) = -y**2 - 6*y + 5. Let n(p) = -12*p + 78. Let t be n(7). Determine u(t). 5 Suppose -20*b = -31 - 9. Let w(d) be the second derivative of -d**b - 5*d - d**3 - 1/12*d**4 + 0. Determine w(-4). 6 Let u(k) = -17*k + 1. Let m(b) = 10*b. Let y(c) = -4*m(c) - 3*u(c). Give y(1). 8 Let d = -5 + -32. Let r = d - -35. Let y(o) = 0*o**3 - 4*o**2 - o**3 - o + 0*o**3. Give y(r). -6 Suppose 0 = -17*x + 21*x + 16. Let l be (-7)/2*8/x. Let v(f) = f**2 - 8*f - 4. What is v(l)? -11 Let i(x) = -x**3 + 11*x**2 + 27*x - 11. Let l = -657 - -670. Give i(l). 2 Let s(u) = -9*u + 18*u + 10*u + 8 - 8. Determine s(-2). -38 Let t(n) = 2*n**3 + 51*n**2 + 27*n + 64. Let o be t(-25). Let p(y) = 3*y - 32. Determine p(o). 10 Let w be 4/2 - (21 + 3). Let y(b) = -b. Let p(o) = -o**2 + 13*o. Let d(z) = w*y(z) - 2*p(z). Let x = -4 - -7. Give d(x). 6 Suppose 42 = -5*p - 3*u, -p - 13 = u - 5. Let s = 13 + p. Let i(w) = -2*w - 2*w**2 - 2*w + s*w**2 + 2*w. Give i(2). 4 Suppose -31*a + 32*a + 4 = 0. Let v(j) = -j. Let b(y) = -2*y + 1. Let t(x) = 3*b(x) - 5*v(x). Calculate t(a). 7 Let j(l) = -8*l**2 - 6*l**2 + 30*l**2 - 6*l + 13*l - 15*l**2 - 13. What is j(-9)? 5 Let g be 1*(3 + 9/(-3)). Let n(t) = t**3 - 8*t - 2 + g*t + 5*t**2 + 0 + 7*t. Give n(-4). 18 Let s be 9/(-4)*(-10 + 6). Let p = 5 - s. Let k(l) = 0*l - 2*l**2 + 6*l**2 + l**3 + l + 1. What is k(p)? -3 Let w(t) be the second derivative of -t**4/12 + t**3/3 + t**2/2 - t. Let l be (2/(-1))/((-250)/500). Determine w(l). -7 Let h be 1/1*-1 - 1. Let t be (4/4)/((-3)/(-33)). Let u(r) = -9*r + 11. Let i(a) = 3*a - 4. Let c(z) = t*i(z) + 4*u(z). Give c(h). 6 Let x(h) = 3*h**2 + 3*h + 14. Let o(s) = 2*s**2 + 2*s - 1. Let r(l) = -2*o(l) + x(l). Give r(-7). -26 Let g(k) = k**3 + 5*k**2 + 2*k - 4. Let c be g(-4). Let b(f) = f - 2*f**2 - c*f - 2*f + 2*f. Give b(-2). -2 Let s(d) = -d**3 - 3*d**2 - 3*d + 7. Let t(z) = z**2 - 1. Let h(x) = -s(x) + 2*t(x). Determine h(
{ "pile_set_name": "DM Mathematics" }
divided by 747? 701 What is the remainder when 47630640 is divided by 90039? 9 Calculate the remainder when 225887 is divided by 25089. 86 Calculate the remainder when 95207202 is divided by 344. 42 Calculate the remainder when 255195 is divided by 23184. 171 What is the remainder when 9161581 is divided by 35510? 1 Calculate the remainder when 704333 is divided by 7415. 7323 What is the remainder when 1525187 is divided by 8816? 19 What is the remainder when 20905 is divided by 20501? 404 What is the remainder when 1408222 is divided by 156466? 28 What is the remainder when 78964685 is divided by 1271? 1268 Calculate the remainder when 54066085 is divided by 563188. 37 What is the remainder when 6019114 is divided by 80? 74 What is the remainder when 110911 is divided by 157? 69 What is the remainder when 1108692 is divided by 4153? 3994 Calculate the remainder when 20526343 is divided by 25917. 79 What is the remainder when 3740 is divided by 305? 80 Calculate the remainder when 402285 is divided by 11167. 273 Calculate the remainder when 648823 is divided by 98. 63 Calculate the remainder when 178688466 is divided by 213. 210 What is the remainder when 517048 is divided by 73836? 196 Calculate the remainder when 17413482 is divided by 6500. 6482 Calculate the remainder when 495626 is divided by 1203. 1193 What is the remainder when 2364078 is divided by 844? 34 Calculate the remainder when 3491758 is divided by 293. 77 What is the remainder when 16393148 is divided by 963? 962 What is the remainder when 3870758 is divided by 16405? 15583 What is the remainder when 696617 is divided by 4584? 4433 Calculate the remainder when 68638793 is divided by 36. 5 Calculate the remainder when 2481026 is divided by 45. 41 What is the remainder when 2312295 is divided by 822? 9 What is the remainder when 25134968 is divided by 1310? 1308 What is the remainder when 19647880 is divided by 2632? 0 Calculate the remainder when 3366070 is divided by 1363. 823 What is the remainder when 346895 is divided by 6192? 143 What is the remainder when 35719713 is divided by 12407? 12367 What is the remainder when 19742104 is divided by 7433? 56 What is the remainder when 5992 is divided by 938? 364 What is the remainder when 1775861 is divided by 1145? 1111 What is the remainder when 550103 is divided by 7700? 3403 Calculate the remainder when 1163484 is divided by 77456. 1644 Calculate the remainder when 3534302 is divided by 2876. 2574 What is the remainder when 18132 is divided by 5? 2 Calculate the remainder when 407690 is divided by 2812. 2762 Calculate the remainder when 968636 is divided by 484314. 8 What is the remainder when 135812 is divided by 185? 22 What is the remainder when 770100855 is divided by 1566? 1563 What is the remainder when 3317264 is divided by 1528? 1504 What is the remainder when 344897 is divided by 114541? 1274 What is the remainder when 344618 is divided by 11883? 11 Calculate the remainder when 5063482 is divided by 1687671. 469 Calculate the remainder when 658784 is divided by 50569. 1387 What is the remainder when 516985 is divided by 2679? 2617 What is the remainder when 291868 is divided by 1445? 1423 What is the remainder when 1071054 is divided by 3547? 3407 Calculate the remainder when 54613 is divided by 4349. 2425 What is the remainder when 104492 is divided by 110? 102 Calculate the remainder when 28851 is divided by 22946. 5905 Calculate the remainder when 23727025 is divided by 4745394. 55 What is the remainder when 79660 is divided by 4? 0 Calculate the remainder when 3865524 is divided by 1932700. 124 What is the remainder when 1669260 is divided by 3109? 2836 What is the remainder when 595639 is divided by 4516? 4043 What is the remainder when 299370 is divided by 2268? 2262 What is the remainder when 5787820 is divided by 826831? 3 What is the remainder when 1801886 is divided by 6367? 25 Calculate the remainder when 197783 is divided by 1253. 1062 What is the remainder when 6786376 is divided by 3568? 40 Calculate the remainder when 161542 is divided by 590. 472 Calculate the remainder when 2850942 is divided by 1685. 1607 What is the remainder when 2488660 is divided by 1244301? 58 Calculate the remainder when 1258519 is divided by 25682. 101 Calculate the remainder when 1592210 is divided by 132683. 14 What is the remainder when 32656905 is divided by 3524? 3521 Calculate the remainder when 10321 is divided by 256. 81 Calculate the remainder when 1085168 is divided by 6309. 20 What is the remainder when 381009103 is divided by 87? 85 What is the remainder when 137710 is divided by 2869? 2867 Calculate the remainder when 21400234 is divided by 2211. 2176 What is the remainder when 45785 is divided by 10678? 3073 What is the remainder when 687361 is divided by 95? 36 What is the remainder when 99458 is divided by 1995? 1703 What is the remainder when 93249 is divided by 18603? 234 Calculate the remainder when 1059724 is divided by 1048. 196 Calculate the remainder when 20694205 is divided by 20694197. 8 Calculate the remainder when 2436900 is divided by 3352. 3348 What is the remainder when 10676257 is divided by 1924? 1905 What is the remainder when 1229356 is divided by 409310? 1426 Calculate the remainder when 863516 is divided by 6169. 6025 Calculate the remainder when 99847 is divided by 18512. 7287 What is the remainder when 15525750 is divided by 2770? 2670 Calculate the remainder when 19885959 is divided by 67. 24 Calculate the remainder when 8910657 is divided by 1985. 1977 Calculate the remainder when 125236 is divided by 23092. 9776 Calculate the remainder when 8714357 is divided by 9068. 9 What is the remainder when 972424 is divided by 2431? 24 What is the remainder when 66605369 is divided by 5247? 5198 Calculate the remainder when 2493065 is divided by 67. 62 What is the remainder when 260755 is divided by 9634? 637 What is the remainder when 48417411 is divided by 396864? 3 What is the remainder when 1544978215 is divided by 148? 147 What is the remainder when 1575895 is divided by 525259? 118 What is the remainder when 348331 is divided by 645? 31 Calculate the remainder when 40365 is divided by 206. 195 Calculate the remainder when 54556903 is divided by 152. 151 What is the remainder when 105101 is divided by 1114? 385 What is the remainder when 4354768 is divided by 483863? 1 What is the remainder when 1198476 is divided by 66? 48 What is the remainder when 6432533 is divided by 18975? 8 Calculate the remainder when 327538 is divided by 198. 46 Calculate the remainder when 476692852 is divided by 13. 12 What is the remainder when 25794 is divided by 934? 576 Calculate the remainder when 198217865 is divided by 9910893. 5 Calculate the remainder when 11848320 is divided by 11848320. 0 Calculate the remainder when 66325 is divided by 1342. 567 What is the remainder when 321107 is divided by 107029? 20 What is the remainder when 25987 is divided by 1069? 331 What is the remainder when 217697600 is divided by 11? 10 What is the remainder when 365303 is divided by 182549? 205 What is the remainder when 1602460 is divided by 675? 10 What is the remainder when 570354 is divided by 570321? 33 What is the remainder when 60539 is divided by 24? 11 What is the remainder when 1321345 is divided by 3968? 1 Calculate the remainder when 1149945 is divided by 244. 217 Calculate the remainder when 395287 is divided by 28. 11 Calculate the remainder when 364699 is divided by 2898. 2449 What is the remainder when 8920358 is divided by 517? 40 What is the remainder when 31651 is divided by 3149? 161 Calculate the remainder when 16437247 is divided by 2348167. 78 Calculate the remainder when 89349 is divided by 144. 69 Calculate the remainder when 4769903 is divided by 76. 67 Calculate the remainder when 598824 is divided by 66535. 9 What is the remainder when 138871 is divided by 1686? 619 Calculate the remainder when 200162 is divided by 199060. 1102 What is the remainder when 4481931 is divided by 43? 41 What is the remainder when 212443 is divided by 106218? 7 What is the remainder when 712227 is divided by 45? 12 Calculate the remainder when 26948086 is divided by 293. 290 Calculate the remainder when 23191355
{ "pile_set_name": "DM Mathematics" }
0, 26, 20, 12? 2 What is the next term in -67, -66, -73, -94, -135, -202, -301, -438? -619 What comes next: 9, -18, -85, -210, -411, -706, -1113? -1650 What is the next term in 135, 126, 131, 156, 207, 290, 411? 576 What is next in 15, 42, 107, 228, 423, 710, 1107? 1632 What is next in 8, -16, -26, -16, 20, 88, 194, 344? 544 What is next in -58, -61, -64, -67, -70? -73 What is next in 41, 83, 127, 173? 221 What comes next: 105, 82, 61, 42, 25, 10? -3 What is the next term in -28, -61, -96, -133, -172? -213 What is the next term in 29, 32, -49, -256, -631, -1216, -2053, -3184? -4651 What comes next: 155, 145, 121, 77, 7, -95, -235, -419? -653 What is the next term in 193, 759, 1701, 3019, 4713, 6783? 9229 What is the next term in 44, 116, 222, 362, 536? 744 What is the next term in -230, -229, -228, -227, -226, -225? -224 What is next in 26, 109, 246, 437, 682, 981, 1334? 1741 What is the next term in 201, 409, 617, 825, 1033, 1241? 1449 What comes next: -8, 3, 14, 25, 36? 47 What is next in 5, -3, -7, -1, 21? 65 What is the next term in 55, 109, 141, 139, 91, -15, -191, -449? -801 What is next in 37, 34, 31, 28, 25? 22 What is the next term in 30, 0, -54, -132, -234? -360 What is next in -27, -51, -91, -147, -219? -307 What is next in 4286, 4288, 4286, 4280, 4270, 4256? 4238 What comes next: -149, -303, -461, -623? -789 What comes next: -9358, -9359, -9360, -9361, -9362, -9363? -9364 What is the next term in -92, -339, -750, -1325, -2064, -2967? -4034 What comes next: 40, 47, 32, -17, -112, -265, -488, -793? -1192 What is next in 917, 3651, 8201, 14561, 22725? 32687 What comes next: -3, 20, 53, 102, 173? 272 What is the next term in 66, 20, -26, -72, -118? -164 What is next in 1749, 3501, 5255, 7011, 8769, 10529? 12291 What is the next term in 130, 525, 1184, 2107, 3294, 4745, 6460? 8439 What comes next: 75, 20, -39, -102, -169? -240 What is the next term in -1532, -1527, -1510, -1475, -1416? -1327 What is the next term in -280, -1124, -2532, -4504, -7040, -10140? -13804 What comes next: 7, 20, 45, 82, 131, 192? 265 What is the next term in -104140, -104141, -104142, -104143? -104144 What comes next: 22, 15, -18, -77? -162 What is next in -146, -292, -444, -608, -790, -996, -1232? -1504 What is next in 2, 30, 108, 260, 510, 882, 1400? 2088 What is next in -583, -594, -619, -664, -735, -838, -979, -1164? -1399 What is next in 10, 55, 182, 433, 850? 1475 What comes next: -276, -281, -288, -297? -308 What is next in 21, 45, 71, 99, 129, 161, 195? 231 What is the next term in -26, -41, -58, -77, -98, -121? -146 What comes next: -21, -22, -23? -24 What is next in -942, -1891, -2826, -3741, -4630, -5487, -6306, -7081? -7806 What is next in -2561, -2558, -2553, -2546? -2537 What is next in 162, 170, 180, 192, 206? 222 What comes next: 39, 49, 57, 63, 67? 69 What is next in 8118, 8116, 8114, 8112? 8110 What comes next: -34, -62, -102, -160, -242? -354 What comes next: -297, -297, -299, -303, -309, -317, -327? -339 What is the next term in 120, 246, 372, 498, 624? 750 What is the next term in 13, 63, 163, 325, 561, 883, 1303? 1833 What is the next term in -579, -578, -577, -576? -575 What is next in -111, -256, -401? -546 What is the next term in -154, -136, -112, -88, -70, -64, -76? -112 What is next in -197, -195, -193, -191, -189, -187? -185 What comes next: -17, -27, -49, -89, -153, -247, -377, -549? -769 What is the next term in -14, -11, -10, -11, -14? -19 What is next in 576, 1155, 1740, 2331? 2928 What is next in 305, 334, 413, 566, 817? 1190 What is next in -42, -64, -84, -102, -118? -132 What comes next: -6322, -6332, -6356, -6400, -6470, -6572? -6712 What comes next: 2464, 2453, 2440, 2425? 2408 What comes next: -1577, -3155, -4733, -6311, -7889? -9467 What is next in -689, -689, -687, -683, -677, -669? -659 What is next in 118, 112, 110, 112, 118, 128? 142 What comes next: 49, 122, 219, 352, 533, 774, 1087? 1484 What is the next term in 74, 91, 124, 179, 262, 379, 536, 739? 994 What comes next: 20, 33, 54, 83, 120, 165, 218? 279 What is the next term in -71, -79, -87, -95, -103, -111? -119 What is next in 14, 32, 64, 110, 170? 244 What is next in -247, -496, -745? -994 What is next in 628, 629, 630, 631, 632, 633? 634 What is next in -467, -469, -471, -473, -475, -477? -479 What is the next term in -184, -364, -546, -730, -916, -1104, -1294? -1486 What is next in 48, 114, 184, 258? 336 What is next in -33, -61, -83, -99, -109, -113, -111? -103 What comes next: 49, 98, 149, 202, 257, 314? 373 What comes next: 925, 924, 923? 922 What comes next: 1549, 3104, 4671, 6256, 7865, 9504? 11179 What is next in -111, -108, -105? -102 What comes next: -294, -287, -276, -261? -242 What comes next: 77, 69, 49, 11, -51, -143? -271 What is next in 16, 32, 44, 52, 56? 56 What is the next term in 642, 629, 600, 549, 470? 357 What comes next: 91, 127, 179, 253, 355, 491? 667 What comes next: 20, 75, 200, 431, 804? 1355 What comes next: 1378, 1367, 1352, 1333? 1310 What is the next term in -41, -176, -415, -770, -1253? -1876 What is next in 31, 56, 69, 64, 35? -24 What is the next term in 329, 322, 315, 308? 301 What is the next term in -699, -696, -693? -690 What is next in 12530, 12531, 12532? 12533 What comes next: 16, 45, 88, 145, 216? 301 What comes next: 327, 669, 1009, 1347, 1683, 2017? 2349 What is next in 200, 398, 596, 794? 992 What is the next term in -470, -469, -468, -467, -466, -465? -464 What is the next term in -32, -94, -208, -380, -616? -922 What is next in 56, 87, 118, 149, 180, 211? 242 What comes next: 71, 130, 201, 290, 403, 546, 725? 946 What comes next: 720, 1440, 2160, 2880? 3600 What comes next: 17, 10, -3, -22? -47 What comes next: -849, -851, -855, -861? -869 What comes next: -237, -465, -693, -921, -1149? -1377 What comes next: 75, 147, 215, 279, 339, 395, 447? 495 What is next in -230, -947, -2144, -3821, -5978, -8615, -11732? -15329 What is the next term in -724, -731, -740, -751, -764, -779, -796? -815 What is next in 96, 100, 102, 102, 100, 96? 90 What comes next: -598, -604, -620, -652, -706? -788 What comes next: 175, 178, 183, 190, 199, 210? 223 What is the next term in -791, -1571, -2349, -3125, -3899? -4671 What is the next term in -6, 57, 178, 369, 642? 1009 What is the next term in -244, -253, -266, -283, -304, -329, -358? -391 What comes next: -124, -247, -370, -493? -616 What is the next term in -263, -269, -273, -275, -275? -273 What is the next term in 261, 523, 785, 1047, 1309? 1571 What is next in -49, -30, 27, 140, 327? 606 What is next in 26620, 26619, 26618, 26617, 26616, 26615? 26614 What comes next: -166, -184, -216, -268, -346? -456 What is next in -288, -573, -858? -1143 What comes next: -27, -36, -45, -54, -63? -72 What is the next term in 21, 156, 403, 762, 1233, 1816? 2511 What is next in 3, 6, 41, 132, 303, 578, 981, 1536? 2267 What is next in -229, -221, -207, -187, -161, -129? -91 What comes next: 23, 27, 45, 83, 147, 243, 377, 555? 783 What is next in -9, -7, -9, -21, -49, -99, -177? -289 What comes next: 15, 58, 131, 234, 367? 530 What is the next term in 561, 566, 573, 582, 593, 606, 621? 638 What is the next term in -5, 10, 33, 64, 103? 150 What is the next term in -18, -33, -50, -63, -66, -53, -18, 45? 142 What is next in -7, -30, -69, -124, -195, -282, -385? -504 What is next in 4, 12, 32, 70, 132, 224, 352? 522 What is next in -75, -161, -275, -429, -635? -905 What is next in -40, -45, -42, -25, 12, 75, 170? 303 What comes next: -61, -56, -43, -16, 31? 104 What comes next: -36, -32, -18, 12, 64, 144? 258 What is next in -79, -84, -89? -94 What is the next term in 141, 131, 107, 63, -7, -109, -249, -433? -667 What comes next: 2405, 2397, 2385, 2369, 2349, 2325, 2297? 2265 What is next in -636, -1284, -1936, -2592, -3252? -3916 What is the next term in -116, -118, -118, -116, -112? -106 What is next in -38, -56, -72, -80, -74? -48 What is the next term in -1097, -1095, -1093, -1091? -1089 What comes next: 54, 83, 110, 135, 158? 179 What is next in -11, -27, -43? -59 What comes next: 1569, 1570, 1571, 1572, 1573, 1574? 1575 What is next in 2942, 5895, 8858, 11837, 14838, 17867, 20930? 24033 What is the next term in -21, -39, -57? -75 What is next in 56, 26, 8, 8, 32, 86, 176? 308 What is the n
{ "pile_set_name": "DM Mathematics" }
/323 Two letters picked without replacement from {i: 6, f: 12}. What is prob of picking 1 i and 1 f? 8/17 Three letters picked without replacement from {s: 13, f: 6}. What is prob of picking 1 s and 2 f? 65/323 Three letters picked without replacement from wtws. Give prob of picking 3 s. 0 Four letters picked without replacement from {y: 7}. What is prob of picking 4 y? 1 Calculate prob of picking 2 k and 2 h when four letters picked without replacement from hkuhuuzzkzkhkhkkhzh. 75/1292 What is prob of picking 2 u and 1 k when three letters picked without replacement from {u: 2, z: 2, l: 1, k: 1, n: 3, c: 3}? 1/220 Three letters picked without replacement from {a: 8, g: 3}. What is prob of picking 3 g? 1/165 What is prob of picking 1 v and 1 p when two letters picked without replacement from ptvpp? 3/10 Four letters picked without replacement from {j: 11, z: 7, b: 2}. Give prob of picking 2 z and 2 j. 77/323 What is prob of picking 1 c and 1 o when two letters picked without replacement from {b: 11, c: 1, o: 8}? 4/95 What is prob of picking 1 l and 3 d when four letters picked without replacement from ldddll? 1/5 Three letters picked without replacement from dwqchqwwdwdqcq. What is prob of picking 2 w and 1 c? 3/91 Three letters picked without replacement from titiiiyyi. Give prob of picking 1 t and 2 i. 5/21 Two letters picked without replacement from {x: 4, f: 3, v: 4, h: 3, g: 1, e: 5}. Give prob of picking 1 e and 1 f. 3/38 Three letters picked without replacement from ccwjepe. Give prob of picking 1 e, 1 w, and 1 c. 4/35 Two letters picked without replacement from {u: 3, e: 1}. Give prob of picking 1 e and 1 u. 1/2 Three letters picked without replacement from {o: 3, v: 17}. Give prob of picking 3 v. 34/57 Calculate prob of picking 1 y and 2 i when three letters picked without replacement from {i: 5, y: 1, z: 11}. 1/68 What is prob of picking 1 l and 3 q when four letters picked without replacement from uqqqllq? 8/35 Three letters picked without replacement from {i: 5, o: 2, q: 9}. What is prob of picking 3 i? 1/56 What is prob of picking 2 m and 1 d when three letters picked without replacement from {d: 3, m: 5}? 15/28 Two letters picked without replacement from plmpmppplrpplm. What is prob of picking 1 p and 1 m? 3/13 Calculate prob of picking 3 r when three letters picked without replacement from rrrrrrrrhrhrhr. 165/364 Three letters picked without replacement from {m: 2, b: 3, n: 4}. Give prob of picking 2 n and 1 b. 3/14 Calculate prob of picking 2 x and 1 a when three letters picked without replacement from {a: 11, n: 7, x: 1}. 0 What is prob of picking 2 l and 1 x when three letters picked without replacement from {h: 2, l: 2, x: 1}? 1/10 What is prob of picking 1 b and 1 j when two letters picked without replacement from ugjuuigugjcuujjibg? 4/153 What is prob of picking 4 g when four letters picked without replacement from ggggg? 1 What is prob of picking 1 b and 1 x when two letters picked without replacement from {r: 1, x: 6, b: 10}? 15/34 Four letters picked without replacement from vvvvkvvv. What is prob of picking 4 v? 1/2 Three letters picked without replacement from nrnwnvbbwnnnqwwb. What is prob of picking 2 w and 1 n? 9/140 Two letters picked without replacement from ossssssssssssssssss. Give prob of picking 1 o and 1 s. 2/19 Four letters picked without replacement from {n: 1, p: 11, h: 7}. Give prob of picking 1 n and 3 h. 35/3876 Two letters picked without replacement from {h: 3, l: 2}. What is prob of picking 2 h? 3/10 Calculate prob of picking 1 t and 2 g when three letters picked without replacement from {t: 11, y: 2, g: 2, x: 4}. 11/969 What is prob of picking 2 s when two letters picked without replacement from rrrss? 1/10 Calculate prob of picking 4 h when four letters picked without replacement from hhhhkhhkkkhhhh. 30/143 Calculate prob of picking 2 w when two letters picked without replacement from owwowwowwwww. 6/11 What is prob of picking 1 d and 2 i when three letters picked without replacement from iizzizd? 3/35 Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {s: 2, q: 16}. 5/17 What is prob of picking 1 t and 1 h when two letters picked without replacement from {r: 3, z: 6, t: 1, g: 4, h: 1, b: 4}? 1/171 Calculate prob of picking 1 v and 1 y when two letters picked without replacement from blybbbbyvbbbyvvbbvb. 4/57 Three letters picked without replacement from {d: 1, c: 8, t: 8, y: 2, e: 1}. What is prob of picking 1 d and 2 t? 7/285 Three letters picked without replacement from {y: 2, e: 1, m: 2, f: 2, x: 1, t: 1}. What is prob of picking 1 m, 1 f, and 1 x? 1/21 Three letters picked without replacement from {b: 1, y: 5, r: 3, i: 5, j: 1}. What is prob of picking 1 j, 1 b, and 1 r? 3/455 What is prob of picking 1 y and 1 k when two letters picked without replacement from {c: 3, k: 1, x: 4, y: 1, m: 4}? 1/78 What is prob of picking 2 m when two letters picked without replacement from {j: 1, y: 4, m: 3}? 3/28 What is prob of picking 1 r, 1 q, and 1 w when three letters picked without replacement from wtrwuuquwhwrrr? 4/91 Three letters picked without replacement from mfbcfbffbxxmffffcff. What is prob of picking 2 x and 1 c? 2/969 Two letters picked without replacement from {a: 8, h: 5}. Give prob of picking 1 a and 1 h. 20/39 What is prob of picking 2 k and 1 o when three letters picked without replacement from {o: 5, k: 2}? 1/7 What is prob of picking 2 v when two letters picked without replacement from cdcccccdcvvc? 1/66 Calculate prob of picking 2 b when two letters picked without replacement from wuibuuuwb. 1/36 Calculate prob of picking 2 x and 1 o when three letters picked without replacement from uoooopxoyoyoooxoyyu. 10/969 Calculate prob of picking 1 n and 1 f when two letters picked without replacement from {l: 2, r: 2, z: 8, f: 1, i: 1, n: 1}. 1/105 Three letters picked without replacement from {m: 2, l: 7}. What is prob of picking 3 l? 5/12 Calculate prob of picking 2 j when two letters picked without replacement from iiiijiiiij. 1/45 What is prob of picking 1 h, 1 a, and 1 n when three letters picked without replacement from hnnhnhhajj? 1/10 Two letters picked without replacement from {q: 3, g: 1, u: 4, x: 1, a: 2, i: 1}. Give prob of picking 2 u. 1/11 Calculate prob of picking 2 s and 1 g when three letters picked without replacement from ssmsmmmsssumfsmmgmg. 14/323 Two letters picked without replacement from uptaapmvpvmu. Give prob of picking 1 v and 1 a. 2/33 Calculate prob of picking 1 j and 1 c when two letters picked without replacement from vucjzzgc. 1/14 Four letters picked without replacement from {f: 4, r: 2, t: 5}. Give prob of picking 2 r, 1 t, and 1 f. 2/33 What is prob of picking 2 i and 2 a when four letters picked without replacement from aaaaiaaaiiaaaiiaiaa? 195/646 Two letters picked without replacement from kkkkigopkykyyygyo. What is prob of picking 1 p and 1 k? 3/68 Four letters picked without replacement from ttuqtut. What is prob of picking 1 q and 3 t? 4/35 Two letters picked without replacement from {x: 1, c: 1, b: 1, k: 1, p: 2, t: 1}. What is prob of picking 1 k and 1 t? 1/21 Three letters picked without replacement from kkkkkkkkkkzkk. Give prob of picking 1 z and 2 k. 3/13 What is prob of picking 1 o, 1 v, and 1 e when three letters picked without replacement from {v: 2, f: 2, o: 8, e: 7}? 112/969 Two letters picked without replacement from {v: 9, c: 5}. Give prob of picking 2 v. 36/91 What is prob of picking 2 z and 1 c when three letters picked without replacement from {c: 13, z: 2, v: 1, f: 1}? 13/680 Calculate prob of picking 3 m when three letters picked without replacement from mfmfffffmfmmff. 5/182 Three letters picked without replacement from {e: 1, h: 3, a: 7, u: 1}. What is prob of picking 1 u and 2 a? 21/220 What is prob of picking 1 g and 3 d when four letters picked without replacement from dddgddddgddd? 16/33 Calculate prob of picking 3 a when three letters picked without replacement from {d: 3, a: 12, c: 2, q: 3}. 11/57 Two letters picked without replacement from {k: 2, v: 5, r: 9, t: 2, a: 2}. Give prob of picking 1 v and 1 k. 1/19 What is prob of picking 2 i when two letters picked without replacement from kpi
{ "pile_set_name": "DM Mathematics" }
1 in ascending order. -5, -2, 1, 4, 27, 51, 62 Put 1/2, 0.09, -2710413 in decreasing order. 1/2, 0.09, -2710413 Put -123, -5, -379, 0.6, -2 in decreasing order. 0.6, -2, -5, -123, -379 Put 0.2, -0.103, 5, 10, 25, -2 in decreasing order. 25, 10, 5, 0.2, -0.103, -2 Sort -1, -73, 2157, -43 in ascending order. -73, -43, -1, 2157 Sort -9.4, 0.03, 6, 3, 2.9, -19 in increasing order. -19, -9.4, 0.03, 2.9, 3, 6 Sort -510419, 1, 5, -2 in increasing order. -510419, -2, 1, 5 Put -183, 33, -224 in decreasing order. 33, -183, -224 Sort 5, -29117, 6, 11 in decreasing order. 11, 6, 5, -29117 Sort -0.4, -4, 8/3653, -2/37 in ascending order. -4, -0.4, -2/37, 8/3653 Put 0.01, -4474, 1, 1/3, 3 in decreasing order. 3, 1, 1/3, 0.01, -4474 Sort -175, -2, -5, 0.5, 11/6, 1, 4 in decreasing order. 4, 11/6, 1, 0.5, -2, -5, -175 Put 4, 5, 31, -8, -6, -3 in descending order. 31, 5, 4, -3, -6, -8 Put -8, 5, 75, -3, -4, 0 in decreasing order. 75, 5, 0, -3, -4, -8 Put -2/9, -61, -4, -45351, 0.2 in decreasing order. 0.2, -2/9, -4, -61, -45351 Put 4/9, 0.3, 1/2, -712/5639 in increasing order. -712/5639, 0.3, 4/9, 1/2 Sort 0, -5, -9, -1, -46, -6. -46, -9, -6, -5, -1, 0 Put 796285, 4, -3, 1 in decreasing order. 796285, 4, 1, -3 Sort -389, 0, 3, -3518, -3, 6. -3518, -389, -3, 0, 3, 6 Sort -18236, -0.4, -143. -18236, -143, -0.4 Sort -178, 1462, 3 in ascending order. -178, 3, 1462 Put 2/5, 3, 38, -0.2, -5, -2.859 in descending order. 38, 3, 2/5, -0.2, -2.859, -5 Sort 4, -1, -3080, -4, 12, -2 in ascending order. -3080, -4, -2, -1, 4, 12 Sort -334, 2, -1.6. -334, -1.6, 2 Sort -0.25, 2/7, 0.11811, -4, 0.07 in ascending order. -4, -0.25, 0.07, 0.11811, 2/7 Sort -1, 0.2, -22/14403. -1, -22/14403, 0.2 Sort 11, 0.1, -1/5, 2, -0.3117 in ascending order. -0.3117, -1/5, 0.1, 2, 11 Put -1, 3332, 1.2, 4, 0.25 in decreasing order. 3332, 4, 1.2, 0.25, -1 Sort 0.2, -4, 4737, 1/2, -57.1, 4 in ascending order. -57.1, -4, 0.2, 1/2, 4, 4737 Sort 129, -15, -5, 12 in descending order. 129, 12, -5, -15 Sort 295, 6, -2, -60, 4, 19, 5 in descending order. 295, 19, 6, 5, 4, -2, -60 Put -17, 1, -51, -0.3, -1/2, -11/3 in ascending order. -51, -17, -11/3, -1/2, -0.3, 1 Sort 0.0571, -0.1, 205004 in increasing order. -0.1, 0.0571, 205004 Sort -154398, 4, -3, 5 in descending order. 5, 4, -3, -154398 Put -735, 2, 5, 228 in descending order. 228, 5, 2, -735 Sort 5, -1/5, -1, -108, -2/7, -21/2. -108, -21/2, -1, -2/7, -1/5, 5 Put 5, -84698, -439 in descending order. 5, -439, -84698 Sort 2.9, 705386, -1 in decreasing order. 705386, 2.9, -1 Sort -0.07, -32913, 3. -32913, -0.07, 3 Sort 14, -176, 3, 2, -32. -176, -32, 2, 3, 14 Sort 31, 3, 0, -3, 14/5, -1.62 in decreasing order. 31, 3, 14/5, 0, -1.62, -3 Put -588, -4, -2, 3, -5, -57, 4 in descending order. 4, 3, -2, -4, -5, -57, -588 Sort -2459, -5, 118, 2, 4. -2459, -5, 2, 4, 118 Sort 0, 3, -296, -11, -6215. -6215, -296, -11, 0, 3 Put -1984, 3, -3, -1, -452 in increasing order. -1984, -452, -3, -1, 3 Put -27, 1, 3, 201, 28, 5 in decreasing order. 201, 28, 5, 3, 1, -27 Put 64, -32, -10, 149 in ascending order. -32, -10, 64, 149 Put -3/4, -3, 4971, -129 in decreasing order. 4971, -3/4, -3, -129 Sort 2, 6702, 5, 4, 54 in decreasing order. 6702, 54, 5, 4, 2 Put -123, -1583, 248 in ascending order. -1583, -123, 248 Sort -939/5, 1/32, -0.5, -13/4. -939/5, -13/4, -0.5, 1/32 Put -3, -245, 2, 0, -57, -13, -4 in increasing order. -245, -57, -13, -4, -3, 0, 2 Sort -0.3, 3, 3/7, -10, 25, -750, 1 in descending order. 25, 3, 1, 3/7, -0.3, -10, -750 Sort 2041, -23, -5 in decreasing order. 2041, -5, -23 Sort 333, -780, -3, 4, -4. -780, -4, -3, 4, 333 Put -114, -14, -3, 70, -4 in descending order. 70, -3, -4, -14, -114 Put 2574, 0.2, -0.5, -5, -1/6 in descending order. 2574, 0.2, -1/6, -0.5, -5 Sort -359, -4, -3, -5, 157, 9 in ascending order. -359, -5, -4, -3, 9, 157 Sort -92, -0.7, 0, -1/497, 4, -1/2 in descending order. 4, 0, -1/497, -1/2, -0.7, -92 Sort -3, 30, -4, -5, 20/7, 4 in decreasing order. 30, 4, 20/7, -3, -4, -5 Sort -7/39, -1/2, 411, -2/17, -2/3 in decreasing order. 411, -2/17, -7/39, -1/2, -2/3 Sort 967, 1, 2196 in decreasing order. 2196, 967, 1 Put -6, 1, -39232, 32, 2 in descending order. 32, 2, 1, -6, -39232 Sort -5, -91969283, 2 in decreasing order. 2, -5, -91969283 Sort -2, -3, 5, -4, -1327, 0, 4 in descending order. 5, 4, 0, -2, -3, -4, -1327 Sort 16, -270801, 5 in descending order. 16, 5, -270801 Put 534, -18, -2/7, 2/9, 0.5, 0.17 in descending order. 534, 0.5, 2/9, 0.17, -2/7, -18 Put -5, 1, -4, -11, 0, -1, -86 in descending order. 1, 0, -1, -4, -5, -11, -86 Sort -13, -5540, -85. -5540, -85, -13 Sort -1.197, 12, -31. -31, -1.197, 12 Put -38367, -0.5, -217 in descending order. -0.5, -217, -38367 Put -4, 61, 3, -3, -1727 in decreasing order. 61, 3, -3, -4, -1727 Sort 1, 4874, 3, -238, 4 in descending order. 4874, 4, 3, 1, -238 Sort -18, -2, 21, -6, 5, -79, -1 in descending order. 21, 5, -1, -2, -6, -18, -79 Sort 5, 0.165, 7, -3, -2/3, 4, -0.3 in decreasing order. 7, 5, 4, 0.165, -0.3, -2/3, -3 Sort -0.1, -3/7, 1210.3, -4, 5, 0.4 in descending order. 1210.3, 5, 0.4, -0.1, -3/7, -4 Put 10, -37, -5, 13, 5, -6, 0 in decreasing order. 13, 10, 5, 0, -5, -6, -37 Put -1045, 5, 3, 9.84 in decreasing order. 9.84, 5, 3, -1045 Put 2, 126, 1, 3, -2, -612 in decreasing order. 126, 3, 2, 1, -2, -612 Sort -26, 31889, 27 in increasing order. -26, 27, 31889 Put 159, -11, 4, -19, 2, -1, -5 in increasing order. -19, -11, -5, -1, 2, 4, 159 Put -5, -8, 6, -35341 in increasing order. -35341, -8, -5, 6 Sort -14, 10, 1, -4, 5, -7, -87 in increasing order. -87, -14, -7, -4, 1, 5, 10 Sort -4, -3, -22, 0, -149, 40 in ascending order. -149, -22, -4, -3, 0, 40 Sort -0.5, -55, 2, -2/3, 6806, 1. -55, -2/3, -0.5, 1, 2, 6806 Sort -14/236791, -3/7, 51. -3/7, -14/236791, 51 Sort -162, -17475, 0.3, -2 in decreasing order. 0.3, -2, -162, -17475 Sort 44, 209, -4617, 3 in increasing order. -4617, 3, 44, 209 Put -25, 0, 19, -4, -3, 72, 3 in decreasing order. 72, 19, 3, 0, -3, -4, -25 Sort -28, 53, -0.1, -8, -4 in decreasing order. 53, -0.1, -4, -8, -28 Sort 216, -0.1362, -11 in ascending order. -11, -0.1362, 216 Sort -1, 52, -74, 37 in descending order. 52, 37, -1, -74 Put 0.048, -52, -28, -2, -0.2 in descending order. 0.048, -0.2, -2, -28, -52 Sort -14/11, -5/679, -0.1 in decreasing order. -5/679, -0.1, -14/11 Put -1, 5, -7, 285, -2, 8, -3 in descending order. 285, 8, 5, -1, -2, -3, -7 Put -1, 15, -564590, -3, 3, -4 in ascending order. -564590, -4, -3, -1, 3, 15 Put 9732, 5, 3.5, 9/17 in descending order. 9732, 5, 3.5, 9/17 Put 5, 4, -1, 8619 in descending order. 8619, 5, 4, -1 Sort -6, 41208, 9 in increasing order. -6, 9, 41208 Sort 1/5, -16110, -0.23, 1 in increasing order. -16110, -0.23, 1/5, 1 Put -3, 4, 42, 5, -269012 in descending order. 42, 5, 4, -3, -269012 Sort -727, -56, -186 in descending order. -56, -186, -727 Sort -4, 426, -1, 28, 15. -4, -1, 15, 28, 426 Put -6417, 15/11, 12/11 in increasing order. -6417, 12/11, 15/11 Put -10061, -0.5, -2/5 in ascending order. -10061, -0.5, -2/5 Sort 465, 16, -47, 2, 0 in decreasing order. 465, 16, 2, 0, -47 Put 6, -682236, -4 in decreasing order. 6, -4, -682236 Put 39.9, -2/3, 0.2, -30.1 in decreasing order. 39.9, 0.2, -2/3, -30.1 Sort -80477, -871, 1/4 in descending order. 1/4, -871, -80477 Sort -4, -1, -1.03, -7, -0.178 in decreasing order. -0.178, -1, -1.03, -4, -7 Put -1432, -342/7, 1, 0, -0.5 in descending order. 1, 0, -0.5, -342/7, -1432 Sort -50, -4, 6, -2, 0, 25 in descending order. 25, 6, 0, -2, -4, -50 Sort -161.5, -2, 2/5, 4 in decreasing order. 4, 2/5, -2, -161.5 Sort -8890, 2.1, -64, 0.5 in decreasing order. 2.1, 0.5, -64, -8890 Put -4, 7, 1771653 in descending order. 1771653, 7, -4 Put 0.04, 2119, 13, -4, 2/9 in descending order. 2119, 13, 2/9, 0.04, -4 Sort -133, 3049, 34 in descending order. 3049, 34, -133 Put 28, -2/15, 30, -0.42, 5/6, -10 in descending order. 30, 28, 5/6, -2/15, -0.42, -10 Put 11, -5, -7808030 in descending order. 11, -5, -7808030 Sort -0.6, 4, -0.4, -0.7, 3, -45838 in descending order. 4, 3, -0.4, -0.6, -0.7, -45838 Sort 4, 523, 6, 2/1715 in decreasing order. 523, 6, 4, 2/1715 Put 4, -1/30, -0.1, -226688 in increasing order. -226688, -0.1, -1/30, 4 Put 2, -0.3, -47/40, -0.5, -5 in increasing order. -5, -47/40, -0.5,
{ "pile_set_name": "DM Mathematics" }
372 minutes after 12:45 AM? 6:57 AM What is 557 minutes after 11:12 AM? 8:29 PM What is 98 minutes after 1:41 PM? 3:19 PM How many minutes are there between 6:21 PM and 8:37 PM? 136 What is 195 minutes after 7:02 PM? 10:17 PM What is 366 minutes after 1:48 PM? 7:54 PM How many minutes are there between 9:14 PM and 1:39 AM? 265 How many minutes are there between 9:53 AM and 3:59 PM? 366 What is 279 minutes before 1:05 PM? 8:26 AM What is 643 minutes before 9:49 AM? 11:06 PM How many minutes are there between 3:34 PM and 9:02 PM? 328 How many minutes are there between 10:07 PM and 7:51 AM? 584 What is 399 minutes after 4:24 PM? 11:03 PM How many minutes are there between 6:50 AM and 9:54 AM? 184 How many minutes are there between 12:13 PM and 7:25 PM? 432 How many minutes are there between 6:11 PM and 5:38 AM? 687 How many minutes are there between 11:20 PM and 3:23 AM? 243 What is 317 minutes after 5:53 PM? 11:10 PM What is 71 minutes after 2:59 AM? 4:10 AM How many minutes are there between 1:42 PM and 8:16 PM? 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3:50 AM What is 582 minutes after 10:45 PM? 8:27 AM What is 680 minutes before 7:17 PM? 7:57 AM What is 480 minutes before 11:54 PM? 3:54 PM What is 628 minutes after 6:01 AM? 4:29 PM How many minutes are there between 9:20 AM and 5:32 PM? 492 What is 532 minutes after 7:21 PM? 4:13 AM How many minutes are there between 2:24 PM and 12:49 AM? 625 How many minutes are there between 11:40 PM and 11:46 PM? 6 What is 584 minutes before 12:13 PM? 2:29 AM What is 341 minutes after 10:49 AM? 4:30 PM What is 488 minutes after 7:02 PM? 3:10 AM What is 439 minutes after 12:52 PM? 8:11 PM What is 445 minutes before 1:11 PM? 5:46 AM How many minutes are there between 8:42 PM and 7:49 AM? 667 What is 472 minutes before 2:11 AM? 6:19 PM How many minutes are there between 2:24 AM and 1:27 PM? 663 What is 596 minutes after 8:36 PM? 6:32 AM What is 98 minutes after 9:59 PM? 11:37 PM What is 423 minutes after 5:59 PM? 1:02 AM What is 564 minutes after 9:53 AM? 7:17 PM What is 505 minutes after 10:49 PM? 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{ "pile_set_name": "DM Mathematics" }
m. -6 Solve -2*a + 0*a + r = -12, 3*a = -4*r + 7 for a. 5 Solve 0*p + 2*p = 4*t - 6, 18 = -3*t - 3*p for t. -1 Solve -u = -5*x + 27, -2*x + 12*u - 9*u + 3 = 0 for x. 6 Solve -t + x + 5 = t, 0 = 3*t - 2*x - 9 for t. 1 Solve 0*l = 4*a - 2*l - 6, -3*l = 3 for a. 1 Solve 5*c + 3*d = 4*d + 21, 3*c - 11 = -d for c. 4 Solve -p = -36*y + 39*y - 11, -5*p = 2*y - 29 for p. 5 Solve -2*l + 0 = 5*n + 12, 0 = 4*l - n + 2 for l. -1 Solve -r - p - 3*p = 4, -2*p = 0 for r. -4 Solve 21 = -5*m - 4*o, -2*m + 9 = -o + 7 for m. -1 Solve 4*z + 4 = 5*p, 2*z - 7 = 4*p - 15 for p. 4 Solve -21 = -3*m - 3*a, -104*m = -106*m + 3*a - 1 for m. 4 Solve -2*k - 10 = -4*v, -4*v - 1 = -k - 12 for v. 3 Solve 14*s + 16 = 16*s - 4*w, 3*s = w + 14 for s. 4 Solve 0 = -j + 2*j + 5*q + 26, -q - 5 = 0 for j. -1 Solve 2*i = -3*n - i - 9, -3*i - 4 = -2*n for n. -1 Solve 4*n = -k - 9, -9 = 3*n - 2*k + 6 for n. -3 Solve 20 = -u - 5*d, 3*d - 2 + 11 = 0 for u. -5 Solve -14*y + 5*n = -16*y, 2*n - 1 = -y for y. 5 Solve v - 9 = 4*u, u - 2*u = -v for u. -3 Solve 0 = 5*m + 524*d - 526*d + 12, 4 = -2*m + d for m. -4 Solve 15 = -0*t - 5*t - 5*l, -t - 2*l - 5 = 0 for t. -1 Solve 0 = d + 5*z - 5, -4*d - 4*z = -0*d + 12 for d. -5 Solve -z - 2*z + n - 9 = 0, -5*z - 4 = 2*n for z. -2 Solve 5*z = 6*t - 5*t + 5, 2*z = 4*t + 2 for z. 1 Solve 0 = f - 5*g - 10, -5*f = -3*g + g - 27 for f. 5 Solve 4 = -3*w - 3*s + 10, -s - 6 = -w for w. 4 Solve -3*o = -2*p - 3, 40*p + 24 = 43*p + 5*o for p. 3 Solve 4*h + 5*t = -11, -2*t - 8 - 1 = -3*h for h. 1 Solve -22*y + 12 = -19*y, -3*d - y + 19 = 0 for d. 5 Solve 0 = -2*v, -37*x + 5*v = -41*x + 20 for x. 5 Solve -52*n + 20 = s - 48*n, 5*n - 25 = -4*s for s. 0 Solve 0 = 4*v - c + 21, -v + 28 = -6*v + 3*c for v. -5 Solve 0 = 5*m + f + 2, 3*m = 8*m - 5*f - 10 for m. 0 Solve -6*n + 0*p = -p, 3*p = -2*n for n. 0 Solve 21 = -5*k + 2*d, 4*d + 18 = -2*k - 0*d for k. -5 Solve -5*j = 3*v - 19, -5*j + 2*v = -2*j - 19 for j. 5 Solve 0 = 2*i + i + 4*k + 9, -2*i - k - 6 = 0 for i. -3 Solve -4*x - 3*u - 15 = -8*x, -3*u - 15 = 2*x for x. 0 Solve k + 3*v - 2 = 1, v + 6 = 2*k for k. 3 Solve o + 3 = 4*v, -5*o + 15 = -5*v - 0*v for v. 2 Solve 15 = -0*k + 3*k, z - 2*k = -12 for z. -2 Solve 3*g + 22 = 6*g - 2*y, 0 = 5*g - 2*y - 30 for g. 4 Solve j + 2*d = 4, -13*j = -12*j - d - 4 for j. 4 Solve -5*i + 5 = 5*q, 0*i + 3 = -3*i for q. 2 Solve -4*n = 4*u - 28, 4*n + 7 = -2*u + 9*n for u. 4 Solve -3*t - 4*b = 105 - 94, 0 = 5*t + 5*b + 15 for t. -1 Solve 0 = -3*r + 12, 2*j + 23 = 5*j + 2*r for j. 5 Solve 5*g - 4*a + 1 = 6, g - 17 = 4*a for g. -3 Solve -3*i + 6*i = 3*a + 12, 4*i = -3*a + 23 for i. 5 Solve 8*w - 6*w - 5*t + 9 = 0, -3*w - 2 = 4*t for w. -2 Solve -20 = 5*q, -3*m + 7 = -8*m + 2*q for m. -3 Solve -k + 11 = 5*l, -46*k = -5*l - 49*k + 13 for l. 2 Solve p + p - 4 = 4*j, -2*j - 3*p + 14 = 0 for j. 1 Solve -9*f = -6*f - 5*j - 10, -f = -4*j - 15 for f. -5 Solve 2*p = -2*s + 12, -2*s - p + 14 = 3*p for s. 5 Solve -2*m = -f + 5, -f - m = -3 + 1 for f. 3 Solve 5*c + 12 = -5*b + 17, 22 = -2*b + 4*c for b. -3 Solve -7*u = -11*u + 5*v + 36, v + 4 = 0 for u. 4 Solve -u = -2*r + 4, -4*u + 6*r - 2 = 14 for u. -4 Solve 2*r + 3*p + 11 = 0, 2*r + 515*p - 517*p = 14 for r. 2 Solve n = -4*d, 25*n = 29*n - 3*d for n. 0 Solve -4*g - 5*n + 14 = 0, -439*n + 440*n = 3*g - 1 for g. 1 Solve -v = 4*a + 10, -8 - 6 = -v + 4*a for v. 2 Solve -14 = 5*g + 2*u, -22 = 4*g - u - u for g. -4 Solve -w + 52*m + 10 = 49*m, 0 = -2*w + 3*m + 5 for w. -5 Solve 6*l - 3*l + 5*o = 8, 0 = -5*l + 5*o - 40 for l. -4 Solve -5*g + 7*m - 12 = 4*m, 3*m - 12 = -2*g for g. 0 Solve 5*m + 17 = -3*t + 6*t, 5*m = -5 for t. 4 Solve 0 = -5*v - 10, 6*f - 7*f - 11 = 3*v for f. -5 Solve -11 = 2*q + t, 0 = -3*t - 5 - 10 for q. -3 Solve -38*h - 4 = -36*h + 2*a, 0 = -h - 5*a + 2 for h. -3 Solve k = -1, 4*u + 3*k = 6*u + 1 for u. -2 Solve -2*m = -o - 1, -o = -5*o - 2*m + 6 for o. 1 Solve x = -l + 7 - 0, -4*l + 24 = 3*x for l. 3 Solve -5*d + 3 = -4*c - 27, 5*d + 2*c = 0 for d. 2 Solve -3*l = -y + 3*y - 5, -l + 5*y - 21 = 0 for l. -1 Solve 4*f = 8*h - 4*h - 4, -4*f - 4 = 2*h for f. -1 Solve 16 = -2*v - 3*z, -v + 3*z - z = -6 for v. -2 Solve 0 = 5*y + 3*k - 8, -22 = -5*k - 17 for y. 1 Solve -2*j + 2 = r, -3*r + 0*j + 2 = 4*j for r. -2 Solve a + 4*h - 13 - 2 = 0, 4*a - 4*h = 0 for a. 3 Solve -35*j + 40*j + 2*i + 6 = 0, -10 = -5*i for j. -2 Solve -2*o - 3*m = -4, 0 = -3*m - 0*m for o. 2 Solve -8 = -3*n + 7*q - 5*q, 5*q - 3 = -4*n for n. 2 Solve 9 = h + 2*q + 2*q, -3*h + 5*q - 24 = 0 for h. -3 Solve -a - 1 = -5*r, 0 = -4*r - 3*a + 4*a for r. 1 Solve 2*g - 4*g - 1 = -5*j, 2*g - 3*j + 3 = 0 for g. -3 Solve 3*h - 76 = 5*w - 75, -8 = -4*w - 2*h for w. 1 Solve 2*w - 4*w + 6 = p, 12 = 2*w + 4*p for w. 2 Solve 3*b + 6 = -8*u + 7*u, -4*b - 9 = u for u. 3 Solve 0 = 2*b - 5*n - 12, -9 = -5*b + 5*n - 3*n for b. 1 Solve 3*o + o + 2*a - 2 = 0, 2*o + 4*a = -8 for o. 2 Solve 4*g = 13*y - 12*y - 3, -3*y - 21 = 3*g for y. -5 Solve -4*q + 3*q + 3*i = 14, -4 = 2*q + 2*i for q. -5 Solve 0 = 2*z - 5*d - 6, 31*d - 6 = 34*d for z. -2 Solve 2*k = 5*n - 3, n = -k - 4*n + 6 for k. 1 Solve 4*x = 3*o - 7*o - 32, -o + 4*x + 12 = 0 for o. -4 Solve 5*x = 3*r - 12, -1 = -x - 3*r - 7 for x. -3 Solve -2*x = 2*n - 4, 2*n - 14 = -x - 3*n for x. -1 Solve -2*h = 2*t - 16, -t - 3*t + 2*h = -2 for t. 3 Solve -5*a + 28 = -x, 2*x + 5*a - 14 - 5 = 0 for x. -3 Solve -6 = -0*m + m - 4*o, 2*o - 10 = -3*m for m. 2 Solve 4*y - 5 - 3 = 3*q, -4*y = -8 for q. 0 Solve 4*x = 2*u - 20, 3*x + 7 = -u + 2 for u. 4 Solve -16 = -4*n + x, 4*x = 42*n - 38*n - 28 for n. 3 Solve m = -5*n + 5, 0 = -5*n + 4*m - 3 + 8 for n. 1 Solve t - 5 = c, t = 3*c + 3*t for c. -2 Solve -3*c + 6*c + h + 11 = 0, -13 = 5*c + 3*h for c. -5 Solve 5*m = -3*y - 26, 2*y + 10 = -4*m + 5*y for m. -4 Solve 55*r - 14 = 60*r + 4*y, 22 = -3*r + y for r. -6 Solve -4*s + 2 = -3*x - 6*s, -3*s - 1 = 4*x for x. -4 Solve -2*s = -5*i - 25, -4*s + i = 16 - 39 for s. 5 Solve 0 = -2*k + 2*t + 12, -9 - 5 = -k + 3*t for k. 2 Solve 4*h = 16, -j + 53 = 4*h + 33 for j. 4 Solve 4*c = h - 5, 8*c - 4*h - 4 = 4*c for c. -2 Solve -5*n + 9*n = -3*c + 6, 5 = 2*c + 3*n for c. -2 Solve s - 3*k + 3 = -1, 20 = 5*s + 5*k for s. 2 Solve 3*w + 14 = 5*h, -4*w - 7 = 27*h - 22*h for w. -3 Solve -f + 9 = 3*y + y, 0 = -4*y + 4*f + 24 for y. 3 Solve 0 = -16*k + 20*k + 20, -5*h + 2*k = -20 for h. 2 Solve -o + m = 0, -4*o - 5*m = -6*o + 9 for o. -3 Solve u + 4*k = 17, 0 = u + u - k + 2 for u. 1 Solve 3*f = 5*x - 34, 0 = f + x - 5 + 3 for f. -3 Solve 0 = 4*i - 9*i + k + 6, 3*i - 5 = 2*k for i. 1 Solve -3*d - 4 = -2*g, -1 = 5*d - g + 8 for d. -2 Solve -t + w + 3 - 13 = 0, -3*w + 15 = 0 for t. -5 Solve -4*s - 28 = -21*r + 17*r, 4*r - 13 = -s for r. 4 Solve 0 = 5*n + 3*r + 11, 0 = -5*n - 39*r + 35*r - 13 for n. -1 Solve 0*c = 3*c + 2*n + 17, 3*n + 28 = -5*c for c. -5 Solve 22 = -4*y + z, 60*z - 57*z - 18 = 0 for y. -4 Solve -4*u - 10 = 2*w, u - 3*w + 8 + 5 = 0 for u. -4 Solve i = 3*p + 2, 0 = -2*i - 0 - 8 for p. -2 Solve 19 = 2*t + 5*i, 4*t - 48*i = -53*i + 23 for t. 2 Solve -2*a + a - 4 = 4*w, 4*w = 4*a - 4 for w. -1 Solve 4*m + 2*r + 8 = 4*r, 5*r - 20 = -4*m for m. 0 Solve 4*g = 2*u + g - 21, -25 = -5*u + 2*g for u. 3 Solve -4*s = -4*a + 12, -3 = -5*s + 6*s + 4*a for s. -3 Solve -p - n + 9 = n, -5 = -n for p. -1 Solve -26*r - 4 = 4*n - 27*r, -4*n - 4*r - 24 = 0 for n. -2 Solve 2*n = -3*u - 10, 0 = 4*n - 9*n - 4*u - 18 for n. -2 Solve -b + 0*x = -2*x - 10, -5*x - 14 = 3*b for b. 2 Solve 0 = -5*p + 3*s + 35, 0*s = -5*p - 3*s + 5 for p. 4 Solve -3*x = -2*m + 3, 8*m = -x + 3*m + 16 for x. 1 Solve u + 17 = -3*m - 0*u, -2*u + 11 = -3*m for m. -5 Solve 5*k = l + 23, -6 = 4*k + 3*l - 13 for k. 4 Solve -d + 7 = -4*k, -k = -d + 2*d + 8 for k. -3 Solve -15 = 5*y + 4*b - 3, -2*y - b = 6 for y. -4 Solve 2*x - 8*v - 10 = -9*v, 5*x = -v + 19 for x. 3 Solve 52*i - 5*j = 53*i + 17, 7 = -2*i - j for i. -2 Solve 0*g + 2*g + 1 = -f, -35 = 5*f - 5*g for f. -5 Solve q = 4*q - 2*y - 4, 3*y + 19 = -2*q for q. -2 Solve -1 = u - 2*c, 5*c = u + 16 - 9 for u. 3 Solve -u + 7*a + 18 = 16, -5*u - 5*a = -10 for u. 2 Solve 1 = -5*p - r, 5*p - 6*p + 3*r = 13 for p. -1 Solve 5*m + 23 = 4*n, -38*n + 41*n - 12 = 2*m for n. 2 Solve 0 = x - 5*v + 2, -5*x + 3 = -3*x - 3*v for x. 3 Solve 34*h - 36*h = i + 10, -3*i - 12 = -3*h
{ "pile_set_name": "DM Mathematics" }
= -4 - -6. Let c = j - y. Let s(r) = 6*r - 4. Give c*w(f) + 3*s(f). 2*f - 4 Let u(b) = -1618*b - 18. Let l(c) = -6373300*c - 70905. Give 6*l(d) - 23635*u(d). 1630*d Let u(n) = -621*n**2 + 20*n + 10. Let p(k) = 2*k**2 - 5*k - 2. Determine -5*p(y) - u(y). 611*y**2 + 5*y Let m(u) = 5*u**3 - u**2. Let r(l) = 25*l**3 + 820*l**2. Determine -3*m(v) + r(v). 10*v**3 + 823*v**2 Let n(d) = -2*d**3 - 3*d**2. Let w(s) = -s**2 + 11*s + 22. Let x be w(13). Let h(k) = k**2 - 12*k + 2*k**3 + 12*k + 3*k**2. What is x*n(z) - 3*h(z)? 2*z**3 Let s(p) = p. Let w(q) = -1. Suppose -30*k + 3*b = -32*k + 1, 2*k = -2*b. Suppose 3*t + t = -4*x, 2*x - 2*t = -16. Give k*w(h) + x*s(h). -4*h + 1 Let a(p) = -p. Let l = -15469 + 15468. Let s(t) = 3*t - 1. Determine l*s(j) - 5*a(j). 2*j + 1 Let m(c) = 3 - 2 - 790000*c + 789999*c. Let q(y) = 3*y + 4. Determine 4*m(o) - q(o). -7*o Let d = -678 - -680. Let w(o) = 5*o**2 - 2*o**2 + 6*o**d - o + 6*o**2. Let f(u) = 16*u**2 - 2*u. Give 3*f(n) - 4*w(n). -12*n**2 - 2*n Suppose -412 = 7*q - 426. Let v(f) = -18*f + 2. Let a(j) = -558*j + 63. Calculate q*a(w) - 63*v(w). 18*w Let b(n) = -63*n**2 - 11*n - 8. Let h(u) = 3*u**2 - 2*u - 2. Let t(f) = -b(f) + 2*h(f). Let s(o) = 103*o**2 + 10*o + 6. Determine 5*s(c) - 7*t(c). 32*c**2 + c + 2 Let b(i) be the second derivative of i**4/3 - i**3 + 3*i**2/2 - 2488*i. Let u(s) = 4*s**2 - 5*s + 3. Calculate -4*b(v) + 5*u(v). 4*v**2 - v + 3 Let i(h) = -10 - 36366*h + 36367*h + 10 + h**2. Let d(p) = -6*p**2 - 6*p. Give d(t) + 3*i(t). -3*t**2 - 3*t Let b(u) = 57*u**2 - 2*u + 24. Let n(s) = s**3 + 399*s**2 - 15*s + 169. Determine -15*b(f) + 2*n(f). 2*f**3 - 57*f**2 - 22 Let n(k) = 1. Let g(d) = 7*d**3 + 1. Let h be 5636/20 + (-28)/35. Let c = 282 - h. What is c*g(z) - n(z)? 7*z**3 Let v(u) = 6*u**2 + 35*u + 35. Let x(d) = 7*d**2 + 35*d + 28. Give 4*v(z) - 5*x(z). -11*z**2 - 35*z Let q(w) = -6*w**2 - 17*w - 1. Let i(a) be the second derivative of a**4/3 + 11*a**3/6 + a**2/2 + 3356*a. Calculate 8*i(g) + 5*q(g). 2*g**2 + 3*g + 3 Let c(p) = -12*p**2 - 4*p - 4. Suppose 51 = -80*u - 448 - 141. Let a(h) = h**2 - h - 1. Give u*a(k) + 2*c(k). -32*k**2 Suppose -98*r + 90*r = 8. Let g(t) = t**2 + t - 1. Let w(m) = 10*m**2 + m. Give r*g(l) + w(l). 9*l**2 + 1 Let i(s) = -s - 2. Let b(u) = -u**2 + u. Let g be (48/18)/(-8) - 14/(-6). Let v(a) = -18*a - a**g - 9 - 8 - 16. Let f be v(-16). Give f*i(t) - 3*b(t). 3*t**2 - 2*t + 2 Let g(r) = -86*r - 7. Let o(z) = 163*z + 13. Determine 13*g(w) + 6*o(w). -140*w - 13 Let a(v) be the first derivative of 2*v**3/3 - 5*v**2/2 - 3430. Let i(z) = z**2 - 2*z. Determine 3*a(d) - 5*i(d). d**2 - 5*d Let w(c) = c**2 + 1. Let p be -6 - (-7 + (10 - 5)). Let m(q) = 6*q**2 - 2*q + 3. Calculate p*w(u) + m(u). 2*u**2 - 2*u - 1 Let n(c) = -4*c**2. Let b(a) = a**2 + 14*a + 7. Let v(y) = -6*y - 3. Let w(h) = -3*b(h) - 7*v(h). Suppose i = 3*i - 6. What is i*w(s) - 2*n(s)? -s**2 Suppose 13*q + 12 = 17*q. Suppose -o - q*z = -15, o + z = -4*z + 25. Let j(p) = 3 + 0*p - 2 + o*p + p. Let c(f) = -2*f**2 + f + 3. Calculate c(r) - j(r). -2*r**2 + 2 Let m(i) = -7*i**3 + 72*i**2 + 36*i. Let n(v) = 15*v**3 - 143*v**2 - 76*v. What is 13*m(h) + 6*n(h)? -h**3 + 78*h**2 + 12*h Let u(n) = -32*n**2 + 9*n - 22. Let l(a) = -97*a**2 + 27*a - 58. What is -3*l(c) + 8*u(c)? 35*c**2 - 9*c - 2 Let j(o) = -25 - 3*o + 13 + 1 + 0 + 2. Let w(g) = -g - 3. Let c(l) = 5*l + 6. Let x be c(-4). What is x*w(d) + 4*j(d)? 2*d + 6 Suppose 56*b + 59 = 283. Let k(q) = -3*q**3 - 2*q**2 + 6*q. Let r(g) = -3*g**3 - 2*g**2 + 5*g. What is b*k(t) - 5*r(t)? 3*t**3 + 2*t**2 - t Let r(o) = -13*o - 1. Let n(b) = -14710 - 10*b + 7*b + 14710. What is 18*n(j) - 4*r(j)? -2*j + 4 Let i(n) = -2*n + 2. Let j be i(3). Let p(g) = -g - 1. Let a(b) be the third derivative of 0 + 10*b**2 + 1/24*b**4 + 0*b + 1/6*b**3. What is j*p(c) - 3*a(c)? c + 1 Let w(u) = 297716*u**2 - 263*u + 526. Let c(v) = 2273*v**2 - 2*v + 4. Calculate -263*c(n) + 2*w(n). -2367*n**2 Let a(q) = -3*q - 1. Let v(x) = 6328*x + 2373. What is -2373*a(g) - v(g)? 791*g Let r(v) = -17 - 2 - 4*v**3 + 9*v + 5*v**2 + 15. Let b(m) = m**3 - m**2 - m + 1. Determine -5*b(p) - r(p). -p**3 - 4*p - 1 Let f(o) = -390*o + 900. Let n(z) = -174*z + 400. Calculate 9*f(m) - 20*n(m). -30*m + 100 Let m = 614 - 620. Let r(b) = -b**3 + 2. Let k(i) = -3*i**3 - 2*i**2 + 6. Let q(d) = -3*k(d) + 6*r(d). Let f(t) = t**2 - 1. Determine m*f(u) + q(u). 3*u**3 Let g(d) = d + 1. Suppose -8*a - 30 = -3*a. Let q(w) = w + 1. Let y(c) = 1. Let s(m) = -3*q(m) - 5*y(m). Determine a*g(f) - s(f). -3*f + 2 Suppose 136*w + 93 = 139*w. Let q(p) = -6*p - 31 + 7*p + w. Let n(s) = -s + 1. Let a(u) = -u. Let r be a(1). Give r*q(l) - 2*n(l). l - 2 Let i(f) = 21*f**2 - 23*f - 121. Let x(p) = 2*p**2 - 2*p - 1. Calculate -2*i(m) + 22*x(m). 2*m**2 + 2*m + 220 Let r(y) = y**3 - 2*y**2 + y + 3. Let f(a) = -2*a**3 + 4*a**2 - 3*a - 7. Suppose 139*i - 239*i = 700. Let n = -6 - -3. Determine i*r(x) + n*f(x). -x**3 + 2*x**2 + 2*x Let p(z) = 628*z**2 + 3. Let k(b) = 3136*b**2 + 16. Give 2*k(w) - 11*p(w). -636*w**2 - 1 Let f(q) = q**2 - q - 1. Let y = -918 + 929. Suppose y - 9 = -o - k, -o - 2*k - 3 = 0. Let p(w) = 2*w**2 + w - 4. Determine o*p(c) + 4*f(c). 2*c**2 - 5*c Let u(n) = 1440169*n**2 + 5 - 1440163*n**2 - 3*n + 8*n. Let t(q) = 6*q**2 + 4*q + 4. Let w be 2 + (-8)/(-2) + -2. Give w*u(i) - 5*t(i). -6*i**2 Suppose -52*l = -51*l - 3*m + 14, -2*m + 6 = 0. Let i(n) = -5*n - 2. Let y(j) = 11*j + 3. What is l*i(f) - 2*y(f)? 3*f + 4 Let q(r) = -896*r**3 + 146*r - 144. Let o(j) = 56*j**3 - 9*j + 9. What is 33*o(i) + 2*q(i)? 56*i**3 - 5*i + 9 Let u(h) = h**2 + h. Let o(k) = 4*k**3 - 6*k**2 - 5*k. Suppose y = -40*v + 37*v + 2063, -v - 3*y = -701. Let j = v + -681. Give j*u(t) + o(t). 4*t**3 - t**2 Let n(k) = -13*k**3 + 11*k**2 - 82*k + 72. Let g(b) = 7*b**3 - 6*b**2 + 43*b - 36. Give 11*g(a) + 6*n(a). -a**3 - 19*a + 36 Let r(v) = 26*v**2 + 4*v + 4. Let i(o) = 10*o**2 - 13*o + 2. Let d(j) = 7*j**2 - 9*j + 1. Let c(u) = 3*d(u) - 2*i(u). Calculate -4*c(k) - r(k). -30*k**2 Suppose -119 - 56 = 35*l. Let f(b) = b**3 + 3*b**2 - 1. Let c(s) be the first derivative of s**4/2 + 5*s**3/3 - 2*s + 8. What is l*c(o) + 8*f(o)? -2*o**3 - o**2 + 2 Let t(d) = -61*d + 5354. Let l(g) = -8*g + 669. Determine 46*l(w) - 6*t(w). -2*w - 1350 Let o(m) = -22307694*m**3 + 103420*m. Let l(t) = -5177*t**3 + 24*t. Give -25855*l(d) + 6*o(d). 5171*d**3 Let b be (6/11*1 - 6) + 36/(-66). Let r(c) = c. Let y(h) = 22*h - 2. Calculate b*r(o) + y(o). 16*o - 2 Let d(m) = 4*m**2 + 11*m + 11. Let v(l) = l**2 + 2*l + 2. Suppose 55*p - 107 + 34 = 37. What is p*d(s) - 11*v(s)? -3*s**2 Let k(y) = 122*y + 1180. Let z(u) = 91*u + 1179. Give 3*k(o) - 4*z(o). 2*o - 1176 Let v = -2262 + 2258. Let w(u) = -3*u**3 - 5*u**2 + 4*u - 5. Let t(k) = -2*k**3 - 4*k**2 + 3*k - 4. Determine v*w(m) + 5*t(m). 2*m**3 - m Let a(l) = l**2 + 8*l - 1. Let w(r) = 39*r**3 - 10*r**2 - 48*r + 2. Determine 6*a(d) + w(d). 39*d**3 - 4*d**2 - 4 Suppose 4*n - 9 = 7*n. Let j(q) = -4*q + 2. Let c be (-2)/(-1) + -2 + -8 + 248. Let a be 56/30 + 32/c. Let r(x) = -5*x + 3. Give a*r(k) + n*j(k). 2*k Let b(w) be the second derivative of w**5/5 + 4*w**3/3 + 3154*w. Let x(l) = -8*l**3 - 15*l. What is -7*b(k) - 3*x(k)? -4*k**3 - 11*k Let j(y) = 10 - 1384*y + 2793*y - 1410*y. Let o(g) = 1. What is -j(h) + 4*o(h)? h - 6 Let x(d) = -726*d**2 - d + 4. Let h(k) = -k**2 + k + 1. Determine h(s) - x(s). 725*s**2 + 2*s - 3 Let z(r) = 163*r + 4630. Let a(b) = 136*b + 4628. Give 6*a(d) - 5*z(d). d + 4618 Let o(i) = -2*i**3 + 2*i**2 - 7*i - 4. Let h(n) = -5*n**3 + 4*n**2 - 13*n - 9. Suppose 5*d = 5*r + 15, -2*d - 24 = 4*r + 24. Determine r*o(c) + 4*h(c). -2*c**3 - 2*c**2 + 11*c Let z(c) = 16*c - 113. Let u(v) = -8*v + 55. Give -15*u(k) - 6*z(k). 24*k - 147 Let a(z) = -11*z**3 - 2*z**2 - 1. Let q(k) = 2281*k**3 - 22*k**2 - k - 11. Give -33*a(i) + 3*q(i). 7206*i**3 - 3*i Let y(u) = 7*u**3 - u**2 + 5. Suppose -4*b = -3*a + 68 + 89, -2 = 2*a. Let v be ((-10)/8)/(b/(-160)). Let h(n) = -6*n**3 + n**2 - 4. Calculate v*h(z) - 4*y(z). 2*z**3 - z**2 Let r(a) = -a. Let p = 36 + -33. Suppose p*l - 10 = 32. Let y be r(l). Let b(v) = v**2 + 7*v - 7. Let x(n) = 2*n - 2. Give y*x(t) + 4*b(t). 4*t**2 Let h(j) = -7*j - 162. Let s(m) = -3*m - 161. Calculate 2*h(x) - 3*s(
{ "pile_set_name": "DM Mathematics" }
w)? -4 Let f(n) = n**3 + 3*n**2 + 3*n + 1. Let c(s) = s**3 + 4*s**2 + 2*s. Let r(j) = 4*c(j) - 3*f(j). Give r(-7). 4 Suppose 4*w + 0*w - 4 = 0. Let t be (12/(-16))/(w/4). Let o(f) = 3*f + 5. Let q(s) = 4*s + 6. Let h(v) = 3*o(v) - 2*q(v). Give h(t). 0 Let g = -29 + 32. Let j(r) be the first derivative of -2/3*r**g + 1/2*r**2 - 3 + r + 1/4*r**4. What is j(2)? 3 Let z = -29 - -25. Let t(f) = f**3 + 5*f**2 + 6*f. Give t(z). -8 Let n(r) be the second derivative of 7*r**5/10 - r**4/12 + r**2/2 - 4*r. What is n(-1)? -14 Let x(q) = q + 4. Suppose 7*t = 2*t - 30. What is x(t)? -2 Let a(y) = -20*y - 23*y + 39*y - 3 - 2 - y**2. Calculate a(-4). -5 Let t(o) = -o + 7. Let l be t(-5). Suppose 4*d + 5*y + 17 = 0, d - 2*y - l = -0*d. Suppose -d*h + 0*h = 0. Let w(c) = c**2 + 2. Give w(h). 2 Let y(l) = 3*l**2 + l**3 + 5 - 6*l**2 - 3*l + 3*l**2 - 6*l**2. What is y(6)? -13 Let s(g) = -3*g**3 + g**2 + 2*g + 1. Let f be s(-1). Let r(o) = -7 - o**2 + f - 9*o + 2. Calculate r(-8). 6 Let z(u) = -u**3 - 3*u**2 - 2*u - 1. Let p be 3*(2 + 12/(-9)). Suppose -p*t + 0*t - 2*s - 12 = 0, 5*t - 4*s = -3. What is z(t)? 5 Let p = 13 + -1. Let s(h) = -p + 12 + 5*h**2. Determine s(-1). 5 Let o(n) = -5*n**3 - 2*n**2 + 2*n - 1. Suppose 19 = 4*f - 1. Suppose -2*q + q = -f. Let g(t) = -t**3 + 6*t**2 - 6*t + 6. Let c be g(q). What is o(c)? -6 Let r(o) = -4*o**3 + o**2 - o + 1. Let a = 4 + -2. Let q = a - 1. Determine r(q). -3 Let i(g) = -2*g - 1. Let v(w) be the first derivative of -w**4/4 - 4*w**3/3 + 2*w**2 - 3. Let x be v(-5). Let l = 6 - x. Give i(l). -3 Let i(z) = -3*z**2 + 2 - 281*z + 281*z. Give i(2). -10 Let l = -14 - -12. Let r(x) = 2*x + 15. Let b(z) = z + 7. Let c(k) = 13*b(k) - 6*r(k). What is c(l)? -1 Suppose 4*m + 60 = -m + 2*q, 4*m = q - 51. Let n = m + 7. Let k = n - -5. Let z(y) = -y**2 + 2*y + 2. Determine z(k). -6 Let y be 2 - 3*1/(-9)*9. Let x(u) = 4*u + 6. Determine x(y). 26 Let r(w) = -w - 2. Let t = -10 + 7. Let l be -7 - 2/(t - -2). Determine r(l). 3 Let b(d) be the second derivative of d**7/2520 + d**6/240 + d**4/12 + 9*d. Let a(t) be the third derivative of b(t). What is a(-4)? 4 Suppose 6 = -7*z + 5*z. Let m(n) be the third derivative of -n**4/8 + n**3/6 + n**2. What is m(z)? 10 Let j(u) = u**3 - 8*u**2 + 6*u + 5. Let a be j(7). Let w(t) = -2*t**3 - t**2 - 2. Give w(a). 10 Suppose 3*w - 13 = -2*b, -2*w + 4*b + 11 = 3*b. Suppose 10 = 7*v - 2*v. Let j(g) = 7 - w*g**2 + 2*g - g**3 + v*g - g. Determine j(-5). -8 Let w = 35 + -34. Let j(z) be the first derivative of z**4/2 - 2*z**3/3 + z + 2. What is j(w)? 1 Let o(u) = 0*u - u - 3*u**3 + 4*u**3 - 2*u + 4*u**2 - 7. Determine o(-5). -17 Let c(h) = -3*h + 4*h - 3 - 2. Let l be c(7). Let n(p) = -5*p + 0*p + 2*p. What is n(l)? -6 Let f(r) = r**3 - 2*r**2. Let x(u) = -u. Let z(k) = -k - 7. Let c be z(-6). Let m be x(c). Calculate f(m). -1 Suppose 33 = -5*w + u, 0*w - 3*w + 4*u - 13 = 0. Let o(h) = h**2 + 7*h + 10. Give o(w). 10 Let o(g) = -2*g - 3. Suppose 0 = 3*h + 15, 2*h + 13 = 3*j - 3*h. What is o(j)? 5 Let r(n) = n**3 - 4*n + 7. Let h be r(2). Let d(v) = -v + 10. Give d(h). 3 Let j be 1/2 + (-4)/(-8). Let v be j + -4 - (-8 + 2). Suppose -2*g + v = 1. Let m(l) = -3*l**2 + 1. Calculate m(g). -2 Let z(h) = -h. Let o(c) = -c + 1. Let j(r) be the first derivative of -3*r**2 + 3*r - 3. Let y(x) = j(x) - 4*o(x). Let t(f) = -4*y(f) + 5*z(f). Determine t(-3). -5 Let u(o) be the first derivative of 9*o - 1/2*o**2 + 3. What is u(6)? 3 Let c(r) = -2*r - 3. Let l(y) = -y - 5. Let k(m) = -m**2 - 8*m - 3. Let x be k(-8). Let w be l(x). Let j be ((-2)/w - -3) + -1. What is c(j)? -9 Suppose 2*o + 22 = -4*s, o + 7 = -4*s + 4*o. Let l(c) = -c - 1. Calculate l(s). 3 Suppose 3*v - 4*o = -0 - 16, 2*v + 5*o = -3. Let i(m) = m**3 + 5*m**2 + 6*m + 2. Determine i(v). -6 Let r(x) = 10*x - 5. Let b be r(7). Suppose 21 - b = 4*k. Let p = k - -15. Let h(t) = -t**2 + 3*t. Give h(p). -4 Let o(f) = f**3 - f**2 + 12*f + 10. Let z(m) = -2*m**3 + 3*m**2 - 25*m - 21. Let r(j) = -13*o(j) - 6*z(j). What is r(-4)? 4 Let m = -25 - -28. Let x(y) = -1 - 7*y - 33*y**3 + 32*y**m + y - 8*y**2. Determine x(-7). -8 Let o(z) be the third derivative of -z**6/40 - z**5/30 + z**4/12 - z**3/6 - 6*z**2. What is o(1)? -4 Suppose 16 = 6*w - 2*w. Suppose v = 3*v - w. Let g(h) = -3*h**v - 2*h - 5*h**2 + 2*h. Calculate g(1). -8 Let f = 15 + -11. Suppose 0*i + f = i - v, 4*v - 4 = -i. Let n(q) = -q**3 + 4*q**2 - q - 4. Calculate n(i). -8 Suppose 13 = -3*p + 34. Let x = 5 - p. Let d(u) be the third derivative of -u**4/24 - u**3/3 - 2*u**2. Calculate d(x). 0 Let w(s) be the third derivative of 0*s - s**2 - 1/20*s**5 + 1/360*s**6 + 1/8*s**4 - 1/3*s**3 + 0. Let r(z) be the first derivative of w(z). Calculate r(4). -5 Suppose 0 = 3*d - 12 - 3. Suppose -5*w + 4*c + 36 = 0, -d*w = -c - 5 - 19. Let x(y) = y - 1. What is x(w)? 3 Suppose -7*o + 3*o = 0. Let v(x) = 2 + 6*x - 7*x + o. Give v(-3). 5 Let j = 12 + -17. Let m(v) = -v**3 - 6*v**2 - 6*v - 4. Determine m(j). 1 Let o(p) = 7 - 3*p - 13 + 2*p + 5. Determine o(4). -5 Let b(p) be the first derivative of 1/2*p**3 - 1 - 3*p - p**2. Let n(f) be the first derivative of b(f). Determine n(-3). -11 Let s = -12 + 9. Let x(y) = -y**3 - 4*y**2 - y + 2. Calculate x(s). -4 Suppose 0*p - 5*p - 20 = 0. Let b(i) = 3*i. Let w be b(2). Let l(o) = -o**3 - w*o - 2 + o**2 + 0 - 6*o**2 + o. Calculate l(p). 2 Let x(b) = b + 16. Let o(m) = -m - 15. Let l(a) = 4*o(a) + 3*x(a). What is l(-7)? -5 Suppose -3*k = -5*b + 10, -5*b = -4*b + 2*k - 2. Let i(c) = 6*c - 2*c - 3*c**b - 3*c. Determine i(1). -2 Let b(c) = -c**2 - 2*c + 3. Suppose -5*w + 84 = 3*j, 5*w + 2 = 5*j + 62. Let h be (6/10)/((-3)/w). Determine b(h). 0 Let n(y) = y**2 + 8*y + 4. Let p be (2/(-3))/(18/189). Give n(p). -3 Let x(q) = -8*q**2 - 7*q**2 + 22*q**2 - 6*q**2 - 5*q. Let d = 17 - 12. Determine x(d). 0 Suppose -3*p + 1 = 2*p - m, -2*m = 4*p - 12. Let z(t) = 8*t**3 - 4*t**2 + 3*t. Let i(b) = 7*b**3 - 3*b**2 + 2*b. Let f(r) = -4*i(r) + 3*z(r). What is f(p)? -3 Suppose s = q, -s = -0*s + q + 4. Let w(c) be the first derivative of -c**4/4 - 4*c**3/3 - 3*c**2/2 + 3. Calculate w(s). -2 Let w(r) = r + 0*r + 1 - 3. Suppose 4*n - 2*j = -0*j + 28, n + j = 1. Give w(n). 3 Let l(x) = x**3 - x**2 + 2. Let q(v) = v**2 - 1. Let g be q(-1). Let n be l(g). Suppose -d - 5*o = -n*d - 17, 5*o = -4*d + 7. Let w(y) = -y**2 + 2*y. Give w(d). -8 Let i(d) = -d**2 + 13*d - 2. Let m(a) = a. Suppose 0 = -7*z + 5*z + 4. Let c(n) = z*i(n) - 22*m(n). Let r(h) = -h**2 - 4*h - 1. Let x be r(-2). What is c(x)? -10 Suppose -u - 9 = -2*u. Suppose -u = -v + o, 0*v + 4*o = -4*v + 12. Let w(h) = h**3 - 7*h**2 + 5*h + 2. What is w(v)? -4 Let b(q) = 6*q**2 + 8*q + 3. Let v(w) = -5*w**2 - 7*w - 3. Let y(n) = -6*b(n) - 7*v(n). Calculate y(-3). -9 Suppose -2*q = 3 + 1. Let n(b) = 2*b**2 + b. Give n(q). 6 Let g(i) = 2*i**2 - 11*i - 5. Let l(j) = j**2 - 5*j - 2. Let r(v) = -2*g(v) + 5*l(v). Calculate r(3). 0 Let u(q) = -q**2 - 15*q - 3. Let x be u(-14). Let m(o) = o**3 - x*o**2 + 2*o - o + 15 + 10*o**2. Determine m(0). 15 Let z(k) = 4*k + 9 - 2*k + k + k. Let q(v) = 9*v + 19. Let c(f) = -6*q(f) + 13*z(f). What is c(3)? -3 Suppose 0 = 2*n + 3*n + 2*q + 22, 5*q = 4*n + 44. Let c(y) be the first derivative of -y**2/2 - 4*y + 5. Calculate c(n). 2 Let t = 46 + -46. Let m(n) be the third derivative of -1/3*n**3 + 3*n**2 - 1/4*n**4 + t + 0*n. Determine m(-2). 10 Suppose 2*t + 5*v = 0, 0 = -2*t + t + v. Let s(o) = 2*o - 1. Let z be s(t). Let d(y) = 7*y - 2. Let a(w) = -8*w + 3. Let j(b) = 3*a(b) + 4*d(b). What is j(z)? -3 Let l(y) = -2*y - 2. Suppose -s + 2 = -0*s. Give l(s). -6 Let o(c) = -c**3 + 3*c**2 + 6*c - 3. Let p be o(4). Suppose 4*i + 3*h = -0*h + 19, -p*i + 24 = 4*h. Let w(j) = i - 2 + 0 + j. What is w(-4)? -2 Let g be 4 + 2/(-1 + 3). Suppose 6*z - 17 = -g. Let p(o) = -o**3 + 3*o**2 - 2*o - 1. What is p(z)? -1 Let a be (-1)/((-1)/2 + 0). Let o(b) = 1 + 1 - 4 - b + a*b. What is o(0)? -2 Let k be (-3)/(-2)*(-8)/(-6). Let u(f) = -f**k + 4*f**2 + 0*f**3 - f**3 + 1 - 2*f. Give u(2). 1 Let l(o) be the first derivative of -1/4*o**4 - 5/3*o**3 - 1 + 1/2*o**2 + 6*o. Let c be l(-5). Let x(q) = 7*q**3 + 2*q**2 - q. What is x(c)? 8 Let m(s) = -s**3 - 4*s**2 + 7*s + 4. Let z = -12 - -8. Let o be (z/3)/((-5)/(-15)). Let d be -10*((-14)/o)/
{ "pile_set_name": "DM Mathematics" }
common factor of 44 and h? 22 Suppose 0*d + 3*a - 75 = -5*d, 41 = 3*d + a. Suppose d = -8*g + 148. What is the greatest common divisor of g and 85? 17 Suppose -2*y - 28 = -4*n + 2*y, -n = 2*y - 4. Suppose 0*a = 5*a - 95. Suppose 0 = -z + a + 23. What is the greatest common divisor of n and z? 6 Suppose -2*y - 3*d - 2 = 0, -2*y + 5*d + 5 = -5*y. What is the greatest common factor of 125 and y? 5 Suppose -3*l = -17 - 25. Suppose 15 = -3*u, x + 3*u + 149 = u. Let m = -27 - x. Calculate the greatest common divisor of l and m. 14 Suppose 5*n - 57 = 2*l, n + 2*l = -0*l + 21. Let x = -21 + 33. Let u be (68/x + 3)*3. Calculate the greatest common divisor of u and n. 13 Suppose 2*u + 5*n = 299, -n = 2*u - 2*n - 317. Suppose 0 = -4*j + l + 222, 4*j - j = -4*l + u. Calculate the highest common factor of j and 5. 5 Suppose -399 = -24*b - 87. What is the highest common factor of b and 390? 13 Suppose h + 2 = -h, 2*y = -h + 31. Let i(f) = 12*f + 349. Let o be i(-29). Calculate the highest common divisor of o and y. 1 Suppose 3*t + 2*i - 7 = 2, 5*i = 2*t - 6. Suppose -4 = -0*o - 2*o. Suppose -8 = o*y, t*y + 33 = -0*c + c. What is the highest common divisor of 3 and c? 3 Suppose -u - 17*d = -18*d - 122, 3*d + 600 = 5*u. What is the highest common factor of 195 and u? 39 Let b be 11/2 + 9/18. Suppose 0 = b*c - 10 - 56. Suppose 3*y = 5*t + 89, -3*t - 61 - 32 = -3*y. What is the highest common factor of y and c? 11 Let l be -3*(1 - 91) - 4. Calculate the greatest common factor of l and 14. 14 Let l be (14/35)/(14/177240). What is the highest common divisor of l and 24? 24 Let p(l) = -2*l + 25. Let n be p(12). Let t be 96/(1 + -1 + n). What is the greatest common divisor of 24 and t? 24 Let w = -55 - -80. Let f be (w/(-10))/(3/(-6)). Suppose -r + 2 = 3, -f*r + 670 = 5*g. Calculate the greatest common factor of g and 15. 15 Suppose -v + 3*q = 3*v + 15, v = 2*q. Let o be (-75)/v*4/5. What is the highest common factor of o and 25? 5 Let g = 163 - 189. Let w(j) = -j - 10. Let z be w(g). Let b(y) = 2*y. Let o be b(1). Calculate the highest common divisor of z and o. 2 Suppose -18*c + 19*c - 81 = 0. Suppose 0 = 13*y - 8*y - 270. Calculate the highest common divisor of y and c. 27 Suppose -m + 7 = 12. Let d = m + 11. Calculate the highest common divisor of d and 24. 6 Let j be ((-24)/(-28))/(2/42). Suppose -56 = -26*f + 30*f. Let b = f + j. Calculate the greatest common factor of b and 8. 4 Let y be (-3)/12 + 10662/24. What is the greatest common factor of 12 and y? 12 Suppose p - 5*k = 19, -3*p + k - 2*k + 25 = 0. Calculate the highest common factor of 99 and p. 9 Let z(r) = -3 + 10*r - 3*r**2 + 3 + 4*r**2 + 4. Let a = -24 - -14. Let u be z(a). What is the highest common divisor of 8 and u? 4 Suppose 168 = -0*j + 3*j. Let s be 1/(-6) + (-150)/(-36). Suppose -1 - 31 = -s*k. Calculate the greatest common divisor of j and k. 8 Let g(f) = -40*f + 232. Let z be g(-15). What is the highest common factor of z and 26? 26 Let c(g) = 288*g**2 + 2*g - 2. Let z be c(1). Calculate the highest common factor of 32 and z. 32 Suppose -3*i - 25 = 26. Let g = 22 + i. Suppose 0 = 5*m + 3*p - 200, m = -m + 4*p + 80. What is the greatest common divisor of g and m? 5 Let m be 595/14*(1 - (-3)/(-15)). Let t = 64 + m. Let r = 13 + 1. Calculate the greatest common divisor of r and t. 14 Let h = 709 + -687. Calculate the greatest common factor of 77 and h. 11 Let a = -95 - -115. Suppose 3*u - 5*t - 280 = 0, -t + a = 4*t. Calculate the highest common divisor of u and 50. 50 Suppose -2*y = -2*h + 4*h - 104, 0 = -3*h + y + 148. Let s = h + -35. Let f = 26 + -16. Calculate the highest common factor of f and s. 5 Suppose -8*h - 942 = -11*h - 3*w, w = -5*h + 1574. Calculate the greatest common factor of 420 and h. 105 Let s = -66 + 79. Calculate the highest common divisor of s and 247. 13 Let d be 150/4*48/36. Let l = d - 39. Calculate the highest common factor of 55 and l. 11 Let h be (-60)/(-20)*(2 + 1). Suppose 1051 = 4*i + 5*q, -h*q + 8*q - 1 = 0. What is the highest common divisor of i and 24? 24 Let i = 197 - 149. Calculate the greatest common divisor of 72 and i. 24 Suppose -2*z + 3*x = x, z = 3*x - 8. Suppose 5*v = 2*q - 3*q + 41, 0 = 2*q - 5*v - 67. Calculate the highest common factor of q and z. 4 Suppose -119*s = 5*g - 115*s - 94, -67 = -4*g + 5*s. What is the highest common factor of g and 522? 18 Let c = 730 + -686. Calculate the highest common divisor of c and 4. 4 Let d(x) = x**2 + 7*x - 2. Let b be d(-10). Suppose 202 = 3*h + 2*f, 5*f + 11 = -9. Calculate the highest common factor of h and b. 14 Suppose 0 = -16*r + 14*r + 2. Suppose -t - r = -4. What is the greatest common divisor of 1 and t? 1 Suppose -3*i = -c + 49, c + 2*c = -2*i + 114. Let s = 23 - c. Let r = s - -31. Calculate the highest common factor of r and 21. 7 Let p be ((-10)/15)/(2/(-3)). Let m be -4*p/(8/(-14)). What is the highest common divisor of 14 and m? 7 Let j be 4/30*5*-21*-4. What is the greatest common divisor of j and 52? 4 Let s(u) = u**2 - 13*u + 8. Let f be s(9). Let n = f + 30. Suppose -4*q = -5*p - 73, -n*q + 25 = -p - 4. Calculate the greatest common divisor of 72 and q. 12 Let c(r) = 2*r**3 - 5*r**2 + 26*r - 31. Let k be c(5). Calculate the greatest common divisor of k and 84. 28 Let l(j) = -62*j**3 - 3*j**2 - 4*j + 1. Let c be l(-2). Calculate the highest common divisor of 87 and c. 29 Suppose 5*i - 6*a + 5*a = 0, 3*i - 2*a + 7 = 0. Calculate the greatest common divisor of i and 12. 1 Let v = -3014 + 3049. Let q = 43 + -29. What is the greatest common factor of v and q? 7 Let l be (-6)/((-3)/3 - 0). Suppose 2*g + 3*v + 1 = 0, -2*g + 5*v - l + 45 = 0. Suppose 4*m + 0*m - 308 = 0. What is the greatest common factor of m and g? 7 Suppose -3*r = 15, -5*r = 4*b - 32 - 15. Calculate the greatest common divisor of b and 14. 2 Let r be 4/(-30) + (-602)/(-15). Calculate the greatest common divisor of r and 100. 20 Suppose 5*j + 5*g - 19 = -4, 2*g = -j + 5. What is the greatest common factor of 71 and j? 1 Let u(n) = n**2 + 24*n + 129. Let i be u(-21). What is the greatest common divisor of i and 154? 22 Let f(m) = -6 + 0*m**3 - m**3 + 2 - 3*m - 3*m**2 + 1. Let g be f(-4). Calculate the highest common factor of g and 125. 25 Suppose 5*z = 2*k + 48, 0 = 44*z - 46*z - 5*k + 25. Suppose y - 5 = 0, -20 = v + 3*y - 8*y. Calculate the highest common divisor of z and v. 5 Suppose 9*l - 200 = l. Let u = 38 - l. What is the highest common factor of u and 117? 13 Suppose 4*m = 4, 5*o - 25 - 59 = -4*m. Calculate the highest common factor of 348 and o. 4 Suppose -2*p + 40 = o - 75, 3*o + 3*p - 354 = 0. Calculate the greatest common divisor of 77 and o. 11 Let c = 86 - 73. Let k(x) be the third derivative of 5*x**4/6 + 2*x**3/3 + 2*x**2. Let m be k(5). What is the greatest common divisor of m and c? 13 Let i be -2*(-194 - 2) + (1 - -1). Suppose 2*q - 2*j + 12 = 424, -5*q + 2*j = -1033. Let l = i - q. Calculate the highest common factor of 17 and l. 17 Suppose 1491 - 8891 = -40*d. What is the greatest common divisor of 703 and d? 37 Let w = 631 + -402. Suppose -5*p - m = -p - w, p = -3*m + 71. What is the greatest common divisor of 140 and p? 28 Let k be (0 - -6)/((-8)/(-68)). What is the highest common factor of 969 and k? 51 Let u(l) = 9*l + 70. Let h be u(2). What is the greatest common factor of 56 and h? 8 Suppose 32*u = -5*u + 10582. What is the greatest common factor of 110 and u? 22 Suppose 42*k = 51*k - 198. Let d = 7 + -2. Suppose -d*u + 2*m + 60 = 0, -k + 7 = -3*m. What is the greatest common divisor of 70 and u? 14 Let r = 17 + 338. What is the highest common divisor of r and 994? 71 Suppose a + 4*v = 25, 0 = 3*v - 7 - 5. Suppose a = 16*j - 15*j. What is the greatest common divisor of 99 and j? 9 Suppose -4*y + 3*w - 2*w = -412, w - 212 = -2*y. What is the highest common factor of y and 26? 26 Suppose -3*z + 89 = 2*c, -3*c + 17 = 3*z - 67. Suppose -3*q + 4*d = -18, -3*d + 69 - 10 = 5*q. Let f = q - 7. Calculate the highest common divisor of f and z. 3 Let z(r) = -r**2 - 11*r - 4. Let q be z(-10). Suppose 24 = 9*p - q*p. Let y = p - 0. What is the greatest common divisor of 16 and y? 8 Let j = -13 + -4. Let g = -11 - j. Let u be (-956)/(-20) + (-2)/(-10). What is the highest common factor of u and g? 6 Let y(x
{ "pile_set_name": "DM Mathematics" }
be z(1). Is 7 a factor of b(o)? False Let h(d) = -6*d**3 - 3*d**2 + 5*d + 10. Is 10 a factor of h(-4)? False Suppose -5*j + 144 = g, g + 47*j = 50*j + 112. Is 6 a factor of g? False Suppose -b - 8*n - 4 = -4*n, 3*n = 4*b + 54. Let y = 16 + b. Suppose 0 = -3*x + 2*x - 4*d + 69, y*x + d = 291. Is 16 a factor of x? False Is (-5)/(-20) + -5 + (-4377)/(-12) a multiple of 10? True Let n(r) = -370*r - 380. Is 13 a factor of n(-7)? True Let n = -148 + 102. Let m = 59 + n. Is 5 a factor of m? False Is 2/(-12) - (2812/(-24) + 2) a multiple of 16? False Suppose a - 1309 = -4*k, -5*k + 4405 = 3*a + 499. Is 24 a factor of a? False Let s = -263 - -167. Let z = s + 345. Is 54 a factor of z? False Suppose -m - 260 = -3*m. Is m a multiple of 10? True Suppose 1 = 2*i - 3, -4*t + 2226 = 3*i. Is t a multiple of 15? True Let h(m) = 3*m**3 - 3*m**2 + 2*m - 8. Suppose -5*v + l + 11 = 0, -l - 5 - 3 = -4*v. Does 9 divide h(v)? False Let z = -94 - -92. Does 9 divide 11 + z - (2 - (2 + 0))? True Let m be 3*(-6)/(-18)*31. Let w = 16 + -34. Let d = w + m. Is d a multiple of 10? False Suppose -k = 18 - 21. Let l be (-217)/(-4) - 1/4. Suppose -5*u + 3*p = -56 - 34, -k*u + 4*p = -l. Is u a multiple of 9? True Suppose 0 = -4*w - 3*b + 1711 + 18, -w + 4*b + 418 = 0. Is 3 a factor of w? False Let j(h) = 13*h**2 + 40*h + h**3 - 4 - 31*h - 2*h**2. Let q be j(-10). Suppose -4*c = -6*c - q, -n - 5*c = -18. Does 11 divide n? True Let v be 2466/(-42) + (-4)/14. Let d = -15 - v. Suppose -6*k - d = -10*k. Is 11 a factor of k? True Let v(q) = -q**2 + 12*q - 15. Let r be v(9). Is 18 a factor of ((-51)/(-34))/(1/r)? True Suppose -21*o + 22*o = 1. Is 37 a factor of 218 - (5 + -13)*o/2? True Let y = -2 + 6. Let d(t) = 2*t + t - 2 + 13 - y*t. Is d(8) even? False Let b(k) = -k**2 - 4*k - 7. Let z(a) = a + 1. Let t(p) = p - 17. Let o be t(12). Let i(n) = o*z(n) - b(n). Is i(-4) a multiple of 11? True Does 20 divide 253 - (-4 + (-5 - -2))? True Let c = 25 - 34. Does 29 divide -87*-3*(-3)/c? True Suppose -5*b + 2633 = -937. Let s = -492 + b. Is s a multiple of 37? True Suppose -4*t - 2*u + 4 = -4*u, -5*u + 10 = 0. Suppose i + 2*d - 17 = 0, -48 = -4*i - 2*d - t*d. Does 3 divide i? False Is 19 a factor of (-4)/2*((-654)/4 + 2)? True Let f be (-8 - (-2)/(-1))/1. Let h = 10 + f. Suppose -3*x - 2*x + 100 = h. Is 7 a factor of x? False Let x(b) = -10*b + 13. Let d = 162 + -170. Does 19 divide x(d)? False Suppose 14*w = 11*w - 24. Let r(b) = -3*b - 17. Is 2 a factor of r(w)? False Suppose -p = -6*p + 5, 3*k - 2*p + 8 = 0. Let m(v) = 2*v + 2. Let f be m(k). Is ((-6)/9)/(f/117) a multiple of 8? False Suppose -21 = -s - 3*q, 3*s - 3*q - 80 + 17 = 0. Suppose -4*i + 29 = 4*n + n, 0 = -5*n + 4*i + s. Does 5 divide n? True Let z be (6 - 1) + (1 - 1). Let q(k) = k**2 - 10*k + 24. Let v be q(6). Suppose v = a + s - 10, 9 + 47 = z*a + 2*s. Does 4 divide a? True Does 19 divide 2774*(0 - (2/4 - 1))? True Suppose j - 2*j + 105 = 0. Suppose 2*d + 3*d - j = 0. Does 4 divide d? False Suppose -24 = -3*q - 5*r, 7*q = 2*q - 5*r + 30. Let m be ((-6)/(-9))/(q/9). Suppose -6*z + m*z = 8, -u + 41 = 2*z. Is 15 a factor of u? True Let z(w) be the second derivative of -w**5/20 - 2*w**4/3 + w**2/2 + 6*w. Let d be z(-8). Is (50 + (-4 - -7))/d a multiple of 9? False Let d(t) = -t**2 - t. Let w be d(1). Let n(s) = -2*s**3 - 22*s**2 + 3*s + 14. Let p be n(-6). Is 32 a factor of (p/8 + -3)*w? False Let j(x) = x**2 - 8*x + 6. Let u be j(7). Let y = u + 3. Is (y - 3) + 1*10 a multiple of 9? True Let s(k) = 16*k + 38. Let x be s(7). Let z = 167 - x. Is z a multiple of 17? True Let p = -3926 - -7056. Is 22 a factor of p? False Suppose -189*i - 4158 = -196*i. Does 33 divide i? True Let k(o) = -28*o - 10. Let y be k(2). Let f = y - -157. Does 7 divide f? True Suppose -2*s - 2*u + 8 = 0, 5*s - 3*u + 1 = 5. Suppose 2*v - 222 = s*i, 3*v - 5*i + 58 = 401. Does 41 divide v? False Let o(f) = f**3 - 1. Let x(h) = 10*h**3 + 3*h**2 + 7*h + 10. Let k(t) = 2*o(t) - x(t). Is 18 a factor of k(-2)? True Does 15 divide -7 + (-14854)/(-21) - 3/9? False Suppose 5*l = -5*b + 1625, 27*b + 4*l - 1630 = 22*b. Does 57 divide b? False Let b be 18/(-1 - 1)*140/42. Let z = -21 - b. Does 2 divide z? False Let z(w) = -89*w - 101. Is z(-4) a multiple of 24? False Does 59 divide (-1)/7 - (-31808)/49? True Let p be 6*(-7)/(21/(-4)). Suppose p*m + 175 = 13*m. Suppose -m = -2*s - h, 4*s - 58 = 5*h - 9. Is 8 a factor of s? True Let q(j) be the second derivative of -j**3/2 + j**2/2 - 38*j. Is q(-12) a multiple of 2? False Let i = 235 + 189. Does 51 divide i? False Let x be -1 + 2 - (-6)/2. Suppose x*t - 1 = t - 2*j, -3*j = -2*t + 5. Is (-20)/(t*(1 - 2)) a multiple of 8? False Suppose 3*r = 7*v - 3*v - 32, r = 4*v - 24. Does 8 divide 16/(7/((-266)/r))? True Suppose 2*k = -69 + 9. Let o be (6/(-10))/(6/k). Suppose -18 = -0*m - o*m. Does 2 divide m? True Suppose -3*i + 7 = -2*i. Let p(x) = -3*x - 6*x + x**2 - i + 4*x + 2*x. Is 21 a factor of p(7)? True Suppose -5*k + 196 = -74. Suppose 4*b - k = 7*b. Let h = -14 - b. Is h a multiple of 2? True Let v(z) = 8 + 10 + 7*z - 2 - 6. Let m(u) = -u**2 + 9*u - 8. Let n be m(7). Is 13 a factor of v(n)? True Let t = -931 + 1453. Does 18 divide t? True Let u(a) = a**3 - a**2 - a + 1. Suppose 3*b - 2 = 1. Let j(h) = 4*h**3 + 2*h**2 - 4*h + 8. Let d(o) = b*j(o) - 5*u(o). Does 15 divide d(6)? True Suppose -5*u + 9 = 69. Let k = 83 + u. Is 22 a factor of k? False Let o be -3 + (7 + 0 - (-1 - -2)). Let a be -1 - (3*-1 - 2). Suppose a*k - 10 = -v, o*v - 5*k - 64 = -0*v. Is v a multiple of 12? False Let l = -23 - -33. Let z(k) = k**3 + 2*k**2 - 12*k - 9. Let a be z(-4). Is 16 a factor of (4/a)/(l/665)? False Suppose 2*p + 4 = 12. Does 20 divide ((-2)/3)/((8/(-165))/p)? False Suppose u - 20 = -21. Is 37 a factor of u/((1/78)/(-1))? False Suppose -106*u + 5028 = -100*u. Does 58 divide u? False Suppose 2*d - 6*d = 112. Suppose 3*o - 144 = -3*u, 0 = 2*o - 8*u + 7*u - 102. Let a = o - d. Is 22 a factor of a? False Suppose 3*q = 6*q. Suppose q*y - y + 5 = 0. Suppose 4*r - 22 = -b - 0, -2*r = y*b - 110. Is b a multiple of 11? True Does 14 divide (-1)/(12/210)*116/(-5)? True Suppose -7*o + 10875 = 8*o. Does 25 divide o? True Let w(o) = o**3 - o**2 + o + 1. Let q(v) = 61*v**3 + 3*v**2 - 2*v - 3. Let g(z) = q(z) + w(z). Let x be g(-1). Let k = x + 170. Does 22 divide k? False Let l(a) = -a**3 + 4*a + 9. Let b(s) = -4*s**3 + 2*s**2 + 16*s + 37. Let y(i) = 2*b(i) - 9*l(i). Let r be 6/(-4)*(-8)/(-3). Is y(r) a multiple of 8? False Let m(r) = 3*r + 1. Let o be m(11). Suppose -o = 4*a - 94. Is 12 a factor of 234/a + (-2)/(-5)? False Let i = -4 - -12. Suppose -9 = 2*d - b - 2, -2*b + i = -2*d. Is 20 a factor of d*-56*(-3)/(-9)? False Suppose 8 = -2*z + 12. Suppose -s - z = -131. Does 43 divide s? True Suppose -9*m - 457 = 1829. Let a = -96 - m. Is 18 a factor of a? False Let c = -37 + 33. Let k = c - -28. Is k a multiple of 6? True Suppose 0 = 8*o - 1247 + 31. Suppose -v - 4*r + 70 - 6 = 0, 4*r - o = -3*v. Does 3 divide v? False Suppose -7*w = -116 - 38. Suppose w*k - 28*k = -126. Is k a multiple of 6? False Let d(s) = -s**3 + 14*s**2 + 7*s - 9. Let i be 1 + 1 + 0 - 36/(-3). Is d(i) a multiple of 11? False Suppose -s + 3*s = 5*i - 146, -3*i = -s - 88. Suppose -3*z + 87 + i = 0. Let k = 59 - z. Does 9 divide k? False Let t = 4 + -5. Let h be (0 + t)*3 + 8. Suppose -4*i - 3*d + 25 = 0, h*i - 4*d - d = 75. Is i a multiple of 5? True Let r = -608 + 848. Does 45 divide r? False Let g be (0 - -2) + 0 - 4. Let n = g + 6. Let f(m) = m**3 - 3*m**2 - 3*m + 4. Does 3 divide f(n)? False Suppose w + 1 = 3. Suppose c = 1 - w. Let y = 7 - c. Does 6 divide y? False Suppose -3*j - 410 = -3*y - 2*j, -y + 5*j + 146 = 0. Is 17 a factor of y? True Let k(s) = -s**3 + 13*s**2 + 15*s + 5. Is 19 a factor of k(14)? True Let h(u) = 4*u**2 - 4*u + 2. Let y = 31 - 14. Suppose -5*d = -y + 2. Does 13 divide h(d)? True Suppose -b - 4*q + 197 = -137, 5*q = -b + 338. Does 46 divide b? False Suppose 95 = 2*j + 17. Let a = 67 - j. Is 3 a factor of a? False Suppose 5 = 2*t - 9. Suppose -2*w + 3 = -t. Suppose w*v = -2*z - 2*z + 305, z + 265 = 4*v. Does 13 divide v? True Let q(a) = -a**3 - 12*a**2 - 11*a - 15. Let f be q(-10). Let v = 189 + f. Is 42 a factor of v? True Suppose -654 + 206 = -2*
{ "pile_set_name": "DM Mathematics" }
1226 Calculate the common denominator of 79/41847 and 34/1715727. 1715727 Calculate the lowest common multiple of 302 and 14. 2114 Calculate the common denominator of -42/47 and -35/13166. 618802 What is the common denominator of -35/156 and 125/131586? 263172 Calculate the common denominator of -49/24 and -65/186256. 558768 Calculate the lowest common multiple of 4317 and 12951. 12951 Calculate the common denominator of 1/632 and 73/3684. 582072 Calculate the least common multiple of 6 and 20474. 61422 Calculate the lowest common multiple of 538572 and 11. 5924292 What is the common denominator of 85/4248 and -1/144? 8496 What is the common denominator of 31/109 and -75/17056? 1859104 What is the lowest common multiple of 1207 and 595? 42245 Calculate the lowest common multiple of 195 and 740. 28860 Find the common denominator of 79/275400 and 25/24. 275400 Calculate the smallest common multiple of 7420 and 1300. 482300 Calculate the lowest common multiple of 774 and 822. 106038 What is the lowest common multiple of 8980 and 898? 8980 Calculate the common denominator of 65/21672 and 40/21. 21672 Calculate the common denominator of 107/16610 and -211/19140. 2890140 What is the common denominator of -41/5385 and -11/4330? 4663410 What is the common denominator of 55/3164 and 99/15368? 107576 Calculate the least common multiple of 372631 and 29. 10806299 Find the common denominator of 67/44495 and -13/50. 444950 Calculate the least common multiple of 56 and 796. 11144 Calculate the smallest common multiple of 367094 and 22187. 4038034 Calculate the least common multiple of 174 and 1093. 190182 What is the smallest common multiple of 8200 and 1800? 73800 Calculate the common denominator of -151/10380 and -11/219. 757740 Calculate the common denominator of -95/339556 and -25/2376892. 2376892 Calculate the least common multiple of 192096 and 42688. 384192 What is the lowest common multiple of 15 and 12661? 189915 What is the smallest common multiple of 1664 and 592? 61568 Calculate the smallest common multiple of 31812 and 28920. 318120 What is the common denominator of 56/55515 and 28/15? 55515 Calculate the least common multiple of 72 and 28292. 509256 Find the common denominator of -101/19812 and -61/20320. 792480 What is the common denominator of -59/11290 and -44/115? 259670 Calculate the common denominator of -99/24968 and 28/9363. 74904 Calculate the least common multiple of 14 and 6968. 48776 Calculate the common denominator of 2/499617 and -39/444104. 3996936 Calculate the least common multiple of 1074832 and 132. 3224496 What is the smallest common multiple of 12200 and 30? 36600 Calculate the common denominator of 44/15 and 8/73707. 368535 Calculate the common denominator of -20/207 and -109/288. 6624 Calculate the lowest common multiple of 14584 and 118495. 947960 Calculate the least common multiple of 3090450 and 280950. 3090450 Calculate the common denominator of -197/4620 and -101/1750. 115500 Calculate the smallest common multiple of 286 and 78958. 1026454 What is the common denominator of -89/328725 and -89/90? 657450 Calculate the common denominator of 107/532700 and -29/96. 12784800 What is the common denominator of 3/319 and 47/8265? 90915 Find the common denominator of -7/31 and 23/8401. 8401 Calculate the lowest common multiple of 129480 and 48. 258960 What is the common denominator of -51/32930 and -1/6586? 32930 What is the least common multiple of 112 and 6816? 47712 Calculate the smallest common multiple of 21866 and 252. 2755116 Calculate the smallest common multiple of 240559 and 110. 2405590 What is the lowest common multiple of 250 and 1555? 77750 What is the smallest common multiple of 25134 and 7? 175938 What is the common denominator of -145/984 and 41/218? 107256 Find the common denominator of 57/31900 and 53/300. 95700 Find the common denominator of -41/3874148 and 33/2. 3874148 Calculate the least common multiple of 2970 and 108. 5940 What is the smallest common multiple of 58011 and 27? 522099 Calculate the common denominator of -149/46332 and 107/104. 92664 What is the lowest common multiple of 58497 and 45? 877455 Calculate the lowest common multiple of 45560 and 1700. 227800 Find the common denominator of 13/89430 and 89/232518. 1162590 What is the lowest common multiple of 2352 and 342? 134064 Calculate the lowest common multiple of 148887 and 1191096. 1191096 What is the lowest common multiple of 7248 and 11476? 137712 Calculate the smallest common multiple of 30 and 19380. 19380 Calculate the smallest common multiple of 66 and 4554. 4554 Find the common denominator of -1/237413 and 37/382. 474826 Calculate the smallest common multiple of 1609 and 197907. 197907 Calculate the common denominator of -29/1766 and 36/69757. 139514 Calculate the common denominator of 56/611 and 31/1261. 59267 Calculate the smallest common multiple of 4277 and 2444. 17108 Find the common denominator of 39/8 and -4/1569. 12552 What is the common denominator of 19/36150 and 63/2410? 36150 What is the common denominator of 97/1692 and 29/6768? 6768 What is the lowest common multiple of 4 and 690464? 690464 Find the common denominator of 121/26688 and 113/5952. 827328 Calculate the lowest common multiple of 1316370 and 438790. 1316370 Calculate the least common multiple of 287546 and 83237. 3163006 Calculate the smallest common multiple of 158680 and 92. 3649640 Calculate the lowest common multiple of 9780 and 59169. 1183380 Calculate the smallest common multiple of 5012 and 2443. 1749188 What is the common denominator of 83/1528 and 85/56? 10696 Find the common denominator of -119/7584 and -5/63. 159264 Calculate the smallest common multiple of 800709 and 7. 800709 Calculate the smallest common multiple of 140 and 383410. 5367740 Find the common denominator of 163/85230 and -139/28410. 85230 What is the common denominator of 127/18864 and -59/16506? 132048 Find the common denominator of 3/712 and -34/8633. 69064 What is the common denominator of -133/3894 and -7/682? 120714 Calculate the smallest common multiple of 314477 and 26764. 1257908 Calculate the common denominator of -25/84506 and -60/143. 12084358 Calculate the common denominator of -95/6102 and 56/459. 103734 Find the common denominator of 16/15 and -37/58466. 876990 Calculate the least common multiple of 6035 and 17629. 6258295 Calculate the lowest common multiple of 1914 and 116. 3828 Calculate the common denominator of 57/8 and -23/682031. 5456248 Calculate the least common multiple of 113940 and 16458. 1481220 Calculate the common denominator of -49/3884 and -19/506862. 1013724 Find the common denominator of -97/712480 and 81/1120. 4987360 What is the least common multiple of 136472 and 20? 682360 What is the lowest common multiple of 11669 and 18337? 128359 Calculate the least common multiple of 1208496 and 906372. 3625488 What is the smallest common multiple of 473856 and 10? 2369280 Calculate the common denominator of 19/1708 and -31/30744. 30744 What is the common denominator of -31/105 and -47/11505? 80535 Calculate the least common multiple of 332636 and 20. 1663180 Find the common denominator of 99/260 and 51/1618. 210340 Calculate the smallest common multiple of 324 and 72333. 289332 Calculate the common denominator of 7/990 and -53/75. 4950 Calculate the common denominator of 49/6816 and 19/22720. 68160 What is the least common multiple of 111366 and 42? 779562 Calculate the common denominator of -15/130192 and 107/6. 390576 What is the smallest common multiple of 848934 and 10746? 848934 What is the common denominator of 5/29152 and -5/88? 320672 Calculate the smallest common multiple of 63896 and 3912. 191688 What is the common denominator of 7/2391 and -5/33? 26301 What is the lowest common multiple of 38610 and 7722? 38610 What is the common denominator of -43/44280 and 22/25? 221400 What is the lowest common multiple of 24 and 40220? 241320 Calculate the smallest common multiple of 13727 and 49. 96089 Calculate the common denominator of 67/2048 and -25/176. 22528 Calculate the smallest common multiple of 15 and 16050. 16050 Calculate the common denominator of -9/70 and -59/2722. 95270 What is the least common multiple of 41772 and 10443? 41772 Calcu
{ "pile_set_name": "DM Mathematics" }
3*o(z) + 8*t(z). -16*z - 12 Let a(y) = -122*y + 310. Let r(f) = 25*f - 59. Determine 2*a(g) + 11*r(g). 31*g - 29 Let g(s) = 2*s**3 + 2*s**2 - 17*s - 5. Let y(w) = 11*w**3 + 13*w**2 - 106*w - 32. Give 13*g(r) - 2*y(r). 4*r**3 - 9*r - 1 Let o(d) = -4*d - 1. Let s(r) = -31*r - 4. Determine 6*o(y) - s(y). 7*y - 2 Let h(o) = -6*o**3 + 4. Let t(s) = 3*s**3 - 2. Let k = -24 + 28. Suppose 8 = k*w + 28. Determine w*t(c) - 2*h(c). -3*c**3 + 2 Let k = 14020 - 14022. Let p(u) = -7*u**2 - 20. Let v(f) = -3*f**2 - 10. Calculate k*p(w) + 5*v(w). -w**2 - 10 Let a(j) = -11*j**3 - 7*j**2 - 10*j - 4. Let g(w) = -24*w**3 - 14*w**2 - 21*w - 8. What is 5*a(b) - 2*g(b)? -7*b**3 - 7*b**2 - 8*b - 4 Let n(a) = 647*a + 72. Let c(d) = 30*d + 1. Give -14*c(b) + n(b). 227*b + 58 Let q(y) = -22*y**3 - 2*y**2 - 2*y + 11. Let k(a) = -70*a**3 - 5*a**2 - 7*a + 35. What is 4*k(m) - 13*q(m)? 6*m**3 + 6*m**2 - 2*m - 3 Let k(g) = -2851*g**2 + 36*g. Let h(y) = -17610627*y**2 + 222378*y. Give -6*h(v) + 37063*k(v). -2851*v**2 Let m(i) = -24*i + 3. Let k(s) = 25*s - 4. Let o(y) = -2*y**2 + 86*y + 82. Let n be o(44). What is n*m(g) - 5*k(g)? 19*g + 2 Let u(k) = 3*k**2 + k. Let r(z) = 2*z**3 + 42*z**2 + 12*z - 72. Give -r(t) + 12*u(t). -2*t**3 - 6*t**2 + 72 Let o(z) = -5*z - 8. Let j(b) be the first derivative of -1/2*b**2 - b + 39. Give -6*j(y) + o(y). y - 2 Let l(s) = 6*s**2 + 5*s - 8. Suppose 3*x = 4*g, 0 = -5*x + 5*g - 4 - 1. Let n be (6/21)/(8/308). Let b(j) = 2*j**2 + 2*j - 3. Determine n*b(t) + x*l(t). -2*t**2 + 2*t - 1 Let u(y) = 219*y**3 + 73*y**2 + 32*y + 75. Let w(c) = -40*c**3 - 15*c**2 - 6*c - 15. What is -2*u(m) - 11*w(m)? 2*m**3 + 19*m**2 + 2*m + 15 Let z(l) = 16*l - 5. Let i(p) = 17*p - 6. Let f(o) = -o**3 + 3*o**2 + 3*o + 9. Let v be f(4). What is v*z(b) - 4*i(b)? 12*b - 1 Let k(a) = 1470*a**3 - 11*a**2 + 11*a - 25. Let y(n) = -294*n**3 + 2*n**2 - 2*n + 5. Give 2*k(w) + 11*y(w). -294*w**3 + 5 Let q(d) = d**2 - d - 1. Let l(b) = 2*b**2 + 6*b + 3. Let z = 861 - 862. Determine z*l(v) - 4*q(v). -6*v**2 - 2*v + 1 Let b(v) = v**2 - 13*v - 1. Let u(k) = -36*k**2 - 26*k + 7. What is -2*b(c) + u(c)? -38*c**2 + 9 Let d(b) = -9*b**2 - 2*b + 5. Let n(h) = -h**2 + h + 1. Let i(m) = m**3 - 16*m**2 + 37*m + 25. Let y be i(13). Determine y*d(t) + 5*n(t). 4*t**2 + 7*t Let i(t) = 7*t**2 + 3*t**2 - 13*t**2 + 4*t**2. Let s(r) = -3*r**2 - r. Suppose 0 = 3*c + 4 - 1. What is c*s(p) - 4*i(p)? -p**2 + p Let n(k) = 42*k**3. Suppose -c + 1 = 0, 2*u - 636 = -c - 93. Let z = u - 265. Let f(t) = 6*t**3. Determine z*n(o) - 44*f(o). -12*o**3 Let z be (-6)/(-11)*(-5027)/914. Let v(n) = -n**3 + 3*n**2 + 2*n + 5. Let f(q) = 3*q**3 - 8*q**2 - 5*q - 14. What is z*f(l) - 8*v(l)? -l**3 - l + 2 Let z(g) = 31*g**3 - 4*g**2 + g - 4. Let l(x) = 92*x**3 - 8*x**2 + 2*x - 11. Give -4*l(i) + 11*z(i). -27*i**3 - 12*i**2 + 3*i Suppose 9 = 3*b + 17*r - 21*r, -5*b - 3*r = -73. Let g(n) = -7*n**2 - 13*n - 6. Let o(y) = -4*y**2 - 7*y - 3. Determine b*o(l) - 6*g(l). -2*l**2 + l + 3 Let j(k) = -42. Suppose 67*f - 70*f - 21 = -5*y, 3*f - 3*y + 9 = 0. Let p(g) = g + 43. Give f*j(s) + 2*p(s). 2*s - 40 Suppose -5*o = -3*o - 4*r - 30, 0 = 4*o + 4*r. Let n(s) = -1 + 279026*s - 3 - 139505*s - 139514*s. Let q(v) = 6*v - 4. Determine o*n(p) - 6*q(p). -p + 4 Let z(q) = -3*q**2 - 3. Let b(v) = 22*v + 68. Let u be b(-3). Let t(k) = 3*k**2 + 0*k**2 + 0*k**2 + 2. Let g = 298 - 295. Determine g*t(f) + u*z(f). 3*f**2 Let l(h) = -6*h**2 + 3868*h + 5. Let d(n) = n**2 - 10*n - 1. What is -4*d(f) - l(f)? 2*f**2 - 3828*f - 1 Let r(m) = -6*m**2 - 2*m. Let q(h) = -h**2 + 6*h - 6. Let p be 13/(325/140) + (-4)/(-10). Let v be q(p). Let u(b) = 3*b**2 + b. Give v*r(d) - 13*u(d). -3*d**2 - d Let x = -2 - -7. Let f(a) = 9*a + 2*a - 13*a + 12*a + 3*a + 12. Suppose 0 = -s + 7. Let h(w) = -9*w - 8. Give s*h(u) + x*f(u). 2*u + 4 Let n(y) = -4*y + 3. Let w(l) = 16*l - 13. Let c = -4204 - -4206. What is c*w(b) + 9*n(b)? -4*b + 1 Let r(f) = 3*f - 19. Suppose 5*k = -2*x + 22 - 17, -5*k + 5 = -3*x. Let u(y) = -y. Determine k*r(i) + u(i). 2*i - 19 Let d(w) = -22*w - 29. Let k(l) = 200*l + 268. What is -28*d(j) - 3*k(j)? 16*j + 8 Let n(v) = -v**3 + v**2 + 1. Let w be 3/(8/(1 - 9)) - -2. Let p(q) = 7*q**3 - 6*q**2 - q - 2. What is w*p(r) - 6*n(r)? -r**3 + r - 4 Let g(f) = -f**3 + 3*f**2 + 3*f + 3. Suppose -94*b - 4461 = -3803. Let q(o) = 2*o**3 - 7*o**2 - 6*o - 7. Determine b*g(k) - 3*q(k). k**3 - 3*k Let l(d) = -3*d**3 - 84*d**2 + 30*d - 11. Let o(n) = 2*n**2 - 5*n + 1. Give l(r) + 6*o(r). -3*r**3 - 72*r**2 - 5 Let q(y) = -13*y**2 + 13944*y. Let s(r) = 5*r**2 - 4656*r. What is -3*q(t) - 8*s(t)? -t**2 - 4584*t Let m(i) = -i - 10. Let c(r) = -26*r - 48. Give -2*c(z) + 12*m(z). 40*z - 24 Let g(p) = -5*p**2 + 2*p**2 + 7*p**2. Suppose 0 = -13*c - 85 - 201. Let h(w) = -w**2. What is c*h(q) - 4*g(q)? 6*q**2 Let d(k) = -9*k**3 - 4*k + 1. Let u(g) = -26*g**3 - 11*g + 3. Let s(i) = 2*i**2 + 20*i - 108. Let l be s(-14). Give l*u(m) - 11*d(m). -5*m**3 + 1 Let f(m) = -3002949*m**2 + 20470. Let t(y) = -2054*y**2 + 14. Determine 7*f(h) - 10235*t(h). 2047*h**2 Suppose -166 = -30*q - 46. Let h(a) = 2*a + 5. Let z(l) = -l - 2. Determine q*h(r) + 10*z(r). -2*r Let r(k) = 7*k**2 + 11*k + 10. Let j(p) = 3 - 446*p + 2 - 6 + 445*p. Determine 22*j(g) + 2*r(g). 14*g**2 - 2 Let s be (4/(-8))/((-121)/(-30) - 4). Let m = -46 - -45. Let p(a) = a**3 - a**2 + a - 1. Let z(g) = -10*g**3 + 15*g**2 - 15*g + 15. What is m*z(v) + s*p(v)? -5*v**3 Let n(m) = m**3 + m + 1. Let z(x) = -51*x**3 - x - 3. Suppose 5*r = -2*q - 8, 0 = -2*q + 4*q + 2*r + 2. Give q*z(l) + 3*n(l). -48*l**3 + 2*l Let q(v) = 0*v + 23*v + 4*v + 7 - 11*v - 5*v. Let m(p) = -1. Determine -4*m(x) - q(x). -11*x - 3 Suppose 41*q - 50 = 31*q. Let x(k) = q*k + 12 + k**2 - 6*k - 13 + k. Let d(u) = 4 + 2*u**3 + 2*u**3 - 6*u**2 + 2. What is -d(o) - 6*x(o)? -4*o**3 Let m(c) = 1280*c**3 - 5*c**2 + 29*c + 1. Let h(y) = -2558*y**3 + 11*y**2 - 63*y - 2. Give -6*h(o) - 13*m(o). -1292*o**3 - o**2 + o - 1 Suppose -26*j = -679 + 835. Let h(y) = -5*y**2 + 2*y + 7. Let o(a) = 9*a**2 - 3*a - 13. What is j*o(k) - 11*h(k)? k**2 - 4*k + 1 Let a(x) = -40*x**2 + 26*x + 31. Let y(l) = -14*l**2 + 9*l + 10. Give 3*a(f) - 8*y(f). -8*f**2 + 6*f + 13 Let w(j) = -5*j**3 - 24*j**2 - 3*j - 7. Let b(q) = 5*q**3 + 28*q**2 + 2*q + 8. Determine 6*b(u) + 7*w(u). -5*u**3 - 9*u - 1 Let j = 1491 - 1490. Let g(p) = 79 - 24 - 24 - 30. Let h(k) = -k + 1. Give j*h(r) - 4*g(r). -r - 3 Let i(j) = -2 - j**3 - j**3 + 2*j + 0. Let b(o) = -10*o**3 + o**2 + 10*o - 11. Let w = 16448 - 16459. Determine w*i(g) + 2*b(g). 2*g**3 + 2*g**2 - 2*g Let w(y) = -64579520*y**3 - 27836*y**2 - 83508*y - 41754. Let a(j) = 13921*j**3 + 6*j**2 + 18*j + 9. Calculate 13918*a(s) + 3*w(s). 13918*s**3 Let y(s) = -4*s + 5. Let l be (-18 + -22)/20*2/2. Let j be 28/3 - 3/9. Let d(i) = -i + 1. Determine j*d(p) + l*y(p). -p - 1 Let m(r) = -4*r**2 - 2*r + 10. Let w(s) = s**2 - 7*s**2 - 9*s**2 + 51 - 10*s - 13*s**2 + 7*s**2. Give -11*m(h) + 2*w(h). 2*h**2 + 2*h - 8 Let y(o) = 4*o + 4. Let s(m) = 3 - 15*m - 2 + 0 - 27*m + 43*m. Determine -2*s(t) + y(t). 2*t + 2 Let o(m) = -7*m**2 + 4*m + 13. Let k(i) = 2*i - 4 + 1 - 3*i + 2*i**2. Let x(f) = 234*f - 945. Let r be x(4). What is r*k(h) - 2*o(h)? -4*h**2 + h + 1 Let b(p) = -31*p + 6. Suppose -14*q + 6*q = 8*q - 4400. Let m(g) = -1425*g + 275. Give q*b(k) - 6*m(k). 25*k Let g(d) = -2*d. Let y(p) = 179*p - 64*p - 116*p - 4 + 4. Let k be 2/((-4)/(-2)) - -4. Let w = 8 - 10. Determine k*y(u) + w*g(u). -u Let h(g) = -2*g**3 - 2*g**2 + 2*g. Suppose 4*t = 5*x - 7*x + 156, -x = 4*t - 82. Suppose x*f - 6 = 77*f. Let z(o) = 4*o**3 + 4*o**2 - 5*o. Give f*z(p) - 5*h(p). 2*p**3 + 2*p**2 Let f(x) = 3*x + 9. Let o(k) = 82*k + 173. Let r(m) = -14*m - 29. Let u(g) = 3*o(g) + 17*r(g). What is -17*f(p) + 6*u(p)? -3*p + 3 Let a(n) = 5*n**3 - 2*n**2. Suppose -2*i = 5*k - 41, -38*i - 28 = -4*k - 42*i. Let u(p) = -19*p**3 + 9*p**2. Determine k*a(g) + 2*u(g). 7*g**3 Let x(b) = 10*b + 9. Let f(w) = -25*w**2 + 24*w + 7. Let d be f(1). Let y(c) = 11*c + 10. Determine d*x(o) - 5*y(o). 5*o + 4 Let j = 6495 + -6500. Let u(y) = y**2 - y + 1. Let a(h) = -32*h**2 + 5*h - 5. Calculate j*u(p) - a(p). 27*p**2 Let d(b) = -109*b**2 + 34*b + 105. Let z(t) = 27*t**2 - 8*t - 26. Give 3*d(s) + 13*z(s). 24*
{ "pile_set_name": "DM Mathematics" }
89. Let w be m(21). Put -1, 4, 2, w in ascending order. -1, 2, 4, w Let h = 0.3382216 + 0.0617784. Let o = -3 - -1. Let j = -9 - -6. Sort h, o, j, -1. j, o, -1, h Suppose -q = 5*h - 11, 5*q - 4*h + h - 55 = 0. Let a be (-3520)/30 + -9 + 8/6. Let z = -124 - a. Sort 3, 0, q, z in increasing order. 0, z, 3, q Suppose 244*c = -560 - 416. Put -3, c, 2, -5, -0.2433 in decreasing order. 2, -0.2433, -3, c, -5 Let b = -5266 - -5429. Put -4, b, 2 in descending order. b, 2, -4 Let i(h) = h**2 - 12*h - 1. Let l be i(12). Suppose -2*o + v + 8 = 3*v, 3*v + 8 = o. Suppose -q = o + 2. Sort q, l, -4 in descending order. l, -4, q Let m be (-4)/30 + 459/405. Let v be (1 - m)/(28/14). Let h be 14/8 - (-2)/(-8). Put h, v, -25 in increasing order. -25, v, h Let i = -8476 - -8793. Sort -3, i, 3 in ascending order. -3, 3, i Suppose 2*d + 8 = -3*c, 6 = -d - 0*c - c. Let u = d + 5. Let b = 924401 + -924398. Sort -8, b, u in decreasing order. b, u, -8 Let l = -3422 + 3421. Let o = -0.16 - -0.1. Sort l, 2/9, 2, o in decreasing order. 2, 2/9, o, l Let l(p) = 13*p - 11. Let z be l(6). Suppose 0 = -4*j + 63 - z. Let b be (j/3 - 0)*-6. Sort b, 10, -4 in increasing order. -4, b, 10 Let j = 0.5 - 0. Suppose 2*v + 11 - 25 = 0. Let q be 120/418 + v/(539/(-14)). Put j, q, 4/3 in descending order. 4/3, j, q Let d = -3039/10 + 607/2. Put -2/7, -186, d, -2/19 in decreasing order. -2/19, -2/7, d, -186 Let w = -2 - -6. Let i = -1134 + 1156. Let j be (i/16 + -1)*24. Sort -4, j, 5, w in increasing order. -4, w, 5, j Let z be (-2)/(-182) - ((-1)/(-3) + 854/(-4758)). Sort -1/22, 10, z, -1, 1. -1, z, -1/22, 1, 10 Let m = -1 + 1. Let w be (-42)/104 - (1 - (-9)/(-6)). Let y = w - 181/260. Put -6, m, y, -2/15 in descending order. m, -2/15, y, -6 Let w = -31.13 - 1.87. Let t = w + 33.2. Sort t, 0.4, -1 in descending order. 0.4, t, -1 Let n(c) = -c - 7. Let g be n(-4). Let f(q) = q - 13. Let w be f(13). Suppose w = 3*z + 3 - 9. Put z, -4, g in decreasing order. z, g, -4 Let r(m) = m**3 - 2*m**2 - 7*m - 5. Let i be r(4). Let q = i - -57. Suppose 0 = 4*s - q + 48. Sort 4, -2, s in decreasing order. 4, s, -2 Let x be -1 - 142/(-84) - 2/4. Let u = 1/3 - x. Put u, -0.038, -2 in ascending order. -2, -0.038, u Let z be (-390)/(-1365)*(-14)/(-24). Sort -0.14, -3, 4/3, z, 2/69 in ascending order. -3, -0.14, 2/69, z, 4/3 Suppose 14*a = 12*a + c + 4, c + 7 = 3*a. Sort -1280, a, 0, 2/3 in descending order. a, 2/3, 0, -1280 Suppose 7*v - 6*n - 3743 = 2*v, 3*v + 2*n - 2229 = 0. Sort 1, v, -4, -1 in increasing order. -4, -1, 1, v Let a = 2277 + -6832/3. Suppose 7*f - 6*f = 4. Put f, -1, a, 27 in descending order. 27, f, a, -1 Suppose -j = -3*t - 14, -2*t + j = -j + 16. Let f = 3/4 - 23/20. Sort t, -0.08, f in descending order. -0.08, f, t Let f be ((-272)/102*1/((-14)/6))/(-2). Sort f, 2, -5, -32. -32, -5, f, 2 Let b be 2/(8/(-60))*((-96)/45 + 2). Let f = -9 - -14. Sort b, -2, f in descending order. f, b, -2 Let m = -0.71 + -36.29. Let j be (-16)/(-40)*(-165)/(-363). Sort 0.3, j, m in descending order. 0.3, j, m Let o = 28.26 - 28.36. Sort 290, 0.5, o, 3/2. o, 0.5, 3/2, 290 Let v = 3291 - 3288. Put -2, v, -4, 81 in decreasing order. 81, v, -2, -4 Suppose -3*i = -39 + 6. Let q(h) be the third derivative of -5*h**4/6 + 10*h**3/3 + 138*h**2. Let g be q(1). Sort i, -2, g in descending order. i, g, -2 Let o(g) = 2*g**3 + 9*g**2 + 13*g + 93. Let j be o(-5). Suppose 5*k - 11 = y, 4*k - 6 - 14 = -2*y. Put 0, j, -3, y in increasing order. -3, 0, j, y Let g = -2493 + 2491. Let q(c) = -c**3 + 5*c**2 + 5*c - 3. Let y = 5 - -1. Let t be q(y). Put g, 4, 0, t in descending order. 4, 0, g, t Let t be ((-20)/(-8) - 3)/(9*2/180). Sort -3, 0, t, -1, 10 in decreasing order. 10, 0, -1, -3, t Let r(k) = k**2 + k - 2. Let u(t) = 1272*t**2 + 7*t + 0*t**3 - 3 + 2*t**3 - 1257*t**2. Let g be u(-7). Let f be r(g). Sort -1, -2, f. -2, -1, f Let t(s) = -s**2 - 5*s - 1. Let w(c) = -2*c**2 + c - 1. Let r be w(1). Let o be t(r). Let u = -43200 - -43196. Sort -1, o, u in descending order. o, -1, u Let o = 2422 + -2438. Put o, 0.1, 28 in decreasing order. 28, 0.1, o Let o be (14/4)/((-1)/6). Let y(x) = -x**2 - 7*x - 11. Let z be y(-3). Let n be ((-1)/2)/(2086/(-140) - (-19 + 4)). Put o, -4, n, z in ascending order. o, n, -4, z Let g be (-22 - (-13 + -3))/(-2). Let q be 2/4 - (-27)/(-6). Sort q, 31, g, 0 in descending order. 31, g, 0, q Suppose -5*o - 5*c = -35, -4*c = 2*o - 0*o - 10. Let d = 4 - o. Suppose 5*a + 5*g + 5 = 0, -10 = -2*a - 14*g + 16*g. Sort a, d, 4 in increasing order. d, a, 4 Let t(b) = -b**3 - 8*b**2 + 13*b - 24. Let s be t(-9). Let h be (-6)/(-21) + s/14. Sort h, -7, 4 in decreasing order. 4, h, -7 Suppose -11*y + 17*y = 24. Let d = -1237 - -1257. Sort d, y, 7. y, 7, d Suppose 3*a + 320 = -223. Let t = -1085/6 - a. Put 0.2, -4, t in descending order. 0.2, t, -4 Let f = 77.09 - 76.09. Sort -7, 15.2, f. -7, f, 15.2 Let a be (-4)/(-14) - (-108)/(-231). Let l be -4*(-7)/(-28)*-7. Let f = 7 - 10. Sort l, 0.3, f, a in increasing order. f, a, 0.3, l Let n = -2.24 - 0.76. Let w = 0.8 - 1. Let r(y) = -y**3 - 11*y**2 - 15*y + 22. Let c be r(-9). Sort n, w, c, -0.01. c, n, w, -0.01 Let t be -5 - ((-9 - -1) + (-116 - -124)). Sort -0.52, -3, 3, t, 2 in decreasing order. 3, 2, -0.52, -3, t Let u = -4/4423 + 13309/44230. Put -0.2, -0.01, u, 5, 4 in descending order. 5, 4, u, -0.01, -0.2 Suppose -14 = -4*o + 3*u, -4*o + 5*u + 12 = u. Suppose 2 - 7 = o*f. Suppose -1028*y = -1029*y - 4. Put f, 0, -3, y in descending order. 0, f, -3, y Suppose 151 = 8*h - 25. Let j be 3/(42/h) + (-30)/(-70). Sort 11, j, 4, 1 in increasing order. 1, j, 4, 11 Let u(c) = -c**3 - 33*c**2 - 61*c + 76. Let r be u(-31). Sort -3, -2, r, 3 in descending order. r, 3, -2, -3 Let x = 3899 - 3849. Put 0.08, 0.3, x in descending order. x, 0.3, 0.08 Let t be (2*-1)/2 + (12 - 14). Let o be 32/(-48) + (-4)/3 - t. Suppose -11*b + 105 = -32*b. Put o, 4, b in descending order. 4, o, b Suppose -4*t - 4*z + 9 = -3, 0 = 4*t - z - 17. Suppose -498*n = 156*n - 654. Sort -11, t, n in ascending order. -11, n, t Suppose 5422*a = 5420*a. Put 2224, 2, a in descending order. 2224, 2, a Suppose -8 = 2*m - 48. Let w(h) = h**2 - 33 - m*h - 20 - 1. Let r be w(23). Sort r, 3, 1. 1, 3, r Let n be 0 + -12 + 124/10. Let v = 0.14 - -1.86. Suppose 5*a = -5*d + 15, a - 2 - 6 = -2*d. Sort n, v, -3, d in decreasing order. d, v, n, -3 Let c be 6 - 308/49 - 94/14. Let r be 6 - c/((-189)/150). Sort -1/7, 0.11, -3/5, r in ascending order. -3/5, -1/7, 0.11, r Suppose -6 = 2*i, -161 - 46 = 5*g - i. Put 0.4, g, -1/5 in increasing order. g, -1/5, 0.4 Suppose -z - z = 6. Let w = -38 + 39. Suppose 2*a = -5*x - 3 + w, 0 = 4*x. Put z, a, 2, 4 in decreasing order. 4, 2, a, z Suppose -1 = -3*z + r, 10 = -885*z + 883*z - 2*r. Put -4, 5, 424, z in decreasing order. 424, 5, z, -4 Let w = -13 - -9. Let j(g) = -12*g + 28. Let u be j(6). Let v = u - -46. Sort v, 4, w in decreasing order. 4, v, w Let z = -0.3 + 3.3. Let b be 4 + -14 - (295/(-6))/5. Sort 113, z, b in decreasing order. 113, z, b Suppose -k = 2*k, 15 = 3*c + 5*k. Let s = -3581 - -3595. Put s, 1, c in decreasing order. s, c, 1 Let a = 7196 + -7201. Let q(v) = -v**3 - 2*v**2 + 3*v - 3. Let l be q(-3). Sort -12, l, a in ascending order. -12, a, l Let n(y) = -146*y - 147. Let o be n(-1). Suppose -2*j = -6*m + m + 43, 14 = m + 5*j. Put m, 5, o in descending order. m, 5, o Let x = -20800.5 - -20800. Put -11/5, x, -3/4, -6/5 in ascending order. -11/5, -6/5, -3/4, x Let s(c) = 5*c - 22 - 246*c**2 + 4*c + 247*c**2. Let t be s(-11). Suppose -5*b - 3*h + 4*h + 12 = t, 0 = b - 2*h - 6. Put -5/6, 0.3, b in ascending order. -5/6, 0.3, b Let k be 49/(-14)*(-13 + 2790/210). Suppose 8 = a - 3*a. Sort 0.085, a, k in descending order. 0.085, k, a Let o(a) = -a + 5. Let r be o(5). Suppose 2*z + 0*z + 2 - 96 = -4*s, -84 = -4*s. Let n = 24 + -5. Sort z, r, n in decreasing order. n, z, r Let u = 2.765 + -2.835. Sort -4, u, 4, 23. -4, u, 4, 23 Suppose -1173*o + 539 = -634. Let k = -0.4 + 0. Let s = 2.8 - 3. Sort k, -4, s, o in ascending order. -4, k, s, o Let l(c) = 6*c**3 - 7*c**2 + 11*c - 5. Let w(h) = 7*h**3 - 7*h**2 + 13*h - 5. Let p(g) = 6*l(g) - 5*w(g). Let m be p(7). Put 4, -7, m in increasing order. -7, m, 4 Let k be (-4)/(-10) - 21/15. Let v be 6*(k/2)/(-1). Let q(u) = -
{ "pile_set_name": "DM Mathematics" }
*2 - 79*q + 41. Let n be u(-40). What is the closest to 3 in n, -3, -2/7, 0.1? n Let v be (1/13)/(159/(-318)). Which is the closest to -0.4? (a) 0.1 (b) 71 (c) v c Let p = 88 + -84. Which is the nearest to -4? (a) p (b) -9 (c) 0.5 (d) -0.1 d Suppose 14*s + 10 = 13*s. Let d be -2*(-3)/3 + 0. Which is the closest to s? (a) 0 (b) -3 (c) d b Let t = -5 - -3. Let q be 3 - ((9 - 0) + -9 + 4). What is the nearest to q in -4, 0.02, t? t Let i be 10/(-6)*(-162)/(-90). What is the nearest to 1/3 in 1/3, i, 4? 1/3 Let n be (-3)/2*(-7)/21. Let r(m) = -10*m + 539. Let j be r(54). What is the nearest to 6 in n, j, -0.1? n Let x = -1.02 - -1.1. Let r = x + 0.42. Which is the nearest to -1? (a) r (b) 3/4 (c) -2/17 c Let i = -5 - -6. Let k = 1.3 - i. Let o = -408/7 + 58. Which is the closest to 1/3? (a) 2/3 (b) o (c) k c Suppose 0 = -44*l + 4*l + 40. Which is the nearest to l? (a) -3/5 (b) -1/7 (c) 3 b Let o = 178 + -177.8. Which is the closest to 1? (a) o (b) -0.3 (c) -4 a Let o = 4.85 - -0.15. Let n = -1.3306 - -0.4306. Let f(v) = -v**3 - 3*v**2 + 4*v + 2. Let j be f(-4). Which is the closest to j? (a) o (b) -0.5 (c) n b Let p = 692.3 - 692. Which is the closest to 0.1? (a) p (b) 1/6 (c) -2/25 b Let u(h) = 5*h - 2 - 3*h + 6*h - h**3 + 5*h**2 - h. Let p be u(6). Which is the closest to 1? (a) -3/5 (b) p (c) 0 c Suppose 4*h - h = -4*c + 1, 0 = -2*c - 3*h - 1. Let g be 3 - (-11 - (-408)/30). What is the nearest to g in 0, c, -3/7? 0 Let j be (-210)/(-55) + -4 + 114/264. Which is the closest to 0.1? (a) 2 (b) 3 (c) -5/2 (d) j d Let k(w) = w**2 + 24. Let g be k(0). Let o = 26 - g. Which is the closest to 0? (a) 2/13 (b) 3 (c) o a Let o = -2 - -2. Let f be (((-48)/9)/(-4))/(1700/255). What is the nearest to -2/5 in f, o, 0.5? o Let l = 50/123 + -3/41. Which is the nearest to -1/4? (a) l (b) -0.4 (c) -5 b Let q be (2/(-8))/(3/20). Let m = -660/17 - -7294/187. What is the nearest to 0.1 in 3, q, m? m Let u = -2.96 + -0.04. Let g be (-12)/2 + 9/18*10. What is the closest to u in 5, 1/2, g? g Let m = -0.366 - 1.634. What is the closest to 0 in -5, -2/3, -1, m? -2/3 Let p = -10.8 + 10.8. Which is the nearest to 0? (a) p (b) 5 (c) 3 a Let t = -6.1 + 3.1. Which is the nearest to -2? (a) -0.2 (b) 0.2 (c) t c Let o = -144.4 - -144. What is the nearest to 0 in -1, -0.01, o, 0? 0 Let z be 18/(-27)*42/(-4). Suppose -3*i + 30 = z*i. Let k be ((-4)/(-50))/(1/5). Which is the nearest to -1? (a) k (b) i (c) 2 a Let r = -53.99 + 54. Which is the nearest to -1? (a) r (b) 3/2 (c) -2 c Let o = -28.939 + -0.061. Let x = -28.6 - o. Let w = -27 + 28. Which is the closest to w? (a) x (b) 4 (c) 1 c Let y = 28 + -26. Let l = -9 - -10.2. Let g = 1.4 - l. Which is the nearest to 1? (a) y (b) -3 (c) g c Let s = 14.1 + -13.7. Let f = 32 - 33. Which is the closest to -2? (a) f (b) s (c) 0.2 a Let y = 887 - 891. What is the closest to 20 in -2/13, -5, y? -2/13 Let n be 16/18 + (-4)/18. Let d = -104.172 + 104. Let u = d - -0.072. What is the nearest to n in -1, u, -4? u Let y be 1 + (0 - -1) + 1. Let k be 2*((-63)/35)/(4/(-10)). Which is the nearest to -1? (a) y (b) -4 (c) k b Let u = 8.9 - 8.9. Which is the nearest to u? (a) 1/3 (b) 1/11 (c) -0.3 b Let p = -63.5 - -63. Which is the nearest to 1/2? (a) p (b) 0 (c) 25 b Let q = 14 + 6. Let t = q - 20.18. Let m = -0.02 + t. What is the nearest to 1 in m, 4/7, 3? 4/7 Let y = 1219 - 1219.1. Which is the closest to 0.1? (a) -5 (b) -14 (c) y (d) -3 c Suppose 0*k + 13 = 3*k + 5*y, -2*y = -5*k - 30. Let l be ((-108)/189)/(2 - (-32)/(-14)). What is the closest to 0 in l, -5, k? l Let x = 694 + -698. Which is the closest to -11? (a) -3 (b) -3/7 (c) x c Suppose 15 = h + 2*h. Let f be (0 - 110/8)*-2. Let m = f - 28. Which is the closest to m? (a) 2/7 (b) h (c) -2/11 c Let a = 0 - 3. Let v = -7 + 3. Let n = v + 6. What is the closest to a in 3, n, 5? n Let d(y) = -36*y. Let h be d(-1). Suppose 0 = n + n + 5*v - 24, -h = -3*n - 5*v. Let z = 14 - n. What is the closest to -1 in 1/2, 0.4, z? 0.4 Suppose 0 = 5*d - 38 - 22. Suppose -m - 4 = g, 5*g - 8*g - 5*m = d. Which is the closest to -1? (a) -0.4 (b) 0 (c) g a Let v = -6.61 + 2.61. Let s be (-5)/(-2) - (1 + 1). What is the nearest to 4 in v, s, -5? s Let p = -0.5 - -1. Let w be (-46)/(-14) - ((-81)/(-9) + -6). Let h = 0.1 + -0.2. Which is the closest to w? (a) 2/13 (b) p (c) h a Suppose -3*d = 0, 5*m - d + 5*d = 410. Let i = m + -77. Which is the closest to -4? (a) -0.2 (b) i (c) 0 a Let l = -0.7 + 0.2. Let b = 22644.6 - 22645. What is the nearest to -0.4 in -2, l, b? b Let l = -38 + 17. Let q = -20.8 - l. Which is the nearest to -0.1? (a) -0.3 (b) 3 (c) q a Let y be (-9 - (-2 - 3)) + 56. Let z be -2*(y/24)/(-13). Which is the nearest to z? (a) -0.2 (b) 4/7 (c) -6/5 b Let p be 6/(-8) - 0/2. Let o be (-27)/2*6/(-4)*1. Let t = 20 - o. What is the closest to -1 in 5, p, t? p Suppose 234*n + 15 = 237*n. Let k = 421/52 + -33/4. Which is the nearest to -2/7? (a) k (b) n (c) -0.2 c Let x = 0 - 0.5. Let f be (-2)/5*70/(-112). What is the nearest to 0 in 1, f, x? f Let p be -4 + -3 + (-37)/(-5). Let h be -9*((-4)/(-6) - 1). What is the nearest to p in h, -0.4, 1/7? 1/7 Let u be ((-1)/(-4))/(17/136). Which is the closest to 0.3? (a) 1 (b) 2/13 (c) u b Let j = 2284 + -2283.6. Which is the nearest to -2/7? (a) -0.2 (b) j (c) 2/23 (d) 1/11 a Let p = -9 - -5. Let g(n) be the third derivative of n**5/60 + n**4/24 - n**3/3 + 8*n**2. Let m be g(1). What is the nearest to p in m, 1, -3? -3 Let z = 153.22 - 153. Which is the nearest to 1? (a) z (b) 2/17 (c) 2/5 c Let q = 121.8 - 121.9. What is the nearest to 1/2 in -1/29, q, 4/3, -2/9? -1/29 Let m = 64.909 + 0.091. Let o = -64.6 + m. What is the nearest to o in 0, 3/5, 2? 3/5 Let i = 42 - 52. Let x be (24/(-36))/(i/2). Let t = 0 - 0.2. What is the closest to 3 in x, 3, t? 3 Let o = 11/23 + -211/345. What is the closest to 0 in o, 2/5, 4? o Let y be 6/28*(-56)/144. Let a be 17/(-42) + (-4)/42. What is the closest to a in -2/3, 3/5, y? -2/3 Let f = -12.49 + 11.89. Which is the nearest to -0.1? (a) -3/4 (b) -5/4 (c) 3/4 (d) f d Let n = 1679/9 - 22885/126. Let m = -24/7 + n. What is the nearest to -4 in m, 2, 1/6? 1/6 Let c = -4552/9919 + -2/763. Let z = -3 + 1. What is the nearest to -1 in z, c, 0.4? c Let q = -110 - -111. What is the nearest to 0 in -39, 3, q? q Let c be (-4)/(-3)*18/32. Let k = -0.009 - -0.109. What is the nearest to k in -0.13, c, -1? -0.13 Let y = 2365 - 2359. What is the nearest to -1 in -4, 0.4, y, 2/11? 2/11 Let v be ((-20)/(-35))/(11/33*-6). Let z = -2 + 2. What is the nearest to z in v, -0.4, -5? v Let x = 49.2 + -51.2. What is the closest to 6/11 in x, -5, 1, 1/4? 1/4 Let r = -0.2 + 0.2. Let k = 482.1 + -482. What is the nearest to r in -4, k, 1/3? k Let v = -84.11 - -84.61. Let h = 0 - -1. Which is the nearest to -0.1? (a) v (b) h (c) -2/5 c Let w = 1 - 1.3. Let x be 2 - ((3 - 9) + -4)*3/(-6). What is the closest to x in w, 3, -2/7? w Let k = -1.623 + 1.933. Which is the nearest to 1? (a) k (b) 5 (c) 0.5 (d) -5/4 c Let z be (-25)/(-5)*7/(-5). What is the closest to 0 in 0.3, -3, z? 0.3 Let f(d) = d**3 + 71*d**2 + 202*d - 143. Let s be f(-68). What is the nearest to 0.2 in -1, -6/13, s? -6/13 Let z be 1/(2/5)*14. Suppose k - q + 5*q - 19 = 0, -5*q = 5*k - z. Let j = -2260/3 - -754. What is the nearest to j in -1, k, 0.4? 0.4 Let p = 1.47 - 1.497. What is the closest to -1 in 4, -3/5, 5, p? -3/5 Let t = 144 - 167.6. Let m = t - -24. Which is the nearest to 1/2? (a) -1 (b) m (c) 3 b Let p be (35/63)/(2 - 2/(-4)). What is the nearest to p in 0.1, -16, -0.1? 0.1 Let b = -811 - -714. What is the closest to -1/3 in b, 3, 2? 2 Let p = 17.07 - 17.17. What is the closest to p in -4.57, -0.2, 0.5? -0.2 Let d(v) = -v**2 - 2*v + 1. Let i be d(-3). Let h = -1.55 - -1.35. What is the nearest to h in 5, -3, i? i Let t = 11 + -8.6. Let x = t - 2.4. What is the nearest to 1 in x, 0.2, -2? 0.2 Let i = 11.87 - 1.27. Let u = -6.7 + i. Let y = -4 + u. What is the nearest to y in 0, -4, -0.4? 0 Let v(x) = x**2 + 19*x + 76. Let o be v(-6). Let z = 792/5317 + 2/409. Which is the closest to -1/2? (a) o (b) z (c) -8 b Let t = 0 - -0.2. Let j = -7.6 + 4
{ "pile_set_name": "DM Mathematics" }
m? 10 Let c = 505 + -338. What is the remainder when c is divided by 49? 20 Suppose 4*m - 639*l = -643*l + 2992, 0 = -2*m + l + 1481. What is the remainder when m is divided by 148? 3 Let t(a) be the second derivative of 2*a**3/3 - 29*a**2/2 - 12*a. Calculate the remainder when (1*19)/(6/18) is divided by t(11). 12 What is the remainder when 3993 is divided by 15 - ((-5)/(30/4) + (-200)/(-30))? 6 Let o be (2632/(-24))/(3/((-27)/3)). Suppose o = 10*w - 191. What is the remainder when w is divided by 19? 14 Let n(z) = -242*z - 10572. What is the remainder when 395 is divided by n(-45)? 77 Let l(v) = -12*v**3 + v**2 - 16*v - 58. Calculate the remainder when l(-3) is divided by 86. 65 Suppose -24*p = -29*p + 875. Let f = 12 + 47. Calculate the remainder when p is divided by f. 57 Suppose 5*h + 75 = 5*s, 2986*h + 3 = 5*s + 2990*h. Suppose 5*u - 24 = 6. Let t(g) = -g**3 + 6*g**2 + 3*g - 7. What is the remainder when t(u) is divided by s? 4 Let o(b) be the first derivative of b**4/4 - 8*b**3/3 + 15*b**2/2 - 6*b - 35. What is the remainder when 21 is divided by o(6)? 9 Let a = 75 - 54. Suppose -3*f = -5*x + 22, -3*x - 77*f = -79*f - 14. Calculate the remainder when a is divided by x. 1 Let n be (-6)/(-9) + (-2)/3. Suppose 4*m - 18 - 10 = n. Let b(k) = -k**2 + 78*k + 63014. What is the remainder when b(293) is divided by m? 5 Suppose -j + 2*r + 2725 = -583, -3*r + 15 = 0. Suppose j = 40*n - 4562. Calculate the remainder when n is divided by 21. 8 Let u(h) = -5*h**3 + 5*h**2 + 10*h + 2. Let y be u(-4). Let t = -244 + y. Calculate the remainder when t is divided by 5/(5/14) + 1. 13 Let w = 1514 + -465. Calculate the remainder when w is divided by 81. 77 Suppose 0 = 3*l - 3, 7*b - 3*b = 5*l + 15. Suppose -2*s + 4*a = 8, -154*s = -158*s + 3*a - 36. Calculate the remainder when 59 is divided by 2*b*(-18)/s. 14 Let f be 5 - 1 - (34 + -52). Suppose -17*y = -j - f*y + 55, -y = -j + 73. What is the remainder when j is divided by 41? 29 Let w(s) = -6*s**2 - 4*s - 4. Let u be w(-2). Calculate the remainder when (-1)/(-3)*(-2295)/(-15) is divided by 152/u*20/(-8). 13 Let v(n) = 2*n**3 - 10*n**2 - 15*n + 61. What is the remainder when v(15) is divided by 18? 16 Let i(q) = -q**3 + 6*q**2 - 5*q - 2. Suppose 0 = 3*b + 4*u + 152 - 716, 0 = 3*b - 5*u - 537. Let x = 187 - b. Calculate the remainder when i(4) is divided by x. 1 Suppose 5983 = -5*l + 6928. What is the remainder when 399 is divided by l? 21 Let j(u) = -5*u - 25. Let m be j(-5). Suppose 0 = 6*c - m*c - 222. Suppose 0 = y - 7 - 6. Calculate the remainder when c is divided by y. 11 Let y(k) = 26*k**3 - 5*k**2 + 41*k - 22. Calculate the remainder when y(4) is divided by 572. 10 Let h(f) = 9*f - 56. Suppose 12266 = 20*n - 6634. Calculate the remainder when n is divided by h(11). 42 Suppose -35*s = 22*s - 61389. What is the remainder when s is divided by 18? 15 Suppose 0 = -3*c - 2*o + 4*o + 335, -3*c - 5*o = -349. Calculate the remainder when c is divided by 0/(-1) + (-266)/(-14). 18 Suppose -3*q + 6 = 0, 2*u + 2 = -0*q + q. Suppose -5*h - c - 3 = u, -4*h - 2*c - 3 = -c. Calculate the remainder when (4 - (h - -5))/((-2)/38) is divided by 11. 8 Let l(q) = q**3 - 19*q**2 + 126*q - 137. What is the remainder when l(15) is divided by 172? 165 Suppose 180*l - 310839 = 344901. Calculate the remainder when l is divided by 32. 27 Suppose -4*s + 35 = -p - 2*p, -5*s + 10 = 3*p. Let d(u) = 2*u - s*u**2 + 13 - u**3 + 10*u - 2*u**3 + 2*u**3. What is the remainder when d(-7) is divided by 6? 3 Let n = 358 + -368. Suppose -36 = -5*y + 3*y. Calculate the remainder when (0 + 2)*(0 + n + 27) is divided by y. 16 Let y = 11 - 2. What is the remainder when ((-50)/(-20))/((-160)/(-3264)) is divided by y? 6 Let b be 518*1 + 2 - 3. Suppose -3*k - t + 399 = 0, t = k - 182 + 49. Calculate the remainder when k is divided by ((-6)/(-4) - 2) + b/22. 18 Suppose -1045 + 233 = -28*a. What is the remainder when 543 is divided by a? 21 Let m = -12972 - -14608. Calculate the remainder when m is divided by 14. 12 Suppose -4*q - 2*u = -10, 5*u - 4*u - 4 = -q. Let k be (0 - -35) + -5 + (6 - q). Suppose -5*j = -k - 100. Calculate the remainder when 159 is divided by j. 24 Let q be (-4 - -5)*3 + -3. Suppose 3*v + q*v = 3. What is the remainder when ((v - 0)*2)/1 + 59 is divided by 16? 13 Let d = 471 + -429. Suppose -3 + d = 3*c. Calculate the remainder when c is divided by 3. 1 Let f(g) = 27*g**2 - 2*g + 1. Suppose -3*o - 31 = 50. Let u = o - -28. Calculate the remainder when 50 is divided by f(u). 24 Suppose 342*x = -4*u + 337*x + 7387, x = 2*u - 3697. Calculate the remainder when u is divided by 25. 23 Let a(u) = u**3 - 5*u**2 - 2*u + 12. Suppose t = 2*s + 71 - 16, 0 = 3*s + t + 85. Let y = -8 - s. Calculate the remainder when a(6) is divided by y. 16 Let c = -29607 - -29686. Calculate the remainder when 7425 is divided by c. 78 Suppose 5*g + 4*x = 74, -3*g + 36 = -5*x - 1. Calculate the remainder when 201 is divided by g. 5 Let j = 6690 + -6637. Calculate the remainder when 1268 is divided by j. 49 Let k = 444 - 383. Suppose g - 4 + 2 = 0. Suppose g*a - 2*c = -3*c + 43, -107 = -5*a - 2*c. What is the remainder when k is divided by a? 19 Suppose -n - 5*x = -224, -170 = -7*n + 6*n + 4*x. What is the remainder when n is divided by 92? 10 Let t = 9 - 36. Let g(s) = -11*s - 27. Let y be g(t). Suppose 0 = -7*i - 11*i + y. What is the remainder when i is divided by 3? 0 Let h = 180 - 176. Suppose -4*y - y + 4*r = -55, h*y - 3*r = 45. Calculate the remainder when y is divided by 9. 6 What is the remainder when ((-36)/(-21) - 2)*-834*(-4 - -11) is divided by 38? 34 Let c(d) = 5*d + 62. Suppose z + 33 = 42. Calculate the remainder when c(z) is divided by -3*(-14 + 2)*1. 35 Let d(c) be the third derivative of c**6/60 - c**5/6 + c**4/4 - 2*c**3 - 2*c**2 - c. Let h = -111 - -253. Calculate the remainder when h is divided by d(5). 16 Suppose 3*n - s - 8 = 3, -3*n - 1 = -4*s. Calculate the remainder when 64 + n + (-2)/(-2) is divided by 15. 10 Suppose 197*j + 8947 = 220*j. What is the remainder when j is divided by 37? 19 Suppose 642 = 32*n - 2*s, -2*s = 18*n - 13*n - 98. What is the remainder when 2376 is divided by n? 16 Let t(r) = -r**3 + 7*r**2 - r - 26. Let i be t(6). Let j(z) = 3*z**2 + 10*z - 7. Calculate the remainder when j(i) is divided by 12. 9 Suppose -g - 316 = q, 13*g = 11*g - q - 631. Let i = 666 + g. What is the remainder when i is divided by 16? 15 Let b(j) = -53*j - 415. Calculate the remainder when 69 is divided by b(-8). 6 Suppose 0 = 4*g + 3*d + 1703, 28*d - 25*d + 2125 = -5*g. Let k = -406 - g. Let q = 78 - 33. Calculate the remainder when q is divided by k. 13 Let x = -912 - -2403. Suppose 9*l - x = 372. Calculate the remainder when l is divided by 16. 15 Let k(x) = -22*x**2 + 2*x + 8. Let r be k(-2). Let p = r - -123. Calculate the remainder when p is divided by 5. 4 Let x = -38 + 58. Suppose -2*m + 146 + x = 0. Let d = -2831 - -2860. What is the remainder when m is divided by d? 25 Let a(x) = 4*x**2 + 29*x + 6. Let t = -273 + 477. Calculate the remainder when t is divided by a(-9). 66 Suppose 4*r + 142 = 5*a, 6*a = 3*a - 3*r + 69. Suppose -a = -2*i + 3*d, 4*i - 2*i - 2 = -3*d. Calculate the remainder when i is divided by 5. 2 Let q(j) = -173*j - 1. Let b be q(1). Let l = -166 - b. Calculate the remainder when 39 is divided by l. 7 Suppose 41*h - 17*h = 552. Let l(n) = -n**2 + 6*n + 5. Calculate the remainder when h is divided by l(5). 3 Let f(o) = -o. Let q(y) = -5*y - 2. Let j(k) = -4*f(k) - q(k). Suppose 32 = -6*z + 536. What is the remainder when z is divided by j(3)? 26 Suppose -25 = 5*a, 2*n + 2*a = -2*n + 1094. Let c = -143 + n. Calculate the remainder when c is divided by 15. 13 Let m = -87 + 124. Suppose 0 = -d - 2*b + 35, -b + 436 - 477 = -4*d. Calculate the remainder when m is divided by d. 11 Suppose 2328 - 3246 = -18*v. What is the remainder when 3306 is divided by v? 42 Suppose -2*t - 13 = 3*h + 3*t, 5*h = -t + 15. Suppose 2*w - v - 2 - h = 0, 4*v = 4*w - 20. Let i = -59756 + 59757. What is the remainder when w is divided by i? 0 Let b(o) = 8*o - 117. Let k be b(15). Calculate the remainder when 109 is divided by 28 + -10 + k + 1. 21 Let h be (-1 + -4)/(5/(-10)). Suppose -16 = -2*o - h. Suppose 0 = 17*p - 15*p - 40. Wha
{ "pile_set_name": "DM Mathematics" }
ctor of 288 and k? 9 Let t be (-4)/3*3/2. Let h(u) = -2*u**3 - 3*u**2 + 1. Let q be h(t). What is the highest common factor of q and 40? 5 Suppose 4*y - 344 = -3*o, -258 = -4*y + y + 4*o. Suppose 3*d + 49 = 4*b, -5*b - 5*d - 16 = -y. Calculate the highest common divisor of b and 13. 13 Suppose -154 = -0*i - 7*i. Let a = -18 - -29. Calculate the greatest common divisor of a and i. 11 Suppose 2*l - 743 - 1296 = -3*t, 3*l = 5*t + 3011. What is the highest common factor of l and 92? 92 Suppose -4*f - 4 = 0, -l + f + 2 - 1 = 0. Let c be 1 + l + (-96)/(-4). Suppose -5*i + c = -0*i. What is the highest common divisor of i and 5? 5 Let o(n) be the first derivative of -67*n**4/4 - n**3/3 - n**2/2 - 2*n - 25. Let q be o(-1). Calculate the greatest common factor of 13 and q. 13 Let g(p) = -p - 1 - 43*p**2 + 20*p**2 + 24*p**2. Let c be g(-5). Calculate the highest common factor of 29 and c. 29 Let a = -50 + 26. Suppose 0 = 7*b - 2*b - 400. Let u be (b/12)/(-5)*a. Calculate the greatest common factor of u and 4. 4 Suppose -189 = -5*h - 49. Calculate the highest common divisor of 28 and h. 28 Let x(o) = -o**3 + 15*o**2 - 17*o + 51. Let m be x(14). What is the highest common factor of m and 2? 1 Suppose -44*h = -41*h - 351. Suppose 4*j = 15 + h. Calculate the highest common divisor of 99 and j. 33 Suppose -2*c + 39 = c. Suppose -42*p + 2269 + 1007 = 0. Calculate the highest common factor of p and c. 13 Let i be (48/(-112) - 3816/14)/(-1). Calculate the highest common divisor of i and 507. 39 Suppose k - 114 = -0*k. Suppose 30 = 2*l - k. What is the greatest common factor of 24 and l? 24 Let j = 119 + -115. Suppose j*c = 2*c, 4*c + 624 = 3*u. Calculate the highest common factor of 16 and u. 16 Suppose 15*t - 495 = 6*t. Let y be -2 + 74*2/4. Let h = y + t. What is the greatest common divisor of h and 18? 18 Suppose 5*g + 8 - 13 = 0. Let v(r) = 11*r**3 - r**2 - 2*r + 2. Let a be v(g). Calculate the greatest common factor of a and 30. 10 Suppose 4*c + 17 - 189 = 3*s, -2*c + 76 = -4*s. What is the greatest common factor of c and 414? 46 Suppose -30 = -4*q - 2*q. Let p be (-446)/10 - (-4)/(-10). Let k = p + 70. What is the greatest common factor of k and q? 5 Suppose -7*o + 104 = 76. What is the greatest common factor of 108 and o? 4 Let t = 465 + -318. Calculate the greatest common divisor of 63 and t. 21 Let v = -5 + 4. Let n be (8/(-10))/((-2)/(-5)) - 32. Let s be v + n*3/(-6). Calculate the greatest common factor of s and 144. 16 Let h(k) = k**3 - 10*k**2 - 11*k + 9. Let s be h(11). Let m = 0 - -2. Let a be (3/m)/(5/180). Calculate the highest common divisor of s and a. 9 Suppose 2*s - 17 = 7. Let q be (s/9)/((-4)/(-30)). Let i(y) = -6*y**3 + 2. Let x be i(-2). Calculate the highest common factor of x and q. 10 Let u(z) be the second derivative of 41*z**3/6 - z**2 - z. Let w be u(1). Calculate the greatest common divisor of w and 26. 13 Suppose 6*q = 9*q + 2*l - 15, l - 12 = -3*q. Suppose -4*h - 4*r = -46 - 46, 2*r = -5*h + 109. Calculate the highest common divisor of h and q. 3 Let k(z) = -z**3 - 3*z**2 - 12*z - 2. Let y(p) = -p**3 - p**2 + p - 1. Let o(i) = k(i) - 2*y(i). Let b be o(5). What is the greatest common divisor of 50 and b? 10 Let n(f) = -f**3 - 3*f**2 - 4*f - 4. Let w be n(-4). Calculate the highest common factor of w and 672. 28 Suppose 1 = 3*c - x, 3*c - c - 5*x = -21. Suppose 0 = 5*l + 3*w - 108, 5*w + 60 = 3*l + c*w. Calculate the highest common factor of 7 and l. 7 Let t(s) = -23*s - 21. Let g be t(-3). What is the highest common divisor of g and 112? 16 Let t(y) = y**2 + 3*y - 2. Let a be t(1). Suppose 23 + a = 5*r. Let u = 12 + r. Calculate the highest common divisor of u and 51. 17 Let l = 127 - 122. Suppose 0 = 5*w - 25. What is the greatest common factor of w and l? 5 Suppose 0 = 4*m + 3*m - 91. Suppose -m*w + 308 = -6*w. Calculate the greatest common factor of w and 11. 11 Let c(x) = -x + 3. Let i be c(-17). Calculate the highest common factor of 85 and i. 5 Suppose -2*w + 5*n + 59 = 0, 2*n + 15 = -n. Let z = 33 - w. Calculate the highest common factor of 6 and z. 2 Let a be 60/(-9) - (-2)/3. Let x be a/4 + (-15)/(-2) + 2. What is the greatest common divisor of 88 and x? 8 Let x(k) = k**3 + 4*k**2 - 2*k. Let a be x(4). What is the highest common factor of a and 50? 10 Let n(o) = 60*o - 25. Let a be n(7). Let d be a/(-10)*-8 + 3. What is the highest common divisor of d and 29? 29 Suppose -86 = l - 94. What is the greatest common divisor of l and 1912? 8 Let p be 3 + -8 + 1 - -16. Suppose -4*j + 2 = i - p, 2*j + 14 = i. Calculate the highest common factor of 14 and i. 14 Let c(o) = 82*o**2 - 29*o. Let j be c(2). Calculate the greatest common factor of 4 and j. 2 Suppose j + 5*a = 74, 5*j + 4*a - 3 - 409 = 0. Calculate the greatest common factor of j and 72. 12 Let c(d) = 5*d - 5. Let m be c(-9). Let x = m - 17. Let y = -19 - x. Calculate the highest common factor of y and 32. 16 Suppose -7*u - 159 = -4*s - 2*u, 3*u = -2*s + 63. What is the greatest common factor of 60 and s? 12 Let l(j) = j**2 + 4*j. Let z be l(-4). Suppose -3*s + 15 = -v, v + z*v = 2*s - 9. Suppose s = 4*c - 10. Calculate the highest common divisor of 6 and c. 2 Let u = -18 + 73. Let b = u + -121. Let r = b + 141. Calculate the highest common factor of 15 and r. 15 Let k(y) = -1. Let v(c) = 2*c + 1. Let t(i) = 5*k(i) + v(i). Let h be t(4). What is the greatest common divisor of 28 and h? 4 Let f be (-112)/12*12/(-16). Suppose -f*z + 1400 = z. Calculate the highest common factor of 25 and z. 25 Let r(k) = -48*k + 8. Let m be r(2). Let y = m - -95. What is the highest common factor of 35 and y? 7 Let n be (-9)/(27/(-363)) - 3. Calculate the highest common divisor of n and 295. 59 Suppose 42*j + 812 = 31724. Calculate the highest common divisor of 46 and j. 46 Let s be (11 - (-6 + 3)) + -3. Calculate the highest common divisor of s and 913. 11 Suppose -2*g = -2*u - 86, g - 4*g = -4*u - 134. What is the greatest common factor of g and 114? 38 Let w = 59 + -57. Suppose w*h - 229 = 145. What is the highest common factor of 11 and h? 11 Let o be (1 - -55)/((-37)/(-296)). What is the greatest common factor of 64 and o? 64 Let h be ((-16)/(-12))/((-8)/(-756)). Suppose 70 = -22*j + 27*j. What is the greatest common divisor of h and j? 14 Let w be 87*1*76/57 + 0. What is the greatest common divisor of w and 261? 29 Suppose -5*q - 29*a = -34*a - 60, 3*q - 5*a = 42. What is the highest common divisor of 6 and q? 3 Let q(r) = -r**2 + 13*r - 10. Let l be q(11). Suppose 3*v = -4*b + 18, -12 = 5*b + 3. Let p be l/(-20) + 186/v. Calculate the highest common divisor of p and 6. 6 Let b = 30 - 7. Suppose -28 = -5*w - k, w - 5*k - b = -7. Calculate the greatest common factor of w and 9. 3 Let x(p) = -p**3 + 14*p**2 + 5*p - 61. Let w be x(14). Calculate the greatest common divisor of w and 36. 9 Let o(l) = -3*l + 368. Let h be o(26). What is the highest common factor of h and 87? 29 Let h(l) = -l**3 + 9*l**2 - 3*l + 9. Let u be h(6). Let r be (-2 - (-21)/9)/((-3)/(-99)). What is the greatest common factor of u and r? 11 Let t(f) = -f**3 - 2*f**2 + 3*f + 1. Let h be t(0). Calculate the highest common divisor of 23 and h. 1 Suppose -13*f + 12*f = 0. Suppose -5*h + 5 = -5*l + 20, -5*l - h + 21 = f. What is the highest common factor of 52 and l? 4 Suppose 0 = 3*q + 2*t - 12, 5*t - 4 = -0*q - q. Suppose -5*m + 2*r - 4*r + 108 = 0, -84 = -4*m - r. What is the greatest common factor of q and m? 4 Suppose -5 = -2*o - 21. Let s be o - -11 - (1 + -42). What is the greatest common divisor of 22 and s? 22 Let f = 121 - 73. Let m = f - 22. What is the greatest common divisor of m and 65? 13 Suppose -4*z = -4, 3*z + 2*z = -3*s + 62. What is the highest common divisor of 3 and s? 1 Let o(p) = p**3 + 9*p**2 + 2*p - 25. Let g be o(-6). Calculate the greatest common divisor of g and 923. 71 Let z = 13 - 9. Suppose 118 = 22*w + 37*w. What is the highest common divisor of z and w? 2 Let w = 232 - 177. What is the greatest common divisor of w and 33? 11 Suppose -3*k + 12*a + 1134 = 9*a, 3*k - 1126 = -a. Calculate the greatest common divisor of k and 8. 8 Let u be (-14)/8 - (-699)/4. Calculate the highest common factor of u and 1. 1 Suppose 4*l - 448 = -3*l. What is the greatest common factor of l and 160? 3
{ "pile_set_name": "DM Mathematics" }
nd the common denominator of (5/(-33))/(2/(-51)) and ((-2)/(-4))/((-16)/(-28)). 88 Let s = -8554221243/374 - -22872196. Let h = 350356/17 + -20560. Let v = h + s. Calculate the common denominator of -7/6 and v. 66 Calculate the common denominator of (((-12)/8)/(-3))/(-3) and 21/67. 402 What is the common denominator of 11/10 and (1 + 3)*852/288? 30 Let f be ((-16)/12)/((-4)/6). Suppose 4*b + 2*i + 0*i = 12, -b + 3 = -f*i. Calculate the least common multiple of 42/9 + (-4)/6 and b. 12 Let b(t) = -t**2 - 9*t + 2. What is the smallest common multiple of b(-4) and (-46)/(-2) + 4 + -9? 198 What is the lowest common multiple of 6 + -6 - (-10 + 0) and 16? 80 Suppose 5*c + 11572 - 297 = 0. Let s = c - -15753/7. Find the common denominator of -4/9 and s. 63 Let q(y) = -4009*y + 5. Let u be q(5). Let d = -360629/18 - u. Find the common denominator of 9/14 and d. 126 Suppose o + 2*z - 18 = 5*z, 2*o - 4*z - 26 = 0. What is the smallest common multiple of 25/o - 2/(-3) and 2? 18 Let b be 4/18 + (-65)/9. Let p = b - -13. Let o(d) = d**3 - 7*d**2 + 8*d - 2. What is the lowest common multiple of 9 and o(p)? 90 Find the common denominator of ((-12)/84)/(3/(-6)) and -49/4. 28 Let g be 4/(-10) + 6/(-10). Let c(l) = 21*l - 29*l**3 - 2*l**2 + 6*l**3 - 22*l. What is the smallest common multiple of 12 and c(g)? 132 Let j(s) = -41 - s**2 - 10*s + 3*s + 41. What is the lowest common multiple of 1 and j(-6)? 6 Let z = 2153/12 - 482/3. What is the common denominator of 31/10 and z? 20 Suppose -5*s - 7 = -4*s - 3*j, 0 = 4*s - 5*j + 7. Calculate the lowest common multiple of 3 and s. 6 Let b = 295/38 - 24/19. Calculate the common denominator of 21/11 and b. 22 Let l = 19975 - 878973/44. Calculate the common denominator of -53/14 and l. 308 Suppose 0*j - 57 = -3*j. Let n = j - 11. What is the lowest common multiple of n and 1? 8 Suppose -2*d = -2*j - 8, -5*d = j - 0*j - 26. Let g = j + 7. Suppose -52 = -4*z + 2*c, 3*z - 5*c - 36 = -2*c. What is the least common multiple of z and g? 56 Let g(m) = -3*m - 3. Suppose 0 = -2*h + 4 + 4. What is the least common multiple of h and g(-3)? 12 Let p = -1493 + 29967/20. Suppose -2*y - 4577 = 3*t, -4*y - 1517 = t + y. Let x = t - -33491/22. Calculate the common denominator of x and p. 220 Suppose -5*t = -71 + 11. What is the least common multiple of 22 and t? 132 Suppose -z = 4*z - 70. Let t = 38 - 18. Let o = 32 - t. Calculate the least common multiple of z and o. 84 Find the common denominator of 23/8 and 98/22 - (-6)/(-2). 88 Suppose 3*n - 5*t - 26 = 0, -6*n = -2*n + 3*t - 54. Suppose -3*y = 2*o - 25, 0*o = 4*o + y - 75. What is the lowest common multiple of o and n? 60 Let w(z) = z**3 - 7*z**2 + 7*z - 3. Suppose 4*o - 10 = -3*q, 8*q + 4*o = 4*q + 16. What is the least common multiple of w(q) and 9? 9 Suppose 4*u + 1888 = -4*t + 720, -2*u - 1457 = 5*t. Let o = 1/155 + 11313/310. Calculate the common denominator of t/4*8/36 and o. 6 Suppose 3*z = 4956 - 13617. Let b = 1984 + z. Let v = b + 3647/4. Find the common denominator of v and 77/2. 4 Let f = 39989/6 - 6682. What is the common denominator of f and 35/17? 102 Let s be 33/22*(-35314)/24. Let x = s - -2213. Find the common denominator of (-1)/(-22)*-1*-45 and x. 88 Suppose -5*z + 70 = 2*k, z + 0*z = 4*k - 8. Calculate the least common multiple of 8 and z. 24 Let n(o) = -o**3 - 3*o**2. Let h = 5 + 23. Suppose 0 = -5*r - u + 108, -r + 2*r - 3*u = h. Calculate the smallest common multiple of r and n(-4). 176 Suppose 2*d = -d - 33. Let l = -7 - d. Suppose -3*y = -l + 52. What is the common denominator of -53/4 and y? 4 Let y be 68/(-18) + 2/(-9). What is the common denominator of (2/y)/((-10)/(-121)) and (4/16)/((-2)/7)? 40 Let d = -6 + 10. Let u(t) = -2*t**3 - 3*t**2 - 2*t - 3. Calculate the least common multiple of d and u(-2). 20 Suppose -4*h - 228 = -0*h. Let u = h - -41. Calculate the common denominator of 12/5 and -7 + 4 + (-26)/u. 40 Suppose -23*v + 63 + 305 = 0. Let n be (6/(-4))/((-2)/4). Suppose q = -n + 15. What is the lowest common multiple of q and v? 48 Suppose -4*a + 63 = 5*d + 5, 44 = 5*d - 3*a. Calculate the least common multiple of d and (-2 - -1) + 7 + 0. 30 Let q = 4 + -7. Suppose -3*r + 30 + 63 = 0. Find the common denominator of q/8 - (-1)/2 and r. 8 Let i(m) = m**2 - 6*m - 2. Let d be i(6). Let h = -5525/11 - -504. Find the common denominator of h and 4/16*(-1)/d. 88 Let v = 4115 + -24767/6. Let l be ((-35339)/(-2))/(22/2). Let o = -1606 + l. Calculate the common denominator of o and v. 66 Suppose 2*l + 6 = -8. Let t = l - -9. What is the lowest common multiple of 2 and t? 2 Let i(w) = -2*w + 1. Suppose 4*c = -4*u + 16, 5*c + 4*u - 23 = -1. What is the lowest common multiple of i(-4) and c? 18 Suppose 5*w = -0*g - g - 91, 0 = -5*w - 3*g - 83. Let c = w + 39. Let v = 27 - 7. What is the lowest common multiple of c and v? 20 Suppose -4*z = -6 - 6. What is the smallest common multiple of 8 and z? 24 Let b = -49381893166/10329167135 - 5431/1369462. Let k = -2/2155 + b. Calculate the common denominator of 133/18 and k. 126 Let p = -1707/8 - -224. Let f be (9 + 9)/(8/(-218)). Let u = 10697/22 + f. What is the common denominator of u and p? 88 Let h be -3 - 2/(1/(-1)). Find the common denominator of 89/4 and h*(154/12 + 1). 12 Let x = -21451/6 + 3565. What is the common denominator of x and -17/24? 24 Let j = -3 - -11. Suppose 0 = 6*f - 2*f. Suppose f = -2*l - 5*r + 12, 5*r + 9 = 3*l - 9. What is the smallest common multiple of l and j? 24 Let u(f) = -f**3 - 13*f**2 - f - 6. Calculate the smallest common multiple of u(-13) and 3. 21 Let f = -285/8 + 89/8. What is the common denominator of 2/8 - 166/88 and f? 22 Let m = -17 + 69/4. Let d = 6 + -10. Find the common denominator of (-10)/d*(-21)/30 and m. 4 Let p(u) = -8*u + 1 - 4*u - 1 + 3. Find the common denominator of -24/11 and p(-3). 11 Let m(j) = 11*j**2 - 3*j - 2. What is the smallest common multiple of 20 and m(-2)? 240 Calculate the least common multiple of 2*(3/2)/((-9)/(-12)) and 1. 4 Let r(f) = f + 2. Let s be r(-4). Let u(k) = -k. Let x be u(-7). Let h = s + x. What is the lowest common multiple of h and 11? 55 Calculate the smallest common multiple of -1 + 4 + 7 + 4 and 2. 14 Suppose -2*w - 12 = -52. Calculate the smallest common multiple of w and 16. 80 Let a = -12 + 9. Calculate the smallest common multiple of 16 and ((-8)/a)/((-14)/(-63)). 48 Suppose -x - 4*x = 105. Let u = -13 - x. Suppose -4*g + g + 2*b = -u, 2 = -3*g + 4*b. What is the least common multiple of 22 and g? 66 Let s = 2038/7 + -290. Let d = 391/262 + 1/131. Calculate the common denominator of s and d. 14 Suppose -8*x + 48 = 336. Find the common denominator of x and -5/16. 16 Let p = 14 - 24. What is the smallest common multiple of 22 and (-2)/p + 177/15? 132 Let k = 12 + -7. Let n = k + 5. Suppose 4 = z, 5*z - 24 = i - 2*i. What is the least common multiple of n and i? 20 Let x = 14 + -4. What is the smallest common multiple of 22 and x? 110 Let n(p) = -2*p**2 - p - 2. Let t be n(2). What is the common denominator of 35/6 and t/(-16) - (-39)/30? 60 Let c(m) = -m**3 + m**2 + m + 1. Calculate the least common multiple of 50 and c(-1). 50 Suppose -b = -5*t + 28, 2*b = -3*t - 0*b + 22. Let o = 1 + -3. Calculate the lowest common multiple of o/6 + (-134)/(-6) and t. 66 Let f be (-15)/(-4) - (-1)/4. Suppose -15 = f*p - 87. Calculate the least common multiple of p and (4/(-1))/((-2)/5). 90 Suppose -4*q = -3*q + x - 1272, -4*q + 5*x + 5133 = 0. Let y = 14061/11 - q. Calculate the common denominator of y and 20 - (-1)/((-3)/2). 33 Suppose -d + 2*m = -1 - 9, -3*d - m = -30. What is the least common multiple of d and 20? 20 Let x(s) = -s**2 + 7*s + 2. What is the lowest common multiple of (-2)/4 + (-297)/(-18) and x(7)? 16 Let r(k) = 25*k**2 - 6*k - 1. What is the smallest common multiple of r(-1) and 9? 90 Suppose 4*o + 3*f - 28 = 0, 3*o + 3*f - 14 = o. What is the lowest common multiple of (6/o)/(3/21) and 7? 42 Suppose 5*n = n - 2*k + 1008, 5*k - 504 = -2*n. Let s = 685/68 + 20/17. Calculate the common denominator of (-2)/(2 - n/142) and s. 8 Let z = -1 + 1. Suppose z = 3*g - 6 - 24. Calculate the least common multiple of 7 and g. 70 Let y = 47 - 28. Let n = y + -17. Let b = 5 - -11. What is the least common multiple of n and b? 16 Calculate
{ "pile_set_name": "DM Mathematics" }
*y, 7*b - y - 75 = 3*b. What is the highest common divisor of b and 36? 18 Let i = -48 - 46. Let z = i + 107. What is the highest common divisor of z and 91? 13 Let p be 1/(-3)*0*-1. Suppose 9*i - 441 - 9 = p. What is the highest common factor of i and 125? 25 Let s = 66 - 16. Let p(o) = 141*o + 448. Let g be p(-3). Calculate the highest common factor of s and g. 25 Let a(c) = c + 12. Let q be a(-5). Suppose -2*s + 3*j = 5*j + 2, -4*s = 5*j + q. What is the highest common divisor of 16 and s? 2 Let b = 17 - 9. Let r be (16/10)/((-22)/275). Let c be 2/(-4) - r/b. Calculate the highest common factor of 2 and c. 2 Let d(n) = 2*n**2 + 2*n - 8. Let b be d(-4). Let o = -4 - -8. Suppose b = t - o. What is the greatest common divisor of 160 and t? 20 Suppose -m - 234 = -5*h, h = -h - 5*m + 72. Let j be h/(-6) + (-2)/(-3). Let y = -3 - j. Calculate the greatest common divisor of 32 and y. 4 Suppose -14 = -4*j - p, 4*j = 5*p - 6 + 8. Calculate the greatest common divisor of j and 177. 3 Suppose -31*p + 1517 = 29. What is the highest common divisor of 84 and p? 12 Suppose -2*o + 390 = 3*u - 128, 3*o - 689 = -4*u. Calculate the greatest common divisor of 64 and u. 16 Suppose 248 = -5*x + 303. Let t be 4396/10 + 2/5. Suppose 3*c - t = -2*c. What is the highest common factor of x and c? 11 Let n = 148 - 147. Calculate the greatest common factor of n and 139. 1 Let s(q) = -q + 0*q - 4 + 6*q - 3*q. Let t(m) = 9*m**2 - 1. Let n be t(1). Let c be s(n). Calculate the highest common divisor of 12 and c. 12 Suppose -2*a = -4*q - 2, -3*q + a = 1 - 0. Let r be (-1 - q) + (-38 + -1)/(-3). Calculate the greatest common divisor of 3 and r. 3 Suppose -5*v + 21426 - 3266 = 0. Let s be 3/(-5) + v/20. Suppose 55 = -3*p + s. What is the greatest common divisor of p and 6? 6 Let g = 45 - 41. Suppose -n = 2*p + g*n - 14, 2*p - 2*n - 28 = 0. Calculate the highest common divisor of p and 36. 12 Let g(z) = z**3 + 14*z**2 + 17*z + 18. Let i be g(-12). Calculate the highest common factor of 17 and i. 17 Let h be 1 + 2 + 6 + 1. Let p = 11 - -170. Let o = p + -101. Calculate the highest common divisor of o and h. 10 Let y = 118 - -205. What is the highest common divisor of y and 19? 19 Let c = 502 - 462. Calculate the greatest common factor of 430 and c. 10 Suppose -3 = c - 5*z, 5*c - 7 - 4 = -z. What is the greatest common factor of c and 9? 1 Let i(j) = -j**3 + 26*j**2 - 44*j + 4. Let q be i(24). What is the greatest common factor of 250 and q? 50 Suppose -4*n = -3*i + 388, 2*i - i + 3*n = 125. Suppose -i - 756 = -4*r. What is the greatest common factor of 13 and r? 13 Let y(s) = -3*s + 2. Suppose -2*v + 14 = -2*x - 2, 0 = 2*x - v + 12. Let i be y(x). Let p be 178/i + 2/7. What is the greatest common factor of 39 and p? 13 Let p = 851 + -656. What is the greatest common factor of p and 91? 13 Suppose -19*x = 68*x - 31059. What is the highest common divisor of x and 84? 21 Suppose -3*p + 26 - 5 = v, 3*v = -3*p + 27. What is the greatest common divisor of p and 54? 6 Let w(n) = 16*n + 15. Let j be w(5). Suppose 0*l = 2*d + 2*l - 44, -5*l = -5*d + 80. Calculate the highest common divisor of j and d. 19 Let f(s) = -32*s - 537. Let i be f(-17). Calculate the highest common factor of i and 91. 7 Let f be (1 - -5 - 5 - -1) + 178. Calculate the highest common divisor of f and 324. 36 Let d = -5 + 14. Suppose -3*y = -499 + 166. Suppose 327 = 6*q + y. Calculate the highest common factor of d and q. 9 Let v = 95 + 17. Let x(n) = 8*n**2 - 2*n. Let k = 10 - 8. Let y be x(k). Calculate the greatest common factor of y and v. 28 Suppose -20*h + 228 = -8*h. Let s = h - 18. Calculate the greatest common factor of 1 and s. 1 Suppose -3*t + 25 = 2*t. Suppose 33 = 2*v - 0*m + 5*m, 4*v - 21 = t*m. Let w be v + -6 + -1 + 4. What is the highest common factor of w and 18? 6 Let k be 4/(-14) + 24/(-14). Let m = -223 + 159. Let g be (-2)/(m/(-36) + k). What is the greatest common factor of g and 1? 1 Suppose 10 - 40 = -5*k. Suppose -4*t = -k*q + q - 172, 132 = 4*t + 5*q. Let i = -34 - -91. Calculate the highest common factor of t and i. 19 Let h(w) = -w**3 - w + 5. Let m be h(-3). What is the greatest common factor of 56 and m? 7 Suppose 0 = -r + 2*r - 5. Let a be (-7 + r)*39/(-2). Calculate the highest common divisor of a and 13. 13 Let g be -13*(-1 - (-1 + 3)). Let b be 4/18 - (-32)/18. Suppose -2*k + 13 = -3*f - 22, 6 = -b*f. Calculate the greatest common divisor of g and k. 13 Suppose 0 = 7*r + 4 - 18. Let x = 2 + 7. Let k be ((-12)/(-9))/(6/x). Calculate the highest common factor of r and k. 2 Let d(f) = -4*f + 18. Let x be d(5). Let q be 17 + (-2 - (-4 - x)). Let k = 8 - -111. Calculate the highest common divisor of k and q. 17 Suppose k = -0*k + 84. Suppose -k = -5*t - 34. Suppose 0 = 4*j - n - 2*n - 271, -3*j - 5*n = -225. What is the greatest common divisor of t and j? 10 Let c = 254 - -69. Calculate the highest common factor of 17 and c. 17 Suppose -3*r = -t - 0*r + 24, -4*t - 2*r + 54 = 0. Let z be (-1*1)/(t/405). Let k = 38 + z. Calculate the highest common factor of 66 and k. 11 Let w(t) = 10*t - 57. Let f be w(6). Let d be (22 + 0)*(-3)/(-6). Suppose f*p + u = 11 + d, -3*p + 26 = 2*u. Calculate the highest common divisor of p and 24. 6 Let w = -706 - -710. Calculate the greatest common divisor of w and 10. 2 Let f(d) = d + 12. Let v be f(-9). Suppose 0 = -2*i - 8, v*i - 2*i + 60 = 4*x. Calculate the greatest common factor of x and 21. 7 Let r = -443 + 675. Suppose -4*p - 128 = -4*d + 2*d, 3*d + 4*p - r = 0. What is the highest common factor of 36 and d? 36 Let u = -55 - -79. Suppose 0 = -2*v + 4, 4*v - u = -4*c. Suppose 4*r - 4 = c. What is the greatest common divisor of 10 and r? 2 Suppose 5*v - 17 = -2*b, 5*b = -5*v + 6*b + 29. Let n be (-2)/v - (-564)/10. What is the highest common factor of 84 and n? 28 Let g be (93/10)/((-23)/(-230)). Calculate the highest common divisor of g and 837. 93 Suppose -58*c = -2566 + 188. Calculate the greatest common divisor of c and 656. 41 Let t be (91 - (2 + -3)) + -2. Let a = 23 - 18. Suppose 3*y = -5*w + 8 + 7, -3*w = a*y - 41. What is the greatest common factor of t and y? 10 Let z be (2 + 8)/(6 + -4). Calculate the greatest common factor of z and 11. 1 Let v(b) = b**2 - 7*b + 14. Let z be v(7). Let m(c) = -c**3 + 7*c**2 - 2*c + 5. Let h be m(7). Let s = h + 11. Calculate the greatest common divisor of z and s. 2 Let p be (-4)/14 - 156/(-7). Let w be (-4)/(-7) - (12 + (-10440)/105). What is the greatest common divisor of w and p? 22 Let c be (-1)/(-3) + (-4)/12. Suppose c = 2*f + 2*f - 112. Suppose -3*u = b - 16, -b = 4*u + 2*b - f. Calculate the greatest common factor of u and 32. 4 Suppose h = 13 - 8. Suppose -3*f + 14 = -4*m - 10, 3*m - 11 = -h*f. Calculate the greatest common divisor of 28 and f. 4 Suppose 7 = 3*w - 5. Let q be 75/10*8/3. Suppose 0 = -w*o - q, -3*o = -x + 2*o + 36. Calculate the highest common divisor of 11 and x. 11 Suppose -y + 28 = 6*y. Suppose y*b - 32 = 5*u + 11, 63 = 4*b - u. What is the greatest common divisor of b and 17? 17 Let q = -239 - -437. What is the greatest common divisor of 18 and q? 18 Suppose l - 1 = 2. Suppose l = -2*j - 5*n, 5*n + 0*n = 3*j - 8. Calculate the highest common factor of 9 and j. 1 Let b(i) = i**2 + i + 5. Let p = -28 - -25. Let z be b(p). What is the highest common divisor of z and 44? 11 Suppose 50*p - 700 = 46*p. Let j = -91 + p. Calculate the greatest common factor of 21 and j. 21 Suppose 0 = -6*p + 45 + 111. Suppose 4*z + 4*b = 62 + p, 4*z - 80 = 4*b. Calculate the greatest common divisor of 21 and z. 21 Suppose 4*u - 3*u = 5*f - 376, u + 151 = 2*f. Let t = f + -37. Let p = 62 + t. Calculate the greatest common divisor of 20 and p. 20 Suppose 4*t + 2 = 10. Suppose 6*s - t*s = 20. Suppose l + l + 2*x = 22, l + s*x - 7 = 0. What is the greatest common factor of 36 and l? 12 Suppose -41*i = -46*i + 5. Let g be (114/3 - 7) + (2 - i). What is the greatest common divisor of 48 and g? 16 Let r be (-8)/((-192)/40)*(-1 - -37). What is the greatest common factor of r and 960? 60 Let q(m) = -m + 16. Let c be q(8). Suppose -k + 5*k - 800 = 0. Suppose -3*d = -c*d + k. Calculate the greatest common divisor of d and 8. 8 Let b be -12*((-309)/54 - 6/(-27)). Let m be (-2)/(4/1)*(-308)/7. What is the highes
{ "pile_set_name": "DM Mathematics" }
tors of 393? 3, 131 What are the prime factors of 3942? 2, 3, 73 What are the prime factors of 26417? 26417 What are the prime factors of 30275? 5, 7, 173 What are the prime factors of 4931? 4931 List the prime factors of 6904. 2, 863 What are the prime factors of 28368? 2, 3, 197 What are the prime factors of 1469? 13, 113 What are the prime factors of 91523? 19, 4817 List the prime factors of 8662. 2, 61, 71 What are the prime factors of 1253? 7, 179 List the prime factors of 40590. 2, 3, 5, 11, 41 List the prime factors of 91032. 2, 3, 3793 List the prime factors of 68. 2, 17 List the prime factors of 8731. 8731 What are the prime factors of 33506? 2, 11, 1523 List the prime factors of 5080. 2, 5, 127 What are the prime factors of 35071? 17, 2063 What are the prime factors of 22245? 3, 5, 1483 What are the prime factors of 418? 2, 11, 19 List the prime factors of 16509. 3, 5503 What are the prime factors of 5605? 5, 19, 59 List the prime factors of 2224. 2, 139 What are the prime factors of 12646? 2, 6323 List the prime factors of 22708. 2, 7, 811 List the prime factors of 162033. 3, 54011 What are the prime factors of 1490? 2, 5, 149 What are the prime factors of 10350? 2, 3, 5, 23 List the prime factors of 567. 3, 7 List the prime factors of 33420. 2, 3, 5, 557 What are the prime factors of 14462? 2, 7, 1033 List the prime factors of 327. 3, 109 What are the prime factors of 8958? 2, 3, 1493 What are the prime factors of 197? 197 What are the prime factors of 68427? 3, 7603 List the prime factors of 3007. 31, 97 List the prime factors of 7911. 3, 293 What are the prime factors of 6106? 2, 43, 71 List the prime factors of 8803. 8803 What are the prime factors of 1813? 7, 37 List the prime factors of 119459. 17, 7027 What are the prime factors of 3009? 3, 17, 59 What are the prime factors of 8916? 2, 3, 743 List the prime factors of 259. 7, 37 What are the prime factors of 2143? 2143 List the prime factors of 10461. 3, 11, 317 List the prime factors of 1158. 2, 3, 193 What are the prime factors of 952? 2, 7, 17 List the prime factors of 1546. 2, 773 List the prime factors of 30827. 29, 1063 What are the prime factors of 6330? 2, 3, 5, 211 What are the prime factors of 1660? 2, 5, 83 What are the prime factors of 69339? 3, 29, 797 What are the prime factors of 37149? 3, 7, 29, 61 List the prime factors of 1774. 2, 887 What are the prime factors of 6289? 19, 331 What are the prime factors of 59846? 2, 23, 1301 List the prime factors of 4698. 2, 3, 29 What are the prime factors of 20145? 3, 5, 17, 79 What are the prime factors of 385? 5, 7, 11 List the prime factors of 1357. 23, 59 List the prime factors of 3425. 5, 137 List the prime factors of 301. 7, 43 What are the prime factors of 5420? 2, 5, 271 List the prime factors of 10558. 2, 5279 What are the prime factors of 3195? 3, 5, 71 List the prime factors of 895. 5, 179 What are the prime factors of 183? 3, 61 What are the prime factors of 735? 3, 5, 7 What are the prime factors of 4653? 3, 11, 47 What are the prime factors of 15532? 2, 11, 353 List the prime factors of 3007. 31, 97 What are the prime factors of 28840? 2, 5, 7, 103 What are the prime factors of 3655? 5, 17, 43 List the prime factors of 75299. 7, 31, 347 What are the prime factors of 25610? 2, 5, 13, 197 What are the prime factors of 7440? 2, 3, 5, 31 What are the prime factors of 2106? 2, 3, 13 What are the prime factors of 562? 2, 281 List the prime factors of 8866. 2, 11, 13, 31 What are the prime factors of 41731? 29, 1439 What are the prime factors of 2104? 2, 263 List the prime factors of 18392. 2, 11, 19 List the prime factors of 6334. 2, 3167 What are the prime factors of 80? 2, 5 What are the prime factors of 47697? 3, 13, 1223 What are the prime factors of 51? 3, 17 What are the prime factors of 4304? 2, 269 List the prime factors of 19271. 7, 2753 List the prime factors of 36. 2, 3 What are the prime factors of 10546? 2, 5273 What are the prime factors of 68092? 2, 29, 587 What are the prime factors of 19969? 19, 1051 List the prime factors of 15813. 3, 7, 251 List the prime factors of 888. 2, 3, 37 List the prime factors of 13278. 2, 3, 2213 List the prime factors of 36435. 3, 5, 7, 347 List the prime factors of 41. 41 What are the prime factors of 23435? 5, 43, 109 What are the prime factors of 4379? 29, 151 List the prime factors of 13125. 3, 5, 7 What are the prime factors of 149? 149 What are the prime factors of 72943? 13, 31, 181 List the prime factors of 1891. 31, 61 What are the prime factors of 688? 2, 43 What are the prime factors of 1194? 2, 3, 199 List the prime factors of 9184. 2, 7, 41 What are the prime factors of 7614? 2, 3, 47 List the prime factors of 44657. 44657 List the prime factors of 620. 2, 5, 31 List the prime factors of 1318. 2, 659 What are the prime factors of 1396? 2, 349 List the prime factors of 8122. 2, 31, 131 What are the prime factors of 50736? 2, 3, 7, 151 List the prime factors of 2342. 2, 1171 List the prime factors of 2513. 7, 359 What are the prime factors of 5021? 5021 List the prime factors of 21049. 7, 31, 97 List the prime factors of 526. 2, 263 List the prime factors of 43401. 3, 17, 23, 37 What are the prime factors of 58805? 5, 19, 619 What are the prime factors of 1846? 2, 13, 71 List the prime factors of 19544. 2, 7, 349 List the prime factors of 42629. 47, 907 List the prime factors of 5535. 3, 5, 41 List the prime factors of 6883. 6883 List the prime factors of 3499. 3499 What are the prime factors of 1340? 2, 5, 67 What are the prime factors of 13559? 7, 13, 149 What are the prime factors of 50095? 5, 43, 233 What are the prime factors of 27146? 2, 7, 277 List the prime factors of 40992. 2, 3, 7, 61 List the prime factors of 1894. 2, 947 What are the prime factors of 3155? 5, 631 What are the prime factors of 30747? 3, 37, 277 List the prime factors of 656. 2, 41 List the prime factors of 102. 2, 3, 17 List the prime factors of 1251. 3, 139 What are the prime factors of 8268? 2, 3, 13, 53 List the prime factors of 772. 2, 193 List the prime factors of 17230. 2, 5, 1723 List the prime factors of 57608. 2, 19, 379 What are the prime factors of 92457? 3, 10273 What are the prime factors of 9063? 3, 19, 53 List the prime factors of 12603. 3, 4201 List the prime factors of 2630. 2, 5, 263 What are the prime factors of 726? 2, 3, 11 List the prime factors of 75997. 75997 List the prime factors of 35583. 3, 29, 409 What are the prime factors of 83814? 2, 3, 61, 229 What are the prime factors of 965? 5, 193 What are the prime factors of 16086? 2, 3, 7, 383 What are the prime factors of 633? 3, 211 List the prime factors of 105638. 2, 13, 17, 239 What are the prime factors of 1027? 13, 79 List the prime factors of 3605. 5, 7, 103 List the prime factors of 22. 2, 11 List the prime factors of 129. 3, 43 What are the prime factors of 1514? 2, 757 What are the prime factors of 470? 2, 5, 47 What are the prime factors of 2532? 2, 3, 211 What are the prime factors of 47603? 181, 263 List the prime factors of 7179. 3, 2393 What are the prime factors of 315? 3, 5, 7 List the prime factors of 43021. 11, 3911 What are the prime factors of 2295? 3, 5, 17 List the prime factors of 1462. 2, 17, 43 List the prime factors of 6639. 3, 2213 List the prime factors of 27340. 2, 5, 1367 What are the prime factors of 13401? 3, 1489 What are the prime factors of 19672? 2, 2459 List the prime factors of 1170. 2, 3, 5, 13 What are the prime factors of 1748? 2, 19, 23 List the prime factors of 120. 2, 3, 5 List the prime factors of 54193. 54193 List the prime factors of 6776. 2, 7, 11 List the prime factors of 1752. 2, 3, 73 List the prime factors of 20820. 2, 3, 5, 347 List the prime factors of 110152. 2, 7, 281 List the prime factors of 4759. 4759 List the prime factors of 4262. 2, 2131 List the prime factors of 1115. 5, 223 What are the prime factors of 820? 2, 5, 41 List the prime factors of 3789. 3, 421 What are the prime factors of 2180? 2, 5, 109 What are the prime factors of 43919? 37, 1187 List the prime factors of 128930. 2, 5, 12893 What are the prime factors of 1719? 3, 191 List the prime factors of 79164. 2, 3, 733 What are the prime factors of 1299? 3, 433 List the prime fact
{ "pile_set_name": "DM Mathematics" }
2 + w + k*b**4 + n*b**3 + g*b and give k. 3 Rearrange h**3 + 3*h**3 - 2*h**3 + (-2*h**2 + 19*h**2 + 9*h**2)*(-7*h + 3*h - 3*h) to the form m*h**2 + n*h**3 + d*h + f and give n. -180 Rearrange (b - b + 3*b)*(-1 - 4 + 6)*(0*b + 0*b - 3*b) to f*b + x*b**2 + d and give x. -9 Express (-1 + 0 - 2)*(2 + 5 - 4)*(1 - 3 + 5)*(5*j**3 - j**3 - 3*j**3 - 2*j) in the form x + h*j + w*j**2 + v*j**3 and give x. 0 Rearrange (0 + 2 - 4)*(-3*d + 4*d + 0*d) - 4 + 4 - d - d + 0 + 0 + d - 2*d - 4*d to the form g + i*d and give g. 0 Express 2*c - 4*c**2 - 3*c**2 + 7*c**2 + 10 - c**3 as k + s*c**3 + g*c**2 + t*c and give t. 2 Rearrange -2*u**3 + 10*u**2 - 12*u**2 + 6*u**3 to the form k*u**3 + o*u + g + f*u**2 and give g. 0 Express 20*l - 95*l - 22*l as m*l + s and give m. -97 Rearrange (3*h - h**2 - 3*h)*(7*h + h - h) to the form u + b*h + w*h**3 + m*h**2 and give w. -7 Express -2 + 40*k**2 - 30*k**2 + 4 in the form m*k + a + v*k**2 and give m. 0 Express (-8 + 8 - f)*(2 - 2 + 2)*(3*f**3 - 5*f**3 - f**3) in the form q*f**2 + g*f + d*f**3 + s + c*f**4 and give g. 0 Express (0*x - x - x)*(-1 - 1 + 4)*(7 + 0 - 4) in the form z + i*x and give i. -12 Express -105*w**2 - 3 - w - 6*w**3 + 105*w**2 in the form x + a*w**3 + f*w**2 + j*w and give j. -1 Express (0 - 2 + 4)*(2*t - 3*t + 6*t)*(0*t + 0*t + 2*t)*(-5 + 1 + 2 - 2 + 1 + 3 + (1 - 3 + 4)*(-5 + 4 + 3) + 1 - 1 + 1) in the form k + r*t + x*t**2 and give x. 100 Express k**2 - 14*k**2 - 5*k**2 + k**2 as c*k + g + f*k**2 and give f. -17 Rearrange -21*l**2 - 22 + 11 + 11 to m*l + v*l**2 + c and give v. -21 Express (0 - i + 0)*(2*i**3 - 4*i**3 + i**3) + (-1 - 2 + 4)*(-i**4 - 1 + 1) - 6 + 6 + 4*i**4 + 3 - 3 + 7*i**4 as a*i**3 + k*i**2 + j + r*i + x*i**4 and give x. 11 Rearrange 22*z + 8 - 8 to the form r + u*z and give u. 22 Rearrange (-2 + 1 + 2 - 1 - 3 + 2 + (1 - 4 + 2)*(0 - 2 + 0) + 2 - 7 + 3 + 0 - 1 - 1 - 1 + 2 + 0)*(-26 + 26 - x) to the form c*x + z and give c. 2 Rearrange 10*f + 89 - 89 to the form u*f + q and give u. 10 Rearrange 0*j**2 - 3 + 5 - 3 + 2*j**2 + 8*j**3 to the form k*j**3 + h*j + w + b*j**2 and give k. 8 Rearrange -2*i - 2*i + 5*i + (-2*i + 3 - 3)*((-6 + 3 + 4)*(-3 + 0 + 2) - 2 + 3 + 1 + 1 + 1 + 12) to x + g*i and give g. -29 Rearrange v + v**3 - 4*v**2 + 0*v**3 + 2*v**2 - 2 to i*v**3 + p*v + u + g*v**2 and give i. 1 Rearrange 0 + 6 + 2*s + 161*s**2 + 3*s**4 - 161*s**2 to the form j*s**3 + a*s**4 + v + w*s + r*s**2 and give v. 6 Express (4*c + 2*c - 5*c)*(-2*c + c - 4*c) + (3 - 3 + 1)*(-c - 3*c + 2*c)*(c - 5*c + 2*c) in the form j*c + s + k*c**2 and give k. -1 Express 3*j**2 + 2*j**3 - 4*j**2 - 6 - 9 as o*j**2 + z + u*j + x*j**3 and give x. 2 Express 0*c - c + 0*c + (3 - 6 + 1)*(0*c + c + 0*c) - 30 - 14*c - 2*c + 33 as n + u*c and give n. 3 Rearrange -6*b - 3*b - 2 + 7*b - 2*b**3 to the form m*b**2 + t*b + p + f*b**3 and give f. -2 Express (y - 5*y + y)*(2 + 3 - 3) + 0*y + 4*y - 2*y as x*y + o and give x. -4 Express (-6 - 33*f + 63*f - 33*f)*(-f - 1 + 1) + f**2 + 2*f**2 - f**2 in the form i + b*f**2 + m*f and give b. 5 Express -161*j**4 + 56*j**4 - 55*j**4 + (-j - 2*j + 2*j)*(3 + 2*j**3 - 3) in the form y + z*j**4 + s*j + l*j**2 + i*j**3 and give z. -162 Express -2*i**3 + 0*i**2 + 2*i**2 + i**3 + 3 + 2*i**3 in the form o*i**2 + u + b*i**3 + a*i and give o. 2 Rearrange -2 + 45*p**3 - 31*p**3 + 3 to y*p**2 + h*p**3 + z + i*p and give z. 1 Rearrange 1 - 1 + 23*x**2 + (-2*x + 4*x - x)*(2 - 2*x - 2) - x**2 + 0*x + 0*x to the form q*x**2 + k + h*x and give q. 20 Express -4*t + t + 22 + t - 103 as o*t + h and give h. -81 Rearrange (-2*y + 0*y + y)*(-5*y - 16*y - 3*y) to the form j + z*y + v*y**2 and give v. 24 Express -38 + 30 + 3*i**2 + 2*i**2 - 4*i**2 in the form y*i**2 + w + n*i and give y. 1 Express (2 - 4 - 13)*(-j + 0*j + 2*j) + 6*j + 0*j - 3*j as r*j + f and give r. -12 Rearrange (1 + 1 - 1)*(102*d + 105*d - 266*d) to the form p + f*d and give f. -59 Express -r + 0*r + 2*r + (12 + 18 - 9)*(-2*r + 4*r + 0*r) in the form z + b*r and give b. 43 Rearrange 19*s + 16*s + 7*s - 31*s to the form b*s + g and give b. 11 Express (0*c**4 + c**4 + 0*c**4)*(40 - 1 + 3) - c**3 + 3*c**4 + c**3 in the form k*c**3 + i*c**4 + r*c + o*c**2 + u and give i. 45 Express 2 + 379*q**3 + q**2 - 378*q**3 + q**2 in the form w + o*q**3 + t*q + v*q**2 and give w. 2 Express (0 - 2*g + 0)*(-13*g + 3*g - 14*g) in the form d*g + n*g**2 + s and give n. 48 Express (0 - 4 + 2)*((1 - 1 - 2*u)*(-2*u + 2*u - 2*u**2) + (-15*u**2 + 5*u**2 + u**2)*(u - 2*u + 0*u)) in the form d*u + c + z*u**3 + g*u**2 and give z. -26 Express (9 - 1 - 2)*(3*t + 4*t - 5*t + (0 + 1 - 3)*(1 - 1 + 3*t)) in the form o*t + h and give o. -24 Express (2 + 3 - 3)*(86 - 86 - 63*s)*(3*s**2 + 0*s**2 - s**2) in the form p*s**2 + x + m*s + h*s**3 and give h. -252 Express (4 - 4 - a)*(-5*a - 3*a - 3*a)*(5 + 1 - 5) as l*a**2 + t*a + h and give l. 11 Express 1016 + 4*n**2 + n - 1016 in the form c + h*n + p*n**2 and give h. 1 Express (0 + 1 + 0)*(52 - 52 - 14*v**3) as t*v + k*v**2 + c*v**3 + n and give k. 0 Express 4*n**2 + 2*n - 2*n**2 - 3*n**2 - 11*n**3 - 3*n**3 as g + u*n**3 + o*n + y*n**2 and give o. 2 Rearrange -16*a + 4 - 4 to g + p*a and give p. -16 Rearrange 16*m**4 + m**3 - 2*m + 2*m**3 - 4*m**3 + 3*m**3 + m**2 to c*m**4 + n + a*m**3 + r*m + q*m**2 and give r. -2 Rearrange 8*m**2 + 0*m + 3*m - 4*m**2 to the form g*m + v*m**2 + t and give g. 3 Rearrange 11*b**4 - 17*b**4 - 46*b**4 + (-5*b**3 - 2*b**3 + 5*b**3)*(3*b - 4*b + 2*b) to a*b**2 + o*b**4 + z*b + m + g*b**3 and give o. -54 Rearrange 5 + 4 - 9 + 5*d to n + y*d and give y. 5 Rearrange -w**3 + 4*w**3 + 2*w**3 + (w + 5*w - 4*w)*(-w**2 - w**2 - 1 + 0*w**2) to j*w + b*w**2 + l + y*w**3 and give y. 1 Rearrange -2 + 0*v**2 - 72*v**3 + 74*v**3 - 2*v**2 to i*v**2 + q*v + s*v**3 + w and give i. -2 Express (-2 + 1 + 0)*(2*p - 1 + 1) + 646 - 646 + 84*p in the form h + c*p and give c. 82 Rearrange (8*y - 9*y + 14*y)*(2 - 5 + 1) to the form w*y + q and give w. -26 Rearrange -2*q**2 + q**3 - 4*q - 1 - 10*q**4 + 5*q - 14*q**4 - 1 to the form b*q**3 + p*q + u + o*q**2 + f*q**4 and give f. -24 Rearrange -a**3 + 6*a**3 - 3*a**3 - 2 + (a + 0 + 0)*(4*a - 4*a + 4*a**2) + 3*a**3 - 3*a**3 + 3*a**3 to the form s*a**2 + q*a + h + f*a**3 and give h. -2 Rearrange (4 + 1 - 6)*((-9 + 1 - 7)*(-5*o + 3*o + 0*o) + 3*o - 3*o - 2*o + (o - 2*o + 4*o)*(-2 + 0 + 0)) to u*o + p and give u. -22 Rearrange 9*x + 4*x**2 - x**3 - 3*x - 2*x**2 - x to t + i*x**2 + z*x**3 + n*x and give i. 2 Rearrange 277*x - 528*x + 281*x to h + r*x and give r. 30 Express -2*r - 29*r - r in the form h + x*r and give x. -32 Express (-4 + 9 - 7)*(0 - 2 - 1)*(0 + 2 + b + b) in the form l*b + w and give l. 12 Rearrange (-3*h + 4*h - 2*h)*(15 + 3 + 6)*(h - h + 2*h) to k*h**2 + n*h + s and give k. -48 Rearrange 5 - 4*n**2 + 3*n**2 + 14*n**3 - n + 19*n**3 - 34*n**3 to the form r*n**3 + p*n + f*n**2 + o and give p. -1 Rearrange (-3 + 2 + 2)*(-1 + 2 - 2)*(-13*b - 4*b - 15*b) to the form q*b + i and give q. 32 Express -2 - 2*c**4 + 3*c - 8*c**2 + 8*c**2 + c in the form i + p*c + f*c**4 + x*c**3 + d*c**2 and give f. -2 Express 116*h**2 + 2*h**3 - 61*h**2 - 58*h**2 - 2*h**4 - h in the form b + k*h + q*h**2 + u*h**3 + i*h**4 and give q. -3 Express (-6*l - 13 + 13)*(-l**3 - 2*l + 2*l) as z*l**2 + g*l**4 + m + c*l**3 + y*l and give g. 6 Express n**4 - n**2 - 2*n**4 + n + 2*n**4 in the form o*n + t + m*n**2 + x*n**3 + h*n**4 and give m. -1 Express (3 - 3 + 5)*(0 + 0 - 2)*(0*b + b - 1 - 4*b - 2*b + b + 2*b + 4*b - 3*b - 2*b - 4 + b + 4 + (3 - 5 + 0)*(4*b + 3*b - 5*b)) as d + y*b and give d. 10 Rearrange 7*l + 3*l**3 - 2*l**3 + 1 - l**4 - 8*l to the form x*l + z*l**2 + m + f*l**3 + j*l**4 and give j. -1 Express (2*o**2 - 2*o**2 + o**2)*(o - 3*o + 4*o) - 209 + 209 + 60*o**3 as j*o + s + u*o**3 + c*o**2 and give u. 62 Express 500 + 3*b - 500 - 3*b - b + 0*b + (2 + 0 - 1)*(1 - 1 - 2*b) in the form t*b + x and give t. -3 Express 383 - 192 - 43*l - 189 + (l - 2*l + 3*l)*(-3 - 1 + 5) in the form d*l + p and give p. 2 Rearrange ((c**3 - 2*c**3 + 3*c**3)*(2*c + c - 5*c) + 0*c + 0*c + 2*c**4)*(-3 + 3 - 2)*(0 - 3 + 5) to t + i*c + x*c**2 + k*c**4 + l*c**3 and give k. 8 Rearrange -102*l**3 - 48*l**2 - 40*l**2 + 89*l**2 to the form w*l**3 + g*l**2 + h + u*l and give g. 1 Express -m**2 - 3*m - 8*m**3 + 11*m**3 +
{ "pile_set_name": "DM Mathematics" }
True Suppose -y + 21 = -4*y. Suppose 5*j = 3*c - 41, 5*j + 2*c + 29 + 2 = 0. Is y at most j? True Suppose -3*b - 1 - 2 = 0. Let c be (2 - 8/3)*18/(-12). Are c and b equal? False Let v = -3.6 - -0.6. Is -0.13 at most v? False Let t(p) = 10*p**2. Let b be t(-1). Let x be 8/20 - (-86)/10. Which is smaller: x or b? x Let p(g) = g - 4. Suppose 2*d - 3*w - 1 = 0, -6*w = d - 2*w - 17. Let h be p(d). Let l be (2 + 0)/(-2) - -1. Which is smaller: l or h? l Suppose c + 4*r - 15 = -0*r, -4*c - 2*r = -4. Let g(z) = 2*z**3 + z**2. Let t be g(c). Which is smaller: 1 or t? t Let u = -1.41 - 0.19. Let c = -0.6 - u. Is 16 not equal to c? True Suppose 75 = 4*p - 189. Is 67 at most as big as p? False Let c = -9153/1268 - 10/317. Is c <= -8? False Let r = -0.07 - -0.37. Let p = 66 + -66. Which is smaller: p or r? p Suppose p = 4 - 2. Suppose -3*r - 3*c - 10 = -5*c, 2*r = 3*c - 15. Are p and r non-equal? True Let w be 1313/39 + (-2)/(-6). Is w greater than or equal to 0.1? True Suppose -5 + 3 = -b. Is b greater than or equal to 3? False Let k = 0.15 - 0.15. Are k and -11/6 nonequal? True Suppose 0 = 5*m + z - 41, -3*m + 35 = -z - z. Let u = m + -10. Is u greater than -2? True Suppose -x + 1 = -3*x - 3*l, -2*l = 2*x + 2. Do x and -3 have the same value? False Suppose q + 6 = 5*s - 4, -4*q = 3*s - 6. Suppose 3*j + 3*d = -0*j + 21, 3*d + 4 = s*j. Are 7 and j equal? False Let r = 1247/35 + -249/7. Which is smaller: r or 0? 0 Suppose -p = 4 - 1. Let t = p + 5. Is t bigger than 2? False Let g = 0.2 + -0.24. Let b = g - -0.34. Let f be 65/(-78) - (-1)/(-6). Which is smaller: f or b? f Let b = 0.2 - 0. Let w = -1.1 - -0.5. Let o = -0.5 - w. Is b less than o? False Let n = 57 + -173/3. Let v = -106 - -106.18. Is v bigger than n? True Let f(u) = -u**3 + 19*u**2 + 1. Let c be f(19). Is c less than or equal to -1? False Let u be (-2 + (-56)/(-30))/(2/(-6)). Which is smaller: 0 or u? 0 Let x = -13 + 19. Which is smaller: 3 or x? 3 Suppose -4*o - 9 = 3*w, 5*w + 2*o = 6*o - 15. Let j be 0/((3 + -5)/(-1)). Suppose x = -j*x - 4. Does x = w? False Suppose -2*f + 0 = -2. Which is bigger: 3/10 or f? f Let a(w) = -w**3 + 23*w**2 - 21*w - 4. Let b be a(22). Is 19 at most b? False Let w = 47 + -103/2. Let x = 733 + -739. Which is smaller: x or w? x Suppose 4*l + 2 = 10. Let x be (-19 - -1)*1/l. Let s be (-1)/x*3 + -1. Does -2 = s? False Let v(m) = -m**3 - m**2 + m. Let b be v(0). Let h be b*((-2)/(-4) - 0). Which is bigger: -1 or h? h Let f = 0.259 - 5.189. Let g = -0.07 + f. Suppose -9*q + 4*q = 6*q. Is q greater than g? True Let z = -27 + 27.3. Which is smaller: z or -1.3? -1.3 Let m be (-1)/((-1)/2) - 7. Let n(u) = -u - 5. Let a be n(m). Which is smaller: -0.1 or a? -0.1 Let t be 2 + (-1 - -1) + -1. Let k = 2 + t. Let m be ((-2)/(-6))/(1/k). Which is greater: m or -2/13? m Suppose 3 = -2*y + 5. Let a be ((-6)/3)/(-2) - y. Suppose -3*u - 2 = g - 2*g, -3*u + 2*g - 1 = 0. Which is smaller: a or u? u Let s = -11 + 26. Let w = s - 30. Let y be (-36)/(-10) - w/(-25). Is y < 3? False Suppose m + 2 = 3. Let b be m/(-2)*2 + 1. Is -1/2 < b? True Let r be (15/(-6)*-1 + -2)*-1. Is r bigger than -0.05? False Let t(a) = a**2 - 4*a + 3. Let d be t(3). Which is bigger: d or 1/9? 1/9 Let u be (4/(-72))/(2/8). Let m(g) = g**3 + 2*g**2 - g - 2. Suppose y + 2*y + 6 = 0. Let i be m(y). Is i >= u? True Let o = 0.5 + -0.7. Let g = -0.6 - o. Let m = 0.6 + g. Which is smaller: m or -1? -1 Suppose 10*s - 50 = -10. Let o = 6 + -2. Let i be 2/3*18/o. Which is greater: i or s? s Suppose 4*d = -60 + 88. Is 2 <= d? True Let o be (-10)/(-6) + 1*-2. Let z be -1 - (0 + 18/(-15)). Which is smaller: o or z? o Let i be (-20)/15*(-3 + 0). Is 0 at most as big as i? True Let j be ((-4)/553)/(((-150)/(-35))/(-5)). Is j <= -1? False Suppose 0 = 2*w + 3*u + 14, -3*u + 2*u = 3*w + 7. Suppose 0 = -0*b - b - 3. Which is greater: b or w? w Suppose 18 = 2*l - 3*j - j, 4 = -j. Is l at most as big as -12? False Suppose -3*g + 747 + 116 = -5*w, 0 = 3*w + 3*g + 537. Let c be ((-2)/10)/(21/w). Is -0.1 greater than c? False Let g be -1 + 0 + (-7)/(-6). Let y(t) = -t**2 + t - 1. Let u(j) = -5*j**2 - 5*j + 7. Let o(n) = -u(n) + 4*y(n). Let b be o(-10). Is g at least b? True Let n(p) = p - 9. Let b be n(-11). Do b and -20 have the same value? True Let a be ((-8)/4)/(-3 - (-62)/22). Which is bigger: a or 0.2? a Suppose 0*r = -r + 4. Suppose -2*s - r*n - 11 = 5, 2*s - 5*n - 11 = 0. Which is smaller: -4 or s? -4 Suppose -2*z = -2*q - 2, -5*q + 4*z = 1 + 2. Which is smaller: -1/4 or q? -1/4 Let g = -527 - -3679/7. Which is smaller: -1 or g? g Let a = -8/39 + 575/2613. Is -1 < a? True Let d = 37337/2766 - -2/1383. Suppose 0 = 4*q - 12, l + 3*q + 5 = -0*l. Let y = d + l. Which is bigger: -1 or y? y Let h = 141 - 707/5. Let g = -0.21 + -10.79. Is g greater than or equal to h? False Let r = -142 - -149.1. Let n = r - 7. Is n less than 2/11? True Let x be (-2)/6 - 120/18. Let n be 6*(28/64)/x. Which is greater: n or -1? n Let l = 6 + -4. Let s = l + -5. Do s and -4 have the same value? False Let h = 24/17 + -271/204. Is 0.2 < h? False Let g(k) = 2*k + 23. Let v be g(-13). Which is bigger: v or -8? v Let w = -283/1395 + -3/155. Suppose -4*s + 0*s = -4*q - 20, 0 = 5*s - 4*q - 20. Suppose -5*t + 9*t - 4 = s. Which is smaller: t or w? w Let y = -6 - -5. Let u be y/(-4)*16/28. Suppose -4*a + 3*o = -2*a + 8, 5*o - 10 = 0. Do u and a have the same value? False Suppose -25 = -5*v, 7*a + 3*v = 2*a. Let s = -2 - a. Which is bigger: s or 2? 2 Let r(x) = 7*x + 5. Let o(p) = -p - 1. Let k(y) = 6*o(y) + r(y). Let f be k(-1). Is -1 greater than f? True Suppose -4*i - 120 = -9*i. Let m be ((-60)/1744)/((-9)/i). Let h = m + -468/2725. Is -1 less than or equal to h? True Let o = -19 - -30. Let v = -4 + o. Which is smaller: v or 8? v Let f(j) = 135*j - 1. Let h be f(1). Let u = -81/85 + 11522/85. Let o = u - h. Is o > 2? False Let m = -331/8 + 41. Is m at most as big as 0? True Let r = -28 + 22. Let x(s) = -s**3 - 5*s**2 + 6*s - 7. Let w be x(-6). Which is greater: w or r? r Let k(s) = s**2 + 6*s + 1. Let v be k(-6). Let g be 9/2*(-54)/(-81). Which is bigger: v or g? g Let v be 27 + -1 - (-6 + 10). Is 22 > v? False Suppose 3 = -8*q + 7*q. Is -5 greater than q? False Suppose -4*f - f = -5*h + 15, 0 = 2*h + f - 3. Suppose -3*l = h*l. Let a be 2*(1/(-2) - l). Is -1 bigger than a? False Let w(f) = 3*f - 8. Let j be w(12). Let v = -79/3 + j. Are v and 3 non-equal? True Let s = 2 - 2.3. Let q = 0.4 - s. Let c = -418.1 + 418. Is q smaller than c? False Let j = -1 + 5. Let q = j - 0. Let x(o) = o**2 + 3*o + 7. Let w be x(-2). Which is smaller: w or q? q Let f(y) = 4*y - 5. Let q be f(5). Suppose -m - 2*m = q. Suppose -2*j = -2*g - 16, g + 5*j = 3*j + 4. Which is bigger: g or m? g Let l be 0 + 1 - 0 - -2. Suppose -8 = -4*f + 5*t + 11, -2*f + l*t + 11 = 0. Which is smaller: 3/8 or f? 3/8 Suppose -2*q - 21 = q. Let w(r) = -r**2 - 8*r - 6. Let l be w(q). Which is greater: l or -1/4? l Let d(j) = -j**3 - 4*j**2 + 5*j + 5. Let b be d(-6). Let v = -140/3 + b. Which is smaller: v or 5? v Let g = -28 - -19. Is -10 at least as big as g? False Let j = 27 - 18. Suppose -2*o + 3 = j. Let s be 8/(-36) + 50/(-18). Is o != s? False Let g = -80.1 - -82. Are 1 and g unequal? True Let w = -7 - -6. Suppose 5*c + 3*i = 24, 0*c = -c - 2*i + 9. Suppose 2*d + p - 1 = -0*d, -3*p + c = 4*d. Which is smaller: w or d? w Let f = 2 - 2.2. Let c = 0.24 - 0.14. Which is smaller: c or f? f Let y(f) = f**3 - 8*f**2 + 5*f + 6. Let n be y(7). Let z be (-6)/n - 58/56. Which is bigger: z or 1? 1 Let f(g) = -g**2 + 5*g. Let z be f(4). Suppose 0 = m + m - z. Are 3 and m nonequal? True Suppose -22*m = -24*m - 32. Let f = m + 15. Is -7/9 greater than or equal to f? True Let c = 0.05 + 0.15. Let p = -0.4 + c. Which is smaller: -2/3 or p? -2/3 Let h be 0/((-3)/((-9)/(-6))). Suppose 4*y - y + 15 = h. Let a be (-125)/40*2/y. Is a greater than 1? True Let b = 297/5 + -60. Which is smaller: -6 or b? -6 Let s(j) = -j**3 - j**2 + j + 3. Let z be s(0). Let c be (z/9)/(2/36). Is c at most 6? True Suppose -4 = 4*n + 4. Let j be n/(-8) + 18/(-8). Let w = 5 + j. Is w at most 2? False Let z = -39.95 - -42. Let n = -2 + z. Are n and -1/2 unequal? True Let f(a) = -2*a**2 + 10*a - 8. Let x be f(6). Let g = -8 - x. Let n be (6/(
{ "pile_set_name": "DM Mathematics" }
. 4 Solve -51*g - 147 - 108 = 0 for g. -5 Solve -10 = -30*z + 110 for z. 4 Solve u = -13*u + 98 for u. 7 Solve -127*q - 2 = -126*q for q. -2 Solve 116 = -23*l + 70 for l. -2 Solve -160*g = -8 - 312 for g. 2 Solve 2534*l = 2526*l + 8 for l. 1 Solve -15 = 7*a - 2*a for a. -3 Solve 190*b + 20 = 200*b for b. 2 Solve 148 = 23*n + 332 for n. -8 Solve 6 = 23*d - 20*d for d. 2 Solve -26*v + 13*v + 91 = 0 for v. 7 Solve -16*v = -6*v - 10 for v. 1 Solve 75 = -26*l + 75 for l. 0 Solve 12*d + 24 = -36 for d. -5 Solve -443 + 453 = 2*d for d. 5 Solve -38*s = -15 - 23 for s. 1 Solve -20*d + 22*d + 10 = 0 for d. -5 Solve 123*h + 141 - 264 = 0 for h. 1 Solve 13*b = 29*b + 32 for b. -2 Solve -52*c + 50*c - 8 = 0 for c. -4 Solve 19*i = 1 + 113 for i. 6 Solve -148*l - 27 = -157*l for l. 3 Solve -15*n - 98 + 23 = 0 for n. -5 Solve 0 = 10*a + 12 + 18 for a. -3 Solve 102 - 87 = 5*u for u. 3 Solve 25*k = 127 - 277 for k. -6 Solve 0 = 8*s - 6*s + 8 for s. -4 Solve -39 + 75 = 12*p for p. 3 Solve 9*t + 10 - 1 = 0 for t. -1 Solve 9 = -7*q + 37 for q. 4 Solve -245*i + 247*i = -2 for i. -1 Solve -69 = -5*f - 84 for f. -3 Solve 24 + 16 = 8*r for r. 5 Solve 40*p - 3 - 277 = 0 for p. 7 Solve -258*r + 243*r - 75 = 0 for r. -5 Solve 0 = 3*n + 2*n + 5 for n. -1 Solve -35*p + 4 = 109 for p. -3 Solve -192*y + 238*y = 138 for y. 3 Solve 21 = -16*x + 5 for x. -1 Solve 42*a - 63 = 33*a for a. 7 Solve -84 = -36*c - 264 for c. -5 Solve -53 + 65 = -6*l for l. -2 Solve -39*v - 29 = 49 for v. -2 Solve 41 - 21 = 4*q for q. 5 Solve 30 = 376*o - 382*o for o. -5 Solve 45*h + 190 = -35 for h. -5 Solve -p - 5*p + 18 = 0 for p. 3 Solve -12*x - 84 = -24 for x. -5 Solve 0 = -8778*k + 8774*k + 8 for k. 2 Solve -75*y = -79*y + 4 for y. 1 Solve 56*n = 63*n + 28 for n. -4 Solve 8*b + 104 = -18*b for b. -4 Solve -682 + 662 = -10*t for t. 2 Solve -23 = 59*t + 449 for t. -8 Solve 7*o = 10*o + 15 for o. -5 Solve 2*n - 21*n - 57 = 0 for n. -3 Solve 5*s = -8 - 17 for s. -5 Solve -61*d + 440 = 74 for d. 6 Solve 82*n = 65*n + 51 for n. 3 Solve 3*u - 86 + 92 = 0 for u. -2 Solve 141*d = 130*d + 55 for d. 5 Solve 8 = 37*h - 29 for h. 1 Solve 0 = 82*o - 88*o for o. 0 Solve -1459 = -5*h - 1484 for h. -5 Solve 80 = 48*y - 58*y for y. -8 Solve -o + 1 = 4 for o. -3 Solve 77*m + 505 = 120 for m. -5 Solve 24 = -6*w + 12 for w. -2 Solve 25*z + 14 - 64 = 0 for z. 2 Solve -19*k + 710 = 862 for k. -8 Solve 4*z = 19*z - 30 for z. 2 Solve 113*n = -1534 + 517 for n. -9 Solve 0 = -3*g + 4*g - 4 for g. 4 Solve -49*i + 125*i = -152 for i. -2 Solve 191 = -64*w - 1 for w. -3 Solve -42*a + 96 = -18*a for a. 4 Solve -29*t = -30*t - 5 for t. -5 Solve 66*o + 175 + 419 = 0 for o. -9 Solve 30*w = 27*w - 6 for w. -2 Solve 11 = 5*u - 14 for u. 5 Solve 0 = 19*l - 14*l for l. 0 Solve -3*i + 9 = 24 for i. -5 Solve 0 = -q + 10*q + 18 for q. -2 Solve 384 = -61*n - 3*n for n. -6 Solve -n + 10 = 5 for n. 5 Solve -13*c = 29*c + 210 for c. -5 Solve 0*a - 12 = 3*a for a. -4 Solve 11*c - 403 = -315 for c. 8 Solve 7*r = -3*r - 50 for r. -5 Solve -120*z = -79*z - 328 for z. 8 Solve -15*m = -50*m - 175 for m. -5 Solve 94*v = 93*v for v. 0 Solve 32*u = 60*u - 140 for u. 5 Solve 68*w - 32*w = -324 for w. -9 Solve -k + 10676 = 10665 for k. 11 Solve -7*s + 2 = -5 for s. 1 Solve 11*b + 37 - 4 = 0 for b. -3 Solve -4*u = u + 8*u for u. 0 Solve 0 = 41*w + 65*w + 636 for w. -6 Solve -2*h - 19 = -11 for h. -4 Solve 13*r + 4 - 30 = 0 for r. 2 Solve -11*u - 428 = -362 for u. -6 Solve 11 = 9*v + 29 for v. -2 Solve -128*o - 72 = -110*o for o. -4 Solve -66 = 117*s - 128*s for s. 6 Solve -6*c + 0 = -18 for c. 3 Solve 0 = -37*m + 38*m - 3 for m. 3 Solve 236*f - 248*f = -24 for f. 2 Solve -4*v = 17 - 21 for v. 1 Solve -3*q = 11*q - 70 for q. 5 Solve 6*r - 15 = r for r. 3 Solve -156*f + 32 = -140*f for f. 2 Solve 6*j + 21 = -3 for j. -4 Solve -16*q = -18*q - 4 for q. -2 Solve 42*w - 43*w = -4 for w. 4 Solve -3*k + 360 - 375 = 0 for k. -5 Solve 5*i + 20 + 5 = 0 for i. -5 Solve 93 = 3*g + 108 for g. -5 Solve 10 = 4*x + 10 for x. 0 Solve 0 = -13*p - 9*p + 32*p for p. 0 Solve 16*g - 2*g = g for g. 0 Solve -6 - 11 = 17*p for p. -1 Solve -17 - 11 = -28*s for s. 1 Solve -17*b - 3 = 99 for b. -6 Solve 0 = -36*p + 30 - 210 for p. -5 Solve 0 = -8*q - 1927 + 1943 for q. 2 Solve 6*p - 21 = -p for p. 3 Solve -48 = 3*g + 13*g for g. -3 Solve -440 = 40*r - 95*r for r. 8 Solve 0 = 5*m - 105 + 100 for m. 1 Solve -49*m + 55*m + 6 = 0 for m. -1 Solve 14*v - 2*v + 27*v = 0 for v. 0 Solve 245 = 9*d - 44*d for d. -7 Solve 46*o - 13*o = -165 for o. -5 Solve 0 = 2*x + 14 - 18 for x. 2 Solve -6*a = -118 + 88 for a. 5 Solve -62*u + 54*u = 0 for u. 0 Solve -3*r + 15 = -0*r for r. 5 Solve 0 = -35*p + 27*p + 24 for p. 3 Solve 0 = -10*m + 20*m - 20 for m. 2 Solve -7 = o - 7 for o. 0 Solve 0 = -6*l - 1357 + 1375 for l. 3 Solve -121*a = -130*a + 45 for a. 5 Solve -196*c = -172*c - 144 for c. 6 Solve 0 = -4*x + 3 + 1 for x. 1 Solve 22 = -4*r + 26 for r. 1 Solve -126*h + 122*h = 8 for h. -2 Solve -34 = -10*r - 64 for r. -3 Solve -2*f = -20*f - 126 for f. -7 Solve 12*g - 75 = -27 for g. 4 Solve -66 = 26*k - 222 for k. 6 Solve -91 - 284 = -75*v for v. 5 Solve 0 = 6*t + 4*t + 20 for t. -2 Solve -4 = -d + 5*d for d. -1 Solve 91 = 2*z + 89 for z. 1 Solve -36 = -6*y - 24 for y. 2 Solve -42*u + 37*u - 25 = 0 for u. -5 Solve -9*v + 6*v + 12 = 0 for v. 4 Solve -11*v = 2 + 20 for v. -2 Solve -6*c + c + 15 = 0 for c. 3 Solve 0*d + 15*d = -5*d for d. 0 Solve 77*t - 36 = 95*t for t. -2 Solve 2*t - 3 = -13 for t. -5 Solve 2*h - h = -h for h. 0 Solve -32 = 11*v - 3*v for v. -4 Solve -5*c = -2*c for c. 0 Solve 82*s = 23*s - 177 for s. -3 Solve -65 + 95 = 6*s for s. 5 Solve -17*n + 43 = -42 for n. 5 Solve -219 + 223 = -4*l for l. -1 Solve -20*l + 3 = -77 for l. 4 Solve -30*k + 0*k + 2*k = 0 for k. 0 Solve 0 = -3*u + 10*u - 11*u for u. 0 Solve -57 = 9*g - 66 for g. 1 Solve 3*n + 90*n + 279 = 0 for n. -3 Solve 38*u - 177 = -519 for u. -9 Solve -6*y - 21 = -13*y for y. 3 Solve 2*c = -2*c + c for c. 0 Solve -3*k = -4*k - 6*k for k. 0 Solve -40*c = 199 + 81 for c. -7 Solve 12*i + 15 = 7*i for i. -3 Solve -18 = -19*t + 1 for t. 1 Solve 3*m = -19 + 10 for m. -3 Solve 0 = m - 0 + 5 for m. -5 Solve -2*b + 4*b - 10 = 0 for b. 5 Solve -6*p - 34*p = 40 for p. -1 Solve -7 - 44 = 17*l for l. -3 Solve 612*m = 621*m - 18 for m. 2 Solve -5*l = -0*l - 10 for l. 2 Solve 43*f - 39*f = -20 for f. -5 Solve -7*q = -18 - 3 for q. 3 Solve 4*x = 5*x - 1 for x. 1 Solve 39*j = 38*j for j. 0 Solve 19*x = 11*x + 12*x for x. 0 Solve 509*f - 503*f - 36 = 0 for f. 6 Solve 6*s = -s - 42 for s. -6 Solve -2*v + 1 - 1 = 0 for v. 0 Solve -44*x - 15 = -49*x for x. 3 Solve w = -11 + 7 for w. -4 Solve 0 = -10*u - 7*u for u. 0 Solve -49*k - 13 = -36*k for k. -1 Solve 66 + 3 = 23*y for y. 3 Solve -55*a = -61*a - 36 for a. -6 Solve -5*i = 8 - 3 for i. -1 Solve -9*s = 9*s + 54 for s. -3 Solve 1231 = 4*u + 1255 for u. -6 Solve 6*n + 896 = 842 for n. -9 Solve 9*a + 3 = 10*a for a. 3 Solve -6*j = -5 - 1 for j. 1 Solve 17*y = -39 - 80 for y. -7 Solve -212*x + 189*x = 23 for x. -1 Solve 460*p - 463*p = 6 for p. -2 Solve -49 = 8*k - 73 for k. 3 Solve -37*r + 156 = 8 for r. 4 Solve -6 = -c - 2 for c. 4 Solve 0 = -d - 198 + 196 for d. -2 Solve 4*z - 27 = -11 for z. 4 Solve -83*b = -91*b + 40 for b. 5 Solve -4*o + 11 - 35 = 0 for o. -6 Solve 0 = -v + 7 - 10 for v. -3 Solve -42*b + 123*b + 729 = 0 for b. -9 Solve 0 = -29*f + 8*f - 42 for f. -2 Solve 83*c - 80*c = -6 for c. -2 Solve -16*g + 12*g = -12 for g. 3 Solve 12*p + 2 = 14*p for p. 1 Solve 57*w - 261 = 195 for w. 8 Solve -154 = -16*x - 106 for x. 3 Solve 0 = 330*a - 323*a for a. 0 Solve 0 = -u - 1650 + 1648 for u. -2 Solve -30*t + 22*t = -16 for t. 2 Solve 60*l + 6*l = 660 for l. 10 Solve -126*g + 20 = -131*g for g. -4 Solve 6*p - 1 = -19 for p. -3 Solve 31 = 19*s + 50 for s. -1 Solve -30*k - 2*k = 0 for k. 0 Solve -66*m + 180 = -96*m for m. -6 Solve 54*b + 513 - 27 = 0 for b. -9 Solve -70*j - 48 = -76*j for j. 8 Solve 0 = 5*r - 20*r + 30 for r. 2 Solve 37*h + 110 = -38 for h. -4 Solve -397 + 373 = -6*a for a. 4 Solve -14*q = 75*q + 356 for q. -4 Solve -10*q + 36 = 26 for q. 1 Solve -5 - 43 = -8*p for p. 6 Solve -66*b = -59*b - 35 for b. 5 Solve 84*p + 839 - 335 = 0 for p. -6 Solve 0 = -10*c - 2128 + 2048 for c. -
{ "pile_set_name": "DM Mathematics" }
Which is the fourth biggest value? (a) 2/7443 (b) -1/5 (c) -2 (d) 12 (e) 4 (f) 1 a What is the fifth smallest value in 0.3, -1/6, -0.1, 0.1, 0.4, 21? 0.4 What is the sixth smallest value in -25, 0.6, 1/4, -0.4, 3, 123? 123 Which is the fourth biggest value? (a) -3 (b) 0.2 (c) 0.7621 (d) 1.3 a What is the smallest value in 190, -3, 0.31? -3 What is the second smallest value in 6, 34, -2, -3, 4? -2 Which is the biggest value? (a) 2 (b) -1/37 (c) -18 (d) 0.02 (e) 0.2 a Which is the biggest value? (a) -9/137 (b) -0.49 (c) 0 c Which is the second biggest value? (a) 10/9 (b) -28 (c) 0.24 (d) 0.2 (e) 0 c What is the sixth biggest value in 0, 41, 4, -1/4, 3, 2/5? -1/4 What is the second smallest value in -8, 280.05, 1/7, -1/10? -1/10 Which is the biggest value? (a) 2/3 (b) 3 (c) 0.48 (d) 4 (e) 19/5 (f) 0.2 d Which is the smallest value? (a) 4 (b) 0 (c) 76 (d) 0.2 (e) -3 (f) -0.3 e Which is the second biggest value? (a) 83 (b) 299 (c) -3/2 a What is the second smallest value in -5, 2, 433.8, -7, -3/2? -5 Which is the smallest value? (a) 0.05 (b) 0.05661 (c) -3 c What is the fifth biggest value in 2/13, 1/3, -0.3, 1, 9, 11? 2/13 Which is the second smallest value? (a) -0.1 (b) -1317.6 (c) 2/15 a Which is the third smallest value? (a) 70 (b) -4 (c) 55 (d) 3 (e) 4 e Which is the third biggest value? (a) -1 (b) 2 (c) -43491 c What is the third biggest value in -11462, -4, 3? -11462 What is the fourth smallest value in 3/7, 0.4, -1585, -5, 7? 3/7 What is the biggest value in -1/6, 55, -40, 3? 55 Which is the third biggest value? (a) 6 (b) 39 (c) -6/13 c What is the fourth biggest value in 1, 4, 5, -1415? -1415 Which is the fourth smallest value? (a) 25 (b) 2 (c) -14 (d) 0.07 (e) -1/6 b What is the third smallest value in 684, 48, 1, -5, -0.5? 1 What is the third smallest value in -2/7, -3/467, 140/9? 140/9 Which is the smallest value? (a) -3 (b) 0 (c) 6/7523 (d) -2 (e) 4 (f) 1/2 a What is the biggest value in -0.4, 9, 7, 0.026, -0.5? 9 Which is the fifth biggest value? (a) -0.2 (b) -37 (c) -1/3 (d) 0.5 (e) 2 b What is the second smallest value in -1, 0.1, 143587, 3/2, -0.4? -0.4 What is the third biggest value in -0.3, -8, -111.8, 4/7, 1/2? -0.3 Which is the second biggest value? (a) -2/23 (b) 0.01 (c) -0.119 a What is the biggest value in 0.06, -11, -195/2? 0.06 What is the second smallest value in -1, -1/277, -23/4? -1 Which is the second biggest value? (a) -3 (b) -17827.9 (c) 0.2 a What is the second smallest value in 103303/4, -5, 0.2? 0.2 Which is the biggest value? (a) 2 (b) 3 (c) -0.144264 b Which is the biggest value? (a) 457 (b) -108 (c) 2/11 a What is the third biggest value in 0, 5, -6/227? -6/227 Which is the third smallest value? (a) 9 (b) -41 (c) -2/7 (d) 2/11 d What is the fourth biggest value in 5, -5/12, 3, 1/4? -5/12 What is the second smallest value in -1/3, 0.6, -1.9? -1/3 What is the smallest value in 0, 0.2, -16, -388? -388 What is the second biggest value in -1, -3, -0.25, 3, 3/4? 3/4 Which is the third smallest value? (a) 49.4293 (b) 1 (c) -0.4 a What is the biggest value in 4/7, -1/8, 10/899? 4/7 What is the sixth biggest value in 7/3, -4, -1/4, 0, 1, 19? -4 What is the fourth smallest value in -0.09, -0.5, -1, -2/5, 47? -0.09 What is the second smallest value in -0.5, -0.4, 1, 32, -0.21? -0.4 Which is the third biggest value? (a) -0.2 (b) 2/347 (c) 3/5 (d) -12 (e) 304 b Which is the fourth biggest value? (a) 0.582 (b) -2 (c) -3/4 (d) 2/7 b What is the third biggest value in -34, 1/10, -29, 19? -29 What is the third biggest value in 30, 5, 6/5, -1/5, 1, 2? 2 What is the second biggest value in 3/5, -7/3103, -1/4? -7/3103 What is the third smallest value in 2/9, 1.3, 0.045, -1, -0.3, 0.3? 0.045 Which is the biggest value? (a) -3/2 (b) 4 (c) 0.1 (d) -1/5 (e) -2.7095 b Which is the fifth biggest value? (a) 3 (b) 6 (c) -1/2 (d) -0.7 (e) 17 d What is the third biggest value in 25, 3, -8.6, 0.5? 0.5 What is the second smallest value in -1, -10.9, 3, 2/7, 0.04? -1 Which is the second biggest value? (a) 5 (b) -357 (c) 4/7 (d) 1/5 (e) 3 e What is the second biggest value in -207, -0.01, 1? -0.01 Which is the fifth smallest value? (a) 2/7 (b) -6.6 (c) -5/7 (d) 1 (e) 5 (f) 29 e Which is the third smallest value? (a) 0 (b) -20979 (c) -2/3 a Which is the biggest value? (a) 0.3 (b) 0.4 (c) 1480 (d) 4/3 (e) 23 (f) -5 c What is the second smallest value in 133, 2/5, -1/32, -5, -2/7, -0.4? -0.4 What is the second smallest value in 2, 1/5, -5, 2/15, 389, -1/5? -1/5 Which is the third biggest value? (a) 3 (b) -0.05 (c) -3/22303 (d) 4/3 (e) -1/10 c What is the third biggest value in -10/73, -4, -5, -46? -5 What is the smallest value in -2263, 3, -23? -2263 Which is the fourth smallest value? (a) -1979 (b) 0.1 (c) -5 (d) 4 (e) -5/6 (f) -7 e What is the fourth smallest value in 1/5, -8, 5.6, 0.5, -1/7? 0.5 What is the third smallest value in -18, 3, -26/11, 0.07, -0.4? -0.4 What is the second biggest value in -1/2, -0.8, 0.2, -360? -1/2 What is the second smallest value in 0.5, -0.5, 7.55, 3/2? 0.5 What is the third biggest value in 0, 20/3, 8, 4/5, 5? 5 What is the second biggest value in 61.6, -7, -0.4, 4? 4 Which is the third smallest value? (a) 4 (b) -1584 (c) -1 a What is the fourth biggest value in -0.1, 0.1, -1/6, -30, -35.6? -30 Which is the second biggest value? (a) -0.4 (b) -2/41 (c) 2 (d) 2/393 d What is the fourth smallest value in -0.15, 477, -0.21, 2, 0.4? 2 What is the second smallest value in 0, 4, -7, -22? -7 Which is the second smallest value? (a) 19658 (b) 0.8 (c) -0.4 b What is the second smallest value in 0.05, 2/5, -0.5, 241, 0? 0 Which is the third biggest value? (a) -3/10 (b) 2/9 (c) 5 (d) 1/10 d Which is the fifth smallest value? (a) -114 (b) -1/13 (c) 1/8 (d) 2 (e) 2/5 d What is the biggest value in 2/3, 30, -1/175, 3/8? 30 Which is the second biggest value? (a) -3 (b) 0.1073 (c) 5 b What is the biggest value in 0.1, 0, 15483? 15483 What is the biggest value in -1/9, 0.5, 3, 11490/7, -5? 11490/7 What is the third biggest value in 1/13, -536, -1/86? -536 What is the fifth biggest value in -6, -1, 1/266, 13, -4? -6 What is the third smallest value in -3, 2/7, 5, -5, -0.02? -0.02 What is the third smallest value in -0.1, -1/966, 47, -4? -1/966 What is the second smallest value in 37, 3, 0, -0.18, 0.4, 7? 0 Which is the third biggest value? (a) -1/5 (b) 1 (c) 0.1 (d) -5 (e) -0.8 (f) 10 c What is the fourth smallest value in -1, 5/32, 2, -12/5, -0.1, 0.4? 5/32 Which is the fourth smallest value? (a) -1 (b) -3 (c) -0.2 (d) -2 (e) 0.0095 c Which is the biggest value? (a) 1/2 (b) -5/3 (c) -3 (d) -0.4 (e) -0.19 (f) 8 f Which is the third smallest value? (a) -232/7 (b) 3 (c) 5 (d) 4 d What is the fifth smallest value in -0.5, 1/4, -10, 0.34, 0.4, 1.54? 0.4 Which is the fourth smallest value? (a) 1 (b) -20 (c) -2 (d) 2 (e) -0.5 (f) 0.4 f What is the fifth smallest value in 4, -2/5, -39, 17/3, -2? 17/3 Which is the fourth smallest value? (a) -5 (b) -66.4 (c) 0.1 (d) -18 c What is the third biggest value in 5, -2/9, -2313? -2313 What is the biggest value in 2.33, 19, -0.05? 19 What is the fifth smallest value in 23, -7, 4, -5, 0.1, 51/2? 23 Which is the fourth biggest value? (a) -1 (b) 4 (c) 728 (d) 0.05 a What is the fourth smallest value in 0.3, -8, -5, 0.4, 0, 97? 0.3 What is the third biggest value in 0.7, 2090, -3? -3 What is the second biggest value in -16.7, 2/7, 1/2, 0.162? 2/7 What is the fifth smallest value in -0.58, 0.2, -0.025, -0.4, 2/19? 0.2 Which is the smallest value? (a) 0.01 (b) -1/4 (c) 10 (d) 2/13 (e) -135/11 (f) 0 e What is the second biggest value in -1, 0, -2/15, 4, 1, 6/13? 1 What is the smallest value in -12, 8, -9, -0.4? -12 Which is the fifth biggest value? (a) -4 (b) 1/49 (c) -1/4 (d) 56 (e) 4 a Which is the fourth biggest value? (a) -0.5 (b) -0.2 (c) 0.025 (d) -300 d Which is the second biggest value? (a) -1 (b) -16 (c) -3 (d) 3 (e) 39 d What is the biggest value in -6, -13, -0.836? -0.836 What is the second biggest value in 2/61, 0, 413? 2/61 Which is the fifth smallest value? (a) -0.4 (b)
{ "pile_set_name": "DM Mathematics" }
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700 What is the square root of 4234883 to the nearest integer? 2058 What is 391656 to the power of 1/3, to the nearest integer? 73 What is the eighth root of 19257284 to the nearest integer? 8 What is the third root of 85289 to the nearest integer? 44 What is the square root of 164597 to the nearest integer? 406 What is the ninth root of 103742 to the nearest integer? 4 What is the square root of 824944 to the nearest integer? 908 What is 4682262 to the power of 1/9, to the nearest integer? 6 What is the square root of 4883072 to the nearest integer? 2210 What is the square root of 4223165 to the nearest integer? 2055 What is the cube root of 4491105 to the nearest integer? 165 What is the fourth root of 5978907 to the nearest integer? 49 What is the cube root of 449196 to the nearest integer? 77 What is the third root of 245616 to the nearest integer? 63 What is the square root of 791864 to the nearest integer? 890 What is the cube root of 366762 to the nearest integer? 72 What is 767178 to the power of 1/7, to the nearest integer? 7 What is 598869 to the power of 1/2, to the nearest integer? 774 What is 11446172 to the power of 1/4, to the nearest integer? 58 What is 1966753 to the power of 1/2, to the nearest integer? 1402 What is the square root of 961685 to the nearest integer? 981 What is the seventh root of 137132 to the nearest integer? 5 What is the square root of 175940 to the nearest integer? 419 What is 1838101 to the power of 1/7, to the nearest integer? 8 What is 2308837 to the power of 1/10, to the nearest integer? 4 What is the square root of 5490263 to the nearest integer? 2343 What is 3576068 to the power of 1/2, to the nearest integer? 1891 What is 3934516 to the power of 1/4, to the nearest integer? 45 What is 6423228 to the power of 1/5, to the nearest integer? 23 What is 8650660 to the power of 1/2, to the nearest integer? 2941 What is the cube root of 2230479 to the nearest integer? 131 What is 193390 to the power of 1/10, to the nearest integer? 3 What is the eighth root of 1593637 to the nearest integer? 6 What is the tenth root of 154410 to the nearest integer? 3 What is the square root of 22120560 to the nearest integer? 4703 What is 17916653 to the power of 1/2, to the nearest integer? 4233 What is 136647 to the power of 1/3, to the nearest integer? 52 What is the square root of 798549 to the nearest integer? 894 What is the cube root of 870966 to the nearest integer? 95 What is the sixth root of 21552 to the nearest integer? 5 What is the square root of 5094156 to the nearest integer? 2257 What is the third root of 3932788 to the nearest integer? 158 What is the cube root of 780394 to the nearest integer? 92 What is the eighth root of 12936759 to the nearest integer? 8 What is 7495514 to the power of 1/2, to the nearest integer? 2738 What is 720595 to the power of 1/2, to the nearest integer? 849 What is the cube root of 6219130 to the nearest integer? 184 What is 388496 to the power of 1/3, to the nearest integer? 73 What is 4344161 to the power of 1/10, to the nearest integer? 5 What is the sixth root of 606833 to the nearest integer? 9 What is the third root of 109685 to the nearest integer? 48 What is 6214 to the power of 1/9, to the nearest integer? 3 What is 2705657 to the power of 1/4, to the nearest integer? 41 What is 2207118 to the power of 1/6, to the nearest integer? 11 What is 29266508 to the power of 1/7, to the nearest integer? 12 What is the square root of 298853 to the nearest integer? 547 What is 244075 to the power of 1/7, to the nearest integer? 6 What is the square root of 5659921 to the nearest integer? 2379 What is the sixth root of 16316129 to the nearest integer? 16 What is the square root of 211126 to the nearest integer? 459 What is 923942 to the power of 1/3, to the nearest integer? 97 What is the cube root of 31483 to the nearest integer? 32 What is 2264214 to the power of 1/8, to the nearest integer? 6 What is 19797949 to the power of 1/2, to the nearest integer? 4449 What is the eighth root of 37398248 to the nearest integer? 9 What is 3656060 to the power of 1/2, to the nearest integer? 1912 What is 1251136 to the power of 1/5, to the nearest integer? 17 What is the square root of 491497 to the nearest integer? 701 What is 139086 to the power of 1/3, to the nearest integer? 52 What is the third root of 233885 to the nearest integer? 62 What is 5800641 to the power of 1/3, to the nearest integer? 180 What is 1203413 to the power of 1/8, to the nearest integer? 6 What is the cube root of 614573 to the nearest integer? 85 What is the square root of 507247 to the nearest integer? 712 What is the fifth root of 158415 to the nearest integer? 11 What is 21671 to the power of 1/3, to the nearest integer? 28 What is the seventh root of 124508 to the nearest integer? 5 What is the cube root of 305028 to the nearest integer? 67 What is 2840 to the power of 1/6, to the nearest integer? 4 What is 115398 to the power of 1/3, to the nearest integer? 49 What is 3191379 to the power of 1/2, to the nearest integer? 1786 What is the tenth root of 463777 to the nearest integer? 4 What is 1252769 to the power of 1/10, to the nearest integer? 4 What is the ninth root of 23223857 to the nearest integer? 7 What is 1436909 to the power of 1/2, to the nearest integer? 1199 What is 4793674 to the power of 1/5, to the nearest integer? 22 What is the third root of 1703971 to the nearest integer? 119 What is the square root of 485062 to the nearest integer? 696 What is 19963 to the power of 1/8, to the nearest integer? 3 What is the cube root of 34608024 to the nearest integer? 326 What is the sixth root of 707595 to the nearest integer? 9 What is the seventh root of 13551664 to the nearest integer? 10 What is the third root of 2608499 to the nearest integer? 138 What is the ninth root of 18132582 to the nearest integer? 6 What is the square root of 6449153 to the nearest integer? 2540 What is 15006628 to the power of 1/6, to the nearest integer? 16 What is the cube root of 8860695 to the nearest integer? 207 What is the square root of 81767 to the nearest integer? 286 What is the third root of 1501510 to the nearest integer? 115 What is 6478 to the power of 1/3, to the nearest integer? 19 What is 80640 to the power of 1/2, to the nearest integer? 284 What is the ninth root of 4315895 to the nearest integer? 5 What is the third root of 12109087 to the nearest integer? 230 What is the square root of 4080036 to the nearest integer? 2020 What is the ninth root of 25453 to the nearest integer? 3 What is 196475 to the power of 1/8, to the nearest integer? 5 What is 7190121 to the power of 1/6, to the nearest integer? 14 What is 2357802 to the power of 1/2, to the nearest integer? 1536 What is the fifth root of 1466281 to the nearest integer? 17 What is 25337794 to the power of 1/2, to the nearest integer? 5034 What is the third root of 248883 to the nearest integer? 63 What is the square root of 26734723 to the nearest integer? 5171 What is 64354 to the power of 1/2, to the nearest integer? 254 What is 20515 to the power of 1/3, to the nearest integer? 27 What is the square root of 2134432 to the nearest
{ "pile_set_name": "DM Mathematics" }
*z. Is z less than -1/5? True Suppose -i = 2*w - 8, 12 = -0*i - 3*i. Let x = w + -4. Are x and 2 nonequal? False Let y be (882/(-44))/(-9) - 3. Let k = y - -3/11. Suppose c = 2*c + 1. Which is smaller: c or k? c Let i = -58 - -57. Which is bigger: i or -33? i Suppose 547 = -3*y - 4*f, 27 = y - 3*f + 231. Let r be (-2 - 1902/y) + -2. Let g = 52/9 - r. Which is greater: g or 1? 1 Let v = -61 - -60. Which is greater: -9 or v? v Let s be 30/(-9) + 2 + (-4)/(-12). Which is smaller: -3/4 or s? s Suppose -4*x + 2*x - 2*l = 18, 5*x - l = -15. Suppose -5*w - 25 + 0 = -5*y, 5*y = 3*w + 25. Let s = x + y. Which is greater: 2 or s? 2 Let v = 82/3 + -28. Let w(i) = -3*i**2 - 7*i - 4. Let z(s) = 16*s**2 + 36*s + 20. Let d(p) = 11*w(p) + 2*z(p). Let n be d(-3). Which is smaller: n or v? v Let x(n) = 5*n**2 - 5*n**2 - n**3. Let r be x(1). Is r > -1? False Let r = -9269/70 - -666/5. Let j = 113/126 - r. Is 1 less than j? False Suppose 7*n - 3*n + 20 = 4*p, -2*n + 18 = 5*p. Let u = 5 - 3. Suppose -u*k + 6*k = 0. Which is bigger: k or n? k Let m = 2 - -4. Let h = -9 + m. Is -3 at most h? True Let z be (-3)/4*(-33)/(-22). Which is smaller: 0 or z? z Let q be 1/(3/(-2) - -1). Let a be ((-3)/(-2))/(1/4). Let s be (-8)/a*(-6)/(-4). Is q bigger than s? False Suppose -8 = -3*r - 5. Suppose 3*z + z - 20 = 0. Suppose -4*x - 11 = -z*w, -2 = -w - 3*x + 4. Which is smaller: w or r? r Suppose 2*d = -3*h - 1, 0 = -h + 4*d + d - 23. Which is greater: -5 or h? h Let i = 15 + -14. Let d = 445 - 7567/17. Which is smaller: d or i? d Let v be 0 + (-6 - 0)*-1. Which is smaller: 0 or v? 0 Suppose -68*n + 48 = -64*n. Is -2 less than n? True Let k = 16 + -22. Let n be 3685/150 - 2/k. Let i = 25 - n. Is i bigger than -1? True Let n = -13 + 15. Is n < -11? False Let z = 28/533 - -1/41. Is 1 < z? False Let l be (-9)/(-3) - 63/24. Which is smaller: l or -1? -1 Let j be ((-14)/21)/(8/6). Which is smaller: 7/5 or j? j Let h = 17 + -24. Let a = h - -6. Which is smaller: 1 or a? a Let q = 28 - 0. Which is bigger: q or -0.1? q Let q(x) = -2*x - 4. Let c(a) = -a - 3. Let r be c(0). Let w be q(r). Which is bigger: 0 or w? w Suppose 0 = -0*b - 2*b + 10. Is 5 greater than b? False Let h = -6299/4 - -1562. Which is smaller: -12 or h? h Let z be (-2)/5 + 22/(-20). Suppose -2*j = 4 - 12. Let a be j/(-8)*(-1 + 3). Are a and z equal? False Let i = -1 - -5. Let l = 7 - 5. Do i and l have different values? True Let k(q) = q**2 - 6*q + 6. Let z be k(4). Let y be (5 + -4)*z/(-3). Which is smaller: y or 0? 0 Suppose -x - 3*m = 1, 4*x - 5*m + 0 = -4. Let h(g) = g + 2. Let u be h(1). Suppose 0 = -u*p - 6. Which is smaller: x or p? p Let i(n) = -n + 0*n + 3*n**2 + 0*n**3 - n**3. Let m(a) = -a - 8. Let z be m(-9). Let s be i(z). Is 0.1 at least s? False Let n be 243/24*6 + -1. Let y = -60 + n. Which is smaller: y or -2/3? -2/3 Let d = -8 - -5. Let y = d - -2.7. Let t be 3*((-34)/30 + 1). Which is greater: y or t? y Let w = -33.9 - -34. Does w = 5? False Let o = -44/67 - 2/201. Let b = -0.9 + 1. Are b and o non-equal? True Let o = -14 - -15. Which is bigger: o or -22/3? o Let p = -19 + 18. Let t be ((-8)/(-4))/(p/(-2)). Is -3 at least as big as t? False Let r = 0.8 + 1.2. Let u = -1.94 + r. Let t = -1.06 + u. Is 1 < t? False Let g = -1.9 + 1.94. Which is bigger: 0.1 or g? 0.1 Let w = 11 - 11. Suppose w = -m + 5*a + 6, -4*m = a - 6*a - 54. Are 0 and m equal? False Suppose 3*l - 12 = -3*l. Suppose -6*u - 3 = -u + 3*h, 3*u = -2*h - l. Which is smaller: u or -2/3? -2/3 Let y = -2/1483247 + -2984292834/96411055. Let p = y + 154/5. Suppose 2*v + 0 = 2*b - 6, 2*v = 3*b - 6. Do b and p have the same value? False Let h = 21 + -20.89. Let l = -1.89 - h. Which is smaller: 1 or l? l Let f(y) = -y**3 - 5*y**2 + 4. Let i be f(-5). Suppose -5*n - 24 = -i. Is -2 less than or equal to n? False Let i(m) = -m**2 - 14*m. Let y be i(-14). Suppose g + y = 1. Suppose -3 = 4*q - 11. Is g at least q? False Let g be ((-3)/(-4))/((-1)/(-4)). Suppose 0 = 4*i - g - 1. Let w be ((-3)/(-14))/(6/(-8)). Is i greater than or equal to w? True Let s be -3*(1 - 10/15). Let n be 3/(-4)*57/9. Let u = 5 + n. Is s at least u? False Suppose -3*r - 2*r - 50 = 0. Let d be 2/r - (-84)/(-30). Which is smaller: 0.1 or d? d Let p = 7.4 - 7. Let a = p - -0.1. Is -1/4 equal to a? False Suppose 5*q = 2*q. Suppose q = 5*m - 13 - 2. Suppose -2 = -j - j. Which is bigger: j or m? m Suppose 37*j - 33*j + 96 = 0. Which is bigger: j or -22? -22 Let u(b) = 2*b**2 - b + 10. Let t(l) = -l**2 + l - 5. Let y(z) = 9*t(z) + 4*u(z). Let s be y(4). Which is greater: -2/7 or s? -2/7 Suppose 5*q = -3*r + 2*r + 14, 3*q - 8 = -r. Suppose -q*l = -2*k + 13, -4*l + 10 = 3*k - 1. Is 0 not equal to l? True Let c be 8 + (0/(-2))/1. Suppose -5*u = -5*h + 30, h + h + 3*u = -c. Suppose -5*l + 13 = q + 2*q, 0 = 2*q - l. Which is smaller: h or q? q Suppose 2*b = g - 44, -3*g + 111 = -0*b - 5*b. Is b < -20? True Let l = 7 - 4. Suppose 7*m - 4*m = -l. Which is smaller: -1/11 or m? m Let n = -54.1 - -54. Let c be (-2)/(-3)*12/(-20). Which is bigger: c or n? n Suppose -2*p + 2*h + 4 = 0, -4*p + 4*h = p - 7. Suppose -5*v - 5*w - 14 = -4, 2*w + 22 = 4*v. Let s be (-4*v/(-12))/(-1). Is p at most as big as s? True Let y(a) = a**2 - 6*a + 2. Let k be y(5). Let j be 0 + ((-2)/2 - k). Suppose r - j + 0 = 0. Which is greater: r or 1? r Let d(f) = f**3 + f**2 - 5*f - 3. Let g be d(-3). Let i = g + 1. Let a be (-32)/(-14) + 10/i. Is 0 < a? True Suppose -2*y - 20 = -2*i, -2*i - 14 = -3*i + 5*y. Let a(r) = -r**2 + 9*r + 6. Let g be a(i). Is g < 7? True Let w = -2 - -2. Let v = 0.1 - w. Which is smaller: -1/3 or v? -1/3 Let t(d) = 8*d**2 - 4*d + 4. Let i(x) = 7*x**2 - 4*x + 3. Let v(r) = -7*i(r) + 6*t(r). Let g be v(6). Which is greater: -8 or g? -8 Suppose -11 = v - 5. Let a(l) = -4*l - l + 4*l - 6. Let m be a(v). Which is smaller: 2 or m? m Let p(z) = -z**3 + 10*z**2 + 10*z + 13. Let o be (-6)/2*(-88)/24. Let g be p(o). Which is greater: 0 or g? g Let p = 5 - 5. Is p at least -2/51? True Suppose -r = r - 14. Let y = r - 7. Are y and 3/7 unequal? True Let c = -5 - -9. Suppose c*x = -3*o - o + 16, 2*x = -4*o + 14. Let m = x + -1. Is m smaller than 3? True Suppose -2*a + 7 = -a. Let d(l) = l**2 - 7*l + 3. Let q be d(a). Suppose t - q = 3. Which is greater: t or 2? t Let f = -696 - -493. Let w = f + 4465/22. Does 0 = w? False Suppose 0 = q + 2, 4*q + 18 = -o - o. Let l = o + 7. Suppose -l*u = -12 + 2. Is 2/5 greater than u? False Let w be 2/(-8) - (-1 + (-15)/(-36)). Is 0.2 > w? False Let h be 0 - (2 + -1 + -2). Let c(x) = x**3 - 6*x**2 + 7*x - 4. Let l be c(4). Let o be (-2)/l + (-6)/120. Does o = h? False Let c be (-4 + 0)*(-5)/30. Which is bigger: c or 1? 1 Let k(l) = 2*l - 2. Let j be k(0). Which is greater: j or 0.2? 0.2 Let m = -4/5 - 2/5. Does m = -2? False Let f = 145 + -144. Is f less than 4/3? True Let t be -3 + 5 + -2 + -4. Let b be 1/((-5)/t - 1). Let v be b/(-8) - 5/(-3). Is v greater than 1? True Let o(t) = t**2 + 5*t + 2. Let g be o(-4). Let s be 2/(-10) - g/(-5). Suppose -6*j + 2*j = 0. Is j less than or equal to s? False Let q be (-39)/(-15) + (-3)/5. Suppose -3*u + 2*v = -31, 3*u - 7 = 2*u + 4*v. Suppose -18 = -q*w - i - 3*i, 0 = 5*w - 4*i + u. Which is smaller: -1/4 or w? -1/4 Let y = -46 - -231/5. Let p(a) = 4*a + 18. Let m(o) = 2*o + 9. Let h(q) = 13*m(q) - 6*p(q). Let s be h(-4). Which is bigger: y or s? s Let g be (-9)/(-2)*(-9 - -7). Let m be g/(-6)*(0 - -2). Let b be (-7)/(-6) + 1/3. Which is bigger: b or m? m Suppose b + 9 = 3. Let t = 5 + b. Let z = 1 + -1. Which is smaller: t or z? t Let o be 4/8 - 18/(-4). Suppose 17 = -o*z + 2. Are -3 and z non-equal? False Let x = -2.02 + 0.91. Let z = x + 1.1. Let k = z + -0.19. Is 0.3 greater than k? True Let q be -2 - -2 - (0 - 2). Suppose q*c - 4 = 4*c. Which is greater: c or -3? c Suppose 2*v - 12 = 6*v. Which is greater: v or -27? v Let h = -10.4 + 9. Let l = h + 0.5. Is -1 greater than or equal to l? False Suppose t + 57 = 3*f, 95 = 5*f - 2*t + t. Suppose -f = 3*x - 100. Suppose 3*s = -3*c - x, -2*c - 3*c + 4*s = 9. Is c >= -3? False Suppose t = l + 14, 0 = -l + t + t - 19. Let d be ((-3)/l)/(4/3). Which is greater: 1 or d? 1 Let s = 12 + -8. Suppose 0 = a - 1 + s. Is a greater than -1? False Let g = 8 - 11. Let l be (-4)/14 - (-62)/(-
{ "pile_set_name": "DM Mathematics" }
(b) s (c) v a Let j = -0.05 + 1.05. Let y = -22 - -21.7. Which is the closest to y? (a) j (b) -2 (c) -1 c Let j = 7 - 6. Let y = 0.3 + 1.7. Let t = -3.1 - -0.1. Which is the closest to j? (a) 3 (b) y (c) t b Let s = -0.44 - -0.2. Let f = s + -0.06. What is the closest to -1/3 in 0.1, f, 4? f Let a be 1 - (2 - -8)/(-2). Let h(y) = -y**3 + 7*y**2 - 5*y - 5. Let q be h(a). What is the nearest to q in 5, 1, -2/13? 1 Let c = -1.3 - -0.3. Let i(t) = -t**2 + t + 1. Let f be i(3). Let g = 2 - 2. What is the closest to g in 2/5, f, c? 2/5 Let h be ((-27)/(-90))/((-3)/(-4)). What is the nearest to h in -0.8, 4, 3? -0.8 Let t(d) = d + 10. Let q be t(-9). Which is the closest to -1? (a) -1 (b) q (c) 0 a Let f = 0.285 - -0.115. Which is the closest to 0.1? (a) -3 (b) 5 (c) f c Let w be (-1 + (-28)/(-24))/((-2)/4). Which is the closest to 2/7? (a) -1/10 (b) w (c) 1/3 c Let t = -184/595 - -2/85. Suppose -9 = 5*a - 29, -3*a = -3*d - 24. Let u(f) = f**3 + 3*f**2 - 5*f - 3. Let s be u(d). What is the nearest to s in 0.2, 4/5, t? 4/5 Let v = -2.114 + 0.014. Let w = 0.05 - -1.95. Let j = w + v. Which is the nearest to j? (a) 2/3 (b) 2 (c) 3 a Let g = -0.05 - -1.05. Let z = g + -1.5. What is the closest to 1/3 in z, 1, -4? 1 Suppose c + 5*k - 31 = 0, -4*c + 43 = 2*k - 27. Let o = c + -21. What is the nearest to 0 in 0.3, o, 2/5? 0.3 Let k(f) = f**3 - 5*f**2 - 4*f - 7. Let t be k(6). Suppose 4*l = 9*l + t. What is the nearest to l in 3/5, 2, 5? 3/5 Let y be (1 - (-1)/(-2))*-1. Let d = -123 + 120. What is the nearest to -1 in 5, y, d? y Let s be (1*1/(-3))/(-1). Let v = 18.9 + -22.9. Which is the closest to s? (a) v (b) 0.5 (c) -1/2 b Let j = -136.7 - -131. Let p = -0.8 - j. Let m = -0.1 - p. Which is the closest to -0.1? (a) m (b) 4/7 (c) 5 b Let d = 4 + -3.99. Which is the nearest to -1/3? (a) 3 (b) d (c) -5 b Suppose -5*y + 29 = 2*l, -4*l - 2*y = -15 - 19. Let h(r) = 5*r**2 + l*r + 1 + 7 - 4*r**2. Let s be h(-6). Which is the nearest to s? (a) -4 (b) -2/3 (c) 0.3 c Let f(r) = -r**3 - 9*r**2 - 9*r - 5. Let p be f(-8). Which is the closest to -0.1? (a) 3/7 (b) p (c) -4 a Let l = 0.2 - -0.3. Which is the closest to 2? (a) -1/9 (b) l (c) -0.05 b Let x = 11 - 12. Let b = -0.1 + 0.5. What is the closest to x in b, -3, 5? b Let o = 77 + -80. Which is the closest to o? (a) -0.5 (b) 0.4 (c) -1 c Let p(d) = 7*d - 15. Let t(m) = -4*m + 8. Let v(a) = -3*p(a) - 5*t(a). Let h be v(6). What is the closest to -1 in h, -2, 4/9? h Let q = 0.7 + 0.3. Let r = 22/89 + 1/356. Which is the nearest to q? (a) -0.2 (b) r (c) 4 b Let h = -0.13 - -0.35. Let v = 0.66 - h. Let k = -0.04 + v. Which is the closest to 0? (a) k (b) -0.2 (c) -5 b Let w = -1.2 - 1.8. Let l be 3/35 + (-4)/14. Let h = -2/35 - l. Which is the nearest to 0? (a) w (b) h (c) 0.1 c Let b = 27/5 - 24/5. What is the nearest to -2 in 0.2, 6, b? 0.2 Let l = -1556 + 7806/5. Let z be ((-92)/(-18))/(20/21). Let i = l - z. What is the closest to 1 in 0.4, -1/4, i? 0.4 Let b = -3 - -3. Let d = -3.2 - -16.2. Let k = 12.8 - d. What is the closest to -4 in b, 1, k? k Let n = -1 + 2. Let v be (3/(-12))/((-3)/(-18)). Which is the nearest to n? (a) v (b) 2 (c) 1/3 c Let w = 43/4 + -11. Let t = -6.46 + 1.46. What is the nearest to w in 3/5, -1/6, t? -1/6 Let r = 12.8 - 12.3. Which is the closest to -0.7? (a) -1/5 (b) -5 (c) r a Let l = -5 + 6. Let u = -0.1 - -0.06. Let i = -3.04 - u. Which is the nearest to l? (a) -1 (b) i (c) -4 a Suppose -22 = -7*t - 1. Let i = 3.6 - 4. Which is the nearest to i? (a) t (b) -5 (c) -0.2 c Let g = 8.1 - 6.1. Let j = 11 - 5. Suppose 2*r = -16 + j. Which is the nearest to g? (a) -2 (b) r (c) 0.5 c Let u = -2 - 2. Let x = 2 + u. Which is the closest to x? (a) 2/21 (b) 0 (c) -1/2 c Let m = 5 + -2. Suppose 19 = -m*l - 104. Let j = 85/2 + l. What is the nearest to 2 in -0.5, j, -2/13? j Let r = -4 + 3.8. Which is the closest to 0.1? (a) 4 (b) r (c) -5 b Let l = 3.7 - 2.7. Let z = -11 + 43/4. Which is the nearest to z? (a) 0.1 (b) l (c) 3 a Suppose 3*d = 3 + 3. Let l = -0.21 + -0.79. Which is the closest to l? (a) -5 (b) -1/3 (c) d b Let s(m) = -m - 1. Let x be s(0). Let j = 3.7 + -0.7. Let v = -2 + j. Which is the closest to v? (a) x (b) -0.1 (c) -0.2 b Let h = 9/4 + -49/20. Which is the closest to -2? (a) h (b) 4 (c) 3/4 a Let l(o) = 5*o**2 - o. Let v be l(1). Suppose -v*i - 2*g - 20 = 0, -2*g - 22 = 3*i + 3*g. Let c = -1 - i. What is the nearest to 1/2 in c, 4, 0.5? 0.5 Let q = -0.7 + -1.3. Which is the closest to 1/3? (a) 2 (b) q (c) -2/7 c Let q = -2.9 + 3.84. Let i = q - -0.06. Let g be 4/14 - (-12)/105. Which is the closest to i? (a) 2 (b) 3 (c) g c Let c be (84/15)/4 - 1. Let b = 3 + 0. Let w be (-9)/(-4) + -1*3. What is the nearest to c in b, -4, w? w Let i(j) = 6 - j**3 - 5*j**2 + 3 + 6*j - 4. Let d be i(-6). Which is the closest to 0.1? (a) d (b) -1/2 (c) 0.4 c Suppose 2*g = -4*c - 8, 2*g + 0*g + 3 = c. Let t be c/((-2)/(-4) + 0). Let a be (-3 + 1)/(1 + t). What is the closest to 0 in 0, 2/9, a? 0 Let d = 21/4 - 23/4. Which is the closest to d? (a) 0.2 (b) 4 (c) -3 a Let z = -3 - -5. Let f(i) = i**3 + 6*i**2 + 3*i + 8. Let b be f(-6). Let d be (-2)/4 + b/(-15). What is the closest to 0 in d, z, 3? d Let y = -0.3 - -0.1. Let u = -0.1 - -0.1. Let l = u + 0.1. Which is the closest to l? (a) 0 (b) y (c) -5 a Let h = 3861/17 - 227. Let d = 8665/84 - 413/4. What is the closest to -1 in h, d, 2/5? d Let q = 6 - 0. Let w = 3 - q. Which is the nearest to -0.1? (a) -0.2 (b) w (c) 0.3 a Let y = 0.021 + -10.021. Which is the closest to 2/3? (a) 2/3 (b) y (c) -0.2 a Let t = 18 - 18.1. What is the nearest to t in 0, -1/3, -2/9? 0 Let x = 17 - 14. Let k be 2 - 12*(-6)/(-45). Which is the nearest to x? (a) 4 (b) k (c) -0.2 a Let n = 3.1 - 3. Let y = 841/10 - 84. What is the closest to n in 0.2, y, -3? y Let v = 4 - -14. Suppose 2*x = -x + v. Let j be (-1 - -2) + x/(-4). What is the nearest to -2/5 in j, -3/4, -1? j Let a = -1.5 - 3.5. What is the nearest to 1/5 in 2, a, -4? 2 Let r = -81/190 + 1/38. Which is the nearest to 0? (a) -1/5 (b) -0.1 (c) r b Let k = 0.06 - -0.06. Let w = -1.12 + k. Suppose -v = 2*v - 6, 3*z - 5*v + 10 = 0. Which is the nearest to z? (a) w (b) -5 (c) 1/3 c Let j = 0.2 + 0. Let g = 2.5 - -0.5. Let n = g - 4. What is the nearest to n in 0.3, 3, j? j Let r = 0.7 + -0.58. Let i = 6.12 - r. What is the closest to -1/3 in 0, i, 1? 0 Let x = -43/105 + -4/21. Which is the nearest to 4? (a) 1 (b) 3 (c) x b Let a = -21.2 + 21. What is the nearest to 1/4 in 5, 10, a? a Let p = 11 + -8. Let d = -4 + 3. Let l = 81 + -81.1. What is the nearest to -1/2 in d, p, l? l Let w = 9 + -7. Suppose -p + 2*b - 11 = -b, -9 = 3*p - b. Let a be (p/44)/(1/4). What is the closest to 2/5 in w, 0.4, a? 0.4 Let d = 6 - 9. Let x be -3 + 4/(-18)*-12. Let v = -0.07 - 0.43. Which is the nearest to -1? (a) d (b) x (c) v c Let f = -7 + 7.5. Let s = -2.9 - -3. What is the nearest to s in f, 0.2, -0.1? 0.2 Let x = 1.9 - 0.9. Let i = -10 - -30. Suppose -3*g = 2*g - i. What is the closest to x in 0.4, g, 0.3? 0.4 Let h be 1/(18*(-4)/(-8)). Which is the closest to 0.2? (a) h (b) -5 (c) -2/13 a Let m = 5.04 + -0.04. What is the nearest to 0.2 in -0.4, -3/2, m? -0.4 Let v = -1.4 + 0.4. Let q = -2.02 + 0.02. Let h = q + v. Which is the nearest to 0? (a) h (b) 0 (c) 5 b Suppose o = 2*o + 16. Let i be (o/12)/((-4)/18). What is the nearest to i in 3, -0.3, 2? 3 Let f = -1.63 + -0.37. What is the closest to -2 in f, 2/9, -1? f Let o = 5.1 - 0.1. Let i = 60.1 - 60. What is the closest to i in -0.5, o, 0? 0 Let m be (-3 + (-30)/(-9))/1 - 1. Which is the nearest to m? (a) -1/8 (b) 2/9 (c) -1 c Let k = -1339/9 + 149. Let g be ((-1)/(-3))/((-2)/(-12)). Which is the nearest to k? (a) 0.1 (b) 5 (c) g a Let f = -0.08 - 0.92. Let v = 2 + -2. Let g = -0.9 - -1. What is the closest to f in v, g, -3/2? -3/2 Suppose -2*u - 2*u + s - 4 = 0, 3*u + 4*s - 16 = 0. Which is the nearest to 0.1? (a) 3 (b) -3/2 (c) u c Let i = -1.3 + 1.29. Let w = -0.31 - i. Which is the closest to 1? (a) w (b) 0.6 (c) -5 b Let y = 0.26 - 0.26. Which is the nearest to -2/7? (a) -1/5 (b) -3 (c) y a Let t = 1.05 - 0.05. Let g = 3.8 - 4. Let
{ "pile_set_name": "DM Mathematics" }
ber? True Is 3727837 a composite number? False Is 253849529 a composite number? False Is 25026847 a composite number? False Is 3313643 a composite number? True Is 10070405 prime? False Is 113662574 composite? True Is 305621 a prime number? True Is 489029 prime? False Is 161749257 a prime number? False Is 17564047 prime? True Is 1053661 a prime number? False Is 1871911 a prime number? False Is 16771241 composite? False Is 137451247 composite? True Is 41113543 composite? False Is 548471761 a composite number? True Is 3432893 a prime number? False Is 3979763 composite? True Is 106284301 a prime number? False Is 8066027 composite? False Is 19568269 a composite number? True Is 1567741 composite? True Is 117005311 a prime number? True Is 2473469 composite? True Is 62463689 a composite number? False Is 91480749 composite? True Is 13450427 prime? True Is 19602859 a prime number? False Is 46544287 a composite number? False Is 40188041 prime? False Is 4171199 a prime number? False Is 5602099 a prime number? True Is 3642407 a prime number? False Is 44577817 a prime number? False Is 41748551 prime? False Is 4049483 composite? False Is 848339 composite? True Is 111029 prime? True Is 1677107 a composite number? True Is 1778801 composite? False Is 8574701 a prime number? False Is 12734191 prime? False Is 2557069 a prime number? False Is 148806409 a composite number? False Is 51924709 a composite number? False Is 1620691 prime? False Is 6536429 prime? False Is 848641 composite? True Is 1114987 composite? False Is 10808755 composite? True Is 176503309 a prime number? False Is 33190589 prime? True Is 639253 prime? True Is 217999 prime? False Is 161963 a composite number? True Is 20994667 composite? True Is 90350531 prime? False Is 2798807 a composite number? True Is 45401023 prime? False Is 157007 a prime number? True Is 2998619 a composite number? True Is 111184163 composite? True Is 11646823 prime? False Is 3223267 prime? False Is 179178269 a composite number? True Is 1209853 a composite number? False Is 2197003 composite? True Is 32275409 a prime number? False Is 10856969 prime? False Is 4302013 prime? True Is 3839911 a prime number? True Is 4580893 a prime number? True Is 78457283 a prime number? True Is 19435799 prime? True Is 25972103 prime? True Is 34272533 a prime number? False Is 4878187 a composite number? False Is 142089859 prime? False Is 4402043 prime? True Is 1236419 a composite number? False Is 1361766859 composite? False Is 55458329 prime? True Is 2746147 composite? False Is 290125217 composite? True Is 8397383 composite? True Is 1046183789 a prime number? False Is 13167274 prime? False Is 28934231 a composite number? False Is 566911 prime? True Is 11967037 a composite number? False Is 616431 prime? False Is 873685 a composite number? True Is 200699327 a prime number? True Is 3076967 prime? False Is 298138 composite? True Is 369390127 a composite number? True Is 2017993 composite? True Is 10728815 a composite number? True Is 1159309061 a composite number? False Is 1732961 a composite number? False Is 93129083 a composite number? False Is 81852079 a prime number? False Is 39237634 a prime number? False Is 5934697 a composite number? False Is 2188831 a prime number? True Is 831293 composite? True Is 83150399 composite? False Is 362437 composite? True Is 14614937 a composite number? False Is 232906991 composite? True Is 23956717 a prime number? True Is 14596753 a composite number? True Is 4480607 composite? True Is 81587743 a prime number? False Is 61155221 a prime number? True Is 14999035 prime? False Is 398135767 prime? False Is 859069 prime? False Is 1206348134 a composite number? True Is 498301 prime? True Is 1243139 composite? True Is 16023841 composite? False Is 9541801 prime? True Is 20947327 a composite number? False Is 402619841 composite? True Is 20291521 composite? True Is 28699163 a prime number? True Is 507520151 a composite number? False Is 10173431 prime? False Is 59696099 a composite number? True Is 29667139 a composite number? False Is 8418649 composite? True Is 14193701 a prime number? True Is 50002823 prime? False Is 1107863 composite? True Is 8237213 prime? True Is 3278497 a composite number? True Is 11982163 a prime number? True Is 72004991 a composite number? True Is 236867 a prime number? True Is 16729561 a composite number? False Is 31673293 a composite number? False Is 11522447 prime? False Is 3292673 a composite number? False Is 26658755 a composite number? True Is 13137823 composite? False Is 5152783 a composite number? False Is 51586078 a composite number? True Is 24516694 a composite number? True Is 26533853 composite? False Is 105007489 a composite number? True Is 201006823 composite? False Is 3644357 prime? True Is 28386821 composite? True Is 63820343 prime? False Is 6037027 prime? False Is 844058 a composite number? True Is 54639271 prime? False Is 2556853 a composite number? True Is 18220213 composite? True Is 24605431 a composite number? False Is 62655101 composite? True Is 309877 composite? False Is 1366627 a composite number? False Is 475001179 a prime number? False Is 20636377 a composite number? False Is 199735663 a prime number? True Is 47206657 a prime number? True Is 236617 a prime number? False Is 16360739 composite? True Is 2928691 a composite number? False Is 6343306 a prime number? False Is 2157833 composite? False Is 2712767 prime? True Is 82894757 composite? True Is 71852467 a composite number? True Is 365292467 composite? False Is 181962019 a composite number? False Is 403609 prime? False Is 184724027 a prime number? False Is 41040947 a prime number? False Is 6043511 composite? True Is 21504781 prime? True Is 5166311 a composite number? False Is 2605543 a prime number? True Is 218053531 a prime number? True Is 903751 a composite number? False Is 2218277 a prime number? True Is 5253473 a prime number? False Is 157688639 composite? True Is 42498329 prime? True Is 69712753 prime? False Is 11831483 composite? False Is 676347137 a prime number? False Is 123557065 prime? False Is 5455309 composite? False Is 37573637 a composite number? False Is 8906137 composite? False Is 30768787 composite? True Is 27398489 composite? False Is 4764311 composite? False Is 152762507 composite? True Is 37263755 a composite number? True Is 153689 a composite number? False Is 8212511 a prime number? True Is 550080877 prime? False Is 628580093 a prime number? True Is 138087221 a prime number? False Is 4089763 a prime number? True Is 4095881 a composite number? False Is 4517419 a composite number? False Is 179842447 a prime number? True Is 4124423 prime? False Is 37244003 composite? True Is 92071621 prime? True Is 2796601 prime? False Is 3520969 prime? False Is 22418273 prime? True Is 496152347 a prime number? True Is 144076993 a composite number? True Is 380909 composite? False Is 45379687 a composite number? False Is 47720657 a composite number? False Is 27629313 a prime number? False Is 9737467 prime? True Is 19082467 a prime number? False Is 123581 a prime number? True Is 21201671 a prime number? False Is 11377101 prime? False Is 124870883 a prime number? False Is 18645889 a prime number? False Is 585541 a composite number? True Is 260399 a composite number? False Is 169312699 a composite number? True Is 30372607 a composite number? True Is 66379531 prime? True Is 630874 a composite number? True Is 44406643 a prime number? True Is 66568537 a prime number? False Is 3205465 prime? False Is 8705657 a composite number? False Is 1190429 composite? False Is 3467689 prime? True Is 12760763 a prime number? True Is 6586729 prime? False Is 26397737 a prime number? True Is 11277103 a prime number? False Is 117617 a prime number? True Is 10149341 a prime number? False Is 3062819 a prime number? False Is 1900243 composite? True Is 1430089 prime? True Is 3741017 a prime number? False Is 28350187 a prime number? True Is 23580169 composite? False Is 1224348247 a composite number? False Is 31357037 a composite number? True Is 115953841 a composite number? True Is 8289158 a prime number? False Is 67251869 a prime number? False Is 833233 prime? False Is 4392727 a prime number? False Is 2150777 prime? True Is 11269651 composite? False Is 46
{ "pile_set_name": "DM Mathematics" }
37*m - 5 - 2 + 2 + 1. -437*m - 4 Collect the terms in 251 + 12*i**3 - 55*i**3 + 269 - 786 + 266. -43*i**3 Collect the terms in 983*v - 489*v + 357*v**2 + 390*v**2 - 494*v. 747*v**2 Collect the terms in -792*o**2 - 12*o**3 + 3145*o**2 - 793*o**2 - 771*o**2 - 789*o**2 + 11*o**3. -o**3 Collect the terms in -4525*a**2 - 32288*a + 32288*a. -4525*a**2 Collect the terms in 11577*k + 147 + 146 - 291. 11577*k + 2 Collect the terms in 6444*w - 6444*w + 13759*w**2. 13759*w**2 Collect the terms in 79*v + 32*v + 310*v**2 - 4*v**3 - 111*v + 9*v**3. 5*v**3 + 310*v**2 Collect the terms in -5068*f**2 + 3273797*f - 3273797*f. -5068*f**2 Collect the terms in 54372 + 54196 - 108568 + 3*a**2. 3*a**2 Collect the terms in -2159*k + 107*k**3 - 569*k**2 + 2161*k + 569*k**2. 107*k**3 + 2*k Collect the terms in 162*h + 300645527 - 300645527. 162*h Collect the terms in 13*f**2 - 8*f**2 + 13*f + 52*f**3 + 2*f. 52*f**3 + 5*f**2 + 15*f Collect the terms in -2*f**2 + 342*f**3 + 48*f**3 + 2*f**2 + 342*f**3. 732*f**3 Collect the terms in 87*g**3 + 62*g**3 + 3*g**3 + 30*g**3 + 135*g**3. 317*g**3 Collect the terms in 337207*m**2 - 674464*m**2 + 337262*m**2. 5*m**2 Collect the terms in -206 + 21*d**3 - 893 - 537 - 572 - 33. 21*d**3 - 2241 Collect the terms in -4*f**3 + 1853*f**2 + 5*f**3 + 595 - 1853*f**2 + 83. f**3 + 678 Collect the terms in -921 - 205 - 4*p**2 + 6572*p + 1126 - 6572*p + 0*p**2. -4*p**2 Collect the terms in 26*y + 14*y + 472 + 19*y - 71*y + 11*y - 474. -y - 2 Collect the terms in 406*p**2 - 3325*p**2 + 27431*p**2. 24512*p**2 Collect the terms in 0 + 0 + 5368*f**3 - 2266*f**3. 3102*f**3 Collect the terms in -279877*v + 4 - 4 - 5 + 4 - 4. -279877*v - 5 Collect the terms in 37823*m**3 - 13*m - 1849*m**2 - 37820*m**3 + 366*m**2 - 166*m**2 + 13*m. 3*m**3 - 1649*m**2 Collect the terms in -25 + 88 - 39*r - 26 + 27*r - 33. -12*r + 4 Collect the terms in -5*z**2 + 91*z**2 - 1 - 13 + 20 - 6. 86*z**2 Collect the terms in -8277752 + 8277752 - 437*l. -437*l Collect the terms in -14*o + 20*o - 325*o**3 + 0 + 0. -325*o**3 + 6*o Collect the terms in 60*o - 60*o + 2142091*o**2. 2142091*o**2 Collect the terms in 10*y + 487725 - 243644 - 244081. 10*y Collect the terms in -259 + 142 + 80*i + 119 - 63*i + 78*i. 95*i + 2 Collect the terms in 133902*v**2 - 267947*v**2 + 14 + 134046*v**2. v**2 + 14 Collect the terms in -113*x**2 + 272*x**2 - 155*x**2 - 45 + 6 - 4. 4*x**2 - 43 Collect the terms in -2*i + 2*i + 54051 + 6*i**2 + 85509. 6*i**2 + 139560 Collect the terms in 450125*r**3 + 450245*r**3 - 900462*r**3. -92*r**3 Collect the terms in 18947*y - 19 - 15 + 48 - 16. 18947*y - 2 Collect the terms in 21 - 2405*o - 19 + 20. -2405*o + 22 Collect the terms in -14670*c + 5386*c + 4879*c + 4863*c. 458*c Collect the terms in 239757 - 9*y**3 - 239772 + 0*y**2 - 13*y**2 - 4*y**2. -9*y**3 - 17*y**2 - 15 Collect the terms in 26*t**2 + 18*t**3 + 14*t**2 - 20*t**3 + 21*t**2 + 13*t**2. -2*t**3 + 74*t**2 Collect the terms in 110 + 85 - 299 - 6*r + 42*r + 102. 36*r - 2 Collect the terms in -6224*j**2 - 6207*j**2 - 6158*j**2 - 3*j + 3*j + 18693*j**2. 104*j**2 Collect the terms in -4799*l**3 - l**2 + l**2 + 9962*l**3 - 4949*l**3. 214*l**3 Collect the terms in -2556*w - 2046*w + 4602*w - 4*w**2. -4*w**2 Collect the terms in -1590*p**2 + 624*p**2 + 516*p**2 + 509*p**2. 59*p**2 Collect the terms in -47 + 97*g**2 + 0*g**2 - 57 - 55*g**2 - 16*g**2 - 25*g**2. g**2 - 104 Collect the terms in -2*o**2 - 320644013596 + 320644013589 + 0*o**2. -2*o**2 - 7 Collect the terms in 4490 - 13447 + 4487 + 4481 - 6238*c + 6235*c. -3*c + 11 Collect the terms in -70217*d**2 + 312288*d**2 + 221091*d**2. 463162*d**2 Collect the terms in -72383*v**2 - 7*v**3 + 72383*v**2 + 26. -7*v**3 + 26 Collect the terms in -11*z + 1068708*z**3 + 1068686*z**3 - 19*z - 2137396*z**3 + 30*z. -2*z**3 Collect the terms in 16239236680*x - 16239236680*x + 326*x**2. 326*x**2 Collect the terms in -2 - 2*r**2 + 13 - 2*r + 695870*r**3 - 695835*r**3 + 2*r**2. 35*r**3 - 2*r + 11 Collect the terms in 10*u**2 + 5641*u**3 - 5*u**2 - 1901*u**3 - 5*u**2 - 1883*u**3 - 1879*u**3. -22*u**3 Collect the terms in -2042153*j**2 - 2034464*j**2 - 2334*j**2 + 1026652*j**2. -3052299*j**2 Collect the terms in 5516*l**2 + 9792*l**2 - 41 + l - 675*l**2 + 42. 14633*l**2 + l + 1 Collect the terms in 799*q**3 - 1637*q**3 + 40*q**2 - 67*q**2 + 804*q**3 - q + 27*q**2. -34*q**3 - q Collect the terms in -192*s + 16*s**2 - 16*s**2 + 199*s - 15 - 3*s**3. -3*s**3 + 7*s - 15 Collect the terms in -25625676 - 55*o**3 + 25625676. -55*o**3 Collect the terms in f**3 + 6*f**2 - 9*f**3 - 6*f**2 - 1469*f + 968*f. -8*f**3 - 501*f Collect the terms in 200*k**2 + 59 - 59 + 63*k**2. 263*k**2 Collect the terms in 151*p**2 + 2 - 9 + 0 - 54*p**2. 97*p**2 - 7 Collect the terms in 1920*g + 1919*g + 1912*g + 1913*g + 1915*g - 11417*g + 1839*g. g Collect the terms in 31684*q**3 - 15977*q**3 - 15705*q**3. 2*q**3 Collect the terms in -4194*j - 4695*j + 9806*j. 917*j Collect the terms in -292*y - 2473 - 2471 - 2470 - 376*y + 7417. -668*y + 3 Collect the terms in 88*z**2 - 1380*z**2 - 148*z**2 - 38*z + 38*z. -1440*z**2 Collect the terms in -10 + 6 + 7 - 35 - 7*h + 5*h. -2*h - 32 Collect the terms in 104 + 269*q**3 + 226*q**3 - 493*q**3. 2*q**3 + 104 Collect the terms in 1147 - 2343 + z**3 + 7*z + 1194. z**3 + 7*z - 2 Collect the terms in 6377*t - 12758*t - 22846*t**2 + 6381*t. -22846*t**2 Collect the terms in 113*p**3 - 66506 - 159*p**3 + 36*p**3 + 66506. -10*p**3 Collect the terms in -511*v**2 + 216 - 207 - 12*v - 665*v**2. -1176*v**2 - 12*v + 9 Collect the terms in 149856486167 - 26*z**2 - 149856486167. -26*z**2 Collect the terms in 119098 - 119098 + 5417*v**3. 5417*v**3 Collect the terms in -95074931*p**3 + 31347438*p**3 - 58499480*p**3. -122226973*p**3 Collect the terms in 329*n**3 - 2021*n**3 + 3398*n**3. 1706*n**3 Collect the terms in -4*u - 17 + 3*u + 9 - 11 + 9 + 14. -u + 4 Collect the terms in -1096100*r**2 - 1507783*r**2 - 166964*r**2. -2770847*r**2 Collect the terms in 76*h - 2 - 1 - 72*h - 69*h + 52*h - 5. -13*h - 8 Collect the terms in 4094814 - 7*s - 2047540 + 3*s - 2047274. -4*s Collect the terms in -192*y**3 - 224*y**3 - 210*y**3 - 214*y**3 + 1042*y**3 - 216*y**3. -14*y**3 Collect the terms in -6608*c - 4438*c + 2097*c. -8949*c Collect the terms in -l + 23*l + 24*l - 115 + 15*l + 124 - 49*l. 12*l + 9 Collect the terms in 53 + 44 - 61 + 9*m. 9*m + 36 Collect the terms in -5*h**3 + 27680*h + 9816*h + 34822*h + 47855*h. -5*h**3 + 120173*h Collect the terms in 7481 - 29611 + 7485 + 7483 + 7162 + 6*p. 6*p Collect the terms in -5*x**2 + 26847039*x**3 + 5*x**2 - 26847598*x**3. -559*x**3 Collect the terms in 14 + 1751958*c - 3 - 11. 1751958*c Collect the terms in -4*r**2 + 159*r**2 + 70 - 154*r**2 + 2*r**3 + 38. 2*r**3 + r**2 + 108 Collect the terms in 23*z**2 + 12159*z - 6119*z - 6040*z + 66*z**2 - 15*z**2. 74*z**2 Collect the terms in 101*l - 1135*l - 2102*l + 584*l. -2552*l Collect the terms in 7*u - 1273413 + 636691 + 636722. 7*u Collect the terms in -111*k + 0 - 3 - 49*k**3 + 3 + 213*k - 102*k. -49*k**3 Collect the terms in -92*q - 2*q**3 - 20*q + 2*q**3 - 66*q + 3*q**3 + 178*q. 3*q**3 Collect the terms in 12476070234*x**3 - 4*x**2 - 12476070233*x**3 + 4*x**2 + 0*x**2. x**3 Collect the terms in -1332 - 3094*h**2 + 2665 - 1333 - 232*h**2. -3326*h**2 Collect the terms in 42019314*a**3 - 7*a - 42018798*a**3 + 7*a. 516*a**3 Collect the terms in 116*k + 159 + 284 - 79*k - 123*k - 124*k. -210*k + 443 Collect the terms in -46*r**3 + 100*r**3 - 46*r**3 + 107*r**3 + 191*r**3. 306*r**3 Collect the terms in 72*b**3 + 88*b**3 + 81*b**3 + 63*b**3 - 5*b**2 - 309*b**3. -5*b**3 - 5*b**2 Collect the terms in -80*a**2 - 165 + 67 + 51 + 52. -80*a**2 + 5 Collect the terms in -28*j**2 - 24*j**2 - 29*j**2 + 49*j + 79*j**2 - 174. -2*j**2 + 49*j - 174 Collect the terms in 8545*q**2 - 2856*q**2 + 9*q - 2820*q**2 - 11*q - 2857*q**2 + 2*q. 12*q**2 Collect the terms in 824*q**3 - 786*q**3 - 514*q**3 - 561*q**3. -1037*q**3 Collect the terms in 58 + 174 - 9914*q - 8923*q. -18837*q + 232 Collect the terms in 4*q - 4411 - 2498 + 1058 - 5123. 4*q - 10974 Collect the terms in -135094166704*n**2 + 67547083354*n**2 + 67547083351*n**2. n**2 Collect the terms in -13002*s**2 + 26114*s**2 - 13108*s**2 - 12 + 12. 4*s**2 Collect t
{ "pile_set_name": "DM Mathematics" }
.00864 -4572.7 times -3 13718.1 0.01 * -2.6 -0.026 8 times 99 792 Multiply -0.4 and 0.31. -0.124 Calculate -19*3.5. -66.5 Product of 2 and -0.24. -0.48 Work out -0.267 * 0.3. -0.0801 0.3*0.058 0.0174 2513*-0.3 -753.9 -4 times 549 -2196 -0.01*-1873 18.73 What is the product of 34.3 and -3? -102.9 What is the product of 1.24 and 0.1? 0.124 -1.9*145 -275.5 Calculate 2*-331. -662 -1 times -100 100 Work out -0.0241 * 0.2. -0.00482 Multiply 26 and -0.39. -10.14 Multiply -78.9 and -0.1. 7.89 Calculate 99*8. 792 What is the product of 1.7 and 209? 355.3 Calculate -0.47*263. -123.61 Multiply -2179 and -1. 2179 -3*-1701 5103 What is 3 times 44.1? 132.3 Calculate -37*-2. 74 What is 72 times -4? -288 Work out 8 * 0.4. 3.2 -3 * 6.3 -18.9 Multiply -5 and 4.427. -22.135 -0.6*-20 12 0.06 times -0.4 -0.024 What is 3 times -0.65? -1.95 Multiply -0.24 and -0.02. 0.0048 Calculate 0.01*0.5. 0.005 -4 times 7 -28 -160 * 0.3 -48 Multiply -2 and 0.046. -0.092 0.0784 times -0.5 -0.0392 Work out -0.06 * 162. -9.72 4 times 0.7 2.8 Multiply 92 and -0.6. -55.2 What is the product of -0.3 and -0.03? 0.009 184 * 0.07 12.88 -2 * -190 380 -7.46 times -6 44.76 What is 0.4 times 0.0495? 0.0198 What is the product of 1 and -1.6? -1.6 -0.25 * 0.105 -0.02625 What is the product of 2 and -4.7? -9.4 4*88 352 Multiply 0.05 and 695. 34.75 1369 * -3 -4107 Work out -0.08 * -4. 0.32 Multiply 2.34 and -0.5. -1.17 -0.0215*3 -0.0645 346 * -2 -692 0.003*25 0.075 What is the product of 2.377 and -0.4? -0.9508 What is the product of -0.177 and -13.5? 2.3895 Product of -12 and -12. 144 What is the product of 0.2 and 3511? 702.2 Product of -0.151 and 0.6. -0.0906 What is the product of -2 and 83? -166 Multiply -0.0882 and -0.23. 0.020286 Product of -207 and -3. 621 Product of 8.8 and -37. -325.6 Product of 384 and 2. 768 334 * -0.1 -33.4 What is the product of -0.6 and -40? 24 Work out 0.708 * -3. -2.124 29*-49 -1421 Product of 3179 and -5. -15895 Product of -5971 and -5. 29855 Work out 1.923 * 0.4. 0.7692 Work out -5.338 * 0. 0 -0.035*0.048 -0.00168 What is -48 times -8? 384 -3*882 -2646 What is the product of 2 and 49? 98 Multiply -20.3 and 0.75. -15.225 Multiply 0.533 and 0. 0 -1.131 times -0.3 0.3393 0.4 * -15 -6 Multiply -5.9 and 0.129. -0.7611 Work out 2.4 * -41. -98.4 What is the product of -1 and -649? 649 What is the product of -1 and -365? 365 0 * 3.58 0 What is -1.07 times -3.35? 3.5845 4 * 1.444 5.776 -0.01 * -1658 16.58 -0.042 * 69 -2.898 Calculate -29*15. -435 -0.2 * -0.08 0.016 Product of 58 and -0.06. -3.48 -0.08*187.6 -15.008 What is 0.21 times 56.9? 11.949 -4 * -300 1200 What is the product of 5.1 and 0? 0 Calculate 0.08*-0.8. -0.064 Work out -1726 * 0.11. -189.86 What is -0.2745 times 6? -1.647 -0.9 * -0.0662 0.05958 1.2*55 66 Calculate 51*48. 2448 Multiply -2 and -0.4. 0.8 0.3*-3599 -1079.7 What is the product of -5.47 and 0.02? -0.1094 1.2*26.7 32.04 Multiply -72 and -173. 12456 Calculate -0.4*28. -11.2 Calculate -0.01*0.0172. -0.000172 3 * -2.07 -6.21 Calculate 0.193*0.2. 0.0386 What is the product of -0.3965 and -0.2? 0.0793 -25*-0.06 1.5 Multiply 0.005 and -7. -0.035 35 * -0.11 -3.85 What is -2 times -0.2722? 0.5444 Work out 0.019 * 0. 0 -302 times -3 906 What is -0.2 times 134? -26.8 Multiply 11501 and -5. -57505 0.3*240.7 72.21 Work out 3 * 0.47. 1.41 Work out 0.5 * 0.48. 0.24 -0.1 times 17.4 -1.74 21 times 0.04 0.84 -2*-182 364 Work out -0.641 * -0.5. 0.3205 Work out -0.1 * 0.0201. -0.00201 What is the product of -9.3 and -0.5? 4.65 Work out 6 * 0.0498. 0.2988 -2.85 times 9.6 -27.36 -0.1173 times -1.7 0.19941 Work out -0.3 * 3.9. -1.17 -4 times -114 456 What is the product of 11.86 and -2? -23.72 Work out -1.06 * 41. -43.46 What is -113 times 0.3? -33.9 What is the product of -56.5 and -5? 282.5 What is 177 times 2? 354 72 times 1 72 What is the product of 2071 and 0.03? 62.13 What is 4 times -12? -48 0.185 * 97 17.945 Calculate -4.1*0. 0 What is -56 times -0.06? 3.36 -26 * -486 12636 Multiply -0.3 and 0.8. -0.24 Product of -0.2024 and 5. -1.012 50 times -360 -18000 -6*0.2 -1.2 Product of -3 and 1. -3 0.5*-3559 -1779.5 Multiply -0.237 and -0.3. 0.0711 Calculate -678*2. -1356 Calculate 372*0.05. 18.6 -34 times 7 -238 Calculate -240*2.5. -600 Calculate 0.24*74. 17.76 -205.4 * -5 1027 Work out 9742 * 5. 48710 Calculate -0.3*-1539. 461.7 Calculate -10*-49. 490 -16 times 0.9 -14.4 Product of 3 and 3.082. 9.246 Work out 5 * 0.89. 4.45 3*-76 -228 Calculate -17*-2.8. 47.6 What is the product of 5 and 0.0047? 0.0235 0*102 0 124*-5 -620 -0.1 times -0.022 0.0022 Multiply -0.1 and -409. 40.9 Multiply 2.1 and -25. -52.5 Calculate 0.81*0.56. 0.4536 Calculate -0.16*0.13. -0.0208 What is the product of 60 and 1.1? 66 Multiply -7 and 5. -35 What is -2.4 times 0.0588? -0.14112 Work out 0.4 * -0.2. -0.08 -0.3 * -5.13 1.539 0 * 4696 0 What is -5 times 17? -85 Calculate -0.4*357. -142.8 Work out 0.2067 * 0.17. 0.035139 -8*-24 192 Work out 1.1 * 3086. 3394.6 -5 times 0.164 -0.82 0.9 * -0.41 -0.369 1 * 0.0796 0.0796 Multiply -6.8 and 66. -448.8 -91 * 0.13 -11.83 1 * 126 126 0.5 * -73 -36.5 Calculate -0.25*-0.1. 0.025 Calculate 0*45. 0 What is -0.2 times 317? -63.4 Calculate -20*-6.5. 130 Product of -7 and 75. -525 -8876*3 -26628 Work out -12.6 * -3. 37.8 Multiply 10 and 0.029. 0.29 -343 * -0.4 137.2 What is -0.09 times 78? -7.02 -10009 * 1 -10009 What is the product of 1.44 and -2? -2.88 -0.5 * 2.93 -1.465 Product of -11 and -20. 220 -41*-19 779 5 times -2.78 -13.9 Work out -30 * 1. -30 Product of -3.9 and 0.8. -3.12 What is -0.1 times 67? -6.7 What is -0.07 times -0.4? 0.028 Work out 1690 * -2. -3380 What is 0.2778 times 0.2? 0.05556 What is the product of 4 and 27.2? 108.8 Work out -3.6 * 0.059. -0.2124 Multiply 0.1469 and 0.3. 0.04407 What is the product of -85 and 0.24? -20.4 -0.9 * -0.34 0.306 Multiply 0.2 and -59. -11.8 Calculate -119*-116. 13804 -1 * -357 357 What is the product of 5.1 and 0.3? 1.53 -0.078 * -4 0.312 -32*1 -32 2 times -0.426 -0.852 Calculate 0*26.5. 0 Work out -0.4 * -114. 45.6 What is the product of -2 and -164? 328 What is the product of 13.5 and 1.4? 18.9 Work out -3024 * -1. 3024 Product of 0.2 and -47.4. -9.48 -2.92 * -0.2 0.584 Product of -0.2 and 2121. -424.2 What is -1 times -0.133? 0.133 0.271*-25 -6.775 What is 9.9 times -0.5? -4.95 -0.199*4 -0.796 Multiply 149 and -0.3. -44.7 3.61 times 0 0 Product of -3.26 and -0.03. 0.0978 What is the product of -0.12 and -19? 2.28 Product of -0.008 and -0.8. 0.0064 What is -4 times 968? -3872 Work out -0.37 * 1.7. -0.629 -0.05 * 2.6 -0.13 What is the product of 3 and -46.2? -138.6 Work out -1242 * -0.5. 621 What is the product of 0.39 and -2? -0.78 -0.06*0.11 -0.0066 704 * -0.3 -211.2 Calculate 1.8*0.1. 0.18 Work out 0 * -74. 0 What is -0.3 times -5.17? 1.551 -1046*0.1 -104.6 What is the product of -187 and 0.03? -5.61 4201*-0.3 -1260.3 What is 4 times -1621? -6484 What is 128 times 5? 640 What is 4 times -0.025? -0.1 What is 328 times -0.2? -65.6 973*-0.2 -194.6 0.4 * -0.083 -0.0332 Work out 5 * 0.088. 0.44 Multiply -20 and 1291. -25820 0.2 * 0.009 0.0018 Multiply 0.8 and 0.13. 0.104 -40.6*-5 203 What is the product of -0.062 and 0.03? -0.00186 Work out 6 * 0.2231. 1.3386 What is -47 times -7? 329 Calculate 60*0.08. 4.8 What is 28 times 53? 1484 0.08*0.49 0.0392 Product of 51 and 72. 3672 Work out -0.17 * -32.8. 5.576 What is 28.09 times -4? -112.36 What is -0.1 times -556? 55.6 -0.067 times -0.08 0.00536 Calculate 0.0467*-17. -0.7939 What is 8 times -2117? -16936 Multiply 22195 and -2. -44390 0.04 * 21 0.84 Product of -7 and 1233. -8631 What is -0.0027 times -2.1? 0.00567 Product of 16 and 77.4. 1238.4 -6 * -0.027 0.162 Work out 3 * -535. -1605 Product of 0.02 and -0.064. -0.00128 Multiply -10 and -5. 50 What is the product of 3 and -0.179? -0.537 What is 41 times 3? 123 -0.4 * -0.93 0.372 What is 21 times 3.2? 67.2 4.6595 * 0.5 2.32975 Multiply 0.2 and -53. -10.6 Product of 0.049 and 7. 0.343 -18.15 times -17 308.55 -8402*-0.2 1680.4 -1.5 * -0.17 0.255 -0.2 times 357 -71.4 What is -1 times 45? -45 Calculate -4*91. -364 What is 0.76 times -15? -11.4 Product of 3 and -5.81. -17.43 10.19 times 0.3 3.057 Calculate 0.23*60. 13.8 What is -0.4 times 10.7? -4.28 5 * -1.495 -7.475 Multiply -86 and 0.21. -18.06 Multiply 0.0
{ "pile_set_name": "DM Mathematics" }
r). Let x(p) be the first derivative of p**3 + 0 + 47 - 28. Give x(b(w)). 3*w**4 Let d(h) = h**2 - 909796. Let b(t) = t**2. Determine d(b(a)). a**4 - 909796 Let i = -2 - -15. Let g(m) = i*m - 36*m + 14*m + 7*m. Let y(f) be the first derivative of -f**3/3 + 1. Determine g(y(c)). 2*c**2 Suppose -2*d = 5*x - 6, 4*d = 3*x + 5*d - 3. Let f(h) be the second derivative of x*h**2 + 0 - 7/6*h**3 - 4*h. Let m(y) = -y. What is m(f(q))? 7*q Let c(o) = -3*o**2 - 6*o + 6. Suppose 0 = -6*a + 2 + 34. Let h(w) = 4*w**2 + 7*w - 7. Let s(u) = a*h(u) + 7*c(u). Let f(y) = -4*y**2. What is s(f(b))? 48*b**4 Let q(p) = 228*p**2. Let f(d) = -1 + 6 - d + 2 - 7. What is f(q(n))? -228*n**2 Let z(d) = 3*d**2 - 2*d - 3. Let s(f) = 29*f**2 - 22*f - 33. Let q(b) = 2*s(b) - 22*z(b). Let t(j) = 14*j. Calculate t(q(v)). -112*v**2 Let v(z) = -3*z - 543. Let f(w) = -15*w**2. Calculate v(f(i)). 45*i**2 - 543 Let d(m) = -3*m**2 + 29 - 13 - 16 + 4*m**2. Let c(w) = -775*w**2. What is c(d(s))? -775*s**4 Let v(q) = -q**3 - 8*q**2 + 11*q + 21. Let g be v(-9). Let x(j) be the second derivative of 0 + 3/2*j**g + 4*j + 0*j**2. Let l(n) = n**2. Determine l(x(f)). 81*f**2 Let f(t) = 192*t - 198*t - 24 + 36. Let k(s) = -s. Calculate f(k(y)). 6*y + 12 Let f(p) = -30*p**2 + 3*p - 3. Let i(l) = -61*l**2 + 7*l - 7. Let s(x) = 7*f(x) - 3*i(x). Let r(h) = 5*h. Calculate r(s(z)). -135*z**2 Let z be (-10)/(-4)*(-20)/(-10). Let i(b) = b. Let w(q) = q. Let d(u) = z*w(u) - i(u). Let s(o) be the third derivative of -o**4/12 + 4*o**2. What is s(d(v))? -8*v Suppose -5*y + 10 = 0, 3*y = -3*t + 16 + 5. Let z(q) = 3*q + 2*q + t*q - 9*q. Let f(r) = -10*r**2. Give z(f(w)). -10*w**2 Let b(v) = 4*v**2. Let p(f) be the third derivative of f**6/180 - 5*f**3/3 - 12*f**2. Let x(c) be the first derivative of p(c). Determine x(b(h)). 32*h**4 Let j(g) be the third derivative of -33*g**2 + 0*g**3 + 0*g + 0 + 13/24*g**4. Let t(c) = -c**2. Give t(j(l)). -169*l**2 Let p(a) = 38*a - 18*a + 49 - 26 - 23. Let t(j) = -3*j**2 + 6. Calculate p(t(n)). -60*n**2 + 120 Let l(a) = -a**2. Let p(i) = 3*i**2 - 12*i + 4. Let c(h) = 2*h**2 - 16*h + 3. Let m(d) = -4*c(d) + 3*p(d). Determine m(l(f)). f**4 - 28*f**2 Let n(q) be the second derivative of -3*q**4/4 + 29*q**2/2 + 173*q. Let o(k) = -2*k. Give o(n(b)). 18*b**2 - 58 Let n(r) = -2*r**2. Let f = 99 + -90. Let l(v) = -v**2 + f - 4 - 5. Determine l(n(u)). -4*u**4 Let p(u) = 92719*u. Let b(t) = 23*t**2. Give b(p(i)). 197726698103*i**2 Let f(m) be the third derivative of -27*m**4/8 + 39*m**2. Let j(t) = 3*t**2. Determine j(f(s)). 19683*s**2 Let g(m) = -23*m. Let j(b) = 3*b + 10*b - 16*b + 2*b. Give g(j(r)). 23*r Let l(x) = x. Let o(g) = -554*g**2 + 11*g. Determine o(l(a)). -554*a**2 + 11*a Let x(u) = 21855*u. Let s(t) = 17*t**2 + 1. Determine x(s(c)). 371535*c**2 + 21855 Let q(t) be the second derivative of 0*t**2 + 23/6*t**3 + t + 19. Let l(n) = -2*n**2. What is q(l(a))? -46*a**2 Let z(o) = -o**2 - o - 1. Let a = -24 - -28. Let s(n) = -7*n**2 - 4*n - 4. Let f(d) = a*z(d) - s(d). Let j(p) = 4*p**2. Give f(j(h)). 48*h**4 Let m(i) = -3*i**2. Let j(u) = -1 - 2*u - 10*u - 1 + 3 + 2. Calculate m(j(k)). -432*k**2 + 216*k - 27 Suppose -5*a = -20, m + m = -4*a + 22. Let q(o) = m*o**2 - 9*o + 4*o**2 + 9*o. Let w(y) = -2*y + 6. Let g(p) = 1. Let b(v) = 6*g(v) - w(v). Determine b(q(d)). 14*d**2 Let a = -13 - -15. Let b(k) = 3*k**a + 2*k**2 - 17 + 17. Let z(t) = -t**2. Calculate b(z(m)). 5*m**4 Let w(r) = r. Let l = -3/391 + 4319/2346. Let b(f) be the second derivative of 0*f**2 + 5*f + l*f**3 + 0. Determine w(b(i)). 11*i Let c(h) = -2*h + 3095. Let k(z) = -3*z. Calculate c(k(v)). 6*v + 3095 Let z = -263 + 263. Let r(u) be the third derivative of 3*u**2 + 0*u**4 + z - 1/60*u**5 + 0*u**3 + 0*u. Let x(k) = 3*k**2. Give r(x(g)). -9*g**4 Let b(d) = -4*d. Let n be (-14)/(-50)*5 + 3/5. Let y(v) = 5*v - 3*v + 3*v**2 - n*v. Give y(b(x)). 48*x**2 Let h(q) = 8*q. Let c be (-4)/((-7)/((-7)/(-2))). Let g(o) = -3*o**c - 2*o**2 + o**2 + 2*o**2. What is g(h(m))? -128*m**2 Let j(l) = 3*l**2 - 5. Let o(y) be the first derivative of y - 19. Let p(h) = j(h) + 5*o(h). Let m(z) = 11*z**2. Determine m(p(q)). 99*q**4 Suppose w - 1 = -0*w. Let n(t) = w - 21*t + 5*t + 9*t. Let g(o) = 2*o**2. Determine g(n(f)). 98*f**2 - 28*f + 2 Let z(o) = 6*o + 21. Let l(h) be the first derivative of h**2/2 + 4*h + 17. Let n(g) = 21*l(g) - 4*z(g). Let m(u) = -21*u**2. Determine m(n(a)). -189*a**2 Let w(p) be the second derivative of p**3/2 + 99*p + 1. Let v(l) = -68*l**2. Determine w(v(h)). -204*h**2 Let v(h) = -104*h. Let a(r) = -3*r + 6*r**2 + 3*r - r**2 - 3*r**2. What is v(a(u))? -208*u**2 Let a(y) = -10955*y**2 - 2. Let n(o) = o. What is a(n(g))? -10955*g**2 - 2 Let n(u) = -7*u**2. Let t(v) = -26*v - 2. Let g(w) = -26*w - 3. Let a(k) = -2*g(k) + 3*t(k). Calculate n(a(j)). -4732*j**2 Let x(m) = -13*m. Let n(s) = 1652*s. Determine n(x(c)). -21476*c Let w(i) = -77*i - 76*i - 3*i**2 + 153*i. Let n(v) = -14 + 2*v**2 + 7 + 7. Calculate n(w(u)). 18*u**4 Let w(f) = -32*f. Let t(d) = 18*d**2. Calculate w(t(c)). -576*c**2 Let a(v) = -778*v. Let t(l) = 486*l. What is t(a(f))? -378108*f Let d(o) = -8*o - 2. Let a(q) = -q**2 - 20*q - 5. Let r(k) = -2*a(k) + 5*d(k). Let w(f) be the second derivative of -5*f**4/4 - 10*f. Give r(w(j)). 450*j**4 Let v(x) = -x. Let i(l) = 219414*l**2 + 3. What is v(i(m))? -219414*m**2 - 3 Let s(i) = i**2 + 4. Let g(k) = -321*k**2. Calculate g(s(b)). -321*b**4 - 2568*b**2 - 5136 Let v(b) = -9*b - 7. Let r(q) = 5*q + 4. Let g(d) = 7*r(d) + 4*v(d). Let l(x) = -7*x + 2*x - x. Determine l(g(s)). 6*s Let w(p) = p. Let k(z) = 16*z**2 - 6*z + 18. Let m(g) = g - 3. Let b(y) = -k(y) - 6*m(y). Determine b(w(c)). -16*c**2 Let g(j) = 4*j**2 - j. Let b(m) = -m**2 - 43. Give b(g(v)). -16*v**4 + 8*v**3 - v**2 - 43 Let x(g) = 4*g. Let z(r) = -3*r. Let j be 4/(-12)*0 - 6. Let y(s) = j*z(s) - 5*x(s). Let a(t) be the third derivative of t**5/30 - 20*t**2. Calculate y(a(f)). -4*f**2 Let u(q) be the first derivative of -q**2 + 949. Let o(i) = 40*i - 15. Let t(c) = -5*c + 2. Let w(k) = -3*o(k) - 25*t(k). Calculate w(u(x)). -10*x - 5 Let r(h) be the first derivative of 2 - 1 - h**3 - 3. Let u(g) = 7*g**2 + 5*g - 5. Let v(p) = -6*p**2 - 4*p + 4. Let k(q) = -4*u(q) - 5*v(q). What is k(r(l))? 18*l**4 Let s(c) = c**2 + 10*c + 12. Suppose k = -2*t - t - 9, t + 9 = -k. Let a be s(k). Let m(i) = -a*i + 5*i + i - 2*i. Let h(o) = 3*o**2. Determine h(m(b)). 3*b**2 Let g(y) = 6*y**2. Let x(o) = -3374*o**2. Give x(g(i)). -121464*i**4 Let a(p) = -303450*p. Let o(v) = 2*v. What is a(o(h))? -606900*h Let h(f) be the third derivative of f**7/1260 - 13*f**4/12 + 19*f**2. Let u(o) be the second derivative of h(o). Let g(c) = 9*c. Give u(g(i)). 162*i**2 Suppose 5*b - 7*z + 2*z + 80 = 0, 64 = -5*b + z. Let l be (32/b)/(4/(-6)). Let c(a) = 0*a - l*a + 2*a. Let u(x) = 6*x. Determine c(u(f)). -12*f Let h(w) be the third derivative of 2*w**5/5 - w**2. Let a(g) be the first derivative of g**2 + 41. Determine a(h(y)). 48*y**2 Let x(o) = 6*o**2 - 6. Let w(f) = -f**2 + f - 1. Let u(i) = 10*i**2 - 15*i + 15. Let z(c) = u(c) + 15*w(c). What is z(x(p))? -180*p**4 + 360*p**2 - 180 Let b(j) = -641*j. Let g(m) = 6*m**2 + 36. Give b(g(n)). -3846*n**2 - 23076 Let w(g) = -4*g**2 - 6*g - 6. Let j(z) = z. Let l(v) = -v**2 + 2*v - 1. Let s(p) = 15*j(p) - 5*l(p). Let o(y) = 6*s(y) + 5*w(y). Let a(f) = f. What is a(o(q))? 10*q**2 Let u(c) = -30817*c. Let m(x) = 3*x**2. Calculate m(u(v)). 2849062467*v**2 Let f(l) = 5*l**2 - 13*l**2 + 4*l**2. Let s(v) be the second derivative of 0 + 0*v**2 + 1/6*v**3 + v. Calculate s(f(i)). -4*i**2 Let v(i) = 7*i - 2. Let d(t) be the third derivative of -t**4/24 + 104*t**2. Calculate v(d(a)). -7*a - 2 Let q(f) = -19653*f + 7. Let a(r) = 2*r. Calculate q(a(c)). -39306*c + 7 Let f(y) be the first derivative of y**2/2 - 1. Let j(a) = a - 6. Let s(u) = u - 4. Let c(v) = 2*j(v) - 3*s(v). Calculate c(f(d)). -d Let f(d) = 5*d + 18. Let k(t) = -14*t**2 - 15. Let h(z) = 8*z**2 + 9. Let y(g) = 5*h(g) + 3*k(g). Give f(y(r)). -10*r**2 + 18 Let j(p) = -121*p + 187. Let w(r) = 2*r - 3. Let d(c) = 6*j(c) + 374*w(c). Let u(g) = -4*g. Give u(d(m)). -88*m Let l(f) = f. Let q(c) = 21552*c**2. Calculate q(l(b)). 21552*b**2 Let o(z) = 18159*z. Let d(p) = -5*p. What is d
{ "pile_set_name": "DM Mathematics" }
form g + h*k and give h. 920 Rearrange -241*u**3 - 438*u**3 - 544*u**3 + ((u - 2*u + 2*u)*(1 - 1 + 1) - u - 3*u + 8*u)*(0*u**2 + 4*u**2 + 4*u - 5*u) to l*u**3 + o*u**2 + h*u + m and give l. -1203 Express (7 - 6 + 12)*(45*j**3 - 44*j**3 + 6*j**4 - 7*j**4) in the form p + i*j**3 + t*j + d*j**2 + n*j**4 and give i. 13 Rearrange (0*j - j + 3*j)*(-2 - j + 15 + 5)*(2251*j**2 - 2248*j**2 + 13 + 7) to m + r*j**3 + l*j**4 + a*j + z*j**2 and give z. -40 Rearrange -1760*o**2 + 3364*o**2 + 34*o - 1601*o**2 to the form b + s*o + j*o**2 and give b. 0 Express 8 - 31*u**2 + 4*u**2 - 62 + 39*u**2 in the form g*u + w*u**2 + f and give w. 12 Rearrange p**3 - 3*p + 2*p**3 + 6*p + 16*p**2 + 334157*p**4 - 334156*p**4 + 25*p**2 to w + b*p**2 + f*p**3 + h*p + c*p**4 and give f. 3 Rearrange -397*m**2 - 211 - 259 + 475 to the form z + u*m**2 + y*m and give z. 5 Rearrange 1181*g**2 - 411*g**2 - 2*g**4 - g + 1 + 13*g - 10*g + 647*g**2 to b*g**4 + n + y*g + v*g**3 + q*g**2 and give q. 1417 Express -54*m - 117099*m**2 + m**3 + 117097*m**2 + 1 + 0*m**3 as l*m**2 + o + h*m**3 + n*m and give l. -2 Express -3183*z + 8517*z + 103*z + 6869*z as t*z + o and give t. 12306 Rearrange -2 - 2 - 11 - 19*n + 7 + 7 - 11*n**3 to the form t*n + g + z*n**3 + w*n**2 and give g. -1 Rearrange 9543*x**2 + 9542*x**2 - 987 - 19089*x**2 to w + p*x**2 + t*x and give p. -4 Rearrange 0*r**2 - 4059 + 4058 - 1103*r**3 + 319*r**3 - r**2 to o*r**3 + d*r + x*r**2 + t and give o. -784 Express 4*g + 26611*g**2 - 6*g - 28346*g**2 in the form v*g**2 + b + t*g and give v. -1735 Express 30*b**2 - 13*b**2 - 8*b**2 - 10*b**2 + 5 + 30*b - 76*b in the form h*b + f*b**2 + x and give h. -46 Rearrange -39*f**4 + 100 - 102 + 99*f**4 - 57*f**4 - 3*f**2 - 6*f - 2*f**3 to m*f + v*f**4 + j + d*f**2 + k*f**3 and give v. 3 Express 243*h - 186*h - 2326*h**3 + 1 - 2296*h**3 + 4658*h**3 in the form i*h**2 + j*h**3 + o*h + s and give j. 36 Express (3*x - 3*x - 2*x)*(4*x + 3*x - 5*x) + (-3*x + x - 3*x)*(19 + 9 - 14)*(2*x + 4 - 4) - 2*x**2 - 2*x**2 - x**2 in the form b*x + a + t*x**2 and give t. -149 Rearrange (-52*u + 52*u + 2*u**3)*(0 + 0 - 2*u)*(-14 + 6 - 4) to t*u**3 + f + d*u + l*u**4 + z*u**2 and give l. 48 Express ((2 + 1 - 5)*(1 - 4 - 2) + 2 - 3 - 2 + (-2 - 2 - 1)*(-2 + 1 + 4))*(-15*x - 15*x**2 + 15*x) in the form h*x**2 + g + v*x and give h. 120 Express (-12348*j**3 + 12142*j**3 + 2*j - 17*j)*(-4 + 4 + 2*j) as x*j**3 + k + p*j**4 + y*j**2 + w*j and give p. -412 Express (2*r**2 - r**2 + r**2)*(-5 + 4 + 0) + (-604 + 77 - 498 + 41)*(10*r**2 - 7*r**2 + 9*r**2) in the form y + f*r + g*r**2 and give g. -11810 Rearrange (3 + 2*t**2 - 3 + (5 - 1 - 2)*(t**2 + 2 - 2) + 7*t**2 + 4*t - 4*t)*(11*t - 182*t - 65*t) to the form u*t**2 + d*t + v*t**3 + p and give v. -2596 Rearrange (2045*i**2 + 246*i**2 + 2717*i**2 - 1392*i**2)*(-76 + 76 + 30*i)*(1 - 1 + i) to k*i**4 + q*i**3 + g + c*i + b*i**2 and give k. 108480 Express (-231*w + 70*w + 71*w + 114*w + 137)*(-4 + 4 + 3*w**2) as u*w**3 + r*w + g*w**2 + b and give g. 411 Rearrange 7349*c**4 - 3*c - 4 - 14703*c**4 + 6*c**2 + 7355*c**4 to d*c**2 + s*c**3 + z*c**4 + k*c + a and give d. 6 Rearrange 3*z**3 - 2 - 40*z**3 - 3*z**2 - 1102840*z + 1102837*z to the form s + p*z**2 + x*z**3 + g*z and give p. -3 Express 73 + 164*m**2 - 633*m - 792*m + 1425*m in the form j*m + q + n*m**2 and give n. 164 Rearrange -9 + 136*s + 4 - 3 + 4 to the form v + l*s and give l. 136 Express (-3 + 2 + 3 + 11 + 0 - 4 + (1 + 2 - 7)*(-2 + 2 + 1) + (-5 + 8 + 9)*(5 - 3 - 6) - 3 - 2 + 6)*(3*d + d - d) as c*d + h and give c. -126 Express -95 + 11*c**2 + c**2 + 16*c**2 - 21*c**2 in the form f + b*c**2 + x*c and give b. 7 Express (30 + 2699 + 4450)*(2 + 2*k**4 - 2) as o*k**3 + j*k**4 + b*k + y + r*k**2 and give j. 14358 Rearrange (1 - d**2 + 1 + 3*d**2 + 4*d)*(73 - 36 + 36) to b*d + i*d**2 + t and give i. 146 Rearrange (y**2 + 2 - 2 + (-5 + 25 + 12)*(y**2 - y + y))*(36 + 207 - 129)*(4 + 1 - 4) to the form g*y**2 + u*y + a and give g. 3762 Express 1 + 1543*o**2 + o**4 + 249*o**3 + 0 - 770*o**2 - 2 - 777*o**2 in the form p + u*o**2 + a*o**3 + d*o**4 + q*o and give p. -1 Express m**3 - 373 + 22*m + 22*m - 176 + 5*m - 46*m in the form v*m**2 + r + a*m**3 + j*m and give r. -549 Rearrange s**4 - 215*s - 29*s - 39*s**3 + 3*s**4 + 87*s**3 - 49*s**3 to the form r*s**2 + k*s + o + a*s**3 + b*s**4 and give k. -244 Rearrange 222 - 9196*d - 91 - 132 to o*d + z and give o. -9196 Rearrange -4*p**2 - 2*p**2 + 5*p**2 + (2*p - p + 0*p)*(-3*p + 3*p - p) - 2*p - 5335*p**2 + 4759*p**2 + 5*p to the form u*p + l*p**2 + n and give u. 3 Express -63 - 33 - 644*m**2 + 639*m**2 - 38 - 104 in the form a + y*m + l*m**2 and give l. -5 Express 57*v**2 + 7895*v + 1 - 7895*v in the form m*v + c + t*v**2 and give t. 57 Rearrange -44*h + 37*h + 6*h**2 - 201 - 5*h**2 - 193 to the form d*h + w*h**2 + p and give p. -394 Rearrange (-31*i**4 + 5*i**3 - 30*i**4 + 58*i**4)*(-10 + 1 + 3) to the form j*i**4 + p*i**2 + z + o*i**3 + c*i and give o. -30 Rearrange -613*g + 105 + 100 - 309 + 101 to the form o*g + c and give c. -3 Express (-66 - 30 - 15)*(-10*b**3 + 4*b**3 - b**3) as k*b**3 + g*b**2 + m*b + r and give k. 777 Express (3448 - 3448 - 698*v)*(v - 6*v + 2*v) in the form s*v**2 + h + w*v and give s. 2094 Rearrange -4*c**4 + 3*c**4 + 0*c**4 - 17*c + 2*c**4 + 142 - 2*c**3 - 146 to b*c**4 + p*c**3 + k + w*c + u*c**2 and give k. -4 Express (-2*x - 2 + 2)*(0 + 0 + 2*x**3 + (51*x**2 + 36*x**2 - 2*x**2)*(6*x + 3*x + 17*x)) in the form h + b*x**2 + p*x + s*x**4 + t*x**3 and give s. -4424 Express -128 + 128 - 316*k + 0*k - k + 3*k + (-2 + 1 + 0)*(k - 3*k + 0*k) + 2*k - 3*k - 2*k + 5*k - 3*k + 2*k - 7*k + 2*k + 3*k as o*k + m and give o. -313 Rearrange 5*z**4 - 3*z**3 - 39*z**2 - 70*z**2 + 104*z**2 + 3*z**3 + 41*z to f*z**3 + u + q*z**4 + i*z + t*z**2 and give q. 5 Rearrange -25639*z - 1 + 12666*z + 3*z**2 + 12735*z to the form v*z**2 + u + b*z and give b. -238 Express (120564 - 15471 - 30430 + 17088 + 61225 + 205530)*(0*b**4 - b**4 + 0*b**4) as i*b**4 + g + n*b + k*b**2 + w*b**3 and give i. -358506 Express 248 - 1347 - 9360*y + 9368*y in the form f + b*y and give b. 8 Express (-f + 2*f - 2*f + (1 + 0 + 1)*(-f - 1 + 1) + 2*f + 0 + 0 + (-64 + 17 - 24)*(26*f + 35*f - 2*f))*(0 + 3 - 1) as y + o*f and give o. -8380 Express (-2*d + 5*d + d)*(-3 + 7 + 0 + d)*((3*d + 3*d - 5*d)*(-3 + 2 + 4) + d - d - d) in the form r*d + u + i*d**2 + a*d**3 and give i. 32 Express 19439 - 4*n + 26*n**3 - 18884 - 27*n**3 in the form t*n + l*n**2 + j*n**3 + b and give l. 0 Rearrange 4 - 2681*g + 0 + 0 - 4 to the form b*g + d and give b. -2681 Express (241*p - 112*p + 38*p)*(7 - 21 + 11) in the form i + t*p and give t. -501 Express -246*g - 594*g + 360*g + (0*g + 2*g + 3*g)*(-4 + 2 + 4) as k*g + n and give k. -470 Rearrange -j**3 - 207 - 41*j**4 + 190 + 80*j**4 - 42*j**4 to the form a*j**4 + s*j**2 + c + u*j + y*j**3 and give c. -17 Rearrange -320*i**2 + 63*i**2 + 34*i**3 - 122*i**2 - 3*i**2 - 18*i**3 to u*i**3 + l + t*i**2 + f*i and give u. 16 Rearrange 12*q + 12*q - 45*q - q**2 + 5*q**3 + 16*q to the form w + c*q**2 + u*q**3 + r*q and give u. 5 Express (0 - 1 + 10)*(v**2 - 183*v + 403*v - 175*v + 2) in the form l*v + c + z*v**2 and give c. 18 Rearrange -8*p**4 - p**3 - 24*p**2 + 28*p - 28*p + 22*p**2 to the form o*p**2 + r*p**3 + d*p**4 + h*p + x and give o. -2 Express 19150*g + 3139*g + 20065*g - 9500*g + 1000*g in the form y*g + q and give y. 33854 Rearrange z - 744 + 186 + 1701 + 430 to the form g + y*z and give y. 1 Rearrange (27*l + 6*l**3 - 4*l**3 - 25*l)*(-3458 + 6618 - 3621) to s*l + m*l**3 + b*l**2 + i and give m. -922 Rearrange (19 + 25 + 33)*(2 + 5*p - 2*p + 5*p) to the form v + h*p and give v. 154 Rearrange 157601*d**3 - 3*d**4 - 78858*d**3 - 78973*d**3 + 3*d to c*d**2 + s*d**3 + z*d + b*d**4 + l and give z. 3 Rearrange m**2 - 2*m**2 + 2*m**2 + (-2 + m + 2)*(2040*m - 1007*m + 290*m + 873*m + 1673*m) to the form d*m + k + t*m**2 and give t. 3870 Express ((0*a + 0*a + 2*a)*(4*a - 2*a + 0*a) + (12*a + 4*a + 11*a)*(-6*a + 6*a + 3*a))*(-5 + 4 - 5) in the form k + p*a**2 + v*a and give p. -510 Express (35770 + 35849 + 9772*s - 71617)*(-3*s**3 + 2*s**3 - s**3) as o*s**4 + j*s + y + i*s**2 + v*s**3 and give j. 0 Express -27*b + 11*b**2 + 23*b - 4 + 4*b as z*b + y*b**2 + f and give f. -4 Rea
{ "pile_set_name": "DM Mathematics" }
Does 45 divide x? True Is 25 a factor of 251 + (-2)/(9/((-27)/(-6)))? True Let o(v) = -v**2 - 30*v + 34. Is 38 a factor of o(-29)? False Let q(g) = -g**3 - 8*g**2 + 4*g + 5. Suppose -3*p - 39 = 5*l, 4*p + l + 35 = -0*l. Let t be q(p). Does 7 divide (-537)/t + (-1)/(-9)? False Let p = 376 - 200. Let r = p - 105. Does 14 divide r? False Suppose -4*q - q + 3*w + 3985 = 0, -3*q - 5*w = -2425. Is q a multiple of 30? False Let v(n) = n**2 + 23*n + 44. Does 4 divide v(-22)? False Let u(w) = 48*w**2 - 10*w + 23. Is 43 a factor of u(4)? False Let n = 1854 + -1838. Does 16 divide n? True Suppose -2*p + 100 = -z + 5, -5*z - p - 442 = 0. Let y = z - -231. Is 24 a factor of y? False Is ((711/12)/(-1))/((-9)/180) a multiple of 42? False Suppose l + 2*s - 2 = 0, -2*l - s - 5 = -0. Let x(r) = 2*r - 9. Let z(i) = -2*i + 8. Let m(p) = l*x(p) - 5*z(p). Does 5 divide m(7)? True Let q be -5*((-32)/(-20) - 2). Suppose a - 5*p - 28 = 0, -5*a - q*p + 10 = -p. Suppose k - a*k = -174. Does 29 divide k? True Let p(d) = -d**2 - 16*d + 17. Let c be p(-17). Suppose 0 = 6*n - c - 48. Is n even? True Suppose -z + 4 = -2*z. Let g(y) be the third derivative of y**5/20 + y**4/12 + 29*y**2. Does 10 divide g(z)? True Let v = 76 + 2718. Does 22 divide v? True Suppose -5*f - 3*m + 13 = 0, -3*f + 2*m = -2*f. Let t(v) = v**2 - 5*v - 11. Let j be t(11). Suppose j = f*z - z. Is 19 a factor of z? False Suppose -f = 5*o + 15, 5*o = f - 0*o - 15. Let y be (-1)/(1/1) + f. Is 35 a factor of (1 - y) + -2 - -58? False Let p be -1*1*1 - -112. Let g(m) = -m**2 + 27*m - 67. Let b be g(27). Let i = b + p. Is 22 a factor of i? True Let g(o) = -o**2 - 2*o + 26. Let i be g(0). Suppose -2*u + 2*a - i = 0, a + a = 8. Does 11 divide (-245)/u + (-8)/36? False Let z(l) = -l**3 + 11*l**2 + l + 5. Let f be z(11). Suppose 5*w + 2*b - 43 = f, 2*w - 18 = 2*b. Is w a multiple of 6? False Is 128 a factor of (4608/28)/(13/91)? True Let g(f) = -7*f**3 + f + 2. Let j be g(-1). Suppose -45 = 5*h - j*h. Let i = h + -7. Does 6 divide i? False Let o(k) = 3*k + 15. Let q be o(-5). Suppose 4*g - 1768 = -0*g + 2*m, q = 5*g + 3*m - 2188. Is 17 a factor of ((-8)/(-5))/(16/g)? False Let j = 64 + -16. Suppose j = 5*o + 13. Is 3 a factor of o? False Let o be -1 + 3 + 738/3. Suppose -4*z + o = -0*z. Is 31 a factor of z? True Suppose 10*m - 3565 = 795. Is 9 a factor of m? False Suppose 4*u - 4*t = 13216, 6*u - u - t - 16504 = 0. Does 11 divide u? True Let u = 20 + -15. Suppose 0 = 3*m - u*m + 96. Is m a multiple of 16? True Suppose -5*t - 2*o = 154, -4*o = -4*t + o - 110. Let s = t + 32. Suppose 5*x = w + s*x - 53, 2*w = 4*x + 116. Is 9 a factor of w? False Let s be (4/(-2) - -4) + 11. Let w = 85 - s. Let v = -2 + w. Is 14 a factor of v? True Let y = 11 + -15. Suppose 0 = 5*d + 17 - 127. Is y/d - 112/(-11) a multiple of 5? True Does 20 divide -2 + -2 + -1 - -105? True Suppose i = -3*p - 43, 2*p + 23 - 1 = -2*i. Is 33 a factor of (36/(-10))/(p/440)? True Suppose 7*r = 10*r - g - 570, -r + g + 190 = 0. Is 19 a factor of r? True Suppose 3*d + 0*d + r = 13, d - 5*r - 15 = 0. Let k(x) = 6*x - 2. Let l(s) = -12*s + 5. Let t(n) = -5*k(n) - 3*l(n). Does 25 divide t(d)? True Let y = 354 + -140. Is y a multiple of 42? False Let y(s) = -s**3 - 5*s**2 - 8*s - 14. Suppose 3 - 27 = 4*t. Is 14 a factor of y(t)? True Let s(l) = -4*l - 6. Let y be s(8). Let p be 2 + (-2)/1 + y. Let x = 70 + p. Is x a multiple of 8? True Suppose -5*d - 5*k = -49 - 121, 4*d - 137 = -5*k. Suppose 35*u - d*u - 132 = 0. Is u a multiple of 50? False Is 90 a factor of ((325/10)/(-5))/((-4)/968)? False Let u(g) = g**3 + 8*g**2 - g + 2. Is u(-7) a multiple of 29? True Suppose -3*g + 1320 + 3985 = 5*b, -8854 = -5*g + 4*b. Does 30 divide g? True Let w(l) = l**3 + 13*l**2 + 9*l - 29. Suppose -4*x = -s - 5*x - 8, -3*x + 72 = -5*s. Is w(s) even? False Let p be 126/35 - (-3)/(-5). Suppose 5*r = -p*r + 296. Let v = r - 17. Is 15 a factor of v? False Let u be (-416)/(-6) - 4/(-6). Let t = u + -30. Does 8 divide t? True Let a(w) = -5*w - 4. Suppose -3*h - 1 = -10. Suppose -2*s = h*q + 19, -5*q - 19 = -4*s + s. Does 7 divide a(q)? True Let z = -377 + 641. Is 33 a factor of z? True Let c be -31 - (0 + -3 + 6). Let l = 10 + c. Is 5 a factor of (l/(-20))/((-2)/(-10))? False Let u(k) = -k**3 - 5*k**2 + 7*k + 37. Is 86 a factor of u(-7)? True Let g(r) = r. Let u be (-2)/1 + -3 + 8. Let f be g(u). Suppose 5*l + f*s - 182 - 12 = 0, -8 = 4*s. Is l a multiple of 17? False Let q(h) = -9*h - 8*h + 20*h - 8*h. Let u(m) = 2*m**3 + 4*m**2 + 2*m - 2. Let y be u(-2). Is q(y) a multiple of 23? False Let i(f) be the second derivative of -f**4/4 - 5*f**3/2 - 2*f**2 + 36*f. Is i(-4) a multiple of 4? True Let d = 39 - 25. Suppose -u - q = -1 - 2, 2*u - 3*q + d = 0. Is (u/(-4))/(2/152) a multiple of 2? False Let q be ((-4)/(-5))/((-2)/(-10)). Let c be 21/(-9) - 7305/(-45). Suppose 4*j = c - q. Is 14 a factor of j? False Let a be (-8)/10*(3 - 8). Suppose 5*f - 26 = 4*u, -a = 6*u - 3*u + 4*f. Is 3 a factor of 6/u*(-8 - -2)? True Let u(x) be the third derivative of x**5/30 - x**4/24 + x**3/3 - x**2. Let y be (11 - 14)*(-4)/6. Is 8 a factor of u(y)? True Suppose 0 = 2*p - 5*x + 26, 0*p - 3*x + 15 = -p. Is 39 a factor of p/3 - -3 - -263? False Suppose 4*s = -5*d + 2788, -2*s + 2008 = -4*d + 588. Does 26 divide s? True Suppose -2*o + 49 = 5*c + 5, -2*o - 4 = -c. Is 7 a factor of c? False Suppose 0 = 3*r - 3*w + 12, -r - w = -3 + 11. Let u be (r/(-14))/(1/7). Does 18 divide 27/((-7)/(-2) - u)? True Suppose -1883 = 5*m - 5398. Does 19 divide m? True Let m(r) = -33*r + 78. Is 32 a factor of m(-7)? False Let c = -123 - -129. Suppose 0 = c*m - 7*m + 36. Does 16 divide m? False Let a = -52 + 107. Let s = a + -47. Does 4 divide s? True Let o(j) = 18*j**2 - 6*j - 17. Is 13 a factor of o(-5)? False Let q = 32 + -28. Suppose 2*j - q*j + 250 = 0. Does 27 divide 234/5*j/50? False Let i(g) = -g**3 + 8*g**2 - 6*g - 10. Let z be i(7). Suppose 0*m + 5 = -m. Does 7 divide z/(-15) - 54/m? False Let s(a) be the third derivative of a**6/120 + 7*a**5/60 + 5*a**4/24 + a**3/3 - a**2. Suppose -9*d = -7*d + 5*i + 17, 2*i + 8 = -d. Does 4 divide s(d)? True Let t(r) = -13*r**2 - 5*r + 1. Let d be t(-5). Let x = d - -461. Suppose -5*s = -x - 118. Is 14 a factor of s? True Let v(r) = -r**3 - 36*r**2 - 60*r - 32. Is v(-35) a multiple of 61? False Let z(y) = -4*y - 8. Let j be z(-4). Is ((-52)/(-6) + -2)/(j/36) a multiple of 10? True Suppose 20104 = 4*x - k, -3*x - 4*k = -1493 - 13604. Does 14 divide x? False Let t(z) = -z - 29. Let h be t(-10). Let p = h + 37. Is 13 a factor of p? False Let d(s) be the first derivative of -s**3/3 - 13*s**2/2 - 12*s + 6. Let k = 4 + -15. Is 10 a factor of d(k)? True Let k(w) = -w**3 - w**2 + 3*w + 2. Let l be k(-2). Is 12 a factor of 26 + -2 + 3 + l/(-1)? False Suppose 4*i - 23 = -15. Suppose -i*j = -0 + 6, 0 = 5*d + 5*j - 15. Does 4 divide d? False Let a = -201 - -737. Does 14 divide a? False Suppose 0 = -f - 4*f + 10. Suppose -f*r + 4 = -12. Suppose -6*o = -r*o + 38. Is 4 a factor of o? False Suppose 0*n = -2*y - 2*n - 674, -4*y + n = 1343. Let c be (-4)/(-7)*y/(-32). Is 24 a factor of 27*-4*(-4)/c? True Suppose 0*k - 3*k + 6 = 0. Suppose 349 = k*s + 5*f, 3*s + f - 481 = 2*f. Is 27 a factor of s? True Suppose -18*v - 28*v + 4186 = 0. Is 4 a factor of v? False Suppose 4*p = -5*n + 1487, 0 = -p + n + 109 + 274. Does 21 divide p? True Let y(b) = -b**2 + 5*b + 12. Let k be y(7). Is 13 a factor of (1/2)/(k/(-328)) - 4? True Let i(o) = 188*o - 7. Does 40 divide i(3)? False Let t(c) = -9*c**2 - 2*c + 10. Let z be t(3). Let b = z + 214. Is 22 a factor of b? False Let q(j) = 5*j**2 + 3*j + 11. Let z(i) = -11*i**2 - 5*i - 22. Let f(r) = 5*q(r) + 2*z(r). Is f(-5) a multiple of 20? False Suppose -x = 4*l + 2*x - 4, l - x = 8. Suppose l*s - 50 - 18 = 0. Is s a multiple of 3? False Let l(t) = 2*t**2 - 7*t**2 + 10 - 7*t + 6*t**2 + 0*t**2. Let c be l(-10). Suppose 0 = -v + 6*v - c. Does 18 divide v? True Suppose -278 - 4 = -3*o. Let n = o + -79. Is 9 a factor of n? False Let z(r) = 466*r**2 + 39*r - 75. Does 29 divide z(2)? False Let p(b) = -b + 47. Is 5 a factor of p(12)? True Let y = -339 - -2124. Does 17 divide y? True Let g(c) = -25*c - 257. Does 20 divide g(-15)? False Suppose -5*a = -2*m + 64, -5*a + 20 = 4
{ "pile_set_name": "DM Mathematics" }
y*q**3 and give c. 0 Rearrange 6*y**3 + 8 + 32*y**4 - 6 - 2*y - 30*y**4 to c + v*y**4 + n*y**3 + b*y + o*y**2 and give n. 6 Rearrange -7*j - 10*j - 24*j to the form z + q*j and give q. -41 Rearrange (-9*d**2 + 11*d**2 - 12*d**2)*(-3*d + 2*d + 0*d)*(d - 2 + 2) to a*d**2 + y*d**4 + z*d**3 + j + w*d and give y. 10 Express -8*t**2 - 7*t + 7*t in the form h*t**2 + y*t + n and give h. -8 Express -11 + 45*d**2 + 11 in the form i*d**2 + m*d + t and give i. 45 Rearrange (2 + 5 - 5)*(-3*p**2 + 2*p**4 + 3*p**2) + 8*p**4 + 7 - 7 + 0*p**4 - 3*p**4 + 5*p**4 to the form a*p**2 + s*p**4 + j*p + m + n*p**3 and give s. 14 Rearrange 3*k - 7*k - 11 + 7 - 7*k to r*k + n and give r. -11 Express -11 + 5 + 8 + 2*j in the form n + d*j and give n. 2 Rearrange -a**2 + 6 - 2*a**4 + 3 - 8 - 2*a**3 to g*a + v*a**2 + i + u*a**4 + s*a**3 and give i. 1 Rearrange 4 - 4 - 3*g**3 + (2*g**2 - g**3 - 2*g**2)*(2 + 2 - 5) to d*g + y*g**3 + k*g**2 + m and give y. -2 Rearrange 0*v**2 + 2*v**2 - v**2 + (0*v + 0*v + 2*v)*(3*v - v - 4*v) + 0*v + 0*v + 2*v**2 + v**2 + 5*v**2 - 2*v**2 to b + q*v**2 + g*v and give q. 3 Rearrange 24*y**2 - 9420 - 7*y**2 - y**4 + 9420 + 2*y to m*y**3 + v*y**4 + f + p*y + k*y**2 and give v. -1 Rearrange (5 + 1 - 5 + (-2 + 4 - 3)*(3 - 1 + 0) - 1 + 1 - 2)*(-1 + 3 + 0 + o) to p + g*o and give g. -3 Express (-1 + 1 + b**2)*(-2 - 4 + 5) - 14*b**2 - 14*b**2 + 13*b**2 + b**2 + 1 + 0 - 3*b**2 in the form g*b + n*b**2 + s and give n. -18 Express 3 + 1 + 11*f**2 + 1 - 4 as w*f + l*f**2 + a and give a. 1 Rearrange 6*x**3 + 2 - 3 - x + 13 - 5*x**3 to the form k*x + u*x**3 + b + y*x**2 and give k. -1 Rearrange 9*f**2 - 9*f**2 + f**3 + 20 + 0*f**3 to w*f + r*f**3 + b + u*f**2 and give u. 0 Rearrange -2 + 11*y**3 + 4*y**3 - 2 + 5 to i*y + n*y**2 + x*y**3 + p and give x. 15 Rearrange 48 - 19 - 26 - 19*n to the form c*n + l and give l. 3 Rearrange 4*a**4 + 9*a**4 - 11*a**4 - 2 + 2*a**3 to u*a**4 + f*a + g*a**3 + m + s*a**2 and give m. -2 Rearrange (57 - 2*f - 57)*(-2*f - f + f)*(2 + 0 - 10) to j*f**2 + k + s*f and give j. -32 Rearrange (-32*u + 32*u + 88*u**2)*(0 - 2*u**2 + 0) to r*u**3 + m + g*u + l*u**2 + z*u**4 and give z. -176 Express (2*b**3 - 3 + 3)*(1 - 6 + 1)*(0 + 0 - 1) + (2*b - 2*b - 2*b**2)*(-2 + 2 + 2*b) in the form m*b**2 + p*b + v*b**3 + f and give v. 4 Rearrange -8*b - 3 - 4 + 10*b + 2 to s*b + u and give s. 2 Express (-55 + 17 + 16)*(3*u - 3*u - u) in the form b*u + a and give b. 22 Rearrange (0 - 2 + 4)*(-9*w + 8 - 8) to h + r*w and give r. -18 Rearrange 2*z**2 - 5*z - 4*z + 7*z to w*z + b + y*z**2 and give w. -2 Express -3 + 2*o**2 + 5 + 22*o - 1 - 12*o in the form i*o**2 + m + t*o and give i. 2 Rearrange (-n**2 - 3*n**2 + 5*n**2)*(3 + 0 + 16)*(2 - 1 + 3) to r + u*n + w*n**2 and give w. 76 Express -54*l**2 - 30*l**2 + 46*l**2 in the form r*l**2 + c + b*l and give r. -38 Express -1 + 6*k**4 - 8*k**4 + 2*k**3 - 2*k**2 + 0*k**2 - 2*k**4 in the form b + o*k**3 + n*k**2 + a*k + i*k**4 and give b. -1 Express 2*y**3 + 2*y + 3*y**2 - 4*y**2 - 3*y - 5*y in the form o*y**2 + c + h*y**3 + q*y and give o. -1 Rearrange (-1 + 1 + 2)*(2*o + 2*o - 6*o) - 2*o - 2*o + 7*o + (0 + 1 - 3)*(o + o - 3*o) to the form s*o + x and give s. 1 Express -28 + 28 - 25*l as v + c*l and give c. -25 Rearrange 17*o**3 - 2*o - 3*o**3 + 1 - 1 to the form y*o**2 + j*o**3 + n*o + q and give n. -2 Rearrange -4*q**4 + 2*q**4 + 4*q**4 - 3*q**2 + 5*q**2 - 3*q**3 to j*q**2 + x*q + y*q**3 + w*q**4 + i and give j. 2 Rearrange (u**2 + 12*u**2 + 2*u**2)*(4 - 5 - 3) to the form f + d*u + a*u**2 and give a. -60 Express 14*j**2 - 2*j**4 + 2*j - 31*j**2 - 6*j**3 + 17*j**2 as m*j**3 + c + h*j**2 + g*j**4 + v*j and give g. -2 Express -123*w + 123*w + 23*w**2 in the form p*w + v + x*w**2 and give x. 23 Rearrange -2 + 4*a**4 + 11*a**4 + a + 2*a**3 - 11*a**4 to the form j*a**4 + n*a**2 + m*a + u*a**3 + o and give m. 1 Rearrange -3*z - 6*z - 2*z + z**2 to the form k*z + n*z**2 + v and give n. 1 Express 2*d + d**4 + 2*d**2 - 5*d + 0 + 0 in the form y*d + n*d**3 + l*d**4 + g + j*d**2 and give y. -3 Rearrange -40*j**2 + 3 + 37*j**2 - 1 + j**3 to the form q + g*j**2 + n*j + z*j**3 and give z. 1 Express -7*g + g + g + 6*g as x*g + c and give x. 1 Express 4*c**4 - c**2 - c**3 - 6*c**4 + 3 + 3*c**4 in the form u*c + h*c**3 + w*c**2 + i + g*c**4 and give g. 1 Express 4*y**3 + y**3 - 3*y**3 - y**3 + y**4 + 1 in the form q*y**4 + o*y + m + i*y**3 + t*y**2 and give q. 1 Express (0 - 2 + 3)*(-4 + 5 + 0)*(-27 + 27 - 14*z) in the form m + i*z and give i. -14 Express 3*g**2 + 3*g**2 - 15*g - 4*g**2 - 4*g**2 as a*g + c + f*g**2 and give a. -15 Express (-33*d + 48*d + 6 - 21*d)*(-d - 3 + 3) in the form j*d**2 + u + i*d and give j. 6 Rearrange -35*l + 86*l + 85*l to j*l + v and give j. 136 Express (-4*s + 2*s + 0*s)*(s + 0*s + 0*s)*(9*s**2 - 3*s**2 - s**2) in the form y + a*s + r*s**4 + l*s**2 + p*s**3 and give a. 0 Express (-3*y + 0*y + y)*(-25*y - 42*y + 93*y) in the form d*y + k + s*y**2 and give s. -52 Express (3 - 3 - 1)*(-13*q + 4*q + 3*q + 3) as x*q + k and give k. -3 Express -f**2 - 12 + 16 - 5 in the form j + b*f + u*f**2 and give j. -1 Rearrange -4*b**3 + 0 + 0 + 0*b**2 + b**2 to the form a*b**3 + m + y*b + g*b**2 and give a. -4 Rearrange (1 - 1 - 2)*(-8*q - 6*q - q) to the form z + g*q and give g. 30 Express 111 - 111 - 7*p**2 as m*p**2 + g + c*p and give m. -7 Rearrange 9 - 4 + 10*l**2 - 4 to f*l + o*l**2 + q and give o. 10 Rearrange -29 + 42 + 2*q - 24 - 19 to a*q + w and give w. -30 Rearrange (-3 + 3 - n - 5*n + 2*n + n + (n + n + 0*n)*(3 - 2 - 3) + 3*n - 4*n + 3*n)*(2 - 2*n - 2) to t + w*n + y*n**2 and give w. 0 Rearrange (0*x - x - x)*(-x + 4*x - 2*x) + 0*x**2 + x**2 - 4*x**2 - x**2 - x**2 + 3*x**2 - 2*x**2 + 4*x + 2*x - 5*x to the form k*x**2 + p*x + a and give p. 1 Express -2*g**4 + 82*g**2 - 162*g**2 + 8 + 2*g**3 + 81*g**2 as p*g**2 + l*g**3 + q*g**4 + c + u*g and give q. -2 Express (-2 + 0*x + 3 - 2*x)*(2 - 4 + 1) as h*x + j and give j. -1 Express (2*j - j + j)*(-109*j - 2548 + 2548) as l + c*j + y*j**2 and give y. -218 Rearrange -2 - 4 - 7*r**2 + 12 + (3*r**2 - 2*r**2 - 2*r**2)*(-2 + 3 - 3) + r**2 - 2 + 2 to f*r + m*r**2 + d and give m. -4 Express -42*t**2 + 1 + 25*t**2 + 20*t**2 + 5*t**4 - 3*t**4 as n + s*t + w*t**4 + l*t**2 + k*t**3 and give w. 2 Rearrange -5*n**2 + 10*n**4 - 14*n**4 + 5*n**4 + (-n + 3*n - n)*(0*n**3 - 4*n**3 + 2*n**3) to the form g*n**3 + p*n + t + w*n**4 + o*n**2 and give o. -5 Express -4*b**3 - 24 + 2*b**3 + 0*b**3 + 25 - 5*b in the form y + z*b**2 + l*b + p*b**3 and give l. -5 Express (-6*v**3 + 3*v**3 + 2*v**3)*(-4 - 2 + 3)*(0 + 2 - 1 - 4*v) in the form x*v**4 + m*v**2 + f + i*v**3 + k*v and give x. -12 Rearrange 20*h**4 + 4 - 19*h**4 + h**2 - 5 to the form l*h**4 + d + o*h + a*h**2 + y*h**3 and give l. 1 Rearrange 8*i**4 - 1 + 2*i**2 + 3*i + 8*i**4 - 23*i**4 + 3*i**3 + 6*i**4 to k*i**2 + f + r*i**3 + w*i**4 + q*i and give r. 3 Express r**4 + 2*r**4 - r - 2*r**4 - 5*r**2 + 2 - 2*r**4 in the form a*r**2 + y + o*r**3 + m*r**4 + b*r and give b. -1 Express -22 + 8 - 2*q + 15 + 15*q**3 as r*q + h*q**3 + t*q**2 + i and give r. -2 Express 0 + 53*m - 52*m + 3 + 3*m**2 in the form x*m + k + j*m**2 and give j. 3 Rearrange 3 - 8*z**2 + 6*z**3 - 6*z**3 - 3*z + z**3 + 2*z to o*z**3 + x + h*z**2 + q*z and give x. 3 Express (-2 + 21 + 14 + (3 + 0 - 2)*(-2 + 0 + 3) + 5 - 3 - 3)*(1 - 1 - c) as r*c + g and give r. -33 Express -y**3 - 15*y**2 + 6*y**2 + 7*y**2 + 0*y**2 as a + o*y**2 + g*y**3 + f*y and give o. -2 Rearrange 0*b**4 - 4*b**4 + 2*b**4 + (b**2 - 3*b**2 + b**2)*(-488*b + 488*b - 27*b**2) to i + f*b + s*b**4 + w*b**2 + j*b**3 and give s. 25 Rearrange (4*a - 5*a + 3*a)*(3*a**2 - 6*a**2 + a**2) + 4*a**2 - 8*a**3 - 4*a**2 + (3*a**3 - 5*a**3 + a**3)*(2 - 4 - 2) to z*a**2 + o*a**3 + i + r*a and give o. -8 Express -2 - 2 + 4 + 17*l in the form c + y*l and give y. 17 Express (3*p - 7*p - 6*p)*(-5*p**2 + 0*p**2 + 4*p**2 + (2*p + 0 + 0)*(-4*p - p + 3*p) + 2*p**2 - 1 + 1) as f*p**2 + k*p**3 + j + h*p and give k. 30 Rearrange (0*n - n + 0*n)*(0*n - 2*n + 3*n)*(35*n + 38 - 38) to the form m*n**3 + p*n**2 + f*n + q and give m. -35 Rearrange (1 - 5 + 3)*(-4 + 1 + 2 + g)*(-6*g - g + g) to the form r*g + k*g**2 + w and give k. 6 Rearrange -2*d**2 - 12*d + 7*d + 30*d to y + i*d + x*d**2 and give x. -2 Rearrange
{ "pile_set_name": "DM Mathematics" }
+ 7*o - 11 What is the y'th term of -1596, -1584, -1558, -1512, -1440, -1336, -1194? y**3 + y**2 + 2*y - 1600 What is the v'th term of -442, -1983, -4614, -8335, -13146? -545*v**2 + 94*v + 9 What is the i'th term of -8422, -16846, -25268, -33688, -42106? i**2 - 8427*i + 4 What is the r'th term of -146, -122, -76, -2, 106, 254, 448, 694? r**3 + 5*r**2 + 2*r - 154 What is the r'th term of 98, -53, -742, -2239, -4814, -8737, -14278? -45*r**3 + r**2 + 161*r - 19 What is the u'th term of -51508, -103017, -154526, -206035, -257544? -51509*u + 1 What is the p'th term of -180, -357, -552, -771, -1020, -1305, -1632, -2007? -p**3 - 3*p**2 - 161*p - 15 What is the d'th term of -605, -2292, -5083, -8984, -14001, -20140, -27407, -35808? -d**3 - 546*d**2 - 42*d - 16 What is the v'th term of -1223, -9699, -32697, -77477, -151299, -261423, -415109, -619617? -1210*v**3 - v**2 - 3*v - 9 What is the m'th term of 975, 1404, 1831, 2256? -m**2 + 432*m + 544 What is the b'th term of 326, 668, 1024, 1394, 1778? 7*b**2 + 321*b - 2 What is the v'th term of -1418, -1384, -1340, -1280, -1198, -1088? v**3 - v**2 + 30*v - 1448 What is the u'th term of -177, -204, -251, -318, -405? -10*u**2 + 3*u - 170 What is the k'th term of 3346, 3225, 3108, 2995? 2*k**2 - 127*k + 3471 What is the y'th term of -117, -201, -287, -369, -441, -497, -531, -537? y**3 - 7*y**2 - 70*y - 41 What is the h'th term of 3983, 7962, 11939, 15914, 19887, 23858, 27827? -h**2 + 3982*h + 2 What is the f'th term of -39969, -39974, -39979, -39984? -5*f - 39964 What is the c'th term of 268, 275, 296, 325, 356? -c**3 + 13*c**2 - 25*c + 281 What is the u'th term of -256846, -256795, -256746, -256699, -256654, -256611, -256570? -u**2 + 54*u - 256899 What is the g'th term of -174860, -174869, -174892, -174935, -175004? -g**3 - g**2 + g - 174859 What is the y'th term of -1157, -872, -585, -296, -5, 288? y**2 + 282*y - 1440 What is the y'th term of 3882, 3852, 3788, 3696, 3582? y**3 - 23*y**2 + 32*y + 3872 What is the p'th term of 1080, 1089, 1108, 1143, 1200? p**3 - p**2 + 5*p + 1075 What is the b'th term of -171419, -171409, -171393, -171371, -171343, -171309, -171269? 3*b**2 + b - 171423 What is the j'th term of -1783, -1815, -1869, -1945? -11*j**2 + j - 1773 What is the r'th term of 2384, 2367, 2342, 2309? -4*r**2 - 5*r + 2393 What is the l'th term of -5578, -6283, -6988, -7693, -8398, -9103? -705*l - 4873 What is the a'th term of -924, -3428, -7508, -13158, -20372, -29144? a**3 - 794*a**2 - 129*a - 2 What is the p'th term of 99, 157, 193, 207? -11*p**2 + 91*p + 19 What is the n'th term of 97154, 97155, 97156, 97157, 97158? n + 97153 What is the p'th term of 12732, 25379, 38032, 50691, 63356, 76027, 88704? 3*p**2 + 12638*p + 91 What is the i'th term of -51296, -51294, -51292, -51290, -51288? 2*i - 51298 What is the t'th term of -8, -5, -18, -59, -140, -273? -2*t**3 + 4*t**2 + 5*t - 15 What is the f'th term of -33387, -33392, -33401, -33414, -33431, -33452, -33477? -2*f**2 + f - 33386 What is the f'th term of -393, -214, -37, 138, 311? -f**2 + 182*f - 574 What is the m'th term of -2609653, -2609670, -2609701, -2609752, -2609829? -m**3 - m**2 - 7*m - 2609644 What is the j'th term of -1367, -1320, -1277, -1238, -1203, -1172, -1145? -2*j**2 + 53*j - 1418 What is the t'th term of 5456, 5407, 5332, 5237, 5128? t**3 - 19*t**2 + t + 5473 What is the s'th term of -1009, -1008, -1005, -1000, -993, -984? s**2 - 2*s - 1008 What is the v'th term of 445, 492, 539, 586, 633? 47*v + 398 What is the t'th term of -121683, -243367, -365051, -486735, -608419? -121684*t + 1 What is the c'th term of 113137, 226271, 339405, 452539? 113134*c + 3 What is the m'th term of -2115, -4196, -6279, -8364, -10451, -12540, -14631? -m**2 - 2078*m - 36 What is the y'th term of -91930, -183866, -275802, -367738, -459674? -91936*y + 6 What is the b'th term of -85, -76, -61, -40, -13, 20? 3*b**2 - 88 What is the p'th term of 32, 194, 518, 1046, 1820, 2882, 4274, 6038? 7*p**3 + 39*p**2 - 4*p - 10 What is the j'th term of 31741, 63482, 95225, 126970, 158717? j**2 + 31738*j + 2 What is the j'th term of -5299, -10577, -15855, -21133, -26411? -5278*j - 21 What is the j'th term of -22, -75, -216, -487, -930, -1587, -2500, -3711? -7*j**3 - 2*j**2 + 2*j - 15 What is the v'th term of 36775, 36775, 36777, 36781, 36787, 36795? v**2 - 3*v + 36777 What is the n'th term of -47531, -47540, -47549? -9*n - 47522 What is the k'th term of -361088, -361080, -361066, -361046? 3*k**2 - k - 361090 What is the k'th term of 4539, 4518, 4497, 4476, 4455, 4434? -21*k + 4560 What is the x'th term of 15869, 15861, 15841, 15803, 15741, 15649, 15521? -x**3 - x + 15871 What is the m'th term of -22, 279, 804, 1571, 2598, 3903, 5504, 7419? 3*m**3 + 94*m**2 - 2*m - 117 What is the c'th term of 3665, 14681, 33043, 58751, 91805, 132205, 179951? 3673*c**2 - 3*c - 5 What is the v'th term of 811897, 811913, 811939, 811975, 812021? 5*v**2 + v + 811891 What is the g'th term of 82, 36, -58, -212, -438, -748, -1154, -1668? -2*g**3 - 12*g**2 + 4*g + 92 What is the a'th term of -4656, -4661, -4676, -4707, -4760, -4841? -a**3 + a**2 - a - 4655 What is the c'th term of -18257, -36498, -54739? -18241*c - 16 What is the g'th term of -340633, -681265, -1021897? -340632*g - 1 What is the r'th term of -20589, -20609, -20641, -20685, -20741? -6*r**2 - 2*r - 20581 What is the n'th term of -219, -504, -967, -1596, -2379, -3304, -4359? 2*n**3 - 101*n**2 + 4*n - 124 What is the p'th term of 802854, 802855, 802856, 802857, 802858, 802859? p + 802853 What is the h'th term of 5529, 10783, 16035, 21285, 26533, 31779, 37023? -h**2 + 5257*h + 273 What is the g'th term of 5778, 5899, 6020, 6141, 6262, 6383? 121*g + 5657 What is the m'th term of 970, 953, 930, 901? -3*m**2 - 8*m + 981 What is the f'th term of 788, 790, 792, 794? 2*f + 786 What is the f'th term of 1031, 2418, 3805, 5192? 1387*f - 356 What is the l'th term of 452, 501, 558, 617, 672, 717? -l**3 + 10*l**2 + 26*l + 417 What is the c'th term of -127, -62, 47, 206, 421, 698, 1043? c**3 + 16*c**2 + 10*c - 154 What is the b'th term of -35503, -71010, -106517, -142024, -177531, -213038? -35507*b + 4 What is the j'th term of 2282, 2280, 2284, 2294, 2310? 3*j**2 - 11*j + 2290 What is the u'th term of -1785232, -3570466, -5355700, -7140934, -8926168, -10711402? -1785234*u + 2 What is the d'th term of -3118, -3243, -3400, -3595, -3834, -4123, -4468? -d**3 - 10*d**2 - 88*d - 3019 What is the r'th term of 14, -27, -78, -139, -210, -291, -382? -5*r**2 - 26*r + 45 What is the g'th term of -1177, -1129, -1077, -1021, -961? 2*g**2 + 42*g - 1221 What is the i'th term of -163, -73, 13, 95, 173, 247, 317? -2*i**2 + 96*i - 257 What is the o'th term of 197, 48, -205, -562, -1023, -1588? -52*o**2 + 7*o + 242 What is the y'th term of -4598, -4631, -4662, -4691, -4718, -4743, -4766? y**2 - 36*y - 4563 What is the k'th term of -206, -1861, -6406, -15287, -29950, -51841? -241*k**3 + k**2 + 29*k + 5 What is the p'th term of 443095, 443101, 443111, 443125, 443143? 2*p**2 + 443093 What is the p'th term of 1361, 5363, 12041, 21401, 33449? p**3 + 1332*p**2 - p + 29 What is the h'th term of -274, -495, -718, -943? -h**2 - 218*h - 55 What is the w'th term of -2868, -12358, -28174, -50316, -78784? -3163*w**2 - w + 296 What is the w'th term of -2632, -2683, -2734, -2785? -51*w - 2581 What is the y'th term of 49763, 199055, 447875, 796223, 1244099, 1791503, 2438435? 49764*y**2 - 1 What is the i'th term of -28328, -56657, -84986? -28329*i + 1 What is the x'th term of -182, -461, -842, -1325, -1910? -51*x**2 - 126*x - 5 What is the v'th term of -310, -745, -1470, -2485, -3790? -145*v**2 - 165 What is the r'th term of -85, -139, -161, -151, -109, -35, 71? 16*r**2 - 102*r + 1 What is the l'th term of 22, 59, 144, 295, 530, 867? 3*l**3 + 6*l**2 - 2*l + 15 What is the c'th term of 33716, 33720, 33726, 33734, 33744, 33756, 33770? c**2 + c + 33714 What is the n'th term of 2043, 4059, 6077, 8097, 10119, 12143? n**2 + 2013*n + 29 What is the f'th term of 26655, 26647, 26627, 26589, 26527, 26435? -f**3 - f + 26657 What is the f'th term of -2955, -5799, -8641, -11481, -14319, -17155? f**2 - 2847*f - 109 What is the r'th term of 1029, 2333, 4507, 7551, 11465, 16249, 21903? 435*r**2 - r + 595
{ "pile_set_name": "DM Mathematics" }
. 528*sqrt(19) + 82780 Simplify (sqrt(18) + (sqrt(18) + sqrt(18)*-1)*4 + sqrt(288)*2)/(sqrt(54)/((-3*sqrt(12))/sqrt(2))). -27*sqrt(2) Simplify ((-1*sqrt(693) - sqrt(693) - sqrt(693))/sqrt(11)*5)/(2*(sqrt(900) + -2*sqrt(900) - sqrt(900)) + sqrt(900)). sqrt(7)/2 Simplify sqrt(30)/(sqrt(96) + sqrt(6)) + (sqrt(5) - (sqrt(60)/sqrt(3) - sqrt(5))) + (sqrt(35)/((sqrt(7) - sqrt(112))*-1))**2. sqrt(5)/5 + 5/9 Simplify -2*sqrt(2448) + 0 + (sqrt(17) + sqrt(136)/(sqrt(32)/sqrt(4) + sqrt(8)) - (sqrt(17) + (sqrt(187)/sqrt(44) - sqrt(17))))**2 + 5. -24*sqrt(17) + 22 Simplify (2*(sqrt(125) - (-1 + sqrt(125)))*4*-2)**2*-1. -256 Simplify (sqrt(1377)*-1*2*6 + 3*(sqrt(1377) + -2*sqrt(1377)*4))**2. 1499553 Simplify ((sqrt(33) - (-1*sqrt(3300) - sqrt(3300)))*-4)/(-2*(sqrt(11) - (sqrt(99) - sqrt(99)*-1)/sqrt(9))). -42*sqrt(3) Simplify (-5 + (sqrt(243) - (sqrt(243) + (sqrt(243) - sqrt(243)*5))**2) + sqrt(33)/(sqrt(66)/sqrt(6)))*4. -8768 + 40*sqrt(3) Simplify ((sqrt(112) - 4*1*sqrt(112) - sqrt(112)*-2*4) + (sqrt(112) + sqrt(112) + 1 + 1)*-1)**2. -48*sqrt(7) + 1012 Simplify -1*(1 + sqrt(637) + -2 + sqrt(637) + 2 + sqrt(208) + 1)**2. -4216 - 72*sqrt(13) Simplify (4*sqrt(2448)*1)**2 + 5*(sqrt(2448) - (0 + sqrt(2448)))**2 - 6*(sqrt(2448)*-2 + 0). 144*sqrt(17) + 39168 Simplify (((sqrt(343) - ((sqrt(343) + 1)*-3 - sqrt(343)) - (-4 + -2*sqrt(343))) + (4*(sqrt(343) + -1) - (sqrt(343) + -2*sqrt(343)*-1 - sqrt(343))))*1)**2. 378*sqrt(7) + 27792 Simplify (-2*sqrt(1300) + 4)**2 - (((sqrt(117)*-1)/sqrt(9))**2 - ((sqrt(13) - (2 + sqrt(13))*6) + sqrt(13) + sqrt(13))). -163*sqrt(13) + 5191 Simplify 1 + (sqrt(325)*-2)**2 + (0 + sqrt(325))**2 + 2 + sqrt(325) + (6*(-1 + sqrt(325)))**2 + 6*sqrt(325)*-2. -415*sqrt(13) + 13364 Simplify (sqrt(504) + (sqrt(504) - (sqrt(504) - (sqrt(504) - ((-6*((sqrt(504) - sqrt(504)*-1) + sqrt(504)) - sqrt(504)) + sqrt(504))))))/(4*2*sqrt(2)*-6). -5*sqrt(7)/2 Simplify (sqrt(360)/(sqrt(12) - -4*(sqrt(12)*-3 - sqrt(12))))/(((sqrt(72)*-1 - sqrt(72))/sqrt(12) - sqrt(6))*-4). -sqrt(5)/180 Simplify 4*(sqrt(2)*2*5 + -1 + ((sqrt(10)/sqrt(5) - sqrt(2)) + sqrt(2))**2)*-5*1. -200*sqrt(2) - 20 Simplify (2*sqrt(1280))/((2*sqrt(90))/sqrt(9)). 8*sqrt(2) Simplify (sqrt(112)/(sqrt(32)/sqrt(8)))/(sqrt(4) - ((6*sqrt(4) - sqrt(4)) + sqrt(4))*-5). sqrt(7)/31 Simplify (-5 + 2 + sqrt(176) + -4 + 0 + sqrt(176) + 2)**2. -80*sqrt(11) + 729 Simplify ((sqrt(448) - (sqrt(448) - 5*(sqrt(448) + 1)) - (-4 + sqrt(63)/(-1*sqrt(9))))*-5)**2. 18450*sqrt(7) + 296200 Simplify (4 + (sqrt(176) - (0 + sqrt(176) + 5 + sqrt(176))) + -1*sqrt(176) + 5)**2. -64*sqrt(11) + 720 Simplify (1*sqrt(1125) + sqrt(1125))/((sqrt(126)/sqrt(2))/sqrt(7)) + -3 + -4. -7 + 10*sqrt(5) Simplify (1*sqrt(133)*2*4)/(-3*-2*(sqrt(7) - sqrt(112))). -4*sqrt(19)/9 Simplify (sqrt(20) + sqrt(60)/sqrt(3) + sqrt(45)/(-2*sqrt(9)))**2 - (0 + sqrt(320)*2 + sqrt(320) + sqrt(320))**2. -20235/4 Simplify (0 + 1*(sqrt(833) + sqrt(833) + -2 + -4 - sqrt(833)) + 5)**2 + -5. -14*sqrt(17) + 829 Simplify ((sqrt(384) + 2*sqrt(384) + sqrt(384))*-5)/((sqrt(14)/(-2*sqrt(7)) - sqrt(2))*2). 160*sqrt(3)/3 Simplify -5 + -4 + (sqrt(66)/(sqrt(6)*2 - sqrt(6)) + sqrt(11))**2 + -2. 33 Simplify (-2 + 0 + sqrt(3328) + -2)**2*5. -640*sqrt(13) + 16720 Simplify ((sqrt(440) - (sqrt(440) + ((sqrt(440) - sqrt(440)*-2 - sqrt(440)) + sqrt(440) - sqrt(440))))/sqrt(8)*5)/(sqrt(20)*5 - sqrt(60)/sqrt(48)). -20*sqrt(11)/19 Simplify (2*(sqrt(720) + 2 - sqrt(720)))**2 - (1 + sqrt(720) + 3)**2. -720 - 96*sqrt(5) Simplify (1*5*(sqrt(500)*1 + (sqrt(20) - (sqrt(20) + sqrt(80)) - sqrt(20))/sqrt(4)) + -2)*-6. -210*sqrt(5) + 12 Simplify ((sqrt(114) + (sqrt(114) - (sqrt(114) + sqrt(114) + sqrt(114)*2)*-4))/(-4*sqrt(6)*-4))**2. 1539/64 Simplify ((2*sqrt(627))/sqrt(11))/(sqrt(297)/sqrt(11)) + 3. 2*sqrt(19)/3 + 3 Simplify 6*(5 + (sqrt(228)/sqrt(4))/sqrt(3) - 2*(3*sqrt(2299))**2). -248262 + 6*sqrt(19) Simplify ((-6*1*sqrt(7) - sqrt(7)) + 0 + 2 + (sqrt(84) + (sqrt(84) - sqrt(84)*-1))/sqrt(12))**2. -16*sqrt(7) + 116 Simplify ((2*sqrt(190) + sqrt(190))*-3 + -2*(sqrt(190) + -1*sqrt(190)))/((-5*sqrt(110)*-2)/sqrt(11)). -9*sqrt(19)/10 Simplify -2*sqrt(1377) - (3 + sqrt(34)/sqrt(2)) - sqrt(204)/(sqrt(12)*-2*-5 + sqrt(12)). -210*sqrt(17)/11 - 3 Simplify -4 + (sqrt(5) + -3*sqrt(5) + sqrt(5))*-1 - ((1*sqrt(15) - sqrt(15))/sqrt(3) + sqrt(5) + 2)**2. -13 - 3*sqrt(5) Simplify (-1 + 2 + sqrt(5) + 0)*-4*5. -20*sqrt(5) - 20 Simplify (sqrt(72)*6 - (sqrt(40)/sqrt(5))/sqrt(4)) + (sqrt(22) + sqrt(66)/sqrt(27))/(sqrt(176)*-5). 524*sqrt(2)/15 Simplify 6*(-4*sqrt(112)*-2 - (-4 + (sqrt(112) - (sqrt(112) + -4 + sqrt(112))))). 216*sqrt(7) Simplify ((-4 + sqrt(117)/sqrt(9) - (sqrt(52)/sqrt(4) + 0))*-2)**2. 64 Simplify 6*(sqrt(125) + -5*(sqrt(125) - (sqrt(125) - (sqrt(125) + sqrt(125) + -1))) - sqrt(125))**2 + -4 + -2. -3000*sqrt(5) + 75144 Simplify (sqrt(2268)*3 + 4*sqrt(56)/sqrt(8)*4)**2. 34300 Simplify ((2*(-2*sqrt(21)/sqrt(3) + sqrt(7)))**2 - ((sqrt(448) - (sqrt(448) + 1))**2 + 2 + sqrt(112)))*-1. -25 + 4*sqrt(7) Simplify ((sqrt(3)*1 + -3 + sqrt(3) + -1 + sqrt(108) - (sqrt(15)/(sqrt(5)*-1) + 0))*-5)**2. -1800*sqrt(3) + 6475 Simplify 4*((sqrt(3) - (-2 + sqrt(3) + -3)) + sqrt(3)) + (sqrt(3) - 4*(sqrt(3) + 1)) + (sqrt(3) - (sqrt(3) + -1 + 2 - sqrt(3))). 2*sqrt(3) + 15 Simplify (2*sqrt(133))/sqrt(7) + sqrt(931)*-2 - (((-2*sqrt(209))/sqrt(11) + sqrt(931)*-2)*4)**2. -77824 - 12*sqrt(19) Simplify (1 + (2*sqrt(931) + 4 + sqrt(931) - (-1*(0 + sqrt(931)) - sqrt(931) - sqrt(931) - sqrt(931))))**2. 490*sqrt(19) + 45644 Simplify -5*(-4 + (2*sqrt(128))**2 - sqrt(14)/((sqrt(112)/sqrt(2))/sqrt(8))). -2540 + 5*sqrt(2) Simplify -6*-4*((sqrt(165)/(sqrt(10)/sqrt(2)))/(sqrt(3) + 1*sqrt(75)))**2 + 5. 37/3 Simplify (3*(sqrt(20) + sqrt(100)/sqrt(5)))/(sqrt(360)*4) + -5. -5 + sqrt(2)/4 Simplify (sqrt(704) + 0 + (sqrt(704) + 0 - sqrt(704)) - (3 + 1*sqrt(704)) - (4 + sqrt(275) + 1 + sqrt(275) + -5))**2. 60*sqrt(11) + 1109 Simplify -2 + sqrt(245) + 1 - ((sqrt(125) + 2*sqrt(125))**2 + 3 + sqrt(5) + -1). -1128 + 6*sqrt(5) Simplify (-2*-1*sqrt(130))/(sqrt(10) + sqrt(90)/sqrt(81)). 3*sqrt(13)/2 Simplify (-3*sqrt(216)/sqrt(6))/(1*1*sqrt(3)). -6*sqrt(3) Simplify (((sqrt(300)*-1)**2 - (-1*sqrt(3) + 3)) + (sqrt(198)/(2*sqrt(6) - sqrt(6)))/sqrt(11))*4. 8*sqrt(3) + 1188 Simplify sqrt(38)/(sqrt(24)/sqrt(3)) + (sqrt(76)*2*-4)/sqrt(4). -15*sqrt(19)/2 Simplify ((sqrt(891)*2)**2*-3 + -5)*2. -21394 Simplify (sqrt(57) + (sqrt(684)*-1)/sqrt(12) + (sqrt(57) - ((sqrt(57) - sqrt(57)*-1) + sqrt(57))*-6))/((sqrt(3024) + -2*sqrt(3024))/sqrt(7)). -19*sqrt(19)/12 Simplify (sqrt(343)*-4*-3 - (sqrt(343) + sqrt(343) + 4*sqrt(343) + -3))*-2. -84*sqrt(7) - 6 Simplify (-2*sqrt(70)*-3 - (sqrt(70) + 6*sqrt(70)*2 - sqrt(70)))/((sqrt(160)*4 + sqrt(160))*-2). 3*sqrt(7)/20 Simplify -3*((sqrt(567) - -1*sqrt(567))/(sqrt(729) - -3*sqrt(729)))**2. -7/12 Simplify (sqrt(931) - 5*(sqrt(931) + -2) - (4 + sqrt(931) + -2))**2*-6. -140034 + 3360*sqrt(19) Simplify ((sqrt(363) - (1*sqrt(363) + -5 - sqrt(363)) - 3*(0 + sqrt(363))) + 0)**2*2*-2. -5908 + 880*sqrt(3) Simplify (((sqrt(144)/sqrt(3))/sqrt(4))/(sqrt(4) + sqrt(44)/(sqrt(11)*-4)))**2. 16/3 Simplify (sqrt(187)/(sqrt(22)/sqrt(2)) + 5)**2 - (sqrt(17) - (sqrt(85)/sqrt(5))**2)*4*6. -14*sqrt(17) + 450 Simplify (4*((1 + sqrt(847))*1 + -1*sqrt(847) + 3))**2. 256 Simplify sqrt(847)*4*3*3 + 5. 5 + 396*sqrt(7) Simplify -5 + (sqrt(112)*-3)**2 + sqrt(112) + (sqrt(63) + -1 + -3)**2 + -2. -20*sqrt(7) + 1080 Simplify 5*sqrt(2299)*2 - (((sqrt(342)*-1 + sqrt(342))/sqrt(6))/sqrt(3))**2. 110*sqrt(19) Simplify -2*(sqrt(112)/sqrt(200))/(2*sqrt(288) + sqrt(288)). -sqrt(7)/90 Simplify (5 + (sqrt(176)*3 - sqrt(176))*1 + 3*-2*sqrt(176))**2. -160*sqrt(11) + 2841 Simplify ((-6*sqrt(182)/sqrt(252))/((sqrt(1078)*4 + sqrt(22) + sqrt(22))/sqrt(11)))**2. 13/900 Simplify (-1*sqrt(68))**2 + (0 + sqrt(1700))**2 - (3*1*sqrt(833))**2. -5729 Simplify ((-2*sqrt(156) - sqrt(156))*6 - -1*sqrt(156)*1)/(sqrt(36)/(sqrt(9)/sqrt(3)) - 6*sqrt(36)/sqrt(3)). 17*sqrt(13)/5 Simplify (2*((sqrt(2057) - -2*sqrt(2057)) + 3) + -3 + -1*sqrt(2057)*-3 + sqrt(2057))**2. 660*sqrt(17) + 205709 Simplify 1 + (sqrt(32))**2 + -1*(1 + sqrt(2)) - (2*sqrt(98) + 2). -15*sqrt(2) + 30 Simplify (0 + sqrt(80)*-1)**2 - ((sqrt(80) - (sqrt(80)*1)**2) + 0) - (((-4*(sqrt(80) + 1))**2 - sqrt(80)) + -6*(sqr
{ "pile_set_name": "DM Mathematics" }
1865 is divided by 928? 9 What is the remainder when 340637 is divided by 10? 7 Calculate the remainder when 1243 is divided by 395. 58 What is the remainder when 754 is divided by 328? 98 Calculate the remainder when 2082 is divided by 512. 34 What is the remainder when 19035 is divided by 70? 65 What is the remainder when 2220858 is divided by 10? 8 Calculate the remainder when 20684 is divided by 199. 187 What is the remainder when 11628 is divided by 515? 298 What is the remainder when 51027 is divided by 25460? 107 What is the remainder when 3223 is divided by 293? 0 Calculate the remainder when 1326 is divided by 12. 6 What is the remainder when 1061 is divided by 1049? 12 Calculate the remainder when 16854 is divided by 687. 366 Calculate the remainder when 62499 is divided by 33. 30 What is the remainder when 25190 is divided by 2099? 2 Calculate the remainder when 392641 is divided by 31. 26 Calculate the remainder when 1259 is divided by 307. 31 Calculate the remainder when 1426898 is divided by 326. 322 What is the remainder when 119039 is divided by 81? 50 What is the remainder when 2365 is divided by 384? 61 What is the remainder when 5499 is divided by 220? 219 Calculate the remainder when 410289 is divided by 783. 780 What is the remainder when 162738 is divided by 57? 3 What is the remainder when 338595 is divided by 65? 10 What is the remainder when 405654 is divided by 67608? 6 Calculate the remainder when 2487 is divided by 89. 84 Calculate the remainder when 682092 is divided by 16. 12 Calculate the remainder when 32680 is divided by 277. 271 What is the remainder when 6692 is divided by 204? 164 What is the remainder when 343537 is divided by 119? 103 What is the remainder when 92854 is divided by 1522? 12 Calculate the remainder when 14328 is divided by 34. 14 Calculate the remainder when 1437224 is divided by 251. 249 What is the remainder when 25930 is divided by 2737? 1297 What is the remainder when 1674574 is divided by 7? 6 Calculate the remainder when 12214 is divided by 524. 162 What is the remainder when 37785 is divided by 165? 0 Calculate the remainder when 10639 is divided by 10610. 29 Calculate the remainder when 115439 is divided by 69. 2 Calculate the remainder when 99 is divided by 37. 25 Calculate the remainder when 1146235 is divided by 286555. 15 Calculate the remainder when 240066 is divided by 14. 8 Calculate the remainder when 189540 is divided by 123. 120 What is the remainder when 36071 is divided by 496? 359 Calculate the remainder when 14712 is divided by 2096. 40 Calculate the remainder when 74295 is divided by 288. 279 Calculate the remainder when 63982 is divided by 311. 227 Calculate the remainder when 30070 is divided by 1762. 116 What is the remainder when 822 is divided by 11? 8 What is the remainder when 30867 is divided by 7702? 59 What is the remainder when 2561 is divided by 1242? 77 What is the remainder when 6156 is divided by 23? 15 What is the remainder when 13564 is divided by 13490? 74 What is the remainder when 780065 is divided by 260004? 53 Calculate the remainder when 23730 is divided by 349. 347 Calculate the remainder when 34698 is divided by 89. 77 Calculate the remainder when 4542 is divided by 1452. 186 What is the remainder when 82657 is divided by 27550? 7 Calculate the remainder when 8513 is divided by 4252. 9 Calculate the remainder when 2567 is divided by 2479. 88 Calculate the remainder when 12125 is divided by 24. 5 What is the remainder when 532768 is divided by 568? 552 What is the remainder when 1337 is divided by 611? 115 What is the remainder when 1508098 is divided by 660? 658 Calculate the remainder when 35792 is divided by 50. 42 Calculate the remainder when 1372 is divided by 14. 0 Calculate the remainder when 8218 is divided by 257. 251 What is the remainder when 613 is divided by 311? 302 Calculate the remainder when 1147 is divided by 173. 109 Calculate the remainder when 308322 is divided by 203. 168 What is the remainder when 60845 is divided by 2? 1 Calculate the remainder when 2121 is divided by 528. 9 What is the remainder when 11376 is divided by 36? 0 Calculate the remainder when 110212 is divided by 38. 12 Calculate the remainder when 594538 is divided by 88. 10 Calculate the remainder when 697474 is divided by 34. 32 Calculate the remainder when 5103422 is divided by 823. 822 Calculate the remainder when 1662777 is divided by 37. 34 Calculate the remainder when 21612 is divided by 77. 52 What is the remainder when 168910 is divided by 207? 205 What is the remainder when 125342 is divided by 41779? 5 Calculate the remainder when 27384 is divided by 51. 48 What is the remainder when 37992 is divided by 775? 17 What is the remainder when 15889 is divided by 1441? 38 What is the remainder when 753 is divided by 176? 49 What is the remainder when 17177 is divided by 245? 27 What is the remainder when 1310974 is divided by 144? 142 Calculate the remainder when 123 is divided by 38. 9 What is the remainder when 19380 is divided by 7? 4 Calculate the remainder when 13574 is divided by 6766. 42 Calculate the remainder when 34707 is divided by 69. 0 What is the remainder when 42556 is divided by 116? 100 Calculate the remainder when 6934 is divided by 495. 4 What is the remainder when 80073 is divided by 26678? 39 Calculate the remainder when 2189 is divided by 3. 2 Calculate the remainder when 11157 is divided by 869. 729 Calculate the remainder when 3659 is divided by 211. 72 What is the remainder when 21582 is divided by 119? 43 What is the remainder when 188222 is divided by 188210? 12 What is the remainder when 3239 is divided by 458? 33 Calculate the remainder when 44421 is divided by 36. 33 What is the remainder when 163553 is divided by 235? 228 What is the remainder when 468 is divided by 71? 42 What is the remainder when 5280 is divided by 74? 26 Calculate the remainder when 3938 is divided by 46. 28 What is the remainder when 332847 is divided by 175? 172 What is the remainder when 517 is divided by 485? 32 Calculate the remainder when 147577 is divided by 94. 91 Calculate the remainder when 474519 is divided by 52724. 3 What is the remainder when 2554 is divided by 36? 34 What is the remainder when 18572 is divided by 4643? 0 What is the remainder when 44430 is divided by 219? 192 What is the remainder when 907 is divided by 146? 31 What is the remainder when 136377 is divided by 436? 345 What is the remainder when 1235 is divided by 293? 63 Calculate the remainder when 9415 is divided by 1371. 1189 What is the remainder when 1741 is divided by 198? 157 What is the remainder when 64901 is divided by 484? 45 Calculate the remainder when 102250 is divided by 1328. 1322 What is the remainder when 19719 is divided by 19681? 38 What is the remainder when 536 is divided by 39? 29 Calculate the remainder when 20873 is divided by 6914. 131 What is the remainder when 322503 is divided by 443? 442 What is the remainder when 515 is divided by 156? 47 What is the remainder when 359631 is divided by 133? 132 What is the remainder when 2750 is divided by 1326? 98 Calculate the remainder when 51929 is divided by 6486. 41 What is the remainder when 468767 is divided by 32? 31 What is the remainder when 21170 is divided by 543? 536 Calculate the remainder when 3208 is divided by 2882. 326 Calculate the remainder when 1959 is divided by 949. 61 Calculate the remainder when 8480 is divided by 2053. 268 Calculate the remainder when 20062 is divided by 161. 98 What is the remainder when 39302 is divided by 29? 7 What is the remainder when 11403 is divided by 3600? 603 What is the remainder when 6170 is divided by 416? 346 Calculate the remainder when 25316 is divided by 666. 8 Calculate the remainder when 2491 is divided by 55. 16 What is the remainder when 7361 is divided by 753? 584 What is the remainder when 17617 is divided by 2513? 26 What is the remainder when 2438 is divided by 472? 78 What is the remainder when 10814 is divided by 29? 26 What is the remainder when 48485 is divided by 199? 128 Calculate the remainder when 902550 is divided by 27. 21 What is the remainder when 134898 is divided by 44953? 39 What is the remainder when 2903 is divided by
{ "pile_set_name": "DM Mathematics" }
ng 4 d? 0 Calculate prob of picking 3 b when three letters picked without replacement from jjjjbjbjjjjbbjjjjj. 1/204 Three letters picked without replacement from drrrrdrhhh. Give prob of picking 2 h and 1 r. 1/8 Three letters picked without replacement from {m: 3, k: 4, i: 1, b: 3}. Give prob of picking 3 k. 4/165 Two letters picked without replacement from {z: 1, x: 1, k: 5, l: 4, j: 3}. What is prob of picking 1 k and 1 l? 20/91 What is prob of picking 1 v, 1 q, and 1 s when three letters picked without replacement from {z: 2, h: 7, v: 1, q: 2, s: 4, e: 1}? 1/85 Three letters picked without replacement from {k: 3, f: 7, m: 1, b: 2, a: 4}. Give prob of picking 1 b and 2 m. 0 Two letters picked without replacement from {i: 2, j: 2, n: 1, e: 4, g: 1}. What is prob of picking 1 n and 1 i? 2/45 Four letters picked without replacement from vvvmmvmvmv. Give prob of picking 3 m and 1 v. 4/35 Four letters picked without replacement from {h: 9, v: 9}. Give prob of picking 3 v and 1 h. 21/85 Four letters picked without replacement from {a: 7, y: 6}. Give prob of picking 3 a and 1 y. 42/143 Calculate prob of picking 3 r when three letters picked without replacement from {p: 3, d: 1, r: 3, o: 2, j: 1}. 1/120 Four letters picked without replacement from unnnqrnuooqooouu. Give prob of picking 2 u, 1 r, and 1 q. 3/455 What is prob of picking 1 g and 1 d when two letters picked without replacement from toqoootgd? 1/36 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, p: 2}. 1/6 What is prob of picking 1 h, 2 w, and 1 c when four letters picked without replacement from {c: 2, h: 4, w: 5}? 8/33 What is prob of picking 1 p and 1 v when two letters picked without replacement from fdddvdxdjpddxf? 1/91 Two letters picked without replacement from {l: 2, m: 1, d: 1, x: 4, w: 2}. Give prob of picking 1 w and 1 d. 2/45 Two letters picked without replacement from {n: 4, h: 4, w: 3}. Give prob of picking 1 h and 1 w. 12/55 Four letters picked without replacement from ckqqqqqtqttqtqkqqqkt. What is prob of picking 3 k and 1 c? 1/4845 What is prob of picking 1 x, 1 r, and 1 d when three letters picked without replacement from xnrlexlexelllxd? 4/455 Calculate prob of picking 1 e, 1 u, and 2 p when four letters picked without replacement from {e: 4, p: 5, u: 7}. 2/13 Two letters picked without replacement from dmmyydydyyymmy. Give prob of picking 2 y. 3/13 What is prob of picking 1 j and 2 r when three letters picked without replacement from rrddddjdddrddrlrddd? 10/969 Calculate prob of picking 4 c when four letters picked without replacement from iicccccccciccc. 30/91 What is prob of picking 1 p and 1 j when two letters picked without replacement from ppjpjpppjppp? 9/22 What is prob of picking 2 d when two letters picked without replacement from {d: 10, i: 9}? 5/19 What is prob of picking 2 x and 2 u when four letters picked without replacement from {a: 1, v: 5, n: 1, x: 1, u: 4}? 0 Four letters picked without replacement from {b: 7}. Give prob of picking 4 b. 1 Calculate prob of picking 2 h and 1 n when three letters picked without replacement from ahanhhhaah. 1/12 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from icnneinnneiee. 10/39 Two letters picked without replacement from hzhwqwjqqbbw. What is prob of picking 1 b and 1 q? 1/11 Calculate prob of picking 3 a when three letters picked without replacement from {a: 8, e: 2}. 7/15 What is prob of picking 1 d, 1 e, and 1 n when three letters picked without replacement from dwenwhwhnxwd? 1/55 Calculate prob of picking 1 d and 2 u when three letters picked without replacement from uuuuuuuuuuduuuuuuuuu. 3/20 Calculate prob of picking 3 d when three letters picked without replacement from deedededdd. 1/6 Three letters picked without replacement from jukve. Give prob of picking 1 j, 1 u, and 1 e. 1/10 Two letters picked without replacement from twwwtw. What is prob of picking 2 t? 1/15 Calculate prob of picking 2 e when two letters picked without replacement from eeuuuuue. 3/28 Two letters picked without replacement from {r: 7, m: 6, d: 1, k: 2, y: 2}. Give prob of picking 1 d and 1 r. 7/153 Three letters picked without replacement from hxiighiyrhyr. Give prob of picking 1 y, 1 i, and 1 r. 3/55 Two letters picked without replacement from gccljzplclgzlzg. Give prob of picking 1 l and 1 g. 4/35 Two letters picked without replacement from {j: 7, k: 1, d: 2, e: 6, a: 3}. Give prob of picking 2 a. 1/57 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from xssususwixxwqsu. 2/35 Three letters picked without replacement from huhsuuukas. What is prob of picking 2 s and 1 k? 1/120 Calculate prob of picking 1 w and 1 t when two letters picked without replacement from wwdltddtddwwwwtldt. 8/51 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {e: 4, h: 1, w: 2, a: 2, i: 3}. 1/11 Two letters picked without replacement from {r: 13, c: 6}. What is prob of picking 2 r? 26/57 What is prob of picking 1 v, 1 b, and 2 a when four letters picked without replacement from vaavwbvv? 2/35 Four letters picked without replacement from hhhhhohhohhohooh. What is prob of picking 1 h and 3 o? 11/182 Calculate prob of picking 2 d and 2 m when four letters picked without replacement from mmdddddsdddddd. 5/91 Two letters picked without replacement from dvrxdr. Give prob of picking 1 v and 1 r. 2/15 What is prob of picking 1 g and 2 e when three letters picked without replacement from eegegsg? 9/35 Two letters picked without replacement from {i: 3, a: 1, o: 6, b: 2}. What is prob of picking 1 o and 1 b? 2/11 Three letters picked without replacement from {e: 1, r: 1, f: 2, l: 3, h: 1, v: 5}. Give prob of picking 1 f and 2 r. 0 Two letters picked without replacement from {i: 3, p: 10, c: 2}. What is prob of picking 2 c? 1/105 Four letters picked without replacement from bebbbebebzzzizkebkib. What is prob of picking 2 k, 1 i, and 1 e? 8/4845 Four letters picked without replacement from uuxxuftxrxzzuz. Give prob of picking 1 t and 3 x. 4/1001 Two letters picked without replacement from {o: 1, b: 1, k: 1, a: 1, f: 2, n: 1}. What is prob of picking 1 k and 1 o? 1/21 Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {l: 3, q: 6, t: 1, o: 7}. 3/68 Two letters picked without replacement from ztidtdt. Give prob of picking 1 i and 1 t. 1/7 Calculate prob of picking 1 z and 2 w when three letters picked without replacement from zzcwzczczzcrzczmmccz. 0 What is prob of picking 3 k when three letters picked without replacement from kxxkxxxxxkxxkkkk? 1/16 Four letters picked without replacement from {v: 1, a: 2, r: 4}. What is prob of picking 1 v, 2 r, and 1 a? 12/35 Two letters picked without replacement from cfwowukc. Give prob of picking 1 o and 1 c. 1/14 What is prob of picking 2 b and 2 l when four letters picked without replacement from {b: 8, q: 2, t: 2, l: 2, w: 1}? 4/195 What is prob of picking 1 n, 1 v, and 1 k when three letters picked without replacement from {v: 3, k: 1, q: 4, n: 2, x: 1}? 2/55 Two letters picked without replacement from {s: 4, d: 5, m: 3}. Give prob of picking 1 m and 1 d. 5/22 Four letters picked without replacement from {f: 2, g: 1, x: 1, a: 1}. What is prob of picking 2 f, 1 a, and 1 g? 1/5 Three letters picked without replacement from dnfdndnddiddn. What is prob of picking 3 d? 35/286 Four letters picked without replacement from rdddrrdrdrdrdrdd. What is prob of picking 4 r? 1/52 Two letters picked without replacement from unnffmz. What is prob of picking 1 z and 1 f? 2/21 Three letters picked without replacement from dldqqdv. Give prob of picking 1 l and 2 q. 1/35 Four letters picked without replacement from bffbyfrfffbffbf. What is prob of picking 4 b? 1/1365 Two letters picked without replacement from {c: 5, g: 11}. What is prob of picking 1 g and 1 c? 11/24 Four letters picked without replacement from {m: 4, g: 10}. What is prob of picking 1 m and 3 g? 480/1001 Three letters picked without replacement from {q: 1, s: 1, p: 2, c: 1, h: 2, u: 1}. Give prob of picking 2 h and 1 p. 1/28 What is prob of picking 3 n and 1 e when four letters picked without replaceme
{ "pile_set_name": "DM Mathematics" }
2 Calculate the common denominator of 115/1716 and 49/5. 8580 What is the smallest common multiple of 994 and 22? 10934 What is the common denominator of 93/22 and -35/9034? 99374 Calculate the least common multiple of 10 and 1094. 5470 What is the smallest common multiple of 2622 and 16? 20976 Calculate the smallest common multiple of 1550 and 62. 1550 What is the lowest common multiple of 2268 and 2268? 2268 What is the least common multiple of 323 and 136? 2584 Find the common denominator of 103/10 and -81/1424. 7120 Calculate the least common multiple of 31 and 4. 124 Calculate the least common multiple of 273 and 26. 546 What is the common denominator of 17/99 and -151/1368? 15048 What is the smallest common multiple of 628 and 314? 628 Calculate the smallest common multiple of 48 and 8. 48 Calculate the lowest common multiple of 39 and 39. 39 Calculate the common denominator of 9/644 and -137/252. 5796 Calculate the lowest common multiple of 312 and 32. 1248 What is the common denominator of 17/11142 and -1/8? 44568 Calculate the least common multiple of 111 and 148. 444 What is the smallest common multiple of 12 and 2606? 15636 Find the common denominator of -71/578 and 107/12. 3468 Calculate the smallest common multiple of 1350 and 10. 1350 What is the least common multiple of 1344 and 60? 6720 What is the smallest common multiple of 357 and 56? 2856 What is the common denominator of 39/10058 and -81/20? 100580 What is the common denominator of 62/603 and -28/135? 9045 What is the common denominator of 139/870 and 59/638? 9570 Calculate the lowest common multiple of 52 and 240. 3120 Calculate the lowest common multiple of 10 and 16014. 80070 Find the common denominator of 34/35 and -37/35. 35 What is the common denominator of -17/9 and -103/168? 504 What is the common denominator of 83/4402 and -59/2? 4402 Calculate the least common multiple of 78 and 12. 156 Find the common denominator of -47/10 and -99/20950. 20950 Calculate the smallest common multiple of 80 and 24. 240 What is the common denominator of 89/102 and 79/357? 714 What is the least common multiple of 4 and 1150? 2300 Find the common denominator of -3/104 and 137/468. 936 Calculate the common denominator of -131/534 and -55/12. 1068 Calculate the lowest common multiple of 770 and 154. 770 What is the smallest common multiple of 9 and 121? 1089 Find the common denominator of -79/3470 and -49/3. 10410 What is the common denominator of 50/91 and 81/416? 2912 What is the common denominator of -65/976 and 49/18? 8784 What is the lowest common multiple of 222 and 114? 4218 What is the common denominator of 115/3102 and 65/18? 9306 Calculate the smallest common multiple of 713 and 184. 5704 Find the common denominator of -85/36 and 17/32. 288 What is the common denominator of -49/36 and -41/1928? 17352 Calculate the smallest common multiple of 327 and 436. 1308 Find the common denominator of 54/5 and -46/205. 205 What is the smallest common multiple of 72 and 36? 72 Find the common denominator of 71/60 and -145/66. 660 Find the common denominator of 59/5931 and -25/1318. 11862 Find the common denominator of 67/8 and -35/22. 88 Find the common denominator of -81/22 and 52/33. 66 Find the common denominator of 39/2 and 55/186. 186 What is the common denominator of -25/24 and 25/66? 264 What is the common denominator of 8/5 and 109/22? 110 Calculate the common denominator of -113/1026 and -131/180. 10260 What is the smallest common multiple of 22 and 1130? 12430 What is the smallest common multiple of 177 and 78? 4602 Find the common denominator of 95/2 and 103/1650. 1650 Find the common denominator of -16/15 and -37/861. 4305 Calculate the common denominator of 79/246 and 49/64. 7872 Find the common denominator of -21/4 and -173/240. 240 What is the common denominator of -47/5 and -93/2030? 2030 What is the common denominator of 48/35 and 9/91? 455 What is the common denominator of -19/55 and 38/121? 605 What is the lowest common multiple of 8 and 676? 1352 What is the common denominator of -89/45 and -93/1840? 16560 What is the common denominator of -101/164 and 15/4? 164 What is the common denominator of 45/242 and -31/110? 1210 What is the least common multiple of 16 and 5832? 11664 Find the common denominator of -125/18 and -35/344. 3096 What is the common denominator of -137/18 and 47/15174? 15174 What is the least common multiple of 270 and 30? 270 What is the smallest common multiple of 30 and 417? 4170 Find the common denominator of 103/1850 and -28/925. 1850 What is the common denominator of 139/18 and 87/248? 2232 Calculate the least common multiple of 45 and 75. 225 Calculate the smallest common multiple of 11 and 2820. 31020 Calculate the lowest common multiple of 24 and 20. 120 Calculate the common denominator of -95/8 and -91/80. 80 Calculate the common denominator of 113/10 and -139/360. 360 Find the common denominator of 8/55 and -31/30. 330 What is the common denominator of 55/2384 and 17/4? 2384 Calculate the least common multiple of 60 and 150. 300 Find the common denominator of 29/25 and 4/435. 2175 Calculate the lowest common multiple of 7220 and 722. 7220 Calculate the common denominator of 43/16 and -37/734. 5872 Calculate the common denominator of -71/3370 and 21/8. 13480 What is the smallest common multiple of 266 and 77? 2926 Calculate the lowest common multiple of 4 and 514. 1028 Calculate the common denominator of 45/304 and -41/1168. 22192 Calculate the smallest common multiple of 168 and 504. 504 Calculate the least common multiple of 605 and 1430. 15730 Calculate the common denominator of -131/24 and 49/36. 72 Calculate the common denominator of -141/140 and -43/140. 140 Find the common denominator of 81/56 and 55/7. 56 What is the least common multiple of 108 and 81? 324 Calculate the common denominator of 91/4 and -143/864. 864 Calculate the lowest common multiple of 1432 and 52. 18616 Find the common denominator of -36/11 and 75/26. 286 Calculate the least common multiple of 30 and 198. 990 Calculate the smallest common multiple of 1260 and 2016. 10080 Calculate the smallest common multiple of 7 and 79. 553 Find the common denominator of 81/4 and -36/311. 1244 Calculate the common denominator of 137/294 and -157/882. 882 Calculate the common denominator of -34/741 and 21/152. 5928 Calculate the lowest common multiple of 10 and 8705. 17410 What is the common denominator of -23/72 and 7/36? 72 What is the smallest common multiple of 480 and 1? 480 What is the common denominator of 89/20 and 5/136? 680 What is the smallest common multiple of 14 and 2396? 16772 What is the least common multiple of 9 and 165? 495 Find the common denominator of -143/456 and 85/16. 912 Find the common denominator of 137/438 and 37/54. 3942 What is the least common multiple of 272 and 102? 816 What is the lowest common multiple of 2 and 2962? 2962 Calculate the common denominator of 59/504 and -1/20. 2520 Calculate the common denominator of -119/12 and -41/135. 540 Find the common denominator of 50/87 and 52/261. 261 What is the common denominator of 3/154 and -137/2730? 30030 What is the common denominator of -79/80 and 119/310? 2480 Calculate the common denominator of 13/360 and 109/40. 360 Find the common denominator of 43/650 and -93/350. 4550 Calculate the smallest common multiple of 10 and 6. 30 Find the common denominator of 75/22 and 43/1464. 16104 Find the common denominator of -87/20 and -97/926. 9260 Calculate the lowest common multiple of 42 and 18. 126 Calculate the smallest common multiple of 1536 and 120. 7680 Calculate the least common multiple of 35 and 7. 35 What is the least common multiple of 528 and 1056? 1056 Calculate the lowest common multiple of 840 and 12. 840 Calculate the least common multiple of 9 and 34. 306 Calculate the common denominator of 1/18 and 64/1557. 3114 Calculate the least common multiple of 101 and 808. 808 Calculate the common denominator of -2/297 and -32/21. 2079 Find the common denominator of -103/4644 and 47/1376. 37152 Calculate the least common multiple of 123 and 328. 984 Find the common denominator of 47/14 and 69/68. 476 What is the lowest common multiple of 60 and 114? 1140 What is the smallest common multiple of
{ "pile_set_name": "DM Mathematics" }
1125? 9 Calculate the highest common factor of 31 and 16213. 31 Calculate the highest common divisor of 3 and 19. 1 What is the highest common factor of 2 and 18? 2 What is the greatest common divisor of 228 and 48? 12 What is the highest common divisor of 30 and 105? 15 What is the greatest common factor of 102 and 36924? 102 What is the greatest common factor of 260 and 220? 20 What is the highest common factor of 36 and 156? 12 What is the greatest common divisor of 2726 and 58? 58 What is the greatest common factor of 246 and 328? 82 Calculate the greatest common divisor of 473 and 344. 43 Calculate the greatest common factor of 979 and 11. 11 What is the greatest common factor of 16 and 1888? 16 What is the highest common divisor of 270 and 80? 10 Calculate the greatest common factor of 305 and 20435. 305 What is the greatest common divisor of 2875 and 23? 23 What is the greatest common factor of 18580 and 5? 5 Calculate the highest common divisor of 57 and 19. 19 Calculate the highest common divisor of 550 and 450. 50 What is the greatest common divisor of 7866 and 18? 18 What is the highest common divisor of 56 and 420? 28 What is the highest common divisor of 98 and 7? 7 Calculate the greatest common divisor of 1235 and 1755. 65 Calculate the greatest common divisor of 4544 and 576. 64 What is the highest common divisor of 56 and 7364? 28 Calculate the greatest common factor of 380 and 76. 76 What is the greatest common factor of 143 and 407? 11 Calculate the greatest common factor of 600 and 120. 120 Calculate the greatest common factor of 759 and 66. 33 Calculate the greatest common divisor of 318 and 10282. 106 Calculate the highest common factor of 16 and 5. 1 Calculate the highest common factor of 464 and 1508. 116 Calculate the highest common factor of 99 and 572. 11 Calculate the greatest common divisor of 370 and 18685. 185 What is the highest common divisor of 6 and 666? 6 Calculate the greatest common factor of 3104 and 679. 97 Calculate the greatest common factor of 36 and 9. 9 What is the highest common factor of 1148 and 2? 2 What is the highest common divisor of 1008 and 6174? 126 Calculate the highest common divisor of 6375 and 68. 17 What is the greatest common factor of 494 and 684? 38 What is the highest common divisor of 150 and 20? 10 What is the greatest common divisor of 5335 and 385? 55 Calculate the greatest common factor of 105 and 110. 5 What is the highest common factor of 5285 and 210? 35 Calculate the greatest common factor of 2047 and 23. 23 What is the greatest common factor of 684 and 2964? 228 Calculate the greatest common factor of 4 and 548. 4 Calculate the greatest common divisor of 240 and 336. 48 What is the greatest common divisor of 357 and 51? 51 Calculate the highest common factor of 244 and 1159. 61 Calculate the highest common divisor of 86 and 2494. 86 What is the greatest common factor of 266 and 4123? 133 Calculate the greatest common factor of 70 and 2110. 10 What is the greatest common factor of 1989 and 91? 13 What is the greatest common factor of 4182 and 408? 102 What is the greatest common factor of 30656 and 24? 8 What is the greatest common factor of 95 and 76? 19 What is the greatest common factor of 6309 and 18? 9 What is the greatest common divisor of 132 and 348? 12 What is the greatest common divisor of 96 and 24? 24 Calculate the greatest common factor of 172 and 1376. 172 What is the highest common factor of 1875 and 75? 75 Calculate the highest common factor of 2 and 27. 1 What is the highest common factor of 36 and 81? 9 Calculate the highest common divisor of 18 and 10. 2 What is the greatest common divisor of 15 and 245? 5 What is the highest common divisor of 68 and 2261? 17 Calculate the greatest common factor of 30 and 90. 30 Calculate the greatest common factor of 1758 and 6. 6 Calculate the highest common factor of 110 and 130. 10 What is the highest common divisor of 132 and 1320? 132 What is the greatest common factor of 2175 and 375? 75 Calculate the greatest common factor of 896 and 497. 7 What is the highest common factor of 484 and 44? 44 What is the greatest common divisor of 104 and 1742? 26 Calculate the highest common factor of 1807 and 13. 13 Calculate the greatest common divisor of 288 and 1944. 72 What is the highest common divisor of 45 and 360? 45 Calculate the highest common divisor of 52 and 19799. 13 Calculate the highest common factor of 388 and 7081. 97 What is the greatest common divisor of 884 and 468? 52 Calculate the greatest common divisor of 15 and 501. 3 Calculate the greatest common divisor of 32 and 976. 16 What is the highest common factor of 42 and 8806? 14 Calculate the highest common factor of 1275 and 170. 85 Calculate the greatest common divisor of 6198 and 6. 6 What is the highest common factor of 51 and 323? 17 What is the greatest common divisor of 17 and 47617? 17 Calculate the highest common divisor of 230 and 966. 46 What is the highest common factor of 7 and 63? 7 What is the greatest common divisor of 48 and 11808? 48 What is the highest common factor of 2 and 86? 2 Calculate the highest common factor of 400 and 75. 25 Calculate the greatest common factor of 1600 and 300. 100 Calculate the highest common factor of 178 and 4. 2 Calculate the highest common factor of 245 and 5075. 35 What is the highest common divisor of 1612 and 208? 52 What is the greatest common divisor of 126 and 28? 14 Calculate the highest common divisor of 26 and 78. 26 Calculate the greatest common factor of 11 and 1331. 11 Calculate the highest common factor of 18 and 810. 18 What is the highest common factor of 192 and 12? 12 Calculate the greatest common factor of 592 and 37. 37 Calculate the highest common divisor of 26773 and 82. 41 Calculate the highest common factor of 85 and 8993. 17 What is the highest common factor of 30 and 25? 5 Calculate the highest common factor of 5 and 205. 5 Calculate the highest common factor of 19750 and 500. 250 Calculate the highest common factor of 264 and 968. 88 What is the greatest common factor of 1914 and 6960? 174 Calculate the greatest common divisor of 205 and 45. 5 Calculate the highest common factor of 266 and 152. 38 Calculate the highest common divisor of 27 and 999. 27 Calculate the highest common divisor of 56 and 6412. 28 What is the greatest common divisor of 60 and 645? 15 Calculate the highest common factor of 330 and 12375. 165 Calculate the highest common divisor of 10419 and 69. 69 What is the greatest common factor of 13 and 117? 13 Calculate the highest common divisor of 22672 and 624. 208 What is the greatest common divisor of 55 and 22? 11 Calculate the greatest common divisor of 4394 and 130. 26 Calculate the greatest common divisor of 2419 and 123. 41 What is the greatest common divisor of 10688 and 64? 64 Calculate the highest common factor of 266 and 646. 38 What is the highest common factor of 432 and 24? 24 What is the highest common divisor of 54 and 45? 9 What is the greatest common divisor of 27525 and 50? 25 Calculate the greatest common divisor of 98 and 70. 14 What is the greatest common divisor of 5 and 240? 5 Calculate the greatest common divisor of 12 and 444. 12 What is the highest common divisor of 4 and 898? 2 Calculate the highest common factor of 7412 and 68. 68 What is the greatest common divisor of 234 and 1209? 39 What is the highest common divisor of 2 and 138? 2 What is the highest common factor of 638 and 290? 58 What is the greatest common factor of 410 and 10? 10 What is the highest common factor of 1013 and 3? 1 What is the greatest common factor of 390 and 1650? 30 Calculate the highest common factor of 2814 and 536. 134 Calculate the highest common divisor of 60 and 420. 60 What is the greatest common divisor of 1179 and 9? 9 Calculate the highest common divisor of 3 and 177. 3 Calculate the highest common divisor of 62 and 3751. 31 Calculate the greatest common divisor of 5 and 56585. 5 What is the highest common divisor of 42 and 336? 42 What is the greatest common divisor of 2674 and 42? 14 Calculate the highest common divisor of 136218 and 438. 438 What is the greatest common divisor of 816 and 32? 16 What is the greatest common divisor of 663 and
{ "pile_set_name": "DM Mathematics" }
493 Rearrange -112 + 0*g**2 - 255 - 186 + 2*g**2 to the form i + w*g + a*g**2 and give i. -553 Rearrange 231*p**3 + 56358 - 56361 + 55*p**3 to v*p**2 + g + m*p + t*p**3 and give g. -3 Express (-2 - 3 - 5 + (-13 - 15 + 10)*(2 - 25 + 13))*(-3 + 2 + 3)*(2 - 4 - 1)*(-4*i + 4*i - 2*i**2) in the form d*i + w*i**2 + t and give w. 2040 Rearrange 5364*c**2 - 5362*c**2 + 434*c + 3*c**3 - 4*c**3 + 0*c**3 to f + d*c**3 + k*c**2 + p*c and give p. 434 Rearrange 51*m**3 - 11*m**2 - 61*m**3 - 62*m**4 - 2 + 60*m**4 + 3*m**2 to n*m**3 + u*m**2 + k + l*m + h*m**4 and give u. -8 Rearrange -8*d + 2*d**3 + 0*d**3 - 116*d**2 + 9 + 116*d**2 + 6*d - 44*d**4 to the form h*d**4 + i + b*d + l*d**2 + p*d**3 and give i. 9 Rearrange (0*j**2 + j**2 + 0*j**2)*(1 + 0 + 1 + 0 + 1 + 1 + (3 + 0 - 1)*(0 - 2 + 0) + 4 - 3 - 3 - 3 - 1 + 2 - 572 - 541 - 32) to m*j**2 + w + k*j and give m. -1149 Express -16 + 16 + 9*d**2 + 3*d**2 - 54*d**3 + 7*d**2 as a*d + s*d**3 + r + i*d**2 and give s. -54 Express 0*f - 1 + 24*f**4 - 75*f**4 + 12*f**3 + 29*f**4 - f**2 + 24*f**4 - 2*f as c*f**4 + k*f + u + t*f**2 + s*f**3 and give c. 2 Express -925*v + 107*v + 288*v in the form z*v + w and give z. -530 Rearrange (-15*y**2 - 270*y + 270*y)*(3*y + 0*y - 4*y) - 227521*y**2 + 227521*y**2 + 652*y**3 to p*y**3 + i + c*y + x*y**2 and give p. 667 Rearrange -21 - 92*f**3 - 80*f**3 + 256*f**3 - 2*f**2 - 85*f**3 - f + 2*f to i*f + a + b*f**3 + h*f**2 and give b. -1 Rearrange (-1 + 2 - 3)*(1 + 2 + 1)*(-6*s + 77 - 77)*(-1 + 2 + 0) + 6*s + 7*s - 6*s to the form t + j*s and give j. 55 Rearrange -n**3 - 146*n**2 - 2*n + 61*n**2 + 50*n**2 + 53*n**2 + 17 to the form t*n**3 + w + r*n + q*n**2 and give w. 17 Rearrange 2*o**2 - 19 + 19 + (-13 - 12 + 18)*(0*o + o + 0*o)*(-5 + 0 + 3)*(0 - 4 + 3)*(o - 4*o + 9*o) to the form l*o + q + y*o**2 and give y. -82 Rearrange 3*f**3 - 2*f - 4150*f**4 + 2 - f**2 + 8280*f**4 - 4147*f**4 - 3 to n*f**2 + h*f + l + q*f**4 + t*f**3 and give t. 3 Express 17871*o**2 + 3884*o**2 - 5808 + 5808 in the form n*o**2 + g*o + v and give n. 21755 Express h**4 - 3*h + 10 + 10 - 10 - 15*h**4 + 4 in the form w*h**2 + v*h**3 + c*h**4 + b + a*h and give c. -14 Express (0*u**4 + 2*u**4 - 4*u**4)*(-165 - 40 + 43) - 10*u**4 - 6*u + 6*u - 2*u**3 - u**4 + 5*u**4 - 2*u**4 as q*u**3 + t + p*u**4 + g*u**2 + z*u and give q. -2 Express -25*i + 14 - 4*i**2 + 2*i**2 + 22*i - 4 + 2*i**3 as c + r*i**3 + x*i + q*i**2 and give x. -3 Rearrange 664*d - 147*d + 775*d + (0*d + 5*d - 4*d)*(2 + 0 - 3) - 5*d + 1 - 1 to n + x*d and give n. 0 Express 1565 - 28*a**2 - 2*a - 3126 + 1563 - a**3 as b*a**3 + t*a + j*a**2 + y and give t. -2 Rearrange -2*i**3 - 2*i**3 + 5*i**3 + (2*i**2 + 2 - 2)*(i - 2*i + 2*i + 1 + (-3 + 4 - 3)*(-4578*i - 2792*i - 931*i)) to c*i + q*i**3 + z + v*i**2 and give z. 0 Rearrange t + 3*t**3 + t**2 - 2*t**4 + 4*t**4 - 11490 + 11477 to the form r*t**2 + b*t**3 + o*t**4 + u*t + a and give b. 3 Express (653*b - 1479*b - 7270*b)*(2*b - b - 2*b) in the form f*b + z + n*b**2 and give n. 8096 Express (32 - 2 + 2)*(-45*n**2 + 3*n**2 + 8*n**2)*(0*n - 4*n + 3*n) as v*n + c*n**2 + m + l*n**3 and give l. 1088 Rearrange (-15*b - 4*b + 2*b)*(35*b - 79*b + 82*b)*(3 - 6 - 1) to the form r + s*b + n*b**2 and give n. 2584 Rearrange (-8*a + 15 - 4*a - 13)*(189*a**3 + 37*a**2 - 37*a**2) to b + w*a**3 + g*a**4 + f*a**2 + o*a and give g. -2268 Rearrange 61 - 62 - 20*g**2 - 287*g**3 - 2*g**4 + g + 18*g**2 to d*g**2 + p + c*g**3 + y*g**4 + r*g and give p. -1 Express -494 - 496 - 492 + 1482 + 30277*t as q + l*t and give l. 30277 Express -1 + 6*b - 5*b**4 + 4*b**2 - 212657*b**3 + 20*b**4 + 212657*b**3 as p*b**2 + y*b**4 + h*b + g*b**3 + z and give h. 6 Rearrange -1417*m - 1416*m + 3016*m to l*m + q and give l. 183 Rearrange 212*k + 200*k - 24*k**2 + 199*k + 237*k**2 - 624*k to i + f*k**2 + q*k and give f. 213 Rearrange -194*b**4 - 66*b**2 + 195*b**4 + 2*b**3 + 1 - 2 to l*b**2 + f + n*b + h*b**3 + q*b**4 and give l. -66 Express -147*c - 89*c + 31 + 17 - 5 + 172*c in the form k*c + y and give y. 43 Express -232 + 369 - 137 - 6249*q in the form l + d*q and give d. -6249 Express 5378 + 3*q**2 + q**4 - q**3 - 2692 - 2696 as y*q**2 + i*q + f + a*q**4 + k*q**3 and give f. -10 Rearrange 61 - r**2 - 74*r**3 - 37*r**3 + 98*r**3 + r to the form j*r**3 + l + b*r + h*r**2 and give h. -1 Rearrange 4*r**3 - 762*r - 4*r**2 - 944*r + 2 + 1844*r to p*r**2 + k*r**3 + q*r + y and give q. 138 Rearrange (-3*a + 2*a**2 + 3*a)*(-60 - 36*a + 30 + 62) to i + y*a**3 + b*a + z*a**2 and give z. 64 Rearrange x**2 - 13617 - 5*x + 13614 - x**4 - 3*x**2 to b + o*x + r*x**3 + m*x**2 + d*x**4 and give m. -2 Rearrange -u**4 - 6*u - 290*u**3 + 287*u**3 + 22*u + 2*u + 4 - 6 to the form i*u**2 + q + b*u + x*u**4 + l*u**3 and give b. 18 Express -4*y**4 + y**4 + 4*y**4 - 80*y**2 - 4 + 72*y**2 in the form q*y**3 + t + g*y + a*y**2 + l*y**4 and give l. 1 Express -32*d**3 + 61*d**3 - d**2 - 31*d**3 + 11*d - 13*d + 35*d**4 - 1 - 6 as z*d**4 + r*d**3 + a*d**2 + h*d + j and give j. -7 Express 70*t + 70*t + 60*t - 198*t - 14*t**3 + 18 + 4*t**2 in the form o*t**2 + q*t + s + h*t**3 and give o. 4 Express (1 + 4 - 6)*(-4 - 4 + 6 + (3 - 1 - 3)*(0 - 1 + 0))*(-19 - 65*o + 19)*(-4*o + 5*o + 1 + o) in the form n*o + z*o**2 + u and give z. -130 Rearrange -41*l - 59*l - 52*l + 166*l - 145 to the form c + r*l and give c. -145 Express 18*j**4 - 33 + 10*j**3 - 19*j**4 + 2*j**2 + 36 - 5*j**3 in the form x*j + c*j**2 + u*j**4 + q*j**3 + z and give u. -1 Express (147*c**4 - 98*c**4 - 83*c**4)*(235 - 400 - 277) as r + y*c**3 + i*c + a*c**4 + n*c**2 and give i. 0 Rearrange 6*u - 6*u + 21*u**3 + (-5*u**2 - 4*u + 3*u**2 + 7*u**2)*(-u - 2 + 2) to k + j*u + m*u**2 + f*u**3 and give m. 4 Express (-4*u + 4*u + 5*u)*(4292*u - 2018*u - 1657*u) as w*u + k + m*u**2 and give m. 3085 Express 3 - 1 - 3*y**3 + 41*y**4 - 41*y**4 - 312*y - 2*y**4 + 2*y**2 as c*y**4 + n + k*y**2 + i*y**3 + z*y and give z. -312 Rearrange 13*z - 16 - 11*z - 242 to o*z + q and give o. 2 Rearrange (22500 + 8974 + 27778 + 2876 + 7199)*(-2*t + 0*t + 4*t) to the form b + x*t and give x. 138654 Express 74 - s**3 - 9*s + 94 - 169 - 350*s**2 as w + u*s + a*s**2 + t*s**3 and give w. -1 Express -30 - 22*r + 6 - 349*r**2 + 25*r - 45 + 340*r**2 in the form s + m*r + x*r**2 and give x. -9 Rearrange 14*l**4 - 4*l**3 + 136 - 49178388*l + 2*l**3 + 49178388*l to the form h*l**2 + q*l + n*l**4 + v*l**3 + t and give v. -2 Rearrange -7*i**3 + 2*i**4 - i - 4*i**2 + 0*i**2 - 11*i**3 + i**2 - 3*i**4 to the form t*i + s*i**2 + y*i**4 + x*i**3 + z and give s. -3 Rearrange -h**3 - h**2 - 153 + 281*h - 98*h - 94*h - 89*h to the form i + o*h + d*h**2 + c*h**3 and give d. -1 Express 215 + 38516*b + 3*b**2 - 2*b**3 + 3*b**4 - 38518*b + 3*b**3 as z*b + x + v*b**2 + i*b**4 + j*b**3 and give i. 3 Express 5*c - 2*c - 1872*c**3 + 1081*c**3 + 1122*c**3 as m + u*c + d*c**2 + v*c**3 and give v. 331 Express 1734*s - 3118*s - 7854*s + (-2*s - 2*s + 6*s)*(-3 + 6 + 0) in the form i*s + d and give i. -9232 Rearrange -32*o + 82 - 82 + 2*o - 3*o - o - 10*o + 6*o - 11*o - 4*o + 4*o + o - 3*o + o + o + (1 + o - 1)*(0 + 0 - 1) to h + y*o and give y. -50 Rearrange 295*x**2 + 276*x**2 + 275*x**2 - 9*x - 840*x**2 + 29 to the form v*x + q*x**2 + o and give v. -9 Express 79251*y**3 - 21 - 20*y + 5*y + 2*y**2 - 6*y - 79252*y**3 - y**4 as q*y + p*y**4 + g*y**3 + i + m*y**2 and give g. -1 Express ((1 + 1 - 3)*(2 - 2*z - 2) - 3019 + 3019 + 912*z)*(3*z + z - 2*z) as s + q*z + a*z**2 and give a. 1828 Rearrange 5*t**2 + 841026 - t**3 - 32*t**2 + 4*t**3 - 841026 - 2*t to y*t**3 + x + k*t + o*t**2 and give o. -27 Rearrange -44*g + 44*g - 9*g**3 + 6*g - 6*g - 320*g**3 + (g**2 + g**2 - g**2)*(g + 2*g + 0*g) to the form r + f*g**2 + q*g**3 + n*g and give q. -326 Rearrange (5 + w - 5)*(194 + 85 - 50) + (-2*w + 2*w - 6*w)*(4 - 1 - 1) to the form s*w + x and give s. 217 Rearrange 2613*m**2 - 2624*m**2 - 131 + 41 to p + b*m**2 + v*m and give p. -90 Rearrange -8026*f + 26521*f - 12817*f to the form b*f + h and give b. 5678 Express 77*a**2 - 35*a**2 + 1 - 31*a**2 - 42*a**2 - 2*a**3 - 12*a**4 - 24*a**2 as g*a**4 + p*a**2 + w*a**3 + b*a + t and give t. 1 Express 2898*r - 156 + 94 + 62 in the form b + y*r and give b. 0 Rearrange 2*z + 5 + 660*z**2 - 3 - 452*z**2 - z**4 - 380*z**2 to v*z**3 + i + j*z**4
{ "pile_set_name": "DM Mathematics" }
516827000 How many grams are there in 7/2 of a kilogram? 3500 Convert 53.75414 nanometers to centimeters. 0.000005375414 How many nanometers are there in twenty-one quarters of a micrometer? 5250 What is 19.34956 millimeters in micrometers? 19349.56 How many milligrams are there in one quarter of a gram? 250 What is 6/5 of a minute in milliseconds? 72000 What is 75815.04 kilograms in micrograms? 75815040000000 Convert 8700.206 millimeters to nanometers. 8700206000 Convert 0.7758949 years to millennia. 0.0007758949 What is 43/4 of a milligram in micrograms? 10750 Convert 988.8554 years to millennia. 0.9888554 Convert 6.243714 centuries to decades. 62.43714 What is 45/4 of a kilogram in grams? 11250 How many micrograms are there in 87174.97kg? 87174970000000 How many months are there in 63.32278 centuries? 75987.336 What is three tenths of a micrometer in nanometers? 300 How many decades are there in 5504.095 centuries? 55040.95 What is seventeen halves of a litre in millilitres? 8500 What is twenty-one quarters of a litre in millilitres? 5250 How many minutes are there in three sixteenths of a week? 1890 How many meters are there in 0.9059063cm? 0.009059063 What is 570572.4 millilitres in litres? 570.5724 How many grams are there in thirteen quarters of a kilogram? 3250 How many years are there in fifty-one fifths of a century? 1020 How many nanometers are there in 1/4 of a micrometer? 250 What is fifty-two fifths of a litre in millilitres? 10400 What is 13/8 of a millennium in years? 1625 How many millilitres are there in 3/5 of a litre? 600 What is 639.227cm in meters? 6.39227 What is 72/5 of a decade in years? 144 How many minutes are there in 77.39687 hours? 4643.8122 What is 17/4 of a gram in milligrams? 4250 Convert 0.1307057kg to tonnes. 0.0001307057 Convert 59.1351 millilitres to litres. 0.0591351 What is fifteen quarters of a litre in millilitres? 3750 Convert 448858.3 nanometers to meters. 0.0004488583 What is 7/8 of a millennium in years? 875 What is fifty-three quarters of a millennium in years? 13250 How many millilitres are there in one fifth of a litre? 200 How many centuries are there in 0.7411926 decades? 0.07411926 How many kilograms are there in 79/2 of a tonne? 39500 How many days are there in 70.61398 weeks? 494.29786 What is 2.317464 nanograms in tonnes? 0.000000000000002317464 How many micrometers are there in fifteen quarters of a millimeter? 3750 What is 17/2 of a millennium in decades? 850 Convert 734.51ug to nanograms. 734510 What is eleven eighths of a day in minutes? 1980 What is one fifteenth of a minute in milliseconds? 4000 What is 275987.8nm in meters? 0.0002759878 What is 2/125 of a millennium in months? 192 Convert 19773.05 kilograms to milligrams. 19773050000 What is 72/5 of a kilometer in meters? 14400 How many years are there in 2.459277 months? 0.20493975 How many meters are there in 12/25 of a kilometer? 480 How many years are there in thirty-two fifths of a decade? 64 What is seventeen halves of a meter in millimeters? 8500 Convert 0.2647651ml to litres. 0.0002647651 What is 924.3027 grams in kilograms? 0.9243027 How many hours are there in 2303.2548 microseconds? 0.000000639793 What is 3/10 of a decade in years? 3 Convert 11.086458 months to centuries. 0.009238715 How many decades are there in thirty-three fifths of a century? 66 Convert 0.2209062 litres to millilitres. 220.9062 How many days are there in 22526.9991ns? 0.00000000026072915625 How many decades are there in thirteen fifths of a century? 26 How many nanograms are there in 0.5988043mg? 598804.3 What is 17/4 of a kilometer in meters? 4250 What is fourty-nine sixths of a day in hours? 196 How many meters are there in five quarters of a kilometer? 1250 Convert 88.34528 milliseconds to seconds. 0.08834528 How many hours are there in twenty-one halves of a week? 1764 How many centimeters are there in 6/25 of a kilometer? 24000 What is 980307.6 millennia in years? 980307600 What is eleven eighths of a kilogram in grams? 1375 What is 5/8 of a litre in millilitres? 625 How many nanograms are there in fourty-nine fifths of a microgram? 9800 How many minutes are there in 2/15 of a day? 192 How many millilitres are there in 7267.355 litres? 7267355 What is 0.1594011ns in microseconds? 0.0001594011 What is 0.4023107 kilograms in tonnes? 0.0004023107 What is fifty-four fifths of a millennium in centuries? 108 How many millilitres are there in seven quarters of a litre? 1750 How many kilograms are there in 5/4 of a tonne? 1250 What is one sixteenth of a day in minutes? 90 What is eleven eighths of a kilogram in grams? 1375 How many nanograms are there in 9/10 of a microgram? 900 How many nanograms are there in 789.081t? 789081000000000000 What is 1/4 of a tonne in kilograms? 250 How many micrometers are there in 57/5 of a millimeter? 11400 What is 6/25 of a litre in millilitres? 240 How many millilitres are there in 7/4 of a litre? 1750 What is 1/5 of a milligram in micrograms? 200 How many micrometers are there in 97988.97mm? 97988970 How many millimeters are there in 9190.789m? 9190789 How many micrograms are there in 41/2 of a milligram? 20500 How many millennia are there in 279.552 months? 0.023296 Convert 0.4066191 nanoseconds to seconds. 0.0000000004066191 How many milligrams are there in 592022.7 micrograms? 592.0227 How many millennia are there in 51365.61 decades? 513.6561 What is 3/25 of a micrometer in nanometers? 120 How many millilitres are there in 3/10 of a litre? 300 What is twenty-five quarters of a decade in months? 750 Convert 943.5123 decades to months. 113221.476 How many months are there in one twentieth of a millennium? 600 What is 11/8 of a micrometer in nanometers? 1375 What is 7.247792ng in tonnes? 0.000000000000007247792 What is three tenths of a gram in milligrams? 300 What is 683.054ns in microseconds? 0.683054 What is 0.3032732nm in centimeters? 0.00000003032732 Convert 349.661 centimeters to meters. 3.49661 How many milligrams are there in fourty-three halves of a gram? 21500 What is 2871.56l in millilitres? 2871560 What is 5/4 of a meter in millimeters? 1250 What is one tenth of a centimeter in millimeters? 1 How many milligrams are there in 2/125 of a kilogram? 16000 How many minutes are there in thirteen fifths of a day? 3744 What is 70.34862 millilitres in litres? 0.07034862 What is twenty-nine halves of a microgram in nanograms? 14500 How many micrometers are there in one sixteenth of a meter? 62500 What is 182.515km in micrometers? 182515000000 What is 1/4 of a microgram in nanograms? 250 Convert 88.03097km to micrometers. 88030970000 How many micrograms are there in three tenths of a milligram? 300 How many nanometers are there in 9.46292 millimeters? 9462920 How many years are there in nine tenths of a millennium? 900 How many kilograms are there in 37/5 of a tonne? 7400 What is 253409.8 nanoseconds in seconds? 0.0002534098 How many seconds are there in 21/5 of a minute? 252 Convert 27.42208kg to nanograms. 27422080000000 How many centimeters are there in 2330.596 kilometers? 233059600 What is 1/9 of a hour in seconds? 400 How many micrometers are there in 7/2 of a centimeter? 35000 How many nanograms are there in 978843.1g? 978843100000000 How many millilitres are there in one quarter of a litre? 250 How many millimeters are there in 0.9739929cm? 9.739929 How many grams are there in three fifths of a kilogram? 600 How many milliseconds are there in 403704.9 microseconds? 403.7049 How many minutes are there in 26.627409 milliseconds? 0.00044379015 Convert 45956.38 centuries to millennia. 4595.638 How many centimeters are there in eleven quarters of a meter? 275 What is five eighths of a centimeter in micrometers? 6250 How many millilitres are there in 926888.6l? 926888600 What is 1678.70346 hours in weeks? 9.9922825 What is eleven quarters of a litre in millilitres? 2750 How many years are there in one tenth of a millennium? 100 How many kilometers are there in 81243.17 nanometers? 0.00000008124317 Convert 0.6980826 nanograms to kilograms. 0.0000000000006980826 What is 3731.264 litres in millilitres? 3731264 What is 377843.5km in centimeters? 37784350000 What is one twentieth of a litre in millilitres? 50 What i
{ "pile_set_name": "DM Mathematics" }
+ 2044*u(w). Calculate q(y(g)). -730*g**2 Let p(c) = -4 + 1 + c**2 + 3. Let w be -2 + 1 - (-3 - (43 + 0)). Let j(k) = -3*k**2 + 97 - w - 52. Determine j(p(x)). -3*x**4 Let m(i) = i**2 + 30*i - 6. Let j(d) = 3*d**2 + 35*d - 7. Let v(u) = 6*j(u) - 7*m(u). Let l(n) = -26*n**2 - 1. What is l(v(w))? -3146*w**4 - 1 Let r(p) = -550*p + 37*p - 81*p - 338*p + 90*p. Let o(u) = u**2. Give r(o(c)). -842*c**2 Let g(u) = -18814757*u. Let v(l) = 23*l - 1. What is g(v(x))? -432739411*x + 18814757 Let j(x) be the third derivative of -x**4/12 - 42744*x**2. Let y(m) = -8*m**2 - 9*m**2 - 93*m**2. What is j(y(i))? 220*i**2 Let x(m) be the second derivative of 2*m + 0*m**2 + 0 + 1/12*m**4 + 0*m**3. Let r(n) = n + 233973 - 233973. Calculate r(x(q)). q**2 Let u(m) = 24*m. Let j(o) = -2*o**2 + 8. Let s(d) = -4*d**2 + 15. Let p(l) = -5*j(l) + 2*s(l). Let t(k) be the first derivative of p(k). What is u(t(q))? 96*q Let m(y) = -6*y**2. Let t(r) be the first derivative of 107*r**2 + 233. Give t(m(h)). -1284*h**2 Let k(y) = -44*y**2 - 5*y - 5. Let p(s) = 39*s**2 + 4*s + 4. Let n(h) = 4*k(h) + 5*p(h). Let v(c) = 192*c**2. What is n(v(o))? 700416*o**4 Let r(d) = 1242*d**2. Let i(f) = 4*f + 8*f - 9*f - 5*f. Determine i(r(n)). -2484*n**2 Let h(s) = 15*s**2 + 202*s. Let z(g) = -26*g + 308. Determine z(h(i)). -390*i**2 - 5252*i + 308 Let m(x) = -29*x. Suppose -4*u - 1476 = -4*z, -8*z + 7*z + 384 = 4*u. Let k(g) = 186*g + 10*g**2 - z*g + 186*g. What is k(m(r))? 8410*r**2 Let c(a) = -5*a**2. Let r(u) = -2*u**2 - 2*u. Let x(o) = -33*o**2 - 30*o + 51. Let v(q) = 15*r(q) - x(q). Calculate v(c(j)). 75*j**4 - 51 Let t(z) be the second derivative of 103*z**4/4 + 3587*z. Let i(w) = 3*w. Give t(i(b)). 2781*b**2 Let r(a) be the second derivative of -19*a + 0 + 0*a**3 + 0*a**2 - 1/12*a**4. Let p(c) be the third derivative of c**5/5 - 184*c**2. Determine p(r(l)). 12*l**4 Let b(l) = 193692379*l**2. Let v(u) = 2*u. What is b(v(m))? 774769516*m**2 Let o(y) = -4*y**2. Let b = -126 + 148. Let r(a) = -21*a**2 + b*a**2 - 4*a - 3*a**2 + 2*a. Calculate o(r(l)). -16*l**4 - 32*l**3 - 16*l**2 Let m(f) = -178*f**2 + 406*f**2 + 80 - 80 - 199*f**2. Let c(r) = -2*r + 34. Calculate c(m(b)). -58*b**2 + 34 Let d(u) = u. Let p(r) = 16*r + 4. Let c(n) = 180*n + 132. Let o(x) = -c(x) + 11*p(x). What is o(d(z))? -4*z - 88 Let b(l) = 80*l - 1. Let z(m) = 383267*m. Give z(b(h)). 30661360*h - 383267 Let a(g) = -8*g. Let c(m) = 31523578*m. Give a(c(o)). -252188624*o Let q(v) be the second derivative of 1/3*v**3 + 8*v + 0 + 0*v**2. Let j(k) = -12*k**2 - 4*k**2 - 19*k**2. Determine q(j(y)). -70*y**2 Suppose 24 = 3*v - 3*m - 0*m, -4*v + 26 = -m. Let k(w) = 3*w - 47 - v*w + 47. Let b(x) be the second derivative of x**3/2 - x. Calculate k(b(d)). -9*d Suppose -10 = -l - 3*d + 5, 8 = 2*d. Suppose -t + j + 28 = 0, l*j + 2*j + 36 = t. Let p(z) = 27*z - 13 - 13 + t. Let h(x) = 2*x**2. Determine p(h(k)). 54*k**2 Let t(q) = -4*q**2. Let n(r) = 4206*r - 307. Let z be n(13). Let x(c) = z*c + 5 - 5 - 54375*c. What is x(t(y))? 16*y**2 Let z(x) = 3*x**2 + 37196. Let p(k) = 1212*k**2. Give z(p(t)). 4406832*t**4 + 37196 Let i(u) = 2*u**2. Let f(v) be the first derivative of 1150*v**2 + 2048. Determine f(i(x)). 4600*x**2 Let z(a) = -15*a. Let o(c) = c**3 + 25*c**2 + 65*c - 13. Let n be o(-22). Let y(u) = -13*u + 43*u - n*u - 19*u. Calculate z(y(q)). -30*q Let m(y) = -y**2. Let d(a) = -2*a**2 + 26*a + 281 + 2*a**2 + 21*a**2 + 9*a**2. Let f(s) = 14*s**2 + 12*s + 140. Let j(q) = 6*d(q) - 13*f(q). What is m(j(z))? -4*z**4 - 536*z**2 - 17956 Let u(h) = -11*h**2 + 2*h - 27. Let d(n) = 2121*n. What is u(d(a))? -49485051*a**2 + 4242*a - 27 Let c(t) = 19*t**2 - 78*t. Let v(k) = 3*k**2 - 12*k. Let u(o) = -4*c(o) + 26*v(o). Let m(y) = 102*y**2 - 4*y. Give m(u(z)). 408*z**4 - 8*z**2 Let o(x) = 6*x**2 - 2*x**2 - x**2 - x**2. Let l(i) be the third derivative of -i**5/6 - 229*i**2 + 3*i. Give l(o(g)). -40*g**4 Let s(q) = 6*q**2. Suppose -4*u - 2*j = -104, 2*j - 3*j = -3*u + 83. Suppose 0 = -u*w + 26*w. Let v(o) = -10*o + 2*o**2 + 10*o + w*o**2. Calculate s(v(t)). 24*t**4 Let v(m) be the third derivative of -m**4/8 + 28*m**2 + 193. Let d(t) = -6*t**2 + 27*t + 1. Calculate d(v(g)). -54*g**2 - 81*g + 1 Let x(n) = -8*n. Let z(y) = -5*y + 14. Let w be (-7)/21 - 124/6. Let m(r) = -2. Let j(s) = w*m(s) - 3*z(s). Determine x(j(g)). -120*g Let a(p) be the third derivative of -p**8/3360 - 13*p**5/12 + 111*p**2. Let b(i) be the third derivative of a(i). Let d(v) = -33*v. Determine b(d(u)). -6534*u**2 Let h(q) = 24*q**2. Let s(a) = -9501429*a. Give s(h(r)). -228034296*r**2 Let r(g) be the third derivative of 3*g**5/2 + g**4/12 + 1607*g**2 - 1. Let p(u) = -10*u**2. Determine r(p(x)). 9000*x**4 - 20*x**2 Let z(b) = 19*b**2 - 47*b**2 - 63*b**2. Let k(q) = 3*q - 49. Let l(f) = -16*f + 245. Let o(c) = 5*k(c) + l(c). What is z(o(p))? -91*p**2 Let q(j) = -2*j**2 + 4*j. Let a(d) = -322*d**2 + 224*d. Let o(s) = a(s) - 56*q(s). Let l(w) = -3*w. Give o(l(i)). -1890*i**2 Let u(x) be the first derivative of -2*x**3 + 37*x + 7. Let v(q) = 7*q**2 - 38. Let h(p) = 6*u(p) + 5*v(p). Let t(s) = s**2. Determine t(h(g)). g**4 - 64*g**2 + 1024 Let n(p) = 25068685*p + 2. Let o(u) = -2*u. Calculate n(o(x)). -50137370*x + 2 Let a(z) = z. Suppose 133*t - 137*t = -8. Let k(x) = -8*x**2 - 29*x**2 - 9*x**t - 23*x**2. Give a(k(v)). -69*v**2 Let y(h) be the first derivative of h**5/40 + 19*h**3 + 45. Let r(p) be the third derivative of y(p). Let n(a) = -17*a**2. Calculate n(r(i)). -153*i**2 Let d(k) = 2*k. Suppose 24 = -5*o + 59. Let l(x) = 20*x + 26*x + o*x + 10*x. Calculate d(l(p)). 126*p Let a(j) = j + 9. Let d(v) = 8*v + 84. Let n(i) = -28*a(i) + 3*d(i). Let x(s) = s + 3. Let o(w) = -w - 4. Let m(f) = 3*o(f) + 4*x(f). Determine m(n(l)). -4*l Let r(v) = -5*v**2. Suppose 0 = -14*l + 164 + 494. Let q(a) = l*a - 110*a + 58*a. Determine r(q(g)). -125*g**2 Let q(v) = -12*v - 5. Let j(n) = 2*n + 1. Let m(y) = 5*j(y) + q(y). Let g(p) = 0*p + 9432*p**2 + 0*p - 9692*p**2. Calculate g(m(i)). -1040*i**2 Let c(k) = -477344*k. Let t(o) = -18*o + 2. Calculate c(t(j)). 8592192*j - 954688 Let h = 0 + 2. Suppose 0 = 2*u + 305*j - 302*j - 44, 0 = 5*u - 4*j - 64. Let d(b) = 10*b**2 + 12*b**2 - u*b**h. Let p(x) = 10*x**2. Calculate p(d(t)). 360*t**4 Let a(o) = 105*o**2. Let f(q) = -13*q**2 - 9*q. Let m(k) = -13*k**2 - 12*k. Let z(y) = -4*f(y) + 3*m(y). What is a(z(n))? 17745*n**4 Let v(k) = -2*k**2. Let l(r) = 9056 - 18108 + 9052 - 1029*r**2. Give v(l(x)). -2117682*x**4 Let u(z) = 719*z**2 - 12*z - 4. Let g(q) = 20838*q**2 - 345*q - 115. Let k(l) = -4*g(l) + 115*u(l). Let b(r) = 2*r**2. Calculate k(b(x)). -2668*x**4 Let y(c) be the second derivative of -186*c - 1/12*c**4 + 0 + 0*c**3 + 109/2*c**2. Let s(j) = j. Determine s(y(q)). -q**2 + 109 Let n(o) be the first derivative of o**6/360 - 203*o**3/3 - 109. Let k(u) be the third derivative of n(u). Let c(f) = 3*f + 35. Determine c(k(x)). 3*x**2 + 35 Let d(a) = -7199*a - 7483*a + 13904*a. Let w(n) = -2*n. Calculate d(w(s)). 1556*s Let t(k) = -15*k. Let n(r) = -696*r - 15. Let g(a) = -180*a - 4. Let l(b) = 15*g(b) - 4*n(b). Calculate t(l(f)). -1260*f Let l be (4/(-5))/(1 - 112/110). Let m(f) = -28*f**2 - 34*f**2 + l*f**2. Let r(g) = g + 1. Let d(y) = -2*y**2 + 6*y + 6. Let x(t) = d(t) - 6*r(t). Give x(m(n)). -648*n**4 Let a(b) = -10*b + 35720. Let p(x) = -130*x. Calculate p(a(t)). 1300*t - 4643600 Let j(n) be the first derivative of -19 + 0*n + 2/3*n**3 + 0*n**2. Let x(t) = 15*t. Let q(m) = -m. Let r(z) = 12*q(z) + x(z). What is r(j(k))? 6*k**2 Let x(z) = -217 - 153 + 3795*z + 370 + 1915*z. Let l(q) = q**2. Determine l(x(u)). 32604100*u**2 Let x(s) = -33*s - 263569*s**2 - 17*s + 263568*s**2. Let r(h) = -20*h. Determine r(x(z)). 20*z**2 + 1000*z Let w(g) = -7*g. Let t(p) = -42*p**2 + 218*p**2 - 68*p**2. What is w(t(z))? -756*z**2 Let w(t) = 2*t. Let f(x) = -26*x**2 + 2084*x - 48. Let s(d) = -5*d**2 + 417*d - 9. Let q(c) = 3*f(c) - 16*s(c). What is w(q(b))? 4*b**2 - 840*b Let k(v) = -9*v + 30. Let g(t) = -4 + 82*t + 9 + 72*t - 155*t. Let q(a) = 6*g(a) - k(a). Let s(w) = -2*w**2 + 7. Give q(s(d)). -6*d**2 + 21 Let x(p) = 4*p + 16. Let o(g) = -7*g**2 - 4. Let d(u) = -5*u**2 - 3. Suppose -53*h + 48 = -41*h. Let y(w) = h*d(w) - 3*o(w). Determine x(y(c)). 4*c**2 + 16
{ "pile_set_name": "DM Mathematics" }
2655)*(v + 2*v**2 - v) in the form p*v**2 + o*v + y*v**3 + t and give y. -19760 Express ((2 + 4 - 4)*(-3*w**2 + 0*w**2 + 2*w**2) + 68 + 11*w**2 - 37 - 29)*(3 + 2 + 3) in the form x*w**2 + j*w + u and give x. 72 Express (-6*u + 2*u + u)*(-1578*u + 141*u - 1984*u + 23*u) in the form z*u**2 + f*u + d and give z. 10194 Rearrange 145 - 5*r**2 + 6*r**2 + 286 + 751 - 2*r**2 to z + i*r**2 + g*r and give z. 1182 Express (-1 - 5 + 4)*(204*u + 117*u - 120*u)*(3 - 1 + 0) in the form w*u + l and give w. -804 Rearrange (-4*z + 14*z + 3*z**3 - z**3)*(9586 - 3766 - 4405 + (2 + 0 + 0)*(2 + 2 - 3)) to the form v*z**3 + o + s*z**2 + j*z and give v. 2834 Rearrange 0*w**2 + w**2 + 147*w**3 - 56*w**3 - 21 - 93*w**3 + w**4 + 3*w to the form y*w**4 + x*w**3 + k + z*w + u*w**2 and give x. -2 Rearrange 56846002 - 100*s**3 - 24*s**3 - 56846010 + 5*s**2 to the form l + k*s**3 + y*s + q*s**2 and give l. -8 Rearrange (3*s**3 + 4 - s**3 - 6)*(-3537468 + 3537468 + 1087*s) to p*s**2 + o*s**4 + t*s**3 + n + j*s and give o. 2174 Express -2*m**2 + 1224*m - 613*m + 462*m**3 - 2 - 610*m in the form d*m + u*m**2 + p + o*m**3 and give p. -2 Express 20325*i**2 - 28356*i**2 + 12939*i**2 in the form s + c*i + f*i**2 and give f. 4908 Rearrange (0 + 2 - 4)*(0*h + 2*h - 3*h) - 2 + 2 - 2*h + (-4 - 3 + 6)*(3 - 3 + 2*h) - 2 - 2*h + 2 - 5*h + 8*h + 9*h to m + i*h and give i. 8 Express (3 - 2 - 3)*((2*o + 6*o - 4*o)*(3 - 1 + 2) + 0*o + 2*o - 4*o + 5*o + 7*o - 2*o)*(-2 + 3 + 4) as x + k*o and give k. -240 Express (4*o - 4*o + 2*o)*(139*o - 64*o + 45*o + 55*o + (-2 + 0 + 1)*(5*o + 9*o - 6*o)) in the form s*o**2 + j + r*o and give s. 334 Rearrange -88*z - 69*z - 6 + 153*z to the form w*z + f and give f. -6 Rearrange -3 - 709*x**2 + 1715*x**2 + 2 - 2 to the form a*x**2 + w + n*x and give a. 1006 Express -59*s**2 + 26 + 6510*s - 6510*s in the form z*s**2 + p + b*s and give z. -59 Rearrange (540 - 540 + 81*i)*(0 + 0 - 2 + (4 - 1 - 1)*(-4 + 1 + 5)*(3 + 0 - 5)) - 2*i - 2*i + 2*i to w + m*i and give m. -812 Rearrange 986 + 159*p - 548*p + 157*p + 231*p to a*p + h and give h. 986 Rearrange -13*t - 124*t - 25 + 25 - 43 to n + q*t and give n. -43 Express 3*j - 2*j + 0*j + (1 + 0 + 1)*(0*j - 3*j + 5*j) + j + j + 8*j + (-11 - 2*j + 11 + 17)*(5 - 6 + 0) in the form a*j + k and give k. -17 Rearrange (-1386*p + 244169 - 244169)*(3*p + 2*p + 7 - 7*p) to m*p**2 + j + h*p and give m. 2772 Express -6*b - 3*b**2 + 6*b + (-9*b + 33*b + 19*b)*(b - 1 + 1) + (-5*b + 15*b - 4*b)*(-3*b + 2*b + 3*b) in the form a*b**2 + u + f*b and give a. 52 Rearrange (-4*z + 3*z + 3*z)*(2*z - 4*z - z) + 196*z**2 - 1585 + 1585 + 5*z**2 - z**2 - z**2 + (z + 0*z - 3*z)*(-3 - 2*z + 3) to h*z + c*z**2 + i and give c. 197 Express -55 + 14 - 57*j + 79*j - 7*j in the form a + q*j and give q. 15 Express -3*g - g + 2*g + (3 - 3 + 2)*(7156434 - 2001*g - 7156434) + (3 - 4 + 0)*(-g + 0*g + 3*g) in the form h + a*g and give a. -4006 Rearrange 3*h**2 + 282*h**3 - 589*h**3 + 269*h**3 + 2*h + 2 - 2*h**2 - h**4 to t*h**4 + i*h + p*h**2 + r*h**3 + b and give b. 2 Rearrange (1 - 7 + 2)*(-2 + 285361*j**2 + 0 - 284437*j**2) to t + l*j**2 + h*j and give l. -3696 Rearrange (162*i + 166*i + 25*i)*(-4 + 4 + 1)*(-4 - 3 + 6) to the form d + v*i and give d. 0 Rearrange (0*q**2 + 2*q**2 - 2 + q**2)*(-51 - 75 + 43)*(-17*q + 40 - 40) to k*q + o*q**2 + u + n*q**3 and give n. 4233 Rearrange -47 + 4*r**3 - 48 - 26 - 9*r**3 + 120 + 100*r to k*r**2 + m*r**3 + i*r + s and give i. 100 Rearrange (-18*g**2 + 48*g**2 - 39*g**2 + 5)*(110*g**2 - 6 - 3 - 121*g**2) to the form b*g**4 + x + f*g**3 + n*g**2 + v*g and give x. -45 Rearrange 524*p**2 - 12106 + 524*p**2 - 1560*p**2 + 515*p**2 to w + k*p**2 + m*p and give w. -12106 Express (-4016 - q + 11*q**3 - 4041 + 159*q**2 + 8056)*(0*q - 4*q + 5*q) in the form f*q**4 + p + t*q + n*q**3 + o*q**2 and give o. -1 Express -2397*h + 7199*h - 2402*h - h**3 - 5*h**3 - 8*h**2 - 2403*h - 14*h**4 as o*h**3 + j*h + v*h**2 + i*h**4 + n and give i. -14 Express -8 - 2 - 140*d**2 - 21*d**2 + 32*d**2 in the form f + m*d**2 + u*d and give m. -129 Express -41468 - 38465*t + 20737 + 20731 in the form d + o*t and give o. -38465 Rearrange 6989523*u + 170*u**3 + u**2 - 6989523*u - 16 to q*u + k + b*u**2 + f*u**3 and give f. 170 Rearrange -98 + 98 - 2380*x - 2588*x to q*x + l and give q. -4968 Rearrange -19*s**2 + 8*s**2 + 11*s**2 + 12*s + 16*s + 82*s**3 to the form z*s**2 + r*s + j + x*s**3 and give x. 82 Rearrange 6 + 47*b - 67*b - 42*b to q + m*b and give q. 6 Rearrange -3109*s - 217299 + 217299 to p + a*s and give a. -3109 Rearrange (11*n + 5*n - 11*n)*(-4 + 0 - 1)*(-6 - 1 + 5) to d + u*n and give u. 50 Express (3 + 0 - 1)*(r + 2*r - 2*r)*(11*r + 3*r**2 - 11*r)*(-14 - 10 - 82)*(1 - 1 + 1) as v*r + s + k*r**2 + b*r**3 and give k. 0 Express l**4 + 66*l**2 + 453431 - l**3 + l - 226716 - 226714 as c + q*l + p*l**2 + v*l**3 + a*l**4 and give v. -1 Rearrange v**3 + 595*v**2 - 1227*v**2 + 28*v - 29 + 634*v**2 to the form z*v + j*v**2 + s + y*v**3 and give z. 28 Express -74 + 8*m + 2*m + 72 + (0*m + 0*m + 3*m)*(2 - 3 + 0) - m - m + 11*m as o + b*m and give o. -2 Rearrange (u + 4*u + 0*u)*(-4*u**3 + u**3 + 2*u**3) - 15*u**3 - 3*u**4 + 2*u**4 + 29*u**3 to the form l*u**4 + r*u + b*u**2 + h*u**3 + k and give h. 14 Express (6*c**2 + 5*c**2 - 5*c**2)*(151*c - 3277*c**2 - 151*c - 6221*c**2) in the form a*c**3 + n*c**2 + t*c + x + p*c**4 and give p. -56988 Rearrange (-2 - 6*m + 2)*(2 + 0 - 4) + (-26 + 5 + 7)*(-2*m - 2*m + 0*m) to the form d + n*m and give n. 68 Express (1 + 15 - 35)*(23 + 201*h**2 + 1 - 15 - 9)*(2*h - 2*h + h) in the form n*h**2 + y + m*h**3 + v*h and give m. -3819 Rearrange -71*m**2 - 41775*m - m**3 + 41773*m - 130*m**2 to the form f*m + p*m**2 + y*m**3 + q and give y. -1 Rearrange -12*p - 50794*p**2 + 50365*p**2 + 12*p to q + x*p**2 + g*p and give x. -429 Rearrange ((6 + 0 - 3)*(0 + 3 + 6) - 3 + 5 - 1)*((a + 3*a - 2*a)*(1 - 5 + 2) - 73*a + 56*a - 150*a)*(-a + a - 3*a) to i + c*a + d*a**2 and give d. 14364 Rearrange 39534 - 39534 - 72*c**3 + (3 + 7 - 5)*(c**3 + c**2 - c**2) to the form w + g*c + q*c**3 + s*c**2 and give q. -67 Rearrange (-17 - 5 - 1)*(-i + 3*i - 5*i) - i - 1 + 3*i + 0*i + (-2 - 5 + 5)*(-2*i - i + 2*i) + 4*i - i - 4*i to the form t + v*i and give t. -1 Rearrange -35*v**2 - 4*v - 39*v + 11*v**2 + 15*v**2 to j*v**2 + b*v + m and give b. -43 Express -132*r**3 - 55*r**3 + 66*r**3 - 2*r**3 - 5*r**3 + 9*r**3 + (2*r**2 + 4*r**2 - 3*r**2)*(-r + 6*r - 3*r) in the form b*r + f*r**2 + o*r**3 + q and give o. -113 Rearrange (-2 + 3 - 4)*(-910*k - 1102*k + 547*k) to the form s + h*k and give h. 4395 Express 199*z - 1695*z - 966*z + 546*z in the form q*z + t and give q. -1916 Express -1 - 3*y**3 + 384899*y**2 - 384842*y**2 + y + 0*y in the form m*y**2 + n + x*y**3 + t*y and give n. -1 Express -344*g - 173*g + 91*g - 473*g as i*g + h and give i. -899 Express -19 - 506*d - 1 + 8 + 12 as k + z*d and give z. -506 Express (-161 + 161 - 91*c)*(3 + 2*c**2 - 9 - 3*c**2) in the form g*c + w*c**3 + o + u*c**2 and give g. 546 Rearrange -8959399 + 8959399 - 8981*v to d*v + r and give d. -8981 Rearrange 2*a + 41 - 5038*a**2 + 21*a**3 + 5057*a**2 - 42 to the form y*a**3 + b*a**2 + u + z*a and give b. 19 Express (2 - 2 + 2)*(1 - 8 - 5)*(-5*n**2 + n**2 + 3*n**2) + (-42*n + 7*n - 15*n)*(3*n - 1 + 1) as u + c*n**2 + s*n and give c. -126 Rearrange 26 - 121*h - 101*h**2 + 21 + 121*h - 46 to o + p*h**2 + r*h and give p. -101 Express 4*f**2 + 2*f**2 - 1086 - 2*f + 1087 + 30*f**3 as i*f**2 + t*f**3 + g*f + z and give g. -2 Rearrange (-906 + 2438 - 205 - 121 + 2699 + 1186)*(0*u**2 + 0*u**2 + 4*u**2) to the form f*u + b*u**2 + y and give b. 20364 Express -256*v + 116 + 257*v + 196 as k*v + j and give k. 1 Rearrange 2500 - 1296 - 1203 - 2854*p**2 to a*p + q*p**2 + z and give q. -2854 Rearrange -8385*v + 8391*v - 1 + 0*v**4 - v**3 - 5*v**4 - 3*v**3 + 2*v**4 to c*v**3 + t*v**4 + d*v**2 + l + k*v and give c. -4 Rearrange -93*f**2 - 121*f**2 + 396*f**2 - 94*f**2 + 2 - 90*f**2 + 3386*f to z*f**2 + l*f + g and give z. -2 Rearrange 7 - 4*c - 25*c**4 + 13*c**4 + 23*c**3 - 25*c**3 + 10*c**2 + 5*c + 13*c**4 to the form z*c**2 + i*c + q*c**4 + n + r*c**3 and give q. 1 Rearrange (-7 + 3 - 10)*(3*h**4 + 3*h**4 - 3*h**4 + (2*h**2 + 3*h**2 - 3*h**2)*(-3*h**2 - 3*h + 3*h)) to the form
{ "pile_set_name": "DM Mathematics" }
96? 2, 3, 13, 37, 2293 What are the prime factors of 279755? 5, 7, 7993 What are the prime factors of 6957643? 7, 11, 90359 What are the prime factors of 203404? 2, 211, 241 What are the prime factors of 4813920? 2, 3, 5, 3343 What are the prime factors of 23369281? 13, 1797637 What are the prime factors of 852982? 2, 13, 53, 619 List the prime factors of 7153875. 3, 5, 6359 List the prime factors of 1436046. 2, 3, 71, 3371 What are the prime factors of 417237? 3, 139079 What are the prime factors of 247029? 3, 67, 1229 What are the prime factors of 218478? 2, 3, 13, 2801 What are the prime factors of 324018? 2, 3, 47, 383 List the prime factors of 1067670. 2, 3, 5, 11863 List the prime factors of 187736. 2, 31, 757 List the prime factors of 1176247. 17, 69191 List the prime factors of 78117. 3, 13, 2003 List the prime factors of 3027808. 2, 7, 1931 List the prime factors of 128518. 2, 13, 4943 What are the prime factors of 313885? 5, 11, 13, 439 List the prime factors of 13741973. 7, 1963139 What are the prime factors of 187468? 2, 46867 What are the prime factors of 702383? 11, 63853 List the prime factors of 18579533. 7, 401, 6619 What are the prime factors of 100348? 2, 25087 List the prime factors of 13400903. 13400903 What are the prime factors of 4688721? 3, 520969 List the prime factors of 5575183. 5575183 List the prime factors of 2183916. 2, 3, 7, 25999 List the prime factors of 342726. 2, 3, 239 What are the prime factors of 740390? 2, 5, 7, 1511 What are the prime factors of 747439? 7, 11, 17, 571 What are the prime factors of 19876610? 2, 5, 13, 152897 List the prime factors of 2014809. 3, 671603 List the prime factors of 125990. 2, 5, 43, 293 List the prime factors of 111507. 3, 11, 31, 109 List the prime factors of 3801633. 3, 11, 115201 What are the prime factors of 482284? 2, 11, 97, 113 What are the prime factors of 6418636? 2, 7, 229237 What are the prime factors of 180763? 11, 16433 What are the prime factors of 97162? 2, 13, 37, 101 List the prime factors of 9300298. 2, 7, 43, 2207 What are the prime factors of 525588? 2, 3, 7, 6257 List the prime factors of 69948. 2, 3, 29, 67 List the prime factors of 158728. 2, 19841 List the prime factors of 2635466. 2, 197, 6689 What are the prime factors of 5126749? 31, 165379 What are the prime factors of 77185? 5, 43, 359 What are the prime factors of 831774? 2, 3, 138629 List the prime factors of 28129150. 2, 5, 7, 80369 What are the prime factors of 9339988? 2, 7, 47653 What are the prime factors of 32188? 2, 13, 619 What are the prime factors of 544209? 3, 283, 641 List the prime factors of 1046604. 2, 3, 13, 6709 What are the prime factors of 591498? 2, 3, 17, 1933 What are the prime factors of 2341627? 1061, 2207 List the prime factors of 3256334. 2, 19, 67, 1279 List the prime factors of 781612. 2, 13, 15031 What are the prime factors of 11384784? 2, 3, 173, 457 What are the prime factors of 432078? 2, 3, 23, 31, 101 List the prime factors of 62422. 2, 23, 59 List the prime factors of 20628. 2, 3, 191 List the prime factors of 182217. 3, 7, 8677 What are the prime factors of 4546986? 2, 3, 631, 1201 What are the prime factors of 17324933? 17324933 What are the prime factors of 497517? 3, 383, 433 What are the prime factors of 45252? 2, 3, 419 List the prime factors of 494738. 2, 247369 What are the prime factors of 3217917? 3, 311, 3449 List the prime factors of 137854. 2, 68927 List the prime factors of 5096013. 3, 13, 41, 3187 List the prime factors of 1032077. 599, 1723 List the prime factors of 1088288. 2, 71, 479 What are the prime factors of 208960? 2, 5, 653 List the prime factors of 3491530. 2, 5, 7, 31, 1609 What are the prime factors of 1404122? 2, 29, 43, 563 List the prime factors of 26036711. 26036711 List the prime factors of 2098151. 11, 19, 10039 List the prime factors of 545405. 5, 7, 15583 What are the prime factors of 142552? 2, 103, 173 What are the prime factors of 8755004? 2, 2188751 List the prime factors of 678030. 2, 3, 5, 97, 233 What are the prime factors of 10665950? 2, 5, 213319 What are the prime factors of 10963781? 157, 69833 List the prime factors of 29511030. 2, 3, 5, 983701 What are the prime factors of 8071824? 2, 3, 337, 499 List the prime factors of 2939852. 2, 59, 12457 List the prime factors of 885211. 107, 8273 List the prime factors of 672253. 37, 18169 List the prime factors of 124772. 2, 31193 What are the prime factors of 7905929? 7905929 What are the prime factors of 2963989? 7, 423427 List the prime factors of 449446. 2, 17, 13219 List the prime factors of 308313. 3, 19, 601 List the prime factors of 326090. 2, 5, 32609 What are the prime factors of 480280? 2, 5, 12007 List the prime factors of 451613. 53, 8521 What are the prime factors of 19981113? 3, 6660371 What are the prime factors of 3438745? 5, 687749 What are the prime factors of 320353? 11, 29123 List the prime factors of 20503270. 2, 5, 2050327 What are the prime factors of 7599497? 7599497 What are the prime factors of 1476909? 3, 7, 17, 197 List the prime factors of 16766958. 2, 3, 13, 103, 2087 List the prime factors of 394268. 2, 7, 14081 List the prime factors of 706669. 706669 What are the prime factors of 708170? 2, 5, 23, 3079 List the prime factors of 101679. 3, 33893 What are the prime factors of 3069575? 5, 199, 617 What are the prime factors of 244591? 277, 883 List the prime factors of 832968. 2, 3, 23, 503 List the prime factors of 21637. 7, 11, 281 What are the prime factors of 564880? 2, 5, 23, 307 List the prime factors of 4646539. 353, 13163 List the prime factors of 10677726. 2, 3, 593207 What are the prime factors of 24229645? 5, 11, 29, 1381 What are the prime factors of 4878? 2, 3, 271 What are the prime factors of 209260? 2, 5, 10463 List the prime factors of 1610302. 2, 103, 7817 List the prime factors of 11279988. 2, 3, 313333 List the prime factors of 325190. 2, 5, 31, 1049 What are the prime factors of 109017? 3, 12113 What are the prime factors of 32231? 167, 193 List the prime factors of 249107. 249107 List the prime factors of 2415806. 2, 1207903 What are the prime factors of 1210428? 2, 3, 33623 What are the prime factors of 2160779? 1459, 1481 What are the prime factors of 542759? 7, 17, 4561 List the prime factors of 27632606. 2, 41, 336983 What are the prime factors of 9233262? 2, 3, 512959 What are the prime factors of 959947? 959947 List the prime factors of 3856936. 2, 482117 What are the prime factors of 4738106? 2, 19, 67, 1861 List the prime factors of 110147. 23, 4789 List the prime factors of 6531556. 2, 293, 5573 What are the prime factors of 1333375? 5, 10667 What are the prime factors of 2581535? 5, 11, 17, 251 What are the prime factors of 2837598? 2, 3, 61, 7753 What are the prime factors of 102224? 2, 6389 List the prime factors of 247712. 2, 7741 List the prime factors of 183228. 2, 3, 15269 List the prime factors of 10080634. 2, 5040317 List the prime factors of 1168481. 19, 89, 691 What are the prime factors of 229441? 479 List the prime factors of 12018107. 12018107 List the prime factors of 428812. 2, 23, 59, 79 What are the prime factors of 1367215? 5, 97, 2819 List the prime factors of 750484. 2, 7, 547 What are the prime factors of 10904017? 173, 63029 List the prime factors of 29879. 29879 List the prime factors of 1497210. 2, 3, 5, 11, 13, 349 List the prime factors of 3728448. 2, 3, 6473 List the prime factors of 1056345. 3, 5, 70423 List the prime factors of 1430156. 2, 7, 13, 3929 What are the prime factors of 177715? 5, 35543 What are the prime factors of 5686? 2, 2843 What are the prime factors of 32219611? 19, 149, 599 List the prime factors of 233006. 2, 113, 1031 List the prime factors of 215048. 2, 26881 What are the prime factors of 2736199? 47, 58217 List the prime factors of 138887. 7, 19841 What are the prime factors of 13462943? 13, 79, 13109 What are the prime factors of 177464? 2, 7, 3169 List the prime factors of 37896. 2, 3, 1579 List the prime factors of 161374. 2, 80687 What are the prime factors of 8299906? 2, 53, 78301 List the prime factors of 2077755. 3, 5, 138517 What are the prime factors of 7540701? 3, 7, 19, 18899 List the prime factors of 76110. 2, 3, 5, 43, 59 List the prime fa
{ "pile_set_name": "DM Mathematics" }
placement from cdaiiic. Give prob of picking 1 d and 2 i. 3/35 What is prob of picking 1 l, 1 s, and 2 x when four letters picked without replacement from xshlhx? 1/15 What is prob of picking 1 u, 2 d, and 1 o when four letters picked without replacement from {u: 1, o: 7, d: 2}? 1/30 Calculate prob of picking 2 e when two letters picked without replacement from fqfqkqfkqkfzevz. 0 Two letters picked without replacement from ppblluw. What is prob of picking 1 b and 1 p? 2/21 What is prob of picking 2 r and 1 k when three letters picked without replacement from rrrkrkrrkk? 1/2 Three letters picked without replacement from uttuuudtutuuutt. What is prob of picking 1 d and 2 u? 4/65 Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {g: 1, v: 4, c: 2}. 8/21 Two letters picked without replacement from {p: 6, x: 2, z: 10, q: 2}. Give prob of picking 1 x and 1 z. 2/19 Two letters picked without replacement from yvvvvhvrrhrvvryv. What is prob of picking 2 r? 1/20 Two letters picked without replacement from {r: 8, w: 3}. Give prob of picking 2 r. 28/55 Calculate prob of picking 4 z when four letters picked without replacement from zzzjzzogzzggoo. 5/143 Two letters picked without replacement from whxiigxiigx. Give prob of picking 1 i and 1 w. 4/55 Calculate prob of picking 1 o, 1 d, and 2 v when four letters picked without replacement from ovoodoodoov. 7/165 Calculate prob of picking 2 b when two letters picked without replacement from rbbrbbbbbr. 7/15 Calculate prob of picking 1 n and 1 j when two letters picked without replacement from qnonnononoqqnnoj. 7/120 What is prob of picking 1 z, 1 w, and 1 o when three letters picked without replacement from xxwoxrxrwzwwxzxojxxx? 4/285 What is prob of picking 3 s and 1 b when four letters picked without replacement from csccucsssbu? 2/165 Two letters picked without replacement from {c: 4, v: 4, k: 3, p: 1, a: 1}. Give prob of picking 1 v and 1 p. 2/39 Three letters picked without replacement from {u: 1, v: 11}. What is prob of picking 3 u? 0 Three letters picked without replacement from eidddddddedddeie. What is prob of picking 3 e? 1/140 Three letters picked without replacement from {f: 4, i: 1, q: 2, e: 1}. Give prob of picking 1 q, 1 f, and 1 e. 1/7 Three letters picked without replacement from {r: 5, w: 1, b: 3, v: 6, f: 2}. What is prob of picking 3 v? 1/34 Three letters picked without replacement from {t: 5, z: 2, m: 1, k: 1, d: 7, s: 1}. Give prob of picking 2 d and 1 m. 21/680 Calculate prob of picking 3 e and 1 v when four letters picked without replacement from peggeggevgcggp. 1/1001 Two letters picked without replacement from qmfrf. What is prob of picking 1 r and 1 m? 1/10 Two letters picked without replacement from {g: 1, w: 7, t: 1, h: 10}. Give prob of picking 2 w. 7/57 What is prob of picking 4 x when four letters picked without replacement from {x: 7, v: 1, a: 1, c: 4}? 7/143 Calculate prob of picking 2 t when two letters picked without replacement from nvhnttvxvtjnvjjjt. 3/68 What is prob of picking 1 r and 1 a when two letters picked without replacement from {r: 4, a: 2, v: 6, f: 3}? 8/105 What is prob of picking 1 a, 2 i, and 1 t when four letters picked without replacement from ciinaintcqtqnqn? 2/455 Two letters picked without replacement from {y: 1, s: 1, z: 1, n: 10}. Give prob of picking 2 n. 15/26 Two letters picked without replacement from sssssukksssskss. Give prob of picking 1 s and 1 k. 11/35 Two letters picked without replacement from uccuiueu. Give prob of picking 1 u and 1 i. 1/7 What is prob of picking 1 o and 2 d when three letters picked without replacement from odoodo? 1/5 Three letters picked without replacement from {p: 3, r: 1, d: 1, c: 3, e: 6}. What is prob of picking 3 e? 5/91 Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {z: 1, e: 18}. 2/19 Four letters picked without replacement from {d: 4, j: 3, k: 2}. What is prob of picking 1 k, 1 j, and 2 d? 2/7 Calculate prob of picking 1 a and 2 z when three letters picked without replacement from ppzpzpazzpaapzzpazza. 7/57 Two letters picked without replacement from {a: 1, l: 1, e: 2}. Give prob of picking 1 e and 1 l. 1/3 Four letters picked without replacement from {r: 2, p: 3, x: 1, h: 1}. What is prob of picking 1 x and 3 h? 0 Calculate prob of picking 2 s when two letters picked without replacement from {q: 7, s: 2, r: 2}. 1/55 Two letters picked without replacement from {t: 2, d: 2, x: 2, o: 1, j: 8}. What is prob of picking 1 x and 1 d? 4/105 Calculate prob of picking 2 d, 1 z, and 1 r when four letters picked without replacement from dccdddcxxxddrzdxcr. 7/510 Two letters picked without replacement from {d: 4, y: 15}. Give prob of picking 2 d. 2/57 Three letters picked without replacement from {s: 5, l: 4, v: 8}. Give prob of picking 3 l. 1/170 Two letters picked without replacement from {h: 1, w: 3, f: 5, n: 1, x: 1, y: 1}. What is prob of picking 1 f and 1 w? 5/22 Three letters picked without replacement from txxxcxttttt. What is prob of picking 3 t? 4/33 Four letters picked without replacement from ubwwbbwwqbbqbib. Give prob of picking 3 b and 1 i. 1/39 Four letters picked without replacement from ynjnbnnbnyyyxny. Give prob of picking 1 b, 1 n, and 2 y. 8/91 What is prob of picking 1 e and 1 p when two letters picked without replacement from {p: 5, d: 4, v: 1, e: 1, h: 3}? 5/91 Four letters picked without replacement from zzzzzokzddzzzkzz. What is prob of picking 2 k and 2 d? 1/1820 Calculate prob of picking 1 f, 1 p, and 2 m when four letters picked without replacement from jmvfvffmmmmvmxpxpvxv. 6/323 Four letters picked without replacement from {z: 7, b: 1, k: 3, w: 4, r: 2, a: 1}. Give prob of picking 3 z and 1 b. 7/612 Two letters picked without replacement from kkkkkkakkkkka. What is prob of picking 2 a? 1/78 What is prob of picking 2 q and 2 z when four letters picked without replacement from {q: 12, z: 6}? 11/34 Four letters picked without replacement from myryyrmrrrrr. Give prob of picking 1 m, 1 y, and 2 r. 14/55 Three letters picked without replacement from qqdqqdqddvqgqqdq. What is prob of picking 1 g and 2 d? 1/56 Two letters picked without replacement from eguuguue. Give prob of picking 1 u and 1 e. 2/7 Calculate prob of picking 2 b and 2 i when four letters picked without replacement from {p: 1, s: 5, b: 3, i: 4}. 18/715 Calculate prob of picking 3 i and 1 o when four letters picked without replacement from {y: 8, i: 3, o: 7}. 7/3060 What is prob of picking 1 p, 1 o, and 2 x when four letters picked without replacement from {m: 1, p: 1, x: 4, n: 3, h: 4, o: 1}? 6/1001 Calculate prob of picking 2 a and 2 r when four letters picked without replacement from rrrqqaqaaaaaaarr. 2/13 Three letters picked without replacement from {k: 3, v: 9}. What is prob of picking 3 k? 1/220 What is prob of picking 2 d and 1 p when three letters picked without replacement from dpbfdbdpapdpbddbbppb? 3/38 Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {o: 13, k: 1, q: 3}. 13/136 Two letters picked without replacement from {y: 2, k: 3}. Give prob of picking 2 y. 1/10 Two letters picked without replacement from {a: 4, l: 3, q: 2}. What is prob of picking 2 a? 1/6 Two letters picked without replacement from {b: 1, w: 1, i: 1, h: 10}. Give prob of picking 1 h and 1 w. 5/39 Calculate prob of picking 2 b when two letters picked without replacement from wwswwbsbvwsbs. 1/26 Two letters picked without replacement from zzkpzzeuululzzzez. Give prob of picking 1 k and 1 e. 1/68 Two letters picked without replacement from whnwx. Give prob of picking 1 x and 1 n. 1/10 Four letters picked without replacement from yyzyyyyzyyyyzyy. What is prob of picking 4 y? 33/91 Three letters picked without replacement from njnjjjjjnjjjjn. What is prob of picking 2 j and 1 n? 45/91 Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {z: 2, k: 1, h: 4, t: 9, j: 3}. 3/19 Four letters picked without replacement from {q: 1, x: 3, g: 5, u: 3}. What is prob of picking 3 u and 1 q? 1/495 Three letters picked without replacement from iiilyyyyyyyllljjpjl. What is prob of picking 1 y and 2 j? 7/323 What is prob o
{ "pile_set_name": "DM Mathematics" }
et m(t) = -206*t - 6796. Give m(-33). 2 Let k(f) = -f**2 + 52*f - 466. Calculate k(11). -15 Let c(l) = 47*l**2 - 56*l - 1. Determine c(1). -10 Let j(v) = 2*v**2 + 174*v + 2873. Calculate j(-65). 13 Let d(i) = 5*i**3 - 3*i**2 + 3*i + 2. Give d(-2). -56 Let a(m) = -6*m - 352. Calculate a(-60). 8 Let o(h) = -2*h**2 + 118*h + 376. Calculate o(62). 4 Let b(h) = -8*h**2 - 230*h + 456. Determine b(2). -36 Let b(s) = s**3 + 11*s**2 + 12. Determine b(-11). 12 Let o(b) = -2*b**2 + 61*b - 339. Calculate o(7). -10 Let c(m) = -9*m + 142. Calculate c(8). 70 Let k(j) = 62*j**2 + 255*j + 8. Give k(-4). -20 Let t(r) = r**2 + 80*r + 1268. Determine t(-58). -8 Let a(y) = -y**3 - 23*y**2 - 7*y - 58. What is a(-23)? 103 Let g(b) = b**3 + 3*b**2 - 3*b - 5. What is g(-5)? -40 Let c(s) = 5*s**2 - 13209*s + 13209. Calculate c(1). 5 Let t(w) = w**2 - 206*w + 10608. Give t(102). 0 Let s(w) = 2*w**2 - 47*w - 292. Calculate s(-5). -7 Let i(f) = -9*f - 452. Calculate i(-57). 61 Let b(w) = -w**3 + 89*w**2 - 222*w - 3087. Give b(86). 9 Let f(o) = 7*o**2 - 51*o. Give f(6). -54 Let h(j) = -21*j + 2354. What is h(104)? 170 Let b(j) = -3*j + 258. Give b(0). 258 Let o(j) = 195*j**3 - j**2 - 14*j - 13. Calculate o(-1). -195 Let m(u) = 70*u - 701. Give m(10). -1 Let u(f) = f**2 - 82*f + 1673. Calculate u(38). 1 Let q(y) = -y**2 + 54*y - 413. Determine q(9). -8 Let h(a) = -348*a + 13913. What is h(40)? -7 Let p(b) = 12*b + 31. Give p(-2). 7 Let w(q) = 78*q - 1553. What is w(19)? -71 Let o(d) = -6*d**2 + 123*d + 3499. Determine o(-16). -5 Let z(g) = -g**3 - 87*g**2 + 1. What is z(-87)? 1 Let b(g) = g**2 - 190*g + 7210. Determine b(52). 34 Let b(x) = x**3 + 11*x**2 + 26*x - 39. Determine b(-10). -199 Let m(i) = 15*i + 1655. What is m(-110)? 5 Let q(i) = 371*i + 1799. Determine q(-5). -56 Let l(o) = -2*o**3 - 237*o**2 + 103*o - 1895. Give l(-119). 9 Let o(t) = 18*t**2 + 858*t - 280. Calculate o(-48). 8 Let r(p) = 25*p**2 - 9*p + 13. What is r(2)? 95 Let w(u) = -11*u**2 - 370*u + 2122. What is w(5)? -3 Let y(h) = 2*h**2 - 31*h + 23. What is y(12)? -61 Let v(j) = 2*j**2 - 189*j + 1392. Give v(8). 8 Let f(q) = -q**3 - 51*q**2 + 256*q - 274. What is f(3)? 8 Let i(x) = 4*x**2 - 22*x + 33. Calculate i(7). 75 Let a(g) = -g**3 - 2*g**2 + 13*g + 41. Calculate a(-4). 21 Let k(n) = n**3 + 31*n**2 + 24*n - 98. Calculate k(-30). 82 Let f(w) = -w**3 - 3*w**2 + 7*w + 18. Give f(-3). -3 Let y(w) = -4*w**2 - 155*w + 48. Calculate y(-39). 9 Let r(x) = -x**2 + 53*x - 146. Calculate r(3). 4 Let a(k) = 5*k**2 + 151*k - 154. What is a(-31)? -30 Let x(m) = 12*m**2 - 163*m + 88. Determine x(12). -140 Let d(r) = 4*r**3 + 6*r**2 - 9*r. Give d(2). 38 Let l(f) = -3*f**2 - 12*f - 25. Calculate l(-6). -61 Let q(y) = 2*y**3 - 225*y**2 - 1411*y + 57. Calculate q(-6). -9 Let s(f) = 49*f - 7574. Calculate s(151). -175 Let m(s) = s**3 - 8*s**2 + 6*s + 9. Calculate m(8). 57 Let z(j) = 21*j + 727. What is z(-62)? -575 Let y(w) = -5*w - 117. What is y(4)? -137 Let t(c) = c**3 - 24*c**2 + 69*c + 227. What is t(20)? 7 Let o(c) = 2*c**3 + 78*c**2 + 76*c - 41. Calculate o(-38). -41 Let c(i) = 7*i**2 + 22*i + 6. What is c(-5)? 71 Let t(x) = -x + 69. What is t(-16)? 85 Let n(g) = -10*g**2 - 306*g - 307. Determine n(-1). -11 Let m(n) = -3*n**3 - 283*n**2 - 87*n + 659. Give m(-94). 1 Let z(f) = 2*f**3 - 80*f**2 + 77*f + 46. Give z(39). 7 Let m(j) = -35*j + 1885. Calculate m(54). -5 Let v(m) = 8*m**2 - 63*m + 28. Determine v(7). -21 Let d(m) = 2*m**3 - 10*m**2 + 5*m - 8. What is d(6)? 94 Let z(n) = n**2 - 39*n + 302. Determine z(26). -36 Let g(u) = -24*u**2 - 115*u + 15. Determine g(-5). -10 Let l(k) = k**3 - 10*k**2 - 12*k + 24. Determine l(11). 13 Let p(f) = -613*f**3 + 5*f**2 + 2*f - 2. Give p(-1). 614 Let m(y) = -y - 90. What is m(20)? -110 Let n(b) = 2*b**3 + 13*b**2 + 21*b + 7. Give n(-5). -23 Let y(d) = -d**3 - 27*d**2 + 626*d + 30. What is y(15)? -30 Let h(f) = 5*f - 42. Give h(-4). -62 Let x(l) = -2*l**3 + 38*l**2 + 319*l - 481. Calculate x(25). -6 Let j(x) = -9*x**2 - 90*x - 82. Determine j(-9). -1 Let f(x) = x**3 - x**2 - 17*x + 34. What is f(3)? 1 Let u(k) = 24*k - 435. What is u(18)? -3 Let d(l) = -537*l + 8056. Calculate d(15). 1 Let m(x) = 23*x - 2164. Give m(94). -2 Let a(x) = -67*x + 961. What is a(12)? 157 Let q(b) = -b**3 + 2*b**2 + 14*b + 103. Calculate q(7). -44 Let h(l) = 3*l**3 - 3*l**2 + 3*l. Calculate h(3). 63 Let c(l) = 6*l**2 + 92*l - 185. What is c(-17)? -15 Let m(j) = j**3 + 15*j**2 - 69*j - 273. Determine m(-18). -3 Let c(s) = 543*s**2 - 11*s + 13. Calculate c(1). 545 Let j(i) = i**3 + 2*i**2 + 3*i + 17. Determine j(-5). -73 Let z(k) = k**3 + 15*k**2 + 23*k - 45. Calculate z(-13). -6 Let j(z) = -z**2 + 243*z + 482. Calculate j(-2). -8 Let d(g) = -g**3 + 70*g**2 + 7*g - 489. Give d(70). 1 Let l(a) = -2*a**2 + 160*a + 400. What is l(83)? -98 Let t(u) = -u**3 + 5*u**2 + 3614*u - 18070. What is t(5)? 0 Let y(s) = 98*s - 3401. Calculate y(38). 323 Let o(m) = m**2 + 477*m - 3384. What is o(7)? 4 Let v(l) = 8*l**2 + 81*l + 13. Calculate v(-9). -68 Let w(g) = -28*g - 122. Calculate w(-6). 46 Let a(q) = 7*q**3 + 3*q**2 - 24*q + 6. Calculate a(4). 406 Let z(j) = -j**3 - 75*j**2 - 85*j - 560. Determine z(-74). 254 Let n(p) = -1180*p**2 + 10624*p - 26. Give n(9). 10 Let j(h) = -3*h + 137. What is j(53)? -22 Let z(i) = 4*i**3 + 148*i**2 - 9*i - 320. Determine z(-37). 13 Let r(x) = -2*x**2 - 74*x + 269. Determine r(-39). 113 Let s(w) = 23*w - 697. Give s(27). -76 Let y(c) = 164*c**2 - 3*c - 11. Calculate y(-2). 651 Let h(a) = 3*a**3 + 281*a**2 + 452*a - 741. What is h(-92)? -5 Let i(q) = -248*q + 3734. Determine i(15). 14 Let n(i) = 192*i**2 - 15*i - 14. Give n(-1). 193 Let u(a) = -a**2 - 27*a + 155. Calculate u(-38). -263 Let h(b) = -525*b + 5244. What is h(10)? -6 Let i(a) = 20*a**2 - 4*a + 10. Calculate i(3). 178 Let r(w) = -22*w + 702. Give r(10). 482 Let f(s) = -43*s + 165. Determine f(3). 36 Let l(i) = -148*i + 738. Determine l(5). -2 Let f(o) = -15*o**2 - 77*o + 24. Determine f(-6). -54 Let w(x) = -x**3 + 83*x**2 - 1006*x - 209. What is w(15)? 1 Let y(j) = 48*j - 557. Give y(21). 451 Let x(g) = -g**2 + 16*g + 10. What is x(-6)? -122 Let h(s) = 3422*s - 2. What is h(0)? -2 Let x(b) = -b**2 - 27*b - 77. What is x(-24)? -5 Let f(c) = -c**2 + 7*c + 296. Calculate f(-15). -34 Let k(p) = p**3 + 6*p**2 + 35*p + 409. What is k(-8)? 1 Let l(k) = -4*k - 15. What is l(-2)? -7 Let w(h) = 4*h**2 + 60*h - 485. What is w(-21)? 19 Let m(j) = 77*j + 99. What is m(-7)? -440 Let p(c) = -4*c**2 - 39*c - 210. Calculate p(-12). -318 Let j(d) = -148*d + 347. What is j(2)? 51 Let h(g) = g**2 - 70*g - 46. What is h(0)? -46 Let m(n) = -1807*n + 21683. Give m(12). -1 Let l(g) = -g**3 - 46*g**2 + 95*g + 364. Give l(-48). 412 Let a(b) = -4*b**2 - 10*b + 262. What is a(7)? -4 Let s(l) = l**2 + 25*l - 705. Determine s(17). 9 Let o(g) = -2*g**2 - 56*g - 19. Give o(0). -19 Let y(i) = 9*i**2 + 38*i + 93. What is y(-5)? 128 Let u(q) = -16*q**2 - 191*q - 22. Calculate u(-12). -34 Let l(u) = -u**3 - 36*u**2 + 5. Give l(-36). 5 Let p(x) = 2*x**3 + 23*x**2 - 17*x - 25. Determine p(-12). 35 Let g(p) = 2*p**3 - 15*p**2 - 171*p + 353. What is g(13)? -11 Let d(z) = 18*z + 114. What is d(-4)? 42 Let b(q) = q**3 + 21*q**2 + 32*q - 86. Give b(-17). 526 Let b(s) = -27*s - 450. Give b(-13). -99 Let i(z) = -z**3 - 19*z**2 + 210*z - 167. Give i(-27). -5 Let c(f) = f**3 + 9*f**2 + 25*f + 27. Calculate c(-5). 2 Let l(p) = -76*p - 46. Calculate l(-2). 106 Let v(s) = 705*s - 21135. What is v(30)? 15 Let r(c) = -6*c**3 + 52*c**2 - 107*c - 9. Give r(4). 11 Let d(w) = -200*w + 1602. Determine d(8). 2 Let s(t) = 2*t**3 - 74*t**2 + 8*t - 301. What is s(37)? -5 Let i(y) = -2*y**2 + 80*y + 177. Calculate i(42). 9 Let k(v) = -15*v**2 + 12*v - 160. Determine k(5). -475 Let p(v) = 56*v - 4532. Determine p(81). 4 Let s(y) = -295*y - 388. Calculate s(-1). -93 Let w(c) = 2*c**3 - 2*c**2 + 87*c - 170. Determine w(2). 12 Let k(p) = 15107*p + 151068. What is k(-10)? -2 Let k(j) = 1072*j + 6435. What is k(-6)? 3 Let t(w) = 7*w**3 + 3*w**2 + 106*w + 208. Calculate t(-2). -48 Let l(r) = r**3 + 21*r**2 + 93*r + 48. Determine l(-15). 3 Let c(r) = 42*r - 754. Calculate c(13). -208 Let t(b) = -184*b - 2410. What is t(-9)? -754 Let l(c) = -220*c - 8532. Give l(-39). 48 Let m(s) =
{ "pile_set_name": "DM Mathematics" }
, 3, 170. 4/7, 3, 5, 170 Sort 5, 6, -2365 in decreasing order. 6, 5, -2365 Sort 229, 1, 9, -1, -3. -3, -1, 1, 9, 229 Sort -4, 4, 3, -2, -211, -153 in decreasing order. 4, 3, -2, -4, -153, -211 Sort 1, -9, -2, -8, 26, 5 in decreasing order. 26, 5, 1, -2, -8, -9 Put -11, -2, 3, 45, 24, 1 in descending order. 45, 24, 3, 1, -2, -11 Put -4, -2/14375, 9/2, -3 in descending order. 9/2, -2/14375, -3, -4 Put 1, 5, 6, 0, 801 in ascending order. 0, 1, 5, 6, 801 Sort -2/15, 0, -293, 1/7, -0.3 in descending order. 1/7, 0, -2/15, -0.3, -293 Put -2/7, -2, -1/6, 4, 2/9, -3/241 in ascending order. -2, -2/7, -1/6, -3/241, 2/9, 4 Sort 107, -5, -4, 5, -1 in decreasing order. 107, 5, -1, -4, -5 Put 47, 2, 39, 0 in increasing order. 0, 2, 39, 47 Put 0, 16/15, 33/2, 3, -3 in increasing order. -3, 0, 16/15, 3, 33/2 Sort 1, 15, -287 in decreasing order. 15, 1, -287 Sort -10, -1, -3, -7, 2 in decreasing order. 2, -1, -3, -7, -10 Sort 4/5, 0.39036, -2/11, 0.4, -5 in ascending order. -5, -2/11, 0.39036, 0.4, 4/5 Put 6, 0.12, -18, 4 in decreasing order. 6, 4, 0.12, -18 Put -2/23, -261, -1/2, 6 in decreasing order. 6, -2/23, -1/2, -261 Put -1.7, -4, 2/5, 4/7, 5 in descending order. 5, 4/7, 2/5, -1.7, -4 Sort 7, -3, 3, -131, -11, -2 in decreasing order. 7, 3, -2, -3, -11, -131 Put -3, -9, -229/17, -0.1, 3 in increasing order. -229/17, -9, -3, -0.1, 3 Put -7.2, 34.6, 0, -5 in ascending order. -7.2, -5, 0, 34.6 Put -1, 1797, -1/3, 19 in decreasing order. 1797, 19, -1/3, -1 Sort -20, 4, -1, -5, 0, -22 in ascending order. -22, -20, -5, -1, 0, 4 Sort 0.0475, -9/5, -2/9. -9/5, -2/9, 0.0475 Sort 2, -4, -1, 15, 0, -16. -16, -4, -1, 0, 2, 15 Sort 205, -2, 19 in ascending order. -2, 19, 205 Put 0.1, 90, 1051 in decreasing order. 1051, 90, 0.1 Sort -1636, -1, 1, 0 in descending order. 1, 0, -1, -1636 Put 8, -2/19, 2/13, 1.364 in increasing order. -2/19, 2/13, 1.364, 8 Sort 3, -0.5, 31/2, -0.19 in increasing order. -0.5, -0.19, 3, 31/2 Sort -229, -22, 5, -3 in ascending order. -229, -22, -3, 5 Put -1, 14, 2/7, 2, -3 in descending order. 14, 2, 2/7, -1, -3 Sort 670, 0.2, 4/5 in ascending order. 0.2, 4/5, 670 Sort 8, -1031, -5, 5 in decreasing order. 8, 5, -5, -1031 Sort -0.1, -22, 1126 in descending order. 1126, -0.1, -22 Sort -0.04, -2/11, -3/62, 4 in ascending order. -2/11, -3/62, -0.04, 4 Sort 2, -10, -7, -11 in increasing order. -11, -10, -7, 2 Put -1, 0.027, 543/7 in descending order. 543/7, 0.027, -1 Sort -19145, -5, -3 in descending order. -3, -5, -19145 Put 1, 3, -68/3, -49, 4 in increasing order. -49, -68/3, 1, 3, 4 Sort 3764, -25, 4, -5 in decreasing order. 3764, 4, -5, -25 Sort 4/3, -5, 3254 in descending order. 3254, 4/3, -5 Sort -2, 0.01, 0.1, -0.4, -0.5, 89 in increasing order. -2, -0.5, -0.4, 0.01, 0.1, 89 Put -13, 88, 281 in increasing order. -13, 88, 281 Sort 264, 7/6, 1. 1, 7/6, 264 Sort 0, 13, 5, 54 in descending order. 54, 13, 5, 0 Sort 52, 1/3, 0, 5, -89 in ascending order. -89, 0, 1/3, 5, 52 Put -1/3, -8, -21, 0.1, 2, -2/15 in ascending order. -21, -8, -1/3, -2/15, 0.1, 2 Sort -153, 4, -1, 373, 0. -153, -1, 0, 4, 373 Sort 5, 117, 2, -3, -1, 101. -3, -1, 2, 5, 101, 117 Put -5, -14, -39 in descending order. -5, -14, -39 Sort 0, -25, 8, -55, 4 in increasing order. -55, -25, 0, 4, 8 Put 3, -3, -78, 19, -29 in ascending order. -78, -29, -3, 3, 19 Sort 4, -0.3, 484, 2/15, 0.06 in ascending order. -0.3, 0.06, 2/15, 4, 484 Sort 216, 2, -470, 1 in decreasing order. 216, 2, 1, -470 Sort 680, -3, 5, -2, -1, 0 in decreasing order. 680, 5, 0, -1, -2, -3 Sort 3/5, -5/6, 2/3, -5/3, 1/2, 4 in increasing order. -5/3, -5/6, 1/2, 3/5, 2/3, 4 Sort -1.4, 87, -3, -0.3 in descending order. 87, -0.3, -1.4, -3 Put 2, 48, 1, -317 in increasing order. -317, 1, 2, 48 Put -4, -5, -388 in descending order. -4, -5, -388 Sort -2/5, 47/5, -0.97, 0.2 in descending order. 47/5, 0.2, -2/5, -0.97 Put -5, -23, 9, 6 in increasing order. -23, -5, 6, 9 Sort 0, 23, 0.3, 127 in ascending order. 0, 0.3, 23, 127 Put -8, 0.01, -1, 3/7, 25 in decreasing order. 25, 3/7, 0.01, -1, -8 Put -5, 3, 296, -10, -14 in decreasing order. 296, 3, -5, -10, -14 Put 5, -7, 0, -23, -22 in decreasing order. 5, 0, -7, -22, -23 Sort -1, 7, 6, 0, 36 in increasing order. -1, 0, 6, 7, 36 Sort -8, 0.5, -29.2, 20 in descending order. 20, 0.5, -8, -29.2 Sort 0, -10, -1258, -5 in descending order. 0, -5, -10, -1258 Put -5, -4, 0, 428807 in descending order. 428807, 0, -4, -5 Put 2, -22, -2, 513 in decreasing order. 513, 2, -2, -22 Put 5, -5, 2319/8, 0.5, 0.4 in descending order. 2319/8, 5, 0.5, 0.4, -5 Put -5, 56, 33, 12/7 in descending order. 56, 33, 12/7, -5 Sort 4, 644, -545. -545, 4, 644 Put -3, 4, 922, 2/29, -2 in decreasing order. 922, 4, 2/29, -2, -3 Put 4, -4, -6, -5, 2 in decreasing order. 4, 2, -4, -5, -6 Sort 3421, -5, -9. -9, -5, 3421 Sort 15, -2, 370 in descending order. 370, 15, -2 Sort 3, 56, -418 in decreasing order. 56, 3, -418 Sort 18, 199, -3, 2 in descending order. 199, 18, 2, -3 Put 11644, 6, -4 in descending order. 11644, 6, -4 Put -4, 4497, 2 in decreasing order. 4497, 2, -4 Sort -2/5, -5.2, -33/4, -32. -32, -33/4, -5.2, -2/5 Sort 25704, -22, -3, -2 in decreasing order. 25704, -2, -3, -22 Sort -11363, -4, 0 in increasing order. -11363, -4, 0 Sort 4, 0, -5, 61, 144 in descending order. 144, 61, 4, 0, -5 Sort -26, -5356, -1, 5, -3 in descending order. 5, -1, -3, -26, -5356 Sort -930, 1/5, 7/5, 3 in increasing order. -930, 1/5, 7/5, 3 Sort 4, -0.1, 1/3, 0.7, -469, -4. -469, -4, -0.1, 1/3, 0.7, 4 Sort 0, -1294, -1, 6, 2 in ascending order. -1294, -1, 0, 2, 6 Put 0, 17, 9, -30, -3, -4 in decreasing order. 17, 9, 0, -3, -4, -30 Sort -3, -1/8, 1/33, 19.5 in descending order. 19.5, 1/33, -1/8, -3 Sort 2775, -2/39, -24. -24, -2/39, 2775 Put -4, 8, 3, 73, 53, -5 in increasing order. -5, -4, 3, 8, 53, 73 Sort -9, 5, 24, 1, 2. -9, 1, 2, 5, 24 Sort -91, -4, -5, 1, 14 in decreasing order. 14, 1, -4, -5, -91 Sort 0, -2, 5, -5, 16, 2 in decreasing order. 16, 5, 2, 0, -2, -5 Sort 22, -7, 2, -282 in increasing order. -282, -7, 2, 22 Sort 7, 13, -5, -1, 4. -5, -1, 4, 7, 13 Sort -3, 12, 7500 in increasing order. -3, 12, 7500 Put 7, 3, -13, -3, 2, -17 in descending order. 7, 3, 2, -3, -13, -17 Sort 4, 1.9, -0.1, 20 in descending order. 20, 4, 1.9, -0.1 Sort -0.02, 1.138, 4, 0.2, 0.1 in increasing order. -0.02, 0.1, 0.2, 1.138, 4 Sort -4/3, -34/7, 0.1, -14.36, 0. -14.36, -34/7, -4/3, 0, 0.1 Put -19.906, -1/5, 3/2, -17, 1/3 in decreasing order. 3/2, 1/3, -1/5, -17, -19.906 Sort 1, 75, -0.1, -0.5, -59 in descending order. 75, 1, -0.1, -0.5, -59 Put 2, -9, -793 in increasing order. -793, -9, 2 Sort 0.3, 15/11, 0.38 in increasing order. 0.3, 0.38, 15/11 Sort 119, 152, -1 in descending order. 152, 119, -1 Put -2, 190, 15, 2, -4, 3 in descending order. 190, 15, 3, 2, -2, -4 Sort 3, -3, -712, 6, -22 in descending order. 6, 3, -3, -22, -712 Sort -5, 17, 0, -18, -2, 5 in ascending order. -18, -5, -2, 0, 5, 17 Put 0, 1, -9, 34, -4, 3 in increasing order. -9, -4, 0, 1, 3, 34 Sort -7453, 1, -6 in increasing order. -7453, -6, 1 Sort -2, 3, -1092, 0. -1092, -2, 0, 3 Sort -22, 9, -12/11, -3/5. -22, -12/11, -3/5, 9 Sort -1, -3, 5, 3, 656 in decreasing order. 656, 5, 3, -1, -3 Sort 5, 21, -2, -473 in descending order. 21, 5, -2, -473 Sort 0, 517, 1, -2 in decreasing order. 517, 1, 0, -2 Put -29, 533, 3 in ascending order. -29, 3, 533 Sort 14498, 1, 4. 1, 4, 14498 Sort 1/2, 118.6, -5 in decreasing order. 118.6, 1/2, -5 Sort -2, -1/6394, 0.5. -2, -1/6394, 0.5 Put 1, -6263, 4 in descending order. 4, 1, -6263 Put -19, 1, -3, -1, 4, -28 in increasing order. -28, -19, -3, -1, 1, 4 Sort 1/4, -2/17, 4.3 in descending order. 4.3, 1/4, -2/17 Sort 43, -13, -7/4, -10 in decreasing order. 43, -7/4, -10, -13 Sort 841, -2932, -4 in descending order. 841, -4, -2932 Sort -15, -5/2, 17, -4, 5. -15, -4, -5/2, 5, 17 Sort 230, -0.2, -323 in ascending order. -323, -0.2, 230 Put -0.1, -18, -11, -118 in descending order. -0.1, -11, -18, -118 Put -22, -21, -3, 5, 1 in decreasing order. 5, 1, -3, -21, -22 Sort -5, 21968, 7. -5, 7, 21968 Put -14, 3, 3/35, -0.01, 0.3, 0 in decreasing order. 3, 0.3, 3/35, 0, -0.01, -14 Sort 9, -5, -5250 in decreasing order. 9, -5, -5250 Sort 0.1, 9, 4498, -3. -3, 0.1, 9, 4498 Put -3, 11, -2, 1, 12, -12 in descending order. 12, 11, 1, -2, -3,
{ "pile_set_name": "DM Mathematics" }
. Calculate the highest common factor of b and 27. 27 Suppose -2*w + 4*w = 84. Let d = -31984 - -32362. What is the greatest common divisor of d and w? 42 Suppose -36*b = -82*b + 6992. What is the highest common factor of b and 57? 19 Let r = 8 - 0. What is the greatest common divisor of r and 100? 4 Suppose 0*c + 7 = 3*n - c, -4*n + 2*c = -6. Let a be 247 - (3 + (9/3 - n)). Calculate the highest common factor of a and 35. 35 Let k be -177*(-4)/174 + (-78)/1131. Calculate the highest common divisor of k and 704. 4 Let f be (12*1 - 1) + 2. Let k be (10/150 + (-6423)/(-180))*4. What is the highest common factor of f and k? 13 Let r = -51 - -72. Let j(a) = -15*a + 12. Suppose -2*b = 2*b + 36. Let w be j(b). What is the greatest common factor of w and r? 21 Let n be 12*(-4)/(-12)*2. Suppose -13*d = -n*d - 260. Calculate the greatest common divisor of 13 and d. 13 Let c(y) = 7*y - 5. Let n be c(-5). Let v = -25 - n. What is the greatest common divisor of v and 45? 15 Let m = -1 - -2. Let d(x) = x**2 - 2*x - 19. Let o be d(6). Suppose -21 = o*h - 8*h. Calculate the greatest common factor of m and h. 1 Let b(v) be the second derivative of 8*v - 21/2*v**2 - 7/6*v**3 + 0. Let o be b(-19). Calculate the highest common divisor of 16 and o. 16 Let b be 6/4 + (-7209)/(-18). Suppose 5*p - 5*d + 529 = 139, -d = 5*p + b. Let x be p/(-6)*(-24)/(-5). Calculate the greatest common factor of x and 16. 16 Let z = 28 + -42. Let r be 22/3 - z/21. What is the greatest common factor of r and 40? 8 Let a(y) = -22*y - 3. Let z be 8/10 - (-133)/(-35). Let i be a(z). Suppose 4*d = 59 - 23. Calculate the greatest common factor of i and d. 9 Suppose -6*f - 1 + 13 = 0. What is the greatest common factor of 38 and f? 2 Suppose 2*q + 3*v - 35 = 0, -4*q + 0 = -v - 35. Calculate the highest common divisor of 50 and q. 10 Suppose 7*a + 3 = 73. Suppose -4*p + 5*x = 93, -3*p - 3*x = 2*p + 144. Let m = p + 47. What is the greatest common divisor of a and m? 10 Let v = 2 - -3. Suppose 0 = -z + 4*b + 31 + 15, -3*b = 3*z - 108. Suppose z = v*x - 17. Calculate the highest common divisor of x and 11. 11 Let r(b) = -12*b**2 - 30 - 2*b - 3*b**2 + 9 - b**3. Let s be r(-15). Calculate the highest common divisor of 81 and s. 9 Suppose -3 = -c - 2, 5*u + 5*c = 130. Suppose 36 = -3*b - x + 146, 0 = 4*b + x - 145. Let j = b - -15. What is the greatest common factor of j and u? 25 Let f be (-3096)/645*50/(-6). Calculate the highest common factor of 660 and f. 20 Suppose 5*l - 65 = 3*m, m + l = 4*m + 49. Let r = 2 - m. Suppose -15 = -2*c + 53. What is the greatest common divisor of r and c? 17 Let l = 19 + -30. Let v = l - -22. Let b(k) = k**3 - 10*k**2 - 10*k - 9. Let t be b(v). Calculate the highest common factor of t and 22. 2 Let x(q) = -15*q + 34. Let j be x(14). Let c be (j/33)/(2/(-3)). What is the highest common divisor of 8 and c? 8 Let s = -61 - -251. Suppose 757 - 529 = 6*t. Calculate the highest common divisor of s and t. 38 Let p be (-64)/48*(-9)/6. Suppose 4*u - 64 = -p*q, 0 + 21 = u - 2*q. Let h be (70 + -2)/(1/2). Calculate the highest common factor of h and u. 17 Suppose -48*t - 666 = -57*t. Calculate the greatest common factor of 148 and t. 74 Suppose 15 = 3*x, 6*g - x = g + 70. Suppose -38*w + 646 = 76. Calculate the greatest common factor of g and w. 15 Let b = -72 - -77. Suppose -b*s = -284 + 74. Suppose 9 = 2*n - 3. Calculate the highest common divisor of s and n. 6 Suppose -8*b = -7*b + 3. Let x = b + 7. Suppose x*q = -2*s + 926, -4*s - 561 = -2*q - 103. What is the greatest common factor of q and 21? 21 Suppose 6*d + 84 = 2*d. Let i = 6 - d. Let p be ((-60)/28 + 3)*21/1. What is the greatest common divisor of i and p? 9 Suppose 3*s - 234 = 3*h - h, -2*s + 169 = 3*h. Let u(b) = 4*b + 32. Let n be u(0). What is the greatest common factor of n and s? 16 Let c = -71 - -73. Suppose 2 = -z, -b = c*b + z - 955. What is the highest common divisor of 29 and b? 29 Suppose -202*m = -206*m - 4, 4*y + 2*m = 34. What is the greatest common divisor of y and 1611? 9 Let x = -22 + 180. Calculate the highest common factor of 237 and x. 79 Let o(r) = -r**2 + r + 14. Let j be o(-6). Let c be j/98 - (-2)/7. Suppose -3*x + 3 = c, -3*v + x = -0*x - 44. What is the highest common divisor of 135 and v? 15 Let g be 2/4*(1 + -1). Let y be (4/6 + g)*15. Let f(c) = 2*c**2 + 13*c - 165. Let v be f(-13). What is the highest common factor of y and v? 2 Let f(r) = 4*r**2 + 41*r - 9. Let j be f(-12). Calculate the greatest common divisor of 60 and j. 15 Let r be 25 + 0 + 0/3. Suppose -r + 23 = -l. Calculate the highest common divisor of 8 and l. 2 Let o be 5 - 148/28 - (-466)/14. What is the highest common factor of 143 and o? 11 Suppose 0 = 4*u - u - 12. Let w be (u/(-5))/((-4)/30). Let z = 12 - w. Calculate the highest common factor of 24 and z. 6 Let k = -176 + 264. Let a = 348 + -340. Calculate the highest common divisor of a and k. 8 Suppose w - 6 = -3. Let y be 6/(-2) + (w - -2). Suppose 4*x - y*x = -4*s + 44, -5*x = -2*s + 34. What is the greatest common divisor of s and 132? 12 Suppose -3*y + d = -y - 138, -d + 202 = 3*y. Let l be 1/(1*(-1396)/700 - -2). Suppose 4*k + 15 = k, 5*c - k = l. What is the highest common divisor of y and c? 34 Let p be 22/143 + (616/52 - 2). Calculate the highest common divisor of p and 25. 5 Suppose 3*y - 56 = 2*s, 4*y - y - 5*s = 41. Suppose -x - x + 3*z = -13, -3*x = -2*z - y. What is the greatest common factor of x and 104? 8 Suppose -2*x - 30 = -8*x. Let d(s) = 4*s**2 - 3*s + 3. Let r = -10 - -14. Let o be d(r). Calculate the highest common factor of o and x. 5 Let j be (25 + 317)/(2/3). Calculate the greatest common factor of 27 and j. 27 Suppose -r - 11 = -49. What is the greatest common divisor of r and 418? 38 Suppose 58*c - 51*c - 196 = 0. What is the highest common factor of c and 364? 28 Suppose -4*p + 17 = -5*i + 40, -5*i - 3*p = -9. Suppose -5*d + 8 = i, 2*d = 4*l - 126. Calculate the highest common divisor of 4 and l. 4 Suppose 0 = 4*i - 7*o + 2*o - 95, -5*i + 130 = 5*o. Calculate the greatest common divisor of 325 and i. 25 Let z(y) = 32*y**3 + 3*y**2 - 2*y + 2. Let m be z(2). Suppose 4*i - u = m, -2*u + 190 = 3*i + 2*u. What is the greatest common factor of i and 44? 22 Let j = -86 + 137. Suppose f - j + 12 = 5*k, 0 = -3*f - 5*k + 137. Calculate the highest common factor of f and 110. 22 Suppose -5*v - 252 = -3*r, -r + 0*r = v - 84. Let t = r + -18. What is the greatest common factor of 33 and t? 33 Let f = -17 - -13. Let k be 33/5 + f/(-10). Let d be 15 - (1 - -1 - 1). Calculate the greatest common factor of d and k. 7 Suppose -5*d = -2*y + 15, 0*y - 25 = -4*y + 5*d. Let m(c) = 5*c**2 + 6*c - 1. Let f be m(y). Let a = -262 + 284. What is the highest common factor of a and f? 22 Let n(u) = -11*u + 8*u + 11*u - u**2 - 2. Let m be n(6). Let x be ((-2)/2)/(2/(-30)). Calculate the greatest common factor of x and m. 5 Let h(o) = -o**3 + 6*o**2 - 4*o + 4. Let t be h(6). Let s be t + (-4)/(-4) + 4. Let q be ((-12)/s)/(2/5). What is the greatest common divisor of 3 and q? 1 Let y = 113 + -122. Let o = y + 27. Calculate the highest common divisor of o and 108. 18 Suppose 0 = 2*g + 3*w - 12, 55 - 55 = -4*w. Let v = 4 + -7. Let k be v/((-2)/4 + -1). Calculate the highest common factor of k and g. 2 Let q be 12/27 - (-1736)/63. Calculate the highest common factor of q and 196. 28 Suppose -l - 4*l - 2*v = -138, -40 = -2*l + 3*v. Let k = 40 - l. Calculate the greatest common factor of 21 and k. 7 Let g be (43/(2150/160))/(1/35). Calculate the highest common factor of 176 and g. 16 Let x = 149 - 157. Let h be (-5)/(x/68 - (-15)/(-17)). Let k be 14/((-16)/10 - -2). Calculate the greatest common divisor of h and k. 5 Let z(j) = 5*j - 41. Let g be z(13). Let i be -32*3/(-8 - -2). What is the highest common divisor of i and g? 8 Let d(h) = -2*h**2 - 15*h + 1. Let r be d(-5). What is the highest common divisor of 143 and r? 13 Suppose s - 28 = -b + 3*b, 3*s - 3*b = 81. Suppose -g = -c + s, -4*g + 41 + 23 = 2*c. Suppose -14 = 10*l - 12*l. What is the highest common factor of l and c? 7 Let v = 23 - 3. Suppose -2*s = -3*z + 2*s + 7, 4*s = v. What is the highest common factor of z and 81? 9 Let a(c) = -11*c + 20. Let l be a(-5). What is the highest common factor of 60 and
{ "pile_set_name": "DM Mathematics" }
409 - 407.8. Let d = -1.1 + u. Which is the closest to 4? (a) -0.2 (b) d (c) 0.4 c Let q be 39/65*(-10)/(-36). Let x = -3.9543 + -0.0457. What is the nearest to -1/3 in x, q, -1? q Let w = 457 - 457.141. Let u = -0.241 - w. What is the closest to u in -1/7, -2/15, 0.2, -3/2? -2/15 Let b = 36933 + -36938. What is the closest to b in 2, -0.1, 0.05, 0? -0.1 Let n = -20 + 19. Let q be (-245)/294 + 74/60. What is the closest to 2 in 1/3, n, q? q Let f = 94.71 - 94.71. What is the closest to -38 in -1, 8, f? -1 Suppose -179*u - 606 = 110. Let q = -2 - -2.04. Let d = q - -0.96. Which is the closest to d? (a) u (b) 4/3 (c) -1/3 b Let s be (-1 + (-6)/(-2))*(-1)/(-1). Let i = -0.1 - -0.2. Let t = -70 - -73. Which is the nearest to i? (a) t (b) -3 (c) s c Let d = -184 + 182. Let i be 10/(-105) - (-856)/168. Which is the nearest to -8/15? (a) i (b) -0.2 (c) d b Let m = -11517.8 - -11515.8. Let y be ((-6)/8)/(7/4). Which is the nearest to 1? (a) y (b) 2/21 (c) m b Let u be (-2852)/(-1740) - 20/12. Let z = u + -254/1305. Let x = -20 + 19. What is the nearest to -2 in x, z, 0? x Let m be (-3)/1*(-20)/(-6). Let k be 4/m + (-9)/(-15). Let g = 0.6652 - 0.7152. Which is the nearest to k? (a) -1/2 (b) g (c) 2 b Let y be -3*(-2 + (-123)/(-63)). Let p = 0.1136 + 2.8864. Which is the nearest to -1? (a) p (b) -1 (c) y (d) 1/4 b Let p = -417.9 - -418.1. What is the closest to -0.1 in p, -137, 0.1? 0.1 Let r = 0.08217 + -3.08217. Let p = 58 + -58.3. Let z = 0.1 - 0.1. Which is the nearest to -11? (a) r (b) z (c) p a Let j(h) = h**3 + 12*h**2 - 4. Let d be j(-12). Let s be ((-8)/(-5))/(d/10). Let i be (1/8)/(s/24*2). Which is the nearest to -2? (a) i (b) 1/2 (c) -1/5 a Let g = -12 - -13. Suppose -8 = -4*n + 2*o, 3*o - 7*o = 4*n - 32. Let v = 1 + 1. What is the nearest to 2 in v, g, n? v Let z be (-12)/3 + (7 - (0 - -1)). Let v = -63 + 63.089. Let w = -0.389 + v. What is the nearest to -0.1 in z, w, -4? w Let m = -276.3 + 278.3. Let u be ((-2)/(-4))/(2/20). What is the closest to -3/7 in u, -1/5, m? -1/5 Let w = -53 + 56. Let u be (-2)/5*(-25)/(-35). Let v = 4 - 4.2. Which is the nearest to u? (a) w (b) -2 (c) v c Let q = -3.79283 + 3.89283. Let n = -2 - -1. What is the closest to q in 4/5, 4, 7/3, n? 4/5 Let n(v) = -v**3 - v**2 + 2. Let f = -163 + 163. Let j be n(f). What is the closest to j in -39, 0.4, -2/3? 0.4 Let r = -75.5 + 75. Let l = -1 + -15. Let y be l/(-48) - 7/12. Which is the nearest to y? (a) r (b) 0.3 (c) -2 a Let p = -5724 + 5728. Which is the nearest to -11? (a) -58 (b) p (c) -0.5 c Let t = 443.87 - 441.87. Which is the closest to -1? (a) -69/19 (b) -1 (c) t b Suppose 4*b - 645 = -649. Let d = 390 - 6632/17. What is the nearest to -0.13 in b, 0.3, d? d Suppose -4*m - 25 = -0*y - 3*y, 3*y - 4 = m. Let q be ((-18)/(-10))/((-45)/18 + 7). Which is the nearest to -2? (a) q (b) m (c) -1 c Let o = 28 + -10. Suppose 45 = o*z - 33*z. Which is the closest to -1/4? (a) -0.2 (b) -0.03 (c) z a Suppose -175*i + 476*i - 903 = 0. Which is the closest to 0.4? (a) 2 (b) -1.76 (c) 2/17 (d) i c Let f(v) = v**2 - 5*v. Let s be f(4). Let m = 1796.11 - 1796.41. Which is the closest to 2/11? (a) m (b) s (c) -0.5 (d) -1/3 a Let c = 378 + -7. Let d = 374 - c. What is the nearest to 3 in 4, 2/7, d, -1? d Let t be (0 - 1)*(-2)/(-3). Let l = -670714 - -670717. Which is the closest to t? (a) 2/15 (b) -12 (c) l (d) 5 a Let q = 9702.1 + -9702.1. Let n = 4 - 5. Let i = n - -0.9. What is the closest to i in -1, q, 3/8? q Suppose -3*r - 9 = -4*z - 13, -r - 4*z + 28 = 0. What is the nearest to 2/7 in 1/5, -4/5, r? 1/5 Let m = 151 + -150.847. Let y = 61.847 + m. Let x = y - 63. Which is the nearest to x? (a) 2/5 (b) -2/5 (c) 1/18 b Let s be (-3 - 76/(-24))/(20/(-120)). What is the nearest to 3/23 in s, -3, -0.2, 0.1? 0.1 Let q(k) = -16*k**2 - k + 1. Let g be q(-1). Let u be (-1)/(4/g) + -4. Suppose -2*o - 2 = 3*i, 16*i = 17*i - 2. What is the closest to 1 in u, o, -1/5? -1/5 Let x = -1106 + 1101. Let k be (-9)/(-21) + -3*4/(-21). What is the nearest to -132 in -1/2, k, x? x Let k = 0.13465 + -2.13465. What is the nearest to 0 in 1, k, -202? 1 Let r = -94 - -95. Let j = 41.5 + -42. Which is the closest to -0.4? (a) 0.2 (b) j (c) r b Let k be (-9)/8*6*12/(-216). Which is the nearest to -2? (a) -1.1 (b) 0.4 (c) k a Let x be (-52)/(-24) - 110/44. Which is the closest to 5? (a) -9/13 (b) 0 (c) x (d) -3 b Let p be -3 - ((-2)/(-8) - 1140/400). Let w = 5/39 - 74/273. What is the nearest to -1 in -0.3, w, p? p Let b = 0.1613 + 0.3387. What is the nearest to -0.3 in b, -3, 1.1? b Let m be 1819/(-1224) - (-1)/9. Let q = -190217/40 - -23786/5. Let a = m + q. What is the closest to -1 in a, -2/7, -1/3? -1/3 Let q = -5 + 6. Let i = -228 + 226.18. Let f = i - -1.42. What is the nearest to f in -3, q, -8/5? -8/5 Let p be (2/(-8))/(((-10)/(-2132012))/5). Let z = p + 526074511/1974. Let b = z - -1/141. What is the nearest to b in 4, -5, -0.5? -0.5 Let i = -58.75 - -102.75. What is the closest to 0 in 1, i, 0? 0 Let d = 62.49 + -2.29. Let a = 60.4 - d. What is the closest to 8 in a, 2/5, -2? 2/5 Let s = 2 + -8. Let x = -17498/105 - -3508/21. Which is the nearest to 0? (a) x (b) -3/4 (c) 0.1 (d) s c Let k = -3 + 3.2. Let y = -4275 + 4275. Let m(n) = 2*n**2 - 5*n + 3. Let l be m(2). What is the closest to y in k, l, 2? k Let o = 24305453/114 + -213204. Let m = -36/19 + o. What is the closest to -1/6 in 4, m, 2/7? m Let t = 270 - 260. Suppose -3*s + 4*q + 12 = -7*s, 4*s = -3*q - t. Which is the closest to s? (a) 4 (b) 0.1 (c) -3/10 c Let v = -3659 - -3654. What is the closest to 1/26 in -0.1, -9, v? -0.1 Let h be (3 + -1)/(3 - (-71)/(-24)). Suppose -t - h = 2*d - d, 3*d - t = -128. Let i be (1/(-9))/(22/d). What is the nearest to 0.1 in 4, i, -3? i Let q = -2/425 + 864/2975. Let p = 85 - 35. Let n = -38 + p. Which is the nearest to -1? (a) q (b) n (c) 0.3 a Let g = 0 - 1. Let w = 63730 - 63729.5. Which is the closest to -0.2? (a) -2.2 (b) w (c) g b Suppose 5*u + 4*y = -12, 62*y - 60*y = 4. What is the nearest to -10 in -0.2, -3/5, u? u Let h be (6/4)/((-15)/4). Let o be ((-65)/26)/(26/(-52)). What is the nearest to 0.3 in h, 0.4, o? 0.4 Let o = -35214 + 35214. Which is the nearest to o? (a) -2 (b) -0.3 (c) 3/8 (d) -1 b Let o = 3.1 - 3.15. Let p = o - -0.15. Let t be 86/36 + (-1)/(-9). What is the closest to -1/2 in t, p, -1/2? -1/2 Let o = 11585 + -11584.5. Which is the nearest to 2? (a) -1 (b) o (c) 3 (d) -88 c Let q = -360.4 - -354.4. What is the closest to -112 in 0.5, 2/9, -1/7, q? q Let v = 0.14 + 1.61. Let x = 50 - 49.75. Let w = v + x. Which is the nearest to -0.2? (a) w (b) 1/3 (c) -5 b Let a = 0.075 + -174.075. Let m = -178 - a. What is the closest to -1 in 3, -3, m, 0.2? 0.2 Let j = 355 + -356. What is the nearest to 0 in 3.2, j, -0.5, 2? -0.5 Let w = -20 - -18.88. Let t = w - -0.12. Let y = -76 - -75. What is the nearest to t in 1/5, -2/7, y? y Let o = -4789 + 4790. Which is the nearest to -754? (a) 0.2 (b) o (c) -3/4 (d) -0.2 c Let t = -16 - 672. Let w = t + 2066/3. Which is the nearest to w? (a) -5/7 (b) -4 (c) 0 c Let f = -114 + 114. Let p = -16.4 + 16.7. What is the nearest to 1 in f, p, -52? p Let f = 141.5 - -260. Let o = -401 + f. Which is the closest to 0.1? (a) 27 (b) o (c) 0.3 c Let y(g) = g**2 - 8*g - 5. Let s be y(8). Let d = s - -7. Let u = 12/421 - -710/4631. Which is the nearest to 0? (a) u (b) d (c) -0.5 a Let k = -13361 + 12678. Which is the closest to k? (a) -1/6 (b) -1/3 (c) -5/3 c Let u = -227.96184 + 3.97284. Let w = -224 - u. What is the closest to 1 in 1/3, w, -0.1? 1/3 Let g be (3/(-10))/(-19 - -40). Which is the nearest to 0.1? (a) -3/14 (b) -5 (c) g c Suppose -l = -3*m + 5, l - 3 = 5*m - 12. Let n = 191607/4 - 47901. Which is the closest to 1? (a) 4/7 (b) n (c) l c Let q = 1113.6 - 1115.6. Which is the closest to -78? (a) 2 (b) 18 (c) q c Let m = 65171/4 - 16294. What is the nearest to -3 in 0.07, -8, -4, m? -4 Let f = -128/207 + -217/207. What is the closest to f in 1/5, 16, -1/5, -5? -1/5 Let r = -333181/11 - -30289. Which is the closest to 43/3? (a) r (b) 3/2 (c) 0 b Let h = -1.055754 + 0.055754. Let k(u) = u**2 - 7*u - 6. Let w be k(6). Which i
{ "pile_set_name": "DM Mathematics" }
5*k - 6. Let d be m(5). Let r(c) = c**2 + 6*c + 2. Let f be r(d). Suppose -3*n - f*n + 2*b + 7 = 0, -2*n - 2 = -2*b. Solve -x = -n*x for x. 0 Suppose 48*x = 144*x. Solve -11*c - 5*c = x for c. 0 Let u(n) = n**3 + 7*n**2 - 5*n - 63. Let t be u(-6). Suppose 4*r - 69 = -7*y + 4*y, 3*r = -t*y + 54. Solve 12*h = r*h + 3 for h. -1 Let u(h) = 13*h**2 + 8*h - 155. Let c(x) = 7*x**2 + 5*x - 78. Let z(s) = -11*c(s) + 6*u(s). Let t be z(13). Solve -5*y + t + 14 = 0 for y. 4 Let q = 4 - 0. Suppose 3*i + 525 = 522. Let k be (2 - q)*(-2 - -4)*i. Solve -3*g = -k*g for g. 0 Let d be (-1042)/4 + (-76)/152. Let i = d - -267. Solve -j = 3 - i for j. 3 Let k(l) = 4*l + 36. Let v be k(-21). Let q = v - -64. Let h be 8/q - (-43)/2. Solve -4*t = h - 2 for t. -5 Let a = 19109 + -19099. Solve 27*d + a = 37*d for d. 1 Let q = -3406 + 3454. Solve 0 = 7*o + 9*o + q for o. -3 Let w(v) = -242*v**2 + 3*v - 7. Let s be w(3). Let l be s/(-52) - (-4)/26. Let p be l/8 + (-11)/44. Solve p*r - 15 = 2*r for r. 5 Suppose 221*i - 216*i = 25. Suppose 3*h - 4*o - 5 = 0, i*h - 32*o + 33*o = 16. Suppose 4*f + 24 = 5*p, 3*f = -2*p + 5*f + 10. Solve h = 3*b - p*b for b. -3 Let h(p) = p**2 + 10*p - 6. Let s be h(-11). Suppose -89 = -s*f + 116. Let r = f + -32. Solve 4*w = r + 11 for w. 5 Suppose 543 = 5*v - 2*d, 4*v + 5*d - 1030 + 556 = 0. Solve 14*s + 23*s + v = 0 for s. -3 Let d be -14 + 28*(-4)/(-8). Solve -2*y + 4*y + 4 = d for y. -2 Let t = -3069 - -3092. Solve -6*r = 1 + t for r. -4 Suppose 0 = 12*z - 2*z - 110. Suppose -4*w + 31 = 3*b, -4*w - 3*b + 4*b + z = 0. Solve 0 = -0*p - 4*p + w for p. 1 Suppose -194 = -46*i - 194. Solve i = 124*l - 120*l + 20 for l. -5 Let u be ((-344)/24 + 18 + -5)*(-471)/2. Solve -u = -37*s - 55 for s. 7 Let w be 10/25 - (-20)/(-50). Suppose 6*y + 103 - 121 = w. Solve y*g - 1 = 2*g for g. 1 Suppose -4*y = 2*j - 8, 0*j = -5*j + y + 9. Let a be j + (1/(-2))/((-2)/(-40)). Let u = a - -28. Solve -3*g + 8*g = u for g. 4 Let u(i) = 4*i + 170. Let w be u(-39). Suppose -3*b + 9 = 0, 3*y + w = 4*b + 2. Suppose -4*s + 4*j = -8, -3*s - 4*j + 14 = -3*j. Solve y = 2*f + s for f. -2 Let b be (2 + 0)/((-5)/(-75)*3). Let w be (-33)/55 + (258/b)/3. Solve -3*k - w = -2 for k. -2 Suppose -5*b = -4*o - 27, 9 = 5*o + 24. Let h = -4943 + 4963. Solve u + b*u = h for u. 5 Let v be ((-44)/12 + 3)*(-8 + 5). Suppose -5*j + 2*t + 3*t = -40, v*j + 2 = -4*t. Solve j*z = 25 - 0 for z. 5 Suppose 61*a - 16873 = 18*a + 1015. Solve 0 = -a*d + 413*d - 9 for d. -3 Let y be (-135)/(-63)*(-14)/(-2). Solve 5*j = 10 + y for j. 5 Let p(n) = -2*n + 30. Suppose 38*s = 35*s. Let r(v) = -v**3 - v**2 + v + 15. Let x be r(s). Let w be p(x). Solve 15 = -w*b + 3*b for b. 5 Let o = 3 + -1. Suppose 3*x = 3*z - o*x - 31, -5*z + 3*x + 57 = 0. Suppose -3*i = -2*y + 24, -y + 10 = 3*i + 25. Solve v = -y*v + z for v. 3 Let t be (-101)/(-3) + (-6)/(-36)*-4. Suppose t*h = 23*h + 60. Solve 8*u = h*u - 8 for u. -4 Let p be 2/(-5 + ((-405)/411 - -6)). Solve 119 = -18*k + p for k. 1 Suppose 4*p + 8 = 6*a - 2*a, -2*p + 2 = -a. Let j(v) = v**3 - 7*v**2 + 7*v + 3. Let q be j(a). Suppose 22*x - 25*x = -q. Solve -4 = -z - x*z for z. 1 Suppose -168 - 95 - 7 = -30*x. Solve x*l + 66 = 57 for l. -1 Let c be (-9)/((-819)/(-26)) - (-1 + (-28482)/21). Solve -1363*i = -c*i + 12 for i. -2 Suppose u - 2*l = 86, 0 = 2*l - 7*l - 40. Solve -18*d = -u + 178 for d. -6 Let v(s) = s**3 + 13*s**2 - 48*s. Let j be v(-16). Suppose 3*m - 5 = 7. Suppose -2*p = d - 4, j = -4*d - m*p + 9 + 19. Solve d - 6 = f for f. 4 Suppose -4*s + 0*i + 5 = -i, -4*i + 6 = -3*s. Suppose -16*o + 261 = -7*o. Suppose -9*h + 25 + o = 0. Solve -4*v - h = -s for v. -1 Let d(z) = -z**2 + 5*z + 1. Let f be d(4). Let j(b) = b**2 + 5*b - 2. Let l be j(-5). Let n be 0/(2 + 2 + l + -4). Solve n*u = u + f for u. -5 Let f be (5/(-10))/((-12)/24). Solve -f = -21*m - 64 for m. -3 Let j(h) = -12*h + 95. Let a(v) = 12*v - 95. Let u(p) = -7*a(p) - 6*j(p). Let n be u(7). Solve -8 = n*q - 9*q for q. -4 Let d = -1352 - -1380. Solve 0 = -29*q + d*q - 1 for q. -1 Let v be (2/(-3))/(2*(-41)/4059). Solve 9*r - 15 = -v for r. -2 Suppose -3*a + 34*m + 14 = 39*m, 4*m = 4*a - 40. Let j be 13 + (3 + -2)*-1. Solve a*n = j*n for n. 0 Let m(f) = 11*f**2 + 10*f + 21. Let k be m(-3). Suppose 3*c - k = 4*z, -c - 3*c = 8. Let q be (-18)/z + 9/4. Solve 5*d + q = -2 for d. -1 Let v(i) = -16*i**3 + 5*i**2 + 25*i + 40. Let x be v(-2). Solve -131*w + x*w = -28 for w. -4 Suppose 3*v = 4*l - 800, -2*v - 601 = -3*l - 0*v. Let n = 214 - l. Solve n*g + 4 = 13*g for g. 2 Let f = 73 - 19. Solve -24*i + f = -114 for i. 7 Suppose -5*r + 5*t + 29 + 61 = 0, -7*t = -28. Let x be ((-20)/8 + 2)*-38. Solve -g = x - r for g. 3 Let c = 9747 + -9711. Solve -12*d = c*d for d. 0 Let q(h) = 24*h + 5. Let i = 248 - 248. Let y be q(i). Solve -y*g = 2 + 8 for g. -2 Let a be (-6)/102 - (-38904)/2448 - (-2)/12. Solve -6*y = -a - 8 for y. 4 Let f = -20 + 29. Let c(o) = -o**2 + o. Let l(m) = 2*m**2 - m - 1. Let q(i) = 7*c(i) + 4*l(i). Let p be q(-5). Solve 0 = 5*w + p + f for w. -3 Let p(u) = -13*u**2 - 197*u + 17. Let t be p(-15). Solve 48*a + 5 = t*a for a. -5 Let z = 10170 + -10139. Let h(m) = -m**3 + 7*m**2 - 10*m + 25. Let q be h(6). Solve 6*i - z = -q for i. 5 Let u = 686 - 638. Solve -106*c = -98*c - u for c. 6 Suppose -18*p - 30*p = -16*p - 256. Solve p - 2 = 6*i for i. 1 Suppose -5*q + 4*s = 457, 2*q + 14*s + 192 = 11*s. Let k = -91 - q. Suppose 3*c + 9 = -4*b - 3, -3*b = -5*c - 20. Solve b = -6*o + k*o for o. 0 Let v(c) = 8*c**3 - 17*c**2 + 15*c + 39. Let p(f) = -11*f**3 + 18*f**2 - 14*f - 38. Let k(u) = -3*p(u) - 4*v(u). Let b be k(-15). Solve b*z = -0*z + 9 for z. 3 Let i = 81 - 77. Suppose 2*c - 2 = -4*d, -i*c - 10 = 2*d + 4. Suppose -d*m = -8*m. Solve -2*p + 8 - 4 = m for p. 2 Let b(i) = 14*i - 261. Let o be b(19). Solve o*x - 132 + 107 = 0 for x. 5 Let d(v) = -5*v**2 - 2 + 0*v + 0 - 3*v + 0 - v**3. Let z be d(-4). Let o(c) = c**3 + 5*c**2 - 7*c - 6. Let x be o(z). Solve 0 = n - x + 1 for n. -1 Let f = 5386 - 5386. Let x = -30 - -35. Solve f = v + 1 - x for v. 4 Let o(y) = y - 1. Let k be (-66)/(-14) - 6/(-21). Suppose 3*h - k*w = 30, -5*h = w - 22 - 0. Let l be o(h). Solve l*i - 16 = -0*i for i. 4 Suppose 25 = -9*t + 205. Suppose 10*o - 7*o - t = 4*b, 2*b = -o. Solve 0 = -o*i + 2*i - 10 for i. -5 Suppose -7 = -3*l - 2*l + 3*k, -4*l - 2*k = -10. Suppose 5*g - 11 = -l*o, o + 8*g - 11*g = 0. Solve -2*s + 5 + o = 0 for s. 4 Suppose -3*k = 2*k - 3*q - 60, 2*q = 2*k - 28. Let b be (-2 + (-236)/(-12))/((-1)/(-6)). Let v = 117 - b. Solve 5*y = -k - v for y. -4 Let c be 220/(-385)*91/(-2). Let w(s) = -s**2 + 26*s + 29. Let l be w(c). Solve -l*n = -34*n - 10 for n. -2 Let g(w) = -20*w + 141. Let n be g(7). Solve 2*y + 7 + n = 0 for y. -4 Let p(f) = 3*f**2 + f - 18. Let n be p(5). Solve -64*z - 6 = -n*z for z. -3 Let o = 9265 + -9256. Solve 0 = -o*z - 7 - 47 for z. -6 Suppose 4*o - 136*w - 1460 = -137*w, o = -w + 362. Solve -363*j = -o*j for j. 0 Let j be (-9)/(-7) + -5*14/245. Let p be (j/1)/(1/42*6). Solve p = -4*h - 1 for h. -2 Let f = 7035 - 7027. Solve 0 = f*k - 13*k + 40 for k. 8 Let a = 75 - 81. Let f be (a + 17 + -11)/(-3 - 1). Suppose 6*c = c + 30. Solve f = b + b - c for b. 3 Let p be (1 + 3/(-6))*24. Let i(m) = m**3 + 15*m**2 - 7*m + 148. Let y be i(-16). Solve -c + y*c = p for c. 4 Let l be (70*(-4)/(-84))/((-2)/(-3)). Solve -l = 17*p + 80 for p. -5 Let z be 76/16 - 2/(-8). Suppose 2*h - 43*g + 48*g = -9, -25 = -5*h - 3*g. Solve 0 = -z*i + 12 + h for i. 4 Let h = -151 - 603. Let i = h + 757. Solve 0 = i*l - 12*l - 27 for l. -3 Let r = -15748 - -15759. Solve -q = -r*q for q. 0 Let o(n) = 82*n + 4516. Let r be o(-55). Solve -282 = 100*l - r*l for l. -3 Suppose 28 = 2*x - 4*f, 2*x + 3*f = 1 + 6. Let g(c) = -c**3 + 14*c**2 - 30*c - 21. Let h be g(5). Suppose 79*u = 104 + h. Solve -x = -2*k - u*k for k. 2 Let q be -4 - ((-18)/(-54))/(2/30). Let b be ((-16)/30 - (-26)/130)*q. Solve -4*t - b = -23 for t. 5 Suppose -5*l = -g + 2, -l + 3 = -3*g - 5. Let k be 21/4 - (90/(-24) - g). Suppose 5*y + k - 26 = 0. Solve -1 + 5 = -y*u for u. -1 Suppose 2 = 13*w + 2. Suppose 479*q - 478*q = w. Solve -12*k + 4 + 8 = q for k. 1 Suppose -4*w + 32 - 24 = 0. Suppose 2*x + x - w*c = 6, 5*x = 3*c + 9. Solve -5*i = -5 - x for i. 1 Suppos
{ "pile_set_name": "DM Mathematics" }
der. 286894, 2, -3 Put -5, -999, 176, 4 in ascending order. -999, -5, 4, 176 Sort 0.05, -14, -2, -5, -0.2 in decreasing order. 0.05, -0.2, -2, -5, -14 Put -4/9, 5/3, -14, 60, 81/2 in ascending order. -14, -4/9, 5/3, 81/2, 60 Put -2/15, 0, 2.88, -1/8 in decreasing order. 2.88, 0, -1/8, -2/15 Put 1/2, -11.0837, 4 in descending order. 4, 1/2, -11.0837 Put -10, 2, -88, 5, -2 in ascending order. -88, -10, -2, 2, 5 Sort 1, 21/5, 93. 1, 21/5, 93 Put -1, -3/7, 6, -73/4 in descending order. 6, -3/7, -1, -73/4 Put 191, -3, 160, 3, 5, -2 in decreasing order. 191, 160, 5, 3, -2, -3 Put 48, -19, 0.4 in decreasing order. 48, 0.4, -19 Put 1, 40, 5, -351, -9, -4 in ascending order. -351, -9, -4, 1, 5, 40 Sort -7, 0, -1, -19, 7 in descending order. 7, 0, -1, -7, -19 Put -4, 5, -651, 0 in increasing order. -651, -4, 0, 5 Put -3, 87, -1431, 0 in descending order. 87, 0, -3, -1431 Sort -2/15, -3, 11842/13, 0.1, 3 in descending order. 11842/13, 3, 0.1, -2/15, -3 Put -5, 0.5, -0.05, 3, -3, -833 in ascending order. -833, -5, -3, -0.05, 0.5, 3 Sort 13, 33, 5, -5 in descending order. 33, 13, 5, -5 Sort 55, -1, 4, -49, 5 in descending order. 55, 5, 4, -1, -49 Sort -0.3, -1.07, -7, 77 in decreasing order. 77, -0.3, -1.07, -7 Sort 403/6, -15, -0.3, -5/4 in ascending order. -15, -5/4, -0.3, 403/6 Sort 1/4, 1/31, -4/3, -0.4, -3, 1/3 in ascending order. -3, -4/3, -0.4, 1/31, 1/4, 1/3 Put -4, 0.138, 15, 69 in descending order. 69, 15, 0.138, -4 Sort -1, -137, 3, -343 in descending order. 3, -1, -137, -343 Sort -220, 5, 2, -413 in decreasing order. 5, 2, -220, -413 Put -2, 67, -1, -440 in decreasing order. 67, -1, -2, -440 Put 2, 5, -0.1, -374, 5/4, 8 in increasing order. -374, -0.1, 5/4, 2, 5, 8 Put -2/3, 1/4, -89, -2, -0.14 in decreasing order. 1/4, -0.14, -2/3, -2, -89 Put 0.5, -354, 2, 7 in increasing order. -354, 0.5, 2, 7 Put 1.1, 2.2, 8, -2/11, -5 in descending order. 8, 2.2, 1.1, -2/11, -5 Put -160, -0.1, -1 in descending order. -0.1, -1, -160 Sort 0.1, 3, -2/149, -0.03 in increasing order. -0.03, -2/149, 0.1, 3 Put -21, -1, 5, 2221 in decreasing order. 2221, 5, -1, -21 Sort 875, -5, -16 in descending order. 875, -5, -16 Put -270, 0, 8, 3 in decreasing order. 8, 3, 0, -270 Sort 1212, 2, -12, 3, -2 in descending order. 1212, 3, 2, -2, -12 Sort 38, -35, -2, -4, 6. -35, -4, -2, 6, 38 Sort -3, 2, -2, -511, -1 in descending order. 2, -1, -2, -3, -511 Put -1259, -5, -2, -10, 5 in decreasing order. 5, -2, -5, -10, -1259 Put -0.075, 0.04, 91, -1/7 in decreasing order. 91, 0.04, -0.075, -1/7 Sort 10, 3, 1, 153, 11 in descending order. 153, 11, 10, 3, 1 Put -520, 0, 2, -21 in decreasing order. 2, 0, -21, -520 Put 132, 0, -2/7, 2/7, -0.08 in descending order. 132, 2/7, 0, -0.08, -2/7 Put 2, -1043, -30 in descending order. 2, -30, -1043 Sort 0, -1, -22, 1 in ascending order. -22, -1, 0, 1 Sort 0.1, -29, 2/9, 38814 in descending order. 38814, 2/9, 0.1, -29 Put 2, -1, -42, 3, 0, 1 in decreasing order. 3, 2, 1, 0, -1, -42 Sort -3, 0, -56, -2, 8 in decreasing order. 8, 0, -2, -3, -56 Put -7, 4, 1, 327, 19 in increasing order. -7, 1, 4, 19, 327 Sort -0.5, 3, 0.3, -2/1453, 4 in decreasing order. 4, 3, 0.3, -2/1453, -0.5 Sort -168, -3, -67, -15, 3 in decreasing order. 3, -3, -15, -67, -168 Put -169, 170, 4, -4 in descending order. 170, 4, -4, -169 Sort -8, -3, 24, -6, 3, -5 in decreasing order. 24, 3, -3, -5, -6, -8 Put 2, 0, -1581, -5, 26 in increasing order. -1581, -5, 0, 2, 26 Put -2, -0.4, -5297 in decreasing order. -0.4, -2, -5297 Sort -4, -4216, 3, -1, 0.05 in ascending order. -4216, -4, -1, 0.05, 3 Put -0.5, 0.2, -7, 31 in descending order. 31, 0.2, -0.5, -7 Sort 4, -20, -5/4, -0.5, 28, 1. -20, -5/4, -0.5, 1, 4, 28 Put -10, -1, 0, 197 in descending order. 197, 0, -1, -10 Sort -0.4, -4, -0.01, 1/10, 518 in decreasing order. 518, 1/10, -0.01, -0.4, -4 Put 4, -2/1041, 8/13 in descending order. 4, 8/13, -2/1041 Sort -10, 3, 0, 48, -4 in descending order. 48, 3, 0, -4, -10 Sort 5, 3, -1, 13549 in descending order. 13549, 5, 3, -1 Put -4, -5, 116803 in increasing order. -5, -4, 116803 Put 4/15, -2, 2/17, 0, 0.016, 3/5 in descending order. 3/5, 4/15, 2/17, 0.016, 0, -2 Sort 106, 1/11, 11, -3, 1. -3, 1/11, 1, 11, 106 Sort 2, -4, 0.113 in increasing order. -4, 0.113, 2 Sort -0.5, 10.779, 29. -0.5, 10.779, 29 Put 1716, -1, 6 in decreasing order. 1716, 6, -1 Sort 1869, -3, -18 in increasing order. -18, -3, 1869 Sort 5, -41046, 3, -5 in descending order. 5, 3, -5, -41046 Put -35027, 3, -5, -1 in descending order. 3, -1, -5, -35027 Sort -1, -13, -34, 13 in descending order. 13, -1, -13, -34 Sort 6, -46, 215 in descending order. 215, 6, -46 Sort -1817/5, -2/89, -1 in descending order. -2/89, -1, -1817/5 Sort -0.054, -2, -1/4, -1.43, 0.1 in decreasing order. 0.1, -0.054, -1/4, -1.43, -2 Sort 490, 7, -3 in descending order. 490, 7, -3 Sort -1/32, -2, -3/2, 1939, 2, 0.4 in decreasing order. 1939, 2, 0.4, -1/32, -3/2, -2 Sort -0.8, 4, 7.3, 2, -0.1 in increasing order. -0.8, -0.1, 2, 4, 7.3 Sort -792, 3, 0, -855 in decreasing order. 3, 0, -792, -855 Sort -5, -0.1, -1, -2/5, -43, 1/6 in descending order. 1/6, -0.1, -2/5, -1, -5, -43 Put -1, 0, -5250, -69 in ascending order. -5250, -69, -1, 0 Sort -10, 4, -2, -2/9, -397 in descending order. 4, -2/9, -2, -10, -397 Sort -33, 1, -7, -4, 2, -1. -33, -7, -4, -1, 1, 2 Sort -15, 160, -17, 3 in increasing order. -17, -15, 3, 160 Put 1/5, 0.0193, 0.3, -76, -4, -3 in decreasing order. 0.3, 1/5, 0.0193, -3, -4, -76 Sort -3.7, -2, -1, 4, 228, -0.1 in ascending order. -3.7, -2, -1, -0.1, 4, 228 Put -4, -0.4, 0.1, 1/4, 11, -2/51 in descending order. 11, 1/4, 0.1, -2/51, -0.4, -4 Put 3, 21, -3, -2, 567, -5 in descending order. 567, 21, 3, -2, -3, -5 Sort -25417, 4, -5 in increasing order. -25417, -5, 4 Sort 4, -126050, -14, 0, 2 in ascending order. -126050, -14, 0, 2, 4 Sort 121, 4/5, 0.2 in descending order. 121, 4/5, 0.2 Put -11, -119, -3, 11, 2 in ascending order. -119, -11, -3, 2, 11 Sort 244, 4, -1, 3, 5 in increasing order. -1, 3, 4, 5, 244 Put 37, 2, 1, -15 in increasing order. -15, 1, 2, 37 Put 105, 15, -18 in decreasing order. 105, 15, -18 Put 1, -3, -2, -44940 in increasing order. -44940, -3, -2, 1 Put 0.09, -204, -1 in descending order. 0.09, -1, -204 Put -455, -4, -0.2, -9/5 in increasing order. -455, -4, -9/5, -0.2 Put 1/4, -14, 10, -2, 0.3 in descending order. 10, 0.3, 1/4, -2, -14 Sort -35, 5, 4, 0, -5 in decreasing order. 5, 4, 0, -5, -35 Sort 75160, -1, 12 in ascending order. -1, 12, 75160 Sort 4, 0, -5, -7 in increasing order. -7, -5, 0, 4 Sort 6, -18, -6, -57 in decreasing order. 6, -6, -18, -57 Sort -3703, 4, 1, -5, 0. -3703, -5, 0, 1, 4 Sort -1, 2, -15, -4, 3 in descending order. 3, 2, -1, -4, -15 Sort -5, -10, -16, -2, -1 in decreasing order. -1, -2, -5, -10, -16 Put 18, -6, 2, -2, 5, -1 in decreasing order. 18, 5, 2, -1, -2, -6 Sort 0, -3, -2/9, 7/2, 1, 125 in descending order. 125, 7/2, 1, 0, -2/9, -3 Sort -0.1, 1/8, -0.3, 4.22, -4 in descending order. 4.22, 1/8, -0.1, -0.3, -4 Put 81, -5, -1, -2, 5, -7 in increasing order. -7, -5, -2, -1, 5, 81 Sort 2, 10, 83. 2, 10, 83 Put 0, 5, -57, 78 in ascending order. -57, 0, 5, 78 Put -55, 4, 6, 2, -17 in descending order. 6, 4, 2, -17, -55 Put 1/12, -5, -1, 4, 2/7, 45 in ascending order. -5, -1, 1/12, 2/7, 4, 45 Sort -0.12, 12/19, 0.2 in decreasing order. 12/19, 0.2, -0.12 Sort -1, -11, 2574. -11, -1, 2574 Put 4265, 2, 185 in descending order. 4265, 185, 2 Sort 34, 2, 1, -2, 5 in ascending order. -2, 1, 2, 5, 34 Put -36288, 12, 1 in increasing order. -36288, 1, 12 Sort -4, 2, 1, 0, 468 in increasing order. -4, 0, 1, 2, 468 Sort 117, -538/3, 4/3 in increasing order. -538/3, 4/3, 117 Sort -2, 1, 6, -121, 417 in decreasing order. 417, 6, 1, -2, -121 Put -22, -8, -1, 5, 9 in descending order. 9, 5, -1, -8, -22 Sort 2, 202, 1, -3, 5 in ascending order. -3, 1, 2, 5, 202 Put 4, 0, 1, -1/4, 0.07 in decreasing order. 4, 1, 0.07, 0, -1/4 Sort -3.16742, -2/7, -5 in descending order. -2/7, -3.16742, -5 Put 5, 25, -73, -2, 1/4 in descending order. 25, 5, 1/4, -2, -73 Put 161/2, -2, -2/59, -0.4 in increasing order. -2, -0.4, -2/59, 161/2 Sort -0.8, 2/13, -921/2, 2/11, 0.17 in decreasing order. 2/11, 0.17, 2/13, -0.8, -921/2 Sort 1/22, -3, 17, 0.2 in ascending order. -3, 1/22, 0.2, 17 Put 2/7, -1, -22, -120 i
{ "pile_set_name": "DM Mathematics" }
021*g - 3983 What is the w'th term of 20509, 82867, 186797, 332299, 519373, 748019, 1018237? 20786*w**2 - 277 What is the k'th term of 831458, 831458, 831454, 831446, 831434? -2*k**2 + 6*k + 831454 What is the g'th term of -1496, -12177, -41192, -97709, -190896? -1528*g**3 + g**2 + 12*g + 19 What is the c'th term of -27432, -55021, -82774, -110691, -138772? -82*c**2 - 27343*c - 7 What is the d'th term of 192652, 192563, 192474? -89*d + 192741 What is the d'th term of 1690, 3981, 6272? 2291*d - 601 What is the s'th term of -439, -124, 217, 584, 977, 1396, 1841? 13*s**2 + 276*s - 728 What is the p'th term of -890, -5653, -18572, -43721, -85174, -147005? -679*p**3 - 4*p**2 + 2*p - 209 What is the m'th term of 16654, 17866, 19886, 22714, 26350? 404*m**2 + 16250 What is the t'th term of -161719, -161597, -161391, -161101, -160727, -160269, -159727? 42*t**2 - 4*t - 161757 What is the r'th term of 5674, 5881, 6100, 6331, 6574, 6829? 6*r**2 + 189*r + 5479 What is the w'th term of -5237, -5218, -5139, -4964, -4657, -4182? 6*w**3 - 6*w**2 - 5*w - 5232 What is the p'th term of 15648989, 31297978, 46946967, 62595956? 15648989*p What is the i'th term of 138, -8289, -31164, -75711, -149154? -1204*i**3 + i + 1341 What is the o'th term of 19455, 38985, 58565, 78195, 97875? 25*o**2 + 19455*o - 25 What is the t'th term of -1698323, -1698314, -1698311, -1698314? -3*t**2 + 18*t - 1698338 What is the c'th term of -47309, -48107, -48903, -49697, -50489, -51279, -52067? c**2 - 801*c - 46509 What is the t'th term of -11054, -16729, -22404, -28079, -33754? -5675*t - 5379 What is the w'th term of -240434, -481486, -722536, -963584, -1204630, -1445674, -1686716? w**2 - 241055*w + 620 What is the a'th term of 16543, 132462, 447155, 1060024, 2070471, 3577898? 16567*a**3 - 15*a**2 - 5*a - 4 What is the q'th term of -30233292, -60466605, -90699918, -120933231? -30233313*q + 21 What is the w'th term of -6160, -12456, -18836, -25342, -32016? -7*w**3 - 6247*w + 94 What is the i'th term of 39121, 78958, 119513, 160786, 202777, 245486, 288913? 359*i**2 + 38760*i + 2 What is the r'th term of -70437, -70514, -70737, -71184, -71933, -73062? -13*r**3 + 5*r**2 - r - 70428 What is the h'th term of 29443, 116514, 261625, 464770, 725943? -h**3 + 29026*h**2 + 418 What is the j'th term of -1276, -5442, -12390, -22120, -34632, -49926? -1391*j**2 + 7*j + 108 What is the j'th term of 40031, 40840, 41649, 42458? 809*j + 39222 What is the g'th term of -24933, -24441, -23959, -23493, -23049, -22633, -22251, -21909? -g**3 + g**2 + 496*g - 25429 What is the c'th term of 24367, 97469, 219307, 389881, 609191? 24368*c**2 - 2*c + 1 What is the h'th term of -10750, -10498, -10232, -9946, -9634, -9290, -8908, -8482? h**3 + h**2 + 242*h - 10994 What is the x'th term of 590714, 589726, 588724, 587702, 586654, 585574? -x**3 - x**2 - 978*x + 591694 What is the y'th term of 4614, 4555, 4448, 4293, 4090, 3839? -24*y**2 + 13*y + 4625 What is the n'th term of 360, 2275, 7276, 16857, 32512? 249*n**3 + 49*n**2 + 25*n + 37 What is the k'th term of 560, 2280, 5176, 9266, 14568, 21100, 28880? 3*k**3 + 570*k**2 - 11*k - 2 What is the j'th term of -8170, -16505, -24914, -33433, -42098, -50945? -6*j**3 - j**2 - 8290*j + 127 What is the d'th term of -93630, -187575, -281520, -375465, -469410? -93945*d + 315 What is the d'th term of 6252, 12456, 22848, 37434, 56220, 79212, 106416? d**3 + 2088*d**2 - 67*d + 4230 What is the d'th term of 1918677, 7674579, 17267747, 30698181, 47965881? 1918633*d**2 + 3*d + 41 What is the w'th term of 3208, 5822, 8364, 10840, 13256, 15618? w**3 - 42*w**2 + 2733*w + 516 What is the p'th term of 2744533, 5489073, 8233613, 10978153? 2744540*p - 7 What is the l'th term of 1521, 2554, 3103, 3168, 2749, 1846? -242*l**2 + 1759*l + 4 What is the a'th term of -3409339, -6818677, -10228015, -13637353? -3409338*a - 1 What is the n'th term of 40, 790, 2942, 7192, 14236, 24770? 116*n**3 + 5*n**2 - 77*n - 4 What is the t'th term of 2694, 10054, 22328, 39516, 61618, 88634? 2457*t**2 - 11*t + 248 What is the c'th term of -59675004, -119350012, -179025020? -59675008*c + 4 What is the t'th term of 355, 1316, 3225, 6088, 9911, 14700, 20461? t**3 + 468*t**2 - 450*t + 336 What is the x'th term of -507160, -1014307, -1521444, -2028571? 5*x**2 - 507162*x - 3 What is the m'th term of -236, -3635, -13324, -32447, -64148, -111571, -177860? -524*m**3 - m**2 + 272*m + 17 What is the d'th term of 58878, 59633, 60374, 61095, 61790, 62453? -d**3 - d**2 + 765*d + 58115 What is the d'th term of 36485, 73048, 109611, 146174, 182737, 219300? 36563*d - 78 What is the k'th term of 50543, 50655, 50843, 51107? 38*k**2 - 2*k + 50507 What is the b'th term of -26225135, -52450281, -78675427? -26225146*b + 11 What is the p'th term of -2878089, -5756181, -8634273, -11512365? -2878092*p + 3 What is the t'th term of -194, -2168, -7698, -18566, -36554, -63444, -101018? -297*t**3 + 4*t**2 + 93*t + 6 What is the t'th term of -330195, -330074, -329957, -329844? -2*t**2 + 127*t - 330320 What is the q'th term of -956318314, -956318315, -956318316, -956318317? -q - 956318313 What is the u'th term of -842, -1033, -1332, -1739, -2254, -2877, -3608? -54*u**2 - 29*u - 759 What is the y'th term of 38697, 154772, 348191, 618918, 966917, 1392152, 1894587, 2474186? -6*y**3 + 38708*y**2 - 7*y + 2 What is the n'th term of -635, -2296, -4839, -8078, -11827, -15900, -20111? 31*n**3 - 627*n**2 + 3*n - 42 What is the d'th term of -537939, -1075579, -1613219, -2150859, -2688499, -3226139? -537640*d - 299 What is the p'th term of 6648093, 13296188, 19944283, 26592378, 33240473, 39888568? 6648095*p - 2 What is the u'th term of 7827, 31603, 71745, 128673, 202807? 70*u**3 + 7763*u**2 - 3*u - 3 What is the t'th term of -13275, -53425, -120469, -214401, -335215? t**3 - 13453*t**2 + 202*t - 25 What is the g'th term of -1106, -1332, -1554, -1772? 2*g**2 - 232*g - 876 What is the q'th term of 92591, 92545, 92499, 92453, 92407? -46*q + 92637 What is the m'th term of 1641, 8004, 14367, 20730? 6363*m - 4722 What is the r'th term of 42525, 84956, 127347, 169698, 212009? -20*r**2 + 42491*r + 54 What is the r'th term of -21766, -43502, -65186, -86794, -108302? 4*r**3 + 2*r**2 - 21770*r - 2 What is the f'th term of 48539, 96930, 145173, 193274, 241239? f**3 - 80*f**2 + 48624*f - 6 What is the b'th term of 2644, 5330, 8064, 10846, 13676, 16554? 24*b**2 + 2614*b + 6 What is the i'th term of -11196441, -44785763, -100767965, -179143047, -279911009, -403071851, -548625573? -11196440*i**2 - 2*i + 1 What is the d'th term of 2294, 10419, 30220, 67535, 128202? 973*d**3 + 1314*d + 7 What is the x'th term of -1731192, -3462494, -5193796, -6925098? -1731302*x + 110 What is the d'th term of 3393552, 13574193, 30541928, 54296757, 84838680, 122167697? 3393547*d**2 + 5 What is the g'th term of -120118, -480478, -1081096, -1921972, -3003106, -4324498, -5886148? -120129*g**2 + 27*g - 16 What is the w'th term of 938, 1787, 2448, 2825, 2822, 2343, 1292, -427? -16*w**3 + 2*w**2 + 955*w - 3 What is the r'th term of 312060, 312020, 311980? -40*r + 312100 What is the d'th term of 7233643, 14467275, 21700907? 7233632*d + 11 What is the l'th term of 67566, 136087, 204608, 273129, 341650? 68521*l - 955 What is the s'th term of 4245, 4523, 5203, 6483, 8561, 11635? 33*s**3 + 3*s**2 + 38*s + 4171 What is the k'th term of 394006, 1576015, 3546028, 6304045, 9850066, 14184091? 394002*k**2 + 3*k + 1 What is the j'th term of -24334, -48601, -72878, -97165, -121462, -145769? -5*j**2 - 24252*j - 77 What is the l'th term of -10992, -88168, -297656, -705612, -1378192, -2381552, -3781848? -11026*l**3 + 6*l + 28 What is the u'th term of -125200941, -250401882, -375602823, -500803764, -626004705, -751205646? -125200941*u What is the v'th term of 866523, 1733052, 2599543, 3465978, 4332339, 5198608? -3*v**3 - v**2 + 866553*v - 26 What is the a'th term of 59240, 58597, 57950, 57299? -2*a**2 - 637*a + 59879 What is the c'th term of -2519, -4794, -7033, -9218, -11331, -13354, -15269, -17058? 3*c**3 - 2296*c - 226 What is the k'th term of 2422, -2380, -7180, -11978? k**2 - 4805*k + 7226 What is the g'th term of -403821, -403675, -403431, -403089, -402649? 49*g**2 - g - 403869 What is the z'th term of -8499, -19594
{ "pile_set_name": "DM Mathematics" }
t is the units digit of k? 4 Suppose 0 = 3*n + 5*c + 23, 0 = 4*n + 4*c + c + 29. Let m = n - -10. Suppose -3*j + 45 = m*r, -r - 2*j + 3 = -2. What is the units digit of r? 5 Let a(t) be the second derivative of 5/2*t**2 - 5/6*t**3 + 0 - t. What is the units digit of a(-11)? 0 Suppose 49*s - 40*s - 3114 = 0. Let q = s - 195. What is the hundreds digit of q? 1 Let x be (-2)/4*(-16 + 8). Suppose 5*s + 2*z + 276 = s, x*s = 4*z - 288. What is the tens digit of s/(-2) - 8/(-8)? 3 Suppose 804 = 2*j + 86. What is the tens digit of j? 5 Suppose t = -2*t + 117. Suppose -4*j + 57 = -t. What is the tens digit of (24/16)/(1/j)? 3 Let v(t) = -3*t**3 - 5*t**2 - 17*t - 8. Let m be v(-7). Suppose c = -4*c + m. What is the hundreds digit of c? 1 Let r(f) = -f**2 - 14*f + 34. Let q be r(-16). Suppose 5*w - q*x - 3*x - 85 = 0, 0 = -4*w + 3*x + 72. What is the tens digit of w? 2 What is the tens digit of -6 + 0 - (-23275)/7? 1 Suppose 9*z - 23144 = 4612. What is the thousands digit of z? 3 Suppose 11*a - 9*a - 696 = 0. What is the units digit of a? 8 Suppose -3*c + 489 = -18. What is the tens digit of c? 6 Suppose 3*f - 12 + 3 = 0. Suppose 0 = -3*t + 2*w + f*w + 141, -4*w = 3*t - 168. What is the units digit of t? 2 Suppose -179 = 4*j - 723. What is the hundreds digit of j? 1 Let r be (-3 + 15/4)*12. Let b(v) = -v**3 + 8*v**2 + 6*v + 9. Let u be b(r). What is the tens digit of 10/(-2*2/u)? 4 Suppose -p + 5*h - 4*h = 43, 2*p = -4*h - 98. Let q = 161 + p. What is the tens digit of q? 1 Suppose -3*w = -20 - 7. Suppose 10*l = w*l + 175. What is the tens digit of l? 7 Suppose 0*q + 3*i = -q - 16, 0 = -2*i - 8. What is the tens digit of 272/28 - q/14? 1 Suppose 27*j = 6*j + 6699. What is the hundreds digit of j? 3 What is the hundreds digit of ((-1128)/36)/((-30)/855)? 8 Let t(x) = -3*x**3 - 4*x**2 + 4*x + 3. Let a = 22 + -25. What is the units digit of t(a)? 6 Suppose -61*q + 71536 = -82611. What is the tens digit of q? 2 Let t be 1/((-308)/(-310) - 1). Let j = t + 335. What is the hundreds digit of j? 1 Suppose 12 = -s + 15. Suppose -2*z + 4*p = 3*z - 32, p = -s. What is the units digit of z? 4 Let h(f) = -9*f + 0*f**3 + f**3 - 5*f**2 + f + 5 + 2*f. Let r be h(6). Suppose -t = -r*t + 4. What is the units digit of t? 1 Suppose -5*r + p + 153 = -r, 4*r - 168 = 4*p. Suppose -n + 2*c + r = 0, 3*n + c + 40 = 4*n. What is the units digit of n? 3 Let i be 0/(-3 + -1 - -6). Suppose i = -4*c + 28. What is the units digit of c? 7 Let f be -29 - -1*(2 - 1). Suppose -7 = -g - 2*u, 3*u - 14 = 2*g + 7. What is the units digit of (1 - g - f) + -2? 0 Let v(o) = 15 + 0*o + 0*o - 26*o**2 + 43*o**2. What is the hundreds digit of v(3)? 1 Suppose 4995 = 7*o + 998. What is the units digit of o? 1 Let r(i) = -2*i + 7. Let x be r(-6). Let k = x + -11. What is the units digit of k? 8 Suppose -20*t = -14*t - 5964. Suppose -5*p = -t - 391. What is the units digit of p? 7 Let n = 141 - 156. What is the units digit of -10*n/18*3? 5 Let y = 2 + -4. Let d be y + -1 + 1*-6. Let x = -4 - d. What is the units digit of x? 5 Let u = -7 - -11. Suppose 4*i - 2*v = -38, -u*v = 3*i - 10 + 66. Let g = i + 22. What is the tens digit of g? 1 Let x be 2 - (-3 + (-6)/(-2)). Suppose 4*j + 7 + 15 = -2*n, x = 2*n - 2*j. What is the tens digit of 16 - (-1*6)/n? 1 Suppose 35*h + 6957 - 31527 = 0. What is the tens digit of h? 0 Suppose -3*g + 50 = 2*g - 2*y, 0 = 2*g + 3*y - 1. Let s be 4/g*436 + 2. Suppose -10*i + s = -5*i. What is the units digit of i? 4 Let v = 7 + 3. What is the tens digit of ((-6)/v)/((-2)/90)? 2 Suppose o = -479 - 79. Let v be o/(-27) - 1/(-3). Suppose k + 7 = v. What is the tens digit of k? 1 Suppose -266 = -3*u - 38. Suppose -2*d = -d - u. What is the tens digit of d? 7 Suppose 0*n = -4*n. Suppose r - 7 - 10 = n. What is the units digit of r? 7 Let n = 31 + -28. Suppose 160 = 8*g - n*g. What is the tens digit of g? 3 Suppose 2*c + 800 = -2*r + 2976, r + 2*c = 1091. What is the thousands digit of r? 1 Let o(b) = 8*b**2 - 3*b - 1. Let g(u) = -11*u**2 + 5*u + 2. Let c(j) = 5*g(j) + 7*o(j). Let r be (-464)/56 - (-2)/7. What is the tens digit of c(r)? 3 Suppose -p - 3 = -2*u - 4*p, 3*u = 2*p - 28. Let f = -3 - u. Suppose -f*h = -6*h + 57. What is the tens digit of h? 1 Let z(y) = 2*y**2 - 7*y + 52. What is the units digit of z(20)? 2 What is the tens digit of 1/(4*((-105675)/26420 + 4))? 2 What is the hundreds digit of (-9)/(-21) - 37954/(-49)? 7 Let m = 31 + -43. Let t be (-8)/(-28) + m/(-7). What is the tens digit of 87/t - (-8)/16? 4 Suppose -5*f + 0*f = 4*r - 7850, -6*r + 4*f = -11798. What is the hundreds digit of r? 9 Let u be (-2)/(-2) - (18 + -14). What is the tens digit of u - ((-18)/(-4))/((-8)/432)? 4 Let a = 1115 + -223. What is the units digit of a? 2 Suppose 0 = 3*q - 8*q. Suppose 4*b + 13 = -4*z - b, -5*z + 5*b + 40 = q. Suppose -v + 31 = -2*u + z*u, 2*v = -u + 35. What is the units digit of u? 7 Let x = -78 + 56. Suppose -60 = -2*u - 4*t, -t + 127 = 4*u - 0*u. Let a = x + u. What is the tens digit of a? 1 Let a = -1 - -4. Suppose 5*o + 58 = -d, -42 = a*o + 2*d - 3. What is the units digit of (-3 + o)*1/(-2)? 7 Suppose -13*h - 8*h + 2562 = 0. What is the hundreds digit of h? 1 Let i be -4*(-4)/(24/69). Let x be i/2 + 0 - -3. What is the units digit of (-14)/(-91) + 74/x? 3 Suppose -19*o + 158 = -12933. What is the units digit of o? 9 Let c = 519 + 77. What is the hundreds digit of c? 5 Suppose 3*t + 0*t - 147 = 0. Suppose -4*c - 3*v = -103, 0 = -2*c - 0*v + v + t. What is the tens digit of c? 2 Suppose -2*h - 1026 = -2*l, 9*h - 14*h + 1499 = 3*l. What is the units digit of l? 8 What is the units digit of 3/(-30) - 55121/(-110)? 1 Let t = 63 - 59. What is the units digit of 3/(t/((-16)/(-6)))? 2 Let g = -4 - -16. Let p = g - 12. Suppose p = -4*v + 6*v - 46. What is the tens digit of v? 2 Suppose 210 = -0*n + 2*n + 5*b, -n = -4*b - 105. Suppose 6*g - 99 = n. What is the units digit of g? 4 Let g = -281 - -949. What is the tens digit of g? 6 Let t = 321 + -190. What is the tens digit of t? 3 Suppose 9 = -4*v + 2*m - 5, 2 = -v + m. Let r = 10 + v. Suppose 0 = 5*a + 4*j - 93, -r*a + 2*j + 2*j = -117. What is the tens digit of a? 2 What is the units digit of 88/(-24)*-339 + 3? 6 Let q(m) be the second derivative of -1/6*m**3 + 0 - 1/2*m**2 - 4*m. What is the units digit of q(-5)? 4 Let f(p) be the third derivative of p**5/15 - p**4/12 + 5*p**3/6 - p**2. Suppose 4*z + 3*a - 10 = 3*z, -z - 2 = -3*a. What is the tens digit of f(z)? 6 Let n(y) = -10 - 7*y + 18*y + 0 - 3. What is the tens digit of n(6)? 5 Let k(w) be the first derivative of -w**3/3 - 2*w**2 + 14*w - 6. Let m be k(-9). Let n = 57 + m. What is the units digit of n? 6 Let w(h) = 4*h**2 + 49*h - 46. Let m(p) = 3*p**2 + 33*p - 31. Let o(z) = -7*m(z) + 5*w(z). What is the tens digit of o(12)? 1 Suppose 3*u - 3*l = 6, 2*u + 3*l + 6 = -0*l. Suppose 3*f - 217 = 5*o + f, -2*o + 3*f - 78 = u. What is the units digit of -1*(o - (-3)/(-1))? 8 Suppose 0 = 3*r - 2*r. Suppose r = 4*x - 11 - 5. Suppose -3*l = 0, j + j + x*l = 26. What is the units digit of j? 3 Let t = -165 + 235. What is the tens digit of t? 7 Let b = 22 - 28. Let m(c) = -c**3 - 6*c**2 - c + 1. Let l be m(b). Suppose 0 = 8*i - l*i - 42. What is the units digit of i? 2 Suppose 37 = -2*v - 3. Suppose 3*g + 82 = -g - d, -110 = 5*g + 5*d. What is the units digit of (g/(-25))/((-2)/v)? 8 Suppose 6*k - 527 = 2089. What is the units digit of k? 6 Let a(m) = m**2 + 8*m - 6. Let w(l) = -l**3 + 20*l**2 - 21*l + 28. Let g be w(19). What is the tens digit of a(g)? 1 Let o(h) = -8 + 20 - 19 + 35*h. What is the hundreds digit of o(4)? 1 Let c(q) = -2*q - 1. Let u be c(5). What is the tens digit of -4 + -5*(u + -2)? 6 Suppose -d + 2*l + 6 = 3*d, -d + 4 = 2*l. Suppose -5*f = -t + 4, -t = d*f + 3*f - 24. What is the tens digit of t? 1 What is the units digit of (6/42*7)/((-4)/(-484))? 1 Suppose -4*o + 5*u + 185 = 0, 4*o - 4*u = -6*u + 150. Let l be (-44)/(-5) + 8/o. What is the units digit of 2/l + 620/45? 4 Let y be 5 + (-1)/1 + 2. What is the units digit of y/27 + 6285/27? 3 Suppose 2*k = -0*k - 3*z + 19, -4*z = -2*k - 16. Suppose 0 = t - 2*t + k*x + 30, 2*t + 2*x - 78 = 0. What is the tens digit of (-54)/t*118/(-3)? 5 Suppose -13*n - 496 = -15*n. What is the tens digit of 3*(-2)/18 - n/
{ "pile_set_name": "DM Mathematics" }
= -m**3 - 180*m**2 - 7103*m + 4295. Determine x(-121). -61 Let t(l) = 1653*l - 69209. Determine t(43). 1870 Let f(l) = 3*l**2 + 2826*l - 20033. What is f(7)? -104 Let s(f) = 10952*f + 76287. What is s(-7)? -377 Let j(k) = 5*k**2 - 887*k + 19546. Determine j(26). -136 Let t(o) = -17*o**3 - 29*o**2 + 468*o + 89. Determine t(-6). -91 Let c(j) = 7136355*j - 49954490. Give c(7). -5 Let x(d) = 8*d**3 - 8224*d**2 - 49636*d + 4114. Determine x(1034). -22 Let i(r) = -671*r - 15440. What is i(-23)? -7 Let l(j) = 5*j**2 - 1067*j - 25881. Determine l(-22). 13 Let n(a) = -a**3 + 14*a**2 + 27*a + 1026. Determine n(20). -834 Let g(w) = -5*w**2 - 9608*w + 67500. What is g(7)? -1 Let h(d) = -d**2 - 29*d - 289. Give h(-5). -169 Let b(j) = j**3 - 18*j**2 + 19*j - 136. What is b(17)? -102 Let b(m) = -m**2 - 319*m - 5480. Determine b(-19). 220 Let l(v) = -580*v - 618. Give l(3). -2358 Let c(p) = 76831*p - 1459729. What is c(19)? 60 Let j(p) = -18*p**2 + 427*p + 7786. Determine j(-12). 70 Let b(a) = 22*a**3 - 2*a**2 + 264*a - 1314. Determine b(5). 2706 Let t(x) = x**3 + 9*x**2 - 104*x - 1726. Calculate t(-15). -1516 Let c(j) = -j**2 - 25090*j + 829062. What is c(33)? 3 Let b(t) = -8*t**3 + 270*t**2 - 198*t - 87. Give b(33). -87 Let d(x) = 4*x**2 + 30*x - 63702. What is d(-130)? -2 Let g(l) = 2*l**3 + 79*l**2 - 559*l - 25. Determine g(6). -103 Let v(m) = 170*m**3 - 6*m**2 + 190*m + 385. Determine v(-2). -1379 Let b(w) = w**3 + 35*w**2 - 220*w - 4094. Calculate b(-38). -66 Let w(q) = 2*q**3 - 49*q**2 + 288*q - 44. Calculate w(17). 517 Let u(p) = -5118*p + 153522. What is u(30)? -18 Let a(f) = -8*f**3 - 97*f**2 + 300*f - 3. What is a(3)? -192 Let l(d) = 165*d**2 - 659*d - 75. What is l(4)? -71 Let j(q) = 355*q + 34806. Calculate j(-98). 16 Let a(z) = -77*z**2 - 34*z + 38. Calculate a(1). -73 Let m(g) = -g**2 - 297*g - 10502. Give m(-46). 1044 Let k(d) = 146*d + 1781. Calculate k(-3). 1343 Let y(z) = z**3 + 2462*z**2 + 17182*z + 1. Give y(-7). 22 Let b(w) = -211*w**3 + 10*w**2 + 44*w - 4. Calculate b(0). -4 Let l(o) = -3*o**3 - 191*o**2 + 43*o + 180. Give l(-64). 1524 Let j(r) = -13*r**3 + 3016*r**2 + 2*r - 470. Calculate j(232). -6 Let o(y) = -3*y**2 + 46*y + 12981. Give o(77). -1264 Let r(m) = -1379038*m + 8274259. What is r(6)? 31 Let l(f) = -6115*f + 262868. Give l(43). -77 Let x(q) = -29*q**2 - 598*q - 1. What is x(2)? -1313 Let f(p) = -336*p**3 - p**2 + 38*p - 36. Determine f(1). -335 Let l(u) = 2*u**2 + 673*u + 55280. Give l(-194). -10 Let o(y) = y**3 + 11*y**2 - 39*y - 364. Give o(0). -364 Let k(h) = -5375*h + 166593. What is k(31)? -32 Let f(a) = 15*a**2 + 214*a - 218. Determine f(-14). -274 Let y(u) = -11*u**3 + 200*u**2 + 5652*u - 102376. Calculate y(18). 8 Let k(m) = 41*m**3 - 1810*m**2 - 1577*m + 312. Give k(45). 222 Let b(k) = 4616*k - 9398. Calculate b(2). -166 Let v(g) = g**3 + 60*g**2 + 943*g + 5712. Give v(-40). -8 Let h(m) = 2*m**2 - 628*m - 4483. Calculate h(321). 11 Let v(g) = -4*g**3 + 381*g**2 + 675*g + 398. Calculate v(97). 10 Let s(r) = 84101*r + 11017223. Determine s(-131). -8 Let y(f) = 1224*f + 129742. Determine y(-106). -2 Let k(m) = m**2 + 1832*m + 18230. What is k(-10)? 10 Let t(y) = -y**2 + 2575*y - 113851. Determine t(45). -1 Let t(a) = -138*a + 6295. Give t(45). 85 Let n(k) = -691*k + 14560. Calculate n(24). -2024 Let p(l) = 17*l**3 - 28*l**2 - 227*l - 490. Calculate p(-3). -520 Let r(u) = -17*u**3 + 209*u**2 - 101*u + 470. Give r(12). -22 Let t(j) = 21*j**3 + j**2 - 95*j - 95. What is t(-1)? -20 Let g(s) = -202*s - 2390. Calculate g(-23). 2256 Let d(c) = c**3 + 95*c**2 - 295*c + 517. Determine d(-98). 615 Let s(q) = -166855*q - 667411. Calculate s(-4). 9 Let s(l) = -l**3 - 157*l**2 + 162*l + 727. Calculate s(-158). 95 Let a(u) = -u**3 - 753*u**2 + 7313*u + 346712. What is a(-762)? 2 Let j(w) = 1897*w - 333585. Calculate j(176). 287 Let r(y) = -19*y**2 + 1892*y - 426. What is r(99)? 663 Let w(r) = -2*r**3 + 11*r**2 + 99*r - 402. Give w(4). 42 Let d(g) = 21171*g - 190460. Give d(9). 79 Let m(w) = 10*w**3 - 1224*w**2 + 498*w - 1206. Give m(122). 14 Let u(m) = 5*m**2 + 4106*m + 12319. Calculate u(-3). 46 Let q(i) = -6*i**3 - 5*i**2 + 19*i + 53. Determine q(-4). 281 Let c(r) = -r**2 - 21*r - 58. Calculate c(-17). 10 Let v(j) = 17*j**2 + 353*j + 203. Determine v(-18). -643 Let x(s) = -23*s**3 - 207*s**2 + 220*s - 11. Calculate x(1). -21 Let b(s) = 136*s**3 - s**2 + 146*s - 643. Determine b(4). 8629 Let j(h) = 26*h**3 + 645*h**2 - 130*h - 142. What is j(-25)? -17 Let v(b) = 46*b**3 - 693*b**2 + 64*b - 308. Give v(15). -23 Let z(p) = -824826*p + 4124120. Calculate z(5). -10 Let n(a) = -6*a**3 + 35*a**2 + 3*a + 3. Determine n(5). 143 Let u(w) = w**3 - 32*w**2 - 20*w + 2776. Give u(29). -327 Let p(o) = 4055*o + 633099. Give p(-156). 519 Let r(w) = 28*w**3 - 52*w**2 + 523*w - 514. What is r(1)? -15 Let c(k) = -2*k**2 - 55*k - 447. Determine c(-29). -534 Let d(m) = -1384*m - 853931. What is d(-617)? -3 Let l(m) = -m**2 - 227*m - 12992. Give l(-120). -152 Let x(f) = 1022*f - 12767. Determine x(11). -1525 Let k(d) = -2*d**3 + 14*d**2 - 58*d + 171. Give k(8). -421 Let v(i) = 1456*i + 346. Calculate v(1). 1802 Let y(n) = n**3 - 9*n**2 - 16497*n - 591. Determine y(-124). 29 Let z(k) = 911*k + 17446. Determine z(-18). 1048 Let c(q) = -7*q**2 + 677*q + 3540. Give c(-5). -20 Let v(p) = -6*p**3 - 1292*p**2 - 2977*p + 985. Give v(-213). -80 Let t(p) = -7*p**3 + 30*p**2 + 54*p - 271. Calculate t(4). -23 Let g(w) = -10631*w + 2625850. Calculate g(247). -7 Let j(z) = -2*z**2 + 1580*z - 179927. What is j(652)? 25 Let g(t) = t**2 - 144*t - 1329. Calculate g(154). 211 Let c(j) = -3*j**3 - 30*j**2 - 231*j - 2129. What is c(-9)? -293 Let m(j) = 4329*j + 30320. What is m(-7)? 17 Let t(d) = -d**3 + 16*d**2 + 107*d - 114. Give t(-8). 566 Let k(b) = 294922*b + 1179678. Calculate k(-4). -10 Let r(i) = -3*i**3 - 2*i**2 - 762*i - 2337. Give r(-3). 12 Let i(y) = y**3 - 99*y**2 + 453*y + 1610. Determine i(94). 12 Let f(z) = -387*z**2 - 214788*z - 1676. Calculate f(-555). -11 Let y(t) = t**2 - 712*t + 56556. Give y(91). 45 Let k(x) = 2737*x - 2200554. Give k(804). -6 Let r(n) = -894*n + 744701. Determine r(833). -1 Let b(d) = -6*d**3 - 1654*d**2 + 2483*d + 73939. Calculate b(-277). -20 Let p(o) = 5412*o + 579099. What is p(-107)? 15 Let j(m) = 55977*m - 335839. Calculate j(6). 23 Let t(s) = 300*s**2 + 5384*s - 266. Give t(-18). 22 Let r(c) = 8*c**2 + 1427*c - 12914. Give r(-187). -11 Let p(b) = -31409*b - 62819. Give p(-2). -1 Let r(l) = 4499*l - 85458. Give r(19). 23 Let w(q) = -7*q**2 + 1850*q + 29339. Give w(-15). 14 Let g(b) = 2*b**2 - 1615*b - 216319. What is g(-117)? 14 Let g(k) = -8453*k + 6415835. Calculate g(759). 8 Let r(k) = 36*k**2 - 858*k - 51. Determine r(24). 93 Let v(m) = -102891*m - 1131785. What is v(-11)? 16 Let x(v) = -83*v + 3712. Calculate x(40). 392 Let g(m) = -236*m**2 - 1065*m + 587. Determine g(-5). 12 Let y(j) = -2*j**3 - 558*j**2 - 583*j - 7168. What is y(-278)? 338 Let u(x) = -x**2 + 54*x + 301. Give u(-5). 6 Let y(x) = -2*x**3 - 112*x**2 + 120*x + 287. What is y(-57)? -55 Let q(j) = j**3 - 273*j**2 + 2911*j - 7588. Give q(262). 10 Let m(w) = -w**3 + 108*w**2 - 143*w + 15449. Calculate m(108). 5 Let z(a) = 28899*a + 1011403. What is z(-35)? -62 Let p(s) = -s**3 - 69*s**2 + 181*s + 7783. Determine p(-70). 13 Let t(s) = 7098*s - 340615. Give t(48). 89 Let p(i) = 6815*i - 122681. Give p(18). -11 Let q(t) = -t**3 + 21*t**2 + 2833*t - 57087. Determine q(20). -27 Let f(h) = -1876*h + 690396. Calculate f(368). 28 Let y(x) = -90429*x + 542576. What is y(6)? 2 Let d(j) = 24*j**3 - 376*j**2 - 179*j + 41. Determine d(16). -775 Let u(f) = -4854*f + 1009625. Calculate u(208). -7 Let b(l) = -l**2 + 35*l + 141. Calculate b(-17). -743 Let s(c) = -91*c**2 - 3885*c + 1211. Determine s(-43). 7 Let c(b) = 255*b**3 + 133*b**2 + 389*b - 4. What is c(-3)? -6859 Let k(b) = 3695*b + 395358. What is k(-107)? -7 Let p(v) = 6*v**2 + 618*v + 6000. Give p(-11). -72 Let m(u) = -11792*u - 70149. What is m(-6)? 603 Let d(j) = -27232*j + 4928855. Calculate d(181). -137 Let y(f) = -9*f**3 - 2*f**2 - 86*f - 170. Determine y(-2). 66 Let n(m) = 1409*m + 560. Give n(-2). -2258 Let t(x) = x**3 - 309*x**2 + 193*x + 35844. Determine t(308). 424 Let p(u) = 208*u**2 - 5438*u - 4800.
{ "pile_set_name": "DM Mathematics" }
h is the closest to o? (a) 0.06 (b) -6/11 (c) 2/11 b Let u be -3 + (-5 - 108/(-15)). Suppose 2*x = -2*x + h - 204, 3*x + 158 = 2*h. Let r = x - -152/3. What is the nearest to 0.1 in u, r, -0.4? -0.4 Let v(r) = -4 + r - r - 6*r**2 + 3 + 2*r. Let b be v(2). Let u be b/6 + (4 - 2). What is the nearest to 2 in u, -0.3, -1/6? -1/6 Let p = -2 - -7. Let n = -3.8 + -0.2. Let i(z) = -123*z + 1230. Let q be i(10). What is the nearest to q in p, 0.4, n? 0.4 Let g = -31.593 - -26.593. Let m = 3 + -2. What is the nearest to m in 0.5, g, -2/5? 0.5 Let i be 717*(-4)/(-6)*(-5)/30. Let v = i + 79. What is the closest to 1 in -4, v, -1/5? -1/5 Let l = 1.135 - -529.865. Which is the nearest to -1? (a) 1 (b) -0.3 (c) l b Let v = 9/650 + -269/650. What is the nearest to 2 in 1, 8, v, -1/4? 1 Let d = 423.89 - 423. Let f = -1.89 + d. Which is the nearest to 1? (a) 2 (b) -0.04 (c) f a Let w = 4699 + -4699. Which is the nearest to 2/3? (a) -0.0319 (b) -0.4 (c) w c Let o(d) = -10*d**2 - 176*d - 101. Let c be o(-17). What is the closest to c in 210, 2/15, 4? 2/15 Suppose 0*y - 4*y + 5 = -3*l, -y = -5*l - 14. Let z be l - 16*(-3)/(-12). Which is the nearest to -2? (a) -2 (b) 0.3 (c) z (d) 2 a Let s be 4/(-14) + (-760)/280. Let u be s/(-2) + (-41)/(-82). Let m = -0.1 + 0.2. What is the nearest to 2 in m, 4/3, u? u Suppose 3*s = -15*t + 17*t + 19, 5*s + t - 10 = 0. Which is the nearest to 1? (a) s (b) 1/5 (c) -8 b Let i = 2.6 - 2.3. Let n = 357 + -713/2. Which is the nearest to 2/7? (a) n (b) 0 (c) i c Let f = 6918.05 - 6918. Let g = -493/11 + 45. Which is the closest to f? (a) 1/4 (b) -0.05 (c) g b Let n = -2541 + 2541. What is the closest to 46 in 2/17, 3, -5, n? 3 Let k = -1.44927 + -0.05073. What is the closest to 1 in 4/7, 1, k? 1 Let l(q) = q**2 + 43*q - 137. Let s be l(-46). Let y = -3.4 - 1.6. Which is the closest to s? (a) y (b) 1/4 (c) 0.1 b Let k(x) = 8*x + 23. Suppose -13 = 4*v - 2*p + p, 3*v + 13 = 4*p. Let j be k(v). Which is the closest to -2? (a) -2 (b) -2/15 (c) j a Let k = 4 - 4.5. Let u = -0.361 - -0.461. What is the closest to 3/16 in k, 1, u? u Let v(y) = -2*y**2 - 18*y - 37. Suppose -t - j = 10, -t - t = j + 16. Let x be v(t). Which is the closest to x? (a) -5/4 (b) -4/5 (c) 0.6 (d) -0.3 b Let v be 1/(-15) + (-4)/(-10). Let h = -1009 - -1012. What is the closest to -0.07 in -0.4, v, h? -0.4 Let c = 14.9 - 45.3. Let m = c + 30. What is the closest to 1/4 in -0.02, m, 1/2? 1/2 Let f be (-92)/16 - 3/(-4). Let v = 7.57 + -0.57. What is the nearest to v in -1, -3/8, 0.5, f? 0.5 Let a = -23274 - -23272. What is the closest to 41 in 1/9, -0.03, a? 1/9 Let w = -9.97 + 5.97. Suppose 230 = 5*o - 70. Let x = o - 123/2. What is the nearest to 1 in x, w, 0.4? 0.4 Let s(f) = 6*f + 314. Let r be s(-51). Let q be (1/(-12))/(r/(-576)*8). What is the nearest to 1 in 1/3, -1/8, q? q Let y = -86/5 - -764/45. Let q be 12/66 - (-506)/(-121). Let i = -1/95 - 92/285. Which is the closest to q? (a) i (b) -5 (c) y b Let u = -710/27 + 1393/54. Let p = -3.8 + 3.8. Which is the closest to 2/3? (a) p (b) 1/17 (c) u (d) -1 b Suppose 3*l = m + 13, -4*l + 71*m - 4 = 75*m. What is the closest to 0.89 in -1/2, 3/7, 1, l? 1 Let h(r) = -2*r + 4. Let o be h(-7). Suppose 2*y = 5*w - o, 2*w = -4*y - 5 - 7. Let u be -17*(-1)/12 + y/6. Which is the nearest to 1? (a) 1 (b) 6 (c) u a Let s be (-39)/14*2 + (-36)/84. Let r be 1 + 3/s + (-9)/18. Which is the closest to r? (a) -13 (b) 5 (c) 3 c Let m = -2/667 - -335509/2668. Let g = m + -127. Which is the nearest to 0? (a) g (b) -0.3 (c) -0.5 b Let q = -647/5 + 129. Suppose 613*u + 598 + 913 = -1554. What is the nearest to 8 in u, q, -1? q Let y = 5 + -3. Suppose -4*v - 15*z = -16*z + 7, -18*v - 5*z = -35. Let n = -0.3 - 0.1. Which is the nearest to v? (a) n (b) y (c) -3 a Suppose -3*s + 12 = 2*d + 18, d = -2*s - 2. What is the closest to 179 in 0.2, 0.5, d? 0.5 Let s = 802 + -807. Let d be 3 - 2 - (-10)/(-14). Let r = -12.8 - -13.8. What is the nearest to d in s, r, 0.1? 0.1 Suppose -2*h + 7*h + 3*t + 13 = 0, -4*h = 5*t. Let l = 5 + -10. Let n = -4.8 - l. Which is the closest to 0? (a) h (b) 14 (c) n c Let r be 147/98 - (-6)/4. What is the closest to 0.2 in r, -1/5, -33/5, -1? -1/5 Let v = 7428 + -7432. Suppose 0*d = 2*d - 4. Let f = 0 + d. Which is the nearest to -2? (a) -0.3 (b) v (c) f a Let t = -0.2485 + 0.2315. Which is the nearest to 1? (a) 1 (b) 4 (c) t (d) -0.3 a Let y = -135.5 - -151. Let n = y - 17.5. Let j = 2 + -1.9. Which is the closest to n? (a) j (b) 5 (c) 1/4 a Let o = -340 - -125. Let g = o + 214. What is the nearest to -0.2 in -0.03, g, -2? -0.03 Let j be (-23)/((-5083)/(-26)) + 20/(-119). Which is the nearest to j? (a) -4/7 (b) 1 (c) 0.03 (d) 2 a Let a = 13 - -51. Let k = a + -62. Let y be (-4 + k)/((-36)/(-15)). What is the nearest to -1 in y, -2/5, 0.2? y Let t = -4592.81 - -4612. Let a = t + -19. Let w = a + -0.09. What is the closest to 0.1 in w, -0.5, 6/11? w Let n = 0.73 + -0.7. Let k = 5.97 + n. Let q = 1.03 + -0.73. What is the closest to -1 in k, -3/8, q? -3/8 Let w = -8 - -8.19. Let n = -504191/7 - -72027. Which is the nearest to -1/4? (a) -4 (b) w (c) n c Suppose -4*p = 4*f + 36, -2*p - 9 - 5 = 3*f. Let h = -113 + -1140. Let s = h + 1256. Which is the nearest to p? (a) s (b) 0 (c) 2/5 b Let f = -235 + 328. Suppose -20*k - 53 = -f. What is the closest to 2 in -5, -1, -1/7, k? k Let o be (-7)/(-196)*7 + 190/(-120). Which is the closest to 0.026? (a) 0.4 (b) 0.2 (c) o b Let t = 406.8842 + 0.1158. Let d = -407.1 + t. Let v = -5 + 4.7. What is the nearest to d in v, -2/5, -4? v Let w = -1789 - -1797. Which is the nearest to 2? (a) -2/5 (b) w (c) -0.02 (d) -5 c Suppose 3*h + 326 = 5*o, 5*h - 182 = o - 4*o. Let k = -62 + o. Let g = -12.7 - 1.3. Which is the closest to 0.2? (a) k (b) g (c) -3 a Let b = 2/62821 + -62827/188463. What is the closest to 0.1 in -0.3, -4, -6, b? -0.3 Let w = 1.075 - 0.075. Which is the nearest to w? (a) -3/7 (b) -2 (c) 1/3 (d) -3 c Let n = -5471.9 + 5472. Which is the closest to -0.14? (a) n (b) 2/5 (c) -1/4 (d) 0.3 c Let i = -1.61 + 0.29. Let x = i + 0.82. Which is the nearest to -1? (a) x (b) 2 (c) 1/3 a Let g = -62168/7 - -1180927/133. Let o = -46/19 - g. What is the closest to 2/5 in -1, 5, o? o Let o = 211/21 - 31/3. Let r be 13/65*20 - (-13)/(-4). Which is the nearest to -1/5? (a) o (b) r (c) -10 a Let w = 5.39945 + -0.39945. Which is the closest to 2? (a) 7/13 (b) -1/5 (c) w (d) 0.5 a Suppose -12*v - 84 = -33*v. Let c be -7 - (2136/(-78))/v. What is the closest to c in 2, 3, 0.1, -2/3? 0.1 Let h be ((-154)/(-66) + (-16)/6)*(-1 + 58). What is the nearest to 1/6 in h, -2, 1? 1 Suppose -53 = -9*g + 28. Let z be ((-2)/(-3))/((-24)/g). Which is the nearest to z? (a) 5 (b) 0.3 (c) -2/15 (d) 4 c Let g = -5863 + 5863.1. Let i be 3/9 + (-2)/(-12). Which is the nearest to g? (a) 3 (b) -0.2 (c) i b Let l be (7 - (-4 + 10))*3/12. Let q = 1126 + -1127. What is the closest to -3 in -0.2, q, l, 9? q Let x = 1.4896 - 0.7896. Which is the nearest to x? (a) -3/5 (b) -18 (c) -1/2 c Let d = 1.97 - 2. Let f(j) = 7571*j - 30262. Let q be f(4). Which is the closest to d? (a) -3 (b) q (c) 0.2 c Suppose 0*h + 5*m = 3*h - 4, 0 = 3*m + 6. Let k = -27.6 - -22.6. Which is the nearest to 0.3? (a) -3/7 (b) k (c) 3.3 (d) h a Let k be 2/99*(-83 - -92). Let h = -25 + 31. Suppose g + 4 = 3. Which is the nearest to 0? (a) k (b) g (c) h a Let d = 0.107 - -273.893. Let y = 276 - d. Which is the nearest to 16? (a) y (b) 0.1 (c) 5 c Let u = -135/2 - -69. Let d = -6184.2 - -6184.5. What is the nearest to 11 in u, 5, 4, d? 5 Let m be (4/(-18)*3)/(-19 - (-1320)/70). Which is the nearest to -0.2? (a) -2/7 (b) 1 (c) m (d) -0.04 a Let p = 0.5 - -0.5. Let f = 0.6236 + 0.3764. Which is the closest to f? (a) p (b) -0.1 (c) 4.8 a Let i = -20189/9 - -2243. Suppose 0 = -m - 20 - 17. Let s = m - -147/4. What is the closest to 2/5 in i, s, 1/5? 1/5 Let l(u) = -u**2 - 49*u + 735. Let r be l(12). What is the nearest to -0.1 in 0, r, -2/123, -3/4? -2/123 Let t = -1487.39 - -1461. Let q = 1.39 + t. Let w = -25 - q. Which is the nearest to 0.1? (a) w (b) 9 (c) -0.3 a Let h = -313 + 303. Let f(n) = -n**2 - 11*
{ "pile_set_name": "DM Mathematics" }
lest common multiple of 9 and q? 288 Let b be (150/(-125))/((-2)/5). Let s = 69/55 + 1/22. What is the common denominator of s and (18/28 - 2) + b? 70 Let z = 778 + -769. Calculate the lowest common multiple of 27 and z. 27 Let z = 662 - 230. What is the smallest common multiple of 5 and z? 2160 Let b(i) = 6*i**3 + 3*i**2 - 2*i - 5. Let p(y) = y**3 - 1. Let n(f) = b(f) - 5*p(f). What is the lowest common multiple of n(-3) and 3? 6 Let z(g) = 17*g - 77. What is the smallest common multiple of z(11) and 50? 550 Suppose -x - x + 4 = 0. Let z = 10 + x. Suppose -f - f + z = 0. Calculate the least common multiple of f and 8. 24 Suppose -176 = -53*b + 42*b. Calculate the lowest common multiple of 20 and b. 80 Calculate the least common multiple of 48 and (504/(-35))/((-3)/10). 48 Let a = 293 - 165. Find the common denominator of -3 - (a/14)/(-2) and 38/9. 63 Let k(d) = 3*d**2 + d - 21. What is the lowest common multiple of 99 and k(3)? 99 Find the common denominator of 1/11 and (-14)/7*88/(-1392). 957 What is the smallest common multiple of 2 and (22 + -24)*38/(-4)? 38 Let x = 36 + -33. Suppose 0 = -d - x*d + 16. Suppose d*i = -2*l + 38, 7*i - 2*i + 2*l = 50. Calculate the lowest common multiple of i and 8. 24 Let i be 6/(-21) + (-44)/(-7). Let z = i - -2. Let r = -13493 - -13497. Calculate the lowest common multiple of r and z. 8 Suppose 0*k - 2*k = -48. Let h be ((-3)/9)/((-2)/k). Suppose 4*f = -3*t + 48, -3*t - h*f = -8*t + 48. What is the smallest common multiple of t and 12? 12 Let g = -751865872453/4092 + 183740442. Let b = 8564621/372 - 23023. Let h = g + b. What is the common denominator of -33/4 and h? 44 Let u = -698214749/48 + 221030105617/15216. Let m = 19977 + u. Let n = -13432/2853 - m. Calculate the common denominator of n and 41/14. 126 Let j = 13629/10 - 1356. Calculate the common denominator of j and 7/10. 10 Let u = 12526/3 + -225557/54. Let g = 5/4031 - -334503/56434. Find the common denominator of u and g. 378 Let m(a) = a**2 + 2*a + 4. Calculate the lowest common multiple of m(-2) and 31. 124 Let f(p) = p + 1. Let k be f(0). Let g = 204 - 381/2. What is the common denominator of 13/k*30/84 and g? 14 Suppose -2*a + a + 4 = 0. Let b(q) = -q**2 - 13*q + 2. Let l be b(-13). Let r = l - 0. Calculate the smallest common multiple of a and r. 4 Let a = 1304027/444 - 2937. Calculate the common denominator of 3/4 and a. 444 Let l(a) = -a**2 + 22*a + 81. What is the lowest common multiple of l(25) and 147? 294 Find the common denominator of 1/(9/(1350/24)) and -5/161. 644 Let x(o) = 2*o**2 + 4*o. Let t(z) = -z. Let n be t(4). What is the lowest common multiple of 4 and x(n)? 16 Suppose o - 94 = 2*y, -y = -o - 0*y + 91. Calculate the common denominator of 99/2 and 2/(o/100) - 0. 22 Let m be (-10)/(-4)*(6 - 2). Let k be ((-4)/m)/(9/135). Calculate the least common multiple of k/8 - 182/(-8) and 4. 44 Suppose -3*b + 32 = 2*b - 3*v, 2*v - 8 = -4*b. Find the common denominator of b/10 - 2235/(-350) and -1 + (1 - 115/(-18)). 126 Let b = -310 - -332. What is the smallest common multiple of 36 and b? 396 Calculate the common denominator of 16/((-448)/42)*(-2)/30 and 53/15. 30 Let c = -81/7 + 1275/112. Let t = -36347 + 582107/16. Let p = c + t. What is the common denominator of -44/5 and p? 10 Suppose -25*g - 164 = -264. Let j = 25 + -14. What is the lowest common multiple of j and g? 44 Let v(o) = o**3 - 2*o**2 - 2*o + 1. Let i be v(3). Calculate the common denominator of (51/(-8))/(15/(-20)) and (-30)/64*i/6. 16 Find the common denominator of -7/6 and ((-3)/(-135))/((-84)/17 + 5). 90 Suppose -4*v + 40 = 4*c, -2*v - c + 5 = -11. What is the lowest common multiple of v and 231? 462 Suppose -3*m - w = -186, 12*m - 7*m + w - 312 = 0. What is the least common multiple of m and 228? 4788 Let t = 55 - 25. Calculate the smallest common multiple of 27 and t. 270 Suppose -6*t + 2*t + 5*u + 1005 = 0, -247 = -t - 3*u. Calculate the common denominator of -47/14 and t/(-24) + (-2)/3. 84 Let u = 123 + -42. Suppose 5*y - 2*y = u. Calculate the lowest common multiple of 18 and y. 54 Let u = 2769 + -13791/5. What is the common denominator of -5/21 and u? 105 Suppose r = 2*r - 13. Suppose -3*s = 2*c - 20, -52*s + 8 = -49*s - c. What is the lowest common multiple of s and r? 52 Let v be 7/(28/(-8))*1/(-2). Calculate the lowest common multiple of 29 + -4 - (2 - v) and 48/(-3 + 5) - 2. 264 Let n = -110 - -230. What is the least common multiple of 160 and n? 480 Let k(p) = p - p + 9*p**2 + p**3 + p - 2 + 5*p. What is the smallest common multiple of k(-8) and 18? 126 Let x(y) = 2*y + 5. Let w(v) = 2*v + 6. Let n(a) = -6*w(a) + 5*x(a). Let r(q) = 3*q - 2. What is the lowest common multiple of n(-6) and r(3)? 7 Suppose -110 = 7*t - 460. Let w(i) = -5*i**2 - 9*i + 2. Let p be w(8). What is the common denominator of -38/7 and (6/t)/((-4)/p)? 70 Suppose 14 = 3*n + 2. Find the common denominator of -15/44 and (-556)/(-24) - ((-2 - 1) + n). 132 Let l(h) = h + 17. Let g be l(-15). Calculate the smallest common multiple of 27 and (-561)/(-22)*g/1. 459 Let l be 51/(-9) - 6/(-9). Suppose 5*b + 205 = -4*s, 2*s - 4*b = -0*b - 96. Calculate the common denominator of -3 - l/(s/(-87)) and -3/22. 110 Let f(y) = 5*y + 17. What is the lowest common multiple of f(-2) and 14? 14 Let c(n) = 3*n**2 + 2*n. Let q be c(-4). Suppose -4*w - w = -q. What is the lowest common multiple of 28/(-3)*60/(-40) and w? 56 Let j = -17 - 70. Calculate the common denominator of ((-2)/10)/(3/j) and 417/35 - 2/(-7). 5 Suppose 0 = -4*y + 2*g + 30, -y - y - 4*g = 0. Let r(z) = -y + z**2 + 5 + 3 - 3*z. What is the lowest common multiple of 8 and r(6)? 40 Let x(a) = -34*a + 4. Let u be x(-6). Calculate the common denominator of u/(-42) + (-8)/(-28) and -58/9. 9 Let n(c) = 3*c + 1. Let j(q) = -2*q - 1. Let v(a) = -4*j(a) - 3*n(a). Calculate the lowest common multiple of v(-3) and -3 + (-3 - -7) - -9. 20 Let s = -180 + 202. Calculate the lowest common multiple of s and 10. 110 Suppose -2*q = 2*o - 4, 5*o - 2*q - 50 = 3*q. Calculate the lowest common multiple of 7 and o. 42 Let p = 21411/8 + -2681. Find the common denominator of -93/860 and p. 1720 Let x be 333/413154*110062/72. Let i = -2/29511 - x. Calculate the common denominator of i and -99/20. 280 Let f = -30131/6 + 5034. Let h = -4427 + 75289/17. Find the common denominator of h and f. 102 Let r = -279364667865/14862518 + -130/675569. Let i = -18792 - r. What is the common denominator of i and -39/80? 880 Let l = 76836038202648251/376188 + -204249040912. Let d = -2/4089 - l. Calculate the common denominator of -57/7 and d. 644 Suppose -2*f - 2*f + 8 = 0. Suppose -2*w + 2*c + 28 = 0, 0*w - 2*w - 2*c = -32. Calculate the lowest common multiple of f and w. 30 Find the common denominator of -47/40 and 1*21/(-10)*(-9)/(-14). 40 Suppose 3*u = 4*u + 5, -1 = 2*c + 3*u. Suppose c*q - 2*q = -3*i + 50, 4*q - 4*i - 8 = 0. What is the smallest common multiple of 5 and q? 35 Let n = 350209/257460 - 46/3065. What is the common denominator of -57/112 and n? 336 Let h = -523 + 307. Suppose 3*l = 3*q + 39, -4*l - 5*q = -q - 12. Calculate the lowest common multiple of 2/11 + h/(-22) and l. 40 Suppose 2*g - 28 - 46 = 2*k, 0 = -4*g - 2*k + 190. What is the smallest common multiple of g and (-3)/(-6) + (-78)/(-4)? 220 Let p = -1643 - -1655. What is the least common multiple of 140 and p? 420 Let x(v) = -39*v**3 + v + 1 + v + 0*v - 8*v**3. Let c be x(-1). Find the common denominator of 89/20 and (c/28)/(3/3). 140 Let j = 58 - 8. Calculate the smallest common multiple of 160 and j. 800 Find the common denominator of -7 + -16*52/(-144) and -115/72. 72 Let g(j) = -172*j + 724. Let p(b) = b**3 + 7*b**2 + 5*b - 2. Calculate the smallest common multiple of g(4) and p(-6). 36 Suppose -2*z + 15 = 5. Calculate the common denominator of 24/7 and z/((-20)/(-12)) - 25/3. 21 Suppose 3*w - 3 = -9. Let n(a) be the second derivative of -3*a**5/10 + a**4/12 - 2*a**2 - 15*a - 2. What is the least common multiple of 10 and n(w)? 240 Let b = -1438/5 - -69109/240. Calculate the common denominator of b and 33/16. 48 Suppose -4*i + 22 = 6. Suppose i*l - 16 - 8 = 0. Let a(p) = -p**3 + 7*p**2 + 9*p - 6. Calculate the lowest common multiple of l and a(8). 6 Let t = -1926119/560 + 209/560. Let j = t - -342
{ "pile_set_name": "DM Mathematics" }
2 is divided by 57? 56 What is the remainder when 542443794 is divided by 43? 41 Calculate the remainder when 648219 is divided by 323985. 249 What is the remainder when 61381525 is divided by 6138151? 15 What is the remainder when 261058 is divided by 190? 188 What is the remainder when 4471322 is divided by 186303? 50 What is the remainder when 803980492 is divided by 88? 84 What is the remainder when 21768762 is divided by 71? 20 What is the remainder when 917651828 is divided by 24? 20 What is the remainder when 769127 is divided by 14? 9 What is the remainder when 97241 is divided by 1288? 641 Calculate the remainder when 7534910 is divided by 673. 2 What is the remainder when 10579509 is divided by 314? 221 Calculate the remainder when 255879 is divided by 802. 41 Calculate the remainder when 62068 is divided by 30795. 478 Calculate the remainder when 3369662 is divided by 1303. 104 What is the remainder when 6538854 is divided by 49534? 366 What is the remainder when 69151059 is divided by 4321941? 3 What is the remainder when 93466 is divided by 23317? 198 Calculate the remainder when 5411874 is divided by 20269. 51 What is the remainder when 2041962 is divided by 647? 30 Calculate the remainder when 2949465 is divided by 51744. 57 Calculate the remainder when 95333118 is divided by 142. 140 What is the remainder when 317257 is divided by 31? 3 What is the remainder when 39922047 is divided by 1970? 1967 Calculate the remainder when 315025 is divided by 543. 85 What is the remainder when 98055098 is divided by 718? 710 What is the remainder when 44910 is divided by 44864? 46 What is the remainder when 5723492 is divided by 637? 47 Calculate the remainder when 121261 is divided by 21. 7 What is the remainder when 1973079 is divided by 46? 1 What is the remainder when 148143 is divided by 6064? 2607 Calculate the remainder when 20382161 is divided by 143536. 49 Calculate the remainder when 6069290 is divided by 168591. 14 What is the remainder when 1669147768 is divided by 5547? 5545 What is the remainder when 8089 is divided by 2652? 133 What is the remainder when 49939 is divided by 2732? 763 Calculate the remainder when 94178752 is divided by 520. 512 What is the remainder when 549653 is divided by 262? 239 Calculate the remainder when 3451234 is divided by 6637. 6631 What is the remainder when 2494596 is divided by 9900? 9696 What is the remainder when 958837 is divided by 177? 28 Calculate the remainder when 569586 is divided by 11624. 10 What is the remainder when 43392076 is divided by 234? 52 What is the remainder when 2228992 is divided by 1486? 1478 What is the remainder when 7883485 is divided by 2946? 2935 What is the remainder when 92872 is divided by 1021? 982 What is the remainder when 329941 is divided by 522? 37 Calculate the remainder when 3197652 is divided by 323. 275 Calculate the remainder when 7770 is divided by 5. 0 Calculate the remainder when 44237 is divided by 10986. 293 What is the remainder when 32034442 is divided by 29? 27 What is the remainder when 1810320 is divided by 360? 240 Calculate the remainder when 148598 is divided by 216. 206 What is the remainder when 811927126 is divided by 11? 10 What is the remainder when 235354 is divided by 36? 22 What is the remainder when 7297 is divided by 7207? 90 What is the remainder when 13274228 is divided by 26? 6 What is the remainder when 7413 is divided by 6941? 472 What is the remainder when 1355697 is divided by 14585? 13877 What is the remainder when 20927063 is divided by 444? 11 Calculate the remainder when 233257 is divided by 113922. 5413 What is the remainder when 701154 is divided by 5892? 6 What is the remainder when 40201705 is divided by 2407? 2398 What is the remainder when 1031536175 is divided by 12? 11 What is the remainder when 438672 is divided by 20? 12 Calculate the remainder when 54045 is divided by 6261. 3957 Calculate the remainder when 67495 is divided by 1030. 545 Calculate the remainder when 594242 is divided by 4110. 2402 Calculate the remainder when 251668 is divided by 2925. 118 Calculate the remainder when 1997199 is divided by 31. 24 What is the remainder when 247763 is divided by 4277? 3974 What is the remainder when 677492 is divided by 1975? 67 What is the remainder when 16861405 is divided by 7? 1 What is the remainder when 120671900 is divided by 47? 11 What is the remainder when 1318068 is divided by 1377? 279 Calculate the remainder when 3902117 is divided by 1161. 1157 What is the remainder when 183610 is divided by 3291? 2605 Calculate the remainder when 16097558 is divided by 218. 2 Calculate the remainder when 243871 is divided by 2381. 1009 Calculate the remainder when 311463 is divided by 745. 53 What is the remainder when 110332 is divided by 36549? 685 Calculate the remainder when 1760140 is divided by 368. 364 Calculate the remainder when 35930 is divided by 1433. 105 Calculate the remainder when 123129 is divided by 129. 63 Calculate the remainder when 5281991 is divided by 1520. 1511 What is the remainder when 392629 is divided by 860? 469 What is the remainder when 6615746 is divided by 756? 746 Calculate the remainder when 442086 is divided by 14. 8 Calculate the remainder when 781676 is divided by 16992. 44 Calculate the remainder when 22228631 is divided by 446. 437 Calculate the remainder when 6396858 is divided by 2933. 2918 What is the remainder when 407767 is divided by 385? 52 What is the remainder when 2875765 is divided by 5584? 5 Calculate the remainder when 4288700 is divided by 458. 446 Calculate the remainder when 4016756 is divided by 7522. 8 What is the remainder when 42913 is divided by 1226? 3 What is the remainder when 15127242 is divided by 179? 131 What is the remainder when 45766120 is divided by 63830? 10 Calculate the remainder when 5159248 is divided by 793. 783 What is the remainder when 10652265 is divided by 564? 561 Calculate the remainder when 389351 is divided by 194657. 37 Calculate the remainder when 114311 is divided by 872. 79 Calculate the remainder when 56598 is divided by 3966. 1074 Calculate the remainder when 421740 is divided by 210152. 1436 What is the remainder when 11613486 is divided by 490? 486 Calculate the remainder when 2215171 is divided by 4966. 335 What is the remainder when 32682180 is divided by 58? 50 Calculate the remainder when 29821 is divided by 29677. 144 Calculate the remainder when 1093168 is divided by 2884. 132 What is the remainder when 48129925 is divided by 1570? 5 Calculate the remainder when 768810 is divided by 30. 0 What is the remainder when 1406720 is divided by 665? 245 What is the remainder when 6074862 is divided by 5? 2 What is the remainder when 22494 is divided by 7447? 153 What is the remainder when 59626 is divided by 11812? 566 What is the remainder when 2317898 is divided by 10? 8 What is the remainder when 304974 is divided by 101649? 27 What is the remainder when 11283701 is divided by 14? 9 What is the remainder when 2648799 is divided by 661799? 1603 What is the remainder when 317561 is divided by 1671? 71 What is the remainder when 1490407 is divided by 36? 7 Calculate the remainder when 91736 is divided by 18310. 186 Calculate the remainder when 383944 is divided by 384. 328 Calculate the remainder when 471904 is divided by 10725. 4 Calculate the remainder when 323234 is divided by 7854. 1220 Calculate the remainder when 3712157 is divided by 2162. 3 What is the remainder when 620695 is divided by 310342? 11 What is the remainder when 70854 is divided by 142? 138 What is the remainder when 1110782 is divided by 82? 10 Calculate the remainder when 58012868 is divided by 251. 242 Calculate the remainder when 148491 is divided by 964. 35 What is the remainder when 8467179 is divided by 25? 4 Calculate the remainder when 64897796 is divided by 45. 11 Calculate the remainder when 269604984 is divided by 73. 70 Calculate the remainder when 12273189 is divided by 112598. 7 What is the remainder when 70429741 is divided by 1467286? 13 What is the remainder when 12104997 is divided by 2421? 2418 What is the remainder when 499653357 is divided by 4645? 4642 What is the remainder when 121936184 is divided by 1593? 1592 Calculate
{ "pile_set_name": "DM Mathematics" }
ns digit of j? 4 Let u be (-44)/(-2) - (-17 - -21). Suppose 6766 = -m + u*m. What is the units digit of m? 8 Suppose 33 = -114*w + 117*w. Let x(s) = 13*s - w*s - 43 + 130. What is the tens digit of x(0)? 8 Suppose 144*k + 5 = 143*k. What is the hundreds digit of k/20*-1076 + 0? 2 Let s be (-1)/((-15)/(-50) - 5/(-25)). Let j(t) = -479*t - 9. What is the tens digit of j(s)? 4 Suppose a - 36642 = 3*v + 3700, 4 = -4*v. Suppose -15*d = 14*d - a. What is the tens digit of d? 9 Let t(c) = 10*c**2 + 13*c + 18. Let n be (-100)/(-30)*(2/(-5) + -2). What is the hundreds digit of t(n)? 5 Suppose 25 - 71 = 2*u + 2*p, -75 = 5*u - 3*p. Let r = u + 20. Suppose -4*t = l - 43, 5*t = -l - r*l + 59. What is the units digit of t? 0 Suppose -4*m = 4*i - 1100, -6*i = -5*m - 7*i + 1383. Let f = 10 + m. What is the hundreds digit of f? 2 Let f be ((-4)/12)/1 - (-15)/(-9). Let q(i) = -6*i - 7. Let x be q(f). Suppose -4*u = 20, 5*u = x*s - 810 - 30. What is the hundreds digit of s? 1 What is the tens digit of -4*(259*9/(-36) - 1)? 6 Let y = -236 - -621. Suppose 14*l - 10*l + 988 = 0. Let m = l + y. What is the hundreds digit of m? 1 Let z(q) = -q**2 - 22*q - 21. Let a be z(-20). Suppose -7 = 2*p - a. What is the units digit of (p*14/8)/((-6)/(-28))? 9 Let w be 262 + (20/(-2))/(-5). What is the tens digit of (w/(-84))/((-1)/21)? 6 Suppose 4*j = 25 + 159. Suppose 3*a - j = -4*p, -2*a + 0*a + 32 = 3*p. What is the tens digit of a/80 - (-95)/8? 1 Let k be -2*((-4)/(-22) - (-21)/66). Let o be 1 + 9/(k - 2/4). What is the units digit of 581/6 - (o - 116/(-24))? 7 Let v(x) = -2*x**2 + 12*x + 12. Let z be v(6). Suppose z*r = -2*a + 7*r + 1617, -a = -r - 812. What is the units digit of a? 1 Suppose 44 = -4*y + 20. Let z(q) = -q**3 - 5*q**2 - 16*q - 7. What is the units digit of z(y)? 5 Let a(y) = 16*y + 16409 + y**2 - 16454 + 14*y. What is the tens digit of a(11)? 0 Suppose 0 = 5*i - 36 + 11. Let a = 168 - 168. Suppose -x - 4*f = -84, -i*x + a*x = f - 382. What is the tens digit of x? 7 Suppose 9*n + 14*n - 99594 = 5*n. What is the thousands digit of n? 5 Suppose -4*w + 10118 = -r, -165 = -w - 5*r + 2333. What is the tens digit of w? 2 What is the thousands digit of (20/(12/(-3)) + (-23216)/(-2))/1? 1 Suppose 290*m + 3403827 - 22132607 = 0. What is the hundreds digit of m? 5 Suppose v = 6*v - 15. Let d(m) = 3 + 42*m + 18*m + 34*m + 7 - 28*m. What is the tens digit of d(v)? 0 Let t(p) = 402 + 6*p - p - 424. Suppose -h = -4*z + 43 + 14, 0 = 4*z + 2*h - 42. What is the units digit of t(z)? 3 Let q(k) = 179*k + 29. Suppose 7*x = 2*x + 10. What is the hundreds digit of q(x)? 3 Suppose 840*j - 82121 = 827*j. What is the tens digit of j? 1 Let c = -683 - 223. What is the units digit of 10 - (c - 12) - 1*3? 5 Let a(o) = -o**2 + 2. Let w be a(3). Let f(l) = -69 + 200 - 110 - l. What is the units digit of f(w)? 8 Suppose 3*l - 383 = -0*b + 2*b, l - 2*b = 125. Let h = 110 + l. What is the tens digit of h? 3 Suppose -2*u + 2*d - 5*d = 2, -2*d = 4*u + 20. Let n = 9 - u. Suppose -4*p = t - 5*p - 26, 3*p + n = t. What is the tens digit of t? 3 Let p(r) = -r**3 + 15*r**2 + 31*r - 3. Let z be p(13). Let o = 1055 - z. What is the hundreds digit of o? 3 Let m(z) = 27*z - 26. Let q(c) = -135*c + 148. Let k(f) = 11*m(f) + 2*q(f). Suppose 3*v - 12 = 9. What is the units digit of k(v)? 9 Suppose -q - 327 = -2*q + i, 0 = -2*q + 4*i + 664. Let z = q - 221. Suppose -j = -4*v + 369, 171 + z = 3*v + 4*j. What is the tens digit of v? 9 Let h be ((-6)/(-3) + 1)*(4 - -1). Let l(d) = d**3 - 15*d**2 - 13*d - 27. Let r be l(h). Let v = r - -429. What is the hundreds digit of v? 2 Let i(u) = -21*u**2 + 4*u - 14. Let z be i(-8). What is the hundreds digit of ((-4)/10)/(2/z)? 2 Let m(f) = 8583*f + 957. What is the ten thousands digit of m(2)? 1 Suppose -4*h - 56120 = -5*s, -22256 = -3*s - 5*h + 11379. What is the units digit of s? 0 Let m = 343 - 149. Let j be -86 + 2*(-1)/(-2). Let d = m + j. What is the hundreds digit of d? 1 Suppose 0 = -3*v + 5*g + 625, 4*v + 2*g - 835 = 7*g. Suppose 0 = -16*j + 13*j - v. Let a = -49 - j. What is the tens digit of a? 2 Let a(q) = -q**2 + 12*q - 24. Let z be a(9). Let w be 1089/12 + z/(-4). Suppose 3*d + 2*c + c - w = 0, 20 = -4*c. What is the units digit of d? 5 Let c = -9400 - -13453. What is the tens digit of c? 5 Let b(l) = 184*l**2 - 13*l - 11. What is the ten thousands digit of b(-8)? 1 What is the hundreds digit of (-494915)/309*6/(-1)? 6 What is the tens digit of ((-131)/6*12/(-6))/((-8)/(-528))? 8 What is the thousands digit of 2870 + -2 - (8 + -11 + 2) - -4? 2 Suppose 14*v - 13*v - 15 = -5*h, -3*v - 19 = -h. Let c be ((-345)/(-20))/(6/16). Suppose 4*q = 4*m - 30 - c, m - h*q = 10. What is the tens digit of m? 2 Suppose 12*h - 32*h = -14*h - 63816. What is the hundreds digit of h? 6 Suppose -4*k + 12 = 5*x - 0*x, 3*k - 9 = -5*x. Suppose x = 12*d - 159 - 669. What is the units digit of d? 9 Let u = -71 - -24. Let f = u - -348. Suppose y - 77 = -3*o + 18, -f = -3*y - 5*o. What is the tens digit of y? 0 Let f = 495 - 197. What is the hundreds digit of ((-3)/12 + f/8)*14? 5 Let u = 16059 + -10259. What is the units digit of u? 0 Let n(f) = -3*f - 14. Let o be n(-7). What is the hundreds digit of 50/75*(95445/6)/o? 5 Let p(y) = -y**3 - 19*y**2 - 35*y - 21. Let i be p(-17). Let q(k) = -27*k**3 - 8*k**2 - 13*k - 32. What is the hundreds digit of q(i)? 6 Suppose 6*b - 11*b + 5*y = -55, -5 = -b + 4*y. Suppose b*v - 495 = 5602. What is the hundreds digit of v? 4 Suppose q - 18 = 4*i, 2*q - 4*q = -2*i - 66. Let a = 424 - 284. Suppose a = -36*p + q*p. What is the units digit of p? 0 Suppose -4*p = 3*p + 28. Let t be (-3)/(-3 + ((-1416)/117)/p). Let g = 38 - t. What is the units digit of g? 5 Suppose -572*u = -293*u - 5976738. What is the thousands digit of u? 1 Suppose 4*i - r = 171, 0 = 3*i - r - 2*r - 135. Suppose 41*t - i*t = 24. Let q = 143 - t. What is the units digit of q? 7 Let f(j) = j + 1. Let w be f(4). Let o = -24 - -13. Let y = w - o. What is the units digit of y? 6 Let i(g) = -13408*g**3 + 2*g**2 + 5*g + 6. What is the thousands digit of i(-1)? 3 Suppose 0 = a - 2*z + 4, 5*a + z = 6*z. Suppose a*x - 199 = -h, -87 = -2*x - 0*x - 3*h. Let d = x + 16. What is the tens digit of d? 6 Let v = 7 - 12. What is the units digit of (-4 + (v - -10))*247? 7 Let w(p) = -455*p - 29. What is the thousands digit of w(-3)? 1 Suppose -24*n = 9*n + 8250. Let x = 88 - n. What is the tens digit of x? 3 Let l = 8128 + -3808. What is the thousands digit of l? 4 Let l(x) = -8*x - 33. Let o(s) = -15*s - 67. Let q(k) = -11*l(k) + 6*o(k). Let f be q(-18). Let z = 26 + f. What is the tens digit of z? 2 What is the units digit of (-82)/533 - 604346/(-13)? 8 Let t = 63 + -58. Suppose 5*j + f - 1962 = 0, 2*j + f - 798 = t*f. What is the hundreds digit of j? 3 Suppose 4*y = -4*h + 68, 61*y - 65*y - 85 = -5*h. Suppose h*v - 15329 + 3786 = 0. What is the tens digit of v? 7 Let b(y) = -y**3 + 59*y**2 - 14*y + 361. What is the units digit of b(57)? 1 Let w(j) = -2*j + 0*j**2 + 2*j**2 - 2 + 13*j**3 - 4*j**2 + 3. Let a be w(2). Suppose -30*n + a = -27*n. What is the units digit of n? 1 Let p(j) = j**3 + 0*j + 2*j - 9*j**2 + 12 + 7*j + 0*j**3. Let l be p(10). Suppose l = 4*x - 242. What is the hundreds digit of x? 1 Suppose 5*t + 2 = 22. Suppose -t*b = 2*c - 92, -b - 3*c + 4*c = -17. What is the units digit of b + -6 - (3 + -1)? 3 Let z be 4 + 10 - (3 - -5). Suppose -7*p + 10426 = z*p. What is the hundreds digit of p? 8 Suppose -38*x - 2 = -39*x. What is the units digit of x + -10 + 8 + (513 - 0)? 3 Suppose 28*u = 31*u - 23541. Suppose u = 2*r + 17*r. What is the units digit of r? 3 Let s(c) = 2*c**2 + 19*c + 11. Let b be s(-14). Suppose 0 = -2*i + b + 51. Let g = i + 48. What is the units digit of g? 2 Suppose 159*d - 154*d - 2*a = 28727, 0 = -d + 4*a + 5731. What is the units digit of d? 7 Let g(p) = -31*p - 284. Let s be g(-9). Let u(l) = -8*l**3 - l**2 + 11*l + 22. What is the units digit of u(s)? 2 Suppose -4*h - 9 = 3*m, 3*m - 4 = 2*h + 5. What is the hundreds digit of (m/(-1))/(13/(-10907))? 8 Let l(v) = -v**3 + 10*v**2 + 11*v - 4. Let y be l(11). What is the units digit of 5 + (-27815)/(-20) - 1/y? 6 What is the thousands digit of 7 - 3 - (-6)/(-3) - -6284? 6 Let b(q) = -5*q**2 + 15*q - 11. Let
{ "pile_set_name": "DM Mathematics" }
ob of picking 2 y and 1 m when three letters picked without replacement from {y: 6, q: 4, m: 3}? 45/286 Calculate prob of picking 1 t and 3 y when four letters picked without replacement from ytyytyyyyt. 1/2 Four letters picked without replacement from vqvvvfvvffvfffvvvvf. What is prob of picking 2 f, 1 v, and 1 q? 77/1292 Three letters picked without replacement from {h: 2, a: 2, q: 2, t: 3, o: 2, c: 4}. What is prob of picking 1 o and 2 q? 2/455 What is prob of picking 1 m and 1 h when two letters picked without replacement from {m: 1, r: 1, u: 2, s: 1, f: 2, h: 1}? 1/28 Two letters picked without replacement from clglglg. Give prob of picking 1 c and 1 l. 1/7 Three letters picked without replacement from {k: 3, g: 3}. What is prob of picking 3 g? 1/20 Calculate prob of picking 3 q when three letters picked without replacement from {q: 6, j: 9, t: 2}. 1/34 Three letters picked without replacement from {d: 3}. Give prob of picking 3 d. 1 Two letters picked without replacement from {y: 9, q: 7}. What is prob of picking 1 q and 1 y? 21/40 Two letters picked without replacement from uvuzmtw. What is prob of picking 1 z and 1 u? 2/21 Calculate prob of picking 2 t when two letters picked without replacement from {t: 9, b: 9}. 4/17 Two letters picked without replacement from iiiiriiri. What is prob of picking 2 r? 1/36 Four letters picked without replacement from nwwnekknkw. Give prob of picking 3 k and 1 w. 1/70 What is prob of picking 1 j and 1 k when two letters picked without replacement from rkrjjkmmjrjjr? 5/39 Calculate prob of picking 2 z when two letters picked without replacement from {v: 4, z: 6, c: 1}. 3/11 Two letters picked without replacement from {e: 4, y: 6}. What is prob of picking 2 y? 1/3 Calculate prob of picking 1 p, 1 h, and 1 q when three letters picked without replacement from {q: 2, p: 4, h: 3}. 2/7 Calculate prob of picking 1 m and 1 k when two letters picked without replacement from {m: 2, f: 1, z: 2, x: 1, k: 3, i: 10}. 2/57 Two letters picked without replacement from {a: 2, f: 4}. Give prob of picking 2 f. 2/5 Four letters picked without replacement from bvcqbq. What is prob of picking 3 v and 1 q? 0 Calculate prob of picking 4 b when four letters picked without replacement from {b: 9}. 1 Two letters picked without replacement from mmnnnnnnnk. Give prob of picking 2 m. 1/45 Two letters picked without replacement from {j: 2, p: 2, c: 1, y: 4, z: 6}. Give prob of picking 1 j and 1 y. 8/105 Calculate prob of picking 1 o, 1 p, 1 g, and 1 j when four letters picked without replacement from {g: 4, p: 1, j: 2, o: 1}. 4/35 Two letters picked without replacement from {p: 3, w: 5}. What is prob of picking 1 p and 1 w? 15/28 Two letters picked without replacement from {f: 6, b: 7, w: 4}. What is prob of picking 1 f and 1 w? 3/17 Three letters picked without replacement from xummmuupmm. What is prob of picking 1 m, 1 p, and 1 u? 1/8 Calculate prob of picking 1 l and 2 h when three letters picked without replacement from {h: 8, t: 5, v: 2, l: 1, i: 1}. 7/170 Four letters picked without replacement from bxgbbbxibgibbxxbbx. Give prob of picking 2 g and 2 x. 1/306 Three letters picked without replacement from ttteeetetetttttt. Give prob of picking 3 t. 33/112 Four letters picked without replacement from {h: 3, g: 1, t: 5, v: 2, q: 1}. Give prob of picking 1 q, 1 t, and 2 h. 1/33 Calculate prob of picking 3 j when three letters picked without replacement from {j: 7}. 1 Three letters picked without replacement from {h: 3, t: 13}. What is prob of picking 2 t and 1 h? 117/280 Two letters picked without replacement from {l: 3, z: 1, x: 4, e: 2, r: 1, k: 1}. Give prob of picking 2 x. 1/11 Three letters picked without replacement from {d: 2, m: 2, v: 2, n: 4, s: 2}. What is prob of picking 1 n, 1 v, and 1 s? 4/55 Two letters picked without replacement from {i: 4, p: 4, s: 9}. What is prob of picking 1 i and 1 s? 9/34 Calculate prob of picking 1 q and 1 f when two letters picked without replacement from xxfqfxqq. 3/14 What is prob of picking 4 t when four letters picked without replacement from wttwwtt? 1/35 Calculate prob of picking 1 z and 1 j when two letters picked without replacement from {e: 1, d: 1, j: 1, z: 1, v: 1}. 1/10 Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {f: 1, r: 6, k: 2, t: 5, i: 1}. 2/35 What is prob of picking 1 w and 2 b when three letters picked without replacement from pwybbwyq? 1/28 Calculate prob of picking 1 z and 1 d when two letters picked without replacement from bzdzdo. 4/15 Three letters picked without replacement from srrxsxtrtr. What is prob of picking 1 x and 2 s? 1/60 Three letters picked without replacement from {l: 5, o: 9}. What is prob of picking 2 o and 1 l? 45/91 What is prob of picking 1 q and 2 t when three letters picked without replacement from zvvqtzqqzzvtzzv? 3/455 What is prob of picking 1 d and 1 x when two letters picked without replacement from dddddxxd? 3/7 Three letters picked without replacement from {x: 1, d: 2, q: 7}. Give prob of picking 2 q and 1 x. 7/40 Two letters picked without replacement from {z: 1, h: 1, q: 3, v: 1, y: 1}. Give prob of picking 1 y and 1 v. 1/21 Three letters picked without replacement from rpgqkgy. Give prob of picking 2 g and 1 y. 1/35 Calculate prob of picking 1 p and 3 v when four letters picked without replacement from plllpvxlvll. 0 Three letters picked without replacement from aaaaafaaaaaaaaaaaf. Give prob of picking 3 a. 35/51 Two letters picked without replacement from {i: 1, h: 6, a: 1, f: 5, b: 1, v: 3}. Give prob of picking 2 v. 3/136 Calculate prob of picking 1 h and 2 k when three letters picked without replacement from khhkhhkhkkkkkkkk. 55/112 Two letters picked without replacement from sce. What is prob of picking 1 s and 1 c? 1/3 Four letters picked without replacement from {a: 4, d: 7, u: 2}. Give prob of picking 3 d and 1 a. 28/143 Three letters picked without replacement from {u: 1, j: 2, x: 1, r: 3, a: 1, c: 4}. What is prob of picking 1 a, 1 x, and 1 j? 1/110 Calculate prob of picking 1 x, 2 w, and 1 l when four letters picked without replacement from {x: 2, c: 4, l: 1, w: 2}. 1/63 Two letters picked without replacement from ydnyddnynddydndddnnd. What is prob of picking 1 n and 1 y? 12/95 Calculate prob of picking 2 c when two letters picked without replacement from {o: 2, c: 2, q: 1, e: 1}. 1/15 Two letters picked without replacement from iylilyyiyyyiyllyyyy. What is prob of picking 1 i and 1 l? 16/171 Two letters picked without replacement from xfxexfb. Give prob of picking 2 x. 1/7 What is prob of picking 1 p and 1 v when two letters picked without replacement from {r: 2, v: 2, t: 1, s: 4, p: 1}? 2/45 Calculate prob of picking 1 p and 1 g when two letters picked without replacement from wlwpflgpllgllgpg. 1/10 Four letters picked without replacement from ioiyyii. What is prob of picking 2 i and 2 y? 6/35 Calculate prob of picking 3 e when three letters picked without replacement from {r: 3, e: 13}. 143/280 What is prob of picking 1 y and 3 j when four letters picked without replacement from {y: 12, j: 3}? 4/455 Three letters picked without replacement from {w: 11, a: 4, x: 4}. Give prob of picking 3 x. 4/969 Calculate prob of picking 3 b and 1 x when four letters picked without replacement from {b: 4, o: 3, x: 4}. 8/165 Calculate prob of picking 1 n and 1 e when two letters picked without replacement from ennvn. 3/10 Two letters picked without replacement from {y: 2, l: 18}. What is prob of picking 2 y? 1/190 What is prob of picking 4 z when four letters picked without replacement from {z: 4, q: 14}? 1/3060 What is prob of picking 1 o, 1 a, and 1 x when three letters picked without replacement from abowbbxwaw? 1/60 Four letters picked without replacement from {c: 2, m: 7, d: 2}. Give prob of picking 2 m, 1 d, and 1 c. 14/55 Calculate prob of picking 3 x and 1 i when four letters picked without replacement from xgxgxxixqxgxg. 7/143 What is prob of picking 3 o and 1 t when four letters picked without replacement from {t: 10, v: 2, o: 6}? 10/153 What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 2, x: 4, w: 1, g: 1, v: 7}? 8/105 Four letters picked without
{ "pile_set_name": "DM Mathematics" }
tor of -10/11 and 199/15 + 2/j? 55 Let h = -4369 - -122271/28. Find the common denominator of h and -13/4. 28 Let u = 29120/111803 - -2/4861. Let q = u + 101/230. What is the common denominator of -17/6 and q? 30 Suppose 6*d = -2*d + 400. Calculate the lowest common multiple of 10 and d. 50 Suppose 3*x + 21 = 3. Let z = 0 - x. Suppose 0*o + 4*o + 2*w = 38, -5*o + 47 = 2*w. Calculate the smallest common multiple of o and z. 18 Let p = 605711/182 + -3328. Let w = -9827/1092 + p. Find the common denominator of w and 137/18. 36 Let v = 6 - 2. Suppose 2*x - 5*b + 13 = 0, -b + 5 = v*x - 5*x. Calculate the lowest common multiple of 18 and (12 + 0)*x/(-6). 72 Let z(m) = -3*m**2 - m + 2. Let c(f) = f**2 + 8*f - 7. Let w be c(-9). Find the common denominator of (2/(-6))/(1/(-16)) and z(w). 3 Suppose 5 = 6*p - 7. Let j = -22 - -54. Calculate the lowest common multiple of p and j. 32 Suppose s - 3*q + 1 = 0, 1 = s + q - 2*q. Let z(p) = p**3 - 9*p**2 + 10*p - 4. Let x = 0 + 8. Calculate the least common multiple of z(x) and s. 12 Let h(l) = l + 1. Let o be h(-7). What is the least common multiple of 7 and o/(-21) - (-47)/7? 7 Let f be 3/((-3)/(-2)) - -1. Suppose -2*t - 5*v + 25 = 3*t, v + 35 = f*t. What is the smallest common multiple of 22 and t? 110 Let c(p) = 2*p**2 + 10*p - 16. Calculate the smallest common multiple of 4 and c(-8). 32 Let n(z) = z**2 + 2*z - 8. Let g = -13 + 7. What is the least common multiple of 8 and n(g)? 16 Let k = 11 + -54. Calculate the common denominator of -45/28 and 8/20 + k/20. 28 Suppose o + 16780 = -3*o. Let n = 5879303 - 70501231/12. Let i = o + n. What is the common denominator of i and 63/10? 60 Suppose 2*b + 6 = 3*b. What is the smallest common multiple of 9 and b? 18 Let t(y) = -y**2 + 3*y + 23. What is the least common multiple of 16 and t(6)? 80 What is the common denominator of -23/16 and 1/((1/2)/((-122)/12))? 48 Suppose 2*l = -0*l + 24. Suppose 2*o = o + l. Find the common denominator of 161/o + (-1)/1 and 71/2. 12 What is the common denominator of (146/6)/((-2)/3) and 6/(-75) + 14015/1750? 14 Let h be 3 - -3*(-4)/12. Suppose 2*a + 96 = 4*u - 78, h*a = 5*u - 219. Let n = 1417/70 + -78/7. What is the common denominator of u and n? 10 Let u = 563953162 + -1782092016237/3160. Let d = u - 3/632. Calculate the common denominator of 107/18 and d. 90 Suppose 3*c + c + 12 = 4*b, -3*b + 4*c + 9 = 0. Suppose -5*i + 11 = b*y, 4*i + 5 = 5*y - 1. Calculate the least common multiple of y and 6. 6 Let u = 130 + -112. Calculate the least common multiple of 178 and u. 1602 Let o be -3*-4*(-1)/4. What is the least common multiple of 22 and ((-3)/4)/(o/48)? 132 Calculate the common denominator of -53/9 and (-15)/10*(-14)/(-6). 18 Let w(l) = l**2 - l. Let b be w(3). What is the common denominator of 15/4 and 62/4*(b + -3)? 4 Suppose -c + 11 = -3. Find the common denominator of (-2)/c - (-241)/168 and -149/6. 24 Let k = -4037/126 + 234/7. Calculate the common denominator of k and -19/10. 90 Find the common denominator of (-146)/(-18) + -1 - 2 and -10/9. 9 Let a = -2167 - -1237. Find the common denominator of (a/20)/(1 + -4) and -113/6. 6 Suppose 5*d + 13 = 2*q + 5, 3*d - 4*q + 16 = 0. Calculate the common denominator of -31/11 and (2 + d)*(-14)/(-4). 11 Let g = 43073/18 - 2386. Find the common denominator of g and (79 - 0)/(22*1). 198 What is the common denominator of 3/35 and 1/4*(-113 - -7)? 70 Find the common denominator of 0 - (2 - 44/(-76)) and 14/3. 57 Suppose -5*j + 4*a = 7*a - 56, 0 = -j + a + 8. What is the lowest common multiple of j and 6? 30 Let r(a) = a**2 - 5*a + 8. Let j be r(7). Suppose 0 = -2*b - j + 50. Calculate the least common multiple of b and (5 - 1)*1 + 0. 28 Suppose -13*v + 1480 = 427. Calculate the least common multiple of v and 24. 648 What is the common denominator of -103/6 and (-1)/((-32)/(-202)*-1)? 48 Let v = -571 - -3401/6. Let u = -33669/8 - -4200. Calculate the common denominator of u and v. 24 Let l = -13217 - -198343/15. What is the common denominator of -149/6 and l? 30 Suppose z + 8*m - 860 = 3*m, 860 = z + 2*m. Let w = 2605/3 - z. What is the common denominator of (7/(-30))/(2/18) and w? 30 Let b = -22 + 38. Suppose 6 = -2*z + b. What is the smallest common multiple of z and 6? 30 Let n = 57 + -50. Calculate the smallest common multiple of 11 and n. 77 What is the common denominator of 1/11 and 2 + (2/(-9) - 2108/396)? 11 Suppose s + 4*a + 1679 = 0, 2*s - 2*a = s - 1649. Let c = 1/305784 + -503091127/305784. Let o = c - s. What is the common denominator of o and -15/2? 4 Let r = -9 - -47. Let m = -26 + r. Calculate the smallest common multiple of 4 and m. 12 Suppose 3*b - b - 4 = 0. What is the common denominator of ((-28)/(-24))/(b/(-6)) and 67/18? 18 Let i(h) = h**3 + 2*h**2 - 3*h + 5. Let x be i(-4). Find the common denominator of ((-29)/5)/((-6)/x) and (-29)/(-16) + -1 + 2. 16 Let c = 208786 - 1464653/7. Let h = c + 449. Let z = -283/70 + 79/10. What is the common denominator of h and z? 7 Suppose 2*a - 4*a = -5*l + 55, -3*a - 33 = -3*l. Suppose 3*x - 3*w - 38 = -2*x, 0 = 2*w - 8. Let c = x + -5. What is the smallest common multiple of c and l? 55 Let m = 13 - 9. What is the least common multiple of 6 and m? 12 Let c = -70/339 + 22219/7458. Calculate the common denominator of 35/4 and c. 44 Let b(t) = 7*t**2 - 1. Let j = 5 + -4. Calculate the least common multiple of b(j) and 8. 24 Let b = -1171/102 + 130/17. Find the common denominator of b and ((-87)/4)/((-3)/(-2)). 6 Let y be 4545*((-33)/(-9) + -1). Let s = 121307/10 - y. What is the common denominator of s and 1 + ((-67)/22 - 2)? 110 Let z = 18055 + -71493/4. Let w = z + -186. Calculate the common denominator of w and 39/22. 44 Let x be (10/1)/(-3 - -2). Suppose 5*l - 93 = -4*o, o - 4*o = 2*l - 61. Let w = o + x. What is the least common multiple of 7 and w? 7 Suppose -4*q - 45 = -109. Calculate the lowest common multiple of 1/3 + 11/3 and q. 16 Find the common denominator of 3 - (-3)/(105/185) and -113/42. 42 Find the common denominator of 103/116 and (7 - 6) + (-33)/2. 116 Let z be (-5)/(-4)*(-217482)/40. Let l = -6794 - z. Calculate the common denominator of (10/4)/((-5)/25) and l. 16 Let l be -1 - (-7)/(193648/27660). Let m be (-49274)/(-52)*2/665. Let k = m - l. Calculate the common denominator of k and -117/14. 140 Calculate the common denominator of 3/4 and 1/(-3) - 1881/108. 4 Let g = 81 - 55. Let u(o) = -o - 6. Let c be u(-9). Calculate the smallest common multiple of g/c - 4/(-12) and 5. 45 Let c = -14 + 7. Calculate the common denominator of ((-1190)/4)/c + 2 and ((-4)/(-30))/((-8)/(-138)). 10 Let b = -3 + 2. Let h = -31957/8 + 3984. Find the common denominator of (((-870)/8)/(-5))/b and h. 8 Suppose -x - 128 = 342. Suppose -2*a = 24 + 66. Find the common denominator of x/a*(-6)/8 and 117/14. 42 Let h = -19 + 27. Calculate the least common multiple of 9 and h. 72 Let u = 728 - 1427/2. Let d = 113457/14 + -8111. Find the common denominator of d and u. 14 Suppose -1200 = -4*y + 6*y. Calculate the smallest common multiple of 5 and y/(-56) - (-2)/7. 55 Let o be 1 - (-5)/(20/(-12)). Calculate the common denominator of o + ((-42)/27 - 1) and 107/10. 90 Let f = -1493/948 - 2/237. Find the common denominator of f and 33/20. 60 Let y = -113623/13260 + -16/1105. Find the common denominator of -93/20 and y. 60 Let r be (82/(-15))/((-4)/(-6)). Let m = 184157/10 + -18395. Let q = r + m. What is the common denominator of -53/7 and q? 14 Let h(o) = -o**3 - 7*o**2 - 7*o - 5. Let k(j) = -2*j + 10. Let n = -4 + 12. Let f be k(n). Calculate the smallest common multiple of h(f) and 10. 10 Suppose 3*u + u = 0, -35 = 5*s + 2*u. Find the common denominator of 17/2 and 2/(-2)*23/s. 14 Find the common denominator of (-1)/(-4) + (-181)/(-4) and 1 - ((-625)/30 + 2). 6 Let h be (-3191)/(-60) + 3/(-12). Let a be 1 + (-12957)/270 + -2. Let w = h + a. Calculate the common denominator of w and 5/12. 36 Let r(k) = -k**2 - 16*k - 16. Calculate the lowest common multiple of 16 + 2 - (-1 + 1) and r(-14). 36 Let o = 1/406 + -8537/4466. Calculate the common denominator of o and ((-5)/(-2))/((-1)/5). 22 Suppose 1 = 5*x - 4. Let c be (-9)/(x + (-5)/8). Calculate the common denominator of (-115)/(-8)*c/20 and 109/20. 20 Let q = -85091/3378 + 13/563. Calculate t
{ "pile_set_name": "DM Mathematics" }
8, 392, 484? -f**2 + 101*f + 4 What is the u'th term of 178, 69, -38, -143, -246, -347, -446? u**2 - 112*u + 289 What is the h'th term of 31, 44, 61, 82, 107, 136, 169? 2*h**2 + 7*h + 22 What is the n'th term of -342, -339, -336, -333, -330? 3*n - 345 What is the v'th term of -652, -651, -638, -607, -552, -467, -346? v**3 - 6*v - 647 What is the q'th term of 44, -64, -228, -436, -676? 2*q**3 - 40*q**2 - 2*q + 84 What is the o'th term of -4, -11, -20, -37, -68? -o**3 + 5*o**2 - 15*o + 7 What is the v'th term of 10, 27, 70, 151, 282? 2*v**3 + v**2 + 7 What is the g'th term of -699, -703, -707, -711, -715? -4*g - 695 What is the o'th term of 18, 29, 38, 45, 50, 53, 54? -o**2 + 14*o + 5 What is the h'th term of -67, -135, -257, -439, -687, -1007, -1405? -h**3 - 21*h**2 + 2*h - 47 What is the f'th term of -114, -225, -336, -447, -558, -669? -111*f - 3 What is the s'th term of -532, -1064, -1596, -2128, -2660? -532*s What is the s'th term of 2291, 4583, 6875, 9167? 2292*s - 1 What is the l'th term of -53, -146, -303, -524, -809, -1158? -32*l**2 + 3*l - 24 What is the o'th term of 440, 1740, 3906, 6938, 10836, 15600, 21230? 433*o**2 + o + 6 What is the r'th term of 41, 144, 305, 518, 777, 1076, 1409? -r**3 + 35*r**2 + 5*r + 2 What is the u'th term of -506, -507, -508, -509, -510? -u - 505 What is the w'th term of -192, -387, -582, -777, -972? -195*w + 3 What is the j'th term of 317, 320, 327, 338, 353, 372, 395? 2*j**2 - 3*j + 318 What is the o'th term of -44, -74, -104? -30*o - 14 What is the s'th term of 7, 13, 15, 7, -17, -63, -137, -245? -s**3 + 4*s**2 + s + 3 What is the v'th term of 428, 853, 1274, 1691, 2104, 2513? -2*v**2 + 431*v - 1 What is the p'th term of 981, 1949, 2903, 3837, 4745, 5621, 6459? -p**3 - p**2 + 978*p + 5 What is the a'th term of -1638, -1632, -1626, -1620? 6*a - 1644 What is the m'th term of -291, -1099, -2433, -4299, -6703? -m**3 - 257*m**2 - 30*m - 3 What is the t'th term of 119, 115, 107, 95, 79, 59, 35? -2*t**2 + 2*t + 119 What is the f'th term of 23, 14, -19, -76, -157, -262, -391? -12*f**2 + 27*f + 8 What is the h'th term of 30, 31, 32, 33, 34, 35? h + 29 What is the f'th term of 14, 16, 20, 26, 34? f**2 - f + 14 What is the o'th term of -27, -22, 11, 78, 185? o**3 + 8*o**2 - 26*o - 10 What is the g'th term of 143, 275, 395, 503, 599? -6*g**2 + 150*g - 1 What is the n'th term of 36, 74, 102, 114, 104, 66, -6? -n**3 + n**2 + 42*n - 6 What is the v'th term of 31, 63, 91, 115? -2*v**2 + 38*v - 5 What is the c'th term of 1149, 1145, 1141? -4*c + 1153 What is the j'th term of 107, 111, 113, 119, 135, 167, 221? j**3 - 7*j**2 + 18*j + 95 What is the i'th term of -14, -34, -64, -110, -178, -274, -404? -i**3 + i**2 - 16*i + 2 What is the x'th term of -952, -954, -958, -964? -x**2 + x - 952 What is the b'th term of -485, -478, -471, -464, -457, -450? 7*b - 492 What is the b'th term of 2652, 5305, 7958? 2653*b - 1 What is the j'th term of 504, 465, 426, 387? -39*j + 543 What is the u'th term of 356, 358, 360, 362? 2*u + 354 What is the y'th term of -645, -641, -637, -633? 4*y - 649 What is the v'th term of -16, -29, -42, -55, -68? -13*v - 3 What is the a'th term of -41, -53, -83, -137, -221, -341, -503? -a**3 - 3*a**2 + 4*a - 41 What is the j'th term of -197, -205, -203, -185, -145? j**3 - j**2 - 12*j - 185 What is the i'th term of -2, -8, -14, -20, -26, -32? -6*i + 4 What is the j'th term of 2112, 2122, 2134, 2148, 2164? j**2 + 7*j + 2104 What is the q'th term of -626, -616, -584, -518, -406? 2*q**3 - q**2 - q - 626 What is the j'th term of -3474, -3482, -3492, -3504, -3518? -j**2 - 5*j - 3468 What is the i'th term of 1835, 1841, 1849, 1859? i**2 + 3*i + 1831 What is the m'th term of -14, -10, -6, -2, 2? 4*m - 18 What is the w'th term of 1800, 1813, 1842, 1893, 1972, 2085, 2238? w**3 + 2*w**2 + 1797 What is the m'th term of -2833, -2832, -2821, -2794, -2745, -2668, -2557? m**3 - m**2 - 3*m - 2830 What is the z'th term of -429, -430, -433, -438? -z**2 + 2*z - 430 What is the l'th term of -86, -120, -142, -146, -126, -76? l**3 - 41*l - 46 What is the c'th term of -12, -43, -78, -123, -184, -267? -c**3 + 4*c**2 - 36*c + 21 What is the k'th term of 181, 176, 171, 166, 161? -5*k + 186 What is the h'th term of 124, 486, 1084, 1912, 2964, 4234? -h**3 + 124*h**2 - 3*h + 4 What is the p'th term of 161, 299, 445, 605, 785, 991, 1229? p**3 - 2*p**2 + 137*p + 25 What is the j'th term of -18, -32, -44, -54, -62, -68, -72? j**2 - 17*j - 2 What is the r'th term of -2981, -2985, -2989? -4*r - 2977 What is the i'th term of -6, 32, 166, 444, 914, 1624, 2622, 3956? 8*i**3 - 18*i + 4 What is the o'th term of -232, -239, -246, -253, -260? -7*o - 225 What is the l'th term of 65, 131, 199, 269, 341, 415? l**2 + 63*l + 1 What is the n'th term of 20, 33, 46? 13*n + 7 What is the w'th term of -16, -34, -56, -76, -88, -86? w**3 - 8*w**2 - w - 8 What is the o'th term of -2131, -2132, -2133, -2134? -o - 2130 What is the s'th term of 11, 13, 21, 35, 55, 81, 113? 3*s**2 - 7*s + 15 What is the d'th term of 219, 217, 215? -2*d + 221 What is the p'th term of -7, -12, -13, -10, -3, 8? 2*p**2 - 11*p + 2 What is the b'th term of -12, -65, -190, -417, -776, -1297, -2010, -2945? -5*b**3 - 6*b**2 - 1 What is the w'th term of 10, 75, 202, 421, 762? 5*w**3 + w**2 + 27*w - 23 What is the t'th term of 13, 50, 109, 190, 293, 418? 11*t**2 + 4*t - 2 What is the l'th term of 23, 17, 13, 11, 11, 13, 17? l**2 - 9*l + 31 What is the g'th term of -443, -867, -1293, -1721? -g**2 - 421*g - 21 What is the a'th term of -22, -144, -480, -1138, -2226, -3852, -6124? -18*a**3 + a**2 + a - 6 What is the f'th term of -54, -105, -154, -201, -246? f**2 - 54*f - 1 What is the d'th term of 246, 491, 736, 981, 1226, 1471? 245*d + 1 What is the y'th term of 752, 745, 726, 689, 628, 537, 410? -y**3 + 753 What is the c'th term of -195, -190, -181, -168? 2*c**2 - c - 196 What is the z'th term of 358, 372, 404, 460, 546, 668, 832? z**3 + 3*z**2 - 2*z + 356 What is the d'th term of 1, 12, 39, 88, 165? d**3 + 2*d**2 - 2*d What is the f'th term of 10, 12, 2, -32, -102, -220, -398, -648? -2*f**3 + 6*f**2 - 2*f + 8 What is the q'th term of 3924, 3921, 3916, 3909, 3900, 3889, 3876? -q**2 + 3925 What is the d'th term of -96, -239, -414, -615, -836, -1071, -1314, -1559? d**3 - 22*d**2 - 84*d + 9 What is the p'th term of -10, -31, -66, -121, -202? -p**3 - p**2 - 11*p + 3 What is the i'th term of 1385, 1374, 1357, 1334? -3*i**2 - 2*i + 1390 What is the p'th term of -57, -84, -161, -312, -561, -932, -1449? -4*p**3 - p**2 + 4*p - 56 What is the h'th term of 20, 35, 50, 65, 80? 15*h + 5 What is the o'th term of -191, -387, -585, -785, -987, -1191? -o**2 - 193*o + 3 What is the f'th term of -166, -176, -186, -196? -10*f - 156 What is the y'th term of -2491, -4940, -7375, -9790, -12179, -14536? y**3 + y**2 - 2459*y - 34 What is the l'th term of 3, 35, 89, 165, 263, 383, 525? 11*l**2 - l - 7 What is the j'th term of -22, 141, 582, 1439, 2850? 23*j**3 + j**2 - j - 45 What is the s'th term of 24, 29, 38, 51, 68, 89? 2*s**2 - s + 23 What is the x'th term of 33, 66, 99, 132? 33*x What is the d'th term of -191, -199, -207, -215? -8*d - 183 What is the t'th term of 946, 944, 940, 934? -t**2 + t + 946 What is the h'th term of 1177, 1179, 1183, 1189, 1197, 1207, 1219? h**2 - h + 1177 What is the b'th term of -57, -84, -129, -192, -273, -372, -489? -9*b**2 - 48 What is the d'th term of 3, 14, 47, 114, 227, 398, 639, 962? 2*d**3 - d**2 + 2 What is the m'th term of 7, 270, 1027, 2524, 5007? 41*m**3 + m**2 - 27*m - 8 What is the q'th term of -58, -62, -76, -106, -158, -238, -352, -506? -q**3 + q**2 - 58 What is the w'th term of -297, -296, -295? w - 298 What is the s'th term of -417, -835, -1253, -1671, -2089, -2507? -418*s + 1 What is the h'th term of 85, 234, 383, 532, 681, 830? 149*h - 64 What is the r'th term of 8, 74, 190, 356, 572? 25*r**2 - 9*r - 8 What is the v'th term of -170, -725, -1650, -2945, -4610, -6645? -185*v**2 + 15 What is the l'th term of 4, 17, 32, 43, 44, 29, -8, -73? -l**3 + 7*l**2 - l - 1 What is the o'th term of 58, 55, 52, 49? -3*o + 61 What is the a'th term of 7, 11, 9, 1, -13, -33, -59? -3*a**2 + 13*a - 3 What is the m'th term of 2, -2, -12, -28, -50, -78, -112? -3*m**2 + 5*m What is the g'th
{ "pile_set_name": "DM Mathematics" }
- 4*h - 11, -d*h = 4*l + 13 for l. 3 Let w(h) = h**3 + 7*h**2 - 7*h + 5. Let v be w(-8). Let l be (-33)/12*(v + -1). Solve 6*a - q = 3*a + 5, l = 5*a - q for a. 3 Suppose -4*c = 17 + 15. Let t = c + 6. Let b be (2 - 0) + 2 + t. Solve -5*d - 20 = -5*x, -8*d = b*x - 4*d - 2 for x. 3 Let n be ((-11)/(-22))/(1/2). Suppose -n = 4*t - u, 3*u - 3 = -0. Solve 2*q + 3*l = 19, t = 2*q - 0*q - 4*l + 2 for q. 5 Let h(o) = -21*o**3 + 1. Let s be h(-1). Suppose -s = -4*g + 2*r, 0*r + 10 = g - 5*r. Solve -5*y - 3 = -5*v - 28, -4*y + g*v = -21 for y. 4 Suppose 0*p - 5*p + 10 = 0, -x + 4*p - 8 = 0. Suppose -5*n + x*n = -10. Solve 0 = -3*b + 3, n*b - 27 = -5*o - 5 for o. 4 Let g(o) = -2*o**2 - 12*o + 6. Let b be g(-6). Solve -5*y - 4*x - 6 = 0, 3*x = y - x + b for y. -2 Let o(y) = 4*y + 27. Let f be o(-6). Solve 12 = -3*g + f*p, -2*p - 2*p = -5*g - 17 for g. -1 Suppose 0 = -15*h + 18*h - 12. Solve -h*t + l = -4, t = -l - l + 1 for t. 1 Let i be 5*(36/(-15))/(-2). Let t be 0*((-3)/i + 0). Let d(a) = a**2 + 7. Let c be d(t). Solve -2*q = 4*z + 30, 4*z + c*q + 35 = 4*q for z. -5 Let s be (42/(-35))/((-6)/(-20)). Let v(a) = -3*a + a**2 + 6*a + a. Let j be v(s). Solve -w + 1 = -2*z - 0*w, j = 2*z - 3*w + 7 for z. 1 Let r be (2 + 5/(-2))*0. Let w = r + 2. Let c be (0 - 0)/(-4 + w). Solve 5*l - 5*p = 10, -2 = -c*l - 4*l + p for l. 0 Let f be (0 - 0/1)/(-2). Let r = -25 + 27. Let w = f + r. Solve 19 = -3*k - 4*j, w*k - 7*j = -3*j + 14 for k. -1 Suppose 5*c + 18 = b - 3, 3*c + 101 = 4*b. Solve -b = -4*z + 3*g, 5*z + 7*g - 2*g = 15 for z. 5 Suppose 4*i = -4*w - 8, 2*w + 10 = 3*i + i. Solve 0 = -s + 3*p + i, -p - 1 + 0 = 0 for s. -2 Let z be (-16)/(-6) + 2/6. Solve -v - z*p = 2*v, v = -3*p - 8 for v. 4 Let f be 1/((-3)/((-9)/3)). Suppose -5*d + 11 - f = 0. Solve -2*o = 2*z - o + 1, 3*z + 5*o - d = 0 for z. -1 Let u be (-2)/((-8)/54) + (-8)/16. Solve -2*z - 7*d - u = -2*d, 0 = -4*z - 4*d - 8 for z. 1 Let x be 8/((-8)/(4 + -8)). Solve j + j = -2*i - 4, x*i + 1 = 3*j for j. -1 Suppose -3*b - 5*p = -b - 32, 16 = b + 4*p. Solve b = -3*n + 3*c - 8, -c - 2 = n for n. -5 Let m be (4 + 21/(-14))*8/10. Solve -4*j - 5*u + 6 = -6, -m*j + 3*u = -6 for j. 3 Suppose 0 = -j - 3 - 4. Let i(d) = d**3 + 8*d**2 + 3*d - 3. Let r be i(j). Solve -2*h - 10 = -7*h + 2*c, 5*h = -5*c - r for h. 0 Let o be 1/(15/(-9) + 2). Let l be 2 + 2*(-111)/6. Let c = l - -63. Solve -o*q - c = 5*f, 4*f - 3*q + 12 = -5 for f. -5 Let s be (-315)/(-18) + 1/2. Solve 0 = -5*m + j + 3*j - 11, 5*j - s = 2*m for m. 1 Suppose -2*l = -0*p + 4*p - 18, -3*p + 12 = 3*l. Suppose 3*x - 5 = -4*y + 1, -p*y + 13 = x. Solve 2*b = -5*q + 29, -5 = 6*b - b - y*q for b. 2 Suppose 0 = -4*o + 8*o - 12. Suppose -52 = -5*c - 17. Solve 4*h + c = -o*z, -4*z - 3 = 4*h - 5*z for h. -1 Let l be 38/4 - 2/4. Solve 5*b + 5*c = 25, 5*b - 4*c - 7 = l for b. 4 Suppose 4*l = -3*o + 25, 0 = o + l + 2*l - 15. Solve -3*r + 4*n + 19 = 0, -4*n = -r + o*r + 14 for r. 1 Let z = -15 + 18. Let a(w) = w + 1. Let i be a(z). Solve 2*o + 29 = -3*o - 4*u, -i*o - 4*u - 24 = 0 for o. -5 Suppose 36 = -i - 15. Let w = -30 - i. Suppose 4*l = 3*z + w, -2*l - z = 2*z + 3. Solve -5*c - 19 = -l*v, 6*c + 2*v = 3*c for c. -2 Let r(x) = -x**3 + 0 + 3 - 2. Let z be r(-2). Solve v - z = 4*v + 3*s, -s - 13 = -4*v for v. 2 Let s(f) = -f**2 - 14*f + 2. Let v be s(-13). Suppose -z = -6*z + v. Solve 0 = 3*c + 4*q + 3, 4*c - c + 2*q = -z for c. -1 Let b be (-37)/(-3) + 5/(-15). Let t be b/60 - (-19)/5. Solve t*o - 4*j = 16, -2*j + 0*j = 2*o - 4 for o. 3 Let o = 8 + -3. Suppose -2*c = -5*l + 116, 0 = o*l - 0*l - 3*c - 114. Let k = 46 - l. Solve -3*s = 2*m + k, 3 = -2*m + s - 3 for m. -5 Let b = -42 - -42. Solve 0 = 5*p + 20, b = -2*r - 3*p - 4 - 6 for r. 1 Suppose -u = 3, -5*a - 24 = -2*a - 2*u. Let c be (a/4)/((-6)/12). Solve -l + 1 = b + 4, c = -3*b - 2*l for b. 1 Suppose -c = -0*c. Solve -4*r = -4*n - c*r + 8, 3*n - 4*r = 8 for n. 0 Let s(j) = 14*j**3 - 38*j**2 - 23. Let b(h) = 5*h**3 - 13*h**2 - 8. Let g(w) = 11*b(w) - 4*s(w). Let f be g(9). Solve -5*k + 5 = 0, 4*r - 3*k = 5*r - f for r. 1 Let z(b) = -b**3 - b**2 - 2*b - 4. Let o be z(-2). Solve 0 = o*s + q + 7, -5*s + 4 = -6*q + 3*q for s. -1 Suppose -3*o + 6 = -o, 0 = z - 3*o + 6. Solve 0 = y + z, y + 0*y = r - 5 for r. 2 Let m(k) = -2*k**2 - 17*k + 5. Let g(q) = -q**2 - 8*q + 3. Let s(p) = -5*g(p) + 2*m(p). Let w be s(-7). Solve 3*x + o = 4*x + 4, -w*o + 20 = -5*x for x. -4 Suppose 2*r = 3*j + 2*j - 55, -5*j = -5*r - 40. Solve 2*t = t + 3*y + 3, 5*t - y + j = 0 for t. -3 Let t(y) = y**2 - 3*y + 1. Let v be t(3). Suppose 0 = -2*u + u + v. Solve -5*i + 5*d = 4 + u, -2*i = -d - 1 for i. 2 Let k be -8 + 14 + -1*3. Suppose -65 = -5*w - 0*w + k*t, -2*t + 40 = 5*w. Let n be 20/6*(-6)/(-5). Solve 0 = 5*u + 20, -r - 2*r - n*u = w for r. 2 Let r = -5 + 9. Suppose -d + 1 + 0 = 0, -4*d + 4 = -r*z. Solve 4*j + 3*v + 12 = z, 3*j + 2*v = -5 - 4 for j. -3 Let k(o) = -5*o**2 + o. Let u be k(-1). Let s(y) = -3*y - 15. Let b be s(u). Solve -3*c + 6*c = b*l, 4 = 2*l - 3*c for l. -4 Suppose -2 = -d - 0. Solve -d*o + 1 - 5 = w, 2*w = -2*o - 4 for w. 0 Let r(i) = i + 10. Let o be r(-5). Solve 2*l = 8, 0 = 2*w + 4*l - o - 15 for w. 2 Suppose 12 = 5*v - 3. Let q(g) = g**v + 14 - 14 + 3*g**2 + g. Let a be q(-2). Solve -3*s + 6 = r, a*s = s - 3*r - 6 for s. 3 Let z be 3 - ((-8)/4 - 0). Solve -5 = -5*n - 4*j, z*j + 2 = 3*n - n for n. 1 Suppose -4*p + h + 12 = 3*h, -h + 3 = p. Solve c - 9 = 5*y + 1, 3*y + 6 = -p*c for y. -2 Let b(o) = -o**2 + 2*o + 3. Let p be b(4). Let g = p + 9. Suppose -4*s - 2 = 5*a, 2*s + 1 - 3 = -a. Solve -f - 3*c = -s*f - 11, 0 = -g*f - 2*c - 16 for f. -5 Suppose 5*x + 2*r - 53 - 6 = 0, -2*x = -3*r - 16. Let f = 16 - x. Solve -10 = -f*l, 3*u - l + 17 = -0*u for u. -5 Let p be (-6)/(6/(-2)) + -2. Suppose 4*b + 3*q = -4, p*b + 16 = 2*b - 3*q. Solve 3*s - 5*v - 30 = -b*v, 0 = s + v for s. 5 Suppose -15 = z + 5*g, -4 = z + 3*g + 5. Suppose 5*a = 2*d - 52, 2*d = -z*d - 4*a + 34. Solve 2*i = m - 2*m - 13, -i = -5*m - d for m. -5 Suppose -8 = -2*v + 2. Solve -v*x - n - n = 13, 4*x = n - 13 for x. -3 Let l = 2 - 3. Suppose f = -0*f + 3. Let q be f/(21/12 + l). Solve q*g + b - 15 = 0, g = 5*b - 3*b + 6 for g. 4 Let i(d) = -5*d - 1. Suppose -3*w = 3 + 3. Let y be i(w). Let g(m) = -m + 13. Let s be g(y). Solve -5*b - 29 + 3 = 4*c, 0 = s*c + 2*b + 20 for c. -4 Let g be 80/(-24)*36/5. Let h = 30 + g. Solve 2 - h = 2*t + 3*w, 0 = -w + 2 for t. -5 Suppose 13 = 5*f - 3*k, f + 3*f + 2*k = 6. Let p = f + 2. Solve -o = -4*s - 3*o - 10, -p*s + 4*o = 28 for s. -4 Suppose -4*s + 10 = -3*i, -2*i = -0*i - 4. Suppose -s*k + 11 = -1. Let d be (6/(-4))/(k/(-4)). Solve 3*o + 11 = 2*n, 5*n - 19 = o - d*o for o. -1 Let q be (-1)/(1/(-4)*1). Suppose 0 = 2*b - 4*b + 6. Let p be (b/2)/(2/q). Solve -p*d = d + 12, 3*f = 2*d + 15 for f. 3 Let a be 2 - 0*(-2 + 3/2). Solve -3*i = r + 15, 5*r - 2 = a*i + 8 for r. 0 Let p be 2*11*(-5)/(-10). Solve -4*o = -v + 1 - p, -2*v = 4 for o. 2 Suppose -4*p = w + 17, 5 = 5*w + 3*p - p. Suppose -9 = -4*d + w. Solve 5*s = 4*c - 6, 2*c + s + 7 = -d*c for c. -1 Let w(z) = 13*z**3 + z + 1. Let y be w(-1). Let a = -7 - y. Solve 0 = k + h + h + a, 5*k - 15 = -h for k. 4 Suppose -s + 27 = -5*o, 3*s - 12 = 2*s + 2*o. Suppose 4*i = -20, 3*t - 35 + 9 = 4*i. Solve 0 = 3*y - 3*b + s - 17, -t*y + 2 = 2*b for y. 3 Let j(t) = 14*t**3 + t**2. Let g be j(1). Solve 2*v + 0*v - 33 = -5*r, 0 = -3*r + g for v. 4 Let x(w) be the second derivative of -w**3/6 - 2*w**2 + 4*w. Let n be x(-8). Solve -20 = -p - n*s, 5*p - 4 = p + 3*s for p. 4 Let x = -33 - -18. Let a = -9 - x. Suppose 2*i = a*i - 16. Solve -2*y - 4*n = i, 0 = -y + 4*n - 10 + 2 for y. -4 Let p = 6 - 3. Suppose -3*w - 6*u + 18 = -p*u, 5*u = w + 6. Let i be 32/(-48) - 11/(-3). Solve -i*f + 15 = -w*k, 0 = -2*k + f + f - 10 for k. 0 Let r(i) = 3*i - 3. Let m be r(2). Suppose 2*u + 5*t = 0, 0 = u + 4*u - m*t. Solve 3 = -u*f - 3*f, -5*f = 2*s - 3 for s. 4 Let s be (6/(-4))/(1/(-2)). Suppose 53*d - 10 = 51*d. Suppose 2*b - d = -5*g - s*b, 3*g = -5*b + 1. Solve -g*c + 2*j = -14, -2*c - 3*j = 16 - 5 for c. 2 Let y = -41 - -44. Solve j + y*j - 5*i = 2, 4 = -4*j + 2*i for j. -2 Suppose -30 = -2*l - 3*l. Suppose 5*f = -3*h + 4, 0*f + 5 = 2*h + f. Let c be (h - (0 - -2)) + l. Solve -4*v - 4*b = v - c,
{ "pile_set_name": "DM Mathematics" }
*x + z = 78. What are the prime factors of x? 37 Suppose -2*w = 3*w - 470. Let u = 131 - w. List the prime factors of u. 37 What are the prime factors of 1 - (-1844)/22 - 46/(-253)? 5, 17 Let m = 10 + 11. Suppose -5*j = -2*n + 30, -j = 5*n - n - 16. Suppose -n = 4*f - m. What are the prime factors of f? 2 Let w = 79 - 38. What are the prime factors of w? 41 Suppose -a - 30 = 4*a. Let d be 10/3 - (-2)/a. Suppose 0*j - j = -d*c + 21, c - 2*j = 7. What are the prime factors of c? 7 Let c be (-24)/18*(-3)/2. Let a be 7/4 - 2/(-8). Suppose c*r = 3*d - 14, -6 = -4*r + a. List the prime factors of d. 2, 3 Let j = -37 - -9. Let b = -15 - j. List the prime factors of b. 13 Let j(v) = v**3 + 4*v**2 + 2*v - 1. Let t be j(-3). Suppose t + 3 = -c. Let k = 1 - c. List the prime factors of k. 2, 3 Let f = 96 - 43. What are the prime factors of f? 53 Let l(b) = 3*b**3 + 31*b**2 - 14*b + 7. What are the prime factors of l(-10)? 13, 19 Let t = 28 - -9. List the prime factors of t. 37 Suppose -2*y = -70 - 8. Suppose 2*h = 2*q - 2*h - 44, -y = -2*q - h. Let n = q + -14. What are the prime factors of n? 2, 3 Let d(b) = -19*b - 53. List the prime factors of d(-14). 3, 71 Suppose 51 = 5*r + 446. List the prime factors of r/(-9) - 2/(-9). 3 Let y(s) = 0*s + 2*s**3 - 3*s**3 + 5*s - 5*s**2 - 8. Let g be y(-6). What are the prime factors of (-1)/g + 33/6? 2, 3 Let z(h) = h**2 - 9*h - 6. Let t be z(9). Let r be t/8*4/1. List the prime factors of 8 + (6/r)/2. 7 Suppose 4*y + 6 = 2*r + 3*y, 2*r + 5*y = -18. Let u(f) = 21*f. What are the prime factors of u(r)? 3, 7 Suppose 3*m - 4*t = 417, 3*m + 2*t - 19 - 380 = 0. Suppose 5*u - 4*a - m = 0, u + 44 = 4*u + 5*a. What are the prime factors of u? 23 Let y = -293 - -758. Let q = -7 + 16. What are the prime factors of (-2)/q + y/27? 17 Let s(u) = 0*u + 0*u - 2*u - 4 - u**2. Let c be s(-5). Let i = c - -29. What are the prime factors of i? 2, 5 Suppose 13*o - 9*o = 140. List the prime factors of o. 5, 7 Suppose 12*u - 4*u = 208. What are the prime factors of u? 2, 13 Let w be ((-4)/6)/(2/24). Let z = w - -5. Let k = z + 8. List the prime factors of k. 5 Let n(k) be the third derivative of k**4/24 + 11*k**3/6 - k**2. Let h be n(-9). Suppose 24 = 2*s + h*s. What are the prime factors of s? 2, 3 Let w = -6 + 14. Suppose -3*g = 5*z - w, z = 5*g + 4*z - 24. What are the prime factors of g? 2, 3 Let i(u) = u**3 + 6*u + 5. Let m(s) = 3*s**3 + s**2 + 17*s + 14. Let b(o) = 11*i(o) - 4*m(o). What are the prime factors of b(-5)? 2, 17 Suppose -2*y = 8, 2*y + 138 = 3*x + 5*y. Let a = -21 + x. List the prime factors of a. 29 Let w(p) be the third derivative of p**4/2 + p**2. Let j be 4/(-22) + 39/33. What are the prime factors of w(j)? 2, 3 Let l be 6/21 - 248/(-14). List the prime factors of (l/(-4) - -1)*-4. 2, 7 Let g(j) be the second derivative of -j**3/3 - 2*j. Let s be g(1). Let y(u) = 3*u**2 + 3*u + 2. What are the prime factors of y(s)? 2 Suppose 0 = -3*m + 7 - 1. Let x(w) = -3*w - 1 - m + 0*w. List the prime factors of x(-2). 3 Let n(h) = -h - 1. Let w be n(-3). Suppose -p = 2*p - 3, 2*q + w*p - 10 = 0. List the prime factors of q. 2 Suppose 0 = 6*l - 2*l - 136. What are the prime factors of l? 2, 17 Let q(k) be the first derivative of k**4/4 + 7*k**3/3 + 4*k**2 + 4*k - 2. What are the prime factors of q(-5)? 2, 7 Suppose -8*q + 11*q - 2*n - 868 = 0, 4*n = -8. What are the prime factors of q? 2, 3 Suppose -2*y + 10 = 3*y. Suppose -4 = -k - y. List the prime factors of k. 2 Let a = 138 - 67. List the prime factors of a. 71 Suppose -4*t + 248 = -0*t. What are the prime factors of t? 2, 31 Let k be (2 + 0)/(-1 + 2). Suppose -k*y + 21 = -y. Suppose -3*s + y = -3. List the prime factors of s. 2 What are the prime factors of 318/9*(-5 - (-50)/4)? 5, 53 Suppose 7*c - 3*c = z + 26, -2*z + 14 = 3*c. List the prime factors of 7 - (c/3 + -4). 3 Let d(p) be the third derivative of -19*p**4/24 - p**3/6 - 11*p**2. What are the prime factors of d(-1)? 2, 3 Suppose -16 = -4*f, -v = -2*f - 0*f + 3. Let l(x) = x - 3. Let p be l(3). Suppose v*i - 4*u + 19 - 56 = p, -5*i - u = -22. List the prime factors of i. 5 Suppose -20 = 3*i + s - 7, -3*s = -i - 1. Let f = 2 - 4. Let y = f - i. What are the prime factors of y? 2 Suppose 5881 = 19*c + 1264. What are the prime factors of c? 3 Suppose -3*x + 0*x - 210 = 0. List the prime factors of x/(-5)*1/1. 2, 7 Let q(l) be the third derivative of 31*l**5/60 - l**4/24 + l**3/6 - l**2. List the prime factors of q(1). 31 Let q(s) = -s + 2. Let m be q(10). List the prime factors of ((-3)/1)/(2/m). 2, 3 Suppose 2*g = 1 + 7. Suppose -24 = -g*i + 12. What are the prime factors of i? 3 Let w be ((-4)/(-3))/((-1)/(-15)). What are the prime factors of ((-12)/(-15))/(2/w)? 2 Let o be 2/10 + (-202)/10. Let q = o - -55. What are the prime factors of 2/(-6)*(2 - q)? 11 Let z = 18 - 16. What are the prime factors of (99/6 - -2)*z? 37 Let x(y) be the third derivative of -5/24*y**4 + 1/120*y**6 - 2*y**2 + 0 + 5/6*y**3 + 0*y - 1/10*y**5. What are the prime factors of x(7)? 19 Suppose 4*n + r = -58 + 245, 3*n = -r + 141. Suppose 2*k + n = s + 3*k, -3*k - 108 = -3*s. List the prime factors of s. 41 Suppose 0*l - l + 6 = 0. Suppose 2*n = l*n - 68. List the prime factors of n. 17 Let v(s) be the first derivative of s**7/840 - s**6/120 + s**5/30 + s**3 - 1. Let i(z) be the third derivative of v(z). List the prime factors of i(3). 2, 3 Suppose 0 = 3*t - c + 4, 0*t + 5*t = 3*c - 4. Let k = 4 - t. Let d = 3 + k. What are the prime factors of d? 3 Suppose -3*t - 3 = 0, -b + 345 = 2*t + 98. List the prime factors of b. 3, 83 Suppose -3 - 3 = -2*p. Suppose -p*l + 0*s = 2*s - 10, -5*s = -5*l. List the prime factors of l. 2 Suppose -4*t + 11 = -9. Suppose 5*f - 47 = -t*w + 63, w = 4*f + 12. What are the prime factors of w? 2, 5 Let d = 212 - 143. Suppose 4*l + v - 63 = 0, -4*l + 6*v - v + d = 0. List the prime factors of l. 2 Let g be (2/(-4)*2)/1. Let r be g/1 + 2 - -13. Suppose c - r = 8. What are the prime factors of c? 2, 11 Let b(l) = 10*l**3 + 2*l**2 + 2*l. What are the prime factors of b(2)? 2, 23 Suppose -2*t - 3*t = 30. Let d be (8/10)/(t/(-15)). Suppose 3*y = -d*y + 30. List the prime factors of y. 2, 3 Let p = -12 - -45. What are the prime factors of p? 3, 11 Let x(f) = f**3 - 4*f**2 + 4. Let w be x(4). Suppose -122 = -w*m - 10. List the prime factors of m. 2, 7 Let h be 0 + 11 + 0/1. Let g = 19 - h. List the prime factors of g. 2 Suppose 602 = 3*p - 199. List the prime factors of p. 3, 89 Let y(v) = -v - 1. Let l(f) = -2*f - 2. Let o(j) = 6*l(j) - 13*y(j). List the prime factors of o(11). 2, 3 Suppose 3*r - 8*r = 0. Suppose 3*j - j = -2*a + 4, r = -5*a + j + 40. What are the prime factors of a? 7 Let c be 1 - 2*(-1)/(-2). Let d be (3 + 5)/(-1 + c). Let w(b) = b**2 + 7*b + 9. List the prime factors of w(d). 17 Suppose 715 = 2*x + 3*x. Suppose -4*j + 17 + x = 0. What are the prime factors of j? 2, 5 Let v(h) = h**3 - 3*h**2 + 3*h - 2. Let x = 1 + -1. Suppose 4*i + 4*n = 0, -3*n + 0*n - 9 = x. List the prime factors of v(i). 7 Let k = -92 + 146. Suppose 4*t + k = 2*b, 2*t + t = -b + 37. List the prime factors of b. 31 Let g be (-12)/(-54) + (-16)/(-9). Suppose -g*p + 45 = -35. List the prime factors of p. 2, 5 Let z(u) = -5 + 2*u - 3 + 2. List the prime factors of z(7). 2 What are the prime factors of -125*-3*8/60? 2, 5 Suppose b - 4*b = -90. What are the prime factors of b? 2, 3, 5 Suppose -3*j + 3*x = -8*j + 195, -2*x = 10. What are the prime factors of j? 2, 3, 7 Let n(f) = 60*f - 3. List the prime factors of n(3). 3, 59 Suppose -69 + 1581 = 9*s. What are the prime factors of s? 2, 3, 7 Let h = -40 - -48. What are the prime factors of h? 2 Let a(k) be the third derivative of -k**6/120 - k**5/60 + k**4/24 + 11*k**3/3 + 2*k**2. List the prime factors of a(0). 2, 11 Let i = 1 - 3. Let c = 2 + i. Suppose 6 = -3*k - n + 46, -n - 5 = c. List the prime factors of k. 3, 5 Let b(n) = 3*n**2 + 5*n - 1 - n**2 - 2*n**2 - n**2. Let h be b(5). What are the prime factors of h/(-6)*4*3? 2 Let u be -2 - (14 + (-2 - -1)). What are the prime factors of (5/u)/((-1)/39)? 13 Let k(b) = 9*b**2 - b + 1. Suppose 0*n - 4*n = -4. Let a be k(n). Let u(y) = -y**2 + 11*y - 4. List the prime factors of u(a). 2, 7 Suppose 4*g = 4*f + g + 3, -4*f + 27 = 3*g. L
{ "pile_set_name": "DM Mathematics" }
379 - -2.821. Which is greater: q or -0.06? q Suppose 6*p - 20 = p, -5*x - 3*p = 3. Let t(c) = -9*c + 15. Let b be t(2). Let u be (-4 - b)*(-2)/6. Is u > x? True Let t be 2/(-16)*((-59552)/20)/(-2). Let f = t - -387/2. Let s be (1 + -17)*9/(-18). Which is smaller: s or f? f Let t be (-111660)/(-126) - 108/81. Which is smaller: t or 885? t Let l = -50.08 - -1.08. Let x = l + 47. Let h = 1 + x. Are 2/3 and h equal? False Let d be (155/(-163735))/(1/12). Let v = 1/143 + d. Let p = 9613/1145 - v. Which is smaller: 7 or p? 7 Let c(m) = -346*m + 2783. Let k be c(8). Let t(r) = -3*r + 12. Let a be t(0). Is k at least as big as a? True Let d = 3/6775 - 15041/3367175. Is d at most 1? True Let p(t) = -121*t + 5. Let c be p(1). Let u be 12*(-6)/(-40635)*13632/c. Let o = -2/1505 - u. Is -1 less than o? True Let d(t) = 2*t**3 - 19*t**2 - 13*t + 72. Let s be d(8). Which is smaller: -228 or s? -228 Let y = -0.439 + 0.639. Which is greater: y or 0.946? 0.946 Let r = 78590 - 6365413/81. Let x = 1/81 + r. Is -6 less than or equal to x? True Suppose -81 = 7*q + 17. Let c be (-16)/112 - (-166)/q. Which is bigger: -13 or c? c Let y = 11 + 9. Let t be (12/24)/((-1)/y). Let i(l) = l**3 + 12*l**2 + 22*l + 8. Let j be i(t). Do -3 and j have different values? True Let o be (37/30 - (-54)/540)*6/(-4). Is o < -0.03858? True Let f(l) = -3*l**3 - 4*l**2 - 510*l - 4190. Let m be f(-8). Which is smaller: m or 1151? 1151 Let q be 110 + 0/(-2) + 4. Suppose -10 + q = -4*k. Let t be (-334)/k + (-4)/(-26). Which is smaller: 12 or t? 12 Let o(x) = -9*x + 39. Let m be o(4). Let v be m/(-39)*(-4 - (-70)/15). Let g(f) = -f**2 - 2*f - 1. Let j be g(-1). Is v equal to j? False Let h = -1.27 - 147.73. Let v = h - -150. Let s = -6.9 + 7. Is v bigger than s? True Let x(v) = -4*v**2 + 106*v + 55. Let c be x(27). Is 23 >= c? True Let p be 112/(-756)*18 + (-11)/(-3). Let s = -3 - -3.1. Is p bigger than s? True Let s = 11.269 + -11.669. Which is smaller: s or 39/16? s Let p be (-3)/6 - (-694)/4. Let a(u) = u**2 - 79*u - 816. Let h be a(-11). Which is greater: h or p? h Let z = 25 - 22. Suppose z*p = 3*v - 21, -27 + 5 = -2*v + 4*p. Suppose 5*i + x - 1 = 0, 2*x - v*x - 3 = i. Is 1/59 bigger than i? False Let a = -11 - -13. Suppose a*p + 14 = -t, -3*t - p = -4*t + 1. Is -17/5 greater than t? True Let a be (1 - (-72)/(-74))/(-1). Let i be (2/(-2 - 12))/(88/28 - 3). Which is smaller: i or a? i Suppose -5*o - 2 = 4*c - 42, 5*o - 55 = -c. Suppose -4*m + 0 = -o. Suppose -4*v + m*v - 26 = 5*q, 5*q + 23 = 2*v. Is v not equal to -9/5? True Suppose -l + 2*v = -182, 4 = -5*v - 16. Let p be (l/(-25) - -2)/(10/25). Suppose 2*s + s + 5*o + 43 = 0, 4*s + 3*o = -50. Which is smaller: s or p? p Let s = 23587/858 - -4/429. Let k = 28 - s. Let f = 4.8 - -1.2. Is k greater than f? False Let d be 2/(-5)*25/(-4)*-114 - -6. Which is bigger: -281 or d? d Let h be (-14 + 18)*(146/(-8) - 0). Let a = h + 56. Suppose 34 = -0*l - 2*l. Is a at least as big as l? True Let b(j) = -5*j**3 - 159*j**2 + 38*j - 2. Let m be b(-33). Are m and 5278 equal? True Let u(r) = r + 70 - 138 + 41 + 73. Let b be u(-53). Let k be (-10)/6*(-56)/(-12). Which is smaller: b or k? k Suppose -3*o + 4*l - 25 + 26 = 0, 4 = -4*l. Is o < -73/100? True Let b = 33.835 - 34. Let o = -0.025 + b. Let w = -0.09 - o. Is 1 greater than or equal to w? True Let u = 23 + -19. Suppose 2*c + 72 = 6*c + u*q, -86 = -4*c + 3*q. Suppose -5*b - 3*o + c = 0, b - 2*o = -0*o - 9. Is b <= -0.4? False Let d = -4504 - -544988/121. Which is smaller: -1 or d? -1 Let x be 10/3*((9 - 6) + 3). Do x and -12 have the same value? False Let s be 724/(-5068) - (-1290)/14. Is 146 greater than s? True Suppose -49*q = -25552 + 6197. Which is bigger: -16 or q? q Let v(y) = 3*y**2 + 31*y - 43. Let j(w) = -w + 2. Let k(c) = 5*j(c) + v(c). Let p be k(-10). Is p smaller than -29? False Suppose -23*q + 1192 = -1223. Which is greater: 98 or q? q Let c(n) = -2*n - 2. Let s(z) = z**3 + z**2 + 4. Let v be s(0). Suppose 3*t + 5*r = -8, -5*r + 0*r - v = -t. Let h be c(t). Is h greater than -21? True Let b be 0 + (0/(-2))/(-38 - -30). Is -1/39025 smaller than b? True Suppose 2 = b - 4. Suppose 0 = -23*c - 261 + 629. Which is bigger: c or b? c Let b be (((-4)/(-6))/2)/((-11)/(-198)). Let c be (0/(-1))/(49/(-7) + b). Let y = 4013/17 + -236. Which is bigger: c or y? y Let k = -92 + 90. Let j be 10 - 8 - (k - -1). Suppose -157 = -j*r - 49. Which is smaller: r or 38? r Suppose 0 = 5*d + 4*a - 149, 0 = -5*d + 5*a - 10 + 150. Suppose -d*m = 4*m + 7854. Is -238 <= m? True Let n(d) = d - 13. Let h be n(11). Let t be 3 - (2/2 - h). Let c be t + 1 + ((-1)/(-3))/(-1). Which is bigger: 7 or c? 7 Suppose -a + 54 = -0*a + 3*n, 51 = a + 2*n. Let u be (-4 - 3684/(-66)) + 4/22. Suppose u*s - 45*s = 308. Which is bigger: s or a? a Suppose -28 = 111*p - 118*p. Suppose 2*y + 19 = -2*f - 539, 1119 = -p*y - f. Which is bigger: y or -279? -279 Let z be ((-2)/(-4))/(702/(-180)). Let r = 5 + -5. Is r greater than or equal to z? True Let s = -135 - -93. Let d = 3061 + -3062. Which is smaller: s or d? s Let v = 89 + -91. Let l(p) = -14*p + 8. Let k be l(v). Which is bigger: k or 34? k Let w = -378 + 376. Let k be ((-3)/w)/((-93060)/240). Do k and -1 have different values? True Let i(j) = -10*j**2 - 53*j - 12. Let t be i(-5). Suppose 2*u - t*h = 0, -5*u = -7*h + 11*h. Is 27/22 greater than u? True Let a = 2 + -3. Let i(q) = q**3 - 7*q**2 - q - 40. Let m be i(8). Let h be (-4)/6*((-2046)/128 + m). Is a at least h? False Suppose 5*p = 4*s - 235, 0 = -3*s - 50*p + 54*p + 178. Suppose -y + 3*k + k + 52 = 0, 2*y - 104 = -2*k. Is s > y? False Suppose 4*z + 42*z + 4*z - 61750 = 0. Is z < 1229? False Let n be 404/44 - (14 + -5). Which is smaller: n or 1.3? n Let d = 0.47 + -16.47. Suppose -6*h + 4*h = 5*x + 18, -3*h = -3*x + 6. Let n be (5 - 2) + (-174)/(-108)*x. Which is smaller: d or n? d Suppose -3*p - 55 = -14*p. Let j be (-2)/p - (-2)/5. Let h be (-53)/28 + 5 + -3. Is h greater than or equal to j? True Let g = 1.3 + -18.4. Let k = -0.9 + g. Let z = k - -15. Is z at most -16? False Suppose 5*u - 10 = 10. Suppose 4*c + 2*q + 2 = 0, q + u*q + 5 = 2*c. Let n = -30484 - -30485. Is c greater than n? False Let b = 1871 - 2991. Is -1120 > b? False Let d = 74/7 - 4944/469. Let z = 795 + -796. Which is greater: d or z? d Let g(h) = -112*h - 1001. Let q be g(-9). Which is greater: 3 or q? q Let j = 10.677 - 1.747. Let y = j - -0.07. Suppose -225 = 99*n + 171. Do y and n have the same value? False Let a = 3.05 - 3. Let o = 0.12 - a. Let p = -52750 - -52753. Are p and o unequal? True Let y = -91.4 - -91. Let a = y + 1.4. Does a = 0.1? False Let i be ((-38622)/(-41))/((-24)/(-22) - 2). Let v = 1043 + i. Which is bigger: v or 6? v Suppose 3*o = 7*i - 4*i - 450, 0 = -i + 4*o + 174. Suppose 5*a - 253 - 462 = 0. Which is greater: i or a? a Let t be 5 - (1 + 1)*1. Suppose t*g + w = -109, 179 = -3*g - 2*g + w. Let y be (-18)/g*(-10 + 0). Which is bigger: y or -7/2? -7/2 Let o be 12/7 + (-10)/(-35). Suppose 44 - 56 = -o*h. Let l be 42/(-38)*2/h. Is l not equal to 0? True Let r(n) = 3*n**3 - 2*n**2 - 2*n. Let x be r(-1). Let y = -2 - x. Do 8/13 and y have different values? True Suppose -4*v + 2*v = y - 1, 4*v = -7*y + 47. Suppose q + 2*q = y*q. Is q smaller than 379? True Let t = 14.824 + -14.824. Which is bigger: t or 8978? 8978 Let r be 0 + -4*(-2070)/24 + -6 + 9. Which is smaller: 326 or r? 326 Let h = -0.441 - -466.441. Let d = h + -434. Is 0.1 at most as big as d? True Suppose 4*k + 2*d + 129 + 105 = 0, 3*k + 2*d = -173. Let h be 1/k*(-122)/549. Which is smaller: 1 or h? h Let j = 4437021/574 - 7730. Suppose 140*l + 25*l = -165. Which is greater: l or j? j Let s = -210 + 220. Suppose -2*i = 5*b - 57, 4*i + 8*b - s*b - 54 = 0. Which is bigger: 19 or i? 19 Suppose -947 = -42*b + 901. Is b at most 31? False Let h = 728.31 + 42.69. Do h and 0.02 have different values? True Let d = 117427/4 + -29758. Let b = 403 + d. Let g = 8 + -5. Which is smaller: g or b? b Let x = -75 - -55. Let s be (0 + 4/4)*(-8)/(-28). Which is greater: s or x? s Let j(s) be the third derivative of s**4/3 - 4*s**3 + 148*s**2. Let o be j(-6). Is o != -71? True Suppose 3*b - 136 = 4*k, -3*k - 20*b + 21*b - 102 = 0. Suppose -4*t - 3*l - 82 = -2*t, -4*t - 3*l = 152. Is k at least
{ "pile_set_name": "DM Mathematics" }
is o(-38)? -90 Let r(w) = -2*w**3 + 17*w**2 - 15095*w + 135911. Calculate r(9). -25 Let p(b) = -380985*b + 32383753. What is p(85)? 28 Let f(w) = -1118*w + 18493. What is f(16)? 605 Let n(h) = 13*h**3 - 1348*h**2 - 417*h + 358. Determine n(104). 254 Let p(n) = n**3 - 23*n**2 - 4790*n + 105864. Determine p(22). 0 Let f(s) = 5*s**2 + 159*s + 1085. Give f(-22). 7 Let f(u) = -4*u**2 + 149*u + 59. Calculate f(11). 1214 Let x(q) = q**3 + 34*q**2 - 114*q + 21. Give x(3). 12 Let l(h) = 19*h**3 - 257*h**2 - 187*h + 867. Give l(14). 13 Let q(j) = -96*j - 865. Determine q(-12). 287 Let i(a) = a**3 - 472*a + 93. Give i(-22). -171 Let c(b) = -7*b**2 + 359*b + 511. Give c(54). -515 Let v(d) = -747*d - 4384. Calculate v(-6). 98 Let w(h) = 2*h**3 - 313*h**2 + 113*h + 6598. Determine w(156). -110 Let i(c) = -3622*c - 1611792. Give i(-445). -2 Let j(g) = 4945*g - 261. Give j(0). -261 Let y(b) = b**3 + 79*b**2 - 31*b + 3814. Determine y(-80). -106 Let j(r) = r**3 - 40*r**2 + 133*r - 152. Calculate j(35). -1622 Let s(j) = -6*j**2 - 25309*j + 304569. Calculate s(12). -3 Let a(o) = o**3 + 2*o**2 - 32*o - 272. Calculate a(0). -272 Let v(g) = -4*g**3 + 22*g**2 + 899*g - 5322. What is v(6)? 0 Let k(l) = -14417*l - 43181. Give k(-3). 70 Let h(u) = 29*u**2 - 58*u - 40. Determine h(-5). 975 Let k(n) = n**2 + 186923*n - 1308516. Give k(7). -6 Let o(w) = 938*w + 991. Determine o(0). 991 Let j(r) = -r**3 - 44*r**2 - 3906*r - 166057. Calculate j(-43). 52 Let h(x) = -1608*x + 8032. What is h(5)? -8 Let f(a) = -24467*a - 978685. Calculate f(-40). -5 Let l(o) = -4*o**2 + 399*o - 4242. Determine l(12). -30 Let s(p) = -331*p - 7255. Give s(-23). 358 Let y(i) = 4506*i + 180254. Give y(-40). 14 Let u(y) = -2605*y - 54683. Determine u(-21). 22 Let s(d) = -1861*d + 1921. Determine s(1). 60 Let s(g) = -6*g**2 - 567*g - 9428. Determine s(-19). -821 Let d(o) = 618*o**2 + 1079*o - 321. Give d(-2). -7 Let y(u) = -2*u**2 + 2461*u - 621601. Determine y(355). 4 Let u(h) = h**2 + 1658*h + 34316. Determine u(-21). -61 Let g(b) = 2120*b + 38084. Give g(-18). -76 Let w(b) = -b**2 - 41*b - 7. Calculate w(-12). 341 Let q(x) = -6*x**2 - 5229*x + 131708. Determine q(-896). -4 Let d(f) = -79*f**2 - 1334*f - 5122. What is d(-11)? -7 Let q(f) = -18*f**3 - 26*f**2 - 40*f + 18. What is q(-4)? 914 Let d(v) = 1735*v - 744506. Determine d(429). -191 Let u(b) = 5*b**2 - 1110*b - 8078. Determine u(229). -63 Let r(p) = -2*p**2 - 860*p + 49045. Give r(-481). -17 Let f(v) = v**2 - 5018*v - 75481. Determine f(-15). 14 Let f(d) = -4*d**3 + 11*d**2 + 214*d + 91. Determine f(9). -8 Let v(q) = -57614*q + 287920. Give v(5). -150 Let r(i) = -i**2 - 201*i - 5528. What is r(-156)? 1492 Let p(w) = 2*w**3 - 102*w**2 + 9*w - 1023. Calculate p(51). -564 Let x(p) = -875*p - 47138. Determine x(-54). 112 Let s(k) = 774*k - 41553. Calculate s(53). -531 Let a(r) = -62*r**3 + 2997*r**2 - 1007*r - 60. Calculate a(48). -12 Let y(h) = -h**2 + 72*h - 366. Determine y(36). 930 Let h(s) = 17*s**3 - 32*s**2 + 125*s - 263. Calculate h(2). -5 Let d(x) = 2*x**3 + 154*x**2 + 2911*x + 281. Determine d(-44). -27 Let d(h) = -2*h**2 + 1391*h + 190130. Determine d(-117). 5 Let c(t) = -2*t**2 - 3387*t + 47800. Calculate c(14). -10 Let i(n) = -1593*n - 198562. Calculate i(-124). -1030 Let c(p) = -17*p**3 - 209*p**2 - 92*p - 416. What is c(-12)? -32 Let z(b) = 18*b**2 + 13240*b - 39887. Calculate z(3). -5 Let u(k) = -2831*k - 50905. What is u(-18)? 53 Let h(f) = 14*f**2 + 10775*f + 74680. What is h(-7)? -59 Let o(u) = 182099*u + 546296. Determine o(-3). -1 Let m(g) = -879*g - 81671. Give m(-93). 76 Let h(f) = -1296*f + 14136. Determine h(11). -120 Let l(f) = -559*f**2 + 58723*f - 2946. What is l(105)? -6 Let l(f) = -241350*f + 5068355. Determine l(21). 5 Let m(f) = -2*f**2 + 133*f + 3374. Calculate m(86). 20 Let h(v) = 2*v**2 - 1538*v + 16799. Determine h(11). 123 Let f(w) = 51547*w - 8350596. Give f(162). 18 Let n(i) = i**3 - 83*i**2 + 1040*i - 1467. Calculate n(68). -107 Let y(h) = -298*h**2 - 1768*h - 1383. Calculate y(-5). 7 Let r(b) = -316*b - 5079. Calculate r(-11). -1603 Let t(w) = 2*w**3 - 6*w**2 + 1425*w + 1430. Give t(-1). -3 Let n(d) = 1077*d**2 - 468*d - 613. Give n(1). -4 Let g(b) = 976*b - 395185. Give g(405). 95 Let b(i) = 268*i**2 + 22*i - 7. Determine b(-1). 239 Let k(x) = 34*x**3 + 23*x**2 - 56*x + 26. What is k(3)? 983 Let g(a) = -1829*a - 693147. What is g(-379)? 44 Let c(n) = -79*n**2 - 281*n + 8003. Give c(-12). -1 Let s(i) = -787*i - 1599. Calculate s(-2). -25 Let w(f) = 83049*f - 5. What is w(0)? -5 Let g(f) = 5*f**3 - 265*f**2 - 12*f - 458. What is g(53)? -1094 Let h(s) = 2*s**3 + 1022*s**2 - 7147*s + 54393. Determine h(-518). 3 Let y(p) = 2*p**2 + 3531*p - 75099. Calculate y(21). -66 Let o(z) = z**3 + 25*z**2 - 1778*z + 15484. Give o(23). -18 Let r(c) = -c**3 + 1016*c**2 + 2642*c + 422889. What is r(1019)? 4 Let z(g) = -4*g**3 + 894*g**2 + 447*g + 397. Determine z(224). 173 Let g(x) = x**3 + 96*x**2 - 526*x + 94. Calculate g(5). -11 Let r(z) = z**3 - 261*z**2 - 106*z + 27704. Determine r(261). 38 Let g(l) = 5*l**3 + 63*l**2 - 215*l - 15. Determine g(3). 42 Let s(w) = -w**3 + 10*w**2 + 42*w - 132. What is s(12)? 84 Let s(q) = -86*q - 3379. Calculate s(-25). -1229 Let k(t) = -65*t**2 + 890*t - 26. Determine k(14). -306 Let h(t) = 2*t**3 - 600*t**2 - 3051*t + 300. Calculate h(305). -5 Let j(h) = -4859*h - 38765. Determine j(-8). 107 Let k(n) = 509654*n + 10702734. Calculate k(-21). 0 Let w(u) = -2*u**2 + 242*u + 1689. What is w(0)? 1689 Let l(o) = -2*o**2 - 14555*o - 58216. Give l(-4). -28 Let g(k) = -60111*k + 300627. Give g(5). 72 Let m(s) = 15301*s + 443754. Determine m(-29). 25 Let v(j) = 40033*j + 1120921. What is v(-28)? -3 Let j(f) = 2883*f - 588226. Give j(204). -94 Let r(g) = 45999*g - 183980. What is r(4)? 16 Let k(i) = 2*i**3 - 4*i**2 - 14*i - 91. Calculate k(-4). -227 Let b(s) = s**3 + 296*s**2 - 5320*s - 109. Determine b(-313). -422 Let t(s) = -17*s**3 - 3*s**2 - 2048*s - 6149. Calculate t(-3). 427 Let m(z) = 2*z**3 + 78*z**2 - 659*z + 4372. Give m(-47). 1 Let o(q) = q**3 + 8*q**2 - 544*q - 2655. Determine o(22). -103 Let u(y) = -493*y**2 + 12*y + 3. Calculate u(2). -1945 Let h(a) = 113*a - 2797. What is h(39)? 1610 Let a(s) = 13*s**3 - 30*s**2 - 343*s + 700. Give a(2). -2 Let t(c) = -8719*c + 950389. Give t(109). 18 Let d(j) = j**3 - 245*j**2 + 8525*j - 2. Calculate d(42). -44 Let k(w) = -2*w**3 - 136*w**2 - 2*w + 555. Determine k(-68). 691 Let h(o) = -17*o**2 - 30482*o - 989119. Determine h(-1760). 1 Let g(m) = -56861*m + 56891. Give g(1). 30 Let f(h) = 993*h + 7899. Determine f(-8). -45 Let g(h) = -h**3 - 22*h**2 + 119*h + 2143. Determine g(-23). -65 Let t(f) = 2431*f + 54719. Give t(-23). -1194 Let m(i) = 913*i - 690. Give m(0). -690 Let d(c) = -2*c**2 + 991*c + 125961. Give d(-105). -144 Let b(h) = 4067*h + 248090. What is b(-61)? 3 Let z(x) = 104*x**2 - 68*x + 64. Determine z(1). 100 Let q(w) = w**3 + 25*w**2 - 488*w - 8527. Give q(-17). 2081 Let a(h) = 13*h**2 + 17*h + 57. Give a(4). 333 Let i(h) = 179*h**3 + 2147*h**2 - 26*h - 169. Determine i(-12). -1 Let x(h) = 753*h - 97959. Give x(130). -69 Let f(z) = 5*z**2 - 629*z - 10596. Give f(-16). 748 Let x(r) = 70*r**3 - 4*r**2 + 149*r - 144. Give x(1). 71 Let w(a) = 245*a + 28623. What is w(-113)? 938 Let c(m) = 6818*m + 893051. What is c(-131)? -107 Let v(o) = -o**3 - 4*o**2 - 333*o - 2469. What is v(-7)? 9 Let f(v) = -1238*v + 72764. Determine f(59). -278 Let h(n) = 938*n**2 - 5604*n + 31. Give h(6). 175 Let d(h) = 2425*h + 12202. What is d(-5)? 77 Let u(s) = 990*s + 369276. What is u(-373)? 6 Let d(a) = a**3 - 35*a**2 - 196*a - 1727. What is d(41)? 323 Let q(p) = -9*p**2 - 3237*p + 3228. Calculate q(1). -18 Let a(h) = -4423*h + 1503812. Give a(340). -8 Let r(y) = -47*y**2 - 21*y + 96. Give r(5). -1184 Let k(x) = 10168*x - 782936. What is k(77)? 0 Let o(x) = -x**3 - 82*x**2 + 236*x - 26. Calculate o(-85). 1589 Let r(m) = 8*m**3 + 88*m**2 + 111*m + 38. Calculate r(-1). 7 Let v(d) = -76*d**2 - 103*d - 250. What is v(-2)? -348 Let d(u) = u**3 + 24*u**2 - 216*u - 84. What is d(-31)? -115 Let g(n) = -4*n**2 + 211*n - 851. What is g(5)? 104 Let q(b) = -34*b**3 + b**2 - 177*b + 658. Determine q(4). -2210 Let b(z) = -218*z**3 + 6097*z**2 + 187*z + 246. Give b(2
{ "pile_set_name": "DM Mathematics" }
sequence pk? 1/153 Calculate prob of sequence pa when two letters picked without replacement from {v: 1, a: 1, m: 1, p: 1, u: 1}. 1/20 Calculate prob of sequence mm when two letters picked without replacement from {b: 9, m: 5}. 10/91 What is prob of sequence pp when two letters picked without replacement from tpppppppt? 7/12 Three letters picked without replacement from {h: 5, v: 5, q: 4}. What is prob of sequence vqv? 10/273 Calculate prob of sequence os when two letters picked without replacement from ovtxs. 1/20 What is prob of sequence bpep when four letters picked without replacement from {p: 6, b: 8, e: 3}? 3/238 What is prob of sequence bj when two letters picked without replacement from bbjbbbbbjb? 8/45 Calculate prob of sequence ac when two letters picked without replacement from czochczacccccczqcch. 11/342 Three letters picked without replacement from ahszkkkskkhhskahs. What is prob of sequence ahk? 1/85 Calculate prob of sequence ryyf when four letters picked without replacement from {r: 1, f: 1, y: 2}. 1/12 Three letters picked without replacement from ukoowfw. What is prob of sequence kou? 1/105 Calculate prob of sequence znz when three letters picked without replacement from zenuzed. 1/105 Two letters picked without replacement from tttt. What is prob of sequence tt? 1 Calculate prob of sequence hr when two letters picked without replacement from {h: 5, r: 8, i: 5}. 20/153 Four letters picked without replacement from {h: 2, q: 1, u: 3, x: 4}. Give prob of sequence qhuh. 1/840 Calculate prob of sequence mmc when three letters picked without replacement from {c: 1, m: 2}. 1/3 Four letters picked without replacement from fcgg. Give prob of sequence gcfg. 1/12 Calculate prob of sequence rfg when three letters picked without replacement from ffrrgfggfgfrggr. 4/91 Calculate prob of sequence iof when three letters picked without replacement from {f: 2, l: 5, o: 5, k: 1, i: 3}. 1/112 Three letters picked without replacement from {n: 5, r: 5, k: 1, m: 5}. What is prob of sequence rnr? 5/168 Four letters picked without replacement from {v: 1, f: 1, o: 3}. Give prob of sequence ooov. 1/20 Calculate prob of sequence lz when two letters picked without replacement from {l: 1, v: 1, a: 1, z: 1, s: 1, x: 2}. 1/42 Calculate prob of sequence gv when two letters picked without replacement from cvhahmcchmhmhcmgmmm. 1/342 Calculate prob of sequence sis when three letters picked without replacement from issrssisirsiiirssrs. 24/323 Four letters picked without replacement from {l: 2, e: 2, n: 1, a: 1, y: 1, f: 1}. Give prob of sequence eyyf. 0 Two letters picked without replacement from lflllffflffl. Give prob of sequence ff. 5/22 Calculate prob of sequence uuuq when four letters picked without replacement from {u: 5, n: 8, q: 5}. 5/1224 What is prob of sequence ee when two letters picked without replacement from nnnntennnnnteennnnt? 1/57 Three letters picked without replacement from {n: 4, l: 3, k: 2}. Give prob of sequence knn. 1/21 Three letters picked without replacement from {a: 6, w: 2}. Give prob of sequence waw. 1/28 What is prob of sequence gax when three letters picked without replacement from {a: 3, g: 2, x: 1, h: 3, b: 1}? 1/120 What is prob of sequence njn when three letters picked without replacement from {y: 11, j: 2, a: 5, n: 1}? 0 What is prob of sequence ppf when three letters picked without replacement from {p: 2, f: 1, y: 1, x: 1, a: 1, c: 1}? 1/105 Three letters picked without replacement from {p: 1, r: 2, o: 2, j: 1, f: 1, z: 8}. What is prob of sequence poo? 1/1365 What is prob of sequence wptj when four letters picked without replacement from {w: 1, g: 1, p: 1, t: 2, j: 2}? 1/210 Three letters picked without replacement from gglcngiaaiciaii. Give prob of sequence ini. 2/273 Two letters picked without replacement from {f: 9}. Give prob of sequence ff. 1 Calculate prob of sequence ff when two letters picked without replacement from frffffffftftririwff. 55/171 Two letters picked without replacement from {d: 1, s: 2}. What is prob of sequence ds? 1/3 What is prob of sequence qq when two letters picked without replacement from {o: 1, s: 2, q: 4}? 2/7 Calculate prob of sequence zoza when four letters picked without replacement from {a: 2, q: 1, o: 1, k: 10, z: 3}. 1/4760 Two letters picked without replacement from qmsqqqkqyy. Give prob of sequence qm. 1/18 Two letters picked without replacement from hhxhxjhxccx. What is prob of sequence xc? 4/55 Calculate prob of sequence rk when two letters picked without replacement from rvnvllrllklkklkrkk. 1/17 Four letters picked without replacement from {o: 1, f: 1, e: 1, v: 1, r: 1, m: 2}. What is prob of sequence mref? 1/420 What is prob of sequence gu when two letters picked without replacement from gzxgguuxghuizi? 6/91 Three letters picked without replacement from {m: 1, v: 1, a: 2, c: 1, t: 1, y: 1}. What is prob of sequence mav? 1/105 Calculate prob of sequence mj when two letters picked without replacement from {m: 4, j: 1, b: 6}. 2/55 Calculate prob of sequence jt when two letters picked without replacement from jhtj. 1/6 Three letters picked without replacement from ohthhththtohoh. What is prob of sequence ohh? 3/52 Calculate prob of sequence ee when two letters picked without replacement from zewzzze. 1/21 What is prob of sequence ogc when three letters picked without replacement from gaxocok? 1/105 Two letters picked without replacement from bghcgllh. Give prob of sequence bg. 1/28 Calculate prob of sequence itii when four letters picked without replacement from qtitqqiiq. 1/252 Four letters picked without replacement from {z: 1, u: 2, p: 1, c: 1, l: 1, s: 2}. What is prob of sequence szpl? 1/840 What is prob of sequence ol when two letters picked without replacement from {l: 4, o: 10}? 20/91 What is prob of sequence stj when three letters picked without replacement from vtvvjskvsk? 1/360 What is prob of sequence use when three letters picked without replacement from {e: 2, q: 6, j: 1, s: 2, u: 1}? 1/330 Calculate prob of sequence lj when two letters picked without replacement from djtjtjttjtltqjt. 1/42 Calculate prob of sequence xxx when three letters picked without replacement from {x: 3, r: 4}. 1/35 Two letters picked without replacement from {v: 2, b: 2, x: 4, z: 1, h: 2, y: 1}. What is prob of sequence xv? 2/33 Four letters picked without replacement from mpmpmlmzpplzrzrpz. What is prob of sequence mpmr? 1/476 Two letters picked without replacement from {r: 1, k: 1, s: 1, l: 1, t: 1}. What is prob of sequence kl? 1/20 Two letters picked without replacement from yyrryfrnryyfy. What is prob of sequence nf? 1/78 Four letters picked without replacement from {m: 4, p: 3, i: 4}. Give prob of sequence pppi. 1/330 Two letters picked without replacement from {z: 3, x: 2, r: 4}. Give prob of sequence rr. 1/6 What is prob of sequence kkgg when four letters picked without replacement from {g: 5, k: 9}? 60/1001 Two letters picked without replacement from jcccjjcccjcjcc. What is prob of sequence cj? 45/182 Four letters picked without replacement from ikbbkkiik. Give prob of sequence bkib. 1/126 Calculate prob of sequence siss when four letters picked without replacement from {s: 3, r: 3, i: 1, l: 4}. 1/1320 Three letters picked without replacement from {w: 2, l: 3, k: 5, q: 2, v: 3}. Give prob of sequence vwk. 1/91 What is prob of sequence ss when two letters picked without replacement from aasaasaaaaaaa? 1/78 Four letters picked without replacement from {e: 5, a: 15}. What is prob of sequence eaee? 5/646 Three letters picked without replacement from sqkqsqqqqwwskwsqs. What is prob of sequence wks? 1/136 Calculate prob of sequence ksu when three letters picked without replacement from ssukssuus. 5/168 What is prob of sequence do when two letters picked without replacement from ookvkkvndnoo? 1/33 Calculate prob of sequence xx when two letters picked without replacement from {h: 2, x: 9}. 36/55 Two letters picked without replacement from {v: 3, i: 1, l: 3, f: 5, w: 1}. What is prob of sequence lf? 5/52 Two letters picked without replacement from {c: 2, w: 2}. What is prob of sequence ww? 1/6 Two letters picked without replacement from {p: 5, d: 1, z: 3, j: 1}. What is prob of sequence pz? 1/6
{ "pile_set_name": "DM Mathematics" }
23.4? 208280519.45 -1.12010081 + 6141178 6141176.87989919 Total of 123363997.275 and 0.3. 123363997.575 Work out -5008733656.93 + 52. -5008733604.93 40682 + 7857826736 7857867418 972+-1965276243.47 -1965275271.47 Calculate 5 - -30162232.833. 30162237.833 Add -20177280 and -25354484. -45531764 Add together 0.169 and 0.1425559994109. 0.3115559994109 What is -41240 + -1665.863? -42905.863 Calculate -70.973251 + -15499. -15569.973251 What is -0.0851932368582 + 0.5? 0.4148067631418 Put together -776949 and 1012005. 235056 What is 149668533071 less than -377? -149668533448 Add -138150.08 and -0.0791583. -138150.1591583 What is -0.083273915 take away -25.2? 25.116726085 What is 0.000387 - 5783619394? -5783619393.999613 What is the difference between -13512004506 and -2.01? 13512004503.99 Work out -0.133 + -0.607434713. -0.740434713 Subtract 15754956.832 from 0.4. -15754956.432 What is 0.0866012798811 + 0.3? 0.3866012798811 What is the difference between -4773 and -176662? 171889 Put together -1696790564735 and -5. -1696790564740 Total of 1.9 and -128365395.74. -128365393.84 What is -0.2 less than -16110.1074702721? -16109.9074702721 Work out -8236427 + 1.34722. -8236425.65278 Put together -184 and 491446354. 491446170 What is -38487014 take away -0.00204828? -38487013.99795172 Work out -760 + -218774291617. -218774292377 -35432.931622 - 5794 -41226.931622 What is the distance between 183889049.3 and -2284? 183891333.3 What is -16.81692307 minus 4304? -4320.81692307 What is -369864443 plus 93364? -369771079 What is -672438198 plus -0.12557? -672438198.12557 Sum -3826723996897 and -0.2. -3826723996897.2 What is -47191 less than -511188799? -511141608 Total of -140707 and 1036.652. -139670.348 What is 0.051441 minus -7157.1196? 7157.171041 609140375667 + 302 609140375969 Calculate -35 - 134.933024901. -169.933024901 Total of -2.1736374626395 and -0.26. -2.4336374626395 -2074.079657+-15 -2089.079657 What is 1441657130.1 less than 1364? -1441655766.1 Calculate 426326217778 + -5. 426326217773 Add -0.046 and 312016.694. 312016.648 Calculate -384583572051 - 28. -384583572079 Put together -8.8947080944 and -2. -10.8947080944 Subtract 0.11502 from -9159812. -9159812.11502 165821 + 2668887 2834708 Total of 542498967.7 and -0.3. 542498967.4 Add together -227757.122 and -0.0041. -227757.1261 Calculate 10 - 8472834954151. -8472834954141 What is 332483 take away 0.043961391? 332482.956038609 Calculate -10211461743 + 75. -10211461668 Subtract -9.17 from 485478073. 485478082.17 933762993461+8.8 933762993469.8 Calculate -50599890197 - -2546. -50599887651 What is -1969.705432 plus 107.596? -1862.109432 Work out 147016060 - -1.581. 147016061.581 Subtract 142643295992 from 3. -142643295989 What is -4342.76135072 plus 0? -4342.76135072 Add 0.03506951 and -4046862. -4046861.96493049 -3007109844 - -38 -3007109806 Sum 871 and 998818979. 998819850 Calculate -5.39679 + -275407.4. -275412.79679 What is -7810 + 103667838? 103660028 Total of 13056.9618258 and -0.06. 13056.9018258 Work out -4847.77394112 - 16. -4863.77394112 What is 154.96 minus 1019344.3? -1019189.34 Subtract 224588400253882 from -0.04. -224588400253882.04 0.2 - -10192554.464007 10192554.664007 Put together -26717140595933 and 0.2. -26717140595932.8 Add together -7235.723 and 41254178. 41246942.277 Work out 1123815706 + 6099. 1123821805 Add together 7459136531 and 0.5064. 7459136531.5064 Subtract 3 from -2996.096490822. -2999.096490822 What is 42924767.23 + -8? 42924759.23 -340.293766963 + 0.4 -339.893766963 Calculate 1 - 129592111874. -129592111873 Calculate 98402 + -2559.05116. 95842.94884 -0.209931286 - -1704 1703.790068714 Subtract -31 from -1461338097732. -1461338097701 -82.453782308 - 8092 -8174.453782308 What is the distance between -5.5046221 and 2.349? 7.8536221 What is -2 - 517946953982? -517946953984 Add together 151852227 and -1379. 151850848 Subtract -14774309 from -1501837. 13272472 Add 2736217.07 and -389. 2735828.07 Calculate 7 - 8488789505. -8488789498 Calculate -6895166841.92 - -21. -6895166820.92 What is -6573560.031 plus -34.4? -6573594.431 1 - -44905435030131 44905435030132 Work out 120.42601 - 4846.54. -4726.11399 2324 - 795176005 -795173681 What is 578 take away -145.3420616726? 723.3420616726 -0.4828 - 19398992072 -19398992072.4828 Put together -1794.2 and 417323257.7. 417321463.5 -99 - 3006641860 -3006641959 What is 0.0519396644684 minus 4.1? -4.0480603355316 What is 5313.5189 take away 215? 5098.5189 Add 47147094853.4 and 5. 47147094858.4 What is -235001288081 take away -2? -235001288079 Subtract 194383.7084 from -86. -194469.7084 What is 72.6991418613 minus -0.049? 72.7481418613 Work out -0.6 - -9657346358641. 9657346358640.4 Calculate -332212220537260 - 1. -332212220537261 What is 11607926101.2 take away -14.9? 11607926116.1 Sum -46513358 and 17.31. -46513340.69 Total of 5846700693948 and -0.2. 5846700693947.8 -55516647.6686693 - -0.5 -55516647.1686693 Total of -2131626.2892317 and -9. -2131635.2892317 What is 0.2 - 56069.877546895? -56069.677546895 What is -964 minus 553119434? -553120398 Total of 0.4 and -614363807276. -614363807275.6 What is 1267.2 less than -74847.3681? -76114.5681 What is -54458.124057 less than 2? 54460.124057 What is -143 less than 11953.719698? 12096.719698 Add together 6292967575470 and 0.5. 6292967575470.5 Subtract 151435599 from -22.8425. -151435621.8425 Work out -87418.4 - -17312.97. -70105.43 Add together 686675858126104 and 3. 686675858126107 Put together -2 and 4317436180822. 4317436180820 What is -5 plus -185.04398630058? -190.04398630058 Work out -0.2 - 21824.9912826. -21825.1912826 Work out -31601501.6 - 30.17. -31601531.77 What is -0.15 + -785098062053? -785098062053.15 What is the difference between -1139273.8 and -35229? 1104044.8 What is -122.23 plus -36249713? -36249835.23 What is -14756 take away 11173630? -11188386 Subtract 0.1 from -1.1735615186134. -1.2735615186134 Sum 61 and -5.78726708745. 55.21273291255 -172 - -2653629397 2653629225 What is 1651 - 16.6053206? 1634.3946794 What is -0.554957318242 minus -3? 2.445042681758 Add -0.3 and -8897599204691. -8897599204691.3 -0.5624194969 - -7.6 7.0375805031 What is 4.3541 minus 1042.4597675? -1038.1056675 Calculate -187.15432 - 552470. -552657.15432 92374270 + 11752.28 92386022.28 Total of -1588142 and -72398254. -73986396 Work out 10.1 - -1418725.0912. 1418735.1912 Calculate -215357 + 0.10329794. -215356.89670206 254147460+-1590.54 254145869.46 Work out 170765 + -18137032. -17966267 Work out 3156423.9 + 1181444. 4337867.9 What is the distance between 4623.1 and -138877.85? 143500.95 Calculate -48092106 - -0.053212. -48092105.946788 Work out 4 + 198.1755585303. 202.1755585303 What is the difference between -11.72 and -1217030095? 1217030083.28 Sum -71938200472893 and 2. -71938200472891 Add -60.3367345771 and -12.5. -72.8367345771 -1406277+20879.2095 -1385397.7905 Add together -4615510.1 and 26128858. 21513347.9 Subtract 0.4 from -120662775443.22. -120662775443.62 Add -954793956 and -243. -954794199 What is -0.4 take away 21484046475? -21484046475.4 120631530 + -1867 120629663 Work out 13728.821982 + 1. 13729.821982 6392452 - -345.34858 6392797.34858 Put together -6149941848 and -6.5. -6149941854.5 Add -71057383890 and 0.4. -71057383889.6 Calculate -8831.891 - -3288855. 3280023.109 16523 - -1392260.182 1408783.182 What is -4 take away -3355967.21997? 3355963.21997 Sum -1.65125599246 and 21.5. 19.84874400754 Work out -44.67391612 - -32444. 32399.32608388 -252360 - 179389 -431749 What is the distance between -196683 and -140.1279916? 196542.8720084 What is 11186861842 + 0.3? 11186861842.3 Calculate 11390755 - -7709.4116. 11398464.4116 Calculate 4 - 542.730953804. -538.730953804 Sum 156634223766 and -2551. 156634221215 9963626097.38+0.5 9963626097.88 What is 0.1346999805 minus 486? -485.8653000195 Calculate 0.0433 - -9860695305. 9860695305.0433 What is the difference between -126048163 and 5285.629? 126053448.629 What is 80.6274195499 - -3? 83.6274195499 Add together -0.0834 and -351527429. -351527429.0834 -3616537 + -117.97807 -3616654.97807 What is -22651924 less than -1.641? 22651922.359 What is 6 minus 3060836414627? -3060836414621 -104.370511 + 4180 4075.629489 What is 2500157 plus 191007306?
{ "pile_set_name": "DM Mathematics" }
t o(j) = -4*j**3 - j**2 - 5. Suppose 3*h + 13 = 4. What are the prime factors of o(h)? 2, 47 Let t(s) = -9*s - 55. Suppose 90 = -9*u - 0*u. What are the prime factors of t(u)? 5, 7 Let s(i) = -37*i + 236. List the prime factors of s(-12). 2, 5, 17 Suppose 0 = -7*d - 8*d + 16530. What are the prime factors of d? 2, 19, 29 Let s(x) = x**3 + 8*x**2 + 7*x. List the prime factors of s(-5). 2, 5 Suppose 0 = -2*b + 3*k + 795, -2*k + 1970 = 5*b - 6*k. List the prime factors of b. 2, 3, 5, 13 Let l = -44 + 48. Let b(q) = 3*q**3 - 5*q**2 + 5*q - 1. What are the prime factors of b(l)? 131 Suppose 2*i - 191 - 277 = 4*m, 4 = -m. Suppose 4*x - 238 - i = 0. What are the prime factors of x? 2, 29 Suppose -3*t - 22 = -34. List the prime factors of (0 + -21)/((-1)/t). 2, 3, 7 Let g = -22 - -36. Let f be (27/(-6))/(3/(-6)). Let a = f + g. What are the prime factors of a? 23 Let c = 1051 - 723. List the prime factors of c. 2, 41 Let h(c) = 157*c - 2. Let m be h(1). Suppose m = 2*j + 43. What are the prime factors of j? 2, 7 Suppose 0 = 5*m - 3*m - 8. Let k be 0 - m - (1 + 0). List the prime factors of (-258)/(-5) - 2/k. 2, 13 Let z = 513 - -189. What are the prime factors of z? 2, 3, 13 Let z = -37 - -76. Let t be (-102 + 2)/((-1)/11). What are the prime factors of (-6)/z + t/52? 3, 7 Suppose 5*h + 0*u = 5*u + 20, 3*u - 28 = -5*h. Suppose 24 = 2*y + 2*b, 2*y + h*b - 12 = -0*b. List the prime factors of y. 2 Suppose 13*t + 24780 = 41*t. What are the prime factors of t? 3, 5, 59 Suppose 11*a + 612 = 2053. Let p = 153 - a. What are the prime factors of p? 2, 11 Suppose 0 = -2*b - 5*y + 671, 4*y + 1765 = 5*b - y. List the prime factors of b. 2, 3, 29 Suppose 10369 + 5207 = 11*f. List the prime factors of f. 2, 3, 59 Suppose -2*i + 2*r = -1380, 0 = 4*r - 10 + 2. List the prime factors of i. 2, 173 Let p(z) = -17*z - 72. What are the prime factors of p(-15)? 3, 61 Let k = -3918 - -5909. List the prime factors of k. 11, 181 Let y = -1 + 1. Suppose 2*d - 202 = 2*f, 2*d - 3*f - 205 = -y*d. List the prime factors of d. 2, 7 Suppose 8*y - 11 = 21. What are the prime factors of 4 + -2 + y + 0? 2, 3 Let o(m) be the third derivative of -m**4/8 + m**3/2 - 3*m**2. Let l be (5/2)/(1/(-2)). List the prime factors of o(l). 2, 3 Suppose -3*v + 3787 = -4*z, v - 2*z = 1065 + 194. List the prime factors of v. 3, 47 Let o(h) = 14 + 5*h + h - 7*h. Let p be o(0). Let x = p + 26. List the prime factors of x. 2, 5 List the prime factors of (6/(72/(-21)))/((-1)/4). 7 Let b = -17 - -20. Suppose -3*j + i = -2, -2*i - 10 = 3*j + b. Let y(t) = -14*t - 2. List the prime factors of y(j). 2, 3 What are the prime factors of (584/10)/(127/5080)? 2, 73 Let b(y) = y**2 + y + 15. Let s be b(0). Suppose -5*i + s*i - 500 = 0. List the prime factors of i. 2, 5 Let o(g) = 71*g + 53. What are the prime factors of o(5)? 2, 3, 17 Let j(g) = 3*g + 12. Let b be j(-4). Suppose b = s + 7 - 44. What are the prime factors of s? 37 Let k(x) = 7*x**2 - 30*x + 2. Let j be k(4). What are the prime factors of 5/(j/(-80)*(-6)/(-9))? 2, 5 What are the prime factors of 8/16*1124/2*2? 2, 281 Let g = 27 + -13. Let w = 27 - g. Let l = w - 3. What are the prime factors of l? 2, 5 Let t = 226 - 2. List the prime factors of t. 2, 7 Suppose -i + 4*n + 14 + 102 = 0, -2*n = i - 128. List the prime factors of i. 2, 31 Suppose 0 = 3*p + 2*p. Suppose 16 = -p*c - 4*c. List the prime factors of c/(-16) + 38/8. 5 Let z = 729 + -401. What are the prime factors of z? 2, 41 Suppose 3*y + 653 = 5*g, -3*g + 286 = -5*y - 109. Let m(t) = 4*t - 30. Let h be m(9). Suppose -g = -h*s + s. List the prime factors of s. 2, 13 Suppose 11*u = 10028 + 2105. List the prime factors of u. 1103 What are the prime factors of (((-140)/3)/(-14))/(1/120)? 2, 5 Let v be (-2)/(-7) - 308/49. Let k = -4 - v. Suppose k*d - d - 32 = 0. List the prime factors of d. 2 Suppose 4*h - 27 = -5*i, -3*h - 2*i + 10 + 5 = 0. What are the prime factors of (10/h)/(232/114 + -2)? 5, 19 Let r be (-4)/(3 + -7)*-41. Let y = r - -87. What are the prime factors of y? 2, 23 Let n = 22 - 100. Let l = n - -212. List the prime factors of l. 2, 67 What are the prime factors of (-2858)/(-4) + (-18)/36? 2, 3, 7, 17 Suppose 0 = -85*q + 80*q. What are the prime factors of (2 - 6)/(4/(-74)) + q? 2, 37 Let p(s) = -s**2 - 14*s - 6. Let k be p(-10). Suppose -v + k = -0. What are the prime factors of v? 2, 17 Let u(w) = 2828*w**2 + 4*w - 4. Let v be u(1). List the prime factors of (-12)/42*v/(-4). 2, 101 Suppose 5*y - 2*t - 96 = -37, 4*y - 54 = 5*t. Let v = y - -17. Let k = v - 11. What are the prime factors of k? 17 Suppose -5255 = -5*p - 5*v, -5*v = 2*p - 971 - 1119. What are the prime factors of p? 5, 211 Let m(p) = p**3 - 12*p**2 - 12*p - 63. What are the prime factors of m(14)? 7, 23 Let h = -4 - -11. Suppose 5*q - 2*j = 11, q - 3*j = 3*q + h. Let l(k) = 27*k. What are the prime factors of l(q)? 3 Let a = 18 - 16. Suppose 2*f - 2*n - 22 = a*n, 0 = -5*f + 5*n + 80. List the prime factors of f. 3, 7 Let y(z) = 21*z - 1. Let j be y(7). Let h = -59 + j. Suppose 16*o - h = 13*o. List the prime factors of o. 29 Let t be 27/(-12)*12/(-9). Suppose -t*f + 5*b = -233, 5*f - 3*b - 367 = -0*f. Suppose 0 = -2*k + 1 + f. What are the prime factors of k? 2, 3 What are the prime factors of (2/4)/((-38)/(-63916))? 29 Let j = -2 - -2. Suppose -7*v + 3*v = j. Suppose -a + v*a = -b + 23, 2*b + 3*a - 71 = 0. List the prime factors of b. 2, 7 Let m(i) = i**2 + 5*i + 1. Let y be m(-3). List the prime factors of y + (2 - -1) + 170. 2, 3, 7 Suppose 2*q - 381 + 17 = -4*c, 2*q - 274 = -3*c. Suppose 10*h - c = 7*h. List the prime factors of h. 2, 3, 5 Suppose 31*g = 55*g - 7920. What are the prime factors of g? 2, 3, 5, 11 Let i(w) = -2*w**2 + 5*w + 1. Let x(t) = t**2 - 3*t - 1. Let y(g) = -4*i(g) - 7*x(g). What are the prime factors of y(-3)? 3 Let m(c) = -30*c**3 - 3*c**2 - 13*c - 40. List the prime factors of m(-4). 2, 3, 157 Let w be (2/2)/((-2)/6). Let q(s) = -16*s + 13 + 28 - 45. List the prime factors of q(w). 2, 11 Let c(k) = 644*k**2 - 2*k - 4. What are the prime factors of c(-1)? 2, 3, 107 Suppose 0 = 48*n - 90*n + 97230. What are the prime factors of n? 5, 463 Let j = -568 - -890. What are the prime factors of j? 2, 7, 23 Let y = 127 + -119. Suppose y*p = 277 + 1499. What are the prime factors of p? 2, 3, 37 Let g(m) = 34*m**2 - 15*m - 3. List the prime factors of g(4). 13, 37 Let s(v) be the first derivative of 3*v**2 + 19*v - 26. What are the prime factors of s(10)? 79 What are the prime factors of (2 + 334/3)*(-168)/(-70)? 2, 17 Let s(v) = 9*v - 4. Let q be s(-2). Let x(w) = w**2 + 19*w - 12. What are the prime factors of x(q)? 2, 3 Let z(q) = 3*q - 15. Let o be z(6). Let a be (-3*2)/o - -12. Let l = -1 + a. List the prime factors of l. 3 Let x be (1/(-2))/((-7)/56). Suppose x*t = -2*f - 14, f = t - 2*t - 3. List the prime factors of 46 - -2*2/t. 3, 5 Let f(g) = g - 6. Let w be f(6). Let x be (w - -5)/(2/8). Suppose 5*j = x + 10. What are the prime factors of j? 2, 3 Suppose -4 = -2*f + 3*m - 19, 15 = 3*f + 3*m. Suppose f = 2*a - 4*l + 32, 0*a + 4*l = -3*a + 2. Let n = a + 24. What are the prime factors of n? 2, 3 Let d(o) = 124*o + 2089. What are the prime factors of d(0)? 2089 Let c(x) = x - 5. Let l be c(5). Suppose -5*m + 2*a = -87, l*a = 3*m - a - 53. What are the prime factors of m? 19 Let r be (4/(-5))/(10/(-25)). Suppose -r*n - 3*i = 2*n - 17, 5*i = 15. What are the prime factors of (-12)/(-3) + 74/n? 41 Let s(k) be the third derivative of -5*k**4/6 - k**3 + 12*k**2. What are the prime factors of s(-3)? 2, 3 Let z(w) = -7*w**2 + 11*w + 5. Let j(n) = n + 1. Let t(g) = 3*j(g) - z(g). What are the prime factors of t(4)? 2, 3, 13 Let t(a) = -5 + 2 - a**2 - 2*a + 3*a**2 + 11. What are the prime factors of t(5)? 2, 3 Suppose 3*m - 3 = 12. Suppose -60 = -m*i + 120. What are the prime factors of i? 2, 3 Suppose -253 - 719 = -3*b. Suppose -6*i = -2*i - b. What are the prime factors of i? 3 Let a = -1580 + 4713. List the prime factors of a. 13, 241 Suppose 11 = -2*l + 1. What are the prime factors of 8 - l - (-1 - 0)? 2, 7 Let r(q) = q**3 - 4*q**2 - 5*q - 7. Suppose -2*u - u = -18. List the prime factors of r(u). 5, 7 Let z(x) = 65*x**2 - 2*x - 3. Let d be z(-2). Suppose -a = 2*a - d. List the prime factor
{ "pile_set_name": "DM Mathematics" }
derivative of 4984998*x**3 + 4224402*x**2 wrt x? 29909988 Find the first derivative of -6*n**3 - n**2 + 1066*n + 127247. -18*n**2 - 2*n + 1066 What is the first derivative of t**4 - 12*t**2 - 12453*t - 2911349 wrt t? 4*t**3 - 24*t - 12453 Find the third derivative of -10161*z**5 - z**4 - 2*z**2 - 2*z + 4633 wrt z. -609660*z**2 - 24*z Find the first derivative of -120*b**3 - 95*b**2 + 15307 wrt b. -360*b**2 - 190*b Find the first derivative of 71085*w - 59079 wrt w. 71085 What is the third derivative of -33248*t**2*v**4 + 87*t**2*v**2 - 4*t**2*v - 2*t*v + 2*t - 18*v**2 wrt v? -797952*t**2*v What is the third derivative of -32*i**4*n**3 - 381*i**3*n**3 + 2*i**2*n**2 + 2*i*n**3 + 3*i*n + 2421*i wrt i? -768*i*n**3 - 2286*n**3 Find the second derivative of -11770*j**3*l**2 + 2*j**3 + 29*j*l + 26*j wrt l. -23540*j**3 Differentiate -195*z**2 - 133*z + 6887 with respect to z. -390*z - 133 What is the first derivative of -19*c**2*w**4 + 1038*c**2*w**2 + 10*c**2 - c - 3 wrt w? -76*c**2*w**3 + 2076*c**2*w What is the derivative of 3379*n**3 - 2*n**2 + 51*n - 1725494 wrt n? 10137*n**2 - 4*n + 51 Differentiate -1982280*p + 2720910. -1982280 Find the third derivative of 137459*t**6 + 7*t**4 + 160*t**2 - 10224 wrt t. 16495080*t**3 + 168*t Find the second derivative of -12411*k**2*z**2 - 8*k**2*z - 2*k*z**2 + 3542*k*z wrt z. -24822*k**2 - 4*k What is the third derivative of 67701*c**3*q**3*u**3 + c**3*q**2*u**3 + 2*c**3*q**2 + 3*c**2*u**2 - 156098*q**3*u + q**3 wrt u? 406206*c**3*q**3 + 6*c**3*q**2 Find the second derivative of -153800*j**2*y**3 - j*y**3 - 4*j*y + 77*j + 3*y**3 wrt j. -307600*y**3 What is the first derivative of 1298*g**4*q**3 - g**4*q**2 + 61*q**3 - q - 832 wrt g? 5192*g**3*q**3 - 4*g**3*q**2 Find the third derivative of -12*b**2*h**4 + 102749*b**2*h**2 + b**2*h + 6679*b*h**4 wrt h. -288*b**2*h + 160296*b*h Find the second derivative of -15492*j**2 - 5126*j + 2 wrt j. -30984 What is the second derivative of -503460*g**2 - 1491504*g? -1006920 Find the third derivative of -3*d**4 + 10894*d**3 - 2*d**2 - 85397*d. -72*d + 65364 What is the third derivative of 70290*k**6 + k**4 + 3*k**2 - 8113? 8434800*k**3 + 24*k Find the second derivative of 71*h**2*m**2*t - 2*h**2*m*t + h**2*t + 50*h*m**2*t - 211*h*m*t + 2*t wrt m. 142*h**2*t + 100*h*t What is the second derivative of 39397*d**3 - 31*d**2 - 29*d + 47135? 236382*d - 62 Find the third derivative of 7*m*q**3 - m*q**2 + 2*m*q + 311*q**5 + 17*q**4 + 68*q**2 - q + 1 wrt q. 42*m + 18660*q**2 + 408*q What is the third derivative of 12*f**3*p**3 + 19758*f**3*p + 30*f**2*p**3 + 2*f**2*p + f*p - 213*p**3 wrt f? 72*p**3 + 118548*p What is the first derivative of 87975*l**2 - 129438 wrt l? 175950*l What is the third derivative of 872*n**5 - 6*n**4 - 10*n**3 - 204766*n**2 wrt n? 52320*n**2 - 144*n - 60 What is the second derivative of -72*i**3 - 893*i**2 + 4645*i wrt i? -432*i - 1786 What is the second derivative of -28881*t**5 + 30*t**4 + 80*t + 17056? -577620*t**3 + 360*t**2 Find the second derivative of -3*d**2*m**2 - d**2*m + 335653*d**2 - 268*d*m**2 + 2*d*m + 86*m**2 wrt m. -6*d**2 - 536*d + 172 What is the third derivative of 3*j**6 + 355*j**3 + 78*j**2 + 25? 360*j**3 + 2130 Find the second derivative of -1157*g**2*q**5 - 27*g**2*q**3 - 17*g**2 + 37*g*q - 1 wrt q. -23140*g**2*q**3 - 162*g**2*q What is the third derivative of s**5 + 151511*s**4 - 2*s**3 + 367937*s**2? 60*s**2 + 3636264*s - 12 What is the second derivative of -155582*b**3 - 1366*b - 165 wrt b? -933492*b What is the second derivative of 28*x**5 + 349*x**3 + 11*x - 4278? 560*x**3 + 2094*x What is the second derivative of 894*k*q**4 - 336259*k*q + 149*q**5 wrt q? 10728*k*q**2 + 2980*q**3 Find the second derivative of -2068363*g**2 + 568032*g. -4136726 Find the first derivative of -18286*m**2 - 8732. -36572*m Find the third derivative of -21403*d**5 + 151*d**2 - 352*d - 1 wrt d. -1284180*d**2 What is the third derivative of -141119*i**6 - 73518*i**2 wrt i? -16934280*i**3 Find the second derivative of a*p**5 + 1214*a*p**3 - 1670*a*p - 3*a + 14*p**2 + 22*p - 1 wrt p. 20*a*p**3 + 7284*a*p + 28 Find the third derivative of 115*k**2*w**3 - 2750*k**2*w**2 + 34*k**2 + 777*w**3 wrt w. 690*k**2 + 4662 What is the third derivative of -3634*m**5 - 2*m**3 - 781*m**2 + 3*m + 2? -218040*m**2 - 12 What is the second derivative of 3974*u**4*y**3 + u**4 + 17*u*y**3 + 9*y**3 + 67*y**2 wrt u? 47688*u**2*y**3 + 12*u**2 Find the second derivative of 940*y**4 + 18*y**2 + 96043*y wrt y. 11280*y**2 + 36 What is the second derivative of 2*d**2*k**3 + 2*d**2*k**2 + 5888*d**2*k - 3*d**2 - 657217*d*k**2 + 2*k**3 wrt d? 4*k**3 + 4*k**2 + 11776*k - 6 Differentiate 4*a**3*k*l + 4*a**3*l + 51800*a**3 + 2*a**2*k - 816*a*k*l wrt l. 4*a**3*k + 4*a**3 - 816*a*k What is the third derivative of 70571*j**4*m**2 + 11*j**2*m**2 + j*m**2 + 14*j - 22*m wrt j? 1693704*j*m**2 Find the third derivative of 3372295*u*w**4 - 3*u*w**2 - 7*u*w + 11*u - 2*w**2 - 7 wrt w. 80935080*u*w Differentiate 2*c**3 + 196368*c**2 + 1298505 wrt c. 6*c**2 + 392736*c Find the first derivative of -i*q**3 + 33256*i + 6*q**3 + 8518*q wrt i. -q**3 + 33256 What is the third derivative of 623181*g**6 - 14425*g**2? 74781720*g**3 Find the third derivative of 7690*d**3*u**4 - 3*d**3 - 2*d*u**4 + 5*u**3 + 10830*u**2 wrt u. 184560*d**3*u - 48*d*u + 30 What is the second derivative of 46098*r**2 + 1597*r + 7? 92196 Find the second derivative of -3590*c**3*f**2 + 2*c**3*f + 6*c**3 - 2211*c**2*f - 2*f wrt f. -7180*c**3 Find the second derivative of 5*k**5 + 107338*k**4 + 14450*k - 3. 100*k**3 + 1288056*k**2 What is the third derivative of -459013*b**2*p**5 - 140811*b**2*p - 4*b*p**2 + p**2 wrt p? -27540780*b**2*p**2 Find the third derivative of -36325*x**5 - x**4 + 3*x**3 - 2846*x**2 + 12*x wrt x. -2179500*x**2 - 24*x + 18 What is the second derivative of -12920*a**2*l**4 + 4*a**2 - a*l**3 + 11060*a*l wrt l? -155040*a**2*l**2 - 6*a*l What is the first derivative of 91873*s**2 + 91058 wrt s? 183746*s Find the second derivative of 2160*z**3 + 6*z**2 - 35*z - 11824. 12960*z + 12 Find the third derivative of -1031873*g**3 - 457294*g**2 wrt g. -6191238 Find the third derivative of -829829*t**3 + 823025*t**2. -4978974 What is the second derivative of -961*g**5*t - 83*g**4 - g*t - 2*g - 1432*t + 1 wrt g? -19220*g**3*t - 996*g**2 What is the derivative of 83*i*u*z + i*u - 15*i*z - 2156*i + u - 36*z - 4 wrt z? 83*i*u - 15*i - 36 Find the third derivative of -2*d*w*x**4 + 34*d*w*x**2 + 6*d*x**4 + 2*d*x**2 - 415*w*x**3 + 41*w*x**2 + 2*x + 4 wrt x. -48*d*w*x + 144*d*x - 2490*w What is the third derivative of 103*a**2*j**4 + 8099*a**2*j**2 + a**2 + 72*a*j**5 - 3*a*j**2 wrt j? 2472*a**2*j + 4320*a*j**2 Find the second derivative of h**4 - 45845*h**3 - 383*h - 67 wrt h. 12*h**2 - 275070*h Differentiate 3*i**2*m**3 - 1910*i*m**3 + 285*m**3 + 206 with respect to i. 6*i*m**3 - 1910*m**3 Find the third derivative of 3320254*p**3 - 66615*p**2 - p + 1. 19921524 What is the third derivative of a**5 + 3*a**4 + 6864*a**3 - 46587*a**2 wrt a? 60*a**2 + 72*a + 41184 What is the derivative of -532589*r**3 - 260319? -1597767*r**2 What is the second derivative of 5714*z**5 - 2*z**3 - 4*z**2 + 21*z - 1351? 114280*z**3 - 12*z - 8 Differentiate -539604*h**2 + 466585. -1079208*h Find the first derivative of -2786820*j + 663001 wrt j. -2786820 What is the third derivative of 137*i**4 + 911*i**3 + 88*i**2 - 16*i - 10? 3288*i + 5466 What is the third derivative of 33175*o**3 - 16435*o**2 wrt o? 199050 What is the derivative of -16904*x**3 - 208205 wrt x? -50712*x**2 What is the second derivative of -2*m**5 - m**4 - 345*m**3 - 344001*m wrt m? -40*m**3 - 12*m**2 - 2070*m Find the third derivative of 22*k**3*o*x + 219*k**3*o + 1163*k**3*x**3 - 7*k*o*x**4 + k*x**2 - o*x**3 wrt x. 6978*k**3 - 168*k*o*x - 6*o Find the first derivative of 17122*j**2*t*x + 20*j**2*t + j*x - 999*t*x + 319 wrt j. 34244*j*t*x + 40*j*t + x Find the third derivative of -5375*c*k**3*m**3 + c*k**2*m**3 + c*k**2*m**2 - 17448*k**3*m - 2*k**2*m**2 wrt m. -32250*c*k**3 + 6*c*k**2 What is the second derivative of -5*m**4 - 1489*m**2 - 3678*m - 4 wrt m? -60*m**2 - 2978 Find the second derivative of 14*f**2*q**2 - 16876*f**2 - 44412*f + 10*q**2 wrt f. 28*q**2 - 33752 What is the second der
{ "pile_set_name": "DM Mathematics" }
r letters picked without replacement from iqldiiiqhiinlnqli. Give prob of picking 1 l, 2 h, and 1 n. 0 Two letters picked without replacement from ddxeegdggggedggggx. Give prob of picking 1 e and 1 g. 3/17 Two letters picked without replacement from sssssssss. What is prob of picking 2 s? 1 Calculate prob of picking 2 b, 1 d, and 1 g when four letters picked without replacement from {d: 2, b: 4, g: 4, q: 2}. 16/165 Three letters picked without replacement from {r: 4, u: 8, s: 1}. What is prob of picking 1 u, 1 s, and 1 r? 16/143 Calculate prob of picking 2 f and 2 e when four letters picked without replacement from bbfehfeefdfd. 2/55 Two letters picked without replacement from {w: 7, s: 5, v: 1, t: 1, n: 1}. Give prob of picking 1 s and 1 w. 1/3 Four letters picked without replacement from {r: 2, o: 3, g: 3}. Give prob of picking 2 o and 2 g. 9/70 Two letters picked without replacement from {j: 4, x: 6, u: 1, n: 2, a: 2}. Give prob of picking 1 x and 1 u. 2/35 Four letters picked without replacement from {s: 3, i: 12}. Give prob of picking 2 i and 2 s. 66/455 Three letters picked without replacement from {z: 6, q: 4, s: 2, u: 1}. Give prob of picking 1 q and 2 z. 30/143 What is prob of picking 1 y and 2 q when three letters picked without replacement from {h: 5, q: 2, r: 2, j: 1, l: 1, y: 2}? 1/143 What is prob of picking 1 z and 1 h when two letters picked without replacement from hhhzhzhh? 3/7 What is prob of picking 1 d and 1 c when two letters picked without replacement from {z: 1, b: 1, m: 1, d: 1, c: 1}? 1/10 Two letters picked without replacement from {g: 3, c: 1, j: 2, m: 3, t: 1}. What is prob of picking 1 m and 1 j? 2/15 Two letters picked without replacement from aeeaea. What is prob of picking 2 a? 1/5 Two letters picked without replacement from {p: 5, w: 4, b: 6}. What is prob of picking 1 p and 1 b? 2/7 Three letters picked without replacement from gnngwrswnnnnrgw. Give prob of picking 2 g and 1 s. 3/455 What is prob of picking 2 u and 1 j when three letters picked without replacement from {b: 7, j: 2, u: 6}? 6/91 What is prob of picking 1 a and 1 o when two letters picked without replacement from {a: 1, y: 4, j: 2, o: 2, x: 5}? 2/91 Calculate prob of picking 2 n when two letters picked without replacement from gogqqnknqknqkkgqgoo. 1/57 Calculate prob of picking 2 e when two letters picked without replacement from cppcceep. 1/28 Four letters picked without replacement from aaaiiciiciiaaxiaiic. Give prob of picking 1 c, 1 x, and 2 a. 15/1292 Four letters picked without replacement from {n: 1, g: 4, v: 1, b: 7, r: 3}. What is prob of picking 2 b, 1 v, and 1 g? 3/65 Two letters picked without replacement from {p: 5, d: 3, h: 2, t: 5, a: 4}. What is prob of picking 1 a and 1 t? 20/171 Four letters picked without replacement from jiijijiiiij. What is prob of picking 3 i and 1 j? 14/33 Four letters picked without replacement from {r: 18, y: 1}. What is prob of picking 4 r? 15/19 Calculate prob of picking 1 f and 2 h when three letters picked without replacement from {f: 1, e: 1, h: 3, o: 1, i: 1}. 3/35 Two letters picked without replacement from xqxqqqx. What is prob of picking 2 q? 2/7 Two letters picked without replacement from {h: 7, n: 3, l: 5, e: 3, a: 1}. Give prob of picking 1 n and 1 h. 7/57 Two letters picked without replacement from ttttcttt. Give prob of picking 2 t. 3/4 Calculate prob of picking 1 q and 2 x when three letters picked without replacement from {g: 2, s: 2, x: 3, q: 2}. 1/14 Two letters picked without replacement from rrrrhiuyqurrrqryry. What is prob of picking 2 y? 1/51 Calculate prob of picking 1 m and 3 a when four letters picked without replacement from mmxammamamxaxx. 24/1001 Four letters picked without replacement from {i: 7, d: 4, s: 4, j: 1, w: 3}. What is prob of picking 1 w and 3 s? 1/323 Two letters picked without replacement from oooosooooooooooooooo. Give prob of picking 2 o. 9/10 What is prob of picking 2 l when two letters picked without replacement from {s: 3, t: 1, l: 3, j: 9, b: 1, i: 2}? 1/57 Three letters picked without replacement from uue. What is prob of picking 2 u and 1 e? 1 Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {i: 2, y: 3, f: 4, w: 1, v: 2, n: 3}. 4/455 Two letters picked without replacement from xxrxxrxx. What is prob of picking 2 x? 15/28 Two letters picked without replacement from {c: 3, t: 11, q: 1}. Give prob of picking 2 c. 1/35 What is prob of picking 3 e when three letters picked without replacement from eeee? 1 What is prob of picking 1 r and 1 t when two letters picked without replacement from tfr? 1/3 Calculate prob of picking 2 u and 1 t when three letters picked without replacement from tuouzuuz. 3/28 Three letters picked without replacement from jjjjnnnnjnjjj. Give prob of picking 3 n. 5/143 Three letters picked without replacement from uunuuunn. Give prob of picking 3 u. 5/28 Calculate prob of picking 2 x and 1 t when three letters picked without replacement from {x: 2, m: 1, t: 4, v: 1}. 1/14 Two letters picked without replacement from tdd. Give prob of picking 1 t and 1 d. 2/3 Four letters picked without replacement from wlwpwplwlwwwlllww. What is prob of picking 1 w, 1 l, and 2 p? 27/1190 Four letters picked without replacement from xncclnlnncxnxcccxc. What is prob of picking 1 l, 2 x, and 1 n? 1/51 What is prob of picking 2 h when two letters picked without replacement from hhx? 1/3 Calculate prob of picking 1 z and 1 l when two letters picked without replacement from lvnnvnvmmhz. 1/55 Two letters picked without replacement from ggggggvvgggvgggggvv. What is prob of picking 2 g? 91/171 What is prob of picking 1 b and 1 z when two letters picked without replacement from {u: 5, z: 3, v: 7, f: 1, b: 2}? 2/51 Calculate prob of picking 1 p and 2 e when three letters picked without replacement from {p: 3, e: 2, b: 3, f: 1, k: 2, u: 1}. 3/220 Three letters picked without replacement from cccn. What is prob of picking 3 c? 1/4 Calculate prob of picking 2 l when two letters picked without replacement from {l: 3}. 1 Four letters picked without replacement from {d: 2, z: 6, t: 3, n: 6, o: 2}. Give prob of picking 1 t, 1 n, and 2 d. 3/646 Two letters picked without replacement from {z: 1, f: 2, l: 2}. Give prob of picking 2 f. 1/10 What is prob of picking 2 y and 1 j when three letters picked without replacement from yjyjyjjjyjj? 14/55 Three letters picked without replacement from {f: 1, a: 1, e: 3, y: 1, t: 1, h: 6}. What is prob of picking 3 e? 1/286 Three letters picked without replacement from xhxxxxxcxxcxxkxxx. What is prob of picking 2 c and 1 k? 1/680 Three letters picked without replacement from {j: 6, v: 2}. Give prob of picking 3 j. 5/14 What is prob of picking 1 c and 2 x when three letters picked without replacement from {c: 3, x: 3}? 9/20 Two letters picked without replacement from {y: 1, q: 1, h: 5, v: 2, w: 3}. Give prob of picking 2 h. 5/33 Four letters picked without replacement from {w: 3, g: 6, c: 6, k: 3}. Give prob of picking 1 k and 3 w. 1/1020 Two letters picked without replacement from {e: 4, a: 1, k: 2, n: 1}. Give prob of picking 1 n and 1 a. 1/28 Two letters picked without replacement from {k: 2, d: 4, j: 2}. What is prob of picking 2 k? 1/28 Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwwwwwwwwiww. 5/6 What is prob of picking 1 t and 2 i when three letters picked without replacement from titiiua? 6/35 What is prob of picking 1 t and 1 c when two letters picked without replacement from ccccccccctccc? 2/13 Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {m: 2, p: 11}. 11/39 Four letters picked without replacement from pppkppppkppppppppkpp. Give prob of picking 2 p and 2 k. 8/95 What is prob of picking 2 c when two letters picked without replacement from {c: 7}? 1 Calculate prob of picking 2 g when two letters picked without replacement from {k: 1, g: 2}. 1/3 Four letters picked without replacement from {k: 1, i: 10, n: 6}. What is prob of picking 1 k, 2 i, and 1 n? 27/238 Two letters picked without replacement from memmemzmzpzzezr. What is prob of picking 2 z? 2/21 Two letters picked without replacement from {j: 15, f
{ "pile_set_name": "DM Mathematics" }
be x/4 + (-135)/(-10). Solve 5*z - m = 7 for z. 4 Let i be 1/(2/(-1))*0. Suppose i = 2*l + 2*l. Solve f + l*f + 2 = 0 for f. -2 Let x(g) = -4*g**3 - 2*g**2 - g. Let s be x(-1). Suppose -j + s*j - 4*z - 24 = 0, 5*j - 55 = 5*z. Solve -j = -0*k - 5*k for k. 2 Let g be (2 - 4) + 1 + 1. Suppose g*i + 2*i = 4. Solve 0 = 2*d - i - 2 for d. 2 Suppose -g - 3*g = -2*a + 6, -3*g = -2*a + 2. Let z be g/4 - (-3 - 2). Suppose 27 = 5*f + 2*u, -3*f + z*f = -3*u + 8. Solve 0 = f*c + 26 - 1 for c. -5 Let d be (-2 - -2)/(-17 - -16). Solve 0 = -d*a + a + 4 for a. -4 Suppose v = -3*v + t + 15, 0 = 2*v - 5*t + 15. Suppose 3*q = r + q + 4, 5*q = 5*r + 20. Let i = r + 6. Solve 8 + i = v*w for w. 2 Let p be (30/9)/((-4)/(-6)). Suppose -5*c + 15 = p*a, -3*a + 2*c + 9 = -2*c. Solve 4*s + 1 + a = 0 for s. -1 Let n be 0 - -4 - (-1 + 0). Suppose -5*s = p + p - 14, -n*s + 7 = p. Solve -p + 2 = w for w. -5 Let x(h) = -h**3 + 8*h**2 - 7*h + 2. Let m(f) = -7*f. Let w be m(-1). Let s be x(w). Solve 2*z = -s*z + 12 for z. 3 Let w(x) = -2*x - 10. Let p be w(-7). Solve -5*v - p = 21 for v. -5 Let p = 16 - 11. Suppose 0 = 2*w - p*w + 9. Solve 9 = -w*i - 0 for i. -3 Suppose 0 = 2*n - 7*n. Let o(m) = 6*m**3 - 6*m + 10. Let a(s) = -s**3 + s - 1. Let p(l) = 5*a(l) + o(l). Let j be p(n). Solve -j = 2*g - 1 for g. -2 Let f(d) = 2*d**2 + 6*d. Let u be f(-4). Let y be u/3 + 2/6. Let k = 34 - 29. Solve y*j - 10 = k*j for j. -5 Let z(i) = -8*i**3 + 2*i**2 + 2*i + 1. Let g be z(-1). Let u = -2 + g. Solve 4*h = u*h - 15 for h. 5 Suppose -i - y - 1 = 0, 3*i - i + 3*y = -5. Let l be 6/(-9)*(-9)/i. Solve 0 = -5*j + l - 8 for j. -1 Suppose -5*v + 12 = -2*v. Suppose l + f = 0, 3*f - 4*f = v*l. Solve 1 + l = o for o. 1 Let m be 1/(-6) - 61/(-6). Solve 6*o - 4*o = -m for o. -5 Suppose -3*n + 15 = 0, a = -3*a + 4*n. Solve 0*h = -a*h for h. 0 Let u(q) = 1 + q**3 - 3 - 8*q + 6*q**2 - 5. Let r be u(-7). Solve 0*h + 2*h + 4 = r for h. -2 Let o(l) = l + 11. Let p be o(-5). Solve 5*w + 26 - p = 0 for w. -4 Suppose b + a = 10, -3*b + 4*a = -6*b + 32. Solve 4*c = -0*c - b for c. -2 Let z = 4 + -1. Suppose 2*d - 8 = -i, 2*i - 5*i = z*d - 18. Solve -t - i = -5 for t. 1 Suppose 0 = 3*l - 5*h, 0*l + 2*h = -l. Solve -2*f - 10 = -l for f. -5 Suppose 0*i + j = -i + 9, -j + 5 = 0. Let g be (i/(-8))/(2/(-48)). Solve 4*s - g = -0*s for s. 3 Let i = -57 - -59. Solve i*c = 4*c for c. 0 Suppose -4*j = 0, -5*w + 0*j = -j - 80. Solve w = 3*c + c for c. 4 Let o be 5 - 5 - (0 - 4). Let b be ((-2)/o)/((-3)/(-42)). Let h = -7 - b. Solve -2*m - 3*m = h for m. 0 Suppose 2*r + 2*f + 0*f = -4, r + 5*f + 18 = 0. Solve 0 = -r*p - 2*p for p. 0 Let q be ((3/(-4))/(-3))/((-1)/(-8)). Let x be (0 - 0) + 0 - -7. Suppose 2*a = -5*v + 16, -3*a - 2 = -5*v - 1. Solve q = a*b - x for b. 3 Let x be (8/10)/(10/25). Suppose 7*f - x*f - 25 = 0. Suppose f*g - 2*g + 2*a = 39, -3 = a. Solve 4*w = -w + g for w. 3 Let i(k) = k**2 - 8*k + 9. Let z = 17 - 10. Let q be i(z). Suppose 2*n - 12 = -q*n - 2*m, -5*n + 15 = 2*m. Solve -n*h = -5*h + 2 for h. 1 Suppose 5*y + 0*y = 20. Suppose 4*o = z + 12, -o - 3*o = -3*z - y. Solve 0*f = -2*f + z for f. 2 Let n be 2/(1/(86/(-4))). Let z = 68 + n. Suppose 5*r = -5*q + 5, -4*q = 3*r - 3*q - 5. Solve 3*v = -r*v - z for v. -5 Let w(m) = m + 22. Let a be w(-9). Suppose -a - 2 = -l. Let f = 0 - 0. Solve l = -f*g + 3*g for g. 5 Let y(h) = -h**2 - h - 1. Let a be y(0). Let u be 1 - a - (-2 - -1). Solve u*i + i - 12 = 0 for i. 3 Let m be 5/(25/20)*2. Solve m*h = 5*h for h. 0 Let d = -9 - -6. Let s = d + 7. Solve g + 0*g = s for g. 4 Suppose 6*x = 3*x + 51. Suppose 5*b + 3*s = x, 3*b + 1 = -s + 12. Suppose -15 = -5*f + 3*w, -b*f = -f - 3*w - 15. Solve j - 1 + f = 0 for j. 1 Suppose -1 = 3*p + 17. Let z be p/(-4)*(-4)/(-3). Solve 4 = z*s - 6 for s. 5 Suppose 3*l = 2*q + 29, -l + 2 + 25 = -5*q. Solve -1 - l = 4*p for p. -2 Let p(b) = -b**2 - 7*b - 6. Let f be p(-6). Solve 3*j + 0*j = f for j. 0 Let o = -116 + 116. Solve o*l = -l - 4 for l. -4 Suppose -15 = -2*u - 3*u. Let t = -3 + u. Suppose 4*j - 32 = -3*p, -2 = -j + 3. Solve 0 = -t*r + p*r + 4 for r. -1 Suppose -q - 6 = -y + 6, 5*y - 3*q - 52 = 0. Solve -5 = 3*o - y*o for o. 1 Suppose j = -2*b + 44, 3*b + j = 103 - 35. Let r be (-1)/((-26)/b + 1). Let k be ((-32)/r)/(2/(-3)). Solve 0 = 7*g - k*g for g. 0 Suppose -2*l + 5*l = -3*t + 18, -2*l - 16 = -5*t. Solve -2*y = -0*y - l for y. 1 Let g be 1*(7 + -4) - -2. Solve -6 = 2*k - g*k for k. 2 Suppose 10 = 5*w + 3*b, -2*b = 3*w - 3*b + 8. Let h(t) = -t + 7. Let o be h(6). Let u = o - w. Solve -u*g - 8 = -6*g for g. 2 Let j(i) = -2*i + 0 + 5 - 1 + i. Let k be 6/((-2)/8*-6). Let v be j(k). Solve v = -2*y + 3 + 3 for y. 3 Suppose 0 = -4*a + 2*n + 14, 2*a + 2*a + n = 17. Solve -8 = a*d - 0 for d. -2 Suppose 3*k = k - 3*u, 4*u + 17 = 3*k. Let y(w) = -4*w**3 + k*w**3 + w**3 - w**3 + 6*w**2 - 4*w - 2. Let i be y(5). Solve 0 = -i*t - 14 + 5 for t. -3 Suppose 136 - 146 = -5*z. Solve -3*v - 11 + z = 0 for v. -3 Suppose -5*i = 36 - 41. Solve -3 = 4*u + i for u. -1 Let x(c) = -5*c + 1. Let q(a) = 10*a - 2. Let p(f) = 2*q(f) + 5*x(f). Let m be p(-2). Solve 4 = -5*u - m for u. -3 Let j(q) = q**2 - 6*q - 5. Let x be j(7). Suppose x*l - 2 = l. Solve -2*i + i = -l for i. 2 Suppose 0 = a - 12 + 9. Solve 0 = -5*p - a - 7 for p. -2 Suppose -3*u - y = 5, -u - y - 3*y = -2. Let h be (-12)/(-5) + u/5. Suppose -79*o + 77*o = 0. Solve h*b + 3*b + 25 = o for b. -5 Let w = -2 - -3. Let t be -5*((-22)/10 + w). Let h(s) = -s**2 + 6*s + 3. Let l be h(6). Solve -x - t = -l for x. -3 Suppose -2*m - s - 35 = 0, 4*m - 2*s = -s - 73. Let g = -12 - m. Solve 5*n = -19 - g for n. -5 Let k = -27 + 33. Solve h - k = -h for h. 3 Let g(n) = -n**3 + n**2 - n + 8. Suppose 3*i = -3*c - 0*c - 3, -3*i - c - 1 = 0. Let u be g(i). Suppose 5*p - 2 = u. Solve -p = 2*l - 6 for l. 2 Suppose 5*j = -0*j. Suppose -2 = -m - j. Let l be (0 - (2 - 2))/m. Solve 0 = -h - l*h - 5 for h. -5 Suppose -4*o + 55 = o. Solve -4*f + o = -5 for f. 4 Let u be 1*(-1 - -4) - (-4 - -1). Solve -3*m = -3 - u for m. 3 Let f be (-40)/(-70) - 8/14. Solve -3*h + h = f for h. 0 Suppose -2*o - 10 = -3*p, -2*o = -p - 3*p + 14. Let y be 0*(-2 - (-3)/2). Let l be (-5)/(-2)*((-156)/5)/(-13). Solve 2*q - l*q + p = y for q. 1 Suppose 3*x = -x - 8, -5*l + 2*x + 29 = 0. Solve -l = -4*c + 9*c for c. -1 Let g be (-1)/2*-1*(3 - 3). Solve 4*p + g*p - 12 = 0 for p. 3 Let k be (2 - 3)*(0 + 0). Solve k = 2*h - 5*h + 6 for h. 2 Let y = -4 + 4. Solve b + y*b = 0 for b. 0 Let d be -2 - (-2 + 1 + -4). Solve 4 = -p - d*p for p. -1 Let x be 12/66 - 31/(-11). Let u(w) = w**2 + 6*w + 2. Let b be u(-7). Solve 0*r = x*r - b for r. 3 Let j be (-180)/(-99) + (-4)/44*-2. Solve 9 = j*h + h for h. 3 Let q(n) = 3*n**3 - 3*n**2 + 2*n - 1. Let r be q(1). Solve -t - r + 0 = 0 for t. -1 Suppose 0 = 5*f - 3*j - 34, f - 5*j = 4*f. Solve f*p - 16 = -1 for p. 3 Let a = -17 + 7. Let k = a - -25. Solve 3*h = -0*h - k for h. -5 Let w(f) = f**3 + 7*f**2 - 10*f - 11. Let v be w(-8). Solve -v*s + s - 12 = 0 for s. -3 Suppose 0 = -0*w - 2*w. Suppose 0 = 2*d - w*d. Suppose 0*i = -5*i + 15. Solve i*m + 3 = -d*m for m. -1 Let k = -69 - -72. Solve k*h + 9 = -0*h for h. -3 Let z be ((-11)/(44/(-56)))/2. Solve z + 9 = -4*p for p. -4 Suppose 13*v - 10 = 8*v. Suppose -v*l = l - 12. Solve -4 = 2*c - l*c for c. 2 Let t(z) be the second derivative of z**3/2 - 15*z**2/2 + 6*z. Let w be t(7). Solve w*y - 3*y = 0 for y. 0 Suppose 2*l + 5*z = -4 + 39, 0 = -4*l + 3*z + 83. Solve -i - 4*i + l = 0 for i. 4 Let x be ((-6)/(-7))/(2/(112/8)). Solve -3*i = -x + 18 for i. -4 Let l be (1/(-3))/(1/(-12)). Let a be 17 - (3/3 - l). Solve 7*b - a = 2*b for b. 4 Suppose 4*j = 2*j - 22. Let x be j*(0 - (3 + -2)). Let q = -1 - -5. Solve 5*g + q = -x for g. -3 Let r(y) = y**3 - 4*y**2 + 4*y. Let x(i) = i**3 - 7*i**2 - 7*i - 5. Let o be x(8). Let d be r(o). Solve d + 2 = s for s. 5 Let w = 8 - 8. Suppose -p = -5*n + 10 + 11, -p = 1. Suppose f + n = 3*f. Solve w*y = -2*y + f for y. 1 Let m = 120 + -116. Solve -m - 6 = -2*s for s. 5 Let n be 0/(-5) - (-1)/(-1). Let i = 1 - n. Solve i*t - 3*t - 1 = 0 for t. -1 Suppose 24 - 6 = 2*r. Solve 2*t = 5*t + r for t. -3 Let b be ((-102)/(-12))/((-1)/(-2)). Solve 0 = -3*a - b + 2 for a. -5 Let o be -3 + (-32)/(-4) + 2. Suppose -3*k = -o*k. Solve
{ "pile_set_name": "DM Mathematics" }
inutes are there between 3:50 AM and 1:39 PM? 589 How many minutes are there between 2:33 AM and 3:06 AM? 33 How many minutes are there between 10:37 PM and 1:11 AM? 154 What is 260 minutes after 1:54 AM? 6:14 AM What is 691 minutes before 7:09 PM? 7:38 AM How many minutes are there between 6:22 AM and 5:22 PM? 660 What is 404 minutes before 7:16 AM? 12:32 AM What is 337 minutes before 8:38 AM? 3:01 AM How many minutes are there between 12:04 AM and 2:49 AM? 165 How many minutes are there between 8:36 PM and 11:28 PM? 172 What is 559 minutes after 12:17 PM? 9:36 PM What is 149 minutes after 11:04 AM? 1:33 PM What is 309 minutes before 4:11 PM? 11:02 AM How many minutes are there between 9:17 PM and 2:49 AM? 332 What is 327 minutes before 12:34 PM? 7:07 AM What is 610 minutes after 11:20 AM? 9:30 PM What is 48 minutes after 7:35 PM? 8:23 PM What is 117 minutes after 4:03 PM? 6:00 PM How many minutes are there between 1:07 PM and 11:31 PM? 624 What is 67 minutes before 10:28 PM? 9:21 PM How many minutes are there between 6:04 AM and 11:48 AM? 344 How many minutes are there between 11:33 PM and 12:49 AM? 76 What is 71 minutes after 9:51 AM? 11:02 AM How many minutes are there between 8:09 PM and 3:21 AM? 432 What is 504 minutes before 4:31 PM? 8:07 AM How many minutes are there between 1:35 PM and 5:45 PM? 250 What is 514 minutes after 11:54 PM? 8:28 AM What is 508 minutes after 9:30 PM? 5:58 AM What is 610 minutes before 4:09 AM? 5:59 PM How many minutes are there between 11:46 AM and 11:48 AM? 2 What is 153 minutes before 10:18 AM? 7:45 AM What is 240 minutes before 8:24 PM? 4:24 PM What is 240 minutes after 11:43 AM? 3:43 PM What is 676 minutes after 1:36 AM? 12:52 PM How many minutes are there between 1:40 AM and 8:52 AM? 432 How many minutes are there between 5:18 AM and 5:58 AM? 40 How many minutes are there between 3:10 PM and 7:36 PM? 266 How many minutes are there between 2:53 PM and 2:10 AM? 677 How many minutes are there between 6:54 PM and 2:22 AM? 448 How many minutes are there between 9:15 PM and 1:12 AM? 237 How many minutes are there between 8:56 AM and 1:39 PM? 283 What is 317 minutes before 5:21 PM? 12:04 PM What is 665 minutes before 11:11 PM? 12:06 PM What is 266 minutes before 8:22 PM? 3:56 PM How many minutes are there between 6:06 PM and 3:51 AM? 585 What is 670 minutes before 8:38 PM? 9:28 AM How many minutes are there between 4:08 AM and 7:01 AM? 173 What is 508 minutes after 6:14 PM? 2:42 AM What is 92 minutes before 4:45 AM? 3:13 AM How many minutes are there between 3:20 AM and 5:52 AM? 152 How many minutes are there between 5:21 PM and 1:42 AM? 501 How many minutes are there between 1:58 PM and 4:14 PM? 136 What is 485 minutes before 8:32 PM? 12:27 PM What is 172 minutes before 8:16 AM? 5:24 AM How many minutes are there between 4:22 PM and 6:17 PM? 115 How many minutes are there between 9:56 AM and 12:20 PM? 144 What is 289 minutes after 11:40 AM? 4:29 PM How many minutes are there between 1:25 AM and 1:05 PM? 700 How many minutes are there between 4:05 PM and 7:34 PM? 209 What is 549 minutes after 3:08 PM? 12:17 AM What is 167 minutes before 12:56 AM? 10:09 PM What is 406 minutes before 7:00 AM? 12:14 AM How many minutes are there between 1:22 PM and 11:53 PM? 631 What is 605 minutes after 6:34 PM? 4:39 AM How many minutes are there between 2:17 AM and 11:45 AM? 568 How many minutes are there between 12:40 PM and 10:12 PM? 572 What is 691 minutes after 5:06 PM? 4:37 AM What is 700 minutes before 7:00 PM? 7:20 AM What is 470 minutes before 7:30 AM? 11:40 PM What is 59 minutes after 8:10 AM? 9:09 AM What is 682 minutes before 3:12 PM? 3:50 AM How many minutes are there between 2:33 AM and 11:50 AM? 557 How many minutes are there between 10:18 PM and 11:46 PM? 88 What is 322 minutes before 3:29 PM? 10:07 AM What is 641 minutes before 7:50 PM? 9:09 AM How many minutes are there between 11:52 PM and 11:36 AM? 704 How many minutes are there between 12:16 AM and 10:40 AM? 624 What is 470 minutes before 9:42 AM? 1:52 AM What is 104 minutes before 12:40 AM? 10:56 PM How many minutes are there between 11:53 AM and 3:51 PM? 238 What is 279 minutes before 5:10 AM? 12:31 AM How many minutes are there between 8:31 PM and 1:24 AM? 293 How many minutes are there between 5:29 PM and 5:13 AM? 704 What is 697 minutes before 2:48 AM? 3:11 PM What is 641 minutes after 2:00 AM? 12:41 PM What is 279 minutes after 7:16 AM? 11:55 AM What is 132 minutes after 7:26 PM? 9:38 PM How many minutes are there between 1:48 PM and 12:48 AM? 660 What is 76 minutes before 3:58 AM? 2:42 AM How many minutes are there between 1:42 PM and 7:14 PM? 332 What is 386 minutes after 4:30 PM? 10:56 PM What is 421 minutes after 1:21 AM? 8:22 AM How many minutes are there between 1:09 PM and 5:58 PM? 289 How many minutes are there between 5:49 PM and 3:37 AM? 588 What is 535 minutes after 10:17 AM? 7:12 PM What is 97 minutes before 1:49 PM? 12:12 PM How many minutes are there between 11:11 PM and 10:21 AM? 670 How many minutes are there between 9:19 PM and 4:03 AM? 404 What is 543 minutes after 4:47 AM? 1:50 PM How many minutes are there between 6:54 PM and 3:31 AM? 517 How many minutes are there between 5:16 PM and 8:06 PM? 170 What is 492 minutes after 12:20 PM? 8:32 PM How many minutes are there between 9:56 AM and 7:15 PM? 559 What is 111 minutes before 2:44 AM? 12:53 AM How many minutes are there between 5:38 AM and 4:08 PM? 630 What is 244 minutes before 4:29 PM? 12:25 PM How many minutes are there between 11:35 AM and 12:37 PM? 62 How many minutes are there between 2:49 AM and 5:04 AM? 135 What is 251 minutes after 7:40 PM? 11:51 PM How many minutes are there between 11:48 PM and 10:43 AM? 655 What is 700 minutes after 10:15 PM? 9:55 AM What is 145 minutes after 10:43 AM? 1:08 PM How many minutes are there between 4:18 AM and 9:45 AM? 327 How many minutes are there between 5:53 PM and 8:10 PM? 137 What is 385 minutes before 1:19 AM? 6:54 PM How many minutes are there between 11:54 AM and 10:30 PM? 636 How many minutes are there between 6:53 PM and 6:55 PM? 2 What is 4 minutes after 7:48 PM? 7:52 PM How many minutes are there between 4:25 AM and 5:00 AM? 35 What is 255 minutes before 8:03 AM? 3:48 AM What is 173 minutes after 3:46 AM? 6:39 AM What is 295 minutes after 1:28 PM? 6:23 PM How many minutes are there between 7:54 PM and 5:13 AM? 559 What is 454 minutes after 12:57 AM? 8:31 AM What is 634 minutes before 12:06 AM? 1:32 PM How many minutes are there between 2:05 AM and 2:09 AM? 4 How many minutes are there between 8:32 PM and 6:57 AM? 625 How many minutes are there between 3:14 PM and 5:59 PM? 165 How many minutes are there between 3:04 PM and 1:38 AM? 634 How many minutes are there between 12:43 PM and 3:49 PM? 186 What is 42 minutes before 6:54 PM? 6:12 PM What is 123 minutes before 6:43 PM? 4:40 PM How many minutes are there between 12:50 AM and 9:02 AM? 492 What is 237 minutes before 7:38 PM? 3:41 PM What is 655 minutes before 12:43 AM? 1:48 PM How many minutes are there between 5:29 PM and 3:13 AM? 584 What is 418 minutes after 9:36 AM? 4:34 PM What is 251 minutes after 7:18 AM? 11:29 AM What is 132 minutes before 11:40 AM? 9:28 AM What is 665 minutes after 10:05 PM? 9:10 AM What is 60 minutes after 4:34 AM? 5:34 AM How many minutes are there between 10:43 AM and 7:10 PM? 507 How many minutes are there between 6:13 AM and 4:41 PM? 628 What is 207 minutes before 8:23 AM? 4:56 AM How many minutes are there between 8:13 PM and 7:43 AM? 690 What is 538 minutes before 4:51 PM? 7:53 AM How many minutes are there between 7:42 PM and 6:21 AM? 639 What is 144 minutes before 7:48 PM? 5:24 PM What is 14 minutes after 2:29 PM? 2:43 PM How many minutes are there between 1:36 PM and 2:32 PM? 56 What is 446 minutes before 9:13 PM? 1:47 PM What is 672 minutes after 12:26 PM? 11:38 PM How many minutes are there between 6:24 AM and 7:14 AM? 50 How many minutes are there between 4:50 AM and 9:10 AM? 260 What is 539 minutes after 3:21 AM? 12:20 PM What is 40 minutes after 5:34 AM? 6:14 AM What is 538 minutes before 6:31 AM? 9:33 PM What is 707 minutes after 5:57 PM? 5:44 AM How many minutes are there between 8:07 PM and 5:16 AM? 549 What is 305 minutes before 4
{ "pile_set_name": "DM Mathematics" }
ment from {g: 2, s: 1}. 1/3 Two letters picked without replacement from onmonnmmnnmooofmp. Give prob of sequence mf. 5/272 Calculate prob of sequence tv when two letters picked without replacement from {h: 2, v: 4, t: 5, e: 1, q: 1, r: 7}. 1/19 Calculate prob of sequence vqh when three letters picked without replacement from eveevqhheeqqeeeh. 3/560 What is prob of sequence yb when two letters picked without replacement from {b: 1, a: 7, i: 3, y: 3}? 3/182 What is prob of sequence ecd when three letters picked without replacement from {c: 6, d: 2, g: 1, u: 1, e: 3, q: 2}? 6/455 Calculate prob of sequence uyyj when four letters picked without replacement from xubyjxuyxyy. 1/330 Calculate prob of sequence zjz when three letters picked without replacement from jkzpzlk. 1/105 Calculate prob of sequence xx when two letters picked without replacement from lxuaixl. 1/21 Three letters picked without replacement from {q: 3, k: 5, c: 1}. Give prob of sequence cqq. 1/84 Calculate prob of sequence laaa when four letters picked without replacement from caalaaalaoallcaloao. 35/1292 What is prob of sequence qet when three letters picked without replacement from eceeecqtqeeecceetcqt? 9/760 Calculate prob of sequence patn when four letters picked without replacement from arpnccta. 1/840 What is prob of sequence nc when two letters picked without replacement from cmbonmnnooonbotco? 1/34 Four letters picked without replacement from fvftfdd. What is prob of sequence tvfd? 1/140 Four letters picked without replacement from {e: 6, u: 3, l: 1, j: 5, f: 2, b: 3}. Give prob of sequence luue. 1/3230 Calculate prob of sequence mmmm when four letters picked without replacement from mmmmmmm. 1 Calculate prob of sequence lb when two letters picked without replacement from bllnklkknl. 2/45 What is prob of sequence kk when two letters picked without replacement from {c: 6, u: 2, k: 7, h: 2, b: 1}? 7/51 Three letters picked without replacement from padpahaahpappaaaahhh. What is prob of sequence hph? 5/342 Calculate prob of sequence emwm when four letters picked without replacement from meeewmmemwemmmewmme. 21/1292 Calculate prob of sequence fff when three letters picked without replacement from fxxxfxxfxxxxxxxx. 1/560 Two letters picked without replacement from ekkkdkfkk. What is prob of sequence kf? 1/12 Three letters picked without replacement from vvdxvvvacvvdxac. What is prob of sequence ddx? 2/1365 Three letters picked without replacement from {v: 2, h: 1, l: 3, r: 1, a: 6, f: 2}. Give prob of sequence avl. 6/455 Four letters picked without replacement from otofpoioiohtttfoopti. Give prob of sequence fttt. 1/969 Four letters picked without replacement from ihvjn. Give prob of sequence injh. 1/120 What is prob of sequence cjvy when four letters picked without replacement from {c: 9, j: 2, v: 1, y: 2}? 3/2002 Two letters picked without replacement from fxsgf. Give prob of sequence xf. 1/10 Two letters picked without replacement from iixlqim. What is prob of sequence xm? 1/42 What is prob of sequence rr when two letters picked without replacement from vgbregr? 1/21 Three letters picked without replacement from ebtbbtbftfbtbtkk. Give prob of sequence fbb. 1/56 Calculate prob of sequence dxxa when four letters picked without replacement from daaadaxdxaaa. 7/1980 Calculate prob of sequence ete when three letters picked without replacement from {e: 4, t: 2}. 1/5 What is prob of sequence tq when two letters picked without replacement from {p: 3, e: 1, q: 5, t: 3}? 5/44 What is prob of sequence uu when two letters picked without replacement from {u: 2, h: 2, v: 1, w: 1, a: 1, e: 1}? 1/28 What is prob of sequence yay when three letters picked without replacement from {a: 2, y: 9}? 8/55 Four letters picked without replacement from uklejueeuk. What is prob of sequence jkek? 1/840 Calculate prob of sequence xddb when four letters picked without replacement from bxbbxdbbdxxxxxxbd. 3/595 Two letters picked without replacement from {i: 4, s: 7, c: 5, x: 3}. What is prob of sequence ii? 2/57 What is prob of sequence wra when three letters picked without replacement from {e: 4, s: 4, w: 1, r: 1, q: 1, a: 3}? 1/728 Three letters picked without replacement from gggdggdgg. Give prob of sequence gdd. 1/36 Three letters picked without replacement from {e: 6, f: 3, j: 4, l: 2}. Give prob of sequence lej. 8/455 Two letters picked without replacement from mmzmf. Give prob of sequence zf. 1/20 Four letters picked without replacement from ebeeehheb. What is prob of sequence ehee? 5/126 Two letters picked without replacement from {a: 7, h: 6, g: 6}. What is prob of sequence ag? 7/57 Calculate prob of sequence oj when two letters picked without replacement from {j: 2, d: 1, o: 1, q: 1, x: 2, g: 1}. 1/28 Calculate prob of sequence hh when two letters picked without replacement from {y: 3, h: 9}. 6/11 Four letters picked without replacement from {a: 3, f: 3}. What is prob of sequence affa? 1/10 Two letters picked without replacement from vhhvvhgvbhv. Give prob of sequence hh. 6/55 What is prob of sequence ke when two letters picked without replacement from {v: 7, k: 2, q: 1, e: 6, a: 1}? 3/68 Calculate prob of sequence acca when four letters picked without replacement from aacacaacacaaccccac. 6/85 What is prob of sequence ecyc when four letters picked without replacement from cfyescccefyyffcff? 1/476 Two letters picked without replacement from {u: 2, t: 1, o: 1}. Give prob of sequence uo. 1/6 Four letters picked without replacement from sjjs. What is prob of sequence jssj? 1/6 What is prob of sequence oqoy when four letters picked without replacement from yyyyoyooyoyyyqyiqoqy? 11/1938 Four letters picked without replacement from ssssrsrsrsssrr. What is prob of sequence srss? 15/143 Four letters picked without replacement from {r: 5, y: 5}. What is prob of sequence yyrr? 5/63 What is prob of sequence bzi when three letters picked without replacement from mbzim? 1/60 Three letters picked without replacement from {h: 6, r: 1, v: 2, e: 3, s: 3}. Give prob of sequence evr. 1/455 Two letters picked without replacement from cccfcffffffccc. Give prob of sequence cc. 3/13 Calculate prob of sequence ejhp when four letters picked without replacement from hyjprypee. 1/756 What is prob of sequence bb when two letters picked without replacement from {j: 2, b: 10, a: 6}? 5/17 Calculate prob of sequence bbm when three letters picked without replacement from {m: 3, b: 3, r: 3, h: 6}. 3/455 Three letters picked without replacement from {i: 2, d: 1, h: 1, m: 1, j: 1, p: 2}. What is prob of sequence ppi? 1/84 Calculate prob of sequence ux when two letters picked without replacement from xxppuppppppxppppp. 3/272 Two letters picked without replacement from hhfffhaf. Give prob of sequence ah. 3/56 What is prob of sequence br when two letters picked without replacement from brbrrrb? 2/7 What is prob of sequence ywrr when four letters picked without replacement from {r: 2, y: 1, w: 1}? 1/12 What is prob of sequence eg when two letters picked without replacement from {g: 2, e: 2}? 1/3 Four letters picked without replacement from oxrzxiiarzxz. Give prob of sequence riiz. 1/990 Four letters picked without replacement from prprprpprp. What is prob of sequence rprr? 1/35 Four letters picked without replacement from kjkkvvjkkkkkk. Give prob of sequence kkvv. 6/715 What is prob of sequence wm when two letters picked without replacement from {i: 2, u: 1, w: 1, m: 1}? 1/20 What is prob of sequence xtxi when four letters picked without replacement from {t: 1, r: 2, x: 3, i: 1}? 1/140 Three letters picked without replacement from ttltlttl. What is prob of sequence ttt? 5/28 Four letters picked without replacement from rrgjt. Give prob of sequence gjrr. 1/60 Four letters picked without replacement from uucuyjj. Give prob of sequence ucjj. 1/140 Calculate prob of sequence cccc when four letters picked without replacement from cceeeckceckc. 1/33 Four letters picked without replacement from {h: 8, z: 2, a: 2}. Give prob of sequence hahh. 28/495 Two letters picked without replacement from uuuuiptuuppuuuppp. Give prob of sequence up. 27/136 Two letters picked without replacement from {m: 8, d: 1, j: 2, k: 4}. What is prob of sequence jd? 1
{ "pile_set_name": "DM Mathematics" }
-4918, -7416? -2498*o + 78 What is the f'th term of 3889, 3906, 3921, 3934, 3945, 3954, 3961? -f**2 + 20*f + 3870 What is the g'th term of -2209, -8839, -19873, -35299, -55105, -79279? 2*g**3 - 2214*g**2 - 2*g + 5 What is the f'th term of -5820, -6091, -6542, -7173? -90*f**2 - f - 5729 What is the i'th term of 1152, 4485, 10002, 17703, 27588, 39657, 53910? 1092*i**2 + 57*i + 3 What is the g'th term of -3711, -3707, -3703, -3699, -3695? 4*g - 3715 What is the p'th term of -63800, -63793, -63774, -63737, -63676, -63585, -63458? p**3 - 63801 What is the z'th term of -879, -848, -785, -678, -515, -284? 2*z**3 + 4*z**2 + 5*z - 890 What is the u'th term of -22268, -44581, -66894, -89207? -22313*u + 45 What is the a'th term of -21952, -43882, -65812, -87742? -21930*a - 22 What is the l'th term of 240, 454, 648, 822? -10*l**2 + 244*l + 6 What is the z'th term of 3325, 3323, 3329, 3349, 3389, 3455? z**3 - 2*z**2 - 3*z + 3329 What is the w'th term of -1786, -1785, -1782, -1777, -1770, -1761? w**2 - 2*w - 1785 What is the v'th term of 156, 595, 1330, 2367, 3712? v**3 + 142*v**2 + 6*v + 7 What is the z'th term of -97312, -97307, -97302, -97297, -97292? 5*z - 97317 What is the s'th term of -7408, -7563, -7718, -7873, -8028, -8183? -155*s - 7253 What is the n'th term of -138, -116, -80, -24, 58? n**3 + n**2 + 12*n - 152 What is the a'th term of 3098558, 3098559, 3098560, 3098561, 3098562, 3098563? a + 3098557 What is the k'th term of -431018, -431017, -431016? k - 431019 What is the c'th term of 29063, 58112, 87147, 116168, 145175, 174168? -7*c**2 + 29070*c What is the n'th term of 142807, 285605, 428403, 571201, 713999, 856797? 142798*n + 9 What is the c'th term of 14355, 28699, 43043, 57387, 71731, 86075? 14344*c + 11 What is the m'th term of -4273, -4208, -4035, -3700, -3149, -2328, -1183, 340? 9*m**3 + 2*m - 4284 What is the f'th term of 5904, 5862, 5820, 5778, 5736? -42*f + 5946 What is the x'th term of -406702, -406707, -406712, -406717, -406722, -406727? -5*x - 406697 What is the w'th term of 174, 206, 264, 348, 458? 13*w**2 - 7*w + 168 What is the n'th term of 8, -53, -226, -571, -1148, -2017, -3238, -4871? -10*n**3 + 4*n**2 - 3*n + 17 What is the j'th term of -617, -1680, -3203, -5192, -7653, -10592, -14015? -j**3 - 224*j**2 - 384*j - 8 What is the l'th term of 10232, 10253, 10288, 10337? 7*l**2 + 10225 What is the r'th term of 27574, 27572, 27570, 27568? -2*r + 27576 What is the p'th term of 4011, 4004, 3997? -7*p + 4018 What is the i'th term of -96309, -96265, -96221, -96177, -96133? 44*i - 96353 What is the r'th term of 369, 561, 749, 933, 1113, 1289, 1461? -2*r**2 + 198*r + 173 What is the q'th term of 900, 927, 952, 975? -q**2 + 30*q + 871 What is the k'th term of 9060, 9061, 9062, 9063, 9064, 9065? k + 9059 What is the o'th term of -286510, -286503, -286494, -286483, -286470, -286455, -286438? o**2 + 4*o - 286515 What is the b'th term of -147, -153, -175, -213, -267, -337? -8*b**2 + 18*b - 157 What is the a'th term of 166, 1360, 4628, 11008, 21538? 173*a**3 - a**2 - 14*a + 8 What is the t'th term of 166, 535, 1146, 1999, 3094? 121*t**2 + 6*t + 39 What is the s'th term of -15541, -15504, -15467, -15430, -15393? 37*s - 15578 What is the n'th term of 425, 1324, 2223, 3122, 4021? 899*n - 474 What is the f'th term of -713, -766, -821, -878, -937, -998, -1061? -f**2 - 50*f - 662 What is the j'th term of 655546, 655545, 655544, 655543? -j + 655547 What is the y'th term of 686, 1426, 2222, 3080, 4006, 5006? y**3 + 22*y**2 + 667*y - 4 What is the o'th term of -159, -397, -801, -1377, -2131, -3069, -4197, -5521? -o**3 - 77*o**2 - 81 What is the f'th term of -2431, -4941, -7451, -9961, -12471, -14981? -2510*f + 79 What is the j'th term of -72, -101, -112, -99, -56, 23, 144? j**3 + 3*j**2 - 45*j - 31 What is the l'th term of -2175, -5134, -8093? -2959*l + 784 What is the c'th term of -1103, -902, -701, -500? 201*c - 1304 What is the h'th term of 3824, 3883, 3942? 59*h + 3765 What is the c'th term of -600, -591, -570, -531, -468, -375? c**3 + 2*c - 603 What is the k'th term of -4572, -9143, -13714, -18285, -22856, -27427? -4571*k - 1 What is the s'th term of -87857, -87860, -87865, -87872, -87881, -87892? -s**2 - 87856 What is the f'th term of -38, 47, 214, 463, 794, 1207? 41*f**2 - 38*f - 41 What is the u'th term of -32, -82, -132, -182, -232, -282? -50*u + 18 What is the s'th term of -256, -2068, -7024, -16702, -32680, -56536, -89848? -263*s**3 + 6*s**2 + 11*s - 10 What is the r'th term of -25788, -25783, -25776, -25767? r**2 + 2*r - 25791 What is the s'th term of 241, -304, -849? -545*s + 786 What is the u'th term of -422, -824, -1220, -1610, -1994, -2372? 3*u**2 - 411*u - 14 What is the i'th term of -13, -77, -251, -589, -1145, -1973? -9*i**3 - i**2 + 2*i - 5 What is the r'th term of -11331, -22634, -33937, -45240, -56543, -67846? -11303*r - 28 What is the t'th term of 409, 1651, 3731, 6655, 10429, 15059, 20551, 26911? t**3 + 413*t**2 - 4*t - 1 What is the y'th term of 24202, 24212, 24222, 24232, 24242, 24252? 10*y + 24192 What is the f'th term of -34505, -34490, -34451, -34376, -34253, -34070, -33815, -33476? 2*f**3 + f - 34508 What is the d'th term of 2029, 1971, 1755, 1303, 537, -621, -2249, -4425? -13*d**3 - d**2 + 36*d + 2007 What is the k'th term of 2685, 5372, 8035, 10668, 13265, 15820, 18327, 20780? -k**3 - 6*k**2 + 2712*k - 20 What is the y'th term of -62880, -62879, -62876, -62871? y**2 - 2*y - 62879 What is the c'th term of -1672, -3339, -5006, -6673? -1667*c - 5 What is the d'th term of 153950, 307920, 461890, 615860, 769830, 923800? 153970*d - 20 What is the k'th term of 4518, 4517, 4516, 4515, 4514, 4513? -k + 4519 What is the w'th term of -1086, -2811, -4540, -6273? -2*w**2 - 1719*w + 635 What is the m'th term of -12485, -12493, -12503, -12515, -12529? -m**2 - 5*m - 12479 What is the n'th term of -17, -52, -113, -200, -313, -452, -617? -13*n**2 + 4*n - 8 What is the q'th term of 158, 1261, 4266, 10133, 19822? 160*q**3 - 9*q**2 + 10*q - 3 What is the n'th term of -231, -334, -507, -750? -35*n**2 + 2*n - 198 What is the r'th term of -111, -227, -371, -543, -743, -971? -14*r**2 - 74*r - 23 What is the o'th term of 76859, 76851, 76845, 76841, 76839, 76839? o**2 - 11*o + 76869 What is the w'th term of 10742, 21487, 32232, 42977, 53722? 10745*w - 3 What is the y'th term of 18123, 36238, 54353, 72468? 18115*y + 8 What is the f'th term of 3037, 3024, 3011? -13*f + 3050 What is the d'th term of 404618, 404614, 404610, 404606, 404602? -4*d + 404622 What is the h'th term of -1201, -4613, -10301, -18265, -28505, -41021, -55813? -1138*h**2 + 2*h - 65 What is the f'th term of 25340, 50885, 76446, 102029, 127640, 153285? f**3 + 2*f**2 + 25532*f - 195 What is the p'th term of -2292, -4566, -6840? -2274*p - 18 What is the u'th term of 1425, 2788, 4079, 5262, 6301? -6*u**3 + 1405*u + 26 What is the i'th term of -959, -955, -957, -965, -979? -3*i**2 + 13*i - 969 What is the x'th term of -459, -3608, -12161, -28824, -56303, -97304, -154533, -230696? -451*x**3 + 4*x**2 - 4*x - 8 What is the q'th term of 582, 538, 452, 306, 82, -238, -672, -1238? -3*q**3 - 3*q**2 - 14*q + 602 What is the o'th term of -6970, -6656, -6342, -6028, -5714? 314*o - 7284 What is the w'th term of -10053, -20100, -30147, -40194? -10047*w - 6 What is the b'th term of 552, 2223, 5010, 8913, 13932, 20067, 27318? 558*b**2 - 3*b - 3 What is the r'th term of -161612, -161633, -161660, -161687, -161708, -161717, -161708? r**3 - 9*r**2 - r - 161603 What is the q'th term of -12752, -12703, -12622, -12509, -12364, -12187? 16*q**2 + q - 12769 What is the o'th term of -13, -78, -205, -412, -717, -1138, -1693, -2400? -3*o**3 - 13*o**2 - 5*o + 8 What is the s'th term of -117, -165, -245, -357, -501, -677, -885? -16*s**2 - 101 What is the a'th term of 662459, 1324921, 1987383, 2649845? 662462*a - 3 What is the w'th term of -192, -221, -250? -29*w - 163 What is the n'th term of -156, -165, -98, 111, 528, 1219, 2250? 11*n**3 - 28*n**2 - 2*n - 137 What is the d'th term of -5922, -11849, -17780, -23715? -2*d**2 - 5921*d + 1 What is the q'th term of 1716063, 3432126, 5148189, 6864252, 8580315, 10296378? 1716063*q What is the u'th term of 3873, 3878, 3893, 3924, 3977, 4058? u**3 - u**2 + u + 3872 W
{ "pile_set_name": "DM Mathematics" }
440. Determine f(1). 35 Let g(m) = -5062*m + 10574. What is g(2)? 450 Let t(q) = -246*q + 49947. Give t(203). 9 Let y(s) = 32995380*s - 65990764. Calculate y(2). -4 Let z(l) = -8*l**2 - 267*l - 1962. What is z(-28)? -758 Let u(h) = -h**3 + 140*h**2 + 1504*h - 608. Calculate u(150). -8 Let y(b) = -10953*b - 1862003. Determine y(-170). 7 Let g(p) = p**2 + 571*p + 32900. What is g(-65)? 10 Let j(s) = -381232*s - 381238. What is j(-1)? -6 Let l(n) = 7*n**2 - 2092*n + 40056. Determine l(19). 2835 Let j(q) = -10139*q - 578013. What is j(-57)? -90 Let h(v) = -141*v - 13083. Give h(-75). -2508 Let p(i) = -7*i**3 + 1787*i**2 - 511*i + 269. Calculate p(255). 14 Let g(a) = -66958*a - 334921. What is g(-5)? -131 Let t(w) = 917*w - 297276. Determine t(324). -168 Let r(h) = -3*h**3 + 107*h**2 + 238*h + 105. Determine r(39). -5823 Let z(v) = -8084*v - 5036339. What is z(-623)? -7 Let t(z) = -2*z**3 - 86*z**2 + 305*z + 1328. Calculate t(-46). -6 Let f(h) = 2*h**3 + 57*h**2 + 972*h + 20024. Calculate f(-25). 99 Let k(t) = -43405*t + 86804. What is k(2)? -6 Let h(p) = -154613*p - 1082398. What is h(-7)? -107 Let b(j) = -4*j**2 + 116*j + 407. What is b(-18)? -2977 Let m(q) = -2*q**3 - 45*q**2 + 170*q + 1276. What is m(-25)? 151 Let r(o) = -39*o**2 + 595*o + 1793. Calculate r(-3). -343 Let r(w) = -w**3 + 25*w**2 - 32*w - 174. Calculate r(22). 574 Let g(l) = -4*l**3 - 10*l**2 + 25*l + 105. What is g(-8)? 1313 Let z(p) = -2*p**3 + 55*p**2 - 114*p - 2124. Calculate z(23). 15 Let z(w) = 2*w**3 - 284*w**2 + 2155*w - 1277. Calculate z(134). 197 Let p(r) = -2*r**3 - 34*r**2 + 29*r - 410. What is p(-19)? 483 Let o(x) = x**3 + 2*x**2 - 94*x + 239. Calculate o(7). 22 Let q(f) = 823*f**2 - 3306*f + 7. Give q(4). -49 Let a(u) = u**2 - 344*u + 28289. Determine a(136). 1 Let j(h) = 87*h**2 + 498*h - 40. Give j(-4). -640 Let a(y) = -3510*y + 31628. Give a(9). 38 Let g(n) = -4*n**2 - 13*n + 218. Determine g(13). -627 Let j(l) = -8*l**2 - 108*l + 705. Determine j(7). -443 Let a(j) = -1765*j - 679602. Calculate a(-385). -77 Let k(u) = 2*u**3 - 49*u**2 - 1376*u - 1281. Give k(-16). -1 Let k(s) = 11*s**2 + 4779*s + 33496. What is k(-7)? 582 Let v(i) = -i**3 - 25*i**2 + 36*i + 35. Determine v(-24). -1405 Let t(s) = 160656*s + 321326. Calculate t(-2). 14 Let m(r) = r**2 + 256334*r + 2306924. Give m(-9). -1 Let t(g) = -50*g - 340. Give t(-31). 1210 Let v(n) = n**3 + 211*n**2 - 648*n - 47190. Determine v(-213). 96 Let b(t) = -9*t**3 + 209*t**2 - 1226*t - 3. Calculate b(6). -1779 Let a(b) = -15*b**2 - 199*b - 1839. Calculate a(-9). -1263 Let k(i) = 161*i**2 - 20622*i - 18973. What is k(129)? -10 Let a(u) = -4543*u - 58347. What is a(-13)? 712 Let s(j) = -8*j**2 - 36*j - 281. Calculate s(-15). -1541 Let s(i) = 103*i**2 - 481*i + 15. Calculate s(4). -261 Let j(v) = 66246*v + 463798. Determine j(-7). 76 Let j(k) = -9940*k - 119290. Determine j(-12). -10 Let l(w) = -146*w**3 + 373*w**2 - 17*w + 52. Determine l(3). -584 Let q(z) = -285*z - 40733. What is q(-143)? 22 Let k(z) = -29044*z + 1452133. Determine k(50). -67 Let a(s) = 19028*s - 247383. What is a(13)? -19 Let l(i) = -6894*i - 1882118. Give l(-273). -56 Let d(v) = -2*v**3 - 10*v**2 - 33*v - 49. What is d(-4)? 51 Let d(h) = -h**3 + 65*h**2 - 140*h + 12. Give d(63). -870 Let r(b) = b**3 + 139*b**2 + 1958*b + 172602. Determine r(-134). 10 Let o(v) = -851*v - 13056. What is o(-15)? -291 Let l(x) = 81*x**3 - 647*x**2 + 4*x - 22. Give l(8). 74 Let f(v) = -4319*v - 24652. Determine f(-6). 1262 Let k(c) = -6*c**3 - 252*c**2 + 1023*c + 5. Determine k(4). -319 Let q(n) = n**2 + 84775*n + 254314. Determine q(-3). -2 Let h(g) = 21*g**2 + 392047*g + 392046. Calculate h(-1). 20 Let w(y) = 36128*y - 650204. What is w(18)? 100 Let i(l) = 2526*l - 105874. Determine i(42). 218 Let v(c) = -3*c**2 - 110*c + 11684. Calculate v(-83). 147 Let y(a) = -103*a**2 - 1439*a + 40. Give y(-14). -2 Let f(w) = -4*w**2 - 4546*w + 168846. Give f(36). 6 Let r(l) = 2*l**3 + 315*l**2 + 2287*l + 907. Give r(-150). -4643 Let t(y) = -2*y**3 - 134*y**2 + 1310*y + 8250. Determine t(-75). 0 Let r(m) = -1536*m**2 - 78338*m - 104. Calculate r(-51). -2 Let h(o) = -3546*o + 17774. Determine h(5). 44 Let s(a) = -a**3 - 87*a**2 + 45844*a + 776. What is s(175)? -274 Let z(f) = f**3 - 35*f**2 + 234*f - 206. Determine z(21). -1466 Let r(o) = 2*o**3 - 178*o**2 + 223*o - 36204. Calculate r(90). 66 Let k(a) = a**3 + 64*a**2 - 45*a - 385. What is k(-65)? -1685 Let p(r) = -6077*r - 1343100. Calculate p(-221). -83 Let p(c) = -3*c**2 - 8809*c - 87944. Determine p(-10). -154 Let c(t) = -23409*t - 186077. Calculate c(-8). 1195 Let p(f) = 7564*f**2 + 14857*f - 1. Determine p(-2). 541 Let h(c) = 2587*c + 724349. Determine h(-280). -11 Let q(v) = 4*v**2 + 55*v + 13. What is q(-6)? -173 Let g(b) = -b**2 - 253*b - 7817. Give g(-218). -187 Let t(a) = -19*a**2 - 100*a - 8. Calculate t(-8). -424 Let n(w) = w**2 + 90*w - 11193. What is n(-158)? -449 Let z(t) = -4*t**3 - 20*t**2 + 339*t + 1658. Determine z(-5). -37 Let d(b) = -b**3 + 71*b**2 - 1281*b + 885. Determine d(33). -6 Let i(v) = v**2 + 646*v + 18049. Determine i(-29). 156 Let s(o) = -1944*o + 67862. What is s(35)? -178 Let t(g) = 3661*g + 1867129. Determine t(-510). 19 Let k(c) = 22*c**2 - 1583*c - 40. What is k(72)? 32 Let r(l) = -l**3 + 47*l**2 + 6*l + 114. Calculate r(47). 396 Let i(l) = 4*l**3 + 8*l**2 + 17*l + 12. Give i(-7). -1087 Let y(h) = -h**2 + 100*h + 1067. What is y(-9)? 86 Let k(c) = 4*c**2 - 2512*c - 25515. Calculate k(-10). 5 Let n(u) = -u**3 - 29*u**2 + 78*u + 158. Calculate n(-31). -338 Let w(o) = -o**3 - 34*o**2 - 182*o - 456. Calculate w(-27). -645 Let i(y) = -17156*y + 960730. Determine i(56). -6 Let i(f) = -15911*f - 508606. Determine i(-32). 546 Let d(w) = 68*w**2 - 10207*w - 108872. Determine d(-10). -2 Let r(z) = -721*z - 122579. Give r(-173). 2154 Let n(z) = -5557*z + 211281. Calculate n(38). 115 Let q(v) = 6*v**2 - 18006*v - 36011. Determine q(-2). 25 Let x(p) = 95791*p - 766331. What is x(8)? -3 Let k(z) = -346459*z + 346464. What is k(1)? 5 Let t(d) = 4*d**2 + 124*d + 2609. What is t(-17)? 1657 Let x(h) = h**3 + 42*h**2 + 341*h + 632. Give x(-32). -40 Let n(p) = p**2 + 211*p + 11063. Determine n(-95). 43 Let o(q) = q**2 + 8273*q - 57943. Determine o(7). 17 Let c(t) = -6*t**3 + 94*t**2 - 30*t - 16. Give c(15). 434 Let c(k) = 613*k - 7097. Give c(13). 872 Let u(k) = -15042*k - 89735. Determine u(-6). 517 Let c(a) = 466428*a - 10261418. What is c(22)? -2 Let u(i) = i**3 - 37*i**2 - 275*i + 4977. Calculate u(41). 426 Let h(x) = -2*x**3 + 144*x**2 - 2131*x - 77. Calculate h(51). 484 Let b(i) = -113*i**2 - 1900*i - 4685. Give b(-3). -2 Let b(a) = a**3 - 4*a**2 + 37*a - 46. Calculate b(8). 506 Let b(y) = -y**2 + 444122*y - 4441123. Calculate b(10). -3 Let p(x) = 5*x**3 + 43*x**2 - x - 19. Give p(-10). -709 Let i(x) = -24598*x + 6198727. Calculate i(252). 31 Let p(q) = -48*q + 778. Determine p(6). 490 Let x(c) = 10202*c - 30613. Calculate x(3). -7 Let u(n) = 2791*n - 13658. What is u(5)? 297 Let h(p) = 5*p**2 + 49*p - 584. What is h(8)? 128 Let h(p) = -42*p**2 + 886*p - 4211. Give h(7). -67 Let a(q) = 3*q**3 + 120*q**2 + 906*q + 174. What is a(-30)? -6 Let w(l) = -16*l**3 + 54*l**2 + 167*l + 10. What is w(-3)? 427 Let s(f) = 15*f**2 + 142*f + 18. Calculate s(-14). 970 Let n(h) = 2*h**3 + 125*h**2 + 420*h + 29616. What is n(-63)? -813 Let m(i) = -21*i**3 - 338*i**2 - 266*i - 4295. Calculate m(-16). -551 Let s(w) = -104646*w + 3139378. Give s(30). -2 Let i(q) = -159922*q - 1119476. Give i(-7). -22 Let s(t) = -t**2 - 137315*t - 1098508. Calculate s(-8). -52 Let r(y) = -2*y**3 - 148*y**2 - 18*y - 2753. Determine r(-74). -1421 Let a(u) = -51*u**2 - 1304*u + 220. What is a(-23)? 3233 Let t(y) = -123*y**2 + 3436*y - 3064. Give t(27). 41 Let q(g) = -2*g**3 - 39*g**2 + 217*g - 22. Give q(-24). -46 Let r(a) = -a**3 + 26*a**2 - 14*a - 2087. What is r(20)? 33 Let j(u) = u**3 + 29*u**2 + 7524*u + 218321. Calculate j(-29). 125 Let r(g) = -2*g**2 + 7550*g - 37741. Determine r(5). -41 Let h(l) = l**3 - 61*l**2 + 126*l + 31. What is h(59)? 503 Let y(l) = 2*l**3 - 23*l**2 + 3*l + 275. Determine y(10). 5 Let g(f) = 56*f**2 + 6086*f - 30418. Give g(5). 1412 Let u(l) = 66*l - 5110. Determine u(78). 38 Let n(u) = u**2 + 8286*u - 5350573. Giv
{ "pile_set_name": "DM Mathematics" }
)/9))/1. 0 Evaluate ((-5)/4)/((-6)/(-8))*2512/(-1570). 8/3 What is the value of (-2)/16*1/25*10*-6? 3/10 Calculate 1*5*(4588/37)/(-62). -10 Evaluate (((-39)/2)/13)/(93/(-1240)). 20 Evaluate ((-290)/1595)/((-6)/627). 19 What is the value of (-124)/465*(-110)/352? 1/12 47/(9212/(-49))*1*-64 16 What is the value of ((-1)/(-14))/((-145)/(-58)*4/(-10))? -1/14 What is the value of ((165/99)/((-10)/4))/((-1)/(-3))? -2 What is the value of (-27)/((-2160)/10)*184? 23 What is (-4)/(-2)*(-828)/184? -9 What is the value of (21/(-7)*(2/(-3))/(-2))/(-1)? 1 What is the value of ((-16)/(-56)*7)/((198/(-1))/(-6))? 2/33 What is (((4/(-42))/2)/((-172)/(-387)))/(-3)? 1/28 Evaluate (4/3)/((-2268)/(-486)). 2/7 What is ((-7)/24)/((-6510)/3720)? 1/6 What is 27/((-72)/(-8))*410/246? 5 Evaluate ((-15)/180)/(4/(-1824)). 38 What is the value of 15/9*75/66500*14? 1/38 What is the value of (2/(-105))/(((-230)/(-15))/46)? -2/35 What is ((-8)/(-9))/(44/99)? 2 Evaluate (-44)/(-28)*(-42)/72*-4. 11/3 Evaluate (4/6)/(8/(-57)). -19/4 -63*12/(-1296)*12 7 Calculate (42/525)/(3/(-45)). -6/5 What is the value of (-9*8/42)/(510/1785)? -6 Calculate ((-4)/(-2))/(150/225). 3 Calculate ((-9)/(-63))/(5/(-20)*120/63). -3/10 What is the value of 4/(3/1*2244/(-102))? -2/33 Calculate -11*(-35)/154*-4. -10 What is the value of ((-88)/660)/(20/1650)? -11 ((4*10/2)/(-2))/(15/15) -10 What is (((-731)/68)/43)/(((-253)/12)/(-11))? -3/23 What is the value of -4*(-4)/(-3)*3/2? -8 Evaluate (-1)/(((-1)/(-40)*-3)/(135/(-72))). -25 Evaluate (-740)/(-592)*(-132)/(-15). 11 Evaluate (96/256)/(-2*75/(-40)). 1/10 85/(-6290)*-111*14/(-3) -7 What is the value of 87/4*(-25)/((-2325)/124)? 29 (-8*(-40)/2688)/(80/28) 1/24 Calculate ((-2)/(-4))/(((-75)/1800)/((-1)/4)). 3 Calculate ((-1)/(-3)*2)/(39/((-14391)/779)). -6/19 Evaluate (-4*(54/16)/9)/((-6)/(-44)). -11 (228/(-494))/(1/(-1)) 6/13 52*38/(-10944)*-18 13/4 Calculate (-9)/6*168/(-180)*-5. -7 Evaluate ((-546)/1911)/(2/70). -10 What is the value of (13/((-234)/(-36)))/(-3*8/(-4))? 1/3 Evaluate ((-23)/1932*-14)/(-1*(-1)/(-16)). -8/3 (-34)/85*1/2 -1/5 What is the value of 4740/(-2528)*(-6)/3? 15/4 Evaluate 77*21*17/3927. 7 What is the value of (-10)/(-12)*4/(-3)*(-9)/15? 2/3 Calculate (-49)/(4557/62)*24/2. -8 What is the value of 80/14*(-86)/(-430)? 8/7 Evaluate ((-1539)/(-114))/(21/(-28)). -18 (240/(-3900))/((-32)/(-120)) -3/13 Calculate ((6/(-10))/(621/690))/(8/288). -24 What is the value of 2*4/(-6)*(-33060)/(-1520)? -29 Calculate (2/(-6))/((-2415)/690*1/(-49)). -14/3 What is (1076/11298)/(24/(-14))? -1/18 What is -54*(-28)/(-10080)*(-8)/10? 3/25 Evaluate (6/(-28))/(5/(-30)*(-174)/29). -3/14 (-4)/2*(1*-2)/((-202)/(-1313)) 26 (-945)/(-45)*(-35)/105*(-12)/(-7) -12 What is (((-4)/6)/(3910/2346))/((-2)/145)? 29 ((6/27)/1)/(616/792) 2/7 Evaluate (14/(-105))/(32/(-48)). 1/5 Evaluate (3/15*2)/(182/(-12740)). -28 What is (-5)/(-4)*-40*7/4900? -1/14 What is the value of (-2)/(-1)*324/216*1? 3 7/((-126)/12)*(-189)/(-14) -9 Evaluate ((-4)/(12*2))/((28/(-8))/7). 1/3 Evaluate ((-42)/(-35))/(40/(-100)). -3 Calculate ((-9)/6)/((-429)/(-1430))*24/(-10). 12 Evaluate 222/296*(-12)/2*8/(-9). 4 (1241/657)/(((-2)/(-1))/18) 17 What is (525/(-63))/((-40)/(-72))? -15 Evaluate ((2/((-8)/(-18)))/(-3))/(12/(-32)). 4 3/4*(1440/9)/(-10) -12 What is 2*(-35)/42*64/(-120)? 8/9 What is the value of ((-9)/135*26/(-130))/((-2)/(-12))? 2/25 Evaluate ((-625)/(-375))/(15/(-189)). -21 What is the value of 11/(33/(-18))*27*8/(-48)? 27 Evaluate ((-5)/30)/(((-10)/16)/(495/(-396))). -1/3 What is the value of -2*3465/(-792)*24/(-14)? -15 What is (6/(-18))/((-4)/(-7))*4? -7/3 Calculate (10*(-2)/40)/((-7)/6). 3/7 What is the value of (-20175)/9415*14/(-20)? 3/2 What is the value of (600/((-240)/12))/(2/1)? -15 What is the value of (25/((-2175)/58))/(1/18)? -12 What is the value of ((-5)/18)/(70/(-56))? 2/9 50*(-1)/3*(-54)/4590*-153 -30 10/(((91/(-39))/((-7)/3))/1) 10 Evaluate (-7*6/(-14))/(2/((-24)/63)). -4/7 Evaluate ((-543)/(-905))/((-2)/(-80)). 24 Evaluate (-2067)/689*-1*1. 3 ((10/(-10)*0)/2)/5 0 Evaluate (36/3)/2*(-204)/816. -3/2 Calculate (183/(-732))/(5*2*(-2)/48). 3/5 What is the value of (((-36)/75)/(-4))/(81/135)? 1/5 Calculate ((6/27)/(7/210))/(6/9). 10 What is (-2)/20*(-17)/(748/(-165))? -3/8 What is 2/(23/((-2024)/64))? -11/4 What is 1/10*(-2625)/(-350)? 3/4 Calculate 15*-1*19/((-285)/15). 15 Calculate (27/(-6))/9*3/18*-10. 5/6 Calculate (34/119)/((6/294)/(6/(-6))). -14 What is ((-1110)/(-629))/((-22)/187)? -15 What is the value of ((-6)/(-15))/((2/21)/((-11050)/(-1547)))? 30 What is (48*(-3)/(-336))/((-3)/(-14))? 2 Evaluate ((-6)/14)/((91/910)/(1/(-10))). 3/7 Evaluate (6/33)/(6/(-11))*51. -17 4/(-45)*(-160)/(-576)*-3 2/27 Evaluate (4*33/(-704))/(-3). 1/16 What is the value of (204/(-170))/(13/(975/(-10)))? 9 Evaluate (2*(-15)/300)/((-4)/4). 1/10 Evaluate ((-3)/2)/((31/(-1209))/((-2)/13)). -9 What is the value of ((-693)/(-385))/(((-45)/(-100))/(-9)*6)? -6 Evaluate (-4)/14*(1386/(-108))/(-11). -1/3 (-166)/996*306/(-3) 17 What is the value of ((-294)/(-378))/(((-154)/33)/(-1))? 1/6 Calculate 52/4290*11*(-3)/5. -2/25 Calculate ((-192)/12)/((-7)/63*12). 12 What is (1/(-33))/((-6)/108)? 6/11 What is the value of (308/770)/(10/(-325))? -13 3*2/(-14)*21/24 -3/8 Calculate (384/6912)/(1*(-1)/(-6))*-1. -1/3 What is the value of ((-6)/189)/((-60)/(-540))? -2/7 Evaluate (105/(-350))/(12/50)*4. -5 What is ((-5)/(1620/(-144))*18/(-4))/2? -1 Evaluate (675/(-180))/((-25)/(-60)). -9 What is ((-24)/(-28))/(99/77)*1/(-2)? -1/3 What is (-2*(-2)/(-48))/(22/198)? -3/4 ((-357)/(-1785))/((-8)/(-2)) 1/20 What is the value of (14*4)/(2779/794)? 16 Calculate 2/((-32)/(-24))*(-7)/(-6). 7/4 (((-156)/(-26))/(-7*2))/(6/(-1)) 1/14 What is (57/38)/(195/(-104))? -4/5 (20/(-7))/((-312)/84) 10/13 What is the value of 2/(-6)*135/(-6)*(-120)/(-150)? 6 What is -9*(5/(-75)*35)/1? 21 What is the value of (1/(-7))/(((-725)/29)/(-25))? -1/7 What is the value of (-2)/((-6)/(-2)*279/27)? -2/31 Evaluate (56/12)/(9*(-3)/27). -14/3 Calculate (2/(-65*7/(-70)))/2. 2/13 Calculate -6*((-5)/9)/((-90)/135). -5 1/(7/308*-4) -11 108/(-90)*630/(-54) 14 Calculate -1*((375/90)/25)/((-5)/(-3)). -1/10 What is (-4)/(-6)*((-15)/((-105)/14))/(-4)? -1/3 Evaluate (-375)/2375*(-8)/12. 2/19 Calculate 7308/2088*8/6*6/4. 7 (33/(825/70))/(26/13) 7/5 Evaluate ((8/2)/(-4))/(5/15*3). -1 Evaluate (-10192)/1092*6/7. -8 Evaluate 4/6*(222/(-4))/(-37)*-16. -16 What is the value of 36/12*6/270*5? 1/3 What is (-24)/40*(-2)/((-64)/40)? -3/4 Calculate (-8)/28*(-182)/104. 1/2 What is (-1)/(176/48)*-1? 3/11 What is the value of (8/42)/(((-199)/(-995))/((-3)/20))? -1/7 What is the value of (-13)/((-182)/(-12))*(-14)/12*4? 4 What is 344/(-23392)*12/9? -1/51 What is the value of 1/(14/(-21))*22/(-3)? 11 What is the value of (1/1)/(19/11115*15*3)? 13 ((-3)/(6/1))/((4576/(-66))/26) 3/16 Evaluate 39/(-13)*(-5)/(-2)*366/305. -9 What is the value of (((-3)/5)/1)/((-1755)/(-650))? -2/9 What is (20/(-28))/(2905/(-36603))? 9 What is the value of 11*3*3/(-6)*680/(-1020)? 11 What is the value of -5*(-16)/(-32)*(-17)/((-34)/(-4))? 5 Calculate 5/(-3)*(-639)/355. 3 What is (18/(-75))/(16/680*34)? -3/10 What is the value of 2/24*8*15? 10 Evaluate (72/(-54))/(12/(-63)). 7 What is (-112)/(-208)*13*(-24)/14? -12 204/68*2/30 1/5 What is ((-5)/(105/7))/(((-6)/3)/(-84))? -14 What is the value of ((-8)/(-6))/(180/756*(-56)/(-180))? 18 Evaluate 21*644/(-276)*2/(-14). 7 Evaluate ((-80)/2800)/(3/(21/(-2))). 1/10 Calculate ((-85)/(-10))/(-17)*156/26. -3 What is ((-70)/21)/(((-21)/252)/(3/(-12)))? -10 (1360/(-30))/17*((-585)/(-4))/(-13) 30 Evaluate -4*(-6)/(-8)*10/(-30)*-9. -9 What is the value of 10/(-1)*2/(-25)*(-5)/(-1)? 4 38/16*3*1340/(-1005) -19/2 7/(-210)*6*35 -7 What is the value of 1/(-1)*1*(-66)/(-1716)*-130? 5 What is (2/(-10))/(8/(-2)*(-117)/7020)? -3 What is 5*6/(-26)*(-308)/(-385)? -12/13 Calculate (-3)/(-4)*(-12840)/(-207045). 2/43 Evaluate 3/3*-5*(-12)/(-60). -1 Evaluate 1/9*-27*(18/(-3))/54. 1/3 2/6*(-60)/(-300) 1/15 What is 1690/(-5915)*(-2)/2*28? 8 Evaluate ((-3)/(-2))/((-1845)/(-5904))*-5. -24 3*-5*(-4176)/(-5220) -12 Evaluate 4/40*20/(-25). -2/25 What is 26992/(-2410)*2/(-32)*2? 7/5 Calculate 8/2*((-12)/(-240))/((-24)/60). -1/2 What is ((40/6)/(-5))/(76/6)? -2/19 (-4)/((-11)/528*12
{ "pile_set_name": "DM Mathematics" }
65670000 Convert 527556.8ml to litres. 527.5568 What is two fifteenths of a millennium in months? 1600 Convert 9.380061 decades to millennia. 0.09380061 How many centimeters are there in 6473.779um? 0.6473779 What is four fifteenths of a millennium in months? 3200 What is 19.747656 seconds in hours? 0.00548546 How many microseconds are there in 5.412219 days? 467615721600 Convert 12088.61 centuries to millennia. 1208.861 Convert 85917.27t to grams. 85917270000 Convert 84.24647 millilitres to litres. 0.08424647 What is 6047863.2 nanoseconds in hours? 0.000001679962 What is 4/7 of a week in minutes? 5760 How many months are there in 93.06404 millennia? 1116768.48 Convert 0.4883251 millilitres to litres. 0.0004883251 Convert 1830.647 centimeters to meters. 18.30647 What is one tenth of a second in milliseconds? 100 How many meters are there in 0.4608486 centimeters? 0.004608486 How many micrograms are there in 0.4139338ng? 0.0004139338 Convert 38.28335kg to grams. 38283.35 How many decades are there in 11/4 of a millennium? 275 How many millilitres are there in thirty-one fifths of a litre? 6200 How many meters are there in 440982.4 micrometers? 0.4409824 What is three eighths of a litre in millilitres? 375 How many days are there in 22530260.7s? 260.76690625 What is 25/4 of a millimeter in micrometers? 6250 How many nanometers are there in seventeen quarters of a micrometer? 4250 What is five quarters of a week in hours? 210 How many millilitres are there in 32/5 of a litre? 6400 Convert 276478.6m to centimeters. 27647860 What is 6799.89l in millilitres? 6799890 What is fifty-three quarters of a millisecond in microseconds? 13250 How many grams are there in 1/4 of a kilogram? 250 What is 27/5 of a litre in millilitres? 5400 What is 7/4 of a milligram in micrograms? 1750 Convert 83.78588 weeks to hours. 14076.02784 How many minutes are there in 3/16 of a day? 270 What is 0.4142688kg in milligrams? 414268.8 How many months are there in 2/15 of a century? 160 Convert 7005.85 centuries to decades. 70058.5 What is 7.915179us in minutes? 0.00000013191965 Convert 588.8815 tonnes to milligrams. 588881500000 What is sixteen sevenths of a week in hours? 384 How many seconds are there in 13/5 of a hour? 9360 What is 3/10 of a millennium in years? 300 Convert 1098.086 centuries to months. 1317703.2 What is one fifth of a tonne in kilograms? 200 What is 3.128789 micrometers in kilometers? 0.000000003128789 How many decades are there in 17/4 of a millennium? 425 What is 3/40 of a meter in millimeters? 75 Convert 9297.768t to milligrams. 9297768000000 How many millilitres are there in 71.20273 litres? 71202.73 How many months are there in five quarters of a decade? 150 What is 8.538224m in kilometers? 0.008538224 What is twenty-one halves of a day in hours? 252 Convert 849325.6 millilitres to litres. 849.3256 How many litres are there in 5.746903 millilitres? 0.005746903 Convert 770632.29 seconds to hours. 214.064525 Convert 0.0664854 litres to millilitres. 66.4854 What is 7/3 of a decade in months? 280 How many millilitres are there in 8/25 of a litre? 320 What is 6050.73 meters in micrometers? 6050730000 Convert 0.3845894kg to nanograms. 384589400000 How many months are there in 5/24 of a millennium? 2500 How many millilitres are there in 6.272899 litres? 6272.899 Convert 242.43744 months to millennia. 0.02020312 How many millilitres are there in 3/50 of a litre? 60 What is 13051.32m in nanometers? 13051320000000 What is five quarters of a day in hours? 30 What is twenty-seven quarters of a millennium in decades? 675 How many grams are there in 11/8 of a kilogram? 1375 Convert 979924.4 decades to months. 117590928 What is 71407.33um in meters? 0.07140733 How many millilitres are there in 62.22556 litres? 62225.56 How many nanometers are there in 540688.9 meters? 540688900000000 Convert 83782.1 millennia to months. 1005385200 How many meters are there in seven eighths of a kilometer? 875 What is 113977.2us in nanoseconds? 113977200 What is nine tenths of a kilometer in meters? 900 Convert 321858.5km to micrometers. 321858500000000 What is 386032.7 weeks in milliseconds? 233472576960000 What is 327964.7 nanometers in kilometers? 0.0000003279647 How many decades are there in seven halves of a millennium? 350 What is fifty-seven fifths of a microsecond in nanoseconds? 11400 What is 80873.32 millilitres in litres? 80.87332 How many milliseconds are there in 0.6018926 weeks? 364024644.48 Convert 6019.81kg to grams. 6019810 How many milligrams are there in 691.831 tonnes? 691831000000 What is 3/5 of a kilometer in meters? 600 How many years are there in 2799.0813 months? 233.256775 How many milliseconds are there in 5/8 of a second? 625 How many millilitres are there in seventeen quarters of a litre? 4250 What is 9918.215 litres in millilitres? 9918215 What is one twentieth of a gram in milligrams? 50 How many centuries are there in 4560.561 months? 3.8004675 How many millimeters are there in 73/5 of a centimeter? 146 Convert 0.481822 millennia to centuries. 4.81822 How many micrometers are there in 0.6236163cm? 6236.163 What is 393453.9 decades in years? 3934539 What is 80464.43 decades in months? 9655731.6 What is 0.4121094 months in millennia? 0.00003434245 What is 24498.14 litres in millilitres? 24498140 How many decades are there in three fifths of a millennium? 60 What is 541296.6 years in centuries? 5412.966 How many years are there in twenty-one fifths of a decade? 42 Convert 7.915301 nanometers to centimeters. 0.0000007915301 How many microseconds are there in 9/10 of a millisecond? 900 What is 7246284.57us in weeks? 0.000011981290625 What is 7/2 of a microsecond in nanoseconds? 3500 What is 1/5 of a kilometer in centimeters? 20000 What is 6/5 of a meter in millimeters? 1200 How many millilitres are there in 957.2749l? 957274.9 What is 1/6 of a minute in seconds? 10 Convert 46911.35 centimeters to micrometers. 469113500 What is 55912.34m in nanometers? 55912340000000 What is thirty-two fifths of a tonne in kilograms? 6400 Convert 466723.6 nanometers to kilometers. 0.0000004667236 What is 93/4 of a kilogram in grams? 23250 What is 31/2 of a meter in centimeters? 1550 How many minutes are there in five quarters of a hour? 75 What is 17/4 of a micrometer in nanometers? 4250 How many milliseconds are there in 8.656488 weeks? 5235443942.4 Convert 219950.1t to nanograms. 219950100000000000000 What is 3.929946ng in tonnes? 0.000000000000003929946 Convert 415.1431 nanoseconds to milliseconds. 0.0004151431 Convert 404509.8m to millimeters. 404509800 How many meters are there in 34/5 of a kilometer? 6800 How many months are there in 27/5 of a century? 6480 What is 0.2662365l in millilitres? 266.2365 What is 141.3955 hours in nanoseconds? 509023800000000 What is 3/40 of a day in minutes? 108 How many minutes are there in 229.42179ms? 0.0038236965 What is 1/5 of a gram in milligrams? 200 What is 71.90726km in millimeters? 71907260 Convert 922.3671 months to years. 76.863925 How many seconds are there in 59/5 of a hour? 42480 What is 2/125 of a microsecond in nanoseconds? 16 Convert 15.47567 micrograms to kilograms. 0.00000001547567 How many nanograms are there in twenty-three eighths of a microgram? 2875 How many millilitres are there in 18/5 of a litre? 3600 What is three sixteenths of a minute in milliseconds? 11250 How many seconds are there in two fifteenths of a day? 11520 How many nanometers are there in 3/25 of a micrometer? 120 How many months are there in eleven halves of a decade? 660 What is three eighths of a second in milliseconds? 375 What is 327480.8 hours in microseconds? 1178930880000000 What is 0.7220351l in millilitres? 722.0351 What is 841327.9 litres in millilitres? 841327900 Convert 1457.812 minutes to nanoseconds. 87468720000000 How many millimeters are there in eleven tenths of a centimeter? 11 How many millilitres are there in 0.3234051 litres? 323.4051 Convert 0.4312547 decades to centuries. 0.04312547 Convert 0.8997478 kilometers to micrometers. 899747800 Convert 4694.489 hours to microseconds. 16900160400000 What is 54.81002 litres in millilitres? 54810.02 What is 749140.2 milligrams in nanograms? 749140200000 How many millilitres are
{ "pile_set_name": "DM Mathematics" }
7980. What are the prime factors of n? 2, 3, 5, 19 Suppose 3*k - 20899 = 4*m, -5*k + 53706 = -3*m + 18889. List the prime factors of k. 6961 Suppose 15 = -8*c + 3*c, -u = -4*c - 7730. What are the prime factors of u? 2, 17, 227 Suppose 0 = 3*l - 5*s - 2087, 0 = -5*s + 5 + 5. Suppose -l - 5590 = -19*v. List the prime factors of v. 331 Let a = -27 - 1. Suppose 0 = -4*j - 4*j - 48. What are the prime factors of (76/j)/(a/42)? 19 Suppose 4*m = -356 - 496. Let d = 299 + m. List the prime factors of d. 2, 43 Let o(i) = -i**3 + 5*i**2 + 27*i + 2. List the prime factors of o(-26). 2, 3, 211 Let g be 50/(-125)*(-5 + 0). Let h(a) = 20 + 6*a + 6*a**2 - 17 + a**g. List the prime factors of h(-4). 7, 13 Suppose -4*x - 5*z = -5*x + 4174, -2*x + 8312 = -z. List the prime factors of x. 2, 31, 67 What are the prime factors of (293 + -1)*(6/(-6))/((-13)/767)? 2, 59, 73 Let y(u) = u**3 + u**2 - 18*u + 18. Let w(p) = -3*p**3 - 2*p**2 + 53*p - 54. Let d(h) = -6*w(h) - 17*y(h). What are the prime factors of d(10)? 2, 199 Suppose -13*y = 28*y - 53505. List the prime factors of y. 3, 5, 29 Let c(a) = 20308*a**2 - 6*a - 5. List the prime factors of c(-1). 23, 883 Let o(c) = -c**2 - 12*c - 8. Suppose -61*h = -57*h + 64. Let b be o(h). Let f = 197 + b. What are the prime factors of f? 5 Let h(d) = 109*d + 278. Let y(b) = 27*b + 70. Let f be ((-36)/(-20))/(1/5). Let k(g) = f*y(g) - 2*h(g). What are the prime factors of k(8)? 2, 137 Let u(x) be the second derivative of x**5/4 + x**4/12 - 2*x**3 + 4*x**2 - 27*x + 1. What are the prime factors of u(6)? 2, 263 Let d(q) = 1171 - 186*q - 579 - 586. List the prime factors of d(-3). 2, 3, 47 Let m = -46348 - -69909. What are the prime factors of m? 23561 Suppose 243*l + 5*a - 175045 = 238*l, 3*l - 105027 = -2*a. What are the prime factors of l? 13, 2693 Let c be 4 + 63/(-12) + (-3)/4. Let x be (-5)/5*c + 0. Suppose 0 = -2*j - 5*h + 362, 5*j - x*h = 3*j + 390. List the prime factors of j. 191 Let r be 4/(-2)*-487 + 2. List the prime factors of r/18 + 12/(-54). 2, 3 Let q be 7*-1*((-18)/(-2) - 2). Let l = q + 109. List the prime factors of l. 2, 3, 5 Let p(q) = 5*q + 107. Let y be p(-21). List the prime factors of (y/(-8)*-6)/((-81)/(-2484)). 2, 23 Let a = 15695 - -22714. What are the prime factors of a? 3, 7, 31, 59 Let u(y) = 2*y**2 - 4*y - 4. Suppose 100 = -5*z + z. Let p = -20 - z. List the prime factors of u(p). 2, 13 Let c(l) = -4*l + 35. Let q be c(8). Suppose 6811 = q*k - 4*z, 0 = -4*k + 5*z + 5203 + 3877. What are the prime factors of (k/27)/5 - 4/(-18)? 17 Let b(q) = -9*q**2 + 31*q - 19. Let w(t) = 8*t**2 - 29*t + 21. Let p(d) = 4*b(d) + 5*w(d). What are the prime factors of p(16)? 3, 239 Let b be (-25025)/(-21)*5 - 2/6. What are the prime factors of ((-4)/(-5))/(b/(-1490) + 4)? 2, 149 Let z = -632 + 627. List the prime factors of (-337)/z - (-2)/(-5). 67 Suppose 4*g = -3*d + 32, -g + 2*d + 12 = 3*g. Suppose -2*t = -g*m - 855, -2*t - 2097 = -7*t - m. List the prime factors of t. 2, 3, 5, 7 Let x(o) = -10*o + 2. Let s be 2/9 - 192/(-108). Suppose s*k - 4*f + 24 = 0, -f - 3 = -7. List the prime factors of x(k). 2, 3, 7 Suppose 3459 = 4*l - 7*j, 303 = 5*l + 5*j - 4007. List the prime factors of l. 863 Let p(o) = -181*o + 1572. What are the prime factors of p(-9)? 3, 11, 97 What are the prime factors of ((-3 + 0)*2)/((-9)/6330)? 2, 5, 211 Suppose -2*a + 5*g + 19473 = -2293, 4*g + 32635 = 3*a. List the prime factors of a. 83, 131 Let j be 6*684/(-54)*(-6)/8. Suppose 59 = f + j. Suppose 0 = f*b + 3*b - 995. List the prime factors of b. 199 Let p = -44 - -34. Let s(o) = o**3 + 10*o**2 + 4*o - 1. Let g be s(p). Let l = 63 + g. List the prime factors of l. 2, 11 Let q = 7754 + -1270. What are the prime factors of q? 2, 1621 Let m be 35/14 - 5/2. Suppose m*b = b. Suppose 2*s = b, -s - 920 = -5*q - 4*s. What are the prime factors of q? 2, 23 Let n(h) = 33*h - 6 - 2 + 3 + 0. Let z be 3 + (-210)/66 - 13/(-11). List the prime factors of n(z). 2, 7 Let i(q) = -1291*q + 3565. List the prime factors of i(-21). 2, 7669 Suppose 2*u = 4*u + 5*q + 880, -3*q - 2219 = 5*u. Let c = -91 - u. List the prime factors of c. 2, 3, 59 Let r(d) = -3*d + 9. Let f be r(-10). Let j be 2/(-4) + f/6. Suppose 4*t - j = 2*q - 0*t, -5*q = -t - 21. List the prime factors of q. 5 Let k be -3*(1179/(-54) + 7)*2. Let m = -3 + 6. Suppose -5*n + 3*c + 426 = -c, n + m*c = k. List the prime factors of n. 2, 43 What are the prime factors of (2*1)/(-14*6/(-116088))? 2, 691 Let h(m) = 2*m**3 + 9*m**2 + m - 12. Let v be h(-4). Let a(d) = 21*d - 3*d - 17*d**2 + v*d**3 + 4 + 0*d**3 + d**3. List the prime factors of a(16). 2, 3 Let j be (-84)/(1/(-2) - 0). List the prime factors of 59152/j + (-2)/21. 2, 11 Suppose -18*c + 81764 = 2*t - 16*c, 204360 = 5*t - 5*c. What are the prime factors of t? 41, 997 Let j = 26965 - 14441. List the prime factors of j. 2, 31, 101 Let l(m) = 25*m + 79*m + 0*m + 30 + 7*m + 7*m. List the prime factors of l(2). 2, 7, 19 Suppose 4*k = o - 35, -2*o + 24*k - 25*k = -52. Suppose -o*d = d - 20160. What are the prime factors of d? 2, 3, 5 Let t be ((-303)/(-2))/(141/658). Suppose 5*x + 4*h - 876 = 0, 3*h = 5*x - x - t. List the prime factors of x. 2, 11 Let b be 30/6 + -9 + 1162. Suppose y + 5*y = b. What are the prime factors of y? 193 Suppose -4*s - 1751 = -w, 2*w + 2*s - 5857 + 2305 = 0. Let n = w - 1026. What are the prime factors of n? 5, 149 Suppose -15 = 5*g, 2 + 10 = 2*f + 4*g. Suppose f*t + 630 = 3*t. Let d = t - -158. List the prime factors of d. 2, 11 What are the prime factors of -83608*13*5/(-130)? 2, 7, 1493 Suppose -238 = -7*g + 98. Suppose 0 = g*l - 45*l - 825. What are the prime factors of l? 5, 11 Suppose -3*u - 5*s = 6 + 7, 5*s + 15 = -5*u. List the prime factors of 6*-1*(u + 4 + -61). 2, 3, 29 Let n be ((-8)/(-12))/(2/30). Suppose 0 = 3*h - 3*l - 45, -31*h - l - 26 = -33*h. Suppose 112 = -n*p + h*p. What are the prime factors of p? 2, 7 Suppose 2*m + 2 = -2*m - f, 5*m - 5*f - 10 = 0. Let z(v) = v + 1. Let l(a) = 7*a + 228. Let p(s) = l(s) - 6*z(s). List the prime factors of p(m). 2, 3, 37 Let j = -180 - 649. Let x = j - -1354. List the prime factors of x. 3, 5, 7 Suppose m + 137 = 2*m. Suppose -2*o - m + 439 = -2*q, -287 = -2*o + 5*q. What are the prime factors of o? 2, 3, 13 Suppose -3*s - 5*p = -27262, 2*s = 2*p + 23876 - 5696. What are the prime factors of s? 61, 149 Let n = 530 - 545. What are the prime factors of ((-1448)/6)/(((-35)/n)/(-7))? 2, 181 Let p(q) = 2*q**3 - 2*q**2 - 4*q. Suppose r = -26 + 48. Let h(x) = 7*x**3 - 8*x**2 - 15*x + 1. Let i(a) = r*p(a) - 6*h(a). What are the prime factors of i(3)? 2, 3, 5 Let y(s) = -18746*s + 100. What are the prime factors of y(-2)? 2, 37, 127 Let l(x) = -172*x - 45. Let j be l(4). Let h = j - -1095. What are the prime factors of h? 2, 181 Let j = -86 + 9196. List the prime factors of j. 2, 5, 911 List the prime factors of (-9 + 6440/(-7))*-23. 23, 929 Suppose -17*q = -172924 - 113526. What are the prime factors of q? 2, 5, 337 Let l(a) = 41*a + 121. What are the prime factors of l(56)? 2417 Let v(y) = 5*y**3 - 5*y**2 + y - 22. Let r = -97 + 102. What are the prime factors of v(r)? 3, 7, 23 Let i be (-1)/(((-1)/(-9))/(154/(-66))). Suppose 384 = -i*x + 27*x. List the prime factors of x. 2 Let l = 25 + -19. Let a(o) = o**2 - 4*o - 4. Let m be a(l). Let n(w) = 5*w + 19. List the prime factors of n(m). 59 Let d be 406/49 + -8 - 3110/7. Let q = d + 928. List the prime factors of q. 2, 11 Let h(t) = -4*t - 32. Let l be h(-16). Let c = l + -24. Let s(u) = -u**3 + 6*u**2 + 19*u + 2. List the prime factors of s(c). 2, 13 Let g(m) be the second derivative of m**4/12 + 17*m**3/3 + 13*m**2/2 + 8*m. Let k(f) be the first derivative of g(f). What are the prime factors of k(14)? 2, 31 Let o be (5*8/(-16))/((-2)/44). Suppose 180 = -50*r + o*r. List the prime factors of r. 2, 3 Suppose 0 = -3*g + 3*p + 1252 + 1340, 0 = -5*p + 20. Suppose -4*m + m = 3*q - 528, 5*m - g = -2*q. Suppose 13*t - 1076 - m = 0. List the prime factors of t. 2, 3 Let x(o) = 2*o**3 - 3*o**2 + o - 2. Let u be x(2). Suppose 25 = u*k - 239. List the prime factors of k. 2, 3, 11 List the prime factors of (28958 - 6)/1 + (-3 - 4). 5, 7, 827 Let y = -2086 + 4013. List the prime factors of y. 41, 47 Suppose -3*y = 31 - 1. Let m b
{ "pile_set_name": "DM Mathematics" }
1. Give -3*b(f) + i(f). f - 2 Let s(t) = 1729*t - 63979. Let n be s(37). Let i(o) be the first derivative of -o + 1. Let a(q) = 4*q**2 - 7. Determine n*i(v) + a(v). 4*v**2 - 1 Let l(m) = m**3 - 2*m**2 + 5*m + 3179. Let d(x) = 17*x**3 - 33*x**2 + 81*x + 50861. Give 2*d(h) - 33*l(h). h**3 - 3*h - 3185 Let s(p) = 35*p + 408. Let z(t) = -7*t - 87. Calculate 2*s(m) + 11*z(m). -7*m - 141 Let m = -25 - -7. Let f(d) = -24*d - 134. Let n(c) = 3*c + 22. Let t(u) = -2*f(u) - 13*n(u). Let p(g) = 1. What is m*p(b) - t(b)? -9*b Let k(u) = -779*u**3 - 16*u**2 + 6*u. Let w(p) = -4*p**3 - 2*p**2 + p. What is -k(t) + 6*w(t)? 755*t**3 + 4*t**2 Let g(d) = 5 + 118*d - 58*d - 4 - 61*d. Let x(l) = 1. Let k(y) = y + 9. Let n be k(-10). Determine n*x(r) + 3*g(r). -3*r + 2 Let y(o) = 10*o - 1 + 10*o - 15*o - 7*o + 3*o. Suppose -3*b + 5 = 5*a - b, -5*b = -3*a + 3. Let v(p) = 13*p - 5. Give a*v(j) - 5*y(j). 8*j Let u(g) = -60*g**3 + 4*g**2 + 6*g - 2. Let m(h) = 59*h**3 - 4*h**2 - 8*h + 4. Calculate -3*m(b) - 4*u(b). 63*b**3 - 4*b**2 - 4 Let n(q) = -q**2 - q + 1. Let u(g) be the second derivative of g**4/2 + g**3/2 - 3*g**2/2 + g + 1196. Determine -5*n(x) - u(x). -x**2 + 2*x - 2 Let f(m) = -m + 1. Let d(v) = -v**2 - v + 1. Suppose -168*g - 102 = 66. Let p = 3 + -2. Calculate g*d(x) + p*f(x). x**2 Suppose -3*l = -5*i - 1984, 0 = -3*l + 5*l - 4*i - 1326. Let f(c) = -659 - c**3 + 1313 - l. Let g(d) = 5*d**3 + d**2 - 1. Determine -3*f(s) - g(s). -2*s**3 - s**2 - 2 Let b(c) = -416*c + 1243. Let j be b(3). Let m(a) = 11*a**2 + 2. Let y(z) = 10*z**2 + 1. Calculate j*y(n) + 4*m(n). -6*n**2 + 3 Let s(c) = c + 4. Let l(w) = -w - 3. Let d be 41/(-11) - (-267)/(-979). Let a = 23 + -29. Let p be a + 0 + (-2 - -3). Calculate d*s(f) + p*l(f). f - 1 Let l(s) be the second derivative of -35*s**5/2 + 5*s**3/2 - 15*s**2/2 + 2268*s. Let j(x) = 50*x**3 - 2*x + 2. Determine 15*j(n) + 2*l(n). 50*n**3 Let k(m) = -19*m**3 + 2*m**2 - 4*m - 4. Let q(t) = -18*t**3 + 2*t**2 - 2*t - 3. Calculate -3*k(a) + 4*q(a). -15*a**3 + 2*a**2 + 4*a Let k = -2757 + 2751. Let s(m) be the third derivative of m**6/120 + m**5/30 + m**3/3 + 22*m**2. Let z(i) = 2*i**3 + 3*i**2 + 3. Determine k*s(o) + 4*z(o). 2*o**3 Let l(y) = 2*y**3 + y**2 - 1. Let b(v) = -150*v**2 + 60*v**2 - 6*v**3 + 3 + 88*v**2. Calculate 2*b(m) + 7*l(m). 2*m**3 + 3*m**2 - 1 Let s(u) = 4*u - 3*u + 0*u + 17. Let t(n) = -23. Let p(l) = 11*l + 41. Let o be p(-5). Let r(g) = -7. Let c(a) = o*r(a) + 4*t(a). Determine 17*c(w) - 6*s(w). -6*w Let b(s) = 2*s**2 + 3*s + 1. Let p(z) = -51880*z**2 - 93384*z - 31128. Give 31128*b(o) + p(o). 10376*o**2 Let y(f) = 337*f**2 + 9*f + 4006. Let u(k) = -75*k**2 - 2*k - 1001. Calculate -9*u(o) - 2*y(o). o**2 + 997 Suppose w + 3*w = -5*y + 58, 0 = -w + 2. Let f(u) = -y*u + 9*u + 0 - 3*u**2 + 0. Let c(s) = -13*s**2 - 5*s. What is -2*c(t) + 9*f(t)? -t**2 + t Let w(c) = 133*c + 6098. Let q(v) = 47*v + 2032. Calculate 17*q(j) - 6*w(j). j - 2044 Let y(q) = q**2 + q. Let a = 3801 - 3797. Let k(i) = -19*i**2 + 2*i. Calculate a*y(x) - k(x). 23*x**2 + 2*x Let t(j) = 3*j**2 + 3 - 10*j - 6*j + 7*j - 5*j. Let k(m) be the first derivative of -m**3/3 + 5*m**2/2 - m + 19942. Calculate 17*k(h) + 6*t(h). h**2 + h + 1 Let l(g) = -5*g + 9. Let c(n) = -14*n + 26. Suppose 0 = 2*m - 4 + 16. Suppose -36*a - q = -32*a - 68, 0 = -3*a - 5*q + 51. Give a*l(o) + m*c(o). -o - 3 Let h(s) = -13*s**3 - 63*s - 6. Let c(w) = 8*w**3 + 42*w + 4. Calculate 8*c(o) + 5*h(o). -o**3 + 21*o + 2 Let w(q) = 5*q. Let m(k) be the first derivative of 3*k**2 + k + 1721. Determine 6*m(a) - 7*w(a). a + 6 Let f(a) = 46*a - 6957. Let b(p) = 61*p - 6955. What is -3*b(h) + 4*f(h)? h - 6963 Let i(s) = 8*s - 12. Let g(w) = 11*w - 18. Let q(a) = -5*g(a) + 7*i(a). Let k(o) = 7. Let t(v) = 6. Let y(f) = 5*k(f) - 6*t(f). Calculate q(d) + 6*y(d). d Let v(a) = -a**2 - a - 13. Let i(t) = -51. Let u(d) = 25. Let y(s) = -i(s) - 2*u(s). Calculate v(x) + 4*y(x). -x**2 - x - 9 Let m(u) = -43*u - 58. Let b(x) = -84*x - 105. Give -5*b(d) + 9*m(d). 33*d + 3 Let r(a) = 11*a**2 + 8*a + 6. Let y(c) = -7*c**2 - 5*c - 4. Let w(i) = -5*r(i) - 8*y(i). Let x = 9734 - 9743. Let d(h) = -5*h**2 - 9. What is x*w(j) - 2*d(j)? j**2 Let w(f) = 9 + 0*f - 4*f + 5*f + 4*f. Let p be ((-2)/(-7))/(6291/(-252) - -25). Let c(l) = -7*l - 14. Give p*w(n) + 5*c(n). 5*n + 2 Let s(p) = 5*p**3 + 7*p**2 - 105*p + 42. Let a(j) = 5*j**3 + 6*j**2 - 104*j + 35. Determine -6*a(k) + 5*s(k). -5*k**3 - k**2 + 99*k Let d(r) = -r**3 - 3*r**2 + r - 3. Let y(z) = 2*z + 1 - 2*z + 2*z - 4*z + 3*z. Give -d(f) + 2*y(f). f**3 + 3*f**2 + f + 5 Let s(r) = 4*r + 4. Let a(p) = -2*p - 2. Let c be 24/10*(-20)/(-12). Suppose -5*f - c - 6 = 0. What is f*s(h) - 5*a(h)? 2*h + 2 Let t(x) = 64*x**2 - 62*x**2 + 20 + 5*x - 10*x**2. Let w(m) = 17*m**2 - 11*m - 39. Determine -13*t(i) - 6*w(i). 2*i**2 + i - 26 Let i(b) = 61*b**2 + 2*b + 37. Let v(m) = 26*m**2 + m + 16. Let w(a) = -3*i(a) + 7*v(a). Let o(z) = -2*z**2 + z + 2. Calculate o(p) - w(p). -p**2 + 1 Let q(b) = -244*b**2 - 58*b + 10. Let z(r) = 244*r**2 + 51*r - 9. Determine -7*q(m) - 8*z(m). -244*m**2 - 2*m + 2 Let a(c) = 11181*c - 26. Let v(p) = -2798*p + 6. Calculate -2*a(x) - 9*v(x). 2820*x - 2 Let t(b) be the third derivative of -b**6/40 + 5*b**4/24 + 2*b**3/3 + 428*b**2. Let x(m) = m**3 - m - 1. Calculate t(y) + 4*x(y). y**3 + y Suppose 2*j + 3 = 15. Let p(o) = -5*o**2 + 20*o + j + 5 - 12*o. Let x(k) = 6 + 3*k - 4*k**2 - 2*k**2 + k**2 + 3*k**2 - 2. Give -3*p(q) + 8*x(q). -q**2 - 1 Let y(v) = -2*v**3 - 2*v**2 - v. Let k(a) = -a**2. Suppose -3 - 61 = 4*h - 20*h. Calculate h*k(r) - y(r). 2*r**3 - 2*r**2 + r Let g(z) = -58*z**2 - 388*z - 3. Let k(h) = 194*h**2 + 1164*h + 10. Give -10*g(i) - 3*k(i). -2*i**2 + 388*i Let u(q) = -q**2 + q. Let y(x) = -2*x**2 - 2*x - 1. Let p(c) = -9*c**2 - 8*c + 2. Let r(z) = -p(z) + 5*y(z). Calculate r(m) + 2*u(m). -3*m**2 - 7 Suppose 5*k - 2*f - 322 = -323, 12*f = 4*k - 20. Let c(m) = m + 1. Let j(t) = 4*t - 27. Give k*j(b) + 2*c(b). -2*b + 29 Let k(s) = s**3 - s**2 - s. Let b(u) = -232690 - 2*u**3 + 3*u**2 + 3*u + 0*u**3 + 232690 + 0*u**2. Suppose 0 = 3*n - 17 + 5. Determine n*b(p) + 12*k(p). 4*p**3 Suppose -6*q + 1401 = 1389. Let l(b) = -3 + 6*b**2 + 13*b**2 + 11*b**2 + 0*b**2 - 17*b**q. Let z(c) = -39*c**2 + 8. Give 8*l(i) + 3*z(i). -13*i**2 Let t(m) be the third derivative of m**4/24 - 146*m**2. Let b(f) = -15*f + 2. Calculate -b(h) + 6*t(h). 21*h - 2 Let c(i) = -4*i**2 + 7*i - 4. Let h(y) = 5*y**2 - 20*y + 29. Let n(x) = -4*x**2 + 20*x - 32. Let q(l) = -7*h(l) - 6*n(l). Determine -17*c(k) + 6*q(k). 2*k**2 + k + 2 Let s(b) = -37*b**2 - 70*b - 10. Let j(p) = 37*p**2 + 56*p + 10. Calculate 5*j(i) + 4*s(i). 37*i**2 + 10 Let a(m) = 217*m + 24. Let b(w) = 650*w + 66. What is -17*a(o) + 6*b(o)? 211*o - 12 Let m(l) = 20*l**3 + 2*l**2. Let r(b) = -b**2. Let o be ((-37)/(-555))/((-5)/75). What is o*m(j) - 3*r(j)? -20*j**3 + j**2 Let h(r) = r + 1. Let w be (-4)/(-6) - ((124 - 142) + 44/3). Let y = 1 - 0. Let s(m) = -m - 5. Calculate w*h(q) + y*s(q). 3*q - 1 Let o(g) = -3. Let x = -2 + 4. Let l(h) = 2*h - 4*h - 3 + 4 + 1 + h. Give x*o(m) + 3*l(m). -3*m Let p(a) = -67*a**3 - 14*a**2 + 6*a + 3. Let c be 2*(104/64 - (-2 - 170/(-80))). Let s(r) = 22*r**3 + 5*r**2 - 2*r - 1. Calculate c*p(d) + 8*s(d). -25*d**3 - 2*d**2 + 2*d + 1 Let g(x) = -2881*x + 18232. Let b(l) = -31*l + 196. Let t(h) = -559*b(h) + 6*g(h). Let z(a) = 1. Calculate -t(y) - 172*z(y). -43*y Let a be 9/(-15)*(-1200)/8. Let s(b) = -3*b + 18. Let h(x) = -1. Determine a*h(w) + 5*s(w). -15*w Let i(x) = 4*x - 32. Let r be i(9). Let n(p) = -p + 3 - 2 + 2 - r. Let a(d) = 1. Let k(m) = a(m) + n(m). Let j(u) = -6*u + 4. What is j(q) - 4*k(q)? -2*q + 4 Let b(s) = 7*s + 1424. Let o(f) = 4*f + 710. What is -3*b(p) + 5*o(p)? -p - 722 Let t(x) = 14547 - 14543 + 15*x - 5*x. Let k(f) = 15*f + 6. Give -5*k(p) + 7*t(p). -5*p - 2 Let p(c) = -463*c**2 - 15*c - 7. Let h(l) = 237*l**2 + 8*l + 4. What is -7*h(g) - 4*p(g)? 193*g**2 + 4*g Let f(u) = -2*u**2 - 5*u - 16. Let m(s) = -8*s**2 - 6*s + 26. Let g(n) = -5*n**2 - 4*n + 14. Let v(r) = -10*g(r) + 6*m(r). What is 4*f(o) + 5*v(o)? 2*o**2 + 16 Let j(c) = -3087*c**3 - 9*c**2 + 8*c - 45. Let o(q) = -772*q**3 - 2*q**2 + 2*q - 10. What is 2*j(y) - 9*o(y)? 774*y**3 - 2*y Let m(a) =
{ "pile_set_name": "DM Mathematics" }
-2/7, 0 Let s = -2827 + 2829. Factor -7/3 - 13/3*n + 1/3*n**3 - 5/3*n**s. (n - 7)*(n + 1)**2/3 Suppose -112/3 + 24*h**3 - 7/3*h**4 + 344/3*h**2 + 96*h = 0. What is h? -2, 2/7, 14 Let v(c) be the third derivative of -c**9/504 + c**8/840 + c**3/6 - 8*c**2. Let x(r) be the first derivative of v(r). Factor x(k). -2*k**4*(3*k - 1) Let z(q) = -32*q + 32. Let x be z(1). What is k in 0*k**2 + x + 0*k**4 - 1/3*k**3 + 0*k + 1/3*k**5 = 0? -1, 0, 1 Let a(c) = -30*c + 130. Let j(v) = v**2 - v - 1. Let q be (-2)/(-5)*(-4 - 1). Let y(x) = q*a(x) - 4*j(x). Factor y(h). -4*(h - 8)**2 Let s(a) be the first derivative of a**6/2 + 48*a**5/5 + 45*a**4/4 + 276. Factor s(h). 3*h**3*(h + 1)*(h + 15) Let g = -792 + 794. Let d(o) be the first derivative of -g*o**2 + o**4 + 7 + 4*o - 4/3*o**3. Solve d(a) = 0. -1, 1 Suppose -5*m - 9*z - 5 = -4*z, -18 = 6*z. Factor -1/4*o**4 + 0*o**m + 0 + 0*o - 1/4*o**3. -o**3*(o + 1)/4 Factor 81/4*u + 17 - 5/4*u**2. -(u - 17)*(5*u + 4)/4 Let j(s) be the third derivative of s**6/180 + 7*s**5/18 + 8*s**4 - 36*s**3 + 2*s**2 - 234. Factor j(b). 2*(b - 1)*(b + 18)**2/3 Let o = -25 - -29. Suppose -l = l - o. Factor 4*g**2 - 13 + 15*g - 7*g**l + 1. -3*(g - 4)*(g - 1) Let t be 30/(-9)*108/8. Let m = t + 136/3. Let 0 + m*r**2 - 1/3*r = 0. What is r? 0, 1 Let m(i) be the third derivative of -i**5/150 + 2*i**4/5 - 102*i**2 - 2. Factor m(b). -2*b*(b - 24)/5 Let l(r) = -12*r**2 + 471*r + 474. Let b(w) = -3*w**2 + 117*w + 118. Let m(o) = -9*b(o) + 2*l(o). Factor m(d). 3*(d - 38)*(d + 1) Let l = -502/9 - -56. Let z(t) = 289*t + 3181. Let y be z(-11). Factor -2/9*c**3 - 2/3 + 10/9*c - l*c**y. -2*(c - 1)**2*(c + 3)/9 Let d be (4 + 0)/(5 + 2 + 7). Let b(v) be the first derivative of d*v**2 - 2/21*v**3 + 0*v - 8. Find r such that b(r) = 0. 0, 2 Suppose 4*u - 55*u = 18*u. Suppose 32/7*o + u + 4/7*o**2 = 0. Calculate o. -8, 0 Let s(o) = -o**2 + 4*o + 2. Let a be s(4). Suppose a*z + 12 = -3*d, 3*z - 20 = 4*z + 5*d. Factor z + 5/4*b**3 + 0*b**2 + 0*b. 5*b**3/4 Let p = -3 - -6. Suppose p = 5*h - 4*h. Suppose 0 + 2/3*n**4 - 8/3*n**h - 4/3*n + 10/3*n**2 = 0. Calculate n. 0, 1, 2 Let m(d) be the second derivative of d**6/30 - d**5/6 + d**4/3 - 13*d**3/6 - 35*d. Let f(c) be the second derivative of m(c). Factor f(q). 4*(q - 1)*(3*q - 2) Let o = -98/5 - -1088/55. Let b(m) = -m**3 + 7*m**2 + 2*m - 46. Let v be b(6). Factor -2/11*p + 0 + o*p**v. 2*p*(p - 1)/11 Let h = 48 - 46. Find o, given that 0*o - 33*o**2 + 43*o**h - 30 - 5*o = 0. -3/2, 2 Determine j so that 439*j + 12*j**5 - 108*j**2 - 42*j**3 + 430*j - 893*j + 27*j**4 = 0. -2, -1/4, 0, 2 Let v(a) be the first derivative of -3*a**4/4 - 47*a**3 - 1725*a**2/2 - 1587*a + 20. Factor v(s). -3*(s + 1)*(s + 23)**2 Let b = 745 + -745. Let z(q) be the first derivative of 1/15*q**5 + b*q**4 + 2 + 0*q**2 - 2/9*q**3 + 1/3*q. Solve z(r) = 0. -1, 1 Let o(r) = -r**3 - r**2 - 8*r - 8. Let j be o(-6). Suppose 0 = x - 5*x + j. Solve 4*s - s**4 - 51*s**2 + x*s**2 + 0*s**4 - s**3 = 0 for s. -2, -1, 0, 2 Factor 1587/5*c + 3/5*c**3 - 138/5*c**2 + 0. 3*c*(c - 23)**2/5 Let g(o) be the second derivative of 0*o**3 + 0 + 1/42*o**7 - 1/10*o**6 + 20*o + 0*o**4 + 1/10*o**5 + 0*o**2. Factor g(y). y**3*(y - 2)*(y - 1) Let u(w) be the second derivative of -1/140*w**5 + 1/84*w**4 - 2*w + 0 + 1/42*w**3 - 1/14*w**2. Suppose u(t) = 0. Calculate t. -1, 1 Solve 1/9*i**4 - i**3 - 5/3*i + 23/9*i**2 + 0 = 0. 0, 1, 3, 5 Let t(i) = -2*i**4 + 4*i**3 - 30*i**2 + 28*i - 8. Let m(k) = 3*k**4 - 4*k**3 + 31*k**2 - 30*k + 10. Let j(n) = 4*m(n) + 5*t(n). Factor j(s). 2*s*(s - 2)*(s - 1)*(s + 5) Let k(w) be the second derivative of -w**5/5 - 38*w**4/3 - 70*w**3/3 + 148*w**2 + 86*w + 2. Factor k(h). -4*(h - 1)*(h + 2)*(h + 37) Factor 24/5*a - 8/5 - 2*a**2. -2*(a - 2)*(5*a - 2)/5 Determine u, given that 5/3*u**3 + 0 - 1/3*u**5 - u**4 + u**2 - 4/3*u = 0. -4, -1, 0, 1 Let w(c) = 2*c**2 + 6*c. Let f be (-10)/3 - 4/(-12). Let n(y) = -2*y**2 - 7*y. Let k(a) = f*w(a) - 2*n(a). Let k(v) = 0. Calculate v. -2, 0 Let h be (-1)/(4/8) + 6. Let l(u) be the second derivative of 0 - 1/7*u**2 - u - 2/21*u**3 - 1/42*u**h. Solve l(p) = 0. -1 Let z(l) be the first derivative of -32*l**2 - 6*l - 1/3*l**4 - 16/3*l**3 - 3. Let a(y) be the first derivative of z(y). Find u such that a(u) = 0. -4 Suppose 12 = -6*l + 12*l. Let p(z) be the first derivative of -2/5*z**5 + 0*z**4 + 1/6*z**6 + 2/3*z**3 + 0*z - 1/2*z**l - 1. Let p(o) = 0. What is o? -1, 0, 1 Suppose u - p + 0*p = 14, 0 = u - 5*p - 10. Let h = u - 13. Factor -6*t**3 - 10*t + 2*t**h + 5*t**3 - 2 + 11*t. -(t - 2)*(t - 1)*(t + 1) Let k = 656 - 654. Let h(n) be the first derivative of -1/4*n**3 + 0*n**k + 0*n - 6 + 1/16*n**4. Determine l so that h(l) = 0. 0, 3 Let j(z) be the second derivative of 64*z**6/5 - 228*z**5/5 + 51*z**4/2 - 49*z**3/8 + 3*z**2/4 + 311*z. Factor j(y). 3*(y - 2)*(8*y - 1)**3/4 Let z(w) be the first derivative of w**3/3 + 56*w**2 + 3136*w + 149. Solve z(f) = 0. -56 What is s in 103*s**2 - 98*s**2 - 3 + 5 + 19 + 19 - 30*s = 0? 2, 4 Suppose -2*k = -3*u + 84, -u = -4*k - 0*u - 148. Let v be (-136)/k - 4/(-18). Solve -1/2*m**v - 3/2*m**3 + 0 - 3/2*m**2 - 1/2*m = 0 for m. -1, 0 Suppose -a - 7 = -19*j + 18*j, 0 = -3*j - 3*a - 21. Let 2/7*m**2 + j - 4/7*m**5 - 18/7*m**3 - 18/7*m**4 + 6/7*m = 0. What is m? -3, -1, 0, 1/2 Let k(f) be the third derivative of f**6/720 + f**5/60 + f**4/16 + 23*f**3/6 - 15*f**2. Let q(c) be the first derivative of k(c). Find v such that q(v) = 0. -3, -1 Let r be -1 + 42/4*32/48. Let v(d) be the second derivative of 0*d**4 + 0*d**3 + 0 - 2/15*d**r - 1/10*d**5 + 0*d**2 - 1/21*d**7 + 11*d. Factor v(l). -2*l**3*(l + 1)**2 Let s(b) = -10*b**3 + 20*b**2 - 35*b - 20. Let r be 312/20 - ((-21)/15 + 2). Let p(k) = k**3 - k**2 + k. Let z(x) = r*p(x) + s(x). Let z(j) = 0. What is j? -2, -1, 2 Let o(j) be the third derivative of -j**8/84 + 4*j**7/35 - j**6/3 + 11*j**4/6 - 4*j**3 + 179*j**2. Solve o(w) = 0. -1, 1, 2, 3 Let w = -24744/5 - -4949. Determine z, given that -w + 0*z + 1/5*z**2 = 0. -1, 1 Let j(l) be the first derivative of -l**3/15 + 6*l**2 - 180*l + 97. Solve j(k) = 0 for k. 30 Let n(a) be the third derivative of -65/24*a**4 - 10*a**2 + 0 + 5/3*a**3 - 5/24*a**6 + 4/3*a**5 + 0*a. Solve n(r) = 0 for r. 1/5, 1, 2 Factor -4*k**3 - 9*k**3 + 20*k**4 + 18*k**3 - 30*k**2 + 5*k**5. 5*k**2*(k - 1)*(k + 2)*(k + 3) Let z(n) be the third derivative of -14*n**2 + 0*n**4 + 0 + 0*n**3 - 1/6*n**5 - 5/336*n**8 + 0*n + 0*n**7 + 1/8*n**6. Factor z(h). -5*h**2*(h - 1)**2*(h + 2) Let u(c) = 48*c**2 + 6993*c + 551124. Let w(z) = 7*z**2 + 1000*z + 78732. Let l(x) = -4*u(x) + 27*w(x). Suppose l(i) = 0. What is i? -162 Factor -3/4*r**2 + 9/4*r - 9/4*r**3 + 0 + 3/4*r**4. 3*r*(r - 3)*(r - 1)*(r + 1)/4 Suppose 65 = 15*y - 2*y. Let q = -2 + 6. Suppose 2*w**4 + 5*w - 2 + 4*w - q*w**3 - y*w = 0. What is w? -1, 1 Let a(p) be the first derivative of 2*p**5/35 + 15*p**4/14 + 26*p**3/7 + 37*p**2/7 + 24*p/7 - 82. Factor a(d). 2*(d + 1)**3*(d + 12)/7 Let g(y) be the second derivative of 3*y + 1/180*y**5 - 1/6*y**3 - 5*y**2 + 0 - 1/36*y**4. Let z(m) be the first derivative of g(m). Factor z(c). (c - 3)*(c + 1)/3 Let u(a) be the second derivative of 0*a**2 + 1/4*a**4 - 3/10*a**6 + 0*a**3 - 1/7*a**7 + 6 - 3*a + 0*a**5. Factor u(v). -3*v**2*(v + 1)**2*(2*v - 1) Let k(z) be the third derivative of 0*z**3 - 1/70*z**7 + 1/2*z**4 + 0 - 2/5*z**5 - 3*z**2 + 0*z + 1/8*z**6. Factor k(q). -3*q*(q - 2)**2*(q - 1) Let i(f) = f**2 + 3*f - 5. Let z be i(-8). Determine o, given that z*o**2 - o**3 - 29*o + 45 - 29*o - 4*o**3 - 17*o = 0. 1, 3 Let z = -11 + 12. Let o(l) = 3*l**4 - 2*l**3 - 11*l**2 - 5. Let a = 0 + -5. Let c(g) = -g**3 - g**2 - 1. Let u(m) = a*c(m) + z*o(m). Factor u(k). 3*k**2*(k - 1)*(k + 2) Let q(d) be the third derivative of d**7/630 - d**6/60 - 11*d**5/180 + 5*d**4/6 + 50*d**3/9 - 12*d**2 + 3. Factor q(v). (v - 5)**2*(v + 2)**2/3 Let l be 7/((-28)/(-41)) + (-2)/8. Let k = l - 8. Suppose k*s**3 + s**4 - 3/2*s**2 - 5/4*s - 3/4*s**5 + 1/2 = 0. What is s? -1, 1/3, 1, 2 Let t be (2/7)/(32 - (-223)/(-7)). Determine a so that 2*a**3 - 8/9*a - 32/9*a**t + 0 = 0. -2/9, 0, 2 Let j(q) = 22*q**2 + 13*q - 2. Let d = 24 - 20. Let s(l) = 23*l**2 + 14*l - 1. Let y(h) = d*j(h) - 5*s(h). What is n in y(n) = 0? -1/3 Let p = -66 + 65. Let b be (
{ "pile_set_name": "DM Mathematics" }
he third derivative of -23*x**v - x - x**6 + 10*x - 30*x**3 - 10*x + 4*x**2 wrt x? -120*x**3 - 318 Let z(t) = 3*t**4 - t**2 - 1. Let i(m) = 2002*m**5 + 12*m**4 - 4*m**2 - 1553*m - 2. Let k(v) = -i(v) + 4*z(v). Find the second derivative of k(c) wrt c. -40040*c**3 Suppose i + 4*w - 1 = 0, 0*i + 12 = 2*i + 3*w. Let o(g) be the first derivative of -21 - 23*g + 8 - i*g**3 - g + 10. Find the first derivative of o(t) wrt t. -54*t Find the first derivative of 20270 - 8352 - 5133*t**3 - 9304 wrt t. -15399*t**2 Let b(y) be the first derivative of -2013*y**4/4 + 307*y**2/2 - y - 1485. Find the second derivative of b(r) wrt r. -12078*r Let v(b) be the second derivative of -3*b**8/28 - 19*b**6/15 + 83*b**4/12 - b**3/6 - 2*b + 38. What is the third derivative of v(j) wrt j? -720*j**3 - 912*j Let n be ((-2)/8)/((-9)/108). What is the second derivative of -29*s**2 + 117*s**n - 38*s**3 + 11 + 2*s + 29*s**2 wrt s? 474*s Let s(g) be the second derivative of 7/2*g**2 - g**5 - 3/2*g**3 + 14*g + 0*g**4 - 1. What is the second derivative of s(w) wrt w? -120*w Let w(k) = k**3 - 6*k**2 + 6*k + 6. Let o = 44 + -39. Let m be w(o). Find the third derivative of 24*q**2 + 3*q**5 - 10*q**5 + m*q**4 - 11*q**4 wrt q. -420*q**2 Suppose -106 = 2*v - 112. What is the first derivative of -192 + 2*k**4 - 25*k**4 - v + k**4 wrt k? -88*k**3 Differentiate 10*g + 358 + 318 - 931*g - 501*g with respect to g. -1422 Let c(j) be the first derivative of 62 + 0*j**3 + 23*j**2 - 59/6*j**6 + 0*j**5 + 0*j**4 + 0*j. What is the second derivative of c(v) wrt v? -1180*v**3 Suppose 0 = -13*t + 64 + 79. Suppose 0 = -6*m + 3*m + 3*i + 69, 0 = 3*i - 15. Differentiate m*c**3 - t*c**3 + 36 - 13*c**3 wrt c. 12*c**2 Differentiate -261 - 327*i + 165*i + 6 - 8008*i**3 + 162*i wrt i. -24024*i**2 Suppose 0 = 3*i - 3348 + 3336. What is the third derivative of -36*x**2 + 44*x**3 - 4*x**i - 15*x**3 + 5 - 8*x**3 - 15*x**3 wrt x? -96*x + 36 Differentiate -1425 + 2521*q**3 + 26*q**4 + 78*q - 2523*q**3 + 9519 with respect to q. 104*q**3 - 6*q**2 + 78 Let x(c) = -c**3 + 14*c**2 + 14*c + 22. Let a be x(15). Suppose -a*p + 155 = 22. Find the second derivative of -10*z - p*z**5 + 4*z**5 - 10*z wrt z. -300*z**3 Let k(d) be the third derivative of d**7/420 + d**6/24 + 25*d**4/12 - 8*d**3/3 - 9*d**2 - 3. Let j(a) be the first derivative of k(a). Differentiate j(m) wrt m. 6*m**2 + 30*m Let l(o) be the second derivative of 0*o**4 + 0*o**3 - 57 + 7/2*o**2 + o - 13/5*o**6 + 0*o**5. Find the first derivative of l(m) wrt m. -312*m**3 Let o(z) be the first derivative of -47*z**5/5 + 129*z**4/4 + 7*z**3/3 + 3*z**2/2 - 73*z - 4683. Find the third derivative of o(c) wrt c. -1128*c + 774 Let i(o) be the second derivative of -4136*o**3/3 + 7427*o**2/2 - 1619*o. What is the first derivative of i(d) wrt d? -8272 Let u(q) = 11115*q**2 + 7034*q - 11. Let h(k) = -5563*k**2 - 3516*k + 6. Let t(x) = -11*h(x) - 6*u(x). Find the second derivative of t(c) wrt c. -10994 Let i = 126 - 121. What is the second derivative of 0 - 3*z - 127*z**i + 84*z + 133*z + 0 wrt z? -2540*z**3 Let m(s) be the first derivative of 18 + 17*s + 203/4*s**4 + s**3 + 0*s**2. What is the third derivative of m(u) wrt u? 1218 Let n = -40 - -43. Find the third derivative of 16*h**4 + 33*h**5 + 4*h**4 - 10*h**2 - 19*h**4 - n wrt h. 1980*h**2 + 24*h Let d = 34 - 16. Suppose -15*h = -17*h + d. Differentiate 8 + h - 4 + 14*l wrt l. 14 Let w(g) be the first derivative of 15*g**7/14 + 5*g**4/12 + 86*g - 16. Let q(j) be the first derivative of w(j). Find the third derivative of q(u) wrt u. 2700*u**2 Let o = 2897/310 + 24/155. Let t(f) be the first derivative of o*f**2 + 10 - 23/3*f**3 + 0*f. Find the second derivative of t(y) wrt y. -46 Let v be -1*(-33)/6 - 3/6. What is the second derivative of -38*i**v + 40*i**4 - 78*i**4 + 128*i + 38*i**4 - i**2 wrt i? -760*i**3 - 2 Let w(a) = 4716*a**3 - 111*a**2 - 171. Let k(b) = -1573*b**3 + 38*b**2 + 57. Let r(m) = -17*k(m) - 6*w(m). What is the third derivative of r(s) wrt s? -9330 Let m(c) be the first derivative of -c**6/3 - 362*c**5/5 + c**3 - 115*c**2/2 + 1217. Find the third derivative of m(k) wrt k. -120*k**2 - 8688*k What is the second derivative of a**2 + 2*a + 574 + 248*a**5 - 1757 + 894 wrt a? 4960*a**3 + 2 Let g(v) be the third derivative of v**7/60 - v**6/120 - 7*v**4/8 - 175*v**3/6 - 282*v**2. Let b(k) be the first derivative of g(k). Differentiate b(c) wrt c. 42*c**2 - 6*c Find the first derivative of 2968 - 513 - 14*n**2 + 45*n - 54*n + 91*n wrt n. -28*n + 82 Let b(i) be the first derivative of -27*i - i**4 + 11/6*i**3 + 0*i**2 - 15. Let h(d) be the first derivative of b(d). Find the second derivative of h(a) wrt a. -24 What is the second derivative of 2155*y + 366*y**5 + 76*y**5 - 266*y**5 + 921*y**5 wrt y? 21940*y**3 What is the second derivative of 3674*b**5 - 2*b - 459*b**5 + 644*b**5 + 1033 + 571*b**5 + 0*b wrt b? 88600*b**3 Let x(p) = 11358*p**3 + 2598*p**2 + 30*p + 5. Let z(i) = -i**3 - 2*i**2 - 6*i - 1. Let u(y) = -x(y) - 5*z(y). Find the third derivative of u(c) wrt c. -68118 Let d(y) = 78*y + 57. Let p(u) = -46*u - 57 - 45*u + 13*u. Let n(f) = -4*d(f) - 3*p(f). Differentiate n(a) wrt a. -78 Suppose 2*r = 5*r, 2*m = -5*r + 4. What is the derivative of -47 + m + 16*i + 14 wrt i? 16 Let q = -36 - -39. Differentiate 62*v**q - 56 - 2*v**2 - 49*v**3 + 0*v**2 wrt v. 39*v**2 - 4*v Suppose 0*l = 5*l + 20, h + 4*l - 129 = 0. Let m = h + -128. Find the third derivative of 24*u**4 - 46*u**2 + m*u**4 + 5*u**2 + u**2 wrt u. 984*u Let k(f) be the second derivative of 179*f**8/56 + 11*f**4/12 + 1215*f. What is the third derivative of k(r) wrt r? 21480*r**3 Let w(d) = 22 + 6*d + 17*d**2 - 25 + d + 2*d**3. Let p be w(-8). Find the second derivative of p*h + 9*h - 6*h**2 + h wrt h. -12 Let o(w) be the first derivative of -701*w**5/5 + 7*w**3/3 - 31*w**2/2 - 2422. What is the third derivative of o(h) wrt h? -16824*h Let d be (-1 + -8)*(12 + (-342)/27). What is the third derivative of -9 + 120*p**2 - 21*p**d - 117*p**2 + 3 wrt p? -2520*p**3 Suppose 0 = 18*c - 3 - 51. Find the second derivative of -6*z**c + 1 - 8*z**3 - 2 - 21826*z + 21753*z wrt z. -84*z Find the second derivative of -5 + 173*i - 4633*i**4 - 2*i**3 + 7 + 3751*i**4 + 2*i**3 wrt i. -10584*i**2 What is the second derivative of 1370*s - 2301 + 118*s**2 + 2301 + 981*s wrt s? 236 Let z = -19 + 24. Suppose 2*r - z*v - 23 = r, -5*v - 14 = 2*r. What is the third derivative of -14*x**2 - 13*x**3 + 3*x**r + 0*x**3 wrt x? -60 Let n(x) be the third derivative of 86*x**4/3 - 293*x**3/2 + 192*x**2 + 1. What is the first derivative of n(m) wrt m? 688 Let p(b) = -b**2 - 9*b - 6. Let r be p(-8). What is the second derivative of r + 86*k**2 + 6*k + 2*k - k + 6*k wrt k? 172 Let t(i) be the third derivative of 0 + 0*i**3 + 0*i + 53/20*i**6 + 0*i**4 - 21/20*i**5 - 165*i**2. What is the third derivative of t(b) wrt b? 1908 Suppose -5*r + 4*p = -100, -3*p = 3*r - p - 60. Let u be -2 - (5*8/r - 44). What is the first derivative of 11*n + 17 - u + 14 wrt n? 11 Let z(d) be the first derivative of 0*d**3 + 63 + 0*d**4 - 2/5*d**5 + 57/2*d**2 - 59*d. What is the derivative of z(b) wrt b? -8*b**3 + 57 Let x(s) = 16*s**2 - 6*s - 9. Let n be 12/(-8) - (-19)/2. Let w = 14 - n. Let o(q) = q + 1. Let y(u) = w*o(u) + x(u). Differentiate y(t) wrt t. 32*t Let d(o) be the second derivative of 5*o**4/12 + 2*o**3/3 - 2*o**2 + 29*o. Let b be d(-3). Find the third derivative of 86 + 12*s**2 - b*s**4 - 86 wrt s. -696*s What is the second derivative of -152*n - 35*n**4 + 458*n**5 + 490*n**5 - 960*n**5 wrt n? -240*n**3 - 420*n**2 What is the second derivative of 888925 - 10610*y + 19*y**3 - 888925 - 73*y**4 wrt y? -876*y**2 + 114*y Let d be (-3 - 0)*28/21. Let p be (22/(-4))/(d/(-24)*-3). Find the first derivative of p*q + 12*q - 11*q + 4 wrt q. 12 Suppose 9*j - 16149 = 36294. Differentiate 5827*z - j*z + 87 + 57*z**2 wrt z. 114*z What is the third derivative of 7*l - 4*l - 62*l**2 + 0*l + 12*l + 2392*l**3 + 355*l**3 wrt l? 16482 Let i(s) be the third derivative of -47*s**2 + 0 - 79/6*s**3 + 0*s - 31/24*s**4. What is the derivative of i(m) wrt m? -31 Let s(x) be the third derivative of -8561*x**6/120 - 1645*x**4/24 - x**3/6 - 1291*x**2. Find the second derivative of s(j) wrt j. -51366*j Let l(w) = -46*w**3 -
{ "pile_set_name": "DM Mathematics" }
(-2334)/(-18). Suppose 4*b = -w - 4*w + p, -3*b + 5*w + 88 = 0. Let m = -119 - -127. Calculate the remainder when b is divided by m. 7 Let s(y) = -3*y + 19. Let c(b) = 4*b - 18. Let z(u) = 2*c(u) + 3*s(u). What is the remainder when 63 is divided by z(5)? 15 Let n = 40 + -43. What is the remainder when 1/((-2)/(-372)*3) + n is divided by 20? 19 Let y be (8 - -1)/3 - 38. Let l be (-56)/y - (-2)/5. What is the remainder when 74 - ((-2)/2 + l) is divided by 25? 23 Suppose -4*v + 311 = 3*f, -2*f + 4*f = 3*v + 196. Calculate the remainder when f is divided by 18. 11 Suppose 3*f - 4*n - n - 3322 = 0, 3*n + 2216 = 2*f. Calculate the remainder when f is divided by 62. 60 Let c = -1 - -15. Suppose -9*x + c*x = 90. What is the remainder when 71 is divided by x? 17 Suppose 5*m = 3*u + 825, 0 = m + 165*u - 160*u - 193. What is the remainder when m is divided by 69? 30 Let f = 5 + -2. Suppose f*w - 8 - 58 = 0. Suppose 2*p + u - 7 = -0*u, -3*u = 5*p - 15. What is the remainder when w is divided by p? 4 Let f(r) = -r**3 - 2*r**2 + 32*r + 9. Calculate the remainder when f(-7) is divided by 12. 6 Suppose 0 = -4*z + 3*i - 212 + 583, 5*z - 3*i = 460. Let a(b) = -b**2 - 7*b. Calculate the remainder when 2/4*(9 + z) is divided by a(-5). 9 Suppose 0 = -8*u + 13*u - 605. Let t = 63 - 32. What is the remainder when u is divided by t? 28 Suppose -4*g - f + 15 = -15, g = -5*f + 17. What is the remainder when 69 is divided by g? 6 Suppose n = 5*i + 3*n - 1336, 4*n = -2*i + 528. Calculate the remainder when i is divided by 18. 16 Let h = -130 + 159. Calculate the remainder when 55 is divided by h. 26 Let h = -20 - -25. Suppose -225 = -5*k - 5*l, -k - h*l + 66 = 25. Suppose 150 = 4*b + k. Calculate the remainder when b is divided by 9. 8 Suppose 4*m - 1076 = 3*m - b, -1 = b. What is the remainder when m is divided by 15? 12 Suppose v - 10 = 25. Suppose 108 = -2*p + 2*g, -3*g - 120 = 2*p - g. What is the remainder when v is divided by p/(-9)*(-18)/(-6)? 16 Let n = 157 - 118. What is the remainder when n is divided by 10? 9 Let d(f) = f**2 + 4*f**2 + 3*f**3 - 3 - 2*f**3 - 8*f. What is the remainder when d(-5) is divided by ((-78)/(-9))/(8/12)? 11 Let q(z) = 399 - 203 + 2*z - 178. What is the remainder when 21 is divided by q(-6)? 3 Let c(d) = 4*d - 16. What is the remainder when (-6228)/(-207) + 2/(-23) is divided by c(6)? 6 Let r = -1192 + 1321. Calculate the remainder when r is divided by 41. 6 Let j(a) = 5*a + 71. What is the remainder when 309 is divided by j(-8)? 30 Let h(k) = -64*k**3 - 16*k**2 - 29*k + 3. Calculate the remainder when h(-2) is divided by 30. 29 Suppose -251 = -3*r - 2*r + 3*l, 5*l = -4*r + 186. What is the remainder when r is divided by ((-57)/12 - 5)*8/(-3)? 23 Suppose v = -4*r + 12, v = -v - 5*r + 18. Suppose -2*y + 99 = k + 29, -v*y = k - 140. Calculate the remainder when y is divided by 19. 16 Suppose -3*v + k = -69, -2*v - 5*k = -7*v + 115. Let s = 821 - 812. Calculate the remainder when v is divided by s. 5 Let t(x) = -187*x - 98. What is the remainder when t(-2) is divided by 88? 12 Let v = -8 + 11. Suppose -96 = -v*f + 699. Suppose -5*b + f = 60. What is the remainder when b is divided by 11? 8 Let h(t) = t**2 - 17*t + 17. Let c be h(13). Let z be 2/(-9) - 112/(-18). Calculate the remainder when (-2)/z + c/(-15) is divided by 2. 0 Suppose 2*w + 48 = 3*l + 5*w, -2*l - w = -30. Suppose 3*r - 54 - 132 = -5*y, 2*r - 5*y - 149 = 0. Calculate the remainder when r is divided by l. 11 Let z(p) = -p**2 + 12*p - 13. Let g = -1 + 11. What is the remainder when z(g) is divided by 4? 3 Let b(y) = -y**3 + 4*y**2 + y + 6. Let g(h) = 1. Let u(k) = -b(k) + 3*g(k). Calculate the remainder when 67 is divided by u(5). 16 Let j = -2744 + 2754. What is the remainder when 1878 is divided by j? 8 Let p be 1 - ((2 - -1) + -6). Suppose i + 2*c = 7*c + 20, p*i = -3*c + 195. Let h = i + -26. What is the remainder when 36 is divided by h? 17 Let y = 421 - 402. What is the remainder when 149 is divided by y? 16 Suppose 2*r + 14 = -5*f + f, 0 = r + f + 2. Calculate the remainder when 83/8 + 3/(-8) is divided by r. 1 Suppose 3*a + 96 = 5*a. Let n be 153/(-9)*(-2)/(-6)*6. Let i = a - n. What is the remainder when i is divided by 14? 12 Suppose 2*g - 6*g + 180 = 0. Suppose -5*c + v = -g, -4*v + 35 = c + v. What is the remainder when c is divided by 6? 4 Suppose 0 = 21*q + 22*q - 516. What is the remainder when 15 is divided by q? 3 Let n(b) = b**2 - 18*b + 93. Calculate the remainder when 221 is divided by n(14). 36 Let l = -12411 - -12417. Calculate the remainder when -2*(-15)/4*2 is divided by l. 3 Let p(z) = 4*z + 20. Let t be p(-4). Let m(j) = j**2 + 5*j + 5. What is the remainder when (0 - (-48)/(-9))/(t/(-6)) is divided by m(-5)? 3 Suppose 414 = 5*q + 2*w, 4*q = 5*q - 2*w - 78. Suppose -2*l + 0*l = 2*s - 90, 2*l - 4 = 0. What is the remainder when q is divided by s? 39 Let w(x) = 2*x**3 - 13*x**2 - 2*x - 9. Let n be -2*((-687)/6 - -2). Suppose 3*t - z = -3*z + 234, 3*t = z + n. What is the remainder when t is divided by w(7)? 24 Let p = -6 - -2. Let l be (-26)/(-30) - p/30. What is the remainder when (l - 5)*(-7 - 1) is divided by 17? 15 What is the remainder when 104 is divided by ((-147)/15)/((-3)/15)? 6 Suppose -2*v + 13 = s, -3*s + 31 = 3*v + 10. What is the remainder when 54/(-45)*35/(-2) is divided by v? 3 Let q(x) = x**3 + 3*x**2 - 1. Let t be q(-3). Suppose -2*m + 8 = 5*f, -5*f + 2*m = -3*m - 15. Calculate the remainder when 77 is divided by (-1)/f*t*40. 17 Suppose 0*f - f - 10 = 0. Let d(z) = -z**3 - 9*z**2 + 7*z - 5. What is the remainder when d(f) is divided by 9? 7 Suppose -m = 2*x - 73 - 85, -2*x - 4 = 0. Calculate the remainder when m is divided by 82. 80 Suppose 11 = v - 13. Let y(o) = 38*o**2 + o. Let l be y(1). Let d = -26 + l. What is the remainder when v is divided by d? 11 Let s(w) = -w**2 - 7*w - 4. Let b be s(-6). Suppose 5*o - 2*t - 9 = 30, 0 = o - b*t - 3. Suppose c + o = 23. What is the remainder when 25 is divided by c? 11 Let j = 5 - -10. Let d = 32 - j. What is the remainder when 33 is divided by d? 16 Let b = -779 - -810. What is the remainder when b is divided by 14? 3 Suppose 5*c - 56 = 159. Suppose 0 = 11*o + 54*o - 975. Calculate the remainder when c is divided by o. 13 Let h(w) = 14*w - 109. Let p = -1 + 6. What is the remainder when p is divided by h(8)? 2 Suppose -3*r = -2 - 1. Let p be 43 + r - 1 - -1. Let f = -12 + p. What is the remainder when f is divided by 11? 10 What is the remainder when (-6657)/(-189) - (1 - 21/27) is divided by 23? 12 Let n(j) = j**3 - 2*j**2 - 21*j + 39. Calculate the remainder when n(9) is divided by 14. 11 Let c = -25 - -26. What is the remainder when 31 is divided by 6/2 + (c + -2 - -11)? 5 Suppose -2*n + 7*k + 57 = 12*k, -n + 2*k = -24. Calculate the remainder when 33 is divided by n. 7 Suppose 7*f = 5*f + 2*k + 48, -3*f + 4*k = -77. What is the remainder when f is divided by ((-3)/2)/((-3)/20)? 9 Let k(q) = -q**3 - 5*q**2 + q + 7. Let m be k(-5). Suppose 4*f - 4*s = -f + 35, -2*s = 4*f - m. What is the remainder when 12 is divided by f? 0 Suppose 4*d = 5*t + 270, 0 = -4*t - 9 + 1. Calculate the remainder when d is divided by 44. 21 Let k(z) = -z**2 + 14*z - 13. Let a be k(13). Calculate the remainder when 29 is divided by 1/(a + (-4)/(-20)). 4 Suppose 4*m - 373 = -261. Calculate the remainder when m is divided by 12. 4 Let z = -27 + 45. Suppose 4*s = 7*s - z. Suppose -50 = -s*r + r - 5*k, -74 = -5*r + 3*k. Calculate the remainder when r is divided by 8. 5 Let n = -2480 - -3347. What is the remainder when n is divided by 10? 7 Let r = 1339 + -1299. Calculate the remainder when r is divided by (-22)/(-3) + 1/(-3). 5 Let l = 27 + -7. Suppose -a + 4*u = -3*a + l, 0 = 4*u - 8. Calculate the remainder when 102 is divided by (-2)/a - (-316)/12. 24 Suppose 3*g + 5 = -2*g. Let b = 12 - g. What is the remainder when 87 is divided by b? 9 Suppose -2*m = -m + 2, 0 = -4*p - m - 34. Let y(s) = -5*s + 2. Let x be y(p). Let v = -15 + x. Calculate the remainder when 78 is divided by v. 24 Suppose 3*n - 18 = -3*l, 4 = n - 2*l + 1. Let f be (127 - (-2 + n)) + 1. Suppose f = -4*m + 9*m. What is the remainder when 99 is divided by m? 24 Suppose 0 = 3*x - 7 - 17. Suppose -5*n = -28 + x. What is the remainder when 5 - (
{ "pile_set_name": "DM Mathematics" }
= y - 578. What is g rounded to 6 decimal places? 0.000082 Let d = 143.5 - 143.49997587. What is d rounded to 5 decimal places? 0.00002 Let f = -338 - -219. Let v = f + 119.01344. What is v rounded to 3 decimal places? 0.013 Let x = 12178213.000154 - 12178280. Let m = x - -67. What is m rounded to five decimal places? 0.00015 Let s = -495.069623 - 5.780977. Let j = -501 - s. Round j to 2 dps. -0.15 Let x = 23882989 + 39096359. Let v = x - 62979390.400297. Let q = -42.4 - v. Round q to four decimal places. 0.0003 Let m = -0.332 - -0.29. Let f = m - -50.042. Let s = f + -51.04. Round s to one dp. -1 Let z = -220 + 220. Suppose -6*g + g + 240 = z. What is g rounded to the nearest ten? 50 Suppose -g - 389159997 = 3*l - 2*g, 0 = -3*l + 4*g - 389159988. Round l to the nearest 1000000. -130000000 Let s = 32.1 - 16.1. Let i = s - 16.00228. Round i to 4 dps. -0.0023 Let y = 2067.70010091 - 2067.7. What is y rounded to six dps? 0.000101 Let i = 146.9179 - 0.9479. What is i rounded to 0 decimal places? 146 Let n = -14626.9 + 13858. Round n to the nearest one hundred. -800 Let w(k) = 987779*k**2 + 8*k - 35. Let v(p) = -7*p**2 - 25*p - 9. Let n be v(-3). Let j be w(n). What is j rounded to the nearest one million? 9000000 Let g(d) = -116306*d**2 + 12*d + 44. Let q be g(-4). What is q rounded to the nearest 100000? -1900000 Let a = 9.7206 + -11.566. Round a to 1 dp. -1.8 Suppose -p = -4*a - 0*a + 1, 5*a - 5 = 0. Suppose -3*u + m = -m + 15, p*u = -5*m + 6. Let d be (3 - (-38)/4)*(-5523 - u). Round d to the nearest ten thousand. -70000 Suppose -18*b + 36*b - 1080 = 0. Let y be 2859997/2 + b/40. Round y to the nearest one million. 1000000 Let o = -2164.9 - -2371. Let c = 426 - 209. Let d = o - c. Round d to 0 decimal places. -11 Let k = 230.0201 + -230. Let m = k - -7.9599. What is m rounded to zero dps? 8 Let k = -23369 - -23369.000009451. Round k to 7 decimal places. 0.0000095 Let x = -1718 + 2508. Suppose 0 = 3*h - 4*j - x - 59, 0 = 3*j + 9. Round h to the nearest ten. 280 Let q(x) = 3873*x**2 + 59*x - 20. Let b(d) = -d**3 + 21*d**2 + 43*d + 49. Let r be b(23). Let u be q(r). Round u to the nearest 100000. 1500000 Let y = 5568 + -2079. Let i = -3206.8 + y. What is i rounded to the nearest ten? 280 Let x = -1 - 13. Let a be (-3)/9 - x/6. Suppose 5*u - 1125 = 5*b, u + 207 = a*u + 5*b. What is u rounded to the nearest ten? 220 Let y = 728654 + -399234. Suppose -i + 4*i + 4*n = -y, -2*i - 219585 = -3*n. What is i rounded to the nearest 1000? -110000 Let p = -0.04445658171 - -0.044457. What is p rounded to 7 decimal places? 0.0000004 Let f = 4811.995914 - 4812. What is f rounded to 2 dps? 0 Let c = 674 - 394. Let x = -1185085717.2 + 1185085437.19999746. Let l = c + x. What is l rounded to six dps? -0.000003 Let f = 125 + -78. Let r = -44 + f. Suppose r*w + 2*x - 1000993 = -4060997, -3*x = -w - 1019994. Round w to the nearest 100000. -1000000 Let y = -2.19183 + 5.44892. Let b = -245 + 241.74. Let i = b + y. Round i to three dps. -0.003 Let s = 6.09 + -320.09. Let n = 313.99999799 + s. What is n rounded to six decimal places? -0.000002 Let k = 28 - 117. Let g = k + 88.888. Let z = 0.11199961 + g. What is z rounded to seven decimal places? -0.0000004 Suppose -4*p + 5 = p, 1053598 = -4*y - 2*p. What is y rounded to the nearest 10000? -260000 Let z = 30.507 + -0.477. Let r = 0.03 - z. Let n = -29.944 - r. What is n rounded to one dp? 0.1 Suppose -204246 = 5*w + 4*w. Let m = 37698 + w. Suppose 4*f = -5*v - m, -v + 4*v + 8996 = 4*f. What is v rounded to the nearest 10000? 0 Let i = 187 + -187.00007876. Round i to five dps. -0.00008 Let t = -58.586 - -59.2. Let i = -0.615027 + t. Round i to three decimal places. -0.001 Let x be (407329/26)/((-2)/(-12)). Suppose 9*k = 6*k + x. Suppose -210667 = 11*o + k. Round o to the nearest ten thousand. -20000 Let v = 7556.0017072 + -7556. What is v rounded to four dps? 0.0017 Let z = -6094590271.97578293 - -6094590479. Let a = z + -36.024216. Let m = a - 171. Round m to seven decimal places. 0.0000011 Let m = -11687 - -11805.66. Round m to the nearest 10. 120 Let f = 2037 - 2897. Let l = f - -860.447. What is l rounded to one decimal place? 0.4 Let r = -6073 + 6056.8. Let s = 17.5 + -0.5. Let v = r + s. What is v rounded to the nearest integer? 1 Let t = 1672.18082 - -0.01918. Round t to the nearest one hundred. 1700 Let q = 394 + -847. Let s = q + 452.494. What is s rounded to 2 dps? -0.51 Let v = 323175.9974 + -323222. Let l = 46.2736 - 0.2736. Let d = l + v. Round d to 3 dps. -0.003 Let i = 17640691 - 34173691. What is i rounded to the nearest one hundred thousand? -16500000 Suppose -v = 4*r + 117203470, -r + 351610335 = -3*v + 2*r. Let d = v + 83403450. What is d rounded to the nearest one million? -34000000 Let t = 591 - 1402. Let a = 810.601 + t. Round a to 1 decimal place. -0.4 Let a = 58.6993745 - 58.7. Round a to 5 decimal places. -0.00063 Suppose i = 4*z - 398319, -2*z + 12107 + 187052 = -i. Round z to the nearest 10000. 100000 Suppose -140*i + 141*i + 7 = 0. Let c(k) = -103*k + 37. Let s be c(i). What is s rounded to the nearest one hundred? 800 Let o = 365.0867 - 0.0867. Let a = o + -137. Let l = -228.00000113 + a. What is l rounded to seven decimal places? -0.0000011 Let j = -265.262 + 3.262. Let t = 0.022567 + 269.547433. Let s = t + j. What is s rounded to the nearest integer? 8 Let u = 5.307402 - -41.092807. Let n = -46.4 + u. What is n rounded to five decimal places? 0.00021 Let r = -611.61 - -607. Let x = r - -143.91. What is x rounded to the nearest 10? 140 Let j = 31073.5375 + -31070. Round j to zero decimal places. 4 Let z(q) = -9*q - 9. Let d be z(-17). Suppose m = -456 - d. What is m rounded to the nearest 10000? 0 Let n = -0.267548 - -0.2694. Round n to four dps. 0.0019 Let z = 17.005 - 6.751. Let g = -29 - -39.1. Let v = z - g. What is v rounded to 2 dps? 0.15 Let n = -64533140.999895 + 64533891. Let f = n - 750. What is f rounded to 4 decimal places? 0.0001 Let y = 2006 + -1273. Let h = y + -733.0000799. Round h to 6 dps. -0.00008 Let l be ((-9)/15)/(15/(-84125)). What is l rounded to the nearest 10000? 0 Let t(v) = -2*v**2 + 16*v + 15. Let j be t(9). Let y be j*(4 - (-11438)/3). Round y to the nearest one thousand. -11000 Let p = 1586.04 - 1524. What is p rounded to the nearest 10? 60 Let f(q) = -56 + 18*q + 23 - 17. Let x be f(7). What is x rounded to the nearest 10? 80 Let g = 261040255.999657 - 261040118. Let r = g + -138. Round r to 5 decimal places. -0.00034 Let q = -263 - -266. Suppose 14*k - 10*k + 404003 = -q*m, -2*k + 2*m - 201998 = 0. Round k to the nearest 100000. -100000 Suppose 2 = -3*b + 11. Let d be (-15660002)/b - (-28)/42. What is d rounded to the nearest 100000? -5200000 Let h = 260464 + -260463.819703. Let k = h - 0.18. What is k rounded to four decimal places? 0.0003 Let a = 5619 + -5619.00009721. What is a rounded to 6 dps? -0.000097 Suppose -32 + 44 = -n. Let g = -6 - n. Let u be (-45)/6*584/g. Round u to the nearest one hundred. -700 Suppose 22055822 = -60*h + 389093822. Round h to the nearest one million. 6000000 Let r = -2811 + 2795.299. Round r to 1 dp. -15.7 Let m = 245 - 141. Let j = -150 - m. Let a = j + 254.0133. What is a rounded to three decimal places? 0.013 Let r be (-1929651)/(-3) - (0 + 0). Let h = r - 385670. Suppose -5*j + 5*y = -445025, y - 98448 - h = -4*j. Round j to the nearest 10000. 90000 Let b = 4.959 + -8.666. Round b to 1 dp. -3.7 Let h = 9.641 - -7076.359. Let z = -7085.9979971 + h. Let a = 0.002 - z. Round a to 6 decimal places. -0.000003 Let d = 798 + -4580. Let g = -66950 + 30168. Let v = g - d. What is v rounded to the nearest 10000? -30000 Let l(w) be the first derivative of -w**4/4 + w**2/2 - 106000*w - 2. Let g be (-11)/(44/16) + 0 + 4. Let o be l(g). Round o to the nearest ten thousand. -110000 Let z = 153.7278 + -357.845. Let o = 204 + z. Round o to 2 dps. -0.12 Let a = -0.2339972345 - -0.234. Round a to six decimal places. 0.000003 Let h = -11.9866064351 + 11.9866. Round h to six decimal places. -0.000006 Let b = 3535.78 - 3537.243037. Let s = 2.213058 + b. Let a = 0.75 - s. What is a rounded to 5 dps? -0.00002 Let o(x) = 31986*x**3 + 6*x**2 + 10*x - 24. Let r be o(-5). Let t = 2456174 + r. What is t rounded to the nearest one hundred thousand?
{ "pile_set_name": "DM Mathematics" }
24 for x. -1 Suppose 6*c - 5*c = -10*c. Solve -8*s + c = -16 for s. 2 Let u = 249 + -213. Solve y = -8*y - u for y. -4 Let r(d) = d**3 + 5*d**2 + 2*d + 15. Let l be r(-5). Suppose -2 = -2*i, 0*i = -l*m + 4*i - 4. Solve -q + m*q = 4 for q. -4 Let s = 237 - 228. Solve -s*k = -3*k - 30 for k. 5 Suppose -f = 2 - 7. Suppose -o = f*p - 27, 5*p = -5*o + 20 + 15. Solve -12 = -h - o*h for h. 4 Let t be (-29 + -1)*(-28)/35. Let q = t + -13. Let l = -7 + q. Solve 2*o - 4 = l*o for o. -2 Suppose 0 = -z - 3*n + 18 - 6, 0 = 3*z - 5*n + 20. Suppose t - 6*t + p = -78, z = 2*p + 6. Solve 3*s = -0*s - t for s. -5 Let p(z) = 2*z**2 + 11*z + 3. Let a be p(9). Let u be 4/(-6)*a/16. Let b(q) = q**2 + 12*q + 16. Let g be b(u). Solve 2 = -g*d + 27 for d. 5 Let h be 3/(-18)*4 + (-88)/(-6). Suppose 15*z = h*z + 12. Solve -5*a + a + z = 0 for a. 3 Let w be (-6)/(-4)*48/36. Solve m = w*m - 5 for m. 5 Let k(x) = x - 18. Let u be k(15). Let d = u + 8. Solve 0 = -3*h + d + 1 for h. 2 Suppose -4*l + 11 + 15 = 2*m, m - 5*l + 22 = 0. Suppose 0 = -3*a - 15, 4*s + 0*s + 77 = 3*a. Let j = s - -30. Solve m*v = j - 19 for v. -4 Let o = -146 - -149. Solve -o - 1 = -k for k. 4 Let j be 623/42 + -10 + (-10)/12. Solve -8 = 4*z + j for z. -3 Suppose 0 = 4*j - 4*s - 116, -2*s = j - 5*s - 37. Solve -j*f + 8 = -23*f for f. 4 Suppose 8 = 18*z - 22*z. Let m(r) = r**3 - 2*r - 4. Let v be m(-3). Let c be (v/z)/((-2)/(-4)). Solve -2*d = 3*d + c for d. -5 Suppose -f = -2*f + 3. Let r(a) = -a**3 + 14*a**2 - 14*a + 20. Let x be r(13). Suppose x = 3*b - 14. Solve -f*y + b = -8 for y. 5 Let p(b) = b**3 - 17*b**2 - b + 19. Let w be p(17). Solve 7*y = 6*y - w for y. -2 Suppose -58 = -12*x + 14. Solve x*c - 5*c = 5 for c. 5 Let p = 2475 - 2473. Solve 3 - 1 = -p*f for f. -1 Let z(l) = l**3 - 10*l**2 - 7*l - 6. Let c be z(12). Let n be (2/(-6))/((-11)/c). Suppose 2*f = -4*q + n*q + 10, 5*q + 4*f = 20. Solve q = -4*a - 3 - 1 for a. -1 Suppose 5*x + 6 = -3*g, -5*g - 8 = -4*x - g. Let n(l) = -l**2 - 2*l + 2. Let h be n(x). Solve -h*w - 2*w = -12 for w. 3 Suppose -2*z = z. Let u be ((-2)/4*z)/2. Solve 5*x + u = -25 for x. -5 Let j be (-11 - (1 + 0))*(-241)/1446. Solve -6*g = -j*g for g. 0 Let w be (-60)/(-10 + 85/10). Solve -o - w = 7*o for o. -5 Suppose 55 + 11 = 6*s. Suppose 0 = -s*j + 6*j + 10. Let w = j - -3. Solve w*l = 4*l - 1 for l. -1 Let g = 1451 + -1451. Solve g = -25*b + 27*b - 8 for b. 4 Let d = -18 + -5. Let s = d + 23. Suppose s*p = -2*p. Solve 4*t - 11 - 1 = p for t. 3 Let d be 1/(2/12*2). Suppose 104 = -76*j + 712. Solve d*f - f - j = 0 for f. 4 Suppose 14*z - 41 = 197. Solve -11 = -z*u + 6*u for u. 1 Let d(a) = 9*a + 3. Let v(f) = f + 1. Let h(m) = d(m) - 6*v(m). Let r be h(2). Let w = -67 - -71. Solve -r*x + 2*x + w = 0 for x. 4 Let m = -2662 + 2664. Let y be (-4)/18 - 188/(-36). Solve m*q - q + y = 0 for q. -5 Suppose -3 = p - 8. Suppose 2*d - 10 = -4. Suppose -2*x - 11 = -p*g, 23 = 4*x + 2*g + d*g. Solve -x*y + 8 = -2 for y. 5 Let i(t) = -39*t**2 + 2*t + 1. Let y be i(-1). Let b be (-1)/((-5)/y*-2). Solve -9 = b*s + 3 for s. -3 Suppose 55 - 70 = -n. Solve 11*p - 4 = n*p for p. -1 Let x = 147 - 145. Solve -3*z - x*z = 20 for z. -4 Suppose -24 = -2*y - 0*y. Solve 15*z = 11*z + y for z. 3 Let s(z) = -z - 5. Let u be s(-5). Solve u = k + 3 for k. -3 Let r(z) = z**3 + 9*z**2 + 9*z + 6. Let j be r(-8). Let v be 3 + -3 + j + (-54)/(-2). Solve 5*g + 0*g + v = 0 for g. -5 Let f(x) = 12*x + 168. Let d be f(-11). Solve 7*r + d = 8 for r. -4 Let g = 44 - 53. Let f = g + 17. Solve -3 + f = i for i. 5 Let o be (3/9)/(3/27). Suppose o*p = -p. Suppose 3*s - 4*q - 68 = p, 5*q + 9 = 2*s - 3*s. Solve s - 1 = 3*y for y. 5 Let x = 540 + -522. Solve 5*u + x - 28 = 0 for u. 2 Suppose 28*u - 33*u = -20. Suppose 3*g + u = 4*g. Solve g*a - 3 = -15 for a. -3 Let r(i) be the first derivative of -i - 4 - 5 + i**2 + 2 + 3. Let v be r(1). Solve 0 = 4*c - 15 - v for c. 4 Suppose 0 = -4*a - 5*q + 28, -27*q + 7 = a - 30*q. Solve a*d - 12*d - 15 = 0 for d. -3 Let s(c) = -c**2 + c. Let o(m) = -3*m**3 - 7*m**2 + 6*m. Let j(p) = -o(p) + 6*s(p). Let v be j(1). Let x = v + 0. Solve x = -2*d - 4 for d. -4 Suppose -5*p - 2*d - 67 = 0, -3*d = 2*p - p + 3. Let l be p*(8/(-12))/2. Solve 0 = l*s - s - 16 for s. 4 Let h = 0 + 0. Let r(c) = -3*c + 2. Let d be r(-3). Let w(f) = -f + 15. Let q be w(d). Solve h*k = -q*k - 4 for k. -1 Let k = 84 - 62. Let p be (2 - 1) + 2 + k + -5. Solve p = 6*o - o for o. 4 Suppose -2*f = -3*d + 51, -6 = -d - 12*f + 9*f. Solve -6*k = -3*k - d for k. 5 Let k(y) = y + 4. Let t be k(2). Suppose 4*a = -3*p + 22, -4*p = -3*p - 2*a + 6. Suppose -4*h + t = -p. Solve h*l = l for l. 0 Suppose 9*r + 3*c - 99 = 4*r, -3*c = r - 15. Let n be (((-21)/(-3))/r)/(2/18). Solve 5*j - n = -8 for j. -1 Suppose -20 = 3*u - 13*u. Suppose 6*r - 4*r - u*x - 10 = 0, r - 5*x = 17. Solve 7 = -r*p + 5 for p. -1 Let v be 6/(2 + (-48)/30). Solve -20 = b - v for b. -5 Let b(p) = -p - 18. Let u(m) = -1. Let o(t) = -b(t) + 5*u(t). Suppose 0 = -4*a + 5*y - 60, 0 = -4*a + 4*y - 0*y - 56. Let n be o(a). Solve q - n = 2 for q. 5 Let c(u) = u**3 + 4*u**2 + 2*u - 1. Let w be c(-2). Suppose w + 5 = 4*a. Solve 3*d = a*d - 3 for d. -3 Suppose 0 = 3*k - 26 + 167. Let l = k - -53. Solve 15 = 3*t - l*t for t. -5 Suppose -5*o - 2*p + 108 = 0, 3*o - 4*o + p + 16 = 0. Solve -10*d = -15*d - o for d. -4 Suppose 0 = 5*q + 2 - 12. Suppose -4*o = 20, 6*j + 22*o - 67 = 27*o. Solve 0 = -j*w + q*w + 20 for w. 4 Let a = 175 - 172. Solve z + a*z = 16 for z. 4 Let t(g) = 5*g**2. Let d be t(-1). Suppose -5*x + 3*c = 2*c - d, -2*c = 3*x - 16. Let z(m) = 636*m**2 - 5088*m. Let q be z(8). Solve q = -p - x + 4 for p. 2 Let h = -26 + 20. Let j be ((-2)/h)/(8/48). Solve j*o = -0*o for o. 0 Let y = 682 - 430. Solve y = 3*u + 240 for u. 4 Let s(c) = 11 - c - 16 + 29. Let q be s(24). Solve q = 14*a - 11*a for a. 0 Let v(u) = u**3 + 4*u**2 - 1. Let f be v(-3). Suppose f*a - 11*a - 3 = 0. Let p = a - -1. Solve p = -5*b + 11 + 4 for b. 3 Let d be (-1)/((-141)/69 - -2). Let t be 15 + (-3 - 0) + -1. Suppose 0 = -5*k + t + 29. Solve -3*b = -d + k for b. 5 Suppose 0 = -4*p + 2*p + 4. Let b = -17 + 23. Solve 0*c - b = p*c for c. -3 Suppose -3*a - 23 = -2*j, 4*j - 14*a + 13*a = 61. Solve j*v = 21*v - 10 for v. 2 Let n(v) = -v**3 - 9*v**2 + 4*v - 15. Let t be n(-11). Suppose 5*c - 17 = t. Let f be c/36 - (-4)/(-36). Solve -3*x = -f - 2 for x. 1 Let b(r) = -r**3 + 23*r**2 + 26*r - 45. Let s be b(24). Solve -3*t = 9 - s for t. -2 Let u(w) = w**3 - 4*w**2 + 3*w - 3. Let j be u(4). Let k = 13 - j. Solve -k*i - 6 = -6*i for i. 3 Suppose -5*u + 25 = 5. Suppose 0 = 3*g + n + 25, -u*g - 2 = n + 33. Let s = g - -12. Solve 2*b = b + s for b. 2 Let j be (5/(-3))/(30*(-11)/3564). Solve 11*d - 5*d = -j for d. -3 Let j = 708 - 698. Solve -7*m = -j*m - 15 for m. -5 Suppose -37*a + 38*a - 5*b = 27, 4*a - 4*b - 140 = 0. Solve 42*q - a*q = 20 for q. 4 Let q be (0 + 3/6)/((-2)/120). Let a = 31 + q. Solve j - a = -5 for j. -4 Let w(r) = -9*r - 6 - 2*r**2 - 10 + 12. Let z be w(-4). Let h be ((-6)/(2/(-1)))/1. Solve -2*o + h*o = z for o. 0 Let d(q) = -q**3 + 5*q**2 - q - 1. Let b be d(2). Suppose -17*f + b*f = -40. Solve 3*y - 10 = f*y for y. -5 Let m(c) = c**2 + 5*c - 1. Let o be ((-24)/(-28))/((-1)/7). Let v be m(o). Suppose -5*a - v = f, 3*f - a + 1 = -2*a. Solve f = -r + 3*r for r. 0 Suppose 0 = 5*o - 17*y + 16*y + 33, 3*o = 2*y - 17. Let l be 1/o - (-57)/7. Suppose 5*k - 60 = -0*k. Solve k = -5*h - l for h. -4 Let j(y) = 7*y - 3. Let o be j(-3). Let p = o + 44. Solve -6*c = -c + p for c. -4 Let u(t) = t**2 + 15. Let d(y) = y - 1. Let r be d(1). Let m be u(r). Solve -2*b - 3*b = m for b. -3 Let w(z) = -z**2 - 6*z + 6. Let j be w(-6). Let t be 528/242 + 4/(-22). Solve j = -t*p + 4 for p. -1 Let m be (3 + (-60)/10)*(-7)/3. Solve -m = -2*p - 1 for p. 3 Suppose -11*l + 109*l - 1960 = 0. Solve l*i + 3 = 23*i for i. 1 Suppose -5*j = 9 - 39. Let a = -2 + 2. Solve -3*f + j = -a*f for f. 2 Let h be (-1 - -1) + (7 - 0). Let a = -7 - -7. Let q = a + h. Solve -3*r + q = -2 for r. 3 Let b(m) = m**2 + 4*m + 3. Let n be b(-3). Suppose n = 5*c - c + 12. Let s be 2/c - (-30)/18. Solve -h - 2 = s for h. -3 Suppose 2*o = 4*n + 29 + 5, 0 = -5*o - 2*n + 61. Solve -26*q + o*q = 26 for q. -2 Let b be (75/(-30))/((-2)/
{ "pile_set_name": "DM Mathematics" }
tters picked without replacement from {z: 4, u: 7}. 28/165 What is prob of sequence rw when two letters picked without replacement from {a: 1, f: 1, s: 1, w: 1, r: 1}? 1/20 Calculate prob of sequence bbmm when four letters picked without replacement from bbmmbm. 1/10 What is prob of sequence bu when two letters picked without replacement from bbvku? 1/10 Three letters picked without replacement from eeddeedkdddkd. What is prob of sequence eke? 2/143 Calculate prob of sequence vzvl when four letters picked without replacement from {v: 3, l: 1, t: 1, c: 1, z: 1}. 1/140 Calculate prob of sequence rc when two letters picked without replacement from {r: 2, g: 4, n: 2, q: 2, c: 2}. 1/33 What is prob of sequence hx when two letters picked without replacement from hwyxwy? 1/30 Calculate prob of sequence ud when two letters picked without replacement from {u: 7, n: 3, d: 2}. 7/66 Four letters picked without replacement from yyllllylyll. Give prob of sequence llly. 7/66 Two letters picked without replacement from dewldpr. What is prob of sequence pr? 1/42 Four letters picked without replacement from ononoonoqononoqo. Give prob of sequence onnn. 9/728 Four letters picked without replacement from {h: 1, f: 3, g: 1, y: 4, p: 1, n: 4}. What is prob of sequence ypfh? 1/2002 Four letters picked without replacement from {s: 1, w: 3, f: 1, n: 1, j: 1}. Give prob of sequence fwww. 1/140 Three letters picked without replacement from dekekedkddk. Give prob of sequence eke. 4/165 Calculate prob of sequence onr when three letters picked without replacement from noro. 1/12 Two letters picked without replacement from mqjjtttjjqjmqtjqc. Give prob of sequence jj. 15/136 What is prob of sequence xan when three letters picked without replacement from xxiaxixn? 1/84 Three letters picked without replacement from {s: 8, c: 2}. What is prob of sequence scs? 7/45 Two letters picked without replacement from {o: 3, s: 1, e: 1, z: 6, r: 1}. What is prob of sequence rz? 1/22 What is prob of sequence hhh when three letters picked without replacement from {h: 5, w: 15}? 1/114 Four letters picked without replacement from {u: 3, k: 5}. Give prob of sequence kukk. 3/28 What is prob of sequence dvqq when four letters picked without replacement from {s: 2, v: 3, d: 4, q: 3, b: 2, f: 1}? 1/455 Three letters picked without replacement from {f: 2, r: 3, p: 1, a: 1}. What is prob of sequence rfa? 1/35 Calculate prob of sequence zo when two letters picked without replacement from czoopcrhohczrzcozrho. 1/19 Calculate prob of sequence ss when two letters picked without replacement from rsrhsss. 2/7 Calculate prob of sequence jzz when three letters picked without replacement from iziizzjzz. 5/126 Calculate prob of sequence ii when two letters picked without replacement from {i: 4, v: 2}. 2/5 Three letters picked without replacement from jqxeqwwwjq. Give prob of sequence ejj. 1/360 What is prob of sequence ht when two letters picked without replacement from {o: 4, y: 1, m: 4, h: 5, t: 5}? 25/342 Calculate prob of sequence aabj when four letters picked without replacement from {a: 2, b: 2, k: 2, j: 6}. 1/495 Calculate prob of sequence mq when two letters picked without replacement from {q: 2, m: 3}. 3/10 Three letters picked without replacement from {d: 1, x: 1, v: 2, m: 1, l: 1, g: 1}. Give prob of sequence dlg. 1/210 What is prob of sequence xm when two letters picked without replacement from {b: 2, x: 8, m: 2, k: 2, o: 2}? 1/15 Three letters picked without replacement from jjjvvjvjvjvjjj. Give prob of sequence vjv. 15/182 What is prob of sequence llll when four letters picked without replacement from llljljlljjllllllll? 1001/3060 Calculate prob of sequence xfy when three letters picked without replacement from fftytxottfpf. 1/330 Four letters picked without replacement from pooopoppoppo. What is prob of sequence oopp? 5/66 Two letters picked without replacement from lulluulull. Give prob of sequence uu. 2/15 Calculate prob of sequence ou when two letters picked without replacement from umjgonmg. 1/56 Calculate prob of sequence nnr when three letters picked without replacement from {n: 3, q: 3, o: 3, x: 1, r: 2, u: 3}. 2/455 Four letters picked without replacement from vfvfofovooooofofgog. What is prob of sequence goff? 5/1292 Four letters picked without replacement from {x: 11, r: 2}. What is prob of sequence rxxr? 1/78 Calculate prob of sequence pgg when three letters picked without replacement from zgrrzpgzpgzzz. 1/143 What is prob of sequence pp when two letters picked without replacement from {p: 3, d: 1, a: 3}? 1/7 Two letters picked without replacement from wvvvvvvvvvvmv. Give prob of sequence mw. 1/156 Two letters picked without replacement from poppnpsaossopp. Give prob of sequence sp. 9/91 Two letters picked without replacement from ppemppmpmmmmmpm. What is prob of sequence ep? 1/35 Two letters picked without replacement from {t: 3, j: 2, g: 5}. Give prob of sequence gg. 2/9 Four letters picked without replacement from tmgtgtg. What is prob of sequence mttg? 3/140 What is prob of sequence tt when two letters picked without replacement from {t: 11, v: 3}? 55/91 What is prob of sequence yyry when four letters picked without replacement from rrryyrrrryyyy? 7/143 Four letters picked without replacement from {y: 5, n: 9, u: 3, o: 1}. Give prob of sequence nnnn. 7/170 Four letters picked without replacement from nnaannzaan. What is prob of sequence naan? 1/21 What is prob of sequence ci when two letters picked without replacement from ippcrdidipd? 3/110 Four letters picked without replacement from qzffwz. Give prob of sequence wffz. 1/90 Calculate prob of sequence wows when four letters picked without replacement from iiwossxsgigosi. 0 What is prob of sequence dr when two letters picked without replacement from {r: 3, i: 1, c: 2, v: 1, d: 5}? 5/44 What is prob of sequence eee when three letters picked without replacement from {e: 9}? 1 Two letters picked without replacement from suhhhhhauhaxuuhh. Give prob of sequence hx. 1/30 Four letters picked without replacement from {q: 13, n: 3}. What is prob of sequence qqnn? 3/140 What is prob of sequence jmj when three letters picked without replacement from jwmjmmmjmjjmjmwjwj? 49/612 Two letters picked without replacement from ykkskryyrz. Give prob of sequence zk. 1/30 Two letters picked without replacement from jjjjjjjjj. What is prob of sequence jj? 1 Three letters picked without replacement from {w: 3, p: 7}. Give prob of sequence wwp. 7/120 Two letters picked without replacement from ggeegeegeeeeggegeee. Give prob of sequence ee. 22/57 Two letters picked without replacement from {f: 1, h: 5, n: 3, b: 1}. What is prob of sequence bh? 1/18 Two letters picked without replacement from njncnnnjnncn. Give prob of sequence jc. 1/33 Four letters picked without replacement from uvpvmdzdvzuuppp. Give prob of sequence uppm. 1/910 Three letters picked without replacement from {h: 8, l: 1, x: 2, g: 4}. Give prob of sequence hxh. 8/195 Calculate prob of sequence fvd when three letters picked without replacement from fxqqdqxqxfxfvxx. 1/910 What is prob of sequence wu when two letters picked without replacement from {u: 12, w: 1, h: 4, q: 2}? 2/57 Two letters picked without replacement from {m: 2, t: 1, o: 4}. Give prob of sequence mo. 4/21 Three letters picked without replacement from kggjgjjkgjk. Give prob of sequence gkj. 8/165 Calculate prob of sequence ty when two letters picked without replacement from {y: 1, v: 7, t: 6, f: 2, b: 1}. 3/136 Calculate prob of sequence iin when three letters picked without replacement from nnniiinniininniiini. 45/323 Calculate prob of sequence roio when four letters picked without replacement from {o: 3, i: 5, r: 4}. 1/99 Four letters picked without replacement from {y: 5, r: 5, v: 8}. Give prob of sequence rryr. 5/1224 Two letters picked without replacement from tkjqqka. Give prob of sequence qa. 1/21 Two letters picked without replacement from pmhgjgwm. What is prob of sequence jh? 1/56 What is prob of sequence gg when two letters picked without replacement from ggjjjgjgjjj? 6/55 Three letters picked without replacement from ghfhgfffghg. Give prob of sequence ffh. 2/55 Calculate prob of sequence df when two letters p
{ "pile_set_name": "DM Mathematics" }