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- 1)*(q + 1)*(5*q + 2)/2 Let x = -41 + 62. Let y(k) = -7*k**2 + 13*k - 2. Let r(d) = -36*d**2 + 66*d - 9. Let s(i) = x*y(i) - 4*r(i). Factor s(z). -3*(z - 2)*(z - 1) Factor 107 + 4*z**2 + 19*z + 9*z - 30 - 29. 4*(z + 3)*(z + 4) What is m in 1/5*m**4 + 0*m + 0 - 1/5*m**5 + 4/5*m**3 - 4/5*m**2 = 0? -2, 0, 1, 2 Suppose -3*z - 2*y + 9 = 0, 3*z = 6*y - 10*y + 9. Determine l so that 3/4*l**z + 3/2 - 3/8*l**4 - 3*l + 9/8*l**2 = 0. -2, 1, 2 Let v(a) be the second derivative of a**8/3780 + a**7/405 - 31*a**6/6480 + a**5/270 + 7*a**4/12 - 9*a. Let y(q) be the third derivative of v(q). Factor y(z). (z + 4)*(4*z - 1)**2/9 Let a be 3 + 44 + -4 - -1. Let y = -41 + a. Factor 3/2*l + 3/2*l**2 + 0 - 3/2*l**y - 3/2*l**4. -3*l*(l - 1)*(l + 1)**2/2 Suppose -43/6*k - 1/6*k**2 + 22/3 = 0. Calculate k. -44, 1 Let n = -5129 + 5132. Suppose 16/7*g + 12/7*g**n + 0 - 24/7*g**2 - 2/7*g**4 = 0. What is g? 0, 2 Find c, given that -20/7*c + 24/7 - 4/7*c**2 = 0. -6, 1 Let r be 1/(-3) - ((-1388)/(-12) - 5). Let q = -109 - r. Solve 0*k**3 - 1/6*k**4 + 0 + 1/3*k + 1/2*k**q = 0 for k. -1, 0, 2 Let m(r) be the third derivative of 0 - 1/15*r**6 + 2/105*r**7 + 5*r**2 + 0*r + 0*r**4 + 1/15*r**5 + 0*r**3. Factor m(u). 4*u**2*(u - 1)**2 Let l(z) be the third derivative of z**8/10080 + z**7/630 + z**6/90 - 7*z**5/60 - 16*z**2. Let u(y) be the third derivative of l(y). Factor u(x). 2*(x + 2)**2 Let o(r) be the first derivative of -r**7/273 - 2*r**6/65 - r**5/10 - 2*r**4/13 - 4*r**3/39 - 23*r + 12. Let p(j) be the first derivative of o(j). Factor p(m). -2*m*(m + 1)**2*(m + 2)**2/13 Let i(r) be the third derivative of 1/40*r**6 - r**3 + 2*r**2 + 0*r + 3/20*r**5 - 1/70*r**7 + 0 - 1/8*r**4. Factor i(q). -3*(q - 2)*(q - 1)*(q + 1)**2 Let l(p) be the first derivative of -1331*p**4/8 - 242*p**3 - 132*p**2 - 32*p - 89. Solve l(z) = 0 for z. -4/11 Let s be (-24)/(-9)*18/3. Let q = -12 + s. Solve 3*p**5 - 6*p**3 + 2*p**4 + 3 + 3*p + p**q + 0 - 6*p**2 + 0*p**4 = 0 for p. -1, 1 Factor 32/3 - 8/3*r - 20/3*r**2 - 4/3*r**3. -4*(r - 1)*(r + 2)*(r + 4)/3 Factor 54*j - 23*j**2 + 195 + 534 + 24*j**2. (j + 27)**2 Let z(v) = 4*v**2 - 222*v - 14636. Let x(n) = -n**2 - 4*n - 1. Let f(a) = 10*x(a) + 2*z(a). Suppose f(l) = 0. What is l? -121 Let b = -8882/5 + 1777. Let i(f) be the second derivative of -6*f**2 + 0 + 2*f + 3/4*f**4 + 2*f**3 - b*f**5 + 1/10*f**6. Determine h, given that i(h) = 0. -1, 1, 2 Factor -36 - 61/4*y**2 + 159/2*y + 1/2*y**3. (y - 24)*(y - 6)*(2*y - 1)/4 Let r(v) be the third derivative of v**6/12 - v**5/10 - v**4/6 + 2*v**2 - 63. Factor r(d). 2*d*(d - 1)*(5*d + 2) Let i(p) be the second derivative of p**10/15120 + p**9/7560 - p**8/3360 - p**7/1260 + p**4/6 - 14*p. Let y(q) be the third derivative of i(q). Factor y(u). 2*u**2*(u - 1)*(u + 1)**2 Suppose 0 = 50*b - 134*b + 156 + 516. Factor -b*c - 4/3*c**2 + 28/3. -4*(c - 1)*(c + 7)/3 Let o(l) = -3*l**2 + 102*l - 774. Let u(a) = -9*a**2 + 305*a - 2321. Let x(r) = -17*o(r) + 6*u(r). Let x(d) = 0. Calculate d. 16 Let v(j) be the first derivative of j**3/8 - 21*j**2/8 + 20. Determine k so that v(k) = 0. 0, 14 Let l(w) = -w**2 - 13*w + 3. Let v be l(-12). Factor 3 + 18*s**2 - v - 15*s - 21*s**2. -3*(s + 1)*(s + 4) Factor -17*a**3 + 8025*a**4 - 7*a**3 + 13*a**2 - 32*a - 8021*a**4 + 35*a**2. 4*a*(a - 2)**3 Let z(f) = f**4 - f**2 - f - 2. Let t(h) = 4*h**4 - 24*h**3 + 70*h + 36. Let s(i) = t(i) - 6*z(i). Factor s(d). -2*(d - 2)*(d + 1)**2*(d + 12) Factor 3/7*o**4 - 12/7*o + 0 + 0*o**2 + 9/7*o**3. 3*o*(o - 1)*(o + 2)**2/7 Let i(p) = -3*p**3 - 3*p**2 + 9*p + 18. Let u(z) = -6*z**3 - 7*z**2 + 20*z + 36. Let n(a) = -5*i(a) + 3*u(a). Factor n(w). -3*(w - 2)*(w + 1)*(w + 3) Let d(v) = 15*v**4 + 15*v**3 - 98*v**2 - 195*v - 97. Let q(o) = 5*o**4 + 5*o**3 - 33*o**2 - 65*o - 32. Let h(y) = -2*d(y) + 7*q(y). Factor h(c). 5*(c - 3)*(c + 1)**2*(c + 2) Let u(p) be the first derivative of -4/21*p**3 + 0*p**5 + 1/2*p**4 + 0*p - 3/7*p**6 + 0*p**2 + 12. What is s in u(s) = 0? -1, 0, 1/3, 2/3 Let 18/5*h**2 + 13/5*h**3 - 4/5*h - 4/5*h**4 - 3/5*h**5 - 8/5 = 0. Calculate h. -2, -1, 2/3, 2 Let w = 61303 - 428034/7. Let h = -155 + w. Let h*q**3 + 0*q**2 - 2/7*q + 0 = 0. What is q? -1, 0, 1 Let s be 3/((-3)/15 + (-13)/10). Let j be (-1)/s + (-6 - (-206)/36). Factor 4/9*g - j*g**2 - 2/9. -2*(g - 1)**2/9 Let h(i) be the first derivative of i**6/42 - i**5/35 - 2*i**4/7 + 4*i**3/7 + 38. Factor h(c). c**2*(c - 2)**2*(c + 3)/7 Find i, given that -6/5*i**2 - 2/5*i**3 + 2/5*i**4 + 4/5 + 2/5*i = 0. -1, 1, 2 Let g = -1/633 - -427/3165. Let k(h) be the second derivative of 7*h + 0*h**3 - 1/3*h**4 + 0*h**2 + 0*h**5 + g*h**6 + 0. Solve k(m) = 0 for m. -1, 0, 1 Let l(f) be the first derivative of -f**6/24 - 3*f**5/20 + f**3/3 + 28. Solve l(a) = 0 for a. -2, 0, 1 Let r = 34 - 31. Solve 3*b - 3*b + 0*b**3 + b**2 + b**r = 0. -1, 0 Find v, given that 0 + 56/3*v + 188/3*v**4 - 104/3*v**2 + 10*v**5 - 170/3*v**3 = 0. -7, -2/3, 0, 2/5, 1 Suppose 0 = 3*q - c - 5, -39 + 29 = -3*q - 4*c. Suppose -16/7*s**q + 16/7*s + 0 + 4/7*s**3 = 0. What is s? 0, 2 Factor 37/3*v + 1/6*v**2 + 1369/6. (v + 37)**2/6 Let -775*c**2 - 40*c + 386*c**2 - 100 + 385*c**2 = 0. Calculate c. -5 Suppose -5*n = 2*z - 85, 4*z - 7*n + 2*n - 185 = 0. Let w = 47 - z. Factor -1/2*f**5 + w - 4*f + 1/2*f**2 - 1/2*f**4 + 5/2*f**3. -(f - 1)**3*(f + 2)**2/2 Let t(a) = -2*a**2 + 27*a + 7. Let d(u) = -u**2 + u. Let l(m) = -5*d(m) + t(m). Suppose l(n) = 0. Calculate n. -7, -1/3 Let p(t) be the second derivative of 7/2*t**3 + 33*t + 0 - 2/5*t**6 + 3*t**2 + 3/4*t**4 - 6/5*t**5. Suppose p(j) = 0. What is j? -2, -1/2, 1 Let m = 184/27 + -812/135. Determine w, given that -32/5*w - 4/5*w**5 - m*w**4 + 16/5 + 4/5*w**2 + 4*w**3 = 0. -2, 1 Let q(m) be the first derivative of 0*m**3 + 5 - 1/27*m**4 + 1/30*m**5 - 2*m - 1/135*m**6 + 0*m**2. Let b(g) be the first derivative of q(g). Factor b(t). -2*t**2*(t - 2)*(t - 1)/9 Let n(x) be the first derivative of 2/3*x**3 - x**2 + 0*x - 8. Factor n(k). 2*k*(k - 1) Suppose 20 = -5*d + 19*w - 14*w, -5*w + 44 = 3*d. Factor -9/4*o**5 - 3/2*o + 0 + 33/4*o**4 - 45/4*o**d + 27/4*o**2. -3*o*(o - 1)**3*(3*o - 2)/4 Let n(q) be the second derivative of -q**6/10 - 9*q**5/20 + 5*q**4/4 + 3*q**3/2 - 6*q**2 + 12*q - 1. Suppose n(l) = 0. Calculate l. -4, -1, 1 Suppose -4*p = -139 + 1199. Let b = p + 531/2. Factor -b*l + 0 + 1/2*l**2. l*(l - 1)/2 Find d, given that 3*d**5 + 232*d**3 + 238*d**3 - 43 - 51*d**2 + 15*d**4 - 27*d - 461*d**3 + 7 - 57*d = 0. -3, -2, -1, 2 Let -1/9*x**3 + 0 - 1/9*x**2 + 2/9*x = 0. Calculate x. -2, 0, 1 Let v be (3 - (-1 + -1)) + 3. Let f be (v/6)/(9/54). Factor 5*z**2 + 5*z + f - 3*z**2 - 2*z + 5*z. 2*(z + 2)**2 Let g(o) be the third derivative of 2*o**7/315 + 2*o**6/45 - 2*o**5/45 - 2*o**4/3 + 2*o**3 - 2*o**2 + 10*o. Solve g(i) = 0. -3, 1 Suppose 3*d = -6*h + 10*h + 4, 3*d = 5*h + 2. Let q(k) be the first derivative of 10 + 3/14*k**h - 2/7*k + 2/21*k**3. Find i such that q(i) = 0. -2, 1/2 Let x(a) be the second derivative of -2/75*a**6 + 0*a**2 + 0 + 2/15*a**3 - 1/5*a**4 - 36*a + 3/25*a**5. Factor x(l). -4*l*(l - 1)**3/5 Let a(v) = 3*v + 17. Let o be a(-5). Let 2*p**2 + p**2 - 5*p**o - 2*p + 2 + 2*p**3 = 0. Calculate p. -1, 1 Let f = 719/42 + -221/14. Find g, given that 0*g - 4/3*g**5 + 0*g**4 + f*g**3 + 0*g**2 + 0 = 0. -1, 0, 1 Let m(s) be the third derivative of -s**9/30240 + s**8/4480 - s**7/2520 - 11*s**4/24 + 9*s**2. Let i(n) be the second derivative of m(n). What is f in i(f) = 0? 0, 1, 2 Let i(y) be the first derivative of -10*y - 5/8*y**4 - 25/6*y**3 - 10*y**2 + 16. Factor i(k). -5*(k + 1)*(k + 2)**2/2 Let g(l) be the third derivative of 1/315*l**7 + 0*l**3 - 1/60*l**6 + 0 - 1/18*l**4 + 1/504*l**8 + 0*l - 13*l**2 - 1/18*l**5. Find r such that g(r) = 0. -1, 0, 2 Let i(d) be the third derivative of d**8/60480 - d**7/2520 + d**6/432 - 4*d**5/15 + 7*d**2. Let g(m) be the third derivative of i(m). Factor g(y). (y - 5)*(y - 1)/3 Let j be -2*1*91/(-637). Let 4/7 + 2/7*t**3 - 2/7*t + j*t**4 - 6/7*t**2 = 0. What is t? -2, -1, 1 Factor -36*u**2 + 505*u - 2*u**3 - 21 - 535*u + 89. -2*(u - 1)*(u + 2)*(u + 17) Let g(w) be the third derivative of -1/45*w**5 - 1/180*w**6 + 1/36*w**4 + 0 - 14*w**2 + 2/9*w**3 + 0*w. Let g(i) = 0. What is i? -2, -1, 1 Let v(l) = -l**2 - 80*l - 576. Let b be v(-8). Factor
{ "pile_set_name": "DM Mathematics" }
2, -8203, -9920? 67*h**2 - 2320*h + 5 What is the h'th term of -30535, -61067, -91599, -122131, -152663, -183195? -30532*h - 3 What is the o'th term of 1752, 3386, 4994, 6564, 8084? -2*o**3 - o**2 + 1651*o + 104 What is the p'th term of 581, 3651, 11689, 27179, 52605, 90451? 414*p**3 + 172*p - 5 What is the m'th term of -62, -148, -328, -650, -1162, -1912, -2948? -8*m**3 + m**2 - 33*m - 22 What is the y'th term of 3021819, 3021818, 3021817? -y + 3021820 What is the c'th term of 1115898, 1115897, 1115896, 1115895, 1115894? -c + 1115899 What is the p'th term of 26019, 104062, 234149, 416292, 650503, 936794, 1275177, 1665664? 2*p**3 + 26010*p**2 - p + 8 What is the b'th term of 2273, 2292, 2337, 2420, 2553? 2*b**3 + b**2 + 2*b + 2268 What is the k'th term of -400417, -400410, -400401, -400390, -400377, -400362, -400345? k**2 + 4*k - 400422 What is the z'th term of 28, 144, 262, 382, 504, 628? z**2 + 113*z - 86 What is the p'th term of 72870, 72857, 72810, 72711, 72542, 72285? -3*p**3 + p**2 + 5*p + 72867 What is the w'th term of -9301, -9349, -9393, -9433, -9469, -9501? 2*w**2 - 54*w - 9249 What is the p'th term of 12916, 12925, 12940, 12961, 12988? 3*p**2 + 12913 What is the u'th term of 68730, 274861, 618412, 1099383, 1717774, 2473585, 3366816? 68710*u**2 + u + 19 What is the i'th term of 36, 157, 342, 585, 880, 1221, 1602, 2017? -i**3 + 38*i**2 + 14*i - 15 What is the w'th term of -1482, -1674, -1854, -2016, -2154, -2262, -2334, -2364? w**3 - 199*w - 1284 What is the m'th term of 23030, 23028, 23024, 23018, 23010, 23000, 22988? -m**2 + m + 23030 What is the o'th term of 1337, 61, -1217, -2497, -3779, -5063? -o**2 - 1273*o + 2611 What is the s'th term of -1303, -5213, -11735, -20875, -32639? -s**3 - 1300*s**2 - 3*s + 1 What is the w'th term of 895, 3481, 7797, 13849, 21643? w**3 + 859*w**2 + 2*w + 33 What is the g'th term of 374, 722, 1028, 1274, 1442, 1514, 1472? -3*g**3 - 3*g**2 + 378*g + 2 What is the z'th term of 50759, 50756, 50753, 50750, 50747? -3*z + 50762 What is the v'th term of -181, -79, 23, 125, 227? 102*v - 283 What is the g'th term of 812, 861, 902, 935? -4*g**2 + 61*g + 755 What is the q'th term of 1109, 1142, 1227, 1388, 1649, 2034, 2567? 4*q**3 + 2*q**2 - q + 1104 What is the i'th term of 1147, 1179, 1231, 1303, 1395? 10*i**2 + 2*i + 1135 What is the k'th term of 3158, 3095, 2984, 2819, 2594? -k**3 - 18*k**2 - 2*k + 3179 What is the d'th term of -1208, -2391, -3574, -4757, -5940? -1183*d - 25 What is the n'th term of -89, -228, -427, -698, -1053, -1504? -2*n**3 - 18*n**2 - 71*n + 2 What is the h'th term of -1089, -4375, -9847, -17499, -27325, -39319, -53475, -69787? h**3 - 1099*h**2 + 4*h + 5 What is the p'th term of -382314, -764627, -1146940? -382313*p - 1 What is the c'th term of -966, -1054, -1142? -88*c - 878 What is the u'th term of 4072, 4058, 4034, 4000, 3956, 3902? -5*u**2 + u + 4076 What is the r'th term of 643, 1447, 2415, 3547, 4843? 82*r**2 + 558*r + 3 What is the j'th term of 46654, 46653, 46652? -j + 46655 What is the v'th term of 246, 441, 592, 699, 762? -22*v**2 + 261*v + 7 What is the l'th term of 68, 218, 440, 734, 1100, 1538? 36*l**2 + 42*l - 10 What is the b'th term of -126041, -126035, -126025, -126011? 2*b**2 - 126043 What is the f'th term of 213, 952, 2181, 3900, 6109? 245*f**2 + 4*f - 36 What is the s'th term of -998, -1025, -1052, -1079, -1106, -1133? -27*s - 971 What is the y'th term of -13717, -27432, -41147? -13715*y - 2 What is the r'th term of -45391, -90783, -136175, -181567, -226959? -45392*r + 1 What is the p'th term of -52219, -104438, -156655, -208870, -261083? p**2 - 52222*p + 2 What is the s'th term of 1327, 5313, 11957, 21259, 33219? 1329*s**2 - s - 1 What is the p'th term of 2222, 2152, 2024, 1838, 1594, 1292, 932? -29*p**2 + 17*p + 2234 What is the p'th term of -900, -909, -918? -9*p - 891 What is the h'th term of -278, -317, -352, -383, -410, -433? 2*h**2 - 45*h - 235 What is the b'th term of -696, -1381, -2062, -2739, -3412, -4081? 2*b**2 - 691*b - 7 What is the a'th term of -10032, -20085, -30138? -10053*a + 21 What is the k'th term of 47, 65, 69, 59, 35, -3? -7*k**2 + 39*k + 15 What is the k'th term of 485, 1317, 2499, 4031? 175*k**2 + 307*k + 3 What is the h'th term of 2009, 2366, 2961, 3794, 4865, 6174? 119*h**2 + 1890 What is the f'th term of 1376, 1310, 1244, 1178, 1112? -66*f + 1442 What is the s'th term of -396, -444, -566, -798, -1176, -1736, -2514? -6*s**3 - s**2 - 3*s - 386 What is the c'th term of -3456, -3432, -3408, -3384? 24*c - 3480 What is the l'th term of 4612, 9247, 13884, 18523? l**2 + 4632*l - 21 What is the i'th term of 1348, 5054, 11240, 19912, 31076, 44738, 60904? i**3 + 1234*i**2 - 3*i + 116 What is the p'th term of 218808, 218810, 218812, 218814, 218816, 218818? 2*p + 218806 What is the l'th term of 239670, 239669, 239668, 239667? -l + 239671 What is the d'th term of 7081, 7162, 7243, 7324? 81*d + 7000 What is the v'th term of 375, 1470, 3287, 5820, 9063, 13010, 17655? -v**3 + 367*v**2 + v + 8 What is the c'th term of 1201, 1193, 1167, 1111, 1013? -2*c**3 + 3*c**2 - 3*c + 1203 What is the b'th term of -18286, -18286, -18278, -18256, -18214, -18146, -18046? b**3 - 2*b**2 - b - 18284 What is the z'th term of 406, 435, 452, 451, 426? -z**3 + 36*z + 371 What is the t'th term of 2002, 4259, 6516, 8773, 11030? 2257*t - 255 What is the k'th term of 724, 1515, 2378, 3313? 36*k**2 + 683*k + 5 What is the p'th term of -1038140, -2076276, -3114412, -4152548? -1038136*p - 4 What is the s'th term of -1181, -2343, -3489, -4619, -5733, -6831? 8*s**2 - 1186*s - 3 What is the y'th term of 69, 167, 331, 561? 33*y**2 - y + 37 What is the z'th term of -2153, -4225, -6295, -8363, -10429? z**2 - 2075*z - 79 What is the j'th term of 2485, 9919, 22289, 39577, 61765, 88835, 120769? -3*j**3 + 2486*j**2 - 3*j + 5 What is the x'th term of 2818, 2824, 2828, 2830? -x**2 + 9*x + 2810 What is the x'th term of 4572, 4569, 4566, 4563, 4560? -3*x + 4575 What is the p'th term of 386, 492, 600, 710, 822, 936, 1052? p**2 + 103*p + 282 What is the o'th term of 37, 291, 969, 2275, 4413, 7587? 34*o**3 + 8*o**2 - 8*o + 3 What is the g'th term of -2295, -4593, -6869, -9111, -11307, -13445, -15513? 2*g**3 - g**2 - 2309*g + 13 What is the d'th term of 442, 446, 450? 4*d + 438 What is the f'th term of -5440, -10455, -15482, -20527, -25596, -30695? -f**3 - 5008*f - 431 What is the w'th term of -276, -2131, -7142, -16887, -32944, -56891? -263*w**3 - 14*w + 1 What is the i'th term of -2208, -4294, -6380, -8466? -2086*i - 122 What is the h'th term of -127, -652, -1527, -2752, -4327, -6252? -175*h**2 + 48 What is the w'th term of 383649, 767300, 1150953, 1534608, 1918265, 2301924? w**2 + 383648*w What is the d'th term of 799, 1662, 2525, 3388, 4251? 863*d - 64 What is the j'th term of -86, -426, -768, -1112? -j**2 - 337*j + 252 What is the c'th term of 1472, 2923, 4370, 5813? -2*c**2 + 1457*c + 17 What is the p'th term of 18700, 18726, 18768, 18826? 8*p**2 + 2*p + 18690 What is the r'th term of -379, -3030, -10261, -24364, -47631, -82354, -130825, -195336? -382*r**3 + 2*r**2 + 17*r - 16 What is the n'th term of 355, 738, 1125, 1516, 1911? 2*n**2 + 377*n - 24 What is the a'th term of -33, -436, -1613, -3960, -7873, -13748? -66*a**3 + 9*a**2 + 32*a - 8 What is the a'th term of -1393, -1658, -2101, -2722, -3521, -4498? -89*a**2 + 2*a - 1306 What is the v'th term of -40557, -81097, -121627, -162147, -202657? 5*v**2 - 40555*v - 7 What is the h'th term of -5323, -5338, -5361, -5392, -5431, -5478, -5533? -4*h**2 - 3*h - 5316 What is the f'th term of -110514, -110512, -110510? 2*f - 110516 What is the t'th term of 4633, 4626, 4605, 4564, 4497, 4398? -t**3 - t**2 + 3*t + 4632 What is the r'th term of -637, -615, -567, -487, -369, -207, 5, 273? r**3 + 7*r**2 - 6*r - 639 What is the c'th term of -5949, -11893, -17825, -23739, -29629, -35489? c**3 - 5951*c + 1 What is the i'th term of 2420, 4794, 7170, 9548, 11928, 14310? i**2 + 2371*i + 48 What is the z'th term of 1937, 4095, 6253? 2158*z - 221 What is the i'th term of -19132, -38264, -57396, -76528? -19132*i What is the y'th term of -37, -91, -163, -253, -361? -9*y**2 - 27*y - 1 What is the x'th term of 390, 865, 1340? 475*x - 85 What is the n'th term of 6252, 124
{ "pile_set_name": "DM Mathematics" }
11)*k*k/(k/k**3*k)*k) assuming k is positive. k**(-42/11) Simplify ((d/(d**(-2)/d))**(-2/119))**(-1/2) assuming d is positive. d**(4/119) Simplify (f*f*f/(f/((f**10*f)/f))*(f**(2/7)/f)/f)**29 assuming f is positive. f**(2088/7) Simplify s*s**19*s*s**(-2/15) assuming s is positive. s**(313/15) Simplify (k**(4/3)/k)**(-3) assuming k is positive. 1/k Simplify (v**(3/8))**(-1/5) assuming v is positive. v**(-3/40) Simplify (v**(-13/3))**(-1/50) assuming v is positive. v**(13/150) Simplify (w/(w*w/(w*w**(-1/22))*w))**(-28) assuming w is positive. w**(322/11) Simplify b/(b/(b/b**(-11)))*b*b**(4/7) assuming b is positive. b**(95/7) Simplify ((y/(y*y/(y*y**(-3))*y))**31)**30 assuming y is positive. y**(-3720) Simplify (i**(-1/4)*i*i)**(2/11)/(i/(i/i**3)*i/(i/((i*(i*i**(-1/3)*i)/i*i)/i))*i*i*i) assuming i is positive. i**(-485/66) Simplify (r/(r/r**0))**(-35) assuming r is positive. 1 Simplify w*(w**(-1/5)/w*w)/w*w**(-4/7)*w**(2/7)/w**(-1/2) assuming w is positive. w**(1/70) Simplify (n/(n/n**(-6))*n)/n**(-13) assuming n is positive. n**8 Simplify (((a/(a*a**(1/2)/a*a))/a)/a)**(-12)*(a/(a*a**(-1)*a))/(a/(a/a**4)*a) assuming a is positive. a**25 Simplify w**(-1)*w**(-3/5)*(w/(w*w**2/w))**(-23) assuming w is positive. w**(107/5) Simplify (r/r**(2/13))**22 assuming r is positive. r**(242/13) Simplify b**(-2/27)*(b/((b**1/b)/b)*b)/b assuming b is positive. b**(52/27) Simplify ((i/(i*((i**(2/3)/i)/i)/i))/i*i**(-2))**(-8/9) assuming i is positive. i**(16/27) Simplify x**(-15)*x**(-17) assuming x is positive. x**(-32) Simplify ((j/(j*j*j**(-7)))/j**4)/(j/(j*j/j**2*j)*j)**21 assuming j is positive. j**(-19) Simplify (c*c/((c*c**(-2/3))/c))**(-1/2)/((c/c**(-1/4))/c*c)**(-15/7) assuming c is positive. c**(113/84) Simplify p**(-3/2)*p**(-6)*(p/(p/(p/(p*p**0*p))))/p*p**(-4/3) assuming p is positive. p**(-65/6) Simplify y**(-15/4)/y**36 assuming y is positive. y**(-159/4) Simplify n/(n/((n**19/n)/n))*n*n*n*n**36*n assuming n is positive. n**57 Simplify (y*(y/(y*y**(4/7)))/y*y*y**(-2)/y)/(y**1/y)**32 assuming y is positive. y**(-18/7) Simplify (d*d*(d*d**(-2/33))/d)/d**5 assuming d is positive. d**(-101/33) Simplify m/m**(2/11)*m*m*m/m**(5/4)*m*m*m*(m*m**(-5)*m)/(m/(m*m**(1/3))) assuming m is positive. m**(383/132) Simplify ((n**(-1/2)*n*n)/n)**(-32)/(n*n**(1/8)*n/(n/(n*n**(-3)))*n*n) assuming n is positive. n**(-137/8) Simplify ((n/n**(-1/4))/n**(-9))**30 assuming n is positive. n**(615/2) Simplify i**(-2/3)*i*i*i*i**1 assuming i is positive. i**(10/3) Simplify (p/(p/(((p*p**0)/p)/p)))/p**5*(p**(-2/7))**(4/5) assuming p is positive. p**(-218/35) Simplify (v**(-6)*v**7)**(-1/3) assuming v is positive. v**(-1/3) Simplify (z*z**(1/2))**(-21)/(z*z/(z*(z**4*z*z*z)/z)*z**0) assuming z is positive. z**(-53/2) Simplify (n/((n/n**(4/19))/n))/(n*n**(4/7)/n*n) assuming n is positive. n**(-48/133) Simplify (w**(2/7)/w)**(-23)/((w*w*w*w**(-4)*w)/(w/w**(1/5))) assuming w is positive. w**(603/35) Simplify (d/(d*(d/(d**(-3)/d))/d)*d)/((((d*d**(2/3))/d)/d)/d)*(d*d**3*d)/d**(-1/11) assuming d is positive. d**(113/33) Simplify (y/y**(-9))/y*(y*(y/(y**(-2/29)*y))/y*y)/y*y*y**(-8)*y**2*y*y assuming y is positive. y**(176/29) Simplify (g**12*g)/(g*g*g*g/g**(1/4)) assuming g is positive. g**(37/4) Simplify n*n**29*n**(-5) assuming n is positive. n**25 Simplify (z/(z/z**(-4/5)*z))**(-11/4) assuming z is positive. z**(99/20) Simplify (h**(-3/5)*h**(2/19))/((h**(-1/6)*h)/h**1) assuming h is positive. h**(-187/570) Simplify (p**(-6/5))**(-13) assuming p is positive. p**(78/5) Simplify (q**(-5)*q/q**(4/7))/(((q/(q**(-4/5)*q))/q)/q**(-1/5)) assuming q is positive. q**(-32/7) Simplify (l**(1/2)/l)**(2/43)*((l/l**(2/11)*l)/l)/(l*l**(2/11)) assuming l is positive. l**(-183/473) Simplify ((m*m*m**(3/7)/m)/m**(1/3))**(5/6) assuming m is positive. m**(115/126) Simplify (b**0)**(-16)*b/(b**(2/7)/b)*b*b*b*b**(-1/5) assuming b is positive. b**(158/35) Simplify (p/(p*(p*p**(-3/28))/p))/(p/p**17) assuming p is positive. p**(451/28) Simplify (p*p**0)**(2/155)/(p**(-1/5)/(p**(-3/5)*p*p)) assuming p is positive. p**(50/31) Simplify (s/s**1)**(-5)*s/(s**(-1)*s*s)*s/s**6 assuming s is positive. s**(-5) Simplify (h*h**(-7/5))/h**(-8/5) assuming h is positive. h**(6/5) Simplify (w**(-6))**(-18) assuming w is positive. w**108 Simplify p**(-3)*p*p**(-3/10) assuming p is positive. p**(-23/10) Simplify q**6/q*(q**(1/8)/q)/q*(q/(q*q*q**(2/7)))**(-3/5) assuming q is positive. q**(1091/280) Simplify (f*(f/(f**0/f))/f)**33/((f*((f**(-3)*f)/f)/f*f)/f**(-6)) assuming f is positive. f**62 Simplify (y**(-2/9)/(y**(-7)*y))**(-13) assuming y is positive. y**(-676/9) Simplify (c**(-4/5))**(4/21) assuming c is positive. c**(-16/105) Simplify (m/(m*(m**(-2/25)*m)/m*m*m))/(m*m/m**4) assuming m is positive. m**(2/25) Simplify (f/f**(2/65))/(f/f**(13/5)) assuming f is positive. f**(167/65) Simplify (u**(-2/7))**(-35) assuming u is positive. u**10 Simplify ((u*u**(-5/3))/u**8)**(4/7) assuming u is positive. u**(-104/21) Simplify b**9/b**(-6)*b**(-2/11)/b*b*b*b*b*b/(b*b**(2/7)/b)*b*b assuming b is positive. b**(1581/77) Simplify ((r**3)**(-6/5))**(3/11) assuming r is positive. r**(-54/55) Simplify (r**13/(r/(((r*r**(1/25))/r)/r)))**(-7) assuming r is positive. r**(-1932/25) Simplify (r**(2/31)*r*r/(r**(-1/3)*r))/(r*r**(-1/7)*r**(-7)/r) assuming r is positive. r**(5560/651) Simplify r**(-3)*r*r/r**(-9)*r*r assuming r is positive. r**10 Simplify (y*y**(3/2))**(-2)*y**0*(y*y/(((y*(y/(y/y**(2/11)))/y)/y)/y)*y*y)/y assuming y is positive. y**(-2/11) Simplify k*k**(-25)*k/((k**42*k*k*k)/k) assuming k is positive. k**(-67) Simplify v**(2/19)*v*v**(2/3)/v assuming v is positive. v**(44/57) Simplify p*p**(-2/9)*p**(-4/5)*p**2*p/p**(1/3) assuming p is positive. p**(119/45) Simplify (r**(-3/8)/(r*r**(-2/9)))/(r/(r*(r**(-2/7)*r)/r*r))**(-3/4) assuming r is positive. r**(-851/504) Simplify i**9/(i*i**(-2/17)/i)*(i/(i/i**1))**(-35) assuming i is positive. i**(-440/17) Simplify (b**(-1)*b*b**(4/3))**(3/4) assuming b is positive. b Simplify d**(3/11)/d**2 assuming d is positive. d**(-19/11) Simplify n**(-4/9)/(n/(n*n**(-15)*n*n)*n*n) assuming n is positive. n**(-139/9) Simplify (f**14/f**(-3/10))**(-4) assuming f is positive. f**(-286/5) Simplify (j**(1/5))**(-4)*(j/j**(-2/7))**(3/10) assuming j is positive. j**(-29/70) Simplify ((g/g**(-16))/g*g)**(-40) assuming g is positive. g**(-680) Simplify (r/(r/((r/r**(-2))/r)))**(-8/15) assuming r is positive. r**(-16/15) Simplify k*k**(-5/3)*k*k**(-4/13) assuming k is positive. k**(1/39) Simplify (t*(t*t/(t*(t**(-1/11)*t)/t))/t*t)/t**(-1/8) assuming t is positive. t**(195/88) Simplify (o/(o/((o*o/(o*o*o*o/(o*o*o/(o**13*o*o*o))*o))/o)*o)*o**(-1/4))**31 assuming o is positive. o**(-2263/4) Simplify (f**1*f*(f/(f/(f**4/f)))/f*f)/(f**3/(f*(f/((((f/f**(-3/7))/f)/f)/f))/f)) assuming f is positive. f**(32/7) Simplify (h/(h**(1/4)*h))**(24/11)/(h/h**1*h**(-3)) assuming h is positive. h**(27/11) Simplify c/(c**(-31)*c)*c/(c/(c*c/c**(-1)*c*c*c*c)*c) assuming c is positive. c**37 Simplify (j*j/j**(4/3)*j*j**(13/4))**(5/18) assuming j is positive. j**(295/216) Simplify ((y/(y/(((y/y**(-2/13))/y)/y)))/y**(-7))/(y*y**3*y*y*y*y**6) assuming y is positive. y**(-89/13) Simplify ((a**(-3))**(6/25))**(-1/29) assuming a is positive. a**(18/725) Simplify (h**(-1)*h)**(-37)*(h**(-1))**(3/8) assuming h is positive. h**(-3/8) Simplify ((q**(10/7)*q)/q**(-2/17))**(-11) assuming q is positive. q**(-3333/119) Simplify a**(-2/3)/(a*a**(-21)*a) assuming a is positive. a**(55/3) Simplify (p*p**1)**(1/4)*(p**1)**(-1/89) assuming p is positive. p**(87/178) Simplify b**(-1/10)*b*b**1 assuming b is positive. b**(19/10) Simplify ((f/f**(2/7))/f*f/(f/f**(-5)))**(9/4) assuming f is positive. f**(-333/28) Simplify ((v*v**(-2/3)*v)/v*v*v**(-5))/((v**(-2/3)*v)/v**(2/5)) assuming v is positive. v**(-18/5) Simplify (x/(x**(-1)*x))**(-41)/(x**(2/5)/x*x)**(1/9) assuming x is positive. x**(-1847/45) Simplify a**24/a**(-29) assuming a is positive. a**53 Simplify (f*f**(2/3))**(-24)*f**(1/3)*f*f**3 assuming f is positive. f**(-107/3) Simplify (k/(((k*k**1)/k)/k))/k**(-1/2)*(k/(k**(-6)*k*k))/(k/k**7) assuming k is positive. k**(25/2) Simplify (o/o**(1/2))**18 assuming o is positive. o**9 Simplify (d**(2/7)/d*d**(-1/3)/d)**(-12/13) assuming d is pos
{ "pile_set_name": "DM Mathematics" }
/((4/(-6))/1). Let d(b) = b**2 + 10. Let g be d(0). Let h = g + -2. Solve -u = -a*y + h, -2*y + 3*u + 4 = 2*y for y. 4 Let i(k) = 9 + 5*k**2 - 10*k**2 + 19*k + 7*k**2. Let h be i(-13). Suppose 4*a + a = h. Solve -5*q = 3*f + 20, -5*q = -4*f + f + a for q. -4 Suppose -3*x + x + 8 = 2*h, 4*x = -h + 7. Solve -m - 8 = h*f, 20 = 5*m + 2*f - 7*f for m. 1 Let r = -4 + 6. Let p be (1/2)/(r/20). Suppose 0*f = 4*f. Solve p*i - 1 = -3*k - 16, f = 4*k + 2*i + 6 for k. 0 Suppose -3*g = -b - 2*g, 0 = -2*b + g + 3. Let a be 4 + -2 + (2 - -1). Let z be (-6)/(-27) - (-25)/9. Solve 0 = z*d + 3*s, -b*d + d + a*s - 35 = 0 for d. -5 Let r(k) = -k**3 - 2*k**2 - 2*k - 1. Let j be r(-2). Let i(u) = -u + 3. Let c be i(j). Let g = 9 + -6. Solve c = -4*s + v + 12, -s + 2*v - g*v = -8 for s. 4 Suppose l = 3*l - 10. Solve -5*v = 5*f - 40, -8 - 8 = 3*f - l*v for f. 3 Let h = -2 + 6. Let g = -5 + h. Let f be (-2)/(-4) + g/(-2). Solve 3*j = 2*z + 7 + f, 0 = j for z. -4 Suppose 5*u + 11 = 71. Solve 3*l - u = 0, -3*i + 3*l - 1 = -l for i. 5 Suppose 3*w - 12 = w. Suppose -4*c + 6 = -w. Solve -2*b - 5*j = -18, c*j = -5*b + 2*j + 22 for b. 4 Suppose -2*h + 4*k + 8 = 3*h, k = 2*h - 5. Solve 2*r = -4*m + 18, 0*m + 17 = r + h*m for r. 1 Suppose 0 = -4*d + 3*t + t + 20, -2 = 2*t. Solve 3*f + 1 = -d*r - 6, -3*f = 3*r + 3 for r. -4 Let f = 5 + 0. Solve -4*m + 36 = -f*t, -5*t = 5*m - 0*m for t. -4 Let z be 21/28 + 26/8. Solve -z = -x + 4*j, 4*j + 1 = 2*x + 3*j for x. 0 Suppose d + 0*d + 4*n = 4, -4*n = 3*d - 4. Solve 5*s + 3*k = d, -28 = 2*s - 3*s + 5*k for s. 3 Let f be 35/(-10)*(-2 - -4). Let d = f + 14. Solve -p - i = -d, p + 4*p - 3*i - 11 = 0 for p. 4 Let z(j) = j**3 + 6*j**2 - 6*j + 13. Let d be z(-7). Solve 0 = 5*c - 20, -4*h - c = -d*c + 36 for h. -4 Let k(d) = d**2 + d - 70. Let a be k(8). Solve a*i = 4*w + 6, -w - 18 = -0*i + 5*i for i. -3 Let m = 33 - 11. Solve -2*q - 4*w = -0*w + m, 0 = -3*q - 5*w - 30 for q. -5 Suppose 25 = 2*d + 17. Solve c - 1 = 0, 0 = d*b - b - 3*c - 6 for b. 3 Let v = 10 + 0. Suppose 5*i = v + 10. Suppose z + 8 + 6 = 4*m, 0 = 2*m - i*z. Solve j + 1 = w + 3, -w - j = m for w. -3 Suppose -3*v + 30 = -0*v. Let d = -2 - 5. Let y = v + d. Solve -x - 2*x - 5*m = 0, -2*x = y*m for x. 0 Let l be -1 + 2/2 - -37. Let h = l - 24. Solve 0 = 5*o - 4*v + h + 2, -9 = -4*o - v for o. 1 Let n = -77 + 80. Solve -2*z = n*g - 9, -g = 4*z + 2*g - 9 for z. 0 Suppose -19 = -2*z + 51. Suppose 3*l + 5*y + 6 = 16, 4*y = -2*l + 8. Let a = l - 0. Solve -5*w - 5*o - z = a, 5*w = 6*o - 3*o - 11 for w. -4 Suppose -v + 4*q + 7 = 0, -q - 14 = -3*v + 4*q. Suppose 0 = -0*g - v*g + 9. Solve -8 = z - 3*m, -z + 2*m - g = 1 for z. 4 Suppose 0 = -5*a + 10 + 140. Let p = 17 + -8. Solve a - 2 = 4*z - 2*v, -5*z = 4*v - p for z. 5 Let n be 4/10*(223 + -3). Let t be 2/11 - (-72)/n. Solve -3 = 2*w - 3*f, -5*f - t = -16 for w. 3 Suppose -4*m + 49 = 3*o, 2*o + 31 = 3*o + 5*m. Solve -o = 3*d - p, 4*d - 3*p + 15 = -3 for d. -3 Let m be (1 - (2 - -30))/(-1). Suppose -m - 9 = -2*l. Solve -3*y - g - 7 = -22, 4*y - l = -3*g for y. 5 Let i = 2 + 1. Suppose 1 = -i*z + 5*l, 0 = -4*z - l + 6*l + 2. Solve -15 = -0*t + z*t + x, x + 3 = 0 for t. -4 Suppose d - 10 = 2*r, -5*d + 3*d + 2*r = -12. Suppose 0*b = -d*b. Let w(n) = -n**3 + 2. Let z be w(b). Solve 4 = -2*f, -z*p = -3*f + 4*f for p. 1 Let q be 10/(-55) - (-101)/11. Suppose a + 14 = 3*l, -2*l + q + 3 = 2*a. Solve -2*i - 3*w = -i - l, w = -4*i - 2 for i. -1 Suppose -j + 2*j = -5*h + 37, -4*h = 4*j - 20. Suppose -4*c = -2*c - h. Solve -z - 12 = c*t, -2*z = -5*t + z - 15 for t. -3 Let v = -3 + 39. Solve 5*h = -4*c - v, 6*h - 2*h = -3*c - 28 for c. -4 Let r(b) = b + 3. Let k(i) = -i. Let v(m) = k(m) - r(m). Let o be v(-4). Solve -3 = -o*u - 3*h + 4*h, 2*h - 2 = 2*u for u. 1 Let s(o) = -o**3 - 6*o**2 - 5*o + 5. Let m be s(-5). Suppose 8 = m*x - 17. Solve -h - 4*w = 13, -3*h + 9 = -x*w + w for h. -1 Suppose -5*l - u + 15 = -4*l, 0 = -u + 5. Let o = -8 + l. Let a be (-6)/(-8)*4*1. Solve 2*s - a = n - 0*s, -o*s = 2*n + 6 for n. -3 Suppose -z - 4 = -2*q + 2*z, -8 = -4*q - z. Suppose q*b = -2*b + 20. Solve 0 = 4*x + 3*s, b*x - 6*s = -s + 35 for x. 3 Let x be 4/10*360/12. Solve 3*h - 4*n - x = -0*n, 3 = -n for h. 0 Suppose 2*b + 3 = 3*b. Suppose -3*o + 15 = -b. Let n = o - 3. Solve u + 8 = z, n*z - 9 - 7 = u for z. 4 Suppose -64 = -0*f - 4*f. Suppose f - 4 = 3*i. Solve i = v + v, -3*c = 3*v + 3 for c. -3 Let s = -4 - -4. Solve -z + 32 = -4*z + 5*b, 2*z - 4*b + 24 = s for z. -4 Suppose 0 = -5*x - 5*r, -4*r - 23 = -4*x + 1. Solve -3*p + x*y = -3, -2*p + 33 = -4*p - 5*y for p. -4 Let k(r) = r**3 - 2*r**2 - 26*r - 4. Let y be k(-4). Solve -7 = -a - 2*c, 5*a + y = -4*c + 15 for a. -1 Let h(n) = -5*n + 32. Let o be h(6). Solve 5*m - o*z + 4*z + 15 = 0, -3*m = -2*z - 7 for m. -1 Suppose g + 4*j - 4 + 0 = 0, -4 = -g - j. Solve -5*i - 8 = 2*q, q + g = 3*q - i for q. 1 Suppose 4*k - 60 = k. Solve k = -4*g, 5*g - g + 15 = -5*l for l. 1 Suppose 4*b - 14 = 2*b. Let t = b + -4. Suppose 0*y = 2*y + 3*y. Solve y = -3*h - 2*h + 10, -k + h - t = 0 for k. -1 Let d(w) = -2*w**2 - 5*w + 6*w - 2 + 3*w**2. Let x be d(-2). Let t be 0 + x + 2 + 38. Solve 5*k - t = -5*q, 5*q - 4*k + 10 = k for q. 3 Suppose -v - 4*d + 13 = -2*d, 2*d = 10. Solve 5*k + 2*c + v + 7 = 0, -k - 2*c = 2 for k. -2 Suppose 4 + 3 = 2*i + j, 0 = 2*i + 2*j - 6. Solve i*k + 4 = 4*p - 4, 5 = 4*p - k for p. 1 Let q be 8/3 + (-6)/(-18). Solve -5*w + 10 = -w - q*h, -11 = -w + 5*h for w. 1 Let r be 6/(-15) - 12/(-5). Suppose 20 = r*c + 4. Solve 3*h - v = v + c, 4 = h - v for h. 0 Let s(f) = -f**3 - 5*f**2 - 6*f - 3. Let p be s(-4). Let o be 2/(-10) - (-384)/(-30). Let m = o - -16. Solve 0*y = 4*y + 4*r + 8, 14 = -p*y - m*r for y. -4 Suppose 0*s = 4*s + 12. Let m = 3 + s. Suppose m*x = -3*x + 9. Solve -x*y = -3*t, -4 - 1 = -4*t + 5*y for t. -5 Let j be 26 + 2/(0 - -2). Suppose 2*n = m + 12 + 42, -n = 5*m - j. Solve -2 = 5*c - n, f + 4*c - 15 = 0 for f. -5 Let y(a) = -a. Suppose -3 = 3*r + 3. Let t be y(r). Solve -l = t*p - 2, -3*l - p + 8 + 3 = 0 for l. 4 Let n be (6/4)/(6/20). Let i(d) = d. Let p be i(2). Suppose -5*a + a = 3*v - 11, -p*v + 4*a = -14. Solve v*b - 8 = s + 2*b, n*b = -4*s + 36 for s. 4 Suppose 16 = 4*p + 8. Solve -p*r + 5*w - 2 = 2*w, -3*w = 3*r - 27 for r. 5 Suppose 0*z - 2*z + 3*c - 1 = 0, -5 = -4*z - c. Suppose z = -q + 3. Solve 5*h = -2*p - 6, 3*p = 2*h - 7 - q for p. -3 Let l be (1/2)/(4/16) + 1. Solve 12 = 3*i, 0*z + i - 16 = -l*z for z. 4 Suppose -3*v + g + 9 = 0, 3*v + 15 = 8*v + 2*g. Solve v*d = -c - 5, c + 0*d = -d - 3 for c. -2 Suppose 0*w = 4*w. Let k = 3 + w. Suppose -3*a - 3*u + 30 = 0, 3*a - 20 = -0*a + 2*u. Solve 4*j + 27 + a = k*r, 3*j - 3*r = -30 for j. -5 Suppose 9 = 3*q - 0*q. Solve -10 = 2*b - 0*b, 0 = q*c - b - 2 for c. -1 Suppose -d + 0*d = 0. Solve 0 = 2*o + 2*o - 3*u + 20, d = -o - 2*u - 5 for o. -5 Let z = 145 + -144. Let v be (1 + -2)*-2 + 9. Solve 4*y - 15 = -x, -y = 3*x + v - z for x. -5 Suppose 4*o - 11 - 61 = -4*n, 74 = 5*o - 3*n. Suppose -6*z + 4*y = -8*z + 24, -y - o = -5*z. Solve 0*v - 5*v + w - 30 = 0, -v + 15 = z*w for v. -5 Suppose 5*g - 35 = -5*l, 5*l - 34 = -3*g - 5. Solve 3*v - 12 = -v + l*j, 2*v - 12 = -4*j for v. 4 Let x = 55 - 45. Solve 4*l - 3*f = -0*l - 8, f = 5*l + x for l. -2 Suppose 0*j + 2 = 2*j, c - 5*j + 2 = 0. Solve -4*v + 0*k + k + 24 = 0, 0 = -c*v - 4*k - 1 for v. 5 Suppose -3*q + 1 = -4*q. Let a be q/2 - (-14)/4. Solve 11 = -a*y - 4*z, -7 = 2*y - z + 4 for y. -5 Let t = -7 + 1. Let z = 10 + t. Solve -3*d + d + 12 = z*a, 8 = d + 3*a for d. 2 Let i(h) be the second derivative of -h**5/2 - h**4/12 + h**3/6 + h**2/2 - 5*h. Let l be i(-1). Solve -4*r - t - 4 = l, -2*t = -r - 10 for r. -4 Suppose -7*w - 13 = -48. Solve -4 = 2*y - w*h + 6, h = -5*y + 2 for y. 0 Suppose -25 = -2*s - 3*s. Suppose s*l - 5 = -4*m, 5*m - 2*l = l - 3. Let i = m + 0. Solve -x = -1, -5*n - 2*x - 1 - 7 = i for n. -2 Let a be 35/21 - (-2)/6. Solve a*m - 3*f - 9 = 0, f = -2*m - 6 + 3 for m. 0 Suppose -5*f = -3*f. Suppose -2*t = -5*t + 15. Suppose -3*d = x - 1, -4 + 5 = -x - t*d. Solve 0 + 4 = k + 3*h, x*k + 2*h - 16 = f for k. 4 Let g be (-4 + 4)*(-2 - -1). Suppose -t = 3*v - g*t - 4, 4*t - 4 = 0. Suppose l - v = 3. Solve -5*z + 5*k + 0*k - 20 = 0, 0 = l*z + k + 21 for z. -5 Let c(v) = -v
{ "pile_set_name": "DM Mathematics" }
452, 3450? -2*u + 3458 What is the z'th term of -1086, -1072, -1058, -1044, -1030, -1016? 14*z - 1100 What is the w'th term of 15, 35, 57, 81? w**2 + 17*w - 3 What is the u'th term of -15, -40, -75, -120, -175? -5*u**2 - 10*u What is the n'th term of -31, 0, 51, 122? 10*n**2 + n - 42 What is the y'th term of 87, 160, 221, 270, 307, 332? -6*y**2 + 91*y + 2 What is the l'th term of 114, 447, 990, 1731, 2658? -2*l**3 + 117*l**2 - 4*l + 3 What is the n'th term of -66, -65, -64, -63, -62, -61? n - 67 What is the l'th term of 239, 236, 231, 224, 215, 204? -l**2 + 240 What is the b'th term of -20, -11, -2, 7? 9*b - 29 What is the p'th term of 624, 625, 626, 627? p + 623 What is the l'th term of -26, -54, -84, -116? -l**2 - 25*l What is the n'th term of 2041, 4081, 6121, 8161? 2040*n + 1 What is the j'th term of 29, 39, 69, 131, 237, 399, 629? 2*j**3 - 2*j**2 + 2*j + 27 What is the n'th term of -45, -31, 7, 81, 203, 385, 639, 977? 2*n**3 - 47 What is the h'th term of 161, 160, 159, 158? -h + 162 What is the w'th term of -53, -47, -39, -29, -17? w**2 + 3*w - 57 What is the q'th term of -70, -158, -272, -424, -626, -890, -1228, -1652? -2*q**3 - q**2 - 71*q + 4 What is the f'th term of -48, -58, -66, -72, -76? f**2 - 13*f - 36 What is the w'th term of 386, 388, 402, 434, 490, 576, 698? w**3 - 5*w + 390 What is the y'th term of 57, 66, 81, 102, 129, 162? 3*y**2 + 54 What is the a'th term of -14789, -14790, -14791? -a - 14788 What is the w'th term of 11561, 11550, 11525, 11480, 11409, 11306, 11165? -w**3 - w**2 - w + 11564 What is the y'th term of -100, -238, -462, -772, -1168? -43*y**2 - 9*y - 48 What is the r'th term of -16, -28, -48, -76, -112? -4*r**2 - 12 What is the a'th term of 4, -60, -242, -602, -1200, -2096? -10*a**3 + a**2 + 3*a + 10 What is the k'th term of 8935, 8942, 8961, 8998, 9059, 9150, 9277? k**3 + 8934 What is the v'th term of 115, 258, 459, 748, 1155, 1710, 2443? 5*v**3 - v**2 + 111*v What is the p'th term of -7, -40, -93, -166? -10*p**2 - 3*p + 6 What is the n'th term of -13900, -27799, -41698, -55597, -69496, -83395? -13899*n - 1 What is the u'th term of 248, 243, 236, 227, 216? -u**2 - 2*u + 251 What is the g'th term of -30, -77, -124, -171, -218? -47*g + 17 What is the d'th term of -279, -563, -855, -1155, -1463, -1779, -2103? -4*d**2 - 272*d - 3 What is the v'th term of -61, -120, -175, -226, -273, -316? 2*v**2 - 65*v + 2 What is the g'th term of 4, -51, -158, -329, -576, -911, -1346, -1893? -2*g**3 - 14*g**2 + g + 19 What is the x'th term of 16, 32, 48, 64? 16*x What is the x'th term of -49, -513, -1777, -4243, -8313, -14389, -22873? -67*x**3 + 2*x**2 - x + 17 What is the d'th term of 71, 40, -25, -142, -329, -604, -985, -1490? -3*d**3 + d**2 - 13*d + 86 What is the h'th term of 31, 191, 457, 829, 1307, 1891, 2581? 53*h**2 + h - 23 What is the l'th term of -453, -906, -1363, -1830, -2313? -l**3 + 4*l**2 - 458*l + 2 What is the g'th term of 81, 113, 133, 135, 113, 61, -27? -g**3 + 39*g + 43 What is the t'th term of -85, -169, -253, -337, -421, -505? -84*t - 1 What is the d'th term of 120, 234, 346, 456, 564, 670? -d**2 + 117*d + 4 What is the o'th term of 23, 72, 157, 278, 435, 628? 18*o**2 - 5*o + 10 What is the a'th term of -12, -18, -16, -6, 12, 38? 4*a**2 - 18*a + 2 What is the w'th term of -398, -394, -390, -386, -382, -378? 4*w - 402 What is the n'th term of 111, 234, 357? 123*n - 12 What is the q'th term of 69, 148, 225, 300? -q**2 + 82*q - 12 What is the a'th term of 717, 712, 717, 738, 781, 852, 957? a**3 - a**2 - 9*a + 726 What is the a'th term of 112, 225, 338, 451, 564, 677? 113*a - 1 What is the z'th term of -56, -308, -994, -2330, -4532, -7816, -12398, -18494? -36*z**3 - z**2 + 3*z - 22 What is the h'th term of 298, 592, 884, 1174? -h**2 + 297*h + 2 What is the r'th term of -25, -69, -133, -217, -321, -445, -589? -10*r**2 - 14*r - 1 What is the l'th term of 1035, 1030, 1023, 1014? -l**2 - 2*l + 1038 What is the g'th term of 100, 345, 744, 1303, 2028, 2925? g**3 + 71*g**2 + 25*g + 3 What is the s'th term of -131, -251, -373, -497, -623, -751, -881? -s**2 - 117*s - 13 What is the l'th term of -55, -53, -51, -49? 2*l - 57 What is the t'th term of -33, 59, 213, 429, 707? 31*t**2 - t - 63 What is the s'th term of 78, 62, 48, 36, 26, 18, 12? s**2 - 19*s + 96 What is the k'th term of -48, -66, -96, -138, -192, -258? -6*k**2 - 42 What is the k'th term of -2488, -2483, -2468, -2437, -2384, -2303? k**3 - k**2 + k - 2489 What is the q'th term of 135, 285, 457, 663, 915, 1225? 2*q**3 - q**2 + 139*q - 5 What is the a'th term of 15, 40, 67, 96, 127, 160, 195? a**2 + 22*a - 8 What is the b'th term of 460, 458, 456, 454? -2*b + 462 What is the r'th term of 36, 46, 60, 78, 100, 126? 2*r**2 + 4*r + 30 What is the s'th term of 37, 2, -107, -332, -715? -7*s**3 + 5*s**2 - s + 40 What is the m'th term of -62, -127, -192? -65*m + 3 What is the z'th term of 17, 53, 97, 137, 161, 157, 113? -2*z**3 + 16*z**2 + 2*z + 1 What is the z'th term of -93, -67, -21, 51, 155? z**3 + 4*z**2 + 7*z - 105 What is the x'th term of 133, 125, 105, 67, 5, -87? -x**3 - x + 135 What is the c'th term of -550, -1085, -1612, -2125, -2618, -3085, -3520, -3917? c**3 - 2*c**2 - 536*c - 13 What is the t'th term of 2, 84, 324, 800, 1590? 13*t**3 + t**2 - 12*t What is the b'th term of 49, 128, 271, 490, 797? 2*b**3 + 20*b**2 + 5*b + 22 What is the h'th term of -558, -567, -578, -591, -606, -623, -642? -h**2 - 6*h - 551 What is the c'th term of 822, 1631, 2440, 3249, 4058, 4867? 809*c + 13 What is the x'th term of 4, 2, -40, -152, -364, -706, -1208? -5*x**3 + 10*x**2 + 3*x - 4 What is the g'th term of 70, 61, 46, 25, -2? -3*g**2 + 73 What is the k'th term of 59, 37, -21, -133, -317? -3*k**3 - k + 63 What is the d'th term of 25, 33, 55, 97, 165? d**3 + d**2 - 2*d + 25 What is the g'th term of 64, 126, 188, 250? 62*g + 2 What is the m'th term of -666, -671, -680, -693? -2*m**2 + m - 665 What is the u'th term of 445, 887, 1323, 1753? -3*u**2 + 451*u - 3 What is the l'th term of -10, -13, -26, -55, -106? -l**3 + l**2 + l - 11 What is the a'th term of -25, -34, -43? -9*a - 16 What is the y'th term of -147, -178, -197, -198, -175, -122, -33? y**3 - 38*y - 110 What is the v'th term of -63, -118, -171, -222? v**2 - 58*v - 6 What is the h'th term of -43, -34, -23, -10, 5, 22, 41? h**2 + 6*h - 50 What is the h'th term of -66, -92, -166, -312, -554? -4*h**3 + 2*h - 64 What is the l'th term of -568, -566, -564, -562, -560, -558? 2*l - 570 What is the p'th term of 22, 18, 14? -4*p + 26 What is the o'th term of 58, 46, 34, 28, 34? o**3 - 6*o**2 - o + 64 What is the q'th term of -275, -242, -197, -134, -47, 70, 223? q**3 + 26*q - 302 What is the g'th term of -72, -136, -204, -276, -352, -432, -516? -2*g**2 - 58*g - 12 What is the v'th term of -262, -513, -748, -961, -1146, -1297? v**3 + 2*v**2 - 264*v - 1 What is the w'th term of -5, -6, -1, 10, 27? 3*w**2 - 10*w + 2 What is the f'th term of -396, -385, -362, -321, -256, -161, -30? f**3 + 4*f - 401 What is the z'th term of -36, -74, -146, -258, -416? -z**3 - 11*z**2 + 2*z - 26 What is the o'th term of 2430, 4866, 7304, 9744, 12186, 14630, 17076? o**2 + 2433*o - 4 What is the t'th term of 178, 180, 184, 190, 198, 208? t**2 - t + 178 What is the h'th term of 6389, 6390, 6391, 6392? h + 6388 What is the v'th term of -450, -463, -484, -513, -550? -4*v**2 - v - 445 What is the n'th term of 45, 178, 399, 708, 1105, 1590, 2163? 44*n**2 + n What is the u'th term of -273, -281, -293, -309, -329? -2*u**2 - 2*u - 269 What is the v'th term of -118, -122, -126, -130, -134? -4*v - 114 What is the r'th term of 24, 31, 38? 7*r + 17 What is the a'th term of -29, -59, -91, -125, -161, -199, -239? -a**2 - 27*a - 1 What is the y'th term of 5, -5, -29, -67, -119? -7*y**2 + 11*y + 1 What is the s'th term of 40, 112, 240, 430, 688, 1020, 1432? s**3 + 22*s**2 - s + 18 What is the j'th term of 204, 822, 1852, 3294, 5148, 7414? 206*j**2 - 2 What is the b'th term of -402, -400, -398, -396? 2*b - 404 What is the b'th term of 59, 107, 159, 215? 2*b**2 + 42*b + 15 What is the q'th term of 871, 861, 847, 829? -2*q**2 - 4*q + 877 What is the k'th term of -30, -44, -64, -90, -122, -160? -3*k**2 - 5*k - 22 What is the k'th term of -181, -373, -565? -192*k + 11 What
{ "pile_set_name": "DM Mathematics" }
e nearest one thousand. 29000 Let a = -688 + 320. Let q = a - -367.22. What is q rounded to 1 dp? -0.8 Let m = -123304.766209228 - 0.236190772. Let n = m + 123257. Let u = n - -48. Round u to four dps. -0.0024 Let b = -14577 + 14576.9999917474. Round b to 7 dps. -0.0000083 Let r(z) = -310*z - 90. Suppose 5*c + o + 55 = 0, -21*o = 5*c - 22*o + 55. Let a be r(c). What is a rounded to the nearest 100? 3300 Let t = -684.3 + 684.2987431. Round t to five dps. -0.00126 Let g = -161 - -160.591. Let w = g - -0.71. What is w rounded to one decimal place? 0.3 Let u = 27294 + -27014.73. Let n = -281 + u. Round n to 0 decimal places. -2 Let i = -303 - -302.688. Let s = i + 0.30747. What is s rounded to 4 dps? -0.0045 Let w = 521.4 + -541.25. Round w to the nearest 10. -20 Let c(a) = 20451*a + 83. Let g be c(8). Suppose 10*l = -34641 + g. Let j = l - 48805. What is j rounded to the nearest ten thousand? -40000 Let g = -2416.3505 + 2413. Round g to two decimal places. -3.35 Let p = 548 - 547.7881. Let s = p - 244.6119. What is s rounded to the nearest ten? -240 Let v be (8642/4)/((-36)/(-144)). Suppose -v = -5*u + 158. Round u to the nearest 100. 1800 Let j(k) = 382*k**3 + 16*k**2 - 29*k + 37. Suppose 29*a = 25*a - 84. Let x be j(a). Round x to the nearest one million. -4000000 Let q = -41 + 46. Suppose 2*k + 2*k - 4*a = 90862316, q*a = 4*k - 90862313. Suppose -k - 9284418 = 10*l. Round l to the nearest 1000000. -3000000 Let m = -2039 + 2022.66. Let u = 16.3401121 + m. Round u to five decimal places. 0.00011 Let v = 7110.9508 - 7097.6. What is v rounded to one decimal place? 13.4 Let i = 275 + -273.8. Let b = -1.20244 + i. What is b rounded to 3 dps? -0.002 Let k = 37 + -22. Suppose 0*h = 5*h - k. Suppose -h*s = -3*c - 8399988, -3*s + 4*c + 393490 = -8006494. What is s rounded to the nearest 100000? 2800000 Let v = -516.66 - -513. Let j = 4.226 + v. What is j rounded to 1 dp? 0.6 Let j = 131.67 - 131.67022688. Round j to five decimal places. -0.00023 Let i = 11968.4 + -11968.3924219. What is i rounded to four decimal places? 0.0076 Let u = -106 - -89. Let o = u - -13.5. Let m = o + 1.17. What is m rounded to one dp? -2.3 Let s = -2974.9 - -2974.9024542. What is s rounded to 4 decimal places? 0.0025 Let i be 9/(18/8) - (-2 + 0). Suppose 9*s + i = 33. Let d(a) = -1230*a - 10. Let h be d(s). What is h rounded to the nearest 10000? 0 Let h = 0.17711 + -10.23011. Let q = h + 0.053. Let x = -9.99926 - q. What is x rounded to four decimal places? 0.0007 Let r = 72 - 51. Let p be r/12 - (-5)/20. Let x be p/5 - (-540000018)/(-45). Round x to the nearest 1000000. -12000000 Suppose 4*c = -v + 7333605, 0 = 76*c - 77*c + 3*v + 1833385. Round c to the nearest one hundred thousand. 1800000 Let h = 1398 + -3957. Let y = -2559.1351 - h. Round y to 2 decimal places. -0.14 Let p = -1359 - -865. Let n = -249 + p. What is n rounded to the nearest one hundred? -700 Let v = -28.113 + 28. Let f = 30.387 - v. Round f to the nearest integer. 31 Let h = 659 - 666.81. Let w = h - -0.41. Let s = w + 7.3725. What is s rounded to 3 decimal places? -0.028 Let p(j) = 5*j**2 + 8*j + 5. Let b be p(-2). Let m(t) = 5765*t**2 + t + 3. Let d be m(b). Let c = 166977 - d. What is c rounded to the nearest one million? 0 Let h = 180250793.13447 - 180249992. Let b = h + 0.16553. Round b to the nearest 10. 800 Suppose -b - h + 1 = 0, -2*b + 2*h = 3*b + 2. Suppose -18 = -3*y - 3*t, b = 4*y + 3*t + 2*t - 28. Suppose 0 = s + s + y. What is s rounded to one decimal place? -1 Let a = 9026.29892187 - 9026.3. What is a rounded to six dps? -0.001078 Let r be (-2)/6*11909*-3. Let c = 8583 + -13792. Let y = r + c. What is y rounded to the nearest 1000? 7000 Suppose s - 32809 = -a, 2*s + 69110 + 62096 = 4*a. Suppose 6404 = -5*p + a. Let i = -29880 + p. Round i to the nearest 10000. -20000 Let p = 72191.000052321 - 72191. Round p to five dps. 0.00005 Let q = -27943 - -27942.9944693. Round q to 4 decimal places. -0.0055 Let w = 0.02 - 13.72. Let z = 88.7 + w. Let s = z - 75.0066. What is s rounded to three decimal places? -0.007 Let i = -26953.72569 + 27521.728. Let o = -124 - -692. Let c = i - o. What is c rounded to 4 decimal places? 0.0023 Let m = 663.2 - 1226.3. Round m to the nearest one hundred. -600 Let c = 198 - -38. Let j = c + -235.9768. Round j to two decimal places. 0.02 Let z = 1572516 - 69203516. What is z rounded to the nearest 1000000? -68000000 Let m = -3857.95396 - -3858. Round m to 3 decimal places. 0.046 Let g = 3905.9999994857 + -3906. Round g to seven dps. -0.0000005 Let c = -169 - -171. Suppose -2*g - 630 = -c*d, 236 = 5*g + 2*d + 1846. Round g to the nearest ten. -320 Suppose 30 = 7*c - 54. Suppose -c*i - 243293 + 882893 = 0. Round i to the nearest 1000. 53000 Let x = -18.84 + 0.76. Let r = x + 19. Let j = r + -0.920062. What is j rounded to five dps? -0.00006 Let c = -362.93 - -364.850954. Let a = 7.920958 - c. Let m = a - 6. Round m to six decimal places. 0.000004 Let b = 10036.7387 - 10038. Let r = -1.32 - b. What is r rounded to three decimal places? -0.059 Let z be (-175)/(-10) - 6/(-12). Let d(m) = -m**3 + 18*m**2 + m - 20. Let q be d(z). What is q rounded to the nearest integer? -2 Let f = 2.2015 - -0.1775. Let k = -3.2 + 5.92. Let o = k - f. Round o to two decimal places. 0.34 Let r be (12 - 581)*88/11. Round r to the nearest 1000. -5000 Let p be (-300)/45*606822/(-95). What is p rounded to the nearest one hundred? 42600 Suppose -5*t + 6 = 1. Suppose 2*c + f - t = 0, 3*c - 2*f + 0 = 19. Suppose 5*s - c*x = 9512, 3*s + 4*x - 3784 = s. Round s to the nearest one hundred. 1900 Let q = 3.553497 + -3.5736. Let a = -55.0205 + 55. Let d = a - q. What is d rounded to four dps? -0.0004 Let k = 121685.967 + -121736. What is k rounded to 1 dp? -50 Let l = -0.066 - -31.066. Let a = 4709440 + -4709471.000368. Let i = a + l. Round i to five dps. -0.00037 Let v = -172.999978756 + 173. What is v rounded to 7 decimal places? 0.0000212 Let j = -16339.3 + 13146. Round j to the nearest 10. -3190 Let l be 2 + (0 - (1 - 2)). Suppose 3*r - 7*g = -4*g - 984012, l*g = -3*r - 983988. Round r to the nearest ten thousand. -330000 Let y(m) = -2*m**2 + 10*m - 14. Let n be y(-39). Let j = n - -2373. What is j rounded to the nearest one hundred? -1100 Suppose 3*h - 5393 = 2227. Suppose h = -0*w + 4*w. Let m be w*125*(-13 - 3). Round m to the nearest one hundred thousand. -1300000 Let c = 1115 - 961.8. Let v = c + -153.3307. Round v to two dps. -0.13 Let i = -1038 + 449. Let o = -365 - i. Let q = 226.46 - o. Round q to one dp. 2.5 Let n = -46923 + 46920.2753. What is n rounded to 2 decimal places? -2.72 Let c = -461.806 - -0.806. Let s = c - -461.000001092. Round s to seven dps. 0.0000011 Let y be (762/8)/(51/476). Let k = y - 1563. Round k to the nearest one hundred. -700 Let t = -77.37 - -57.905. What is t rounded to zero decimal places? -19 Let o be (-5)/(-5) - (-2 - 31). Let h be (-108358)/o + 3/(-1). Round h to the nearest 1000. -3000 Suppose 83560810 = -158*g + 261*g. Round g to the nearest 1000. 811000 Let h = 0.2871 - 0.0062. Let y = h - 0.0094. Round y to 2 decimal places. 0.27 Suppose 4*i - 876280 = o, 41*i - 40*i = 5*o + 4381495. Round o to the nearest one hundred thousand. -900000 Let s = -29.15 - 0.55. Let v = s - -7.7. Let x = -22.000002 - v. What is x rounded to five decimal places? 0 Let o = 1.1936 + -0.0436. Let d = o + -16.25. Round d to the nearest integer. -15 Let t = 5931 + -5930.99998317. What is t rounded to 7 decimal places? 0.0000168 Let o = 19103.623275 - 19104. Let b = o - 65.632175. Let g = 66 + b. Round g to three dps. -0.009 Let i = 1347.999988649 - 1348. Round i to six dps. -0.000011 Let s = 18743.3588 - 18747. What is s rounded to 1 decimal place? -3.6 Suppose -4*p - 12 = -8*p, 5*c + 92295579 = 3*p. Let a = c + -8980886. What is a rounded to the nearest 1000000? -27000000 Let w = 6.168502 + -6.146. Round w to 3 dps. 0.023 Let m(v) = v**3 + 10*v**2 + 21*v - 5. Let c be m(-6). Let y be (-14040)/c*(-3800)/6. Round y to the nearest 10000. 680000 Let p = -0.0817 + 0.4187. Let z = p + -0.955. Round z to 1 dp. -0.6 Let h = -105858.99893 - -105858. Let g = -1 + 2. Let b = h + g. What is b rounded to four decimal places? 0.0011 Let u = -0.382 + -215.618. Let y = 333 + u. Let h = -116.862
{ "pile_set_name": "DM Mathematics" }
*t**2 + 7*t - 4. Let k be d(7). What are the prime factors of k/w + -1 + 4? 2, 3 Suppose -4*a - 4*v + 104 = 0, 3*a = 4*v - 6*v + 73. Let i be 24/(-21)*a/(-6). Let h(d) = 11*d + 16. List the prime factors of h(i). 2, 3, 5 Let z(x) = 3*x**2 + 8*x - 20. Let l be z(4). Let q be 1/(0 + -1)*34. Let w = l + q. List the prime factors of w. 2, 13 Suppose -5597 = -10*j + 27243. What are the prime factors of j? 2, 821 Let m be -3 + 4*3/4. Suppose 0*a - 3*a + 6 = m. Suppose -4*l = -2*p + 56, a*p + 4*l - 58 = 6*l. List the prime factors of p. 2, 3, 5 Let k = 718 + -318. List the prime factors of k. 2, 5 List the prime factors of (-2 - (5240 - 0))*(-4)/8. 2621 Let x(f) = f**2 - 3*f + 4. Let z be x(3). Suppose z*w - 102 = 386. Let u = w - 83. What are the prime factors of u? 3, 13 Let c(k) = k**3 + 5*k**2 - 2. Let u be c(-4). Suppose 0 = 4*p - 6 - u. Suppose 4*h = p*i + 157, -2*i = -h - 1 + 41. What are the prime factors of h? 2, 19 Suppose -h - 1904 = -8*h. What are the prime factors of h? 2, 17 Let i(a) = -a + 30. Let p be (-2)/(-8) - 14/56. What are the prime factors of i(p)? 2, 3, 5 Let t be 12/(6/(-2)) - -4. Suppose -5*i + t*y = 3*y - 73, -2*y = 3*i - 43. Let o(g) = g**3 - 18*g**2 + 18*g - 5. List the prime factors of o(i). 2, 3 Suppose -35*o = -24*o - 1628. List the prime factors of o. 2, 37 Suppose 10*o = 7*o + 15. Suppose -240 = -b + 4*y, o*b - 3*y = -2*y + 1295. List the prime factors of b. 2, 5, 13 Suppose -15 = 5*r + 3*s, 5*r - 9*s + 5 = -10*s. Suppose -3*u + 216 = 3*f, r*u + 5*u - 356 = -4*f. List the prime factors of u. 2, 17 Let z(c) = 3*c**3 - 22*c**2 + 4*c + 1. List the prime factors of z(13). 2, 7, 11, 19 Let r(s) = s**3 + 6*s**2 + 4*s + 4. Let t be r(-5). Let o = -5 + t. List the prime factors of -3 + o + 15 - 2. 2, 7 Let b be 1/((-4)/12) + 8. Suppose 39 = 3*g - i, 0*g + 5*i - 45 = -b*g. What are the prime factors of g? 2, 3 Let s = -206 - -480. What are the prime factors of s? 2, 137 Let v(q) = 13 + 11 - 2*q - 1. What are the prime factors of v(-17)? 3, 19 Let i(h) = -2*h**2 - 58 - 11*h**2 + 14*h**2 + 11*h. What are the prime factors of i(-18)? 2, 17 Let g = 52 + -39. Let q(s) = 6*s - 1. Let o be q(1). Suppose -w + 155 = o*b + 2*w, -3*w = -b + g. What are the prime factors of b? 2, 7 Let t = -454 + 642. Suppose 5*m + n = 211, t = 4*m + 2*n - 6*n. What are the prime factors of m? 43 Suppose 5*n - 580 = -240. Suppose -s + 30 = 4*s. What are the prime factors of (-1)/3 + n/s? 11 Let f = 4 + 16. Suppose -72*r - 10 = -74*r. Suppose -q - f = -r*q, -q = d - 24. What are the prime factors of d? 19 Let y = -9 + 9. Let r(s) = -2*s**3 - 6*s + 7 - 5*s**3 + y*s**3 + 7*s**2 + 6*s**3. List the prime factors of r(6). 7 Let m(s) = 8*s**2 - 3*s - 2. Let o(u) = u**3 - 12*u**2 - 12*u - 14. Let f be o(13). List the prime factors of m(f). 3 Suppose 4*v - 8 = -0*v. Let s = 0 + v. Suppose -s*j - 2*j = 4*r - 44, 5*j + 3*r = 65. List the prime factors of j. 2 Let j(n) = -n**3 + n**2 + 5*n + 6. Suppose -p = 10 - 7. What are the prime factors of j(p)? 3 Let q(l) = l**3 + 6*l**2 + l + 7. Let x be q(-6). Let o be 8/(-10)*(6 - x). Let s = 15 - o. What are the prime factors of s? 19 Let a(u) = 4*u**2 - 6*u - 1. Let b be a(3). Let j = -56 + b. Let n = j - -68. What are the prime factors of n? 29 Let c(m) = -11*m + 2*m**2 + 19 - 3*m**2 + 2*m - m**3 + 13*m**2. List the prime factors of c(11). 41 Let i(y) = -2*y**2 - 23*y + 4. Let c(f) = -f**3 + f**2 + 5*f - 7. Let o be c(3). List the prime factors of i(o). 2, 17 What are the prime factors of (5 + (-771)/21)/((-3)/63)? 2, 3, 37 Let x(z) = -z**3 + 11*z**2 + 3*z - 13. Let g = 54 + -44. List the prime factors of x(g). 3, 13 Let c = -22 - -70. Suppose t = 29 + c. Let x = t - 52. What are the prime factors of x? 5 List the prime factors of (-2559 + 6)*((-52)/(-12) - 5). 2, 23, 37 Let g be ((-2)/(-7))/((-3)/(-21))*4. Suppose g*p - 2*p = 390. What are the prime factors of p? 5, 13 Let f be 2*(-3)/8*-4. Suppose 0 = 3*d - 0*p + f*p + 12, 5*p + 11 = -4*d. What are the prime factors of -2*d/6 - -3? 2, 3 Let a = -217 - -224. Let n(r) be the second derivative of r**3/3 - 2*r**2 + 2*r. What are the prime factors of n(a)? 2, 5 Suppose -f + 2*l = -1690, 43*l - 1705 = -f + 40*l. List the prime factors of f. 2, 53 Let j(c) = 99*c + 86*c + 9 - 167*c. List the prime factors of j(4). 3 Suppose 35*k - 44 = 31*k. Let a(d) = d**2 - 4*d + 5. List the prime factors of a(k). 2, 41 Let o(v) = -279*v - 386. List the prime factors of o(-6). 2, 7, 23 Let y(i) = 59*i**2 + 10*i + 26. What are the prime factors of y(-6)? 2, 5, 11, 19 Let o be -4*(-75)/6 - -4. Let c = o + -39. What are the prime factors of c? 3, 5 Suppose -4*r - 840 = 2*u - 3878, 6*r + u - 4563 = 0. What are the prime factors of r? 761 Let q be (10/(-6))/((-6)/(-18)*-1). Suppose q*u = 10*u - 110. What are the prime factors of u? 2, 11 Suppose -2*a = 3*a - 25, 0 = 2*x + 3*a - 23. Suppose x*i = 68 + 64. List the prime factors of i. 3, 11 Let p(d) = -d**3 + 8*d**2 - 6*d - 9. Let t be p(7). List the prime factors of t - (0 - 4) - -11. 13 What are the prime factors of 9324/20 - (-8)/10? 467 Let u = 39 - 45. List the prime factors of ((-9)/6)/(3/u). 3 Let p = 43 + -22. Suppose 0 = 8*g - 7*g - p. List the prime factors of g. 3, 7 Let c(u) = -5*u**2 - 4*u - 6. Let a(y) = -3*y**2 - 2*y - 3. Let n(j) = -7*a(j) + 3*c(j). List the prime factors of n(-4). 7, 13 Suppose 5*m + 11 = 3*m - y, -2*m + 2*y = 8. Suppose -f + 2*f - 2 = 0. List the prime factors of (f/m)/(9/(-90)). 2 Let v(j) = -3*j**3 + 1. Let k be v(-1). Suppose d + 0*d = -2*n + k, 3*d - 5*n = 1. Suppose -d*w = -31 - 15. What are the prime factors of w? 23 Let b be (82 - -4)/((-4)/(-6)). Suppose -4*t = 17 - b. Suppose -5*v + t + 122 = 0. What are the prime factors of v? 2, 3, 5 Let z = 1136 + -345. What are the prime factors of z? 7, 113 Suppose -2*z + 1421 = -1195. List the prime factors of z. 2, 3, 109 Let z = -67 - -99. Let p be 2/(-6) - z/12. Let l(b) = -5*b + 4. What are the prime factors of l(p)? 19 Suppose 4*v - 3*v - 3 = 0. Suppose -16 = -2*w + 4*h, v*h - 2*h = 4*w - 11. List the prime factors of w. 2 Let l(w) = -4*w - 13. Let z be l(-14). Suppose 34*s = z*s - 864. What are the prime factors of s? 2, 3 Suppose -10 = -5*m - 5. List the prime factors of 58 + (m - 5) + 5. 59 Let x(b) = 48*b + 2. Let t be x(-3). What are the prime factors of (-2)/7 + t/(-7)? 2, 5 Suppose 9*v = -3*w + 4*v + 300, 5*w + 2*v = 500. Let l = w + -63. List the prime factors of l. 37 Let u(i) = 6*i - 1 - 2*i - 5*i - 1. Let d be ((-18)/(-7))/(3/(-14)). List the prime factors of u(d). 2, 5 Let f be 6/(1 - -1)*1. Suppose -d + f*o - 4 = -10, -5*d = 2*o - 47. What are the prime factors of d? 3 Let a be (-5 - -2) + 3 + 3. Suppose 3*q = -7*i + 4*i + 984, -4*i = -a*q - 1305. List the prime factors of i/15 + (-2)/(-10). 2, 11 Let m = 9 - 6. Suppose 0 = m*b - 0 - 15. Suppose -5*k - s + 6*s - b = 0, 0 = 3*s - 12. What are the prime factors of k? 3 Let k(t) = 4*t**2 + 2*t - 1. Let c be k(1). Suppose c*w - 55 = -10. What are the prime factors of (9/6)/(w/42)? 7 Let i = 11 + -16. Let h = i + 5. What are the prime factors of 29 - -10 - (h - -4)? 5, 7 Suppose 0 = 4*u - 404 + 152. Let l = -9 - -24. Suppose 3 - l = 4*p, -2*i = -3*p - u. List the prime factors of i. 3 Let w(c) be the first derivative of -c**4/2 + 2*c**3/3 - c**2 - 2*c - 6. List the prime factors of w(-3). 2, 19 Let l = 6301 + -3605. List the prime factors of l. 2, 337 Let x(y) = -2*y**3 + 49*y**2 + 50*y + 48. What are the prime factors of x(25)? 673 What are the prime factors of -1 + 489 - ((-36)/(-6) + -2)? 2, 11 Let u be 108/(-8)*(-64)/(-12). Suppose -5*j + 6*g - 108 = 2*g, j = -3*g - 14. Let i = j - u. What are the prime factors of i? 2, 13 Suppose 0 = -5*c - u + 23, -2*c - u = -8 - 0. Let b = 0 + c. Suppose 3*t = 3*q + 9, 2*t - 3*t + b*q = 5. What are the prime factors of t? 5 What are the prime factors of (-313)/(-4*5/20)? 313 Suppose -21 - 149 = 5*t. Let j = 75 - t. What are the prime factors of j? 109 Let p = -71 - -90. What are the prime factors of p? 19 Let p(x) = 629*x**3 - x**2. What are the prime factors of p(1)? 2, 157 Let k be 2/(-4) - (-199)/2. Let p = 47 + -44. Suppose -p*f = 33 - k. List the prime factors of f. 2, 11 Let v be (-2 - 0)*(-15)/10. Suppose 3*d = -9, v*y - d = 7 + 2. Suppose -y*a = -13
{ "pile_set_name": "DM Mathematics" }
ive. q**(-1061/209) Simplify ((v**0/v**(-1/2))**(-22))**(-45) assuming v is positive. v**495 Simplify ((a**2/(a/(a/a**3)))/((a*a**(-3)/a*a*a)/a*a*(a/a**(-2/11))/a))**(-2/97) assuming a is positive. a**(4/1067) Simplify (n/n**2*n)**(-1/2)/((n**1*n)/(n*n**(4/15))) assuming n is positive. n**(-11/15) Simplify (m/m**(-3/13)*m**(-6)*m)/(m/m**(-8)*m/(m/(((m*m**3)/m)/m*m))*m) assuming m is positive. m**(-218/13) Simplify (r*r**(-3)*r**(-3/2)/r)/(r*r**(3/11)/r*r)**(-22/3) assuming r is positive. r**(29/6) Simplify (p/(p**1/p))**15*p*p**9*p*p*p*p**1/p assuming p is positive. p**28 Simplify ((c**2*c*c**(-2/15))**17)**48 assuming c is positive. c**(11696/5) Simplify (o*o**1/o)/(o**(-10/11)/o)*(o**(-5/6)*o)/(o**27/o) assuming o is positive. o**(-1513/66) Simplify ((((y**3*y)/y)**(-38))**(-16/3))**(-1/11) assuming y is positive. y**(-608/11) Simplify (p**(1/4)*p)**1/(((p*p**(-5/3))/p*p)/p*p*p**(-16/7)*p) assuming p is positive. p**(269/84) Simplify (((d*d*d**4)/(d*d/(d/((d*d**(2/3)*d)/d))))**(-43))**(-24) assuming d is positive. d**3440 Simplify ((r/r**10)/r**(-6/5))/(r*(r*r*r**(4/9))/r*r**(1/7)*r) assuming r is positive. r**(-3587/315) Simplify v/v**(-1/17)*v*(v**5/v)/v*v*v/v**(-1/3)*v/(v**(1/8)*v) assuming v is positive. v**(2965/408) Simplify (((a/a**(-23))/a)/(a*a**(-1/39)*a))/(a*a/a**(-1))**16 assuming a is positive. a**(-1052/39) Simplify ((o**2)**(-9)*(o**1*o)/(o/o**(-8)))**(2/37) assuming o is positive. o**(-50/37) Simplify ((b/b**(1/2))**49*(b**(-2/7))**(3/5))**(-1/9) assuming b is positive. b**(-1703/630) Simplify k/(k/(k/k**(8/11)))*k**19*k**(18/5)*k**(-22) assuming k is positive. k**(48/55) Simplify (y**(-10)*y*y)**(-2/5)*y**(-6)/(y/(y/(y/(y**(3/16)/y)))) assuming y is positive. y**(-369/80) Simplify ((y/(y**30*y)*y)/y**12)/(y/y**(-15))**(5/8) assuming y is positive. y**(-51) Simplify (l/(l/l**5))**(-1/5)*(l/(((l/(l**17/l))/l)/l))/((l/(l*l/(l*l**21/l))*l)/l) assuming l is positive. l**(-3) Simplify o**13*o**3*(o**(2/7))**(-20) assuming o is positive. o**(72/7) Simplify (k/(k*k**(-12)))**(-6/11)/(k**(17/2)*k/(((k/(k/(k/(k**(1/33)/k)*k)))/k)/k)) assuming k is positive. k**(-995/66) Simplify ((((i*i/(i/(i*i**(-6))))/i)/i)/i**9)/(i**(1/4)/i*i**(-1)) assuming i is positive. i**(-53/4) Simplify (((w**(-2))**(35/6))**45)**(-2) assuming w is positive. w**1050 Simplify m*m**(-9)*m*m/(m*m**(-1/16))*(m*m**4)**42 assuming m is positive. m**(3249/16) Simplify (((s**(-3)/s)/(s/s**(-11/4)))**(-3/17))**(1/41) assuming s is positive. s**(93/2788) Simplify (z*z**(-6))/z**(2/7)*(z*z**3)**(-10) assuming z is positive. z**(-317/7) Simplify (i**(2/5))**(-14/3)/(i**(2/23)*i)**(-19/6) assuming i is positive. i**(1087/690) Simplify (c*c*(c**2*c)/c*c*c*c)/c**(-2)*c**(-2/9)*c/(c/c**(1/2)) assuming c is positive. c**(167/18) Simplify ((z*z*z**(-25)/z*z*z)**(5/9))**(11/6) assuming z is positive. z**(-605/27) Simplify (n**(1/4)/n)**(1/4)*n**(-1/11)*n/(n/n**6*n) assuming n is positive. n**(831/176) Simplify (j**(1/8))**24*j**(-6/5)/(j**(1/10)/j) assuming j is positive. j**(27/10) Simplify (x**0)**16*(x*(x/x**(1/4)*x)/x)/(x*x**(5/2)) assuming x is positive. x**(-7/4) Simplify (d**(3/7)/d)/(d**(5/4)/d)*d/(d*d**(1/3))*d*d/(d/d**(2/5)) assuming d is positive. d**(103/420) Simplify ((d*d*d*d**26/d*d*d**22/d*d)**(-7))**15 assuming d is positive. d**(-5355) Simplify (t**(-1)/t)**(4/27)*t*t**(3/10)*t/(t*t*t/t**6*t*t*t)*t assuming t is positive. t**(811/270) Simplify (u**(-3/4)*u*(u**(-2/3)*u)/u*(u/u**(2/13))/(u/u**(3/5)))**(-1/22) assuming u is positive. u**(-23/17160) Simplify (g**(-4))**(-1)/(g**(-15)*g**5) assuming g is positive. g**14 Simplify (h**(-25))**(1/7)/(h*h**(-10))**(-17) assuming h is positive. h**(-1096/7) Simplify ((j**(-1))**(-23))**2 assuming j is positive. j**46 Simplify (t**4/(t**(-1/19)/t))/((t/(t*t*t**(-2/9)*t))/t**(-23)) assuming t is positive. t**(-2765/171) Simplify f*f*f**12/f*f*f*f**(-1)*f*f**(-2/9)*f**6 assuming f is positive. f**(187/9) Simplify (((x**4/x)**(-31))**(-2))**45 assuming x is positive. x**8370 Simplify (l**(-1/4))**(33/5)*l**11/l*l**18 assuming l is positive. l**(527/20) Simplify (y*y*y*y**(-6))**(-1/6)/((y/y**(-4/3)*y*y*y)/y**(-6)) assuming y is positive. y**(-65/6) Simplify ((((z**(-8/5)/z*z)/z)/z)/z*z*z*z**(-12)*z)/(z*z/(z*z*z**(2/13)))**49 assuming z is positive. z**(-394/65) Simplify ((j*j**(-2/9))/j)**(13/6)/(j/j**5)**48 assuming j is positive. j**(5171/27) Simplify ((((a*a**(-2/5))/a)/(a*a**9))/((a*a**(2/17)/a)/((a*a*a**8)/a)))**(18/7) assuming a is positive. a**(-2322/595) Simplify ((a/(a*a**9))/(a/(a/a**4)))/(a**(-1/4)*a/(a/(a/(a**(-4)*a))*a)*a) assuming a is positive. a**(-67/4) Simplify (z**6)**(-49)/(z*z**(-4/5)*z)**(1/2) assuming z is positive. z**(-1473/5) Simplify (i*i**(-19)*i**(-38)*i)/(i**5)**17 assuming i is positive. i**(-140) Simplify (d**(-28)/d*d*d**(-22))**(-27/2) assuming d is positive. d**675 Simplify (h**(-19)*(h**30/h)/h)**(42/5) assuming h is positive. h**(378/5) Simplify (k**(2/95)/(k**34*k))**(-4/25) assuming k is positive. k**(13292/2375) Simplify a/a**(-7)*a**15*a**(-8/3)*a*a**(-1)*a assuming a is positive. a**(64/3) Simplify ((o*(o/o**(-8/3))/o)/(o/(o/(o/(o/o**(2/31))*o))))/((o/((((o*(o*o/(o**(-9/4)*o))/o)/o*o)/o*o)/o))/(o/o**(3/4)*o)) assuming o is positive. o**(949/186) Simplify (w**(-10)*w/w**(1/6))/((w*w**(-10/3))/(w/(w**(-8)*w))) assuming w is positive. w**(7/6) Simplify (v**0*v**(1/9)*v)/(v**(-7)*(v*v/v**(-2/45))/v) assuming v is positive. v**(106/15) Simplify (((w**(-1/5))**8)**(14/3))**(-1/33) assuming w is positive. w**(112/495) Simplify ((c/(c/c**6*c))/((((c**(2/7)*c*c)/c)/c)/c*c))/(c/(c**(-2)*c*c)*c/(c*c*((c/(c**(-10/7)/c))/c)/c*c*c)) assuming c is positive. c**(57/7) Simplify h**(-3/17)/h*h*h**(2/11)*(h**(-1/7))**(4/13) assuming h is positive. h**(-657/17017) Simplify (h*(h*(h/(h/(h/((h/(h/(h*h/((((h*h**13/h)/h)/h)/h))))/h))*h))/h*h)/h)**7*(h**1/h)**(-27) assuming h is positive. h**70 Simplify ((o/(o*o/o**(-9/4)))/((o**(1/16)/o)/o)*(o**8*o*o*o)/(o/((o*o/(o/(o/o**(1/3))))/o)))**(2/123) assuming o is positive. o**(449/2952) Simplify ((l/l**(-14)*l*l)/(l*l/l**(-14/11)*l*l*l))/(l**16)**(-12) assuming l is positive. l**(2230/11) Simplify (t/t**(-3/7))**(12/7)*(t**(-4))**(-22) assuming t is positive. t**(4432/49) Simplify ((f**1)**47/(f**(6/5)*f**(1/8)))**(2/157) assuming f is positive. f**(1827/3140) Simplify w**(1/4)*w/(w*w/(w*w*w**(10/3)/w)*w)*w**(3/7)/w**(-1/13) assuming w is positive. w**(3373/1092) Simplify ((r**12)**(-41))**42 assuming r is positive. r**(-20664) Simplify (v*v/v**(-28))**(-1/84)/(v**3)**16 assuming v is positive. v**(-677/14) Simplify (j/j**(2/13)*j)/j**(-15)*j/(j*j*j/((j/(j**(12/5)/j)*j)/j))*j*j/(j**(-1/8)*j)*j assuming j is positive. j**(8617/520) Simplify c**(-10/7)/(c/(c*c**(-4/5)*c))*((c**3/c)/c*c)**(2/71) assuming c is positive. c**(-2913/2485) Simplify (x*(x*x*(x*x**3)/x)/x*x)**26*(((x*x*x/(x*x**(-10)*x))/x)/x)/x*x/((x/(x**(-12)*x))/x)*x*x assuming x is positive. x**156 Simplify (((w**(-1/2)/w)/(w/w**0*w))**31)**(-1/55) assuming w is positive. w**(217/110) Simplify (n/n**5)**(4/27)*n**(-3)*n**23 assuming n is positive. n**(524/27) Simplify (l*l**20*l)/(l*l**17)*(l**(1/19))**(-3/19) assuming l is positive. l**(1441/361) Simplify ((k*k/(k/(k*k**(1/6)/k)))/k*(k*k**(-2/15))/k)/((k*(k/(k**(1/3)/k))/k)/(k/(k**26*k))) assuming k is positive. k**(-829/30) Simplify (w**5*w*w**7)/((w/(w/w**(-17)))/(w*(w*w**1)/w)) assuming w is positive. w**32 Simplify (z/z**(-3))**(-38)/(z**(-3)*z*z)**(-15) assuming z is positive. z**(-167) Simplify (s**(-3/16)/s**6)**(-5) assuming s is positive. s**(495/16) Simplify ((i**(-2/7)/(i*i/i**(-4)))**47)**(11/7) assuming i is positive. i**(-22748/49) Simplify (z**(-1/4)*z)**(-8/5)*(z/z**(-19))/(((z**19*z)/z)/z) assuming z is positive. z**(4/5) Simplify (o*o*o**(-22)*o*o*o*(o*o*(o*o**(-1/44)*o)/o*o)/o*o*o)**(-27) assuming o is positive. o**(14283/44) Simplify (z**(2/7)*((z**5*z)/z)/z)**(-5) assuming z is positive. z**(-150/7) Simplify c**(-13)*c**4*(c*c**(1/2))**(-44) assuming c is positive. c**(-75) Simplify (y*y*(y/y**0)/y*y)/y*y/y**(-5)*y*y/y**(4/9)*y**(7/3) assuming y is positive. y**(107/9) Simplify ((v**(1/30)/v)/v**(2/17))/((v*v**(4/11)*v)/((v*v/(v/(v/((((v*v**(11/2))/v)/v)/v))*v))/v)) assuming v is positive. v**(-19489/2805) Simplify (k**(-2/3
{ "pile_set_name": "DM Mathematics" }
3, 53 What are the prime factors of 3583? 3583 What are the prime factors of 10019? 43, 233 List the prime factors of 40985. 5, 7, 1171 What are the prime factors of 7387? 83, 89 What are the prime factors of 34502? 2, 13, 1327 What are the prime factors of 29697? 3, 19, 521 What are the prime factors of 150? 2, 3, 5 What are the prime factors of 3635? 5, 727 What are the prime factors of 108814? 2, 41, 1327 List the prime factors of 1381. 1381 What are the prime factors of 9331? 7, 31, 43 What are the prime factors of 1538? 2, 769 What are the prime factors of 14907? 3, 4969 List the prime factors of 3490. 2, 5, 349 What are the prime factors of 5791? 5791 What are the prime factors of 6781? 6781 List the prime factors of 423. 3, 47 What are the prime factors of 5658? 2, 3, 23, 41 List the prime factors of 5006. 2, 2503 What are the prime factors of 788? 2, 197 What are the prime factors of 308? 2, 7, 11 What are the prime factors of 314? 2, 157 List the prime factors of 3708. 2, 3, 103 What are the prime factors of 27? 3 List the prime factors of 2593. 2593 What are the prime factors of 56851? 139, 409 What are the prime factors of 2005? 5, 401 What are the prime factors of 2754? 2, 3, 17 What are the prime factors of 3411? 3, 379 What are the prime factors of 18937? 29, 653 List the prime factors of 4655. 5, 7, 19 What are the prime factors of 5591? 5591 What are the prime factors of 36356? 2, 61, 149 List the prime factors of 41315. 5, 8263 List the prime factors of 30310. 2, 5, 7, 433 List the prime factors of 17521. 7, 2503 What are the prime factors of 25590? 2, 3, 5, 853 What are the prime factors of 2438? 2, 23, 53 What are the prime factors of 6576? 2, 3, 137 What are the prime factors of 3956? 2, 23, 43 List the prime factors of 18645. 3, 5, 11, 113 What are the prime factors of 9708? 2, 3, 809 What are the prime factors of 3665? 5, 733 List the prime factors of 85198. 2, 41, 1039 List the prime factors of 7936. 2, 31 List the prime factors of 34998. 2, 3, 19, 307 List the prime factors of 21769. 11, 1979 What are the prime factors of 184620? 2, 3, 5, 17, 181 List the prime factors of 15101. 15101 What are the prime factors of 1052? 2, 263 List the prime factors of 391. 17, 23 List the prime factors of 958. 2, 479 What are the prime factors of 88461? 3, 9829 What are the prime factors of 604? 2, 151 What are the prime factors of 12685? 5, 43, 59 What are the prime factors of 2772? 2, 3, 7, 11 What are the prime factors of 3064? 2, 383 What are the prime factors of 43760? 2, 5, 547 What are the prime factors of 12101? 12101 List the prime factors of 37. 37 List the prime factors of 3811. 37, 103 What are the prime factors of 26456? 2, 3307 What are the prime factors of 125076? 2, 3, 7, 1489 List the prime factors of 3531. 3, 11, 107 List the prime factors of 10660. 2, 5, 13, 41 What are the prime factors of 1480? 2, 5, 37 List the prime factors of 5189. 5189 List the prime factors of 24474. 2, 3, 4079 What are the prime factors of 19121? 19121 What are the prime factors of 28004? 2, 7001 What are the prime factors of 997? 997 List the prime factors of 5838. 2, 3, 7, 139 List the prime factors of 4546. 2, 2273 List the prime factors of 2828. 2, 7, 101 List the prime factors of 1204. 2, 7, 43 What are the prime factors of 5425? 5, 7, 31 List the prime factors of 1835. 5, 367 List the prime factors of 9758. 2, 7, 17, 41 List the prime factors of 35940. 2, 3, 5, 599 What are the prime factors of 82489? 11, 7499 What are the prime factors of 1482? 2, 3, 13, 19 What are the prime factors of 127251? 3, 1571 List the prime factors of 1905. 3, 5, 127 What are the prime factors of 3751? 11, 31 What are the prime factors of 36573? 3, 73, 167 What are the prime factors of 31805? 5, 6361 List the prime factors of 54835. 5, 11, 997 What are the prime factors of 1757? 7, 251 List the prime factors of 3761. 3761 List the prime factors of 694. 2, 347 What are the prime factors of 371? 7, 53 What are the prime factors of 1052? 2, 263 List the prime factors of 50056. 2, 6257 What are the prime factors of 3524? 2, 881 What are the prime factors of 1533? 3, 7, 73 What are the prime factors of 21542? 2, 10771 List the prime factors of 488. 2, 61 List the prime factors of 707. 7, 101 What are the prime factors of 7867? 7867 What are the prime factors of 6539? 13, 503 List the prime factors of 3377. 11, 307 What are the prime factors of 2019? 3, 673 What are the prime factors of 50977? 19, 2683 List the prime factors of 2232. 2, 3, 31 List the prime factors of 59322. 2, 3, 9887 List the prime factors of 28317. 3, 9439 List the prime factors of 8257. 23, 359 List the prime factors of 10336. 2, 17, 19 List the prime factors of 13172. 2, 37, 89 What are the prime factors of 417? 3, 139 List the prime factors of 2320. 2, 5, 29 What are the prime factors of 3175? 5, 127 List the prime factors of 4015. 5, 11, 73 What are the prime factors of 16548? 2, 3, 7, 197 List the prime factors of 489. 3, 163 What are the prime factors of 2887? 2887 List the prime factors of 22182. 2, 3, 3697 List the prime factors of 78068. 2, 29, 673 List the prime factors of 35. 5, 7 What are the prime factors of 887? 887 What are the prime factors of 93866? 2, 46933 List the prime factors of 9915. 3, 5, 661 What are the prime factors of 8405? 5, 41 List the prime factors of 6436. 2, 1609 List the prime factors of 45323. 61, 743 What are the prime factors of 4415? 5, 883 List the prime factors of 645. 3, 5, 43 What are the prime factors of 25859? 19, 1361 List the prime factors of 3183. 3, 1061 List the prime factors of 11642. 2, 5821 What are the prime factors of 14488? 2, 1811 What are the prime factors of 15813? 3, 7, 251 List the prime factors of 102915. 3, 5, 2287 List the prime factors of 1268. 2, 317 List the prime factors of 938. 2, 7, 67 List the prime factors of 10678. 2, 19, 281 List the prime factors of 15386. 2, 7, 157 List the prime factors of 2287. 2287 List the prime factors of 4417. 7, 631 List the prime factors of 1561. 7, 223 What are the prime factors of 11188? 2, 2797 What are the prime factors of 63462? 2, 3, 7, 1511 What are the prime factors of 2844? 2, 3, 79 List the prime factors of 32856. 2, 3, 37 List the prime factors of 5068. 2, 7, 181 List the prime factors of 3342. 2, 3, 557 What are the prime factors of 22626? 2, 3, 419 List the prime factors of 86754. 2, 3, 19, 761 What are the prime factors of 35622? 2, 3, 1979 List the prime factors of 5544. 2, 3, 7, 11 What are the prime factors of 27222? 2, 3, 13, 349 List the prime factors of 197837. 197837 List the prime factors of 24645. 3, 5, 31, 53 List the prime factors of 3892. 2, 7, 139 List the prime factors of 13871. 11, 13, 97 What are the prime factors of 6230? 2, 5, 7, 89 List the prime factors of 362. 2, 181 List the prime factors of 22463. 7, 3209 List the prime factors of 781. 11, 71 What are the prime factors of 8079? 3, 2693 What are the prime factors of 36085? 5, 7, 1031 What are the prime factors of 42861? 3, 7, 13, 157 List the prime factors of 51249. 3, 11, 1553 What are the prime factors of 26? 2, 13 What are the prime factors of 15996? 2, 3, 31, 43 What are the prime factors of 14087? 14087 What are the prime factors of 12430? 2, 5, 11, 113 What are the prime factors of 7797? 3, 23, 113 List the prime factors of 28281. 3, 11, 857 What are the prime factors of 891? 3, 11 What are the prime factors of 40645? 5, 11, 739 What are the prime factors of 83733? 3, 13, 19, 113 What are the prime factors of 2516? 2, 17, 37 List the prime factors of 45314. 2, 139, 163 List the prime factors of 3946. 2, 1973 List the prime factors of 33220. 2, 5, 11, 151 List the prime factors of 3062. 2, 1531 List the prime factors of 1754. 2, 877 List the prime factors of 9617. 59, 163 What are the prime factors of 5986? 2, 41, 73 List the prime factors of 13914. 2, 3, 773 What are the prime factors of 4365? 3, 5, 97 List the prime factors of 66670. 2, 5, 59, 113 List the prime factors of 5878. 2, 2939 What are the prime factors of 1489? 1489 What are the prime factors of 2988? 2, 3, 83 List the prime factors of 12842. 2, 6421 What are the prime factors of 569? 569 What are the prime factors of 9246? 2, 3, 23, 67 W
{ "pile_set_name": "DM Mathematics" }
37 = u, -u + h = -33 - 12. What are the prime factors of u? 43 Suppose -3*d + 24 + 3 = 0. Let j = -8 + d. What are the prime factors of (-5)/(-10)*16*j? 2 Let p = 22 - 3. Suppose -49 = 4*h + p. Let b = h - -24. List the prime factors of b. 7 Suppose 4*a - 8*a + 5*c = -643, a + 4*c = 187. What are the prime factors of a? 167 Let h be (-2)/(-10) + (-19)/(-5). Suppose 6*t - 4 = h*t. Suppose 0 = -o + t. What are the prime factors of o? 2 Let v be 326/22 + (-2)/(-11). Let s be 20/v + 2/3. List the prime factors of 0 + (2 - s) + 6. 2, 3 Suppose 4*q - 90 = 46. List the prime factors of q. 2, 17 Suppose 4*q - 200 = 2*v, 3*v = -3*q + 6*v + 150. List the prime factors of q. 2, 5 Suppose -4*z + 1232 = -3*u, 5*z + u = -3*u + 1509. What are the prime factors of z? 5, 61 Let v(k) = 33*k - 50. What are the prime factors of v(10)? 2, 5, 7 Let b(s) = -s**3 - 9*s**2 + 9*s + 7. List the prime factors of b(-11). 2, 3, 5 Suppose -96 = z + 3*z. List the prime factors of (-1 + 6)/((-8)/z). 3, 5 List the prime factors of (-1)/(-4) + 5031/36. 2, 5, 7 Suppose -11*f - 3 = -10*f. Let p(r) = -r**2 - 4*r. List the prime factors of p(f). 3 Let k be (9 + -2)/(2/6). List the prime factors of 6/k - (-33)/7. 5 List the prime factors of (8/14)/4 + 17464/56. 2, 3, 13 What are the prime factors of -2 + (-72)/(-5) + 4/(-10)? 2, 3 Let y(z) = -9*z + 3. What are the prime factors of y(-2)? 3, 7 Let o(q) be the first derivative of -4*q**2 - 4. What are the prime factors of o(-2)? 2 Suppose -4*m - m + 5*u + 885 = 0, 5*u - 663 = -4*m. What are the prime factors of m? 2, 43 Suppose 14*x = 11*x + 318. What are the prime factors of x? 2, 53 Let k(m) = m**3 + 11*m**2 + 9*m - 1. Let i be k(-10). Let j = i + 1. List the prime factors of (-8)/20 - (-94)/j. 3 Let s be (0 + 0)/(-1 - -2). Suppose 0*n - 5*n + 15 = s. Suppose 0 = n*k - 0*k - 9. What are the prime factors of k? 3 Suppose 4 = -f - f. List the prime factors of (4 - 0/f)/2. 2 Let x = 9 + -5. Suppose x*p + r = -80 - 10, -5*p - 108 = -r. Let w = -9 - p. List the prime factors of w. 13 Suppose 2*d + 16 = 6*d. Suppose 0 = d*g - 7*g + 93. What are the prime factors of g? 31 Let t(r) = r**3 + 8*r**2 + 3*r - 4. What are the prime factors of t(-4)? 2, 3 Suppose 40 = 2*k - 0. What are the prime factors of k? 2, 5 Let z = 671 + -373. List the prime factors of z. 2, 149 Let i(q) = -2*q**3 - 5*q**2 - q - 10. What are the prime factors of i(-6)? 2, 31 Let i(y) = -3*y - 5. Let b(x) = -15*x - 24. Let r(n) = -5*b(n) + 24*i(n). What are the prime factors of r(3)? 3 What are the prime factors of (10/(-15))/((-2)/117)? 3, 13 Let b = 12 + -19. Let t be 2 + 0/3 + b. What are the prime factors of (-96)/(-15) + 2/t? 2, 3 Suppose 6*p - 5*p - 4 = 0. Suppose 5*t + 17 = p*r, -r + 3*t + 2 = -4. Suppose 6*a - 4*a + 4*w - 20 = 0, 0 = -3*a + r*w + 21. What are the prime factors of a? 2 Let g(f) = 6*f**2 - 3*f + 2. What are the prime factors of g(2)? 2, 5 Let f = 1 + -1. Suppose 0 = 4*x - f*x + 5*b - 62, 4*b + 26 = x. List the prime factors of x. 2, 3 Let p = 0 + -1. Let k = 2 + p. Let r = 5 + k. List the prime factors of r. 2, 3 Let k be (0 + 1)/(1/4). Suppose 3*g - 2*q - 4 = 0, k*g + 0*g + 5*q = 13. Suppose 0*n - 2*a = g*n - 36, -4*a = 5*n - 95. List the prime factors of n. 23 List the prime factors of (-8)/24 - 70/(-3). 23 Suppose -29 = 4*h + 5*l - 7, -4*l = -4*h - 4. Let x be 4/(-10) + 124/10. Let j = h + x. What are the prime factors of j? 3 Let u(d) = -2*d**3 + 2*d**2 + 3*d + 2. Let t be u(-2). Suppose 0 = 4*x + t, 5*k = 2*x - 6*x - 30. List the prime factors of k/5 - (-107)/5. 3, 7 Suppose 12 = -f - 4. What are the prime factors of f/(-5)*(7 + -2)? 2 Let v(w) = -2*w + 0 + 3 - 5 + 1. Let b be v(-3). Suppose b*d - 2 = 53. List the prime factors of d. 11 Suppose -2*y + 3 = -9. Let o(z) = -z + 1. Let s(w) = -3*w + 5. Let h(c) = 6*o(c) - 3*s(c). List the prime factors of h(y). 3 Let j be (9/6)/(6/8). Suppose j*r - 43 = 3. What are the prime factors of r? 23 Let c = -40 + 25. Let v = -8 - c. List the prime factors of v. 7 Let i(j) = 3*j - 3. Let x(n) = n**2 - 7*n + 4. Let l be x(3). Let t be (-18)/l + 2/(-8). List the prime factors of i(t). 3 Let w be (4/(-12))/((-2)/(-18)). Let z be -1 + 1/(-1) + w. List the prime factors of 1*(0/(-3) - z). 5 Suppose -381 = -7*r + 172. What are the prime factors of r? 79 Let t(p) = 7*p - 8. List the prime factors of t(9). 5, 11 Let w(i) = i**3 - 3*i**2 - 4*i - 2. Let l be w(4). Let r be -2*((-10)/(-4) + 0). Let z = l - r. List the prime factors of z. 3 Suppose 5*s + 5*x + 196 - 16 = 0, -39 = s - 2*x. Let r = 9 - s. Let k = -32 + r. List the prime factors of k. 2, 7 What are the prime factors of (-22)/(-121) + 4218/33? 2 Let t(x) be the third derivative of x**6/120 - 11*x**5/60 - x**4/2 - 4*x**3/3 - x**2. Let q be t(12). What are the prime factors of ((-42)/(-8))/(-3)*q? 2, 7 Let f = -2 + 5. Let u(s) = -1 - 2 + 2 + 3*s. What are the prime factors of u(f)? 2 Let f(n) = -5*n - 18. Let z(u) = -u - 8*u - 2*u - 37. Let s(i) = -13*f(i) + 6*z(i). List the prime factors of s(7). 5 Let a be ((-6)/(-4))/((-15)/20). Let t = a + 5. Suppose 5*p + c = -0*c + 51, t = 3*c. What are the prime factors of p? 2, 5 Suppose -4*n - 46 = -6*n. List the prime factors of n. 23 Suppose -i = 4*n - 2*i - 758, -3*n - 5*i + 557 = 0. Suppose 0 = -4*a - v + 111, n = 5*a - v + 48. Suppose -a = c - 5*c. List the prime factors of c. 7 Suppose -2*n = -8 - 78. What are the prime factors of n? 43 Let q = -5 + 9. List the prime factors of -1 + q + (-2)/(-2). 2 Let o(j) be the first derivative of 6*j**4 - j**3/3 - j**2/2 + 4. Let u be o(-1). Let y = u + 43. List the prime factors of y. 19 Suppose 2*y + 0*y = 120. Suppose 2*g = 5*g - y. What are the prime factors of g? 2, 5 Suppose -q + 3*f + 6 = 4*f, 0 = 5*f - 20. Suppose -2*k + 3*x + 1 = -0, 3*k + q*x = 21. List the prime factors of k. 5 Let m = 104 - 48. List the prime factors of m. 2, 7 Let j(w) = -w + 2 - 6 + 2 + 0*w**2 + 4*w**2. List the prime factors of j(2). 2, 3 Suppose -152 = -5*l + 33. List the prime factors of l. 37 List the prime factors of 3/(15/265 + 0). 53 Let k(f) = -11*f - 37. List the prime factors of k(-16). 139 Let i(n) = -4*n - 4 + 4*n - 4*n. List the prime factors of i(-4). 2, 3 Let k(a) = -a**3 - 2*a**2 + 3*a - 2. Let p be k(2). List the prime factors of (2 + p/16)*4. 5 Let b be -4*(51/(-12) - 0). Let h = b - 12. List the prime factors of h. 5 Let w(c) be the third derivative of 0*c + c**2 - 3/2*c**3 + 1/8*c**4 + 0. List the prime factors of w(6). 3 Suppose -2*o + 3*a = -111, 0 = 2*a + 3*a - 5. What are the prime factors of o? 3, 19 Suppose 204 = 29*k - 25*k. List the prime factors of k. 3, 17 Let p(m) = -m + 8. Let c be p(11). List the prime factors of (200/(-6))/(2/c). 2, 5 Let s(q) = -q**3 + 11*q**2 + 8*q + 12. List the prime factors of s(11). 2, 5 Suppose 0 = 4*r + 2*u - 51 - 1061, -r + 4*u + 278 = 0. What are the prime factors of r? 2, 139 List the prime factors of 70/(-3)*(-198)/55. 2, 3, 7 Let j(i) = i**3 + 5*i**2 - 6*i + 7. Let k be j(-6). Let a = k + 1. List the prime factors of a. 2 Let v = -17 - -71. What are the prime factors of v? 2, 3 Let k = -8 + 6. Let s be (-122 + -1)*k/6. Let d = s - 29. What are the prime factors of d? 2, 3 Let y(l) = l**2 - 7*l - 12. List the prime factors of y(9). 2, 3 Let i be (-7 - 2/(-1)) + -2. Let x = i + 9. Suppose 2*j + 5*m = 38, j + 76 = 5*j + x*m. What are the prime factors of j? 19 Let u(i) = i**2 - 9*i + 11. Suppose 3*b = 4*b - 4. Let c(x) = -3*x**2 + 27*x - 32. Let y(s) = b*c(s) + 11*u(s). What are the prime factors of y(6)? 11 Let s(n) = n**2 + 5*n + 2. What are the prime factors of s(-6)? 2 Suppose 4*q + 3*p - 136 = -q, -4*q - 3*p = -107. List the prime factors of q. 29 Suppose 0 = -3*j + 4*h + 4, -2 = 5*j + 3*h + 1. Suppose j = 5*q - 10. List the prime factors of (q - 0) + (-4)/(-2). 2 Suppose -3*n + 13 = -4*d, 3*d = -2 - 1. Let v(k) = 7*k - 3. List the prime factors of v(n). 2, 3 Let z = -54 - -82. List the prime factors of z. 2, 7 What are the prime factors of ((-236)/10)/((-30)/150)? 2, 59 Let a(p) = -24*p + 6 - 6. What are the prime factors of a(-1)? 2, 3 What are the prime factors of 11/(55/(-14))*-25? 2, 5, 7 Let o be (-3)/((-4)/(20/3)). Suppose v - 20 = 2*y, 0*v - 37 = o*y + 4*v. Let f(g) = g**2 + 8*g - 1. What are the prime factors of f(
{ "pile_set_name": "DM Mathematics" }
+ 126.088. Let q = x - 0.1078. Round q to 3 decimal places. -0.02 Let r(i) = -263*i**3 + i**2 + 3*i + 10. Let k be r(-7). Let w be -6 + 3 + k + -1. Let b = 949757 + w. What is b rounded to the nearest 100000? 1000000 Let k = -97 + 85. Let m(c) = -c**2 + 4*c - 3. Let y be m(5). Let r be 1118/y + 3/k. Round r to the nearest 100. -100 Let h = 35.6 + 705.4. Let q = h + -740.999153. Round q to 4 dps. 0.0008 Let y = -35973.0135 - -36036. Let i = 0.357 + 62.643. Let z = y - i. What is z rounded to three dps? -0.014 Suppose 0 = -4*u + 12 - 0. Suppose -6*t + u*t = -6060. Suppose g = 3*g + t. What is g rounded to the nearest one hundred? -1000 Suppose -2*d - 40830 = -4*t, 0 = -9*d + 6*d + 15. Round t to the nearest 1000. 10000 Let v = 36034 - 36040.0062. Let a = v - -6. What is a rounded to 3 dps? -0.006 Let v = -53 - -50.6. Let q = -85 + 81.3. Let n = q - v. Round n to the nearest integer. -1 Let s(j) = -3002870*j - 90. Let t be s(-7). Round t to the nearest one million. 21000000 Let w = 0.0568 - 12.1288. Let q = -12 - w. What is q rounded to 2 dps? 0.07 Let j = -5 + -14. Let k = -10 - j. Let h(t) = 666667*t - 3. Let o be h(k). Round o to the nearest 1000000. 6000000 Let u(m) = m**2 - 6*m - 8. Let q be u(7). Let a be q/(-3)*54/2. Let o = a - 50. Round o to the nearest ten. -40 Suppose 2*c + 4*r = -64, 4*r - 32 = 3*c + 54. Let q be (-930018)/c - (-3)/(-5). Round q to the nearest ten thousand. 30000 Let x(t) = -3*t**2 + t. Let z be x(1). Let j be (7/21)/(z/30). Round j to the nearest ten. -10 Let f be (-8 - -3) + -8273 + -2. What is f rounded to the nearest one thousand? -8000 Suppose -14651 = -6*y - y. Suppose -2*l - y = 3*l + w, 2*l = w - 840. Round l to the nearest 10. -420 Suppose 0 = -6*s - 2840 + 67340. What is s rounded to the nearest one hundred? 10800 Let v be (-14137 - -1)*(-20)/15. Suppose -3*t - 29452 = v. Round t to the nearest one thousand. -16000 Suppose 0 = 647*p - 644*p + 5622000. What is p rounded to the nearest ten thousand? -1870000 Let t = -1356463 + 1431640.68. Let m = t - 75177.64000003. Let v = m + -0.04. What is v rounded to seven decimal places? 0 Suppose -2*o + 2*w + 2696010 = 0, 6*o - 7*o + 2*w = -1348010. Round o to the nearest 100000. 1300000 Let w = -81.0361 - -81. Let d = -67 + 66.971. Let g = d - w. Round g to 3 dps. 0.007 Let h = 0.042 + -0.042. Let c = h + -0.65. Round c to 1 dp. -0.7 Let p = 126.3151 - 127.51. Let q = 3 + -4.22. Let w = p - q. What is w rounded to three dps? 0.025 Let v = -1128475.622 - -1207117. Let l = v + -78555. Let i = 86 - l. Round i to two decimal places. -0.38 Let h = -8655227759 - -8654443584.000064. Let u = h + 784200. Let y = u - 25. What is y rounded to five decimal places? 0.00006 Let w = 47.06 - 1.06. Let d = -38.447699 - -84.44778. Let t = d - w. Round t to 5 dps. 0.00008 Let d = -85.7644152 + 4.7645642. Let k = d - -81. Round k to 5 dps. 0.00015 Let s = -1362.1797 + 1362. What is s rounded to one decimal place? -0.2 Suppose -2*n = 2*q + 266, -2*q - q = -3*n - 411. Let s = n + -148. What is s rounded to the nearest ten? -280 Let p(u) = 2*u - 24. Let k be p(15). Suppose 3*x - 2220000 = k*x. What is x rounded to the nearest one hundred thousand? -700000 Let x = -15 - -15.02. Let r = -4.02 + x. Let j = 0.1 + r. What is j rounded to zero decimal places? -4 Let m = -269 + 269.0093. What is m rounded to 2 dps? 0.01 Suppose -20 = -3*k + k. Let d be ((-20)/25)/((-4)/k). Suppose 5*s + 4*q = 109992, d*s - 49309 = 4*q - 5301. Round s to the nearest 10000. 20000 Let n = 1.287 + 0.053. Let s = n - 1.3399666. Round s to five decimal places. 0.00003 Let g = 50 - 60. Let u(c) = -10 - 856*c - 1272*c + 365*c + 372*c. Let s be u(g). What is s rounded to the nearest one thousand? 14000 Let f = 0.0212 - 0.02112506. Round f to 5 dps. 0.00007 Let w = 36014 + -24579. Let q = w + 4720. Let g = 23845 + q. Round g to the nearest 100000. 0 Let q(c) = 15235*c**3 - 6*c**2 + 7*c + 8. Let w be q(8). Suppose -4*g = -g + w. Round g to the nearest 1000000. -3000000 Let j be -4 + (-4 - 4)/(-4) + -62098. Round j to the nearest 10000. -60000 Let f = 22.91937 + -22.91. Round f to 3 decimal places. 0.009 Let t = 1574 + -1624.5. What is t rounded to 0 decimal places? -51 Let u = 1 + -1.018. Let h = u + 0.089. What is h rounded to two decimal places? 0.07 Let a = 6597.75 + -6541.8787. Let n = a + -55.9. What is n rounded to 3 decimal places? -0.029 Let g be (-12)/15*(-15)/2. Let c be 15600002/4 + (-3)/g. Suppose -6*r + r + c = 0. What is r rounded to the nearest 100000? 800000 Let w(n) = 4*n**2 - 2*n + 5. Let j be w(-7). Let v be 1*5000*j*-2. Round v to the nearest 100000. -2200000 Let n = -33096150.00183 + 33095941. Let m = 501 - 292. Let c = n + m. What is c rounded to four decimal places? -0.0018 Let b = 10 + -10.18. Let y = b + 37.58. Let p = y - 36. Round p to the nearest integer. 1 Let v = -0.39 + 11.39. Let s = 7.2 - v. What is s rounded to zero decimal places? -4 Let q = -74970234.8100169 - -74970238. Let k = 3.19 - q. Round k to six decimal places. 0.000017 Let o = -13 + 12.999991. What is o rounded to five dps? -0.00001 Suppose -9*y - 21853529 + 821053529 = 0. What is y rounded to the nearest one million? 89000000 Let n be 2 - 4*2/(-4). Suppose -4*h + n*y = 2*y - 6, -3*h + 8 = 2*y. Suppose 4*k + h - 486 = 0. What is k rounded to the nearest ten? 120 Suppose -10 - 5 = -5*g. Suppose p - 24 = -g*w, 4*p - 33 = -4*w + w. Suppose w*y + 2040000 = 3*y. What is y rounded to the nearest one hundred thousand? -500000 Let g = 370 + -318.21. Let c = 1.21 + g. Let z = 52.9999957 - c. What is z rounded to 6 dps? -0.000004 Let c = 20.2556 + -0.0756. Let z = c + -20. Let x = 0.01 - z. What is x rounded to one decimal place? -0.2 Suppose -7*f - 50238138 - 39291862 = 0. Round f to the nearest one hundred thousand. -12800000 Suppose 0 = -719*p + 717*p - 6740000. What is p rounded to the nearest one hundred thousand? -3400000 Let v = 251 - -287. Let y be v - (1 + (3 - 6)). Suppose 0*f + 2*f - y = 0. What is f rounded to the nearest 100? 300 Let w = 74 + -72. Suppose 0 = -w*y - 5*t - 1832000, -y + 0*y - 2*t = 916000. What is y rounded to the nearest 100000? -900000 Let g = -195.38 - -197. Let z = g + 15.58. Round z to the nearest 10. 20 Suppose 2*n + 8*m = 3*m + 19, -n = m - 5. Let v = n + -5. Let g be 6/(-9) - 153002/v. Round g to the nearest ten thousand. 50000 Let j = 3.274 - 3.274000603. Round j to seven dps. -0.0000006 Let q = 556 - 555.99999682. Round q to six dps. 0.000003 Let p = -77 - -77.51. Round p to 1 dp. 0.5 Let n = -3.75 - -0.35. Let k = 28.5 - n. Let b = 29 - k. What is b rounded to the nearest integer? -3 Let x = 17770.4962 + -17774. Let t = x - -3.5. What is t rounded to 3 decimal places? -0.004 Let m = -3.941 - -3.9. Let k = m - 153.959. Let f = k + 153.9999823. What is f rounded to 6 decimal places? -0.000018 Let a = -4.18345 + 4.18. What is a rounded to four dps? -0.0035 Let o = 1.5108817 - 1.511. Round o to 5 decimal places. -0.00012 Suppose 18*f - 22080 = 2*f. Round f to the nearest 100. 1400 Let x be 148*1 - (0 + 1). Suppose -5*z + 295 = 2*i, -63 = -3*z - 2*i + 110. Suppose -2*q - x = z. Round q to the nearest 10. -100 Let i = 1112.25 - 1073. Round i to the nearest integer. 39 Let w = 0.08 - 2.48. Let j = w + 2.416. What is j rounded to 2 dps? 0.02 Let x = -115.8904 - -116. Let y = x - 0.12. Round y to three decimal places. -0.01 Suppose -2*r = -4*x + 16019992, 4*x - 9612791 = -4*r - 41652799. Round r to the nearest one hundred thousand. -8000000 Let u = 14884.4 - -4780.6. Let s = u + -19675.957. Let o = s - -11. What is o rounded to 2 dps? 0.04 Let q = 326 - 305.3. Let m = 0.0325522 - -20.6557478. Let r = m - q. What is r rounded to three dps? -0.012 Let v = -5462787.2269887 - -5462787. Let o = 0.227 + v. Round o to 6 dps. 0.000011 Let j = 1012.999138 + -1013. Round j to four dps. -0.0009 Let t = 0.124 - 1.802. What is t rounded to 1 decimal place? -1.7 Let a = 2.28 - -226.72. Let q = a + -229.00000294. What is q rounded to six dps? -0.000003 Let l = 99.800461 + -99.8. What is l rounded to four dps? 0.0005 Let d = -2.099818 + 2.1. Round d to five decimal places. 0.00018 Let h = 0.008049 - 0.008. Round h to 5 dps. 0.00005 Suppose -4*j - x + 4190 = 0, 2*j - 443 - 1659 = 3*x. Suppose 3*n + j = c - 87, -4*n + c =
{ "pile_set_name": "DM Mathematics" }
s**(6287/119) Simplify ((y**(-1/3))**14*y**1*y**(-8)/y)/((y*y/(y**(2/3)*y))**(-39)/(y**1/y)**37) assuming y is positive. y**(1/3) Simplify (((f/((f/f**(5/7))/f))/f*f*f/(f*((f/(f**(-2/7)*f*f*f))/f)/f*f)*f*f)/((f/(f/f**(4/5))*f)/(f**(-16)/f)))**(-18) assuming f is positive. f**(7794/35) Simplify (d*d/(d/((d/(d/(d*(d**(1/15)*d)/d)))/d*d)*d*d)*d)**3/(d**(-39)/d*d**(4/3)) assuming d is positive. d**(628/15) Simplify (k/(k**(-1/46)*k))**(-33)*(k*k**47)/k**(-3/26) assuming k is positive. k**(14172/299) Simplify (((r/((r/r**(-6/13))/r)*(r**(-29)/r*r*r*r)/r)**(-8/9))**21)**(2/19) assuming r is positive. r**(13328/247) Simplify (b**(-5/3)*b*b/(b**(-3/7)/b*b)*b*b**(-1/5)*(b/(b/((b*b*(b*b**5)/b)/b)))/b)/((b**(-1)/b**(-1/2))/(b**8/(b/(b/b**(-5))))) assuming b is positive. b**(4213/210) Simplify ((a**(2/7)*a)**(-21/2))**(-20)*((a*a**(7/2)*a)/a**(-2/5))**(-1/4) assuming a is positive. a**(10741/40) Simplify (a**4*a*a**(2/13)/a)/((a*a**(-5/2))/(a**(1/3)/a*a))*(((a*a**1)/a)/a*a)**(3/13)/((a**(-7)/a)/a*a**(3/8)) assuming a is positive. a**(4631/312) Simplify ((s*s*s/(s*s**0/s)*((s*s*s*s**3/s)/s)/s)/(s**6*s**8))/(((s**0*s*s)/s*s/s**(-1/4)*s)/((s/(s**(-3/8)/s))/(s*s**6/s))) assuming s is positive. s**(-119/8) Simplify s**5*(s**(-2/5)*s)/s*(s*s*s**(-2/7)*s)**26*((s**(-1)/s)/s)**19*s**(-6)/s**(-1) assuming s is positive. s**(461/35) Simplify ((d**(-2/25))**(-18/5)*(d/((d*(d**(-15)/d)/d)/d))/((d*d*d**(-1/3))/d))**44 assuming d is positive. d**(290752/375) Simplify ((y/y**(-2/5))**(3/31))**7/(y*y*y**(-1/13)/y*y**2/y)**(-30) assuming y is positive. y**(118161/2015) Simplify ((c*c**(2/7))**(2/77))**29/((c**(2/7))**(-35/2)*c**(-6)*c**6) assuming c is positive. c**(3217/539) Simplify (((c/((c*c**(-1))/c))**(-1/8)/(c/c**(1/3))**(1/21))**13)**47 assuming c is positive. c**(-43381/252) Simplify ((((d**(-1/4))**(-15))**(3/16))**(-5/11))**(22/9) assuming d is positive. d**(-25/32) Simplify ((m/(m/m**(-3/2)))/m**0)**(39/5)*m*m**(2/11)*m*m*m/((m*m**(-2/9))/m*m)*(m**(1/2)*m)**(7/4) assuming m is positive. m**(-22457/3960) Simplify ((m*m*m*m*m/(m**(-10/3)/m)*m)/m*m*(((m*m/(m**4/m))/m)/m)/m)**(-8/15)/(((m*m/m**(1/4))/m*m**(-3/7)/m)/(m*m**(-1))**(-9/5)) assuming m is positive. m**(-3401/1260) Simplify (v/(v**(-1)/v)*v*v)**(3/14)*((v*v**1)/v)**(-2/31)*(v*v**4*(v/v**(1/3))/v)/(v**(1/3)*v)**(-33) assuming v is positive. v**(64675/1302) Simplify ((t**1)**(-15)*t*t*t/((t/(t**(-2/17)*t))/t)*t*t**(6/11))/((t**0)**36)**(-29) assuming t is positive. t**(-1790/187) Simplify (m/m**(-1)*m/(m*m**(-4/7))*m*m**0*m**(-2)*m)/((m**(-2))**(-34)/((m/m**(-2))/m**(-8))) assuming m is positive. m**(-381/7) Simplify (l*l**(-2/3)*l**3)**(19/2)*((l/(l**(1/2)/l))/l)**23/(l**8*l**(3/7)) assuming l is positive. l**(1459/42) Simplify (u*u**(-3/4)*u*u*u**(-4)*u*u*u**6*u*u**3*u*u)/(u**(-3/10)*u*u**3)**(15/7) assuming u is positive. u**(121/28) Simplify (((x**(-13))**10)**44)**(5/7) assuming x is positive. x**(-28600/7) Simplify g**(-1/11)*g*g**(-4)*g**(1/5)*(g/g**(-9))/g*(g**(-1)*g*g**(1/3))/(g/g**6*g**(-2/13)) assuming g is positive. g**(24874/2145) Simplify t**7*t*t**(-16)/t*t*(t**(1/4)/t)**(-4) assuming t is positive. t**(-5) Simplify (((q*q**(-1/22))/(((q**(-17/3)*q)/q)/q))/((q/(((q*q**27)/q)/q*q))/(q/(q*q**(2/131)))))**(-18) assuming q is positive. q**(-871671/1441) Simplify (((d**(-2)*d*d**(-6))/((d/d**(-3))/d)**(2/79))**(-2/29))**50 assuming d is positive. d**(55900/2291) Simplify r**(-1/3)*r/(r/(r**(-2)*r))*r*(r/((r/(r*r**(-2/5)))/r))/r*r**(-5)/r*r*((r**(2/9))**29)**(-9) assuming r is positive. r**(-941/15) Simplify ((q/(q*q**(-2/3)))**(18/11))**2*(((q*(q/(q*q*q*q**(-1/4)/q*q*q*q*q*q))/q*q)/q)/q**(-7))**0 assuming q is positive. q**(24/11) Simplify ((z*z**(-2/5))/z*(z**(-5)*z)/z)/(z/z**(-1/3)*z)**36*((z*z*z**(-4)*z)/z**1)**(-2/9) assuming z is positive. z**(-4003/45) Simplify (c/(c*c**(-2/3)))**(14/3)*c*(((c/(c/c**(3/5)*c)*c)/c)/c)/c*c**(-1)*c**(-2/9)*c*c**(2/5)/c*c*(c*c**(1/2))/c*c**(-1) assuming c is positive. c**(25/18) Simplify ((h/h**1*h)/h)**(-34)/(h**(-2/25)*h*(((h**(-2/9)*h)/h)/h)/h*h*h)*((h/(h*h**(-1/3)*h))/(h**5/h))/(h/((h**(2/3)*h)/h)*h**(3/5)*h) assuming h is positive. h**(-1642/225) Simplify ((i*i/i**(-2/49))**(1/9)/(i**(2/37))**(-1/25))**(-21) assuming i is positive. i**(-93382/19425) Simplify (((o*o**(2/21))/(o*o*o*o**(-1/3)/o*o*o*o))/(o**2/((o*o*o**(-8)*o*o*o)/o)))**(7/3) assuming o is positive. o**(-67/3) Simplify (o*o/o**12*o*o/((o/(o**(-5/6)*o)*o)/o))**(1/19)*(o**13/o*o*(o*o**(3/2))/o)**(24/11) assuming o is positive. o**(39089/1254) Simplify r*r**(4/11)*r**(7/4)*(((r*r*r*r/r**(-40)*r*r)/r)/r)/(r/(r**(2/37)*r)*r) assuming r is positive. r**(75161/1628) Simplify (z**(-4)*z)/z**(-1/7)*(z/((z/z**(1/4))/z))/z**(-3)*((z*z/z**(-2))/z)**(-41)/(z*z/(z*z*z/(z**(-4)*z)*z)*z*((z*z**1/z*z)/z)/z) assuming z is positive. z**(-3293/28) Simplify (d**(1/5)/((d**(5/3)*d)/d))/(d**(-1)/d**0)*((d/d**0*d)**(-7/5))**(-20/3) assuming d is positive. d**(91/5) Simplify ((b**(-1/2))**(-11)/((b*b/(((b/(b/b**(-1))*b)/b)/b))/b)**(-5))**10 assuming b is positive. b**205 Simplify (((k**3/k**(-2))/(k**0*k)**(-1/4))**(6/19))**(-35) assuming k is positive. k**(-2205/38) Simplify ((((h*h*h*(h/(h/(h*h**1)*h))/h*h*h)/(((h/(h*h*h**(1/11)))/h)/h))**(1/6))**(-1))**15 assuming h is positive. h**(-445/22) Simplify (q*q**(2/19)*q**(-4/15)*q/(q*q/q**(-12)*q)*q/(q/q**3))**(-1) assuming q is positive. q**(2896/285) Simplify ((i**(5/4)*i*(i*i**(-5)/i)/i*i)/(i**(-2)*i**(-1)))/(i**(-2/5)/(i*i**(-4/7))*(i**(-1/2))**42) assuming i is positive. i**(3091/140) Simplify (((g**(-2)/g**(2/13))/(g**0)**(4/5))**(-15/2))**(-3/23) assuming g is positive. g**(-630/299) Simplify (w*w/(w**(-3/8)*w)*w**5/w)/(w**(1/3))**(-40)*(w**(-1/8)*w*w**13)**22 assuming w is positive. w**(7775/24) Simplify ((j/(j/(j*j**20)))**(-4)*j**34*j**(-16/9))**(-2/27) assuming j is positive. j**(932/243) Simplify (((t*t/(t/(t*t/t**(-1))*t))/t**(2/3))/(t**(-2))**(-29))/((t*t*t**(-1))**48*(t/(t/t**2))**1) assuming t is positive. t**(-317/3) Simplify ((u**8*u*u**(-3))/(u/(u**4/u)*u*u**(2/3)*u))/(u**(-6)*u*u/(u*(u**11/u)/u*u*u))**(2/5) assuming u is positive. u**(176/15) Simplify (k**(-1/3))**(-3/4)/((k*k*k*k**(-5))/(k**(1/6)/k))*(k*k*(k**(-1)*k)/k*k)**(8/3)*k**(-1/15)*(k*k/k**2*k)/k assuming k is positive. k**(401/60) Simplify i/(i/(i**(16/7)*i))*i**8*(i/(i**(-10/7)*i))**(-35) assuming i is positive. i**(-271/7) Simplify (((g**(2/9)/g*g/(g/g**(-8)))**15)**(-1/40))**6 assuming g is positive. g**(79/4) Simplify ((u**3/u)**(-25/4)/(u*u**(-1)*u*u)**(-4/25))**(-6/23) assuming u is positive. u**(1827/575) Simplify ((x**(1/45)*x**(-3/22))**30)**50 assuming x is positive. x**(-5650/33) Simplify ((((p**7)**(-3/20))**(-4/15))**(10/7))**(2/19) assuming p is positive. p**(4/95) Simplify ((m/(m**(1/7)/m))/(m*m/((m*m**8)/m*m))*m*m**(-2/7)*m*m*(m*m*m**(-2/9)*m*m)/m)/(((m**7*m)/m)/m**(2/9)*m**(-4/5)*m/m**(-8)) assuming m is positive. m**(-22/35) Simplify ((n/(n**3/n))/(n*n*n*(n*n**(-2/15)*n)/n*n*n))**(-11/2)/((n*n**(-2/21)*n**(3/7)*n)/(n**(-7)/(n*n**(-2)*n))) assuming n is positive. n**(853/30) Simplify (((w/(w*w/(w/(w/w**(-2)))))/w*w)**(25/7))**(-4)/(w/(w*w/(w/((w**(1/7)/w)/w)))*w*w**2*(w*w**(-1/3)*w)/(w*w**4*w)) assuming w is positive. w**(127/3) Simplify (s**(1/2)*s)**(-8/11)*(s*s**(-4/9)*s*s)/(s*s**(-1/7)*s)*(s**(-4)*s/s**(-2))/(s**(1/5))**5 assuming s is positive. s**(-1658/693) Simplify (a**(1/3))**50/(a**(-13))**(11/3) assuming a is positive. a**(193/3) Simplify ((q/(q*q**(3/4)))/q**2*(q**(-1))**(2/19))/((q*q**4*q)**(2/21))**(-48) assuming q is positive. q**(13073/532) Simplify q**(2/7)*q*q**(-3)*(q**0)**7*((q*q**(-1)/q)/q*q)**(-50)*q*(q/q**3)/q*q*q**(-5)/q assuming q is positive. q**(289/7) Simplify ((q*(q/(q/((q/(q**(-2/5)*q))/q)))/q*q)/(q**(-32)*q)*(q**(17/4))**(-35))**(1/28) assuming q is positive. q**(-2347/560) Simplify ((a/a**(-3)*a**(-4/5))/(a/a**(-2/7))**(3/8))/((a*a**(-2)/a*a*a*(a*a**(2/5)/a*a*a)/a)/(a**5*a/(a**(1/3)*a))) assuming a is positive. a**(5027/840) Simplify ((x**(-4))**47*x*x**(1/6)/x*x*x*(x*x/(((x/x**(-4))/x*x)/x))/x*x*x)**(1/30) assuming x is positive. x**(-1121/180) Simplify ((f**(-1/4))**14)**(-8/11)*(f**(2/11)*f**(3/8))**(-44) assuming f is positive. f**(-483/22) Simplify ((t*t*t**(-27/5)*t)/t)/t*t**(-32)*(t**(-40)/t)**(1/5) assuming t is positive. t**(-2
{ "pile_set_name": "DM Mathematics" }
*l Differentiate 8*k**3*l + 917*k**3 + k**2*l**3 - 5*k*l wrt l. 8*k**3 + 3*k**2*l**2 - 5*k Find the second derivative of -2160*q**2 - 774*q + 1. -4320 What is the second derivative of 28209*f**2*n**2 - 10287*f**2*n + 2*n wrt n? 56418*f**2 Differentiate 2*f**3 + 176*f + 849 with respect to f. 6*f**2 + 176 What is the second derivative of -1791*j**2 - 1212*j? -3582 Find the second derivative of 7*v**3 - 2*v**2 - 1111*v. 42*v - 4 What is the second derivative of -113*b**2*k**3 - 2*b*k**3 - 31*k**3 - 2*k**2 wrt b? -226*k**3 Find the second derivative of -81*j**2*r**3 + 8*j**2*r**2 + 2*j**2*r + 12*j**2 wrt r. -486*j**2*r + 16*j**2 What is the third derivative of 2*r**5 + 27*r**4 + 3*r**2 - 29*r? 120*r**2 + 648*r What is the second derivative of 2*i**3 + i**2*n**3 - 138*i**2*n - i*n**3 + 4*i*n - 3*n**3 wrt i? 12*i + 2*n**3 - 276*n Find the second derivative of -17*d**2*j**2 + 2*d**2*j - d*j**2 - 6*d wrt d. -34*j**2 + 4*j What is the derivative of 1739*o*p - 1603*p - 1 wrt o? 1739*p Differentiate 13*w**3*y - w**2*y**3 + 13*w*y**2 + 14*y**3 - 4 with respect to w. 39*w**2*y - 2*w*y**3 + 13*y**2 What is the derivative of 2*a*i*x**3*y + 2*a*i*y - 348*a*i - 29*a*x**3 + 3*a*x*y + a wrt i? 2*a*x**3*y + 2*a*y - 348*a Find the third derivative of -22211*w**3 - 4*w**2 + 2*w - 131 wrt w. -133266 Differentiate 68*s**4*y**2 + 19*s**3*y**2 + 2503*y**2 with respect to s. 272*s**3*y**2 + 57*s**2*y**2 Find the second derivative of 322*z**4 - 523*z - 2 wrt z. 3864*z**2 Differentiate 9*m*q*y - 8*m*q + 2*q*y + q wrt y. 9*m*q + 2*q What is the third derivative of -2*o*s**4 + 2*o*s**2 - 2*o*s + 2000*s**6 - 33*s**2 - 3 wrt s? -48*o*s + 240000*s**3 What is the derivative of -63*w**3 - w**2*y**3 + 2*w*y**2 - 1839*y**3 + 2 wrt w? -189*w**2 - 2*w*y**3 + 2*y**2 Differentiate -30*k*m**2*q**2 + 2*k*m**2 - 7*k*q - 7*k - 2*m*q**3 + 3 wrt q. -60*k*m**2*q - 7*k - 6*m*q**2 Find the second derivative of -3*g**3*x**2*z**2 + 8*g**3*x**2*z + 52*g**3*x*z**2 + 2*g**3 - 8*z wrt z. -6*g**3*x**2 + 104*g**3*x What is the third derivative of -174*s**6 - s**5 + s**2 - 264*s wrt s? -20880*s**3 - 60*s**2 Differentiate -2*n*t**3*v + 30*n*t**3*w - 3*n*t**2*v*w - t**3*v - 7*t**2 - 9*v with respect to w. 30*n*t**3 - 3*n*t**2*v Find the second derivative of 219*p**2*u**2 - 7*p**2*u + 15*u wrt u. 438*p**2 What is the second derivative of 3*l*s**5 + l*s**4 - 6*l*s**3 - l*s + 102*s wrt s? 60*l*s**3 + 12*l*s**2 - 36*l*s What is the third derivative of -31*l**4 + l**3 - 12059*l**2? -744*l + 6 What is the second derivative of -1597*f**3 - 2*f + 3044 wrt f? -9582*f Find the third derivative of 1033*u*w**3 - 10*u*w**2 - 2*u*w - w**3 + 26*w wrt w. 6198*u - 6 Find the second derivative of -2*f*v**2*y**2 + 1778*f*v**2 + 2*f*v*y**2 + 2*f*v + 2*f*y - 38*v*y**2 - 4*y wrt v. -4*f*y**2 + 3556*f Find the second derivative of 2*c**4*r + 56*c**3*r**3 + 2*c**2 + 126*c*r**3 + c*r wrt c. 24*c**2*r + 336*c*r**3 + 4 Differentiate -17*r**3 - 12*r**2 - 1574 with respect to r. -51*r**2 - 24*r What is the derivative of 15167*x + 15043 wrt x? 15167 What is the second derivative of 3*z**5 + 103*z**3 - 312*z wrt z? 60*z**3 + 618*z What is the first derivative of -2*c**3*p + 20*c**2*p - c**2 - 490*p wrt c? -6*c**2*p + 40*c*p - 2*c What is the third derivative of 461*f**3*g + 18*f**3 - 3*f**2*g + 9*f + 15*g wrt f? 2766*g + 108 What is the third derivative of -q**4 + 2980*q**3 + 2*q**2 - 242? -24*q + 17880 Find the second derivative of 4*j**5 + 19*j**3 - 3322*j wrt j. 80*j**3 + 114*j Differentiate -2*p**4 + 3769*p**3 + 1771. -8*p**3 + 11307*p**2 What is the second derivative of -27*m**3 + m**2 - 77*m wrt m? -162*m + 2 What is the second derivative of 174*c**4 - 2*c**3 - 1614*c wrt c? 2088*c**2 - 12*c What is the second derivative of -171*i**4*y + 76*i*y - 2*i wrt i? -2052*i**2*y What is the first derivative of 4*h*j**2*o**2 + 35*h*o**2 - 3*h*x - 1126*j**2*o**2 - j*o**2*x wrt h? 4*j**2*o**2 + 35*o**2 - 3*x Differentiate -7639*d - 8597 with respect to d. -7639 Differentiate -1152*p + 634. -1152 Find the third derivative of -1558*o**6 - 6*o**2 - 8*o. -186960*o**3 Find the third derivative of 2697*x**5 + 38*x**2 + 2*x + 11. 161820*x**2 What is the third derivative of 51*x**6 + x**4 - 12*x**2 - 2*x? 6120*x**3 + 24*x What is the second derivative of -n**2*p*y - 4*n**2*y**2 + 120*n**2*y - 3*n*p**3*y**2 - 21*p**3*y**2 - 2*p**3*y wrt y? -8*n**2 - 6*n*p**3 - 42*p**3 What is the derivative of -3*g**4 - 6*g**2 + 146? -12*g**3 - 12*g What is the third derivative of -15*a**4 + 18*a**3 - 470*a**2 + 1 wrt a? -360*a + 108 What is the second derivative of -2845*n**5 + 27*n + 8 wrt n? -56900*n**3 Differentiate 107*h - 22 wrt h. 107 Find the first derivative of f**2*u + 44*f*m**3*u**2 - 31*f*m**3 - 771*m**3*u + 8*m*u**2 wrt f. 2*f*u + 44*m**3*u**2 - 31*m**3 What is the third derivative of 38*h**3*p**5 + 171*h**3*p**3 + 1633*h**3*p**2 - 2*h**3 + 2*p**2 wrt p? 2280*h**3*p**2 + 1026*h**3 What is the second derivative of 404*w**2 + 126*w? 808 What is the first derivative of 517*c**4 + 480 wrt c? 2068*c**3 Find the first derivative of 2*m*n**3 + 4308*m*n**2 + m + 36 wrt n. 6*m*n**2 + 8616*m*n What is the third derivative of -6*d**5 + 15*d**4 + 4*d**2 - 3*d? -360*d**2 + 360*d What is the third derivative of -91*b**5 - 3*b**4 + 79*b**2 wrt b? -5460*b**2 - 72*b What is the second derivative of -40*i*k**2*r + 2*i*k**2 + 2*i*k*r**2 + 19*k**2*r**2 + 4*k*r + 2*r**2 wrt r? 4*i*k + 38*k**2 + 4 Find the second derivative of 3*k*w**2 - 142*k*w + 17*w**2 wrt w. 6*k + 34 What is the third derivative of -2*c**4*t - 5*c**4 - 2*c**3 + 252*c**2*t - 2*c*t wrt c? -48*c*t - 120*c - 12 Find the third derivative of 587*r*x**3 - 515*r*x**2 + 2*r*x - 2*x**3 wrt x. 3522*r - 12 Find the third derivative of -188*k**3*s**2*t**3 - 4*k**3*s*t**3 + k**2*s**2*t**3 + 2*s*t**3 - 388*s*t wrt k. -1128*s**2*t**3 - 24*s*t**3 Find the second derivative of -785*x**5 - 2*x**2 - 4807*x - 2 wrt x. -15700*x**3 - 4 What is the third derivative of 17*q**3 + 2*q**2 - 17 wrt q? 102 Find the second derivative of -2*u**2*z + 80*u**2 + 4*u - 32*z wrt u. -4*z + 160 What is the derivative of -226*r - 501 wrt r? -226 What is the first derivative of -2*j*x**3 + 74*j*x - 764*j - x**3 wrt x? -6*j*x**2 + 74*j - 3*x**2 Find the third derivative of -b**5*y**3 + 509*b**5 - 147*b**2*y**2 - y**3 wrt b. -60*b**2*y**3 + 30540*b**2 Differentiate 19*s**4*v**2 - 48*s*v**2 - 1452*v**2 wrt s. 76*s**3*v**2 - 48*v**2 Find the second derivative of 6049*u**2 - 8*u + 256 wrt u. 12098 What is the second derivative of 53*f*i**3 - 5*f*i + 416*f + i**2 wrt i? 318*f*i + 2 What is the third derivative of -1422*a**2*l**5 + 2*a**2*l**2 - 26*a**2 - 25 wrt l? -85320*a**2*l**2 Find the third derivative of -2*n*t**4 - 3*n*t**3 - n*t**2 - 2*n + 108*t**5 + 1082*t**2 + 1 wrt t. -48*n*t - 18*n + 6480*t**2 What is the derivative of -3*t**3*w**2 - 4*t**3*w + 2*t**3 - 20*t - 37*w**2 - 10 wrt w? -6*t**3*w - 4*t**3 - 74*w What is the second derivative of c**3*q**2 + 17*c**2*q**3 + c*q**3 + 33*c*q - 6 wrt c? 6*c*q**2 + 34*q**3 Find the third derivative of 12*m*y**3 - m + 40*y**4 + y**2 + 1 wrt y. 72*m + 960*y What is the third derivative of -1437*n**3*w**3 + 10*n**3*w**2 + 86*n**3 wrt w? -8622*n**3 What is the first derivative of 5*q*u**3*v - q*u**3 + 432*q*u*v**2 + 62*u**3 - 2*u*v**2 - 3*u*v + 1 wrt q? 5*u**3*v - u**3 + 432*u*v**2 What is the first derivative of 3649*r**3 - 2105? 10947*r**2 What is the first derivative of -12684*h**2 + 32311 wrt h? -25368*h What is the second derivative of 40*l**3*m**2 + l**3*m - 1349*l**3 - 10*l**2*m**3 - m**2 wrt m? 80*l**3 - 60*l**2*m - 2 Find the first derivative of -42*i**4 + 2*i*r - 3*i + 244*r + 27 wrt i. -168*i**3 + 2*r - 3 Differentiate -6663*q**2*w + 4*q**2 - 2*w**4 - 914 wrt w. -6663*q**2 - 8*w**3 What is the derivative of -n**3*o + 12*n**3 - 10*n*o**2 - 296*o**2 wrt n? -3*n**2*o + 36*n**2 - 10*o**2 What is the derivative of -2072*n + 4239? -2072 Differentiate 206*u - 211 with respect to u. 206 Find the second derivative of -524*c**2 + 69*c - 2 wrt c. -1048 Differentiate 187*m**4*s**2 - 2*m**2*s**3 - 66*s**3 - s**2 wrt m. 748*m**3*s**2 - 4*m*s**3 Differentiate 359*v**3 - 2*v + 5255 with respect to v. 1077*v**2 - 2 Differentiate 979*d*m**2 - 394*m**2 wrt d. 979*m**2 What is the second derivative of 482*q**2
{ "pile_set_name": "DM Mathematics" }
litres. 0.007352638 How many kilograms are there in five quarters of a tonne? 1250 What is 5916.292 micrograms in tonnes? 0.000000005916292 What is 0.66259 days in nanoseconds? 57247776000000 Convert 4.570201 litres to millilitres. 4570.201 What is 93.54028 days in minutes? 134698.0032 What is twenty-one fifths of a litre in millilitres? 4200 How many millilitres are there in 7/8 of a litre? 875 What is 5.965187 millennia in years? 5965.187 What is 0.5083752ng in micrograms? 0.0005083752 How many decades are there in 2.1238239 months? 0.0176985325 What is 0.212127l in millilitres? 212.127 How many millimeters are there in fifteen quarters of a meter? 3750 How many grams are there in 98.41456 milligrams? 0.09841456 Convert 3027.33 kilograms to tonnes. 3.02733 How many nanometers are there in 1874.315km? 1874315000000000 Convert 213970.4 milligrams to kilograms. 0.2139704 Convert 9.538072 millimeters to kilometers. 0.000009538072 How many litres are there in 6876.995ml? 6.876995 What is 0.7908184 kilograms in tonnes? 0.0007908184 How many years are there in eleven halves of a decade? 55 How many millilitres are there in thirty-seven fifths of a litre? 7400 Convert 861.4682 millilitres to litres. 0.8614682 How many minutes are there in thirteen fifths of a day? 3744 Convert 284123.3 millennia to years. 284123300 Convert 0.1411722 tonnes to kilograms. 141.1722 What is 0.0560601 hours in seconds? 201.81636 How many nanometers are there in 4.345323 kilometers? 4345323000000 What is 51/4 of a minute in seconds? 765 How many months are there in 53/4 of a decade? 1590 What is 3/5 of a day in seconds? 51840 How many centimeters are there in 5/4 of a meter? 125 Convert 41947.39mg to kilograms. 0.04194739 What is 697348.8 minutes in seconds? 41840928 What is fifty-five quarters of a kilometer in meters? 13750 What is 37/5 of a century in months? 8880 Convert 484.0686 years to months. 5808.8232 How many centuries are there in 107596.89 months? 89.664075 How many kilograms are there in 7/2 of a tonne? 3500 How many millilitres are there in 45/4 of a litre? 11250 What is 924061.2 centimeters in meters? 9240.612 What is 635.31 nanometers in kilometers? 0.00000000063531 What is 6/25 of a litre in millilitres? 240 How many millilitres are there in 13002.7 litres? 13002700 What is thirty-one fifths of a century in decades? 62 What is seven thirds of a day in hours? 56 What is four fifteenths of a hour in seconds? 960 What is 45/4 of a second in milliseconds? 11250 What is 13/4 of a litre in millilitres? 3250 What is 31/5 of a litre in millilitres? 6200 How many decades are there in thirteen quarters of a millennium? 325 What is 1363.64949 minutes in weeks? 0.1352826875 Convert 1095.77um to centimeters. 0.109577 Convert 6.093852ml to litres. 0.006093852 What is 5.680871kg in milligrams? 5680871 Convert 90743.21 kilometers to millimeters. 90743210000 Convert 4.317271 micrometers to centimeters. 0.0004317271 How many litres are there in 0.7359116ml? 0.0007359116 How many nanoseconds are there in 65036.28ms? 65036280000 What is three eighths of a meter in millimeters? 375 What is 11.04026 grams in tonnes? 0.00001104026 What is 0.4770596ng in kilograms? 0.0000000000004770596 What is 3/50 of a second in milliseconds? 60 What is seven halves of a litre in millilitres? 3500 What is 2.453063m in centimeters? 245.3063 What is 4893.495g in nanograms? 4893495000000 What is 0.4735434ml in litres? 0.0004735434 How many decades are there in seventy-six fifths of a century? 152 What is 10.5573 centimeters in nanometers? 105573000 How many meters are there in 2604.208 nanometers? 0.000002604208 How many nanoseconds are there in 34/5 of a microsecond? 6800 Convert 483.664 weeks to minutes. 4875333.12 What is 4759.369km in centimeters? 475936900 Convert 0.3929369mm to kilometers. 0.0000003929369 How many kilometers are there in 417.22um? 0.00000041722 Convert 568360.8ml to litres. 568.3608 What is one sixth of a hour in minutes? 10 How many nanoseconds are there in one quarter of a microsecond? 250 How many grams are there in 33324.6 tonnes? 33324600000 How many centimeters are there in 1/4 of a kilometer? 25000 How many centuries are there in 9136.12 years? 91.3612 What is 34/5 of a micrometer in nanometers? 6800 What is 3/10 of a day in seconds? 25920 What is 2757.186s in nanoseconds? 2757186000000 Convert 0.4203138 micrometers to millimeters. 0.0004203138 Convert 0.4828543ml to litres. 0.0004828543 Convert 767699.7 litres to millilitres. 767699700 Convert 13.20533 weeks to nanoseconds. 7986583584000000 How many minutes are there in 2053.889 weeks? 20703201.12 How many minutes are there in 11/10 of a week? 11088 How many millilitres are there in eleven halves of a litre? 5500 What is eleven tenths of a century in years? 110 How many seconds are there in 29/2 of a minute? 870 How many millilitres are there in one tenth of a litre? 100 What is sixty-four fifths of a litre in millilitres? 12800 Convert 0.5853904 decades to years. 5.853904 How many months are there in 5/6 of a year? 10 How many millimeters are there in thirty-one halves of a meter? 15500 What is fifty-four fifths of a tonne in kilograms? 10800 Convert 0.952157 centuries to decades. 9.52157 How many nanoseconds are there in twenty-one halves of a microsecond? 10500 What is 19266.72 litres in millilitres? 19266720 What is one quarter of a kilometer in centimeters? 25000 What is 3/25 of a kilometer in centimeters? 12000 Convert 4785.761m to millimeters. 4785761 What is three tenths of a millennium in decades? 30 Convert 6.524501 centuries to years. 652.4501 How many litres are there in 0.570266ml? 0.000570266 What is 12633.456 months in centuries? 10.52788 What is 25/2 of a tonne in kilograms? 12500 What is 2913242.4 seconds in hours? 809.234 What is 25/2 of a kilogram in grams? 12500 Convert 346.464 months to centuries. 0.28872 How many seconds are there in 65/3 of a hour? 78000 How many millilitres are there in 7.15929l? 7159.29 What is 27745.28 micrograms in milligrams? 27.74528 How many nanometers are there in 27159.07 centimeters? 271590700000 What is 2/7 of a week in hours? 48 What is 88.00265ml in litres? 0.08800265 How many kilograms are there in 1/20 of a tonne? 50 How many millimeters are there in 649.177m? 649177 How many months are there in 739.3728 centuries? 887247.36 How many months are there in one fifth of a millennium? 2400 What is 87.58685l in millilitres? 87586.85 How many seconds are there in 17/2 of a minute? 510 Convert 72.24273 meters to millimeters. 72242.73 How many millimeters are there in 600.5406cm? 6005.406 How many months are there in 19/4 of a millennium? 57000 What is 2/15 of a week in minutes? 1344 How many millilitres are there in 943.156l? 943156 What is six fifths of a decade in years? 12 What is two ninths of a week in minutes? 2240 What is twenty-one quarters of a day in hours? 126 Convert 0.1938744 litres to millilitres. 193.8744 What is 144.116t in grams? 144116000 How many years are there in fourty-two fifths of a century? 840 What is 45/2 of a litre in millilitres? 22500 What is seventy-six fifths of a litre in millilitres? 15200 What is 0.8571948 centuries in months? 1028.63376 What is twenty-nine halves of a centimeter in millimeters? 145 How many millilitres are there in 3/25 of a litre? 120 Convert 96.27397ml to litres. 0.09627397 Convert 597.8062 millilitres to litres. 0.5978062 How many centuries are there in twenty-six fifths of a millennium? 52 What is seven halves of a hour in seconds? 12600 Convert 52.05909 litres to millilitres. 52059.09 How many millilitres are there in eleven quarters of a litre? 2750 How many millilitres are there in 18/5 of a litre? 3600 What is 25/2 of a kilogram in grams? 12500 How many grams are there in 1/10 of a kilogram? 100 How many millilitres are there in eleven eighths of a litre? 1375 Convert 0.36535 decades to years. 3.6535 What is eleven sevenths of a week in days? 11 How many years are there in one quarter of a millennium? 250 What is fourty-two fifths of a litre in millilitres? 8400 What is twenty-three sixths of a hour in seconds? 13800 What is 9.257849kg in milligrams? 9257849 How many decades are there in 59/5 of a millenn
{ "pile_set_name": "DM Mathematics" }
What is the closest to -2 in 1/5, -0.1, 5? -0.1 Which is the closest to 0.1? (a) 0.06 (b) 211 (c) 5 a What is the closest to -2/7 in -6, -0.1, -0.2, 0.056? -0.2 Which is the closest to -0.2? (a) 0.2 (b) 58 (c) -5 a Which is the closest to -0.2? (a) -7 (b) 1 (c) 9 b What is the nearest to 0 in 4, -3.7, -0.3? -0.3 Which is the nearest to 1/3? (a) 1 (b) -6 (c) 3/8 (d) -3/5 c What is the closest to 0.3 in 1/7, 3/4, 16? 1/7 What is the nearest to 1 in 7, -2/23, -2/3, -0.2? -2/23 What is the nearest to 3 in -1, -1/5, -0.4? -1/5 Which is the nearest to 0? (a) -6 (b) -0.3 (c) -2/9 (d) 0 d What is the closest to -1/3 in 1/171, -1/4, 0.3, -2/7? -2/7 Which is the nearest to -0.03? (a) 3/4 (b) 3 (c) -9 a Which is the nearest to 1/2? (a) 134 (b) 4 (c) -6/11 c Which is the closest to 0.1? (a) 3/7 (b) -92 (c) 2/7 (d) 1/2 c What is the closest to 0 in -2, -5, 2/9, 85? 2/9 What is the nearest to -0.1 in -1/4, 0.1, 6, -19? -1/4 Which is the nearest to -3? (a) 2/15 (b) 2/3 (c) -2/3 (d) 7 c What is the nearest to 0.2 in -2/7, 49, -5? -2/7 Which is the closest to -1? (a) 2/3 (b) -5 (c) 1.5 a What is the closest to -4 in -1.1, -1, 2/5? -1.1 What is the nearest to 0.2 in -3, -0.2, 9? -0.2 Which is the closest to -2/7? (a) -1/10 (b) 1/2 (c) -3/17 (d) 10 c What is the nearest to 4/17 in 0.03, -4, 5, 2? 0.03 What is the nearest to -10 in -2/7, -2, 1/4, 15? -2 Which is the nearest to -0.035? (a) 4 (b) -0.4 (c) 0.2 (d) -4/5 c What is the closest to 1 in 3, -1/19, -0.1, -0.7? -1/19 Which is the nearest to -1? (a) -3/2 (b) -1 (c) -0.7 (d) 7 b Which is the closest to 1/7? (a) -1 (b) 2 (c) 0.3 (d) -3 c Which is the closest to 0.1? (a) 5 (b) 4 (c) -37 b Which is the closest to -0.3? (a) 3 (b) -0.5 (c) -4 b Which is the nearest to -0.1? (a) 1/217 (b) 2/5 (c) -2/9 a Which is the closest to 2? (a) 0.5 (b) 0.7 (c) 1 (d) 0.4 c Which is the closest to 4? (a) -0.3 (b) 7/8 (c) -7 b What is the closest to 10 in 0.5, -3, -20, 1? 1 Which is the nearest to 2/37? (a) 2 (b) -6 (c) -3 (d) 0.4 d Which is the closest to 711? (a) 2/7 (b) 0.3 (c) 3 (d) -5 c Which is the closest to 0.02? (a) 1/4 (b) -5 (c) 0.08 (d) 2/7 c What is the nearest to 16 in -4, 3, -5? 3 Which is the closest to 1? (a) -1 (b) 2/33 (c) -4 (d) 3/5 d What is the nearest to -12 in -3, -0.5, 2/11? -3 What is the closest to 2/5 in -2/5, -45, 3/8? 3/8 Which is the nearest to -1.4? (a) 1/4 (b) 6 (c) 2/9 (d) -4 c What is the closest to 5 in 2/7, 6/5, 5? 5 Which is the closest to -2/7? (a) 1.53 (b) -2/23 (c) -3 (d) 2 b Which is the closest to -61? (a) -2 (b) -2/15 (c) 5 a Which is the closest to 1? (a) 19 (b) -2 (c) -14 (d) 0.1 d What is the closest to 1/4 in 0.044, 2/9, -2, 1? 2/9 What is the closest to -0.2 in 14, 6, 2, -3? 2 Which is the closest to 0.1? (a) 3 (b) -10 (c) 0.1 c What is the nearest to 0 in -0.3, -4/13, -1/5, -2/15? -2/15 What is the closest to -45/8 in -5, 0.4, 4/3? -5 What is the closest to 9 in 4/7, 2/21, 2? 2 What is the nearest to 0.1 in -1/4, -0.6, 5, -3? -1/4 Which is the nearest to -0.2? (a) -5 (b) -0.4 (c) -5/7 (d) 0.3 b What is the closest to -1 in -0.7, 4, 2/9? -0.7 What is the closest to -1 in 2/3, 2.44, 0.5, 0? 0 What is the closest to -2 in 0, -1, 0.1? -1 What is the closest to 0 in -0.38, 0, -0.3? 0 Which is the nearest to -10? (a) -2/5 (b) 8 (c) 2 a What is the closest to -1/3 in -5, 2, 9/7, 4? 9/7 What is the nearest to 2/7 in 0.1, -3, -4, 0.5? 0.1 What is the nearest to 10 in -8, -2/9, -0.2? -0.2 What is the closest to -11/5 in -4, -2/7, -1/8? -4 What is the closest to 2/3 in 1/4, 0.1, -0.1, -1/4? 1/4 Which is the nearest to -0.2? (a) -2/9 (b) -2/19 (c) -7 a What is the nearest to 0 in 0.5, -2, -3, -5? 0.5 Which is the closest to -6/11? (a) 3 (b) -5 (c) -4 c Which is the nearest to 0.1? (a) -3/5 (b) -2 (c) -0.041 (d) 0.1 d What is the nearest to 0.7 in -5, -2/7, 2/21, -2/19? 2/21 Which is the nearest to -2/3? (a) 2 (b) -2/19 (c) -1/2 c What is the nearest to 1/2 in -1/2, 0.4, 0.3, -5? 0.4 What is the closest to 1 in -5, 3, -1/3, -0.1? -0.1 Which is the nearest to 0.1? (a) -7/6 (b) -4 (c) -0.3 c Which is the closest to -1? (a) -17 (b) 1/2 (c) -0.5 (d) 1/4 c What is the closest to -0.1 in -0.8, 4, 0? 0 What is the nearest to -1 in 23, -0.6, -1/2, -0.2? -0.6 What is the nearest to 0.17 in 0, -1/9, 2, -1? 0 Which is the closest to 3? (a) 0 (b) -5 (c) 70 a What is the closest to -18 in 0, -1, 4, 0.4? -1 What is the nearest to 0.1 in 0.1, 79, 3? 0.1 Which is the closest to 1? (a) 0 (b) -4/7 (c) 0.079 (d) -1 c What is the closest to 1 in 0.3, -0.03, -0.3? 0.3 What is the closest to 3 in -0.1, 17, -5, 3? 3 Which is the closest to 1? (a) -0.2 (b) 2 (c) 2/9 (d) 0.08 c Which is the nearest to -3.7? (a) 4 (b) 46 (c) -4 c What is the closest to 0.2 in 1, 2/31, 5, -0.5? 2/31 What is the nearest to -1 in -18/17, -0.4, 1? -18/17 What is the nearest to 36/5 in -3, -6, -1/4, 3? 3 Which is the nearest to -2? (a) -12 (b) 1 (c) -1/152 c What is the nearest to -12 in -2/13, 2/9, -580? -2/13 Which is the closest to 6/7? (a) 3 (b) 4 (c) 0.2 c What is the closest to -15 in 0.4, 31, -5, 0.5? -5 What is the nearest to -3 in 34, 2, 0.1? 0.1 What is the nearest to 7 in -0.2, -1, 4, -5? 4 Which is the closest to 0? (a) 0.08 (b) 1/3 (c) 0.4 a Which is the nearest to 6? (a) 5/3 (b) -5/6 (c) 5 (d) 1/3 c Which is the closest to 1? (a) 2 (b) -0.4 (c) 1 (d) 2/33 c What is the nearest to 2/7 in -4, 4, 0.5, 207? 0.5 What is the closest to -24 in 0.1, -0.1, 10, -3? -3 Which is the nearest to -3? (a) -1/6 (b) -4 (c) 279 b Which is the nearest to 2? (a) 0.5 (b) -1/4 (c) 2 c What is the closest to -0.5 in -0.5, 2/5, -0.2, 21? -0.5 Which is the closest to 91? (a) -1/3 (b) -0.3 (c) -2 b Which is the closest to -1? (a) 0.099 (b) 8 (c) 0 c What is the closest to 3 in 0, -0.5, 0.03, 1/3? 1/3 What is the nearest to -0.1 in -0.126, -13, 0.2? -0.126 Which is the closest to 2/3? (a) 0.2 (b) 5 (c) -0.1 (d) -1 a What is the closest to 2 in -14, -5, -5/3, 3.1? 3.1 What is the closest to 1 in 0.1, 2/7, 3/2? 3/2 What is the nearest to -0.36 in -5/13, -2/3, 0.5? -5/13 What is the nearest to 0.2 in 0.066, 0, 3? 0.066 What is the closest to 9 in 0.5, 1/4, 0.11, -3? 0.5 What is the nearest to 0 in 2/9, -0.22, -2/3? -0.22 Which is the nearest to 7? (a) -2 (b) -1/4 (c) 1 c Which is the nearest to 2? (a) -45 (b) 0.2 (c) 1 c Which is the nearest to 98/3? (a) -2/5 (b) 5 (c) 1 b Which is the nearest to 0? (a) 7 (b) 8 (c) 12 a What is the closest to -0.1 in 0.352, -1, 1/11? 1/11 Which is the nearest to 1/5? (a) 2/11 (b) -1/17 (c) 1/12 (d) -0.4 a Which is the nearest to 1? (a) 0 (b) -0.6 (c) 4/9 (d) 4 c What is the closest to -1 in -0.3, -24, -10, -2/5? -2/5 What is the nearest to 2/5 in 0.1, 1, 2/5, -0.1? 2/5 Which is the closest to 2? (a) -4.42 (b) -0.5 (c) -2/5 (d) 2/3 d What is the closest to -3/5 in 0.5, -2, 5/6, -2/11? -2/11 What is the nearest to 22 in -1, -3, -5, -2? -1 What is the closest to -35 in 5, -0.2, -1? -1 Which is the closest to -0.1? (a) 4 (b) 0.04 (c) 46 b What is the nearest to -2/7 in 24, -3, -16, 0? 0 Which is the nearest to 2? (a) -1/11 (b) 0 (c) 22 b What is the closest to 0 in 4, -5, -0.1, -3/7? -0.1 What is the closest to 52 in -3, -4/3, 3/8? 3/8 Which is the nearest to 0? (a) -2 (b) 2/15 (c) -1/3 (d) 56 b Which is the nearest to -0.1? (a) -1/2 (b) -39/2 (c) -2/3 (d) -0.4 d What is the nearest to -3/4 in -2/3, -2, -6, -0.3? -2/3 What is the closest to -11/8 in 0.3, -1/3, -0.4? -0.4 Which is the closest to 0? (a) -0.3 (b) -2 (c) -0.03 c Which is the closest to -4? (a) 3 (b) -0.37 (c) -4 c Which is the nearest to 0.4? (a) -1 (b) -1/15 (c) -6 b Which is the nearest to 0.1? (a) 0.9 (b) -6 (c) -3/4 a What is the nearest to 0.1 in 0.2, -12/7, -0.1, -1/4? 0.2 What is the nearest to 1 in -0.03, -1, -16? -0.03 What is the nearest to 23 in -1/15, 0, 1? 1 What is the nearest to -1/1077 in 4, 0.1, 3? 0.1 What is the nearest to 10 in 2/7, -2/5, -3? 2/7 Which is the nearest to -0.9? (a) 0.3 (b) -3 (c) -2 c What is the nearest to -1 in 19/3, -18, 0.3? 0.3 What is the nearest to 1 in -5, -0.18, -0.02? -0.02 What is the close
{ "pile_set_name": "DM Mathematics" }
x - 5 What is the v'th term of -40, -108, -204, -328? -14*v**2 - 26*v What is the y'th term of 724, 730, 742, 760, 784? 3*y**2 - 3*y + 724 What is the q'th term of 374, 372, 370? -2*q + 376 What is the w'th term of 9, 33, 75, 135? 9*w**2 - 3*w + 3 What is the w'th term of 148, 299, 450, 601, 752, 903? 151*w - 3 What is the j'th term of -111, -372, -807, -1416, -2199? -87*j**2 - 24 What is the n'th term of 92, 79, 58, 29, -8, -53? -4*n**2 - n + 97 What is the a'th term of 1593, 1603, 1613? 10*a + 1583 What is the l'th term of 4, -4, -18, -38? -3*l**2 + l + 6 What is the r'th term of 57, 67, 101, 171, 289, 467? 2*r**3 - 4*r + 59 What is the g'th term of -313, -544, -775? -231*g - 82 What is the n'th term of 1598, 3200, 4802? 1602*n - 4 What is the a'th term of 105, 103, 101, 99? -2*a + 107 What is the d'th term of -5, -12, -29, -62, -117? -d**3 + d**2 - 3*d - 2 What is the b'th term of -14, -27, -40, -53, -66, -79? -13*b - 1 What is the y'th term of -614, -612, -610, -608? 2*y - 616 What is the c'th term of 6, -11, -58, -141, -266, -439, -666? -c**3 - 9*c**2 + 17*c - 1 What is the p'th term of -762, -1526, -2290, -3054, -3818? -764*p + 2 What is the r'th term of 49, 79, 99, 103, 85? -r**3 + r**2 + 34*r + 15 What is the m'th term of 32, 17, 2, -13, -28? -15*m + 47 What is the v'th term of -242, -460, -676, -890, -1102? v**2 - 221*v - 22 What is the t'th term of 17, 24, 41, 74, 129? t**3 - t**2 + 3*t + 14 What is the v'th term of -2, -4, -8, -14? -v**2 + v - 2 What is the x'th term of 83, 101, 119, 137? 18*x + 65 What is the c'th term of -8024, -8023, -8022, -8021, -8020, -8019? c - 8025 What is the s'th term of 839, 847, 867, 905, 967? s**3 + s + 837 What is the h'th term of -54, -139, -268, -447, -682, -979, -1344, -1783? -h**3 - 16*h**2 - 30*h - 7 What is the a'th term of -13, -44, -99, -184, -305? -a**3 - 6*a**2 - 6*a What is the g'th term of -52, -86, -158, -280, -464? -2*g**3 - 7*g**2 + g - 44 What is the v'th term of -10964, -10966, -10968, -10970? -2*v - 10962 What is the n'th term of -16, -16, -4, 26, 80, 164? n**3 - 7*n - 10 What is the o'th term of 35, 32, 25, 14, -1, -20? -2*o**2 + 3*o + 34 What is the m'th term of -20, -42, -64, -86, -108? -22*m + 2 What is the w'th term of -921, -919, -917, -915, -913, -911? 2*w - 923 What is the o'th term of 58, 59, 62, 67, 74? o**2 - 2*o + 59 What is the n'th term of 23, 41, 63, 89, 119, 153? 2*n**2 + 12*n + 9 What is the k'th term of 85, 173, 269, 379, 509, 665, 853, 1079? k**3 - 2*k**2 + 87*k - 1 What is the x'th term of -11, -25, -37, -47, -55, -61? x**2 - 17*x + 5 What is the l'th term of -1, 2, 19, 62, 143, 274, 467? 2*l**3 - 5*l**2 + 4*l - 2 What is the h'th term of -25, -54, -79, -100? 2*h**2 - 35*h + 8 What is the c'th term of 74, 59, 46, 35, 26, 19, 14? c**2 - 18*c + 91 What is the i'th term of 8508, 8507, 8506, 8505, 8504, 8503? -i + 8509 What is the v'th term of 73, 149, 259, 409, 605, 853, 1159, 1529? v**3 + 11*v**2 + 36*v + 25 What is the p'th term of 4254, 8492, 12720, 16932, 21122, 25284, 29412? -p**3 + p**2 + 4242*p + 12 What is the g'th term of 16, 12, 6, -8, -36? -g**3 + 5*g**2 - 12*g + 24 What is the r'th term of 74, 81, 92, 107, 126? 2*r**2 + r + 71 What is the h'th term of -1292, -2594, -3896? -1302*h + 10 What is the y'th term of 301, 286, 261, 226? -5*y**2 + 306 What is the t'th term of 865, 1741, 2617, 3493? 876*t - 11 What is the o'th term of -11, -26, -43, -62, -83, -106, -131? -o**2 - 12*o + 2 What is the r'th term of 1515, 1516, 1527, 1554, 1603, 1680? r**3 - r**2 - 3*r + 1518 What is the l'th term of 3420, 13682, 30786, 54732, 85520, 123150? 3421*l**2 - l What is the v'th term of -150, -160, -182, -222, -286, -380? -v**3 - 3*v - 146 What is the b'th term of -257, -255, -259, -275, -309? -b**3 + 3*b**2 - 259 What is the h'th term of 223, 235, 247? 12*h + 211 What is the n'th term of -17, -37, -57, -77, -97, -117? -20*n + 3 What is the m'th term of -317, -322, -341, -380, -445, -542, -677, -856? -m**3 - m**2 + 5*m - 320 What is the i'th term of -90, -160, -198, -198, -154, -60, 90, 302? i**3 + 10*i**2 - 107*i + 6 What is the u'th term of 16, 29, 46, 67, 92, 121? 2*u**2 + 7*u + 7 What is the d'th term of 67, 131, 197, 265? d**2 + 61*d + 5 What is the w'th term of -134, -120, -88, -32, 54, 176, 340? w**3 + 3*w**2 - 2*w - 136 What is the h'th term of -15, -30, -57, -102, -171? -h**3 - 8*h - 6 What is the c'th term of -69, 44, 349, 942, 1919, 3376, 5409? 16*c**3 + c - 86 What is the h'th term of 35, 77, 125, 179, 239, 305? 3*h**2 + 33*h - 1 What is the g'th term of -24, 11, 70, 153, 260? 12*g**2 - g - 35 What is the y'th term of -65, -143, -221, -299, -377, -455? -78*y + 13 What is the c'th term of -458, -463, -468, -473, -478, -483? -5*c - 453 What is the j'th term of 5, -31, -89, -181, -319, -515, -781, -1129? -2*j**3 + j**2 - 25*j + 31 What is the l'th term of -20, -8, 4, 16, 28? 12*l - 32 What is the w'th term of 118, 121, 126, 133, 142, 153, 166? w**2 + 117 What is the u'th term of -331, -327, -321, -313, -303? u**2 + u - 333 What is the i'th term of 232, 475, 718? 243*i - 11 What is the l'th term of 937, 1878, 2819? 941*l - 4 What is the l'th term of 623, 630, 637, 644, 651? 7*l + 616 What is the x'th term of 1312, 1319, 1338, 1375, 1436, 1527, 1654, 1823? x**3 + 1311 What is the y'th term of -230, -232, -234, -236, -238? -2*y - 228 What is the r'th term of 238, 184, 94, -32, -194, -392? -18*r**2 + 256 What is the g'th term of 44, 70, 96, 122? 26*g + 18 What is the v'th term of -49, -169, -369, -649, -1009, -1449? -40*v**2 - 9 What is the z'th term of 110, 438, 990, 1772, 2790, 4050, 5558, 7320? z**3 + 106*z**2 + 3*z What is the s'th term of -920, -919, -916, -911, -904, -895, -884? s**2 - 2*s - 919 What is the j'th term of -28, -130, -300, -538, -844, -1218, -1660? -34*j**2 + 6 What is the u'th term of -146, -294, -442, -590? -148*u + 2 What is the b'th term of 6, 9, 8, 3, -6, -19? -2*b**2 + 9*b - 1 What is the f'th term of -9, -12, -15, -18? -3*f - 6 What is the q'th term of 230, 231, 232, 233, 234? q + 229 What is the o'th term of 16, 36, 66, 106, 156? 5*o**2 + 5*o + 6 What is the x'th term of 173, 177, 177, 173, 165? -2*x**2 + 10*x + 165 What is the z'th term of 41, 37, 45, 77, 145, 261, 437, 685? 2*z**3 - 6*z**2 + 45 What is the a'th term of 431, 858, 1287, 1718, 2151? a**2 + 424*a + 6 What is the y'th term of 239, 209, 179, 149, 119, 89? -30*y + 269 What is the a'th term of 48, 94, 140, 186? 46*a + 2 What is the n'th term of -4465, -4467, -4469, -4471? -2*n - 4463 What is the o'th term of 126, 253, 380, 507, 634? 127*o - 1 What is the i'th term of 159, 317, 475, 633, 791, 949? 158*i + 1 What is the h'th term of 147, 301, 457, 615, 775, 937, 1101? h**2 + 151*h - 5 What is the h'th term of -1872, -3744, -5616? -1872*h What is the s'th term of -159, -290, -421, -552? -131*s - 28 What is the j'th term of -57, -110, -159, -204, -245? 2*j**2 - 59*j What is the w'th term of -115, -245, -373, -499, -623? w**2 - 133*w + 17 What is the x'th term of 2715, 2721, 2729, 2739, 2751, 2765? x**2 + 3*x + 2711 What is the h'th term of -981, -980, -979, -978? h - 982 What is the o'th term of 32, 31, 20, -7, -56, -133, -244, -395? -o**3 + o**2 + 3*o + 29 What is the n'th term of 48, 44, 44, 54, 80, 128, 204? n**3 - 4*n**2 + n + 50 What is the f'th term of 6, 31, 80, 159, 274, 431, 636? f**3 + 6*f**2 - 1 What is the z'th term of -57, -104, -163, -240, -341, -472? -z**3 - 40*z - 16 What is the g'th term of -2, 17, 48, 91, 146? 6*g**2 + g - 9 What is the o'th term of -38, -38, -46, -68, -110, -178, -278, -416? -o**3 + 2*o**2 + o - 40 What is the y'th term of 1793, 1795, 1797, 1799, 1801? 2*y + 1791 What is the n'th term of 4198, 8399, 12600, 16801, 21002? 4201*n - 3 What is the z'th term of -3, -39, -109, -219, -375? -z**3 - 11*z**2 + 4*z + 5 What is the z'th term of 53, 44, 33, 20, 5, -12? -z**2 - 6*z + 60 What is the r'th term of 100, 193, 284, 373? -r**2 + 96*r + 5 What is the o'th term of -219, -437, -655? -218*o - 1 What is the p'th term of 38, 76, 114, 152, 190, 228? 38*p What is the y'th term of 206, 209, 214, 221, 230? y**2 + 205 What is the o'th term of 17, 54, 75, 50, -51, -258, -601? -5*o**3 + 22*o**2 + 6*o - 6 What is the u'th term of 73, 209, 437, 757, 1169, 1673? 46*u*
{ "pile_set_name": "DM Mathematics" }
1 - 11 = 0. Suppose o - 120 = -2*o. Suppose 0 = -i*r - r + o. What is the greatest common divisor of r and 30? 10 Let y(v) = 2*v**3 - v**2 + 3*v - 1. Let i be y(2). Let z = i - 8. Let j be 3 + -5 + -1 + 9. What is the highest common factor of j and z? 3 Let z = 21 + -19. Let o be (-27)/(4/((-8)/3)). Suppose 3*l - 12 - o = 0. What is the greatest common factor of l and z? 2 Let j = 155 + -106. Calculate the highest common divisor of 49 and j. 49 Suppose 7*q - 2*q + 4*y - 700 = 0, 3*q = -y + 427. Calculate the highest common factor of q and 16. 16 Let o(s) = -s**2 - 12*s - 16. Let c be o(-4). What is the greatest common divisor of c and 112? 16 Suppose 16 = j + 4*r, 8 = 5*j - 0*r - 4*r. Let i be 1*9/6*j. Suppose 26 = 2*b - 5*a, b + 1 = -0*b - a. What is the greatest common divisor of b and i? 3 Let s = -50 - -27. Let t = s - -38. Calculate the greatest common factor of t and 45. 15 Suppose -12 = -2*x - 5*m, -4*x = 4*m - 13 - 11. Let o be (x/1)/((-6)/(-4)). What is the highest common divisor of o and 32? 4 Suppose 38 = q - 2. Let j = -47 + 107. Calculate the greatest common divisor of q and j. 20 Let k = 1 - -2. Let s be -3 + (1 + 92)/k. Calculate the highest common divisor of s and 140. 28 Suppose -3*n - 9 = 0, -4*s - 2*n + 19 = -3*n. Suppose -5*d + 6*d = s*v - 97, 0 = 5*v - 3*d - 116. What is the greatest common factor of v and 10? 5 Suppose -432 = -3*t - t. Calculate the greatest common divisor of 72 and t. 36 Let k(w) = w**2 + 19*w + 29. Let z be k(-18). Let v = 16 - 5. Calculate the greatest common factor of z and v. 11 Let t(p) = p**3 + 7*p**2 - 8*p + 5. Let m be t(-8). Suppose m*f - 5 - 145 = 0. What is the greatest common divisor of f and 15? 15 Let g = 70 + -49. Calculate the greatest common divisor of g and 21. 21 Suppose 18 + 7 = 5*o. Let k = o - 3. Calculate the highest common factor of k and 14. 2 Let q be (5*(-3)/(-12))/((-7)/(-84)). Let g(o) = o - 1. Let a be g(6). What is the highest common factor of q and a? 5 Let d = -10 + -1. Let g = 3 - d. What is the greatest common divisor of 28 and g? 14 Let s be 17 + (-2 + 3)*-2. Let j be (-3)/15 - (-183)/s. Let f be (42/(-5))/(1/(-10)). What is the highest common factor of j and f? 12 Let v be (-921)/(-12) - (-2)/8. Suppose -2*g = 2*g - 44. What is the highest common divisor of g and v? 11 Let u be (29/2)/((-3)/(-6)). Let p = u + 19. Calculate the highest common factor of 8 and p. 8 Let o be 15/9*6/2. Suppose 3*n - o*y = 393, -y = 3*y - 12. Let f be (1/1)/((-1)/(-17)). What is the highest common divisor of n and f? 17 Let a(r) = 17 + 0*r - r - 5. Let g be a(9). Suppose 2*j = -g*j + 130. Calculate the highest common divisor of j and 39. 13 Suppose -3*c + 13 = 1. Suppose 2*s = -4*a + 142, -37 = -a - s + 2*s. What is the greatest common factor of a and c? 4 Suppose -45 = -3*d + 5*f, 0 = -2*d - 2*d - 4*f + 28. What is the highest common factor of d and 90? 10 Let m be (-4)/10 + (-312)/(-30). Calculate the greatest common factor of 25 and m. 5 Suppose 0 = -16*h + 113 + 255. Calculate the highest common factor of 46 and h. 23 Suppose 0 = -5*w - 2*j - 132, 2*w - 2 = 4*j - 50. Let u = w + 37. Calculate the greatest common factor of 77 and u. 11 Let k be (2/(-4))/(3/(-36)). Let f(q) = -q + 8. Let v be f(k). Calculate the greatest common divisor of v and 2. 2 Suppose -2*h - 6 = -2*s, -4*s - s + 3*h + 5 = 0. Let r = s + 4. What is the highest common divisor of 8 and r? 2 Let x = 351 - 343. Let b(v) = v**2 - 5*v - 5. Let i be b(6). Calculate the highest common factor of i and x. 1 Suppose 2*z = -5*y + 10, 5*y - 3*z + z = 30. Calculate the greatest common factor of 10 and y. 2 Suppose -836 = -2*w + 6. Let v = 613 - w. What is the greatest common divisor of v and 24? 24 Suppose -5*i - 160 = -3*j, 3*i + 0 = -6. What is the greatest common factor of j and 10? 10 Let f be (-4*3)/(-2) + -2. Suppose 0 = 2*k - f*n + 92, -k - k - 2*n = 62. Let y be 8/k - 184/(-18). Calculate the greatest common factor of 25 and y. 5 Suppose 4*x - 2*f - 10 = 0, -x + 6*x - 40 = -3*f. What is the greatest common divisor of x and 5? 5 Let h = 67 - -9. Let q = h + 65. Let x = q - 93. What is the highest common divisor of x and 6? 6 Let q be -2*4/(-24) - 280/(-15). Calculate the greatest common divisor of 38 and q. 19 Suppose l - 4*r - 15 = -2, 13 = 2*l + 5*r. Let z be 6/63*l*21. Calculate the highest common divisor of z and 72. 18 Let m = -72 + 160. What is the greatest common divisor of m and 22? 22 Suppose -4*r - 5*g = -3*g - 100, 4*r = g + 112. Let x = -20 + r. What is the highest common divisor of 7 and x? 7 Suppose 0 = -y - 0 + 11. Suppose -y + 51 = -4*n. Let m be (-4)/n + 1269/15. What is the highest common factor of m and 17? 17 Let m = -133 - -263. Calculate the greatest common divisor of 52 and m. 26 Let y(q) = -12*q + 96*q - 8*q. Let x be y(5). Let u be x/16 + 2/8. What is the greatest common factor of 3 and u? 3 Suppose k + 4*u = u + 5, 0 = -5*k - 2*u + 12. Suppose 0 = 2*v + k*v. Suppose v = 2*b + 3*b - 75. What is the greatest common factor of 105 and b? 15 Let b(g) = -3*g + 24. Let x(a) = 7*a - 49. Let i(p) = 5*b(p) + 2*x(p). Let r be i(9). What is the greatest common factor of r and 91? 13 Suppose -2*b = -94 - 236. What is the greatest common factor of b and 66? 33 Let b = -10 - -20. Let k = -2 - -4. Suppose -54 = -k*n - 4. Calculate the greatest common factor of b and n. 5 Suppose 2*z + 3*t = 449 + 292, 5*z + t - 1820 = 0. Calculate the greatest common divisor of 33 and z. 33 Suppose 0 = -3*m + 4*u - 12, 0*m + 5*m - 2*u + 6 = 0. Suppose 2*o - 1 + 3 = m. Let h = o - -6. Calculate the highest common divisor of h and 35. 5 Let y(q) = q**2 + 7. Let g be y(-7). Calculate the greatest common factor of g and 8. 8 Let z be 0 + 99/((-9)/(-3)). Suppose -5*l = z - 108. Calculate the highest common divisor of l and 120. 15 Let w(q) = -2*q + 6. Let n be w(-3). Suppose 161 = 4*k - 287. Let l = 220 - k. What is the highest common factor of n and l? 12 Let z be 76/3 - 8/24. Suppose -o = 2*f + f - z, -3*o - 5*f = -71. Calculate the greatest common factor of 88 and o. 22 Let o(u) = -12*u + 1. Let b be o(-10). Suppose 0 = -5*g + b - 41. What is the greatest common divisor of g and 80? 16 Let z = 25 + 1. What is the greatest common divisor of z and 39? 13 Let o be (-3 - -3)/(2 - 1). Suppose -3*a = 5*n, o = -2*n + 2 - 8. Suppose -y - 2*u + 6 = 2*u, -y - 5*u = -a. What is the greatest common divisor of y and 90? 10 Let v = -3 - 0. Let q = v - -63. What is the greatest common factor of q and 150? 30 Suppose 2*r + 60 = 4*x, r - 29 = -5*x + 32. Calculate the highest common divisor of 65 and x. 13 Let b(n) = -n**2 + 5*n + 1. Let v be b(5). Let m be (3/(-9))/(2/(-6)). Calculate the highest common factor of v and m. 1 Let q(n) = n**2 + 5*n - 4. Let c be q(3). Suppose -35 + 135 = 2*b. What is the highest common divisor of c and b? 10 Suppose 13*s = 9*s + 8. What is the highest common divisor of 22 and s? 2 Suppose 68 = 3*a - 4*j, -2*a - 12 = -2*j - 60. Calculate the highest common factor of a and 28. 28 Let h(k) = k**3 - 2*k**2 - 5*k. Let x be h(5). Let t = -9 - -19. Suppose -p = p - t. Calculate the greatest common factor of p and x. 5 Let z(w) = -40*w**3 - w**2 - 2*w - 1. Let a be z(-1). What is the greatest common divisor of 280 and a? 40 Let v(g) = -2 + 8*g - g**2 + 5 + 0*g**2. Let y be v(8). Let h = 5 - -19. Calculate the highest common factor of y and h. 3 Let y(a) = 3*a**2 - 3*a - 4. Let r be y(4). Let c(d) = d**2 - 2*d + 5. Let g be c(5). Suppose -z - 4*z = -g. Calculate the highest common divisor of r and z. 4 Let j = 7 - 5. Let r be 18/((-4)/j*-1). Calculate the highest common factor of r and 3. 3 Let p(i) be the second derivative of i**3/6 + 9*i**2/2 + i. Let d be p(-7). Let c be -12*2/(-8)*2. Calculate the greatest common divisor of c and d. 2 Suppose -m + 4 = -8. Let u be (84/14)/(6/4). Calculate the greatest common factor of m and u. 4 Let d(c) = 2*c**2 + 1 + c**3 + 3*c + c - 6*c**2. Let k be d(4). Calculate the highest common factor of 187 and k. 17 Let q = 57 + -33. Let w be (28/8)/(4/q). What is the greatest common divisor of 168 and w? 21 Let h = -167 + 171. Calculate the highest common divisor of h and 4. 4 Suppose 54 = 9*n - 6*n. Let u = -9 + 5. Let v be (1 - 0 - u) + 1. Calculate the highest common divisor of v and n.
{ "pile_set_name": "DM Mathematics" }
common denominator of h and 48/11. 77 Let k = 5112/7 + -727. Let o(x) = -2*x. Let w be o(-8). Calculate the common denominator of k and 84/(-80)*w/(-6). 35 Suppose -21*c + 14*c = -84. Calculate the least common multiple of 6 and c. 12 Let p = 7110/11 + -28481/44. What is the common denominator of -19/12 and p? 132 Let k = -35 - -68. Calculate the least common multiple of 15 and k. 165 Let v = -3 + -5. What is the common denominator of -111/22 and (-4)/v*59/7? 154 Let y = -106 - -57. Let a(f) = -f**3 - f**2 - f + 3. Let v be a(0). Let i = v + y. Calculate the common denominator of -91/2 and i. 2 Let p = 6 - -4. Let d = p - -8. Suppose 0 = 4*u - 5*y - 77, 0*u + 4*y - 68 = -4*u. Calculate the least common multiple of u and d. 18 Suppose 14 = -4*x + 2*y, -2*x + 7*x + 4*y = 15. Calculate the common denominator of ((-413)/63)/((-2)/(-6)) and x/(9/(-68)) + -1. 9 Let m be 21/(-4)*(19 - 3). Calculate the common denominator of (-4)/(-14) + 10/m and 39/7. 42 Let i = -6 + 12. Suppose i - 14 = -4*d. Calculate the smallest common multiple of (-4)/(1*2/(-10)) and d. 20 Suppose 3*f - 25 = -5*j, -4*j + 8 = -2*f - 12. Suppose f*a + 66 = -3*a. Let u = -2636/1233 + -42/137. Find the common denominator of a and u. 9 What is the smallest common multiple of (-990)/(-54) - (-1)/(-3) and 4? 36 Suppose -3*q = -0*q - 21. Let p(z) = -z**3 + 5*z**2 + 7*z + 10. Find the common denominator of p(q) and -48. 1 Suppose 5*n - 10 = 4*c - 2*c, -2*c - 5*n + 30 = 0. Suppose u = c, -3*y + 48 = -7*y + 4*u. Let i = y + 19. Calculate the least common multiple of i and 22. 132 Suppose -3 = -3*g + 3. Suppose 7*u - 40 = 2*u. Calculate the smallest common multiple of g and u. 8 Let h(w) = w**2 + 7*w - 2. Let x(b) = b**2 + 5*b - 7. Let n be x(-5). Let u be h(n). Let g = 12 + u. Calculate the smallest common multiple of g and 20. 20 Find the common denominator of 4/(32/282)*2/54 and -75/22. 396 Let m = -180 + 382. Calculate the common denominator of 2/(-7) + 1850/252 and (m/(-3))/(1 + 3). 18 Suppose -a - 176 = 3*a + 2*n, -4*n = 2*a + 76. Find the common denominator of a and (112/(-147))/((-6)/(-45)). 7 Find the common denominator of ((-66)/(-10))/((-10)/(-25)) and -25/9. 18 Let g = -208/7 - -22. Find the common denominator of 167/42 - (-6)/36 and g. 7 Let o be 2/2*11*2. Suppose -2*c - 2 = -o. Calculate the least common multiple of c and (-1 + -2)/((-3)/4). 20 Let w be (-9300926)/(-396) + 10/45. Let n = w + -23483. Let p = 2/2871 + 238273/28710. Find the common denominator of p and n. 110 Suppose 0 = o - 19 + 4. Calculate the common denominator of o and 18. 1 What is the common denominator of 43/2 and (-4)/(-14) - (-4710)/1400? 20 Suppose 5*z = -4*o + 14, -o - 3 = z - 5. Suppose -z*t = -t - 15. What is the lowest common multiple of t and 2? 6 Let c = -2/209 - -850/1463. What is the common denominator of (-2)/(-6) + (-1903)/(-726) and c? 154 What is the least common multiple of (4/7)/((-16)/(-56)) and 18? 18 Let c = -7 - -11. Let v = 1 - 0. Let n = v - -2. Calculate the lowest common multiple of n and c. 12 Calculate the least common multiple of 210 and ((-22)/(-8))/((1*-2)/(-16)). 2310 Suppose 2*t + 3*n - 29 = 0, -3*n + n = t - 14. Suppose 2*z - 13 = -5. Calculate the least common multiple of t and z. 16 Calculate the common denominator of (7 - 30)/(3 + 2) and -16/11. 55 Let c = -3 - -6. Suppose -7*a = -3*a + 96. Calculate the smallest common multiple of c and a*(-1)/3*1. 24 Let d(c) = -c + 91. Let x be d(0). Let a = 44 - x. What is the common denominator of a and (3/2)/(60/710)? 4 Let z = 66742/9 - 7424. Calculate the common denominator of 4 + 282/(-9) + 2 and z. 9 Let v(g) be the third derivative of 0 + 37/24*g**4 + g**2 + 0*g**3 + 0*g. Find the common denominator of v(-1) and -49/8. 8 Suppose 0 = 4*l - 0*i - i + 25, -4*l - 4*i = 40. What is the common denominator of 2/l - (-963)/(-252) and -59/14? 28 Let l(f) = -f**2 - 16*f - 14. Suppose -3*i = -2*s - 57, -5*i + 3*s + 38 = -57. Let g = i - 11. What is the least common multiple of l(-15) and g? 8 Suppose 12 = f - m + 1, -2*f + 26 = 2*m. What is the least common multiple of 4 and f? 12 Let v be (-2)/(-8) - 27/12. What is the lowest common multiple of v + 4 - 6/6 and 8? 8 Suppose 0*c - 107 = -c. Let f = 1036/9 - c. Calculate the common denominator of f and 13. 9 Let q = 768 - 3087/4. Calculate the common denominator of -121/20 and q. 20 Let k(x) = x**2 - 3*x - 1. Let l = 15 - 11. Let r be k(l). Suppose 0 = -2*i - 2*c, r*i + 5*c = -1 - 1. What is the least common multiple of 6 and i? 6 Let c = 98 + 2. Suppose -2*v - 3*v + c = 0. What is the least common multiple of 14 and v? 140 Let u = -94 - 16. Calculate the common denominator of 33/u*76/(-6) and 46/7. 35 Let r be (-1)/(1/(76/(-9))). Let p = 44/9 + r. What is the common denominator of p and 37/6? 6 Let r(q) = -3*q - 25. Suppose 3*o + 2*h + 33 = -0*h, -h = 5*o + 62. What is the least common multiple of 14 and r(o)? 14 Let w(f) = f**3 + 9*f**2 + 8*f + 11. Let h(k) = 5*k - 1. Calculate the smallest common multiple of h(2) and w(-8). 99 Let h = 13 + -8. Calculate the smallest common multiple of h and 11. 55 Let h = -11 + 6. Find the common denominator of 939/60 - (-2)/h and 35. 4 Let x = 2 + 5. Suppose -3*g + x = -5. What is the smallest common multiple of 11 and g? 44 Let n = -28789/15 - -1920. What is the common denominator of n and 137/30? 30 Suppose -1 = -5*o + 29. Suppose -5*g = o - 36. Calculate the lowest common multiple of g and 9. 18 Let r(f) = f**2 + 8*f + 13. Let g = 16 - 25. Suppose 4*w - 5 = 3. What is the least common multiple of w and r(g)? 22 Let h = -2/129 - -331/13029. What is the common denominator of 73/4 and h? 404 Suppose -4*q = -q. Suppose q = d - 2*d - 1. Find the common denominator of 45/14 and 79/2 + (d - -2). 14 Suppose -2*j - 4 = -10. Suppose 2*w - 9 = -d, -5*d = -0*w - 2*w + j. Calculate the least common multiple of 5 and d. 5 Let s = 38 + -27. Suppose 4 = 3*j - j. Let a = j + -1. Calculate the smallest common multiple of s and a. 11 Let d(h) = -h**2 - 7*h - 4. Let z(s) = s**2 - 7*s - 6. Let n be z(6). Let w be 3/n + 38/(-8). What is the least common multiple of d(w) and 12? 12 Let d = 3192 + -2122. Let o = -4365/4 + d. Find the common denominator of 73/10 and o. 20 Let f be ((-6)/(-8))/(1/688). What is the common denominator of 111/10 and f/(-16)*2/12? 40 Suppose -z + 4 = z, -c + 3*z + 20 = 0. Calculate the smallest common multiple of c and 6. 78 Let i = -2525/152 + 489/19. Calculate the common denominator of 107/6 and i. 24 Let x = -229/54 - -43/54. Find the common denominator of x and 3*(-3)/(-81)*1. 9 Let n(r) = -r**2 - 16*r - 21. Let a be n(-14). Find the common denominator of 37/7 and 2/(-18)*(a + -5). 63 Let f(d) = 1 - 4 - d - 3*d**3 - 6*d. Let i(u) = -u**3 - u**2 + 1. Let k(m) = f(m) - 4*i(m). Calculate the smallest common multiple of k(-5) and 5. 15 Suppose f + y = 3*f - 44, 3*f = 3*y + 72. Let c(d) = 3*d**2 - d - 2. Calculate the lowest common multiple of c(-2) and f. 60 Let d = 3 - 18. Let a = -13 - d. Calculate the least common multiple of 2 and a. 2 Suppose 5*j = 39 + 76. Let h = j + -15. Let s = 24 - 14. Calculate the least common multiple of s and h. 40 Let g = -2504665/5372 + -15/2686. Let s = g + 482. Calculate the common denominator of -2/5 and s. 20 Suppose -10 = -2*z + 10. What is the least common multiple of 6*-3*(-2)/4 and z? 90 Let k(y) = 8*y - 1. Suppose 0 = -a + 2*a - 3. Suppose 2*p + p + 2*z = a, -4*z = 4*p. Calculate the lowest common multiple of p and k(1). 21 Let h be 3/(-6) - (-23)/(-2). Let x = -5 - h. What is the smallest common multiple of x and 9? 63 Suppose -3*f = -f. Suppose -60 = -3*r - 2*i - f*i, -5*i + 7 = r. What is the smallest common multiple of r and 62? 682 Calculate the least common multiple of 44 and 36 + (-25)/(-5) + -1. 440 Let o = 8401/820 + 1/205. Find the common denominator of o and 139/6. 12 Let l(n) = -5*n**3 + 3*n**2 + 3*n - 4. Let q be l(4). Suppose 0*t = -4*t - 24. What is the lowest common multiple of 6 and t/10 - q/40? 6 Let w(n) = -n**3 - 4*n**2 - 5*n - 4. Let b be w(-3). Suppose -6 + 24 = b*o. What is the smallest common multiple of 5 and o? 45 Calculate the least common multiple of (-14)/7 + (0 - -5) and 4. 12 Find the common denominator of (5*-14 - -1)/(-4) and 52/5. 20 Let u(t) be the first derivativ
{ "pile_set_name": "DM Mathematics" }
t are the prime factors of 850745? 5, 7, 109, 223 What are the prime factors of 942894? 2, 3, 19, 919 What are the prime factors of 361456? 2, 19, 29, 41 What are the prime factors of 1454345? 5, 290869 List the prime factors of 1088980. 2, 5, 54449 List the prime factors of 290216. 2, 36277 List the prime factors of 244193. 113, 2161 What are the prime factors of 254575? 5, 17, 599 What are the prime factors of 3863546? 2, 1931773 What are the prime factors of 475789? 475789 List the prime factors of 260987. 260987 List the prime factors of 568377. 3, 2339 List the prime factors of 1754013. 3, 43, 13597 List the prime factors of 480398. 2, 401, 599 List the prime factors of 34719. 3, 71, 163 List the prime factors of 1122825. 3, 5, 11, 1361 List the prime factors of 11334288. 2, 3, 7, 61, 79 List the prime factors of 451490. 2, 5, 13, 23, 151 What are the prime factors of 589539? 3, 41, 4793 What are the prime factors of 374037? 3, 124679 What are the prime factors of 32960147? 11, 2996377 List the prime factors of 845928. 2, 3, 31, 379 List the prime factors of 904855. 5, 7, 103, 251 What are the prime factors of 9874951? 9874951 List the prime factors of 239895. 3, 5, 1777 List the prime factors of 1138022. 2, 569011 What are the prime factors of 534968? 2, 7, 41, 233 List the prime factors of 7109145. 3, 5, 17, 9293 What are the prime factors of 3666172? 2, 113, 8111 List the prime factors of 8526197. 17, 263, 1907 List the prime factors of 7468154. 2, 37, 43, 2347 List the prime factors of 418915. 5, 7, 11969 What are the prime factors of 1364413? 257, 5309 What are the prime factors of 1029504? 2, 3, 7, 383 What are the prime factors of 124243? 7, 17749 What are the prime factors of 230077? 230077 What are the prime factors of 83730? 2, 3, 5, 2791 List the prime factors of 6835736. 2, 854467 What are the prime factors of 1932039? 3, 163, 439 List the prime factors of 408782. 2, 11, 17, 1093 What are the prime factors of 1484232? 2, 3, 61843 List the prime factors of 4915325. 5, 196613 List the prime factors of 18094770. 2, 3, 5, 107, 1879 What are the prime factors of 126917? 7, 18131 List the prime factors of 37440527. 23, 1627849 What are the prime factors of 20637227? 13, 31, 41, 1249 List the prime factors of 5892784. 2, 23, 67, 239 What are the prime factors of 1709319? 3, 569773 List the prime factors of 274717. 29, 9473 What are the prime factors of 4993115? 5, 998623 List the prime factors of 5328054. 2, 3, 29, 59, 173 What are the prime factors of 708001? 7, 14449 List the prime factors of 209719. 209719 What are the prime factors of 1446870? 2, 3, 5, 17, 2837 List the prime factors of 207973. 207973 List the prime factors of 583114. 2, 7, 41651 List the prime factors of 411546. 2, 3, 113, 607 List the prime factors of 153430. 2, 5, 67, 229 What are the prime factors of 936562? 2, 11, 42571 List the prime factors of 2838052. 2, 7, 101359 What are the prime factors of 533194? 2, 29, 317 List the prime factors of 58134. 2, 3, 9689 What are the prime factors of 757411? 139, 5449 What are the prime factors of 329292? 2, 3, 3049 List the prime factors of 10503390. 2, 3, 5, 19, 18427 List the prime factors of 524554. 2, 41, 6397 What are the prime factors of 1759272? 2, 3, 73303 List the prime factors of 18364188. 2, 3, 1530349 List the prime factors of 1042585. 5, 109, 1913 List the prime factors of 217044. 2, 3, 6029 List the prime factors of 12274449. 3, 11, 431, 863 List the prime factors of 67920. 2, 3, 5, 283 What are the prime factors of 219496? 2, 27437 List the prime factors of 619059. 3, 7, 41, 719 What are the prime factors of 236038? 2, 11, 10729 List the prime factors of 145045. 5, 29009 What are the prime factors of 769980? 2, 3, 5, 41, 313 What are the prime factors of 3860003? 7, 17, 163, 199 What are the prime factors of 44624? 2, 2789 List the prime factors of 37421148. 2, 3, 17, 183437 What are the prime factors of 17357265? 3, 5, 367, 1051 What are the prime factors of 2048274? 2, 3, 83, 457 What are the prime factors of 425839? 425839 What are the prime factors of 8838777? 3, 2946259 List the prime factors of 238066. 2, 119033 What are the prime factors of 181607? 181607 What are the prime factors of 107399? 211, 509 What are the prime factors of 10909748? 2, 2727437 List the prime factors of 1127741. 1127741 List the prime factors of 2498065. 5, 17, 29389 What are the prime factors of 489038? 2, 11, 22229 What are the prime factors of 6905190? 2, 3, 5, 29, 7937 What are the prime factors of 3336581? 107, 31183 List the prime factors of 150799. 11, 13709 What are the prime factors of 5256107? 79, 66533 List the prime factors of 610394. 2, 19, 16063 List the prime factors of 967033. 61, 83, 191 What are the prime factors of 2021460? 2, 3, 5, 7, 4813 What are the prime factors of 424996? 2, 11, 13, 743 What are the prime factors of 1979459? 151, 13109 What are the prime factors of 1582149? 3, 19, 41, 677 What are the prime factors of 37295654? 2, 11, 17, 99721 List the prime factors of 3915225. 3, 5, 17401 What are the prime factors of 105579? 3, 11731 List the prime factors of 5751. 3, 71 List the prime factors of 454597. 11, 13, 17 What are the prime factors of 1557378? 2, 3, 31, 2791 List the prime factors of 10925060. 2, 5, 546253 What are the prime factors of 69323? 181, 383 List the prime factors of 4089877. 11, 17, 21871 List the prime factors of 114621. 3, 13, 2939 List the prime factors of 1046329. 1046329 What are the prime factors of 322292? 2, 197, 409 List the prime factors of 2509476. 2, 3, 209123 List the prime factors of 2638481. 163, 16187 List the prime factors of 8083056. 2, 3, 19, 8863 List the prime factors of 71781. 3, 71, 337 List the prime factors of 12586208. 2, 19, 127, 163 List the prime factors of 665525. 5, 7, 3803 What are the prime factors of 966248? 2, 269, 449 What are the prime factors of 2221901? 11, 73, 2767 What are the prime factors of 360976? 2, 7, 11, 293 List the prime factors of 983257. 11, 89387 What are the prime factors of 558237? 3, 317, 587 List the prime factors of 358071. 3, 7, 17, 59 List the prime factors of 132610. 2, 5, 89, 149 What are the prime factors of 234675? 3, 5, 7, 149 List the prime factors of 5035353. 3, 89, 18859 What are the prime factors of 4999780? 2, 5, 249989 What are the prime factors of 11697188? 2, 263, 11119 List the prime factors of 4391087. 4391087 List the prime factors of 443150. 2, 5, 8863 What are the prime factors of 82170? 2, 3, 5, 11, 83 List the prime factors of 11991970. 2, 5, 17, 23, 3067 List the prime factors of 8993. 17, 23 List the prime factors of 2727657. 3, 303073 What are the prime factors of 190923? 3, 23, 2767 List the prime factors of 8985276. 2, 3, 271, 307 What are the prime factors of 19348038? 2, 3, 358297 What are the prime factors of 942854? 2, 11, 17, 2521 List the prime factors of 66580. 2, 5, 3329 List the prime factors of 1062446. 2, 7, 11, 6899 What are the prime factors of 1710420? 2, 3, 5, 29, 983 List the prime factors of 172438. 2, 7, 109, 113 List the prime factors of 13363570. 2, 5, 11, 121487 What are the prime factors of 207347? 7, 19, 1559 What are the prime factors of 590585? 5, 29, 4073 List the prime factors of 1840415. 5, 368083 List the prime factors of 38783. 38783 What are the prime factors of 703343? 281, 2503 List the prime factors of 6894638. 2, 3447319 What are the prime factors of 1543275? 3, 5, 19 What are the prime factors of 118265? 5, 7, 31, 109 What are the prime factors of 1725466? 2, 17, 19, 2671 List the prime factors of 8048201. 7, 164249 What are the prime factors of 887147? 67, 13241 What are the prime factors of 9819810? 2, 3, 5, 7, 11, 13, 109 What are the prime factors of 5711798? 2, 2855899 List the prime factors of 286394. 2, 143197 List the prime factors of 2887882. 2, 1443941 What are the prime factors of 186169? 83, 2243 What are the prime factors of 220555? 5, 44111 List the prime factors of 18035188. 2, 4508797 List the prime factors of 15713868. 2, 3, 883, 1483 What are the prime factors of 291621? 3, 11, 8837 What are the prime factors of 178229? 37, 4817 What are the prime factors of 240220? 2, 5, 12011 What are the prime factors of 296377? 296377 What are the
{ "pile_set_name": "DM Mathematics" }
a gram? 600 What is 577.7939um in nanometers? 577793.9 How many litres are there in 85263.19 millilitres? 85.26319 What is 6/5 of a microgram in nanograms? 1200 What is fourty-four fifths of a litre in millilitres? 8800 Convert 6039.752g to tonnes. 0.006039752 What is 7/6 of a year in months? 14 What is 3/25 of a centimeter in micrometers? 1200 What is 1.7098569s in hours? 0.00047496025 What is 19/4 of a litre in millilitres? 4750 What is 4.392318ml in litres? 0.004392318 How many micrograms are there in 3.884807 milligrams? 3884.807 What is 103568.871 hours in weeks? 616.481375 Convert 376.9082ng to milligrams. 0.0003769082 How many years are there in 3/5 of a millennium? 600 Convert 0.7753322 millilitres to litres. 0.0007753322 Convert 16.4334 centuries to millennia. 1.64334 What is 71/4 of a litre in millilitres? 17750 What is three eighths of a micrometer in nanometers? 375 What is 1/4 of a kilogram in grams? 250 What is 3/8 of a tonne in kilograms? 375 How many litres are there in 72467.85 millilitres? 72.46785 What is 11/2 of a century in months? 6600 Convert 37.78384 centuries to years. 3778.384 How many millilitres are there in 3/25 of a litre? 120 How many years are there in 9/10 of a century? 90 Convert 0.6276836ns to microseconds. 0.0006276836 What is 17/2 of a milligram in micrograms? 8500 How many millilitres are there in 5.214897l? 5214.897 What is 3/50 of a litre in millilitres? 60 What is 238.763 micrograms in grams? 0.000238763 Convert 27919.21us to nanoseconds. 27919210 How many years are there in 4.59828 months? 0.38319 How many years are there in 5/4 of a millennium? 1250 How many millilitres are there in 62.37645l? 62376.45 How many tonnes are there in 0.9801351mg? 0.0000000009801351 What is 7097.347 millilitres in litres? 7.097347 What is 120.1994 milliseconds in nanoseconds? 120199400 How many months are there in 46/5 of a decade? 1104 How many millilitres are there in 49/5 of a litre? 9800 What is 8/3 of a century in months? 3200 What is 35540.586ms in hours? 0.009872385 How many millilitres are there in 7/2 of a litre? 3500 What is 8.958928 weeks in microseconds? 5418359654400 What is 15/4 of a microgram in nanograms? 3750 How many decades are there in 18.607104 months? 0.1550592 How many grams are there in eleven tenths of a kilogram? 1100 How many seconds are there in 844435.6 microseconds? 0.8444356 How many millennia are there in 13.206198 months? 0.0011005165 How many seconds are there in 3.464222 microseconds? 0.000003464222 What is 39.71514mm in kilometers? 0.00003971514 What is 55/4 of a kilogram in grams? 13750 Convert 8800.728 millennia to years. 8800728 Convert 529935.9 weeks to hours. 89029231.2 What is 68.22873l in millilitres? 68228.73 How many millilitres are there in 146.4055l? 146405.5 What is 46/5 of a tonne in kilograms? 9200 How many months are there in 10/3 of a decade? 400 What is three tenths of a decade in months? 36 Convert 999760.6 kilometers to meters. 999760600 How many centimeters are there in 0.0637034um? 0.00000637034 What is 10/3 of a year in months? 40 How many grams are there in 7351.866 milligrams? 7.351866 How many months are there in 7/4 of a year? 21 What is 27/4 of a centimeter in micrometers? 67500 Convert 7.0495893s to days. 0.00008159246875 Convert 0.77548 days to microseconds. 67001472000 How many micrograms are there in 6/5 of a milligram? 1200 What is 11793.43368 seconds in weeks? 0.019499725 How many kilograms are there in eighteen fifths of a tonne? 3600 What is 99.87244 kilograms in micrograms? 99872440000 What is 26236.07 meters in centimeters? 2623607 What is fifteen quarters of a centimeter in micrometers? 37500 What is 0.9387207 meters in millimeters? 938.7207 What is 68263.14 nanometers in meters? 0.00006826314 What is 57/2 of a microgram in nanograms? 28500 What is 18/5 of a litre in millilitres? 3600 How many milligrams are there in 43/2 of a gram? 21500 How many meters are there in 11/4 of a kilometer? 2750 What is 1/4 of a minute in seconds? 15 How many millilitres are there in five quarters of a litre? 1250 What is 28/3 of a century in months? 11200 How many micrometers are there in fourty-nine fifths of a centimeter? 98000 What is 1/4 of a micrometer in nanometers? 250 How many nanometers are there in one quarter of a micrometer? 250 What is 32/5 of a microsecond in nanoseconds? 6400 How many millilitres are there in thirty-two fifths of a litre? 6400 What is 1/4 of a minute in milliseconds? 15000 Convert 0.2116077 kilograms to nanograms. 211607700000 What is 1/36 of a day in seconds? 2400 How many years are there in 55258.68 decades? 552586.8 How many micrometers are there in seven quarters of a centimeter? 17500 How many decades are there in 253.38927 months? 2.11157725 What is one twentieth of a gram in milligrams? 50 Convert 0.8280957 years to months. 9.9371484 What is 51.3122 millennia in months? 615746.4 What is 6/5 of a meter in millimeters? 1200 What is 2432.957 millilitres in litres? 2.432957 What is 0.6502348 nanometers in kilometers? 0.0000000000006502348 What is 21/2 of a milligram in micrograms? 10500 What is 45.79755 years in months? 549.5706 Convert 0.0135949ng to kilograms. 0.0000000000000135949 What is 1.316263mg in grams? 0.001316263 What is twenty-one fifths of a centimeter in millimeters? 42 How many millilitres are there in 6/5 of a litre? 1200 What is 11/4 of a litre in millilitres? 2750 How many micrograms are there in 1/4 of a milligram? 250 What is 27/2 of a millennium in centuries? 135 What is 9442.193l in millilitres? 9442193 How many centuries are there in 48/5 of a millennium? 96 Convert 157080.2 hours to nanoseconds. 565488720000000000 What is 3/5 of a meter in millimeters? 600 Convert 882961.5l to millilitres. 882961500 How many grams are there in seven eighths of a kilogram? 875 What is 196122.627 microseconds in days? 0.0000022699378125 What is twenty-nine sixths of a millennium in months? 58000 What is thirteen quarters of a second in milliseconds? 3250 What is 1/5 of a day in seconds? 17280 What is 0.7566971 grams in nanograms? 756697100 How many millimeters are there in 165.887cm? 1658.87 How many years are there in fourty-three quarters of a millennium? 10750 How many hours are there in 18.352635 minutes? 0.30587725 What is 26/5 of a week in minutes? 52416 What is 18/5 of a centimeter in millimeters? 36 How many decades are there in 13208.71 centuries? 132087.1 How many hours are there in 696.75849ms? 0.000193544025 What is twenty-one halves of a micrometer in nanometers? 10500 Convert 59.41809 nanometers to centimeters. 0.000005941809 Convert 21508.38mm to meters. 21.50838 Convert 88.75953 minutes to microseconds. 5325571800 How many centimeters are there in one fifth of a kilometer? 20000 What is 3/25 of a meter in millimeters? 120 How many micrometers are there in 21/5 of a millimeter? 4200 How many millilitres are there in 0.453062 litres? 453.062 How many milliseconds are there in 319082.3 weeks? 192980975040000 How many centimeters are there in twenty-one halves of a meter? 1050 What is one sixteenth of a kilometer in centimeters? 6250 What is fifteen quarters of a litre in millilitres? 3750 How many millilitres are there in 13/4 of a litre? 3250 Convert 92486.9 weeks to seconds. 55936077120 What is 10/7 of a week in minutes? 14400 How many micrometers are there in three fifths of a millimeter? 600 How many seconds are there in 6/5 of a hour? 4320 How many hours are there in 3626.595 days? 87038.28 What is 57/2 of a century in decades? 285 How many litres are there in 2.673215 millilitres? 0.002673215 How many years are there in 99.18948 millennia? 99189.48 How many millilitres are there in fourty-eight fifths of a litre? 9600 What is 59415.33km in nanometers? 59415330000000000 How many kilograms are there in 446.3998ng? 0.0000000004463998 How many hours are there in 12/7 of a week? 288 Convert 460.37376ms to weeks. 0.0000007612 Convert 58950.7 days to nanoseconds. 5093340480000000000 How many centimeters are there in seventeen halves of a meter? 850 Convert 9.856108 kilometers to millimeters. 9856108 How many hours are there in seven quarters of a day? 42 How many seconds are there in 33.46307 minutes? 2007.7842
{ "pile_set_name": "DM Mathematics" }
j be r/2 - (-2)/(-4). Suppose 3*f + 2*b = 62, 0 = 6*f - 4*f + 3*b - j. Does 11 divide f? True Let w(s) = -s**3 - 6*s**2 - 6*s - 3. Let g be w(-5). Suppose -3 = 2*t - 3*t. Suppose 5*k = -15, -3 = t*r + g*k + 3*k. Is r even? True Let l(c) = c - 3. Let h = 10 - 1. Is 2 a factor of l(h)? True Suppose -1140 = -11*m - 8*m. Does 15 divide m? True Let o(d) = -d**2 - 17*d + 6. Does 13 divide o(-9)? True Suppose 3 + 0 = g. Suppose -7*u + g*u = 48. Is ((-12)/(-10))/(u/(-320)) a multiple of 15? False Let n(b) = -11*b**3 + b**2 + 2*b. Let c be n(-2). Let m(r) = 22*r + 23. Let l be m(4). Suppose 4*o + 2*a - c = 0, -5*o - 4*a = -2*a - l. Is o a multiple of 14? False Suppose -9*t + 1600 = -t. Is 16 a factor of t? False Let f be -15*(24/10 - 0). Let w = -16 - -90. Let u = f + w. Is 11 a factor of u? False Let a be -2 - 4/((-8)/18). Suppose -a*k + 3*k = -60. Is 5 a factor of k? True Let b be 3/((-8)/(-5) + -1). Let l = -4 + b. Suppose 0 = -5*i + l + 49. Does 3 divide i? False Suppose 0 = -4*z - 6*t + t + 225, 4*z = -t + 237. Is z a multiple of 30? True Let w = -175 - -257. Does 12 divide w? False Suppose -2*q + 26 + 2 = 0. Let t = q + 28. Is 21 a factor of t? True Is (-134)/3*5/(10/(-3)) a multiple of 38? False Let m = 141 + -77. Does 23 divide m? False Let c = 123 - 80. Is c a multiple of 8? False Let z be ((-8)/10)/(2/(-20)). Suppose -s + 2*a = z, 6*a - a = 25. Is s a multiple of 2? True Is 4/(-26) - 342/(-26) a multiple of 10? False Let f(o) = o**2 + 3*o - 5. Let t = 13 + -9. Let g(h) = -2*h**2 - 6*h + 11. Let m(z) = t*g(z) + 9*f(z). Does 7 divide m(3)? False Suppose -4 = 5*t - 19. Suppose -t*r + 2*r + 13 = 0. Is 13 a factor of r? True Let k = 137 - 97. Is k a multiple of 8? True Let h be 2 - 4 - (0 + -2). Suppose 20 = -r + 4*r + 2*k, k - 4 = h. Suppose s + 19 = 4*m, -5*m - r*s + 14 = -2*s. Does 4 divide m? True Suppose -5*v = 2*r - 64, 5*r = 3*v - 8*v + 55. Is v a multiple of 5? False Suppose -6*f + 589 = -71. Is f a multiple of 19? False Let j be (-9 - (1 - 2)) + 2. Suppose -3*h = 5*b + 9, 2*b + 6 = -0*b. Does 6 divide (j + 0)/(h/(-2))? True Suppose 0 = 4*z - 0*z. Suppose 3*u - 63 - 25 = -2*i, u = z. Let o = i + -28. Is o a multiple of 7? False Does 10 divide (-10)/(-25)*(-400)/(-4)? True Let x(d) = -5*d**3 - 4*d**2 + 7*d - 4. Is x(-4) a multiple of 8? True Suppose b = -5, -2*i + b = -0*b - 305. Does 39 divide i? False Suppose -3*n - 18 + 75 = 0. Is 7 a factor of n? False Let s = 70 - -30. Is s a multiple of 25? True Let b(x) = 12*x + 7. Let i(v) = -v**2 - 5*v + 5. Let o be i(-5). Is 24 a factor of b(o)? False Suppose -h + 2 = -39. Is h a multiple of 9? False Suppose 13 = n - 2*v, 3*n - 12 = -2*v - 5. Suppose -n*p = 7*l - 3*l - 24, 5*l + 4 = -2*p. Does 4 divide p? True Let p = 16 - 12. Suppose -p*a - 15 = -9*a. Is a even? False Let q(d) = -d**3 + 9*d**2 - 6*d - 4. Is q(7) a multiple of 26? True Let a(m) = -m + 9. Let v be a(5). Suppose -3*r = -0*r, -v*y + 2*r = -112. Is 14 a factor of y? True Let k(m) be the second derivative of 7*m**5/10 + m**2/2 - 4*m. Is k(1) a multiple of 9? False Let p(y) = -y**3 - 7*y**2 + 2*y - 4. Let d(n) = n + 3. Let x be d(-3). Suppose x*s - s = 8. Is 17 a factor of p(s)? False Suppose -5*j + 2 = -3*b + 13, -4*b + 2*j = -10. Does 9 divide (-2)/(b*2/(-46))? False Suppose -2*c - 4*v = -5*c + 12, -c + 4 = 3*v. Is 4 a factor of c? True Suppose -5*l - c + 287 = 0, -l = -5*l - 3*c + 223. Does 23 divide l? False Suppose -w = c - 11 - 19, -c = 4. Is w a multiple of 8? False Let v be 0 + (-17 + 3)/1. Let q be 21/v*(1 + -5). Suppose q*k - 68 = 2*k. Does 6 divide k? False Suppose 0 = -7*f + 3*f + 92. Let v = f + 7. Is 23 a factor of v? False Suppose 0 = -5*w + s + 154, -5*w + 10 = -4*w + 5*s. Is 10 a factor of w? True Let r(f) = 2 - 3 - 2 + f**2 - 2 - 7*f. Let k be r(-4). Suppose k = 4*z - 89. Is z a multiple of 11? False Let i = 200 + -93. Suppose -i = 4*n + 13. Is 9 a factor of 10/4*(-252)/n? False Let z = -11 - -4. Let f(y) = 4 + y + 12 - 6. Is 2 a factor of f(z)? False Let k(g) = 4*g**3 - 8*g**2 - 4*g - 8. Is 13 a factor of k(4)? True Suppose 0*l = 2*l + 12. Let i = -9 - -6. Let u = i - l. Is 3 a factor of u? True Let p be (3 - 0) + (1 - -1). Suppose -2*u + 114 = p*y, y - 116 = -2*u - 3*y. Is 23 a factor of u? False Let f(o) = -o**3 + 5*o**2 - 5*o + 7. Let k be f(5). Does 6 divide (-4)/k - (-156)/27? True Suppose 5*b = 9*b - 984. Does 41 divide b? True Let c(i) = i. Let z(l) = l - 5. Let b be z(8). Let r be c(b). Let x(p) = 4*p + 1. Is 11 a factor of x(r)? False Suppose -8*q = 4*q - 3936. Does 18 divide q? False Let t = -74 - -93. Is t a multiple of 2? False Let w be (1/2)/((-6)/12). Is w/(3/(-15)) - -2 a multiple of 7? True Does 10 divide (-1)/1 + -3*(-286)/3? False Let p = 35 - 20. Is p a multiple of 3? True Does 9 divide (-34)/(-4) + (-1)/(-2)? True Let n = -24 + 180. Is n a multiple of 26? True Let o(p) = -p**3 + 7*p**2 + 2*p + 10. Suppose 30 = 4*l + z - 2*z, l + 4*z = -1. Is 8 a factor of o(l)? True Let w(l) = 125*l**2 + l + 3. Let i be w(-2). Is i/12 + (-1)/(-4) a multiple of 14? True Let m be ((-2)/3)/(4/24). Does 4 divide (-1)/(-3)*(m - -34)? False Suppose 0*h - 2 = -h. Suppose i + v = 37, 75 = -h*i + 4*i + v. Is 22 a factor of i? False Let s(b) = -b**2 - 8*b - 1. Let i be s(-6). Suppose 0 = a - i - 25. Suppose 2*l = 2*q + 8 - 0, -3*l = 3*q - a. Is l a multiple of 4? True Suppose -5*f = -0*f - 100. Suppose 10*r = 5*r + f. Does 13 divide (2 - 21/r)*-4? True Let y(o) = 16*o. Suppose -5*a + 0*a = -15. Let u(v) = 33*v. Let s(c) = a*u(c) - 7*y(c). Does 13 divide s(-1)? True Let o(y) be the third derivative of -y**7/2520 - y**6/144 - y**5/60 + y**4/8 + y**2. Let p(f) be the second derivative of o(f). Is 4 a factor of p(-2)? True Let u = -229 - -393. Is u a multiple of 31? False Let x = -61 + 121. Is 10 a factor of x? True Let l(k) = k**3 + 12*k**2 + 28*k - 2. Is 33 a factor of l(-5)? True Suppose -200 = -4*o + c, 5*c + 50 = -0*o + o. Is 24 a factor of o? False Let o be 1 + 3 + 0 + 0. Suppose 2*l - 46 = 3*c, 0 = -o*l + 4*c - 32 + 128. Is (2 + l/(-3))*-3 a multiple of 10? True Let j(c) = -c**2 - 5*c. Let d be j(-5). Suppose 2*l - 3*w = 2, d = -l - 0*l + 3*w - 5. Suppose -22 = -2*x - l*i + 3*i, -115 = -5*x + 2*i. Does 13 divide x? False Suppose -10 = 5*n, -166 = 4*f - 6*f - 3*n. Let i = f + -31. Does 19 divide i? False Let l(s) be the third derivative of s**6/120 + s**5/5 + s**4/4 - 13*s**3/6 - 4*s**2. Let z be l(-11). Let t = z + 0. Does 21 divide t? True Let h(s) = -s**3 + 6*s**2 - 7*s + 7. Let k be h(5). Let n be (-2)/6 - 61/k. Suppose 3*p - p = x, x = -2*p + n. Is 5 a factor of x? True Suppose 10 = 3*s - 20. Suppose -2*m = -6 - s. Is 7 a factor of m? False Does 13 divide 6425/125 - (-1 - (-4)/10)? True Let c(y) = -y**2 - 10*y + 6. Let s be c(-9). Let r(d) = 5*d - 8. Let f be r(-8). Is 10 a factor of (10/s)/((-2)/f)? False Let i(t) = 92*t - 11. Let k(s) = -31*s + 4. Let b(g) = 3*i(g) + 8*k(g). Is b(1) a multiple of 13? False Suppose 2*z + 11 = -3*x, -x + 3*z - 12 = 4*x. Let k be -2 - 1/(x/15). Suppose -2*m + 19 = -0*f - k*f, 0 = -5*m - 3*f + 58. Is 11 a factor of m? True Let c = -10 + 10. Suppose 5*t + p - 53 = c, -5*t + p = -p - 59. Does 8 divide t? False Suppose -y + 5*y = 20. Suppose -y*s + 128 = -2. Is s a multiple of 11? False Suppose 15*c + 1494 = 21*c. Is c a multiple of 54? False Let j(k) = -k**3 + k + 1. Let u(p) = 3*p**3 + 8*p**2 - 6*p - 12. Let z(o) = 2*j(o) + u(o). Does 11 divide z(-8)? True Let h(a) = 3*a**2 - 7 + 3*a**2 - 2*a - 9*a**3 + 11*a**3. Let w be h(-5). Let m = -46 - w. Is 13 a factor of m? False Let n be (-16)/(-6)*(-156)/(-8). Does 10 divide (-18)/12*n/(-3)? False Is 2 + (0 - (-39 - -3)) a multiple of 11? False Let x be (4/8)/(1/6). Suppose x*t = t + 48. Is t a multiple of 8? True Suppose -4*b = -y + 111, 5*b - 195 - 155 = -3*y. Is 24 a factor of y? False Suppose 5*m = 3*y + 95, 3*m = -2*y + 16 + 60. Suppose -m - 8 = -5*g. Is g a multiple of 6? True Let h(a) = a**2 + a + 9. Let u be h(7). Suppose 0 = 5*d - 2*q - u, 4*d = 2*q + 51 + 3. Does 11 divide d? True Suppose q = 1 + 15. Suppose 3*p + 2*z = q, -4*z - z + 13 = 3*p. Is (p/(-10))/((-5)/75) a multiple of 9? True Let d(h) = 5*h + 34. Is d(9) a multiple of 12? False Suppose -5*u + 3*u + 78 = 0. Let l = u - 2. Is 13 a factor of l? False Let g be 6 + -1 + 1
{ "pile_set_name": "DM Mathematics" }
**2 wrt z. -312*z Suppose -43*f - 32*f = 0. Let w(c) be the third derivative of 0*c**4 - c**3 + f + 0*c - 7/60*c**5 + 13*c**2. What is the derivative of w(d) wrt d? -14*d Suppose 6 = 4*s - 2. Let l be ((-12)/(-20))/(8 + (-429)/55). Find the third derivative of -122*g**l - 27*g**5 + s*g**2 + 122*g**3 + 0*g**2 wrt g. -1620*g**2 Let k(x) = -x**2 - 2*x. Let t(p) = -144*p**4 + 493*p**2 - 10*p - 3. Let l(y) = 5*k(y) - t(y). Find the third derivative of l(m) wrt m. 3456*m Suppose -3*n + 16 = 2*u, -6*u = -4*u + 5*n - 16. Let k be (4/(-8))/((-1)/u). What is the derivative of -6 + 8*s**k - 9 + 7*s**4 wrt s? 60*s**3 Let d be (-22)/(-4)*(-1100)/(-10). Suppose -7*z = -d - 459. What is the derivative of -4*u - z*u**4 + 136*u**4 + 12 + 4*u wrt u? -64*u**3 Let m = 6 + 133. Find the third derivative of 12*u**2 - m*u**2 - 137*u**3 - 315 + 315 wrt u. -822 Find the second derivative of 1558*y**3 + 13982 + 605*y - 13981 - 207*y**3 wrt y. 8106*y Let a(m) = -2995*m**2 + 30*m - 8727. Let j(z) = -4489*z**2 + 48*z - 13090. Let g(r) = -8*a(r) + 5*j(r). Differentiate g(f) with respect to f. 3030*f Let q be 46/161 - 38/(-14). Suppose 0 = -4*y + 5*c + 536, -145 = 3*y - 5*c - 547. What is the third derivative of -y*o**2 + 129*o**2 - 2*o**3 - o**q wrt o? -18 What is the second derivative of -2294*l + 364332 + 6920*l - 6356*l**3 - 364332 wrt l? -38136*l What is the third derivative of -1374*u**2 - 25 - 61 + 21*u**4 + 86 - u**3 - 432*u**2 wrt u? 504*u - 6 Let n(h) be the first derivative of 256*h**3 - 476*h + 1247. Differentiate n(r) wrt r. 1536*r What is the third derivative of -123*j**3 + 62 - 127 + 65 + 2679*j**2 - 2765*j**3 wrt j? -17328 What is the second derivative of 33 - 3*f**2 - 28*f**3 + 560*f + 812*f - f**4 - 1421*f wrt f? -12*f**2 - 168*f - 6 Find the third derivative of 12*u**3 + 10*u**4 + 125*u**4 - 5*u**2 - 7*u**4 - 249834*u + 249201*u wrt u. 3072*u + 72 Find the first derivative of -534 + 2961 - 3340*p - 398 - 152*p + 1542 wrt p. -3492 Let o = 9 + -2. Let q(y) = -6*y**2 + 25*y - 16. Let f be q(3). What is the second derivative of 2*u + f*u**4 - 6*u + 8*u**4 - o*u wrt u? 156*u**2 Suppose 3*s = -4*c + 636, 3*s = -2*c + 28 + 296. Let l = 3 - 0. What is the first derivative of -156*v + 3 - 15*v**l + c*v wrt v? -45*v**2 Let x = -22 - -46. Suppose -x = -8*t - 0*t. What is the third derivative of 3*p**t - 4*p**2 + 6*p**2 + p**2 wrt p? 18 Let c be (-4)/(-4 - 8)*1887. What is the second derivative of 11*f + 74*f - c*f**3 + 737*f**3 wrt f? 648*f Suppose -135 = 25*k - 860. Find the third derivative of k*w**3 + 2312 - 2312 - 5*w**2 wrt w. 174 Suppose -2*c + 39 = -4*v - 33, 12 = 4*v. Suppose -10*l + c = 4*l. Find the third derivative of -10*p**l - 12*p**3 + 39*p**2 - 74*p**2 + 31*p**2 wrt p. -132 Suppose 0 = t - 5*t. Suppose 3*x - x - 14 = t. Find the first derivative of 11 + 2*p**3 + 12*p**3 - x + 9 wrt p. 42*p**2 Suppose 35 = 2*x + h, -13*x = -9*x - 4*h - 52. Let s(f) be the first derivative of 15 + 0*f**2 + x*f - 3/4*f**4 + 0*f**3. What is the derivative of s(w) wrt w? -9*w**2 Let t be 1/(-4) + 7605/(-60). Let c = 149 - t. What is the derivative of 152 + 156 - c + 16*l wrt l? 16 What is the second derivative of -773*a**5 - 91*a**3 + 223*a**3 - 134*a**3 + 3471*a wrt a? -15460*a**3 - 12*a Let o(r) be the second derivative of -r**5/10 - 7*r**4/4 - 85*r**3/6 - 4292*r**2 - 5*r - 990. What is the derivative of o(s) wrt s? -6*s**2 - 42*s - 85 Let f(n) be the third derivative of 371*n**6/15 - n**4/8 - 1867*n**3/3 - 6*n**2 - 365*n. Differentiate f(l) wrt l. 8904*l**2 - 3 Let a(w) = -w**3 - w**2 + 3*w + 2. Let j(d) = 3*d**3 - 412*d**2 - 3*d + 353. Let m(i) = -2*a(i) - 2*j(i). Differentiate m(r) with respect to r. -12*r**2 + 1652*r Find the first derivative of 1003 - 67*l**2 + 7*l**2 + 3659 - 920 wrt l. -120*l Let p(v) be the third derivative of v**7/210 + 757*v**5/60 - 5*v**4/24 + 2*v**3 - 108*v**2 - 8. Find the second derivative of p(g) wrt g. 12*g**2 + 1514 Let i(h) = 22*h**3 - 32*h**2 + 166*h + 18826. Let v(t) = -9*t**3 + 16*t**2 - 83*t - 9414. Let l(o) = -2*i(o) - 5*v(o). Differentiate l(m) with respect to m. 3*m**2 - 32*m + 83 Let p(x) be the first derivative of -6864*x**7/7 + x**3 - 95*x**2/2 - x + 7341. What is the third derivative of p(s) wrt s? -823680*s**3 Let g(t) be the second derivative of -2419*t**6/30 + t**5/10 + 2947*t**4/12 + t**3/2 + 11820*t. Find the third derivative of g(c) wrt c. -58056*c + 12 Let f = -35 + 37. Let r be ((f/(-4))/(-1))/((-18)/(-72)). Differentiate -12 - 9*o**2 + 73*o - 73*o - 4*o**r wrt o. -26*o Let c(t) be the first derivative of -5*t**6/6 - 8*t**5/5 - 20*t**3/3 + 7739*t**2/2 + 5496. What is the second derivative of c(q) wrt q? -100*q**3 - 96*q**2 - 40 Find the third derivative of 3364*m**5 - 7*m + 265*m**2 + 7*m - 1903*m**2 - m + 8984*m**5 wrt m. 740880*m**2 Let u be 1/(-7) + (-211)/(-7). What is the third derivative of -28*r**6 - 37*r**2 + r - 5 - r + 205*r**6 + u*r**2 wrt r? 21240*r**3 Let k(b) = 17*b**2 + 25. Suppose -5*t + 2*t + l - 10 = 0, -l = -t. Let z(o) = 11*o**2 + 17. Let v(p) = t*k(p) + 8*z(p). Find the first derivative of v(q) wrt q. 6*q Let n = 289 + -284. Find the third derivative of -4*y**n + 42*y**2 - 32*y**2 + 2*y**5 - 3*y**3 + 3 - 26*y**2 wrt y. -120*y**2 - 18 Suppose -16*w = 9*w - 2925. Differentiate -179 - w + 143*t + 131 with respect to t. 143 Let l(w) be the third derivative of w**6/15 + 13*w**5/30 - 7*w**4/24 + 667*w**3/3 - 12*w**2 + 47. What is the derivative of l(m) wrt m? 24*m**2 + 52*m - 7 Let c be (1/(-2))/((-2)/40). Suppose -l - c = 3*i, -3*i - 8 = -i. What is the second derivative of -9*u**3 - u + l*u + 3*u wrt u? -54*u Find the third derivative of 12731*l**2 + 7*l**4 + 31*l + 12740*l**2 - 25494*l**2 - 24*l**3 wrt l. 168*l - 144 Let s = 157 - 23. Let j = 486 + -484. What is the second derivative of s*q**2 + j*q - 134*q**2 - 14*q**3 wrt q? -84*q Let v(c) = 671*c - 951. Let r(i) = -658*i + 952. Let z(g) = -3*r(g) - 4*v(g). Differentiate z(y) with respect to y. -710 Suppose 3*i - 423 = -3*g, 0*g = -3*i + g + 407. Find the second derivative of 1 - i*d + 139*d - 77 + 65*d**2 wrt d. 130 Let f(m) = -24*m**3 - 29*m**2 + 11*m - 274. Let i(j) = -25*j**3 - 27*j**2 + 7*j - 272. Let h(p) = -3*f(p) + 4*i(p). What is the second derivative of h(n) wrt n? -168*n - 42 Find the second derivative of -21*j - 459*j**3 - 476*j**3 - 55*j - 9 wrt j. -5610*j What is the third derivative of -2 + 3657*x**2 + 3*x - 3*x - 673*x**3 + 3665*x**2 - 7256*x**2 wrt x? -4038 Let a(n) be the third derivative of -71/6*n**3 - 12 + 37/60*n**5 + 0*n - 2*n**2 + 0*n**4 + 1/120*n**6. Differentiate a(y) wrt y. 3*y**2 + 74*y Let w(i) be the first derivative of -1378*i**3/3 - 705*i**2 - 22. What is the second derivative of w(z) wrt z? -2756 Let k(v) be the third derivative of 425*v**8/336 + v**6/60 - 229*v**4/24 - 748*v**2. What is the second derivative of k(g) wrt g? 8500*g**3 + 12*g What is the first derivative of 2155915*i + 4518 - 6396*i**4 - 2155915*i wrt i? -25584*i**3 Let q = 104 + -102. Find the third derivative of 152*z**2 - 178*z**q + 4*z**3 + 42*z**3 wrt z. 276 Let q = 9 + -7. Suppose -1 - 9 = -5*k. What is the third derivative of -10*t**5 - 11*t**5 + 12*t**k - 3*t**q + 38*t**5 wrt t? 1020*t**2 What is the derivative of 1468*r**4 + 123424*r + 305 - 229*r**4 - 123426*r wrt r? 4956*r**3 - 2 Suppose 0 = 3*u - 15*u + 24. Find the third derivative of 1699*f**u + 4*f - 28*f**3 - 1696*f**2 + 4*f wrt f. -168 Let c = 333 + -329. Find the third derivative of 12*x**4 + 10*x**c + 12*x**3 - 39*x**2 - 10*x**2 - 21*x**4 + 4*x**3 wrt x. 24*x + 96 Let h(f) be the second derivative of 27 + 0*f**2 + 0*f**3 - 25/3*f**4 + 3/10*f**5 + 5/6*f**6 - 2*f. Find the third derivative of h(o) wrt o. 600*o + 36 Let x(f) be the second derivative of 2501*f**6/10 + 6271*f**2 - f + 334. What is the first derivative of x(n) wrt n? 30012*n**3 Differentiate -1137*m - 110*m + 266*m + 5892 - 5534 wrt m. -981 Let f(w) be the third derivative of 0*w**5 + 2*w + 1/40*w**6 + 0 + 16*w**2 + 1/8*w**4 + 17/3*w**3. Find the first derivative of f(u) wrt u. 9*u**2 + 3 Suppose -13*q + 16*q + 15 = 0. Let h(y) = y**2 + 3*y - 4. Let r be h(q). Differentiate 6 + 32*p**2 - 22 - 6*p + r*p wrt p. 64*p Differentiate 15*y**3 - 220*y + 950*y**2 - 4765 + 220*y - 10*y**3 - 3*y**3 with respect to y. 6*y**2 + 1
{ "pile_set_name": "DM Mathematics" }
a(-1). Let k = r - l. Solve -2*d = k*d for d. 0 Suppose -a - 2*a + 24 = 0. Let l(b) = b**3 - 8*b**2 - b + 8. Let d be l(a). Solve 5*g - g + 12 = d for g. -3 Let r(z) = z**3 - 11*z**2 - z + 16. Let n be r(11). Let b(g) = -g**2 + 7*g - 7. Let i be b(n). Solve -i*a - 4 = -a for a. -2 Let p(m) = 7 + m + 9*m - 11*m. Suppose 0 = n + 4, 0 = 5*y + 3*n + 50 + 7. Let g be p(y). Solve -x - 3*x + g = 0 for x. 4 Let z = 11 - 5. Suppose 0 = z*b - 12. Solve i - b*i = -1 for i. 1 Let b = -136 - -137. Solve -4*h + 5 - b = 0 for h. 1 Let a = 6 - -8. Suppose -a = -2*u - 4. Solve -u = -o - 0 for o. 5 Let o(i) = i. Let z be o(4). Let l(d) = d**3 - 5*d**2 + 4*d. Let b be l(z). Suppose -4 = -2*s - b*s. Solve 3*c + 5 = -s*c for c. -1 Let p(r) = r - 2. Let k be p(2). Suppose k = -2*d - 5*i + 10, -2*d - 3 = i - 5. Solve -4*f + 3*f - 2 = d for f. -2 Let d be (-3)/5 + (-6)/(-10). Suppose -5*x + 65 = 5*y, 4*y - 2 = -x + 14. Let i = x - d. Solve 8 = -4*h - i for h. -5 Let u = -46 - -54. Solve 0*x = -4*x - u for x. -2 Let h be 364/70 - (-1)/(-5). Solve -o = -6*o + h for o. 1 Let i(r) = 29*r - 1. Let q be i(1). Suppose s = 3*f, 9 - q = -5*s - 4*f. Suppose s*p = 2 + 7. Solve -2*n = -n + p for n. -3 Let n be -3*(-6)/(-63) + 112/49. Solve -3*a + n = -a for a. 1 Suppose -3*u + 29 = -2*u. Let t = -6 + u. Suppose t = 2*m + 3*q, -22 - 25 = -2*m + 5*q. Solve 9 = 5*v - m for v. 5 Let c be -1*3*(-16)/6. Let p(s) = 13 - s - 3*s - 3 + 3*s. Let a be p(c). Solve -a = 2*t - 6 for t. 2 Let m be (2/(-4) - 2)*16/(-20). Solve 2*j = -m - 4 for j. -3 Let c(k) = 7*k**2 - 2*k - 2. Let g(q) = -q**2 - 6*q + 2. Let u be g(-6). Let r be c(u). Suppose -3*n = z - r, 0 = 3*n - 8 - 4. Solve z = 5*j - 5 for j. 3 Suppose -18 = -9*t + 3*t. Solve -t*b = -4*b + 4 for b. 4 Suppose 15 + 5 = 4*u. Suppose 0 = 3*c - u*i - 2, 16 = 6*c - 4*c + 4*i. Solve -c = -4*j - 20 for j. -4 Suppose -27*i + 33*i = 12. Solve -i*r - r = 0 for r. 0 Suppose -3*u + 16 = u. Let y = u + -4. Solve y = -9*f + 4*f + 25 for f. 5 Let v be 9/6 - (-2)/4. Solve v*o + 10 = 2 for o. -4 Let z = 6 - -2. Solve x + x = -z for x. -4 Suppose -2*z = 2*z + 8. Let r be 49/(-14) - 3/z. Let g be 1 + 1 + (-4 - r). Solve -l + 1 + 0 = g for l. 1 Suppose 4*x + 53 = 3*r, 2*x = -r - 0*r + 11. Suppose -6*f = -f - r. Solve 3*u = -f - 3 for u. -2 Suppose -2*b - 5*o = -5*b + 68, -b + o = -22. Solve -b = -5*w + 4 for w. 5 Let x be (-6)/(-30) + 24/5. Solve 0 = -x*w + 6*w for w. 0 Let s be (-1)/2 - 6/4. Let v(c) = c + 5. Let u be v(s). Solve -u*o = -12 - 0 for o. 4 Suppose -x + 27 = 5*o, -2*x + 42 = x + 2*o. Suppose 3*t - 11 = -c + 7, -3*t + 12 = -c. Suppose 0 = 4*z + q - 12, -c = z - 2*z + 3*q. Solve 0*f - x = -z*f for f. 4 Suppose -5*j = 5*y - 90, -y - 3*j - 4 + 26 = 0. Solve 5*p - 6 = -y for p. -2 Let h = -66 - -71. Solve h*j - 4 = 11 for j. 3 Let x = 2 - -3. Suppose -2*k + 3 + x = 0. Solve k = -h - 0*h for h. -4 Let x be (-8)/(-14)*(-28)/(-8). Suppose 4*c - 10 = x. Solve 2 = -5*o - c for o. -1 Let b be (1 + -1)/3 + 2. Suppose -7 = -4*d - 27, y - 2 = -d. Suppose 6*l + 8 = y*l. Solve -b*r = -0 + l for r. -4 Let k be (-83)/(-9) + 6/(-27). Suppose g - 2*i - k + 3 = 0, -6 = g + 2*i. Solve 0 = a - g + 2 for a. -2 Let a = -10 - -21. Let z = 12 - a. Solve -4*t - z + 13 = 0 for t. 3 Let t = 42 + -36. Solve 5*o = -4 - t for o. -2 Suppose 0 = 3*n - o - o - 8, -10 = -4*n + 2*o. Solve -n*f - f = 9 for f. -3 Let z = -6 + -10. Let t be ((-4)/6)/(z/24). Solve 0 = f + t - 3 for f. 2 Suppose 4*i = -5 - 7. Let n be (i - -1 - -2)/(-1). Solve -b - b - 4 = n for b. -2 Let w = 11 + -9. Suppose t = -w*t + 18. Solve -2 + t = 2*q for q. 2 Suppose 5*l = -t - 3, 2*t + 1 = -3*l + 2. Let r = 0 + 3. Solve t = -r*a - 1 for a. -1 Let q be 10/(-85) - 38/(-34). Solve 0 = y - q for y. 1 Let d be 5 + (-5)/(15/(-9)). Solve 4*z + 0 = -d for z. -2 Let n be ((-48)/(-8))/((-1)/(-1)). Let r be (-1 + -2)/(1/(-3)). Let m be n/r*-3*-1. Solve 2*s = 8 + m for s. 5 Let j be (16/10)/((-8)/(-20)). Let i = j + -2. Solve 10 = i*k - 0 for k. 5 Let k be -2 - ((-3 - 1) + -7). Solve k*s - 4*s = -10 for s. -2 Let f(u) = -8*u + 3*u**2 + 13*u + u**2 - u**2. Let y be f(5). Suppose -k + y = 3*k. Solve -5 = -5*m - k for m. -4 Let h = -13 + 31. Let x be h/(-30) - 38/(-5). Solve -x*a + 2*a = -15 for a. 3 Suppose w - 30 = -4*w. Suppose 0 = -2*r + w*r - 16. Solve 0 = -r*l + 6 + 14 for l. 5 Let u = 29 - 27. Solve -u*t + 0 = 2 for t. -1 Let c = 0 - 6. Let i be 2 + 0 - (c + 8). Solve -2*z + i + 8 = 0 for z. 4 Let g = -1 - 0. Let s = 2 - g. Solve 2 = -s*f + 5*f for f. 1 Let d = 23 - -5. Suppose 5*c - d = -4*q, 0*q = -q - c + 6. Solve 3*a + q*a = -10 for a. -2 Suppose 5*m = -3*s + 5*s - 33, -3 = s + 4*m. Suppose -16 = -s*x + 7*x. Solve -3*w - 1 = x for w. -3 Let t = 51 + -31. Solve -t = -3*u - 5 for u. 5 Suppose -3*j = j. Solve j = d + 4*d - 10 for d. 2 Suppose -6 + 1 = -n. Suppose -4*j + n*j = 3. Solve -3*v + j = -6 for v. 3 Let y be 4/(-3)*48/(-32). Suppose c - y = 3*n + 11, -3*c + 7 = -n. Solve c + 7 = -4*l for l. -2 Let h be (-5 + 102/24)*(-1 + -3). Let n = -30 - -43. Let f = 21 - n. Solve k - f = -h*k for k. 2 Let z be 2/(-5) - 124/(-10). Solve -z = 4*t - 32 for t. 5 Let z(i) = -8*i - 3. Let q be z(-1). Solve -9 = -q*r + 16 for r. 5 Let a = -13 + 8. Let g = a + 8. Solve -g*r + 12 = r for r. 3 Suppose 0*q = -3*q. Let k = -12 - -17. Let z = q + k. Solve z = -2*o + 7*o for o. 1 Let b = 1 - 1. Let m be (-1 + 1)/(2 + -4). Solve m = -b*q - q for q. 0 Suppose 3*x + 3*g - 18 = 0, 4*x - x + 2*g = 17. Suppose -2*k + 11 = x*m, -25 = -4*k - 3*m - 10. Suppose -k*t + 2 = -10. Solve 4 = t*r - 0 for r. 1 Suppose 60*i = 64*i - 8. Solve 5*m = -i - 3 for m. -1 Suppose -14*n + 29 = -27. Solve 1 = n*j + 5 for j. -1 Let f be (-3)/(-9) + (-32)/(-3). Suppose 2*l + 10*g = 5*g - f, -4*g + 5 = -3*l. Let u be (-3 - 0)/(l/2). Solve -u*n = -4*n for n. 0 Suppose -4*f = 5*u - 25, -5*f = u - 3*u - 23. Let c(x) = -4*x + 0*x**2 + x**2 + u + 3*x. Let a be c(1). Solve -a + 7 = 3*h for h. 2 Let k be 5/1 - (-2 + 2). Solve 2*x - k*x = 15 for x. -5 Let c be 2/(-4)*(5 - (-5 + 20)). Solve -6*v = -v - c for v. 1 Let v = 1 - 5. Let b be 8/6 - v/6. Solve 12 = -b*a - 2*a for a. -3 Let i be (-46)/4*(3 - 5). Suppose 4*w + 3*l - i = 0, 0*w + 21 = 4*w + l. Let r be (1 - 1)/(-2 + 1). Solve -w*g + g + 12 = r for g. 3 Let k = -48 + 68. Solve k - 4 = 4*j for j. 4 Let x = 3 - -1. Suppose 2*m + 0*m = 0, x*m - 9 = -3*y. Suppose 0 = -y*n + n. Solve 4*f + 0*f - 4 = n for f. 1 Suppose 3*f - 3*m = m + 9, 5*f = -3*m + 15. Suppose -f = -3*o + 9. Suppose 4*q - 60 = o*c, 0*q - 5*c = 5*q - 75. Solve 3*i - q = 8*i for i. -3 Let m = 92 + -87. Solve -2*i + 15 = -m*i for i. -5 Suppose 0 = -3*q + 2*f - 4, -2*q + f + 0 - 1 = 0. Let b(r) = -r**3 - 3*r**2 - r + 1. Let p be b(-2). Let s be (p/(-3))/((-5)/(-75)). Solve s*d + q = -18 for d. -4 Let f(p) = p**2 - 8*p + 10. Let x be f(7). Let v = x + 0. Solve -v*i = -i + 8 for i. -4 Let d(c) = -c**2 - 3*c + 5. Let p(n) = 3*n + 2. Let t be p(-2). Let j be d(t). Let k = j + 20. Solve 5*l = 4 + k for l. 5 Suppose 2*j - 2*y - 8 = 0, -2*y - 2*y = -5*j + 20. Suppose -9 = 3*z - 3. Let s be (36/(-42))/(z/14). Solve 2 + s = -j*t for t. -2 Let x(o) = 2*o + 17. Let c(u) = 3*u + 25. Suppose 3*i + 25 = -2*i. Let p(n) = i*c(n) + 8*x(n). Let b be p(-6). Solve -3*g = -b*g + 2 for g. 1 Let v be 5/(-1 + 6/4). Suppose -v + 5 = -a. Suppose -k = -a*k. Solve k*g - g + 1 = 0 for g. 1 Let a = 9 - 4. Solve 4*i - a = 15 for i. 5 Let a be (-1)/(-1 + (-2)/(-4)). Let h(b) = -b**3 + 7*b**2 - 10*b + 6. Let v be h(5). Solve -a*u + v*u = 0 for u. 0 Let w = -7 + 9. Let k be (0 - w)/(-1) + 4. Solve -3*t - 6 = k for t. -4 Let j(t) = t**2 + 2*t - 3. Suppose q - 4*q = -2*o + 13, -2*q = -5*o + 16. Let y be j(o). Let d = -5 + y. Solve 2*l + d*l = -10 for l. -5 Let p = -26 - -38. Let z be 4/14 + p/(-42). Solve z = -5*c + c - 8 for c. -2 Suppose 0 = g - 9 + 1. Suppose m + g = 3*m. Suppose -4*z + s - 28 = -5*z, s = -5*z + 120. Solve -3 + z = m*n for n. 5 Suppose 4*d + 25 = -d. Let f = -2 - d. Suppose -k + 2*k - 2 = 0. Solve -f*q = k*q - 5 for q. 1 Let x be (-10)/(-6) + 10/30. Suppose u = 4*r + 8, x*r - 11 = 2*u - 27. Solve -4*f - u = -0*f for f. -2 Suppose -4*h - 8 + 0 = -5*y, 4*h - 32 = -5*y. Suppose -g + 2 = -h*x, 3*x + 2*x - 4*g + 15 = 0. Let k = x + 1. Solve s = -s - k for s. -1 Let p(z) = -z**
{ "pile_set_name": "DM Mathematics" }
**1/w)/w))**(-35)*(w/(w**(-2/7)*w))/w**(2/15) assuming w is positive. w**(-7334/105) Simplify (f/(f*f/f**(7/2)*f*f)*f/((f*((f/(f/(f/f**(2/11))))/f)/f)/f))/((f/f**(3/8))/(f**1/f)) assuming f is positive. f**(181/88) Simplify (((w**(2/43)*w)/(w/(w*w**(-1/17))))**(-4/15))**(-3/17) assuming w is positive. w**(2888/62135) Simplify (k/((k**(-7/3)/k)/k)*k*k/(k**(1/7)/k))/(k*k**(-6/17)*k**(-11)/k) assuming k is positive. k**(6977/357) Simplify k/(k*k**7)*k*k**(-4)*k**3/k*k**(-2/5)*k assuming k is positive. k**(-37/5) Simplify ((m/(m*m**10/m)*m/m**(1/8))**(-6/5))**(6/23) assuming m is positive. m**(117/46) Simplify (s**(1/4))**27*(s/(s/(s/s**(2/43)*s)))/s**(-12/5) assuming s is positive. s**(9549/860) Simplify (a**(-1/25))**(14/9)/((a/((a/a**12)/a)*a)/(a/((a/(a/a**24))/a))) assuming a is positive. a**(-8114/225) Simplify ((y**4/(y/((y/y**(3/7))/y)))/(y/(y*y**(-1/2)))**(2/41))**12 assuming y is positive. y**(8772/287) Simplify (s/(s/s**9)*s/s**(-6))/(s**(-1/12))**46 assuming s is positive. s**(119/6) Simplify (((u**31*u)/u)/(u/u**(12/13)))/(u/u**(-4/7))**(15/2) assuming u is positive. u**(3483/182) Simplify (z**(2/7)/z)**(6/13)*(z**0)**(-33/4) assuming z is positive. z**(-30/91) Simplify (o/(o/(o*o*o**(12/5))))**31/(o*o*o/(o/o**23)*o**(10/3)/o*o) assuming o is positive. o**(1621/15) Simplify o**1/(o**(2/7)*o)*(o*o/(o/o**23))/(o**(4/27)*o) assuming o is positive. o**(4265/189) Simplify (z**(-1/2)/z)**(-36)/(z/(z*z**1))**(-10) assuming z is positive. z**44 Simplify ((r*r**(-12/7)*r*r)/r)/(r**(3/4)/r)*r**(-20)*r*r*r**(1/31)*r assuming r is positive. r**(-14263/868) Simplify (p*p**(2/11))**(-40)*(p**4)**(-2) assuming p is positive. p**(-608/11) Simplify (i*i/(i*i*(i/i**0)/i*i*i*i*i)*i)**(4/29)*i**(3/10)*i*i*i/i**(3/11) assuming i is positive. i**(8337/3190) Simplify d**0/((d**1*d)/d)*((d/(d/d**3*d))/d)**(-43) assuming d is positive. d**(-44) Simplify (j**(1/9)*j**0*j**(-2)*j**(1/7))**8 assuming j is positive. j**(-880/63) Simplify b**(-12)*b**(2/7)*b**(2/5)*b**(-5/7)*b assuming b is positive. b**(-386/35) Simplify (a**(3/10))**49/(a*a*a*a*a*(a**23/a)/a)**(4/11) assuming a is positive. a**(577/110) Simplify ((k*k**(4/7)/k*k*k)/(k/k**(-1/8)))/(((k**(3/4)*k)/k)/(k/k**(-12))) assuming k is positive. k**(767/56) Simplify (g/(g/g**(-1/21)))**(-46)/(g/((g*g**15*g*g)/g))**7 assuming g is positive. g**(2398/21) Simplify (i*(i**4*i)/i)**(18/13)/(i/i**(-5))**39 assuming i is positive. i**(-2952/13) Simplify (o/(o*o**(-2))*o*o/(o/(o*o**4)))**45 assuming o is positive. o**360 Simplify (q**3/((q/(q**3*q))/q)*(q/q**2)/q**5)**30 assuming q is positive. q**30 Simplify (p**(-2))**1/((p*p/p**(9/2)*p*p)/p**(2/9)) assuming p is positive. p**(-23/18) Simplify (j/((j*j**(-12/7))/j)*(j*j**(-10/3))/j)**29 assuming j is positive. j**(-377/21) Simplify (x/x**(-2/3)*x/x**(-2/11)*(x*x/(x*x**(-2/7)*x)*x*x)**37)**(-25) assuming x is positive. x**(-504850/231) Simplify h**(-3/2)*(h**(1/18)*h*h)/h*(h/h**(-8/3))**(-21/2) assuming h is positive. h**(-701/18) Simplify (((x*x**18)/(x/(x**6*x)))**45)**(-1/8) assuming x is positive. x**(-1125/8) Simplify (a/((a/(a/(a/(a/(a*a**32*a*a)))))/a))/(a*a/((a/(a**(-11/5)*a)*a)/a))*(a*a**(-22))**(-3/16) assuming a is positive. a**(-2309/80) Simplify t**(-4/9)*t/(t/((t*t**1*t)/t))*t**(-1/4)/t**(-2/15) assuming t is positive. t**(259/180) Simplify y/(y/((y**(-34)/y*y)/y*y))*y**(1/11)*y**17/y**(-30) assuming y is positive. y**(144/11) Simplify (((q/q**(-2/11))/q*q*q/q**(-6/7)*q)/(q**(-1/4))**(-10))**(2/183) assuming q is positive. q**(79/4697) Simplify ((z/(z/(z/(z**(-7)/z)*z))*((z*((z**(-4)*z)/z)/z)/z)/z*z)/(z**(1/3))**(-6/11))**(-40) assuming z is positive. z**(-2280/11) Simplify ((u**(-2)*u**(5/3)/u*u)/((u/(u/(u**(-9)/u)))/(u/u**(-1))))**21 assuming u is positive. u**245 Simplify (n**(-5)*n*n**6*((n/(n/n**(2/5))*n*n)/n)**(-1/8))**(-3/2) assuming n is positive. n**(-219/80) Simplify (j**(-14)*j*j**(1/5))/(((j/(j*j*j*(j/((j*(j/(j/(j*j**(-20))))/j)/j))/j*j*j))/j)/(((((j*j/(j/(j/(j**20/j))))/j)/j)/j)/j)) assuming j is positive. j**(-44/5) Simplify (x*x**(-7))**(-6)*(x*(x/x**12)/x)**(1/68) assuming x is positive. x**(2437/68) Simplify ((o**4*o*o)/(o*o**(-2/5)*o*o))/(o/(o/o**(-2))*o*o*o*o**(-1/3)) assuming o is positive. o**(41/15) Simplify ((i**(4/3)/i**(-11))**(-8))**(2/55) assuming i is positive. i**(-592/165) Simplify (g/g**(-1))**(7/5)/(g*g**5*g**6) assuming g is positive. g**(-46/5) Simplify (i**(-14)/(i**(-5)/i*i))/(i*i**(-9)*(i/(i*((i/(i/(i/((i**(4/7)/i*i)/i))))/i)/i))/i) assuming i is positive. i**(-4/7) Simplify (((a*a/(a*a**0))/(a/(a/((((a/a**(-2/9))/a)/a)/a))))**(2/61))**(1/9) assuming a is positive. a**(50/4941) Simplify (o/(o**(-3/11)/o))/(o**(4/7)*o)*((o*o*o*o/(o/(o/(((o/o**15)/o*o)/o))*o)*o*o)/o)/((o/(((o**(3/11)/o)/o)/o))/o) assuming o is positive. o**(1307/77) Simplify (n/(n/(n*n**(-13)*n*n)))/n**(-2/21)*(n**(-2/3))**(-27) assuming n is positive. n**(170/21) Simplify (k/(k*k**(-2/29)))/(k*k*k*k**6)*(k/(k*k**(-2)*k))**(9/4) assuming k is positive. k**(-775/116) Simplify ((k*k**(-5)*k*k*k**(2/7))**(-1/4))**(-49) assuming k is positive. k**(-21) Simplify (j*j/(j**(9/5)/j))/((j*j**(3/13)/j)/j)*(j/j**(-2/7))/(j*j**(-16)*j) assuming j is positive. j**(7851/455) Simplify ((o*o/(o*o/(o*o**(2/35)/o))*o)/o*o**(1/3))/((((o**(3/5)*o)/o)/o)/(o/o**(1/12))) assuming o is positive. o**(239/140) Simplify ((q**6*q**(-4/13))/(q**2)**(-5/6))**28 assuming q is positive. q**(8036/39) Simplify (l*l*l**2*l*l*l**(-4)*l*((l*(l**(-1/2)*l)/l*l)/l)**(4/7))**45 assuming l is positive. l**(1035/7) Simplify (((y*y/y**0)/(y/(y*y**5)*y*y))/(y**(-2/3))**33)**(-8/3) assuming y is positive. y**(-72) Simplify (x/(x**(-1/7)*x*x)*x)/(x*x/(((x*x**7*x)/x)/x))*(x/(x**(-1)*x)*x)/(x**(1/14)/x) assuming x is positive. x**(113/14) Simplify (y*y/y**4*y/y**6*y*y**6/y*y**(3/4))**11 assuming y is positive. y**(-11/4) Simplify x**3/(x*x/x**(1/4))*(x*x**(-32))/(x**(2/13)*x) assuming x is positive. x**(-1607/52) Simplify ((u*u/(u/(u**1*u))*u)**(-48)/(u*u**2*u/u**(-2/5)))**42 assuming u is positive. u**(-41244/5) Simplify (m**(-8)/m)/m**10*(m**1)**(-3/7) assuming m is positive. m**(-136/7) Simplify (u/u**(-17/2)*u*u**8*u*u)/((u*u*(u*u*u/(u**(-1/8)/u)*u)/u)/(u**(1/5)*u)) assuming u is positive. u**(623/40) Simplify (((i*i**2*i*i)**(-23/3))**(-7))**35 assuming i is positive. i**(28175/3) Simplify ((t**(-13/2))**(-30/11))**(-2/37) assuming t is positive. t**(-390/407) Simplify (q*q*q**7)**(1/10)*(q**(-4))**(-24) assuming q is positive. q**(969/10) Simplify x**21/x*x*x**(1/14)*x*x/(x/(x**12*x))*x**(3/20) assuming x is positive. x**(4931/140) Simplify (y*y*y**(2/21)/y*y)**(-24)/(y/y**(-2/41))**(-49) assuming y is positive. y**(317/287) Simplify (t**5)**(-26)*t/(t*t**25/t*t)*t*t**11 assuming t is positive. t**(-143) Simplify y**10*y**2/y*y**(-2/63)/y*y/(y**(-11)*y)*y*y assuming y is positive. y**(1447/63) Simplify u**(-1)/u**(-12)*u*u**4*u*(u/(u**(-29)*u))/u assuming u is positive. u**45 Simplify (((v/v**(-3/8))/(v/(v*v**(-5))))/(v**12*v*(v*v*v/v**(-2/7))/v))**(-34) assuming v is positive. v**(18003/28) Simplify c**(-18)*c**(-10)*(c**(-1))**(5/6) assuming c is positive. c**(-173/6) Simplify (q**(-3/5)*(q*(q*q/q**(-8))/q*q)/q)/((q**(-1/3)/q*q)/q)**(2/167) assuming q is positive. q**(23587/2505) Simplify ((l**2/l*l**(-2/7)*l)**(-9/13))**(2/27) assuming l is positive. l**(-8/91) Simplify (v/(v/(v*v**(-2/7))))**50/(v**(-12)/((v*v**7)/v)) assuming v is positive. v**(383/7) Simplify (v**(32/3)/v**(2/53))**(-8/7) assuming v is positive. v**(-13520/1113) Simplify (w**34/w)**12*(w**(4/15)*w*w)/(w*w**(-22)*w) assuming w is positive. w**(6274/15) Simplify (s**(-7/5)/s*((s/(s/s**3))/s)/s)/(s*s**(3/7)*s**(3/2)) assuming s is positive. s**(-303/70) Simplify ((s**(-2/13)*(s/(s/((s*s*s**6)/s))*s)/s)**(10/7))**46 assuming s is positive. s**(40940/91) Simplify (c**5/(c**(-3)/c)*(c*c*c*c**(-4)*c)/c*c*c**(-4/5))**(2/5) assuming c is positive. c**(82/25) Simplify ((o**(-5)/(o**(3/11)*o))**44)**4 assuming o is positive. o**(-1104) Simplify (((h/(h/(h*h**8*h)))/h)/h**(-12/11))/((h/((h*(h*h/(h**(3/4)/h)*h)/h)/h))/h*h/(h*h**8)) assuming h is positive. h**(895/44) Simplify ((k/(k*k/k**35*k*k*k))/k)/(k/(k*k*k/(k/k**22)))*(k/(k*k**13/k*k))/k**(-30) assuming k is positive. k**70 Simplify (((j/j**(-3/5))/j)/j)/j**(-8)*(j/(j*j/j
{ "pile_set_name": "DM Mathematics" }
1*u**2 + 34*u - 57. What is d(-9)? -120 Let r(h) = -3*h**3 + 211*h**2 - 673*h + 217. Determine r(67). 16 Let p(u) = -u**2 - 7*u + 49. Calculate p(-13). -29 Let w(o) = -8*o**3 + o**2 - 12*o - 15. Give w(-1). 6 Let q(a) = -a**2 - 67*a - 463. Give q(-40). 617 Let m(l) = 32*l + 736. What is m(-23)? 0 Let m(u) = 78*u - 782. Give m(10). -2 Let r(c) = c**3 + 14*c**2 - 51*c - 2. Give r(3). -2 Let j(c) = 156*c + 157. What is j(-3)? -311 Let x(a) = 2*a**3 + 4*a**2 - 2*a - 23. Calculate x(-3). -35 Let g(m) = m**3 + 2*m**2 + m - 116. Determine g(4). -16 Let t(o) = o**2 + 1312*o + 18185. What is t(-14)? 13 Let b(z) = -z**2 - 47*z + 204. Give b(-50). 54 Let x(c) = 2*c**2 - c - 7. Determine x(7). 84 Let m(f) = -228*f**2 + 6*f + 11. Calculate m(-1). -223 Let t(w) = w**2 + 45*w + 290. Determine t(-8). -6 Let r(j) = 3772*j - 18929. Give r(5). -69 Let v(d) = -3*d**3 + 68*d**2 + 222*d - 13. Give v(-3). 14 Let r(l) = 2*l**2 + 16*l - 154. Calculate r(-12). -58 Let a(h) = h**3 - 12*h**2 + 18*h + 58. Give a(10). 38 Let h(u) = u**2 + 279*u + 833. What is h(-3)? 5 Let f(b) = -2*b**3 + 57*b**2 - 30*b + 56. What is f(28)? 0 Let t(b) = -2*b**2 - 17*b - 75. Determine t(-7). -54 Let k(y) = 3*y**2 + 4713*y + 14134. Calculate k(-3). 22 Let z(s) = -3*s**2 - 770*s - 2288. Calculate z(-3). -5 Let q(r) = 3*r**2 - 255*r - 3167. Determine q(-11). 1 Let r(y) = -2*y**2 + 738*y - 22788. Determine r(34). -8 Let k(d) = -d**3 + 17*d**2 + 170*d - 52. Determine k(24). -4 Let u(z) = 94*z + 3933. Calculate u(-42). -15 Let x(j) = -j**3 + 16*j**2 - 164*j + 1391. Determine x(12). -1 Let c(r) = r**3 - 31*r**2 + 131*r - 18. Calculate c(26). 8 Let f(y) = -2*y**3 - 84*y**2 - 152*y + 288. Calculate f(-40). -32 Let w(c) = 179*c + 353. What is w(-2)? -5 Let z(b) = -b**3 - 15*b**2 - 36*b + 3. What is z(-11)? -85 Let c(z) = 55*z**2 - 655*z - 63. Give c(12). -3 Let j(q) = -3*q**3 + 66*q**2 + 23*q - 514. What is j(22)? -8 Let s(n) = 5*n**2 + 394*n - 488. Calculate s(-80). -8 Let d(h) = -h**3 - 4*h**2 + 5*h + 16. Calculate d(-4). -4 Let m(z) = 184*z - 10697. Give m(58). -25 Let i(f) = 97*f + 378. What is i(-5)? -107 Let j(v) = 17*v - 1233. Give j(76). 59 Let k(o) = -o**3 + 29*o - 42. Determine k(0). -42 Let g(q) = -8*q - 227. Give g(26). -435 Let d(x) = x**3 + 121*x**2 + 242*x + 465. Calculate d(-119). -11 Let n(i) = 2508*i - 22571. What is n(9)? 1 Let k(r) = r**2 - 213*r + 424. Calculate k(2). 2 Let z(u) = -639*u + 700. Calculate z(1). 61 Let z(o) = o**3 - 17*o**2 + 5*o - 22. What is z(17)? 63 Let b(c) = c**2 - 27*c + 198. Calculate b(14). 16 Let x(j) = -314*j + 28. What is x(0)? 28 Let h(c) = -50*c - 2958. Determine h(-58). -58 Let y(w) = 9*w**2 + 431*w - 48. What is y(-48)? 0 Let y(m) = m**3 - 31*m**2 + 54*m + 69. Give y(29). -47 Let w(s) = s**3 - 13*s**2 + 24*s + 10. Calculate w(3). -8 Let s(y) = 14*y + 17. Calculate s(-2). -11 Let w(l) = -7*l - 98. Give w(-65). 357 Let c(a) = -83*a - 1504. Give c(-18). -10 Let m(z) = -z**3 + 46*z**2 + 24*z - 1078. Calculate m(46). 26 Let c(n) = -n**2 - 43*n - 414. Calculate c(-41). -332 Let n(m) = 2*m**3 - 143*m**2 + 80*m - 645. Determine n(71). -6 Let g(h) = -190*h**2 - 1712*h - 13. Give g(-9). 5 Let n(l) = 9*l**3 - 62*l**2 + 29*l - 266. Give n(7). -14 Let c(q) = -q**3 - 11*q**2 - 13*q + 29. Give c(-10). 59 Let b(q) = -73*q - 2051. Give b(-28). -7 Let c(h) = -84*h**2 - 223*h - 104. Calculate c(-2). 6 Let m(z) = z**3 + 22*z**2 - 104*z + 30. What is m(-26)? 30 Let b(k) = k**3 - 27*k**2 - 191*k - 95. Give b(33). 136 Let y(g) = 8*g**2 + 51*g + 69. Determine y(-4). -7 Let z(t) = 5*t**2 - 29*t - 127. Calculate z(-6). 227 Let b(d) = 2831*d - 53791. Determine b(19). -2 Let h(z) = 102*z**2 + 50*z - 8. Calculate h(2). 500 Let m(j) = -j**2 - 8*j + 92. Determine m(-16). -36 Let d(p) = -11*p**2 - 20*p + 31. Determine d(1). 0 Let y(q) = -8*q**3 + 8*q**2 - 21*q + 14. Calculate y(1). -7 Let j(z) = -2*z**3 + 33*z**2 - 16*z + 118. Calculate j(16). 118 Let x(z) = -348*z + 4399. What is x(13)? -125 Let b(a) = a**3 - 14*a**2 - 30*a - 29. Calculate b(16). 3 Let u(l) = 171*l - 1018. Give u(6). 8 Let l(g) = -4*g**2 + g + 81. Determine l(8). -167 Let u(i) = -19*i - 117. Give u(-6). -3 Let g(b) = 26*b**2 - 3459*b + 145. Determine g(133). 12 Let m(l) = l**3 + 17*l**2 + 35*l - 139. Calculate m(-14). -41 Let l(n) = -3*n**2 - 109*n + 449. What is l(4)? -35 Let j(w) = 4*w**2 + 45*w - 267. Determine j(7). 244 Let o(d) = d**3 + 8*d**2 - 10*d - 8. Give o(-7). 111 Let d(a) = -45*a + 17. Determine d(3). -118 Let m(f) = -5*f**2 + 1070*f - 2141. Give m(2). -21 Let z(x) = -x**2 - 24*x - 43. What is z(-22)? 1 Let w(r) = -r**3 - 36*r**2 - 162*r - 228. Give w(-31). -11 Let y(x) = -x**3 + 18*x**2 - 58*x + 11. Determine y(14). -17 Let r(i) = -i**3 - 4*i**2 + 43*i - 101. Determine r(-10). 69 Let v(s) = 65*s + 6364. Determine v(-98). -6 Let m(b) = 24*b - 164. Determine m(7). 4 Let c(p) = -8*p**2 + 92*p + 45. What is c(12)? -3 Let a(x) = -249*x + 7500. What is a(30)? 30 Let u(w) = -815*w - 5708. What is u(-7)? -3 Let s(m) = 2*m**3 - 305*m**2 - 158*m + 399. Determine s(153). -366 Let x(f) = -197*f**2 - 10*f. What is x(-1)? -187 Let r(p) = -30767*p + 16. Calculate r(0). 16 Let d(r) = -11*r**2 + 14*r + 40. What is d(-3)? -101 Let w(d) = 2*d**2 + 5*d + 4. What is w(-1)? 1 Let p(b) = 5*b - 190. Calculate p(-43). -405 Let a(y) = -70*y**3 - 27*y**2 + 21*y + 6. Determine a(1). -70 Let t(z) = -6*z**2 - 15*z - 57. What is t(-6)? -183 Let p(n) = -2*n**2 + 167*n + 10053. What is p(124)? 9 Let u(m) = -19*m**2 - 1. Give u(1). -20 Let j(c) = c**3 - 18*c**2 + 45*c - 12. What is j(15)? -12 Let y(r) = 52*r + 15. What is y(3)? 171 Let n(d) = 2*d**2 + 13*d - 391. What is n(13)? 116 Let w(i) = 19*i + 183. Calculate w(-6). 69 Let r(m) = -m**3 + 12*m**2 - 40. What is r(0)? -40 Let t(v) = -23*v - 3776. Give t(-164). -4 Let n(r) = r**3 + 6*r**2 + 14*r - 15. What is n(-2)? -27 Let x(j) = -j**3 + 107*j**2 - 702*j + 180. Give x(100). -20 Let o(c) = -c**3 - 21*c**2 + 24*c + 447. Determine o(-21). -57 Let s(o) = -o**3 - 18*o**2 - 7*o - 138. Calculate s(-18). -12 Let w(u) = 10*u**2 - 202*u + 9. Calculate w(19). -219 Let c(r) = -r**2 + 4*r + 1765. What is c(-42)? -167 Let o(r) = 7*r**2 + 31*r - 5. Calculate o(-3). -35 Let l(a) = 75*a**2 - 10883*a + 1166. Calculate l(145). 6 Let g(c) = -2*c**2 - 14*c - 3. Give g(0). -3 Let x(a) = 498*a - 20933. Give x(42). -17 Let k(y) = -172*y + 6026. Calculate k(35). 6 Let o(c) = -480*c + 60475. What is o(126)? -5 Let f(a) = a**3 - 42*a**2 + 275*a - 57. Calculate f(34). 45 Let l(b) = 9*b - 329. Determine l(34). -23 Let r(a) = 8*a - 93. Determine r(-16). -221 Let z(g) = -19*g**3 + 117*g**2 - 64*g + 283. Give z(6). 7 Let b(o) = -92*o**2 + 2391*o + 32. Determine b(26). 6 Let f(o) = -o**2 + 525*o + 1581. Determine f(-3). -3 Let k(x) = 199*x - 1059. What is k(6)? 135 Let q(h) = -h**2 - 148*h + 1244. Calculate q(8). -4 Let i(a) = 5*a**3 - 3*a - 3. Calculate i(-2). -37 Let t(a) = 21*a**2 - 185*a - 32. Give t(9). 4 Let j(s) = 88*s**2 - 55*s - 51. Calculate j(-1). 92 Let j(w) = -386*w - 4636. Determine j(-12). -4 Let i(n) = n**3 + 21*n**2 + 31*n - 73. Determine i(-3). -4 Let w(u) = -u**3 - 55*u**2 - 376*u - 5. What is w(-47)? -5 Let k(a) = a**2 + 36*a - 678. Calculate k(14). 22 Let i(u) = u**2 + 21*u + 53. Give i(-14). -45 Let j(p) = -p**2 + 362*p - 13683. Calculate j(43). 34 Let q(t) = -13*t + 80. Determine q(14). -102 Let p(m) = -3*m - 114. Calculate p(-27). -33 Let y(j) = -j**3 + 3*j**2 + 6*j + 14. Give y(4). 22 Let h(k) = -495*k - 1188. Calculate h(-4). 792 Let w(i) = -461*i**2 - 1844*i - 6. Give w(-4). -6 Let s(u) = -62*u**2 - 401*u + 754. Give s(-8). -6 Let q(u) = 2*u**3 + 48*u**2 - 512*u + 5. Determine q(-32). 5 Let l(w) = -68*w - 1489. Determine l(-22). 7 Let m(g) = 10*g**2 + 47*g - 9. Determine m(-5). 6 Let r(t) = t**3 + 35*t**2 - 31*t + 189. Give r(-36). 9 Let d(q) = -49*q + 733. Give d(14). 47 Let q(u) = -u**3 - 7*u**2 - 13*u - 194. What is q(-7)? -103 Let r(o) = -5*o**2 + 95*o - 297. Determine r(4). 3 Let b(i) = -2412*i - 31353. Determine b(-13). 3 Let d(v) = 258*v - 1937. Give d(7). -131 Let h(q) = 84*q - 1038. Determine h(12). -30 Let o(i) = 2*i**2 + 33*i - 96. What is o(-20)? 44 Let z(d) = 217*d**2 + 3*d - 123. What is z(0)? -123 Let n(t) = -t**2 - 160*t + 4016. What is n(22)? 12 Let j(m) = 9*m**3 +
{ "pile_set_name": "DM Mathematics" }
st integer? 4 What is 204 to the power of 1/4, to the nearest integer? 4 What is the eighth root of 46 to the nearest integer? 2 What is 634 to the power of 1/4, to the nearest integer? 5 What is 62851 to the power of 1/3, to the nearest integer? 40 What is the seventh root of 16397 to the nearest integer? 4 What is the fourth root of 28271 to the nearest integer? 13 What is 944 to the power of 1/5, to the nearest integer? 4 What is 49847 to the power of 1/3, to the nearest integer? 37 What is the third root of 5449 to the nearest integer? 18 What is 2231 to the power of 1/3, to the nearest integer? 13 What is the seventh root of 48 to the nearest integer? 2 What is the cube root of 1782 to the nearest integer? 12 What is the fourth root of 3867 to the nearest integer? 8 What is the square root of 5699 to the nearest integer? 75 What is 3928 to the power of 1/2, to the nearest integer? 63 What is 58033 to the power of 1/9, to the nearest integer? 3 What is the cube root of 2029 to the nearest integer? 13 What is the seventh root of 4623 to the nearest integer? 3 What is the square root of 36530 to the nearest integer? 191 What is the fourth root of 1814 to the nearest integer? 7 What is the square root of 30600 to the nearest integer? 175 What is the square root of 8391 to the nearest integer? 92 What is 43647 to the power of 1/2, to the nearest integer? 209 What is 1825 to the power of 1/2, to the nearest integer? 43 What is 68 to the power of 1/3, to the nearest integer? 4 What is the square root of 10964 to the nearest integer? 105 What is the seventh root of 2141 to the nearest integer? 3 What is the square root of 59844 to the nearest integer? 245 What is the square root of 1987 to the nearest integer? 45 What is 3868 to the power of 1/2, to the nearest integer? 62 What is the fifth root of 3365 to the nearest integer? 5 What is the third root of 6686 to the nearest integer? 19 What is 19350 to the power of 1/6, to the nearest integer? 5 What is the cube root of 3052 to the nearest integer? 15 What is the seventh root of 55838 to the nearest integer? 5 What is the third root of 2804 to the nearest integer? 14 What is the eighth root of 1043 to the nearest integer? 2 What is the cube root of 68727 to the nearest integer? 41 What is the ninth root of 2174 to the nearest integer? 2 What is the square root of 39572 to the nearest integer? 199 What is the cube root of 831 to the nearest integer? 9 What is the square root of 9728 to the nearest integer? 99 What is the eighth root of 84 to the nearest integer? 2 What is the square root of 3914 to the nearest integer? 63 What is 40496 to the power of 1/3, to the nearest integer? 34 What is 10464 to the power of 1/2, to the nearest integer? 102 What is 164 to the power of 1/2, to the nearest integer? 13 What is the tenth root of 13590 to the nearest integer? 3 What is 50455 to the power of 1/2, to the nearest integer? 225 What is 8133 to the power of 1/2, to the nearest integer? 90 What is the square root of 26382 to the nearest integer? 162 What is the third root of 303 to the nearest integer? 7 What is the seventh root of 7534 to the nearest integer? 4 What is 685 to the power of 1/3, to the nearest integer? 9 What is 740 to the power of 1/2, to the nearest integer? 27 What is the square root of 157380 to the nearest integer? 397 What is the square root of 3585 to the nearest integer? 60 What is 14548 to the power of 1/10, to the nearest integer? 3 What is the square root of 4656 to the nearest integer? 68 What is the eighth root of 16188 to the nearest integer? 3 What is the ninth root of 981 to the nearest integer? 2 What is the cube root of 11517 to the nearest integer? 23 What is 1325 to the power of 1/3, to the nearest integer? 11 What is 135806 to the power of 1/8, to the nearest integer? 4 What is 10111 to the power of 1/10, to the nearest integer? 3 What is the fourth root of 4551 to the nearest integer? 8 What is 112979 to the power of 1/3, to the nearest integer? 48 What is the cube root of 930 to the nearest integer? 10 What is 98453 to the power of 1/3, to the nearest integer? 46 What is the square root of 1403 to the nearest integer? 37 What is the square root of 98577 to the nearest integer? 314 What is the sixth root of 32635 to the nearest integer? 6 What is 6672 to the power of 1/9, to the nearest integer? 3 What is 1909 to the power of 1/6, to the nearest integer? 4 What is the square root of 24676 to the nearest integer? 157 What is 23144 to the power of 1/3, to the nearest integer? 28 What is the square root of 11177 to the nearest integer? 106 What is 115784 to the power of 1/6, to the nearest integer? 7 What is the square root of 56876 to the nearest integer? 238 What is the cube root of 8265 to the nearest integer? 20 What is 6989 to the power of 1/2, to the nearest integer? 84 What is 456 to the power of 1/2, to the nearest integer? 21 What is the fourth root of 1806 to the nearest integer? 7 What is the third root of 36194 to the nearest integer? 33 What is 149583 to the power of 1/3, to the nearest integer? 53 What is the third root of 2891 to the nearest integer? 14 What is 121 to the power of 1/6, to the nearest integer? 2 What is 12521 to the power of 1/3, to the nearest integer? 23 What is the cube root of 79293 to the nearest integer? 43 What is 47509 to the power of 1/3, to the nearest integer? 36 What is 2916 to the power of 1/4, to the nearest integer? 7 What is 9947 to the power of 1/3, to the nearest integer? 22 What is 36785 to the power of 1/2, to the nearest integer? 192 What is the cube root of 2958 to the nearest integer? 14 What is 58050 to the power of 1/6, to the nearest integer? 6 What is the square root of 95459 to the nearest integer? 309 What is 10364 to the power of 1/3, to the nearest integer? 22 What is 34512 to the power of 1/5, to the nearest integer? 8 What is 5421 to the power of 1/10, to the nearest integer? 2 What is 5624 to the power of 1/9, to the nearest integer? 3 What is the square root of 28700 to the nearest integer? 169 What is 359 to the power of 1/9, to the nearest integer? 2 What is the cube root of 90712 to the nearest integer? 45 What is the cube root of 90516 to the nearest integer? 45 What is the eighth root of 9133 to the nearest integer? 3 What is the tenth root of 1466 to the nearest integer? 2 What is the eighth root of 16655 to the nearest integer? 3 What is 90734 to the power of 1/8, to the nearest integer? 4 What is the fifth root of 2888 to the nearest integer? 5 What is the cube root of 3717 to the nearest integer? 15 What is 3152 to the power of 1/3, to the nearest integer? 15 What is the fifth root of 70507 to the nearest integer? 9 What is 2067 to the power of 1/3, to the nearest integer? 13 What is the square root of 1556 to the nearest integer? 39 What is the fifth root of 533 to the nearest integer? 4 What is the seventh root of 6743 to the nearest integer? 4 What is 6581 to the power of 1/10, to the nearest integer? 2 What is the cube root of 1192 to the nearest integer? 11 What is 12245 to the power of 1/3, to the nearest integer? 23 What is the square root of 17489 to the nearest integer? 132 What is the seventh root of 713 to the nearest integer? 3 What is the seventh root of 7508 to the nearest integer? 4 What is the fourth root of 1435 to the nearest integer? 6 What is 2136 to the power of 1/4, to the nearest integer? 7 What is 72572 to the power of 1/2, to the nearest integer? 269 What is the third root of 6269 to the nearest integer? 18 What is 760 to the power of 1/2, to the nearest integer? 28 What is the tenth root of 27932 to the nearest integer? 3 What is 281 to the power of 1/2, to the nearest integer? 17 What is the fourth root of 753 to the nearest integer? 5 What is the square root of 38999 to the nearest integer? 197 What is 3275 to the power of 1/2, to the nearest integer? 57 What is the square root of 33855 to the nearest integer? 184 What is 1927 to the power of 1/2, to the nearest integer? 44 What is the third root of 1268 to the nearest integer? 11 What is 5639 to the power of 1/9, to the nearest integer? 3 What is the cube root of 72553 to the nearest integer? 42 What is 1701 to th
{ "pile_set_name": "DM Mathematics" }
u**2 - 1032243*u + 1027179. 3*(u - 183)*(u - 1)*(u + 1871) Factor 5*c**2/3 + 82249570*c/3 + 338249588259245/3. 5*(c + 8224957)**2/3 Let 737555*h**5 + 4425320*h**4 - 8113165*h**3 - 44253190*h**2 + 73756100*h - 1000 = 0. What is h? -5, 2/147511, 2 Determine v, given that -791*v**4/3 + 10954*v**3/3 - 24424*v**2/3 - 3946*v/3 - 11 = 0. -1/7, -1/113, 3, 11 Factor 2*s**2/9 - 19885612*s/3 + 59656834/9. 2*(s - 29828417)*(s - 1)/9 Suppose -3*g**5 - 18*g**4 + 1173*g**3 + 1668*g**2 - 95220*g + 92400 = 0. What is g? -20, -11, 1, 10, 14 Factor a**3/2 + 151*a**2 + 5136*a + 31680. (a + 8)*(a + 30)*(a + 264)/2 Factor -3*n**2 - 262755*n + 2102232. -3*(n - 8)*(n + 87593) Determine u so that -25*u**2/4 + 6942055*u/4 + 1388415 = 0. -4/5, 277683 Factor o**3/5 + 17597*o**2 - 703929*o/5 + 263979. (o - 5)*(o - 3)*(o + 87993)/5 Determine m, given that 3*m**4 + 25437*m**3 + 53601765*m**2 + 107127231*m + 53550900 = 0. -4577, -3900, -1 Determine a so that -a**4/5 + 14734*a**3/5 - 54901824*a**2/5 + 4629529696*a/5 - 12015578624 = 0. 16, 70, 7324 Determine b, given that -1355*b**5 - 62255*b**4 - 50750*b**3 + 303810*b**2 - 199575*b + 10125 = 0. -45, -3, 15/271, 1 Factor 312*o**2 - 22626243*o/8 + 27195/8. 3*(o - 9065)*(832*o - 1)/8 Let a**2/4 - 81483603*a/2 + 6639577557861609/4 = 0. Calculate a. 81483603 Factor i**2/8 + 6300526*i + 79393255753352. (i + 25202104)**2/8 Factor d**3 - 2142068*d**2 - 10710365*d. d*(d - 2142073)*(d + 5) Let -4*l**3 - 4442612*l**2 + 39983800*l - 35541184 = 0. Calculate l. -1110662, 1, 8 Factor o**3/7 - 28989*o**2/7 + 2891400*o/7 - 10317500. (o - 28889)*(o - 50)**2/7 Determine p, given that -12*p**2/5 - 400396*p/5 + 533968 = 0. -33373, 20/3 Solve 5*z**5 - 12790*z**4 + 89375*z**3 - 229690*z**2 + 255140*z - 102040 = 0 for z. 1, 2, 2551 Suppose -460*i**3 + 605208*i**2 + 200512*i - 631680 = 0. What is i? -6/5, 20/23, 1316 Factor -v**2/3 + 14500527*v - 43501580/3. -(v - 43501580)*(v - 1)/3 Factor 180*g**2 + 201*g - 318. 3*(g + 2)*(60*g - 53) Let 27*v**4 - 30681*v**3 - 2164209*v**2 - 1432575*v - 238194 = 0. Calculate v. -66, -1/3, 1203 Factor 3*o**2/4 + 512613*o/4 - 512625. 3*(o - 4)*(o + 170875)/4 Factor 305*i**2/6 + 9327515*i/6 + 25485. 5*(i + 30582)*(61*i + 1)/6 Find r such that -3*r**5/2 + 7239*r**4/2 - 4230681*r**3/2 - 164717175*r**2/2 - 567236250*r = 0. -28, -9, 0, 1225 Suppose -3*b**5 + 10212*b**4 + 133263*b**3 = 0. Calculate b. -13, 0, 3417 Factor -q**3 - 936*q**2 - 121325*q + 761862. -(q - 6)*(q + 163)*(q + 779) Let 286*o**5/15 + 512986*o**4/5 + 24444368*o**3/5 + 175288312*o**2/3 - 8875648*o/5 - 8191488/5 = 0. What is o? -5333, -24, -2/13, 2/11 Find p such that 2*p**3/9 + 4409428*p**2/9 - 194017736*p/9 + 2134205744/9 = 0. -2204758, 22 Factor f**2/3 + 8720*f/3 - 228748. (f - 78)*(f + 8798)/3 Factor -x**2/2 + 4577769*x/2 - 2288884. -(x - 4577768)*(x - 1)/2 What is o in 4*o**3 - 22856*o**2 + 205436*o - 319480 = 0? 2, 7, 5705 Find l such that 9*l**5/4 - 106275*l**4/2 - 549300*l**3 - 1311285*l**2/2 - 637929*l/4 = 0. -9, -1, -1/3, 0, 23627 What is r in -2*r**2/5 - 158654*r/5 - 8403044/5 = 0? -79274, -53 Factor 3*p**2/7 + 7668*p/7 + 650727. 3*(p + 939)*(p + 1617)/7 Determine g, given that -g**2/4 + 10533*g/2 - 4895285/4 = 0. 235, 20831 Suppose -160*r**3 - 131336*r**2 - 98432*r - 16402 = 0. What is r? -8201/10, -1/2, -1/4 Suppose l**4 + 8770*l**3 + 435999*l**2 - 8770*l - 436000 = 0. Calculate l. -8720, -50, -1, 1 Factor -2*q**2 + 5461950*q - 27309700. -2*(q - 2730970)*(q - 5) Solve -3*i**2 + 1069938*i - 43862415 = 0 for i. 41, 356605 Suppose -2*i**5/13 - 316*i**4/13 + 3124*i**3 + 1723016*i**2/13 - 40610*i/13 - 1722700/13 = 0. What is i? -230, -35, -1, 1, 107 Let 2*j**4/3 - 2262*j**3 + 5164892*j**2/3 + 341653368*j + 4994828720/3 = 0. Calculate j. -158, -5, 1778 Factor d**3/7 - 5320535*d**2/7 + 7077015190747*d/7 + 21231093457083/7. (d - 2660269)**2*(d + 3)/7 Solve -2*p**3 + 264098*p**2 - 8718601248*p + 8718337152 = 0 for p. 1, 66024 Let 29*c**3/3 + 22092*c**2 + 1856659*c/3 - 640988 = 0. Calculate c. -2257, -852/29, 1 What is i in -2*i**2 - 7926*i - 2035224 = 0? -3687, -276 Let 3*a**2 - 60488880*a - 60488883 = 0. Calculate a. -1, 20162961 Let -2*k**4/13 + 96366*k**3/13 + 3471120*k**2/13 + 31245912*k/13 = 0. Calculate k. -18, 0, 48219 What is m in -16*m**5 - 350*m**4 - 432*m**3 + 18136*m**2 - 14272*m - 99456 = 0? -14, -111/8, -2, 4 Suppose -2*l**3/7 - 22234*l**2/7 - 155420*l/7 + 1333200/7 = 0. What is l? -11110, -12, 5 Factor -4*l**3 - 252*l**2 + 1300*l + 50700. -4*(l - 15)*(l + 13)*(l + 65) Factor 4*p**3 + 172988*p**2 - 6579476*p - 6752460. 4*(p - 39)*(p + 1)*(p + 43285) What is a in 28*a**5 - 2696*a**4 + 62228*a**3 - 203368*a**2 - 1132320*a + 338688 = 0? -3, 2/7, 8, 28, 63 Determine s, given that -20*s**5 + 20422*s**4 - 63108*s**3 - 8182*s**2 + 38672*s + 12216 = 0. -1/2, -2/5, 1, 3, 1018 Solve -5*m**4 + 8640*m**3 + 453905*m**2 - 462540*m = 0. -52, 0, 1, 1779 Factor -625*s**3/4 - 397825*s**2/2 - 71307736*s - 4920411240. -(s + 90)*(25*s + 14788)**2/4 Suppose -g**5/5 - 80*g**4 + 9312*g**3/5 + 11698*g**2/5 - 49727*g/5 + 29118/5 = 0. What is g? -422, -3, 1, 23 Factor 2*t**2/3 + 636784432*t/3 + 50686801604695328/3. 2*(t + 159196108)**2/3 Find p such that -2*p**4/3 + 5160674*p**3/3 - 5160670*p**2 + 15482006*p/3 - 5160668/3 = 0. 1, 2580334 Suppose -5*g**2 - 12430*g - 5645120 = 0. What is g? -1888, -598 Factor o**2/3 - 2366*o/3 + 791089/3. (o - 1963)*(o - 403)/3 Let -2*z**2/11 + 21056*z/11 + 167910 = 0. Calculate z. -87, 10615 Solve 3*p**3 + 10971036*p**2 + 32913087*p + 21942054 = 0 for p. -3657009, -2, -1 Factor 2*j**3 + 1775688*j**2 + 394026921288*j - 47308803917760. 2*(j - 120)*(j + 443982)**2 Find p, given that p**3/2 + 2027*p**2 - 130617*p/2 + 275805 = 0. -4086, 5, 27 Suppose 7*u**3/4 - 729668*u**2 + 14593213*u/4 - 2918637 = 0. What is u? 1, 4, 2918637/7 Let g**3/4 - 195*g**2/2 - 64009*g/4 - 94245/2 = 0. What is g? -122, -3, 515 Factor l**3/2 - 11831*l**2/2 - 308113*l/2 - 2003833/2. (l - 11857)*(l + 13)**2/2 Determine h so that 3*h**3/2 + 1927305*h**2/2 - 6745653*h - 7709304 = 0. -642442, -1, 8 Find f such that -5*f**4 + 533390*f**3 + 163033560*f**2 + 12358258290*f - 12521825235 = 0. -153, 1, 106983 Let 3*w**3/7 + 62001*w**2/7 + 185814*w = 0. Calculate w. -20646, -21, 0 Solve -4*r**4 - 1904*r**3 + 872428*r**2 + 410075864*r - 2491446144 = 0. -473, 6, 464 Factor 5*j**3 + 1236220*j**2 - 3708695*j + 2472470. 5*(j - 2)*(j - 1)*(j + 247247) Solve 5*l**3 - 76575*l**2 - 1456640*l - 1380060 = 0 for l. -18, -1, 15334 Factor i**4 + 228330*i**3 + 13032277173*i**2 - 156411986580*i + 469260620676. (i - 6)**2*(i + 114171)**2 Suppose m**4/7 + 21295201*m**3/7 = 0. What is m? -21295201, 0 Factor 3*t**2/8 - 146193*t/4 - 16675749/8. 3*(t - 97519)*(t + 57)/8 Suppose -3*d**4/2 - 90255*d**3 - 1082871*d**2/2 + 2436642*d = 0. What is d? -60164, -9, 0, 3 Suppose 44*z**2 - 6852144*z - 9966848 = 0. What is z? -16/11, 155732 Let 5*q**2 - 8030480*q + 8030475 = 0. Calculate q. 1, 1606095 Find s, given that -2*s**3 + 333064*s**2 - 333062*s = 0. 0, 1, 166531 Factor q**2/2 + 5257*q/2 + 677960. (q + 272)*(q + 4985)/2 Factor 2631*x**2/2 + 290722*x - 1547/2. (x + 221)*(2631*x - 7)/2 Let -20020756495936*c**2 - 447445600*c - 2500 = 0. What is c? -25/2237228 Factor o**5 - 1015742*o**4 + 2031481*o**3 - 1015740*o**2. o**2*(o - 1015740)*(o - 1)**2 What is r in -7*r**5 - 1111*r**4 - 27749*r**3 - 113981*r**2 + 553068*r - 410220 = 0? -129, -159/7, -10, 1, 2 Find g, given that -g**2 + 36115*g - 2810886 = 0. 78, 36037 Factor -2*d**2/11 + 97566*d/11 + 1854476/11. -2*(d - 48802)*(d + 19)/11 Suppose w**4/7 - 1911*w**3 - 3*w**2/7 + 40133*w/7 - 3822 = 0. What is w? -2, 1, 13377 Suppose -5*k**4 + 37222440*k**3 - 69275539200110*k**2 + 138550966732920*k - 69275464755245 = 0. Calculate k. 1, 3722243 Let 93479566445*u**3 + 186924949640*u**2 - 68363375*u + 6250 = 0. What is u? -2, 25/136733 Factor 2*z**2 + 3570*z - 1904900. 2*(z - 430)*(z + 2215) Let -3*h**5/2 - 918*h**4 - 141393*h**3/2 - 459378*h**2 - 643290*h = 0. What is h? -523, -82, -5, -2, 0 Let -2*u**3/11 - 494*u**2/11 + 3937100*u/11 + 51261392/11 = 0. Calculate u. -1526, -13, 1292 Factor -8*v**2 + 12854*v - 38490. -2*(v - 3)*(4*v - 6415) Find x, given that 34*x**3/5 + 448162*x**2/5 - 337512*x + 316440 = 0. -13185, 30/17, 2 Find o, given that -3*o**2 + 88334
{ "pile_set_name": "DM Mathematics" }
o, 4*o - a - 4 = 0 for o. 0 Solve 0 = 4*q - 16, -2*g - 311 = -3*q - 297 for g. -1 Solve 38*a - 41*a + 2*t = 10 - 0, -3*a - 6 = -3*t for a. -6 Solve -4*s = 2*k - 6*s + 10, 4*k - 5*s = -26 for k. 1 Solve 4*u + 87 = 8*h - 3*h, u = -3*h - 9 for h. 3 Solve 3*d = z - 94, 34*z + 5*d + 20 = 6 for z. 4 Solve 9*v - 4*x - 69 = 0, 705*v - 704*v = 5*x + 76 for v. 1 Solve -20 = 4*d, -32*y + 29 = -28*y - 5*d for y. 1 Solve -1566*m = -1570*m - 5*g + 6, 2*g = 6*m + 10 for m. -1 Solve -37 = 67*u - 68*u - 5*k, 3*u = -k - 1 for u. -3 Solve -32*j = 3*g - 33*j + 28, 8*g = 2*j - 14 - 58 for g. -8 Solve -5*p + 8*v = -22, -10*p - 4*v - 8 = -14*p for p. -2 Solve 23*v = 25*v + 10, -2*p - 5*v = 29 for p. -2 Solve 34*d = 38*d - 28, -50 = 3*g + 78*d - 83*d for g. -5 Solve -917*b + 30 = -912*b + n, 3*b - 18 = 2*n for b. 6 Solve -3*s + 10*y = 12*y + 25, 2*y + 31 = -5*s for s. -3 Solve -3*a - q = -26, -178 + 173 = 5*q for a. 9 Solve g = 5*j - 14, -2*g = -117*j + 120*j + 2 for g. -4 Solve 32 = -4*g + 4*a, 0 = 2*g - 5*a - 129 + 160 for g. -3 Solve -4*n - 4529 = u - 4508, n - 3*u = -15 for n. -6 Solve -3*q + 5*s - 20 = 0, q - 14 = 9037*s - 9025*s for q. -10 Solve -16*z = -v - 68, 3*v + 42 - 14 = 4*z for z. 4 Solve 3*f - 2*u + 13 = -7*u, -4*f + 3*u + 31 = 0 for f. 4 Solve -239*k = -243*k - 5*p + 38, -4*k = p - 14 for k. 2 Solve 492*s - 4*g - 16 = 488*s, -2*g + 6 = 5*s for s. 2 Solve -856 + 790 = 2*u - 4*m, m + 6 = -4*u for u. -5 Solve -4*q - 12 = -4*g, 2*g + 18704*q - 2 = 18708*q for g. 5 Solve -3*k + k - 12 = -2*h, 0 = k + 2*h - 3 for k. -3 Solve 23*i - 20*i - 2*b - 23 = 0, 5*i - 30 = 5*b for i. 11 Solve 1 = -4*g - a, 3*g - 3*a + 23 = -11*g for g. -1 Solve -3*z = -2*v - 9, -4*v = -v - 3*z + 12 for v. -3 Solve 0 = -y - 3*l - 5578 + 5567, -4*y + 20 = -4*l for y. 1 Solve -4*i = q + 16 - 26, q + 10*i + 5 = 11*i for q. -2 Solve -22*t + 14 = -6*d - 20*t, -5*d + 3*t = 9 for d. -3 Solve 2*m = -f + 5*f - 24, 0 = -11*m - 5*f - 51 for m. -6 Solve 24*g = 23*g - 4, -12*l + 7*l + 2*g = 37 for l. -9 Solve 0*f + 5*f - 35 = 0, -95*y - 45 = -97*y - 5*f for y. 5 Solve 2*l + 43 = -5*t, 51*t + 53*l = 55*l - 349 for t. -7 Solve 0 = -3*p + 3*b + 899 - 884, 5*p = 2*b + 19 for p. 3 Solve 0 = -5*t + 4*i - 13, 3*t + 179*i + 1 = 178*i for t. -1 Solve 0 = -4*f - 8, -2*m = 4*f - 9*f - 12 for m. 1 Solve 0 = -w + 5*d - 9, -w + 3 = -d + 8 for w. -4 Solve -5*m = 5*v - 45, 5*m + v = -5298 + 5303 for m. -1 Solve 198*o + 20 = 196*o + 3*w, -o + 2*w - 12 = 0 for o. -4 Solve -2*k + 7*k + o = -40, 3*o + o = -22 + 2 for k. -7 Solve 2*q - 2*t = 22, -5*t + 46 = -3*q + 89 for q. 6 Solve 2*o + 14 = -5*p, -271*o = -267*o + 8 for p. -2 Solve -2*a - 3*a + 4*a - 12 = -3*q, -2*a = 10*q - 40 for a. 0 Solve -a = -5*x + 85, 249*a - 246*a + 39 = 3*x for x. 18 Solve -5*v = 946*l - 947*l + 2, 3*l + 2*v = -11 for l. -3 Solve 4*w - 3*y = 31, 3*w + 5*y = -74 + 61 for w. 4 Solve -3*u = 5*z - 8*u + 50, 2*u - 14 = z for z. -6 Solve -2*k - 36 = 192*w - 193*w, 4*w = -k - 36 for w. -4 Solve 0 = -4*o + 20, 29 = -2*v - o + 30 for v. -2 Solve 218*j - 213*j - 3*p = -3, 5*p + 11 = 3*j for j. -3 Solve 5*v = -3*f - 18, 5*v - 3*f - 23 + 35 = 0 for v. -3 Solve 4*q + 63 = 5*o, 405*q = 406*q - 2*o + 27 for q. 3 Solve 3*d - 26 = -4*z, 2*d - 4*z = -33 + 17 for d. 2 Solve 3*l + 3*o = -9, 2233*o - 2228*o = l - 27 for l. 2 Solve -4*q = -4*j - 60, -85 = 5*j - 368*q + 362*q for j. -5 Solve -5 = -5*i + 5*d, -5*i + 9*d - 14*d + 15 = 0 for i. 2 Solve -10 = 5*n + 5*t, -3 = 24*n - 25*n + 4*t for n. -1 Solve -4*l + 8 = -3*q, 21*q = -5*l + 25*q + 11 for l. -1 Solve d + 5*d - 7*d + 30 = 5*a + 10, -4*a = 4*d for a. 5 Solve -16*d + 8*d - 45 = -5*g, 4*g + 4*d - 36 = 0 for g. 9 Solve -51*l + 90*l - 201 = -2*d, -5*l = -5*d - 10 for l. 5 Solve 5*y - y - 17 = -5*v, 0 = 3*y - 3*v - 1 - 5 for y. 3 Solve -5*x - h = -14, 264*x = 260*x - h + 11 for x. 3 Solve -10 = -3*j + 5*j - 2*p, 2*p = 12 for j. 1 Solve -888*x = -5*y - 893*x - 35, -2*y + 4 = -4*x for y. -4 Solve 34*z + w - 1 = 39*z, -2*z = -4*w + 4 for z. 0 Solve 5*g - 23 = -4*c + 2*g, -411*g + 409*g = 4*c - 22 for c. 5 Solve -3 = -0*y + y - 0*y + k, 4*y = 2*k for y. -1 Solve -4*o - 3*h = h - 16, o + 203*h = 207*h - 41 for o. -5 Solve -11*h = -3*j - 8*h + 21, -5*h - 35 = j for j. 0 Solve 3*q + 3*d - 12 = 0, 0 = -5*q + 28*d + 306 - 154 for q. 8 Solve -4*o - 40 + 46 = -w, -5*o = 2*w + 25 for o. -1 Solve -o - 2210 + 2220 = -5*r, 4*o + 23 = -r for r. -3 Solve 1008*q + 2*g + 40 = 1010*q, -4*q + 32 = -g for q. 4 Solve 0 = y - f - 14, -136*f = -133*f + 27 for y. 5 Solve 0 = -18*o + 20*o + 15*o - 2*t + 106, 4 = 2*t for o. -6 Solve 2*l = -2*r - 14, 0 = -26*r + 23*r - 10*l - 35 for r. -5 Solve -73*o - 12 = -r - 69*o, 5*r + 9 = -3*o for r. 0 Solve k + 2*b = -1, -2*k - 42*b + 34*b = -6 for k. -5 Solve -33 = 4*r - 19*t + 14*t, -5 = -5*t for r. -7 Solve 0 = 376*b - 380*b - 5*p - 26, -428 = 4*b + 72*p for b. 1 Solve 4*b + 10422 = -5*m + 10426, 3*m + 2*b = 4 for m. 4 Solve 0 = -10*y - 9*y + o + 39, -2*o = -y + 6*y - 8 for y. 2 Solve -v - 4*d - 16 = 0, 89574*d = 4*v + 89572*d + 64 for v. -16 Solve -3*o + 28142 = -3*h + 28145, 3 = 3*o for h. 2 Solve -5*k - 5*y = -476 + 526, 5*k - 3*y = -18 for k. -6 Solve t - 5*i = 3*i + 21, i - 139 = 5*t - 166 for t. 5 Solve 3*a - 15 = 0, 3*u - 5*a = -51 + 20 for u. -2 Solve 53 = 9*k - 16*k - 5*o, -3*o = 5*k + 31 for k. 1 Solve -2*k = 5*i + 38, 60*k - 51*k = 2*i - 24 for k. -4 Solve 0 = 4*l + 3*z - 22, 487*z + 8 = 2*l + 488*z for l. 1 Solve -j - 11 = -852*q + 855*q, -3*j + 4*q + 32 = 0 for j. 4 Solve 0 = -2*a - 5*r - 1, 10*r - 10 = 5*a + 15*r for a. -3 Solve -42*i + 43*i = -2*g + 15, 0 = -3*g - 2*i + 22 for g. 8 Solve -a = 2*d - 10, 29*d + 28 = 33*d - 2*a for d. 6 Solve -48*z + 20 = -4*c, 21 = 2*z - 3*c + 40 for z. 1 Solve 2*s = -u - 12 + 19, -5*s + 19 = 2*u for u. -3 Solve -172*z + 169*z - 5*o = 20, 5*o - 5 = 2*z for z. -5 Solve -579 = -5*h + 3*s - 425, 0 = s - 2 for h. 32 Solve -t - 19*n + 3 = -17*n, -5*t = 5*n - 10 for t. 1 Solve 0 = -n + f - 10, 44*n = 48*n - 2*f + 42 for n. -11 Solve 30*p - 29*p = 2*i - 21, -3*i + 9 = 6*p for p. -3 Solve 5*i = -3*b + 57, 51*b - i = 47*b - 16 for b. -1 Solve 9*a + 4*c = 10*a - 1, -29 = -5*a - 4*c for a. 5 Solve 3*j = -3*s, 0 = 49*j - 52*j - 5*s + 6 for j. -3 Solve -4*b = -12, q + 5 = 20*b - 18*b for q. 1 Solve 5*l = -3*i - 5, -297*i + 3 = -299*i - 3*l for i. 0 Solve 2*w + 91956 - 91964 = -2*o, 5*w - 26 = -2*o for o. -2 Solve 4*f - 26 = -2*r, -5*r + 55*f = 53*f - 29 for r. 7 Solve 41*w - 45*w = -6*x - 16, 5*x + 20 = 2*w for w. -5 Solve -6*f = 3*v - 21, -13*f + 25 = 4*v - 8*f for v. 5 Solve -243*c + 246*c - 1 = -4*b, c = 4*b + 11 for b. -2 Solve 3*c + 7*p - 20 = 0, 2103*c - 5 = 2099*c - 5*p for c. -5 Solve -2*n = -446*u + 447*u + 4, -n + 4*u - 2 = 0 for n. -2 Solve 8*s - 3*t - 36 = 0, -3*s - 5*t - 8400 = -8389 for s. 3 Solve 4*v + 855 = 3*x + 853, 0 = 10*x + 2*v - 22 for x. 2 Solve t + 4*c + 24 = 0, -14*t + 9 = -10*t - 5*c for t. -4 Solve 0 = -2*b - 5*l - 47, 43774*l - 6 = 4*b + 43776*l for b. 4 Solve -31*y + t - 14 = -32*y, y = -5*t + 22 for y. 12 Solve 4*b - 16 = -2*q, 4*q - 2 = 6400*b - 6402*b for q. -2 Solve -2*q - 5 = -3*z, 174*q + 17 = 171*q - 5*z for q. -4 Solve 5*t = -70, 756*t + 53 = -3*r + 752*t for r. 1 Solve 2*a - 8 = -60*p + 56*p, p = 4*a - 7 for a. 2 Solve -20 = -2*l, 12*a = 9*a - l + 25 for a. 5 Solve -2*i - 31 + 17 = -6*h + 2*i - 40, -5*i = -10 for h. -3 Solve -2*w - 7*b + 10*b + 11 = 0, -b + 1 = 4*w for w. 1 Solve 4*x = 4*c - x + x - 12, -3*x + 23 - 32 = 0 for c. 0 Solve -2*o = -m, 22 = 3*m - 75*o + 80*o for m. 4 Solve s + 17 = -2*g + 6, -5*g - 20 = s for g. -3 Solve 2*f + 45 = -t + 50, 3 = 3*t - 6*f for t. 3 Solve -5*h = -5, -h - 16 = -56*g + 59*g - 41 for g. 8 Solve -3*h = a + 28, 61*a - 16 = 59*a + 3*h for a. -4 Solve 0 = -349*r + 344*r - 2*w + 74, 0 = 3*r - 2*w - 38 for r. 14 Solve 298*g + 2 + 3 = -4*u + 297*g, -u + 4*g = -20 for u. 0 Solve 5*s = -5*j + 25, -265*s = -269*s - 2*j + 12 for s. 1 Solve 2376 - 2322 = 5*s - 2*x, -11*s + 106 = 2*x for s. 10 Solve -8*g - 47 = -3*f, -5*g + 1113*f = 1114*f + 15 for g. -4 Solve 6*h = 5*o - 35, h - 13 + 19 = o for h. -5 Solve -5*k - g = -12, g + 408 - 406 = 2*k for k. 2 Solve 4*i + 76*n - 71*n + 30 = 0, 0 = 2*i + 3*n + 14 for i. -10 Solve 0 = -z + 5*y - 15, z - 3*y - 3 = -4*y for z. 0 Solve -711*n = -712*n - 5*j
{ "pile_set_name": "DM Mathematics" }
te -2620 divided by -2620. 1 Divide -18 by 2. -9 Divide -71 by 6. -71/6 7 divided by -65 -7/65 What is -4844 divided by 2? -2422 What is 3 divided by 731? 3/731 64 divided by 4 16 5433 divided by -3 -1811 Divide -3213 by 51. -63 -7630 divided by 5 -1526 Divide -2 by -5971. 2/5971 Calculate 1120 divided by 9. 1120/9 What is 4293 divided by -4? -4293/4 Calculate 4 divided by 35. 4/35 What is 2150 divided by -7? -2150/7 What is 547 divided by -5? -547/5 Divide -470 by 14. -235/7 Calculate -3720 divided by 31. -120 Divide 1600 by -32. -50 Divide -192 by 192. -1 Calculate 13 divided by -13. -1 What is 50 divided by 2? 25 Divide 2619 by 27. 97 Calculate -6 divided by 1154. -3/577 What is -27 divided by 2? -27/2 Calculate 3 divided by -1467. -1/489 -1052 divided by 3 -1052/3 440 divided by 2 220 What is 16415 divided by 6? 16415/6 Calculate -820 divided by -4. 205 What is 123 divided by 123? 1 Calculate -6 divided by 2. -3 Divide 828 by -276. -3 Calculate 554 divided by -1. -554 Calculate -24252 divided by 8084. -3 Calculate 1359 divided by 151. 9 -2 divided by -18 1/9 Calculate 81 divided by -14. -81/14 Divide 318 by 6. 53 Divide -135 by 27. -5 Divide 32 by -12. -8/3 What is 430 divided by 10? 43 Divide 700 by -175. -4 What is -1224 divided by 6? -204 What is 1952 divided by 32? 61 2940 divided by 294 10 Divide 9824 by 4. 2456 Calculate -53 divided by -53. 1 Divide 5 by 347. 5/347 Divide 11 by -210. -11/210 Divide -22 by 11. -2 -1224 divided by -5 1224/5 What is -720 divided by 144? -5 Divide -1778 by -889. 2 -206 divided by -6 103/3 647 divided by -5 -647/5 What is 70 divided by 14? 5 Divide -856 by 107. -8 -5 divided by 503 -5/503 -60 divided by 60 -1 Calculate -2959 divided by 2959. -1 What is 0 divided by -61? 0 What is 7 divided by 311? 7/311 494 divided by -494 -1 What is 649 divided by 1? 649 What is 1 divided by -1349? -1/1349 What is -874 divided by -1? 874 Divide 24 by 30. 4/5 Divide 3534 by -38. -93 Calculate -134 divided by 1. -134 -1227 divided by 6 -409/2 110 divided by -22 -5 51 divided by 12 17/4 Calculate 3 divided by -83. -3/83 Calculate 10 divided by -3090. -1/309 Divide -136 by 142. -68/71 What is 0 divided by 44? 0 -2650 divided by -6 1325/3 Divide -2245 by -2. 2245/2 Calculate -2085 divided by 5. -417 What is 0 divided by -39? 0 Calculate 0 divided by 30. 0 236 divided by -2 -118 What is 36 divided by 9? 4 Calculate -532 divided by 3. -532/3 Divide 245 by -5. -49 What is 1276 divided by 22? 58 Calculate -1080 divided by -6. 180 1 divided by 1514 1/1514 What is 16 divided by 4? 4 What is 320 divided by 64? 5 What is -9 divided by -3? 3 What is 5 divided by 443? 5/443 Divide -84650 by -5. 16930 Calculate -213 divided by -16. 213/16 -10279 divided by 2 -10279/2 Divide 312 by 78. 4 -14 divided by 19 -14/19 5 divided by 710 1/142 What is -30 divided by 29? -30/29 Divide 0 by -603. 0 Divide -4257 by 43. -99 Divide 66 by -3. -22 -19716 divided by -4 4929 Divide 345 by 69. 5 Divide -192 by -12. 16 What is 44 divided by -4? -11 Calculate 1 divided by 24. 1/24 Calculate -40 divided by 8. -5 Calculate 8 divided by -41. -8/41 Calculate 476 divided by -7. -68 Divide 38 by -56. -19/28 Calculate -3326 divided by 1663. -2 Calculate -19 divided by 8. -19/8 -420 divided by 21 -20 What is -16 divided by 39? -16/39 Calculate 462 divided by -6. -77 Divide 91 by -2. -91/2 What is -1300 divided by -130? 10 Divide -16770 by -5590. 3 What is -8393 divided by 1199? -7 Calculate -3708 divided by 2. -1854 Calculate 315 divided by 35. 9 Calculate -576 divided by 48. -12 Divide 300 by 12. 25 Divide -787 by -1. 787 15 divided by -4 -15/4 Calculate -3480 divided by -6. 580 8112 divided by 4056 2 Calculate -268 divided by 67. -4 4913 divided by -6 -4913/6 678 divided by 226 3 Divide 26 by 2. 13 What is 124 divided by 2? 62 156 divided by 2 78 Divide -2139 by -3. 713 Calculate -2532 divided by -5. 2532/5 What is -9089 divided by 149? -61 -2 divided by 1484 -1/742 Calculate 534 divided by -6. -89 Calculate -418 divided by -3. 418/3 Calculate 471 divided by 2. 471/2 What is -156 divided by 4? -39 -3395 divided by -5 679 Calculate 49 divided by 2. 49/2 Calculate -5 divided by -873. 5/873 Divide 6 by -52. -3/26 Divide 1905 by 381. 5 5 divided by -1306 -5/1306 Divide -3 by -161. 3/161 Calculate 1600 divided by -5. -320 Calculate 1 divided by -2834. -1/2834 What is 185 divided by 185? 1 What is 13734 divided by 2? 6867 Divide 390 by 15. 26 Calculate 7134 divided by -6. -1189 Calculate 25 divided by -19. -25/19 Divide -895 by -179. 5 Calculate -204 divided by 3. -68 Calculate -2388 divided by 6. -398 What is 5 divided by -70? -1/14 -1 divided by 1789 -1/1789 -3712 divided by -928 4 4512 divided by 6 752 What is -113 divided by 1? -113 Divide 2691 by 1. 2691 Calculate 19 divided by -5. -19/5 Divide -580 by -145. 4 Divide -3 by -4. 3/4 What is 25908 divided by 6? 4318 What is -396 divided by 3? -132 -4 divided by -1 4 What is -4524 divided by -5? 4524/5 Divide -109365 by -5. 21873 Calculate 99 divided by 4. 99/4 Calculate -2 divided by 6. -1/3 What is 224 divided by 4? 56 Divide -5 by -73. 5/73 Calculate 78 divided by 1. 78 What is -2550 divided by 6? -425 What is 3 divided by -233? -3/233 Calculate 6305 divided by -1261. -5 What is 293 divided by -293? -1 Calculate 2 divided by -1557. -2/1557 Divide 15 by -9. -5/3 Calculate 5 divided by -38. -5/38 Calculate 1362 divided by -6. -227 -2 divided by -33 2/33 Divide -1 by 164. -1/164 Divide 0 by 19. 0 Calculate 232 divided by -14. -116/7 3 divided by 95 3/95 What is 14 divided by -5? -14/5 Calculate 9232 divided by -4. -2308 550 divided by 5 110 Calculate 4 divided by 2377. 4/2377 Divide -76 by 19. -4 Divide -9 by -368. 9/368 Divide -1638 by 42. -39 115 divided by -23 -5 -14949 divided by 453 -33 Calculate 11 divided by -172. -11/172 What is 1128 divided by -47? -24 Calculate -10 divided by 20. -1/2 -12 divided by -4 3 3096 divided by -387 -8 Divide 40 by 20. 2 Calculate -32886 divided by -1827. 18 What is 4380 divided by -146? -30 Divide 1455 by -291. -5 7 divided by 4 7/4 What is -20244 divided by 7? -2892 What is 3 divided by -1136? -3/1136 -708 divided by -59 12 What is 46752 divided by 6? 7792 What is 244 divided by -1? -244 Calculate -32 divided by 35. -32/35 What is -1974 divided by -658? 3 Calculate 3039 divided by 3. 1013 Divide -192 by -4. 48 -13 divided by 3 -13/3 Divide -1069 by 2. -1069/2 Divide 68 by -17. -4 -28 divided by 6 -14/3 What is -10360 divided by 5? -2072 What is 350 divided by -2? -175 0 divided by 258 0 -1 divided by 1961 -1/1961 What is -1 divided by -7852? 1/7852 5 divided by 634 5/634 What is -11 divided by 997? -11/997 Calculate -5610 divided by 102. -55 Calculate -135 divided by -1. 135 -3 divided by -414 1/138 Divide 5 by -107. -5/107 What is -1714 divided by 1714? -1 What is -582 divided by -97? 6 What is 207 divided by 7? 207/7 -1 divided by 555 -1/555 Calculate 0 divided by -4626. 0 Divide -8470 by -1210. 7 What is -8612 divided by -1? 8612 Calculate -2 divided by 35. -2/35 Divide -34616 by 8654. -4 Calculate -6 divided by 1296. -1/216 Calculate 21110 divided by -3. -21110/3 What is -280 divided by -56? 5 -275 divided by 55 -5 What is -6 divided by 195? -2/65 Calculate -4 divided by 839. -4/839 Calculate -1 divided by -3359. 1/3359 Divide 519 by 173. 3 -4 divided by -194 2/97 Calculate -229 divided by -3. 229/3 What is 0 divided by -100? 0 Divide 85 by -17. -5 What is 650 divided by -10? -65 What is 1 divided by -288? -1/288 What is 1 divided by 97? 1/97 What is 2991 divided by 1? 2991 Calculate -18228 divided by -124. 147 Divide 88 by -44. -2 Calculate -6 divided by 450. -1/75 Calculate 3606 divided by 3. 1202 Calculate 48 divided by -24. -2 3 divided by 13 3/13 140 divided by 70 2 -15 divided by 3 -5 What is 4 divided by 10? 2/5 What is 0 divided by -443? 0 Divide -36 by 151. -36/151 Divide -51 by 9. -17/3 -4 divided by -330 2/165 What is 2 divided by 6? 1/3 Divide -31 by 31. -1 What is 9914 divided by -1? -9914 Divide -345 by -3. 115 Calculate -260 divided by -5. 52 -1224 divided by 102 -12 Calculate -67861 divided by 4. -67861/4 Divide -3157 by 11. -287 Calculate 2844 divided by -6. -474 -1224 divided by 8 -153 Divide 40 by -1. -40 What is 5 divided by 239? 5/239 -58 divided by 15
{ "pile_set_name": "DM Mathematics" }
(-242))/((-5)/(-5)). -2/11 Calculate (20/480*-2)/(1/(-8)). 2/3 Calculate (-2)/(-2)*-2*(-20)/(-24). -5/3 Calculate 1*35/21*36/40. 3/2 Evaluate ((-2)/1)/4*106/53. -1 What is the value of (-7)/((-70)/25)*(-12)/(-10)? 3 Calculate ((-15)/135*3)/(2/6). -1 What is the value of ((-5)/1)/(-5)*(-4)/(-7)? 4/7 Calculate (-3)/(-3)*(-180)/36. -5 What is (-15)/20*(-24)/(-63)? -2/7 Calculate (-6)/(-9*5/(-15)). -2 What is ((-5)/7)/(100/(-40))? 2/7 What is the value of (1/3)/(36/(-81))? -3/4 1/5*(-185)/148 -1/4 ((-135)/105)/(9/6) -6/7 (-6)/(-44)*(24/1)/(-6) -6/11 Calculate ((-1)/(-3))/(44/12). 1/11 Calculate 3*(-2)/((-10)/1). 3/5 What is the value of 0*-4*12/(-48)? 0 What is the value of (-10)/4*20/125? -2/5 (-9)/(-12)*116/957 1/11 What is ((-18)/12)/(45/(-12))? 2/5 Calculate (15/(-5))/(-6)*-10. -5 Evaluate 8/5*(-5)/2. -4 What is ((-80)/140)/((-46)/7)? 2/23 What is ((-17)/(-102))/(3/(-24))? -4/3 What is the value of 2/6*(-222)/(-37)? 2 Calculate 2/(5/((-30)/(-6))*-19). -2/19 (90/(-6))/3*1 -5 Evaluate 21*((-88)/(-24))/(-11). -7 What is 3*(-8)/32*-4? 3 Evaluate 340/(-102)*(-12)/(-70). -4/7 Evaluate (8/(-5))/((-14)/35*-1). -4 What is the value of (((-162)/9)/9)/16? -1/8 What is the value of 1*((-2)/(-5))/((-248)/(-155))? 1/4 What is the value of (-3)/3*(-72)/(-18)? -4 Calculate (-120)/16*4/(-6). 5 Calculate ((6/3)/6)/((-6)/90). -5 What is the value of (-24)/3*5/50*5? -4 (2/(-2))/(-2)*0/(-37) 0 What is the value of (-44)/(-11)*7/(-14)? -2 Calculate (-1)/(-2*((-54)/(-6))/144). 8 What is (-12)/(-42)*-3*(-21)/(-3)? -6 What is ((-8)/18)/(2/(-3))? 2/3 Calculate 42/9*207/(-138). -7 Calculate (20/16)/(-5)*0/5. 0 What is (-91)/(-39)*6/7? 2 (-2*-2*6/(-12))/8 -1/4 (2/(-5))/((-20)/(-100)) -2 Calculate (4/24)/((-6)/((-36)/6)). 1/6 What is the value of ((-51)/102)/((-11)/(-12)*-2)? 3/11 -2*1*2*144/96 -6 Evaluate 3/6*-8*8/(-32). 1 6/(-36)*5*(-6)/(-45) -1/9 300/80*2/5 3/2 What is the value of ((-54)/9)/(5*9/30)? -4 What is (1/(-28))/(21/(-49))? 1/12 (-2)/(-4)*35/(-14) -5/4 Evaluate ((-24)/(-154))/3*2030/(-580). -2/11 What is ((12/(-3))/12)/(-3)? 1/9 (11/(165/2))/((-2)/20) -4/3 What is the value of (-105)/21*4/10? -2 What is (-39)/13*10/6? -5 Evaluate 15/(-1)*5/15. -5 Calculate 2/(5/(75/10)). 3 Evaluate ((-21)/28)/((-39)/104). 2 -4*(3/4)/(-1) 3 What is the value of (-9)/168*(-16)/(-12)? -1/14 What is 11/(-88)*4*-2? 1 What is (8/2)/12*-9? -3 What is the value of (-52)/(-910)*14/6? 2/15 What is (22/((-1870)/153))/(1/(-5))? 9 Calculate (8/10)/(((-120)/(-50))/(-12)). -4 Calculate (3/(-2))/(((-108)/16)/(-9)). -2 Evaluate (((-567)/18)/21)/((-69)/(-4)). -2/23 Evaluate ((-1)/(-1))/((-11)/(-44)). 4 Calculate (((-5)/(-3))/5)/((-76)/1140). -5 Evaluate 0/(-2)*2/(24/6). 0 What is (518/(-6993))/(1/6)? -4/9 What is 2/(-3)*3/(-19)? 2/19 Evaluate (-52)/(-468)*(-15)/2. -5/6 What is 2*(200/48)/(-5)? -5/3 What is the value of ((15/12)/5)/(4/80)? 5 What is the value of 8*(153/18)/17? 4 Calculate (-6)/(-9)*(-324)/360. -3/5 What is the value of (3/15)/(9/45)? 1 Evaluate ((-1)/(-50)*5)/(18/30). 1/6 What is the value of (-5)/(((-30)/5)/(-6))? -5 What is -5*(-3)/(-15)*2? -2 Calculate ((-2)/(-3))/(3/((-126)/(-28))). 1 What is 13/1430*22*2/6? 1/15 What is ((-7)/(-35)*2/(-2))/(-2)? 1/10 1*-10*(-94)/235 4 What is (2/(-7))/((-9)/(315/20))? 1/2 Calculate 86/1505*(-14)/6. -2/15 What is the value of ((12/(-33))/(-1))/((-16)/(-88))? 2 ((-3)/(-27))/((-4)/12) -1/3 ((2/(-21))/1)/(68/(-306)) 3/7 Calculate ((-4)/30)/((-24)/60). 1/3 What is (86/344)/(15/(-18))? -3/10 What is (6/(-60)*4)/((-8)/5)? 1/4 Evaluate (-1)/(((-36)/(-10))/(4/10)). -1/9 Calculate (-2)/(11/((-44)/(-8))). -1 What is the value of ((20/(-25))/((-90)/25))/1? 2/9 Calculate ((49/105)/7)/((-2)/(-2)). 1/15 What is 0/2*1*87/(-87)? 0 Calculate ((-80)/(-12))/(12/9). 5 (-4*(-9)/468)/(-1) -1/13 What is the value of ((36/15)/(-2))/((-18)/60)? 4 What is the value of (48/(-20))/((-2)/5)? 6 0*-3*2/24 0 Evaluate 2/(-6)*10/((-140)/21). 1/2 Evaluate 1*22/(-44)*(-8)/(-22). -2/11 What is ((-8)/14)/(3/147*7)? -4 What is the value of 30/(-35)*(-4)/(-24)? -1/7 Evaluate (-3)/(-12)*(-6)/(-5)*2. 3/5 What is the value of 1/(-22)*136/(-34)? 2/11 What is the value of (-1*1)/(12/(112/(-28)))? 1/3 Calculate (22/22)/((-18)/(-6)). 1/3 Evaluate (2/(-2))/((-8)/(32/(-22))). -2/11 (-78)/(-91)*4/6 4/7 10*((-2)/10)/(10/(-20)) 4 Evaluate ((-20)/90)/((-1)/(3/2)). 1/3 What is the value of (2/(-18))/((-16)/(-96))? -2/3 What is ((-150)/75)/(1/((-1)/2))? 1 Calculate (18/(-12))/(1/(-2)*-1). -3 What is the value of (-2*(-11)/(-385))/(3/5)? -2/21 What is ((-24)/(-504))/(1*(-3)/18)? -2/7 What is (-3)/(-36)*(-68)/(-17)? 1/3 Evaluate 3/(-2)*(-9)/((-9)/2). -3 What is (8/(-24)*3)/1? -1 Evaluate (-9)/126*9/(-3)*-2. -3/7 What is (2/(-10)*3)/((-312)/390)? 3/4 Evaluate 1*-1*(-74)/481. 2/13 What is the value of (12/10)/((-14)/35)? -3 3*(-6)/9*15/10 -3 What is 1/((-2)/(-48)*4)? 6 What is the value of 2*57/(-38)*(-4)/(-3)? -4 Evaluate (-3)/(18/8)*(-6)/(-4). -2 What is (((-48)/40)/((-12)/(-30)))/5? -3/5 What is (-36)/(12/6)*1/(-2)? 9 Evaluate (3/54)/(((-14)/8)/(-7)). 2/9 ((-8)/78)/(322/483) -2/13 What is the value of ((-4)/10)/(136/(-510))? 3/2 Evaluate ((700/42)/(-10))/((-5)/18). 6 What is the value of (-9)/12*8/(-21)? 2/7 What is the value of ((-50)/(-2)*6/15)/(-2)? -5 (-4)/(-2)*((-7)/1)/42 -1/3 11/((-11)/(-1))*-2 -2 What is the value of 36/6*2/(-8)*-1? 3/2 What is 4/10*(-425)/(-34)? 5 What is (81/(-36))/((-15)/(-8))? -6/5 Calculate ((-3)/(-2))/(18/6). 1/2 Calculate 2*(-21)/(21/(-4)). 8 (10*(-5)/(-15))/((-4)/6) -5 What is (-102)/119*(-3)/((-72)/(-21))? 3/4 Calculate 408/272*(-2)/4. -3/4 Calculate ((-10)/4*(-8)/20)/1. 1 What is the value of ((-5)/90)/(2/6)? -1/6 What is ((-4)/(-5)*-1)/(1/5)? -4 What is the value of (1*(-1)/33)/((-23)/138)? 2/11 4/6*684/1140 2/5 What is the value of ((-12)/28)/(18/(-28))? 2/3 What is 4/(-10)*(-75)/120? 1/4 Evaluate ((-18)/135)/(16/(-40)). 1/3 Evaluate ((8/50)/(-2))/(179/895). -2/5 (-11)/(-22)*2/3 1/3 Evaluate (-4)/(-1)*30/(-24). -5 What is (-1*3/6)/(33/(-330))? 5 What is (27/81)/((-1)/2*-2)? 1/3 Evaluate (-16)/(-40)*9/(-6)*-5. 3 Calculate 12/(-10)*45/(-18). 3 What is (-3)/(-2)*((-36)/2)/9? -3 What is the value of ((-18)/168*-4)/((-3)/(-21))? 3 What is the value of (-5)/(-2)*-2*(-24)/(-30)? -4 Evaluate 117/26*(-9)/((-243)/12). 2 (712/(-89))/(1/(-1)) 8 What is ((-6)/(-15))/((-128)/(-80))? 1/4 96/(-48)*(-1)/(-18) -1/9 320/(-40)*(-1)/2 4 Evaluate (10/75)/((-5)/30). -4/5 What is (-10)/3*(-36)/96*-4? -5 Calculate (10/15)/(22/(-132)). -4 What is the value of (-2*1/2)/((-26)/(-4))? -2/13 What is ((-22)/(-33))/(2/(-6))? -2 ((-3)/(-6))/(3/((-24)/28)) -1/7 Calculate (((-21)/(-2))/7)/(54/(-8)). -2/9 What is 4/(((-2)/4)/((-88)/(-13024)))? -2/37 (-30)/35*(-14)/(-3) -4 Evaluate 50/(-20)*(-32)/680. 2/17 Calculate (15/(-105))/((-8)/7). 1/8 Calculate ((-98)/84)/(7/(-3)). 1/2 (-4)/((-72)/9)*12 6 What is the value of (4/(-9))/((-66)/33)? 2/9 (-4)/20*3*25/5 -3 What is (2/(8*-2))/((-54)/(-360))? -5/6 What is 5*((-2)/(-3))/(12/18)? 5 Calculate -3*(4/(-14))/((-135)/(-63)). 2/5 Calculate 6/(-2)*(-27)/(-162). -1/2 What is 3/1*152/342? 4/3 ((8/10)/4)/(2/(-6)) -3/5 Calculate 17/34*(1/1)/2. 1/4 Evaluate 3/7*10/(-15). -2/7 What is (2/6)/((-30)/(-15))*3? 1/2 What is the value of ((-20)/6)/(10/15)? -5 Evaluate (-10)/(-12)*24/30*12. 8 What is the value of ((-12)/(-15)*-1)/((-6)/(-30))? -4 What is the value of (-30)/9*6/45*9? -4 What is (36/80)/3*26/(-39)? -1/10 Calculate 1/2*2/(-7). -1/7 What is (((-180)/(-5))/(-6))/(6/(-8))? 8 Calculate 16/(-64)*((-8)/22)/1. 1/11 What is (6/4)/(8/(-16))? -3 What is 2/1*4/40? 1/5 Calculate (-11)/(-55)*6/2. 3/5 Evaluate (-14)/56*0/4. 0 Evaluate (-4)/30*295/(-59). 2/3 What is ((-1)/(-2))/(1/(-8))? -4 What is the value of 5/((-75)/6)*10/(-16)? 1/4 Evaluate 3/(-9)*(-12)/28. 1/7 What is the value of (-24)/(-63)*(-14)/12? -4/9 What is (-2)/(-2)*0/5? 0 What is the value of (4/(-15))/(2*1/3)? -2/5 (15*(-2)/(-18))/((-2)/(-6)) 5 What is the value of (4/(-14))/(7/392*-4)? 4 Evaluate (216/(-810))/((6/(-9))/(-1)). -2/5 (-8)/6*((-729)/(-252))/(-27) 1/7 What is the value of (-12)/(-63)*(-6)/2? -4/7 What is the value of (1*-5)/((-49)/(-49))? -5 Calculate (-2)/(-2)*(24/(-14))/(-6). 2/7 Evaluate 3/2*2/(-12)*-1. 1/4 What is ((-20)/(-50))/(2/20)? 4 Evaluate ((-70)/(-77))/(12/33). 5/2 What is
{ "pile_set_name": "DM Mathematics" }
ment from {x: 9, y: 11}. What is prob of sequence yxyy? 99/1292 Two letters picked without replacement from oroov. What is prob of sequence ro? 3/20 Four letters picked without replacement from dbwqqdqtqwdqq. What is prob of sequence qqdd? 3/286 Three letters picked without replacement from gyykrmeg. Give prob of sequence mky. 1/168 Three letters picked without replacement from {o: 1, s: 1, x: 1, h: 2}. What is prob of sequence xho? 1/30 Three letters picked without replacement from svtyktlvs. What is prob of sequence sst? 1/126 Two letters picked without replacement from ccpqiic. Give prob of sequence ip. 1/21 Calculate prob of sequence ff when two letters picked without replacement from ffffhhfffff. 36/55 What is prob of sequence al when two letters picked without replacement from aaalqaq? 2/21 Four letters picked without replacement from wppiprd. What is prob of sequence rppd? 1/140 Three letters picked without replacement from cocpoopcppoooooooooo. Give prob of sequence cpo. 13/570 Four letters picked without replacement from flifclf. Give prob of sequence ffll. 1/70 Calculate prob of sequence ng when two letters picked without replacement from ujngjua. 1/42 Two letters picked without replacement from lppfplpvjf. What is prob of sequence lj? 1/45 Two letters picked without replacement from {k: 1, i: 1, l: 8, a: 3, v: 1, n: 2}. What is prob of sequence iv? 1/240 Three letters picked without replacement from bpbpbppbbbpbbppbbppp. What is prob of sequence pbb? 5/38 Three letters picked without replacement from {o: 4, u: 4, x: 1, c: 1}. Give prob of sequence ouo. 1/15 Four letters picked without replacement from sppzspzpa. Give prob of sequence pazs. 1/189 Four letters picked without replacement from {o: 1, e: 1, l: 2, a: 2, h: 4, f: 5}. Give prob of sequence flle. 1/3276 Two letters picked without replacement from ije. Give prob of sequence ij. 1/6 Calculate prob of sequence qj when two letters picked without replacement from {m: 1, q: 4, f: 2, p: 1, j: 1}. 1/18 Calculate prob of sequence koyw when four letters picked without replacement from {l: 2, w: 2, o: 2, y: 2, k: 4}. 4/1485 What is prob of sequence ipig when four letters picked without replacement from iivvvvvvgiipjigv? 1/1092 Three letters picked without replacement from zccow. Give prob of sequence woc. 1/30 Four letters picked without replacement from ytytyyttyyyttyyt. What is prob of sequence tyyy? 21/260 Two letters picked without replacement from {a: 1, v: 2, f: 1, z: 1}. Give prob of sequence va. 1/10 What is prob of sequence beb when three letters picked without replacement from xbxxgexexxeb? 1/220 What is prob of sequence ihii when four letters picked without replacement from oohohiihiiohohiiii? 7/306 Three letters picked without replacement from izfnnfnnfmfmin. What is prob of sequence fzf? 1/182 Four letters picked without replacement from yllaac. Give prob of sequence cala. 1/90 Four letters picked without replacement from dddadddddddaaaaddd. Give prob of sequence adaa. 13/1224 Calculate prob of sequence ff when two letters picked without replacement from {f: 5}. 1 Two letters picked without replacement from ccaaaaaneceeadacnuea. What is prob of sequence au? 2/95 Three letters picked without replacement from dfkddxdfdffgkfikk. Give prob of sequence gfd. 5/816 Calculate prob of sequence rtg when three letters picked without replacement from gagaeaegeeraet. 1/728 What is prob of sequence yssq when four letters picked without replacement from {q: 4, r: 3, s: 4, y: 1, a: 1}? 2/715 Four letters picked without replacement from iictutccctccct. What is prob of sequence utct? 1/286 What is prob of sequence memm when four letters picked without replacement from mmmeeme? 3/35 Calculate prob of sequence ihhi when four letters picked without replacement from {h: 6, i: 6}. 5/66 What is prob of sequence ksh when three letters picked without replacement from {k: 1, s: 2, x: 1, h: 4, b: 2}? 1/90 Calculate prob of sequence pxp when three letters picked without replacement from epexeepp. 1/56 Three letters picked without replacement from {j: 1, d: 1, v: 2, f: 2}. What is prob of sequence vfd? 1/30 Four letters picked without replacement from zezzzzezzzzzzzzzezee. What is prob of sequence zzzz? 91/323 What is prob of sequence phg when three letters picked without replacement from {g: 2, h: 1, p: 2}? 1/15 Calculate prob of sequence nqt when three letters picked without replacement from {n: 1, q: 12, t: 3, f: 2, b: 2}. 1/190 Calculate prob of sequence egk when three letters picked without replacement from eegkkegkkeeeekggeek. 12/323 Calculate prob of sequence ggk when three letters picked without replacement from {g: 7, k: 7}. 7/52 Three letters picked without replacement from {u: 2, z: 3, l: 5, c: 1, h: 8}. What is prob of sequence lhu? 40/2907 Calculate prob of sequence zexx when four letters picked without replacement from {e: 1, k: 1, x: 2, z: 1}. 1/60 Two letters picked without replacement from qjjolliloiihojloo. Give prob of sequence lq. 1/68 Two letters picked without replacement from yogbbpgbygeg. Give prob of sequence yp. 1/66 What is prob of sequence sw when two letters picked without replacement from ssswjsswwwswjswwssj? 7/38 What is prob of sequence ee when two letters picked without replacement from eeebebb? 2/7 Three letters picked without replacement from {v: 3, k: 11, x: 1, o: 5}. Give prob of sequence kko. 55/684 Four letters picked without replacement from {s: 2, u: 1, x: 1, i: 1, j: 5}. What is prob of sequence juji? 1/252 What is prob of sequence ogn when three letters picked without replacement from ngoggggngg? 7/360 Two letters picked without replacement from ppupuepuupp. Give prob of sequence up. 12/55 Calculate prob of sequence uu when two letters picked without replacement from uub. 1/3 Three letters picked without replacement from kckpckkpkpcbppcpcpk. Give prob of sequence pkp. 14/323 Two letters picked without replacement from {c: 3, b: 2, g: 9, a: 2, n: 1}. Give prob of sequence aa. 1/136 Calculate prob of sequence grt when three letters picked without replacement from ytgutrt. 1/70 Calculate prob of sequence cqy when three letters picked without replacement from lcrqlyllr. 1/504 What is prob of sequence xwcx when four letters picked without replacement from {c: 5, w: 2, x: 5}? 5/297 What is prob of sequence hr when two letters picked without replacement from {k: 1, h: 4, r: 1, v: 6, n: 3}? 2/105 What is prob of sequence bdb when three letters picked without replacement from {b: 8, d: 2}? 7/45 Three letters picked without replacement from xzmhnzzhnh. What is prob of sequence znm? 1/120 Four letters picked without replacement from kkkkkkpkkkkkkkkkkk. What is prob of sequence kkpk? 1/18 What is prob of sequence hh when two letters picked without replacement from {h: 3, i: 1, o: 1, b: 1, c: 1}? 1/7 Calculate prob of sequence eet when three letters picked without replacement from ketevvvvvuev. 1/220 Two letters picked without replacement from {h: 5, r: 4, m: 4, u: 6}. What is prob of sequence uh? 5/57 Three letters picked without replacement from {n: 5, a: 3}. Give prob of sequence nan. 5/28 Four letters picked without replacement from ygisstiistiiys. What is prob of sequence ysgg? 0 Calculate prob of sequence cc when two letters picked without replacement from dcdcd. 1/10 Two letters picked without replacement from {j: 1, r: 1, l: 1, e: 2}. What is prob of sequence ee? 1/10 Calculate prob of sequence htt when three letters picked without replacement from tvht. 1/12 Four letters picked without replacement from eekkeekkkkkkkekkkek. What is prob of sequence keek? 65/1292 Two letters picked without replacement from {g: 2, u: 12, w: 5}. What is prob of sequence wu? 10/57 What is prob of sequence ccn when three letters picked without replacement from {n: 1, f: 1, c: 2, b: 2}? 1/60 Two letters picked without replacement from mpneanmrmeermrneenna. What is prob of sequence rm? 3/95 Two letters picked without replacement from gbbbqngbb. Give prob of sequence gg. 1/36 Two letters picked without replacement from pppyyppyvypvffpyppfp. Give prob of sequence fv. 3/190 Two letters picked without replacement from {i: 1, m: 1, y: 1, z: 4, a: 5}. What is prob of sequence ya? 5/132 Two
{ "pile_set_name": "DM Mathematics" }
or x? s Let w = -10.71 + -0.29. Let o = 17102 + -17101.6. Which is bigger: w or o? o Let q be 848/472 - (4 + -2). Do q and 1 have different values? True Suppose 2*m = -0*m - 2. Let a be (2 + 6*m)*-4. Are 16 and a non-equal? False Let p = 1/1018 + 30503/37666. Let z be (651/(-259))/(4/(-18)). Let u = z - p. Which is smaller: u or 11? u Let u(w) = -w + 17. Suppose -2*k = 5*t - 5, -3*k = -2*k - 3*t - 19. Let q be u(k). Let a = -10 + q. Is -4 <= a? True Let q(y) = y**2 - 3*y + 2. Let j be q(3). Let b be (2/2)/(1 - j). Which is greater: 2/47 or b? 2/47 Let z(q) = -q**2 + 6*q + 1. Let o be z(8). Let d be 162/o - (-24)/30. Suppose -3*i + 45 = -8*i. Which is bigger: d or i? i Let q(l) = 39*l**2 - 14*l - 51. Let y be q(-3). Which is bigger: y or -2? y Let t = 1.77 + -28.07. Let l = 1.3 + t. Is l at least -0.1? False Let p(f) = f**3 + 4*f**2 - f - 2. Suppose -3*n = -2*u + 20, 0 = -3*n + 4*u - 3*u - 16. Let d be p(n). Suppose -b = -0 - d. Does b = 9/4? False Let g be (156/8)/(-2 + 1461/708). Let k = 308 - g. Let z be 2/3*6/4. Does z = k? False Let u = 22 - -6. Let b be 7/u - (-61)/(-276). Which is greater: b or 1? 1 Let g = 58/249 + -9307/166. Is -56 <= g? True Let r = -167/8 + 173/8. Which is greater: r or -28? r Let r = 30 + -19. Let s(j) = j**2 - 11*j - 15. Let w be s(r). Let m = w - -6. Which is bigger: -10 or m? m Suppose -2*k + 0*k + 10 = 0. Suppose -2*x - x = -k*x. Is x greater than or equal to -2/141? True Let f = 4619/616 - -29/77. Which is smaller: f or 8? f Let g = 5.03 + -1.33. Which is greater: g or 1/5? g Suppose -b + 273 - 606 = 0. Which is bigger: b or -332? -332 Let i(t) = t**3 + 4*t**2 - 2*t - 3. Let w be i(-4). Let v = 0.25 - 0.09. Let o = v - -0.04. Is w >= o? True Let v = 1143 + -1165. Let b = 5 - 4. Let s be b/2*(-16)/28. Which is smaller: v or s? v Let p = 1908/2795 + -32/43. Do -1/2 and p have different values? True Suppose -3*z + 4*x + 1 = 0, -2*z - 2*x = -5*z - 1. Let q be 56/35*z/28. Let j be (-1)/(-3*(-1)/3). Does j = q? False Let h = 0.041 + 2.859. Let y = h - 3.19. Which is bigger: y or -1/4? -1/4 Let q be (-46)/(-8) - (-7)/(-14). Suppose t - 11 = 13. Let k be (-16)/(-6) + t/18. Which is bigger: q or k? q Let w be ((-4)/(-24))/((-2)/116). Let t = 3427 - 3437. Is w greater than t? True Suppose -x = x - 2*g + 10, -5*g + 17 = 3*x. Let b be (-3 - x)/((-35)/(-14)). Let y = -37/2 + 19. Which is smaller: b or y? b Let g = 41906/35 + -9455/7. Let p = g + 154. Which is smaller: p or 2/3? p Suppose -z + 9 - 4 = 0. Let k = z - 4. Let p be ((-4)/2)/(16 - 40). Which is smaller: k or p? p Let d be 2*(-6 + (-3 - -4)). Let i be (5/d)/((-3)/2). Is i < -0.1? False Let g = -3.69 - -1.69. Which is greater: g or -1/48? -1/48 Let n be (6/1)/(2/3). Suppose 15 = -6*a - n. Is -7 equal to a? False Let u(x) = -3*x. Let b(n) = -n. Let w(t) = -5*b(t) + 2*u(t). Let m = -10 + 6. Let j be w(m). Which is bigger: j or 5? 5 Let i be 1/(10/25) - (-1790)/(-140). Is i != -10? True Let p = 17 + -32. Let l be ((-4)/10)/((-63)/p). Is -2/11 > l? False Let x = -106185 + 11892609/112. Let t = 17/16 + x. Let s = 1 - 0. Is t >= s? False Let m(s) = s**3 - 10*s**2 + 8*s + 8. Let i be 6/21 + (-8)/28. Suppose t - 16 = -2*c - t, -4*c + t + 37 = i. Let p be m(c). Which is smaller: p or -2/7? p Let g = -0.0487 - -0.0387. Which is smaller: -0.2 or g? -0.2 Let c be 1 + -6 - (-19 + 15). Which is greater: c or 2/1065? 2/1065 Let w be (-5)/(165/156) - (-8)/4. Which is smaller: w or -3? -3 Let b(q) = -3 + 20 - 774*q + 777*q - q**2. Let s be b(7). Which is bigger: 1 or s? 1 Let d be (-50)/15*42/5. Let o = d + 19. Let q be 9/(-12)*(-3)/o. Is -0.2 at most as big as q? False Suppose -70 = -5*v + 4*u, 2*v = u - 2*u + 15. Which is bigger: -22 or v? v Suppose p = -p + 2. Let g = -4 + -19. Let l = g - -26. Is p at least l? False Let o be 4 - 4/(-6)*53. Is 39 less than or equal to o? True Let p(z) = -z**3 - 5*z**2 + 5*z + 4. Let a be p(-5). Let n(d) = 34*d + 14. Let h be n(-1). Is a != h? True Let q = -5 - -5. Suppose q = 2*g - 0*o + 3*o - 8, -2*o - 4 = -g. Which is greater: 0 or g? g Let r = 186/121 + -207148/134915. Which is greater: -1 or r? r Suppose 0 = 3*g - 5*n - 14, n = -4*g - 0*n + 11. Suppose 2*u - g*u = 3. Which is smaller: -17/4 or u? -17/4 Let j be 8/10*9080/(-16). Let z = j + 4072/9. Is -2 smaller than z? True Let s be 16/(-80) + (-34)/(-70) + (-24 - -24). Let j = -20 + 13. Let x = j - -4. Which is bigger: s or x? s Let m = -97/13 + 875/117. Which is greater: 1 or m? 1 Suppose -5*y + y = -5*i + 140, i - 2*y = 34. Which is greater: 21 or i? i Let p = -7.1 - 6.9. Are -0.1 and p nonequal? True Let p be ((-9)/(-6))/((-6)/8). Let u = -215.8 - -159. Let b = u + 57. Which is greater: p or b? b Suppose -4*q = -5*y + 100, -3*q - 28 = -2*y + q. Let h be (-2)/(-4) + (-300)/y. Are -12 and h non-equal? False Let n = 9 - -3. Suppose 5*z + n = -13. Let w be 216/(-40) + 3/z. Which is bigger: -5 or w? -5 Let j = -184 + 62. Which is greater: -123 or j? j Let n(y) = -3*y - 7. Let j(f) = -f - 2. Let m(r) = 8*j(r) - 3*n(r). Let i be m(-5). Let z be 13 + (4 - 10) + -2. Is z at most as big as i? False Let j be ((-7)/(-4))/((-3)/24). Suppose -6*o - 48 = -3*o. Let b be (24/o)/((-2)/(-20)). Which is smaller: j or b? b Suppose 2*u + 140 = 4*r, 0 = 6*r - 3*r - u - 107. Suppose 41*t - 4 = r*t. Let x(d) = d**3 - 3*d**2 - 3*d - 2. Let s be x(4). Which is smaller: t or s? t Let u be ((-3)/(-2))/((-30)/16). Let f(x) = 0 + 2*x**3 - x - 6*x**3 + 3*x**3 + 10*x**2 + 9. Let w be f(10). Which is bigger: w or u? u Let x = -5/1308 + 49789/22236. Which is smaller: 2/7 or x? 2/7 Let j = -16.017 + 16. Let o = 0.017 + j. Let m be (-4)/6*(1 + 1). Is o <= m? False Let s = 13 + -11. Let y = 0.54 - -0.46. Which is smaller: s or y? y Suppose -2*z + 119 = -5*m, 0*z = 4*z - 5*m - 213. Which is smaller: 48 or z? z Suppose -5*r + 159 = 19. Let k = -20 + r. Suppose -2*c + k = g + g, -4 = -4*g. Which is smaller: 8/5 or c? 8/5 Let g = 17.357 + -13.357. Suppose 4*o - 1 = 11. Which is smaller: g or o? o Let b be 3/1*-1 - 72/(-26). Let o be 3*(-1)/(2/(-2)). Let v be (-6 + o)/(-3)*-1. Which is greater: v or b? b Let v = 55 + -55. Let r be v*((-2)/(-8)*2 - 1). Which is smaller: r or 2/335? r Let f = 517 + -537. Which is smaller: 3 or f? f Let l(a) be the first derivative of a**4/2 - a**3/3 - a**2 - a - 6. Let s be (1 + -2)*1 - 0. Let q be l(s). Is q greater than -1? False Let b be (-3)/(-12) - 11/12. Let m be (0 + -2)*(5 + 75/2). Let n = m - -79. Is b less than n? False Suppose 0 = 3*x + 9, -4*x + 69 = b + 77. Which is greater: b or -11? b Let j = -50233/27 - -1861. Which is greater: 2 or j? 2 Suppose 14 = -3*a - 5*u, -4*a + 5*u = -2*a - 24. Suppose 0*q - 78 = -a*q - 4*j, 4*j + 54 = 2*q. Is q at most 32? False Let v be (2784/36)/(6/9). Is v at most as big as 116? True Let r = -0.031 + 16.031. Let w = -13 + r. Which is bigger: -2/13 or w? w Let g(y) = -y**2 + 9*y + 4. Let m be g(9). Let q be (-2)/m*(-25 - -23). Is q at most 24/11? True Let v(z) = -z**2 + 11*z - 13. Let w be v(9). Suppose h = -w*r + 55, 2*r + 4 = 5*h - 1. Suppose -r = -d - d. Which is smaller: 3 or d? 3 Let u(k) = 10*k**2 - 1. Let f be u(1). Let j = -2 - f. Is -7 < j? False Suppose 2873*a = 2881*a - 32. Let m(f) = 2*f**2 - 2*f**2 + 7*f + 11 - f**2. Let w be m(8). Are w and a equal? False Let a be (-3 - (-51)/15)*-50. Let u = 32 + a. Let f be u/30*10/(-14). Which is greater: f or 0.3? 0.3 Let a be ((-27)/63)/((-5)/(-35)). Let k = -24 + 13. Is a greater than or equal to k? True Let s = -1.1 + 0.1. Let z = -54718/7 - -7817. Is s > z? False Suppose 4*r + 0*r + 4*p = 92, -p - 97 = -5*r. Let j(i) = 27*i + 2772. Let t be j(-102). Which is bigger: t or r? r Let m = 42 + 14. Let c = m + -55.9. Which is smaller: c or -9? -9 Let i = -0.522 - -0.622. Which is greater: -30.9 or i? i Let d = 18 + -9. Let q = 5.05 + -0.05. Let s = q - d. Which is bigger: 1 or s? 1 Let x be 20/45*(-18)/(-4) + 0. Let r be x - (-6 - -11) - (-354)/117. Suppose -4*i = -2*o + 6, 3*i = 3*o + o - 7. Which is smaller: r or o? r Let m = 411 - 413. Which is smaller: m or -5/3? m Let l = 8.8 - -7.6. Let f = 17 - l. Which is smaller: -0.1 or f? -0.1 Let f = -341 - -270. Which is greater: f or -72? f Let b = -716 - -732.91. Let z = 17 - b. Let i = -0.201 + 0.301. Which is greater: z or i? i Let c be 82/(-3)*12/(-
{ "pile_set_name": "DM Mathematics" }
92, 459554, 459536, 459544, 459584, 459662, 459784? x**3 + x**2 - 62*x + 459704 What is the o'th term of 21871, 43771, 65683, 87613, 109567, 131551? o**3 + 21893*o - 23 What is the w'th term of 183, 192, 203, 216, 231? w**2 + 6*w + 176 What is the u'th term of 37, 172, 543, 1270, 2473, 4272, 6787? 20*u**3 - 2*u**2 + u + 18 What is the p'th term of 294, 696, 1112, 1548, 2010, 2504, 3036? p**3 + p**2 + 392*p - 100 What is the s'th term of -1706, -3375, -5032, -6677, -8310? 6*s**2 - 1687*s - 25 What is the g'th term of -2999, -6050, -9101, -12152? -3051*g + 52 What is the j'th term of 73, 202, 409, 682, 1009, 1378, 1777, 2194? -2*j**3 + 51*j**2 - 10*j + 34 What is the r'th term of -24, 17, 136, 345, 656, 1081? 2*r**3 + 27*r**2 - 54*r + 1 What is the v'th term of -5319, -5324, -5329, -5334, -5339? -5*v - 5314 What is the g'th term of -2816, -2851, -2922, -3041, -3220? -2*g**3 - 6*g**2 - 3*g - 2805 What is the d'th term of 2797, 2652, 2507, 2362, 2217? -145*d + 2942 What is the v'th term of 252, 362, 586, 930, 1400, 2002, 2742? v**3 + 51*v**2 - 50*v + 250 What is the b'th term of -4254, -4255, -4256, -4257, -4258, -4259? -b - 4253 What is the g'th term of 3287, 3257, 3227, 3197, 3167? -30*g + 3317 What is the a'th term of 1877, 3728, 5593, 7478, 9389, 11332, 13313? a**3 + a**2 + 1841*a + 34 What is the n'th term of -72, -293, -698, -1317, -2180, -3317, -4758, -6533? -5*n**3 - 62*n**2 - 5 What is the r'th term of -106, -134, -190, -286, -434? -2*r**3 - 2*r**2 - 8*r - 94 What is the y'th term of -48, -65, -82, -99, -116? -17*y - 31 What is the c'th term of -256, -1109, -2528, -4513? -283*c**2 - 4*c + 31 What is the p'th term of 11211155, 11211154, 11211153? -p + 11211156 What is the u'th term of 374, 1674, 3856, 6908, 10818, 15574? -2*u**3 + 453*u**2 - 45*u - 32 What is the v'th term of -3250079, -6500162, -9750247, -13000334? -v**2 - 3250080*v + 2 What is the x'th term of -56, 72, 560, 1594, 3360, 6044, 9832, 14910? 31*x**3 - 6*x**2 - 71*x - 10 What is the u'th term of -5052, -20212, -45480, -80856, -126340, -181932, -247632? -5054*u**2 + 2*u What is the m'th term of -267, -434, -607, -786, -971, -1162? -3*m**2 - 158*m - 106 What is the d'th term of -37951, -75906, -113861, -151816, -189771? -37955*d + 4 What is the m'th term of 3733, 3691, 3567, 3319, 2905? -7*m**3 + m**2 + 4*m + 3735 What is the z'th term of -6504, -6495, -6486, -6477? 9*z - 6513 What is the l'th term of 57043, 114069, 171093, 228115, 285135, 342153? -l**2 + 57029*l + 15 What is the p'th term of -26, -138, -422, -956, -1818? -13*p**3 - 8*p**2 + 3*p - 8 What is the j'th term of 7589, 60799, 205243, 486539, 950305, 1642159? 7603*j**3 - j**2 - 8*j - 5 What is the i'th term of -199, -400, -671, -1012, -1423, -1904? -35*i**2 - 96*i - 68 What is the d'th term of -1842, -6968, -15524, -27516, -42950, -61832, -84168? -d**3 - 1709*d**2 + 8*d - 140 What is the f'th term of -725, -1475, -2243, -3035, -3857, -4715? -f**3 - 3*f**2 - 734*f + 13 What is the m'th term of 30813, 123228, 277257, 492906, 770181, 1109088, 1509633? m**3 + 30801*m**2 + 5*m + 6 What is the n'th term of -151415, -151414, -151413, -151412? n - 151416 What is the f'th term of -4084, -16343, -36774, -65377, -102152? -4086*f**2 - f + 3 What is the f'th term of 31, -2, -93, -242, -449? -29*f**2 + 54*f + 6 What is the r'th term of 1058, 791, 316, -391, -1354, -2597? -4*r**3 - 80*r**2 + r + 1141 What is the q'th term of -1071, -1076, -1077, -1074? 2*q**2 - 11*q - 1062 What is the u'th term of -1771, -1849, -1927, -2005? -78*u - 1693 What is the y'th term of -3946, -3973, -4018, -4081, -4162? -9*y**2 - 3937 What is the a'th term of 88200, 88201, 88202, 88203, 88204, 88205? a + 88199 What is the u'th term of -4691, -9376, -14061? -4685*u - 6 What is the r'th term of -552622, -552623, -552624, -552625? -r - 552621 What is the j'th term of 929, 1848, 2765, 3680? -j**2 + 922*j + 8 What is the i'th term of -7886, -7768, -7652, -7538? -i**2 + 121*i - 8006 What is the w'th term of -321129, -321130, -321131, -321132? -w - 321128 What is the j'th term of -489, -1059, -1629, -2199, -2769, -3339? -570*j + 81 What is the m'th term of 195, 64, -65, -192, -317, -440? m**2 - 134*m + 328 What is the z'th term of 6724, 6764, 6804, 6844? 40*z + 6684 What is the n'th term of 4150, 8202, 12254, 16306? 4052*n + 98 What is the i'th term of 8028, 8057, 8086, 8115, 8144? 29*i + 7999 What is the r'th term of 5465, 5580, 5695, 5810, 5925, 6040? 115*r + 5350 What is the g'th term of -6581, -26274, -59089, -105032, -164109? -g**3 - 6555*g**2 - 21*g - 4 What is the f'th term of 4954, 4811, 4662, 4507, 4346, 4179? -3*f**2 - 134*f + 5091 What is the w'th term of -22, -57, -130, -259, -462? -3*w**3 - w**2 - 11*w - 7 What is the b'th term of -15, -23, -35, -45, -47? b**3 - 8*b**2 + 9*b - 17 What is the q'th term of -268270, -536537, -804804, -1073071, -1341338? -268267*q - 3 What is the c'th term of 124, 473, 1062, 1897, 2984, 4329, 5938, 7817? c**3 + 114*c**2 + 9 What is the p'th term of -5527, -11047, -16565, -22081, -27595, -33107? p**2 - 5523*p - 5 What is the v'th term of -24, -410, -1428, -3384, -6584, -11334, -17940? -51*v**3 - 10*v**2 + v + 36 What is the i'th term of -222, -193, -164, -135? 29*i - 251 What is the n'th term of 935, 2030, 3125, 4220? 1095*n - 160 What is the i'th term of -4894, -9585, -14278, -18973, -23670, -28369, -33070? -i**2 - 4688*i - 205 What is the s'th term of 655, 1330, 2139, 3148, 4423? 11*s**3 + s**2 + 595*s + 48 What is the c'th term of -5355, -42926, -144899, -343476, -670859? -5367*c**3 + c**2 - 5*c + 16 What is the a'th term of -1025, -4093, -9205, -16355, -25537, -36745? a**3 - 1028*a**2 + 9*a - 7 What is the m'th term of -34, -85, -142, -199, -250? m**3 - 9*m**2 - 31*m + 5 What is the q'th term of -119, -103, -13, 157, 413, 761? q**3 + 31*q**2 - 84*q - 67 What is the l'th term of 10945, 10924, 10867, 10756, 10573, 10300, 9919? -3*l**3 + 10948 What is the t'th term of 215, 126, 25, -88, -213, -350? -6*t**2 - 71*t + 292 What is the g'th term of 1335, 2660, 3991, 5328, 6671? 3*g**2 + 1316*g + 16 What is the o'th term of -98342, -98340, -98336, -98330, -98322? o**2 - o - 98342 What is the a'th term of -8278, -16561, -24854, -33157, -41470, -49793? -5*a**2 - 8268*a - 5 What is the k'th term of -1056, -2113, -3170, -4227, -5284, -6341? -1057*k + 1 What is the v'th term of -424, -3341, -11268, -26713, -52184? -418*v**3 + 3*v**2 - 9 What is the f'th term of -5346, -5371, -5396? -25*f - 5321 What is the h'th term of 186, 809, 1844, 3297, 5174, 7481? h**3 + 200*h**2 + 16*h - 31 What is the s'th term of -48181, -48185, -48189, -48193, -48197, -48201? -4*s - 48177 What is the s'th term of 54, 619, 2170, 5199, 10198, 17659, 28074, 41935? 82*s**3 + s**2 - 12*s - 17 What is the o'th term of 1219921, 2439847, 3659763, 4879663, 6099541, 7319391, 8539207, 9758983? -o**3 + o**2 + 1219930*o - 9 What is the h'th term of 16745, 16736, 16727, 16718? -9*h + 16754 What is the w'th term of 99, 402, 909, 1620, 2535, 3654? 102*w**2 - 3*w What is the m'th term of -2766, -4735, -6700, -8661? 2*m**2 - 1975*m - 793 What is the y'th term of 48949, 97900, 146851, 195802, 244753? 48951*y - 2 What is the u'th term of 91, 124, 175, 244, 331, 436, 559? 9*u**2 + 6*u + 76 What is the s'th term of -90605, -90603, -90599, -90593, -90585? s**2 - s - 90605 What is the r'th term of -436, -529, -686, -907? -32*r**2 + 3*r - 407 What is the c'th term of 160, 208, 256, 304, 352? 48*c + 112 What is the a'th term of -1624, -3233, -4826, -6403, -7964, -9509? 8*a**2 - 1633*a + 1 What is the j'th term of 14, 71, 174, 329, 542, 819? j**3 + 17*j**2 - j - 3 What is the a'th term of 12037, 24079, 36121, 48163? 12042*a - 5 What is the b'th term of 89, 823, 2829, 6743, 13201, 22839? 106*b**3 - 8*b - 9 What is the f'th term of 321, 1287, 2867, 5037, 7773, 11051? -4*f**3 + 331*f**2 + f - 7 What is the b'th term of 109, 132, 127, 88, 9, -116, -293? -b**3 - 8*b**2 + 54*b + 64 What is the t'th term of -1425, -5712, -12853, -22848, -35697? -1427*t**2 - 6*t + 8 What is the x'th term of 63618, 63625, 63642, 63675, 63730, 63813, 63930? x**3 - x**2 + 3*x + 63615 What is the y'th term of 58, 92, 122, 148? -2*y**2 + 40*y + 20 What is the r'th term of -5349, -5400, -5481, -5598, -5757?
{ "pile_set_name": "DM Mathematics" }
qrt(19))**2. -36*sqrt(19) + 1543 Simplify (-4*-2*sqrt(243)/(sqrt(9)*1))/(4*((sqrt(90) + (-1*sqrt(90) - sqrt(90)))/sqrt(10) + sqrt(99)/sqrt(176)))*1. -8*sqrt(3)/3 Simplify 5*((sqrt(72) - (sqrt(72) - (sqrt(72) + (4*sqrt(72) - sqrt(72)))) - sqrt(72))*1)/((sqrt(324) - (-2*sqrt(324) - sqrt(324))*6) + sqrt(324) + sqrt(324)). 5*sqrt(2)/21 Simplify ((1 + -3 + (sqrt(363) - (sqrt(363)*3 - sqrt(363))) + 1 + -3 + -2 + sqrt(363))**2 + 4)*-3. -120 Simplify 2 + 5 + 4 + ((sqrt(325) - (sqrt(325) + -1))*-5 - (2 + sqrt(325)*-1))**2 + 2. -70*sqrt(13) + 387 Simplify -2*(sqrt(3) + -4)*-4*-5 + (sqrt(48)*-1*4*3)**2. -40*sqrt(3) + 7072 Simplify (sqrt(539) - sqrt(539)*1 - sqrt(539))**2 + 0 + -2*(sqrt(539) - sqrt(539)*-1) + sqrt(539) + 2*(-4*sqrt(66)*-2 + sqrt(66))/(-1*sqrt(216)). -24*sqrt(11) + 539 Simplify ((sqrt(156) + sqrt(156) + sqrt(156)*3*-6 - sqrt(156)*-2*3)*-5)/((sqrt(108) + 3*-1*sqrt(108) + sqrt(108))/(sqrt(225)*3)). -750*sqrt(13) Simplify 2*(0 + sqrt(17)) + (sqrt(17) + (-3*sqrt(17) + 1)**2 - sqrt(17)) + (5*-1*sqrt(17) - sqrt(17))*-1*5. 26*sqrt(17) + 154 Simplify (2 + sqrt(10)/(sqrt(8) + sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)))*1 + (2*-2*sqrt(80) - sqrt(80) - sqrt(80))/sqrt(4)*-3. 2 + 289*sqrt(5)/8 Simplify (sqrt(12)*2*-5)**2*5 + -2 + ((0 + sqrt(300) + sqrt(300))*5)**2. 35998 Simplify ((-4 + 0 + sqrt(468) - (sqrt(468) + 1 + sqrt(468) + -5))**2 + (6*sqrt(468)*2)**2 + 4)*-3. -203592 Simplify 5 + ((-5 + 0 + ((0 + sqrt(99))*5 - (sqrt(99) - (-6*(sqrt(99) - (sqrt(99) - (sqrt(99) + 1 + sqrt(99)))) - sqrt(99)))))*3 + -1)**2. 5508*sqrt(11) + 73332 Simplify -3 + ((sqrt(140) + sqrt(140)*-2*5 - sqrt(140) - sqrt(140))/sqrt(5))/(-2*((sqrt(4)*-3*-1 - sqrt(4)) + sqrt(4))). -3 + 11*sqrt(7)/6 Simplify ((-3*sqrt(110)/sqrt(5) - sqrt(22) - sqrt(1408)*-2)*3)/(sqrt(110)/(-3*sqrt(10)) + -3*sqrt(176)). -108*sqrt(2)/37 Simplify ((1*(sqrt(1377) - -4*sqrt(1377)))**2 + 1 - ((sqrt(17) - sqrt(102)/sqrt(6)*1) + 0 + -4))*2. 68860 Simplify -5*(-2 + ((sqrt(500) - (2 + -2*sqrt(500)))**2*-6 - ((0 + sqrt(500) + -1)**2 - (1*(1*sqrt(500) + sqrt(500)))**2))). -3700*sqrt(5) + 127635 Simplify (-5 + -4 + (-4*sqrt(891) - sqrt(891)) + 5*-2*-6*sqrt(891))**2 + -4 + 1. -8910*sqrt(11) + 2695353 Simplify (2*(-6*((sqrt(75) - (1 + (2*sqrt(75) + sqrt(75) + sqrt(75) - sqrt(75)))) + -2 + 1*sqrt(75) + sqrt(75)) + 3) + -4)**2. 1444 Simplify (2*(2 + sqrt(117) + 1) - ((2 + 0 + sqrt(117) - sqrt(117))**2 + sqrt(117) + 1 + -5))*4. 24 + 12*sqrt(13) Simplify (((sqrt(560) + -2*sqrt(560))*-4)/(1*sqrt(640)))/(((-3*sqrt(8) - sqrt(8)) + sqrt(8))*4 + sqrt(32)*2). -sqrt(7)/16 Simplify -1*(-5 + (sqrt(1300) - (sqrt(1300)*-2 + 1 - sqrt(1300))) + (sqrt(1300) - (sqrt(1300) + 5*(4*sqrt(1300) + sqrt(1300)))**2))*4. -200*sqrt(13) + 3515224 Simplify (((sqrt(304) - 2*sqrt(304))**2 + (sqrt(190) + sqrt(190) + sqrt(190) + (2*sqrt(190) - sqrt(190)))/sqrt(10) + 2)*6 + 0)*1 + -3. 24*sqrt(19) + 1833 Simplify (-4 + (sqrt(1872) - (-2 + sqrt(1872))) + -1 + 5 + sqrt(39)/(sqrt(432) - (sqrt(432) + 1*sqrt(432)) - sqrt(3)) + -5 + 2)**2. 2*sqrt(13)/13 + 14/13 Simplify (3*(-4 + (-1 + sqrt(605) + -1 - (-4 + sqrt(5) + -1)*6)) + -5)**2. 2010*sqrt(5) + 5614 Simplify 5*2*((4*(sqrt(432) + 2)*-2)**2 - (sqrt(432)*-1 + -4 + 3)**2). 30480*sqrt(3) + 274710 Simplify (-1*(sqrt(1539) + (sqrt(1539) - (3 + 4 + sqrt(1539))) + sqrt(1539) + ((0 + sqrt(1539))*2 - sqrt(1539)) + sqrt(1539)))**2 + -2. -504*sqrt(19) + 24671 Simplify 4*(-4 + sqrt(847) + -4 + (sqrt(847) - (sqrt(847) + (sqrt(847) + sqrt(847) + 0 - sqrt(847)))) + sqrt(847) + 5)**2*6*-2. -41088 + 3168*sqrt(7) Simplify (2 + 5 + (1*sqrt(99))**2)*4 - (5 + -1 + sqrt(1584) - sqrt(1584)*2*-2)**2. -39192 - 480*sqrt(11) Simplify (-3 + -2*sqrt(252) + 5 + -5 + sqrt(252)*-3*2 + -3 + -1*sqrt(252) + 3)**2. 324*sqrt(7) + 20421 Simplify (4 + (sqrt(272) - (sqrt(272) - ((sqrt(272)*-2 - sqrt(272)) + -2) - sqrt(272))) + (sqrt(272) - sqrt(272)*1)*-6 + 1 + -5 + 5 + sqrt(272)*1)**2. -24*sqrt(17) + 281 Simplify (-4*(-3 + 3 + (sqrt(3) - sqrt(6)/sqrt(2))) + 5 + (0 + (sqrt(192) + 1)*-1)*4)**2. -64*sqrt(3) + 3073 Simplify -6*-4*((1*(sqrt(300) + sqrt(300)*-2) - -3*(sqrt(300) + -2)) + (-4 + sqrt(300) + 2 + sqrt(300) - sqrt(300)) + -4). -288 + 720*sqrt(3) Simplify -6*(5 + (-2 + (sqrt(117) - (-4 + sqrt(117) + 2*sqrt(117)))*-4)**2)*-2*2. -20736*sqrt(13) + 187608 Simplify 4*(6*6*(sqrt(88)/(sqrt(8)*1) + sqrt(33)/sqrt(3)*4 + -2 + sqrt(11) + (-2 + sqrt(11))*6))**2. -1741824*sqrt(11) + 9227520 Simplify (5*(sqrt(242) + (sqrt(242) + (sqrt(242)*-1 - sqrt(242))*-4 - sqrt(242))) + -5 + 4)**2 + 2 + 2. -990*sqrt(2) + 490055 Simplify (-1*sqrt(208) + -5 + sqrt(208))**2*-1 - ((sqrt(208) - (-3 + sqrt(208)))*-2*3)**2. -349 Simplify ((6*(sqrt(250) + sqrt(250) + -2*sqrt(250)))/(sqrt(5)*-1*-3) - 2*(sqrt(50) - (sqrt(1250) + -4))*-6)**2. -23040*sqrt(2) + 117504 Simplify (1 + sqrt(1100) + 1 + (sqrt(1100)*2 - sqrt(1100)) - (-4 + 2*sqrt(1100))*1)**2 + 4. 40 Simplify (-3 + (-4*(1 + sqrt(432)*1 + (-1*(-4 + sqrt(432) - sqrt(432)) - sqrt(432)))*3)**2)*5. 17985 Simplify (-4 + -5*-4*(sqrt(612) - (sqrt(612) + (sqrt(612) + 1)**2)) - (-3 + -4*(-2 + -1 + sqrt(612) + sqrt(612))**2))*-5. 2640*sqrt(17) + 12165 Simplify 2*((sqrt(70)/((sqrt(110) + sqrt(110)*1)/sqrt(11) - sqrt(10)))**2*-1 - (5*(-1 + sqrt(700) + 5))**2). -35814 - 4000*sqrt(7) Simplify (-4*((sqrt(7) - sqrt(28)) + 1 + -2))**2 + (3*sqrt(21))/sqrt(3) + sqrt(252)*-1 + -2. 29*sqrt(7) + 126 Simplify (6*(1 + 1*(-4 + -2*-1*2*sqrt(2448) + -5)))**2. -27648*sqrt(17) + 1412352 Simplify (sqrt(567) - (sqrt(567) + sqrt(567) + 0 + -2) - (2 + 0 + sqrt(567)))**2 + -4 - -3*((sqrt(77) - (sqrt(77) - sqrt(77)*-2))*-4)/(-2*sqrt(176)). -3*sqrt(7) + 2264 Simplify (sqrt(1872) + ((sqrt(1872) - (1 + sqrt(1872))) + sqrt(1872) + 1)**2)*3 - ((sqrt(1573) + 2)**2 + (sqrt(13) + (0 + sqrt(13))**2)*-4). -4*sqrt(13) + 4091 Simplify (2*sqrt(121)*-6*5)/(sqrt(55)/(sqrt(40)/sqrt(8))*-1) + -1. -1 + 60*sqrt(11) Simplify (-3*(sqrt(210) + sqrt(210)*-1 + sqrt(210))/sqrt(7)*3)/(sqrt(108)/sqrt(2) - (sqrt(6) - sqrt(726)*4)). -9*sqrt(5)/46 Simplify (((sqrt(65)*-1 - sqrt(65))*-2 - sqrt(65))/(sqrt(125)*-1) - -3*(5 + 1*sqrt(468) + sqrt(13)))**2. 612*sqrt(13) + 140877/25 Simplify 3*(3 + 2 + (sqrt(98)*-1)**2*4 + sqrt(98))*4*-1. -4764 - 84*sqrt(2) Simplify ((2*sqrt(121) - sqrt(121))*-5)/(sqrt(539) + (sqrt(539)*-2 - sqrt(539) - sqrt(539))) - ((sqrt(1100) - sqrt(1100)*-1) + 5 + sqrt(1100)*-3*5). -5 + 2735*sqrt(11)/21 Simplify (-2 + ((2 + 5*(sqrt(272) - (sqrt(272) + 1)))*1)**2 + -5)*-6*-2. 24 Simplify (-5*sqrt(80)*-2)**2*2 - (((sqrt(405) + -2)*3)**2 + 3). 324*sqrt(5) + 12316 Simplify -1 + ((sqrt(180)/sqrt(3) - sqrt(15)) + -2*sqrt(375))/((1*(sqrt(405)*-1 + sqrt(405) + sqrt(405)) + sqrt(405))*4). -1 - sqrt(3)/8 Simplify (((sqrt(192)*1)/sqrt(4))/(sqrt(18) - -2*sqrt(18)))/(1*(sqrt(40)/(1*sqrt(5)) - sqrt(64)/(-1*sqrt(8)))). sqrt(3)/18 Simplify (sqrt(27)*-4*-1 - 3*sqrt(2700))/(sqrt(324)*2*-4*2). 13*sqrt(3)/48 Simplify -6*((sqrt(195)/sqrt(5)*-4)/(sqrt(363) + -5*sqrt(363)) + 0). -6*sqrt(13)/11 Simplify -1*sqrt(102)/sqrt(726)*-4 - ((sqrt(612) - (2 + sqrt(612) + 0)) + 4). -2 + 4*sqrt(17)/11 Simplify ((-1 + sqrt(320) + 1 + 2 + 5 + sqrt(320)*1 + -5)*-2 + -4)**2. 512*sqrt(5) + 5184 Simplify (1*sqrt(3000)*2*-5)/(sqrt(1210) - ((sqrt(1210) - sqrt(1210)*1) + sqrt(1210)) - (sqrt(10) + 6*(sqrt(10) - sqrt(10)*3))). -100*sqrt(3)/11 Simplify ((sqrt(65)*4 - sqrt(65))*1 + ((sqrt(65)*-4 - sqrt(65)) + sqrt(65) - sqrt(65))*5 + sqrt(65))/(sqrt(20) - sqrt(100)/sqrt(5) - sqrt(30)/(sqrt(6)*1)). 21*sqrt(13) Simplify 1*(-5*((-2*sqrt(513))/((sqrt(54)/sqrt(2))/sqrt(9)))**2 + (sqrt(19) + -4*-2*sqrt(19) - (-3 + sqrt(19)*3))**2*-6). -7578 - 216*sqrt(19) Simplify (sqrt(432) + -1 + sqrt(432) + 4 + -2)**2 - (sqrt(1800)*1)/(sqrt(72)/sqrt(3)). 43*sqrt(3) + 1729 Simplify (3*-5*(sqrt(605) - (-1*sqrt(605) + 1))*-2*4*-3)**2. -5702400*sqrt(5) + 313761600 Simplify (-6*(sqrt(220) + sqrt(55))/sqrt(5) - ((sqrt(396) + -1)*-3)**2)*2 + -1. -7147 + 180*sqrt(11) Simplify 1*(2 + (-4 + 5 + (sqrt(475) - -3*sqrt(475)) + sqrt(475) + 1 + 1)**2). 150*sqrt(19) + 11886 Simplify (-6*6*(-5 + 2 + (sqrt(1100) + sqrt(1100) + 0 + sqrt(1100))*2 + -5 + 2*sqrt(1100) + (0 + sqrt(1100) + 1 - sqrt(1100))))**2. -1451520*sqrt(11) + 91301904 Simplify ((6*sqrt(168)*-2)/(sqrt(7) + sqrt(448)))/(5*(2*sqrt(32) - sqrt(96)/(sqrt(12)*-1))). -4*sqrt(3)/75 Simplify 0 +
{ "pile_set_name": "DM Mathematics" }
= 92 + z. List the prime factors of n. 59 Let u = 15549 - 8187. What are the prime factors of u? 2, 3, 409 Let s(h) be the second derivative of h**5/20 - 5*h**4/12 + h**3/2 + h**2/2 + 10*h. Let p be s(6). Let z = p + -15. What are the prime factors of z? 2, 5 Suppose -37310 = 429*s - 443*s. List the prime factors of s. 5, 13, 41 Let k(u) = u**2 - 10*u - 35. Let s be k(17). Let x = s + -84. Suppose 4*o = -3*d + 200 + 12, x = 5*d + 3*o - 346. List the prime factors of d. 2, 17 Let d(f) = f**2 - 2*f - 832. Let j be d(0). Let k = -447 - j. What are the prime factors of k? 5, 7, 11 Let s(p) = 5*p**3 - 44*p**2 + 23*p + 34. Let c(m) = -11*m**3 + 87*m**2 - 47*m - 69. Let h(k) = -3*c(k) - 7*s(k). List the prime factors of h(23). 2, 19 Suppose -3*h - 12 - 18 = 0. Let q(z) = z**3 + 12*z**2 + 20*z + 3. Let w be q(h). Suppose -2*m + 4*m = 5*n + 207, -m + 102 = -w*n. List the prime factors of m. 3, 37 Let q be (-695162)/104 - ((-3)/(-4))/(-3). List the prime factors of q/(-4) + 5 + -10. 2, 7, 17 Suppose -14*y + 16*y = 3806. Let x = y - -281. Suppose x + 300 = 12*m. What are the prime factors of m? 3, 23 Let n(q) = 3*q**3 - 15*q**2 - 6*q + 34. Suppose 81*d = 42*d + 390. What are the prime factors of n(d)? 2, 11, 67 Let g(h) = -h**3 + 84*h**2 + 185*h + 20. List the prime factors of g(85). 2, 3, 5, 71 Let q(g) = 11*g**2 - 13*g + 61. Let z be q(8). Suppose -r - 26 = -z. What are the prime factors of r? 5, 127 Let s(u) = -u**3 - 16*u**2 - 11*u + 71. Let n be s(-15). Let l(g) = g**3 - 11*g**2 + 5*g + 75. What are the prime factors of l(n)? 2, 5, 13 Suppose -18 = -19*l + 10*l. What are the prime factors of (-16)/(-10)*-185*(-3)/l? 2, 3, 37 Suppose 2*k + l = -3*l - 2, -13 = -5*k - l. Suppose k*x - 4*x + 408 = g, -g - 408 = -x. Suppose 0 = 4*a - x + 36. List the prime factors of a. 3, 31 Suppose 434119 - 527722 = -75*g + 1078047. What are the prime factors of g? 2, 73, 107 Suppose 0 = -2*q, -3*t - 5*q + 1008 = -6*t. Let a = 27 - t. What are the prime factors of a? 3, 11 Let x be (1 + (-20)/12)/((-2)/21). Let m = -12 + x. Let s(a) = a**2 - 4*a + 14. What are the prime factors of s(m)? 59 Suppose 181 = 5*h - 344. Suppose -d + h + 1 = -4*g, d - 118 = g. Suppose 0*s + 96 = 4*s - 2*m, -5*s = -2*m - d. What are the prime factors of s? 2, 13 Suppose -2*s = -0*s - 3862. Suppose 9*l - 1453 - s = 0. What are the prime factors of l? 2, 47 Suppose 4*k - 332 - 108 = 0. Let a = -1560 + 1629. Let h = k - a. List the prime factors of h. 41 Suppose -106*t - 1152 = -114*t. Let b = t + -40. List the prime factors of b. 2, 13 Let l = -12275 - -20441. List the prime factors of l. 2, 3, 1361 Let x(h) = -40*h**2 - 2*h + 1. Let o be x(2). Let a = -228 - o. Let b = 130 + a. What are the prime factors of b? 5, 13 Suppose 0 = 281*a - 273*a - 32. Suppose 4*i + o = 1737, a*o - 934 = 5*i - 3079. List the prime factors of i. 433 Let v(k) = 2*k + 319. Let w be v(57). Suppose 4*h - 3734 = -1222. Let q = h - w. What are the prime factors of q? 3, 5, 13 Suppose -112*z + 1863 = -310841. List the prime factors of z. 2, 349 Let o = -54 - -54. Let p = -60 + o. Let z = p + 346. What are the prime factors of z? 2, 11, 13 Let l = 190 - -1153. Let z = l - 997. What are the prime factors of z? 2, 173 Suppose 33*a - 31*a = -22. List the prime factors of a/((-1208)/172 - -7). 11, 43 Suppose -r = r - b - 12779, -3*r + 4*b + 19166 = 0. What are the prime factors of r? 2, 3, 5, 71 Suppose -15 = z - 4*z. Let d(u) = u + 87. Let k be d(-34). Suppose -4*a + z*a = k. What are the prime factors of a? 53 Suppose 31*w - 129 = 28*w. Suppose -w*r + 40*r = -24. Let g = r + -4. What are the prime factors of g? 2 Suppose 0 = -3*i - w + 13, -4*i - 6*w + 32 = -w. Suppose 0*m + 15 = i*m. Suppose -m*l - 3*j + 81 = -j, -2*l + 4*j = -42. What are the prime factors of l? 17 Suppose -4*a + 175712 = -4*v, 31*a = 27*a + 3*v + 175719. List the prime factors of a. 3, 5, 29, 101 Let j = -32 + 39. Suppose -j*i + 6*i = 3*s + 353, 0 = 4*s + 2*i + 474. Let r = 204 + s. What are the prime factors of r? 2, 11 Let c(v) = -8*v**2 - 32 - 2*v**2 + 39*v + 5*v**3 - 2*v**3 + v**2 - 4*v**3. List the prime factors of c(-14). 2, 3, 67 Suppose -15797 = -4*a + s, -9*s = 2*a - 11*s - 7912. List the prime factors of a. 3947 Suppose -5*j + 126 = -5*g - 119, -j - g = -51. Suppose -2*r + j = 4*o - 174, -r = 3*o - 115. Let c = r - 21. List the prime factors of c. 5, 17 Let u(d) = 906*d**3 - d**2 - 5*d + 4. List the prime factors of u(2). 2, 7, 11, 47 Suppose 0*b - 5*b + 12 = -3*j, -4*j - 16 = -2*b. Suppose b*d - 21*d + 2289 = 0. List the prime factors of d. 109 Suppose 14295 - 1825 + 3093 = p. List the prime factors of p. 79, 197 Let l be 8/(-3)*(-3)/2. Let r = -281 + 297. Suppose -l*a - r + 80 = 0. What are the prime factors of a? 2 Let s(n) = 4736*n + 2855. List the prime factors of s(7). 36007 Let r(d) = -2*d**3 - 15*d**2 + 8*d - 30. What are the prime factors of r(-13)? 3, 5, 23 Let b(c) = -c**3 + 7*c**2 + 7*c - 14. Let o be b(7). Suppose -4*l = 7 - 63. Suppose l*h - o = 7*h. What are the prime factors of h? 5 Let f(c) = 433*c**2 + 53*c - 271. What are the prime factors of f(10)? 43, 1013 Let p = 9244 + -3091. What are the prime factors of p? 3, 7, 293 Let d = 4033 + 8782. List the prime factors of d. 5, 11, 233 Suppose 0 = 3*r - 0*r - 13229 - 44389. List the prime factors of r. 2, 3, 11, 97 What are the prime factors of 10452 - (135/9 + -7)? 2, 7, 373 Suppose -7*y = -16*y + 61740. Suppose -y = -17*h + 1453. What are the prime factors of h? 3, 163 Suppose -p + 3*i = i + 9, -5*p = 4*i + 73. Let h be (-120)/(-21)*(5 + 39/(-26)). Let j = h + p. List the prime factors of j. 7 List the prime factors of (-57618)/(-4) - 45/(-18). 14407 Suppose 0 = 4*z + 152 + 1940. Let w = z + 1395. List the prime factors of w. 2, 109 Suppose -2*y - 2 = -o - 8, 0 = 2*y - 2*o - 4. Suppose -4*a + 1501 = 3*b, 9*a - y*a - 1879 = -b. What are the prime factors of a? 2, 47 Suppose -8450 = -5*q - 5*a, 4*q + 0*q - a = 6770. List the prime factors of q. 2, 3, 47 Let a(x) = -x**3 + 31*x**2 + 66*x + 11. Let r be a(33). Suppose -4*c - 5*s + 4234 = 0, 0 = 3*c + 14*s - r*s - 3174. List the prime factors of c. 2, 3, 11 Let a = -4 - -42. Let o be (-349)/(-7) - 3*(-5)/105. Let d = o - a. What are the prime factors of d? 2, 3 Let m be (60/6)/((-4)/2). Let l(u) = u**3 + 6*u**2 + 4*u - 1. Let r be l(m). Suppose -k + r*z + 7 = -12, -3*z - 3 = 3*k. List the prime factors of k. 3 Let s = 932 - 1335. Let r = s - -795. List the prime factors of r. 2, 7 Suppose -30*z + 165281 + 63409 = 0. What are the prime factors of z? 3, 7, 11 Let i be (15/2)/5 - (-30433)/26. Let a = -740 + i. What are the prime factors of a? 2, 3 Suppose -68237 - 257313 = -25*o. What are the prime factors of o? 2, 17, 383 Let p(k) be the second derivative of -3*k**2 + 1/2*k**3 - 7/6*k**4 - 3/20*k**5 + 20*k + 0. What are the prime factors of p(-6)? 2, 3, 5 Let k(u) = u - 12. Let x be 3*(2 + 4) + 0. Let l be k(x). Suppose -2*r - j + l*j = -258, -4*r - 3*j = -542. List the prime factors of r. 2, 67 Suppose 19 = 5*y - 1, -4*y - 3578 = 3*m. Let q = -853 - m. List the prime factors of q. 3, 5, 23 Suppose 0 = -62*j + 88*j - 49556. List the prime factors of j. 2, 953 Suppose 4*y = 1381 + 9791. Suppose -5*j - 3*l - y = -8*j, 4*l = -5*j + 4664. List the prime factors of j. 2, 233 List the prime factors of 52/(-286) + (991504/44 - 0). 2, 19, 593 Let m = 5577 + -3833. What are the prime factors of m? 2, 109 Let d(n) = 78*n**2 - 13*n - 41. List the prime factors of d(-3). 2, 5, 7 Let p(n) = -11*n**3 - 176*n**2 - 46*n + 31. What are the prime factors of p(-19)? 2, 13, 17, 29 Suppose 3*p = 2*g - 11786, 17712 = 3*g + 2*p - p. List the prime factors of g. 2, 13, 227 Suppose 0 = -i + 482 + 2591. List the prime factors of i. 7, 439 Let z(s) = 3*s**3 + 6*s**2 - 3*s - 5. Let n be 10/(-90)*3 - (-16)/3. What are the prime factors of z(n)? 5, 101 Let p = -25 + 31. Suppose -p = -5*y - 4*n, 0*y + 4*n + 2 = -y. Suppose -y*z = -210 + 2. List the prime factors of z. 2, 13 Suppose 0 = 4*o + 39 - 27. Let u be o*(4 + -3) - 47*5. List the prime factors of (u/(-3))/(140/15 + -9). 2, 7, 17 Let v = -402 - -406. List the prime factors of (60/(-14))/(-1*v/224). 2, 3, 5 Let m be 284 + -10*(-1)/(-2). Let c = -145 + m. List the prime factors of c. 2, 67 Let z(j) = -j**2 -
{ "pile_set_name": "DM Mathematics" }
)/5161? 3/13 What is (-30)/14*119*(-178)/4539? 10 Evaluate ((-200)/138)/(-5)*(-981)/(-654). 10/23 What is 70/35*(-1)/(-4)*418/55*-5? -19 What is the value of (828688/465080)/(2/55)? 49 Calculate (7/(-1232)*-28)/(((-1869)/(-18))/89). 3/22 Evaluate 7/((-70)/(-100))*(-117)/(-546)*-35. -75 Calculate 123/((-3813)/124)*243/12. -81 ((10274/1868)/(22/14))/(-2) -7/4 (-29)/(290/40)*-66*(-2)/(-16) 33 What is ((7791/7)/53)/((-14)/(-4)*1)? 6 What is (-763)/(-109)*(-13)/(1352/16)? -14/13 What is the value of (((-465)/60)/(-31))/((6/(-259))/(808/(-707)))? 37/3 What is ((-2)/(-40))/((-28579)/86308580)? -151 Evaluate (1102/29)/(7*14/(-49)). -19 What is the value of 11*35/1386*(-6)/(-30)? 1/18 Calculate ((-3)/2)/((64/(-80))/4)*-6. -45 What is the value of ((-57095)/(-9015))/((-2)/(-12))? 38 What is the value of (0/(774/18))/9? 0 Evaluate (466/(-1398))/(6/414). -23 What is the value of ((-1)/9*1)/((-28252)/(-24216))? -2/21 (-48852)/2832*6/(-69)*(-152)/(-3) 76 What is the value of (-33)/(-198)*-9*(52/30)/1*40? -104 What is (471/43960*1225)/((-6)/(-16))? 35 Calculate -5*(-10)/125*(-542)/542. -2/5 Evaluate ((-24232)/(-1165))/((-1)/(-5)*-2). -52 What is ((-30)/(-3)*(-118)/2950)/((-48)/(-420))? -7/2 ((3192/(-171))/((-315)/27))/((-12)/(-2)) 4/15 What is the value of ((-7528)/(-10351))/((-180)/22)? -4/45 What is (15/(-300))/((-20)/550)? 11/8 6/7*(11840/14208)/(-1*5/(-28)) 4 What is the value of (25/2)/((-163)/(-652))? 50 Evaluate ((-108)/24)/(((-6)/20)/(154/(-55))). -42 Evaluate ((-120)/228)/((25515/648)/63). -16/19 What is the value of (-8)/(-128)*8*6/(-4)*744/(-9)? 62 Evaluate (2/8)/((-114)/110124*-345). 7/10 Calculate (-296390)/681697*(3/(-6)*2)/((-2)/(-6)). 30/23 Calculate (-1768)/39*19/((-456)/18). 34 Calculate ((-2520)/48)/(-35)*-14. -21 What is the value of (-11410)/1630*(-16)/(-6)*(-135)/(-17220)? -6/41 ((-684)/2280)/((-21)/7) 1/10 Evaluate (-42)/(-14)*1/(-20)*-52*4/(-6). -26/5 What is ((-2)/(-19))/(7188/136572)? 2 What is the value of 54/90*17010/2673? 42/11 Evaluate 7573/68157*(-32*1)/1. -32/9 -4*(-8)/336*(-777)/444 -1/6 What is (-22)/(-3)*(-12)/(-16)*28398/(-4733)? -33 Evaluate ((-58230)/7764)/(18/8). -10/3 Calculate -1*-57*66/418*1/(-9). -1 ((-45)/6)/(-5)*(-3)/(138/2944*32) -3 5/679*2646/945 2/97 Evaluate (-2*(-11)/(-2))/(-62)*1308/2398. 3/31 What is 19/(266/(-77))*1/3*2? -11/3 16/(1952/305)*8/(-10)*-2 4 What is ((212/(-3))/(18/(-27)))/((-4094)/2047)? -53 Evaluate ((-9486)/527)/(((-1)/3)/(10/105*7)). 36 Calculate ((-155)/25)/(17/85). -31 Evaluate 14/2*(491/14239)/((-7)/(-2117)). 73 What is the value of ((-248)/155)/(38/(-285))? 12 What is the value of 7/28*31*(-88)/22? -31 What is the value of (3*(-1)/2*-2)/((-20688)/(-89648))? 13 Calculate -11*(-162)/1485*5/(-3675)*-25. 2/49 -14*(-4964)/21896*23 73 What is (30/(-20))/((-336)/588)? 21/8 -1*1*(-656820)/(-426933) -20/13 (8/(72/(-15)))/(((-2)/(-60))/((-486)/1350)) 18 What is 6*((-55)/(-5))/(92/46)? 33 Evaluate -7*4*(12/(-56))/(7*42/343). 7 ((-624)/(-384))/((-9)/216) -39 Calculate (((-5)/(-10))/((-42)/20))/(2/(72/(-6))). 10/7 (1249/(-6245))/(11/(-35)) 7/11 What is the value of (3/(-18))/(((-2745)/189)/61)*(-8)/(-140)? 1/25 Calculate (((-3)/(-6))/1)/(104/104). 1/2 Calculate -3*(-8)/1278*(-2007)/153870*-23. 2/355 49293/32862*(640/112)/(-2*1/1) -30/7 What is 64*54/315*-5*(105/12)/(-5)? 96 What is (-17)/((-408)/168)*(-25)/140*-4? 5 Calculate 44/((9568/207)/52)*-1*(-2)/(-12). -33/4 What is (4/(-3))/((-6)/(-45))*3/((-180)/(-210))? -35 What is ((-1548)/(-27))/4*33/(-11)? -43 What is the value of ((-7)/63)/((-3)/(-57))*3*2034/(-226)? 57 Calculate -25*(9/(-72))/((-3)/24). -25 Evaluate ((-3)/(-1)*((-783)/2106)/(-29))/1. 1/26 Evaluate 17220/(-205)*((-2)/4)/(252/(-56)). -28/3 Evaluate ((-66)/(-10))/(2497/1135). 3 64/7*(-16835)/4810 -32 ((-36)/105)/(47043/146356) -16/15 Evaluate ((2/(-5))/((-68)/(-85)))/(1369/(-30118)). 11 What is the value of ((-604)/((-10419)/69))/(4/78)? 78 What is the value of (-31)/3*(90/4725*126)/((-8)/(-10))? -31 Evaluate 2/(((-156)/(-162162)*-21)/(2/(-6))). 33 What is (348/9)/((5850/(-135))/(-65))? 58 Evaluate 35*(-12)/(-504)*12/(-4). -5/2 Calculate (2121/25452*4*2)/(1/(-60)). -40 Evaluate ((-34)/(-374)*77)/(-1). -7 What is (86/1161*-9)/((3*3/(-12))/18)? 16 What is the value of ((-39)/51)/(381/(-6477))? 13 What is the value of (35/(-5600)*-112)/(2/(-7)*133/76)? -7/5 What is the value of (((-4)/7)/(8/28))/(-11*(-48)/2376)? -9 Evaluate (-260)/(-26)*55/(-50). -11 What is the value of 58/3*((-39933)/102)/87? -87 Calculate ((-6)/(-7)*256/(-1152))/(24/28). -2/9 (((-3)/27)/((-24)/(-235296)*86))/(2/(-6)) 38 Calculate (3250/(-5200))/(3/(-36)*-1). -15/2 What is the value of (12/231)/((-1924)/(-1703702))? 46 What is the value of (((-25)/15)/(1/(-9)))/(11*75/2200)? 40 Evaluate ((-1393)/(-5572))/((-2)/536). -67 (18/21*(-336)/(-64)*-5)/(3/6) -45 What is the value of (-7044)/(-15262)*(1664/12)/1? 64 Evaluate (84/(-40))/1*12*(-32)/(-896). -9/10 5508/(-35802)*27*-13 54 Evaluate ((-376)/1786)/(19/361). -4 Calculate (-3)/(((15/3)/(-40))/(110/660)). 4 Evaluate ((-960)/3200)/(5/50*3*2). -1/2 What is (-2968)/(-159)*165/1540? 2 -1*3/(-1)*((-1210)/(-121))/(6/10) 50 Evaluate (-31*244/(-1891))/((-6)/4). -8/3 What is the value of (135/(-240))/(3/4)*-52*26/95316? 1/94 ((-5)/((-330)/(-36)))/(1192/(-1639)) 3/4 What is the value of (-2)/((-114)/(-54549)*198)? -29/6 ((78432/(-2964))/(-344))/(4/(1768/6)) 17/3 40/(760/(-513))*1 -27 Calculate ((-3630)/2178)/((-5)/(-348)). -116 What is the value of 135201/(-5302)*(-4)/(-10)? -51/5 (570/(-8))/(-5)*(-3)/((-261)/928*8) 19 What is the value of ((-528)/(-18))/(-11)*(-25)/600? 1/9 Evaluate (-34256)/4282*495/(-40). 99 Calculate ((-390)/(-90))/(35/(-105)). -13 What is the value of ((-117)/(11232/(-160)))/((-1)/33)? -55 What is 6400/(-1664)*208/(-440)? 20/11 What is 3*(-31)/(-620)*-2? -3/10 What is the value of (19966/(-11324))/((-16)/(-608))? -67 What is the value of 195*(-2)/24*48/30? -26 Calculate 39/104*-2*(-70)/21*(-204)/(-5). 102 6*(12544/3087)/(-128) -4/21 What is 2/323*33041/10434? 1/51 What is the value of 1/(((-32)/24)/2*(-1)/35*-45)? -7/6 Calculate (-768)/864*(162/156)/(-3). 4/13 Evaluate 24/(-5)*94500/(-7560). 60 Calculate ((-6228)/(-519))/(-1*8/(-18)). 27 Calculate ((-12)/486*27*(-1)/(-5))/1. -2/15 What is the value of (-28)/161*2408/(-62608)? 2/299 Calculate ((-9*(-15)/(-945))/((-2)/7))/(14/(-192)). -48/7 Evaluate ((-35)/((-525)/(-990)))/((-72)/36*(-9)/24). -88 Evaluate (-200)/45*9/2. -20 What is the value of ((12/8)/1)/(-12*21/8400)? -50 Calculate (2916/756)/(((-18)/63)/2). -27 What is 12/135*(-54)/(-4)? 6/5 What is 6965/9751*12/15? 4/7 Calculate -6*(131/4585*-7)/(246/10). 2/41 What is (129/(67338/(-464)))/((-2)/54)? 24 What is 5/(-2)*546840/7350*(-5)/(-15)? -62 Evaluate 12*(-5)/(-1540)*1232/528. 1/11 24144/(-4527)*(-14)/(-35)*(-75)/(-8) -20 What is the value of 1729/(-182)*2484/(-342)? 69 What is (-256)/2752*(-11)/(-14)*(-10)/(-110)? -2/301 Calculate 3*(-8)/(-45)*-12*(-15)/(-80). -6/5 What is the value of (((-8)/210)/((-1320)/(-825)))/((120/(-28))/5)? 1/36 Calculate (2/4)/(((-59)/((-9558)/(-36)))/((-40)/(-42))). -15/7 Calculate (6/80)/((-126)/70*1). -1/24 What is the value of (((-5)/45)/((-1)/2))/((1275/(-90))/85)? -4/3 What is (-96)/(-48)*588/42? 28 Evaluate (1680/(-672))/(220/(-192)). 24/11 What is ((-188)/(-7050))/(249/(-415))? -2/45 Evaluate ((252/(-10))/(-3))/((-6276)/52300). -70 (4/8)/(21/72*-1*(-132)/3080) 40 What is (1/((-770)/20))/(9*7/(2646/72))? -1/66 What is (((-52)/78)/(-1))/(-2)*1212/4? -101 ((-15018)/(-2503))/((-11)/(660/8)) -45 (-19786)/(-5327)*(-14)/24 -13/6 Evaluate ((273/18)/(-13))/(59/1062). -21 Evaluate ((-48)/14)/(299/(-598)*2/(-14)). -48 (640/64*(-18)/(-105))/((124/(-7))/(-2)) 6/31 Evaluate -33*(-2)/(-16)*(-4185)/1674*4/15. 11/4 What is the value of ((-60)/((-156)/(-13)))/((-5)/(25/10))*-14? -35 ((-399)/210)/((-33)/(-330)) -19 Calculate ((-672)/384)/((-63)/(-1728)). -48 What is (-30*171/(-225))/((-15)/(-100)*-4)? -38 Calculate (2/98)/((-5)/25*(-10)/280*8). 5/14 Calculate (-203)/14*((-4)/(-14))/((-40)/280). 29 What is the value of ((-6)/57)/((-26)/5434*11)*(-162)/12? -27 What is 1830/4*-38*45/(-12825)? 61 Evaluate (588/21)/((2736/646)/(-18)). -119 Evaluate ((-3)/(-110))/((-185)/1850). -3/11 Calculate 6/(-5)*83*1960/8134. -24 What is the value of (5/12
{ "pile_set_name": "DM Mathematics" }
(0 - 1 + 3)*(-4 + 1 + 2)*(i - 3*i + 7*i). -10*i Expand (0 - 1 + 0)*(-5*k - 3*k + 2*k) + 0*k + k - 2*k. 5*k Expand (-5*c**3 + 6*c**3 - 3*c**3)*(0*c + 2*c - c) + 3*c**4 + 3*c**3 - 5*c**3 - 3*c**3. c**4 - 5*c**3 Expand 2*j**4 + 0*j**3 + 0*j**3 + (-j + j + 2*j**2)*(7*j**2 + 7*j**2 + j**2). 32*j**4 Expand (2*p + p - 2*p)*(-2*p + 3*p + 0*p) - 2*p**2 + p**2 + 3*p**2 + 0*p**2 + 0*p**2 - 2*p**2 + (p + 2 - 2)*(-3*p - p + 2*p) + 3*p**2 - 1 + 1. 2*p**2 Expand 1 - 2*t - 1 + (6 - 6 + 10)*(t - t - t). -12*t Expand (-4*g + 6*g + 0*g + (6 - 1 + 2)*(1 - 1 + g))*((2*g**3 + 0*g + 0*g)*(g + 2*g - 2*g) + 2*g**4 - g**4 + g**4 - 4 + 4 + g**4). 45*g**5 Expand (2*l + l**2 - 2*l)*(4 - 2 - 1)*(-1 + 1 + 2). 2*l**2 Expand (-3*d + 2*d + 3*d)*(-d - 2*d + d)*(d**3 - 2 + 2). -4*d**5 Expand -c**3 + 0*c**3 + 2*c**4 + 0*c**4 - 4*c**4 + c**4 + c**4 + (2*c**3 - 3*c**2 + 3*c**2)*(-2*c + 6*c - 2*c) - 2*c**2 + 2*c**2 - c**4 - 2*c**4 + c**4 - c**4. c**4 - c**3 Expand -u + 3*u**5 - 7*u**5 - 14*u**5 - 3*u**5 + 5*u**5 - u**5 + (-2*u + 0*u + u)*(4*u**3 - 4*u**3 - u**4). -16*u**5 - u Expand (4*r**2 + 2*r**3 - 4*r**2)*(-3 - 4 + 0)*(r**2 - 2*r + 2*r). -14*r**5 Expand (-2 + 4 + 0)*(3*m**2 - 3*m**2 - 2*m**3) - 2*m**3 + m**2 - m**2 + (-1 + 1 + 2*m)*(-2*m**2 + 3*m - 3*m). -10*m**3 Expand q**5 - 3*q**5 + 4*q**5 + (-q**4 - 3*q**4 + 5*q**4)*(2*q + q - 10*q). -5*q**5 Expand (-2*p - 9*p + 4*p)*(0 + 3 - 1)*(-p + p + 2*p)*(p + 0 + 0). -28*p**3 Expand c**4 + c - c + (-2*c**3 + 0*c + 0*c)*(3 - 3 + 3*c)*(1 + 3 - 6). 13*c**4 Expand (6 - 3 - 1)*(-5 + 3 - 1)*(-3 + 1 - 1)*(i - 4 + 4). 18*i Expand (-2*o**3 + 2*o**3 + o**3)*(-o + 0 - 3 + 4). -o**4 + o**3 Expand 5*r**2 - 5*r**2 - 3*r**2 + (2 - 3 - 3)*(3*r - 3*r + 2*r)*(0*r + 3*r - 4*r). 5*r**2 Expand (1 - 1 + 2*o)*(0 + 0 + 3*o**3) + 7*o**4 - 15*o**4 - 2*o**4. -4*o**4 Expand (k**2 - 27 + 27 + 9*k)*(6*k**2 - 5 + 5). 6*k**4 + 54*k**3 Expand -l**3 - 20*l - 2*l**2 + 3 + 20*l + (-3*l + l + 0*l)*(0 + 0 + l**2) - 3*l**3 + 3*l**3 - 3*l**3. -6*l**3 - 2*l**2 + 3 Expand (-6 + 1 + 4)*(1 - 6 + 4)*(l**2 + 4*l**2 - 3*l**2)*(-3*l + l + l). -2*l**3 Expand (-4*x**2 - 3*x**2 + 5*x**2)*(4*x**3 - 4*x + x - 3*x**3). -2*x**5 + 6*x**3 Expand (-4*k - 3*k + 3*k)*(6 - 3 + k - 2). -4*k**2 - 4*k Expand u**2 - u**2 - 6*u**4 + (3 - 3 - 2*u)*(-u**3 - 2 + 2) - 2*u**4 + u - u. -6*u**4 Expand 0*b - 2*b + b + 3*b - 2*b - 2*b - 4*b + 2*b + 3*b + (-3 + 0 + 4)*(b - 7*b + 4*b) + (-2*b - 1 + 1)*(-11 - 2 - 7). 37*b Expand -5*n**3 + 5*n**3 - 4*n**4 + (0*n + 0*n - 2*n**3)*(-3*n + 3*n + 2*n). -8*n**4 Expand (0*o**2 - 4*o**2 + 6*o**2)*(-o**2 + 3*o**2 + 0*o**2) + 0*o**4 - 3*o**4 + 2*o**4 + 24*o**3 - 4*o**4 - 24*o**3. -o**4 Expand 2*r**3 + r**3 - 2*r**3 - 2*r + 3*r**3 + 2*r + 4*r**3 + 3*r**3 + 0*r**3 + (0 + 1 - 2)*(2*r + r**3 - 2*r) - r**2 - r**3 + r**2. 9*r**3 Expand (0 + 2 + 0 + 0 - 2 + 0 + (3 + 0 - 2)*(4 - 2 + 0) + 0 - 1 + 4 + 2 - 2 + 1)*(4*p - 4*p - 2*p**4). -12*p**4 Expand r**4 + 3*r**4 - 3*r**4 + (r + 5*r - 2*r)*(2*r**3 + r**3 - r**3). 9*r**4 Expand -5*x**2 + 4*x**2 - x**2 + (-2 + 2*x + 2)*(5*x - 5*x + 8*x). 14*x**2 Expand -3*c**2 + 3*c**2 + 3*c**2 + (-c - 1 + 1)*(-5*c - c + 4*c) + 0 + 0 - 2*c**2 - 3*c**2 - 3*c**2 + c**2. -2*c**2 Expand i**3 - 4*i + 4*i + 111 - 111 + 15*i**3 + (-4*i**2 + 6*i**2 + 2*i**2)*(-2*i + i + 0*i). 12*i**3 Expand (-1 + 0 - 8)*((4 - 3 - 6)*(3*a + 0*a - 2*a) - 4*a + a - 5 + 4). 72*a + 9 Expand 3*g**5 - 5*g**5 + g**5 + (2*g**4 + 3*g - 3*g)*(-6*g - 7*g - 3*g). -33*g**5 Expand -z - z + z + 4*z + 0*z + 0*z + 2*z - 2*z + 2*z + (-3 - 3 + 5)*(3*z - 2*z - 4*z). 8*z Expand -2*i - i**3 + 2*i + (-5*i + 8*i - 3*i**2 + 5*i**2)*(-i + 2*i + 3*i). 7*i**3 + 12*i**2 Expand 14 - 28*b**2 - 14 - 5*b**2 - b**2 + 5*b**2 + (2*b + 2 - 2)*(-3*b + 4*b - 2*b). -31*b**2 Expand 10*g - 10*g**3 - 12*g + 0*g + g**2 - 1 + 1 + g**3 + g + 2*g**3 - g + (-2*g**3 - 2*g + 2*g)*(0 - 5 + 3). -3*g**3 + g**2 - 2*g Expand (-p**3 + 0*p**3 + 2*p**3)*(-2 + 0 + 0) + (-2*p + 2*p**2 + 2*p)*(2*p - 3 + 3). 2*p**3 Expand (-5 + 2 + 5)*(-2 + 3*p - 2*p - 5*p). -8*p - 4 Expand (-9*s - 4 + 4)*(0*s + 0*s + 2*s**2). -18*s**3 Expand (2 + 2*y - 2 - 9)*(0*y**3 + y**3 + 0*y**3 + (-y**2 - 1 + 1)*(0 - 2*y + 0)). 6*y**4 - 27*y**3 Expand 1 + 2 - 5 - 3*r**3 - r**3 + 0*r**3 - r**3 + (2*r + 0*r + 0*r)*(3*r**2 - r**2 + 2*r**2). 3*r**3 - 2 Expand -90 + 90 - 6*n**3 + (-2 - 2 + 3)*(-2*n**2 + 2*n**2 + n**3) - n**2 + n**2 - n**3. -8*n**3 Expand (-2*h + 5*h - h - 2*h**2)*(2*h + 2*h + 0*h)*(3 - 4 - 1). 16*h**3 - 16*h**2 Expand -865 - 56*o**5 + 865 - o**5 + 3*o**5 + 0*o**5 + (4*o**3 - o**3 - 5*o**3)*(-3*o + 3*o - o**2) - 2*o**4 + 2*o**4 + 2*o**5. -50*o**5 Expand -2*o - 1 + 1 + 0 - 2*o + 0 + (-1 + 0 + 0)*(1 - 1 - o) + 3 - o - 3 + (3*o - 2*o - 3*o)*(2 - 6 + 3). -2*o Expand (111 + 163 - 348)*(-2*w**2 - 2*w**2 + 2*w**2). 148*w**2 Expand 0 + 4*w**3 - w**3 + 1 + (w**2 + 2*w**2 - 4*w**2)*(-w - w + 4*w). w**3 + 1 Expand -6*j**4 + 7*j**4 + 5*j**4 + (1 - j**3 - 1)*(j - 2 + 2). 5*j**4 Expand (22*s - 73*s + 33*s)*(-2 + 3 - 2)*(-3 + 5 - 1). 18*s Expand (0 - l + 0)*(-3*l + 3*l - 2*l**2) - 2*l**3 + l**3 + 3*l**3 + 6*l**3 - l**3 + 0*l**3. 9*l**3 Expand (-m + 2*m**2 + m)*(-4*m**3 + 2*m**3 + 0*m**3) + 17*m + 11*m**5 - 17*m. 7*m**5 Expand 0*q**3 - 3*q**3 + 2*q**3 + (-q - 3*q - 3*q)*(0*q + 2*q**2 + 0*q) + 3 - q**3 - 3. -16*q**3 Expand (3 + 3 - 3)*(2*p - 2 + 2) + (-2 + 0 + 4)*(p + 0 + 0). 8*p Expand (1 + 2 - 2)*(-a**5 + 3 - 3) + 6*a**5 + 4 - 4 + 9*a**5 - 4*a**5 + a**5. 11*a**5 Expand (-7*t + 15*t + 1 - 10*t)*(4 + 0 - 6)*(t**4 + t - t). 4*t**5 - 2*t**4 Expand s**5 + 0*s**3 + 0*s**3 - 4*s**4 + 4*s**4 + 3*s**5 + (-3*s + 2*s**4 + 3*s)*(-s + 3*s - 4*s) - 3*s**5 - 4*s**4 + 4*s**4. -3*s**5 Expand (-3 - 2 + 29*f - 27*f)*(-f + 0*f + 3*f)*(-3*f + 6*f - 2*f). 4*f**3 - 10*f**2 Expand (37*x**2 - 37*x**2 - 8*x**3)*(-2 - 4*x + 2*x + x). 8*x**4 + 16*x**3 Expand 92 - 92 + 13*h**2 + (-2 - 2 + 6)*(5*h**2 - h**2 - 2*h**2). 17*h**2 Expand -2*g**3 + 6*g**3 - g**3 + (2*g + 2*g - 2*g)*(-2*g**2 - 2*g**2 + 3*g**2) - 5*g**3 + 4*g**3 + 0*g**3 - 3*g**3 - 2*g**3 + 2*g**3 + g**2 - g**2 - 2*g**3. -5*g**3 Expand (4 - 1 - 2)*(-4*d**3 + 4*d**3 + 3*d**3)*(3*d - d**2 - 3*d). -3*d**5 Expand (s + 2*s - 5*s)*(-2*s**3 + 0*s**3 - s**3 + (5*s**2 - 5*s**2 - s**2)*(0 + 0 + 2*s)). 10*s**4 Expand 0*a**4 + a**4 + 0*a**4 + 3*a**4 + 0*a**4 - 2*a**4 + (-2*a**4 + a - a)*(-4 + 2 + 6) - 4*a**3 - a**4 + 4*a**3. -7*a**4 Expand (w - 4*w + 2*w)*(0 + 2*w + 0)*(-7 + 7 + 8*w**3). -16*w**5 Expand (-32*b + 72*b - 38*b + 40)*(0*b - b - b)*(1 + 2 - 1). -8*b**2 - 160*b Expand (518*t + 71*t**2 - 518*t)*(t + 0 + 0). 71*t**3 Expand -8*w**5 - 19*w**5 + 35*w**5 + (3*w + 0*w - 5*w)*(-3*w**4 + 4*w**4 + w**4) + w**5 + 2*w**5 - w**5. 6*w**5 Expand 7*u**4 - u**4 - 2*u**4 + (-2*u + 4*u - u)*(2*u**3 + 0*u**3 - 4*u**3). 2*u**4 Expand -p**5 - p**5 - p**5 + (0*p**3 + 3*p**3 - 4*p**3)*(2*p - 2*p + p**2) + 2*p - p**5 - 2*p - 3*p**5 + 3*p**5 + p**5. -4*p**5 Expand (4*p + p - 4*p)*((0 + 0 - 2)*(-2 + 3 - 2) + 1 + 3 - 3 - 1 + 0 - 1 + 0 + 1 + 1)*(-4 + 0 + 2). -6*p Expand (-19 - 17 + 32)*(1 - 2*t - 1 - t - 3*t + 2*t + (2 + 0 - 3)*(5*t - t - 5*t)). 12*t Expand (7*d + 4*d - 5*d)*(8 + 4*d - 8). 24*d**2 Expand (-r - 6 + 6)*(-2*r**4 + 0*r**4 + 0*r**4) - r**5 + 0*r + 0*r. r**5 Expand (3 + 2 + 1)*(3*i + 3 - 3)*(0*i + i - 2*i)*(-1 + 1 + 2*i**3). -36*i**5 Expand 1 + 5*m - 5*m + 2*m + (3*m - m - m)*(2 + 0 + 1). 5*m + 1 Expand (-7*x + 56*x**4 + 7*x)*(3 - 3 + x + (1 - 1 + 2*x)*(1 - 1 + 2) - x + 3*x - 3*x). 224*x**5 Expand (0*q + 0*q - q**2)*(2*q - 3 + 3) + (-2*q**2 + 4*q**2 - q**2)*(-q + 2*q + q) - 3*q**3 + 6*q**3 - q**3. 2*q**3 Expand (0*o**5 - 3*o**5 + o**5)*(-2 + 0 + 13). -22*o**5 Expand (16*h**2 + 7*h**2 - 3*h**2)*(3 + 2 - 3). 40*h**2 Expand o**3 + 3*o**3 - 6*o**3 + (4*o**3 - 5*o**3 - 2*o**3)*(3 - 5 - 1). 7*o**3 Expand 3*l - 2*l + 0*l - 2 - l + 2 + (l - 2*l + 0*l)*(3 - 4 + 2) + 5*l - 4*l - 3*l - 3 + 3 + 4*l + (0 + 0 - 2)*(0*l + 0*l - l). 3*l Expand (4 - 2*a - 4)*(5*a**4 - a**4 - 3*a**4) + 0*a**5 - 2*a**5 + 0*a**5 - 7*a**5 + 4*a**5 + 2*a**5. -5*a**5 Expand 17*r - 6*r - 30*r - 4*r + 3*r - r + (-r + 2*r - 2*r)*(6 - 3 - 1) + 2*r - 2*r - r. -24*r Expand (-35 + 33 - 25)*(-2*k - k + 4*k + (3 - 4 + 3)*(3 - 3 - 2*k) + 0*k - 3*k + 2*k). 108*k Expand (-1 + 1 - 1)*(3 - 3 - y + (-4*y + y + y)*(-1 - 4 + 3) - y + 3*y - 3*y). -2*y Expand (6*a**2 + 8*a - 8*a)*(-2*a + 0 + 0) + a**3 + 4*a**3
{ "pile_set_name": "DM Mathematics" }
-4*m(k) - 9*v(k). List the prime factors of l(-14). 2, 19 Suppose -15*i = -2*i - 39. Suppose 4*b = -i*c + b + 168, -5*c + 272 = -3*b. What are the prime factors of c? 5, 11 List the prime factors of 8/(96/10332) - 0. 3, 7, 41 Suppose 2*o - 19 + 11 = -b, o = 5*b + 4. Suppose 31*n - 28*n - 2*r - 3405 = b, 3*r + 5675 = 5*n. List the prime factors of n. 5, 227 Let y = -180 - -935. Suppose 3*n + 1484 = 2*q, n = -q - 4*n + y. What are the prime factors of q? 5, 149 Suppose 4*q - 35 = -q. Let p be 130/(-39)*897/(-26). Suppose 8*z - q*z = p. What are the prime factors of z? 5, 23 Suppose h = -4*i + 2504, -5*i = 4*h - 3269 - 6703. Suppose h + 3872 = 6*v. What are the prime factors of v? 2, 5, 53 List the prime factors of (-4706097)/(-117) - (-118)/(-2301). 19, 29, 73 Suppose 4*v + 145 = 109. List the prime factors of (v/(180/16))/(10/(-9025)). 2, 19 Suppose 3*w + 23 = 5*z, w - 6*w - 5 = 0. Suppose z*d = -b + 3, 2*d + 6 = -2*b - 0*b. List the prime factors of (d/4)/((-3)/(-324)). 2, 3 Let y(t) = -14*t**2 - 12*t - 16. Let p be y(-8). List the prime factors of (6/(-4))/(9/p). 2, 17 Let m(i) = -i**2 - 8*i + 57. Let q be m(5). Let j(s) = s**3 + 17*s**2 - 3*s - 21. List the prime factors of j(q). 3, 193 Suppose 0 = -2*g + 12*g + 30. Let v be (-2034)/(-8) - 1/(4/g). Let b = v - 120. List the prime factors of b. 3, 5 Let o be 5/(100/(-92)) - 4/10. Let b = -7 - o. List the prime factors of (-1 - -11)*(3 - 10/b). 2, 5 Suppose 2*s - 5*s - 28882 = 5*u, -5*s + 5*u - 48110 = 0. List the prime factors of (-28)/20 + s/(-10). 31 Let w = -7479 - -25299. What are the prime factors of w? 2, 3, 5, 11 Let y(m) = 110*m + 1 + 8*m**2 - 105*m - 8. List the prime factors of y(6). 311 Let s(v) = 7*v**2 + 3*v - 15. Let x be s(-4). Suppose 88*w - 1845 = x*w. What are the prime factors of w? 3, 5, 41 Let t(b) = 17*b + 24*b + 11*b**2 + 15*b - 59*b + 24. List the prime factors of t(6). 2, 3, 67 Let v(f) = 9*f**2 - 47*f + 9. Suppose -3*t - 56 = -8*t + 4*l, 2*t - 28 = 3*l. Let u be v(t). Let d = u + -4. What are the prime factors of d? 5, 41 Let a(q) = q**2 + 1. Let m(j) = j + 1. Let i(g) = a(g) + m(g). Let s be i(0). Let f(l) = 6*l**3 - 2*l + 1. What are the prime factors of f(s)? 3, 5 Let r be (-227)/7 - 24/(-56). Let n(k) = -k**3 - 34*k**2 - 92*k + 54. List the prime factors of n(r). 2, 5, 19 Suppose -3*b - 4*r = -319, 3*b + 2*b + 5*r = 525. Let k = b + -63. Suppose -5*t - 5*c + 200 = 0, 5*t - 4*c - k = 126. What are the prime factors of t? 2, 3 Let g(w) = 5*w**2 - 10*w + 12. Let s be g(9). Suppose -7*m + 1500 = -s. Let p = -13 + m. What are the prime factors of p? 2, 31 Let w(i) = 22*i**3 + 8*i**2 - 34*i + 105. What are the prime factors of w(6)? 3, 61 Suppose -s - 2 + 8 = q, -2*q - 6 = 0. Suppose 4*f - c - 820 = 0, s*f - 6*f + c - 608 = 0. List the prime factors of f. 2, 3, 17 What are the prime factors of (-864141 - -5)/(-14) + 1 + -5? 2, 5, 1543 Let z be (-4)/14*(-84)/(-12). Suppose -3*o - 3*o = 42. List the prime factors of (o/((-63)/12))/(z/(-57)). 2, 19 Let y = 146 + -144. Let v(h) = 139*h**2 + 7*h - 1. What are the prime factors of v(y)? 569 Let a = -45 - -49. Suppose 2*n = a*n + 6. List the prime factors of 36 - 4/2 - (-12)/n. 2, 3, 5 Suppose 57*c = 5*c - 21*c + 1958590. What are the prime factors of c? 2, 5, 2683 List the prime factors of (-5 - -6)/((-1)/3)*-11122. 2, 3, 67, 83 Let j be (-328)/(-18) + 18/(-81). Suppose j*h - 7609 = 6611. List the prime factors of h. 2, 5, 79 Let l(i) = -27*i + 25. Let m(p) = 1. Let y(u) = -l(u) + m(u). Let q be 2 - (2 + 1 + -10). List the prime factors of y(q). 3, 73 Let j = -18467 + 47391. List the prime factors of j. 2, 7, 1033 Let k be (2/10)/((-1)/5). Let t = k + 6. Suppose -5*h + 5*c = -140, t*h - 45 = 3*c + 99. What are the prime factors of h? 2, 3, 5 Let i = -23011 + 24003. List the prime factors of i. 2, 31 Suppose -454*f = -441*f - 62972. What are the prime factors of f? 2, 7, 173 Let f(p) = -p + 16. Let a be f(7). Suppose -23*j = -a*j - 1876. List the prime factors of j. 2, 67 Let n = 56 + -53. Suppose 0 = -6*h + n*h - 9. List the prime factors of (-361)/h + (-9)/((-108)/8). 11 Let b = 196 + -149. Suppose 0 = -y + 52 + b. List the prime factors of y. 3, 11 Let c(f) = -f**3 - 6*f**2 - 6*f - 25. Suppose 266 = -7*k + 182. List the prime factors of c(k). 911 Let c(p) = 4018*p**3 - p**2 + 128*p - 262. What are the prime factors of c(2)? 2, 16067 Suppose -16*b + 149 = 5. What are the prime factors of (258/b)/(5/270)? 2, 3, 43 Let k be (-19)/57 - 421/(-3). Let j = k + 86. Suppose -5*d = -3*d - j. List the prime factors of d. 113 Let v(l) = l**3 - 16*l**2 - 14*l - 34. Let t be v(17). Suppose -t*z = z - 8280. What are the prime factors of z? 2, 5, 23 List the prime factors of (-17 - 733238/110)/(((-2)/(-5))/(-1)). 3, 5569 Let r(z) = -32*z - 61. Let s be r(20). Let f = s - -1031. List the prime factors of f. 2, 3, 5, 11 List the prime factors of (-18)/39*-13 - (-8731 - 1). 2, 17, 257 Let c(z) = -169*z + 79. Let o be c(-5). List the prime factors of -2 + -1 - (o*5)/(-12). 2, 191 Suppose -m - 4*i = -9, 4*i + i = -m + 9. Suppose 12*c - m*c = -6. List the prime factors of 10127/91 - c/(-7). 3, 37 Let j = -8987 - -24532. What are the prime factors of j? 5, 3109 Let f = 377 + -370. Suppose -f*h + 1082 = -5295. List the prime factors of h. 911 Suppose 12 = 4*d + 2*d. Let t be (46 - 1)/((-4)/d + 3). Suppose 3*n + t = 6*u - 5*u, -35 = -u + n. What are the prime factors of u? 2, 3, 5 Suppose 0 = 35*u - 229555 + 82765. List the prime factors of u. 2, 3, 233 Let j(a) = 5*a**2 - 75*a - 67. Let o(f) = 2*f**2 - 37*f - 34. Let t(x) = 3*j(x) - 5*o(x). List the prime factors of t(18). 11, 79 Suppose -5*c + 6 = -14. Let b(m) = 2*m - 11. Let j be b(c). List the prime factors of (-2760)/(-18) - (-1)/j. 3, 17 Let v = -5 - -9. Suppose 4*b = v*h - 488, 0*h - h + 2*b = -119. Let w = h - 89. List the prime factors of w. 2, 3 Suppose 6*x + 3 = 15. Suppose -x*f + 1 = -f - 3*u, f + 3*u = -5. What are the prime factors of f + (1 + 6)*5? 3, 11 Suppose -341 = 5*o + 129. Let t = o + 97. Suppose -h + t = 0, 0 = -2*s + 4*h + 14 + 14. List the prime factors of s. 2, 5 Let r(k) = 118*k - 433. List the prime factors of r(11). 5, 173 Suppose -5*o + 23540 = 2*y, -23515 = -5*o - 41*y + 44*y. List the prime factors of o. 2, 13, 181 Suppose -4*d - 5*f = -38855, 7 - 22 = -5*f. What are the prime factors of d? 2, 5, 971 Let i(p) = 39*p**2 - 16*p - 28. Let d be i(-7). Suppose d = 12*r - 729. List the prime factors of r. 227 Let l(c) = 31*c**2 - 56*c - 64. List the prime factors of l(21). 31, 401 Let m(s) be the third derivative of -11*s**4/24 - 29*s**3/6 + 15*s**2. Suppose -5*r = 5*l + 60, -4*r - 3*l - 53 = -5. List the prime factors of m(r). 103 Let v(d) = d**3 - 9*d**2 - 29*d + 10. Let f be v(12). Let r = f - 90. Suppose 4*y + 136 = 4*t - 748, r*t + 3*y - 856 = 0. List the prime factors of t. 7, 31 Let k(u) = -532*u - 2674. What are the prime factors of k(-50)? 2, 7, 1709 Let g = 37669 + -31475. List the prime factors of g. 2, 19, 163 Let x be 13/(-22)*2 - (-120)/660. What are the prime factors of (-121)/(-2 + 0 - x)? 11 Let l(i) = 5438*i + 2314. What are the prime factors of l(5)? 2, 461 Suppose -3*s + 12 = 0, 2*s - 5 + 2 = -5*h. What are the prime factors of (0 + h)*(-336 - 0)? 2, 3, 7 Let z(t) = 17*t**2 - 8*t + 8. Let h = 166 + -163. What are the prime factors of z(h)? 137 Let v = -1486 - -3302. Suppose 12*u - 15376 + v = 0. List the prime factors of u. 2, 5, 113 Let d be 14*(6 + (-287)/49). Suppose c + d*c = 3*o - 3657, -5*o - 2*c = -6081. What are the prime factors of o? 1217 Suppose -2*b = 3*b - 1180. Suppose 0 = 7*f - 324 - b. What are the prime factors of (-1)/(-3)*(f*4 - -1)? 107 Let c(t) = t**3 - 10*t**2 - 13*t + 36. Suppose 3*i - 15 = -2*i. Suppose 9 = -i*v, 3*m - 4*v = -2*v + 42. What are the prime factors of c(m)? 2, 3, 7 What are the prime factors of ((-39)/104)/((-6)/90256)? 5641 Let j = 71680 + -45218. List the prime factors of j. 2, 101, 131 Let m be 42/98 - 72/(-28). Suppose m*a + 10*s - 8*s = 4736, a + 2*s - 1580 = 0. List the prime factors of a. 2, 3, 263 Let a = -7 - -1. Let j be (a - -3)/1 - -6. Let x(u) = 4*u**3 - 5*u**2 + 9*u - 7. List the prime factors of x(j). 83 Suppose -3*y - 3 = 4*p + 1, -12 = y + 4*p. Suppose -8*k + 20 = -y*k, 5*r - 560 = -2*k. List
{ "pile_set_name": "DM Mathematics" }
s greater: h or -3? h Let a = 0 - -1. Let v be (-1)/(a/8)*-2. Suppose -p - 4*t - 8 = 0, 5*p = 2*t - 2 - v. Do p and -4 have different values? False Suppose -2*y = -c - 2, 5*c + 4*y = 3 + 1. Suppose c = -5*b - 0 + 5. Which is smaller: 2/3 or b? 2/3 Let f(r) = -r**2 - 5*r - 1. Let k be f(-5). Let z = k + 2. Let s = -11 - -13. Is s less than z? False Suppose 2*p - 3 = 3*p. Suppose 0 = -3*v + 12 + 6. Let g be ((-1)/2)/(3/v). Are p and g equal? False Let m(r) = r**2 + 13*r + 18. Let j be m(-10). Are j and -11 nonequal? True Let f(h) = -h**3 + 6*h**2 + 5. Let v be f(6). Suppose -4*j - 11 = 3*s + 6, s = -v*j - 24. Let b = 3 + -2. Is s < b? False Suppose 5*n = -3*z + 6, -5 - 7 = -2*n + 2*z. Let i = 1 - n. Let c be i/(((-8)/(-3))/4). Which is greater: -4 or c? c Let w = -3/19 + 59/133. Which is greater: w or 19? 19 Let y(t) = t - 8. Let f = -10 - -26. Suppose f = 3*o - o. Let p be y(o). Which is bigger: p or -1? p Suppose 5*d - 11 = -4*p, 3*p = 2*d - 3 - 6. Suppose h - 13 = -3*c + 6, 12 = d*h. Are c and 7 unequal? True Suppose -6 = 4*c + 3*t, 4 = -0*c + 2*c - 2*t. Let y = -1 + 0. Which is smaller: c or y? y Let i = 76 - 91. Which is bigger: i or 3? 3 Let h = 0.1 - -0.2. Let m = 0.4 - h. Which is greater: -4/5 or m? m Let n be ((-50)/30)/((-1)/3). Is n < 3? False Let q = 3/2 - 7/4. Let p = -0.89 + 0.69. Which is bigger: q or p? p Suppose -5*g - 5*b = -10*g, -2*b = -3*g - 2. Is g at least -2? True Let z be 9/(-12) + (-6)/(-8). Let m = 60 + -959/16. Does m = z? False Suppose -6*h = 50 + 406. Do -76 and h have the same value? True Let s(z) = -z**3 - 3*z**2 + 3*z - 2. Let y be s(2). Let f be 4/y*2*0. Is -3/4 > f? False Let x(d) = 2*d**2 + 11*d + 6. Let r be x(-8). Which is bigger: 47 or r? 47 Suppose 4*v + 18 = 3*s, 2*s + 2*v + 2 = -0. Let o = -3 - -2. Let d = s - o. Is 4 >= d? True Suppose -12 = -0*f + 3*f - u, 3*u = 0. Let b be -1 + (f - (-1 + 0)). Let g(l) = 3*l. Let m be g(-1). Is b bigger than m? False Let j be (-1 + 0)*13/65. Which is greater: j or 0? 0 Let u = 116459/167046 + -1/5062. Let j = u - 4/11. Which is bigger: -1/9 or j? j Let c(i) = i - 14. Let l be -1 + 8*(-8)/(-4). Let b be c(l). Which is smaller: -2 or b? -2 Suppose 0 = 3*z - 5*f - 59 - 16, 5*f = z - 15. Is z less than 30? False Let n(y) = y**2 + 6*y + 1. Let i be n(-5). Which is smaller: -13/5 or i? i Let b(n) = n**2 + 3*n - 1. Let k be b(-4). Suppose -w + 4 = -3*z - 0, w - z - 8 = 0. Let c = 13 - w. Is k less than or equal to c? True Let q = 9 - 6. Let w be (-1)/1 + 0/q. Let b be 3/((-33)/20) - 12/(-6). Which is bigger: b or w? b Let n be ((-4)/40)/(1/2). Let g(o) be the third derivative of o**6/120 - 7*o**5/60 + 7*o**4/24 - 5*o**3/6 - 3*o**2. Let q be g(6). Is n bigger than q? False Let m be (-1)/(39/(-9) + 4). Is m < 2? False Suppose -t - 22 = -4*o, -4 = -4*t - 3*o + 3. Let i be (-1 - t)*1*-1. Which is smaller: 2/7 or i? i Let m be (-1)/7 + 6/21. Let n(f) = 4*f - 3. Let a be n(1). Which is bigger: m or a? a Let p(f) = -3*f - 6. Let c be p(-4). Is c not equal to 6? False Suppose -22*q + 441 = -13*q. Is 51 at least as big as q? True Let w = -27 - -19. Let u be (-10)/w - 4/16. Is -5 <= u? True Let i be 3 - ((-7)/(7/(-15)) - 4). Is -47/6 greater than i? True Let i = -13 - -79/6. Suppose -2*m - 6 + 8 = 0. Does m = i? False Let a be 0/3 - 130/(-8). Let b = -577/36 + a. Which is smaller: b or -1? -1 Let p be 1 + 1*(1 + -3). Let a(b) = -b**3 - 9*b**2 - 4*b + 4. Let h be a(-4). Let z be (-8)/20 + (-14)/h. Which is smaller: z or p? p Suppose 0 = 4*d - 9*d + 20. Let s be -1 - -2 - d*1. Let f be -1*((-6)/s - 5). Is f less than 3? False Let r be (-5)/10 - (-9)/26. Let l = -6.99 - -7. Let s = -0.01 + l. Which is smaller: r or s? r Let y = 1946/9 + -216. Let d = 97 - 98. Is y smaller than d? False Let v = 47 + -56. Which is smaller: -2 or v? v Let n = -28 + 82/3. Let u = 1.3 + -10.3. Which is greater: u or n? n Let x = -59 - -532/9. Which is smaller: x or 1? x Let y = -30 + 31. Let p = 10 + -3. Let c = 4 - p. Which is smaller: y or c? c Let w be (-6)/(-8) - (-21)/(-12). Suppose -5*c = 4*x + 33, -2*c = x + 3*c + 27. Does x = w? False Let j be ((-3)/(-4))/(1/4). Suppose 4*s = j*s + 3. Let i = 6 - s. Which is smaller: 4 or i? i Let d be 3 + (-12)/9*-3. Is d less than or equal to 10? True Let t = 6 + -78. Is -74 at most t? True Let j = 6/11 + 58/55. Let w = -39 + 42. Which is bigger: w or j? w Let n be (51/4 + 0)*(-28)/(-7). Which is smaller: n or 50? 50 Let r be (-65)/9 - -7 - (-409)/18. Is 22 >= r? False Let a = 56 + -78. Let c = -21 - a. Are c and 1/12 equal? False Suppose 7*z - 139 + 118 = 0. Let i(h) = -h**3 + 7*h**2 - 5*h - 5. Let a be i(6). Which is smaller: z or a? a Let c(p) = -4*p**2 + p**2 + 4*p**2 + 1 + 8*p**2. Let i be c(-1). Let w = i + -10. Which is smaller: w or 5/4? w Let m be (4/(-10))/((-11)/(-220)). Let j(f) = f - 8. Let l be j(0). Is m at least l? True Let s = 15629/4 - 3956. Let y = -48 - s. Let g(p) = -p**3 - 7*p**2 + p + 7. Let i be g(-7). Which is bigger: i or y? y Suppose 0 = -5*f + 4*m - 2, 10*f - 7*f - 5*m = 4. Which is greater: 7 or f? 7 Let v = 130 + -227. Is v > -0.2? False Suppose q = -2*q - 60. Which is bigger: -19 or q? -19 Let x be 1*-2 + 5 + -1. Suppose -4*q = -2*q + 3*t + 1, 0 = 3*q + 4*t + 3. Let u = x + q. Which is bigger: -1 or u? -1 Let w(r) = 3*r - 1. Let x = -4 - -5. Let g be w(x). Let k be 2/(g - 4) + -1. Is -3 at most k? True Let y(m) be the third derivative of -m**6/120 + m**5/60 + m**3/3 - 8*m**2. Let g be y(2). Is -3 greater than or equal to g? False Let t be (-1 - -2)*8/32. Let p = 174586/21 + -8312. Let q = -88/63 + p. Is q >= t? False Suppose -5*j + j = -4. Suppose 5*q = 9*q + 8. Let n be 0/((-2)/(q + 1)). Which is smaller: n or j? n Suppose 4*c - 6 + 18 = 0. Which is smaller: 0 or c? c Let f be -1 + (-1)/(-1) - 1. Suppose 0 = 3*r + 2*r. Is f less than r? True Let k = -2 - -2. Let a = 0.1 + k. Let d be (-6)/(-10) + 0 + (-209)/165. Is d at most a? True Suppose -22 + 103 = 3*n. Let u = -31 + n. Is -11/4 at most u? False Let d be (3/1)/((-2)/(32/12)). Which is smaller: -12 or d? -12 Let i = 16 + -7. Suppose -i = 6*b - 69. Which is bigger: 9 or b? b Suppose 0 = -2*f + 30 - 80. Let v be (-32)/(-2)*22/(-14). Let l = v - f. Which is smaller: l or -1? -1 Let h be 2/(-6) + (-6)/9. Which is smaller: 2/11 or h? h Suppose 3*v + 0 = -15. Let m = v - -2. Is m < -0.2? True Let a be 3142*3/(52 + 2). Let q = a - 175. Does q = 0? False Suppose 1 = 5*f + 3*l, -2*l + 7 = -2*f + 1. Let y be 8/(-2 - -1)*4. Let d = y + 191/6. Is d != f? True Let g = -0.11 - -0.47. Let a = 0.3 - g. Let v = 2.94 - a. Are 1 and v unequal? True Let q = -0.14 + 0.24. Is q greater than -2? True Let v = 22/3 - 676/93. Is 0 != v? True Let n = 18 + -11. Let w = n + -12. Let h = 7 + w. Is -1 less than h? True Let c(l) = -l**3 + 2*l**2 - 2*l + 3. Let p be c(2). Let y(m) = m**3 + 9*m**2 + 7*m - 9. Let w be y(-8). Let f be 3 + 36/(-10) - w. Is p equal to f? False Let b be (-2)/16 - 8/(-64). Which is greater: b or 2/61? 2/61 Suppose 16*i - 27 = 5. Is i at most 14/5? True Let w be (1 + 1)*(2 + -9). Let o = w - -24. Let f be 4/(8/o)*1. Which is bigger: 4 or f? f Let j be 3/(-12)*-1 + 0. Do 2 and j have different values? True Let l be 4/12*36/(-28). Which is smaller: l or 1? l Let p = -66 - -68. Is p at least -5/6? True Suppose 0 = 2*w - z - 6 - 5, -5*w - 5*z + 20 = 0. Suppose -3*t - w*g - 6 = 10, 5 = 5*t + 2*g. Which is smaller: t or 4? t Let d(q) = 15*q + 12. Let c be d(-4). Is c > -49? True Suppose 0 = 2*v - 1 - 3. Let i(q) = -3*q + v*q + q + 3*q + 4. Let t be i(-3). Which is bigger: -6 or t? t Suppose w = 3*w + 12. Let n(r) = r**3 + 5*r**2 - 4*r + 7. Let a be n(-6). Is w at least as big as a? False Suppose 0 = -x - 4*n + 320 - 65, 1187 = 5*x - 2*n. Let h be (-1)/2 + x/190. Let l = 3/19 - h. Which is bigger: l or -1? l Let g = -4 - -8. Let z = 22.2 - 22. Let k = z + -2.2. Which is bigger: g or k? g Suppose -7*s + 11*s = 140. Suppose 2*b + s = 7*b. Which is greater: 8 or b? 8 Suppose 0 = -2*v + v + 1. Let j = 2 + -9. Let q = j - -6. Is v at most as big as q? False Let v(k) = k. Let p be v(-1). Let f be 15/((-9)/3) + p. Let b = f - -8. Do b and 2 have the same value? True Suppose -3*x + 5*x = 2*q - 6, 30 = -4*x - 5*q. Let b(u) = u**2 - 6*u - 6. Let v be b(6). Which is smaller: v or x? v Suppose -4*w =
{ "pile_set_name": "DM Mathematics" }
08811, -353992, -555585? -1567*z**3 - 2584*z - 16 What is the o'th term of -32, -1185, -3494, -6959, -11580, -17357, -24290? -578*o**2 + 581*o - 35 What is the j'th term of 2533, 2657, 2837, 3103, 3485, 4013, 4717, 5627? 5*j**3 - 2*j**2 + 95*j + 2435 What is the m'th term of -77143, -77170, -77197, -77224, -77251? -27*m - 77116 What is the w'th term of 409, 3325, 11283, 26809, 52429, 90669, 144055? 421*w**3 - 5*w**2 - 16*w + 9 What is the z'th term of 22414, 22458, 22622, 22966, 23550, 24434, 25678? 10*z**3 - 26*z + 22430 What is the k'th term of -19839323, -19839317, -19839311, -19839305, -19839299? 6*k - 19839329 What is the m'th term of -46131577, -46131552, -46131527, -46131502, -46131477? 25*m - 46131602 What is the f'th term of -10448, -78808, -262978, -620864, -1210372, -2089408, -3315878, -4947688? -9651*f**3 + f**2 - 806*f + 8 What is the o'th term of 66133268, 66133267, 66133266, 66133265? -o + 66133269 What is the v'th term of 2723554, 5447106, 8170658, 10894210? 2723552*v + 2 What is the t'th term of -742015, -1484080, -2226145, -2968210, -3710275? -742065*t + 50 What is the i'th term of -330025, -330417, -330809? -392*i - 329633 What is the m'th term of 16049, 31706, 47363, 63020? 15657*m + 392 What is the p'th term of -1658, -3170, -4650, -6086, -7466, -8778, -10010, -11150? 2*p**3 + 4*p**2 - 1538*p - 126 What is the o'th term of -62245910, -62245907, -62245904? 3*o - 62245913 What is the t'th term of 36183, 72502, 108821, 145140, 181459, 217778? 36319*t - 136 What is the c'th term of 133692, 534970, 1203770, 2140092, 3343936, 4815302, 6554190? 133761*c**2 - 5*c - 64 What is the t'th term of -2270960, -2270964, -2270968, -2270972, -2270976? -4*t - 2270956 What is the t'th term of 48165, 96318, 144449, 192558, 240645, 288710, 336753? -11*t**2 + 48186*t - 10 What is the p'th term of 5812, 22303, 49478, 87343, 135904, 195167, 265138, 345823? p**3 + 5336*p**2 + 476*p - 1 What is the p'th term of 1040, 2147, 3322, 4565, 5876, 7255? 34*p**2 + 1005*p + 1 What is the g'th term of 7456, 19848, 32236, 44620, 57000, 69376, 81748? -2*g**2 + 12398*g - 4940 What is the q'th term of 639324, 1278682, 1918026, 2557350, 3196648, 3835914, 4475142, 5114326? -q**3 - q**2 + 639368*q - 42 What is the y'th term of 75143, 150239, 225291, 300299, 375263, 450183? -22*y**2 + 75162*y + 3 What is the g'th term of 1053, 1968, 2875, 3774, 4665, 5548, 6423? -4*g**2 + 927*g + 130 What is the h'th term of -10786165, -21572331, -32358501, -43144675, -53930853, -64717035, -75503221? -2*h**2 - 10786160*h - 3 What is the t'th term of 4022, 32268, 108970, 258362, 504678, 872152, 1385018? 4039*t**3 - 6*t**2 - 9*t - 2 What is the x'th term of 1052, -19, -1804, -4303, -7516, -11443, -16084? -357*x**2 + 1409 What is the h'th term of -409029, -408791, -408549, -408303, -408053, -407799, -407541? 2*h**2 + 232*h - 409263 What is the j'th term of 8399, 8217, 8035? -182*j + 8581 What is the f'th term of -62990, -246725, -552950, -981665, -1532870? -61245*f**2 - 1745 What is the v'th term of 11131214, 22262429, 33393644, 44524859, 55656074? 11131215*v - 1 What is the s'th term of -38805228, -38805232, -38805236, -38805240, -38805244? -4*s - 38805224 What is the f'th term of 75567, 151013, 226459, 301905, 377351? 75446*f + 121 What is the w'th term of 148, 8903, 34708, 86089, 171572, 299683, 478948, 717893? 1421*w**3 - w**2 - 1189*w - 83 What is the h'th term of -3293895, -3293894, -3293893? h - 3293896 What is the r'th term of -1025, -3272, -7031, -12302, -19085? -756*r**2 + 21*r - 290 What is the g'th term of -14033, -13692, -13333, -12956, -12561, -12148, -11717? 9*g**2 + 314*g - 14356 What is the b'th term of -4963, -9191, -13445, -17719, -22007, -26303, -30601, -34895? b**3 - 19*b**2 - 4178*b - 767 What is the k'th term of -7029948, -7029936, -7029924? 12*k - 7029960 What is the d'th term of 10013, 10126, 10307, 10550, 10849, 11198? -d**3 + 40*d**2 + 9974 What is the o'th term of 174146621, 348293242, 522439863, 696586484, 870733105, 1044879726? 174146621*o What is the v'th term of -159576, -159465, -159358, -159255, -159156? -2*v**2 + 117*v - 159691 What is the z'th term of 20631, 82525, 185683, 330105, 515791? 20632*z**2 - 2*z + 1 What is the s'th term of -203195, -406222, -609249, -812276? -203027*s - 168 What is the f'th term of -9237333, -9237337, -9237341, -9237345? -4*f - 9237329 What is the y'th term of -12269, -12809, -13349? -540*y - 11729 What is the q'th term of 12933, 12881, 12987, 13251? 79*q**2 - 289*q + 13143 What is the k'th term of -2917, -396, 2125, 4646? 2521*k - 5438 What is the s'th term of -18978603, -18978602, -18978599, -18978594, -18978587? s**2 - 2*s - 18978602 What is the i'th term of 1034, 1692, 1918, 1712, 1074, 4, -1498? -216*i**2 + 1306*i - 56 What is the k'th term of -23378, -21784, -19130, -15416? 530*k**2 + 4*k - 23912 What is the h'th term of 18321, 73314, 164963, 293262, 458205, 659786? -h**3 + 18334*h**2 - 2*h - 10 What is the u'th term of -2225, -4460, -6691, -8918, -11141, -13360? 2*u**2 - 2241*u + 14 What is the a'th term of -3537, -3358, -3179, -3000? 179*a - 3716 What is the q'th term of 68939191, 137878381, 206817571, 275756761, 344695951? 68939190*q + 1 What is the q'th term of -8781862, -8781863, -8781864, -8781865, -8781866, -8781867? -q - 8781861 What is the t'th term of -150903, -301798, -452689, -603582, -754483, -905398, -1056333, -1207294? -t**3 + 8*t**2 - 150912*t + 2 What is the d'th term of -36456, -63101, -89746, -116391, -143036? -26645*d - 9811 What is the s'th term of -1423, -2016, -2619, -3244, -3903? -2*s**3 + 7*s**2 - 600*s - 828 What is the y'th term of 6104, 24396, 54878, 97550, 152412, 219464? 6095*y**2 + 7*y + 2 What is the h'th term of -512383, -2049679, -4611851, -8198905, -12810847? -h**3 - 512432*h**2 + 7*h + 43 What is the w'th term of 30, -385, -1618, -4077, -8170? -68*w**3 - w**2 + 64*w + 35 What is the d'th term of 44133, 43555, 42977, 42399? -578*d + 44711 What is the l'th term of 454, 1570, 3350, 5794? 332*l**2 + 120*l + 2 What is the p'th term of 317853, 317743, 317633? -110*p + 317963 What is the r'th term of 11600347, 11600350, 11600353, 11600356, 11600359? 3*r + 11600344 What is the z'th term of 433, 1713, 4003, 7417, 12069, 18073? 19*z**3 + 391*z**2 - 26*z + 49 What is the l'th term of 492, 479, 548, 765, 1196, 1907, 2964, 4433? 11*l**3 - 25*l**2 - 15*l + 521 What is the j'th term of -1306, -5306, -11986, -21358, -33434, -48226? -2*j**3 - 1328*j**2 - 2*j + 26 What is the i'th term of 4, 333, 776, 1333, 2004, 2789, 3688? 57*i**2 + 158*i - 211 What is the f'th term of 26295, 26283, 26263, 26229, 26175, 26095? -f**3 + 2*f**2 - 11*f + 26305 What is the r'th term of -1606, -893, -180? 713*r - 2319 What is the f'th term of 196731816, 196731817, 196731818, 196731819, 196731820? f + 196731815 What is the n'th term of -22800, -22950, -23100? -150*n - 22650 What is the n'th term of -88500, -88311, -88122? 189*n - 88689 What is the u'th term of 2184, 8294, 18494, 32784, 51164? 2045*u**2 - 25*u + 164 What is the l'th term of 910, 232, -400, -962, -1430, -1780, -1988, -2030? 4*l**3 - l**2 - 703*l + 1610 What is the n'th term of -852525, -852490, -852455? 35*n - 852560 What is the w'th term of -62355, -249513, -561441, -998139, -1559607, -2245845? -62385*w**2 - 3*w + 33 What is the n'th term of 43721, 44331, 44941, 45551? 610*n + 43111 What is the q'th term of -7531, -7779, -8377, -9499, -11319, -14011, -17749, -22707? -29*q**3 - q**2 - 42*q - 7459 What is the h'th term of -577, -1575, -2623, -3745, -4965, -6307, -7795, -9453? -4*h**3 - h**2 - 967*h + 395 What is the n'th term of 23097, 46396, 69695, 92994, 116293, 139592? 23299*n - 202 What is the n'th term of 730, 1385, 2814, 5293, 9098, 14505, 21790, 31229? 46*n**3 + 111*n**2 + 573 What is the g'th term of -155617, -622381, -1400325, -2489455, -3889777, -5601297, -7624021, -9957955? -g**3 - 155584*g**2 - 5*g - 27 What is the j'th term of 119752, 118535, 117322, 116113, 114908, 113707, 112510? 2*j**2 - 1223*j + 120973 What is the l'th term of -228692, -228638, -228548, -228422? 18*l**2 - 228710 What is the y'th term of 1351, 562, -227, -1016, -1805, -2594? -789*y + 2140 What is the c'th term of 7453, 9734, 12015? 2281*c + 5172 What is the a'th term of
{ "pile_set_name": "DM Mathematics" }
0 smaller than -2/565829? False Which is smaller: -468 or -4032? -4032 Is -10/13 at least as big as 0? False Do -245526/5 and -49106 have different values? True Is -2/341 at least 110.1? False Is 14135 at least 14137? False Which is bigger: -26965 or 29? 29 Which is greater: -3 or -64793? -3 Is -67/23124 bigger than -1? True Is 150 at most 320/21? False Does 3055 = 1/4? False Which is bigger: -25 or -2704? -25 Which is smaller: -4862 or -4875? -4875 Are -2482 and -0.059 non-equal? True Is 11004/107 less than 104? True Which is smaller: 6 or 20580? 6 Is -674 at least 1.3? False Are -1048/195 and -5 non-equal? True Does -9603 = -48012/5? False Which is greater: 23682 or 23687? 23687 Does 3558 = 3560? False Is 1084 smaller than 1083? False Is 4/802551 at most -1? False Which is smaller: -81.53 or 0.119? -81.53 Which is smaller: 19273 or 19085? 19085 Are -4574 and -4338 non-equal? True Is -1 >= 0.326755? False Which is smaller: -1 or 83/175723? -1 Which is smaller: 902921 or 3? 3 Which is smaller: 0.1969 or 7.3? 0.1969 Are 1 and 626/1219 non-equal? True Which is bigger: 0.1 or 608411? 608411 Is 189467 >= 189468? False Which is smaller: 561 or 593? 561 Which is greater: 791 or 783? 791 Which is greater: 9 or -83748? 9 Is 1 smaller than 192/51283? False Which is bigger: -54168 or -108335/2? -108335/2 Is -1 at least as big as -88/12913? False Which is smaller: 9905 or 9815? 9815 Is 1931172 != 1931173? True Which is smaller: 1 or 44/11503? 44/11503 Does 170/141 = 7? False Which is smaller: 81/23 or -17.71? -17.71 Which is smaller: -43528 or -43533? -43533 Which is smaller: 0 or -24/344783? -24/344783 Is -38/167 less than 2? True Is -28/80943 at most 0? True Which is greater: -939635 or -939632? -939632 Which is smaller: -276 or -600? -600 Which is smaller: -3/1507 or 1? -3/1507 Which is smaller: 1 or 8211992? 1 Which is smaller: 61/3127 or 0? 0 Which is smaller: -524/257 or 2/5? -524/257 Which is smaller: 0 or -14/237? -14/237 Is -2733246 >= -2733245? False Which is smaller: -120 or -88? -120 Which is smaller: 4/1728955 or 0? 0 Which is smaller: -35273/6 or -5879? -5879 Which is bigger: 18000 or -5? 18000 Which is smaller: 828130 or 1? 1 Which is bigger: -0.1 or 168132? 168132 Which is smaller: -0.3 or 206.83? -0.3 Which is smaller: 9.1 or -7? -7 Is 1/652407 less than or equal to -1? False Is -38030/13 != -2925? True Which is bigger: 22/65909 or 1? 1 Is -18 at least as big as 4894? False Is -1 at most -2/144977? True Does 11723 = 11724? False Is -0.1 <= -14.223? False Which is greater: 967 or 980? 980 Which is smaller: 1/10 or -112655? -112655 Which is smaller: -2518 or -1? -2518 Which is smaller: 0.0689574 or 2/3? 0.0689574 Is -614883 at least -0.1? False Is -28280 less than 1? True Is -92 at least -586? True Does 289/78 = 3? False Is 4567/117 smaller than 40? True Do 170022 and 170023 have different values? True Which is smaller: 213971 or 213966? 213966 Is -308/17 less than or equal to -18? True Which is bigger: 2317.6 or -0.1? 2317.6 Which is bigger: 59.68 or 8/9? 59.68 Which is bigger: -1 or -134804? -1 Is 63/2 at least as big as -0.6093? True Which is greater: -25828/199 or -129? -129 Is 11/41595 at least as big as 1? False Is -289805 smaller than -289804? True Is -1623 >= -1616? False Which is greater: 42 or 78? 78 Is -2707312 greater than -2707312? False Which is smaller: -28158 or 2/7? -28158 Which is bigger: -2/3 or 83/1895? 83/1895 Which is greater: -179099 or -29? -29 Is 1474 >= 72186/49? True Which is bigger: 2921 or 2832? 2921 Is 27936 at most as big as 27937? True Is -1 at most -21/8516? True Which is bigger: 3590/43 or 82? 3590/43 Is 4877 equal to 4890? False Which is smaller: 439804/5 or 87960? 87960 Is 12161 smaller than 11985? False Which is smaller: -2375 or 1.8? -2375 Is 100467 smaller than 100469? True Which is smaller: 194535 or 0.1? 0.1 Is 2846 greater than -3? True Which is smaller: 1 or 12/313615? 12/313615 Is -0.08 greater than 4438/15? False Do -2123766 and -2123766 have different values? False Is -28104 at most as big as -252925/9? True Which is bigger: 1 or 39/5023? 1 Which is bigger: 20461 or 20455? 20461 Which is smaller: -516/19 or -27? -516/19 Which is smaller: 82009 or 82020? 82009 Which is smaller: -1 or -283/1621? -1 Are -7/19877 and 0 equal? False Are -1 and -1/6189090 equal? False Which is smaller: 0 or -1/40938? -1/40938 Which is greater: -1 or 266/629? 266/629 Is -1 > 3/125957? False Is 2 != 954/527? True Which is greater: 91/2728 or -1? 91/2728 Do -1 and -68/15689 have the same value? False Is 53336 at least as big as 53339? False Which is smaller: -1 or 28/34859? -1 Which is bigger: -56/3629 or 0? 0 Is 147 > -276? True Are -2/23 and -7422/25 nonequal? True Which is bigger: -17.692 or 2/29? 2/29 Which is smaller: -242004/13 or -18617? -18617 Is -233.878 equal to 0? False Which is smaller: -0.1 or 7655122? -0.1 Is 873930 bigger than 873931? False Which is smaller: 229542 or 229547? 229542 Does -0.154 = 59? False Is 0 bigger than 55/3726? False Which is bigger: 46481 or 46457? 46481 Is 124434/53 at least as big as 2348? False Which is smaller: -1366676/5 or -273335? -1366676/5 Which is smaller: -60123 or 2/3? -60123 Are 86499 and 86499 equal? True Are 27850 and 222801/8 non-equal? True Which is smaller: -128284 or -128270? -128284 Is -2 != 874/15? True Which is smaller: -2/7 or -2/3021229? -2/7 Are -0.090322 and 2 equal? False Is -49685 <= -49670? True Is 18714 at most 280726/15? True Is -332684 < -332684? False Which is smaller: 19497/7 or 2784? 2784 Which is smaller: 1.9 or -1904? -1904 Which is bigger: 12/743 or 1? 1 Is 51316 equal to 51318? False Which is smaller: 11382 or 2? 2 Which is smaller: -0.1 or 3/20039? -0.1 Which is smaller: -2345 or -800? -2345 Which is greater: -140 or 168? 168 Which is smaller: -0.581 or 767? -0.581 Which is smaller: 89/31 or 3? 89/31 Is 7751/2 smaller than 1/3? False Which is smaller: 46 or -1595? -1595 Is 1299 <= 1278? False Which is smaller: 1 or -9/127897? -9/127897 Is -250357/5 != -50070? True Are -0.14 and 4098 non-equal? True Which is smaller: -1 or 122632? -1 Is 0 < 93/2608? True Which is bigger: 26/11 or -12/35? 26/11 Is 0 at least as big as -1/262570? True Is -1059 smaller than -845? True Is -10 != -7977/701? True Which is greater: -108894 or -108892? -108892 Are 200639 and 200636 equal? False Which is bigger: -763504 or -763505? -763504 Are -649 and -684 equal? False Is -1 greater than or equal to -1/1236388? False Is -237 greater than -284? True Which is smaller: 94862 or 94845? 94845 Is 99830 at most 99824? False Which is smaller: -4 or 715/3? -4 Is 317555 smaller than -4? False Do 20798 and 103989/5 have different values? True Do -45309 and -226547/5 have the same value? False Which is bigger: 152 or -327? 152 Is 17191 less than or equal to 51571/3? False Do -56031 and -56032 have different values? True Which is smaller: -2 or -423545? -423545 Which is smaller: 1/1213826 or -1? -1 Are 38743 and -2 equal? False Is -1073 smaller than 3468? True Is 6348965 >= 6348965? True Which is smaller: 2278406 or 0? 0 Which is smaller: -18401 or 179? -18401 Which is greater: -20/493 or 1? 1 Is -2808 greater than or equal to 83? False Which is bigger: 7777 or 7776? 7777 Is 76 > 12258? False Is 58688 < 58780? True Do -19328 and -19328 have different values? False Is 1663/10 <= 167? True Is 27 less than 4889? True Which is smaller: 417846 or 417844? 417844 Which is smaller: -2955 or -2956? -2956 Is 7912 bigger than 7914? False Is -39 < 1430? True Is 151 >= 0.0477? True Which is smaller: 162830 or 1139801/7? 1139801/7 Which is greater: 4 or -1445? 4 Is 1 less than or equal to -16/106647? False Which is smaller: -29729 or -29720? -29729 Which is smaller: 32/15 or 4903? 32/15 Is -85688 != -85659? True Which is greater: -161 or -20775/128? -161 Is -902 less than -1031? False Are 82/23 and -933 nonequal? True Which is greater: 418 or -112? 418 Is 12131 at most as big as 12134? True Which is smaller: 25502 or 204017/8? 25502 Do 6 and 0.49779 have the same value? False Are -276610 and -276612 unequal? True Which is bigger: 11 or -3299? 11 Which is bigger: 140175 or -0.1? 140175 Is -24 at most -1905/79? False Is 151679 at most 151660? False Is 1 at least -6/6699395? True Which is bigg
{ "pile_set_name": "DM Mathematics" }
ine w, given that -w**5 - 3159463*w**4 - 2495553191823*w**3 - 2495550032361*w**2 = 0. -1579731, -1, 0 What is b in 732270*b**3 - 11052082*b**2/15 + 68024*b/15 + 8/15 = 0? -2/17325, 2/317, 1 Factor -4*j**2 - 16097376*j - 48292092. -4*(j + 3)*(j + 4024341) Factor -t**2/6 - 24467*t/6 + 686644/3. -(t - 56)*(t + 24523)/6 Solve -232*w**3 - 724765*w**2 - 715164*w + 9369 = 0 for w. -3123, -1, 3/232 Determine w, given that -w**2 - 12889*w + 763932 = 0. -12948, 59 Find b, given that b**4/3 + 292*b**3/3 - 249394*b**2/3 + 493172*b/3 + 1243955 = 0. -667, -3, 5, 373 Let -o**5/2 + 12904653*o**4/2 - 20816261857464*o**3 + 20816255405138*o**2 = 0. Calculate o. 0, 1, 6452326 Factor 5*d**2/2 - 5911080*d + 3494086676640. 5*(d - 1182216)**2/2 Determine m so that 156*m**3 - 626504*m**2 + 658468*m - 32120 = 0. 2/39, 1, 4015 Factor 3*x**4/7 - 523398*x**3 + 1118617982031*x**2/7 - 639203994684*x + 4474413307692/7. 3*(x - 610629)**2*(x - 2)**2/7 Let 28*r**5 + 544736*r**4 + 2647493904*r**3 - 18934657672*r**2 + 18559235668*r - 2272616664 = 0. Calculate r. -9731, 1/7, 1, 6 Suppose -6*w**3/11 - 86208*w**2/11 - 12829950*w/11 - 479857500/11 = 0. What is w? -14218, -75 Determine p so that 3*p**2 + 71407614*p + 424920611431083 = 0. -11901269 Factor m**2/7 - 87435*m/7 - 874450/7. (m - 87445)*(m + 10)/7 Factor -3*m**4 + 6594*m**3 - 434520*m**2. -3*m**2*(m - 2130)*(m - 68) Let -v**3 - 124527*v**2 - 3858435840*v + 1141237373300 = 0. Calculate v. -62410, 293 Suppose -2*h**3/3 + 110926*h**2/3 + 4929424*h + 4892448 = 0. What is h? -132, -1, 55596 Determine q, given that 2*q**5/19 + 38058*q**4/19 + 241287652*q**3/19 + 26787089912*q**2 - 241859208912*q + 538030125760 = 0. -6346, 4, 5 Determine s so that 3*s**2 + 15669*s - 12916884 = 0. -5947, 724 Factor 3*x**3 - 582519*x**2 - 9320880*x - 37284288. 3*(x - 194189)*(x + 8)**2 Factor -27*y**3/5 + 2477502*y**2 + 8258385*y + 6882000. -3*(y - 458800)*(3*y + 5)**2/5 Determine y, given that -y**2 - 5924444*y - 8774759177284 = 0. -2962222 Solve r**5/2 + 20585*r**4/2 - 113306*r**3 - 576718*r**2 - 617880*r = 0 for r. -20596, -2, 0, 15 Solve -127*r**3/6 + 1211*r**2/6 - 353*r - 576 = 0 for r. -1, 576/127, 6 Determine r so that 4*r**5/5 + 8352*r**4 - 125352*r**3/5 - 75168*r**2 + 1127844*r/5 = 0. -10443, -3, 0, 3 Find j such that 325*j**4 + 41305*j**3 - 37830*j**2 - 8920*j + 5120 = 0. -128, -2/5, 4/13, 1 What is t in -40*t**5 - 995*t**4 + 85840*t**3 + 528245*t**2 + 395850*t = 0? -58, -5, -7/8, 0, 39 Find w such that 63*w**5 - 169840731*w**4 + 1803541677*w**3 - 5313568689*w**2 + 2790229740*w - 404381100 = 0. 2/7, 1/3, 5, 2695874 Factor k**3 + 11473021*k**2 + 32907558453120*k + 32907546980100. (k + 1)*(k + 5736510)**2 Factor 4*x**3 - 8526424*x**2 + 4543727086340*x + 18175044768400. 4*(x - 1065805)**2*(x + 4) Determine k so that -4*k**4 - 41822*k**3 - 313388*k**2 + 543278*k - 188064 = 0. -10448, -9, 1/2, 1 Solve -6*m**4/7 - 597470*m**3/7 - 14873866278*m**2/7 - 4957490730*m/7 + 9915778084/7 = 0 for m. -49789, -1, 2/3 Let -215*c**4/4 - 102557*c**3/4 + 51254*c**2 + 479*c = 0. What is c? -479, -2/215, 0, 2 Solve -f**3 + 1597865*f**2 - 638289144875*f - 3191485671125 = 0 for f. -5, 798935 Solve -2*w**3/7 - 145720*w**2/7 - 582856*w/7 - 83264 = 0 for w. -72856, -2 Factor -c**2 - 761536*c + 1523076. -(c - 2)*(c + 761538) What is m in 3*m**4 - 1449*m**3 - 895392*m**2 - 3564084*m - 3558240 = 0? -353, -2, 840 Suppose -3*r**4 - 2454*r**3 - 355320*r**2 = 0. Calculate r. -630, -188, 0 Solve 3*m**2/7 - 1611*m/7 + 4806/7 = 0 for m. 3, 534 Factor 5*c**5/3 + 1496150*c**4 + 13465260*c**3 + 40395690*c**2 + 40395645*c. 5*c*(c + 3)**3*(c + 897681)/3 Factor 2*v**2/3 + 60050228*v/3 + 60050222. 2*(v + 3)*(v + 30025111)/3 Find m, given that 5*m**5/4 + 2735*m**4/2 - 2785*m**3 - 49230*m**2 + 98640*m = 0. -1096, -6, 0, 2, 6 What is n in -2*n**2/23 + 17024300*n/23 - 36228348811250/23 = 0? 4256075 Factor 36*d**2 - 106202*d + 5900. 2*(d - 2950)*(18*d - 1) Solve -2*w**3/3 - 537508*w**2/3 - 537506*w/3 = 0. -268753, -1, 0 Find c, given that -110*c**3 + 2075*c**2 + 28005*c + 3780 = 0. -9, -3/22, 28 Factor -3*t**2 + 4335*t + 275598. -3*(t - 1506)*(t + 61) Factor w**2 + 344812*w - 1724085. (w - 5)*(w + 344817) Solve 215*l**2/2 - 131267*l/3 + 7733/6 = 0. 19/645, 407 What is z in 3*z**2 - 183582*z + 6605064 = 0? 36, 61158 Determine s, given that -5*s**2 - 14085435*s - 28170850 = 0. -2817085, -2 Factor -u**2/2 - 27689*u + 720083/2. -(u - 13)*(u + 55391)/2 Let -2*c**4/3 + 3230*c**3/3 - 1167322*c**2/3 - 113086358*c/3 - 37305268 = 0. Calculate c. -78, -1, 847 Determine g so that 2*g**3 + 31880028*g**2 + 127520086*g + 95640060 = 0. -15940010, -3, -1 Solve -2*s**2/9 + 5318*s/9 + 46816 = 0 for s. -77, 2736 Solve 25*y**2/4 - 3923979*y/4 + 156959 = 0 for y. 4/25, 156959 Find n such that 19*n**5/7 + 5850*n**4/7 - 24837*n**3/7 - 22136*n**2 + 427920*n/7 + 1123200/7 = 0. -312, -4, -36/19, 5 Factor r**3 + 144674*r**2 + 5235244729*r + 188281359396. (r + 36)*(r + 72319)**2 Factor 3*b**3/5 - 8331*b**2/5 + 296028*b/5. 3*b*(b - 2741)*(b - 36)/5 Determine z, given that -4*z**4 + 96732*z**3 + 1451772*z**2 + 2614356*z - 23520456 = 0. -9, 3, 24198 Factor -3*m**3/2 + 240159*m**2/2 - 8162805*m/2 + 69376473/2. -3*(m - 80019)*(m - 17)**2/2 Factor s**3/2 + 51837*s**2/2 - 4361281*s/2 + 4309443/2. (s - 83)*(s - 1)*(s + 51921)/2 Let -18*o**4 + 2631*o**3 + 30669*o**2 - 8247*o - 36267 = 0. What is o? -11, -1, 7/6, 157 Find t such that -t**3/3 + 1126126*t**2/3 + 1126129*t = 0. -3, 0, 1126129 Suppose 4*l**2/3 - 16287704*l + 49741744048428 = 0. What is l? 6107889 Factor l**2/2 - 1923*l/2 - 128000. (l - 2048)*(l + 125)/2 Find q such that -q**5 - 13674*q**4 - 44367224*q**3 - 133019638*q**2 - 132992295*q - 44326208 = 0. -8384, -5287, -1 Factor 13*q**2/2 - 186423*q - 200767/2. (q - 28681)*(13*q + 7)/2 What is t in -t**5/4 - 3691*t**4/2 - 47785*t**3 + 213294*t**2 - 220680*t = 0? -7356, -30, 0, 2 Factor -b**3/4 + 134887*b**2 - 72804441725*b/4 + 3564827205625/2. -(b - 269725)**2*(b - 98)/4 Determine v, given that 84*v**5 - 1876232*v**4 + 11433764*v**3 - 17953728*v**2 + 9110672*v - 714560 = 0. 2/21, 1, 4, 22330 Factor 3*w**2 - 435555*w - 4355850. 3*(w - 145195)*(w + 10) Factor 9*x**4 + 72191022*x**3 + 144765053467213*x**2 - 193020167544324*x + 64340066543076. (x + 4010613)**2*(3*x - 2)**2 Solve -3721*m**3/4 - 14814887*m**2/6 - 1637631632*m + 1092852096 = 0 for m. -80976/61, 2/3 Factor 3*z**2 - 9371091*z - 37484412. 3*(z - 3123701)*(z + 4) Solve -2*l**3 + 178874*l**2 + 1431088*l + 2862240 = 0. -4, 89445 Suppose 3*x**3 - 78744*x**2 + 1336611*x + 30690270 = 0. Calculate x. -13, 30, 26231 Suppose -3*i**4/8 + 12177*i**3/4 + 880425*i**2/8 + 425937*i/2 - 32350995/2 = 0. Calculate i. -23, 10, 8154 Let -3*c**3/5 - 281*c**2 + 73739*c/5 - 901131/5 = 0. What is c? -517, 21, 83/3 Solve -t**3/3 + 37597979*t**2 = 0. 0, 112793937 Solve -x**3 + 1979858*x**2 + 3959719*x + 1979860 = 0 for x. -1, 1979860 Factor g**4 + 74624*g**3 + 1341212158*g**2 - 1901911516032*g + 649566422747649. (g - 671)**2*(g + 37983)**2 Factor -4*w**2/7 + 1991012*w/7 - 1991008/7. -4*(w - 497752)*(w - 1)/7 Factor -k**4 - 2963*k**3 + k**2 + 2963*k. -k*(k - 1)*(k + 1)*(k + 2963) Factor -2*a**2/15 + 1139942*a/15 - 75996. -2*(a - 569970)*(a - 1)/15 Determine c, given that 35*c**5 + 534*c**4 + 178*c**3 - 25296*c**2 - 89613*c - 64638 = 0. -9, -114/35, -1, 7 Let 16965*n**5 - 251072*n**4 - 68008*n**3 + 251042*n**2 + 51043*n + 30 = 0. What is n? -1, -1/5, -2/3393, 1, 15 Factor 4*l**2/5 + 8371128*l/5 + 8371124/5. 4*(l + 1)*(l + 2092781)/5 Find x such that -5*x**2 + 166282535*x - 166282530 = 0. 1, 33256506 Let 22*j**3 + 835154*j**2 + 7925744322*j - 3602783610 = 0. Calculate j. -18981, 5/11 Let -3*z**2/2 + 123178809*z - 5057672995552827/2 = 0. What is z? 41059603 What is t in -2*t**3 - 763160*t**2 - 72790199450*t + 2184392881500 = 0? -190805, 30 Suppose 2*q**5/5 + 1214*q**4 + 1038540*q**3 + 171829892*q**2 - 346780262*q + 869553078/5 = 0. Calculate q. -1409, -219, 1 Factor q**2/2 - 1637*q/2 - 13834855. (q - 6142)*(q + 4505)/2 Solve 2*c**3 + 1486*c**2 + 316950*c + 15451722 = 0. -377, -297, -69 Factor -3*s**2 + 19745493*s - 177709194. -3*(s - 6581822)*(s - 9) Suppose k**2 - 570544*k + 81380113984 = 0. What is k? 285272 Find y, given that -3*y**3 + 3912*y**2 - 925347*y + 921438 = 0. 1, 309, 994 Fa
{ "pile_set_name": "DM Mathematics" }
*2*j**5 + 2*h**2*j + 2*h**2 - 215*j**4 + 3*j**2 wrt j? -60*h**2*j**2 - 5160*j What is the second derivative of 2*a**3*p + 4*a**3*y**2 - 3*a*j**2*y**2 + 13*a*j*p**2*y + 2*a*p**2 + 2*j**2*p*y + j*p**2*y**2 wrt y? 8*a**3 - 6*a*j**2 + 2*j*p**2 What is the second derivative of 5*b**3*o**5 - 817*b**3*o**2 + 6926*b**3*o - b**3 + 2*b**2*o wrt o? 100*b**3*o**3 - 1634*b**3 Differentiate -2*q*z**2 + 8*q*z - 143*q + 5*z**3 + 3 with respect to z. -4*q*z + 8*q + 15*z**2 Find the third derivative of -194*b*j*s**3 + 2*b*s**4 + 15*b*s**2 + 3*b - j*s**4 + 4*j*s**2 wrt s. -1164*b*j + 48*b*s - 24*j*s Differentiate -356*b**3 - 2*b**2*z**2 - 1588*z**2 + 2*z with respect to b. -1068*b**2 - 4*b*z**2 Find the third derivative of 112*r**5 - 20*r**2 - r wrt r. 6720*r**2 Find the first derivative of 42*b**3*v**2 - 285*b**3 + 4*b*v**2 + 2*b + 2*v**4 wrt v. 84*b**3*v + 8*b*v + 8*v**3 Find the first derivative of -2*s**4*t + 11*s**4 + 6*s**2*t - 64*t - 23 wrt s. -8*s**3*t + 44*s**3 + 12*s*t Find the second derivative of 72*o**3*s**3 + 2*o**3 - 2*o**2 - 45*o*s**3 - 3*s**3 wrt o. 432*o*s**3 + 12*o - 4 Find the second derivative of 116*j**5 - 702*j wrt j. 2320*j**3 What is the third derivative of 233*a**3 - 66*a**2 + a wrt a? 1398 What is the third derivative of 39*u**4 + 6*u**2 + 13? 936*u What is the derivative of 59*t**3 + 10 wrt t? 177*t**2 What is the derivative of 97*v**4 + 139 wrt v? 388*v**3 Differentiate 2*b**3 - 151*b**2 + 77. 6*b**2 - 302*b Differentiate 470*o**3 + 2014 with respect to o. 1410*o**2 Find the second derivative of -d**5 + 2443*d**2*y**2 + 5*d*y**2 - 2*d - 11 wrt d. -20*d**3 + 4886*y**2 Differentiate -10*y - 103 wrt y. -10 Find the second derivative of -794*z**3 + 233*z. -4764*z What is the second derivative of -g*l*v**2 + g*l - 2*g*v**2 - 5*g*v - 4*g + 4*l*v**2 wrt v? -2*g*l - 4*g + 8*l Find the first derivative of 5*k**3*o + 208*k*o + o - 1994 wrt k. 15*k**2*o + 208*o What is the third derivative of -2*a**6*k - 8*a**4 + 26*a**3*k**3 + 3*a**2*k**2 - 10*a*k - 5*k**3 wrt a? -240*a**3*k - 192*a + 156*k**3 Differentiate -2714*d - 10835. -2714 What is the third derivative of -63*h**5 + 7*h**3*r - 224*h**2 + h*r wrt h? -3780*h**2 + 42*r What is the first derivative of 2*g*i + 119*g*z + 8*g - 692*i*z wrt i? 2*g - 692*z Differentiate -63*d**3*o**2 + 117*d**3*x - 7*d*o**2*x + 1 wrt x. 117*d**3 - 7*d*o**2 Find the first derivative of -177*k**4 + k**2 + 3184 wrt k. -708*k**3 + 2*k What is the first derivative of 946*l**2 - 822? 1892*l What is the third derivative of -940*l**3 - 2*l**2 - 39*l + 2 wrt l? -5640 Differentiate -131*n**2*t*z**2 + n*t - 21*t*z - 6*z**2 with respect to n. -262*n*t*z**2 + t What is the third derivative of 64*a*r**4 + 29*a*r + 6*a - r**5 - 2*r**3 - 2*r**2 wrt r? 1536*a*r - 60*r**2 - 12 Find the third derivative of 6*n**4 + 66*n**2. 144*n What is the second derivative of 273*g**5*m + g**5 + 7*g**2 - 1143*g*m + 2*g - 2*m wrt g? 5460*g**3*m + 20*g**3 + 14 What is the second derivative of f**3*g**2 + 289*f**3*g - 564*f**2*g**2 - 2*f*g wrt g? 2*f**3 - 1128*f**2 What is the derivative of -54*f**3*i**2 - 8*f**3 - 6*f**2 + 2*f*i**2 - 11*f*i + 5 wrt i? -108*f**3*i + 4*f*i - 11*f Find the third derivative of -57*m*n**3*u**2 - 2*m*n*u**2 - 20*n**3*u**2 + 2*n**2*u**2 - 2*n**2 - 51*n wrt n. -342*m*u**2 - 120*u**2 Find the first derivative of -1871*u**2 - 81. -3742*u What is the second derivative of -5638*b**5 + 3716*b wrt b? -112760*b**3 What is the first derivative of 696*b**2*f**2 + 511*f**2 wrt b? 1392*b*f**2 Differentiate 9*m**3*t - 3*m**2*t + 69*m**2 + 7*t + 1484 with respect to m. 27*m**2*t - 6*m*t + 138*m Differentiate -1571*w**4*z**3 + z**3 - 1328 with respect to w. -6284*w**3*z**3 What is the second derivative of -118*c**5 - 4*c**3 + 9128*c wrt c? -2360*c**3 - 24*c Find the third derivative of -1707*p**3 + 1408*p**2 wrt p. -10242 Find the first derivative of -3*n*t**3 + 2*n*w**3 - 17*t**3*w**3 - t**3*w**2 wrt n. -3*t**3 + 2*w**3 What is the derivative of 367*s**2 + 2*s*x - 122*x wrt s? 734*s + 2*x Differentiate -2*g**2*j + 1215*g*j + g + 9668*j with respect to g. -4*g*j + 1215*j + 1 Differentiate 2236*s**3 - s + 1323 wrt s. 6708*s**2 - 1 What is the third derivative of -907*z**3 - 9*z**2 + 5 wrt z? -5442 What is the second derivative of -388*l**4 + 279*l wrt l? -4656*l**2 Find the first derivative of 2418*g*r**2 - 190*r**2 - 2*r + 1 wrt g. 2418*r**2 What is the first derivative of -3*q**2 + 13*q - 336? -6*q + 13 Find the second derivative of 20*d**3*j**3 + 2*d**3*j + d**3 - 2*d*j + 8*j**3 - 13 wrt d. 120*d*j**3 + 12*d*j + 6*d What is the second derivative of -13206*k**5 + k + 2993? -264120*k**3 What is the second derivative of -58*v**5 - 2*v**3 - 26*v**2 + 228*v? -1160*v**3 - 12*v - 52 Find the third derivative of -6602*g**3 + 3*g**2 - 64*g + 6. -39612 What is the second derivative of 94*a**5*x - 2*a**3*j*x + 3*a*j - 9*j*x + 8*x wrt a? 1880*a**3*x - 12*a*j*x What is the derivative of 52*o*v + 8*o - 3186*v wrt o? 52*v + 8 What is the second derivative of 3*o**2*u**4 + 15*o**2*u**2 - o**2*u + 18 wrt u? 36*o**2*u**2 + 30*o**2 Find the first derivative of -4*q**4 + 80*q - 546 wrt q. -16*q**3 + 80 Differentiate 10409*v**2*z**2 - 40*z**2 - 190*z with respect to v. 20818*v*z**2 What is the second derivative of 16*j**5 - 5*j**3 - 6750*j? 320*j**3 - 30*j Find the second derivative of -358*i**5 - i**4 - i**3*x + 4*i*x - i + 4*x wrt i. -7160*i**3 - 12*i**2 - 6*i*x What is the third derivative of -57*d**4 + 32*d**2? -1368*d Find the second derivative of 3*a**3*q**4 - 106*a**3*q**2 - a**3 + 52*a*q - 2*q wrt q. 36*a**3*q**2 - 212*a**3 What is the third derivative of -2001*u**6 + 7*u**2 + 125 wrt u? -240120*u**3 What is the second derivative of 1184*w**2 - 6*w + 399 wrt w? 2368 What is the third derivative of 14364*c*t**4 + 572*c*t + 2*t**6 - 15*t**2 + 2 wrt t? 344736*c*t + 240*t**3 Find the first derivative of k*n**2*w**3 + 31*k*n**2*w**2 - 3*k*w**3 - 2*k*w**2 + 330*k + 3*n**2 wrt n. 2*k*n*w**3 + 62*k*n*w**2 + 6*n What is the first derivative of k**2*t + 152*k**2 + 15*k*t**2 wrt t? k**2 + 30*k*t What is the third derivative of 32*h**2*p**4 - h**2*p**3 - 8*h**2*p + h*p**2 - 2*p**2 wrt p? 768*h**2*p - 6*h**2 Find the first derivative of 15*f**3*z**2 + 518*f**3 - 28*z**2 wrt z. 30*f**3*z - 56*z Find the first derivative of g**2 - 68*g + 90 wrt g. 2*g - 68 What is the derivative of 8*n**4 + 69*n - 471? 32*n**3 + 69 Find the second derivative of 513*h**4 + 3*h**2 - 1193*h. 6156*h**2 + 6 What is the second derivative of 16*a*w**3 + 30*a*w**2 + 5*a*w - 2*a + 2*w**3 - 3*w**2 + 62*w - 5 wrt w? 96*a*w + 60*a + 12*w - 6 Find the third derivative of 25007*i**4*l + 1772*i**2*l + 2*i**2 - 3*i*l wrt i. 600168*i*l Find the first derivative of -6354*o + 3990 wrt o. -6354 Find the second derivative of -4*m**5*y**2 + 2*m**5 + 17*m**2*y - 2*m*y - y**2 + 14*y wrt m. -80*m**3*y**2 + 40*m**3 + 34*y What is the third derivative of -1577*t**4 + 171*t**2 + 4*t wrt t? -37848*t Differentiate -165*g + 392. -165 What is the third derivative of 2*h*u**5 - 17*h*u**3 + 2*h*u**2 + 13*h*u - 2*u**5 - 7*u**2 wrt u? 120*h*u**2 - 102*h - 120*u**2 Differentiate -233*q**2 - q + 1203 with respect to q. -466*q - 1 Differentiate -o**4*y - 15*o**2*y**3 + y**3 + 5*y**2 wrt o. -4*o**3*y - 30*o*y**3 Find the first derivative of 1550*w**2 + 1798 wrt w. 3100*w What is the derivative of 5*b**4 - 34 wrt b? 20*b**3 What is the derivative of -2*s**2 + 6*s - 474 wrt s? -4*s + 6 What is the first derivative of 4487*h + 5480? 4487 What is the derivative of 1748*l**4 - 2*l**3 + 1402 wrt l? 6992*l**3 - 6*l**2 What is the third derivative of 16*d**5*n - 6*d**5 - d**4 - 2*d**2*n - d**2 - d*n - 122*n wrt d? 960*d**2*n - 360*d**2 - 24*d What is the first derivative of 542*a**2 + a - 28837 wrt a? 1084*a + 1 Find the second derivative of -153*n**2 - 41*n - 2 wrt n. -306 Differentiate 3*k**3 + 527*k**2 + 566. 9*k**2 + 1054*k Find the first derivative of 400*l + 470. 400 Find the third derivative of -54*i*k**2*u**3 - 3*i*k**2 + 2*i*k*u**3 - i*u**3 + 5*k**2*u**2 - k**2 wrt u. -324*i*k**2 + 12*i*k - 6*i Find the first derivative of 2*h**4 - 40*h*j - 4*j - 11 wrt h. 8*h**3 - 40*j Find the third derivative of 5142*h**3 + 32*h**2 - 6 wrt h. 30852 Differentiate -u**4 + 58*u**2 - 2 with respect to u. -4*u**3 + 116*u What is
{ "pile_set_name": "DM Mathematics" }
or of -65/38 and -29/2. 38 Find the common denominator of 37/99 and -35/9693. 106623 Calculate the common denominator of -16/167 and 22/5. 835 Calculate the least common multiple of 48 and 1836. 7344 Calculate the smallest common multiple of 9 and 25. 225 What is the common denominator of -37/900 and 25/168? 12600 Calculate the smallest common multiple of 56 and 1274. 5096 Calculate the smallest common multiple of 26 and 11. 286 What is the least common multiple of 462 and 22? 462 Calculate the common denominator of 145/192 and -22/81. 5184 What is the common denominator of -34/11 and -19/7? 77 What is the lowest common multiple of 20 and 40? 40 What is the lowest common multiple of 693 and 7623? 7623 Calculate the lowest common multiple of 6 and 4. 12 Calculate the common denominator of 51/10151 and 34/5. 50755 Calculate the lowest common multiple of 1671 and 3. 1671 Calculate the least common multiple of 180 and 210. 1260 Find the common denominator of 37/36 and -25/27. 108 Find the common denominator of -79/98 and -26/77. 1078 Find the common denominator of 107/2400 and -47/600. 2400 What is the smallest common multiple of 42 and 14588? 43764 Find the common denominator of 79/640 and 87/1520. 12160 What is the smallest common multiple of 1908 and 72? 3816 Calculate the common denominator of 95/5232 and 127/2616. 5232 Find the common denominator of 1/13 and -12/73. 949 What is the lowest common multiple of 610 and 732? 3660 Calculate the lowest common multiple of 12 and 96. 96 Calculate the least common multiple of 9 and 26604. 26604 Calculate the common denominator of 77/2 and 13/8982. 8982 What is the lowest common multiple of 36 and 42? 252 Calculate the common denominator of -88/435 and -1/145. 435 What is the least common multiple of 1020 and 2? 1020 What is the common denominator of -103/230 and -131/6? 690 What is the lowest common multiple of 264 and 220? 1320 What is the least common multiple of 36 and 36? 36 What is the smallest common multiple of 2516 and 3145? 12580 Find the common denominator of 133/180 and 119/180. 180 Find the common denominator of -8/3925 and 49/5. 3925 Calculate the lowest common multiple of 21 and 312. 2184 What is the common denominator of 43/11 and -29/365? 4015 Calculate the common denominator of 89/14 and -79/42. 42 Find the common denominator of -47/40 and 95/16. 80 Calculate the lowest common multiple of 261 and 9. 261 What is the common denominator of 7/6 and 131/306? 306 Calculate the common denominator of 7/3835 and -24/9971. 49855 What is the common denominator of -75/8 and -169/90? 360 Calculate the lowest common multiple of 1260 and 4620. 13860 Find the common denominator of 119/4030 and -51/1300. 40300 Calculate the least common multiple of 70 and 80. 560 Calculate the smallest common multiple of 756 and 2646. 5292 Calculate the common denominator of -29/221 and 5/13. 221 What is the least common multiple of 50 and 35? 350 What is the least common multiple of 108 and 108? 108 What is the least common multiple of 1344 and 1456? 17472 Find the common denominator of -65/218 and 37/3. 654 What is the lowest common multiple of 24 and 14? 168 Find the common denominator of -97/88 and -67/56. 616 What is the smallest common multiple of 120 and 116? 3480 Calculate the lowest common multiple of 2523 and 30. 25230 Calculate the common denominator of -137/24 and -94/4905. 39240 Find the common denominator of 21/20 and 111/220. 220 Calculate the smallest common multiple of 9 and 3054. 9162 Calculate the lowest common multiple of 6 and 12. 12 What is the least common multiple of 96 and 32? 96 What is the lowest common multiple of 258 and 88? 11352 Calculate the lowest common multiple of 112 and 3528. 7056 Find the common denominator of 131/12 and 89/4810. 28860 Calculate the least common multiple of 363 and 165. 1815 Calculate the lowest common multiple of 6 and 4. 12 What is the lowest common multiple of 6 and 12? 12 What is the common denominator of 79/8 and -79/44? 88 Calculate the lowest common multiple of 40 and 2. 40 What is the smallest common multiple of 168 and 118? 9912 Find the common denominator of 59/30 and 1/78. 390 What is the least common multiple of 618 and 15? 3090 What is the common denominator of 16/525 and 12/35? 525 Find the common denominator of 71/2975 and 191/2550. 17850 Find the common denominator of -11/434 and 19/16. 3472 What is the least common multiple of 42 and 210? 210 Find the common denominator of -47/70 and -20/7. 70 Calculate the least common multiple of 8 and 620. 1240 What is the common denominator of 26/9 and 39/25? 225 Calculate the smallest common multiple of 92 and 72. 1656 Calculate the lowest common multiple of 3090 and 50. 15450 What is the smallest common multiple of 1086 and 2? 1086 Calculate the lowest common multiple of 213 and 7668. 7668 Calculate the smallest common multiple of 620 and 22. 6820 What is the common denominator of -14/25 and -50/1211? 30275 Calculate the lowest common multiple of 4 and 104. 104 What is the common denominator of 101/1960 and 53/40? 1960 What is the common denominator of 67/186 and 21/527? 3162 Calculate the smallest common multiple of 198 and 10. 990 What is the lowest common multiple of 3942 and 219? 3942 What is the common denominator of 31/3757 and -2/1105? 18785 What is the common denominator of 44/4075 and -94/7335? 36675 Calculate the least common multiple of 57 and 12. 228 What is the least common multiple of 538 and 4842? 4842 Calculate the lowest common multiple of 21 and 210. 210 What is the smallest common multiple of 96 and 1620? 12960 What is the common denominator of 58/1323 and -151/216? 10584 What is the common denominator of 1/228 and -115/18? 684 Calculate the least common multiple of 50 and 1338. 33450 Calculate the lowest common multiple of 3325 and 798. 19950 Find the common denominator of 77/538 and -56/15. 8070 Calculate the common denominator of 9/136 and 43/24. 408 Find the common denominator of -16/2773 and -29/141. 8319 What is the smallest common multiple of 46 and 230? 230 Calculate the common denominator of 149/876 and -49/146. 876 What is the common denominator of 17/4 and 79/4? 4 Calculate the common denominator of 99/1352 and -50/169. 1352 What is the least common multiple of 4 and 32? 32 Find the common denominator of -115/102 and 65/306. 306 Calculate the lowest common multiple of 579 and 39. 7527 Calculate the lowest common multiple of 74 and 14. 518 Calculate the lowest common multiple of 20 and 10746. 107460 Calculate the common denominator of 17/3663 and 25/72. 29304 Find the common denominator of -71/8 and 81/2. 8 Calculate the common denominator of -79/178 and -79/22. 1958 Calculate the lowest common multiple of 40 and 10. 40 What is the lowest common multiple of 18538 and 4433? 203918 Find the common denominator of 59/1426 and -68/2139. 4278 Calculate the smallest common multiple of 1500 and 4. 1500 Calculate the common denominator of -29/915 and -31/183. 915 What is the lowest common multiple of 78 and 117? 234 Calculate the common denominator of -49/120 and -109/140. 840 What is the common denominator of -2/273 and -35/27? 2457 What is the lowest common multiple of 32 and 4? 32 Calculate the lowest common multiple of 312 and 128. 4992 Calculate the smallest common multiple of 487 and 10. 4870 What is the common denominator of -67/54 and -43/2? 54 What is the common denominator of 29/241 and 89/10? 2410 What is the smallest common multiple of 126 and 684? 4788 What is the common denominator of 45/8 and -89/4352? 4352 What is the lowest common multiple of 60 and 18? 180 What is the common denominator of 67/126 and -101/14? 126 What is the least common multiple of 12 and 72? 72 Find the common denominator of -99/130 and 71/3510. 3510 Calculate the least common multiple of 18 and 36. 36 What is the smallest common multiple of 4680 and 18? 4680 Find the common denominator of -19/12 and 87/616. 1848 What is the lowest common multiple of 2295 and 54? 4590 Calculate the smallest common multiple of 49 and 70. 490 Calculate the common denominator of -7/13 and 93/4. 52 What is the least common multiple of 10 and 18? 90 What is the lowest common multiple of 525 and 35? 525 What is the lowes
{ "pile_set_name": "DM Mathematics" }
3 Let v = -536 - -536.0000263. Round v to six dps. 0.000026 Suppose 10 = -2*y, 2*t - 4*y + 1 = 31. Suppose t*z = 34 - 9. Suppose -4*l - 5980 = -4*w, -6*l = z*w - 2*l - 7520. What is w rounded to the nearest one thousand? 2000 Let h = -0.047 + 0.046919. What is h rounded to 5 dps? -0.00008 Let n = -8 + 11. Let a = 7 - n. Suppose -a*y - 14200000 = -6*y. Round y to the nearest one million. 7000000 Let g = -11 - -4. Let s(t) be the second derivative of 2*t**3/3 - 2*t**2 + 5*t. Let y be s(g). What is y rounded to the nearest 10? -30 Let u = 45.2 + -5.2. Let b = 14 - u. Let s = b + 26.00053. What is s rounded to four dps? 0.0005 Let f = 221187.699996 - 221187. Let z = f - 0.7. What is z rounded to six dps? -0.000004 Let w(g) = 2*g - 9. Let t be w(6). Suppose -2*f = -t*f - 300000. Round f to the nearest 1000000. 0 Let h = 28.699853 + -28.7. Round h to five dps. -0.00015 Let u = -83598 + 187598. What is u rounded to the nearest ten thousand? 100000 Let u = 1332369.7 + -1332369.37000085. Let a = u + -0.33. What is a rounded to 7 decimal places? -0.0000009 Suppose -4*h + 26 = 6. Suppose 3*z = -3*w + 23112, -9968 - 13112 = -3*z + h*w. What is z rounded to the nearest one thousand? 8000 Let h = 24.7219342 + 372.9300733. Let j = 398.452 - h. Let t = 0.8 - j. What is t rounded to six dps? 0.000008 Let n = 40540.4 - 40535.399994. Let t = 6.2 + -11.2. Let w = n + t. Round w to 5 dps. 0.00001 Let u = 199 - 199.1932. Let g = -0.2 - u. Round g to three decimal places. -0.007 Suppose -4381544 - 2418456 = -2*o. Round o to the nearest one million. 3000000 Let u = -34231 + 74231. Suppose -8*x - u = -10*x. Round x to the nearest 10000. 20000 Let x = -0.2 - 2.2. What is x rounded to 0 decimal places? -2 Suppose -3*t + 49 = 5*l, 0 = 4*l + 5*t - t - 44. Suppose -s - 3*s = -l. Suppose -2*d = 5*m - 6199980, -m - 2 = s. What is d rounded to the nearest one million? 3000000 Let s = 30262 + -30262.0199998. Let t = -3.5 - -3.48. Let q = s - t. Round q to seven dps. 0.0000002 Let x = 0.2 + -0.3. Let p = 389.8996 + -390. Let g = x - p. Round g to 3 decimal places. 0 Let h = -49 + 48.914. Round h to two dps. -0.09 Let c = -170.0606297 + 180.16063011. Let z = -10.1 + c. What is z rounded to seven dps? 0.0000004 Let w = -43193 - -89646. Let z = -46453.700024 + w. Let i = z - -0.7. What is i rounded to 5 decimal places? -0.00002 Let h = -0.035 + -0.103. Round h to two dps. -0.14 Let v = -174384 + -75616. Round v to the nearest one hundred thousand. -300000 Let i = -2887 - -7687. What is i rounded to the nearest one thousand? 5000 Let o(l) = -907*l**3 - 7*l**2 + 11*l + 26. Let s be o(14). Round s to the nearest 100000. -2500000 Let p(w) = -2641*w**2 - 4*w + 5. Let i = -6 - -32. Suppose i = -4*h + 6. Let c be p(h). Round c to the nearest 10000. -70000 Let j = 0.33 - 0.364. What is j rounded to 2 dps? -0.03 Let g(i) = -i + 1. Let u be g(-4). Suppose s + 2*s + 7518 = y, -u*s + 3*y = 12530. Let j be -2352*(-1 - s/6). Round j to the nearest one hundred thousand. -1000000 Let k = 6 + 0. Let q(x) = 201*x - 6. Let a be q(k). Round a to the nearest one thousand. 1000 Let m = 2.09000044 - 2.09. Round m to seven dps. 0.0000004 Let j = -117 + 117.099. What is j rounded to two dps? 0.1 Let u be 158/(-237) - 1/3*-142800047. Let o = -21702024 - -33602030. Suppose -4*r - 4*y = y - u, -r - 2*y + o = 0. Round r to the nearest one million. 12000000 Let p = -189 - -111. Let a = p - -81.7. Round a to the nearest integer. 4 Let i(v) = -39750*v**2 - v - 4. Let x be i(-4). What is x rounded to the nearest 100000? -600000 Let f = 5921 - 179. Let l = f + -15742. Round l to the nearest one hundred thousand. 0 Let n = 7.6 + -9.44. What is n rounded to one decimal place? -1.8 Let w = 3.955 + -4. Let t = w - -0.01. Round t to two decimal places. -0.04 Let j = -99.862 - 0.138. Let u = -99.9949 - j. What is u rounded to three decimal places? 0.005 Let m = 0.159 + -14.759. Let t = m - 48.4. Let n = t - -63.00066. What is n rounded to 4 decimal places? 0.0007 Let w = -9.4999898 - -9.5. What is w rounded to six dps? 0.00001 Let m = -42546 - -15546. What is m rounded to the nearest 1000? -27000 Let k = 28 + -39. Let s be 2/k + (-426792)/44. Round s to the nearest 1000. -10000 Let k = 27 - 18. Let l = -8.9965 + k. What is l rounded to 3 dps? 0.004 Let v be 2/12 - (-23)/6. Let a be (-3 - 5/(-2))*v. Let r be a/((9/6900000)/3). What is r rounded to the nearest one million? -5000000 Let a = 0.30001 + -0.3. Let x = 46 + -46. Let t = x - a. Round t to 4 dps. 0 Suppose -3*k + 4000 = -k. Round k to the nearest 1000. 2000 Let z = 817800222 - 572545572. Let u = 245254605.0000029 - z. Let i = 45 + u. What is i rounded to 6 decimal places? 0.000003 Let j be 320/((-419996)/105000 + 4). What is j rounded to the nearest one million? 8000000 Let t = 35 + -30.7. Round t to the nearest integer. 4 Let w = 0.024 - 4.924. Let a = 0.9 + w. Let l = a + 4.2. What is l rounded to the nearest integer? 0 Let d = 40 - 44.1. Let n = d + 4. Let y = 0.10021 + n. What is y rounded to four decimal places? 0.0002 Let j(d) be the first derivative of 9*d + 399/2*d**2 - 2. Let z be j(9). What is z rounded to the nearest 1000? 4000 Let x = 2825.6 + -2824.95257. Let n = 1.147374 - x. Let d = n - 0.5. Round d to five decimal places. -0.00006 Let l = 1521794 - 2253794. Round l to the nearest 100000. -700000 Let w(i) = i + 8. Let x be w(-6). Let p be 6999998/(4*x/4). Let z be -1 + 2 + p/1. What is z rounded to the nearest one million? 4000000 Let q(x) = 8*x**2 - 2*x - 2. Let n be q(-8). What is n rounded to the nearest one hundred? 500 Let a = -17.0084 - -17. What is a rounded to three dps? -0.008 Let b = 0.21 + -0.02. Let a = 0.11 + b. Round a to 1 decimal place. 0.3 Let f = 0.034 + 1.556. Let l = -0.63 - -0.8. Let k = f + l. Round k to 1 dp. 1.8 Let t = 9655092.5 + -9655094.40000022. Let u = t + 1.9. Round u to 7 dps. -0.0000002 Let t = 132.4 + -115. Let k = 10 - t. Round k to 0 decimal places. -7 Let d be 6/(-15) - (-174)/10. Let h = d - 11. Suppose -5*w = b + 480015, 3*w - h*w + 479991 = -b. Round b to the nearest one hundred thousand. -500000 Let g(z) = -z**3 + 7*z**2 + 7*z - 9. Let h be g(9). Round h to the nearest 10. -110 Let t be (184/3)/((-4)/(-130434)). Suppose t = 4*i + 3*v, -5*i + 2*v + 198361 = -2301647. Round i to the nearest 100000. 500000 Let v(i) = -i**3 - 13*i**2 - i - 18. Let o be v(-13). Let a(z) = -1879*z**2 + 5*z. Let d be a(o). Round d to the nearest 10000. -50000 Suppose 0*o = 4*o. Let f = 2 + o. Suppose 7400 = -3*j - f*j. Round j to the nearest one hundred. -1500 Let n = -2.7 - 25.3. Let w = n - -30.2. Let y = -1.1 + w. What is y rounded to the nearest integer? 1 Let a(d) = 3099*d + 1. Let q(t) = t**3 - 6*t**2 - 7*t + 1. Let w be q(7). Let i be a(w). What is i rounded to the nearest 1000? 3000 Let t = 356426 + -638424. Suppose -2*k - j = 3*k - 969995, -2*k = 3*j - 388011. Let r = k + t. Round r to the nearest ten thousand. -90000 Let z(j) = -j**2 - j + 2. Let w be z(-2). Suppose -2*s + 3*s - 5000 = w. What is s rounded to the nearest ten thousand? 10000 Let x(z) = 2*z**2 - 126453*z**3 + 51452*z**3 - z - 5*z**2 + z**2. Let n be x(-1). Round n to the nearest ten thousand. 80000 Let d(o) = -o + 10. Let r be d(14). Let p be -900*16000*r/12. Round p to the nearest 1000000. 5000000 Let d = -6989297 + 6989303.4110435. Let w = d - 13.411043. Let n = w - -7. What is n rounded to 7 dps? 0.0000005 Let c = -19 - -7. Let u = -12.0035 - c. Round u to 3 dps. -0.004 Let k = 107 + -116.2. Let z = k - 5. Round z to zero dps. -14 Let m = 116357 + -116419.061. Let d = m + 62. What is d rounded to 2 dps? -0.06 Let m = -19.58 - -20. What is m rounded to 1 dp? 0.4 Let o be -5 - (-1 + (-3 - -3)). Let u be (-1)/o*506*-2. What is u rounded to the nearest ten? -250 Suppose 12*y + 142000 = 14*y. What is y rounded to the nearest 10000? 70000 Let n = -152.138057741 + -0.095008259. Let o = n - -2.224366. Let f = o + 150. What is f rounded to 3 dps? -0.009 Suppose -8*w = -9*w - 60000. Round w to the nearest 10000. -60000 Let h = -212498807.7647868 - -2172580744.7647927. Let j = 1960082052 - h. Let t = -115 + j. Round t to 6 decimal places. -0.000006 Let d be 4/((-12)/(-185697)) + 1/1. What is d rounded to the nearest one thousand? 62000 Suppose -5*n = -7*y + 2*
{ "pile_set_name": "DM Mathematics" }
- 127 = 0. Let s = 43 + d. Calculate the remainder when 69 is divided by s. 15 Let f(v) be the second derivative of -27*v**5/20 - v**4/12 + v**3/6 + v**2/2 + 6*v. Calculate the remainder when 129 is divided by f(-1). 25 Let c(x) = -92*x - 155. Calculate the remainder when c(-4) is divided by 71. 0 Suppose -q - 145 = -2*u, -2*u + 6*u - 287 = -q. Calculate the remainder when 2156 is divided by u. 68 Let h be (5 + -4)*-79 + 0. Let m = h - -138. Calculate the remainder when 176 is divided by m. 58 Let w(m) = -m**3 + m**2 - 4*m + 2. Let o be w(3). Suppose 2*k = 13 + 3. What is the remainder when ((-6)/(-8))/((-1)/o) is divided by k? 5 Let x(z) = -10*z + 9. What is the remainder when x(-10) is divided by 16? 13 Suppose 4*d = 3*a - 35, 4*a + 5*d + 3 + 2 = 0. Let x = a - 2. Let n(q) = 2*q**2 + 4*q - 1. Calculate the remainder when n(-3) is divided by x. 2 Let q(j) = 2*j**2 + 14*j - 13. Calculate the remainder when 319 is divided by q(-8). 1 Let d be (4/((-4)/(-5)))/1. Suppose -9 - 21 = -d*n. Calculate the remainder when 21 is divided by n. 3 Suppose c + i - 5 - 2 = 0, -2*i - 41 = -3*c. Calculate the remainder when 394 is divided by c. 9 Let f = -37 - -37. Suppose f = 5*i - 3*z + 4, -3*i + 5*z = 2*z + 6. What is the remainder when i is divided by 1? 0 Suppose -3*u - i - 1 = 0, -2*u + 3*i = -5*u + 3. Let x(n) = 8*n**2 + 8*n**2 + 2 - 2*n**2 + 2*n - 4*n**2. Calculate the remainder when 27 is divided by x(u). 7 Let f(c) = -c**3 - 6*c**2 + 4*c + 44. Calculate the remainder when f(-9) is divided by 15. 11 Suppose 0 = -2*y - 0 + 2. Let u(d) = 13*d**3 - d + 1. Let h be u(y). Suppose -1 = t - h. What is the remainder when 46 is divided by t? 10 Let k(n) = n**3 - 7*n**2 - 9*n + 9. Let b be k(8). Let c = b - -5. Calculate the remainder when c is divided by 5. 1 Suppose 4*f + 4*w = 88, 2*w = 4*f - 2 - 62. Let b(q) = q**2 + 7*q - 7. What is the remainder when b(-12) is divided by f? 17 Suppose -419*k + 395*k + 672 = 0. What is the remainder when 1/((-2)/(-222)*1) is divided by k? 27 Let c(u) = 3*u + 10. Let i = -20 - -15. Let v be c(i). What is the remainder when 120 is divided by -3 + 47 - (8 + v)? 38 Suppose 3*s + 53 = -2*n + 210, 4*s - 214 = -5*n. Calculate the remainder when s is divided by 28. 23 Let n(a) = a**2 + a - 3. Let o be n(-3). Suppose 0 = o*z - 4*z + 10. Calculate the remainder when 47 is divided by z. 7 Let d(m) = m + 16. Let h be d(-11). Suppose -4*l + 7 = -h, -2*l = -5*j - 196. What is the remainder when (4/1)/((-4)/j) is divided by 13? 12 Suppose 2*c + 14 = -j, -2*j - 5*c = -5*j - 20. Calculate the remainder when 81 is divided by 4/j - 284/(-10). 25 Let c = 2057 + -1460. Calculate the remainder when c is divided by 24. 21 Suppose -6*q + 4*q = f - 8, 0 = 3*q + 5*f - 12. Calculate the remainder when 258 is divided by q. 2 Suppose 3*h + 0*h + 607 = 4*s, 0 = 3*h + 3. What is the remainder when s is divided by 48? 7 Let o(s) = 7*s**3 - 2*s**2 - 5*s + 7. Calculate the remainder when 89 is divided by o(2). 44 Suppose 8*k - 3*k = 0. Let i = k + 2. Suppose -5*h = -i*h - 72. What is the remainder when h is divided by 13? 11 Suppose -55*y + 65*y - 440 = 0. Calculate the remainder when 82 is divided by y. 38 Suppose 8*h = -5*h + 3*h. Suppose 5 = 5*j - h. Calculate the remainder when 6 is divided by j. 0 Let b be 2/(-4) - (0 + 93/(-6)). Let i = 89 - b. What is the remainder when i is divided by 19? 17 Let h(p) = -15*p - 38. Calculate the remainder when h(-8) is divided by 30. 22 Let u be (2*(-1 + -1))/(-2). Suppose -13*q - 2*q + 30 = 0. Suppose -4*c = -u*s - 0*s - 34, -38 = -4*c - q*s. Calculate the remainder when 16 is divided by c. 7 Let l(i) = 6*i**2 - 63*i - 24. What is the remainder when 333 is divided by l(12)? 81 Suppose 16*v - 27 = 7*v. Suppose -51 = -v*o - 12. Calculate the remainder when 34 is divided by o. 8 Let q = -157 + 161. Suppose -n = -4*n + 12. Suppose 2*b - n*p = -8, -q*b = -5*p + 7 - 3. What is the remainder when 5 is divided by b? 1 Let u be (3/2)/(5/(-20)). Let v be (u/(-2) - 1) + 3. Suppose 1 - v = -y. What is the remainder when 12 is divided by y? 0 Let n be (17/(-68))/(1/(-20)). Suppose -x - 4 = -3*a, -8 = -n*a + 2*x - 2. Suppose -4*k - 4 = -28. Calculate the remainder when k is divided by a. 0 Let t = 81 + -77. Suppose j = r - 2*j - 1, t*j = -3*r + 68. Calculate the remainder when 55 is divided by r. 7 Suppose -1769 = 443*h - 444*h. What is the remainder when h is divided by 15? 14 Let c(r) = r**3 - 14*r**2 - r + 17. Let s be c(14). Calculate the remainder when -4 + 9 + s + 0 is divided by 2. 0 Let i(c) = -c**3 - 48*c**2 - 8*c + 34. Calculate the remainder when i(-48) is divided by 105. 103 Let r = 31 - 31. Suppose 2*k - k + 492 = r. Calculate the remainder when 3/(4/k*-9) is divided by 15. 11 Let a(p) = 10*p - 6. Let q be a(-7). Let f = -26 - q. Calculate the remainder when 148 is divided by f. 48 Calculate the remainder when ((-280)/84)/(((-16)/30)/4) is divided by 3. 1 Suppose -4*r = 3*w - w - 432, -216 = -2*r - 3*w. What is the remainder when r is divided by (-5 - 2)/(-7) + 18? 13 Suppose o - 4 = 0, -8*r + 20 = -4*r + 3*o. Suppose 0 = -r*l - f + 211, -2*f + 311 + 217 = 5*l. What is the remainder when l is divided by 12? 10 Suppose -76*l - 32 = -84*l. What is the remainder when 27 is divided by l? 3 Let n = -35 - -38. Let v be (-1)/4 + (-42)/(-8). Suppose -3*a - 55 = -n*q + 8, q - 9 = -v*a. What is the remainder when q is divided by 11? 8 Let f = -64 + 60. Calculate the remainder when 36 is divided by f - 0 - (-1 + -25). 14 Suppose 38*s + 108 = 42*s. What is the remainder when s is divided by 16? 11 Suppose 4*v - 6 = 110. Suppose 2*q = -5*z + 36, -65*q - 2*z + 40 = -61*q. What is the remainder when v is divided by q? 5 Calculate the remainder when 79 is divided by 43 - ((-9)/6 - 7/(-2)). 38 Suppose -z + 2*z = -2. Let q = 5 + z. Suppose -q*c + x + 26 = -x, 3*c + x - 23 = 0. Calculate the remainder when 29 is divided by c. 5 Let u(s) = -s**3 + 15*s**2 - 13*s - 2. Calculate the remainder when u(14) is divided by 8. 4 Suppose 5*i - 698 = -j, 5*i - j = j + 704. Let g = 147 - i. Calculate the remainder when 31 is divided by g. 3 Let t(a) = 49*a**2 + a. Let x be ((-2 + 10)/4)/(-2). Let y be t(x). Suppose 0 = -j + 4*j - y. Calculate the remainder when 62 is divided by j. 14 Let z(g) = -60*g + 25 + 119*g - 60*g. Let y(i) = i**3 + 8*i**2 + 9*i + 7. Calculate the remainder when y(-6) is divided by z(11). 11 Let c = -487 + 491. What is the remainder when 151 is divided by c? 3 Let q(h) = h**3 + 8*h**2 + 13*h + 7. Calculate the remainder when 29 is divided by q(-4). 10 Let c(u) be the second derivative of 19/6*u**3 - 17/12*u**4 - 1/20*u**5 + 8*u + 0 + 10*u**2. What is the remainder when 3 is divided by c(-18)? 1 Suppose -3*t + 6*w - 7 = 2*w, 3*w = -3*t + 21. Suppose -4*c + k = -10, 0*k = 5*c + t*k - 21. Calculate the remainder when 13/(1/(-1 + c)) is divided by 9. 8 Suppose l + 0*s - 13 = -s, 3*l - 3*s - 69 = 0. Let y = l + 21. Calculate the remainder when y is divided by 14. 11 Let r = -11 - -28. Suppose -6*i = -i + 45. Let z = 15 + i. What is the remainder when r is divided by z? 5 Calculate the remainder when 7659/18 - (-45)/(-10) is divided by 84. 1 Let v(o) = -2*o**3 - 6*o**2 + 11*o + 28. What is the remainder when v(-6) is divided by 36? 34 Suppose 435 = 17*c - 1350. Let r(z) = 18*z**3 + 2*z**2 - 3*z + 1. Calculate the remainder when c is divided by r(1). 15 Suppose -9*j + 11*j + 2 = 0. Let l(g) = -g**2 - 2*g + 1. Let y be l(4). What is the remainder when 43 is divided by j/2*(1 + y)? 10 Let l(q) = -q**3 - 38*q**2 - 38*q + 9. What is the remainder when 321 is divided by l(-37)? 45 Suppose 15*w - 1952 = -407. What is the remainder when w is divided by 27? 22 Let j(a) = 5*a**2 - 34*a - 69. What is the remainder when j(10) is divided by 12? 7 Suppose 5*o = 4*w - 8*w + 147, -2*o + 5*w = -39. Let y(q) be the first derivative of q**2/2 + 16*q - 16. What is the remainder when o is divided by y(-9)? 6 Suppose -l = 3*l - 1276. Suppose -2*v - 27 + l = 0. What is the remainder when 34 is divided by 8/(-32) - v/(-8)? 16 Suppose 3*i + 3*n = i - 4, 0 = 3*i + 4*n + 6. What is the remainder when 23 is divided by -3 + (-3 - i)*-17? 9 Let q(f) = f**3 - 3*f**2 - 9*f + 9. Let c be q(5). Calculate the remainder when 32 is divided by (-7)/c - ((-210)/(-
{ "pile_set_name": "DM Mathematics" }
hird root of 289829 to the nearest integer? 66 What is 17974826 to the power of 1/9, to the nearest integer? 6 What is 22191013 to the power of 1/2, to the nearest integer? 4711 What is the seventh root of 551674 to the nearest integer? 7 What is the fifth root of 109486 to the nearest integer? 10 What is 12631722 to the power of 1/2, to the nearest integer? 3554 What is 3224872 to the power of 1/10, to the nearest integer? 4 What is the square root of 642284 to the nearest integer? 801 What is the tenth root of 1412205 to the nearest integer? 4 What is 264230 to the power of 1/7, to the nearest integer? 6 What is the cube root of 383532 to the nearest integer? 73 What is the square root of 17153309 to the nearest integer? 4142 What is the cube root of 1489005 to the nearest integer? 114 What is the fourth root of 1812285 to the nearest integer? 37 What is the sixth root of 235334 to the nearest integer? 8 What is 410629 to the power of 1/10, to the nearest integer? 4 What is 10677212 to the power of 1/3, to the nearest integer? 220 What is 7838473 to the power of 1/3, to the nearest integer? 199 What is 10682537 to the power of 1/8, to the nearest integer? 8 What is 5030305 to the power of 1/10, to the nearest integer? 5 What is the tenth root of 942875 to the nearest integer? 4 What is 304777 to the power of 1/4, to the nearest integer? 23 What is the square root of 6398847 to the nearest integer? 2530 What is the seventh root of 104076 to the nearest integer? 5 What is 7333893 to the power of 1/3, to the nearest integer? 194 What is the cube root of 1463231 to the nearest integer? 114 What is 69645 to the power of 1/2, to the nearest integer? 264 What is the square root of 405457 to the nearest integer? 637 What is 14357081 to the power of 1/3, to the nearest integer? 243 What is 5114187 to the power of 1/6, to the nearest integer? 13 What is the cube root of 1660 to the nearest integer? 12 What is 2958245 to the power of 1/2, to the nearest integer? 1720 What is the seventh root of 489827 to the nearest integer? 6 What is 554568 to the power of 1/2, to the nearest integer? 745 What is 71173 to the power of 1/3, to the nearest integer? 41 What is 53775 to the power of 1/2, to the nearest integer? 232 What is 302533 to the power of 1/8, to the nearest integer? 5 What is the eighth root of 8008238 to the nearest integer? 7 What is the cube root of 3515438 to the nearest integer? 152 What is the square root of 3686353 to the nearest integer? 1920 What is the cube root of 12200022 to the nearest integer? 230 What is 13184851 to the power of 1/7, to the nearest integer? 10 What is the square root of 18933078 to the nearest integer? 4351 What is the square root of 8345864 to the nearest integer? 2889 What is the ninth root of 3488812 to the nearest integer? 5 What is the third root of 1926818 to the nearest integer? 124 What is the third root of 1321432 to the nearest integer? 110 What is the cube root of 1188760 to the nearest integer? 106 What is 94334 to the power of 1/2, to the nearest integer? 307 What is 2913708 to the power of 1/4, to the nearest integer? 41 What is 20140744 to the power of 1/6, to the nearest integer? 16 What is 730764 to the power of 1/10, to the nearest integer? 4 What is the third root of 656822 to the nearest integer? 87 What is the square root of 143041 to the nearest integer? 378 What is the cube root of 242356 to the nearest integer? 62 What is 253939 to the power of 1/9, to the nearest integer? 4 What is the eighth root of 3009721 to the nearest integer? 6 What is 6741893 to the power of 1/10, to the nearest integer? 5 What is 495025 to the power of 1/2, to the nearest integer? 704 What is the tenth root of 1233302 to the nearest integer? 4 What is the cube root of 696358 to the nearest integer? 89 What is 1517463 to the power of 1/8, to the nearest integer? 6 What is 330130 to the power of 1/3, to the nearest integer? 69 What is 654518 to the power of 1/8, to the nearest integer? 5 What is 1350951 to the power of 1/9, to the nearest integer? 5 What is 924671 to the power of 1/2, to the nearest integer? 962 What is 149129 to the power of 1/3, to the nearest integer? 53 What is the third root of 1032612 to the nearest integer? 101 What is 202903 to the power of 1/5, to the nearest integer? 12 What is the third root of 18556396 to the nearest integer? 265 What is 14634943 to the power of 1/3, to the nearest integer? 245 What is the ninth root of 454727 to the nearest integer? 4 What is the cube root of 7228056 to the nearest integer? 193 What is the seventh root of 22623198 to the nearest integer? 11 What is the fourth root of 43012671 to the nearest integer? 81 What is 3538636 to the power of 1/3, to the nearest integer? 152 What is 250837 to the power of 1/2, to the nearest integer? 501 What is 10195424 to the power of 1/3, to the nearest integer? 217 What is 1281 to the power of 1/2, to the nearest integer? 36 What is the tenth root of 14378619 to the nearest integer? 5 What is the cube root of 2107830 to the nearest integer? 128 What is 1353521 to the power of 1/2, to the nearest integer? 1163 What is the third root of 1396434 to the nearest integer? 112 What is 9013077 to the power of 1/3, to the nearest integer? 208 What is the fourth root of 359725 to the nearest integer? 24 What is 34635 to the power of 1/6, to the nearest integer? 6 What is 728802 to the power of 1/5, to the nearest integer? 15 What is 28607815 to the power of 1/3, to the nearest integer? 306 What is the sixth root of 6831048 to the nearest integer? 14 What is the cube root of 1247897 to the nearest integer? 108 What is 186752 to the power of 1/3, to the nearest integer? 57 What is the fifth root of 165530 to the nearest integer? 11 What is the sixth root of 1829375 to the nearest integer? 11 What is 1081871 to the power of 1/3, to the nearest integer? 103 What is 3863778 to the power of 1/3, to the nearest integer? 157 What is the ninth root of 1269117 to the nearest integer? 5 What is the sixth root of 13523904 to the nearest integer? 15 What is 344316 to the power of 1/2, to the nearest integer? 587 What is 178791 to the power of 1/9, to the nearest integer? 4 What is the third root of 1363914 to the nearest integer? 111 What is the third root of 607255 to the nearest integer? 85 What is the third root of 145614 to the nearest integer? 53 What is 5377382 to the power of 1/3, to the nearest integer? 175 What is the seventh root of 72310 to the nearest integer? 5 What is the square root of 2100291 to the nearest integer? 1449 What is the square root of 80989 to the nearest integer? 285 What is the cube root of 11042942 to the nearest integer? 223 What is the sixth root of 6708 to the nearest integer? 4 What is 88555 to the power of 1/2, to the nearest integer? 298 What is the third root of 876293 to the nearest integer? 96 What is 29214047 to the power of 1/3, to the nearest integer? 308 What is the sixth root of 127770 to the nearest integer? 7 What is the seventh root of 31756 to the nearest integer? 4 What is 3004797 to the power of 1/3, to the nearest integer? 144 What is 521 to the power of 1/3, to the nearest integer? 8 What is the square root of 646931 to the nearest integer? 804 What is 5943885 to the power of 1/9, to the nearest integer? 6 What is 1044771 to the power of 1/8, to the nearest integer? 6 What is 798640 to the power of 1/2, to the nearest integer? 894 What is the eighth root of 266706 to the nearest integer? 5 What is 62517 to the power of 1/8, to the nearest integer? 4 What is 324743 to the power of 1/3, to the nearest integer? 69 What is 281328 to the power of 1/3, to the nearest integer? 66 What is the fifth root of 374092 to the nearest integer? 13 What is the square root of 472131 to the nearest integer? 687 What is 7379611 to the power of 1/2, to the nearest integer? 2717 What is the cube root of 5506303 to the nearest integer? 177 What is the square root of 63177 to the nearest integer? 251 What is the cube root of 10530888 to the nearest integer? 219 What is the cube root of 929723 to the nearest integer? 98 What is the sixth root of 245984 to the nearest integer? 8 What is the cube root of 7781376 to the
{ "pile_set_name": "DM Mathematics" }
= -o, 4*d - 4*u + 32 = 0. Let k be (d/(-10))/(1/6). Solve -2*q = 5*p + 24, -k*q - 5 = 5*p + 21 for p. -4 Let c(f) = -3*f + 36. Let r be c(11). Solve -3*d = 4*o - 14, -d - r*o = -4*o + 7 for d. -2 Let t = 13 - 9. Let z be (-4)/(-10) - 16/(-10). Let b(x) = x**3 - 22*x**2 - 25*x + 51. Let c be b(23). Solve -c*m = t*y - 22, 6*y - 19 = y - z*m for y. 3 Let r = -77 + 79. Solve 4*l - 6 = -2*d, -3*l = -r*d + 6 - 14 for l. 2 Let n = -67 + 73. Suppose 3*k - 25 = 2*s, 4*s + 34 + 1 = 3*k. Solve 5*w = -4*t - n, 2 + k = -t - 4*w for t. 1 Suppose -23*u = -21*u - 672. Let g be ((u/(-9))/(-7))/((-1)/(-3)). Solve -4*s - w - 29 = -4*w, 2*s = 2*w - g for s. -5 Let o = 15 + -21. Let n(c) = -c**2 - 7*c + 4. Let u be n(o). Suppose 2*g + 4 = u. Solve -21 = -g*z - 3*b, -4*b + b = -3*z - 3 for z. 3 Let x be 50/18*1 + (-12)/(-54). Solve x*z - 6*z - 2*v = 2, 4*z - 2 = -5*v for z. -2 Let f = -146 + 150. Let r be (20/(-30))/(f/(-78)). Solve -4*l = -2*w - 14, 3*l - l + 3*w + r = 0 for l. 1 Suppose -u - 9 = -3*p + 2*u, -7 = -3*p + 5*u. Suppose -4 = -2*r + 8. Suppose 3*o = -3*h - r, h = -p*h + 3*o + 22. Solve 10*f + h*t = 5*f + 5, 0 = 5*t for f. 1 Let n(x) = 2*x - 2. Let a = -143 - -147. Let y be n(a). Solve -p - 20 = -4*j, p = 2*j + y*p + 12 for j. 4 Let t be (0 - -1)/((70/(-259))/(-10)). Suppose 0*f - 9 = -3*f. Suppose -8 + f = -l. Solve 2*g = u - 3*g - 10, l*u + t = -4*g for u. -5 Let p(v) = 2*v**3 - 4*v**2 - 2. Let a(q) = -q**3 - q + 1. Let z(g) = -3*a(g) - p(g). Let m be z(-4). Let n = m + 18. Solve 2*r + n = 3*y, 3*y - 6 - 1 = r for y. 3 Let k(c) be the first derivative of c**3/3 + c**2 - 23*c - 28. Let t be k(-6). Solve h + 3*n = -t, 3*h + 2*h = -3*n - 17 for h. -4 Let n be 70/22 - 6/33. Suppose -12 = -0*r - n*r. Let b(u) = 2*u - 5. Let z be b(r). Solve 3 = -3*a, -z*y - 2*a + 1 = -4*y for y. -3 Let f(d) = d**3 - d**2 + 3. Let l be f(2). Suppose 115 = 2*q - l*q. Let a = 25 + q. Solve -3*k + 15 = z, -3*k - a*k + 5 = -5*z for z. 3 Suppose 4 + 56 = 4*t. Let k = t + -10. Solve d - 4*d + 4 = k*z, -4 = -2*d - 4*z for d. -2 Let z(r) = 12*r**2 - 9*r - 10. Let d be z(-1). Solve 0 = 5*y - 2*c - 6 - d, -y + 1 = -c for y. 5 Let r = 25 - 0. Suppose 6 = t - 4*k - 17, r = -5*k. Solve -t*y + 6 = 3*b, 0 = b + 3 - 6 for y. -1 Let n be ((-3)/5)/(10/(-50)). Let b be n/(((-27)/(-6))/3). Let s = b - -2. Solve 4*w + s = -5*x + 2*x, w + 8 = x for x. 4 Let m = 188 + -112. Suppose -m*h = -71*h - 25. Solve -4*i - 6 + 2 = 3*r, h*i + 36 = 4*r for r. 4 Let a = -1165 + 1181. Solve 2*h = -5*y + 29, h + 18 = 20*y - a*y for h. 2 Let k be 18*-8*(-1)/6. Let z be (20/6)/(k/36). Solve -17 = 5*l - m, z*l + 3*m + 0*m = -29 for l. -4 Let i be (-1 - (-192)/33) + 82/451. Solve 0 = -j + 2*u, -5 = j - 6*j + i*u for j. 2 Suppose 2*o = -3*d + 7, -2*d + 1 + 6 = -o. Let b be (-3 - o)/(3/(-6)). Let x = 7 - b. Solve -2*w = -0*w + 4, -4*g + x*w = -14 for g. 2 Let v be -8*((-52)/(-16) + -4). Suppose -v*x - x = -x. Solve -h - m - 3 = x, 9 = -h - 3*h - 3*m for h. 0 Suppose -2 = t - 3, t = 3*r + 1. Solve r = -5*k - n + 14, 3*k = -5*n - 0 + 4 for k. 3 Let a(z) = -z**3 - 18*z**2 - 15*z + 39. Let r be ((-2)/3 + 0)/((-4)/(-102)). Let q be a(r). Solve -5*d = -w - 13, 1 = -3*w - q*d + 2 for w. -3 Let v = -12 + 0. Let b be (4/7)/(2 + v/7). Solve 26 - 6 = -5*f - s, b*f + 8 = s for f. -4 Suppose s + 2*s = 0. Suppose s*k = 3*k. Solve 0 = -3*n + 3*w - 24, -n + k*w = -5*w + 20 for n. -5 Let c be 7/(-14)*(0 - 0). Suppose -i - i + 2*r = -10, c = -i + 4*r + 8. Solve 5*j - 4*g = 4 + 5, j + i*g + 3 = 0 for j. 1 Suppose -3*q + 5*q - 32 = 0. Let z = q + -6. Solve 0 = -5*i - z, -3*b - i + 3*i + 4 = 0 for b. 0 Let y(a) = 4*a**3 - 29*a**2 - 22*a - 3. Let o be y(8). Solve -o = g - 0*l + 5*l, 5*l - 2 = 4*g for g. -3 Suppose -5*l + 3*g + 42 = 0, 3*g - 38 = -4*l + g. Solve -4*s + 2*h = -1 - l, 0 = -s - 4*h + 25 for s. 5 Let x be ((-4)/(-6))/(8/60). Suppose -5*l - 64 = -3*o, -4*l - 3*o + o - 38 = 0. Let z = 15 + l. Solve -12 = -x*r - 3*d, 4*r - z*d + 0*d + 16 = 0 for r. 0 Let v(x) = -4*x - 7. Let a be v(-5). Suppose 2 = 14*l - a*l. Let d = 6 - 4. Solve -l*y - y - 3*f = 9, 0 = 2*f + d for y. -2 Suppose -2*x - 4*j = -52, 0 = 4*x - j + 3*j - 92. Let g = -20 + x. Solve -4*n + 15 = p, -5*n = g*p + p - 24 for p. 3 Let c be 13/(91/(-14))*206/(-4). Let x = c - 101. Solve -3*n = -x*f - 22 + 1, 5*n - 34 = 3*f for f. -3 Let s be (-2)/(-16) + 30/16. Solve 0 = -5*p - 3*k - 30, -s*p - 2*k - 4 = -4*p for p. -3 Let l = 368 - 366. Solve 6 = -3*k + l*y - 3, 2*k + 3*y = 7 for k. -1 Suppose -2*s - 6*s = 48. Let a be (s/(-4) - -1)*(-6)/(-5). Solve -2*p - 3*z - a = -6*p, 0 = -4*p - 2*z + 18 for p. 3 Suppose 2077*o - 2090*o = -65. Solve 0 = 5*p + o*b - 5, -2*b + 2 = 0 for p. 0 Suppose -540 = 4*q - 9*q. Let s = -100 + q. Solve -p + 4*c = -0 - 5, -4*p = -2*c + s for p. -3 Suppose 15*n - 2*o - 15 = 10*n, 2*n + 5*o - 6 = 0. Solve 3 = 3*g - n*j, 4*j - 14 = -3*g + 10 for g. 4 Let w be 126/35 + (1 - (-9)/(-15)). Suppose -w*c + 12 = -0. Solve 5*v - 3*j = 31, -v + c*j + 26 = 3*v for v. 5 Let q be (81/216)/(1/8). Solve 3*x + 6*n - q = 3*n, 4*x - 3*n - 11 = 0 for x. 2 Suppose -5*h + 3*t + 85 = 0, -4*h - 5*t + 78 = 10. Let g = h + -13. Suppose -o + 29 = g*z + 2*o, 4*z = 5*o + 5. Solve 2*y = -z*f - 31, 3*y = f - 6 + 2 for f. -5 Let o be 49 + -6 - 0/((-4)/2). Suppose -5*g = 4*x - 22, 0 = 5*g - 5*x + 3 - o. Solve -g = 2*l - 2*s, 5*l = 2*s - 4*s - 1 for l. -1 Let h(s) = -s - 32. Let r be h(-8). Suppose 0 = -m - 0*m - 9. Let t be 15/10*r/m. Solve t*j = 2*x - 6, j + j = 4*x - 6 for x. 1 Suppose -14*u - n = -15*u + 17, 4*u + 4*n = 52. Solve -2*y + 3*j + u = -0*y, -3*y - 3*j = 0 for y. 3 Let i(v) = v**2 + 5*v + 9. Let k be i(-2). Let g = 1 - -2. Let s(u) = -u**2 - 8*u + 4. Let n be s(-8). Solve -g*t + 2*c - k = c, -n*c = -12 for t. 0 Let r = -2 - -6. Let i be 33/r + 4/(-16). Let n = i + -3. Solve -4*b + 5*m - n = 0, -7*b + 4*m = -2*b + 13 for b. -5 Suppose -210 = -8*x + 438. Let p = -74 + x. Let r(b) = -2*b - 5. Let z be r(-4). Solve 3*u - 2*i + 1 = -z, 3*u + i = -p for u. -2 Let q be ((-33)/3 + 12)*0. Solve -4*m = 2*t - 20, q*m + 5 = m for t. 0 Let d(y) = -y**3 - 3*y**2 + 4*y. Let x be d(-4). Suppose x = -4*q - 8 + 28. Suppose -3 = b - 6. Solve -2*n - 3 = -3*w + b, -w + q*n = 11 for w. 4 Suppose -2*s - 22 = -5*b, 3*b - 2*b + s = 3. Let z = b + 1. Let d(k) = 29*k - 12. Let v be d(1). Solve -5*y - 3*a + v = a, -a = z*y - 8 for y. 1 Let k be 7/((-7)/2) + 14. Suppose 4*v + 0*v = k. Solve -2 + 0 = n - 2*r, v*n + 6 = 5*r for n. -2 Let p = -913 + 918. Solve 8 = p*g + i - 12, -4*i = -g + 25 for g. 5 Let g(b) = b**2 - 8*b - 9. Let s be g(12). Let l = s + -19. Solve -5*i = 5*z - 30, 0 = i + i + 4*z - l for i. 2 Suppose -116 - 28 = -24*m. Solve -5*x - m = -6*x - q, 0 = 3*x - q - 10 for x. 4 Let f = 12 - 6. Suppose -5*m = -2*w - 3*m + f, -5*w - 3*m + 23 = 0. Suppose 4*h - 8 - w = 0. Solve 2*c - 18 = 4*n, -h*c - 2*c + 3*n = -17 for c. 1 Let b(j) = -j**2 + 6*j + 9. Let o be b(7). Let i(c) = o*c**2 + 6 + 3 - 3*c**2 + 2*c**2 - 9*c. Let f be i(9). Solve -h + f = -4*h - 5*d, -d + 9 = -3*h for h. -3 Suppose 30 = 6*z, -m + 1 + 17 = 3*z. Solve 0 = -j + 3*o - 12, m*o - 8 = 3*j - 2 for j. 3 Let t(c) = c**2 - 3*c - 25. Let o be t(-4). Suppose 9 + 12 = 5*g - b, 4*g + o*b = 32. Solve n = g*j + 9, -10 = 4*j + j for n. -1 Suppose 2*q + 3*n + 45 - 54 = 0, -4*q + 9 = -3*n. Solve q*l - 8*l + 15 = t, 0 = -5*l + 4*t + 40 for l. 4 Suppose 3*o - 9 = -2*m, 16 = 3*o + m + 4. Solve 4*l - 15 = 3*w + 12, o*l = -3*w for w. -5 Let q(m) = -m**3 - m. Let g(k) = 4*k**3 - 21*k**2 + 7*k + 44. Let c(d) = g(d) + 5*q(d). Let u be c(-21). Solve -5*p - 6 = u*h - 3*p, -2*h + p = 6 for h. -3 Let y(t) = t + 38. Let a(k) = -k**2 + 3*k - 3. Let s be a(6). Let m be y(s). Solve -4*d + 3*f - m = 0, -f - 2 = -1 for d. -5 Let u(t) = -t**3 - 5*t**2 - 4*t + 2. Let r be u(-4). Let a be (2*-22)/(r/(-1)). Suppose 2*i = 5*i + b - 2, i - 5*b = a. Solve l = 1, -3*j + 3*l - 7 = i*l for j. -2 Let i(h) = -20*h**2 + 14*h**2 + 3*h + 6 - h + 7*h**2. Let p be i(4). Solve 2*d = -8, -6*b - 5*d - p = -b for b. -2 Let u(h) = -h + 14. Let m be (-10)/(-3) + (-13)/39. Let q = 6 + m. Let o be u(q). Solve 2*a + 5 = 5*t, 0*a - o*a = -t + 1 for t. 1 Let t be (2 - 4/(-6))*3. Suppose 5*v - t = 7. Let i be 1 + 1/3*v. Solve 0 = -i*b + 3*b - 3*s + 8, -2*b - 8 = -2*s for b. -2 Su
{ "pile_set_name": "DM Mathematics" }
*(17/3)/(w*w/w**11) assuming w is positive. w**(44/3) Simplify p**(-4)/(p*p/(p*p**(-2)/p*p*p)*p) assuming p is positive. p**(-7) Simplify (p**(2/3))**(5/2)*p**(1/5)*p**1 assuming p is positive. p**(43/15) Simplify (u**(2/3)/u*u*u**(-1/5))**(2/37) assuming u is positive. u**(14/555) Simplify ((((a/a**(6/5))/a)/a)/a)/a**(11/4) assuming a is positive. a**(-119/20) Simplify (y*(y/(y**(-22)*y))/y)**(18/13) assuming y is positive. y**(396/13) Simplify r/r**23*r**(1/4) assuming r is positive. r**(-87/4) Simplify q**(2/29)*q*q*(q*((q/(q*q**(-2/7)))/q*q)/q*q)/q*q*q*(q**(-1/6)*q)/q**(-1/3) assuming q is positive. q**(6725/1218) Simplify (y**(-3/16)*y)**32 assuming y is positive. y**26 Simplify p*p*p*(p/(p*p**17/p))/p*p*p**(-10) assuming p is positive. p**(-23) Simplify ((g*g/(g**(-1/4)*g))/g**(-2/9))/(g/g**(2/29)*g/(g/(g/(g/(g/((g*g**5)/g))*g)))) assuming g is positive. g**(5785/1044) Simplify d**(-19)*d*d*d/d**(-2/21) assuming d is positive. d**(-334/21) Simplify (l**(-6/5)*l)/l**7*l**(1/2)*l**(-2) assuming l is positive. l**(-87/10) Simplify (k**(2/23))**(-3/14) assuming k is positive. k**(-3/161) Simplify (h/((h*h*h**(1/6)*h)/h))**0 assuming h is positive. 1 Simplify m**(3/5)/m*m*m*(m*m**(8/7)/m)/m assuming m is positive. m**(61/35) Simplify (z/((z*z/(z**(-1)/z))/z))**(-4/35)*z**8*z*z/z**(-6) assuming z is positive. z**(568/35) Simplify (l/l**(-1/12)*l/l**(5/2))**(-6/19) assuming l is positive. l**(5/38) Simplify (o*o**(-18))/o*o**(-13)*o*o assuming o is positive. o**(-29) Simplify (n/n**(-2/49))/n**(-19) assuming n is positive. n**(982/49) Simplify (i*i**4)/(i/(i*i*i**(2/61)*i*i*i*i)) assuming i is positive. i**(612/61) Simplify (f/(f/(f*f**2*f))*f**4*f)**(1/2) assuming f is positive. f**(9/2) Simplify ((m**(1/2)*m)/((m/(m**(-1/8)/m*m))/m))**(-4) assuming m is positive. m**(-11/2) Simplify (y**(-3/17)/y)/(y/(y*y*y/y**10*y*y*y)) assuming y is positive. y**(-105/17) Simplify (v*v*(v/(v**(-16)/v))/v*v**(-3/8)/v*v)**30 assuming v is positive. v**(2235/4) Simplify (f**(-16))**(3/31) assuming f is positive. f**(-48/31) Simplify i**(-2)/i*i**(2/7) assuming i is positive. i**(-19/7) Simplify ((s/s**6)/s**(-3/2))/(((s/s**(-1/2))/s)/s)**(-39) assuming s is positive. s**(-23) Simplify p/(p*(((p*p**(-5))/p)/p)/p)*p*p**(-3)*p/(p*p**(3/7)/p*p)*p*(p/p**(-2/33))/p assuming p is positive. p**(1301/231) Simplify (r*r*r/r**0)**(-2/11)/(r**(-1)/(r*r/r**5*r*r*r*r)) assuming r is positive. r**(16/11) Simplify (p**8/p)/(p*p**(-1/2)) assuming p is positive. p**(13/2) Simplify ((r**(-2/3)*r)/r)/(r**(-2/23)*r) assuming r is positive. r**(-109/69) Simplify (d**(-2/5)*d/d**(-2/21))**(-23) assuming d is positive. d**(-1679/105) Simplify ((h/(h*(((h/(h*(h*h**1)/h*h)*h)/h)/h*h)/h))/h**0)/(((h/(h/((h**(2/37)/h)/h)))/h)/(h*h**(4/7)*h)) assuming h is positive. h**(2206/259) Simplify (u**(-3)/(u/u**(1/4)))**(-2/79) assuming u is positive. u**(15/158) Simplify w/(w/(w/(w**(2/17)/w)*w))*w**(-6/11)/w assuming w is positive. w**(250/187) Simplify (s**(2/5))**(-2/11) assuming s is positive. s**(-4/55) Simplify j**(11/5)*j**(-39) assuming j is positive. j**(-184/5) Simplify ((k**(2/5))**36)**(-36/5) assuming k is positive. k**(-2592/25) Simplify (s*s**2/s*s)/(s*(s*s**5)/s) assuming s is positive. s**(-3) Simplify (m*m**(-6)/m*m*m*m**0)**(6/5) assuming m is positive. m**(-24/5) Simplify u**(-1/2)/(u**5*u)*u**(-1)/(u/(u/u**(-4/9))) assuming u is positive. u**(-127/18) Simplify (s**(-24)*s)/(s**(-11)/s) assuming s is positive. s**(-11) Simplify ((h**0*h)/(h**(3/7)*h))**0 assuming h is positive. 1 Simplify (a**(-5/6)/a)**(-3/2) assuming a is positive. a**(11/4) Simplify ((s*s/s**5)/s)/((s*s**2)/s*s) assuming s is positive. s**(-7) Simplify ((s*s*s*s/(s*s**(-2/7)*s))/s**4)/(s*(s**(-1/2)*s)/s)**(-5/2) assuming s is positive. s**(-13/28) Simplify (x*x**(2/5)*x)**(1/31)/(x*x**(4/3)*((x*x/(x/x**2)*x)/x*x)/x) assuming x is positive. x**(-2444/465) Simplify x**18/(x**(1/27)*x) assuming x is positive. x**(458/27) Simplify ((f*f**(-2/7)/f*f*f*f)**(-42))**(-3/13) assuming f is positive. f**(342/13) Simplify (n**(2/39)/n)/(n**0*n) assuming n is positive. n**(-76/39) Simplify (m/m**(4/15)*m*m**(-7/4)*m)**(4/7) assuming m is positive. m**(59/105) Simplify (x*x/(x*x/(x/x**(1/4))))**(-10/7)*((x/((x*x/(x*x**(-1)))/x))/x)**48 assuming x is positive. x**(-687/14) Simplify h/((h**13*h)/h)*h/h**(-25)*h assuming h is positive. h**15 Simplify (f**(3/2)*f*f/f**(-3))/(f**(-1)*f)**(-41) assuming f is positive. f**(13/2) Simplify d**(1/7)/(d**(-47)/d) assuming d is positive. d**(337/7) Simplify (c**(-1/4))**(-4/13)*c/(c*c*c*c/(c*c*(c/(c/(((c*c**(1/7))/c)/c)))/c))*c**(-2/3) assuming c is positive. c**(-941/273) Simplify (h*h/h**14*h/(h**(-5)/h))**(-2/79) assuming h is positive. h**(10/79) Simplify (v**(-1/2)/v)**8*(v*v**(2/3))**(-1/4) assuming v is positive. v**(-149/12) Simplify (f**(5/2)/(f/f**(-10)*f*f))/(f/f**(-1/2)*f)**(-3) assuming f is positive. f**(-3) Simplify (o**(-1/19)/o)**(-1/4) assuming o is positive. o**(5/19) Simplify ((g/(g**(5/2)/g))/g*g*g*g/(g*g*g**(1/3)*g*g))/(g*g*g**(-1)/g*g)**37 assuming g is positive. g**(-239/6) Simplify (a/((a*a**(-2/7)/a)/a))**(-2/25)*a**(-5/6)/(a**(-2/7)*a*a) assuming a is positive. a**(-2867/1050) Simplify ((((t*t/t**(-3))/t)/t)/t)/t**(-7)*(t*t**8)/(t*(t*t**6)/t*t) assuming t is positive. t**10 Simplify ((((f*f**(-2/17))/f)/f)/f)/(f**(-19)*f) assuming f is positive. f**(270/17) Simplify (c/(c*(c/((c*c**0)/c))/c*c)*c/c**7)/((c/(c*c*(c/c**(-2/7))/c))/(c/(c**(2/5)*c))) assuming c is positive. c**(-214/35) Simplify (q**(-6)/q**(4/7))/(q*q/((q**1*q)/q))**(-43) assuming q is positive. q**(255/7) Simplify ((i**(-3/2)*i)/i**(2/9))**(1/22) assuming i is positive. i**(-13/396) Simplify (q/(q*q/(q*q**(-2/9)*q)*q)*q)**28 assuming q is positive. q**(196/9) Simplify (((u*u*u**(2/7))/u)/u)**(-42)*(u/(u**(-1/3)*u))**(12/7) assuming u is positive. u**(-80/7) Simplify q*q*q**(-6/13)*q*q**(-1/8)*q assuming q is positive. q**(355/104) Simplify (w**(-2/15)*w*w*w**(-1/10))/(w**(-6)*w*w**(-2)) assuming w is positive. w**(263/30) Simplify (a*a*a/a**5*a*a/(a**(6/11)*a))**23 assuming a is positive. a**(-391/11) Simplify s*s**(-6)*s*s**9/s assuming s is positive. s**4 Simplify (o*o**(3/4)*o/((o*o*o**0*o*o)/o*o))**(-3/34) assuming o is positive. o**(15/136) Simplify l**2*(l*l/(l*l**(2/17))*l)/l*(l**(-2))**(-1/3) assuming l is positive. l**(181/51) Simplify (l**(1/7)/(l**(-2/5)*l))**(1/15) assuming l is positive. l**(-16/525) Simplify (c/(c**3/c)*c/(c/(c*(c**(-2/21)/c*c)/c*c)*c))/(c*c**(-1))**(-5/2) assuming c is positive. c**(-23/21) Simplify ((p/(p*p**(-2)*p))/(p/(p/(p/(p**(-2/11)/p*p*p)))))**(3/20) assuming p is positive. p**(27/220) Simplify n**5/n**(2/7)*n/(n/(n**(1/15)*n))*n*n/(n*n/n**8) assuming n is positive. n**(1447/105) Simplify (w*w*w/(w*w/w**(-1/4))*w*w*w*w)**42/((((w**(-3/8)/w*w)/w)/w)/w**7) assuming w is positive. w**(1671/8) Simplify (q*((q*q*q*q*q*q**(-6)/q)/q*q)/q)**(-47) assuming q is positive. q**94 Simplify (r**(-2/3)/r)**(-4/19)/(r**5/(r**(2/15)/r)) assuming r is positive. r**(-524/95) Simplify c**19*c/c**(4/13) assuming c is positive. c**(256/13) Simplify (b**(-9/2)/b)/b**(-1/11) assuming b is positive. b**(-119/22) Simplify (v**15*v)/((v*(v**9/v)/v)/v) assuming v is positive. v**9 Simplify (i*i*i*i*((i/i**(-12/7))/i*i)/i*i)/(i*i*i/i**(2/3)) assuming i is positive. i**(92/21) Simplify (x**(-2/7))**34 assuming x is positive. x**(-68/7) Simplify (j**(2/5)/j)**(-35)*(j**(-1/2)*j)/j**(3/8) assuming j is positive. j**(169/8) Simplify (u**(-1/4)*u**(1/7))/(u/(u*((u/((u*u*u**2/u)/u))/u)/u))**(-28) assuming u is positive. u**(2349/28) Simplify ((o/o**(-1/4))/o)**(-32)*(o**(2/9)/o)/o**(2/5) assuming o is positive. o**(-413/45) Simplify (h**(-2/3))**(-6) assuming h is positive. h**4 Simplify (g*g**(2/3)*g/(g*(g**5*g)/g*g))**(-1/43) assuming g is positive. g**(13/129) Simplify (s*s**(-2/3))**(15/7)/(s**(-7)/(s/(s*s/(s**(-2/5)*s)))) assuming s is positive. s**(256/35) Simplify (l/(l**(1/6)/l))/l**(-8) assuming l is positive. l**(59/6) Simplify (((c*c**(3/2)/c)/c)/((c*c**(-5)*c)/c))**(-3/25) assuming c is positive. c**(-27/50) Simplify (t**(4/7)/(t*t/(t**1/t)))/(t**0)**49 assuming t is positive. t**(-10/7) Simplify l**5*l*(((l*l**(1/2))/l)/l)/l*l*l*((l*l**(1/4))/l*l)/l**(1/2) assuming l is
{ "pile_set_name": "DM Mathematics" }
0*q**4 - 95*q**3 - 25*q**2 - q**4 - 2*q**3 + 2*q**3 + (12 - 12 + 5*q**4)*(0 + 2 - 1). 5*q**4 + 2*q**3 - 25*q**2 Expand (5 - 5 - 7*v)*(-80 + 92 + 132 + 163). -2149*v Expand 387*p + p**5 - 387*p + 10*p**4 + 0*p - 2*p**5 + 0*p + (-3 + 3 - 2*p**3)*(-3*p**2 + p**2 + 4*p**2). -5*p**5 + 10*p**4 Expand (2 - 3 - 1)*(-65*y - 79*y + 57*y). 174*y Expand (-6 + 3 - 6)*(-2 + 1 + 2)*(-10*p + 15*p + 6*p). -99*p Expand (-83*n**4 - 69*n**4 - 51*n**4)*(-1 + 3 - 4) - 2*n**4 + 2*n**4 + n**4. 407*n**4 Expand (-3 + 3 - 2*i)*(0*i**2 - i**2 - i**2) - i**3 + 2*i**3 + i**3 + (-2*i**2 - 3*i + 3*i)*(-286 + 286 - 156*i). 318*i**3 Expand (9*r**2 + 7 + 5 - 11)*(-10*r + 9*r - 1 - 1). -9*r**3 - 18*r**2 - r - 2 Expand 0*c**2 + 0*c**2 + 6*c**5 + (4*c**4 - 3*c**4 - 10*c**4)*(-2*c + 3*c + c). -12*c**5 Expand (-i**3 - 2*i**3 + 2*i**3)*(52 + 79 - 34)*(1 + 1 + 0). -194*i**3 Expand -2 + 3 - 9*d - 2 - 2*d + 4*d - 3*d + (-5 + 2 + 1)*(d + 3*d - 5*d) - d - 4*d + 2*d. -11*d - 1 Expand (-2*d + 4*d - d)*((3*d**2 - 5*d**2 + 3*d**2)*(-1764 + 1764 - 17*d) - 5*d**3 + d**3 + 3*d**3). -18*d**4 Expand (127*d - 106*d - 102*d - 1)*(0 - 2 - 1). 243*d + 3 Expand -2*w**2 + 2*w**2 + w**4 + (-5*w**2 + 14*w - 14*w)*(0*w**2 - w**2 - w**2) + 3*w**4 - 2*w**4 + 2*w**4. 14*w**4 Expand (g + 2*g - 4*g)*(109*g + 144*g + 7*g) + (2*g + g - 4*g)*(-4*g + 4*g + g). -261*g**2 Expand (-6*u**2 + 6*u**2 + 20*u**4)*(-2 + 2 + 2)*(4 - 4 + 2*u)*(-7 - 2 + 48). 3120*u**5 Expand (-2 + 2 - 3*o**2)*(2 - o**2 - 5*o**2 + 3*o**2) + (o**2 - o + o)*(-2*o**2 - 2*o + 2*o) - 2*o + 2*o - 2*o**4. 5*o**4 - 6*o**2 Expand (0*o - 4*o + o)*(-4 - o + 4) + (0*o + 4*o - 2*o)*(-9*o + 33*o - 6*o - o - 2 + 2 + (2 + 0 - 1)*(4*o - 2*o - 4*o)). 33*o**2 Expand 161*d**4 - 851*d + 851*d + (0*d**4 - 3*d**4 + d**4)*(-2 + 2 + 2). 157*d**4 Expand 2*y - 6*y + 0*y + (-1 - y + 1)*(-5 + 1 + 2) + 2*y + 0 + 0 - 3013 - 32*y + 3013 + 0*y - 2*y + 4*y. -30*y Expand ((-2 + 3 - 3)*(3*y**2 - 3*y**2 - 2*y**2) + (2*y**2 + 2*y - 2*y)*(-4 + 13 + 4))*(6*y**2 - 2*y**2 - 2*y**2). 60*y**4 Expand (-18*i**3 + 210121 + 9*i**2 - 210121)*(2 - 6 + 5)*(6 + 0 - 3). -54*i**3 + 27*i**2 Expand (21*v**3 - 21*v**3 - 11*v**4)*(v - v - 2*v) - 3*v**2 - v**5 + 3*v**2. 21*v**5 Expand (-7*s**5 + 3*s**5 + s**5)*(0 - 2 + 3 - 1 + 1 + 2 - 6 + 1 + 3 + (-1 - 1 + 0)*(3 + 0 - 5) + 5 - 2 + 0 + 0 + 1 + 3). -36*s**5 Expand (2*x**3 - 4*x**3 + 4*x**3)*(-7*x + 12 - 12) - x**2 + 4*x**4 - 1 - 1 + 0. -10*x**4 - x**2 - 2 Expand (-2*h**3 - 2*h**2 + 2*h**2)*(5 + 4 - 5)*(-2 + 0 + 1 + 4 + 1 + 1 + 0 + 1 - 2 + (0 + 0 + 1)*(-3 + 4 + 0) - 1 + 5 - 3 + 1 + 3 - 5). -40*h**3 Expand 2*v**5 - 8*v**5 + v**5 + 3*v**5 + 0*v**5 - v**5 - v**5 + v**5 + 2*v**5 + (2 - 6 + 2)*(2*v**4 - v**5 - 2*v**4) - 6*v**5 + v**5 - 52*v**5. -56*v**5 Expand (3*t**2 - 3*t**2 - t**2)*(-72*t + 8*t - 20*t)*(-3 + 3 + t). 84*t**4 Expand (0*a - a - a)*(-162*a - 180*a + 385*a) + (3 + 2 - 4)*(-a**2 + 2*a**2 - 2*a**2). -87*a**2 Expand -6*a**2 + 4*a**2 + 3*a**2 + (2*a - 3*a - a)*(-1 - 2*a + 1) + 6*a**2 - 4*a**2 + 0*a**2 + (0 + 2 - 3)*(4*a**2 - a**2 - a**2) + 2*a**2 - 2*a**2 - 4*a**2. a**2 Expand (1364 - 1108 - 229 + 1621 + 4152)*(4*t - 2*t + 0*t). 11600*t Expand (38*a**3 + 5*a**2 - 14*a**4 + 24*a**4 - 9*a**4)*(2*a + 3*a - 3*a). 2*a**5 + 76*a**4 + 10*a**3 Expand (0*r**2 - 2*r**2 + 5*r**2)*(1 - 3*r**2 - 1) - 5*r - 2*r**4 + 5*r + 8*r - 5*r - 92*r**4 + 81*r**4. -22*r**4 + 3*r Expand (-2 - 21 - 8)*(5 - 8*c - 5). 248*c Expand -2*m**2 - 2*m**2 + 5*m**2 + (-6*m - m - 3*m)*(-2*m - 3 + 3). 21*m**2 Expand (2*o**4 - o**2 + o**2)*(-1 - 3 + 3) - 6*o**4 + 3*o**4 + o**4 - 8*o**2 - 3*o**4 + 5*o**2 + 2*o**2. -7*o**4 - o**2 Expand (5 - 5 - 1)*(1 - 2*k - 1)*(74 + 25*k - 29*k - 4). -8*k**2 + 140*k Expand (-4 + 4 + 4*o)*(-o - 2*o + 4*o) + (2 + 4 - 1)*(-2*o**2 + 2*o**2 + 4*o**2). 24*o**2 Expand 2*x**5 - 3*x**5 + 0*x**5 + (x - x + 2*x**3)*(0*x**2 + 4*x**2 - 2*x**2) + 2*x - 51*x**2 + 1 + 229*x**2 - x**5 + 76*x**2. 2*x**5 + 254*x**2 + 2*x + 1 Expand (5*i - 5*i - 2*i)*(-208 - 84 - 134)*((2 + 0 - 3)*(-7 + 1 + 4) + 0 - 3 + 2 + 4 - 3 + 0). 1704*i Expand (0 - 2 + 0)*(d**2 - 3*d**2 - 2*d**2) + d**2 - 3 + 3 - 25 - 6*d**2 + 25. 3*d**2 Expand (l + 0*l + l)*(-1 - 2 + 1) + 6*l - 3*l - l + 0 - l + 0 + (-7 + 4 - 4)*(-2*l + 2*l + l) + 4 - 4 - l. -11*l Expand (15*k - 3*k + 5*k + k - 4*k + 4*k + 0*k - k + 3*k + (3 - 2 - 2)*(1 - 1 - k) + 3*k - 3*k - k - 3*k + 4*k - 2*k)*(1 - 1 + 2). 38*k Expand (57 - 29 + 297*c - 27 + 263*c)*(-c - 2*c + 2*c). -560*c**2 - c Expand (w - 4*w + w)*(10 + 4 - 9 + 3)*(1 + 17*w**4 - 1). -272*w**5 Expand v**2 + 2*v**2 - 4*v**2 + 26*v**2 + 108*v**2 - 69*v**2 + 6*v**2 - v**2 - 4*v**2 + 0*v + v**2 + 0*v + (-2*v + 4*v + 0*v)*(-2*v - 1 + 1). 62*v**2 Expand (-7*b**3 + 5*b**3 + 3 + 2)*(-b**2 - 3*b**2 + 10*b**2) + 5*b**5 + 5*b**5 - 3*b**5. -5*b**5 + 30*b**2 Expand (3*x - 2*x + x)*(-12 - 5 + 5)*(-1 + 1 + 1)*(2*x - 3*x - 3*x). 96*x**2 Expand (-2 + 4 - 3)*((-2*x - x + 4*x)*(-2*x + 2*x + x) - 216*x**2 - 251*x**2 + 670*x**2). -204*x**2 Expand (0*b**3 + 3*b**3 - 5*b**3)*(-b - 3*b + 2*b + (2 + 1 - 2)*(2*b + b - 5*b)). 8*b**4 Expand 21*g**2 - 12*g**2 - 192*g**2 + 3*g**2 - 6*g**2 + g**2 + (-5*g - 4*g + 4*g)*(-g + 2*g - 2*g). -180*g**2 Expand (-1 + 1 + 621*x - 1448*x)*(-5 + 3 + 3). -827*x Expand (0 + 3 + 0)*((-5 + 4 + 0)*(-2 + 0 + 1) - 15 + 51 - 19)*(-2*g**4 + 0*g**4 + 0*g**4 + 2*g**4 + 0*g**4 - 3*g**4 + (-3*g**4 + 5*g**4 - 3*g**4)*(-2 + 2 + 2)). -270*g**4 Expand (3 - 1 - 3)*(532 - 532 - 4*v + 2*v + 0*v - 4*v + (-2 + 0 + 0)*(2*v - 6*v + 5*v)). 8*v Expand 148*x + 10 + x**2 + 3*x**4 - 299*x + 150*x + (-1 - 2*x + 1)*(-x**3 - 2*x**3 + 2*x**3). 5*x**4 + x**2 - x + 10 Expand (3*f + 2*f - 2*f)*(713 + 810 - 1440). 249*f Expand (2 - 1 - 2)*(49*k**4 + 69*k - 69*k). -49*k**4 Expand -2*l + 3*l - 3*l + (-9*l + 4*l - 20*l)*(4 + 1 - 3) + 2 + l - 2. -51*l Expand -311*i**4 + 2795 - 2795 + 933*i**4 + (-4*i - i + 3*i)*(4*i**3 - 3*i**3 + 0*i**3) + i**4 - 5*i**4 + 3*i**4. 619*i**4 Expand (v**3 + v**3 - 6*v**3)*(0*v**2 + 17*v**2 - 4*v**2). -52*v**5 Expand -4*n**4 + 2*n**4 + n**4 + (42*n + 86*n + 26*n + (-2*n - 4*n + 4*n)*(-5 + 3 + 3))*(n**3 + n**3 - n**3). 151*n**4 Expand -r**3 - 3*r**3 + r**3 + (4*r**2 + 2*r**2 - 4*r**2)*(-10 - 9*r - 2*r + 3*r) + 3*r + 14*r**2 - 14*r**2 + r**3. -18*r**3 - 20*r**2 + 3*r Expand (c - 2518 - 2*c + 2529)*(1 + 2 + 2 - 2*c). 2*c**2 - 27*c + 55 Expand (5 - 5 - 3*k**3 + (-4 + 4 - 2*k)*(-2*k**2 + 3*k**2 + 0*k**2) + 2*k**3 + 0*k**3 - 4*k**3)*(3 + 0 - 6) + (-1 - 2*k + 1)*(3*k**2 + 0*k + 0*k). 15*k**3 Expand 4*b - 18*b**5 + 11*b**5 - 3*b**2 + 5*b**5 + (-2 + 3 - 2)*(-5*b**3 + 5*b**3 + b**5). -3*b**5 - 3*b**2 + 4*b Expand (-3*c**2 + 0*c**2 + c**2)*(-287 + 43 - 282 + 146). 760*c**2 Expand (o - 3 + 3)*(-o - 1 + 1) + ((-2 + 3 + 2)*(-2*o + 5*o + 0*o) + 5*o - 2*o - 2*o)*(-9*o + o + 3*o). -51*o**2 Expand (29 - 28 - 33)*(-x + 2*x + x)*(-3*x**2 - x + x). 192*x**3 Expand -4*s**5 + 5*s**5 + 0*s**5 + (168 - 160 + 468)*(-2*s + 2*s + s**5). 477*s**5 Expand -6*q**3 - q**3 + 3*q**3 - 71*q**2 - q**3 + 71*q**2 + (q**2 - q**2 + 2*q**2)*(-2*q + 0*q + 4*q). -q**3 Expand (-4*r**4 + r**4 + 2*r**4 + (-2*r**3 + r**3 + 2*r**3)*(-2 + 2*r + 2) - 48*r**4 + 152*r**4 - 55*r**4)*(-3 - 2*r + 3)*(3 - 1 - 3). 100*r**5 Expand (-5 + v**4 + 5)*(0 - 2*v + 0) + 2*v**5 - 2*v**5 + 2*v**5 + (-4*v - 2*v + 4*v)*(2*v**4 + 0*v**4 + 0*v**4). -4*v**5 Expand -26*z + 6*z**4 + 26*z + (3*z**2 - z**4 - 3*z**2)*(-2 + 4 - 1). 5*z**4 Expand (3 - 3 - 5*z)*(30 + 182 + 16). -1140*z Expand (9 - 16 - 23)*(-2*b + 3*b + 0*b) - 7*b + 7*b - 4*b. -34*b Expand (5 - 3*t - 5)*(3*t - 3*t + 3*t)*(-6*t**3 + 6*t**3 + 6*t**3 - 3*t). -54*t**5 + 27*t**3 Expand (2 + m - 2)*((m + 4 - 4)*(-5*m + 2*m + 4*m) + (-28 + 28 - 83*m)*(1 - 2*m - 1)). 167*m**3 Expand (-3*c - 3 + 3)*(16 - 7 - 1) - 1 - 2*c + 1 + (-2*c + 5*c - 4*c)*(-3 - 1 + 5) + 0*c + c - 2*c + c + 5 - 5. -27*c Expand (2*v + 7*v + 4*v)*(10 - 3 - 1). 78*v Expand (-37 + 51 + 27)*(2 - 2 + 6)*(-5 - k**2 + 5). -246*k**2 Expand (-6 + 3 + 0)*(45*s - 26*s - 18*s) + 0 + 0 + s. -2*s Expand (-4*v + v**2 + 4*v)*(5 - 5 - 3)*(2 + 4 - 2). -12*v**2 Expand (-2*o**3 + 3*o**3 - 3*o**3)*(1 - 34 - 3). 72*o**3 Expand (-10 + 5*w + 0*w + 13)*(-w - w + 0*w). -10*w**2 - 6*w Expand 1 + f - 1 + (-4 + 4 + f)*(-3 + 1 + 4) + f - 3*f + 3*f + 4 + f - 4 + 120*f + 41*f + 87*f. 253*f Expand (3 - 3 + l)*(90*l**3 + 236*l**3 - 438*l**3 - 1129*l**3). -1241*l**4
{ "pile_set_name": "DM Mathematics" }
um -3.2 and 7655. 7651.8 Work out 12.269 - -0.1. 12.369 Work out 0.8 + 656045. 656045.8 What is 0.2 plus 0.284412? 0.484412 Add 3.148 and -0.5. 2.648 Calculate 0.043 - 2228. -2227.957 -722+0.1 -721.9 What is 101697 less than -6? -101703 Sum 158 and 10. 168 Work out -2278 - -6030. 3752 -0.0481444+-0.4 -0.4481444 What is -3291 plus 0.4? -3290.6 Calculate -0.2 + -194757. -194757.2 Calculate -11402 - -42. -11360 Sum 0.5294 and -0.2. 0.3294 What is 37.9 + 96? 133.9 What is -0.7786 take away -883? 882.2214 Subtract -0.2 from -228.29. -228.09 What is -0.2117 less than -0.069? 0.1427 What is 0.04 plus -0.04? 0 What is 0.0441483 take away 2? -1.9558517 What is 4 minus -10162? 10166 What is -0.4 plus 375969? 375968.6 What is 198.134 + -53? 145.134 Add 16 and -3.3. 12.7 -42.526 - 0.04 -42.566 What is 0.019 minus 0.14? -0.121 Total of 2.503 and 0.117. 2.62 What is -0.1043 - -61? 60.8957 What is -3.545 - -3.01? -0.535 0.255 - -1.365 1.62 Subtract 1.231 from -5. -6.231 What is -51.651 plus 0.08? -51.571 What is 659.5 less than 4? -655.5 -2495+-2 -2497 What is 11756 take away 0.13? 11755.87 -335 + 42.5 -292.5 Subtract -1.6 from -16645. -16643.4 Calculate -187.03 + 5. -182.03 What is the distance between -1.8 and 56? 57.8 -2+784 782 Work out -19251.5 + 0.03. -19251.47 What is 0.5 + -97041? -97040.5 Work out -0.4 + 3704. 3703.6 -578.05+0 -578.05 Add 0.36 and -16334. -16333.64 What is 817 - -2? 819 What is -2.21 + -0.0346? -2.2446 What is 4.06 minus -7.8? 11.86 Total of 0.33 and -232. -231.67 Add -7 and -0.0064. -7.0064 What is -21 minus -0.175? -20.825 Add 3444.2 and -2. 3442.2 What is -166 - 25557? -25723 What is -38 + 23? -15 What is -0.999 take away 2375? -2375.999 What is -0.97 minus -0.45? -0.52 Add -6571800 and -0.5. -6571800.5 Put together 24 and 1605. 1629 294393 - -2 294395 Total of 149.819 and 28. 177.819 What is -6 minus 754? -760 Calculate -61 - -3.82. -57.18 73 - -0.651 73.651 What is the distance between -21997 and 1.4? 21998.4 Put together 11946835 and -0.5. 11946834.5 Calculate -184 + -0.2718. -184.2718 What is 5464 + 0.4? 5464.4 Put together -1191.6 and -0.1. -1191.7 Calculate 84790 + 8. 84798 Work out -0.2 - -90. 89.8 Work out 0.03604 + -0.08. -0.04396 -0.28433 + -0.3 -0.58433 What is -188 plus -261? -449 What is 0 less than -262.4? -262.4 Subtract 4 from 2.59. -1.41 Subtract 27446 from 4. -27442 What is -10 minus -1238? 1228 What is the difference between 45.95 and 0.2? 45.75 90 - 0.036 89.964 Subtract 177 from 75.4. -101.6 Put together -25.2 and 1647. 1621.8 Subtract 3 from -4122117. -4122120 -4129+52.4 -4076.6 Subtract -63 from 112. 175 Calculate 335523 - 0.09. 335522.91 Add together 0.46709 and 0.4. 0.86709 Calculate -1.43 - 1. -2.43 Work out 2 - -11454. 11456 Put together -79.8 and -49. -128.8 Add 0.7 and 3.48. 4.18 What is the difference between 5476.2 and 56? 5420.2 Work out 0.452 + -3.6. -3.148 Add together 14.461 and 7.7. 22.161 Subtract 36.1 from 2. -34.1 What is the difference between 8.7 and 2.2? 6.5 Add 1 and -0.0219. 0.9781 What is -1492303.2 take away 3? -1492306.2 What is 0.2315 minus 0.235? -0.0035 What is -1.0142 take away 7? -8.0142 Add 27 and 1165. 1192 What is -1 take away 1598? -1599 What is -54834 + 2.55? -54831.45 Add together 25 and 11.206. 36.206 What is -0.4 less than -0.16948? 0.23052 What is 33382 less than 0.4? -33381.6 Calculate -1.194 - 1.16. -2.354 Add together 29345 and -0.06. 29344.94 What is 0.7 less than -1248? -1248.7 Work out 1945 + -256. 1689 Subtract -3 from 1203. 1206 -3 - 0.2523 -3.2523 What is the distance between -0.0017 and 11? 11.0017 Calculate -172.2 + 4. -168.2 What is -2877 plus -17? -2894 What is -0.1 take away -6845? 6844.9 -331+-44228 -44559 Calculate 3 - 0.68. 2.32 28935+0.5 28935.5 Add together 806709 and 0.3. 806709.3 Calculate 25 + -415. -390 Add together -904558 and -0.3. -904558.3 What is -156281 minus 0? -156281 What is -0.0962 - 0.5? -0.5962 What is the distance between 0.7 and -0.0669? 0.7669 Total of -53198 and 0.24. -53197.76 What is 102302 minus -0.17? 102302.17 Work out -2.63 - -0.107. -2.523 Subtract -21018 from -0.076. 21017.924 What is -0.3 minus -366? 365.7 Put together -0.05533 and 272. 271.94467 What is the difference between -0.03917 and -0.106? 0.06683 What is -4 take away 14.7? -18.7 Work out 32870 + 3. 32873 -0.1+527764 527763.9 What is -0.2 - -0.103177? -0.096823 What is 0.126 less than 115? 114.874 What is -0.356 take away -1853? 1852.644 What is the distance between 232 and 5.9? 226.1 11 + -25 -14 Sum 3 and -167279. -167276 Total of -0.2403 and -0.06. -0.3003 What is -31.8 - -2? -29.8 Work out 106.5234 - 0.1. 106.4234 Sum 2836 and 7. 2843 Calculate -0.22 - 65. -65.22 What is the difference between 0 and -26434? 26434 Calculate 6.237 + 3. 9.237 657.606 + 2.5 660.106 Work out 8156 + -0.5. 8155.5 -31.10194 - -0.5 -30.60194 What is -689.91 take away 1? -690.91 Put together 701 and 0.1921. 701.1921 Calculate 165 - 423. -258 What is 5.548 + 0.0564? 5.6044 Put together -1687 and 0.4. -1686.6 What is -9.832 + -0.02? -9.852 What is -38.8935 + 1.2? -37.6935 What is -383 + -1.4? -384.4 Sum -0.0378 and 5. 4.9622 What is -370 plus 4? -366 Work out 56788 + 4. 56792 Add together -27.75 and -79. -106.75 Add 6 and -878.8. -872.8 Sum -97.9 and 0.082. -97.818 -0.1598+591 590.8402 What is 7435 less than -0.175? -7435.175 933 + 96.4 1029.4 0.017 - -239.59 239.607 Subtract 267832 from 7. -267825 What is 4 take away 56.749? -52.749 -84+52 -32 38 + 0.063 38.063 Calculate -8 - -6.4. -1.6 Calculate 15.14 + -1471. -1455.86 What is 1402 minus 97? 1305 What is -2.4 take away 0.02337? -2.42337 What is -104 + -0.1372? -104.1372 Subtract 16942.9 from 0.43. -16942.47 What is 1 take away -19648.99? 19649.99 Work out -974 - -0.05. -973.95 Total of 186.6 and -0.4. 186.2 What is the difference between 0.0436171 and 4? 3.9563829 What is 7 less than 153043? 153036 Subtract 56.8 from 30.6. -26.2 What is 0.2 take away -0.0054? 0.2054 -337+268 -69 What is -1 minus 24.471? -25.471 What is the distance between 4 and -5.079? 9.079 What is 0.3 + 131? 131.3 What is the difference between -210485 and -0.5? 210484.5 Calculate -0.0412 + -9.1. -9.1412 What is -0.11881 plus 5? 4.88119 Total of -0.12 and -2680. -2680.12 Calculate 0.2 + 50535. 50535.2 What is 0.2 less than -604? -604.2 Work out 0.22 - 769. -768.78 Total of 119573 and 2. 119575 0.028+-0.5 -0.472 -392+3 -389 -3183 - 66 -3249 -0.028 + -75755 -75755.028 What is the distance between 4.7 and 38? 33.3 Add together 0.4 and -150817. -150816.6 -0.1+9388 9387.9 -306.66+-1 -307.66 Total of -0.1353 and -0.2. -0.3353 What is 109.6 less than 0.042? -109.558 Subtract -241 from -2.2. 238.8 Sum -0.049 and 4.5608. 4.5118 -0.4 - 0.0558476 -0.4558476 What is -0.06 + 24? 23.94 What is 0.5 less than -165050? -165050.5 What is -15 - -25523? 25508 Subtract -0.1532 from -927. -926.8468 Add -0.2 and 67719. 67718.8 -0.27 - 1.472 -1.742 0.1 + -33643 -33642.9 Calculate -1.23966 - 0.5. -1.73966 Calculate 9.4 - -0.4. 9.8 What is -1.25418 minus 0.2? -1.45418 Sum -701 and -15. -716 What is -8.09 less than 64.3? 72.39 What is -255.47 take away 22? -277.47 Sum -0.4043382 and -0.4. -0.8043382 Put together -2 and -5537.9. -5539.9 69+-0.01 68.99 Sum 42618 and 3. 42621 -0.37+-3741 -3741.37 Calculate -0.01 - 0.9531. -0.9631 What is 46 + 528? 574 What is -56 - -3472.3? 3416.3 Add 0.09 and 1112. 1112.09 What is -1 minus 19897? -19898 What is -3473 plus 158? -3315 Calculate -0.244 + 0.064. -0.18 What is the distance between -3 and -3701843? 3701840 What is 1135 - 7? 1128 What is 5 plus -281? -276 What is 98059 less than 0.2? -98058.8 Put together -19 and 149. 130 What is 0.1 take away -19227? 19227.1 Calculate -11.62 - 1.3. -12.92 What is 5610 take away -2? 5612 Total of -9 and 0.0085. -8.9915 Put together -0.642 and -0.894. -1.536 Calculate 0.1 - 2.3. -2.2 -31+98.1 67.1 What is -0.4 minus 421? -421.4 -520 + 2324 1804 -6607 + 407 -6200 What is -0.311 minus -2.5? 2.189 Add -3339 and -4. -3343 -4+6.2843 2.2843 Sum 0.4 and -33039. -33038.6 What is -0.39 take away 55.29? -55.68 Calculate 11 - -90709. 90720 What is -15923 plus 5? -15918 -2 + -808 -810 What is -0.49 minus 130? -130.49 Sum 103 and -0.68. 102.32 What is 23.083 take away -1.5? 24.583 What is the difference between 524882 and 3? 524
{ "pile_set_name": "DM Mathematics" }
/(4/((-696)/(-6)))? -29 What is the value of ((-925)/40)/1 + (35 - (-4464)/(-128))? -23 Calculate (-128 + 119416/920)/((-3)/25). -15 -12 - (-5)/((-170)/153)*(9 + -11) -3 Calculate 12156/(-79014) + (-1)/(26/(-680)). 26 What is the value of -39 + (21 - -13) - (-100)/10 - 59/13? 6/13 What is -54 - -85 - ((-6)/(-10) - 5243/(-245))? 9 What is the value of 28180/704 + 411/(-4521) - 40? -1/16 What is (44/(-7) + 5)*((-12)/120 - 209/(-165))? -3/2 What is (-48)/120 - (39/180 + (-34)/(-255))? -3/4 What is the value of (-2 + (3114/(-162) + 19 - (-1970)/(-45)))*-1? 46 Evaluate 24960/(-546) - (-21)/(588/(-64)). -48 Calculate 7/(7/10) + 78 + (-76950)/875. 2/35 (-1905870)/(-37370) - (1 + 2*9) 32 What is 2244/14025 - 7/350*-3142? 63 What is ((-453)/(-9060))/(627/(-88) - -7)? -2/5 What is the value of (-76)/57 - ((-4312)/33)/14? 8 What is the value of (0 - 61) + ((-18)/39 - 12210/(-1443))? -53 What is the value of ((-42090)/(-322))/(-61)*189/(-30)? 27/2 What is ((-3256)/46398)/((-36)/38)? 2/27 What is (-2245)/(-55) - ((-248)/(-44))/(-31)? 41 7*2 - (-329226)/(-23310) - 7/(525/5) -4/21 Calculate (1/(-3) - (-112)/(-24)) + (12 - 39 - 4). -36 Calculate -1*(-10)/15*(567 + -507). 40 Calculate -3*((102/425)/(98/105))/(6/10). -9/7 Evaluate (36/(-3))/((-39)/169*(-896)/(-96) - -2). 78 15/1230 + 124083/(-1394) -89 Evaluate (6/27 - 19/(-36))/((-2775)/(-200)). 2/37 Evaluate 2*((27/(-3))/(1281/((-7)/1)))/3. 2/61 Evaluate ((-45)/(-90))/(-410 - -412). 1/4 What is the value of 372/1984*-1 + 186/(-32)? -6 Calculate (0 + 2/(-14))/((-11888)/(-478492)) - (3 - 10). 5/4 Calculate -10*(-1)/4*(187460/(-5850) + 30). -46/9 What is (1110/(-12) - -92)/(2/(-200))? 50 Evaluate ((-13362)/68)/131*64/52. -24/13 Calculate (-90)/(-351)*-3 - 1810/(-325). 24/5 -4 + (1112/105 - (5155/75 - 69)) 48/7 What is the value of (-214 - 94227/(-441))*(1/1 - 271)? 90 What is the value of 12940/(-5176)*((-558)/(-15))/3? -31 Calculate (-204)/170*20 + -14 + -2 + -5. -45 4/(-42) - 375476/(-3240867) 2/97 Calculate (-135)/(-495)*((-15)/(1125/120))/((-6)/15). 12/11 ((52 - -1) + 5)/((16/(-6))/(2200/1650)) -29 (-12)/(-9) - 0 - (-2011600)/(-451200) -25/8 Evaluate ((-76680)/(-324))/142*-30. -50 What is 87*(-4)/(-1755) + (-1614)/10491? 2/45 What is (-49 - 0) + 1677 + -1633? -5 Calculate -25 - ((-429)/(-13) + -59). 1 What is the value of -10 - 18/(-2) - 36/(-1248)*34? -1/52 What is ((-236)/224 + (-153)/408)*(-63)/48? 15/8 6716/(-28543)*(-3)/18 2/51 Calculate (-3 - -8) + 2*(-4983)/1914. -6/29 8610/1230 + (-4)/(176/164) 36/11 What is 39/((-351)/(-36)) - (-1250)/(-25)? -46 What is the value of (179 - 188) + (-14)/(8/4)? -16 What is the value of (-76)/(-6)*4275/3800*32/(-6)? -76 What is (7150/(-225))/(-11)*(-10)/((-60)/54)? 26 Calculate (2/4 + 485/10)/((-28)/(-868)*31). 49 Calculate 54/(99 + -45) + (298/6)/(4/(-12)). -148 74/(-5) - 18798/3615 -20 Calculate 2298957/377286 - (-30)/156. 44/7 Calculate (-10)/(-235)*291024/288. 43 47/14 - 49/14 - 366/3416 -1/4 What is 48/(-132) - 1278/781? -2 Evaluate ((-8)/(-4) - 1)/((-19)/8664*-12). 38 What is the value of 16/(-26) + (-963648)/(-434980)? 8/5 Calculate (-560)/(-756)*9*45/10. 30 What is (3 - 1675/201) + (6 - -1)? 5/3 (-6)/768 - 41466/768 -54 What is 320/(-22) + (112/1008)/((-10)/(-1350))? 5/11 What is the value of (165/(-220))/(7*3/42 + (-699)/1380)? 115 What is (-643)/57 - (-92990)/8205? 1/19 What is the value of ((29 - 48)/19)/((-2150)/220 + 10)? -22/5 What is the value of (1903/(-1925) - -1)/((-2071)/95 + 21)? -1/70 Calculate 45/(-70)*(-1428)/(-7650)*(-5)/(-8). -3/40 What is the value of (-121147)/65233 + 3/(21/(-904))? -131 ((-7637)/(-4364))/((-474)/(-4) + -3) 1/66 Calculate 75/(-4) - ((-3)/72)/(18/(-108)). -19 -13 + ((-10)/4)/((-26)/14144*-40) -47 (-5 - 19)/168 + ((-1852)/14)/(-2) 66 (-16815)/(-885) + 148/(-6 - -4) -55 Calculate (-70)/(-28)*(258/75 + -4). -7/5 Calculate 12/((-10)/5) - (-1034)/47. 16 Calculate -447 + 394 - 69/(-1). 16 Evaluate (-26)/(-2457)*2653 + (-4)/54. 28 What is (-9 + (13 - (-350)/(-98)))/(957/77 - 3)? 1/22 What is ((68/(-5))/(-4) - 2)/(675/23625)? 49 What is (-12)/(-48) - ((-73)/34)/(22*(-35)/385)? -14/17 What is the value of -91 - 39*(-23)/483*14? -65 Calculate (-1683)/(-33) - 20490/402. 2/67 Evaluate 25*(-31)/(-1550) - 35/130. 3/13 Evaluate 52*(20185/880 + -23). -13/4 ((-32)/4 - (-507)/26)*((-2 - -10) + -6) 23 Evaluate (4 + (-459)/90)/(30/300) - 59. -70 Evaluate 14362/1806 + (-10)/2520*-12. 8 What is the value of -10 - (-2007)/324 - 72/96*(-16)/(-27)? -17/4 Evaluate ((-235)/282)/((-40)/(-144) - (-3)/(-9)). 15 What is 1107/693 - 233/((-84579)/198)? 15/7 What is (-2)/(4/(-170)) + 19/(-323)*0*-1? 85 What is (640575/390)/(-73)*(-4)/(-2)? -45 What is the value of (-17)/2*(8118/990 - 91/5)? 85 What is the value of ((-6)/4)/(((-231)/14)/3)? 3/11 -1 + (-302)/5 - (-7044)/17610 -61 What is (71577/(-117126))/(2/16)? -44/9 Evaluate (-1)/(15 - (-285)/(-95) - 370/32). -16/7 2850/36 + 819/(-54) + 21 + -3*2 79 Evaluate -1*26*6/1092*742. -106 Evaluate (-160)/12*(-1041)/20820. 2/3 Evaluate (-244)/(-15) - ((-336)/(-8) - 26). 4/15 Calculate (508/32385)/(72/(-60)). -2/153 Calculate (-12)/696*4 + (18768/493 - -14). 52 What is 3/1*(-39 + 35)*(-568)/(-96)? -71 Evaluate ((-232)/(-7) + 560/35 + -43)/((-2)/(-14)). 43 Calculate (-10*(-8)/(-280))/(14/784). -16 What is -27*7/((-2457)/429)? 33 Evaluate 12/34*611/1833. 2/17 What is the value of ((-588)/35)/(18/(-36) - ((-172)/40 + 4))? 84 (-478)/24378 + 5658/(-153) -37 ((2624/(-7))/(-8))/(3536/(-6188)) -82 What is 5/((14/11 - 1) + 4803070/404635)? 7/17 What is (27 + (-402)/15)*(0 - (-20)/(-168))? -1/42 Calculate (((-18)/(-45))/(8/(-430)) + 4)*48/120. -7 What is ((177/(-12))/(2016/1152) - 6/(-14)) + -5? -13 What is 2/((-985)/2364*(-3 + 27/12))? 32/5 Evaluate 3549/(-301665) - 10202/(-170). 60 What is (-140)/(-24) - 25715/3336? -15/8 What is the value of (-7)/28*(2679/1455 + 918/(-510))? -1/97 What is 0 - (-38)/(-2) - (-404535)/20115? 10/9 Evaluate 77/((-1309)/1887) + 69. -42 Evaluate (-4 + (-1656)/(-416))/((-1055)/(-96) - 11). 24/13 What is the value of ((1728/(-28))/(-8))/(411/(-2877))? -54 Evaluate (-3936)/36 + 62 + 9620/(-156). -109 What is (-36)/(-16)*((-96210)/540 - -178)? -3/8 What is the value of ((-28)/(-24))/(-77 + 118 + -13) + (-1799)/(-24)? 75 Calculate ((7 - (-738)/(-96))*4)/((2/(-1))/(-32)). -44 Evaluate ((-39)/390)/(4/18*(-918)/36 + 5). 3/20 Calculate (-58)/(-66) - (-19)/2736*(-37 - 11). 6/11 ((-2860)/180 + 15)*1890/(-60) 28 Evaluate (20/210)/(-2 - 74/14). -2/153 What is the value of ((-377036)/52877)/(4/(-46))? 82 Calculate -3 + (14 - ((-5670)/1980)/((-4)/22)). -19/4 ((-60)/(-8) - 3431/282)/(6/4) -28/9 -2*(60/(-40) - (-224)/35)*(-1)/7 7/5 Evaluate -7 + (-5 - 93/(-18))*(21 - 3249/(-153)). 2/51 Evaluate (-2884)/224 - 153/136. -14 Evaluate (-26)/27*((9 - 144) + 138). -26/9 Calculate (250/105)/(8/168). 50 What is the value of (448 + -432)*(-31)/(-16)? 31 Evaluate (7/3)/(206360/1608). 1/55 Evaluate (4250/136 + -45)/((-2 - -4)*3/(-24)). 55 What is 33 - (57 - 11990/495)? 2/9 What is 1/(-2)*(-11 + 178 + -93)? -37 What is (-36)/5850*-130*(-20)/(-1104)? 1/69 Calculate ((19/(798/12))/(45/21))/(4/(-24)). -4/5 Calculate ((-54)/15)/(64/(-320)) - 19. -1 What is the value of (25595/66547)/((-28)/468)? -45/7 What is the value of (49/28)/(1/(116/(-319)))? -7/11 Calculate 148845/14189890*(11/12 + 0). 1/104 156/(-1365)*-56*30/4 48 Evaluate (8107/737)/(2/15 + 6/30). 33 What is the value of 2*539/(-561) - -2*(-5)/(-5)? 4/51 (((-4620)/(-49))/10)/((-42)/196) -44 Evaluate 273/(-12) - -22 - (-3)/24*-602. -76 (11*1236/396 + 340/(-20))/((-4)/(-6)) 26 What is (-57)/(-84) + ((-59)/413)/(4/20)? -1/28 Evaluate (-4)/(-70) - 333/(-3996)*567/245. 1/4 Evaluate (29*42/3248)/(18/(-60)). -5/4 What is the value of 7 + -1 - (-62 + 87)? -19 (22/55)/((-8)/(-60))*(-8 + 18 + -18) -24 Calculate (11 + 5 - 13/(182/196)) + (34 - -1). 37 What is the value of ((70/(-1925))/(-12 - 295/(-25)))/((-32)/(-22))? 1/8 -6*(4/(-14) + (0 - -1)*(-469)/(-98)) -27 (-3)/((7056/931)/48) -19 What is 20/2 - (-4819440)/(-481010)? -2/103 What is 9/36*8/(-5)*(-882)/(-14994)? -2/85 Calculate 4/6*440586/(-7164). -41 What is the value of (-4 - -19)*((-12)/8)/(7 + (-190)/20)? 9 Evaluate (1353/99 + (-5)/3)/(2*40/8). 6/5 What is the value of (-12705)/70*-5*(-10 + 296*1/30)? -121 What is 408/132
{ "pile_set_name": "DM Mathematics" }
or i(a). -(a - 3)*(a + 1)*(a + 2)/3 Let s(y) be the third derivative of -1/21*y**3 + 0 - 2*y**2 + 0*y**4 + 1/210*y**5 + 0*y. Determine d so that s(d) = 0. -1, 1 Factor 1/3*g**4 - 1/6*g**3 - 1/3*g**2 + 1/6*g**5 + 0*g + 0. g**2*(g - 1)*(g + 1)*(g + 2)/6 Let h be 6/12 + (-1)/2. Let g(a) = -a + 2. Let c be g(h). Factor -c*q**4 + 3*q**4 + 0*q**4 + 0*q**4. q**4 Let n(d) be the third derivative of d**7/1680 - d**6/480 - d**5/40 + 5*d**4/24 - d**2. Let v(j) be the second derivative of n(j). What is b in v(b) = 0? -1, 2 Let s(z) = z**2 + 6*z + 2. Let y be s(-4). Let u be y/4 + (-279)/(-162). What is n in 0*n**3 - 2/9*n**5 + 4/9*n**4 + u*n + 0 - 4/9*n**2 = 0? -1, 0, 1 Solve -12*w**3 - 16*w**2 - 20*w - 8*w**2 - 3*w**4 - 6 + 6*w**4 - 5*w**4 = 0. -3, -1 Let l(m) be the third derivative of -1/50*m**5 + 4*m**2 + 4/15*m**3 - 1/300*m**6 + 0 + 0*m**4 + 0*m. Factor l(k). -2*(k - 1)*(k + 2)**2/5 Factor -2/3*l**2 - 2/3*l**3 + 0 - 2/9*l**4 - 2/9*l. -2*l*(l + 1)**3/9 Let g be 1*(-1 - (-45)/12). Let h = g - -27/28. Find n, given that -2/7*n**4 + 12/7*n**3 - 8/7 - h*n**2 + 24/7*n = 0. 1, 2 Let i(g) be the third derivative of -g**5/20 - g**4/8 + 5*g**2. Let i(z) = 0. What is z? -1, 0 Let m(l) = -l**3 + 4*l - 3. Let b be m(2). Let d be b - (2 - (-21)/(-4)). Suppose 3/4*f - 1/4*f**2 - d*f**4 + 1/2 - 3/4*f**3 = 0. Calculate f. -2, -1, 1 Let t(k) be the second derivative of -2*k**5/75 + k**4/60 + k**3/5 - k**2 - 5*k. Let g(o) be the first derivative of t(o). Factor g(c). -2*(c - 1)*(4*c + 3)/5 Let c(z) be the third derivative of z**7/1575 + z**6/150 + 2*z**5/75 + z**4/18 + z**3/15 + 7*z**2. Factor c(x). 2*(x + 1)**3*(x + 3)/15 Let k = -47 - -50. Let u(o) be the first derivative of -5/6*o**3 + 0*o - 1/2*o**2 + k - 1/10*o**5 - 1/2*o**4. Factor u(m). -m*(m + 1)**2*(m + 2)/2 Let m(s) = -s - 4. Let g be m(-3). Let x be -1 + 5 + g + 1. Factor -t - 3*t**3 - x*t**5 + 8*t**5 - 4*t**2 + 4*t**4 + 0*t**3. t*(t - 1)*(t + 1)*(2*t + 1)**2 Let s = 8 + -4. Let m = 0 + s. Suppose -1/2 + 7/4*j**3 - m*j**2 + 11/4*j = 0. What is j? 2/7, 1 Let y(x) = 1 + x + 0 - 3 + x**2 + 1. Let j(l) = -3*l**2 - 11*l + 9. Let r(o) = -j(o) - 5*y(o). Solve r(g) = 0 for g. 1, 2 Let x(s) = -s**2 - 7*s - 2. Let i be x(-6). Let q(h) = -3*h**2 - 4*h - 4. Let j(b) = 3*b**2 + 5*b + 5. Let t(y) = i*j(y) + 5*q(y). Solve t(v) = 0. 0 Let g(k) = -k - 2. Let n = -5 + 1. Let f be g(n). Factor -z**4 + 2*z**2 - z**f - 1 + z**2. -(z - 1)**2*(z + 1)**2 Suppose -3*m + 6 = -3. Let f = 4 + -2. Suppose 0 - 2*j**3 - 2*j**m + f - 10*j + 2*j + 10*j**2 = 0. What is j? 1/2, 1 Let b(r) be the first derivative of 4 + 3*r**2 + 0*r**4 + 3*r**3 + 0*r - 3/5*r**5. Factor b(i). -3*i*(i - 2)*(i + 1)**2 Let w(h) be the second derivative of h**5/30 - h**4/6 + h**3/3 - 3*h**2 + h. Let x(u) be the first derivative of w(u). Solve x(k) = 0. 1 Find q such that -1/2*q**4 + 1/2*q - 1/2*q**3 + 1/2*q**2 + 0 = 0. -1, 0, 1 Let d = -12 + 14. Solve -q**d - 5*q**5 + 3*q**5 - 4*q**4 + 7*q**4 = 0 for q. -1/2, 0, 1 Suppose 2*n + 5 = 5*m, m - n = 3*n - 17. Let j be (4/(-10))/(m/(-15)). Factor -1 + 3*c**j - c - 1 + c**3 - c**4 + 0*c. -(c - 2)*(c - 1)*(c + 1)**2 Find f, given that 1/3*f - 1/3*f**2 - 1/3*f**3 + 0 + 1/3*f**4 = 0. -1, 0, 1 Let n(x) be the second derivative of -x**8/504 + x**7/315 + x**6/90 + x**2 + x. Let w(a) be the first derivative of n(a). Factor w(u). -2*u**3*(u - 2)*(u + 1)/3 Let j(c) = 25*c - 223. Let d be j(9). Factor 4/9 - 2/9*n - 2/3*n**d. -2*(n + 1)*(3*n - 2)/9 Let f(j) be the third derivative of -1/3*j**3 + 0*j**4 + 1/30*j**5 + 0*j + 0 - j**2. Factor f(i). 2*(i - 1)*(i + 1) Let h be -4 - -2*(-51)/(-24). Let n(t) be the second derivative of -h*t**2 + 0 - 1/12*t**3 + 1/40*t**5 + 1/24*t**4 - t. Find o such that n(o) = 0. -1, 1 Suppose -h - 30 = -5*a + 4*h, -5*h - 28 = -4*a. Let -a - 7*w + 3*w - 6*w - 2*w - 18*w**2 = 0. What is w? -1/3 Let h = 825/8 - 103. Let g(d) be the third derivative of 0 - 3*d**2 + 0*d**3 + 0*d - 3/20*d**5 - h*d**4. Determine i so that g(i) = 0. -1/3, 0 Let m(g) be the first derivative of -g**4/6 - 2*g**3/3 + 3*g**2 - 2*g + 2. Let o(u) be the first derivative of m(u). Factor o(a). -2*(a - 1)*(a + 3) Suppose 2*k = -8, 4*p + 2*k + 48 = 3*k. Let f = -3 - p. Solve -7*x + 1 + f*x**2 + 6*x**3 + 12*x**3 - 27*x**5 - 27*x**4 + 0*x = 0 for x. -1, 1/3 Factor -1/11*m**3 - 4/11*m - 4/11*m**2 + 0. -m*(m + 2)**2/11 Let 28/17*q + 2/17*q**2 + 98/17 = 0. Calculate q. -7 Suppose 2 = 4*t - 6. Let 296*i**3 + i**t + i**4 - 299*i**3 + i**2 = 0. What is i? 0, 1, 2 Let v be (-3 - -2)/((-4)/8). Find h such that 0 + 6*h - 6*h**v + 2*h**3 - 2 - 5*h**2 + 5*h**2 = 0. 1 Let y be -8 + (186/36 - -3). Factor 0 + 0*p - 1/6*p**3 + y*p**2. -p**2*(p - 1)/6 Suppose 0 = 2*g + 2 - 8. Let k(s) be the second derivative of -1/15*s**6 - 1/6*s**4 + 1/5*s**5 - s + 0*s**2 + 0*s**g + 0. Determine h, given that k(h) = 0. 0, 1 Let q = 13 - 9. Let c be (-1 - -5) + (2 - q). Factor d - 1/4 - 3/2*d**c + d**3 - 1/4*d**4. -(d - 1)**4/4 Let g(v) be the second derivative of -v**7/7 + 3*v**6/10 + 3*v**5/20 - 3*v**4/4 + v**3/2 - 8*v. Find x, given that g(x) = 0. -1, 0, 1/2, 1 Let b be (-2)/((6/5)/(1/(-5))). Find z such that 0 - z**3 + 1/3*z**5 + 2/3*z - b*z**4 + 1/3*z**2 = 0. -1, 0, 1, 2 Let t(d) be the third derivative of -d**6/300 - d**5/50 - d**4/30 - 9*d**2. Factor t(x). -2*x*(x + 1)*(x + 2)/5 Factor -6*j**2 + 8*j**3 + 3*j**4 - 2*j**4 + 2*j**2 - 5*j**4. -4*j**2*(j - 1)**2 Suppose -4 = 14*x - 16*x. Let z(l) be the third derivative of -1/3*l**3 + 1/20*l**5 - 5/24*l**4 - x*l**2 + 0 + 0*l. Find g, given that z(g) = 0. -1/3, 2 Let v(f) be the first derivative of 1/4*f**2 + 3 + 1/4*f + 1/12*f**3. Factor v(c). (c + 1)**2/4 Let t = -14 - -15. Let f(m) be the first derivative of -4/3*m + t - 10/9*m**3 + 7/3*m**2. What is q in f(q) = 0? 2/5, 1 Let b(u) be the third derivative of 1/40*u**6 - 1/36*u**4 - 3/112*u**8 - 2*u**2 - 7/180*u**5 + 0 + 0*u + 3/70*u**7 + 0*u**3. Let b(p) = 0. What is p? -1/3, 0, 2/3, 1 Suppose -p = 3*p + 56. Let k = p - -16. Factor -9/5*t - 6/5 + 3*t**k. 3*(t - 1)*(5*t + 2)/5 Determine b, given that b**3 + 0 + 0*b - 1/4*b**2 - 3/4*b**4 = 0. 0, 1/3, 1 Find m, given that 1/2*m - 1/4 - 1/2*m**3 + 0*m**2 + 1/4*m**4 = 0. -1, 1 Let k be (0/(3 + -5))/(-2). Let s(z) be the first derivative of 0*z**2 + 1/6*z**3 + k*z - 1. Let s(v) = 0. What is v? 0 Let h(d) = 4 + d - 16*d + 14*d**2 + d. Let z(a) = 27*a**2 - 28*a + 8. Let p(y) = 7*h(y) - 4*z(y). Solve p(r) = 0. 2/5, 1 Let i(j) = -j**3 + 4*j**2 - 3*j + 2. Let y be i(1). Suppose 0*q = 2*q. Solve -14/9*f**y - 4/9*f + q = 0. -2/7, 0 Factor -2*a - 2*a**4 - 2*a**3 - 2 + 12*a - 2*a**3 - 8*a + 2*a**5 + 4*a**2. 2*(a - 1)**3*(a + 1)**2 Let u = -1 + 3. Find w such that w - 5*w + u*w**2 - 10 + 10 = 0. 0, 2 Let u(f) = f**3 + 12*f**2 + 10*f - 2. Let n be u(-11). Let i(w) = -w + 9. Let z be i(n). Factor z*x**2 + 0 - 4/3*x**3 + 0*x**4 + 2/3*x + 2/3*x**5. 2*x*(x - 1)**2*(x + 1)**2/3 Factor 8/13*m**2 + 2/13*m**5 + 8/13*m**4 + 0 + 2/13*m + 12/13*m**3. 2*m*(m + 1)**4/13 Let p = -39 - -39. Let d(c) be the first derivative of -1/3*c**3 + 1/8*c**4 + p*c - 3 + 1/4*c**2. Factor d(i). i*(i - 1)**2/2 Let k(o) = 10*o**4 - 14*o**3 - 10*o**2 + 8*o. Let z(b) = 9*b**4 - 13*b**3 - 9*b**2 + 8*b. Let a(u) = 5*k(u) - 6*z(u). Find d such that a(d) = 0. -1, 0, 1, 2 Let k = 11 - 3. Let r be (-1)/k*(2 + -4). Solve 1/4*j**3 + r*j**4 + 0*j**2 + 0*j + 0 = 0. -1, 0 Let o(p) be the second derivative of -p**5/4 + 5*p**4/2 - 15*p**3/2 + 10*p**2 - 7*p. Factor o(x). -5*(x - 4)*(x - 1)**2 Suppose -5*m + 14 = -2*b, -2*b - 3*m + 11 = 41. Let y be b*(-1)/(-3)*-1. Factor -16/3 - y*z**2 + 8*z + 2/3*z**3. 2*(z - 2)**3/3 Let q(j) = -j + 7. Let o be q(3). Suppose o*i = i + u + 13, 0 = 3*i + 4*u - 8. What is b in -2*b**2 + 4/3*b + 0 + 0*b**3 + 2/3*b**i = 0? -2, 0, 1 Let v = -4 - -6. Suppose -4*c = -3*q - 8, -2*c + v*q = 6*q - 4. Suppose -2/7*j + 2/7*j**4 + 2/7*j**3 + 0 - 2/7*j**c = 0. What is j? -1, 0, 1 Let g(b) = b**2 + 5*b - 4. Let u be g(-6). Suppose 4*z - 20 = -q, q - 15 = 5*q - 3*z. Factor 2/3*p**4 + q*p + 0*p**u + 4/9*p**3 + 0. 2*p**3*(3*p + 2)/9 Let h(r) be the second derivative of r**7/63 - 8*r**6/135 + r**5/90 + 4*r**4/27 - 4*r**3/27 - 19*r. Solve h(g) = 0 for g. -1, 0, 2/3, 1, 2 Let z = -51 + 54. What is i in 0*i**2 + 0 + 2/17*i - 2/17*i**z = 0? -1, 0, 1 Let u be -3 + 4 +
{ "pile_set_name": "DM Mathematics" }
89, 2087, 2787, 3489, 4193? 4899 What comes next: -494, -485, -476, -467, -458? -449 What comes next: -74, -70, -66, -62? -58 What comes next: -58, -104, -180, -286? -422 What is next in 536, 1074, 1612? 2150 What is next in -3, 5, 35, 105, 233, 437, 735, 1145? 1685 What comes next: 545, 1091, 1639, 2189, 2741, 3295, 3851? 4409 What is next in 150, 300, 450, 600, 750? 900 What is next in 1539, 3072, 4617, 6180, 7767? 9384 What is the next term in -4185, -4175, -4151, -4107, -4037, -3935, -3795? -3611 What is next in 22, 76, 162, 280? 430 What is next in -14, -49, -128, -269, -490, -809? -1244 What is next in 144, 265, 384, 501, 616? 729 What is the next term in 10, 11, 10, 7, 2, -5? -14 What comes next: -18, -35, -38, -21, 22? 97 What comes next: -2947, -2950, -2953? -2956 What is the next term in 498, 497, 496, 495, 494? 493 What is next in -620, -621, -622, -623? -624 What comes next: 1082, 2164, 3246, 4328, 5410, 6492? 7574 What comes next: -27, -32, -41, -54, -71? -92 What is next in 62, 65, 68? 71 What is next in -368, -729, -1102, -1493, -1908, -2353, -2834, -3357? -3928 What is next in -62, -87, -128, -185, -258? -347 What is next in 8, 7, 8, 11, 16, 23, 32? 43 What comes next: -28, -39, -52, -61, -60, -43? -4 What is next in -810, -806, -798, -786, -770, -750? -726 What is next in -292, -300, -320, -358, -420, -512? -640 What comes next: 21, 135, 441, 1035, 2013, 3471, 5505, 8211? 11685 What is next in 133, 120, 93, 46, -27, -132? -275 What comes next: 54, 343, 1114, 2607, 5062, 8719, 13818? 20599 What is next in -45, -36, -17, 18, 75? 160 What comes next: -114, -95, -56, 9, 106, 241? 420 What is next in 540, 2135, 4802, 8547, 13376, 19295, 26310, 34427? 43652 What is the next term in -1102, -1100, -1096, -1090, -1082, -1072, -1060? -1046 What comes next: 56, 72, 88? 104 What comes next: -8, -45, -114, -221, -372? -573 What is next in -114, -224, -334, -444, -554, -664? -774 What is next in -73, -71, -69, -67, -65, -63? -61 What is the next term in 8, 22, 44, 74, 112, 158? 212 What is next in -31, -118, -207, -298, -391, -486? -583 What comes next: -74, -157, -254, -371, -514, -689, -902, -1159? -1466 What comes next: -10, -4, -2, -4, -10, -20, -34? -52 What is the next term in 7, 5, 3, 1, -1? -3 What is next in 8, 119, 422, 1013, 1988? 3443 What is next in 742, 744, 746, 748, 750, 752? 754 What is the next term in 133, 126, 107, 70, 9, -82? -209 What comes next: 11, 39, 87, 155, 243, 351, 479? 627 What is the next term in -31, -71, -119, -175? -239 What is next in 7, 7, 3, -5, -17, -33? -53 What is the next term in 324, 336, 362, 408, 480, 584? 726 What comes next: 4158, 8319, 12480, 16641? 20802 What comes next: -15, -69, -159, -285, -447, -645, -879? -1149 What is next in 262, 523, 784, 1045, 1306, 1567? 1828 What is next in 25, 13, -1, -17, -35, -55? -77 What is next in 895, 1796, 2701, 3610? 4523 What is next in 1264, 1263, 1262, 1261, 1260? 1259 What comes next: 19, 30, 39, 46, 51, 54, 55? 54 What is next in -354, -361, -366, -369? -370 What is the next term in -274, -256, -238, -220, -202, -184? -166 What comes next: -200, -205, -212, -221, -232, -245, -260? -277 What is next in -33, -40, -67, -126, -229, -388, -615? -922 What is next in 222, 213, 204, 195, 186? 177 What is next in -306, -307, -308? -309 What comes next: 14, 33, 48, 59, 66, 69? 68 What comes next: 53, 55, 57, 59? 61 What comes next: 1138, 2260, 3382, 4504, 5626? 6748 What is next in -12, -11, -16, -33, -68, -127? -216 What comes next: -105, -115, -125? -135 What is next in 3072, 3071, 3070, 3069, 3068? 3067 What comes next: -162, -165, -168, -171, -174, -177? -180 What is next in 696, 2796, 6296, 11196, 17496, 25196? 34296 What is next in 129, 250, 371, 492? 613 What is the next term in -12, -10, -2, 12? 32 What is the next term in -180, -177, -164, -135, -84, -5, 108? 261 What is the next term in 224, 222, 220, 218, 216, 214? 212 What is the next term in -259, -246, -209, -136, -15, 166, 419? 756 What is the next term in 62, 78, 108, 158, 234? 342 What is next in 64, 135, 206, 277, 348? 419 What comes next: 46, 53, 60, 67, 74, 81? 88 What is next in 17679, 17680, 17681? 17682 What is next in -77, -104, -117, -110, -77, -12, 91, 238? 435 What is the next term in -4900, -4913, -4942, -4993, -5072, -5185, -5338? -5537 What comes next: 3748, 7492, 11236, 14980, 18724, 22468? 26212 What is next in -451, -453, -455, -457, -459? -461 What comes next: 776, 779, 782, 785, 788? 791 What is the next term in 9, 4, -7, -24, -47? -76 What is next in -50, -170, -356, -608? -926 What is next in 5202, 5205, 5218, 5247, 5298, 5377, 5490? 5643 What comes next: 50, 55, 60? 65 What comes next: 49, 94, 141, 190? 241 What comes next: 32, 58, 70, 62, 28, -38, -142? -290 What is the next term in -1209, -2413, -3615, -4815, -6013, -7209? -8403 What is next in -2, 52, 152, 304, 514, 788, 1132, 1552? 2054 What is the next term in 114, 171, 228, 285, 342? 399 What is the next term in -47, -46, -35, -8, 41? 118 What comes next: 48, 100, 152? 204 What is next in 14, 21, 28, 35? 42 What comes next: 160, 161, 162? 163 What is next in -770, -758, -728, -674, -590? -470 What is next in 4, 22, 44, 70, 100? 134 What is the next term in -1198, -4699, -10542, -18733, -29278, -42183? -57454 What is next in -2692, -2698, -2706, -2716, -2728? -2742 What comes next: -76, -99, -136, -181, -228, -271? -304 What is next in 117, 115, 115, 117, 121, 127, 135? 145 What comes next: -68, -69, -70, -71, -72? -73 What comes next: 2060, 2064, 2068, 2072? 2076 What is next in 1072, 2144, 3216, 4288? 5360 What comes next: -986, -985, -984? -983 What comes next: 2802, 5604, 8406, 11208? 14010 What comes next: -270, -541, -812, -1083? -1354 What is next in -812, -811, -810, -809? -808 What is the next term in -1452, -2909, -4368, -5829, -7292? -8757 What is the next term in 79, 129, 213, 331? 483 What comes next: 50, 57, 70, 89, 114, 145? 182 What comes next: -192, -197, -202? -207 What comes next: 4, 13, 24, 37? 52 What is the next term in 136, 129, 108, 67, 0, -99? -236 What comes next: -6, -17, -30, -45? -62 What comes next: -38, -62, -98, -152, -230, -338, -482, -668? -902 What is next in -38, -51, -74, -107? -150 What is next in -150, -299, -448, -597? -746 What is next in 2079, 2080, 2081? 2082 What is the next term in -92, -75, -44, 7, 84, 193? 340 What is next in -129, -528, -1195, -2130, -3333, -4804, -6543? -8550 What is next in -118, -226, -334, -442, -550? -658 What comes next: -65, -125, -183, -239, -293? -345 What comes next: 14, 86, 206, 374, 590, 854, 1166? 1526 What is next in -29, 13, 77, 157, 247? 341 What is the next term in -58, -117, -174, -229, -282? -333 What comes next: -615, -618, -621? -624 What is the next term in 74, 44, -44, -220, -514, -956? -1576 What is the next term in 338, 314, 300, 302, 326, 378, 464, 590? 762 What is next in 3, -3, -17, -45, -93, -167, -273, -417? -605 What is next in -396, -387, -372, -351, -324, -291, -252? -207 What is the next term in -42336, -42337, -42338, -42339, -42340? -42341 What comes next: 1142, 2282, 3422, 4562, 5702, 6842? 7982 What comes next: -2, -12, -34, -74, -138, -232, -362? -534 What is the next term in 99, 202, 305, 408, 511? 614 What is next in 0, 23, 46, 69? 92 What is the next term in 32, 38, 42, 44? 44 What comes next: 57, 101, 155, 225, 317, 437, 591? 785 What comes next: -30, -37, -20, 33, 134? 295 What comes next: 1296, 1297, 1298, 1299, 1300, 1301? 1302 What is next in 130, 129, 128, 127, 126, 125? 124 What comes next: 99, 93, 83, 69, 51, 29? 3 What is the next term in -8, -9, -10? -11 What comes next: 18, 25, 42, 75, 130, 213? 330 What comes next: 246, 244, 242, 240? 238 What is next in -113, -148, -183, -218, -253? -288 What is the next term in -573, -570, -567, -564, -561? -558 What is next in -3, -113, -413, -999, -1967, -3413? -5433 What comes next: 62, 46, 30, 14, -2, -18? -34 What is next in 367, 364, 359, 352, 343, 332? 319 What is the next term in -46, -113, -184, -259? -338 What is next in -29, -34, -51, -86, -145, -234? -359 What comes next: -61, -229, -503, -883, -1369, -1961, -2659? -3463 What is the next term in 71, 138, 209, 284, 363, 446, 533? 624 What is next in -276, -1115, -2514, -4473? -6992 What is the next te
{ "pile_set_name": "DM Mathematics" }
+ 156163? -16832*s**3 Find the second derivative of -1640*h**2*r**2 + 8*h**2*r + 199*h*r**2 + 2*h*r - 6*h - r**2 wrt h. -3280*r**2 + 16*r What is the third derivative of p**3*z**3 - 6*p**3*z - 3*p**3 - 97805*p*z**5 - 3*p*z**2 - 372*p*z wrt z? 6*p**3 - 5868300*p*z**2 Find the second derivative of 54*d*g**2 + 6*d*g + 15*d - 708*g**2 - 236*g wrt g. 108*d - 1416 What is the third derivative of -283741*a**3 - 427031*a**2 wrt a? -1702446 What is the third derivative of 395409*s**5 + 4*s**3 - 868*s**2 - 5*s - 126? 23724540*s**2 + 24 What is the second derivative of -659517*k**4 - 2113999*k wrt k? -7914204*k**2 What is the third derivative of 2455798*y**3 + 37474*y**2 + 2*y - 1 wrt y? 14734788 What is the derivative of 169995*u**3 - 649882? 509985*u**2 What is the third derivative of -34431*c**4 - 2*c**3 + 9*c**2 + 9*c + 8? -826344*c - 12 Find the third derivative of -73*m**5 - 137*m**3 - 2*m**2 - 63*m - 289 wrt m. -4380*m**2 - 822 Differentiate 41613*c**2 + 45170 wrt c. 83226*c What is the second derivative of -2*n**4 - 256*n**3 - 4*n**2 + 86881*n wrt n? -24*n**2 - 1536*n - 8 Differentiate -398917*p**3*z - 617307*p**3 - 4*p**2*z + p - 2*z wrt z. -398917*p**3 - 4*p**2 - 2 What is the third derivative of -151*j**3*q*s - 3*j**3*q - 9*j**3*s + 30*j**3 - 2983*j**2*q*s - 2*j**2*s - j*s - 30*q wrt j? -906*q*s - 18*q - 54*s + 180 What is the second derivative of -10*q**2*w + 2278*q**2 - 49*q*w + q - 31*w wrt q? -20*w + 4556 What is the third derivative of -415*f**3*l - 35*f**3*w - 10*f**2*l*w - 2*f**2*w - 1136*f - 2*l wrt f? -2490*l - 210*w What is the first derivative of 590327*s**2 + 145109 wrt s? 1180654*s Find the second derivative of 350703*m**2 + m - 13758 wrt m. 701406 What is the third derivative of -245642*n**5 - 3*n**2 + 8297*n? -14738520*n**2 What is the third derivative of -103807*j**4 - 36885*j**2 + 2*j? -2491368*j Find the first derivative of 425*f**2 + 1124*f - 492309. 850*f + 1124 Find the second derivative of 78*i**2*k**3*y + 643*i**2*k*y**2 - 1056*i*k**3*y**2 - 2*i*k**2*y - 6*k**3*y wrt i. 156*k**3*y + 1286*k*y**2 What is the third derivative of -41*i*t**3 + 67*i - 41862*t**3 + 9801*t**2 wrt t? -246*i - 251172 Find the first derivative of 187*z**2 + 1081*z - 786565. 374*z + 1081 Find the third derivative of -25232*d**4 - 49*d**2 - 747*d wrt d. -605568*d What is the second derivative of -238*t**3*w + 3*t**3 + 58*t**2*w - t*w - 99*w - 5 wrt t? -1428*t*w + 18*t + 116*w Differentiate -137*p**2 + 165*p - 63579. -274*p + 165 What is the third derivative of -562784*f**4 - 604*f**2 - 290? -13506816*f What is the second derivative of -574684*t**2 + 805779*t wrt t? -1149368 Find the first derivative of 1080289*h**4 + 951029. 4321156*h**3 What is the third derivative of 429359*i**3*m**4 + i**3*m**2 - i**3*m - 5*i**3 + 217*i*m**2 + 28 wrt m? 10304616*i**3*m Find the third derivative of -135659*o**6 - 17636*o**2 + 4*o wrt o. -16279080*o**3 Differentiate 33539*b + 7429 wrt b. 33539 Find the third derivative of -61029*d**4 - 124771*d**2. -1464696*d What is the third derivative of -2*k**2*q**3 + k**2*t + k*q**3*t + 285*k*q**3 + 2*k*q**2*t - 10*k*q*t + 4*q**3 + q**2*t - 11*q**2 wrt q? -12*k**2 + 6*k*t + 1710*k + 24 Find the second derivative of 1003*b**2*o**3 + 2*b**2 - 30*b*o**3 - 393838*o wrt o. 6018*b**2*o - 180*b*o Find the second derivative of -g**2*t**3*x - 119*g**2*t**2 - 5*g**2*x**2 + 8*g*t**3 - 2*g*t - 3*t**2*x + 10*x**2 wrt g. -2*t**3*x - 238*t**2 - 10*x**2 What is the second derivative of -p**3*w**2 - 3160*p**3*w - 12*p**2 + 94*p*w**2 + 2*p*w - 63*w wrt p? -6*p*w**2 - 18960*p*w - 24 Find the second derivative of 3081926*k**2 + 227234*k + 5 wrt k. 6163852 Find the third derivative of -26*x**5 - 7394*x**4 + 874991*x**2. -1560*x**2 - 177456*x What is the second derivative of -22923*y**3 + 86*y + 162 wrt y? -137538*y Find the third derivative of 2263*b**3*t**2*w**3 + 25*b**3*t*w - 5*b**3*w**2 - 5*b**2*t - 52*t**3*w**3 - 95*t**3*w wrt w. 13578*b**3*t**2 - 312*t**3 What is the third derivative of -110*u**5 - 168*u**4 + 2*u**3 - 14190*u**2 + 2*u? -6600*u**2 - 4032*u + 12 What is the second derivative of -m*z**3 + 5243*m*z**2 - 306204*m*z + m + 8*z**3 wrt z? -6*m*z + 10486*m + 48*z Differentiate -381808*w - 197116 with respect to w. -381808 Find the second derivative of -15*b**4 - 78*b**3 - 29342*b - 3 wrt b. -180*b**2 - 468*b Find the third derivative of 1828972*b**2*y**3 + 30*b**2*y**2 - 3*b**2 + 855*y**2 wrt y. 10973832*b**2 What is the second derivative of -114778*m**2 + 126800*m wrt m? -229556 What is the derivative of -8661*o**4 + 75275? -34644*o**3 Find the first derivative of -201213*d**3*k + 1465*d**3*w + 3*d**2*k*w**3 - k*w wrt w. 1465*d**3 + 9*d**2*k*w**2 - k What is the second derivative of -8066*s**2 + 80645*s wrt s? -16132 Find the second derivative of -105*r**3*z**2 - 79*r**3 + 5*r**2*z**3 - 30*r*z**3 - 2*r*z - 26*z - 1 wrt r. -630*r*z**2 - 474*r + 10*z**3 What is the second derivative of 2*v**5 + 19964*v**4 + 2572*v - 14? 40*v**3 + 239568*v**2 Find the second derivative of -38*t**2*w**2*z**2 - 6*t**2*w*z - 8*t**2 + t*w**2*z**2 - 13*t*z + 7*w**2*z**2 + 9*w wrt t. -76*w**2*z**2 - 12*w*z - 16 What is the second derivative of 190114*p**4*t + p**3*t**2 + 21300*p*t**2 - 3*p*t - 2*t wrt p? 2281368*p**2*t + 6*p*t**2 What is the second derivative of -33557*w**4 - 1608*w - 20 wrt w? -402684*w**2 What is the second derivative of -244896*t**3 - 99164*t + 1? -1469376*t What is the third derivative of -2089*w**5 + w**2 + 6596*w? -125340*w**2 Find the second derivative of 8056*g**3*n**4 + 4*g**3 + 16*g*n - 2*n**4 + 38*n - 2 wrt n. 96672*g**3*n**2 - 24*n**2 What is the third derivative of -122046*g**4 - 3*g**3 - 3*g**2 - 1545*g? -2929104*g - 18 Find the third derivative of -83*u**5 + 455*u**4 - 80860*u**2 wrt u. -4980*u**2 + 10920*u What is the derivative of -9564*u**2 - 6*u + 382331? -19128*u - 6 Find the second derivative of 3*c**2*d**2*k + 723*c**2*d**2 - 8*c**2 + 118603*c*d + 2*c*k + d**2*k wrt c. 6*d**2*k + 1446*d**2 - 16 What is the third derivative of -28692*c**4 - 27*c**2 - 2384*c - 1 wrt c? -688608*c Find the third derivative of b**6 - 750637*b**5 + 190826*b**2 + 4. 120*b**3 - 45038220*b**2 Find the third derivative of 4127538*o**3 - 1772661*o**2 - 2*o. 24765228 Find the first derivative of -70*d**2*k**2 + 34*d**2*k + 2*d*k**2 + 95*k**2 + 321 wrt d. -140*d*k**2 + 68*d*k + 2*k**2 Find the second derivative of -5887188*b**2 - 26*b - 43181 wrt b. -11774376 What is the derivative of 679778*f**2*z - 1586338*f**2 wrt z? 679778*f**2 Differentiate 186*o**3*x + 18*o**3 + 3*o**2*x + o + 5*x - 210 with respect to x. 186*o**3 + 3*o**2 + 5 Find the second derivative of 48164*k**2*r**2 + 284277*k**2*r wrt r. 96328*k**2 What is the second derivative of 8*d**3*n - 9*d**3 + 3*d**2*n + 226*d**2 - 3*d*n - 121395*n wrt d? 48*d*n - 54*d + 6*n + 452 What is the second derivative of 20165*k**4 - 2*k**3 + 44*k**2 + 3225848*k wrt k? 241980*k**2 - 12*k + 88 What is the third derivative of -2614536*a**3 + 11*a**2 - a + 1833? -15687216 Find the third derivative of -31*f**5 + 5*f**4 - 32*f**3 - 5*f**2 + 26110*f wrt f. -1860*f**2 + 120*f - 192 Find the third derivative of -1195876*v**3 - v**2 - 23066*v. -7175256 What is the first derivative of 2*q**2*x + 632888*q**2 + 685*q*x + 31*x wrt x? 2*q**2 + 685*q + 31 Find the second derivative of 305219*k**3 + 125690*k. 1831314*k Differentiate -2*a**2*u - 3*a**2 + 2*a*u**2 - 87*a + 2502*u**2 + u - 27 with respect to a. -4*a*u - 6*a + 2*u**2 - 87 Find the third derivative of -87*b*d*i**3 + 2*b*d*i**2 - 3315*b*d*i + 46*b*i**3 - d*i + 4*i**3 - 6*i**2 wrt i. -522*b*d + 276*b + 24 What is the second derivative of 269*m**4*t - 442*m**2*t**3 + m*t**3 - 2*m*t**2 - m*t - 24*m - 299*t**2 wrt m? 3228*m**2*t - 884*t**3 What is the second derivative of 321*y**4 - 5272*y**2 - 1567119*y wrt y? 3852*y**2 - 10544 Find the second derivative of -h**2*n**2 + 279*h**2*n*w + 17*h**2*w**2 + h*n**2*w + 3*h*n*w**2 + 2*h*w - 237*n**2*w - n*w**2 wrt h. -2*n**2 + 558*n*w + 34*w**2 What is the third derivative of 2*c**2*m*s**2 - 3*c**2*s**3 - 154*c*m*s + 2*c*m + 345*m*s**3 - 29*m*s**2 - 610*s**4 + s**2 wrt s? -18*c**2 + 2070*m - 14640*s What is the third derivative of -1298*o*s**4 + o*s**3 + 73*o*s**2 + o*s + o + 9*s**3 - 1849*s**2 - 2 wrt s? -31152*o*s +
{ "pile_set_name": "DM Mathematics" }
9 Solve -19*p = 122*p + 33*p - 1392 for p. 8 Solve -83 + 65 - 510 = 88*i for i. -6 Solve 2 - 47 = 7*c - 17 for c. -4 Solve 910 = -208*b - 1778 - 848 for b. -17 Solve 119*l = 450*l + 7282 for l. -22 Solve -43*o - 195 = -840 for o. 15 Solve 1581*a - 51358 = -6109 - 2562 for a. 27 Solve 0 = -3620*m - 3625*m + 7240*m + 80 for m. 16 Solve 17 - 710 = 99*i for i. -7 Solve -1088*p = -1064*p - 432 for p. 18 Solve 30 = -23*h + 27 - 66 for h. -3 Solve 52 = -0*n - 10*n - 3*n for n. -4 Solve 4941 = 947*b - 764*b for b. 27 Solve 143*v + 1443 = 32*v for v. -13 Solve -49 = -183*j - 26 - 23 for j. 0 Solve 30*m + 37*m - 11*m + 840 = 0 for m. -15 Solve 273*n + 66*n - 4152 = -7*n for n. 12 Solve 37*x = 8775 - 8220 for x. 15 Solve 0 = -33*p + 120 - 217 - 266 for p. -11 Solve 7*k - 2833 = -2924 for k. -13 Solve 2*q + 304 = 296 for q. -4 Solve 0 = 200*n + 999 - 3199 for n. 11 Solve 1837 = -74*t - 93*t for t. -11 Solve -12*k + 123 = 37 - 226 for k. 26 Solve 169*d - 107*d = 0 for d. 0 Solve 2028*o = 2027*o - 8 for o. -8 Solve 0 = -834*n + 16934 - 254 for n. 20 Solve 1565*p = -1147*p - 97632 for p. -36 Solve -69*q - 185 + 267 + 539 = 0 for q. 9 Solve 67*i = -20908 + 19300 for i. -24 Solve 18547 = 496*z + 595*z for z. 17 Solve 2086*x = 2125*x - 390 for x. 10 Solve 49*r = 49*r + 147*r + 588 for r. -4 Solve 0 = -843*z - 4434 + 23823 for z. 23 Solve 0 = 20*w - 106 + 66 for w. 2 Solve -1321*f + 1256*f + 715 = 0 for f. 11 Solve 113*v = -33*v - 1168 for v. -8 Solve 15*i + 18*i - 88 = 25*i for i. 11 Solve -119*a = 114*a - 227*a + 102 for a. -17 Solve -7255*n + 7154*n - 1717 = 0 for n. -17 Solve -130*x + 193*x + 2928 = -59*x for x. -24 Solve -882*o = -831*o + 495 - 87 for o. -8 Solve 513 - 343 - 278 = 6*a for a. -18 Solve -15*u + 5*u - 10 = 0 for u. -1 Solve -8931 + 3590 = -1247*v + 4635 for v. 8 Solve -81*y + 78*y = -33 for y. 11 Solve -58*d - 744 = 97*d - 31*d for d. -6 Solve 2653 = 147*z + 301 for z. 16 Solve 5*q = -749 + 809 for q. 12 Solve 28*t = -1573*t + 5680 + 7128 for t. 8 Solve -387*s + 396*s + 63 = 0 for s. -7 Solve -16 = 2*f - 0*f - 4*f for f. 8 Solve -6 = -4*l + 8 + 6 for l. 5 Solve -2*m - 60 = 72 - 124 for m. -4 Solve -40 - 136 = 57*h - 13*h for h. -4 Solve 156 + 643 = 58*d + 161 for d. 11 Solve -425*i - 2688 = 1137 for i. -9 Solve 0 = 203*y - 412 - 2024 for y. 12 Solve -3*y - 51*y - 490 = -166 for y. -6 Solve 2735 = -125*i + 384*i + 288*i for i. 5 Solve 466 + 1302 = 136*o for o. 13 Solve 3826*x = 3887*x + 1037 for x. -17 Solve -749 = -19*m - 578 for m. 9 Solve 16*j + 451*j - 2186 - 616 = 0 for j. 6 Solve -r + 42 = 111 - 50 for r. -19 Solve 423*c = -62*c - 970 for c. -2 Solve 9*r + 77 - 32 = 0 for r. -5 Solve -5*x - x - 84 = 6*x for x. -7 Solve -57*i + 21*i - 51 = -19*i for i. -3 Solve -461*v = -452*v - 63 for v. 7 Solve 254 = 32*p + 163 - 293 for p. 12 Solve 7*d = -17*d + 274 + 230 for d. 21 Solve -227 - 17 = -57*t - 4*t for t. 4 Solve -91 = -3320*m + 3327*m for m. -13 Solve 89 - 1055 = -42*a for a. 23 Solve 307 = -399*j - 205*j - 297 for j. -1 Solve 52*y - 43*y - 30 + 111 = 0 for y. -9 Solve 2710 = -350*k + 9360 for k. 19 Solve -3874*p - 258 = -3831*p for p. -6 Solve 25*a - 31*a + a + 135 = 0 for a. 27 Solve -28*h - 47*h + 98 = 173 for h. -1 Solve -64*n = 126*n + 1794 + 2196 for n. -21 Solve -4*c + 1958 = 1910 for c. 12 Solve 500 = -15*h + 305 for h. -13 Solve 3299 + 1349 = -581*w for w. -8 Solve -296*n + 984 - 263 + 759 = 0 for n. 5 Solve 6*y + 44 = 143 - 33 for y. 11 Solve -14*l - 1476 + 462 = -53*l for l. 26 Solve 11*g + 4*g - 3*g = -168 for g. -14 Solve -41*o - 29547 = -29834 for o. 7 Solve -4*x + 72 = 4*x - 0*x for x. 9 Solve 577 = 24*k + 625 for k. -2 Solve 490 = 402*c - 367*c for c. 14 Solve -25*y = 146 + 267 - 88 for y. -13 Solve 253 + 488 = 40*o + 141 for o. 15 Solve 7*u + 29 = 34 - 26 for u. -3 Solve 165*y - 24*y = -81*y - 1554 for y. -7 Solve 60949 = 43*x + 60691 for x. 6 Solve -140 = 153*q + 166 for q. -2 Solve -3*g - 4 + 25 = -12 for g. 11 Solve 13*o - 40605 = -40501 for o. 8 Solve 245*y + 170*y = -7470 for y. -18 Solve -315 = -34*h + 35*h - 36*h for h. 9 Solve -261 = -254*j - 1277 for j. -4 Solve 7*v = -5 - 27 + 4 for v. -4 Solve 36*n + 2962 - 2818 = 0 for n. -4 Solve -20*l - 2401 = -2201 for l. -10 Solve 0 = 1014*j - 1010*j - 96 for j. 24 Solve 4380*y = 4286*y - 1786 for y. -19 Solve 6*l - 143 = l - 8*l for l. 11 Solve 74*m - 461 = 974 - 399 for m. 14 Solve -195906*r - 60 = -195900*r for r. -10 Solve 396*k + 47323 = -883*k for k. -37 Solve -36 = 14*i + 120 + 320 for i. -34 Solve 0 = 3811*w - 3611*w + 4400 for w. -22 Solve -5*o + 403 = 318 for o. 17 Solve 30*w + 86947 = 87397 for w. 15 Solve -118 = 218*v - 277*v for v. 2 Solve 124 = -4*o + 92 for o. -8 Solve 643 = -2*j + j + 631 for j. -12 Solve 28*g + 39298 = 39242 for g. -2 Solve 33*r + 42*r = 21*r - 378 for r. -7 Solve 136*k = 1326 + 442 for k. 13 Solve 54*o - 168*o + 228 = 0 for o. 2 Solve -489 = -0*x - 55*x + 116 for x. 11 Solve -84*z - 144 - 182 = 346 for z. -8 Solve 72*p + 2492 = 3788 for p. 18 Solve -29 + 54 = 4*l - 3 for l. 7 Solve -12*t + 31*t - 30 = 14*t for t. 6 Solve 0 = 44*b - 21*b for b. 0 Solve -46*x - 180 = 2*x - 12*x for x. -5 Solve -84*m + 1155 - 63 = 0 for m. 13 Solve -52*c + 385 = -31 for c. 8 Solve 84*q + 1235 = 59*q - 40*q for q. -19 Solve 2422*k + 3480 = 2770*k for k. 10 Solve -17*p + 50 - 146 = -5*p for p. -8 Solve 0 = -173*s + 1345 + 1077 for s. 14 Solve -109*x - 20*x + 1015 + 920 = 0 for x. 15 Solve 415*i + 399 = 394*i for i. -19 Solve -5*s + 5 + 20 = 0 for s. 5 Solve -3009 + 881 = 304*l for l. -7 Solve 640*s + 10087 = -801*s for s. -7 Solve 107*l = 213 - 37 + 252 for l. 4 Solve 51*l = -16010 + 16775 for l. 15 Solve 52*i + 98*i + 768 = 22*i for i. -6 Solve 0 = 349*d - 392*d for d. 0 Solve 1287*d - 1221*d = 396 for d. 6 Solve 3556869*m = 3556913*m + 1804 for m. -41 Solve 60*u = 112*u + 676 for u. -13 Solve -179*k + 172*k = -84 for k. 12 Solve q - 138 = -34*q + 2 for q. 4 Solve 26*g = -43956 + 44554 for g. 23 Solve 8*t - 451 + 313 = -322 for t. -23 Solve -90*y - 879 = 94 + 647 for y. -18 Solve 266*p + 2771 = 103*p for p. -17 Solve 9*x = -11964 + 11775 for x. -21 Solve 292*z + 636 + 5 = -235 for z. -3 Solve -185*j = 579*j - 3056 for j. 4 Solve 169 = 12*y + 13 for y. 13 Solve -8*u = -2*u - 3*u + 15 for u. -5 Solve -218*p = -336*p + 1298 for p. 11 Solve 0 = 10575*w - 10498*w - 1771 for w. 23 Solve 91*k - 2529 = 341*k + 1971 for k. -18 Solve -33 = -13859*v + 13892*v for v. -1 Solve 18*d = 273*d + 30*d - 1140 for d. 4 Solve 2424*s = 2299*s + 3250 for s. 26 Solve -66*b - 268 + 77 = -1379 for b. 18 Solve -15*f - 29 + 179 = -40*f for f. -6 Solve 495*s = -16 - 479 for s. -1 Solve -529*v + 677 - 5967 = 0 for v. -10 Solve -62 + 129 - 67 = 19*o for o. 0 Solve 7*c + 6*c - 15 = 24 for c. 3 Solve -668 = -143*t - 94*t + 754 for t. 6 Solve 0 = -25*m - 46*m - 250 - 460 for m. -10 Solve -6*w = -3 + 27 for w. -4 Solve -94*r - 1148 = 7*r + 63*r for r. -7 Solve 1497 + 1153 = 144*v + 778 for v. 13 Solve 0 = -649*r + 371*r - 585*r + 31931 for r. 37 Solve -996 = 1516*s + 709 + 5875 for s. -5 Solve 1050 + 228 = 71*w for w. 18 Solve -89*u - 73*u + 340 = -182*u for u. -17 Solve 5*x - 71566 + 71506 = 0 for x. 12 Solve 779 = -81*f - 18*f - 211 for f. -10 Solve -t + 38 - 74 = -48 for t. 12 Solve -1642*k + 1605*k - 222 = 0 for k. -6 Solve 73 = 49*f + 759 for f. -14 Solve 46*y = 106 - 520 for y. -9 Solve 431*x = -436*x + 842*x + 525 for x. 21 Solve -1359 = 24*m - 2942 + 1127 for m. 19 Solve 0 = -18*x + 1655 - 1745 for x. -5 Solve 0 = -318*i + 172*i + 1022 for i. 7 Solve 399 - 543 = -18*a for a. 8 Solve -21*l + l - 397 = 3 for l. -20 Solve -230*w = -966 - 2107 - 607 for w. 16 Solve -55*z - 203 - 466 = 266 for z. -17 Solve -64*i - 84 = 807 - 59 for i. -13 Solve 111*q = 28*q + 332 for q. 4 Solve 0 = 68*o + 1686 - 2434 for o. 11 Solve 263 = 56*u - 212*u - 49 for u. -2 Solve -75*y - 15*y = -900 for y. 10 Solve -22 - 491 - 12 = 35*i for i. -15 Solve -148*u - 6422 = 190*u for u. -19 Solve 0 = -79*m + 26*m - 460 + 513 for m. 1 Solve 1030 = 21*v + 82*v for v. 10 Solve 0 = 34*n + 345 - 86 + 149 for n. -12 Solve 278 + 289 + 81 = -162*n for n. -4 Solve 0 = -78*c - 14361 + 14283 for c. -1 Solve -605 - 361 = 74*y - 152 for y. -11 Solve 934*n = -407*n + 14751 for n. 11 Solve 432*p - 923 - 261 - 976 = 0 for p. 5 Solv
{ "pile_set_name": "DM Mathematics" }
micrometers are there in 828.0754km? 828075400000 Convert 713.2212 grams to milligrams. 713221.2 How many millimeters are there in 18/5 of a centimeter? 36 How many weeks are there in 5.162913 hours? 0.030731625 How many kilograms are there in thirteen eighths of a tonne? 1625 What is three fifths of a gram in milligrams? 600 How many meters are there in five quarters of a kilometer? 1250 Convert 0.7893669 millennia to decades. 78.93669 What is 82.96013 centuries in millennia? 8.296013 What is thirty-seven halves of a microgram in nanograms? 18500 How many tonnes are there in 8.405318ug? 0.000000000008405318 How many years are there in 11/4 of a millennium? 2750 What is 84.08509km in nanometers? 84085090000000 Convert 506.6772 kilograms to grams. 506677.2 What is 140670715.5 microseconds in weeks? 0.00023259046875 Convert 949591.2 centimeters to kilometers. 9.495912 What is seventy-three fifths of a kilometer in meters? 14600 What is 21/4 of a tonne in kilograms? 5250 How many decades are there in 29.94829 millennia? 2994.829 What is 1/5 of a litre in millilitres? 200 How many millilitres are there in five quarters of a litre? 1250 What is 8.379089 decades in months? 1005.49068 How many millilitres are there in 69.94874l? 69948.74 What is 48/5 of a century in months? 11520 How many micrometers are there in 85.45245cm? 854524.5 What is 15/4 of a meter in centimeters? 375 How many months are there in 13/5 of a millennium? 31200 What is nine tenths of a micrometer in nanometers? 900 How many milligrams are there in seventeen halves of a gram? 8500 Convert 51.32617 millilitres to litres. 0.05132617 How many milligrams are there in fifty-nine fifths of a gram? 11800 Convert 1051.4298 months to years. 87.61915 What is 5/8 of a kilogram in grams? 625 Convert 839494.2mg to grams. 839.4942 Convert 605.451 millilitres to litres. 0.605451 Convert 6.507746 micrograms to milligrams. 0.006507746 Convert 0.3736888ml to litres. 0.0003736888 How many kilograms are there in 6.046704mg? 0.000006046704 What is 674391.15 milliseconds in hours? 0.187330875 What is nine tenths of a litre in millilitres? 900 How many days are there in 23468.67 nanoseconds? 0.000000000271628125 How many kilometers are there in 7777.584m? 7.777584 How many nanometers are there in one sixteenth of a millimeter? 62500 How many minutes are there in 1/24 of a day? 60 Convert 71246.46 grams to micrograms. 71246460000 How many millimeters are there in 21/8 of a meter? 2625 What is 0.389802l in millilitres? 389.802 What is 6809.338ml in litres? 6.809338 Convert 13893975.9us to weeks. 0.00002297284375 Convert 0.3404558um to meters. 0.0000003404558 How many decades are there in 18/5 of a millennium? 360 Convert 2391.84333 seconds to days. 0.027683371875 What is 92369.86ml in litres? 92.36986 How many millilitres are there in 910.9339l? 910933.9 What is 6/25 of a kilometer in centimeters? 24000 Convert 1084.51 centuries to decades. 10845.1 Convert 5093.487 centuries to decades. 50934.87 How many millilitres are there in 1/5 of a litre? 200 What is fifteen quarters of a litre in millilitres? 3750 How many milliseconds are there in 2.809116 seconds? 2809.116 Convert 435040.3 seconds to milliseconds. 435040300 What is 2592.17 milligrams in grams? 2.59217 What is 43.27937 millilitres in litres? 0.04327937 What is 882.3627 micrometers in meters? 0.0008823627 What is 37/2 of a week in hours? 3108 What is eleven tenths of a millennium in months? 13200 Convert 83.29836 decades to millennia. 0.8329836 What is 3/8 of a decade in months? 45 What is 681.3303ml in litres? 0.6813303 What is one tenth of a kilogram in grams? 100 Convert 210310.65 months to decades. 1752.58875 Convert 731.4371t to kilograms. 731437.1 Convert 75104.31s to milliseconds. 75104310 What is 327308.6 tonnes in nanograms? 327308600000000000000 How many hours are there in 45667.63 weeks? 7672161.84 Convert 35941.86mm to meters. 35.94186 What is 5/4 of a litre in millilitres? 1250 How many milligrams are there in one quarter of a gram? 250 Convert 88910.08mg to tonnes. 0.00008891008 How many millilitres are there in 17/2 of a litre? 8500 How many litres are there in 3.567513 millilitres? 0.003567513 What is 1/5 of a milligram in micrograms? 200 What is 3/25 of a litre in millilitres? 120 How many milliseconds are there in 7.061157 weeks? 4270587753.6 What is five quarters of a gram in milligrams? 1250 How many nanograms are there in 25/4 of a microgram? 6250 How many months are there in 0.78953 decades? 94.7436 How many seconds are there in 266.274 minutes? 15976.44 How many months are there in 1/4 of a century? 300 How many minutes are there in thirty-three fifths of a hour? 396 How many years are there in eighteen fifths of a century? 360 What is 198368.8 grams in tonnes? 0.1983688 How many milligrams are there in 3/8 of a gram? 375 How many nanoseconds are there in fourty-six fifths of a microsecond? 9200 How many decades are there in 39041.2 years? 3904.12 What is 2.845095 kilograms in nanograms? 2845095000000 Convert 86.51054 centuries to millennia. 8.651054 What is twenty-five quarters of a week in hours? 1050 What is three sixteenths of a centimeter in micrometers? 1875 How many kilograms are there in eleven quarters of a tonne? 2750 What is 2303.862 weeks in hours? 387048.816 What is 3/10 of a gram in milligrams? 300 How many milliseconds are there in 103081.5 seconds? 103081500 How many micrometers are there in three fifths of a millimeter? 600 How many meters are there in 0.3860529nm? 0.0000000003860529 What is four fifteenths of a hour in seconds? 960 What is eleven tenths of a litre in millilitres? 1100 What is 15.51687 nanometers in meters? 0.00000001551687 What is three eighths of a tonne in kilograms? 375 How many millilitres are there in one fifth of a litre? 200 What is fifty-one halves of a kilogram in grams? 25500 Convert 1.048879 grams to nanograms. 1048879000 What is 67/5 of a century in decades? 134 What is twenty-six fifths of a decade in months? 624 How many millilitres are there in three eighths of a litre? 375 What is 11/4 of a kilometer in meters? 2750 How many litres are there in 57343.68 millilitres? 57.34368 How many meters are there in thirteen fifths of a kilometer? 2600 How many months are there in 4/15 of a millennium? 3200 How many milliseconds are there in 5.211676 days? 450288806.4 Convert 0.8751312l to millilitres. 875.1312 What is 30/7 of a week in minutes? 43200 How many minutes are there in eighteen fifths of a hour? 216 What is 0.1111992 kilograms in tonnes? 0.0001111992 How many millilitres are there in fifteen quarters of a litre? 3750 How many centimeters are there in 6/25 of a kilometer? 24000 What is 316.1184 days in microseconds? 27312629760000 How many hours are there in three sevenths of a week? 72 What is 4.60259ml in litres? 0.00460259 How many years are there in 93.52281 months? 7.7935675 How many kilograms are there in 43143.97 milligrams? 0.04314397 How many milligrams are there in thirteen fifths of a gram? 2600 How many days are there in 673.83216 minutes? 0.467939 Convert 12.3924 millennia to years. 12392.4 How many millilitres are there in 0.9832941 litres? 983.2941 Convert 1964.544ml to litres. 1.964544 What is 47577.86mm in micrometers? 47577860 How many years are there in 954432.5 decades? 9544325 What is 24.50335 millilitres in litres? 0.02450335 What is 7.071701 days in hours? 169.720824 How many decades are there in 0.8052978 months? 0.006710815 How many grams are there in 254168.2 milligrams? 254.1682 How many grams are there in 3/8 of a kilogram? 375 How many nanograms are there in twenty-six fifths of a microgram? 5200 What is three tenths of a tonne in kilograms? 300 How many millilitres are there in 27/2 of a litre? 13500 How many micrograms are there in 3/5 of a milligram? 600 How many nanometers are there in 75/2 of a micrometer? 37500 How many seconds are there in five quarters of a minute? 75 Convert 0.9182469ml to litres. 0.0009182469 How many micrometers are there in fifteen quarters of a millimeter? 3750 What is 3/50 of a kilometer in millimeters? 60000 How many litres are there in 5.831413 millilitres? 0.005831413 What is 5/4 of a millennium in decades? 12
{ "pile_set_name": "DM Mathematics" }
47129, 254175? 1176*a**3 + a**2 + 19*a + 9 What is the r'th term of -1861, -1852, -1833, -1804, -1765, -1716, -1657? 5*r**2 - 6*r - 1860 What is the z'th term of -2978, -2969, -2960, -2951, -2942? 9*z - 2987 What is the d'th term of -169127, -338257, -507387, -676517, -845647? -169130*d + 3 What is the d'th term of 71, 99, 111, 101, 63, -9, -121, -279? -d**3 - 2*d**2 + 41*d + 33 What is the g'th term of -125, -365, -767, -1331, -2057, -2945? -81*g**2 + 3*g - 47 What is the t'th term of -99, -30, 39? 69*t - 168 What is the d'th term of -16812, -33733, -50654, -67575? -16921*d + 109 What is the j'th term of 3602, 7226, 10902, 14654, 18506, 22482? 4*j**3 + 2*j**2 + 3590*j + 6 What is the d'th term of 1917, 3420, 4923, 6426? 1503*d + 414 What is the g'th term of 1771, 7082, 15933, 28324, 44255, 63726, 86737? 1770*g**2 + g What is the s'th term of -94, -81, -66, -49, -30, -9? s**2 + 10*s - 105 What is the q'th term of -726064, -1452125, -2178186, -2904247? -726061*q - 3 What is the h'th term of -259, -277, -83, 323, 941, 1771? 106*h**2 - 336*h - 29 What is the f'th term of -427, -1629, -3639, -6457, -10083, -14517, -19759? -404*f**2 + 10*f - 33 What is the r'th term of 6644, 6640, 6636, 6632, 6628, 6624? -4*r + 6648 What is the s'th term of 1226, 2299, 3362, 4409, 5434? -s**3 + s**2 + 1077*s + 149 What is the j'th term of 113382, 226761, 340140, 453519, 566898? 113379*j + 3 What is the f'th term of 620, 1364, 3368, 7262, 13676, 23240, 36584? 105*f**3 + 9*f + 506 What is the p'th term of 137, 148, 159? 11*p + 126 What is the c'th term of -64, -200, -426, -742? -45*c**2 - c - 18 What is the i'th term of -323074, -323079, -323084, -323089, -323094? -5*i - 323069 What is the z'th term of 2169388, 4338776, 6508164, 8677552, 10846940, 13016328? 2169388*z What is the r'th term of -3532, -3594, -3698, -3844, -4032, -4262? -21*r**2 + r - 3512 What is the y'th term of -1712, -13741, -46412, -110045, -214960, -371477, -589916? -1720*y**3 - y**2 + 14*y - 5 What is the u'th term of -206, -190, -172, -152, -130? u**2 + 13*u - 220 What is the n'th term of 133, 188, 285, 424, 605? 21*n**2 - 8*n + 120 What is the d'th term of -2014, -1984, -1964, -1960, -1978, -2024, -2104? -d**3 + d**2 + 34*d - 2048 What is the s'th term of 81, 255, 535, 921, 1413, 2011? 53*s**2 + 15*s + 13 What is the x'th term of -230, -969, -2208, -3947? -250*x**2 + 11*x + 9 What is the h'th term of 3413241, 6826480, 10239719? 3413239*h + 2 What is the x'th term of -1165, -4643, -10447, -18577, -29033, -41815, -56923? -1163*x**2 + 11*x - 13 What is the m'th term of 3088, 6172, 9258, 12346? m**2 + 3081*m + 6 What is the l'th term of 43574, 43588, 43614, 43658, 43726, 43824, 43958? l**3 + 7*l + 43566 What is the l'th term of -88665, -88670, -88675? -5*l - 88660 What is the m'th term of -19, 118, 457, 1088, 2101, 3586, 5633? 15*m**3 + 11*m**2 - m - 44 What is the i'th term of -624960, -1249924, -1874890, -2499858, -3124828, -3749800? -i**2 - 624961*i + 2 What is the v'th term of -25969, -51602, -77223, -102826, -128405? v**3 - 25640*v - 330 What is the x'th term of 52, 158, 298, 448, 584? -4*x**3 + 41*x**2 + 11*x + 4 What is the z'th term of -446, -1342, -2676, -4448, -6658? -219*z**2 - 239*z + 12 What is the u'th term of 724496, 1448992, 2173488, 2897984, 3622480? 724496*u What is the j'th term of 1083, 2044, 3023, 4026, 5059? j**3 + 3*j**2 + 945*j + 134 What is the j'th term of -188, -262, -226, -86, 152, 482? -j**3 + 61*j**2 - 250*j + 2 What is the h'th term of -5723, -5738, -5775, -5846, -5963, -6138, -6383, -6710? -2*h**3 + h**2 - 4*h - 5718 What is the i'th term of 8675, 8674, 8673, 8672? -i + 8676 What is the p'th term of -526, -1058, -1592, -2128, -2666? -p**2 - 529*p + 4 What is the q'th term of -2407, -4822, -7237, -9652, -12067? -2415*q + 8 What is the f'th term of 1070, 2143, 3216, 4289, 5362? 1073*f - 3 What is the z'th term of -597, -1201, -1801, -2397? 2*z**2 - 610*z + 11 What is the d'th term of 0, 1045, 3888, 9429, 18568, 32205, 51240, 76573? 150*d**3 - d**2 - 2*d - 147 What is the n'th term of -2236, -2266, -2304, -2350? -4*n**2 - 18*n - 2214 What is the r'th term of -2636, -4941, -7246, -9551? -2305*r - 331 What is the p'th term of -716033, -716043, -716065, -716105, -716169, -716263? -p**3 - 3*p - 716029 What is the k'th term of -3864, -3561, -3258? 303*k - 4167 What is the v'th term of 1030, 2612, 4194? 1582*v - 552 What is the o'th term of 47, 110, 195, 296, 407, 522? -o**3 + 17*o**2 + 19*o + 12 What is the k'th term of 6405, 12808, 19207, 25602? -2*k**2 + 6409*k - 2 What is the z'th term of 92970, 92963, 92940, 92895, 92822, 92715, 92568? -z**3 - 2*z**2 + 6*z + 92967 What is the n'th term of 1209357, 2418719, 3628079, 4837437? -n**2 + 1209365*n - 7 What is the g'th term of -412, -452, -492, -532? -40*g - 372 What is the g'th term of -71802, -287153, -646072, -1148559, -1794614, -2584237? -71784*g**2 + g - 19 What is the u'th term of 713, 1410, 2107? 697*u + 16 What is the x'th term of -880, -3712, -8432, -15040, -23536? -944*x**2 + 64 What is the r'th term of -2031, -4072, -6113? -2041*r + 10 What is the c'th term of 39809, 79718, 119627, 159536, 199445? 39909*c - 100 What is the d'th term of -45955, -91913, -137871? -45958*d + 3 What is the z'th term of 161, 576, 1235, 2132, 3261? -z**3 + 128*z**2 + 38*z - 4 What is the f'th term of 60877, 60875, 60873, 60871, 60869, 60867? -2*f + 60879 What is the m'th term of -83, -153, -227, -311, -411? -m**3 + 4*m**2 - 75*m - 11 What is the v'th term of 284668, 569353, 854038? 284685*v - 17 What is the k'th term of 24848, 24850, 24852? 2*k + 24846 What is the q'th term of 300, 182, 64, -54, -172? -118*q + 418 What is the i'th term of -272, -2351, -4430, -6509, -8588, -10667? -2079*i + 1807 What is the z'th term of 4495, 4474, 4445, 4402, 4339, 4250? -z**3 + 2*z**2 - 20*z + 4514 What is the s'th term of -2992, -2978, -2970, -2974, -2996, -3042, -3118, -3230? -s**3 + 3*s**2 + 12*s - 3006 What is the x'th term of -347, -1439, -3255, -5789, -9035, -12987? x**3 - 368*x**2 + 5*x + 15 What is the c'th term of -19455, -19452, -19455, -19470, -19503? -c**3 + 3*c**2 + c - 19458 What is the o'th term of 81, 76, 53, 18, -23, -64? o**3 - 15*o**2 + 33*o + 62 What is the w'th term of 2701, 5393, 8087, 10783, 13481, 16181, 18883? w**2 + 2689*w + 11 What is the s'th term of -31296, -31271, -31246? 25*s - 31321 What is the g'th term of -94, -50, 22, 122? 14*g**2 + 2*g - 110 What is the k'th term of -108, -245, -432, -687, -1028? -3*k**3 - 7*k**2 - 95*k - 3 What is the t'th term of 1374, 1709, 2260, 3021, 3986? -t**3 + 114*t**2 + 1261 What is the l'th term of -17156, -17147, -17138, -17129? 9*l - 17165 What is the p'th term of -182, -171, -142, -89, -6, 113? p**3 + 3*p**2 - 5*p - 181 What is the o'th term of 829, 2007, 3481, 5257, 7341? o**3 + 142*o**2 + 745*o - 59 What is the m'th term of -613, -598, -583? 15*m - 628 What is the n'th term of 6372, 6383, 6396, 6411, 6428, 6447? n**2 + 8*n + 6363 What is the u'th term of 41375, 82749, 124123, 165497? 41374*u + 1 What is the d'th term of 40, 20, -52, -206, -472? -5*d**3 + 4*d**2 + 3*d + 38 What is the y'th term of 23, 10, 3, 2, 7? 3*y**2 - 22*y + 42 What is the a'th term of -2198, -2189, -2180, -2171, -2162, -2153? 9*a - 2207 What is the j'th term of 1618, 6502, 14640, 26032, 40678, 58578, 79732? 1627*j**2 + 3*j - 12 What is the h'th term of 1077, 926, 511, -300, -1639, -3638, -6429, -10144? -22*h**3 + 3*h + 1096 What is the u'th term of 7581020, 7581019, 7581018, 7581017? -u + 7581021 What is the k'th term of 1737918, 1737915, 1737910, 1737903, 1737894, 1737883, 1737870? -k**2 + 1737919 What is the b'th term of 612154, 612155, 612156, 612157? b + 612153 What is the b'th term of 2181, 2305, 2447, 2607, 2785, 2981, 3195? 9*b**2 + 97*b + 2075 What is the i'th term of 198010, 396018, 594026? 198008*i + 2 What is the p'th term of 698, 646, 520, 284, -98? -6*p**3 - p**2 - 7*p + 712 What is the d'th term of 18, 5, 12, 45, 110, 213, 360? d**3 + 4*d**2 - 32*d + 45 What is the b'th term of 631, 5473, 18667, 44389, 86815? 696*b**3 - 30*b - 35 What is the t'th term of 8716358, 8716357, 8716356? -t + 8716359 What is the t'th term of 4341, 8699, 13055, 17409? -t**2 + 4361*t - 19 What is the a'th term of 33017, 3301
{ "pile_set_name": "DM Mathematics" }
he highest common divisor of 2156 and 30987? 11 Calculate the highest common factor of 42519 and 3. 3 Calculate the highest common divisor of 20 and 18. 2 What is the greatest common factor of 29554 and 42? 14 What is the greatest common factor of 5348 and 49? 7 What is the greatest common factor of 9639 and 819? 63 What is the highest common divisor of 45526 and 170? 34 Calculate the highest common divisor of 66 and 809226. 66 Calculate the greatest common divisor of 1099 and 32499. 157 What is the highest common factor of 32785 and 15355? 415 What is the greatest common divisor of 22688 and 32? 32 Calculate the greatest common divisor of 12712 and 104. 8 What is the highest common divisor of 999 and 2968695? 333 What is the highest common factor of 30392 and 12528? 232 Calculate the highest common factor of 837 and 5177. 31 What is the greatest common divisor of 21 and 2044? 7 Calculate the highest common factor of 5909 and 25099. 19 What is the highest common divisor of 16 and 49224? 8 Calculate the greatest common factor of 48024 and 8758. 58 Calculate the highest common factor of 1746 and 69064. 194 Calculate the highest common divisor of 450 and 33850. 50 What is the greatest common factor of 35 and 321545? 35 What is the highest common divisor of 4210 and 473204? 842 What is the highest common factor of 6139840 and 10? 10 What is the highest common factor of 907061 and 17410? 1741 Calculate the greatest common divisor of 2601074 and 5264. 658 Calculate the greatest common factor of 665 and 46445. 35 What is the highest common factor of 418047 and 1479? 51 Calculate the highest common divisor of 51 and 324343. 17 What is the greatest common divisor of 12283713 and 1742? 871 Calculate the greatest common divisor of 100644 and 24. 12 What is the highest common factor of 62 and 949282? 62 Calculate the highest common divisor of 67608 and 6. 6 What is the greatest common divisor of 1597540 and 448? 28 Calculate the greatest common factor of 18492 and 153564. 804 What is the highest common divisor of 1317 and 8821705? 439 What is the highest common divisor of 5362 and 30506? 14 What is the greatest common factor of 2662 and 1342? 22 What is the highest common factor of 30 and 7242? 6 What is the highest common divisor of 14641 and 352? 11 Calculate the greatest common divisor of 90 and 6418. 2 Calculate the greatest common factor of 4056 and 71318. 338 Calculate the greatest common divisor of 3484 and 97994. 26 Calculate the greatest common factor of 2650 and 420025. 1325 Calculate the greatest common divisor of 1236 and 159032. 412 What is the highest common divisor of 150 and 2157? 3 Calculate the highest common factor of 37727 and 62. 31 Calculate the highest common factor of 825 and 19415. 55 What is the greatest common divisor of 20320 and 159512? 1016 Calculate the highest common divisor of 66 and 66678. 6 Calculate the greatest common factor of 1048 and 100. 4 What is the greatest common factor of 13800 and 4650? 150 What is the highest common divisor of 20 and 7810? 10 What is the greatest common divisor of 159 and 5967? 3 Calculate the highest common factor of 53977 and 385. 77 Calculate the greatest common divisor of 60 and 14340. 60 What is the greatest common divisor of 42 and 808? 2 Calculate the greatest common divisor of 36308 and 788. 4 What is the greatest common factor of 155 and 49817? 31 What is the highest common factor of 25 and 331350? 25 Calculate the greatest common factor of 118 and 865294. 118 What is the highest common divisor of 32435 and 136726? 499 Calculate the highest common factor of 130622 and 5302. 482 Calculate the highest common divisor of 50305 and 175. 5 What is the highest common divisor of 6345 and 16450? 235 What is the greatest common divisor of 486 and 3132? 54 Calculate the greatest common factor of 13282 and 1566. 58 What is the highest common divisor of 508 and 557657? 127 What is the highest common divisor of 298 and 41869? 149 Calculate the greatest common divisor of 9783 and 603. 9 Calculate the greatest common divisor of 56 and 68936. 56 What is the greatest common divisor of 5008104 and 72? 72 Calculate the greatest common divisor of 273 and 29562. 39 Calculate the highest common divisor of 117992 and 43. 43 Calculate the highest common divisor of 58 and 4729436. 58 Calculate the highest common divisor of 3568 and 600. 8 What is the highest common divisor of 12141 and 36352? 71 What is the greatest common factor of 91112 and 84? 28 What is the greatest common factor of 43560 and 5220? 180 Calculate the greatest common divisor of 16300 and 75. 25 What is the greatest common divisor of 162568 and 28? 28 What is the greatest common factor of 114048 and 57420? 396 What is the highest common divisor of 111 and 1149? 3 What is the greatest common divisor of 852 and 238844? 284 What is the highest common divisor of 27688 and 1632? 8 Calculate the greatest common divisor of 354 and 117056. 118 Calculate the greatest common divisor of 825 and 75669. 33 Calculate the highest common factor of 46 and 165853. 23 What is the greatest common factor of 8 and 13727864? 8 What is the highest common factor of 4554 and 1008? 18 What is the greatest common divisor of 654 and 8802? 6 What is the greatest common factor of 1026 and 2014? 38 What is the greatest common divisor of 4797 and 57933? 369 What is the highest common factor of 18975 and 38625? 75 Calculate the highest common divisor of 182 and 495614. 14 What is the highest common factor of 3132 and 432? 108 Calculate the greatest common factor of 156476 and 4. 4 What is the highest common factor of 98 and 203497? 49 What is the highest common divisor of 31250 and 50? 50 What is the greatest common divisor of 140119 and 1036? 259 Calculate the greatest common factor of 81024 and 22656. 384 What is the greatest common factor of 29160 and 280? 40 Calculate the highest common factor of 39639 and 81906. 219 Calculate the greatest common divisor of 20618 and 2028. 338 What is the highest common factor of 2370 and 640690? 790 Calculate the highest common divisor of 13440 and 252. 84 What is the highest common factor of 564 and 39588? 12 What is the highest common divisor of 684579 and 1470? 147 What is the highest common factor of 372 and 12624? 12 Calculate the greatest common divisor of 12 and 335244. 12 What is the highest common divisor of 8318272 and 46? 46 Calculate the greatest common factor of 84148 and 1351. 193 Calculate the greatest common factor of 44 and 7776384. 44 Calculate the highest common factor of 2976 and 2661536. 992 What is the highest common factor of 293806 and 82? 82 Calculate the highest common factor of 209683 and 4203. 467 What is the greatest common divisor of 61860 and 180? 60 Calculate the highest common divisor of 373714 and 88. 22 Calculate the greatest common factor of 1051465 and 1130. 565 Calculate the greatest common factor of 3132 and 49213. 29 What is the greatest common factor of 127 and 471424? 127 What is the greatest common divisor of 256 and 13480? 8 Calculate the highest common factor of 6539 and 86013. 503 What is the greatest common divisor of 13255 and 231? 11 Calculate the highest common factor of 1794 and 1428323. 299 Calculate the highest common divisor of 2079 and 2448171. 297 What is the greatest common divisor of 898 and 13919? 449 Calculate the greatest common factor of 30804 and 284484. 1812 What is the greatest common factor of 67180 and 50? 10 What is the highest common factor of 65 and 1242553? 13 Calculate the highest common factor of 4275 and 17613. 171 Calculate the highest common divisor of 200080 and 82. 82 What is the greatest common factor of 19908 and 27972? 252 Calculate the highest common divisor of 8490 and 1230. 30 What is the greatest common factor of 660 and 39765? 165 What is the greatest common factor of 282315 and 2805? 165 Calculate the highest common factor of 9115050 and 20. 10 Calculate the highest common factor of 1572 and 90228. 12 What is the greatest common factor of 4005 and 12535? 5 What is the greatest common factor of 342184 and 8? 8 Calculate the greatest common divisor of 515 and 23587. 103 Calculate the highest common divisor of 25872 and 441. 147 Calculate the great
{ "pile_set_name": "DM Mathematics" }
k or j? j Let x be (-2)/11*1 + (-349)/(-187). Let r = x - 24/17. Let g be 2/28*(-3 - -7)/1. Are g and r nonequal? True Let n be ((-39)/234*3/(-2))/(15/(-12)). Suppose j = 3*j + 18. Is n smaller than j? False Let n(a) = a**3 - 42*a**2 + 6*a - 224. Let i be n(42). Let h be (i/42)/(10/15). Is h greater than -1/134? True Let z = -4719 - -283133/60. Let g = 13/180 + z. Is g at most as big as 2? True Let h = 2327 - 2327.3. Let d = -16.9 + 17. Let p = -0.28 + d. Which is greater: h or p? p Let v(t) = 58 + 23 - 13*t + 22 + 41. Let b be v(11). Which is smaller: b or 5/17? 5/17 Let c = -16837 - -16858.04. Are c and 4 non-equal? True Let l(d) = -2*d**3 + 38*d**2 - 37*d + 27. Let y be l(18). Let b be ((-9)/10)/(y/15). Which is smaller: -12 or b? -12 Let m be (-1)/(-2) - (28/24 - 0/24). Which is bigger: 206 or m? 206 Let d = 87 + -160. Let x = 76.277 + -74.277. Which is smaller: x or d? d Let p = -2 + 2.3. Let c = -293 - -278.15. Let h = c - -15. Is h less than or equal to p? True Suppose 815 = 2*b - h, 4*b - 3*h + 389 - 2024 = 0. Let t = b + -404. Is t greater than -5? True Let v = 95 + -96. Let w be 184/(-12) + v + (-4)/(-12). Which is smaller: w or -18? -18 Let j = 160591/570 + -1691/6. Let n = -12 + 13. Is j less than or equal to n? True Let f be (132/120)/((-36)/8940). Which is smaller: -273 or f? f Suppose 60*g = 54*g - 48. Let q = 212 - 229. Are q and g equal? False Let b = -2.516 + 2.616. Is b > 1465? False Suppose -3*d = 5*u + 219, 0 = u + 2*d - d + 45. Let o be ((-4)/u)/((-4)/(4*-15)). Is o less than -2? False Let z(p) = 6*p + 35. Let h be z(-5). Let s be 6/(-75)*h + (-38)/5. Suppose 4*x = -4*k - 32, 15 = -2*k - 4*x - 9. Which is smaller: s or k? s Let o = -600597 + 4214829/7. Which is greater: o or 1520? o Suppose -154*n + 11911 = -45*n - 8690. Is n at least -14? True Let p = -158427137/4112 + 38528. Does 1 = p? False Let p = -31/51 + 1300/153. Is 7 less than p? True Let u(b) = -b**2 + b + 2. Let a be u(-2). Let o(z) = 2*z + 14. Let w be o(a). Let j be w/22*20/(-6). Which is smaller: 0.2 or j? j Let y = -17 + 22. Suppose y = -4*r + 25. Suppose -r*z - 212 = -27. Is z bigger than -37? False Let n(a) = -29*a**2 - 726*a - 26. Let u be n(-25). Is u at most -3/11? True Let x be ((-8)/(-12))/(226/(-6)). Suppose 5 = 4*o + 31*l - 32*l, -3 = 2*o + 5*l. Is o != x? True Let s = -8992/76143 + 2/4479. Let f = 3886/23 - 169. Which is bigger: s or f? f Let o = -301.262 - -305.9. Let h = o + -0.638. Let s = 0.7 - -0.3. Which is smaller: s or h? s Let r = -346/9 - -115/9. Let n = r + 925/33. Which is greater: 3 or n? 3 Let y = 10536 - 8469. Are y and -2 unequal? True Let f = -315.9 + 316. Let j = -183 + 82. Are f and j unequal? True Let l = 6781 + -6784.083. Let o = -0.083 - l. Let g = 0 + 0.1. Is g at most as big as o? True Let x(w) = w**3 - 73*w**2 + 145*w - 213. Let s be x(71). Let z be 10/(-45) - 64/(-450). Is z greater than s? False Let w be (1 - -1) + (-20514987)/3213. Let r = -6383 - w. Let h(y) = -y**2 + 19*y - 71. Let b be h(14). Is r smaller than b? False Let m be (-4)/(-14) - (6 + (-280)/49). Suppose 2*s + 5*n + 17 = -1, m = -4*s - n. Which is bigger: s or 1/352? s Let v(j) = -j**3 + 18*j**2 - 31*j - 36. Let u be v(16). Let w be ((-146)/u - 6)*-3. Which is greater: -5 or w? w Let f(g) = 1. Let p(w) = w - 7. Let k(u) = 4*f(u) + p(u). Let q(t) = -3*t + 11. Let b(y) = -9*k(y) - 2*q(y). Let o be b(0). Is -7 equal to o? False Let j be ((-5 + 1)/(-2))/(3 - 854/286). Is j > 140? True Let l(y) = 120*y + 35. Let o be l(12). Is 1473 less than o? True Let q = 22 - 33. Let v = 14280.1 + -14280. Does q = v? False Suppose -8*o + 26*o - 2268 = 0. Let q be (-3 - (-366)/o)*(-3)/36. Which is smaller: q or 1? q Let i be 4/3*236/(-33512). Is i equal to 0? False Let q be (22/4 + -5)/((-9)/1548). Which is smaller: q or -108? -108 Let f be (-28)/(-4) + (-8)/(16/377). Does -183 = f? False Let l = 54 - 30. Let n = -22 + l. Let p be (-12)/18 + n/(-6) + 1. Which is smaller: p or -2/89? -2/89 Let x(j) = 4*j - 14. Let y be x(5). Suppose -y*f = -11*f + 40. Suppose 58 = 8*w - 14. Is w >= f? True Suppose -3*h + 3*x = 4*x - 42, 70 = 5*h - x. Suppose h*a - 306 = -4*a. Which is smaller: a or 18? a Let f = -238 + 232. Let m be (-2900)/(-60)*4/((-16)/f). Is m greater than or equal to -2/3? True Let f = 0.4316 - 0.118. Are f and -0.1 nonequal? True Let a = -3700 - -3780. Is 79 less than or equal to a? True Suppose d = -86 + 247. Suppose -6*a - d = -11. Let s = a - -25. Which is greater: -1/46 or s? s Let c be 6 - 132/(10 + 12). Which is greater: 7/527 or c? 7/527 Let j(r) = 1624*r + 11368. Let h be j(-7). Is 12 bigger than h? True Let u = 14 - 29. Let b = u + 22. Suppose 4*m - b = -31. Which is greater: -3 or m? -3 Let y = -17084/6475 - 2/1295. Which is bigger: y or -4? y Suppose 4*m - j = 10965, j - 6*j - 25 = 0. Which is smaller: 2741 or m? m Suppose 0 = -24*y - 68 - 964. Which is smaller: y or -37? y Let s(b) = 52*b - 463. Let w be s(15). Is w bigger than 318? False Let v = -8267/2 + 4121. Which is bigger: 6 or v? 6 Let z = -194 + 644. Let x = z + -399. Which is bigger: 5 or x? x Let n(s) = 2 - s + 3 + 4. Let w be n(4). Suppose -w*a + a = 0. Which is smaller: 12 or a? a Suppose 81*q - 82*q + 3*m + 620 = 0, 4*q = -5*m + 2412. Is q greater than 611? False Let i be ((-4)/10)/(1/(-10)). Let j(q) = 6*q + 146. Let k be j(-24). Let n be (-4)/k - 300/(-42). Which is greater: n or i? n Let z = 0.03 + -0.061. Let q = z + 25.031. Let y = 9 - q. Which is greater: -1 or y? -1 Let x be (-3)/15 - 36/(-5). Let y = -3.6193 - -3.62. Let q = -4.9993 - y. Is x < q? False Suppose 2*n + 541 = -23*m + 20*m, -5*n - 910 = 5*m. Which is smaller: -129 or m? m Suppose 0 = -1090*k + 1068*k + 264. Which is smaller: 85 or k? k Suppose 25*y - 22*y = 6. Let f be 4 + 2/(y/(-5)). Let m be f*-3*(2 + 15). Which is smaller: m or 49? 49 Suppose 3615 = 702*u - 717*u. Is u at most -257? False Suppose v + 28 = -49. Let q be ((-50)/(-20))/((-4)/(-232)). Let w = -222 + q. Is v > w? False Suppose -4*h - 3*x = -171, -6*h = -2*h + 2*x - 166. Let m = 43777 + -481109/11. Are m and h nonequal? True Let d be (-49)/(-14)*(-6)/1. Let z = -22 - d. Let s be (z/(-1) - 1) + (-297)/(-77). Are 4 and s nonequal? True Let s = -0.8 - 0.2. Let v be ((-2)/(-20)*5)/(9/(-126)). Let o be (v/(-63))/1*7. Is s at least as big as o? False Let l = -331921/30 - -11063. Let i = 6029/5820 + l. Which is smaller: i or 1? i Suppose 4*r - 382 = 2*v, 2*r + 4*v = -0*v + 166. Let u(y) = y**2 + 601*y - 7889. Let f be u(13). Is r at most f? True Let w be ((-16576)/(-935730))/(1 - (-34)/20). Let n = w + -3/281. Which is smaller: n or -1? -1 Let k(s) = -s**2 - 205. Let l be k(0). Let v be (-2)/(-6)*(-328 + -290). Which is smaller: v or l? v Let a be 4/(-6)*(6/(-2))/(-6). Let m = -1282 - -1268. Is m at least as big as a? False Let t(k) = k**3 - 23*k**2 + 101*k + 47. Let x be t(14). Is x < -312? False Let k = -498/145 - -17/5. Which is smaller: k or -20? -20 Let s(u) = u**2 + u + 3. Let j be s(2). Let p(i) = -i - 1. Let m be p(j). Let r(c) = -4*c - 38. Let v be r(m). Is 6/5 at most as big as v? True Suppose -6*b + 1 = -2*y - 3*b, -y + 4*b = 8. Suppose 18 = -4*v - 2*o, 18 = v + o + y*o. Which is greater: v or -6? -6 Let n(f) = -74 + 9*f + 34 - 74 - 10. Let g be n(15). Which is bigger: g or 0.08? g Let w = 37 - 32. Suppose -3*n - 2 = -w*n. Is n <= -108? False Suppose 17*r + 3682 = -1010. Let o = 87 + r. Which is smaller: -190 or o? -190 Let m = 227 + -221. Let x = 2 - m. Which is smaller: x or -2/3? x Let t(x) = x**3 + 3*x**2 - 18*x - 42. Let j be t(-4). Which is smaller: 21 or j? j Let x = -2453 - -1331. Let o be (-19669)/x - 4/11. Which is greater: o or 18? 18 Suppose 32 = 28*v - 36*v. Let z be 66/363 - v/(-22). Which is smaller: z or -3/80? -3/80 Suppose 309 = g - 225. Suppose -14*j - g = -8*j. Do j and -90 have different values? True Let b = -218 - -155. Let o be ((-2)/168)/(42/b). Which is greater: o or -1? o Let u = -8887 + 13618. Which is greater: 4730 or u? u Let s = 868 - 948. Let k be (-60)/s + (-41)/(-4). Is 12 >= k? True Suppose 41*c = -3*c + 4752. Suppose -4*x = -2*u + 446, 3*x - 3*u + 0*u + 342 = 0. Let b = c + x. Which is bigger: b or 2/49? 2/49 Let i = 0.034 + -0.014. Let j = 0.18 - i. Let a = j + 0.04. Which is bigger: a or -2? a Let g be (9849/216 + 7/
{ "pile_set_name": "DM Mathematics" }
t common factor of 7 and 3269? 7 What is the highest common divisor of 21 and 168? 21 Calculate the greatest common factor of 2 and 331. 1 Calculate the highest common divisor of 54 and 12. 6 What is the greatest common factor of 624 and 468? 156 What is the greatest common factor of 34 and 697? 17 What is the greatest common factor of 576 and 666? 18 Calculate the greatest common divisor of 26 and 20267. 13 What is the greatest common divisor of 18444 and 424? 212 Calculate the greatest common divisor of 11 and 44. 11 What is the greatest common factor of 1465 and 5? 5 Calculate the greatest common divisor of 38 and 152. 38 What is the greatest common divisor of 2025 and 1575? 225 Calculate the greatest common factor of 38770 and 20. 10 Calculate the highest common factor of 162 and 2808. 54 What is the highest common factor of 522 and 290? 58 What is the greatest common divisor of 40 and 180? 20 Calculate the greatest common divisor of 159 and 212. 53 What is the greatest common factor of 1711 and 87? 29 Calculate the highest common divisor of 11 and 770. 11 Calculate the greatest common factor of 67 and 1943. 67 Calculate the highest common factor of 27 and 108. 27 Calculate the highest common factor of 976 and 183. 61 What is the greatest common divisor of 138 and 204? 6 Calculate the greatest common divisor of 923 and 142. 71 What is the highest common factor of 84 and 196? 28 Calculate the highest common divisor of 3921 and 9. 3 Calculate the greatest common divisor of 3577 and 146. 73 Calculate the greatest common factor of 53 and 5830. 53 What is the highest common factor of 3127 and 295? 59 Calculate the highest common factor of 20568 and 72. 24 Calculate the greatest common factor of 5824 and 28. 28 Calculate the greatest common factor of 729 and 9. 9 Calculate the highest common factor of 156 and 6591. 39 Calculate the greatest common divisor of 637 and 182. 91 Calculate the highest common factor of 5989 and 53. 53 Calculate the highest common factor of 357 and 21. 21 Calculate the greatest common factor of 8 and 3736. 8 Calculate the highest common divisor of 2889 and 6099. 321 What is the greatest common factor of 32 and 4? 4 What is the highest common divisor of 175 and 25? 25 What is the greatest common divisor of 64 and 24? 8 What is the greatest common factor of 325 and 13? 13 What is the highest common divisor of 5448 and 24? 24 What is the greatest common factor of 437 and 1824? 19 What is the highest common divisor of 2 and 62? 2 What is the greatest common factor of 106 and 3816? 106 What is the greatest common divisor of 100 and 1160? 20 Calculate the greatest common factor of 99 and 165. 33 Calculate the greatest common factor of 335 and 10. 5 What is the highest common factor of 75 and 39? 3 Calculate the greatest common factor of 20 and 230. 10 Calculate the highest common factor of 264 and 11112. 24 Calculate the highest common factor of 255 and 420. 15 What is the greatest common divisor of 4512 and 96? 96 Calculate the highest common factor of 2162 and 47. 47 Calculate the greatest common divisor of 182 and 6006. 182 Calculate the highest common divisor of 21 and 5061. 21 Calculate the highest common divisor of 110 and 20. 10 Calculate the greatest common factor of 242 and 110. 22 Calculate the highest common factor of 900 and 500. 100 Calculate the greatest common divisor of 42 and 4634. 14 Calculate the highest common divisor of 10 and 1140. 10 What is the highest common factor of 52 and 448? 4 What is the highest common factor of 360 and 960? 120 What is the greatest common factor of 14517 and 36? 9 Calculate the greatest common divisor of 494 and 608. 38 Calculate the highest common divisor of 280 and 105. 35 What is the greatest common divisor of 2940 and 120? 60 Calculate the highest common factor of 18 and 1206. 18 Calculate the highest common divisor of 17 and 544. 17 Calculate the highest common factor of 3096 and 48. 24 What is the highest common divisor of 29 and 203? 29 What is the greatest common divisor of 72 and 264? 24 Calculate the highest common divisor of 1664 and 4056. 104 Calculate the greatest common divisor of 481 and 1157. 13 What is the highest common factor of 15 and 55? 5 What is the greatest common factor of 1512 and 280? 56 Calculate the highest common factor of 10 and 1790. 10 Calculate the greatest common divisor of 198 and 110. 22 What is the greatest common divisor of 3355 and 495? 55 Calculate the greatest common divisor of 13167 and 66. 33 What is the greatest common factor of 2047 and 92? 23 Calculate the greatest common divisor of 7339 and 41. 41 What is the greatest common divisor of 368 and 138? 46 Calculate the greatest common factor of 101 and 3. 1 Calculate the highest common factor of 34 and 2822. 34 Calculate the greatest common divisor of 64 and 48. 16 Calculate the greatest common divisor of 464 and 112. 16 Calculate the greatest common divisor of 710 and 50. 10 What is the greatest common factor of 3757 and 39? 13 Calculate the highest common factor of 583 and 53. 53 What is the highest common factor of 102 and 986? 34 Calculate the greatest common divisor of 1715 and 175. 35 What is the greatest common divisor of 42 and 609? 21 Calculate the greatest common factor of 285 and 195. 15 Calculate the highest common divisor of 25 and 9425. 25 Calculate the greatest common factor of 780 and 455. 65 Calculate the greatest common divisor of 9 and 171. 9 Calculate the highest common divisor of 95 and 456. 19 What is the greatest common divisor of 324 and 48? 12 Calculate the greatest common divisor of 779 and 38. 19 Calculate the highest common factor of 4 and 32. 4 Calculate the greatest common factor of 4690 and 5. 5 What is the greatest common divisor of 329 and 3525? 47 Calculate the highest common factor of 7513 and 33. 11 Calculate the highest common factor of 51 and 646. 17 What is the highest common divisor of 516 and 9460? 172 Calculate the greatest common divisor of 76 and 2748. 4 Calculate the greatest common divisor of 242 and 363. 121 Calculate the greatest common divisor of 205 and 4469. 41 What is the highest common factor of 24 and 3252? 12 Calculate the highest common factor of 177 and 9. 3 What is the greatest common divisor of 12194 and 402? 134 Calculate the highest common divisor of 480 and 192. 96 Calculate the highest common factor of 3604 and 2756. 212 What is the highest common divisor of 50 and 520? 10 Calculate the greatest common divisor of 646 and 34. 34 What is the highest common divisor of 276 and 18124? 92 What is the greatest common divisor of 18 and 174? 6 Calculate the highest common divisor of 2 and 412. 2 Calculate the highest common factor of 3032 and 16. 8 What is the highest common divisor of 5589 and 23? 23 Calculate the highest common divisor of 3703 and 7. 7 Calculate the greatest common factor of 110 and 605. 55 What is the highest common factor of 265 and 20? 5 What is the highest common factor of 222 and 296? 74 What is the highest common factor of 414 and 126? 18 Calculate the greatest common factor of 56 and 3080. 56 Calculate the highest common factor of 292 and 11534. 146 Calculate the highest common factor of 411 and 274. 137 What is the greatest common divisor of 17 and 1462? 17 What is the highest common factor of 453 and 33? 3 What is the highest common factor of 8 and 676? 4 What is the greatest common factor of 1603 and 35? 7 Calculate the greatest common factor of 320 and 1620. 20 What is the highest common factor of 1176 and 108? 12 What is the highest common factor of 3 and 97? 1 What is the highest common factor of 3 and 8? 1 What is the highest common divisor of 819 and 91? 91 Calculate the greatest common factor of 2680 and 40. 40 Calculate the greatest common divisor of 284 and 12. 4 What is the highest common factor of 54 and 990? 18 What is the highest common factor of 40 and 184? 8 What is the highest common factor of 70 and 455? 35 Calculate the highest common factor of 50 and 6950. 50 Calculate the highest common factor of 1330 and 28. 14 Calculate the greatest common factor of 30 and 330. 30 What is the greatest common factor of 2158 and 498? 166 What is the highest common divisor of 300 and 1025? 25 What
{ "pile_set_name": "DM Mathematics" }
33 - 68 - 54 - d. Let k be z(20). Let r = 112 + k. Solve -r = 2*g + 1 for g. -2 Suppose 8*z = -48 - 32. Let m be (-3)/(-6)*(28 + z). Solve -m*y = -8*y + 2 for y. -2 Suppose 131*j = 110*j. Solve j = -28*f - 9 + 65 for f. 2 Suppose 8*j - 15*j + 21 = 0. Suppose -4*i + 2*c = -58, 0*i - 42 = -3*i + j*c. Solve -i*r = -14*r + 3 for r. -3 Suppose -17*v - 379 - 1117 = 0. Let t be v/(-8) - 1/1. Solve r - t = -r for r. 5 Let m be 8*(-2 - -40)/((-6)/(-3)). Let s = m - 147. Solve 2*f = -15 + s for f. -5 Let x = -3231 + 3256. Solve -x = -19*a + 24*a for a. -5 Let f(p) = 90*p - 39. Let i be f(2). Let t be i/24 + (-22)/(-176). Solve t*o - 11*o = 5 for o. -1 Let u(c) = c**2 - 14. Suppose -22*j - 9 = 79. Let p be u(j). Solve -2 + 6 = -p*o for o. -2 Let u be -3 - ((-600)/33 + 8/44). Let z(y) = y + 9. Let d be z(-9). Suppose -5*q - h - 4*h - 5 = d, -2 = -q + 2*h. Solve 5*j + u = -q for j. -3 Let g be 4/6 + 8/(-12). Let y = -835 + 840. Solve -y*z + z = g for z. 0 Let t be 45*5/30*(-10)/(-3). Solve 96 + 29 = -t*o for o. -5 Let j = 4051 - 3814. Solve -94*h = -15*h - j for h. 3 Suppose 3*t = -4*s, -s - 2*s = -3*t. Suppose 0 = -3*p + 90 - 276. Let o = 66 + p. Solve t = 2*z - o - 0 for z. 2 Suppose 51*m = 110*m - 31860. Solve 510 = 6*r + m for r. -5 Let c(q) be the first derivative of 6*q + 14 + 1/4*q**4 + 1/2*q**2 - 4/3*q**3. Let f be c(3). Solve -y = -f*y for y. 0 Let q = -4029 + 4035. Solve 20*l = 19*l - q for l. -6 Let z be (-9)/(-2) - 7/(-14). Suppose -9 = -4*i - 2*p + 15, i - 3*p - 13 = 0. Solve i = -z*v - 3 for v. -2 Suppose -5*m + 2*c + 606 = 0, 2*c + 612 = 5*m - 2*c. Suppose -m + 18 = -6*d. Solve 0 = -16*r + d*r for r. 0 Suppose 2*x = -4*l + 16, 14*x - 24 = 12*x + 4*l. Solve 17*v - x*v = 21 for v. 3 Let d = 1140 + -1197. Suppose 2*m + u + 0*u = 116, 0 = 5*m - 4*u - 303. Let g = m + d. Solve 0 = -0*y - g*y + 10 for y. 5 Suppose -l - 9*i = -4*i - 86, 4*i - 264 = -4*l. Solve -585 = l*m - 158 for m. -7 Suppose 9 + 5 = -553*l + 14. Let d(m) = m**3 - 5*m**2 + 5. Let o be d(5). Solve l*b - 5 = o*b for b. -1 Let h(w) = -7*w**3 + 9*w**2 - 4*w + 4. Let q(s) = 3*s**3 - 4*s**2 + s - 2. Let g(u) = -2*h(u) - 5*q(u). Let l be g(-2). Solve -16*i + l*i = -20 for i. 5 Suppose 73*n = -z + 72*n + 4198, -z - 4*n = -4174. Solve 0 = 4*c + z - 4230 for c. 6 Let d = -482 + 483. Let s(f) = 9*f**3 + 2*f**2. Let m be s(d). Solve 7*a + m + 17 = 0 for a. -4 Let q(z) = 35*z - 40. Let u(b) = -72*b + 82. Let d(p) = 5*q(p) + 3*u(p). Let w be d(1). Solve w*n = -0*n - 20 for n. -4 Let o be 72*(-2)/(0 - 16). Solve -3*g = -24 + o for g. 5 Let c(x) = -5*x - 35. Let d be c(-8). Let t(q) = -q + d + q**2 - 12*q + 9*q. Let v be t(4). Solve v*i = -8 - 2 for i. -2 Suppose 4*q = -4*v + 1552, 0 = -5*v + 4*q + 1240 + 673. Let m = v + -385. Solve m*x - 4*x = 20 for x. -5 Suppose -5*b + 3*p + 2*p = -650, 4*b = -4*p + 520. Solve 15*o = -11*o - b for o. -5 Let b(p) be the second derivative of p**5/20 - 5*p**4/12 - 2*p**3 - 9*p**2/2 - 12*p - 1. Let l be b(7). Solve 0 = -2*a + 3 + l for a. 4 Let l = -14323 - -14360. Solve -18*i + l - 145 = 0 for i. -6 Let o(z) = 2*z**3 - 113*z**2 + 168*z - 81. Let x be o(55). Solve 53*g - 31 = -x for g. -1 Suppose 605 = -48*v + 59*v. Suppose -v*h = -60*h + 65. Solve 5*m = 3 - h for m. -2 Let y = 7194 - 6985. Solve -9*c + y = 173 for c. 4 Let t = 5934 - 5930. Solve 7*c + t*c - 77 = 0 for c. 7 Suppose -117*v + 110*v = -630. Solve -156*h = -141*h + v for h. -6 Let p be 2*(23 - 8)*2/12. Solve 58*y - p = 59*y for y. -5 Suppose -p - 10 = -r + 2*p, -85 = -4*r + 3*p. Solve -10*q = 5 + r for q. -3 Suppose 129*d - 3 = 128*d. Suppose 0 = 5*k - 3*r - 12 + 9, -2*k + d*r = 6. Let j(b) = -b + 5. Let s be j(-6). Solve -k*x + s = 2 for x. 3 Let w(h) be the first derivative of -15*h**2/2 + 20*h - 72. Let d be w(0). Solve 5 = -5*t + d for t. 3 Let n(i) = i**3 - 46*i**2 - 85*i + 1840. Let j be n(47). Solve 18*g + j = -0*g for g. -3 Let q(f) = 23*f**2 + 20*f + 21. Let o be q(-1). Solve 17*u = -o + 41 for u. 1 Let d = 27 - 17. Let q be ((-4)/18*-3)/((-12)/54). Let k = 3 + q. Solve k = -0*r - 2*r + d for r. 5 Let b(v) = -v**2 + 8*v - 28. Let q(n) = n**2 - 8*n + 26. Let d(m) = 4*b(m) + 5*q(m). Let z be d(4). Solve 0 = c - 0*c + z for c. -2 Let r be (-7 + (6 - 8))/(-3). Suppose -5*b + r*j - 4*j = -21, 5*b - 19 = j. Solve 8 = b*n - 4 for n. 3 Suppose 6 = 2*l + 4*d - 20, -3*d + 30 = 3*l. Suppose -l*u + 65 = -2*u. Let a = -25246 + 25249. Solve -a*z = u - 1 for z. -4 Suppose w = -2*i + 3*w + 40, 0 = -3*i + 5*w + 58. Suppose p + 2 = 4, 5*d + 3*p - i = 0. Suppose l - 20 = -4*t, -l + 16 = d*t - 0*l. Solve 0 = m + m + t for m. -2 Suppose -25*i + 1619 - 1544 = 0. Solve 29 = i*s + 20 for s. 3 Let u(r) be the second derivative of -1/20*r**5 + 1/2*r**4 + 11/6*r**3 - 5*r - 12*r**2 + 0. Let p be u(7). Solve -2*m = -p*m for m. 0 Suppose 4*m - 78 = -t, -290 + 260 = 5*t. Solve -84 = 21*z + m for z. -5 Let s(v) = -v**2 - v + 3. Let n be s(0). Suppose 0 = 2*l - 2*f - 6, -3*f - 4 - 5 = n*l. Suppose 27*o = 11*o + 48. Solve o*i + 2 + 1 = l for i. -1 Let r be 105/(-30)*((-2)/14 + -1). Let x be (-87)/(-18) + (-1)/(-6). Suppose 10 = 3*t + r*a - 4, x*t - a = 8. Solve w + 0*w + t = 0 for w. -2 Let y(c) be the first derivative of c**3/3 - 2*c**2 - 54*c + 165. Let i be y(-6). Solve 4*j = i*j + 4 for j. -2 Suppose 0 = -4*a + 3*g + 471, -a + 6*g - g = -105. Suppose 5*l = -7*l + a. Solve -l*k - 30 = -4*k for k. -5 Suppose r + 71 = 3*m, 32*m = 37*m + 2*r - 100. Solve s = m*s for s. 0 Let n = 6039 - 5918. Solve 36 = 115*m - n*m for m. -6 Let o(v) = -2*v - 16. Let z = 58 + -68. Let b be o(z). Solve -2 = u - b for u. 2 Suppose -1751*k = -1546*k - 41000. Solve -171*n = -k*n + 174 for n. 6 Let a be (-20)/((-500)/1225) + -1 + 8. Solve 18*q + a = -16 for q. -4 Suppose -4*h - 3*x = -166 - 3, -28 = -h + 4*x. Let j be 2100/132 - (h/44 - 1). Let w(v) = v**2 + v. Let c be w(0). Solve c*l - 4*l - j = 0 for l. -4 Let n be 1/3 + 2/3. Suppose -2*g = -3*z + 49, -10 = 25*g - 23*g. Solve -12*f - n = -z*f for f. 1 Let s be ((-455)/(-15) - 29)/(4/51). Solve s*x + 10*x = 189 for x. 7 Suppose 0 = 3*b - 5*k - 108 - 214, -4*b = -4*k - 448. Solve -b = 21*v + 7 for v. -6 Let j be 375 + 26/((-468)/270). Solve 18*d + j = -27*d for d. -8 Let k be (-51)/(-68) - ((-86)/(-8) - -2). Let l be 1/(-3)*(-18)/k*-8. Solve l*m - 15 = m for m. 5 Suppose -i + 10*i + 46*i = 2255. Solve -i*l - 118 = 5 for l. -3 Suppose -5*o + 83 = -10*o - j, 2*o + 47 = -5*j. Let u be -4*(200/o - -9). Solve -6 - 36 = -u*x for x. 3 Let x be (-7)/(-14)*(0 + 4). Solve -x + 44 = 7*p for p. 6 Let c(m) = -m**2 + 26*m - 22. Let g be c(25). Suppose n = 5*j - g*n - 10, 5*j + 2*n - 10 = 0. Suppose -1 - j = -3*l. Solve 0 = 2*r - 3*r - l for r. -1 Let y = 596 + -591. Suppose -16*s = -y - 75. Solve 20 + 0 = s*l for l. 4 Suppose -s - 3*s + 4*k + 16 = 0, 5 = -5*k. Let x(t) = 4*t**3 - 78*t**2 - 116*t - 207. Let j be x(21). Solve -s*g - j = -18 for g. 5 Let n(q) be the first derivative of 25*q**2 + 154*q - 51. Let f be n(-3). Solve -25 = f*m + m for m. -5 Let x be 3 - (0 - -5)/(-5). Suppose -x*t = -p - 82, 5*t + 8*p = 4*p + 92. Solve 4*f = 9*f - t for f. 4 Suppose -5*c = -4*c. Let p be ((-6)/(-4))/(252/672). Suppose 20 = -5*u + 5*d, d = -2*u + 4*u + 3. Solve m + p + u = c for m. -5 Suppose 365 = -f - 5*o, 4*f = -15*o + 19*o - 1508. Let d = f + 379. Solve -11*l + d = -10*l for l. 4 Let c(d) = -d**2 - 9*d - 23. Let s be c(-5). Let p(a) = 9*a + 31. Let b be p(s). Suppose 0 = u + 2*m + b, -4*m = 5*u - 0 - 4. Solve z + 8 = u for z. -4 Suppose 0 = 2*v - 2*p - 24, -3*p - 1002 = -2*v - 975. Solve -11*d + 86 = v for d. 7 Let r(n) be the second derivative of n**5/10 - 11*n**4/12 - n**3 + 30*n. Let d be r(6). Let k be d*(4/(-6) + (-14)/(-12)). Solve k = 2*p - 3 + 5 for p. -1 Suppose -4*b = w - 10, 4*b = 3*w - 0 + 18. Let d be (-23)/(-3) - (14/(-6) - w). Suppose -d*l = 5*m - 13*l, -4*m + 3*l + 1 = 0. Solve -5*g = -19 - m for g. 4 Suppose 0*b = -l + 3*b - 4, 5*l + 20 = -3*b. Let j be ((434/l)/7)/((-3)/6). Solve -6*k - 7 + j = 0 for k. 4 Let a = -46 + 26. Let z = -5 - a. Suppose 3*v - z = -0. Solve -2*u - v = -1 for u. -2 Let r(z) = 3*z**2 - 8*z - 8. Let t be r(-4). Let d = -52 + t. Suppose d*f = 13*f. Solve 2*j = 4 - f for j. 2 Let r(a) = 4*a - 24. Suppose k + 364 - 370 = 0. Let j be r(k). Solve -v - v + 2 = j for v. 1 Le
{ "pile_set_name": "DM Mathematics" }
ommon factor of 1775 and 213. 71 What is the greatest common divisor of 426 and 5751? 213 What is the highest common factor of 1431 and 159? 159 Calculate the greatest common divisor of 2530 and 44. 22 What is the highest common factor of 35 and 1505? 35 What is the highest common divisor of 54 and 216? 54 Calculate the highest common divisor of 130 and 9204. 26 Calculate the greatest common factor of 32 and 1968. 16 Calculate the highest common divisor of 1640 and 40. 40 Calculate the greatest common factor of 156 and 26988. 156 Calculate the greatest common divisor of 1859 and 13. 13 What is the greatest common factor of 12 and 3372? 12 Calculate the greatest common factor of 54 and 3. 3 Calculate the greatest common factor of 10320 and 96. 48 Calculate the highest common factor of 408 and 374. 34 What is the highest common factor of 580 and 2755? 145 What is the greatest common factor of 117 and 52? 13 What is the highest common factor of 604 and 4? 4 What is the greatest common factor of 8716 and 4? 4 Calculate the greatest common divisor of 11 and 99. 11 What is the greatest common factor of 2096 and 32? 16 What is the greatest common divisor of 27 and 21537? 9 Calculate the highest common divisor of 106 and 1219. 53 Calculate the greatest common divisor of 4 and 2352. 4 Calculate the highest common factor of 105 and 385. 35 What is the greatest common divisor of 372 and 12? 12 What is the highest common divisor of 4 and 6852? 4 What is the greatest common factor of 664 and 8? 8 Calculate the greatest common factor of 21 and 1379. 7 What is the highest common divisor of 7176 and 26? 26 What is the greatest common factor of 161 and 7? 7 What is the highest common factor of 90 and 54? 18 What is the highest common divisor of 120 and 9480? 120 Calculate the highest common factor of 975 and 7215. 195 What is the highest common divisor of 364 and 65? 13 Calculate the highest common divisor of 1308 and 109. 109 What is the greatest common divisor of 192 and 948? 12 What is the highest common divisor of 32 and 34240? 32 What is the greatest common factor of 380 and 10925? 95 Calculate the highest common factor of 27807 and 93. 93 What is the highest common factor of 1927 and 615? 41 Calculate the highest common divisor of 65 and 3835. 65 What is the highest common factor of 3 and 2019? 3 What is the greatest common factor of 2940 and 60? 60 Calculate the greatest common divisor of 713 and 31. 31 Calculate the highest common factor of 390 and 546. 78 What is the highest common divisor of 5450 and 150? 50 Calculate the highest common divisor of 81 and 1593. 27 Calculate the greatest common divisor of 1 and 118. 1 Calculate the greatest common factor of 3130 and 10. 10 What is the highest common divisor of 45 and 63? 9 What is the greatest common factor of 483 and 21? 21 Calculate the highest common factor of 1 and 3151. 1 What is the greatest common factor of 1242 and 46? 46 What is the greatest common divisor of 87 and 1624? 29 Calculate the greatest common factor of 152 and 342. 38 What is the highest common divisor of 662 and 1? 1 What is the highest common divisor of 404 and 1313? 101 What is the greatest common factor of 8979 and 41? 41 Calculate the highest common divisor of 854 and 7. 7 Calculate the highest common divisor of 154 and 726. 22 What is the highest common factor of 119 and 51? 17 Calculate the greatest common factor of 86 and 1978. 86 Calculate the greatest common divisor of 26 and 299. 13 What is the highest common divisor of 82 and 697? 41 Calculate the highest common divisor of 795 and 15. 15 What is the greatest common divisor of 54 and 432? 54 What is the greatest common factor of 57450 and 30? 30 What is the highest common factor of 3 and 1293? 3 Calculate the highest common divisor of 324 and 180. 36 What is the highest common divisor of 19 and 152? 19 What is the greatest common factor of 1304 and 8? 8 Calculate the greatest common factor of 74 and 1887. 37 What is the greatest common factor of 445 and 89? 89 Calculate the highest common factor of 226 and 1. 1 Calculate the greatest common divisor of 434 and 7688. 62 Calculate the highest common factor of 1479 and 51. 51 What is the highest common factor of 208 and 48? 16 Calculate the highest common factor of 33 and 2915. 11 What is the highest common factor of 210 and 231? 21 What is the highest common divisor of 390 and 325? 65 Calculate the highest common factor of 252 and 306. 18 Calculate the greatest common divisor of 84 and 30597. 21 Calculate the highest common factor of 32 and 4. 4 What is the greatest common divisor of 258 and 645? 129 Calculate the highest common divisor of 42 and 126. 42 Calculate the highest common divisor of 414 and 18. 18 Calculate the highest common divisor of 876 and 84. 12 What is the highest common divisor of 2 and 2? 2 Calculate the greatest common divisor of 32 and 40. 8 What is the greatest common factor of 48 and 1128? 24 Calculate the greatest common divisor of 1552 and 16. 16 Calculate the greatest common factor of 775 and 124. 31 What is the highest common divisor of 114 and 42? 6 What is the highest common factor of 2318 and 244? 122 What is the highest common divisor of 11 and 77649? 11 What is the highest common factor of 18350 and 50? 50 What is the highest common factor of 181 and 9593? 181 What is the greatest common factor of 45 and 5985? 45 Calculate the highest common factor of 561 and 33. 33 What is the highest common divisor of 2193 and 153? 51 Calculate the highest common divisor of 480 and 180. 60 Calculate the greatest common factor of 308 and 112. 28 Calculate the greatest common divisor of 63 and 9576. 63 What is the highest common divisor of 12 and 12312? 12 Calculate the greatest common factor of 230 and 322. 46 What is the highest common divisor of 1081 and 94? 47 What is the highest common divisor of 6 and 516? 6 What is the highest common divisor of 5 and 1945? 5 Calculate the highest common factor of 84 and 60. 12 What is the greatest common factor of 58 and 87? 29 What is the highest common divisor of 7 and 1561? 7 Calculate the highest common factor of 3350 and 201. 67 What is the highest common factor of 4823 and 637? 91 Calculate the highest common divisor of 297 and 385. 11 Calculate the greatest common divisor of 4836 and 975. 39 What is the highest common factor of 312 and 696? 24 Calculate the greatest common factor of 195 and 65. 65 What is the greatest common factor of 132 and 18? 6 Calculate the highest common factor of 12 and 1452. 12 What is the greatest common divisor of 76 and 646? 38 Calculate the greatest common factor of 1430 and 195. 65 What is the greatest common divisor of 25 and 15825? 25 What is the greatest common divisor of 7 and 89? 1 What is the highest common factor of 576 and 336? 48 Calculate the greatest common divisor of 777 and 333. 111 What is the highest common divisor of 736 and 276? 92 What is the greatest common divisor of 2685 and 30? 15 Calculate the greatest common factor of 41 and 369. 41 Calculate the highest common divisor of 20 and 130. 10 Calculate the greatest common divisor of 258 and 30. 6 What is the highest common factor of 534 and 3026? 178 Calculate the greatest common factor of 65 and 169. 13 What is the greatest common divisor of 26 and 19864? 26 Calculate the highest common divisor of 18 and 1458. 18 What is the highest common factor of 18 and 279? 9 What is the greatest common factor of 495 and 1881? 99 What is the highest common divisor of 165 and 15? 15 What is the highest common divisor of 4237 and 3568? 223 Calculate the greatest common factor of 1750 and 84. 14 What is the highest common divisor of 24 and 588? 12 Calculate the highest common divisor of 4 and 2764. 4 What is the highest common factor of 188 and 7802? 94 Calculate the highest common factor of 147 and 3724. 49 Calculate the highest common divisor of 784 and 16. 16 Calculate the highest common factor of 561 and 33. 33 What is the highest common factor of 48 and 114? 6 What is the greatest common divisor of 16 and 36? 4 Calculate the highest common factor of 30 and 21. 3 What is the greatest common divisor of 584 and 365? 73 Calculate the highest common divisor of 316 and 7426.
{ "pile_set_name": "DM Mathematics" }
ultiple of 292 and 24. 1752 What is the smallest common multiple of 384 and 192? 384 Calculate the common denominator of 46/567 and 31/7. 567 What is the lowest common multiple of 626 and 64? 20032 Calculate the common denominator of -16/153 and 17/13. 1989 Calculate the smallest common multiple of 180 and 320. 2880 Calculate the smallest common multiple of 486 and 33. 5346 Calculate the smallest common multiple of 660 and 60. 660 Calculate the smallest common multiple of 448 and 28. 448 What is the least common multiple of 59 and 2006? 2006 What is the least common multiple of 38 and 8? 152 Calculate the common denominator of -151/60 and 34/23. 1380 Calculate the smallest common multiple of 121 and 363. 363 What is the common denominator of -49/96 and -181/60? 480 Calculate the smallest common multiple of 126 and 15. 630 What is the smallest common multiple of 4154 and 20? 41540 Calculate the smallest common multiple of 5593 and 7990. 55930 Calculate the common denominator of 37/392 and -9/112. 784 Calculate the smallest common multiple of 16 and 38. 304 Calculate the least common multiple of 10 and 321. 3210 Calculate the lowest common multiple of 128 and 13. 1664 What is the common denominator of 47/6264 and 149/174? 6264 What is the common denominator of 37/175 and 59/250? 1750 What is the common denominator of -51/20 and 77/640? 640 What is the smallest common multiple of 216 and 32? 864 What is the common denominator of -119/36 and 121/10? 180 Calculate the common denominator of 149/102 and -1/62. 3162 What is the lowest common multiple of 85 and 55? 935 Calculate the lowest common multiple of 46 and 276. 276 Find the common denominator of 73/144 and -41/72. 144 What is the smallest common multiple of 130 and 1015? 26390 Calculate the common denominator of 59/810 and 157/90. 810 What is the least common multiple of 8 and 224? 224 Find the common denominator of -59/80 and -79/60. 240 Calculate the smallest common multiple of 34 and 176. 2992 Calculate the least common multiple of 8 and 154. 616 Calculate the common denominator of 58/745 and -23/50. 7450 What is the least common multiple of 330 and 3? 330 What is the common denominator of 93/2 and -5/138? 138 What is the common denominator of 62/135 and -97/9234? 46170 Calculate the least common multiple of 13769 and 5. 68845 What is the lowest common multiple of 4 and 946? 1892 What is the common denominator of 7/99 and 56/45? 495 Calculate the common denominator of -89/252 and 181/420. 1260 Calculate the lowest common multiple of 4 and 2155. 8620 Calculate the least common multiple of 1380 and 828. 4140 Calculate the smallest common multiple of 6 and 138. 138 What is the common denominator of -3/1324 and -61/12? 3972 What is the lowest common multiple of 614 and 6? 1842 Calculate the lowest common multiple of 11 and 183. 2013 What is the least common multiple of 715 and 150? 21450 Calculate the smallest common multiple of 312 and 1350. 70200 Find the common denominator of 63/515 and -34/4635. 4635 Calculate the smallest common multiple of 44 and 88. 88 What is the common denominator of 97/12 and -10/21? 84 What is the common denominator of 31/200 and 131/120? 600 What is the least common multiple of 866 and 20? 8660 What is the least common multiple of 112 and 140? 560 Calculate the smallest common multiple of 560 and 42. 1680 Calculate the common denominator of 113/24 and 95/276. 552 What is the smallest common multiple of 530 and 742? 3710 Find the common denominator of -28/45 and -22/677. 30465 Calculate the common denominator of 51/44 and -127/630. 13860 Calculate the common denominator of -15/1138 and -9/8. 4552 Calculate the lowest common multiple of 248 and 310. 1240 Find the common denominator of 33/26 and -44/13. 26 What is the lowest common multiple of 150 and 177? 8850 What is the common denominator of -89/216 and 76/81? 648 Calculate the common denominator of -103/360 and -49/432. 2160 Calculate the common denominator of 49/4528 and -9/8. 4528 What is the least common multiple of 184 and 15? 2760 What is the smallest common multiple of 232 and 377? 3016 Find the common denominator of -91/282 and -95/732. 34404 Calculate the common denominator of -38/329 and -45/8. 2632 What is the smallest common multiple of 16 and 8? 16 Calculate the least common multiple of 910 and 1690. 11830 What is the common denominator of -89/1080 and -9/272? 36720 Calculate the common denominator of -67/10 and -101/20. 20 What is the common denominator of -133/6 and -13/474? 474 What is the smallest common multiple of 15 and 18? 90 What is the common denominator of -97/594 and -127/108? 1188 Calculate the lowest common multiple of 1526 and 6. 4578 What is the smallest common multiple of 15 and 108? 540 Calculate the common denominator of 36/803 and -51/511. 5621 Find the common denominator of 62/345 and -119/30. 690 What is the common denominator of 55/1982 and 11/18? 17838 What is the common denominator of 9/205 and 82/15? 615 Find the common denominator of 1/416 and 83/832. 832 Calculate the least common multiple of 3410 and 121. 37510 Calculate the common denominator of -71/132 and 1/456. 5016 What is the lowest common multiple of 24 and 1293? 10344 Calculate the common denominator of 13/20 and -107/52. 260 What is the common denominator of 77/90 and 11/68? 3060 Find the common denominator of 83/1014 and 49/5577. 11154 Find the common denominator of -17/16 and -29/6424. 12848 Calculate the common denominator of 28/495 and 67/220. 1980 What is the common denominator of 137/1650 and -31/2? 1650 What is the common denominator of 99/4 and 35/38? 76 Calculate the lowest common multiple of 42 and 28. 84 What is the common denominator of -117/10 and 53/384? 1920 What is the common denominator of 53/28 and -47/35? 140 Calculate the least common multiple of 32 and 160. 160 What is the lowest common multiple of 704 and 13? 9152 What is the least common multiple of 57 and 228? 228 Calculate the smallest common multiple of 154 and 1628. 11396 Calculate the common denominator of -69/40 and 47/634. 12680 What is the common denominator of 77/69 and -41/2001? 2001 Calculate the least common multiple of 18 and 825. 4950 Find the common denominator of 71/104 and -79/117. 936 Find the common denominator of 68/99 and -26/69. 2277 Find the common denominator of -151/84 and 34/9. 252 Calculate the lowest common multiple of 20 and 6484. 32420 Calculate the lowest common multiple of 26 and 143. 286 Find the common denominator of 91/328 and 31/56. 2296 Calculate the common denominator of 8/165 and 8/3. 165 Find the common denominator of -79/24 and -37/147. 1176 What is the lowest common multiple of 63 and 7? 63 What is the least common multiple of 64 and 1016? 8128 What is the smallest common multiple of 22 and 808? 8888 What is the common denominator of 73/420 and -11/54? 3780 Calculate the common denominator of -71/9 and -71/4704. 14112 Calculate the smallest common multiple of 54 and 12. 108 Calculate the common denominator of -19/36 and -139/144. 144 Find the common denominator of -20/2261 and -26/5. 11305 What is the smallest common multiple of 378 and 378? 378 What is the least common multiple of 206 and 2266? 2266 Calculate the common denominator of -74/21 and 127/1086. 7602 Calculate the common denominator of 121/1710 and 151/36. 3420 What is the smallest common multiple of 5722 and 6? 17166 What is the common denominator of -18/77 and -73/66? 462 Calculate the least common multiple of 30 and 710. 2130 Calculate the common denominator of -51/304 and -93/80. 1520 What is the smallest common multiple of 48 and 122? 2928 Calculate the common denominator of -41/24 and -5/36. 72 What is the common denominator of -29/780 and -79/390? 780 What is the least common multiple of 6 and 154? 462 Find the common denominator of -31/680 and 47/20. 680 What is the smallest common multiple of 544 and 340? 2720 Calculate the lowest common multiple of 44 and 10835. 43340 Calculate the common denominator of 61/10 and 71/10. 10 What is the common denominator of -17/658 and 39/94? 658 Calculate the common denominator of 109/450 and -53/250. 2250 Calculate the lowest common multiple of 2050 and 1640. 8200 Calculate the common denomin
{ "pile_set_name": "DM Mathematics" }
is greater: 67/7 or v? v Let p(n) be the second derivative of n**5/20 - n**4/4 - 3*n**3/2 - n**2 + 5*n. Let j be p(4). Let x be -19*1 - (5 - 3). Which is greater: j or x? x Let g = -9880 + 9879. Is -3420 at most g? True Suppose -22*f + 17*f = -3*q + 1033, -1412 = -4*q - 2*f. Which is smaller: 2/5 or q? 2/5 Let f be (-11 + -52)/(-9) + -3. Let b = 7.222 + -0.022. Let v = -7 + b. Which is smaller: f or v? v Let o = -115517/198 - -817/99. Is o > -574? False Let a(s) = 2*s**2 - 8*s - 11. Let w be a(5). Let p be 54971/(-588) + 2/(-8). Let k = p + 278/3. Does k = w? False Suppose -3*a = 6*m - 4*m - 1727, 2*m - 4*a = 1706. Let o = 915 - m. Which is bigger: 59 or o? 59 Let f(a) = -a**3 + 2*a**2 - 7*a + 32. Let p be f(3). Suppose -5*r + p*n - 7 = 0, -2*r - 4*n + 1 = -n. Is -15/38 != r? True Suppose 2*w = 6*w - 8. Let m = 78285 - 78275. Which is smaller: w or m? w Let s = 9120 + -191521/21. Does s = -0.334? False Let z = -12 + 0. Let b(i) = -2*i**3 - 19*i**2 + 120*i + 1100. Let n be b(-10). Which is smaller: z or n? z Let u(k) = 2*k**2 + 132*k - 257. Let o be u(-58). Which is greater: -1186 or o? o Let u(f) = -8*f + 278. Suppose 3*g + 2*x - 54 = 0, 19*x - 18*x = -4*g + 72. Let k be u(g). Is 135 greater than or equal to k? True Suppose 12*b - 146*b - 850 = 36*b. Suppose 4*s + s = -5*f + 45, 2*f - 5*s - 25 = 0. Let t be ((-8)/f)/((-3)/(-15)). Do t and b have the same value? False Let g = 3.81 - -0.19. Let w = -1.31 - 7.99. Let b = w - -0.3. Which is smaller: g or b? b Let z(p) = -p**3 - 13*p**2 - 22*p + 39. Let h be z(-13). Suppose -5*v = -4*r - 777, h = -2*r - 5*v - 86. Is -198 not equal to r? False Let q = 462532/3 - 152340. Is 1837 greater than or equal to q? False Suppose 2*o - 28 = -4*k, 2*o - 30 = -o - 3*k. Suppose 0 = o*y - 4*y - 68. Suppose u + 3*u - y = -2*n, n + 53 = 5*u. Is -1 at most u? True Let r = -5673 - 9342. Is 1/2 at most as big as r? False Let k = 3.052 - 4.03. Let r = 0.022 - k. Is r <= -266? False Let a = 2392 - 2341. Is a at least as big as 38? True Suppose -2*g = -g + x - 2, -2*g - 11 = 5*x. Suppose r = o - g, r = 4*o - r - 32. Let p = -51820/9 - -5758. Which is smaller: p or o? p Let v = 1333 + -1331. Suppose -4*p + 45 = -3*p. Which is smaller: p or v? v Let c = -73.22 - -0.22. Let s = -88 + c. Which is bigger: 0.1 or s? 0.1 Suppose 34*u + 14*u + 68*u = 0. Does u = 1/4741? False Let j = -1028 - -1034. Which is smaller: j or -277? -277 Let v = 4600.621 + 14.379. Is v > -1/3? True Let d = -41976 - -41976. Let m = 175919329/157739760 - -6/219083. Let h = m + -1/240. Which is greater: h or d? h Let r = 5952 - 5247. Which is bigger: 704 or r? r Suppose -2*l - 3*a = 25, 7*l - 10*l - 39 = 3*a. Let q be 4/8*1316/l. Which is smaller: q or 4? q Let k = 45.04 + -30.04. Is -2 bigger than k? False Suppose 21*n - 3850 = 392. Let t = 159 - n. Is t at most -43? True Let k = -4001960/1059 - -3779. Let t = -5222 + 5221. Is t less than or equal to k? True Suppose 517*j = 514*j + u + 3974, -1320 = -j - 2*u. Which is greater: 1323 or j? j Let i be 3 - 1 - 43 - 1. Suppose -7*w + 4*w + o + 245 = 0, 5*o - 5 = 0. Suppose -4*t + w = -2*h, -164 = 3*h + h + 4*t. Which is smaller: i or h? i Let u = -2431 + 2432. Which is smaller: u or 2/985? 2/985 Suppose n + 72 = -7*n. Let o be (54/n)/(-3 - 87/(-28)). Is -56 at least as big as o? True Let i(m) = 24*m + 223. Let t be i(-6). Let x be -2 - (381/(-3))/(t + -8). Do -1 and x have the same value? False Suppose 3*d = -4*g - 1568, 0 = -86*d + 83*d + 5*g - 1496. Is d less than -4604/9? True Let p be -2 + 2 - 19/(-1). Let r be 99*5*55/25. Let y = r + -1071. Is p at most y? False Suppose 5*l - 37 = -4*t, -5*l + 64 - 9 = -5*t. Suppose -l*b - 66 = -3*b. Let w be 31/b + -1 + 4. Which is smaller: w or 2? w Let o = -976.5 - -976. Let d(v) = -v**2 - 6*v - 7. Let y be d(-7). Let r = 23 + y. Which is smaller: o or r? o Let o be (-2)/1 - (-2 - -33). Let x(z) = 6*z**2 + 1. Let k(u) = -17*u**2 - 29*u - 331. Let y(t) = k(t) + 3*x(t). Let h be y(37). Is o greater than h? False Let j(w) = 10*w + 8*w + 11*w - 3 - 25*w + 3*w**2 - w. Let c(u) = -u + 5. Let a be c(4). Let t be j(a). Which is smaller: 16/5 or t? t Let s be (58/(-87))/((-2)/(-1764)). Which is greater: s or -585? -585 Let x be (-85)/(-51)*9/15. Let u = -39 - -29. Let r be 4/u*30/99. Is x equal to r? False Let s = 48.9 - 43.7. Which is bigger: -0.07 or s? s Let d = 4151 + -4186. Let p(g) = -g**2 + 10*g + 3. Let t be p(13). Which is smaller: t or d? t Let i = 2471.8 + -2278. Which is bigger: 0.4 or i? i Suppose 0 = 4*y + 24*d + 1136, 3*y = -5*d - 40 - 851. Which is smaller: y or -292? y Let v(z) = -z**2 - 8*z - 4. Let i be v(-5). Let r be (-34)/85 + 34/10. Suppose x = r*x - 18. Which is greater: x or i? i Suppose h - 5*h = -5*u + 4, -4*h = 4*u + 40. Which is greater: h or -189/26? h Let o = -2/13921 + 13927/41763. Which is greater: o or -5274? o Let l(o) = o**2 + 7*o - 6. Let g be l(-9). Let q be -36*1/(g - -2). Suppose -14 = m - 4*z, 3*z + 4 - 7 = -3*m. Which is smaller: m or q? q Suppose -5*h - 3*i + 70 = -8*i, -5*h + 34 = i. Is 0 less than or equal to h? True Let i(p) = p**2 - 19*p - 10. Let g be i(6). Let z = 5.3 - 6.3. Is g equal to z? False Let n be 168/184 + (-8)/(-92). Let f = -11 + 10. Let d be (f - 27/(-15)) + 0. Which is bigger: n or d? n Suppose -2*q = 0, 0 = -4*z - q - q + 1104. Suppose -4*m + m = -z. Do 90 and m have different values? True Let x = -1211.1 - 486.9. Which is smaller: x or 0? x Suppose -4*t + 3*r = -1174, -r = 1385*t - 1386*t + 294. Is 316 <= t? False Let x be (0 - 0) + (-4 - (-506)/110). Let w = -0.28 - 0.42. Which is smaller: x or w? w Let a be ((-153)/16)/(41/738). Which is bigger: -171 or a? -171 Suppose -h + 5*h = h. Let r(y) = y**2 + 5*y + 19. Let w be r(h). Suppose 4*a - 24 + 10 = 2*p, -p - 2*a - w = 0. Which is smaller: -15 or p? -15 Let r be ((-3)/2)/(2 + (-15)/6). Suppose r*z = -5*a + 213 + 247, 0 = 2*z + 4*a - 308. Is 149 <= z? True Let r(p) = p + 14. Let z be r(-11). Suppose b - 5*c - 2 = 24, -2*b - z = c. Let o be 0*b/(-1 - -3). Which is smaller: -3/73 or o? -3/73 Let w be 4184/(-262) + (1447 - 1431). Let c be (-1 - -2 - 1)/2. Which is smaller: w or c? c Let r = 3.61 - 0.91. Let u = 15.3 - r. Let x = u + -2.6. Are x and -1 unequal? True Let u = 207.9 - 34.9. Let t = 91 - u. Let y = t + 79. Is y bigger than 1/9? False Suppose -2*v = 5*b + 17, 22*b + 4*v = 20*b + 6. Do b and -201/53 have the same value? False Let y = 0 + 0. Let r be 1 - 18/135*489/11. Let s = 26/5 + r. Which is smaller: y or s? y Let q = 522 + -1226. Let w = 2110/3 + q. Is 176 bigger than w? True Suppose -294*r + 208*r - 86 = 0. Do -20/73 and r have different values? True Let z = 2693 + -2040. Which is smaller: 651 or z? 651 Let q = -4839 - -5650. Is q >= 812? False Let o = -1976 - -1978. Let f be ((-825)/(-273))/((-2)/(-2)). Let m = f - 30/13. Is m at most as big as o? True Suppose 3*b + 152 = -190. Let v be (35/(-2))/(-7)*b/(-5). Let l = v + -56. Which is greater: -5/12 or l? l Let u(h) = -h - 6. Let v be u(-5). Let g = -41246/13 + 948671/299. Which is bigger: v or g? g Suppose 13*a = 1233 + 2706. Do 303 and a have different values? False Let x(f) be the third derivative of 3*f**4/8 + 41*f**2 + f. Let v be x(-12). Which is smaller: -107 or v? v Let t = -0.27 + -0.08. Let x = 321422.97 + -321423. Do t and x have the same value? False Suppose -7*k + 23889 - 4380 = 0. Let g = k - 1881. Let m be (9/(-12))/(g/(-16)). Which is smaller: -1 or m? -1 Suppose -14 = m + 4*n, -9*m = -6*m - 2*n. Let q be (44/55)/(m*(-1)/(-10)). Is -7 not equal to q? True Let a be (5 - 1)*98/7. Let o = a - 69. Is o equal to 4? False Suppose -127 - 35 = 3*p. Let v = -40 - p. Let z be (-26)/143 - (-2)/((-88)/v). Is 0.9 at most as big as z? False Let m(n) = 2*n**3 + 138*n**2 - 141*n - 72. Let a be m(-70). Which is bigger: -151.8 or a? a Let b be (-3)/141756*-2*4. Which is greater: 0 or b? b Let x(b) = 30*b + 734*b**2 - 9*b + 4*b - 733*b**2 - 1. Let p be x(-25). Which is smaller: p or -4/133? p Let t be 3764090/209*2/5. Is 7204 bigger than t? False Let k be ((-16)/(-8))/((-2)/(-5)). Let o(r) = 20*r + 5. Let i be o(k). Is 105 > i? False Let i be (-386)/16 + 56/448 + 9. Is -185 bigger than i? False Let l be ((-2)/(-7432568))/((119/41907446)/17). Let h = l - 2001/1898. Let b = -1/89 + h. Is b greater t
{ "pile_set_name": "DM Mathematics" }
. What is the remainder when u is divided by l? 5 Let o(c) = -23*c - 20. Let u be o(-5). Let z = -47 + u. Calculate the remainder when z is divided by 14. 6 Suppose 8*s - 590 = 3*s. What is the remainder when s is divided by (-267)/(-9) - 2/(-6)? 28 Calculate the remainder when 196 is divided by 896/50 + (-72)/(-900). 16 Let u(l) = 2*l**2 - 3*l - 4. Suppose 0 = 2*t - 4. Suppose -p - d = -2*p + 7, -t*d - 22 = -4*p. What is the remainder when 29 is divided by u(p)? 13 Suppose -3*k - 4*u = -336, k - 111 = -0*k - u. Calculate the remainder when k is divided by -1 + 2 + 6 + 31. 32 Let k(l) = l**3 + 11*l**2 + l + 26. Suppose -4*m - 64 = 4*j, -j - j - 5*m - 47 = 0. What is the remainder when 58 is divided by k(j)? 13 Suppose 35 = -6*o - o. Let m be -87 + o - (-1 + 1). Let c = -37 - m. Calculate the remainder when c is divided by 14. 13 Let z = -8 + 11. Suppose 78 = -45*o + 213. What is the remainder when o is divided by z? 0 Suppose 3*o + 3*t - 126 = 0, 3*t + 9 = -0*t. What is the remainder when 224 is divided by o? 44 Calculate the remainder when (-22)/(-77) - 278/(-7) is divided by 17. 6 Let y = 1033 + -1029. What is the remainder when 6 is divided by y? 2 Let u be (2497/22)/(2/4). Suppose 4 = 3*j - 5*j, -5*k + u = -j. Suppose -k = -8*s + 3*s. What is the remainder when 15 is divided by s? 6 Let u be (6/5)/(6/80). Suppose -4*g + 4*q + u = q, -3*q - 20 = -5*g. What is the remainder when g is divided by 1? 0 Suppose 4*w - 6 - 10 = 0. Suppose w*r - 74 + 14 = 0. What is the remainder when 29 is divided by r? 14 Let c = 60 + 25. Suppose 8*p - 3*p = c. What is the remainder when p is divided by 5? 2 Suppose -5*o = 2*a - 20, -5*a + 2*o + 35 - 14 = 0. Suppose 14 = 3*r + a. Suppose -r*i = 2*i - 30. What is the remainder when 11 is divided by i? 5 Calculate the remainder when (-261)/((-153)/171 + (-2)/19) is divided by 75. 36 Suppose -6*u = -3*u - 255. Suppose 0 = -3*l + u - 4. Suppose 3*o + 2*y + 14 = 50, o - 3*y = 23. Calculate the remainder when l is divided by o. 13 Let v(r) = r**3 + 5*r**2 - 49*r - 214. What is the remainder when 141 is divided by v(-6)? 9 Suppose -269*a + 272*a - 354 = 0. What is the remainder when a is divided by 20? 18 Let f = -37 + 25. Let b = 13 + f. Suppose r - 5 = -b. Calculate the remainder when 5 is divided by r. 1 Let s = -225 - -242. What is the remainder when 186 is divided by s? 16 Let y = -376 - -411. Calculate the remainder when y is divided by 12. 11 What is the remainder when 84 is divided by ((-8)/(24/159) + 6)/(-1)? 37 Suppose -7*m + 542 = 437. Suppose -4*z - 5*b = -92, 0 = -2*b - 3*b. Calculate the remainder when z is divided by m. 8 Suppose -y + 3 = 2. Let u = 14 + y. Let v = -23 - -81. Calculate the remainder when v is divided by u. 13 Let d be 36 + (-2 - -1) + 1. Let u = 96 + -52. What is the remainder when u is divided by 20/6*d/10? 8 Let p = 262 - 255. What is the remainder when p is divided by 6? 1 Suppose -4*x = 4*r - 124, 3*r + 3*x - 93 = -x. Let u = -26 + r. Suppose 0 = u*i - 2*m - 52, -2*i + 4*m = -20 - 4. What is the remainder when 27 is divided by i? 7 Suppose 41*s = 34*s + 462. Calculate the remainder when 522 is divided by s. 60 Let z be 3/36*9*-28. What is the remainder when (0 - -69)*(-14)/z is divided by 6? 4 Let v = 19 - 13. What is the remainder when (44/(-5))/((-68)/170) is divided by v? 4 Let p(k) = -k + 8. Suppose -6*s = -3*s - 12. What is the remainder when p(0) is divided by s? 0 Let v(h) = -20*h**3 + 3*h**2 - h + 5. What is the remainder when v(-2) is divided by 61? 57 Suppose 0 = 280*c - 261*c - 1653. Calculate the remainder when c is divided by 52. 35 Let m = 21 + -3. Let a be (-40)/(-16)*6/5. Suppose a*w + 2*x - 40 = 52, -4*x = -5*w + 190. Calculate the remainder when w is divided by m. 16 Let w = -6 - -11. Suppose 0 = 4*c - 3*n - 27, 3*c + n - w = -1. Calculate the remainder when 71*c/3 - -2 is divided by 19. 16 Suppose -4*c + 0*c + 8 = 4*a, 5*c + 2*a = 13. Calculate the remainder when (c/6)/((0 + 2)/92) is divided by 10. 3 Let o(w) = -7*w - 14. Let v = -1 - 2. Calculate the remainder when 34 is divided by o(v). 6 Calculate the remainder when 123 is divided by (-1743)/(-70) - (-4)/40. 23 Let o = 8 + 3. Suppose -o*s = -14*s + 78. What is the remainder when s is divided by 14? 12 Let p be (-4)/(-1 - 7)*0 + 1. Suppose w - p = 13. Calculate the remainder when 122 is divided by w. 10 Calculate the remainder when (-1 - 4)*-1 - (-2 + -17) is divided by 12. 0 Let w(k) = -94*k - 92. What is the remainder when w(-4) is divided by 41? 38 Let s(a) = -2*a**3 - 12*a**2 + 18*a + 16. What is the remainder when s(-10) is divided by 64? 60 Let d(y) = -y**2 - 5*y + 10. What is the remainder when 20 is divided by d(-6)? 0 Suppose 545 = 5*r - 3*i, 3*r = 8*r + 3*i - 575. Let h = r - 45. What is the remainder when h is divided by 17? 16 Let c(m) = -m + 3. Let u(n) = 0*n**2 + 5*n + 9*n**3 + 6 + 6*n**2 - 8*n**3. Calculate the remainder when c(-8) is divided by u(-5). 5 Suppose -5*x = 5, -13 = -4*a + 2*x + 25. What is the remainder when 3/(a/75)*1 is divided by 16? 9 Let h(a) = -4*a**3 - 33*a**2 + 18*a + 1. Calculate the remainder when h(-9) is divided by 32. 18 Let t = -40 + 71. Let s = t - 20. What is the remainder when 21 is divided by s? 10 Let a be 5*(1/(-1) + 21/15). Suppose -1 = -a*b + 3, 3*b = u - 27. What is the remainder when 64 is divided by u? 31 Suppose 5*b - 80 = 4*x - 401, -2*b - 380 = -5*x. What is the remainder when 188 is divided by x? 40 Suppose 220 = 5*q - 85. Suppose -o = -0*o - 16. What is the remainder when q is divided by o? 13 Let g(k) = k**2 + k - 8. Let m be g(0). Let v be 5*-4*2/m. Let c(l) = -l**3 + 5*l**2 + 3*l + 1. Calculate the remainder when 45 is divided by c(v). 13 What is the remainder when 2001 is divided by 112/36*279/62? 13 Let w(b) = -b**2 - 12*b + 9. Let j be w(-7). Suppose -22*d = -18*d - j. What is the remainder when 31 is divided by d? 9 Suppose -10 = 5*w - 3*c + 5, -c = -4*w - 12. Calculate the remainder when (w + (-36)/(-8))*4 is divided by ((-4)/(-14))/((-4)/(-56)). 2 Let c = 354 - 248. Let t(w) = 566*w - 3908. What is the remainder when c is divided by t(7)? 52 Suppose -z - 5 = 4*z, 2*z = u + 17. Let v(a) = -5*a - 28. What is the remainder when v(u) is divided by 17? 16 Let a(w) = -2*w - 10. Let p be a(5). Let h be 2/9 + p/9. Calculate the remainder when 5/((-3)/84*h) is divided by 18. 16 Suppose -a - 4*a = -4*t - 100, -2*t + 58 = 2*a. Suppose 0 = 2*p + 4*k - 210, -4*p - 6*k + 3*k = -395. Calculate the remainder when p is divided by a. 23 Suppose -57 = -2*i + i. Let c = -10 - 1. Let f(w) = -w**3 - 11*w**2 - 2*w - 7. What is the remainder when i is divided by f(c)? 12 Let t be -2 - (-11)/2 - (-6)/(-12). Let z(r) = -r + 6*r**3 - 4*r**3 - 1 - 3*r**2 + r**2 + 3. Calculate the remainder when z(t) is divided by 9. 8 Suppose 2*w = -5*x + 34, w - 10 = -2*x + 7. Let p be 212/6 + (-2)/(-3). Calculate the remainder when w is divided by p/(-9)*(-18)/8. 8 Let m(t) = 6*t**3 - t**2 + t. Let r be m(1). Let k be 15/r*(-4)/(-5). Suppose -2 = k*a + n - 7, 15 = -a - 4*n. Calculate the remainder when 14 is divided by a. 4 Let u(s) = s**2 + 10*s - 19. Let l be u(-13). Suppose -i = -l + 7. What is the remainder when 17/(14/6 - 2) is divided by i? 12 Let z(t) = -t**3 + 2*t**2 + 3. Let s be z(3). Let b = s + 9. Calculate the remainder when 41 is divided by 21 - (b + -4*1). 19 What is the remainder when 2*10*(-185)/(-20) is divided by 21? 17 Suppose 20 = 2*q + n, -2*q + 3*n = -38 + 26. Let d(m) = -m**2 + 18*m**2 - m + 2*m. What is the remainder when d(-1) is divided by q? 7 Let x be (-15)/(-4) - (-5)/20. Suppose -x + 6 = o. Suppose d = b - 7, -2*b - 2*d = 4 - 2. What is the remainder when b is divided by o? 1 Let u be (10/7)/((-2)/(-14)). Suppose -a + 4 = -u. What is the remainder when 1*(28 + (-15)/5) is divided by a? 11 Suppose 0 = 27*m + 24*m - 13413. Calculate the remainder when m is divided by 93. 77 Let o(q) = 5*q**2 - 12*q + 30. Let x(k) = k**2 + k. Let l(y) = -o(y) + 6*x(y). What is the remainder when 23 is divided by l(-20)? 3 Let n(h) = -10*h**2 - h + 1. Let t be n(-2). Let s = -19 - t. What is the remainder when 69 is divided by s? 15 Let x = 10 + -5. What is the remainder when (-63)/(-3) - ((-52)/(-4) - 6) is divided by x? 4 Suppose -68*l = -5*f - 71*l + 692, 0 = 2*f - 2*l -
{ "pile_set_name": "DM Mathematics" }
2? 2 What is the greatest common factor of 323 and 17? 17 Calculate the highest common divisor of 108 and 180. 36 Calculate the highest common factor of 1701 and 54. 27 Calculate the greatest common factor of 66 and 1419. 33 Calculate the highest common divisor of 14352 and 144. 48 What is the highest common factor of 1897 and 7? 7 What is the greatest common divisor of 250 and 1125? 125 Calculate the greatest common divisor of 128 and 8. 8 Calculate the highest common factor of 785 and 314. 157 What is the highest common divisor of 481 and 37? 37 Calculate the highest common factor of 8 and 2564. 4 Calculate the greatest common factor of 1 and 89. 1 Calculate the highest common factor of 245 and 140. 35 What is the highest common factor of 28 and 2870? 14 Calculate the highest common factor of 124 and 434. 62 What is the greatest common divisor of 625 and 25? 25 What is the highest common factor of 46 and 1081? 23 Calculate the greatest common factor of 286 and 836. 22 Calculate the greatest common divisor of 12 and 4476. 12 Calculate the greatest common divisor of 23984 and 32. 16 What is the greatest common factor of 570 and 18? 6 Calculate the greatest common factor of 153 and 34. 17 Calculate the greatest common factor of 9354 and 6. 6 What is the highest common factor of 3611 and 207? 23 Calculate the greatest common divisor of 403 and 1023. 31 What is the greatest common factor of 88 and 56? 8 Calculate the greatest common divisor of 11 and 649. 11 Calculate the highest common factor of 3465 and 175. 35 Calculate the greatest common factor of 129 and 59727. 129 What is the greatest common divisor of 3 and 141? 3 What is the greatest common divisor of 5508 and 68? 68 What is the highest common divisor of 1849 and 989? 43 Calculate the highest common divisor of 4 and 46. 2 What is the highest common divisor of 189 and 651? 21 What is the greatest common divisor of 385 and 33? 11 Calculate the greatest common divisor of 14 and 164. 2 What is the highest common divisor of 11269 and 118? 59 Calculate the highest common divisor of 11 and 11. 11 Calculate the highest common divisor of 297 and 36. 9 Calculate the highest common divisor of 620 and 1085. 155 Calculate the highest common factor of 654 and 54. 6 Calculate the highest common factor of 180 and 75. 15 What is the greatest common factor of 572 and 154? 22 Calculate the highest common factor of 2125 and 2375. 125 Calculate the highest common factor of 147 and 35. 7 Calculate the highest common factor of 180 and 42. 6 What is the highest common divisor of 816 and 48? 48 What is the greatest common divisor of 9 and 63? 9 What is the highest common factor of 63 and 105? 21 Calculate the greatest common divisor of 43520 and 170. 170 Calculate the greatest common factor of 25 and 2425. 25 What is the greatest common divisor of 7284 and 48? 12 Calculate the greatest common divisor of 18 and 2691. 9 What is the greatest common divisor of 43 and 3? 1 What is the greatest common factor of 1144 and 7592? 104 Calculate the greatest common factor of 208 and 754. 26 Calculate the highest common divisor of 112 and 3024. 112 Calculate the greatest common factor of 35 and 266. 7 Calculate the highest common divisor of 46 and 368. 46 What is the greatest common divisor of 1615 and 95? 95 Calculate the greatest common divisor of 37 and 592. 37 What is the greatest common divisor of 3 and 81? 3 What is the highest common divisor of 2150 and 50? 50 What is the highest common factor of 48 and 138? 6 What is the highest common divisor of 24871 and 418? 209 Calculate the greatest common factor of 190 and 23085. 95 What is the highest common divisor of 472 and 40? 8 What is the highest common factor of 16 and 8? 8 Calculate the highest common factor of 14 and 413. 7 Calculate the greatest common factor of 533 and 205. 41 What is the greatest common divisor of 2485 and 35? 35 What is the greatest common factor of 12228 and 12? 12 What is the highest common factor of 2825 and 25? 25 What is the greatest common factor of 33 and 319? 11 What is the highest common divisor of 48 and 708? 12 What is the greatest common factor of 35 and 1345? 5 Calculate the greatest common divisor of 15 and 21. 3 What is the greatest common factor of 261 and 319? 29 Calculate the highest common divisor of 901 and 2597. 53 Calculate the greatest common divisor of 51 and 918. 51 Calculate the greatest common factor of 230 and 10. 10 Calculate the highest common divisor of 832 and 104. 104 Calculate the highest common divisor of 531 and 7788. 177 What is the greatest common divisor of 108 and 11502? 54 Calculate the greatest common divisor of 160 and 15. 5 Calculate the highest common divisor of 30 and 1140. 30 What is the highest common divisor of 16 and 44? 4 Calculate the greatest common factor of 1581 and 51. 51 Calculate the greatest common factor of 7627 and 290. 29 Calculate the greatest common factor of 16 and 176. 16 What is the highest common divisor of 5289 and 492? 123 What is the highest common divisor of 272 and 2584? 136 Calculate the highest common factor of 276 and 84. 12 What is the highest common factor of 3087 and 63? 63 What is the highest common factor of 9 and 3? 3 Calculate the highest common divisor of 50 and 575. 25 Calculate the highest common divisor of 68 and 595. 17 Calculate the greatest common factor of 1325 and 12455. 265 Calculate the highest common divisor of 8710 and 90. 10 What is the greatest common divisor of 512 and 640? 128 What is the greatest common factor of 3680 and 32? 32 Calculate the highest common factor of 1197 and 36. 9 What is the highest common factor of 517 and 22? 11 What is the highest common divisor of 69 and 1035? 69 What is the greatest common factor of 153 and 24? 3 What is the greatest common factor of 160 and 10? 10 What is the greatest common divisor of 92 and 2484? 92 Calculate the highest common divisor of 976 and 2256. 16 What is the greatest common divisor of 39 and 221? 13 Calculate the greatest common factor of 54 and 189. 27 What is the greatest common factor of 287 and 533? 41 What is the greatest common factor of 4056 and 169? 169 Calculate the highest common divisor of 2744 and 7. 7 Calculate the greatest common divisor of 625 and 400. 25 Calculate the greatest common factor of 56 and 504. 56 What is the greatest common divisor of 69 and 102? 3 Calculate the highest common divisor of 6 and 96. 6 What is the greatest common divisor of 2465 and 2720? 85 Calculate the greatest common divisor of 56 and 140. 28 What is the greatest common factor of 9 and 27? 9 What is the greatest common factor of 48 and 312? 24 What is the greatest common divisor of 63 and 1596? 21 Calculate the greatest common factor of 240 and 1032. 24 Calculate the highest common divisor of 50 and 275. 25 What is the greatest common factor of 24 and 36? 12 Calculate the greatest common factor of 9 and 126. 9 Calculate the greatest common divisor of 209 and 55. 11 What is the greatest common factor of 90 and 200? 10 What is the highest common factor of 50 and 90? 10 What is the greatest common divisor of 50 and 1550? 50 What is the greatest common divisor of 10 and 745? 5 What is the greatest common divisor of 273 and 663? 39 Calculate the greatest common factor of 72 and 378. 18 Calculate the greatest common factor of 19726 and 14. 14 What is the greatest common factor of 1034 and 253? 11 Calculate the greatest common divisor of 207 and 1173. 69 Calculate the greatest common divisor of 2896 and 80. 16 Calculate the highest common divisor of 12901 and 97. 97 What is the highest common divisor of 282 and 8601? 141 Calculate the greatest common factor of 21190 and 65. 65 Calculate the greatest common divisor of 4520 and 104. 8 What is the highest common divisor of 20850 and 10? 10 Calculate the highest common factor of 344 and 8. 8 Calculate the greatest common divisor of 25 and 475. 25 Calculate the highest common factor of 10 and 1790. 10 Calculate the greatest common factor of 15 and 15. 15 What is the highest common divisor of 60 and 10980? 60 Calculate the highest common factor of 630 and 180. 90 Calculate the highest common divisor of 4017 and 39. 39 What is the highest common divisor of 315
{ "pile_set_name": "DM Mathematics" }
pose 2*l = 3*i + 3 - 15, 8 = 2*i - 5*l. Let t be 6 - (-1 + i - 1). List the prime factors of 52/t + -2 + 0. 11 Let v = -6 - -10. Suppose -v*s + 35 = s. What are the prime factors of s? 7 Let f = -79 + 156. List the prime factors of f. 7, 11 Let a(t) = 2*t + 28. What are the prime factors of a(-9)? 2, 5 Let v = -37 + 97. Suppose v = -3*t - t. What are the prime factors of 1/(-2 + (-33)/t)? 5 Let i(a) be the second derivative of -7*a**3/3 - 6*a. List the prime factors of i(-1). 2, 7 Let o(b) = -b**3 + 5*b**2 + 8*b - 6. Let n be o(6). Let g(u) = -u**2 + 9*u - 6. What are the prime factors of g(n)? 2, 3 Let h(c) = 12*c**2 + 2*c + 4. Let z(q) = q**2 - 1. Let j(t) = h(t) + z(t). List the prime factors of j(-2). 3, 17 Let i = 92 + -66. List the prime factors of i. 2, 13 Let a(l) = -14*l - 3. List the prime factors of a(-6). 3 Let w = -48 - -70. What are the prime factors of w? 2, 11 Suppose 15 = -2*r + 127. What are the prime factors of r? 2, 7 Let y = -4 - -3. Suppose 0 = 5*s - 4*m - 22, -3 + 12 = -3*m. List the prime factors of s/3*(-9)/y. 2, 3 Suppose c = -2*g - c + 2, 22 = 4*g - 5*c. Suppose g*u - 33 = -h, h - 3*u - 39 = -h. What are the prime factors of h? 2, 3 Let j(s) be the first derivative of s**4/4 - 5*s**3/3 - s**2 - 3*s - 4. List the prime factors of j(6). 3, 7 What are the prime factors of ((-18)/15)/(1/(-10))? 2, 3 Let t(y) = -12*y - 1. Let a be t(-1). Let h = 17 - a. List the prime factors of h. 2, 3 Suppose 3*c = s - 36, 2*s + 2*c = -0*s + 48. Suppose -53 = -5*o + 2*z + s, -3*o + z + 48 = 0. What are the prime factors of o? 2 Suppose -5*d + 3*d = -x - 16, 62 = 5*d + 3*x. What are the prime factors of d? 2, 5 Let m(t) = 2*t - 9. Let z be m(7). Let o(k) = 2*k**2 - 6*k - 2. List the prime factors of o(z). 2, 3 Suppose 0 = -2*o + 11 - 1. Suppose 0 = -o*t + 190 - 50. What are the prime factors of t? 2, 7 Let s(i) = -2*i - 10. List the prime factors of s(-6). 2 Let w = 76 + -20. List the prime factors of w. 2, 7 List the prime factors of ((-2 - 184/(-12)) + 1)*3. 43 What are the prime factors of (-108)/(-15)*90/12? 2, 3 Let b(l) = -l + 3. Let m be b(3). Suppose -n - 4*h + 13 = -m*n, 5*n + 2*h = 83. List the prime factors of n. 17 What are the prime factors of 18/(-45) - (-282)/5? 2, 7 Let a = 19 + -38. Let f = -11 - a. List the prime factors of f. 2 Suppose c + 42 = -3*x, 2*x = -4*c - 3*x - 147. Let g be (-4)/22 - (-93)/c. List the prime factors of (-4 + 1)*g/1. 3 Suppose -t = -3*t + 4. Suppose 0*s = -t*v + 2*s + 22, -4*v + 12 = 4*s. List the prime factors of v. 7 List the prime factors of 7*20*(-102)/(-85). 2, 3, 7 Let b be 1/6 - 33/(-18). Suppose 0 = -b*h + 2, h = -2*u + 7 - 30. List the prime factors of (-201)/u + (-2)/(-8). 17 What are the prime factors of ((-3)/1 - -2) + 28? 3 Let s(z) = 3*z + 2. Let g be s(2). Suppose -5*y + 23 = g. Suppose 4*f - y*x - 32 = 0, f + 5*x = -1 + 9. List the prime factors of f. 2 Let d(x) = -x**3 + 7*x**2 + 3. Let r be d(7). Suppose 3*c = -j + 32, 5*j + 41 = 3*c - 15. Suppose 0 = r*u - 12 - c. What are the prime factors of u? 2 Suppose 0 = -2*z - 5*o + 104, 3*o + 2*o = 10. Let x be 101/(-3) - 4/(-6). Let p = x + z. List the prime factors of p. 2, 7 Suppose -5*r - 4 = -24. List the prime factors of 35/10*r/2. 7 Suppose 4*j - 26 = 6*j. Let y = 23 + j. List the prime factors of y. 2, 5 Suppose -3*z - 19 = -1. Let s = z - -8. Suppose 2*w - 3*q = -s + 1, -4*w + 8 = -4*q. List the prime factors of w. 7 What are the prime factors of 1*13*6/6? 13 Suppose 5*b + 18 - 3 = 0. Let z(m) = -9*m - 4. List the prime factors of z(b). 23 Let z(b) = b**2 - b - 3. Suppose -71 - 65 = -4*v. Suppose -v = q + 5*f - 11, 2*q - 14 = 5*f. List the prime factors of z(q). 3 Suppose 5*n = -10, n + 0*n - 61 = -3*b. Let m = b - 7. List the prime factors of m. 2, 7 Let w(h) = 3*h**2 - 3*h - 3. Let j be w(-2). Let z = -22 + 48. Let p = z - j. List the prime factors of p. 11 Suppose -15*m - 1014 = -2994. What are the prime factors of m? 2, 3, 11 Let s be 190/6 - (-7)/21. Let y = 50 - s. List the prime factors of y. 2, 3 Suppose 5*a = 6*a - 25. What are the prime factors of a? 5 Let y(x) = -4*x - 1. Let t be y(-1). Suppose t*b - 16 = 8. What are the prime factors of b? 2 Let w(b) = -17*b - 5. What are the prime factors of w(-4)? 3, 7 Suppose -5*n + 14 - 4 = 0. What are the prime factors of n? 2 Suppose 5*o - 70 = u, -6*o + 4*o + 46 = -4*u. Suppose a + 0*a - o = 0. Let v = a + -6. List the prime factors of v. 7 Suppose -z = -9 - 24. List the prime factors of z. 3, 11 Suppose -2*a - 12 = -6*a. Let i(p) = p**2 + 12 - 2*p + 0*p**2 + 3*p - p**a. What are the prime factors of i(0)? 2, 3 Suppose 0 = -5*v + 12 + 33. Let a = 49 - v. Let d = 56 - a. List the prime factors of d. 2 Suppose 6 = 4*h - h. Suppose h*f = -5*x + 22, f = -0*f - 4. What are the prime factors of (-28)/(-8) - (-3)/x? 2 Let q be ((-20)/3)/(2/6). Let v = -10 - q. List the prime factors of v. 2, 5 Suppose q + 4 + 5 = 0. Let p = q - -18. What are the prime factors of p? 3 Let m(n) = -7*n + 9 - 2*n**3 - n**3 + 4*n**3 - 5*n**2. Let s = -1 + 7. What are the prime factors of m(s)? 3 Let s = 6 - 15. Let r(g) = g**3 + 8*g**2 - 12*g + 2. What are the prime factors of r(s)? 29 Suppose -2*g - 10 = -o, -o + 4*g + 2 = -0. Let x = o - 13. List the prime factors of x. 5 Let l(a) be the third derivative of a**4/24 + 4*a**3/3 + 4*a**2. Let v be l(-6). Suppose -v*s + 24 = s. What are the prime factors of s? 2 List the prime factors of (-23)/(-4) - (-4)/16. 2, 3 Suppose -4*l + 166 = 2*z, -4*z - 163 = -4*l - 3. What are the prime factors of l? 41 Let l(j) = -j**3 + j**2 + j + 1. Let r(p) = 5*p**3 - 12*p**2 - p - 9. Let g(f) = 6*l(f) + r(f). List the prime factors of g(-7). 11 Let i be 3/(-2)*(-5 + -1). Let m be 1*i*(-13)/(-3). Suppose 4*y - 9 - m = 0. List the prime factors of y. 2, 3 Let x(g) = -6 + g**2 - 5 - 9*g - 2*g**2 + 1. List the prime factors of x(-7). 2 Suppose -2*x = t - 2, 5*t + 1 + 3 = 4*x. What are the prime factors of (-25 - -2)/(t + -1)? 23 Let d be (0 + 12/8)*(-8)/6. Let n = -20 - -4. List the prime factors of 0/(1 - d) - n. 2 Suppose 5*b + 41 = -34. Suppose 0*o + 2*p - 82 = -3*o, 5*o + 5*p = 145. Let f = b + o. What are the prime factors of f? 3 Let m be 1*3/(-1) + 72. What are the prime factors of m/(-12)*(-8)/2? 23 Suppose g = 5*b + 27, b + 4*b = 5*g - 35. Suppose 2*r = g + 22. Suppose z = 4*p - 14 + 40, r = -4*p. What are the prime factors of z? 2, 7 Let t be (25/(-10))/((-1)/(-14)). Let x = t + -9. Let b = -21 - x. What are the prime factors of b? 23 Let g(o) = -45*o**2 + o. Let s be g(1). Let p be 4/(-10) + s/(-10). Suppose -5*c + 1 = -3*n, 0 = -p*c + 8 + 12. What are the prime factors of n? 2 Suppose -6*x - 21 + 183 = 0. List the prime factors of x. 3 Let p = -8 + 15. Let s = p + -4. What are the prime factors of s? 3 Suppose 3475 = 18*r + 163. List the prime factors of r. 2, 23 Suppose -12*n + 1832 = -4*n. What are the prime factors of n? 229 Suppose 59 = -w + 23. Let s = -22 - w. What are the prime factors of s? 2, 7 Let q = -1 + 1. Suppose o - 4*t + t - 22 = q, -o + 32 = -5*t. List the prime factors of o. 7 Let t(m) = -23*m - 10. Let f(n) = 12*n + 5. Let d(b) = 7*f(b) + 4*t(b). Let r be d(-6). Let a = r + -23. List the prime factors of a. 2, 5 Let f(a) = -a**3 - 4*a**2 + 2*a. Let g be f(-5). Let j = 28 - g. Suppose -s + 4*c + j = 0, 5*s - 5*c + 33 - 98 = 0. List the prime factors of s. 13 Let a(b) = -9*b - 4. Let y(w) = -8*w - 4. Let x(g) = 4*a(g) - 5*y(g). List the prime factors of x(7). 2 Let a = 132 + -90. Suppose 0 = -2*x + 4*l + a, -4*l = 4*x - l - 106. List the prime factors of x. 5 Let k(b) = b**3 + 8*b**2 + 5*b + 6. List the prime factors of k(-7). 2, 5 Let u(o) = -7*o + 3. Let n be u(2). Suppose s - 2*l + 5 + 10 = 0, -4*l - 5 = 3*s. Let f = s - n. List the prime factors of f. 2 Let y be (-20)/(-6) - 3/9. Suppose 0 = -2*z - 2*p + 2, 3*p + 5 = 3*z - 4. Suppose -2*u - c + 17 = 0, y*c - c + z = 2*u. List the prime factors of u. 2, 3 Suppose -u = f - 32 + 2, 5*u + f - 170 = 0. List the prime factors of u. 5, 7 Suppose 0 = -4*h - 3*r - r + 132, -4*r = 5*h - 168. List the prime factors of h. 2, 3 Let b(o) be the first derivative of o**4/4 + 5*o**3/3 - 5*o**2/2 - 3*o - 3. Let c be b(-6). Let i = -3 - c. List the prime factors of i. 2, 3 Let w be 4/(-2) + 11 + -3. What ar
{ "pile_set_name": "DM Mathematics" }
4*m - 2*w. Sort -3, -4, m in descending order. m, -3, -4 Let d be 1/(-3) + 112/(-42). Let o be (d/(-24))/(3/(-4)). Put 1/4, 5, o in decreasing order. 5, 1/4, o Let i be (10/(-4))/(2/4). Let h(k) = -k - 3. Let s be h(i). Suppose 6*z = 3*z + 4*a - 9, 11 = 2*z + 3*a. Sort s, -4, z. -4, z, s Let k = -1.51 - 1.49. Sort -5, k, 0 in decreasing order. 0, k, -5 Suppose -3*u - 4*m = -0 + 16, 0 = 4*m + 4. Let g(l) = l**3 - 22*l**2 + l - 19. Let f be g(22). Sort u, f, 5 in decreasing order. 5, f, u Let v(p) = p**3 + 10*p**2 - 12*p. Let l be v(-11). Sort 2, l, -2. -2, 2, l Let o = -29 + 31. Let m = 4.8 + -5. Put o, -5/2, m in decreasing order. o, m, -5/2 Let g(a) = a**2 - 7*a + 6. Let d be g(5). Let w be d/40 + (-2)/(-4). Let i = -1/16 + -29/48. Put -1, w, i in descending order. w, i, -1 Let m be (-6 - 6) + 2*1. Let p = m - -14. Sort 0, -3, p in ascending order. -3, 0, p Suppose -m - 5 = 4*m, 3*c = -m - 13. Suppose -20 = -5*x, 0*x + 2*x - 2 = 2*a. Put a, c, 1 in increasing order. c, 1, a Let c be 0/(-3)*(-4)/16. Sort 4, c, -1 in decreasing order. 4, c, -1 Let t = 21 - 21.4. Let z = 0.2 + -0.15. Let r = 5.05 - z. Put r, 1, t in decreasing order. r, 1, t Let r = -2 - -5. Let h = 0.06 - -0.04. Let c = -5.1 + h. Sort c, r, 2 in descending order. r, 2, c Let y = -11 - -15. Let v = y + 0. Let p = 4.4 - v. Put -5, p, 0 in decreasing order. p, 0, -5 Let o be (0/(3/1))/1. Sort 0.3, -1, o in descending order. 0.3, o, -1 Let k = 19/6 - 11/3. Sort 5, -4, -11/3, k in increasing order. -4, -11/3, k, 5 Let g = 36 - 35. Sort 2/9, g, 0.1 in ascending order. 0.1, 2/9, g Let y be (-66)/14 + 4/(-14). Let u(c) = -c**3 + c**2. Let i be u(-1). Suppose -5 - 1 = -i*l. Sort l, 4, y. y, l, 4 Let h = 2.2 + -3.2. Put h, -4, -4/5 in increasing order. -4, h, -4/5 Let m = 0.21 - -0.19. Put -4, 7, m in increasing order. -4, m, 7 Let c(g) = -2*g - 3. Let r be c(-4). Let o be (2/r)/((-1)/(-5)). Put -0.1, o, -3 in increasing order. -3, -0.1, o Suppose -4*g - 28 = 4*k, -2*g = -3*k - g - 1. Sort k, 2, -5 in decreasing order. 2, k, -5 Let z be 1/(2 - 18/10). Let w(c) = -c - 7. Let g be w(-6). Put g, 0, z in descending order. z, 0, g Suppose -2*q + 70 = -q - 2*v, 3*v + 142 = 2*q. Sort q, -1, 2 in descending order. q, 2, -1 Let i be (-6)/4 - (-2)/4. Let r(f) = -5*f - 1. Let n be r(-1). Sort -3, i, n in decreasing order. n, i, -3 Let f be (8/(-3))/(6/9). Let z = -0.04 - -0.44. Sort f, z, -1 in descending order. z, -1, f Let z = -0.051 - -4.151. Let m = -0.1 + z. Sort -2/9, 1/4, m in ascending order. -2/9, 1/4, m Let b(u) = -u**3. Let v be b(1). Sort v, -2, 5 in increasing order. -2, v, 5 Let n = -0.07 - -0.074. Let u = 0.434 - n. Let r = u - 0.03. Put 0.5, 0.3, r in ascending order. 0.3, r, 0.5 Let j = -6 + 6. Let h be -2*4/(-1 + 3). Sort -2, h, j in increasing order. h, -2, j Suppose -2*i - 4*f - 9 = -i, 2*f + 15 = i. Suppose -5*v - 3*y - 4 + i = 0, -2*y + 2 = -v. Let o = v - -1/2. Sort o, -2, -0.4 in descending order. o, -0.4, -2 Suppose -2*p + q = -0*q, p + 2*q - 5 = 0. Let c be (15/25)/(p/(-5)). Sort 0, 5, c in descending order. 5, 0, c Let b be 322/(-84) - (-1)/(-6). Sort b, 2, 1 in decreasing order. 2, 1, b Let d be (1/3)/(2/(-18)). Suppose -3*v + 2*o - 1 - 10 = 0, -3*v + 3*o = 15. Sort d, v, 1. d, v, 1 Suppose 4 + 21 = 5*r. Let y(z) = -z**2 + 9*z + 1. Let l be y(9). Put l, r, -3 in ascending order. -3, l, r Let c = 3.2 - 3.2. Put 0.5, -1/8, c in descending order. 0.5, c, -1/8 Let x = -1 + 3. Let z = -47 + 45. Let b = x + z. Sort -2/13, b, -0.2 in decreasing order. b, -2/13, -0.2 Suppose -2*a = -4*c - 11 - 1, 2*a - 2 = -c. Suppose 3 - 2 = q. Sort q, -3, c in descending order. q, c, -3 Let n be -3 - 220/(-18) - (-6)/(-27). Sort 1, n, -1/7 in ascending order. -1/7, 1, n Let n be (-4)/7*(8 - 368/32). Suppose 0*a - 4 = -a. Sort -1, n, a in decreasing order. a, n, -1 Let x = 20 + -19.8. Sort -4, 1/10, x in descending order. x, 1/10, -4 Let g be 17/(-7) + (-9)/(-21). Sort 8, -3, g. -3, g, 8 Suppose 0 = 2*w - 3 + 11. Let c = -7 - -12. Sort -5, w, c in decreasing order. c, w, -5 Let a = -2 - -5. Let j be 1/a + 50/66. Let u = j + -13/22. Sort 0.4, u, -3 in descending order. u, 0.4, -3 Let u(d) = d**3 - 4*d**2 + d - 6. Let b be u(4). Sort -5, b, 0 in descending order. 0, b, -5 Let n = -46 + 50. Sort n, 2, -20 in increasing order. -20, 2, n Let p = 24 - 27. Put p, 1, -3/5 in descending order. 1, -3/5, p Suppose 9 = 4*f + 5*h, -3 = 3*f + 5*h - 11. Sort 49, f, 5. f, 5, 49 Let o = -62.6 - -61.6. Let k = -6 - -4. Sort k, o, -0.4 in decreasing order. -0.4, o, k Let c(d) = -d**2 + 7*d + 5. Let l be c(8). Put l, -1, 1 in decreasing order. 1, -1, l Let z = 1 + -3. Let c be 2/(-2*2/6). Sort c, -4, z. -4, c, z Let b = -3 - -2. Let w = -8.2 - -4.2. Let l = b - w. Sort 4, l, 2. 2, l, 4 Let v(r) = r**3 + 5*r**2 + 4*r. Let l be v(-4). Let u = -20.6 + 21. Put u, -3, l in decreasing order. u, l, -3 Let j = -3.7 + 2.7. Let x = -1 + 4. Sort x, j, 2 in decreasing order. x, 2, j Let z = 3 + -5. Let k = z + -1. Put k, 3/4, -2/21 in decreasing order. 3/4, -2/21, k Let w = -11 + 9.8. Let o = -3.2 - w. Sort o, -2/5, 4 in increasing order. o, -2/5, 4 Let m = -2 - -7. Suppose 7 = 5*b - 2*f, 2*f = -2*b + 3*f + 2. Suppose 5 = -2*s + b. Put m, s, -5 in increasing order. -5, s, m Let t be (1 + (-1)/2)*22. Suppose 5*r - 31 - 9 = 0. Let u = t - r. Sort u, -3, -1 in descending order. u, -1, -3 Let i = -43 - -39. Sort i, 1, -2, 2. i, -2, 1, 2 Let l = 26 + -28.4. Let g = -0.4 - l. Sort 4/7, g, -1/3 in ascending order. -1/3, 4/7, g Suppose 2 = 9*y - 8*y. Suppose y*s - 3*s = -2*b - 6, s + 6 = -b. Sort -1, 2, s in ascending order. s, -1, 2 Let h = -401 + 6017/15. Suppose 3*m - 5*f = 15, 5*f + 6 = -9. Let k be (-9)/10 - (-2)/4. Sort k, h, m in descending order. h, m, k Let g be (-2 + 0)*8/8. Sort g, 4, 5, 0 in increasing order. g, 0, 4, 5 Suppose -5*q + 3 + 2 = 0. Suppose -5*y = -2*y - 12. Sort -3, q, y. -3, q, y Let h be (3/(-5))/(110/(-525)). Let u = -13267 - -291949/22. Let v = h - u. Put -0.4, -2, v in descending order. -0.4, v, -2 Let f = -17 - -13. Sort f, -3, 2. f, -3, 2 Let g = 0.03 - 0.31. Sort -2/5, g, 4 in decreasing order. 4, g, -2/5 Let a = 0.04 - -0.36. Let v = a + -1.4. Let s = -1.1 - v. Put s, -4, -0.4 in ascending order. -4, -0.4, s Suppose -5*r = -25 + 5. Let i(h) = -h**2 + 4*h + 2. Let n be i(r). Sort n, 5, 0 in decreasing order. 5, n, 0 Suppose 4*s - 13 = w, -5*w + 6 = 5*s - 4. Let f be (9/s)/((-12)/(-16)). Suppose 18 = -k - f*r, -4*k + 2*r + 23 = -r. Sort -3, k, 3. -3, k, 3 Let l = -11.86 - 0.14. Let p = -0.16 + -6.84. Let o = p - l. Put o, -1/6, -0.2 in descending order. o, -1/6, -0.2 Let n = 62 + -101. Let i be -4 - -1 - 111/n. Put -2, 5, i in ascending order. -2, i, 5 Suppose 0 = 5*r - q + 20, 4*r + 8 = 2*r - 3*q. Let j(t) = t**2 + 9*t + 19. Let w be j(-4). Sort r, w, 2 in descending order. 2, w, r Suppose -5*n + 3*b + 12 = 0, 2*n + 4 = 6*n - b. Suppose -3*m - 26 = -11. Put n, 1, m in ascending order. m, n, 1 Let f = -7 + 12. Sort -4, f, -3/4 in descending order. f, -3/4, -4 Let p be 1/3*(-12)/(-2). Let b = -11 - -8. Suppose 2 = 5*h - 13. Sort h, b, p. b, p, h Let p(i) = -i**3 - 13*i**2 + 10*i - 54. Let k be p(-14). Let a(v) be the third derivative of -v**5/30 + v**2. Let h be a(1). Sort h, k, 3 in ascending order. h, k, 3 Let v be -2*(2 + -3) - -2. Suppose a = 5*a + v. Put a, -3, 4 in ascending order. -3, a, 4 Suppose 0 = -2*c + 5*g - 36, -4*c - 72 = -4*g + 3*g. Let a = -13 - c. Sort a, 2, 0 in descending order. a, 2, 0 Let f = 65/3 + -21. Let z = -0.485 + 0.485. Put z, 0.1, f in descending order. f, 0.1, z Suppose -4*t + 12 = -2*s - 2, -5 = -5*s + 2*t. Suppose 2 + 1 = 3*m + s*v, 3*m - 11 = -v. Sort m, 3, 0 in increasing order. 0, 3, m Let k be (-8)/15 - (-3)/15. Let i(t) = 3*t + 4. Let j be i(-3). Let h be 6/(-9) + 8/9. Put j, h, k in ascending order. j, k, h Let x = -0.04 + -2.96. Let y = 1 - -2. Let t = 19 + -18.6. Sort y, t, x. x, t, y Suppose -b = b - 2*g - 8, 2*b + 4*g - 2 = 0. Suppose 0 = -3*t + p - b*p - 217, -p = -4. Let f = 373/5 + t. Sort f, 3, 1 in decreasing order. 3, 1, f Let k = -0.8 - 1.2. Let t = k + 2. Let p be 1/(-4)*4/(-9). Put p, t, -2 in descending order. p, t, -2 Let h = -8 - -5. Let k = 35 + -35. Put 1, h, k in decreasing order. 1, k, h Suppose -2*c = -3*c - 25. Let f be 60/c + 6/(-10).
{ "pile_set_name": "DM Mathematics" }
3 - 5*t + 8. Let j be n(14). Solve j = -q - 2*q for q. -3 Let w = 0 + 2. Suppose d = 4*s - 6, 6*d - d = -s + 12. Let a be (-8)/(-6)*9/s. Solve w*k = -a + 16 for k. 5 Let z(g) = 10*g - 1. Suppose 0 = -0*r - 2*r + 2. Let n be z(r). Suppose l + 0*l - n = 0. Solve 4*d - l = -1 for d. 2 Suppose 0 = -7*d - 78 + 288. Solve d = -7*a + a for a. -5 Suppose 39 + 15 = 3*w. Suppose -5*a + 13 = -3*y - 26, 2*y = -4*a + w. Solve 0 = -4*x - a - 2 for x. -2 Suppose -76 - 34 = -5*h. Solve 0 = h*w - 26*w for w. 0 Let v(x) = -x + 4. Let a be v(4). Suppose -3 = h, -2*p + 5*h + 24 = p. Let w be p + (-1 - a) + -1. Solve -m = -w + 5 for m. -4 Let u = 76 - 82. Let c(k) be the first derivative of -k**4/4 - 7*k**3/3 - 5*k**2/2 + 7*k - 3. Let t be c(u). Solve 1 = -2*a - t for a. -1 Let b be 1 - 10 - (-2196)/183. Solve 0 = b*r + 11*r for r. 0 Suppose -42 = -4*m - 2*m. Suppose -14*b + 35 = -m. Solve 3 + 12 = b*z for z. 5 Let t(z) = z**3 + 6*z**2 + 7*z - 2. Let c be t(-5). Let g be c/66 + (-24)/(-11). Suppose g*o - 4*j = 6, j = -3*o - j + 9. Solve o = q - 0*q for q. 3 Let s(t) = -t**3 - 4*t**2 + 4*t + 4. Let r be s(-5). Suppose 3*p + 9 - r = 0. Solve p = 2*u - 3*u - 1 for u. -1 Suppose -23 = 3*x + 34. Let l = 22 + x. Suppose -2*n + 7 = 5*z - 27, -9 = n - 4*z. Solve l*w - n*w = -20 for w. 5 Suppose -3*u = 2*u - 3*g - 22, -2 = -2*g. Suppose -u*x + 7*x + 12 = i, 3*x = -12. Let r = -19 + 29. Solve i*a - r = 2 for a. 3 Let k(b) = -b - 1. Let u(r) = -r + 9. Let h(j) = -2*k(j) + u(j). Let n be h(-7). Solve -2 - n = -2*p for p. 3 Suppose 10*x - 52 = 78. Suppose 19 + x = 4*t. Solve -3*y = t + 1 for y. -3 Let l(x) = 5*x - 30. Let b be l(8). Suppose b*m = 16*m - 30. Solve -m = s - 1 for s. -4 Suppose -4*f = 3*d - 18, 5*d - 5*f + 3 = -2. Suppose 4*h = -x + 14, -2*h = 2*h - 12. Solve j - d*j - x = 0 for j. -2 Let u be 1*((-2 - 18) + 3). Let o = -12 - u. Solve -4 = o*c + 1 for c. -1 Suppose -12*q = -178 + 154. Solve 9*n + q = -7 for n. -1 Suppose 19*z = 22*z - 9. Let a(w) = w**2 + w - 10. Let s be a(z). Solve n = -s*n + 9 for n. 3 Suppose -5*v + 3*g = -34, -4*v - 6 = 2*g - 20. Let w(i) = -5*i + 33. Let d be w(v). Solve -d*t + 12 = -4*t for t. 3 Let l be ((-6)/10)/(1/(-5)). Let j be 1/((-7)/(-2) - l). Let t = -2 + j. Solve 3*y + t + 3 = 0 for y. -1 Let a(w) = -5*w**3 - 2*w**2 + 2*w + 4. Let i(g) = 9*g**3 + 4*g**2 - 4*g - 8. Let y(t) = 7*a(t) + 4*i(t). Let k be y(-2). Solve x - 4 = -k for x. 4 Let a(i) = -i**3 - 3*i**2 + 3*i - 1. Let j be a(-4). Let h(q) = -61*q - 106. Let d be h(-2). Solve z - d = -j*z for z. 4 Let q be ((-16)/(-20) + -1)/((-6)/(-10))*-9. Let f = 20 + -14. Solve f*w = q*w for w. 0 Let m(i) = -i**3 + 6*i**2 - 3*i + 58. Let l be m(6). Solve -44*j = -l*j for j. 0 Suppose 0 = 4*t + 5*r + 11, 1 = 6*t - 2*t + r. Solve 0*c - c = t for c. -1 Suppose 0 = m - x, -8 = 2*m + 15*x - 19*x. Solve 0*p - 4 = m*p for p. -1 Let p = 134 + -131. Let s(u) = -u - 4. Let k be s(-4). Solve -p*y - y = k for y. 0 Suppose 3*c + 14 = 6*c - 2*m, 2*c + 4 = -2*m. Let f be -1*(1*-10 - 0 - 4). Suppose 8*q = f + 10. Solve -q*l = -c*l + 5 for l. -5 Suppose -10*o + 14*o + m - 39 = 0, m + 27 = 2*o. Let k(q) = -q**3 + 13*q**2 - 19*q - 31. Let f be k(o). Suppose -2*z = 3*z - 15. Solve -f = z*v + 4 for v. -2 Let g(n) = 9*n - n**2 + 2 - 2*n**2 - 6 + 4*n**2. Let v be g(-10). Let s = v + -6. Solve s*j = -3*j for j. 0 Let c(z) = -z. Let p be c(-5). Suppose 0 = -m + 2*b - 3, 0 = -2*m + 3*b - 2*b + 3. Suppose -x = m*n - 11, -x - 25 + 1 = -4*n. Solve p*q + n = 30 for q. 5 Let r = -28 + 27. Let s = r + 6. Suppose 0 = s*v + 3*z - 10, 6*v - 4*v - z - 4 = 0. Solve 16 = -v*w + 6*w for w. 4 Let h = -1066 - -1085. Solve -h*l - 10 - 9 = 0 for l. -1 Let q(g) = g**2 - 13*g + 32. Let l be q(3). Let o be ((-1)/(-3))/((-2)/(-18)). Let h = 7 - o. Solve h*j = 2 + l for j. 1 Let r(a) = -a**3 + 2*a**2 + 6*a - 7. Let c be r(4). Let v = -9 + -2. Let k = v - c. Solve -d + 1 = -k for d. 5 Let q be (-66)/(-55) - 12/(-15). Solve q = -u - 1 for u. -3 Let o(j) = -6*j**3 - 6*j**2 - j + 5. Let w be o(-1). Solve -27 - 3 = w*m for m. -5 Suppose 3*y - 1 = 5. Solve -1 = y*v + 3 for v. -2 Suppose 3*k = 2*q - q + 3, -3*q + 1 = k. Suppose 2*r - 8 = 4*g, -4*r = 3*g + 2*g - 29. Solve q = 3*f - 5*f + r for f. 3 Suppose 39 = 4*z - z. Let y(j) = -6*j + 1 + z*j + 7 + j**2 - 4. Let m be y(-7). Solve f + m*f - 20 = 0 for f. 4 Suppose -5*m = 3*p - 26, 21 + 1 = 3*p + 4*m. Suppose 4*i + p*i = 12. Let l = 2 + 1. Solve i + l = -q for q. -5 Let h(b) = b**3 - 19*b**2 + 19*b - 17. Let l be h(18). Solve -4*z - 13 + l = 0 for z. -3 Let g(x) = -5*x - 1. Let s(b) = -3*b + 2*b + 7*b. Let i(o) = -7*g(o) - 6*s(o). Let z be i(-5). Solve 0 = l + 2*l - z for l. 4 Suppose 4*h - 26 + 6 = 0. Suppose -13 = -h*y + 7. Suppose 5*g = 2*c - 1 - 1, 22 = y*c - g. Solve -2*o + 2 = c for o. -2 Suppose -8 = -3*r + 7. Suppose -c + 36 = -2*z, -92 - 93 = -r*c + 5*z. Suppose 4*p = -2*g + c, -2*p - 3*g = -0*p - 25. Solve -2*x = -p - 0 for x. 4 Suppose 0 = 4*g + 4 - 8, 2*b - g + 1 = 0. Suppose b = -u - 2*u + 9. Solve -u*i - 3 = -4*i for i. 3 Suppose -5*t - 2*v + 75 = -4, 2*t + 2*v - 34 = 0. Solve -14*p + 2 = -t*p for p. -2 Let v(m) = 4*m**3 + m**2 - 1. Let i be v(1). Let l = -24 - -34. Suppose -r = 4*r - l. Solve i*f - r*f = 0 for f. 0 Let r(j) = 10*j + 324. Let t be r(-32). Solve -p - t = 1 for p. -5 Let l be (1 - 3)*-1*2. Let v = 4 - l. Suppose -k = k. Solve k = -3*r - v*r - 12 for r. -4 Suppose 9*p + 31 = 12*p - h, -5*p + 54 = -4*h. Solve -6*j = -11*j - p for j. -2 Suppose 3 = 13*r - 12*r + 3*s, 2*r - s - 20 = 0. Solve r = -15*l - 51 for l. -4 Suppose -239 = 4*r + 5*v, 0 = 5*r - 3*v + v + 274. Let c = r - -59. Solve -1 = -c*k + 2 for k. 1 Let x(l) = -l - 3 + 0 + 0. Let j be x(-5). Solve j + 3 = z for z. 5 Let r(x) = x**2 - 7*x - 13. Let u be r(9). Suppose -4*t + 3*h - 12 = -3*t, -4*t = u*h - 20. Solve 0 = -t*q + 2*q for q. 0 Suppose -u - 5*o = 0, o = 3*u + u. Suppose 2*f - 13 = 10*s - 7*s, -2*f - 4*s + 6 = 0. Solve u = p - f*p for p. 0 Suppose -10*t + 16 = 4*h - 14*t, -4*h = 3*t - 9. Solve -h*x + 11 = 2 for x. 3 Suppose -3*t = -5*t + 10. Solve t*o - 12 = o for o. 3 Let j(r) = 0*r + 0 + 6 + r. Let t be j(0). Solve q + t = 2 for q. -4 Let s be (-7 - -1)*72/(-12). Let w = -36 + s. Solve 4 + w = -b for b. -4 Let i be (-33)/(6/(-2)) - 11. Solve 0 = -i*l + 10*l - 10 for l. 1 Suppose -4*u + 16 = 3*c, -2*u = 2*c - 6*c + 14. Suppose -3*f + c*k + 3 = -0*f, 0 = -f + 4*k + 1. Suppose -6*l + 3*l = -6. Solve -l*i + f + 7 = 0 for i. 4 Let d = 14 - 8. Let l be d/(-8) + 76/16. Let g = 26 + -24. Solve g + l = -2*t for t. -3 Let h = 55 + -55. Solve h = 2*b - 2 for b. 1 Suppose 2*b - 164 = -4*w, -175 = -5*w + 5*b - 0*b. Let u be 33/(-2)*(-26)/w. Let n = 11 - u. Solve -o + n*o = 5 for o. -5 Let h = 40 + -56. Let z = h + 2. Let d be (12/z)/(6/(-28)). Solve 0 = 3*m - 5 - d for m. 3 Suppose 10*y - 177 + 17 = 0. Solve -6*p + y*p + 30 = 0 for p. -3 Let u(g) = -g**3 + 3*g**2 + 11*g - 3. Let m be u(5). Suppose m*j = 3*t - 3, t = -2*j - 0*t + 9. Solve -j*d + 2 = 14 for d. -4 Let t(o) = -o + 6. Let y be t(3). Suppose y = -5*b + 6*b. Suppose -b*p = 2*p - 50. Solve p*j - 5*j = -15 for j. -3 Let d = 9 - 14. Let v = 9 + d. Suppose -v*a - 9*l - 2 = -4*l, 2*a - 2 = -l. Solve -a*h + 6 + 4 = 0 for h. 5 Let z be ((-234)/(-91))/((-6)/(-112)) + 6. Solve -3*p - 69 = -z for p. -5 Suppose 0 = 40*q - 41*q + 1. Solve q = 3*j + 10 for j. -3 Let m = -444 + 501. Solve 24 = 11*f + m for f. -3 Suppose 19*p + 18 - 94 = 0. Solve 0 = p*r - 7*r - 6 for r. -2 Suppose 5*k - 5 = 6*k. Let g(u) = 8*u + 47. Let b be g(k). Solve -4 = -3*y - b for y. -1 Let l(t) = t**3 + 2*t**2 - 7*t - 8. Let x be l(-1). Solve x = -y + 34 - 34 for y. 0 Let n be (1 + -2)*(0 + 4). Let y(z) = z**2 + 2*z - 6. Let g be y(n). Suppose -3*r = g*r - 10. Solve t - 3 - r = 0 for t. 5 Let x(v) = 9*v - 226. Let w be x(26). Solve -4*k = -w - 8 for k. 4 Suppose -3*t + 63*d + 11 = 68*d, -3*t = 4*d - 13. Solve t*l - l + 3*l = 0 for l. 0 Let v be -7*((-91)/49 + 3/7). Suppose -11*j + 4 = -v*j. Solve j = -4*x - 0*x for x. -1 Suppose 4*v = -7*v + 429. Suppose 8*k = -5*k + v. Solve -2 - 4 = -k*h for h. 2 Suppose -3*h = -5 - 1. Suppose -g - 1 = -h. Solve -2*v + g = 5 for v. -2 Let d(n) = 0*n**2 - 2*n - 3*n**2 - 7 + n**3 - n - n**2. Let g be d(5). Solve -1 = -g*m + 5 for m. 2 Let d(q) = 8*q**
{ "pile_set_name": "DM Mathematics" }
10*k - 4. Let w be p(-9). Suppose -43 = -w*x - 4*m + 3, -5*x + m = -26. Is x/(-14) + 19670/49 a prime number? True Suppose -3*w = -c + 49298, 0 = -67*c + 64*c - 2*w + 147927. Is c composite? False Let b(n) = -315*n + 32. Is b(-7) a composite number? False Let l = 14580 - 7887. Suppose 32*z = 35*z - l. Is z a composite number? True Let t(b) = -b**3 + 5*b**2 + 3. Let u be t(5). Suppose -4*o + 3927 = 3*l + 299, -u*o - 3*l = -2721. Is o prime? True Let c be (1 - -4)/(4 + -3). Suppose 3*o - k = -0*o + 96, c*k + 15 = 0. Is o prime? True Suppose 0 = -2*l + 4*r - r + 579, 5*r - 619 = -2*l. Suppose -19*w = -15*w + 2600. Let b = l - w. Is b a prime number? True Suppose -2*g - h - h = -1746, 0 = 3*g - 3*h - 2589. Suppose -6*y + g = -3170. Is y composite? False Let u be (0 - 5)*(1944/20)/(-3). Let s(t) = -t + 11. Let y be s(8). Suppose 357 = 4*m - 3*p, 3*m + u - 432 = y*p. Is m a prime number? False Suppose 0 = 4*i - a - 7, -6*i + 5*a + 18 = -3*i. Let r = -4 + i. Is (-15)/r*(-134)/(-10) a prime number? True Let y be (-1)/1*(-6)/(-2). Let w = 156 - 156. Is -1*(w + y + -208) composite? False Suppose -3*c = -c - 6. Let z(u) = 7 - u - c - u + 40*u**2 - 2. Is z(2) a prime number? False Let g(v) = 2147*v + 2. Let s be g(5). Suppose 151 + s = 8*n. Is n composite? False Suppose 106 = -3*w - 593. Let j = 104 - w. Is j a composite number? False Suppose -60*q = -718882 - 316178. Is q prime? False Is 40143 - (0/1 - (20 + -20)) a composite number? True Let b(w) = 19*w**3 + 5*w**2 - 32*w + 191. Is b(5) prime? True Let s = -35 - -40. Suppose -5*n = 2*z - 6, 4*z + 2 + 4 = -n. Is 1652/20 + n/s a prime number? True Suppose 26*x = 28360 + 132762. Is x a composite number? False Let r = -3234 + 6031. Suppose 2*f - h - r = 0, -3*h = f - 3*f + 2795. Is f a prime number? True Suppose 2*w - 2*r - 6 = 0, w + r - 3 = -4*r. Let s(n) = n + 3*n**w - 2*n**3 - 2*n**3 + 10*n**2 + 1 - 12. Is s(9) prime? True Let n = -11604 + 7721. Let x = -218 - n. Is x prime? False Let i(n) = -19*n**2 + 2*n + 13. Let c be i(4). Suppose 4*a - a = 1548. Let s = a + c. Is s a prime number? True Let m be -2 - (-882)/(4/2). Let j be -236 + (-1)/(-2)*4. Let c = j + m. Is c composite? True Suppose -4*u = -9 - 15. Let o be -2 + u + -2 - 7. Let y(h) = h**3 + 7*h**2 + 4*h + 1. Is y(o) a prime number? True Suppose 2*s = 2*d - 12, -3*s + 5 = -5*d + 31. Suppose d*c + k - 922 = -82, 4*k = c - 227. Is c composite? False Suppose -2*u + 8 = 4. Let g be -2 - ((-10)/(-2) + u). Is 1592/6 + 3/g composite? True Suppose p = -3*l + 4*l + 5060, -p + 3*l = -5068. Suppose -6*s + p = -2606. Is s prime? True Suppose 17*d = 18*d + 506. Let y = 8 + 821. Let i = y + d. Is i prime? False Suppose -z - 1 - 4 = -5*k, 5*k + 15 = 5*z. Suppose 2*d - 62 = z*y - y, d - 38 = -5*y. Is d composite? True Suppose 8*m = 131227 - 9683. Is m composite? False Suppose -w + 4*w = f - 559, 3*f = -15. Let c = w + 393. Is c a composite number? True Let c = 5 + -5. Suppose 0 = -5*h + 3 + 2, c = 2*w + h - 1. Suppose -3*j + 4*a + 81 = w, 105 = 6*j - 3*j + 4*a. Is j a prime number? True Is (2/4)/((-255183)/(-25518) + -10) a prime number? True Let a(s) = -2*s**3 - 3*s + 5. Let h be a(-4). Is 2/(2/1)*h a prime number? False Let t(a) = 3*a - 1318. Let h be t(0). Let i = 1875 + h. Is i composite? False Let n be -12 + 12 + -181 + -1. Is (-9426)/(-14) + 0 + 52/n a composite number? False Suppose -6 = -2*d, 3*k + 6*d - 4*d = 4323. Is k prime? True Let s = 8470 + 112933. Is s prime? True Is (2 + 820)*4*(-3)/(-24) a composite number? True Suppose 4*g = x + 4272, 5*g + 2*x - 2146 = 3*g. Is g composite? False Suppose 10*t + 5*t - 4200 = 0. Suppose 187 = m - t. Is m composite? False Suppose t = 5, 4*s - s = -3*t + 4206. Is s prime? False Let m be (9/(-2))/(3/(-76)). Let k(b) = -b**3 - 2*b**2 - b + 2. Let a be k(0). Suppose 2*w - m = 4*y, 3*w - 7*y + a*y - 169 = 0. Is w a composite number? False Let y(o) = -85*o**3 - 2*o**2 - 14*o - 54. Is y(-7) prime? True Let j be (-357 - 12/(-4)) + 3. Let r = 844 + j. Is r a prime number? False Suppose -4*j + 3831 = -j. Suppose -346 - j = -3*s. Is s a composite number? False Is (-16)/80 - (-2043030)/25 a composite number? True Let k = 124 + -271. Let s = k + 77. Let y = 133 - s. Is y composite? True Let a = -4581 - -9118. Is a prime? False Suppose -25 - 35 = -6*n. Suppose -12*h - 5*o = -n*h - 8509, 0 = 4*h - 5*o - 16973. Is h composite? True Let z(m) = -m + 24. Let q be z(4). Suppose -q*u + 13*u + 6139 = 0. Is u composite? False Let j(q) = 2952*q**3 + 2*q**2 - 11*q + 10. Is j(1) prime? True Let c be (-134)/(-5) + 1/5. Let f be c/5 + (-6)/15. Suppose -f*h - 2*h = -2513. Is h a composite number? False Let l = 10187 + -4549. Is l a composite number? True Suppose y - 4*y - 4*b = 8, -17 = -3*y + b. Let r(d) = -17*d**3 - 9*d**2 - d + 4. Let f be r(-6). Suppose y*z - f + 618 = 0. Is z a composite number? True Is 1740 + (-3)/(21/49) prime? True Let k be (-15)/(-3) + -3 - -2. Let l(i) = 1 + i**3 - k*i**2 - 9*i - i**2 + 4*i**2 + 10*i. Is l(6) prime? False Suppose -2*r + 7334 = -4*s, 9*r - 8*r - 3681 = -5*s. Is r a prime number? True Let j be (18/(-12))/(2/(-16)). Is (208/j)/(4/6) a composite number? True Let k = 11 - 6. Suppose -u + 2*u + 644 = k*h, h = 5*u + 148. Suppose -h = -v - 41. Is v a composite number? True Let r = -12 - -17. Suppose 2*k + r = 15. Suppose -z = 4*j + 521 - 1554, 0 = 3*j + k*z - 762. Is j a prime number? False Let t(z) = -6*z**3 - 6*z**2 - 2*z - 6. Let o(d) = -7*d**3 - 7*d**2 - 2*d - 7. Let q(s) = 3*o(s) - 4*t(s). Is q(4) a prime number? True Suppose -44*a + 369833 = 148381. Is a composite? True Let l(w) = 3*w**2 - w. Suppose -g + 0*g - y + 6 = 0, 2*g + 3 = -5*y. Let n be l(g). Suppose 0 = -2*d + 2*h - 0*h + 190, -4*d + n = 3*h. Is d composite? True Let c = 18 + 731. Is c a prime number? False Suppose 0*k - 3*k + 30 = 0. Let z = k - 18. Is z/(-12) + 950/6 prime? False Suppose -5*u = 3*v - 0*v - 662161, 2*u - 220721 = -v. Is v a prime number? False Let w(o) = -o**3 + o**2 + 2*o + 8663. Is w(0) a composite number? False Let n = -31 - -34. Suppose -w + 2*w + 895 = 3*q, -891 = -n*q - 3*w. Is q a composite number? True Let y = -48 - -48. Suppose y = -d - 5*p + 611, 3*p = d - 3*d + 1250. Is d prime? True Let x(p) = 49*p**2 - 23*p + 17. Is x(-19) prime? True Let a = -46 + 62. Is (0 + (-1497)/6)/((-8)/a) a composite number? False Let d = 1 - -4. Suppose -t = -5*t - 3*j + 12, -d*t = -j + 4. Suppose -2*x + 46 + 72 = t. Is x prime? True Let p = -46 - -43. Is 4/p*(-786)/(-20)*-5 composite? True Let b(n) = 28*n**2 - 5*n - 13. Is b(-10) composite? False Suppose -a + 3 = -2. Suppose 9*q = a*q + 92. Is q prime? True Suppose -299*h + 20471 = -288*h. Is h a composite number? False Is ((-32764)/6)/(2/(-3)) a composite number? False Let k = 96 - -1951. Is k prime? False Let t(r) = 30*r - 53. Let l be t(6). Let p be (-1)/(-4) + (-2613)/(-12). Let x = p - l. Is x a composite number? True Let x(z) = 2*z**3 + z**3 - 4*z**3 + 1 - 9*z + 16*z**2 + 18. Is x(15) composite? False Let w be 2 + -1 - 36*12. Let u be -3 + 5548/(-5 + 1). Let r = w - u. Is r a composite number? True Let r = -11106 + 23947. Is r a prime number? True Let d(t) = -3*t. Let s be d(-1). Suppose s*o + 100 = k, -4*o - 258 = -3*k - 9*o. Suppose 2*g = g + k. Is g a composite number? True Let r be (3/(-2))/((-36)/48). Suppose -u - 4 = 0, 0*n - 203 = -3*n + r*u. Is n composite? True Suppose 3*g + 73 - 1 = 0. Let l = g + -4. Let i = l + 43. Is i composite? True Suppose 0*f + f = 4*w - 122, -f - 60 = -2*w. Let j = -27 + w. Is (j/10)/(2/4835) prime? True Let p(u) = 652*u**2 + u - 5. Suppose -s - 2*s + 6 = 0. Is p(s) prime? False Is (1/(-4))/(19/(-556168)) a prime number? False Suppose a + 3567 = 3*g - 0*a, -2*g = -6*a - 2378. Is g a prime number? False Let g(t) = t - 2. Let v be g(10). Is v/(-2)*(-2018)/8 prime? True Let o(y) be the second derivative of -y**3/3 - 5*y**2/2 + 2*y. Let r be o(-5). Suppose r*w = 20 + 55. Is w composite? True Suppose -z = -3*r + 323, -3*r + 849 = -3*z - 90. Let s = z - -519. Is s composite? False Let g be (-5)/(-25) - 2/10. Suppose -2*x + 22 - 262 = g. Let q = -35 - x. Is q prime? False Suppose -5*s + 8*i + 18793 = 4*i, -5*s = -5*i - 18790. Is s prime? True Let y(c) be the second derivative of -c**4/12 + 7*c**3/2 + 7*c**2 - c. Let h be y(12). Let f = h + -55.
{ "pile_set_name": "DM Mathematics" }
g(q))? 8*q Let g(q) = -q. Let y(o) be the second derivative of -o**4/4 - 5*o. Determine g(y(z)). 3*z**2 Let g(c) = 6*c. Let r(d) = -2*d + 80. Determine r(g(o)). -12*o + 80 Let c(y) = -4*y. Let f(r) = 5*r**2 - 12. Let s(d) = 3*d**2 - 6. Let a(t) = -4*f(t) + 7*s(t). Let n(o) be the first derivative of a(o). What is c(n(g))? -8*g Let z(w) = -3*w - 3*w**2 + 3*w + 0*w. Let i(j) be the third derivative of 0*j + 1/12*j**4 + j**2 + 0*j**3 + 0. What is i(z(x))? -6*x**2 Let y(m) = -3*m. Let o = 14 - 10. Suppose -3*i + o = -i. Let q(w) = -5*w + 2*w + 3*w - i*w. Give y(q(d)). 6*d Suppose -2*g = -6*g. Let o(d) = d + g*d + 0*d + 4*d. Let t(h) = 2*h**2. Calculate t(o(s)). 50*s**2 Let q(y) = 3*y**2. Suppose -5*c + 15 = 0, 4 + 0 = -b + 2*c. Let g(t) = 0*t**b + 6*t**2 - 5*t**2. Determine q(g(a)). 3*a**4 Let y(g) = 21*g. Let u(t) = 8*t. Let c(b) = -10*b. Let z(n) = 2*c(n) + 3*u(n). Calculate z(y(d)). 84*d Let h(k) = -28*k. Let z(a) = 47*a**2. Give z(h(u)). 36848*u**2 Let d(u) = 4*u. Let a(b) = -4*b + 3*b - 2*b. Let h(n) = 5*a(n) + 3*d(n). Let x(s) = -2*s**2. Give x(h(r)). -18*r**2 Let q(w) = -80*w. Let l(o) be the first derivative of -2*o**3/3 - 6. What is l(q(y))? -12800*y**2 Let b(l) = 4*l. Let y(x) be the second derivative of 1/12*x**4 + 3*x + 0 + 0*x**2 + 0*x**3. Give b(y(j)). 4*j**2 Let t(a) = -9*a - 5. Let m(v) = -5*v - 3. Let n(j) = -5*m(j) + 3*t(j). Let d(w) = 2*w. Let g(f) = 3*d(f) + 2*n(f). Let s(c) = -c. Give s(g(h)). -2*h Let x(o) = o**2 - o. Let w be x(-3). Suppose -5*j = -w - 18. Let m(b) = -b - j + 0*b + 6. Let h(i) = -2*i. Determine m(h(p)). 2*p Let c(f) = 44*f - 10. Let r(v) = 2*v. What is c(r(j))? 88*j - 10 Let a(t) be the third derivative of -3*t**2 + 0 + 0*t**3 + 0*t + 1/8*t**4. Let d(m) = 2*m. Determine d(a(y)). 6*y Let g(o) = 4*o**2. Suppose -5*w + 21 = -4*l, -3*l + 0*w - 7 = 5*w. Let x(c) = c - 1. Let z(h) = 2*h**2 - 4*h + 4. Let p(b) = l*x(b) - z(b). What is g(p(q))? 16*q**4 Let x(l) be the first derivative of -3*l**3 + 3. Let f(t) be the second derivative of t**3/6 + 14*t. Calculate x(f(a)). -9*a**2 Let g(x) = -26*x. Let c(n) = 2*n**2 + 5*n - 5. Let p(f) = -3*f**2 - 6*f + 6. Let d(a) = -6*c(a) - 5*p(a). Give d(g(q)). 2028*q**2 Let c(m) = 3*m**2. Let s(h) = h - 368. Calculate s(c(u)). 3*u**2 - 368 Let q(z) = -6*z**2 - 18*z - 18. Let m(c) = c + 1. Let x(l) = 18*m(l) + q(l). Let g(p) = -p + 3. Let u(r) = -1. Let k(n) = -g(n) - 3*u(n). Determine k(x(j)). -6*j**2 Let w(i) = -4*i**2. Let j(b) be the first derivative of -2*b**2 - 9. Determine j(w(x)). 16*x**2 Let a(q) = -q. Let b(l) = 25 - 25 - 3*l. Give b(a(f)). 3*f Let g(q) = 17*q**2. Let a(f) = -17*f + 5. Determine g(a(i)). 4913*i**2 - 2890*i + 425 Let c(q) = 8*q. Let y(m) = -8*m. Let l(b) = -4*c(b) - 6*y(b). Let s(p) = 2*p**2. What is l(s(z))? 32*z**2 Let k(d) = -d**2. Let l(j) = -6338*j**2. What is k(l(o))? -40170244*o**4 Let y(v) = -v**3 - 4*v**2 + 6*v + 7. Let f be y(-5). Let d(w) = 3*w**f + 3*w**2 - 5*w**2. Let b(l) be the second derivative of l**3/3 + 3*l. Determine b(d(z)). 2*z**2 Let g(i) = -2*i. Let a(s) be the third derivative of -s**4/6 - 21*s**2. Calculate a(g(z)). 8*z Let s(p) = 2*p**2. Let v(b) = 90*b. Let i be (-19 - -19) + (-85 - -1). Let o(d) = 2*d. Let h(m) = i*o(m) + 2*v(m). What is h(s(x))? 24*x**2 Let g(j) = -13*j**2. Let a(o) = -29*o**2 - 27*o**2 + 78*o**2 - 24*o**2. Determine a(g(w)). -338*w**4 Let i(y) = -y**2. Let d(m) = -18*m**2 + 3*m**2 + 52*m**2 + 50*m**2. Calculate i(d(p)). -7569*p**4 Let s(m) = m**2 - 3*m. Let g(x) = 2*x - x**2 + 0*x**2 - 9*x + 4*x**2. Let n(t) = -3*g(t) + 7*s(t). Let u(i) = -4*i**2. Calculate n(u(l)). -32*l**4 Let a(h) = -3*h**2. Let d(l) = -2*l - 4782. What is a(d(z))? -12*z**2 - 57384*z - 68602572 Let k(j) = -10*j**2 + 6*j**2 - 7*j**2 + 2*j**2. Let t(m) = -7*m. Calculate t(k(g)). 63*g**2 Let t(l) be the second derivative of -l**3/6 - 4*l. Let p(g) = 8*g**2 - 5*g + 5. Let m(c) = 4*c**2 - 2*c + 2. Let z(d) = 5*m(d) - 2*p(d). Calculate z(t(o)). 4*o**2 Let q(y) = -21*y**2. Let m(c) be the second derivative of c**4/6 - 7*c. What is m(q(a))? 882*a**4 Let u(m) = -2*m. Let h(t) = 70*t**2 - 7*t. Let w(y) = -47*y**2 + 5*y. Let f(k) = 5*h(k) + 7*w(k). What is u(f(j))? -42*j**2 Let l(d) be the third derivative of -d**6/180 + d**3/3 + 5*d**2. Let n(j) be the first derivative of l(j). Let h(b) = -2 - 2*b + 2. Calculate h(n(r)). 4*r**2 Let c(r) = r**2 - r - 1. Let v(u) = -5*u - 5. Let h(w) = 5*c(w) - v(w). Let b(a) be the second derivative of a**3/6 - 8*a. What is b(h(l))? 5*l**2 Let t(o) be the third derivative of -o**4/8 + 3*o**2. Let x(q) = 11*q + 5. Let g(v) = 17*v + 8. Let d(a) = -5*g(a) + 8*x(a). What is t(d(f))? -9*f Suppose 4*d - 16 = 2*d. Let o(m) = 0*m - 3*m + d*m. Let g(t) = 2*t. Give g(o(l)). 10*l Let w(h) = -2*h - 29 - 38 + 67. Let c(y) = -35*y**2. Determine w(c(j)). 70*j**2 Suppose -2*t + 2 = -2*z, 3 + 7 = t + 2*z. Suppose 0 = -f - 4*h + 3, f = -2*f - t*h + 9. Let a(r) = -f*r + 2*r + 0 + 0. Let y(o) = 3*o. Calculate y(a(v)). -3*v Let k(w) = 2*w. Let l(j) be the second derivative of -9*j**4/4 - 18*j - 2. Determine l(k(x)). -108*x**2 Let q(i) = 41*i. Let v(p) = 3*p**2. Give v(q(l)). 5043*l**2 Let s(d) = d**2. Let w(b) = -122*b**2 + 1. Give w(s(o)). -122*o**4 + 1 Let z(g) = -520*g. Let n(i) = -4*i**2. Calculate z(n(b)). 2080*b**2 Let x(h) = -5*h**2 - 2*h. Let m(r) = 170*r - 1. Determine x(m(n)). -144500*n**2 + 1360*n - 3 Let g(t) = -t**2. Let l(j) be the third derivative of -j**4/24 - 7*j**3/6 + 2*j**2 + 11. Calculate l(g(d)). d**2 - 7 Let t(k) = -21*k. Let p(z) = 23*z. Give t(p(o)). -483*o Let z(l) = l. Let a(m) be the first derivative of -40*m**3/3 + 16. Determine z(a(v)). -40*v**2 Let j(u) be the first derivative of 2*u**3/3 + 19. Let c(h) be the second derivative of h**4/3 - 2*h. Give j(c(y)). 32*y**4 Let y(w) = -7*w**2 - 4*w. Let f(d) = 12*d**2. Determine y(f(l)). -1008*l**4 - 48*l**2 Let h(q) = 155*q**2 - 35*q. Let s(y) = 13*y**2 - 3*y. Let m(i) = -6*h(i) + 70*s(i). Let o(a) = 2*a. Give m(o(x)). -80*x**2 Let s(q) = q. Let l(n) be the second derivative of -5*n**4/8 + 2*n**2 + 4*n. Let k(p) be the first derivative of l(p). Give k(s(v)). -15*v Let p(l) = -13*l. Let r(a) = 6*a - 4. Let x(q) = 24*q - 18. Let b(o) = -9*r(o) + 2*x(o). Calculate p(b(u)). 78*u Let u(g) = -g. Let y(s) = 2106*s. Give y(u(z)). -2106*z Let u(o) = -9*o. Let w(z) = z**2 - 1. Let t(f) = 10*f**2 - 12. Let v(c) = -t(c) + 12*w(c). What is u(v(g))? -18*g**2 Let d(f) be the first derivative of 0*f**2 - 2/3*f**3 + 0*f - 1. Let b(g) = -3*g. Calculate b(d(v)). 6*v**2 Let q(t) = 184*t**2. Let l(j) = 42*j**2. Determine q(l(x)). 324576*x**4 Let v(t) = t. Let l(r) = 51 + 8*r**2 - 51. What is v(l(x))? 8*x**2 Let s(a) be the first derivative of 2*a**3/3 - 4. Let z(f) be the first derivative of f**2 - 3. What is s(z(p))? 8*p**2 Let m(o) = -26*o. Let t(a) = -2*a. Determine t(m(q)). 52*q Let j(o) = 2*o. Let d = 8 + -13. Let z(l) = -4*l - 2. Let f(x) = -x + 9*x - x + 2*x + 5. Let y(b) = d*z(b) - 2*f(b). Determine y(j(c)). 4*c Let p(o) = -60*o**2 + 25*o + 25. Let i(x) = -5*x**2 + 2*x + 2. Let v(b) = -25*i(b) + 2*p(b). Let t(a) = -4*a**2. Calculate t(v(g)). -100*g**4 Let k(w) = -w + 8. Let x(z) = 3*z - 4. Let n be x(3). Let r be k(n). Let i(h) = -r*h + 7 - 7. Let c(y) = y**2. What is c(i(l))? 9*l**2 Let f(r) = -r**2 - 2*r + 8. Let x be f(-4). Let j(p) be the second derivative of x*p**3 + 0*p**2 - 1/12*p**4 + 0 + 3*p. Let w(b) = -2*b. Determine w(j(l)). 2*l**2 Let p(h) = -1129*h. Let w(q) = 2*q. Give p(w(z)). -2258*z Let u(h) = -4*h**2. Let m(w) = -w**2. Let s(q) = -6*m(q) + 2*u(q). Let a(l) be the first derivative of -8*l**3/3 - 2. Give s(a(o)). -128*o**4 Let k(w) = -w**2 - 2*w**2 - 22*w + 22*w. Let u(d) = d - 2. Let x be u(5). Let j(s) = -2*s + 3 - x. What is k(j(y))? -12*y**2 Let c(s) = -2*s**2 - 7*s. Let d(v) = -2*v. Determine d(c(a)). 4*a**2 + 14*a Let x(t) be the first derivative of t**2 - 5. Let i(w) = -11*w**2. Give i(x(f)). -44*f**2 Let g(l) = -l**2. Let y(c) be the first derivative of -2*c**3/3 - 5. Determine y(g(i)). -2*i**4 Let n(z) = 140*z**2. Let w(g) = -6*g. Calculate w(n(x)). -840*x**2 Let v(t) = -t + 3. Let l be v(3). Suppose -f = -l*f. Let b(g) = f*g + 3*g + 0*g. Let m(s) = 2*s. What is b(m(o))? 6*o Let n(z) be the second derivative of z**4/24 - 3*z**2 - 4*z. Let f(u) be
{ "pile_set_name": "DM Mathematics" }
*l, -1971*x + 1974*x + 2*l = 2 for x. 4 Solve -5*c = -4*x + 13, -2*x = 5798*c - 5802*c - 14 for x. -3 Solve -4*f = -4*w - 12, 0 = 5*w + 530*f - 529*f - 15 for w. 2 Solve 0 = 3*b + 57, -3*w - 277 = -b - 290 for w. -2 Solve -2*r - 3*q = 8, 9*q = 6*q for r. -4 Solve 2*f + 30 = -5*q, 5*f + 52 = 688*q - 689*q for f. -10 Solve -8*h = -4*q - 2*q + 3*q - 132, 60 = 4*h - 3*q for h. 18 Solve -13 = s - 2*m, -3*m + 37 = 47*s - 45*s for s. 5 Solve -749*s = -4*q - 750*s, 34 = -q + 4*s for q. -2 Solve 43 = d - 33*f + 38*f, 52*d - 2*f - 140 = 0 for d. 3 Solve 8*g - 105 = 5*o, o + 248 = 4*g + 203 for o. -5 Solve -j + 13 = -4*h, -2*j + 4*h + 32 - 22 = 0 for j. -3 Solve -1696*k - 87 = -1694*k - 5*s, -6*s = -4*k - 98 for k. 4 Solve -2*n = 4*k - 2324 + 2356, 4*n + 3*k + 69 = 0 for n. -18 Solve 0 = -3*c + 85*z - 86*z - 9, -3*c + z - 3 = 0 for c. -2 Solve 4*g - 39 = -3*v, -v + 33*g = 28*g + 44 for v. 1 Solve 6008*t - 4*q = 6004*t - 108, 3*t + 4*q = 94 for t. -2 Solve m + 1521 = -5*y + 1526, 2*y - 3*m = -15 for y. 0 Solve 4*q = -2*v - 16, -v + 59*q - 4 = 60*q for v. 0 Solve -p - 5 = 0, -35*p + 30*p = 2*c + 35 for c. -5 Solve -y = 4*p + 68 - 86, 0 = -5*p - 5*y + 30 for p. 4 Solve 2*s - 4061 = 2*r - 4045, -3*r = -2*s + 17 for r. -1 Solve 0 = -6*q + i - 131 + 106, 0 = -i + 7 for q. -3 Solve -3*p - 16 = 4*z, 0 = -z + p + 6 - 3 for z. -1 Solve -60*h + 63*h + 12 = 2*g, -g + 4*h + 11 = 0 for g. 3 Solve 0 = 3*k - 15*z + 12*z - 15, -z - 9 = 0 for k. -4 Solve 40*y + 4 = -4*h + 44*y, -410 = 2*h - 104*y for h. 3 Solve 5*s - 5*f = 60, -s - 5218*f - 15 = -5216*f for s. 3 Solve -63*g = -4*p - 58*g + 17, 6*p + 4*g = 14 - 0 for p. 3 Solve 2*y - 14 = -r, -35*y + 31*y = -2*r - 36 for r. -2 Solve 5*t + 67 = 52, 4*t + 12 = 8*a for a. 0 Solve -y = 4*b + 24, -5 = -3*y + 385*b - 386*b for y. 4 Solve -p - 20*q + 14 = -24*q, 8*p = -3*q + 7 for p. 2 Solve -513*u - 3*h = -508*u + 10, 5*h = u + 2 for u. -2 Solve x - 20 = 53*m - 48*m, 0 = -x - 3*m - 20 for x. -5 Solve 44*d - 49*d + 7 = -4*x, -5 = -d + 2*x for d. -1 Solve 5*p - 5*y - 95 = 0, -2*y + 46 = -10551*p + 10553*p for p. 21 Solve m - 2 = 3*z, 5*z + 318 = -4*m + 292 for m. -4 Solve -3*x + 9 = 307*m - 296*m, -4*x - m = -12 for x. 3 Solve 15 = 4*a + i, -1701*i = -3*a - 1698*i + 30 for a. 5 Solve 3*x + 4 = -h, 3*h + 59 = -7*x + 111 - 58 for h. 5 Solve -4*x = -5*p + 6, 14 = -3*x - 305*p + 304*p for x. -4 Solve -20*z + 19*z = -g + 4, -5*g = 3*z + 20 for g. -1 Solve -6 = 2*k + 2*x, -24 = 5*k - 2*x - 65 for k. 5 Solve 827*h - 823*h = -4*d - 16, 3*h - d + 28 = 0 for h. -8 Solve -11 = -3*q + 11*n - 6*n, 0 = -5*q - 4*n - 31 for q. -3 Solve -20*h - 21*l + 91 = -22*l, -5*l + 65 = 4*h for h. 5 Solve -2*s = -4, -77*s + 76*s - 22 = -8*g for g. 3 Solve 1410*z = 1409*z - 5*l - 3, -2*l = 5*z + 15 for z. -3 Solve 0*j - 6 = 2*j, 3*w + 7*j = -12 for w. 3 Solve -2*n + 3*g = 21, 0 = -3590*g + 3589*g + 7 for n. 0 Solve -b + 111 = 2*z + 124, -4*z - 6*b = 38 for z. -5 Solve -117*p + 112*p = h - 53, 3*p = 4*h + 41 for p. 11 Solve 671*s - 27 = 2*v + 668*s, 4*v = 2*s - 34 for v. -6 Solve -2*g = z - 12, g - 9 = -z - 1 for g. 4 Solve 4*k + 16 = -5*l, 87*k - 19*l - 79 = 84*k for k. 1 Solve -347*k + 29 = -3*o - 342*k, 3*o + 13 = k for o. -3 Solve 612 = -2*c + o + 621, 5*c = -2*o for c. 2 Solve 108 = 18*t, 3*t = -2*p - t + 5*t + 4 for p. 5 Solve 0 = -m - l + 3, -2*m - 22 = -24*l + 22*l for m. -4 Solve 4*j - 216 = 4*s - 168, -2*s = -4*j + 28 for j. 2 Solve 2*d = -5*q - 62, -5*q - 65 = 13*d - 8*d for q. -12 Solve -t = 3*q + 7, 22*t - 19*t + 21 = 4*q for t. -7 Solve 187*t + 4 = 4*o + 191*t, 7*o - t = -33 for o. -4 Solve 44*s + 2*l = 48*s + 10, 2*s - 13 = -5*l for s. -1 Solve -5*y - 5*u = 0, 3*y - 2*u = -y - 12 for y. -2 Solve 0 = g - 5*p - 18, -89*g + 2*p + 18 = -85*g for g. 3 Solve 5*u = -2*r + 24, -8*r = 3*u - 10*r - 8 for u. 4 Solve 5*c + 6716 = 3*q + 6684, -c - 8 = -q for c. -4 Solve u - 3 = 5*g, 162*g = 154*g - 3*u - 14 for g. -1 Solve -79*n + 84*n = -3*c + 19, -2*c = 10*n - 26 for n. 2 Solve -13 + 17 = 5*v + 2*t, -3*t = 4*v - 13 for v. -2 Solve 0 = -5*y - 2*x + 17, 0 = 100*y - 89*y - 2*x + 1 for y. 1 Solve -5*l + 5 = 0, 29 = 5*j - l + 50 for j. -4 Solve -8*o - 16 = 2*r, 386*o = 385*o + 3*r - 2 for o. -2 Solve 8*w - 7*w + t + 30 = 0, -6*w - t = 45 for w. -3 Solve 4*k - 51 = -5*l - 67, -8 = 2*k - 5*l for k. -4 Solve 4*c + 30 = -5*b + 6*c - c, 0 = 3*b + 4*c - 5 for b. -5 Solve h - 4*t - 12 = 0, -h - 2*t - 1355 = -6*h - 1367 for h. -4 Solve 0 = -3*h - l - 97 + 92, -2*l - 32 = -5*h for h. 2 Solve -y = 2*n - 14, 4894 = -4*n + 3*y + 4932 for n. 8 Solve 211*l = 208*l - 2*n - 1, -74*l = -5*n + 79 for l. -1 Solve -2*q = 5*t - 21, -11*t = -9*t + 2*q - 6 for t. 5 Solve 5*i + 2*f + 11 = 0, 158*i - 155*i - 4*f = 61 for i. 3 Solve -35*d + 39 = -32*d + 6*r, -d = -4*r + 5 for d. 7 Solve -2*y = 3*b + 12, 5*y - 1199 + 1206 = 4*b for b. -2 Solve -p + 10 = k, 0 = 17*k - 21*k - 2*p + 44 for k. 12 Solve 4*q - 11*n + 16*n + 11 = 0, q - n + 5 = 0 for q. -4 Solve 290*k - 2*w = 287*k, 0 = -2*k - w for k. 0 Solve -4*v = -10*n - 144, 3*v - 3403 = -5*n - 3470 for n. -14 Solve 304*h = -d + 300*h + 12, 123*d - 486 = 3*h for d. 4 Solve 136*b - 139*b + 6*x - 51 = 0, 4*x - 10 = 2*x for b. -7 Solve -304*o + 299*o + 3*b - 54 = 0, -3*b = 5*o + 36 for o. -9 Solve -1 = -3*a + m, 366*m - 370*m - 4 = -2*a for a. 0 Solve 4*v = -v + 7*f - 80, -4*v - f - 31 = 0 for v. -9 Solve d - 2356*c + 2354*c = -6, 13*d + 15 = 5*c for d. 0 Solve 5*y + 115 = 35*g, -2*g - 26 + 34 = 0 for y. 5 Solve 4*c + 4 = 6*v, -2*v - 17 + 7 = 7*c + 22 for c. -4 Solve 2*q - 198 = 6*s, 4*s + 88 = 2*q - 44 for s. -33 Solve 58*o + 2*j = 57*o - 15, o - 17 = 2*j for o. 1 Solve 16*w = -3*u + 7 + 36, -2*u = -5*w - 13 for u. 9 Solve 5*i + 195*o = 200*o - 60, 4*i + 46 = 3*o for i. -10 Solve 4*q = 3*x + 5, 307*q - 309*q = 2*x - 20 for q. 5 Solve 53 = -3*y + 5*v, 393*y + 2*v = 398*y + 82 for y. -16 Solve 2*o - 5*o + 10 - 16 = 0, -p + o = 1 for p. -3 Solve -1 = 22699*d - 22698*d - 5*w, -2 = 2*d - w for d. -1 Solve -2*f + 742 = -5*p + 757, 2*f - p = -11 for f. -5 Solve 13 = -d, -706*j + 690*j - 3*d - 103 = 0 for j. -4 Solve 3*c - 2130 = -2142, -2*m + 14 = -5*c for m. -3 Solve -i = 5*g - 8135 + 8157, 0 = -2*g + 2*i - 16 for g. -5 Solve 3*m - x + 9653 = 9645, -28 = 3*m + 4*x for m. -4 Solve -5*h - 2*m = 0, 42*m = 2*h + 43*m + 1 for h. 2 Solve 0 = -3*o + 5*l + 7043 - 7080, -l + 17 = -3*o for o. -4 Solve 3*o = -f - 7 + 18, 0 = 4*o - 6*f - 22 for o. 4 Solve 3*r - 6*r = -3*d + r + 60, -3*d + 72 = -5*r for d. 4 Solve 2*p - 52 = s - 49, -3*p = 0 for s. -3 Solve 10 = 2*f - 3*t, 0 = 4692*f - 4691*f + 4*t + 28 for f. -4 Solve -4*r + w = 16, -4*w - 26 = -1254*r + 1256*r for r. -5 Solve 2*x + 2304*l = 2309*l - 29, -x = 4*l - 5 for x. -7 Solve 0 = -3*g + 2*z - 1, 4 = 3*g + 4*z - 7 for g. 1 Solve 118*r - 4*m + 14 = 117*r, 3*r - 14 = -2*m for r. 2 Solve -4*p + 1339*d + 37 = 1334*d, 0 = p + 6*d - 2 for p. 8 Solve -2*g + 21 = 2*d + 5, -3*d = -5*g + 16 for g. 5 Solve w + 84 - 89 = 0, -55 = -2*x - 9*w for x. 5 Solve 0 = -3*z + 3*p, -1131*z + 10 = -1132*z - p for z. -5 Solve 2*t + 2*p + 44 = 0, -3704*t + 3703*t = -2*p + 16 for t. -20 Solve -9*y - 36 = 3*c, -y - 17 + 13 = -2*c for c. 0 Solve 2*n = v + 10, -3*v - 21520 = -2*n - 21506 for v. -2 Solve 0 = 4*b - 2*k - 44, -674*b + 673*b + 14 = k for b. 12 Solve 15 = 5*s - 3*c, -487 = 5*c - 462 for s. 0 Solve 2016*r - 6*q = 2009*r - 122, -83 = 4*r + q for r. -20 Solve -4*p - 536*d - 28 = -537*d, p + 26 = 5*d for p. -6 Solve 2*x - w - 4 = 0, -4 = -103*w + 105*w for x. 1 Solve -5*p - 39 = 2*c, -3*p + 478 = 4*c + 507 for c. -2 Solve -4*k + 25 - 57 = -5*t, 0 = -3*k - 5*t + 11 for k. -3 Solve 5*x + h + 12 = 0, -2*x - 63 + 65 = -3*h for x. -2 Solve -r - 16 = -3*w, 3*w = 5*r + 74 - 42 for r. -4 Solve g = 6*g + 15, 4*w + 5*g - 5 = 4*w + 4*w for w. -5 Solve 3*o + 10*p - 41 = -0*o, o + 3*p = 12 for o. -3 Solve 0 = 3*i - 3*n + 18, 220*n - 223*n = -6*i - 24 for i. -2 Solve -y + 7*x - 4*x = -6, -5*y - 2*x - 131 = -144 for y. 3 Solve -3*c = 19855*f - 19851*f + 17, 3*f + 3 = c for f. -2 Solve -4*g + 9 = -22*u + 25*u, 3*g + 9 = 3*u for g. 0 Solve -3*j + 30 = -p, 5*p + 5 = -3*j + 35 for p. 0 Solve 2*j = 3*f + 20, -47*j - 13 = -42*j + 3*f for j. 1 Solve 3*p - 25809*g - 10 = -25808*g, -4*p + 20 = 2*g for p. 4 Solve -4*q + 32 = -4*k, -3*k - 14 = 6*
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence pppu? 11/646 Two letters picked without replacement from {o: 2, b: 1, p: 1, e: 1, l: 1, m: 1}. Give prob of sequence le. 1/42 Two letters picked without replacement from {d: 12, z: 1, x: 3}. Give prob of sequence dx. 3/20 What is prob of sequence xxox when four letters picked without replacement from {x: 3, o: 2}? 1/10 What is prob of sequence hown when four letters picked without replacement from {n: 3, j: 1, w: 2, o: 5, k: 1, h: 8}? 2/969 Calculate prob of sequence cxsc when four letters picked without replacement from cbscsbxxsbsbs. 1/858 What is prob of sequence aaab when four letters picked without replacement from {b: 6, a: 6}? 2/33 Three letters picked without replacement from zdzztxxxrmdxxmrxzxxd. Give prob of sequence zrt. 1/855 Two letters picked without replacement from {y: 1, r: 1, l: 7}. Give prob of sequence rl. 7/72 What is prob of sequence ca when two letters picked without replacement from azbzabazhbbucuz? 1/70 What is prob of sequence klkk when four letters picked without replacement from {l: 1, c: 5, f: 1, k: 5}? 1/198 What is prob of sequence lcg when three letters picked without replacement from {h: 2, l: 7, g: 3, c: 5}? 7/272 What is prob of sequence lwff when four letters picked without replacement from iiiwwwfwwlifgfiiwff? 5/3876 What is prob of sequence ulu when three letters picked without replacement from {m: 3, h: 4, u: 2, p: 3, l: 1, r: 2}? 1/1365 What is prob of sequence mk when two letters picked without replacement from eyymeekttti? 1/110 Calculate prob of sequence nnxv when four letters picked without replacement from xnexnxv. 1/140 What is prob of sequence css when three letters picked without replacement from {s: 2, c: 3}? 1/10 Two letters picked without replacement from {q: 2, b: 11, e: 2, a: 1}. Give prob of sequence ba. 11/240 Two letters picked without replacement from qwqqwwwqqwqwqgwqwwq. What is prob of sequence qg? 1/38 What is prob of sequence yjy when three letters picked without replacement from eeeeeeeyeyejeeey? 1/560 Four letters picked without replacement from niniionnnoninn. What is prob of sequence iiin? 8/1001 Four letters picked without replacement from {q: 3, k: 3, g: 2, y: 8}. What is prob of sequence gkgq? 3/7280 Four letters picked without replacement from {v: 2, q: 5}. Give prob of sequence qvvq. 1/21 Calculate prob of sequence gnn when three letters picked without replacement from fgfrfrrnrrrfrfnfrf. 1/2448 What is prob of sequence gcg when three letters picked without replacement from {c: 2, g: 3}? 1/5 Calculate prob of sequence pd when two letters picked without replacement from {g: 4, r: 1, n: 2, d: 1, u: 3, p: 1}. 1/132 Two letters picked without replacement from {n: 2, v: 4}. What is prob of sequence vv? 2/5 Three letters picked without replacement from tltttttdttttdldtt. Give prob of sequence dll. 1/680 Three letters picked without replacement from {z: 1, q: 1, o: 5, h: 5, b: 2, x: 1}. What is prob of sequence hqx? 1/546 Four letters picked without replacement from {u: 9, t: 7}. What is prob of sequence uuuu? 9/130 What is prob of sequence vchz when four letters picked without replacement from zmzqqvch? 1/840 Three letters picked without replacement from {f: 4}. Give prob of sequence fff. 1 Calculate prob of sequence cfx when three letters picked without replacement from {x: 5, f: 1, c: 7}. 35/1716 What is prob of sequence qqo when three letters picked without replacement from qqoojqojooq? 2/33 Two letters picked without replacement from kqqzgk. What is prob of sequence gk? 1/15 Four letters picked without replacement from {p: 1, v: 2, k: 1, h: 1, m: 1, e: 1}. Give prob of sequence pmve. 1/420 Two letters picked without replacement from uegbkkktktbu. Give prob of sequence ub. 1/33 Calculate prob of sequence gga when three letters picked without replacement from kxagdxg. 1/105 Four letters picked without replacement from aaahuaahahihajhhh. What is prob of sequence haij? 7/8160 Four letters picked without replacement from rrggggggrrgqq. Give prob of sequence rrrr. 1/715 Four letters picked without replacement from {q: 1, x: 2, s: 1, c: 2, e: 1}. Give prob of sequence ecqc. 1/420 What is prob of sequence jdb when three letters picked without replacement from {b: 1, g: 4, d: 1, j: 2}? 1/168 What is prob of sequence uu when two letters picked without replacement from iuddaxxfiuxid? 1/78 What is prob of sequence rc when two letters picked without replacement from {i: 1, v: 1, b: 1, c: 1, r: 1}? 1/20 Calculate prob of sequence vjc when three letters picked without replacement from cvvjvvvjvcjvcjvc. 4/105 Two letters picked without replacement from xmxbixbmfxki. Give prob of sequence bx. 2/33 Calculate prob of sequence oou when three letters picked without replacement from ouuuuuuouuuu. 1/66 Two letters picked without replacement from gggggxggggggggg. Give prob of sequence xg. 1/15 What is prob of sequence yf when two letters picked without replacement from {f: 3, y: 16, t: 1}? 12/95 Two letters picked without replacement from {t: 3, w: 1, d: 3}. What is prob of sequence tt? 1/7 Four letters picked without replacement from ejrjjermmmjerrrjreme. What is prob of sequence mjjr? 4/969 Two letters picked without replacement from gmeg. What is prob of sequence eg? 1/6 Two letters picked without replacement from {h: 4, z: 1, n: 1, m: 2}. Give prob of sequence mn. 1/28 Four letters picked without replacement from {n: 2, g: 1, v: 3, w: 1}. What is prob of sequence nnvw? 1/140 Two letters picked without replacement from {k: 4, a: 1, u: 5, n: 2, o: 2}. Give prob of sequence oo. 1/91 What is prob of sequence ke when two letters picked without replacement from {e: 4, k: 3}? 2/7 Three letters picked without replacement from {c: 2, z: 2, e: 3, l: 2}. Give prob of sequence ecz. 1/42 Three letters picked without replacement from {q: 2, b: 1, k: 1, s: 1, v: 2, m: 1}. What is prob of sequence vqs? 1/84 Calculate prob of sequence et when two letters picked without replacement from {w: 1, t: 1, h: 3, e: 2, f: 2, o: 3}. 1/66 What is prob of sequence qqnn when four letters picked without replacement from nqnnnnnnnnnnnnnnnnqn? 1/190 What is prob of sequence uuu when three letters picked without replacement from {w: 3, c: 1, u: 3, o: 6, j: 3}? 1/560 Four letters picked without replacement from vvvvvvccvvvv. Give prob of sequence cvvv. 4/33 Two letters picked without replacement from okokovvkovok. What is prob of sequence ok? 5/33 Three letters picked without replacement from wwwwspwspwshwswwswss. What is prob of sequence spw? 7/342 Three letters picked without replacement from wwsooz. Give prob of sequence zoo. 1/60 Two letters picked without replacement from {x: 1, c: 1, i: 2, e: 1, r: 1, b: 1}. What is prob of sequence ir? 1/21 Four letters picked without replacement from xvxxvvxx. Give prob of sequence vvvx. 1/56 What is prob of sequence zkkc when four letters picked without replacement from {r: 3, m: 6, k: 5, z: 2, c: 2}? 1/918 Two letters picked without replacement from daddddddadddddddddd. What is prob of sequence aa? 1/171 Two letters picked without replacement from hddaaahadd. Give prob of sequence ad. 8/45 Three letters picked without replacement from svsssvv. What is prob of sequence svv? 4/35 Calculate prob of sequence dd when two letters picked without replacement from {x: 2, d: 4}. 2/5 Calculate prob of sequence np when two letters picked without replacement from {k: 3, p: 1, n: 1}. 1/20 What is prob of sequence ffx when three letters picked without replacement from xfxxfex? 4/105 Four letters picked without replacement from jjjjtsjjjtjstjjt. Give prob of sequence tsss. 0 What is prob of sequence ff when two letters picked without replacement from {y: 4, i: 1, k: 4, f: 4, b: 1, c: 3}? 3/68 Two letters picked without replacement from {b: 6, j: 7}. What is prob of sequence bj? 7/26 Three letters picked without replacement from wyllwwywwy. Give prob of sequence lly. 1/120 Calculate prob of sequence ppp when three letters picked without replacement from {p: 13, x: 3}. 143/280 Two letters picked without replacement from ivpmmiimmirpmrmvv. Give prob of sequence mr. 3/68 Calculate prob of sequence ek when two letters picked without replacement from {e: 1, l: 2, k: 7}. 7/90 Fou
{ "pile_set_name": "DM Mathematics" }
ond smallest value? (a) 2/7 (b) x (c) -45 b Let b = -405.35 - -392. Let h = -14 - b. Let x = h - -0.25. What is the smallest value in 0.16, x, 0? x Let m be (-22)/18 + 1 - 4256/(-19665). Which is the smallest value? (a) -3 (b) m (c) -2 a Let w = -1545.7 - -1725. Let n = -179 + w. Which is the second smallest value? (a) 0.14 (b) -3/5 (c) n (d) -0.5 d Let u be 222/42 + 30/(-2 + -4). What is the third smallest value in u, 3, 13.2, 0.1, -2/13? u Let r = -9 - -103. Let t = -6592/3 - -2290. Let x = t - r. Which is the smallest value? (a) 2 (b) x (c) 3/4 b Let j = -244.002 + 244. Let s = 0.174 - -2.828. Let m = j + s. Which is the third biggest value? (a) 0.03 (b) -3 (c) m b Let n = -744.92 - -745. Let x = 353 - 352. Which is the third biggest value? (a) n (b) x (c) -3 (d) -0.5 d Let m(o) = 4*o - 127. Let w be m(30). Let l be (-7)/((-7)/(-4))*w/42. Which is the second biggest value? (a) 5 (b) -4 (c) l (d) 0 c Let v = -67/302 + -42/151. What is the biggest value in 4, 3/5, v, 2, -3/2? 4 Let d = 8731 + -8897. What is the third biggest value in 4, -1, d? d Let p = 14.86 - 15.86. What is the third biggest value in p, 0.3, -2/23, -30, -1/6? -1/6 Suppose -4*u + 1365 = u. Let x be (-264)/10 + (-160)/(-400). Let q be 128/21 + x/u. What is the third biggest value in -4, 0.3, q? -4 Suppose 194*n = 573 + 13 + 384. Which is the biggest value? (a) 83 (b) n (c) -17 a Let j = -35.73 - -36. Let y = -3.73 - j. Let x = 9.42 - 11.42. Which is the biggest value? (a) y (b) 3/5 (c) x b Let s(v) = 6*v**2 - 4*v - 14. Let w be s(-3). Suppose -6*c + w = 40. Let f = -0.46 + 0.06. What is the biggest value in c, -1/5, f? c Let m = 235.02 + -235. Let w = -512 - -8702/17. What is the second smallest value in m, w, 0.05? m Let t be (1 - 0)*2/5. Suppose 2*c - 16 = -3*i + 3, -2*i = 4*c - 10. Suppose 4 = q + i. What is the third biggest value in -0.2, q, t? q Let t(j) = 3*j + 19. Let w be t(8). Let c = -218/5 + w. Let m be (19/(-57))/(8/30). What is the second biggest value in m, -1/3, c, -5? c Let d(i) = i**2 - 2. Let t be d(2). Suppose 4*y + 87 = t*v + 3, 0 = 3*y + 3. Let x be v/140 + ((-2)/(-7) - 0). What is the third smallest value in -6/13, 4, x? 4 Let u = -19.16 - -30.16. What is the fourth biggest value in u, 1, 7/5, 1/2? 1/2 Let w = 29969 + -29974. Let o = 13 - 22. Which is the third biggest value? (a) o (b) 2/9 (c) -2/15 (d) w d Let t = -30 - -33. Let l = 120 + -125. Which is the smallest value? (a) -2 (b) l (c) t (d) 1 b Let x = 643/18 + -71/2. Let g = -0.164 + -9.836. Which is the third biggest value? (a) x (b) 0.5 (c) g c Let j = -135 + 309. Let m = 179 - j. Which is the second smallest value? (a) -1 (b) -2/11 (c) m (d) 2 b Let y = -43.61 - -43.71. Which is the smallest value? (a) 2/27 (b) -10 (c) -4 (d) y b Let o = 59.1 - 59. Let f = 187 + -187.079. Let g = f + -0.321. Which is the biggest value? (a) -3 (b) g (c) o c Let g = 1.12 - 0.54. Let q be 6*4/16 + 7370/268*(-1)/5. Which is the second biggest value? (a) -2/5 (b) g (c) q (d) -2 a Let w = 9 + 17. Let r = 0.60171 - 4.60171. Which is the biggest value? (a) -3/5 (b) w (c) r b Let c = 171 - 400. Let x = 232 + c. What is the second biggest value in x, -4, -11? -4 Let t = 2420 + -2425. Let i = 31 + -93. Which is the third biggest value? (a) 1 (b) t (c) i (d) 0 b Let v = 86.5 - 44. Let g = -276 - -319. Let p = g - v. What is the smallest value in p, -3, 4? -3 Let g = 0.0696 - 3.0696. What is the fourth smallest value in 2/9, g, 2/21, -2/15? 2/9 Let q(g) = -g**3 - 4*g**2 - 5*g - 5. Let j be q(-2). Let x be ((-581)/(-21))/(1/j). What is the third smallest value in -2, x, 5, -5? -2 Let j be ((-9)/(126/8))/((-54)/21). Let w = -22.1458 + 0.1458. What is the second smallest value in 0, w, j, 1? 0 Let x = -0.2 + 0.8. Let u = -2.6 + x. Let y = -14/3191 + -9461/25528. What is the biggest value in y, 0, u? 0 Let i = -0.20219 - -0.31219. Which is the third biggest value? (a) 0.4 (b) -4 (c) i (d) -7 (e) -0.5 e Let l = 4711 - 4713. Let z = 7 + -6.7. What is the biggest value in l, z, -20, 0? z Let v = -50 + 42. Let u = 55 + -32. Let r = u + -43/2. Which is the smallest value? (a) r (b) v (c) 3 (d) -0.4 b Suppose -116 = -4*q - 2*x, 0 = q + q + 4*x - 58. Suppose 5 = -0*n - 5*n + 2*d, 0 = -4*n - 5*d + q. Which is the biggest value? (a) n (b) -0.3 (c) -6 a Let l = 1 - -4. Let b = 15/1037 + -1067/2074. What is the third smallest value in l, -5, b? l Let o = -20983/39 - -6990/13. What is the second biggest value in 0.2, o, 2/3, 0.1, -6/5? 0.2 Let z = 25.5853 - 9.5853. Let q = -7.7 + 8. Which is the second biggest value? (a) z (b) -3/5 (c) q c Let u = -112.61 - -116. Let i = 3.8 - u. Let y = i - 0.41. Which is the second biggest value? (a) 1 (b) 0.3 (c) y b Let c = 45/1259 + 6205/2518. Let s = -0.46 + 0.06. What is the fourth biggest value in s, -1, 0.12, c? -1 Let x = 632.663 - 632. Let n = 5.663 - x. Which is the third biggest value? (a) 1/5 (b) n (c) 49 a Let j = -0.91219 + 0.71219. Let u be (0 + -1)*(-5 - 0). Which is the third smallest value? (a) j (b) u (c) 10 (d) -2 b Let s be 10 - 12 - ((-322)/105 - -1). Which is the third biggest value? (a) -50 (b) 0.3 (c) -1/3 (d) s c Let i = -10 + 11. Let p = i + -5. Let j = -0.015 + -0.285. Which is the smallest value? (a) p (b) j (c) 44 a Let o = 0.188 + -0.388. Suppose -2*t - 3 = 5. What is the fourth smallest value in 0.26, -2, o, t? 0.26 Let t = 10.3 + -243. Let r = 233 + t. What is the second smallest value in 3/2, 0.18, r, -2/17? 0.18 Let r = 0.41 + -0.01. Let g = 4.4 - r. Let p = 10445 + -10444.9. What is the biggest value in 2/15, g, -0.6, p? g Let c = 0.04004 + -0.04004. What is the fourth smallest value in -121, c, 1, -2? 1 Let l = -2271 - -2276. What is the third smallest value in l, -0.086, -5? l Let v = 5717/205 + 21/41. Let t = -29 + v. Let s be ((-2 - 0) + -8)/2. What is the fourth smallest value in s, 5, -0.4, t? 5 Let v(z) = z**2 + 4*z - 7. Suppose 15*r + 8 = 14*r. Let i = r + 2. Let l be v(i). Which is the biggest value? (a) 2 (b) 4 (c) -6/11 (d) l d Let k = -0.03 - 0.27. Let j = 5340194/7 + -762885. Which is the fourth smallest value? (a) -3 (b) 0.2 (c) j (d) k b Let r = -40.94 - -41. Let d = r - 0.26. Let i = -31 - -30.9. Which is the smallest value? (a) i (b) -2.1 (c) d b Let s = 177.9 + -189. Let f = s - -10.1. Let w = 0.128 - 0.028. Which is the smallest value? (a) w (b) 1 (c) 5 (d) f d Let r = -0.3 + 4.3. Let f = -47 - -52. Let h = 10.95237 - -0.04763. What is the biggest value in r, -0.5, f, h? h Let f = -2.3 - -2.7. Let k be (24/(-60))/(147/45 - 3). Which is the biggest value? (a) k (b) f (c) -1 (d) -16 b Let p = -2.99 + -0.01. Suppose 3*q = 5*g + 480, 4*q - 3*q = -5. Let t = 101 + g. Which is the second smallest value? (a) p (b) t (c) 4 b Let c = 19609.9 - 19611. Let b = -0.27 + -0.03. What is the second biggest value in -5, 3, b, c? b Let s = 1.7 - 1.3. Let u = 3884 + -3887. Which is the third biggest value? (a) s (b) 4 (c) u c Let t = 2881 + -2880.8. Which is the second smallest value? (a) -930 (b) 1 (c) t c Let t(u) = 123*u + 2456. Let h be t(-20). Which is the smallest value? (a) -1/5 (b) -3 (c) 2/5 (d) -4.4 (e) h d Let k = -411 - -411.3. What is the third smallest value in k, 4.2, 28? 28 Let j = -138 + 142. Suppose j*d - 18 = -2*d. What is the third biggest value in 0.5, d, 73? 0.5 Let c = 24210.6 + -24211. Let l = -4.07 + 4. Let z = -6.9 + 7.4. What is the second smallest value in 1, l, z, c? l Let x = -4.98782 + -0.01218. What is the second biggest value in 2/19, 3, -2, x? 2/19 Let z = 6 - 4. Let q = 2503.6 + -2504. Which is the third biggest value? (a) 24 (b) z (c) -2 (d) q d Let s = -13 + 12.7. Let f be -21*(-13)/364 - 38/8. What is the second smallest value in s, -3, 0.1, f? -3 Let h be (-1184)/370*5/(-4). What is the fourth biggest value in 2, 0.5, 21, h? 0.5 Let u be 9/24 - (-165)/440. What is the fourth biggest value in 2/19, u, -2/9, 9? -2/9 Let i = 1311/17 + -77. Let k = 69.2 - 70. Let o = k - -0.6. What is the third smallest value in 3, o, i? 3 Let y = 7/232 - -109/232. Which is the biggest value? (a) -1 (b) y (c) 3 c Let n be ((-15)/9)/(-27 - 663/(-34)). Which is the smallest value? (a) 4 (b) 15 (c) n (d) -10 d L
{ "pile_set_name": "DM Mathematics" }
+ 2 + 6). 57*a Expand -z - 43 + 2*z + 35 + z + 2*z + 0*z + (1 + 2*z - 1)*(2 - 2 + 2). 8*z - 8 Expand (2*c - 1 + 1)*(-c - 3*c - 2*c)*(5*c - 5*c - 6*c). 72*c**3 Expand 7*v**3 + 13*v**3 - 6*v**3 + (0*v + 0*v - v)*(-1 + 1 - 2*v**2) - v**3 + 7*v**2 - 7*v**2. 15*v**3 Expand (1 - 16 - 23)*(-2 + 2*t + 2). -76*t Expand ((0 + 4 - 3)*(-2 + 2 - l) - 4*l + l + 2*l)*(-6*l + l + 3*l)*(198*l**3 - 575*l**3 + 1642*l**3). 5060*l**5 Expand -5 + 5 - 4*p + 0*p - 5*p + 3*p + 5*p - 3*p - 5*p + 4 - 2*p - 4 + (-1 - 1 + 0)*(3 + p - 3). -13*p Expand -45*y - y**2 - y**2 + 44*y - 2 + (-y + 0 + 0)*(y + 2 - 2). -3*y**2 - y - 2 Expand (0*f - 2*f + 5*f)*(-16 - 32 - 76). -372*f Expand -35 + 3*s + 35 + (-5 + 7 + 2)*((2*s - s - 2*s)*(-3 - 1 + 3) - 3*s - 5*s + s). -21*s Expand -8*r**5 + 14*r**5 - 7*r**5 - 2*r**4 + 2*r**4 - 14*r**5 + (r**4 + 2*r**4 - 2*r**4)*(2*r - 2*r + 2*r). -13*r**5 Expand 2*r**5 - r**5 + 2*r**5 + (-2*r**5 - r**5 + 5*r**5)*(-1 + 3 + 1) - 8*r**5 + 9*r**5 + 15*r**5. 25*r**5 Expand -10*c - 6*c - 12*c + 2*c - 3*c + 0*c - 2*c - c + 2*c + (3 + 3 - 5)*(-4*c + 0*c + 2*c) + 2*c - 3*c + 0*c - 11*c + 0*c + 26*c. -18*c Expand -250 - 237 - 109*x**4 + 489 + 5*x**4 - 2*x**4 - 2*x**4 + (0*x - 4*x + 2*x)*(x**3 + x**3 - x**3) + 1 - 2*x**4 - 1. -112*x**4 + 2 Expand (205*a + 7*a**3 - 205*a + 2*a**2)*(4*a - 4 + 4). 28*a**4 + 8*a**3 Expand (-5 + 3 + 3)*(-2 + 2 + l) + 0*l + 2*l + l + (-11 + 0 - 2)*(-2*l - 3 + 3). 30*l Expand -3*h + 3*h + h**3 + (0*h**2 + 5*h**2 - h**2)*(0 + 2*h + 0) - 2*h**3 + 15*h**3 + 7*h**3 + (-h + 3*h - 4*h)*(1 + 2*h**2 - 1). 25*h**3 Expand (-2005*j + 421*j**3 + 2005*j)*(-3*j + 3*j + j) + 3 - 2*j**4 - 3. 419*j**4 Expand -704*f - 710*f + 55 + 1415*f + (0 - 1 - 1)*(-2*f + 0*f + 4*f) - 2*f + 3*f - 2*f. -4*f + 55 Expand -3 + 3 + 3*i**4 + (-i**2 + 4*i**2 - i**2)*(2 - 2 - 2*i**2) + (5 - 21 + 7)*(3 + i**4 - 3) - 3*i**4 - 3*i**4 - i**4. -17*i**4 Expand 4*l - l - l + 5*l - 2*l - l - 2*l - 5*l + 5*l + 0*l + 0*l - l + (1 - l - 1)*(1 + 3 - 2). -l Expand 0*q - 4*q + 2*q + (-5*q + 3*q + 3*q)*(-5 + 4 + 0) + (-9*q - 7*q + 2*q)*(-2 + 5 + 3). -87*q Expand (-5*q + 4*q + 0*q)*(-27 - 27 - 85) - q - 5*q + 5*q. 138*q Expand (0 - 18*m + 1698*m**2 - 1701*m**2 - 5)*(0 + 3 - 2) + m**2 - 3*m**2 + 0*m**2. -5*m**2 - 18*m - 5 Expand (102*b + 25*b + 60*b + 6*b)*(b**2 + 2*b**2 - 2*b**2). 193*b**3 Expand (5 + 92 - 35)*(3*w - 1 + 1). 186*w Expand (t + 1 - 1)*(0*t**3 - 2*t**3 + t**3) + 0 + 0 + 2*t**4 + (-3*t + 0*t + 4*t)*(-3*t**3 + 2 - 2) + (64 + 70 - 30)*(-5*t**4 + 0*t**4 + 3*t**4). -210*t**4 Expand (-4 - 3*y + 4)*(-8*y**2 - 26*y**2 - 6*y**2). 120*y**3 Expand (4*a**3 - 3*a**3 - 3*a**3 + 0*a**3 + 0*a**3 + a**3 - a**3 - a**2 + a**2 + (4*a - a - 2*a)*(3 - a**2 - 3) + 2*a**2 - 2*a**2 - 2*a**3)*(2*a + 8*a + 3*a). -65*a**4 Expand l**2 + 0*l**2 + 6*l**2 + (3*l + 0 + 0)*(0*l - 2*l + 4*l) + (-3*l + l + l)*(5*l - 5*l + 2*l). 11*l**2 Expand (0*r - 2*r + 0*r)*(r**3 - 1 + 1) + (-2*r**2 + 2*r**2 + r**3)*((-6 + 0 + 0)*(-3*r + 7*r - 2*r) - 5*r + 2*r + r). -16*r**4 Expand (3 + 3 - 3)*(0*w + 3*w - 2*w)*(-32*w**4 + 224*w**4 + 180*w**4). 1116*w**5 Expand (-2*o + 3*o + 0*o)*(o**2 - o**2 + 2*o**4) + 77*o**2 - 17*o**5 - 77*o**2 + (5*o - 5*o + 4*o**4)*(0*o - 2*o + 0*o). -23*o**5 Expand (467 - 231 - 237 - 179*h)*(-4*h**4 + 2*h**4 + 3*h**4). -179*h**5 - h**4 Expand (0 - 2 + 1)*(118 - 272 + 123)*(-4*g**3 + 3*g**3 - g**3 + (3*g - 3*g - 2*g**2)*(-g - 4 + 4) + g**3 + 2*g - 2*g). 31*g**3 Expand (38 - 16*b - 78 + 39 + (-b - 2*b + 4*b)*(-5 + 0 + 3))*(0 + 0 + b**2). -18*b**3 - b**2 Expand (4*f**2 - 7*f + 7*f)*(234*f - 278 + 278). 936*f**3 Expand (-5 - 27 - 7)*(1 - 5*d - 2*d + 4*d)*(2*d - 3 + 3)*(-2*d + 4*d + 0*d)*(-4*d**2 + 4*d**2 + 3*d**2). 1404*d**5 - 468*d**4 Expand (-123 + 16*m + 123)*(3 + 4 - 3). 64*m Expand (5 - 5 + 2*u)*(3*u**2 - 3*u**2 + u**3) - 22*u**4 - 15*u**4 + 27*u**4. -8*u**4 Expand (0 + 0 - 3*z)*(-4 + 1 + 0)*(-6 - 8 + 6 + (-4 + 3 - 4)*(1 + 0 + 1)). -162*z Expand (2 + 2 + 5)*(21779 + 256*h - 21779). 2304*h Expand (-n**4 + 0*n + 0*n)*(-51*n - 189*n - 69*n). 309*n**5 Expand -87 + 19 + 2*k - 3*k + k + 2*k - 4*k + (0 + 0 + 1)*(0*k + 2*k - 3*k) + k - k + k. -2*k - 68 Expand (38 + 49 + 20 + 1)*(-6*f**4 + 5*f**4 - f**4). -216*f**4 Expand (h - h**2 - h)*(2*h**3 - h**3 + 3*h**3) + 25*h**4 - 25*h**4 - 26*h**5. -30*h**5 Expand -2*v**3 + 0*v + 0*v + (-v - 3 + 3)*(-20659 + 3*v + 20648 - v + 2*v**2). -4*v**3 - 2*v**2 + 11*v Expand (-1 - 3 - 2)*(1 - 1 - 3*k**2)*(-28 - 32 + 48*k**3 + 58). 864*k**5 - 36*k**2 Expand (-114 - 47 - 170 - 35)*(-2*m**2 + m**2 + 3*m**2). -732*m**2 Expand -2*s**4 - 4*s**4 + 4*s**4 + 2*s**4 - 4*s**4 + 0*s**4 + (3 + 4*s - 3)*(-s**3 - 3*s**2 + 3*s**2) + 0*s**4 + 4*s**4 + 2*s**4. -2*s**4 Expand -12*g**3 + 22 - 22 + (6 - 3*g - 6)*(2*g**2 - g**2 - 2*g**2). -9*g**3 Expand ((2 - 2*n - 2)*(5*n - 4*n - 3*n) - 6*n**2 + 3*n**2 + n**2)*(43 + 37 - 12). 136*n**2 Expand (10*f + 7*f - 6*f)*(-3*f**4 - f - f**4 - f). -44*f**5 - 22*f**2 Expand (13*i**2 - 4 + 4)*(-316 - 16*i + 316). -208*i**3 Expand (2*g - 3 + 3)*(-1564*g + 781 - 781). -3128*g**2 Expand (-2 + 1 + 2)*(-339*u - 195*u + 161*u). -373*u Expand (37*y - 86*y - 51*y - 93*y)*(57*y**2 - 61*y**2 - y - 3*y). 772*y**3 + 772*y**2 Expand (2*k + 0*k + 3 - 4*k)*(-7*k**2 + 2*k**2 - 10*k**2) + 0*k**3 + 0*k**3 + 4*k**3. 34*k**3 - 45*k**2 Expand (84 - 8*h - 84)*(-3*h**2 + 215*h - 215*h). 24*h**3 Expand (-s + 6 - 6)*(-263*s + 261*s + 563*s)*(-2*s**2 + 0*s**2 + s**2). 561*s**4 Expand (-4*o**3 + 4*o**3 + o**3)*(-1 + 2*o + 1) + o**4 - 4*o**4 + 0*o**4 + (-2*o**3 + 2*o**3 + o**3)*(o + 3*o - o). 2*o**4 Expand -2*c - 2 + 2 + (-11 + 0 - 1)*(2*c - 6*c + c). 34*c Expand -4*y**4 + 3*y**4 + 0*y**4 + (2*y**4 - 4*y**4 - 2*y**4)*(-7 + 22 + 2) - y + y + 3*y**4. -66*y**4 Expand (-3*o**3 + 3*o**3 - o**3)*(1 - 1 + 3)*(-9*o - 9*o + 53*o). -105*o**4 Expand (6 - 2 - 9)*(-48*h + 14 + 15 - 30). 240*h + 5 Expand (1139*g + 1098*g - 2421*g)*((0 + 0 - 1)*(-1 + 1 + g) + 4*g - 4*g - g). 368*g**2 Expand (25 - 13 + 2)*(-6 + 4 + 5)*(g + 7*g - g). 294*g Expand 3*q - 3*q + q**2 + (0*q + 2*q - 4*q)*(2*q - q + q) - 9*q + 0*q + 33*q - 2*q**2. -5*q**2 + 24*q Expand (0*k**2 + k**2 + k**2)*(0 + 0 + 2)*(-3*k + 4*k - 2*k) + (1632*k**3 - 1544*k**3 - 844*k**3)*(-4 - 2 + 4). 1508*k**3 Expand ((-3*u + 0*u + u)*(-5 + 5 + 2) + 4 - 4 + u - 1 + 2 - u + 2*u)*(0 + 0 - 4*u**2). 8*u**3 - 4*u**2 Expand (-3 - 3 + 7)*(61*t**2 - 1683 + 1683). 61*t**2 Expand (-2*c + 3*c - 2*c)*((-2 + 4 + 2)*(-2*c**3 + c**3 - c**3) + 2 + c**3 - 2) + 1371*c**3 + 75*c**4 - 1371*c**3. 82*c**4 Expand (j**2 - 7*j**2 - j**2)*(-3*j**3 - 8*j**3 + 0*j**3) + (-2*j**4 + 3*j**4 - 3*j**4)*(j + 2*j - j) + 3*j**5 + 0*j**5 - j**5. 75*j**5 Expand (2*a**2 + 3 - 3)*(0*a**2 - a**2 + 0*a**2)*(a + 3*a - 1 - 2*a) + (2*a**2 - 5*a**2 - 8*a**2)*(-3*a**3 + 0*a**3 - 3*a**3). 62*a**5 + 2*a**4 Expand (-1210 + 478 + 611)*(-s + 3*s + 0*s). -242*s Expand (3*k + 3*k**2 - 3*k)*(5*k - 25*k - 9*k)*(4 - 3 - 3). 174*k**3 Expand (-1 + 1 - 2)*(-253 - 7*b + 253) - b + 2*b + b + 2*b + 4*b - 4*b. 18*b Expand (-2*z + 4 - 4)*(0 + 7*z - 1 - 2)*(-10 - 18 + 63). -490*z**2 + 210*z Expand (-3325 - 2824 + 6610)*(-k**3 + k**3 - 2*k**5). -922*k**5 Expand (2 - 2 + i)*(-1 - 2 + 2)*(41*i**4 + 48*i**3 - 48*i**3). -41*i**5 Expand (52 - 52 - l**2)*(l + 8*l**3 - 6*l**3 - 9*l). -2*l**5 + 8*l**3 Expand (16 - 42 + 22)*(-2 + 4 - 3)*(5*x - 5 + 5). 20*x Expand (-3*v**2 + 0*v**2 + v**2)*(10*v**2 - 4*v**2 + 3*v**2) + 0*v**4 - 2*v**4 + v**4. -19*v**4 Expand -q**2 + 2*q**2 + 5*q**3 + 11*q**3 + (0*q + 0*q + q)*(5*q**2 - 2*q**2 + 8*q**2). 27*q**3 + q**2 Expand (4 - 3 + 0)*(-11*c**4 + 167*c**4 + 14*c**4) - 3*c**4 + c**4 + c**4. 169*c**4 Expand (0*g**2 + 2*g**2 - 3*g**2)*(-6*g**3 + 0*g**3 + 4*g**3) + 3*g**5 - 4*g**5 + 3*g**5 + 1122 + g**5 + 200*g**4 - 1122 - g**5 - 4 + 4. 4*g**5 + 200*g**4 Expand (-1 - 2 + 5)*(-4*u**4 + u**4 + 0*u**4) + u**4 - 5*u**4 + 2*u**4 + (4*u + 1 - 1)*(-173*u**3 + 387*u**3 - 148*u**3). 256*u**4 Expand -11*j**2 - 9 + j**2 + j**2 - 2*j**2 - j**2 + 4*j**2 + (-6*j + 4*j + 0*j)*(3*j - 6*j + 2*j). -6*j**2 - 9 Expand (3 - 3 + 1)*(4*v - v - 2*v) - 4*v - 2*v + 2*v + (0 + 1 + 1)*(3*v + 2*v - 3*v) + v - 3*v + 0*v. -v Expand (-2*g**2 + 0 + 0 + (-1 - 3 + 3)*(-g**2 + 0*g**2 + 2*g**2))*(-2 - 1 + 5 + 3 + 0 - 1 + (-1 - 1 + 0)*(5 - 4 + 0) + 2 + 4 - 2)*(-7 - 8 - 2). 306*g**2 Expand (1 + 7 - 4)*(-2 + 1 - 1)*(-1 + 1 - 3*t**4 +
{ "pile_set_name": "DM Mathematics" }
y c? 18 Suppose 189 = 13*z + 7. Calculate the remainder when 69 is divided by z. 13 Calculate the remainder when -2 + (-8)/(24/(-171)) is divided by 12. 7 Let y = 36 + -90. What is the remainder when 37 is divided by (-552)/y - 4/18? 7 Let f(t) = t**2 + 6*t + 18. What is the remainder when f(-9) is divided by 24? 21 Suppose 28 = 2*v - 0*v. Let q be ((-70)/(-6))/((-1)/3). Let t = q + 89. What is the remainder when t is divided by v? 12 Let a be (0 - -19) + -1 + 0. Let w be 4/a + 68/18. Suppose -3*o - 4*b + 64 = 0, w*b = -b + 5. Calculate the remainder when o is divided by 11. 9 Suppose 8 = 5*s - 17. What is the remainder when 7 is divided by s? 2 Suppose s + 5*w + 0 = 6, -4*s - 3*w = -24. What is the remainder when 15 is divided by s? 3 Let c(g) = g + 9 - 3 + 0*g + 1. What is the remainder when 22 is divided by c(5)? 10 Let c(k) = 2*k**2 - 5*k + 2. Let p = 10 + -6. Calculate the remainder when c(p) is divided by 8. 6 Let f(x) = 2*x**2 - 5*x + 4. Calculate the remainder when 30 is divided by f(3). 2 Let m(d) = -d**2. Let z(f) = 8*f**2 + 2*f - 3. Let u(t) = 4*m(t) + z(t). What is the remainder when -4*(49/(-4) - 0) is divided by u(2)? 15 Let a(n) = 2*n + 17. Calculate the remainder when a(0) is divided by 6. 5 Let f(h) = 6*h + 4. Suppose -a + 5*x = x + 20, 0 = 2*a - 5*x + 34. Calculate the remainder when f(5) is divided by (3 - 0)/((-3)/a). 10 Suppose 5*v - 4*t - 85 = 0, 4*t = -v - v + 6. What is the remainder when 21 is divided by v? 8 Calculate the remainder when 47 is divided by ((-54)/10)/(84/(-20) + 4). 20 Let w = 12 + -4. Let q(y) = 56*y - 2. Let i be q(2). Calculate the remainder when i/8 + (-1)/(-4) is divided by w. 6 Suppose -33 = -4*u + 7*u. What is the remainder when 51 is divided by (u - -30) + 2/(-2)? 15 Suppose 2*l - 4*l = -18. Calculate the remainder when 60 is divided by l. 6 Let r be ((-15)/6 + 3)*-24. Suppose -3*m + 5*p = -8*m + 145, 0 = 4*m - 2*p - 92. Let i = m - r. Calculate the remainder when i is divided by 13. 11 Let j = -4 + 14. Suppose l - j = -0*l. Let i(m) = 4*m**3 + m**2 + 2*m - 1. What is the remainder when i(2) is divided by l? 9 Let n(d) = d**2 - 5*d + 8. Let g be n(7). Let l = g - 6. What is the remainder when 31 is divided by l? 15 Suppose 142 = 14*h + 2. What is the remainder when 78 is divided by h? 8 Calculate the remainder when 24 is divided by ((-40)/(12/(-3)) - -3)/1. 11 Let h(y) = -y + 2. What is the remainder when h(-7) is divided by 5? 4 Suppose -3*f = 2*f. Suppose d + 1 = y, 6 + 19 = -5*d. Calculate the remainder when 12 is divided by (f + (-2)/y)*10. 2 Suppose -141 = -5*m + 2*m. Suppose 0 = -3*i + m + 55. Calculate the remainder when i is divided by 1/(0 - (-2)/36). 16 Let p(g) be the third derivative of -g**6/120 - g**5/12 + g**4/8 + g**3 + g**2. Calculate the remainder when p(-6) is divided by 1/2*4 - -11. 11 Let t = 26 + -18. Let r(z) be the third derivative of -z**6/120 + z**5/15 + z**4/24 + z**3/2 - 3*z**2. What is the remainder when r(3) is divided by t? 7 Suppose 4*r = -33 + 421. Let p = r - 46. Calculate the remainder when p is divided by 27. 24 Let n = -14 + 26. Suppose 0 = 5*h - 3 - n, 5*h - 119 = -4*o. Suppose -q - 7 = 3*t - 1, q - 5*t = o. Calculate the remainder when 11 is divided by q. 5 Suppose 2*y = -3*y - 10. Let r be ((-10)/y - 0) + 0. Let f = r - -8. What is the remainder when 37 is divided by f? 11 Let x = -34 + 45. Calculate the remainder when x is divided by 3. 2 Let k(z) = 6*z - 1. Let r(j) = -j**2 + 7*j - 3. Let h be r(5). Let x be k(h). Suppose 5*v + 1 = x. What is the remainder when 15 is divided by v? 7 Let l(p) = -p**3 - 5*p**2 + p + 4. Let r be l(-5). Suppose 0 = z + 2*z - 81. What is the remainder when z is divided by 13 - r*(0 + 1)? 13 Let z(a) = 3*a + 3. Let x be z(4). Suppose -5*g = x, -3*g = 3*s + s - 19. Suppose -r = -4 - s. What is the remainder when 31 is divided by r? 9 Let k(z) = -z + 2. Let s = -12 - -4. What is the remainder when 29 is divided by k(s)? 9 Suppose 0*w + 3*w - 132 = 0. What is the remainder when w is divided by 12? 8 Suppose p - 3*p = i - 4, -3*p = 3*i - 3. Suppose -3*g = -2*d + 10, 5*d + 1 = 3*g - 2*g. Let z = 6 + g. What is the remainder when p is divided by z? 1 Let m = 4 + 24. Calculate the remainder when m is divided by 5/(((-21)/(-9))/7). 13 Suppose 4*q - 3*q - 11 = 0. Calculate the remainder when 43 is divided by q. 10 Let z = -9 + -7. Let d(a) = -a**3 - 2*a**2 - 6*a - 1. Let o be d(-3). Let r = z + o. Calculate the remainder when 28 is divided by r. 8 Suppose 5*j - 143 = 5*v + 122, 5*j - 2*v = 271. Let t be (-2)/((-1)/6*3). Let a = t - -15. Calculate the remainder when j is divided by a. 17 Suppose 74*y - 456 = 71*y. Calculate the remainder when y is divided by 26. 22 Suppose 2*j + 1 = 31. Let q = j + -10. Suppose -5*p + 5 = -5. What is the remainder when q is divided by p? 1 Calculate the remainder when (14/(-4))/7*-36 is divided by 7. 4 Let f(d) = -d**2 - 7*d - 4. Let m be f(-6). Suppose -m = 2*p, -h - 3*p - p + 61 = 0. What is the remainder when h is divided by 22? 21 What is the remainder when 5 is divided by (5 - (-65)/(-15))/((-3)/(-18))? 1 Let c(m) = m**2 - 2*m. Let k be c(2). Suppose 4*n + y - 376 + 101 = k, 4*y - 272 = -4*n. What is the remainder when n is divided by 18? 15 Let c be (-1)/(-2 + 21/12). Suppose 2*n = 3*n + 3, -c*n = -o + 16. Calculate the remainder when 10 is divided by o. 2 Let g = -29 - -54. Calculate the remainder when g is divided by 13. 12 Suppose 23 = k + y, -30 - 43 = -3*k + y. Suppose 0 = 4*o - 2*o - k. Calculate the remainder when 46 is divided by o. 10 Let v(g) = -16*g + 2. What is the remainder when v(-2) is divided by 12? 10 Suppose 4*y = 7*y - 147. Calculate the remainder when y is divided by 13. 10 What is the remainder when 88 is divided by (6 + 9)*2/3? 8 Let g(r) = r**2 + 3*r + 9. What is the remainder when g(-9) is divided by 8? 7 Suppose 0 = -h - 2 + 7. Calculate the remainder when 17 is divided by h. 2 Suppose 2*x + 0*x - 2 = 0, 2*x = -3*z + 35. What is the remainder when (-24)/84 + (-284)/(-14) is divided by z? 9 Let j(a) = -2*a**2 + 4*a. Let o be j(-4). Let g = -21 - o. What is the remainder when g is divided by 7? 6 Calculate the remainder when (60/(-16))/(6/(-32)) is divided by 11. 9 Suppose 4*o = -o - 5. What is the remainder when 1/o*4 + 98 is divided by 24? 22 Let t(d) = d + 4. Calculate the remainder when 11 is divided by t(3). 4 Suppose -5*w = -0*w. What is the remainder when (-82)/(2/(-1)) - w is divided by 11? 8 Suppose -3*n = -v + 3, 3*v - 9 = -5*n + 2*n. Suppose 2*f - 3*t - 31 = 0, 0 = -n*f - 3*f - 4*t + 21. What is the remainder when f is divided by 6? 5 Let v(i) = -i**3 + 4*i**2 + 6*i + 6. Let j(s) = -s - 2. Let d be j(-3). Calculate the remainder when (d/(-3) + 0)*-93 is divided by v(5). 9 Let y(z) = z**3 + 5*z**2 - 6*z + 1. Let v be y(-5). Let o = -18 + v. Calculate the remainder when o is divided by 5. 3 Suppose -2*x - 36 = -4*x. What is the remainder when 88 is divided by x? 16 Let f(i) = 0*i**2 + 43 + i**2 - 12 + i. Calculate the remainder when f(0) is divided by 8*(-2)/(-6)*6. 15 Let w(n) = -n + 10. Let k be w(7). Suppose 4*s - 5*t = -2 - k, 3*t = -5*s + 40. Calculate the remainder when 12 is divided by s. 2 Suppose 38 = d - 21. Calculate the remainder when d is divided by 15. 14 Let i = 21 + -14. Suppose -2*u + 24 = -u. Let b = 44 - u. Calculate the remainder when b is divided by i. 6 Suppose 8*d = 1 + 207. Let v = -1 - -8. Calculate the remainder when d is divided by v. 5 Let f(c) = c**2 - 4*c - 7. Let b = -80 - -135. Calculate the remainder when b is divided by f(7). 13 Let m be 12/(-78) - (-56)/26. Let d be (-65)/(-10) + 1/m. Calculate the remainder when (-2)/d + 30/7 is divided by 3. 1 Suppose -9*t + 6*t + i + 135 = 0, -3*t - i = -135. Calculate the remainder when t is divided by 8. 5 Let a(u) = -15*u. Calculate the remainder when 88 is divided by a(-1). 13 Let w = -37 + 62. What is the remainder when 74 is divided by w? 24 Suppose 5*g = -2*o - 21, 44 = -5*o - 3*g - g. Let w(f) = -f**2 - 10*f + 1. Let h = 2 - -4. What is the remainder when w(o) is divided by h? 5 Let w(h) = -h**2 - 10*h - 7. Calculate the remainder when w(-6) is divided by 6. 5 Let v be (1 - 2/(-2)) + 40. Suppose 4*h + 48 = c - 27, 0 = -5*h - 20. Let i = c - v. Calculate the remainder when i is divide
{ "pile_set_name": "DM Mathematics" }
ative of 15809731*m**3 + 544*m**2 + 3665*m wrt m? 94858386 Find the third derivative of 208967408*w**3 - 371405046*w**2 wrt w. 1253804448 What is the first derivative of 323*u**2*w + 8304390*u**2 + 123932*u*w**3 + 3*u wrt w? 323*u**2 + 371796*u*w**2 Find the second derivative of 4364*u**4 + 11706*u**3 + 403215*u + 12. 52368*u**2 + 70236*u Differentiate -12948427*a + 947105 wrt a. -12948427 Find the first derivative of 197735*a**4 - 49*a**3 + 150396390 wrt a. 790940*a**3 - 147*a**2 What is the second derivative of -99490184*b**5*t**2 + 2*b**2*t**2 - 3*b*t**2 + 4903*b*t + 44*t**2 + 2*t - 11 wrt b? -1989803680*b**3*t**2 + 4*t**2 Find the second derivative of -1252950614*u**2 + 349*u - 469743. -2505901228 Find the second derivative of -423197265*p**2 - 183882752*p - 2. -846394530 Find the third derivative of 8543364*w**3 - 9174135*w**2 wrt w. 51260184 Find the third derivative of 18826110*f*r**3 - 1394*f*r**2 - f*r - f - 536*r wrt r. 112956660*f Differentiate 35787588*r*s**2*w - 7*r*s*w**3 + 4*s**2 + 43792*s*w**3 - w**3 + 38*w with respect to r. 35787588*s**2*w - 7*s*w**3 What is the second derivative of 33*h*i**3*q**2 - 5*h*i**2*q - 233357*h*q**2 - 172*i**3*q + 80*i**3 - i**2 - 23*q wrt q? 66*h*i**3 - 466714*h What is the second derivative of -176*q**2*v + 60252*q**2 - 977*q*v - 25*q + 4*v + 3 wrt q? -352*v + 120504 Find the second derivative of -158419*i**2*n**2 + 791*i**2*n - 4*i**2 - 4*i*n + 6*i + 130*n**5 + 2*n + 2 wrt n. -316838*i**2 + 2600*n**3 What is the third derivative of 171481*i**3*t**3 + 16*i**3*t**2 - 9*i**2*t - 2*i**2 - i + 2*t**3 + 12374 wrt i? 1028886*t**3 + 96*t**2 Find the third derivative of 38948645*j**5 - 2*j**2 + 17560*j + 284 wrt j. 2336918700*j**2 What is the third derivative of 393*f**4*t + 9*f**4 + 3944*f**3*t + 413*f**2*t - 2*f**2 - f + 5*t - 123 wrt f? 9432*f*t + 216*f + 23664*t What is the third derivative of -7*r*w**6 + 660845*r*w**3 + 3034*r*w**2 + 22*r*w wrt w? -840*r*w**3 + 3965070*r What is the derivative of 53698599*z - 33077491? 53698599 Find the second derivative of 41668781*n*r*z**2 + 5*n*r*z + 2*n*r + 2*n*z - 26*r - 282*z - 2 wrt z. 83337562*n*r Find the second derivative of 240637533*h**4 + 238120039*h. 2887650396*h**2 What is the second derivative of 44269*c*x**2 + 60857*c*x - c - 271*x**4 - x + 10 wrt x? 88538*c - 3252*x**2 Find the first derivative of -d**3 - 550*d**2 + 161178*d - 672435965. -3*d**2 - 1100*d + 161178 What is the third derivative of 9979*q**2*x**4 + 13028*q**2*x**3 + 162775625*q**2*x**2 wrt x? 239496*q**2*x + 78168*q**2 What is the derivative of -6225231*y - 11838401? -6225231 Find the second derivative of -18126898*y**2 - 29658591*y wrt y. -36253796 Differentiate -76706744*a**2*m**2 + 16281175*m**2 + 1 with respect to a. -153413488*a*m**2 What is the derivative of -n**2 - 2221345*n + 17463789? -2*n - 2221345 Find the second derivative of -41*a**2*j**3 + 6627*a**2*j*l**2 - 2*a**2*j + 33*a*j**3 + a*j**2*l + 5*a*j + 3*j**3*l**2 - 3*j**3 + 2*l wrt a. -82*j**3 + 13254*j*l**2 - 4*j What is the first derivative of 33329*g*l**3 - 14*g*l**2 - 2*l**3 + 2982*l**2 + 18*l - 1 wrt g? 33329*l**3 - 14*l**2 What is the second derivative of 133*p**4 - 63963*p**3*q**3 + 2144*p*q**3 + 3508*p*q**2 wrt p? 1596*p**2 - 383778*p*q**3 What is the third derivative of -34322151*j**4 + 443*j**2 + j - 3179? -823731624*j What is the third derivative of -282032452*m**3 + 3*m**2 - 6*m + 1028470 wrt m? -1692194712 Differentiate 144361*a*n*o**2 - 2*a*o**2 - 2*a*o + 2*a + 20*n*o**2 - 372*o**2 + 14*o + 18 wrt n. 144361*a*o**2 + 20*o**2 Find the third derivative of 2368*h**3*k**6 - 71*h**3*k**4 + 2*h**3*k**2 + h - 10820944*k**2 wrt k. 284160*h**3*k**3 - 1704*h**3*k Find the second derivative of -2*y**4 - 75755843*y**3 + 212116532*y wrt y. -24*y**2 - 454535058*y What is the second derivative of -2*x**4 - 11*x**3 - 378952*x**2 - 43224802*x? -24*x**2 - 66*x - 757904 Differentiate 56162790*k**3 + 3*k - 593683558. 168488370*k**2 + 3 Find the second derivative of 70*d**2*l**2*o - 11*d**2*l**2 + 2*d**2*l*o**2 - 181*d**2*o + 2*d*l*o - 71443884*l**2*o**2 - 2*l*o + l wrt o. 4*d**2*l - 142887768*l**2 Find the second derivative of -3437*b*u**2*w - 73*b*u*w*z**3 + 2*b*u*z**3 + 158*b*w*z**2 + 7*b*w + 2*u**2*z**3 + 1142*u**2*z + 11*u*w*z - 2*u*z wrt u. -6874*b*w + 4*z**3 + 2284*z Find the third derivative of 49281562*c*g*i**3 + c*i**3 + 411*c*i**2 - 3*c - 3*g*i + 201*g - 3*i**3 + 2*i**2 - 2*i wrt i. 295689372*c*g + 6*c - 18 What is the second derivative of 100*j**3 - 192463*j**2 - 97*j + 983340 wrt j? 600*j - 384926 What is the second derivative of 3*a**3*g - 13412*a**2*g - 11*a**2 - a*g - 4367*a - 78*g - 2 wrt a? 18*a*g - 26824*g - 22 What is the third derivative of -144432449*g*r**6 - 537*g*r**2 - 30*g - r**2 - 222*r wrt r? -17331893880*g*r**3 Differentiate 11351*a*z**3 + 6*a*z + 373*a + 58540009*z**3 wrt a. 11351*z**3 + 6*z + 373 Find the first derivative of -2720994*f**3 + f**2*k**2 - 2*f + 9399*k**2 - 243 wrt f. -8162982*f**2 + 2*f*k**2 - 2 What is the second derivative of -1161*g**2*t**2 - 12*g**2*t + 2*g**2 + 9*g*t**2 + 1768*t**2 - 202*t + 931 wrt t? -2322*g**2 + 18*g + 3536 What is the third derivative of 8289185*d**3 + d**2 + 23373 wrt d? 49735110 What is the third derivative of 38021542*y**5 + 793220*y**2 - 4*y wrt y? 2281292520*y**2 Find the third derivative of 36*f**2*i**3*p - 38722*f**2*i**3 + f**2*i + 3*f**2*p + 407*f*i**2*p - f*i + 55 wrt i. 216*f**2*p - 232332*f**2 Differentiate 2*d**3*r + 44845*d**3 + 483*d**2*r - 1257*d**2 + 1395*r with respect to r. 2*d**3 + 483*d**2 + 1395 What is the first derivative of -i**4*z - 602031*i**4 + 8596408*z wrt i? -4*i**3*z - 2408124*i**3 What is the second derivative of -299*b**5 + 7815*b**3 - b**2 + 1565315*b + 21 wrt b? -5980*b**3 + 46890*b - 2 Find the first derivative of 2953820*y**4 + y**2 - 80066553. 11815280*y**3 + 2*y What is the first derivative of 78*w*x + 917*w + 4402083*x - 57085 wrt x? 78*w + 4402083 Find the third derivative of 3449306*v**6 + 3*v**2 - 2*v - 246998. 413916720*v**3 Find the first derivative of 47677243*g**2*l**2 + 43370691*l**2 wrt g. 95354486*g*l**2 What is the third derivative of 143343*v**4 - 45*v**3 - v**2 - v - 1352030 wrt v? 3440232*v - 270 What is the second derivative of -736340*t**5 - 3*t**3 - 6672653*t wrt t? -14726800*t**3 - 18*t Find the second derivative of 6*c**2*u**2 - 406109*c**2*u + 21351*c*u**2 + 4*c*u - 7*u**2 - 2 wrt c. 12*u**2 - 812218*u Find the second derivative of 67287510*j**2 - 1269*j + 163778. 134575020 Find the third derivative of 621301672*c**5 + c**2 - 515694*c - 4 wrt c. 37278100320*c**2 Find the third derivative of -715576269*z**3 - 204164769*z**2. -4293457614 Find the second derivative of -88*l**2*x**3 - 12873*l**2*x**2 - 205*l*x**3 + 8*l*x wrt l. -176*x**3 - 25746*x**2 What is the derivative of 346214266*z**4 + 561677808? 1384857064*z**3 What is the third derivative of -3*z**6 - 614*z**5 + 891*z**3 - z**2 + 43*z + 4609? -360*z**3 - 36840*z**2 + 5346 Find the second derivative of -271*v**4 - 6151*v**2 - 7360117*v wrt v. -3252*v**2 - 12302 Find the third derivative of -3177728*a**5*u**2 + a**5 - 53*a**2*u**2 + 4805*a**2*u - u**2 wrt a. -190663680*a**2*u**2 + 60*a**2 What is the second derivative of -5*m**5 - 2068*m**3 - 5*m**2 - 1243*m + 1382 wrt m? -100*m**3 - 12408*m - 10 Find the first derivative of 9622820*s - 3912930 wrt s. 9622820 Find the second derivative of -182*g**4 - 8688*g**3 + g**2 + 211*g - 2542 wrt g. -2184*g**2 - 52128*g + 2 Find the third derivative of 119097680*s**2*u**3 - 83*s**2*u**2 + 356*s - u**2 - 193 wrt u. 714586080*s**2 Find the third derivative of 2*h**3*s + 9129057*h**3 + 19*h**2*s + 4*h*s + 46*h + 15*s + 3 wrt h. 12*s + 54774342 What is the second derivative of o**5 - 632*o**4 + 102*o**2 - 3122501*o - 1 wrt o? 20*o**3 - 7584*o**2 + 204 What is the third derivative of 177*a*r**3 - 659*a*r**2 + 582*r**3 + 890*r**2 - r - 2 wrt r? 1062*a + 3492 What is the third derivative of -30899839*r**5 - 413*r**2 - 35383? -1853990340*r**2 What is the third derivative of -7*d*l**3*w - 2*d*l**3 - d*l**2*w - 77*d*l**2 + 46*d*l*w + 6*d*w + 2978*l**3*w + l**2 + 1 wrt l? -42*d*w - 12*d + 17868*w Find the second derivative of -6410203*x**3 + 2*x**2 - 7592366*x wrt x. -38461218*x + 4 Differentiate 124750210*j**4 - 159
{ "pile_set_name": "DM Mathematics" }
replacement from {h: 3, u: 4, w: 3, r: 4, k: 2}. What is prob of sequence kh? 1/40 Calculate prob of sequence lxhx when four letters picked without replacement from {h: 2, n: 4, x: 2, m: 3, d: 1, l: 6}. 1/3060 Four letters picked without replacement from {k: 1, p: 10, d: 1, s: 1}. What is prob of sequence kpds? 1/1716 Four letters picked without replacement from {i: 2, f: 7}. Give prob of sequence ifff. 5/36 Two letters picked without replacement from {p: 1, v: 4, l: 1, o: 2, x: 4, h: 2}. What is prob of sequence xo? 4/91 What is prob of sequence aadd when four letters picked without replacement from {d: 9, a: 2}? 1/55 Calculate prob of sequence ylyy when four letters picked without replacement from ylyy. 1/4 Calculate prob of sequence cca when three letters picked without replacement from aaaggaggcggc. 1/165 Calculate prob of sequence pz when two letters picked without replacement from zzpzpppzzppzp. 7/26 Calculate prob of sequence zaa when three letters picked without replacement from azadj. 1/30 Two letters picked without replacement from ooyoooooooyoooooooo. Give prob of sequence oo. 136/171 Calculate prob of sequence kkk when three letters picked without replacement from {n: 9, k: 7}. 1/16 Four letters picked without replacement from {x: 3, i: 4, c: 4, y: 2, f: 3}. What is prob of sequence yxyx? 1/3640 What is prob of sequence dd when two letters picked without replacement from xdvxvdvxxdvvxvvddvdd? 21/190 Calculate prob of sequence yuuy when four letters picked without replacement from uuuuyuuuyyuuuu. 5/182 Four letters picked without replacement from {w: 4, v: 2, b: 2, q: 1}. What is prob of sequence wbqw? 1/126 Four letters picked without replacement from {d: 4, z: 2, a: 4, k: 2}. Give prob of sequence zkdk. 2/1485 What is prob of sequence ir when two letters picked without replacement from {w: 7, g: 3, i: 1, r: 4, y: 1, j: 4}? 1/95 Two letters picked without replacement from zzuuuuuuuuz. Give prob of sequence zu. 12/55 What is prob of sequence kikk when four letters picked without replacement from {i: 13, k: 3}? 1/560 Four letters picked without replacement from {a: 4, k: 1, b: 1, t: 2, n: 1}. Give prob of sequence ttba. 1/378 Four letters picked without replacement from {x: 9, a: 2}. Give prob of sequence axax. 1/55 What is prob of sequence vfkp when four letters picked without replacement from {v: 3, k: 8, f: 4, p: 2}? 2/595 Calculate prob of sequence em when two letters picked without replacement from {e: 1, v: 14, m: 2, w: 2}. 1/171 What is prob of sequence idqq when four letters picked without replacement from qduuquuuuuiuuuddiquu? 1/3230 What is prob of sequence effc when four letters picked without replacement from fcferifrfifrfrrfiirf? 7/14535 Two letters picked without replacement from {u: 5, r: 1, e: 3}. What is prob of sequence uu? 5/18 What is prob of sequence by when two letters picked without replacement from {o: 4, y: 5, b: 1, z: 3}? 5/156 What is prob of sequence av when two letters picked without replacement from {e: 1, v: 6, a: 10}? 15/68 Four letters picked without replacement from vtyatttvvaypuap. Give prob of sequence papv. 1/1820 Four letters picked without replacement from gvcvvpgvvrvc. What is prob of sequence ccgc? 0 Calculate prob of sequence kk when two letters picked without replacement from kkti. 1/6 Two letters picked without replacement from aazoaoaaoaaao. Give prob of sequence oz. 1/39 Calculate prob of sequence cyr when three letters picked without replacement from {c: 1, r: 1, y: 4, t: 2, o: 2}. 1/180 What is prob of sequence ns when two letters picked without replacement from nnanrnoasann? 1/22 Four letters picked without replacement from {f: 2, r: 1, g: 4, q: 1, u: 1}. What is prob of sequence grqu? 1/756 Two letters picked without replacement from {x: 1, g: 2, t: 1, v: 4, p: 3, d: 1}. What is prob of sequence vp? 1/11 Calculate prob of sequence ktt when three letters picked without replacement from {k: 3, t: 13}. 39/280 Three letters picked without replacement from {g: 1, p: 1, m: 1, s: 5, k: 2}. Give prob of sequence gsp. 1/144 Three letters picked without replacement from ooiooooaoijobooo. Give prob of sequence oia. 11/1680 Two letters picked without replacement from {z: 4, o: 1, k: 1, s: 2, h: 1, c: 3}. Give prob of sequence zh. 1/33 Three letters picked without replacement from aaanan. Give prob of sequence nna. 1/15 Calculate prob of sequence iiy when three letters picked without replacement from {y: 1, i: 2}. 1/3 Calculate prob of sequence vg when two letters picked without replacement from {g: 1, b: 1, m: 4, v: 2, j: 2}. 1/45 What is prob of sequence qr when two letters picked without replacement from ssqsssjsrsjsssrrjjss? 3/380 Three letters picked without replacement from {i: 3, r: 3, e: 2, s: 1, p: 1, m: 2}. Give prob of sequence rme. 1/110 What is prob of sequence sy when two letters picked without replacement from {y: 1, z: 6, u: 3, t: 1, m: 1, s: 1}? 1/156 Calculate prob of sequence ny when two letters picked without replacement from {n: 2, y: 6}. 3/14 Three letters picked without replacement from {p: 3, h: 2, u: 4}. Give prob of sequence huu. 1/21 What is prob of sequence tgmm when four letters picked without replacement from uttgmttmtttmqu? 1/572 Three letters picked without replacement from {g: 1, x: 2, o: 1, k: 5}. What is prob of sequence xog? 1/252 Four letters picked without replacement from jjjujjjju. Give prob of sequence jujj. 5/36 What is prob of sequence xzz when three letters picked without replacement from xzzzxzzxxxxxxxxx? 11/168 Three letters picked without replacement from {f: 8, p: 1, q: 8}. Give prob of sequence qfp. 4/255 What is prob of sequence kccc when four letters picked without replacement from {c: 1, k: 3}? 0 Four letters picked without replacement from cpjppppnp. What is prob of sequence ppnp? 5/126 What is prob of sequence yys when three letters picked without replacement from ssysssyysysyyy? 7/52 What is prob of sequence ssas when four letters picked without replacement from {s: 3, y: 1, a: 4}? 1/70 Two letters picked without replacement from mmxnxxxzxxxmxxmzxxx. What is prob of sequence xm? 8/57 Calculate prob of sequence hwwh when four letters picked without replacement from nnnwhhwhhwhnh. 3/286 Three letters picked without replacement from {e: 3, b: 3, n: 1, z: 4, k: 3, t: 2}. What is prob of sequence bnk? 3/1120 Calculate prob of sequence vvv when three letters picked without replacement from {o: 1, v: 4, w: 2, u: 8}. 4/455 Two letters picked without replacement from skssskkskskskskkkskk. Give prob of sequence ss. 18/95 What is prob of sequence uu when two letters picked without replacement from whhuvvh? 0 Two letters picked without replacement from yvyiyyyyivdyy. Give prob of sequence iv. 1/39 Two letters picked without replacement from {i: 3, z: 12}. Give prob of sequence iz. 6/35 Two letters picked without replacement from {z: 3, k: 1, e: 2, j: 6, n: 2}. What is prob of sequence jk? 3/91 What is prob of sequence qfi when three letters picked without replacement from zqzfqzfqfziffffz? 1/160 Two letters picked without replacement from tzczzzgdtzttiizgz. Give prob of sequence ct. 1/68 Three letters picked without replacement from mwmmmmmwmw. What is prob of sequence mmw? 7/40 Two letters picked without replacement from {m: 13, f: 6}. What is prob of sequence fm? 13/57 What is prob of sequence bzgb when four letters picked without replacement from bgzbbgqbgbgbbgbggg? 14/2295 Calculate prob of sequence eeux when four letters picked without replacement from ujemejeuejxe. 1/297 Calculate prob of sequence rrrs when four letters picked without replacement from rrrrrrrrrsrrrrr. 1/15 Four letters picked without replacement from ccgpgccpcpp. Give prob of sequence ppcc. 1/33 Three letters picked without replacement from jjjjnjjnjnjjnjjjnnj. Give prob of sequence jnj. 52/323 Two letters picked without replacement from bbfbfbbbb. What is prob of sequence bb? 7/12 Three letters picked without replacement from {f: 5, m: 2}. Give prob of sequence fmf. 4/21 Three letters picked without replacement from {q: 1, l: 2, f: 2, t: 4, p: 5, s: 1}. What is prob of sequence llp? 1/273 Calculate prob of sequence jp when two letters picked without replacement from {p: 5, e:
{ "pile_set_name": "DM Mathematics" }
p. Suppose -85 = -2*y + p. Is 22 a factor of y? False Suppose 0 = -28*l + 31*l - 264. Is 5 a factor of l? False Let k be (2*(-12)/(-20))/((-7)/105). Let f(z) = 37*z**3 - z**2 - z - 1. Let v be f(-1). Let i = k - v. Is 8 a factor of i? False Let h = -294 - -523. Does 21 divide h? False Suppose 2*c + 5*p - 240 = 0, 373 = 5*c + 4*p - 227. Suppose 0 = -20*s + 28*s - c. Is s a multiple of 3? True Let k be (1 - (-1)/(-2))*12. Let y = k + 27. Suppose -2*b = b - y. Is 7 a factor of b? False Let n(x) = x**2 + 4*x + 1. Let l(z) = z**2 - 5*z + 3. Let d be l(3). Let m be n(d). Does 15 divide -2*(0/m - 45)? True Let l = 6 + -12. Let f(x) = -20*x - 12. Let o(a) = 30*a + 18. Let q(s) = 8*f(s) + 5*o(s). Is q(l) a multiple of 13? False Suppose -2*m = -4*j + 3 - 31, 30 = 5*m - 2*j. Suppose -t = m*p - 33, -4*p + 2*t = -2*p - 24. Is 8 a factor of 174/p + (-3)/9? False Suppose 5*r + 971 = 11231. Is 38 a factor of r? True Is 39 a factor of (-132*4/(-28))/((-1)/(-7))? False Suppose 2*d + 1 = -a, 2 = -d + 3*a + 5. Suppose y - 6*y + 180 = d. Suppose -3*z - f = -38, -3*f - y = -z - 8*f. Does 8 divide z? False Suppose 4*j - z = 10, z = 2*j - 6*j + 6. Suppose 12 = j*s - 6. Is s a multiple of 9? True Let y = 44 - 24. Let z = -16 + y. Does 17 divide (34/(-4))/(z/(-24))? True Let x(u) = u**2 + 7*u + 11. Let f be (0/(-1) - 1)*6. Let p be x(f). Suppose 2*k + 16 = 4*k + p*h, -h = -2. Is k a multiple of 2? False Let s be ((-52)/(-12) + 1)*(-9)/(-3). Suppose -11*t - 90 = -s*t. Does 9 divide t? True Let k(i) = 70*i - 91. Does 9 divide k(7)? False Let y(m) = 78*m**2 + 14*m + 18. Let u(l) = -26*l**2 - 5*l - 6. Let k(d) = 11*u(d) + 4*y(d). Is k(-2) a multiple of 25? False Suppose 5*o = 4*w + 5 + 51, w + 14 = 5*o. Let j = w + 160. Let p = j + -82. Is p a multiple of 16? True Suppose 2 + 11 = 4*x + 5*b, 2*x = 4*b. Suppose -4*v + w + 336 = -w, v = -x*w + 84. Is v a multiple of 6? True Is 109 a factor of 3707 - ((-50)/10 - -6)? True Let w be -4*4/(-16) + 1122 - -4. Suppose 175 = -7*o + w. Does 17 divide o? True Let h = 28 + 30. Let c = h - 22. Is 9 a factor of c? True Let q(m) = 2*m**2 + 3*m - 38. Does 6 divide q(-12)? False Suppose 4*r + 3*y - 8*y - 2572 = 0, -2*y = 2*r - 1304. Is r a multiple of 18? True Suppose -165 = 3*n - g, -g - 254 = 5*n + 13. Suppose 0 = 2*t + 40 + 176. Let a = n - t. Does 14 divide a? False Let n = 1240 + -830. Is 19 a factor of n? False Let h = -72 + 76. Is 10 a factor of (2 + 40 - 3) + h? False Let d(y) = 2*y**2 - 37*y + 72. Is d(32) a multiple of 8? True Let c be 3956/(-10) - (-4)/(-10). Let d = 556 + c. Is (-9)/6*d/(-6) a multiple of 20? True Let h(r) = -2*r**3 + 2*r**2 - r. Let c be h(-2). Let v = c - -43. Does 18 divide v? False Suppose c - 16 = -3*c. Suppose c*y = -2*w + 28 - 10, -2*y + w = 1. Suppose -3*d = -y*d - 22. Does 11 divide d? True Suppose 0 = 5*w - 3*r - 585, 9*w - 215 = 7*w + 5*r. Is 23 a factor of w? False Suppose 1655 = 3*w - 3016. Is 99 a factor of w? False Let p be 48/10 + 9/45. Suppose p*c - 146 = 119. Is c a multiple of 45? False Let j(p) = -p - 9. Let r(b) = -b. Let y(k) = -j(k) - 2*r(k). Is 9 a factor of y(6)? True Suppose 0 = 3*k + l + l + 77, 3*k + l + 76 = 0. Let m = -14 - k. Suppose m = 4*r - 13. Does 2 divide r? True Let k(q) = 49*q + 168. Is 22 a factor of k(6)? True Suppose -12*f + 13*f - 2 = 0. Suppose -f*j - 2*c = -122, 94 = 2*j + c - 24. Is j a multiple of 17? False Let k = 34 - 16. Suppose -42 = -3*w + k. Does 13 divide w? False Suppose 4*v + u = -3*u + 44, 0 = 2*v + u - 17. Suppose v = p + 5. Suppose -2*g = s - 112, -p = -5*s - 11. Is 16 a factor of g? False Suppose -3*n - 138 = -6*n. Let u = 5 + 59. Let y = u - n. Does 18 divide y? True Suppose 4*t + 2*a = 1548, 3*t + 65*a = 69*a + 1161. Is t a multiple of 3? True Suppose -5*c + 3238 = 4*j, -9*j + 7*j = -c - 1626. Is j a multiple of 16? False Suppose -2049*a + 2058*a - 7884 = 0. Does 32 divide a? False Suppose 2*j = 4*p - 3*p - 201, 5*p + 3*j - 1005 = 0. Suppose -12*d + p + 2331 = 0. Does 13 divide d? False Suppose -13 + 8 = 5*a. Is (-14 - -13)*(a - 90) a multiple of 9? False Let x = 578 + -383. Suppose 0 = -3*i - 4*b + b + x, b = -2*i + 127. Is i a multiple of 32? False Suppose 5*p = 5*v - 6805, -1302 - 61 = -v + 3*p. Is 7 a factor of v? False Suppose -3*d = 2*g + 25 - 248, 0 = 3*g + 2*d - 347. Is 20 a factor of g? False Let x = 43 + -34. Let y = -1 + x. Is y a multiple of 3? False Let y be (-2 + 3)/(-2 - -1). Let x(h) = 314*h**2 + 1. Let z be x(y). Is 4 a factor of 6/(-10) - z/(-25)? True Let t(j) = -12*j**3 + 4*j**2 - j - 4. Let q be t(-3). Suppose -2*f = k - 2*k - q, 4*f - 725 = -5*k. Is 31 a factor of f? False Let a = 34 + 344. Is 54 a factor of a? True Suppose -3*o - 3*m - 218 - 3415 = 0, -3*o - 4*m - 3636 = 0. Is ((-2)/(-4))/((-4)/o) a multiple of 20? False Let i(l) = 15*l - 21. Let s be i(9). Let y = -49 + s. Is 13 a factor of y? True Let i(p) = 5*p**2 - 9*p + 2. Let s be i(-7). Suppose -5*z - 2*u = u - s, 2*z - 4*u - 124 = 0. Is z a multiple of 12? False Let c be ((-39)/26)/(6/376). Let o = -45 - c. Is o a multiple of 12? False Let q(o) = -3 + 3*o**3 - o**2 - 2*o**3 - 2*o**2 - 2*o**3. Let c be q(-3). Is 15 a factor of 3*((-245)/c)/5? False Suppose 3*b + 3*k = 4*k, 0 = 5*b - 2*k - 1. Let r(v) = -143*v**3 + v**2 - v - 1. Let s be r(b). Suppose -3*w = -5*w + s. Does 24 divide w? True Let a = -952 + 1402. Does 30 divide a? True Let s be 4 + 6/(-2) + 0. Let u be (-50)/40*(-3 - s). Suppose 3*p + 493 = 4*q, -1020 = -u*q - 2*p - 421. Is q a multiple of 33? False Let g = -11 - -15. Suppose -2*n - 8 = 2*n, -r + g*n + 12 = 0. Suppose -3*t = -r*t - 3*d + 15, -d + 33 = 5*t. Does 3 divide t? True Let w be 5/2*(10 - 8). Let t = -3 + w. Suppose -t*v + v = -38. Is 11 a factor of v? False Let l = 3 + -1. Suppose 4*j + 190 = l*r, -r = -j - 26 - 22. Let g = j + 72. Is g a multiple of 25? True Suppose -13 = -5*u + 17. Let d = 1 + u. Suppose 2*s + 4*t = 36, -4*s - d*t = -3*t - 68. Is 8 a factor of s? True Let u be (4 - 0)*(6 - 2 - -2). Let i(g) = g**2 - 9*g - 58. Does 31 divide i(u)? False Let j(i) = -i**2 - 8*i - 9. Let y be j(-6). Suppose -y*g + 2 = 2*d + 3, 0 = 2*d - 5*g - 23. Suppose 0 = d*p - 19 - 61. Is 4 a factor of p? True Let x(v) = 11 - 4*v**2 - 9 - 6*v**3 + 2*v**2. Does 21 divide x(-2)? True Is 11 a factor of -6*2/(-3) + -5 - -311? False Suppose 141 + 149 = 2*w. Let j = w + -109. Does 19 divide j? False Suppose 5*g + 8*u - 11*u - 6309 = 0, -g + 1257 = u. Does 18 divide g? True Let h(t) = t**3 + 18*t**2 - 20*t - 17. Let q be h(-19). Suppose -4*r + 60 = 3*i, -q*i - 3 = 5. Suppose r = -3*a + 4*a. Does 9 divide a? True Does 32 divide ((-135)/25)/(24/(-2560))? True Suppose -2*v - y + 4592 = 0, -6*v - 2287 = -7*v + 4*y. Does 5 divide v? True Let q(l) = -l + 2. Let y be q(0). Suppose 0 = -y*g + 276 + 30. Is 9 a factor of g? True Suppose 21 = u - 4*u. Let j = u + 10. Is 3 a factor of j? True Let n(s) = 6*s**2 + 0*s + 0*s**2 - 13*s + 5 - 7*s**2. Is n(-12) a multiple of 17? True Let d = 3338 + -1263. Does 25 divide d? True Suppose -35*d + 14594 = -6476. Does 86 divide d? True Let z(c) = c**2 - 4. Let q be z(2). Suppose 16*k - 432 - 160 = q. Does 18 divide k? False Let u(j) = 3*j + 12*j**2 - 28*j**2 + 2 + 14*j**2. Let l(r) = 4*r**2 - 5*r - 3. Let s(c) = -6*l(c) - 13*u(c). Is 12 a factor of s(8)? True Let y(q) = q**3 - 8*q**2 - 16*q - 7. Suppose -5*n + 7 = -0*p + 2*p, 0 = -2*n - 6. Does 30 divide y(p)? True Let d = 35 - 37. Is 208/36 + d/(-9) even? True Let h be 26/4 + 6/(-4). Suppose 0 = h*v - 11 - 19. Is 15 a factor of (100/(-6))/((-2)/v)? False Suppose -23 = -3*j + 1. Suppose q = j + 2. Is q a multiple of 5? True Suppose -n = -6*n + 25. Suppose 11 = -n*z + 41. Suppose z*j - 55 = j. Is j a multiple of 8? False Let i(m) = -m**3 - 33*m**2 + 28*m - 195. Does 51 divide i(-35)? True Let l(m) = -2*m**3 + 20*m**2 - 17*m - 11. Let d(k) = -k**3 + 10*k**2 - 9*k - 5. Let f(c) = 13*d(c) - 6*l(c). Is 11 a factor of f(6)? True Let a(q) = -q**3 + 6*q**2 + q + 1. Let k be a(6). Let v be k - (0 + 1)*2. Suppose -v*l = 0, -j + 5*l + 210 = 4*j. Is j a multiple of 24? False Suppose 55 + 17 = 4*i. Suppose i = -5*m + 88. Does 3 divide m? False Suppose 2*p = 4*y + 2, 6 - 3 = -p - 2*y. Let s(h) = -19*h + 5*h - 14*h. Does 7 divide s(p)? True Let p = -13 + 8. Let o(z) = -9*z + 15. Does 10 divide o(p)? Tru
{ "pile_set_name": "DM Mathematics" }
mine s(p(z)). 12*z**2 Let g(f) = 2*f - 2*f + 2*f**2. Let r(n) = -8*n**2 - 12 - 22*n**2 - 9. Let t(k) = 3*k**2 + 2. Let j(c) = 2*r(c) + 21*t(c). What is j(g(z))? 12*z**4 Let h(u) = 5*u. Let w(n) be the second derivative of -n**6/360 - n**4/2 - 4*n. Let k(r) be the third derivative of w(r). Calculate h(k(i)). -10*i Let k(m) = -13*m + 8*m + m. Let s(v) = -36*v**2. Give k(s(b)). 144*b**2 Let r(i) = 4*i - 17. Let y(h) = 54*h**2. Give r(y(j)). 216*j**2 - 17 Suppose 0*t + 4*t - 8 = 0. Let p(z) = 4*z**2 + t - 2 + 0. Let f(c) = -4*c. What is f(p(m))? -16*m**2 Let p(i) = -2*i. Let n(l) = 2895*l. Determine p(n(y)). -5790*y Suppose 6*i - 4*i = 2. Let v(r) be the first derivative of 0*r - 1/3*r**3 + i + 0*r**2. Let h(u) = 2*u**2. Calculate v(h(c)). -4*c**4 Let p(o) = 3*o. Let d(f) be the third derivative of -f**4/4 + 7*f**2 - 2*f. Calculate p(d(q)). -18*q Let x(p) = -5*p. Let o(g) = -10*g. Let k(h) = -3*o(h) + 7*x(h). Let r(w) = -w**2. Calculate k(r(b)). 5*b**2 Let d(z) = -19*z. Let n(x) = -9 - x**2 + 9. Give d(n(y)). 19*y**2 Let i(f) = -f. Let o(k) be the first derivative of -k**4/6 + 3*k + 2. Let m(t) be the first derivative of o(t). Determine m(i(x)). -2*x**2 Let j(l) be the second derivative of -l**3/6 + l. Let f(m) = -9*m. Calculate j(f(d)). 9*d Let a(b) = -23*b + 2*b + 11*b. Let s(f) = -6*f. Give a(s(d)). 60*d Let u(x) = 2*x. Let p(b) = 32439*b. Determine p(u(f)). 64878*f Let z(d) = 501*d - 247*d - 255*d. Let i(p) = -3*p - 3*p + 3*p. Give z(i(o)). 3*o Let l be (-6)/4*4/(-3). Let m(t) = -5*t**l + 4*t**2 + t**2 + t**2. Let f(y) = -y + 2*y - 3*y. What is f(m(b))? -2*b**2 Let c(d) = 2*d. Let r(f) be the third derivative of -f**5/60 + 5*f**2. What is r(c(i))? -4*i**2 Let k(w) = 7*w**2 - 11. Let g(p) = -31*p. Determine k(g(b)). 6727*b**2 - 11 Suppose 6 = 2*v + v. Let c(r) = -r**2 - v + 1 + 1. Let d(l) = -l. Calculate c(d(a)). -a**2 Let z(b) = 2*b**2. Suppose -2 = -2*k + 2. Let i(p) = p - 2*p**k - p - 2*p**2. Calculate z(i(x)). 32*x**4 Let o(s) be the second derivative of s**5/60 - 5*s**2/2 - 2*s. Let q(y) be the first derivative of o(y). Let l(x) = -x. Give l(q(a)). -a**2 Let h(q) = -2 + 4 + 3*q**2 - 2. Let t(c) be the first derivative of c**2/2 - 1. What is h(t(n))? 3*n**2 Let g(b) = -12*b. Let u(f) = -5*f. Give u(g(c)). 60*c Let x(g) be the third derivative of -g**8/10080 + g**5/30 + g**2. Let i(h) be the third derivative of x(h). Let f(w) = 2*w. Calculate f(i(n)). -4*n**2 Let r(n) be the second derivative of -n**6/360 - 5*n**3/6 - n. Let q(a) be the second derivative of r(a). Let h(w) = -w. Calculate h(q(t)). t**2 Let n(h) = h**2. Let o(u) be the third derivative of 0*u + 5*u**2 + 3/8*u**4 + 0 + 0*u**3. Calculate o(n(k)). 9*k**2 Let k(w) = -w. Let g be 19/6 + 14/(-84). Let t(n) = -2 + 2 - g*n**2 + 9*n**2. Determine k(t(f)). -6*f**2 Let w(g) = -2*g**2. Let i(u) = 13*u + 53. Calculate w(i(r)). -338*r**2 - 2756*r - 5618 Let q(o) = 456*o - 455*o + 0 + 0. Let j(x) be the third derivative of x**4/12 + x**2. Determine q(j(u)). 2*u Let k(v) = 2*v**2. Let r(n) = 3*n + 67. What is k(r(h))? 18*h**2 + 804*h + 8978 Let c = -8 + 11. Let n(k) = c*k**2 - 15 + 15. Let t(f) = f**2 + 0*f + 0*f. What is t(n(x))? 9*x**4 Let g = -3 + 5. Let n(y) = -4*y + 4*y + y**g. Let q(z) = -4*z. Give n(q(d)). 16*d**2 Let d(o) = 2*o - 6*o + 5*o. Let l(h) = 48*h**2. Calculate d(l(k)). 48*k**2 Let h(p) = -p. Let m(j) = -126*j. Calculate m(h(a)). 126*a Let y(n) = -6*n**2. Let o(f) = 11*f**2 + 5. Calculate y(o(u)). -726*u**4 - 660*u**2 - 150 Let l(w) = 7*w - 4. Let x = 30 + -9. Let s(z) = 36*z - 21. Let b(p) = x*l(p) - 4*s(p). Let g(h) = -3*h**2. Determine b(g(c)). -9*c**2 Let n(h) = -6*h**2. Let c(d) = 14*d - 64. Give n(c(p)). -1176*p**2 + 10752*p - 24576 Let g(c) = -7 + c**2 + 7. Suppose -5*x + 24 = 2*b + 4, 3*x - 2*b + 4 = 0. Let h(z) = 2*z**x - 6*z**2 + 5*z**2. Give h(g(m)). m**4 Let s(t) = 18*t**2. Let l(f) be the second derivative of -f**4/6 - 14*f. Give l(s(m)). -648*m**4 Let x(j) = -39*j**2. Let k(f) be the third derivative of -f**4/12 - 21*f**2. What is x(k(u))? -156*u**2 Let r(j) = j**2. Let n(u) be the third derivative of u**5/60 - 5*u**2. What is r(n(l))? l**4 Let k(q) = -5*q**2. Let j(i) = -i - 3. Let a(m) = 4*m + 14. Suppose -3*u + 5 = t + 4, 0 = -t + u - 19. Let w(h) = t*j(h) - 3*a(h). Determine w(k(r)). -10*r**2 Let d(h) = 9*h**2 + 4*h. Let y(g) = 0*g**2 + 5*g**2 - 4*g**2. Give d(y(z)). 9*z**4 + 4*z**2 Let i(c) = -207*c**2 - 23*c + 23. Let r(w) = 26*w**2 + 3*w - 3. Let l(s) = -3*i(s) - 23*r(s). Let h(j) = j. Determine h(l(o)). 23*o**2 Let m(b) = -20*b**2 + 5. Let w(f) = 9*f**2. Determine m(w(z)). -1620*z**4 + 5 Let s(z) = 436*z**2. Let g(v) = -3*v**2. Calculate g(s(t)). -570288*t**4 Let l(h) = 6*h. Let o(t) be the second derivative of t**4/4 + 21*t. Calculate l(o(u)). 18*u**2 Let z(v) = v. Let t be 20/(-90) + -3 + 47/9. Suppose p - 14 = -p - 5*m, 2 = -3*p + 4*m. Let s(q) = q**2 + 3*q**p - 3*q**2 + q**t. What is s(z(l))? 2*l**2 Let l(r) be the third derivative of r**4/8 - 3*r**2. Let a(o) = 2*o - 8. Let b be a(9). Let h(u) = 2*u**2 + b*u + 8*u - 18*u. What is h(l(z))? 18*z**2 Let o(u) = 2*u. Let s(k) = -k**2 + 7*k + 1. Let d be s(5). Let z(y) = d*y - 11*y - 4*y**2. Calculate o(z(a)). -8*a**2 Let c(n) = 109*n**2. Let k(f) = 2*f. Give k(c(m)). 218*m**2 Let z(u) = -u**2 + 6*u + 14. Let l(x) = x. Let t(g) = 6*l(g) - z(g). Let j(o) = -2*o**2. What is j(t(q))? -2*q**4 + 56*q**2 - 392 Let u(k) = 13*k**2 - 19*k**2 + 8*k**2. Let w(c) = 9*c. Calculate w(u(i)). 18*i**2 Let u(f) be the first derivative of -3*f**2/2 + 2. Let v(j) = -5*j + 4*j - 6*j + 5*j. What is u(v(x))? 6*x Let u(m) = 2*m**2. Let p(f) = f**2 - 713. What is p(u(v))? 4*v**4 - 713 Let l(o) be the third derivative of -5*o**4/12 + 39*o**2. Let j(i) = -2*i**2. Determine l(j(g)). 20*g**2 Let l(d) = 8*d**2 + 14*d. Let m(a) = 8*a**2. What is l(m(w))? 512*w**4 + 112*w**2 Let r(y) = -5*y. Let q(t) = 2*t. What is q(r(l))? -10*l Let j(y) be the first derivative of -3*y**3 - 13. Let b(k) = -k. Determine j(b(i)). -9*i**2 Let z(y) = y**2. Let w(o) = -1. Let v(r) be the second derivative of r**3/2 - 6*r**2 + 2*r. Let f(l) = v(l) - 12*w(l). Give z(f(j)). 9*j**2 Let y(r) = -2*r**2. Let u(m) = 184*m**2. Give y(u(a)). -67712*a**4 Let u(k) = 3*k**2. Let d(g) = 16*g + 34. Determine d(u(t)). 48*t**2 + 34 Let w(b) = -b. Let g(n) be the first derivative of -2/3*n**3 - 1 + 0*n + 0*n**2. Determine w(g(y)). 2*y**2 Let c(l) = -l. Let y(k) = -3*k. Let o(t) = -t**2 - 7*t - 7. Let g be o(-4). Let b(s) = g*y(s) - 18*c(s). Let x(u) = 2*u**2. Determine x(b(q)). 18*q**2 Let a(i) = -i**2 + 8*i + 12. Let b be a(9). Let p(o) = 7*o - 2*o**2 - 10*o + b*o. Let h(c) = 5*c. Give h(p(j)). -10*j**2 Let w(b) = -7*b + 8. Let a(s) = -4*s + 5. Let r(o) = 8*a(o) - 5*w(o). Let c(i) = -8*i. Let q(x) = 65*x. Let l(v) = 25*c(v) + 3*q(v). Give l(r(g)). -15*g Let o(i) = -2*i**2. Let d(r) be the first derivative of -r**3/3 - 9*r + 6. Let h(c) be the first derivative of d(c). Determine h(o(a)). 4*a**2 Let t(l) = 212*l + 2. Let s(y) = y**2. Give s(t(k)). 44944*k**2 + 848*k + 4 Let l(k) = -72*k. Let w(x) = -6*x. Determine l(w(g)). 432*g Let n(q) = -4*q**2. Let h(d) = -7*d - 34 + 14*d + 34. Give h(n(r)). -28*r**2 Let f(g) = -g**2 - g**2 + 3*g**2. Let p(v) = -5*v**2. What is p(f(m))? -5*m**4 Let s(b) be the first derivative of -2 + 2/3*b**3 + 0*b**2 + 0*b. Let j(k) = 3*k**2. Calculate s(j(l)). 18*l**4 Let x(l) = 2*l. Let y(p) be the first derivative of -2*p**5/15 - 5*p**2/2 + 4. Let t(u) be the second derivative of y(u). What is x(t(g))? -16*g**2 Let b(t) = 103*t. Let h(i) = -40*i. Determine h(b(c)). -4120*c Let i(h) = 21*h**2. Let x(p) = 9*p**2. Calculate x(i(d)). 3969*d**4 Let c(j) = -25*j. Let k(x) be the first derivative of -x**2/2 - 44. Calculate c(k(w)). 25*w Let v(c) = -4*c + 7. Let o = 39 - 25. Let a(s) = s - 2. Let f(k) = o*a(k) + 4*v(k). Let z(t) = 7*t**2. Calculate f(z(h)). -14*h**2 Let c(a) = 4*a**2. Let k(f) = 2058*f**2. Give c(k(v)). 16941456*v**4 Let g(h) = -h. Let z(l) = -2149*l. What is z(g(v))? 2149*v Let m = -15 + 17. Let b(d) = d**m + d**2 + 7 - 7. Let s(n) be the first derivative of 3*n**2/2 - 1. Determine b(s(v)). 18*v**2 Let d(q) = -q. Let z(o) = 211*o. Determine d(z(u)). -211*u Let h(z) be the second derivative of z**3/3 + 6*z. Let w(y) be the first deriva
{ "pile_set_name": "DM Mathematics" }
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{ "pile_set_name": "DM Mathematics" }
t -4*x**5 + 348*x**4 - 340*x**3 - 348*x**2 + 344*x = 0. -1, 0, 1, 86 Factor -3*w**3 - 126*w**2 - 864*w - 1632. -3*(w + 4)**2*(w + 34) Suppose -3*w**2 - 57*w + 450 = 0. What is w? -25, 6 Factor w**4/8 + w**3/4 + w**2/8. w**2*(w + 1)**2/8 Let 2*r**4/5 + 3528*r**3/5 + 1410*r**2 + 3524*r/5 = 0. Calculate r. -1762, -1, 0 Factor 2*q**2/17 + 80*q/17 + 78/17. 2*(q + 1)*(q + 39)/17 What is n in n**4 + 5*n**3 + 5*n**2 - 5*n - 6 = 0? -3, -2, -1, 1 Factor 2*f**2/17 - 7924*f/17 + 7848722/17. 2*(f - 1981)**2/17 Suppose -12*u**5 - 52*u**4 + 292*u**3 - 444*u**2 + 280*u - 64 = 0. Calculate u. -8, 2/3, 1 Solve -o**5/2 + o**3 - o/2 = 0. -1, 0, 1 Determine i, given that -i**4/6 + 7*i**3/3 + 17*i**2/6 - 5*i = 0. -2, 0, 1, 15 Solve -t**5/4 + 5*t**4/2 - 6*t**3 = 0 for t. 0, 4, 6 Factor -2*o**5/5 - 48*o**4/5 - 332*o**3/5 - 528*o**2/5 - 242*o/5. -2*o*(o + 1)**2*(o + 11)**2/5 Find i, given that 125*i**5 + 150*i**4 - 1180*i**3 + 840*i**2 - 160*i = 0. -4, 0, 2/5, 2 Determine g so that -85*g**5/6 - 107*g**4/3 - 59*g**3/2 - 26*g**2/3 - 2*g/3 = 0. -1, -2/5, -2/17, 0 Find n, given that 2*n**4/5 + 6*n**3/5 - 2*n**2/5 - 6*n/5 = 0. -3, -1, 0, 1 Factor -21*y**3 + 78*y**2 - 60*y - 24. -3*(y - 2)**2*(7*y + 2) Factor 3*q**4 - 6*q**3 - 12*q**2 + 24*q. 3*q*(q - 2)**2*(q + 2) Let -5*f**3 - 16990*f**2 - 14433005*f = 0. Calculate f. -1699, 0 Factor 2*n**3 + 118*n**2/3 + 74*n/3 - 38/3. 2*(n + 1)*(n + 19)*(3*n - 1)/3 Factor -i**2 + 48*i - 176. -(i - 44)*(i - 4) Find k such that -5*k**2 + 5600*k - 1568000 = 0. 560 What is m in -m**5/7 - 20*m**4/7 - 128*m**3/7 - 256*m**2/7 = 0? -8, -4, 0 Factor 4*n**3 + 3920*n**2 - 4*n - 3920. 4*(n - 1)*(n + 1)*(n + 980) Suppose 2*l**4 - 6*l**3 - 16*l**2 + 24*l + 32 = 0. What is l? -2, -1, 2, 4 Factor -26*o**4/5 + 74*o**3/5 + 12*o**2/5. -2*o**2*(o - 3)*(13*o + 2)/5 Factor a**2/5 + 124*a + 19220. (a + 310)**2/5 Factor 4*m**3 - 396*m**2 + 3272*m - 2880. 4*(m - 90)*(m - 8)*(m - 1) Suppose 273*i**4/4 - 543*i**3/8 - 3*i**2/8 = 0. What is i? -1/182, 0, 1 Find p, given that -12*p**3 + 208*p**2 + 1252*p - 440 = 0. -5, 1/3, 22 Solve 3*k**2/2 - 48*k + 234 = 0. 6, 26 Factor r**4/10 + 21*r**3/10 - 48*r**2/5 + 10*r. r*(r - 2)**2*(r + 25)/10 Determine a so that 6*a**4/11 - 142*a**3/11 - 364*a**2/11 - 8*a/11 + 208/11 = 0. -2, -1, 2/3, 26 Find h such that -6*h**2/5 + 3531*h/5 + 1767/5 = 0. -1/2, 589 Determine n so that 8*n**5/19 - 6*n**4/19 - 34*n**3/19 + 24*n**2/19 + 8*n/19 = 0. -2, -1/4, 0, 1, 2 Solve 20*z**2 - 1145*z - 870 = 0. -3/4, 58 Let 3*x**3/2 - 9*x**2 - 21*x/2 = 0. Calculate x. -1, 0, 7 Find o such that 45*o**2 + 595*o + 130 = 0. -13, -2/9 Factor -s**4/2 + 839*s**3/2 - 2511*s**2/2 + 2509*s/2 - 418. -(s - 836)*(s - 1)**3/2 Find p, given that -5*p**3/3 - 440*p**2 - 29900*p - 338000/3 = 0. -130, -4 Determine z so that 3*z**2 - 69*z - 2040 = 0. -17, 40 Let r**5/7 + 3*r**4/7 - r**3 - r**2 + 18*r/7 - 8/7 = 0. What is r? -4, -2, 1 Suppose 2*a**4 + 36*a**3 + 202*a**2 + 264*a - 504 = 0. Calculate a. -7, -6, 1 Find j, given that 2*j**4/9 - 2*j**3/3 - 10*j**2 - 154*j/9 - 8 = 0. -4, -1, 9 Determine m so that 3*m**5/7 + 18*m**4/7 + 6*m**3 + 48*m**2/7 + 27*m/7 + 6/7 = 0. -2, -1 Let -4*y**4 - 104*y**3 - 368*y**2 - 352*y = 0. What is y? -22, -2, 0 Let -j**4/9 + 10*j**3/9 - 8*j**2/3 - 10*j/9 + 25/9 = 0. Calculate j. -1, 1, 5 Factor i**3 - 21*i**2 - 16*i + 336. (i - 21)*(i - 4)*(i + 4) Factor 4*z**3/7 + 188*z**2/7 + 292*z + 924. 4*(z + 7)**2*(z + 33)/7 Solve 2*r**4/13 + 8*r**3/13 - 76*r**2/13 + 120*r/13 - 54/13 = 0 for r. -9, 1, 3 Let -24*s**5/5 - 1134*s**4/5 - 6402*s**3/5 - 10386*s**2/5 - 2214*s/5 = 0. What is s? -41, -3, -1/4, 0 Determine z, given that 14*z**4 + 36*z**3 - 32*z**2 - 36*z + 18 = 0. -3, -1, 3/7, 1 Determine j so that -4*j**3/7 - 300*j**2/7 - 4800*j/7 + 32000/7 = 0. -40, 5 Suppose 9*t**4/4 + 285*t**3/4 + 2829*t**2/4 + 8151*t/4 - 1521/2 = 0. What is t? -13, -6, 1/3 Find s, given that 1168128*s**4 + 1171872*s**3 + 3747*s**2 + 3*s = 0. -1, -1/624, 0 Find i such that -2*i**2/7 - 54*i/7 - 184/7 = 0. -23, -4 Solve -5*u**5 - 55*u**4 - 40*u**3 + 100*u**2 = 0 for u. -10, -2, 0, 1 Solve h**4/6 - h**3/2 - 5*h**2/6 + h/2 + 2/3 = 0 for h. -1, 1, 4 Factor 4*n**4/5 + 12*n**3/5 + 12*n**2/5 + 4*n/5. 4*n*(n + 1)**3/5 Let -p**4/4 - p**3/4 + 19*p**2/4 + 49*p/4 + 15/2 = 0. What is p? -3, -2, -1, 5 Suppose 2*w**3/23 - 12*w**2/23 + 10*w/23 = 0. What is w? 0, 1, 5 What is g in -g**2 + 28*g = 0? 0, 28 Let 4*f**4 - 36*f**3 + 68*f**2 + 36*f - 72 = 0. What is f? -1, 1, 3, 6 Factor -3*s**3 - 6*s**2 + 45*s. -3*s*(s - 3)*(s + 5) Determine s, given that 49*s**4/4 + 56*s**3 - 129*s**2/4 - 31*s - 5 = 0. -5, -2/7, 1 Factor -i**5/3 + 2*i**4/3 + 2*i**3 - 4*i**2/3 - 13*i/3 - 2. -(i - 3)*(i - 2)*(i + 1)**3/3 Find b, given that -3*b**4 - 42*b**3 + 48*b**2 + 42*b - 45 = 0. -15, -1, 1 Suppose -z**4/5 - 8*z**3/5 - 18*z**2/5 + 27/5 = 0. What is z? -3, 1 Suppose -5*p**4 + 45*p**3 - 105*p**2 + 95*p - 30 = 0. Calculate p. 1, 6 Let -r**4/5 + 13*r**3/5 + 3*r**2/5 - 37*r/5 - 26/5 = 0. What is r? -1, 2, 13 Factor 122*h**4/15 + 242*h**3/15 - 4*h**2/15. 2*h**2*(h + 2)*(61*h - 1)/15 Factor -1682*h**4/11 + 232*h**3 - 88*h**2. -2*h**2*(29*h - 22)**2/11 Let 4*u**5 + 126*u**4 + 804*u**3 - 3280*u**2 - 2856*u + 5202 = 0. What is u? -17, -3/2, 1, 3 Factor -4*s**4 + 116*s**3 + 792*s**2 + 1648*s + 1120. -4*(s - 35)*(s + 2)**3 Factor -11*f**3/8 - 14*f**2 - 119*f/8 - 9/4. -(f + 1)*(f + 9)*(11*f + 2)/8 Solve w**4/7 - 9*w**3/7 - 36*w**2/7 = 0 for w. -3, 0, 12 Factor -2*l**5/13 - 18*l**4/13 - 30*l**3/13 + 50*l**2/13. -2*l**2*(l - 1)*(l + 5)**2/13 Suppose 3*d**3 + 9*d**2 - 48*d + 36 = 0. What is d? -6, 1, 2 Solve g**3/7 - 78*g**2/7 + 1056*g/7 + 19360/7 = 0 for g. -10, 44 Factor -k**4/4 + 11*k**3/4 + 13*k**2/4 - 11*k/4 - 3. -(k - 12)*(k - 1)*(k + 1)**2/4 What is p in -546*p**5/5 + 128*p**4/5 + 4922*p**3/5 - 1152*p**2/5 - 72*p/5 = 0? -3, -2/39, 0, 2/7, 3 Factor -162*q**3 - 3420*q**2 + 3136*q - 704. -2*(q + 22)*(9*q - 4)**2 Let -723243*t**2 - 14730*t - 75 = 0. What is t? -5/491 Determine i, given that i**2 - 49*i = 0. 0, 49 Factor 2*l**4 + 32*l**3 + 130*l**2 + 100*l. 2*l*(l + 1)*(l + 5)*(l + 10) Let -2*v**4/5 + 8*v**3/5 - 6*v**2/5 = 0. Calculate v. 0, 1, 3 Solve 2*m**2/7 - 32*m/7 + 30/7 = 0. 1, 15 Let -2*k**5 - 74*k**4 - 838*k**3 - 2734*k**2 - 960*k + 4608 = 0. What is k? -16, -3, 1 Suppose -4*o**4 - 12*o**3 + 16*o**2 + 48*o = 0. What is o? -3, -2, 0, 2 Determine f so that -f**3 - 25*f**2 + f + 25 = 0. -25, -1, 1 Factor 7*m**4 + 39*m**3 - 340*m**2 - 2244*m - 1872. (m + 1)*(m + 6)**2*(7*m - 52) Determine d, given that 2*d**2 + 132*d = 0. -66, 0 Factor m**5 - 2*m**4 - m**3 + 2*m**2. m**2*(m - 2)*(m - 1)*(m + 1) Factor -2*n**3/5 - 1096*n**2/5 + 4408*n/5 - 4416/5. -2*(n - 2)**2*(n + 552)/5 Let -2*r**2/11 - 92*r/11 - 1008/11 = 0. Calculate r. -28, -18 Factor 2*q**3/3 + 20*q**2/3 + 46*q/3 + 28/3. 2*(q + 1)*(q + 2)*(q + 7)/3 Let -2*y**3 - 22*y**2 + 2*y + 22 = 0. What is y? -11, -1, 1 Solve -12*s**3/5 - 304*s**2 - 988*s/5 + 504 = 0 for s. -126, -5/3, 1 Suppose 6*c**2 - 140*c - 96 = 0. What is c? -2/3, 24 Solve -3*h**3/2 - 381*h**2/2 + 780*h - 786 = 0. -131, 2 Let -3*q**4 + 9*q**3 + 102*q**2 - 324*q + 216 = 0. Calculate q. -6, 1, 2, 6 Suppose g**5/6 - 8*g**4/3 + 2*g**3 + 25*g**2/3 - 77*g/6 + 5 = 0. Calculate g. -2, 1, 15 Factor 6*f**2/7 - 22*f/7 - 8/7. 2*(f - 4)*(3*f + 1)/7 Factor 2*t**3/7 - 6*t**2 + 78*t/7 - 38/7. 2*(t - 19)*(t - 1)**2/7 Factor 2*n**2 + 2644*n/11 + 480/11. 2*(n + 120)*(11*n + 2)/11 What is f in -f**5/5 - 8*f**4/5 - 4*f**3/5 + 26*f**2/5 + 37*f/5 + 14/5 = 0? -7, -1, 2 Determine a, given that -4*a**3 - 572*a**2 - 560*a + 1136 = 0. -142, -2, 1 Factor 4*k**2 + 72*k - 76. 4*(k - 1)*(k + 19) Solve -3*o**5/2 - 60*o**4 + 66*o**3 + 183*o**2 - 129*o/2 - 123 = 0. -41, -1, 1, 2 Factor -15*b**3 + 186*b**2 - 72*b. -3*b*(b - 12)*(5*b - 2) Let 5*p**3 - 620*p**2 + 14145*p + 333270 = 0. What is p? -14, 69 Factor -p**2/2 + 35*p/2 + 57. -(p - 38)*(p + 3)/2 Factor -n**4/5 + n**3 - 3*n**2/5 - n + 4/5. -(n - 4)*(n - 1)**2*(n + 1)/5 Factor 4*y**3/7 + 64*y**2/7 - 20*y + 72/7. 4*(y - 1)**2*(y + 18)/7 Solve -2*y**5/13 - 36*y**4/13 - 240*y**3/13 - 736*y**2/13 - 1056*y/13 - 576/13 = 0 for y. -6, -2 Solve -a**5 - 34*a**4 - 144*a**3 + 46*a**2 + 481*a - 348 = 0. -29, -4, -3, 1 Factor -2*j**5 + 1080*j**4 - 2154*j**3 + 1076*j**2. -2*j**2*(j - 538)*(j - 1)**
{ "pile_set_name": "DM Mathematics" }
and 376? 8 What is the highest common divisor of 6 and 143394? 6 What is the highest common factor of 33919 and 10379? 107 What is the greatest common divisor of 28522563 and 183? 183 What is the highest common divisor of 18 and 411360? 6 Calculate the greatest common factor of 607613 and 709. 709 What is the greatest common divisor of 5329 and 2336? 73 Calculate the highest common divisor of 300 and 80650. 50 What is the greatest common factor of 499510 and 950? 190 Calculate the greatest common factor of 36 and 52308. 36 What is the highest common divisor of 9245 and 170? 5 Calculate the highest common divisor of 50 and 109350. 50 What is the greatest common factor of 38912 and 128? 128 What is the highest common factor of 96 and 2488? 8 What is the greatest common divisor of 105 and 3192? 21 Calculate the greatest common factor of 172 and 196166. 86 What is the highest common divisor of 32111 and 394? 197 What is the highest common factor of 672 and 20748? 84 Calculate the greatest common divisor of 1352 and 344. 8 What is the highest common divisor of 4543 and 63? 7 Calculate the greatest common divisor of 4277 and 15275. 611 Calculate the greatest common divisor of 2782056 and 380. 76 What is the highest common factor of 134260 and 3425? 685 Calculate the greatest common divisor of 873965 and 235. 235 Calculate the highest common factor of 592 and 109816. 296 What is the greatest common divisor of 3 and 25824? 3 Calculate the greatest common divisor of 156 and 36894. 78 What is the greatest common divisor of 541902 and 185? 37 What is the highest common factor of 24382 and 105878? 334 What is the highest common divisor of 6026 and 64714? 262 What is the greatest common factor of 893925 and 50? 25 What is the highest common divisor of 2637460 and 28? 28 What is the greatest common divisor of 68 and 132532? 68 What is the highest common divisor of 254880 and 59? 59 What is the highest common factor of 8370 and 496? 62 What is the highest common factor of 498364 and 92? 92 Calculate the highest common divisor of 884 and 11804. 52 What is the greatest common divisor of 1120 and 2540? 20 Calculate the highest common divisor of 496 and 448. 16 What is the highest common divisor of 231278 and 1182? 394 What is the highest common divisor of 18 and 2101023? 9 Calculate the greatest common divisor of 32 and 73936. 16 Calculate the highest common divisor of 436522 and 202. 202 Calculate the greatest common factor of 185990 and 70. 70 Calculate the greatest common divisor of 8190 and 6720. 210 What is the greatest common factor of 2351 and 4? 1 Calculate the greatest common factor of 684 and 40052. 76 What is the highest common divisor of 476 and 406476? 28 What is the greatest common factor of 553 and 463651? 79 What is the greatest common factor of 9975 and 273? 21 Calculate the greatest common divisor of 428 and 15040. 4 What is the greatest common factor of 3332 and 9898? 98 What is the highest common divisor of 5881327 and 13735? 2747 What is the highest common factor of 845 and 505? 5 What is the highest common factor of 3920 and 1470? 490 Calculate the highest common divisor of 4272 and 1069424. 1424 What is the greatest common divisor of 1260 and 2537010? 630 Calculate the greatest common divisor of 810936 and 2520. 504 Calculate the highest common factor of 25609 and 8. 1 What is the greatest common factor of 6942 and 13494? 78 What is the highest common divisor of 88141 and 38? 19 What is the highest common divisor of 478289 and 129? 43 Calculate the highest common factor of 10438 and 69689. 307 What is the greatest common factor of 4472 and 650? 26 What is the highest common factor of 34620 and 120? 60 What is the greatest common divisor of 15007 and 86? 43 Calculate the greatest common factor of 252 and 3804. 12 Calculate the highest common divisor of 592216 and 8. 8 Calculate the greatest common factor of 177960 and 2820. 60 What is the greatest common factor of 10852 and 292? 4 Calculate the highest common divisor of 240 and 75160. 40 What is the greatest common factor of 960609 and 3? 3 What is the highest common divisor of 7629 and 3? 3 Calculate the greatest common divisor of 621216 and 192. 96 Calculate the greatest common factor of 242 and 454. 2 What is the greatest common divisor of 16448 and 9766? 514 Calculate the highest common divisor of 8425 and 13143. 337 Calculate the greatest common factor of 2300 and 175. 25 What is the highest common divisor of 1579327 and 647? 647 What is the greatest common divisor of 1243 and 8178940? 1243 Calculate the highest common factor of 275 and 268928. 11 What is the highest common divisor of 2565 and 19035? 135 What is the greatest common factor of 1020 and 65484? 204 What is the greatest common divisor of 1730 and 116429? 173 Calculate the greatest common factor of 1090 and 202304. 218 Calculate the greatest common factor of 1943 and 3973. 29 Calculate the highest common factor of 405 and 522612. 81 What is the greatest common factor of 77224 and 1568? 392 What is the highest common divisor of 2286 and 15494? 254 Calculate the highest common divisor of 151176 and 24. 24 Calculate the highest common divisor of 77736 and 30. 6 Calculate the greatest common divisor of 65661 and 129. 129 Calculate the greatest common factor of 223 and 91207. 223 Calculate the highest common divisor of 8143 and 85. 17 Calculate the highest common factor of 158 and 54115. 79 Calculate the highest common divisor of 120 and 663384. 24 Calculate the greatest common factor of 637908 and 424. 212 What is the highest common factor of 17066 and 14973? 161 Calculate the greatest common divisor of 293150 and 44. 22 What is the highest common divisor of 2 and 85010? 2 Calculate the greatest common divisor of 1917 and 5112. 639 What is the greatest common factor of 16750 and 167366? 134 What is the greatest common factor of 2506 and 644? 14 Calculate the highest common divisor of 198775 and 200. 25 Calculate the greatest common factor of 3835387 and 34. 17 Calculate the greatest common factor of 6693 and 8439. 291 What is the greatest common factor of 160 and 10718? 2 Calculate the greatest common factor of 24700 and 3575. 325 What is the greatest common factor of 24 and 9708? 12 What is the highest common divisor of 144 and 194704? 16 What is the greatest common factor of 608 and 122056? 152 What is the greatest common divisor of 146 and 319302? 146 What is the greatest common factor of 440 and 97768? 88 What is the highest common factor of 2038 and 2? 2 Calculate the greatest common divisor of 484 and 44396. 44 Calculate the greatest common factor of 1308 and 98796. 12 What is the greatest common divisor of 1360 and 317560? 680 Calculate the greatest common divisor of 110964 and 4116. 84 Calculate the greatest common divisor of 33061 and 7. 7 Calculate the greatest common divisor of 76 and 1250770. 38 Calculate the highest common factor of 167 and 61289. 167 What is the greatest common factor of 331 and 94004? 331 What is the greatest common factor of 160038 and 2601? 153 Calculate the greatest common divisor of 57 and 3100857. 57 What is the greatest common factor of 35070 and 3738? 42 Calculate the highest common factor of 36173 and 61. 61 Calculate the greatest common factor of 9 and 56649. 3 Calculate the greatest common divisor of 8 and 215224. 8 Calculate the greatest common factor of 6925 and 1925. 25 Calculate the greatest common factor of 21770 and 3710. 70 Calculate the greatest common factor of 1431 and 21. 3 What is the greatest common divisor of 17220 and 480? 60 What is the greatest common factor of 216349 and 217? 217 Calculate the greatest common divisor of 12573 and 396. 99 Calculate the highest common divisor of 7 and 3342332. 7 Calculate the highest common factor of 3266 and 5382. 46 Calculate the highest common factor of 1533 and 10052. 7 What is the highest common factor of 286 and 218933? 143 Calculate the greatest common divisor of 334 and 192551. 167 Calculate the greatest common factor of 207383 and 153. 17 Calculate the greatest common divisor of 664938 and 24. 6 Calculate the highest common factor of 1623432 and 4416. 552 Calculate the highest common divisor of 4750 and 3250. 250 What is th
{ "pile_set_name": "DM Mathematics" }
s greater: d or 0.3? 0.3 Suppose 0 = 2*t - 2*k + 4, -5*t - 2*k - 3*k - 10 = 0. Let p(g) = -g**2 + g + 1. Let s be p(t). Is -6 at least s? False Let u be 1 - (12/7 - 1). Suppose -3*g + 13 = 5*d, -3*g - 2 = -4*d + 3. Let w be (g/2)/(5/(-10)). Is u <= w? False Let s be (5/((-50)/24))/((-9)/(-30)). Suppose -z + 5*i + 17 = -0*z, -z - 3*i - 23 = 0. Let n = s - z. Which is smaller: -2/17 or n? -2/17 Suppose -5*s - 3*d = d + 33, -d - 7 = s. Let t = 4 + -7. Is t equal to s? False Let i = -1/12 + 5/12. Let n = i - 0. Which is greater: 0 or n? n Suppose -3*f - 75 = -6*v + v, -5*v - 4*f + 110 = 0. Suppose 2*y - 74 = v. Let w be y/(-42) - 4/(-6). Which is smaller: 0.1 or w? w Let s = -19 + 21. Is s at least 3? False Suppose -3*t = -3*v - 18, t - 2 = -0*t. Are 2 and v nonequal? True Let x be (-3 + 72/21)*10/(-75). Is x != -1? True Let f = 7 + -7. Is f equal to -2/45? False Let n(b) = b + 5. Let p be n(-5). Is 3/5 at most p? False Let f be ((-1)/9)/(1/(-3)). Let b(j) be the first derivative of j**4/4 - j**3/3 + j + 2. Let d be b(0). Which is bigger: f or d? d Let r = 22 - 21. Does -2/41 = r? False Let j be (4/6)/(9/(-27)). Which is greater: -1 or j? -1 Suppose y + 4*u + 0 = 3, y + 2 = u. Suppose v + 3*t = 18, 5*v = -t + 4*t. Let h be 1 + (1 - v/3). Is h less than y? False Let c(g) = g**2 + 9*g - 4. Let o be c(-9). Let h be (-2)/o*(-30)/(-3). Is 6 smaller than h? False Suppose 3*r + 2*p - 16 = 0, 2*r + 17 = -2*r + 5*p. Suppose -r*k - a - 7 = -3, 2*a = -4. Do 1/9 and k have the same value? False Let o = 3 - 3.2. Let b = -2.9 - -3. Are o and b non-equal? True Suppose 2*l = -j - 5, -4 + 3 = l + j. Let w be 3 + -9*(-1)/l. Is 1 less than or equal to w? False Let n(j) = j**2 - 6*j + 1. Let g be n(6). Suppose d = 2*u - 1, 2*u + 4*d - 4 = 2. Let i be (1 - -2)*g/u. Is 3 equal to i? True Let a = -1 + 3. Suppose -8 = -4*s, 6*m + 22 = 4*m - 3*s. Let n be 1/m*(-15 + 3). Is a greater than n? True Let w be (8 + -2*1)/2. Let n(v) = -v + 4. Let c be n(w). Suppose 5*u = 6*u. Which is smaller: c or u? u Suppose 11 = 2*b + 3. Let t be 1 - 3 - (-9)/b. Is t != -1? True Suppose 2*f + 3 = 7. Let b be f/(-3) - (-2)/21. Is b at least as big as -2? True Let h be 1*12/(-1)*7/(-14). Which is greater: 7 or h? 7 Let m = -1153 + 95703/83. Are m and 1 non-equal? True Let m = 592/33 + -18. Is m < 1? True Suppose 3*k + 3 = -0*k. Let j be ((-12)/15)/((-2)/(-10)). Let b be j/(-18) - (-2)/(-90). Which is smaller: k or b? k Let b be -2*(15/9)/(-5). Let u = 6.6 - 1.6. Are b and u equal? False Let i = -4189 + 7183. Let p = i - 92826/31. Let d = p - -170/279. Which is smaller: -1 or d? -1 Let n(f) = 9 + f**2 - 3*f + f**2 - 3*f**2. Let t be n(-4). Which is bigger: 19/4 or t? t Let l(k) be the second derivative of k**3/6 - k**2/2 - k. Let q be l(0). Let i be 0 + ((-9)/(-12))/3. Which is greater: q or i? i Suppose -v = 2*o + 59, -2*o + 206 = -4*v - 50. Let g be ((-2)/14)/(108/v). Is g at most as big as -1? False Let o = 4 - 15. Let m = 12 + o. Is -1 at least m? False Let i be (-278)/12 + (-2)/12. Let p = 24 + i. Which is smaller: p or 0? 0 Let s = -0.371 + -0.029. Is s less than or equal to -6? False Let w = -6 + 5.91. Let v = 4.91 - w. Which is greater: -0.1 or v? v Let x = -170 + 169.8. Are 1/6 and x equal? False Let y(g) be the third derivative of -g**6/60 - g**5/30 - g**4/8 - g**3/6 - g**2. Let h be y(-2). Is 12 <= h? True Suppose -3*h + 4*h = 1. Let j be h - (34/8 - 3). Which is smaller: j or -1? -1 Let z(n) = n**2 - 4*n. Let v be z(3). Is -3 at most as big as v? True Let s = 226542168/451 - 502311. Let b be (2/164)/((-2)/(-4)). Let o = s + b. Are o and -1/4 equal? False Let c = -8 + 8.1. Let k = 0.1 - 0.2. Let a = 0 - k. Is c equal to a? True Let g be (-2)/(-3)*(-3 - 9). Let k be g/(-20) - (-32)/(-5). Let r = 7 + k. Are r and 0 non-equal? True Let q = -12 - -8. Which is greater: -3 or q? -3 Let z = -60 - -1378/23. Which is smaller: z or -1? -1 Let u be 12/(-9) - 4/(-6). Is u <= 0? True Let z(d) = -1 - d - 3*d + 8 - d**2. Let u be z(-6). Suppose -24 = 4*y - i, -y + i - 6*i = -15. Is u at most y? True Let y = 22 + -22. Suppose y = -2*m - m. Which is bigger: -3/4 or m? m Let r = 9 + 1. Let u = -9.6 + r. Is -1 greater than u? False Let h = -16 - -35. Do 19 and h have different values? False Let r be 9 + 1 + (-6)/(-3). Suppose 0 = -0*f + 3*f - r. Which is bigger: f or 5? 5 Suppose 0 = -y - 4*m + 13, -2*y = y - m. Let a(q) = -2*q. Let v be a(y). Is v at most -4? False Let m = 1 + -2. Suppose -124 = 4*g - 0*g. Let f = g + 125/4. Is f at most m? False Let p = -7 - -7. Let b be p/(-6) + (-3 - -1). Let n be (-1 - 1 - b)/2. Which is bigger: 1/13 or n? 1/13 Let n be -1 + 2 + 0 + -1. Let c(w) = -w**3 - 11*w**2 - 11*w - 8. Let u be c(-10). Suppose 0 = -3*b - u*b - 15. Which is smaller: b or n? b Let u(r) = r**2 + 9*r + 10. Let w be u(-8). Which is bigger: 9/8 or w? w Let m(v) = -v**2 - 5*v + 3. Let u be m(-5). Is u < 3? False Let b(h) = 5*h + 36. Let t be b(-7). Let l = 472 - 8970/19. Is l greater than or equal to t? False Let j(g) = g**3 - g**2 + g - 1. Let d = -2 + 2. Suppose m + m = d. Let t be j(m). Which is smaller: t or 3/8? t Let g be 2/8 + -1 + 1. Which is greater: 2/9 or g? g Suppose u - i = 3*i - 20, 0 = 5*u - 4*i + 20. Which is smaller: -5/9 or u? -5/9 Let z = 0 + -3. Let t = z - -5. Suppose -t*n = -n. Are 1/3 and n nonequal? True Let l = -56 + 55.9. Let h be (2 - -1)/(-3) + 5. Let i be (-32)/20*(-1)/h. Is l bigger than i? False Suppose -4*v + 77 = -43. Is v > 32? False Let y be ((-4)/5)/((-6)/120). Let s = y + -16. Let x be 1 - 0 - (1 + 0). Is x at least as big as s? True Let j(w) = 4*w**2 - w - 1. Let z be j(-1). Let s(o) = o**2 - 4*o + 3. Let a be s(4). Which is smaller: a or z? a Suppose 4*m - 46 = -2*i - 0*i, -2*i = 2*m - 26. Suppose -7 - 18 = -5*j. Suppose m = j*f - 0. Does f = 1? False Let k be 4 - (3 + -7 + 1). Which is smaller: k or 10? k Suppose 3*s = -304 + 40. Is s greater than or equal to -87? False Let i be 1/(-3) - (-10)/30. Suppose -3 + 0 = 5*m + r, i = -5*m + 4*r + 12. Is 1 less than m? False Let z = 16 + -17. Is 3/20 <= z? False Let q be (3 + -70)*(-3)/3. Is q not equal to 67? False Suppose 3*v + 63 = -36. Is v greater than -32? False Let o = -0.1 + 0.3. Let w = 3.5 + -3.1. Let f = w - o. Is 3/2 less than or equal to f? False Let j = -41 + 40. Let q = -175/4 - -1209/28. Let n = q + 1/14. Does j = n? False Let h = 99.9 - 100. Which is bigger: h or -4.5? h Let m = 3.45 + -0.45. Which is smaller: -0.05 or m? -0.05 Suppose 0 = 4*b - 2*b. Suppose b = -2*y + 1 + 1. Let w(o) = -o - 3. Let z be w(-5). Is y equal to z? False Let y(d) = -2*d + 3 + 4 + 3*d. Let x be y(-4). Let h = 3 - 0. Do x and h have different values? False Let r = 26826137/23 - 1167461. Let v = -295549/207 - r. Let j = v - -321. Which is smaller: -1 or j? -1 Let c = 79/18 - 17/9. Are 3 and c unequal? True Let g be (-21)/(-28) + (-535)/4. Which is smaller: g or -134? -134 Let r = 15 + 59. Let i be r/(-90) + 2/9. Does -1 = i? False Suppose 0*t + 2*o + 1 = -3*t, 25 = -5*o. Let c be t/(3/(-6)*3). Let v be (1 - 9/8)*c. Which is smaller: 0.2 or v? 0.2 Suppose 16 = 4*o, 23 = -2*f + f - o. Let r be 112/(-18) - 6/f. Which is smaller: r or 2/7? r Let x = 18 + -11. Let i = x + -5. Let n = -5 + i. Which is greater: n or -2? -2 Let i be (-2)/(-5) + (-224)/10. Let u be 24/(-11) + (-4)/i. Which is bigger: 0 or u? 0 Let z be (-5)/(-2) - (-2)/(-4). Let p be (z/(-4))/(3/(-6)). Which is smaller: p or 2? p Let t be 196/4*(3 - 0). Let w = -12 + t. Let h = -1486/11 + w. Which is smaller: h or 0? h Let d(q) = -q + 3. Let v be d(0). Suppose -v - 2 = 5*a - 5*l, 5*l - 5 = -5*a. Which is smaller: a or -3/4? -3/4 Let p(y) = y**2 - 7*y. Suppose 3*j - 11 - 6 = -2*h, 3*j - 4*h - 29 = 0. Let x be p(j). Let k = 1 - 2. Is k > x? False Let k = -88 - -88.6. Let a = -2 + 2.1. Is k less than or equal to a? False Suppose -7*s - 22 - 6 = 0. Is s greater than 2? False Let m = -15/16 + 137/112. Is m at least 3? False Let m = -2 - -1.9. Let o(s) = 55*s + 2. Let r be o(5). Let d = 2213/8 - r. Which is smaller: m or d? d Let k be (3/(-24))/((-4)/24). Let z = -65/76 + k. Are 0 and z equal? False Let a = 8 - 6. Which is smaller: a or -2? -2 Let s be -4*1/(-6)*3. Suppose 0 = -k - 4*b - 8, -2*b = -3*k - 2 - 8. Let x be k*9/(-12) - 2. Are s and x nonequal? True Let m
{ "pile_set_name": "DM Mathematics" }
/(-2 - -6). Let k = -7/3 + b. Put k, 0.1, 2 in descending order. 2, 0.1, k Suppose 0*k + 3*k = 12. Suppose x = 4*t - 0*t + 7, -k*x + 5*t = -6. Suppose -5*h = -2*h. Put x, h, 4 in decreasing order. 4, h, x Let r = 0 + -0.05. Let d = 0.05 + r. Sort d, 1, 0.5. d, 0.5, 1 Let k be (-2)/7 + 111/21. Suppose -i + 46 = -5*r, 2*r + 50 = -r - k*i. Let n = r + 6. Put -5, n, -1 in decreasing order. -1, n, -5 Let s = 9 - 4. Suppose 0 = s*p - 6 - 4. Put 3, -5, p in decreasing order. 3, p, -5 Let k be 0*4/((-12)/3). Sort 1, -2, k. -2, k, 1 Let h be (1/(-3))/(2/42). Let n = h + 9. Let w be (n/2)/(2/(-10)). Sort w, -3, 2 in descending order. 2, -3, w Let j(c) be the first derivative of -4/3*c**3 - 2 - 7/2*c**2 + 1/4*c**4 + 7*c. Let k be j(5). Sort 4, k, -5 in descending order. 4, k, -5 Let f = 32/15 + -14/5. Let t = -5 - -9. Let h = t - 4.2. Sort h, 2/9, f. f, h, 2/9 Let o = 1.6 + 2.4. Put o, 2/11, -0.4 in descending order. o, 2/11, -0.4 Let b = -1/55 + -2/11. Put b, 3, -10 in ascending order. -10, b, 3 Let w = -0.2 + 0.3. Let y = w - -4.9. Let p = 3 + -2.8. Sort 1/4, y, p. p, 1/4, y Let t = 0.19 - -4.81. Put 0.1, -1/11, t in increasing order. -1/11, 0.1, t Let k = -4802/15 - -320. Sort 3, 4, k in decreasing order. 4, 3, k Let z(j) = j**3 + 4*j**2 - 6*j - 7. Let b be z(-5). Suppose 3*q - 35 = 4*p, 0 = -p + 3*p + 2*q. Put p, b, 5 in ascending order. p, b, 5 Suppose -3*v = -6*v - 138. Let a = 232/5 + v. Let s = -1/37 - -45/296. Put s, -3, a in ascending order. -3, s, a Suppose 0 = 2*h - j + 2*j, 2*j = -h - 3. Let b(z) = z**3 + 6*z**2 - 5. Let x = 6 - 12. Let t be b(x). Put h, t, -4 in decreasing order. h, -4, t Let w = 0.14 - -1.86. Sort w, -0.3, 3/7. -0.3, 3/7, w Let p = 201.82 + -199. Let u = -0.18 - p. Let v = -0.9 + -0.1. Sort v, 5, u in descending order. 5, v, u Let n = 265 + -267. Let i = -0.1 - 0.1. Sort n, i, 2/3. n, i, 2/3 Let p = 9 + -5. Suppose -i = 1, u - 20 = -p*u + 5*i. Let a be (9/12)/((-15)/(-40)). Sort u, -2, a in descending order. u, a, -2 Let j = -1.92 - -1.42. Sort 2/7, 83, j. j, 2/7, 83 Let f = -0.08 - -0.08. Let l be ((-1 + 5)*-1)/(-2). Sort -0.2, l, f in descending order. l, f, -0.2 Let h be (4 + -8)*(-6)/(-4). Let r = h - -5. Put 0.2, -2, r in descending order. 0.2, r, -2 Let d be (-2)/6*(-21)/(-14). Put 0.3, d, 2 in ascending order. d, 0.3, 2 Let w = 7.1 + -7. Let p = 1.4 - 8.4. Let n = p - -6.7. Sort w, n, 2 in increasing order. n, w, 2 Suppose 3*s + 3*s + 6 = 0. Put s, 2, 3 in decreasing order. 3, 2, s Let v be 5 + (-40)/4 + 2. Sort -2/3, -4, 5, v in decreasing order. 5, -2/3, v, -4 Suppose q = 2*d - 2*q + 3, 4*d + 2 = 2*q. Sort d, -12, 3 in descending order. 3, d, -12 Let h = 4.1 - 0.1. Let c = 1 - 4. Let k = c - -5. Sort h, 3, k in ascending order. k, 3, h Let w be (-8)/10 - (-140)/100. Let q = -3.4 - -3. Sort w, q, -2 in decreasing order. w, q, -2 Let j = 4.684 + 0.016. Let m = -0.7 + j. Sort m, -6, 1/4 in ascending order. -6, 1/4, m Let c(f) = -2*f + 54. Let r be c(16). Let j = 17 + -6. Let y be 2/j + (-70)/r. Sort -4, y, -5 in descending order. y, -4, -5 Let w(d) = -d**2 + 9*d - 6. Let b be w(8). Sort -3, 4, -2, b in ascending order. -3, -2, b, 4 Let d = 7 + -2. Suppose -3*x + 3 = -s - 4*x, 0 = s - x - 5. Suppose 2*b = -9 - s. Put 2, b, d in decreasing order. d, 2, b Let l(a) = a - 9. Let o be l(6). Put o, 1, 4 in descending order. 4, 1, o Let y be -3 + (-1)/(-1) - 1. Sort y, 4, -1, -4 in decreasing order. 4, -1, y, -4 Let b = -16 + 18. Sort b, -1, 0.4 in descending order. b, 0.4, -1 Suppose 2*p - 25 = 2*m + 7*p, 3*m = 4*p - 3. Sort -3, -2, m in ascending order. m, -3, -2 Let b = -0.07 + -0.03. Suppose -2*y + 2 = -0. Sort b, 2/15, y in descending order. y, 2/15, b Let d = 12 - 10. Sort -5, d, 2/3. -5, 2/3, d Let y = -3 - -5. Let a = -14.8 + 15.2. Sort a, 0.1, y in increasing order. 0.1, a, y Let p = -20 - -23. Sort -5, -4, p. -5, -4, p Let h be -1 - (-5)/(-2 + 3). Put h, -6, 1 in ascending order. -6, 1, h Let m = -3 + 3.2. Let i = m - 0.4. Let u = -0.129 + -0.171. Put i, u, -0.1 in decreasing order. -0.1, i, u Suppose -6*b + 2*b + h = 36, 5*b - 4*h = -45. Sort 1, -3, b. b, -3, 1 Suppose 4 = -4*z + 2*z. Let d = 0.2 + -0.2. Let i = d + -0.5. Put 2, z, i in decreasing order. 2, i, z Let w = -16 - -12. Put 0.4, -13, w in descending order. 0.4, w, -13 Let s = 0.02 - 0.08. Let y = s + -2.94. Let a = -3 + 3.1. Put a, 3, y in ascending order. y, a, 3 Let p = -6.2 - 1.8. Let f = -7.7 - p. Put 3, -1, f in increasing order. -1, f, 3 Let x = 0 + -1. Let a be -1*((-4)/x)/(-2). Suppose 5*j - 27 = 2*y, j - 3*y - 13 = -j. Put -2, j, a in descending order. j, a, -2 Let g = -1.2 + 1. Put g, 0.1, 0.5 in decreasing order. 0.5, 0.1, g Suppose 3*g - 2*f = g + 2, 5*f = 4*g - 1. Let p be -1*(-1 + -3) + 0. Let u = p + -6. Put g, u, 2 in ascending order. u, 2, g Let g(w) = -w - 2. Let k be g(0). Sort 3, 1, k in decreasing order. 3, 1, k Suppose 2*x + 6 = -0*m + 2*m, 5*m - x = -5. Suppose 0 = 2*l - 2*c - 8, 2*c + 5 = -5. Put l, -2/9, m in ascending order. m, l, -2/9 Let v = -4 + 4. Suppose 2*c = -3*c + 25. Let y = -16 - -11. Put v, y, c in decreasing order. c, v, y Let t = -0.7 + 0.3. Let y = -0.28 - -0.38. Sort t, 1, y in ascending order. t, y, 1 Suppose u = 2*u. Sort -1, 6, u. -1, u, 6 Let h = 29 - 17. Let n be (-1)/(-2)*h/(-2). Suppose -5 = -v - 4*v. Put n, v, -4 in descending order. v, n, -4 Let l be -1 + 1 + (-4)/(-14). Let r = -10.18 + 0.18. Let p = -9.9 - r. Sort p, -2/5, l in descending order. l, p, -2/5 Let p = 7 + -4. Suppose 37 = -4*g - k + 6*k, -5*g = 2*k + 5. Sort g, p, 1/2 in decreasing order. p, 1/2, g Let f be (2/6*0)/(-2). Suppose -4 = 2*k - f. Sort k, 0, -4 in descending order. 0, k, -4 Let p = 0 + 2. Let o = 1076/11 + -98. Sort o, -0.4, p in ascending order. -0.4, o, p Suppose 4*j - 2*i + 28 = -2, 4*i - 30 = 2*j. Sort -3, j, 3 in ascending order. j, -3, 3 Suppose 5*k + 51 + 14 = -5*l, 0 = 5*k - 3*l + 49. Let s be 7/(-21) + 21/9. Sort s, -2, k. k, -2, s Let o be 5/(-2)*(-10)/25. Let r = 11 - 15. Put r, 3, o in decreasing order. 3, o, r Let n = -74 - -369/5. Put 0.05, -0.4, n in descending order. 0.05, n, -0.4 Let z = -17.3 + 17. Put z, 4, -0.2 in descending order. 4, -0.2, z Let i = -3/22 + 89/330. Sort 1, i, 5 in descending order. 5, 1, i Let v = -18 - -27. Let h = v - 8. Suppose 0 = 4*i - 0*i + 20. Sort h, -3, i in decreasing order. h, -3, i Suppose -4 - 4 = -2*n. Let t(j) = j**2 + 11*j + 12. Let g be t(-9). Let a be (-1 - g/3) + -6. Sort n, -2, a in decreasing order. n, -2, a Let r = 15 - 28. Put -3, 5, r in decreasing order. 5, -3, r Let s be (0 + -1)/((-3)/27). Let z = s + -1. Let m = -13 + z. Sort -3, m, -4 in descending order. -3, -4, m Suppose -5*g + 0*g = -15. Suppose p + 3*c - 5*c = 11, g*p = 2*c + 17. Let d be (-11)/p - (2 - 5). Put 2/5, 5, d in ascending order. d, 2/5, 5 Let p(l) = l - 16. Let f be p(19). Sort -3, f, -1. -3, -1, f Let s(u) be the third derivative of -13*u**4/12 + u**3/6 - 2*u**2. Let a be s(1). Let v be (12/(-10))/(10/a). Sort -3, -4, v in decreasing order. v, -3, -4 Let l(b) = -b**2 + 12*b - 5. Let k be l(11). Let z be (k + 1)*(-4 - -3). Let i = -3 - z. Sort 2, i, -2 in increasing order. -2, 2, i Let x = -2 - -7. Let c be 3 + (-1 + x)/(-4). Put -2, c, -3 in descending order. c, -2, -3 Let l = 7 + -5. Let j = -20 + 20.3. Put j, l, 0.04 in decreasing order. l, j, 0.04 Let s be (4*(-2)/(-20))/((-7)/5). Sort -0.3, s, -5, -12. -12, -5, -0.3, s Let g = 17 + -16. Put -3, 4, g in descending order. 4, g, -3 Let a = -14.3 - -14. Sort -13, -0.4, a. -13, -0.4, a Let i(y) = y. Let g be i(-7). Let n(z) = z**2 + 7*z - 2. Let d be n(g). Sort d, 4, -9. -9, d, 4 Suppose 4*r - l + 1 = 0, -5*r + r - 2 = -2*l. Sort r, 5, -3 in descending order. 5, r, -3 Let z be (1/(-3))/((-1)/(-3)). Suppose 3*w - 27 = d - 7, w = 2*d + 15. Let o = -18 - -13. Put z, w, o in decreasing order. w, z, o Let l = -27.4 + 24. Let j = -3 - l. Put j, 1, 0 in descending order. 1, j, 0 Let x be (-2)/3 + 170/210. Let i(k) = -k**2 - 5*k. Let c be i(-5). Put -3, c, x in decreasing order. x, c, -3 Let l = 17 + -14. Put -2, l, 1/10 in increasing order. -2, 1/10, l Let s(a) = -a**2 + a - 2. Let g be s(0). Suppose -3*z = 2*z. Put 1, g, z in ascending order. g, z, 1 Suppose -4 = -29*b + 33*b. Sort b, 2, -4 in descending order. 2, b, -4 Let v be 1 + 0 + (6 - 3). S
{ "pile_set_name": "DM Mathematics" }
igit of 13351377? 5 What is the ten thousands digit of 5468165? 6 What is the units digit of 257567? 7 What is the hundreds digit of 2955363? 3 What is the tens digit of 4391001? 0 What is the units digit of 1202297? 7 What is the tens digit of 715859? 5 What is the hundred thousands digit of 286786? 2 What is the units digit of 322243? 3 What is the hundreds digit of 1739156? 1 What is the ten thousands digit of 2201023? 0 What is the thousands digit of 152932? 2 What is the millions digit of 4583742? 4 What is the ten thousands digit of 2890267? 9 What is the millions digit of 1690410? 1 What is the hundred thousands digit of 218188? 2 What is the millions digit of 6910564? 6 What is the hundred thousands digit of 7530410? 5 What is the thousands digit of 278465? 8 What is the hundred thousands digit of 1653996? 6 What is the thousands digit of 41847? 1 What is the hundreds digit of 2393348? 3 What is the thousands digit of 314719? 4 What is the thousands digit of 14391497? 1 What is the units digit of 26114973? 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2 What is the units digit of 163458? 8 What is the ten thousands digit of 145639? 4 What is the ten thousands digit of 408466? 0 What is the millions digit of 5651304? 5 What is the ten thousands digit of 585053? 8 What is the ten thousands digit of 6847341? 4 What is the thousands digit of 6502151? 2 What is the hundreds digit of 814823? 8 What is the hundreds digit of 607? 6 What is the thousands digit of 315930? 5 What is the ten thousands digit of 644258? 4 What is the units digit of 5399062? 2 What is the ten thousands digit of 2180479? 8 What is the hundred thousands digit of 5116518? 1 What is the hundred thousands digit of 853380? 8 What is the units digit of 344264? 4 What is the ten thousands digit of 9639516? 3 What is the units digit of 1086291? 1 What is the tens digit of 54308? 0 What is the hundred thousands digit of 1331825? 3 What is the thousands digit of 56533? 6 What is the ten thousands digit of 6230651? 3 What is the hundreds digit of 554916? 9 What is the units digit of 14361? 1 What is the tens digit of 59548? 4 What is the units digit of 964447? 7 What is the units digit of 23963244? 4 What is the tens digit of 46742? 4 What is the thousands digit of 113150? 3 What is the ten thousands digit of 2576173? 7 What is the hundred thousands digit of 750486? 7 What is the hundreds digit of 75450? 4 What is the hundred thousands digit of 752457? 7 What is the ten thousands digit of 501011? 0 What is the hundred thousands digit of 2076678? 0 What is the ten thousands digit of 444200? 4 What is the tens digit of 25470373? 7 What is the ten thousands digit of 4249773? 4 What is the hundreds digit of 12868820? 8 What is the ten thousands digit of 436711? 3 What is the ten thousands digit of 296246? 9 What is the units digit of 122855? 5 What is the tens digit of 4259915? 1 What is the hundreds digit of 1829893? 8 What is the hundreds digit of 2944661? 6 What is the thousands digit of 271556? 1 What is the hundreds digit of 2218188? 1 What is the ten thousands digit of 1513736? 1 What is the units digit of 10024158? 8 What is the tens digit of 2720? 2 What is the hundred thousands digit of 9052698? 0 What is the thousands digit of 2367790? 7 What is the hundreds digit of 14842615? 6 What is the thousands digit of 19043579? 3 What is the ten thousands digit of 14978098? 7 What is the ten thousands digit of 8805280? 0 What is the ten thousands digit of 3141159? 4 What is the units digit of 70703? 3 What is the millions digit of 2477319? 2 What is the ten thousands digit of 1771109? 7 What is the hundreds digit of 142009? 0 What is the hundreds digit of 328152? 1 What is the ten millions digit of 15909310? 1 What is the ten thousands digit of 39256781? 5 What is the thousands digit of 1258720? 8 What is the thousands digit of 372065? 2 What is the thousands digit of 72222? 2 What is the ten thousands digit of 513102? 1 What is the tens digit of 4874802? 0 What is the ten thousands digit of 3472101? 7 What is the thousands digit of 268559? 8 What is the units digit of 330568? 8 What is the ten thousands digit of 369
{ "pile_set_name": "DM Mathematics" }
PM and 6:13 AM? 408 What is 59 minutes after 4:40 AM? 5:39 AM How many minutes are there between 2:03 AM and 9:57 AM? 474 What is 53 minutes before 11:35 PM? 10:42 PM What is 490 minutes before 4:28 PM? 8:18 AM How many minutes are there between 3:02 PM and 2:24 AM? 682 What is 252 minutes before 3:10 AM? 10:58 PM How many minutes are there between 9:07 PM and 11:54 PM? 167 What is 63 minutes before 2:46 PM? 1:43 PM How many minutes are there between 5:29 PM and 4:13 AM? 644 How many minutes are there between 2:57 AM and 6:28 AM? 211 How many minutes are there between 10:19 PM and 9:19 AM? 660 What is 470 minutes after 5:12 AM? 1:02 PM What is 89 minutes after 11:36 PM? 1:05 AM What is 342 minutes after 2:39 AM? 8:21 AM How many minutes are there between 6:57 PM and 8:06 PM? 69 How many minutes are there between 2:38 AM and 12:56 PM? 618 How many minutes are there between 3:18 AM and 1:42 PM? 624 What is 25 minutes before 9:52 PM? 9:27 PM How many minutes are there between 4:25 AM and 3:42 PM? 677 How many minutes are there between 2:48 PM and 7:41 PM? 293 How many minutes are there between 7:21 PM and 4:19 AM? 538 How many minutes are there between 9:17 PM and 5:57 AM? 520 How many minutes are there between 6:49 AM and 1:35 PM? 406 How many minutes are there between 6:54 PM and 2:41 AM? 467 What is 667 minutes after 1:16 AM? 12:23 PM What is 217 minutes after 6:41 AM? 10:18 AM How many minutes are there between 10:34 AM and 10:14 PM? 700 What is 680 minutes after 7:34 PM? 6:54 AM How many minutes are there between 1:34 AM and 3:49 AM? 135 How many minutes are there between 11:28 AM and 3:39 PM? 251 What is 676 minutes before 11:39 AM? 12:23 AM How many minutes are there between 12:07 AM and 12:11 AM? 4 How many minutes are there between 4:51 AM and 5:31 AM? 40 How many minutes are there between 3:04 AM and 8:27 AM? 323 What is 249 minutes before 3:11 AM? 11:02 PM How many minutes are there between 6:22 PM and 7:53 PM? 91 How many minutes are there between 11:22 PM and 8:08 AM? 526 What is 388 minutes before 10:23 PM? 3:55 PM How many minutes are there between 12:30 AM and 11:32 AM? 662 How many minutes are there between 3:37 AM and 11:03 AM? 446 How many minutes are there between 11:59 AM and 5:40 PM? 341 What is 481 minutes before 10:52 PM? 2:51 PM What is 445 minutes after 6:17 PM? 1:42 AM How many minutes are there between 1:47 AM and 11:52 AM? 605 How many minutes are there between 12:16 PM and 2:38 PM? 142 How many minutes are there between 6:14 PM and 11:14 PM? 300 How many minutes are there between 2:08 AM and 4:30 AM? 142 What is 331 minutes before 7:00 AM? 1:29 AM What is 398 minutes after 4:50 PM? 11:28 PM What is 159 minutes after 12:31 AM? 3:10 AM How many minutes are there between 8:41 AM and 5:50 PM? 549 How many minutes are there between 11:20 PM and 10:23 AM? 663 What is 185 minutes before 3:01 PM? 11:56 AM How many minutes are there between 11:03 AM and 7:08 PM? 485 How many minutes are there between 12:50 AM and 1:34 AM? 44 How many minutes are there between 2:00 AM and 2:40 AM? 40 How many minutes are there between 9:53 AM and 2:27 PM? 274 What is 625 minutes before 12:16 PM? 1:51 AM What is 660 minutes after 10:24 PM? 9:24 AM How many minutes are there between 9:34 PM and 10:09 PM? 35 What is 373 minutes after 4:06 PM? 10:19 PM How many minutes are there between 2:52 AM and 4:20 AM? 88 What is 9 minutes after 7:11 AM? 7:20 AM What is 20 minutes after 12:12 AM? 12:32 AM How many minutes are there between 11:53 AM and 4:05 PM? 252 What is 331 minutes after 10:18 AM? 3:49 PM What is 693 minutes after 12:25 AM? 11:58 AM What is 564 minutes after 9:18 AM? 6:42 PM How many minutes are there between 5:55 PM and 6:46 PM? 51 What is 155 minutes after 5:16 AM? 7:51 AM What is 625 minutes after 3:46 AM? 2:11 PM How many minutes are there between 11:05 PM and 9:12 AM? 607 How many minutes are there between 8:23 AM and 6:18 PM? 595 What is 293 minutes after 12:39 PM? 5:32 PM How many minutes are there between 2:18 AM and 12:41 PM? 623 How many minutes are there between 6:11 PM and 10:37 PM? 266 What is 680 minutes before 12:30 PM? 1:10 AM How many minutes are there between 5:42 AM and 10:28 AM? 286 What is 36 minutes after 7:53 AM? 8:29 AM What is 699 minutes before 6:13 AM? 6:34 PM How many minutes are there between 1:53 PM and 9:46 PM? 473 What is 485 minutes after 1:30 AM? 9:35 AM How many minutes are there between 3:41 PM and 4:29 PM? 48 What is 123 minutes before 9:36 PM? 7:33 PM What is 355 minutes before 3:20 PM? 9:25 AM How many minutes are there between 2:15 PM and 2:55 PM? 40 What is 697 minutes after 1:21 PM? 12:58 AM What is 583 minutes after 1:35 AM? 11:18 AM What is 446 minutes before 7:03 AM? 11:37 PM What is 44 minutes before 8:16 AM? 7:32 AM What is 6 minutes before 11:08 PM? 11:02 PM How many minutes are there between 5:55 PM and 6:45 PM? 50 What is 91 minutes after 6:53 AM? 8:24 AM How many minutes are there between 5:11 AM and 9:36 AM? 265 What is 553 minutes after 4:09 AM? 1:22 PM What is 458 minutes before 8:16 AM? 12:38 AM What is 10 minutes before 9:50 PM? 9:40 PM How many minutes are there between 6:41 AM and 3:18 PM? 517 What is 535 minutes before 1:43 PM? 4:48 AM How many minutes are there between 11:09 PM and 1:42 AM? 153 How many minutes are there between 4:26 AM and 9:05 AM? 279 What is 572 minutes after 2:02 AM? 11:34 AM How many minutes are there between 4:40 AM and 8:17 AM? 217 How many minutes are there between 11:03 AM and 12:31 PM? 88 How many minutes are there between 7:06 AM and 10:43 AM? 217 What is 607 minutes before 8:44 AM? 10:37 PM How many minutes are there between 3:51 AM and 12:49 PM? 538 What is 655 minutes before 2:44 AM? 3:49 PM What is 557 minutes after 11:00 PM? 8:17 AM How many minutes are there between 11:56 AM and 8:46 PM? 530 What is 697 minutes after 2:18 AM? 1:55 PM How many minutes are there between 12:54 PM and 9:42 PM? 528 What is 564 minutes before 11:34 AM? 2:10 AM How many minutes are there between 6:58 AM and 1:14 PM? 376 What is 38 minutes before 10:16 PM? 9:38 PM How many minutes are there between 7:31 PM and 7:43 PM? 12 What is 670 minutes before 7:20 AM? 8:10 PM How many minutes are there between 11:02 PM and 1:48 AM? 166 How many minutes are there between 3:59 PM and 10:26 PM? 387 How many minutes are there between 6:30 AM and 3:16 PM? 526 How many minutes are there between 5:57 AM and 11:22 AM? 325 How many minutes are there between 11:10 PM and 7:56 AM? 526 How many minutes are there between 11:09 PM and 1:34 AM? 145 How many minutes are there between 1:38 PM and 1:20 AM? 702 How many minutes are there between 11:48 AM and 9:57 PM? 609 What is 117 minutes before 3:08 PM? 1:11 PM How many minutes are there between 9:22 PM and 1:59 AM? 277 How many minutes are there between 1:43 AM and 2:35 AM? 52 How many minutes are there between 3:35 PM and 5:45 PM? 130 How many minutes are there between 1:13 PM and 8:13 PM? 420 What is 558 minutes before 5:47 AM? 8:29 PM How many minutes are there between 5:40 AM and 7:31 AM? 111 How many minutes are there between 6:54 PM and 9:55 PM? 181 How many minutes are there between 3:23 AM and 6:46 AM? 203 How many minutes are there between 7:16 PM and 11:53 PM? 277 How many minutes are there between 12:48 PM and 5:12 PM? 264 How many minutes are there between 1:55 PM and 2:07 PM? 12 How many minutes are there between 7:11 AM and 8:47 AM? 96 How many minutes are there between 6:38 AM and 8:53 AM? 135 How many minutes are there between 7:34 AM and 12:38 PM? 304 What is 243 minutes after 1:22 PM? 5:25 PM How many minutes are there between 9:34 AM and 11:21 AM? 107 How many minutes are there between 10:55 AM and 3:10 PM? 255 What is 624 minutes before 4:36 AM? 6:12 PM What is 298 minutes after 12:29 PM? 5:27 PM What is 630 minutes before 10:20 PM? 11:50 AM How many minutes are there between 8:15 AM and 5:43 PM? 568 What is 60 minutes after 1:29 PM? 2:29 PM How many minutes are there between 10:55 AM and 11:39 AM? 44 What is 586 minutes after 2:12 AM? 11:58 AM What is 491 minutes after 7:12 PM? 3:23 AM How many minutes are there between 8:09 PM and 11:01 PM? 172 What is 586 minutes after 11:15 AM? 9:01 PM How many minutes are there betwe
{ "pile_set_name": "DM Mathematics" }
ors of v? 2, 5 Suppose 0 = 14*x - 167 - 2731. List the prime factors of x. 3, 23 Suppose 0 = -t + 59 - 18. List the prime factors of t. 41 Suppose 23 = 2*k - 233. What are the prime factors of k? 2 Let l = -19 + 74. Let v = -33 + l. What are the prime factors of v? 2, 11 Let h = 83 + -57. Let v(l) = l**2 + 3*l - 9. Let o be v(6). Let a = o - h. What are the prime factors of a? 19 Let c = -107 - -189. List the prime factors of c. 2, 41 Let d(n) = n**2 - 4*n + 3. Let f = -4 + 8. Let y be d(f). Let m = 2 + y. What are the prime factors of m? 5 Let h(y) = -9*y - 6. Let d be h(6). Let z = d - -105. Suppose j + z = 4*j. What are the prime factors of j? 3, 5 Let n be (-7)/(-2) + (-4)/(-8). Suppose -d + 58 = 2*q, -4*d + 18 = n*q - 98. Let h = q + -14. What are the prime factors of h? 3, 5 Suppose -272 = -0*c - 2*c - 4*h, 0 = -5*h - 20. What are the prime factors of c? 2, 3 Suppose -170 = -3*k + 5*w, k - 125 = -k + w. List the prime factors of k. 5, 13 Let b(k) = 13*k - 4. Let v be b(8). Suppose 5*i - 3*u - v = 0, -71 = -2*i - 6*u + u. List the prime factors of i. 23 Let m be ((-2)/4)/((-3)/12). Suppose -3*q = -m*q - 13. List the prime factors of q. 13 Suppose f - 2*u = -5*u, u = 3*f. Suppose 2*q = -3*q + 10. Suppose 2*d + q*d - 44 = f. What are the prime factors of d? 11 Let q = 1 + 0. Let t = q + 2. Suppose -2 = -t*v + 34. List the prime factors of v. 2, 3 Let x(l) = 2*l - 3 - 6 + 1. Let y be x(7). Let q = 0 + y. List the prime factors of q. 2, 3 Let n = -3 - -7. Suppose -51 = -5*w - 2*h, 18 = 3*w - n*h + h. Let q = w - 4. List the prime factors of q. 5 Let o(t) = t + 16. Let x be 6/(-15) - (-6)/15. List the prime factors of o(x). 2 Suppose -1 = 3*l - 5*f - 78, -f + 2 = 0. Let m = 17 - l. Let w = -2 - m. What are the prime factors of w? 2, 5 Suppose 9 = 4*p + 1. Suppose 0 = -p*t - t + 57. List the prime factors of t. 19 Let u = 17 + -6. Suppose 0 = 4*z + 2*h + u - 27, 3*z - 4*h - 34 = 0. What are the prime factors of z? 2, 3 Let q(l) be the third derivative of l**4/12 - 5*l**3/6 - 3*l**2. Suppose 5*n - n - 4*r - 32 = 0, 0 = -5*n + 3*r + 38. What are the prime factors of q(n)? 3 Suppose -17 = 4*n + 4*k - 69, 5*n - 73 = 3*k. Let j be (16/n + -2)*7. What are the prime factors of (-22)/(-6) - 2/j? 2 List the prime factors of 4/(3 + -1)*(2 - -9). 2, 11 Let i(k) = 3*k + 13*k**3 - 1 + 2*k - 4*k + k**2. Let g be i(1). Let v = g + -8. List the prime factors of v. 2, 3 Suppose 0*u - 39 = -3*u. Let f = u - -2. Suppose 2*w = 35 - f. What are the prime factors of w? 2, 5 Let w(l) = 5*l - 10. List the prime factors of w(6). 2, 5 List the prime factors of 3050/45 - 4/(-18). 2, 17 Let b be (23*-2 - -3) + -1. Let r = -22 - b. List the prime factors of r. 2, 11 Let l = -55 + 90. Suppose -v = -2*v + 52. Let i = v - l. List the prime factors of i. 17 List the prime factors of 1/4 + (-621)/(-12). 2, 13 Let f be (-1)/(-3)*(2 + -5). Let v(i) be the third derivative of i**5/4 + i**3/6 - 3*i**2. What are the prime factors of v(f)? 2 Let s = -10 - -17. What are the prime factors of s? 7 Let b(q) = -q**3 + 9*q**2 + 3*q - 3. Let m be b(9). What are the prime factors of 582/14 - m/(-56)? 2, 3, 7 Suppose -3*g - 2*f = -0*f + 15, -4*f - 12 = 0. Suppose k = -3*k. Let b = k - g. What are the prime factors of b? 3 Let o be 3/1 + 1 + 121. Suppose 0 = -5*w + 4*m + o, -5*w + 42 = 5*m - 38. List the prime factors of w. 3, 7 Let b be (-6)/(-3)*(-1)/2. What are the prime factors of (2/b + 8)*1? 2, 3 Suppose u - 15 = -2*u. Suppose 0 = -0*o - o + u. List the prime factors of (-14)/o*15/(-3). 2, 7 Let w = 6 - 4. Suppose -4*k = -w*r + 10, -r = -k + 3*k - 9. Let s = 10 - r. What are the prime factors of s? 3 Let n be (-5)/((-10)/(-102)) + 1. Let b = -34 - n. List the prime factors of b. 2 Let a(j) = j - 8. Let t be a(6). Let n = t - -6. Suppose -4*c = n*o, -4*c - o + 2 = 2*o. What are the prime factors of c? 2 Suppose -4*k + 32 = 12, 2*k = -i + 63. List the prime factors of i. 53 Suppose 164 = 5*i + 19. What are the prime factors of i? 29 Let u(h) = -4*h**2 - 10*h + 9. Let k(s) = 3*s**2 + 10*s - 8. Let n(f) = 5*k(f) + 4*u(f). Let i be (-1)/(-4) - 31/(-4). What are the prime factors of n(i)? 2, 3 Let u(p) = -p**2 - 6*p - 4. Let v = 0 + -4. Let j be u(v). Suppose j*q - 22 = 5*w, -23 + 8 = -3*q + 3*w. What are the prime factors of q? 3 Let r(v) = -v - 2. Let f be r(-5). Suppose f*n = 4*s + 1, -n - 5*s + 9 = -23. What are the prime factors of n? 7 Let u(b) = -b**2 - 13*b + 31. List the prime factors of u(-13). 31 Suppose -15 = 5*f, -4*q + f = -f - 786. List the prime factors of q. 3, 5, 13 Suppose -2*p + 4*p - 5*m = 31, -4*p = -5*m - 47. List the prime factors of p. 2 Suppose -2*p = -5*p - 5*y + 31, -3*p + 5*y = 19. Suppose -p*d - 16 = -6*d. Suppose -3*z + 2*c + d = 0, 2 = z + 4*c - 4. What are the prime factors of z? 2 Suppose 4*t - 20 = 3*l + 18, 4*l = -t. Let a = -2 + t. List the prime factors of a. 2, 3 What are the prime factors of (7 - -11) + -1 + 0? 17 Let w(p) = 2*p**2 - 4*p. Let g be w(4). Let j = g + 24. List the prime factors of j. 2, 5 Let i be ((-2)/5)/((-1)/5). Suppose 3*n = -3*k + 21, 4*k - 3*n - 8 = -i*n. Suppose -k*q + 18 = -6. What are the prime factors of q? 2 Let i(j) = 2*j**2 - 2*j + 1. Let o be i(2). Suppose o*l - 20 = 240. Suppose 0 = -5*v - 2*z + l, 2*z + 68 = 4*v - 3*z. What are the prime factors of v? 2, 3 Let i be 1016/28 - 2/7. Let o be -1 - 1/(-1 + 0). Suppose -4*d + o*d + i = 0. What are the prime factors of d? 3 Let h = -22 - -57. List the prime factors of 113/7 - 5/h. 2 Suppose -1 = 2*k + 9, -4*u + 4*k = -40. Let b = -1 + u. Suppose z - b = 4. List the prime factors of z. 2 Let g = -5 + 3. Let o = 4 + g. What are the prime factors of o? 2 Suppose 2*b - 3 = b. Suppose -2*t = -29 + b. What are the prime factors of t? 13 Let y = -94 + 168. What are the prime factors of y? 2, 37 Suppose -2 = 2*p - 6. Let t be p/(-3) - 112/(-6). Suppose t = q + 2*q. What are the prime factors of q? 2, 3 Suppose -4*t = -1703 + 123. What are the prime factors of t? 5, 79 Suppose 3*m = 3*w + 102, -4*m - 3*w = -2*w - 156. Suppose 5*x - 3*j - m = 0, 5*j + 30 = x + 4*x. What are the prime factors of x? 2, 5 Let c(w) = w**3 - 3*w**2 - 6*w + 2. Let b be c(5). Let j = b - 8. What are the prime factors of j? 2, 7 Suppose 0 = -3*y + 5*s + 45, -2*s = -3*s. Let c = y + -5. What are the prime factors of c? 2, 5 Let h = -24 - -29. Suppose 0 + 14 = 3*q - 2*t, h*q + 4*t - 16 = 0. List the prime factors of q. 2 Suppose a - 5 = -3. Suppose -3*r - a*c - c = -72, c - 111 = -4*r. Let y = r + -11. What are the prime factors of y? 2, 3 Let a be 2*(-7)/(-2) + -2. Suppose 0 = 2*o - a*u - 44, 2*o - 32 = -u - 0. List the prime factors of o. 17 Suppose -6*j + 4*j + 236 = 0. List the prime factors of j. 2, 59 Let r(b) = b**2 + 2*b + 3. Let u(l) = -l**3 - 4*l**2 - 3*l - 1. Let i be u(-2). Let f be r(i). Suppose -3*d = -f*d + 57. What are the prime factors of d? 19 Suppose 180 = 4*v - 88. List the prime factors of v. 67 Suppose 0 = -2*d - 2*d. Suppose 0*a - a = d. Suppose a = 5*z + 40 - 105. List the prime factors of z. 13 Let m(q) = q - 3. Let n be m(5). Suppose 6*h - n*h = 136. List the prime factors of h. 2, 17 Suppose 0*k - 4*k + 12 = 0. What are the prime factors of 8 - 1*(k + -2)? 7 Let p = 465 - 277. What are the prime factors of p? 2, 47 Let y(d) = d**3 + 3*d**2 - d - 2. Let v be (0 + 1)*-2 + -1. Let a be y(v). Suppose -t + 5*f + 25 = 0, -f = t + a - 2. What are the prime factors of t? 5 Let j be (-18)/(-21) + (-3)/(-21). Let v = j - 5. Let d(u) = -4*u + 3. List the prime factors of d(v). 19 Let g = -2 + 6. Let t(v) = 2*v - 5. Let x be t(10). List the prime factors of (54/x)/(g/10). 3 Let j = 0 + 0. Let i = -40 - -45. Suppose -5*c - 22 = -i*r + 2*r, -2*r - 4*c = j. List the prime factors of r. 2 Suppose 4*l - 7*l + 12 = 0. Suppose 11 = f + 3*s - 4, -5*f - l*s = -64. List the prime factors of f. 2, 3 Suppose -n - 123 = -4*n. List the prime factors of n. 41 What are the prime factors of (-9)/3 + 100 + -2? 5, 19 Let i be ((-1)/2)/(2/(-12)). Let s = -6 + 9. Suppose -i*t - 2*t = s*j - 6, 0 = 5*j - 3*t - 44. What are the prime factors of j? 7 Suppose 4 = 4*v, 0*p - 3*v = 3*p - 81. What are the prime factors of p? 2, 13 Let o(j) = -4*j + 1. Let p(r) = -r**2 + 4*r + 3. Let a be p(5). What are the prime factors of o(
{ "pile_set_name": "DM Mathematics" }
40*x**2. Find the second derivative of b(k) wrt k. -2082*k Let n(f) be the first derivative of 225*f**7/7 + f**5 - f**3 - 88*f + 1604. What is the third derivative of n(m) wrt m? 27000*m**3 + 120*m What is the third derivative of 172*q**2 + 18*q**2 + 2471*q**2 + 666*q**2 + 2050*q**5 wrt q? 123000*q**2 Suppose -r = r - 4. Suppose -52*v - 53*v + 48 = -97*v. Find the third derivative of 11*p**r + 9*p**2 - v*p**2 - 3*p**2 + 26*p**5 wrt p. 1560*p**2 What is the first derivative of -442 + 63780*y**2 - 54147*y**2 - 1775 wrt y? 19266*y Let n = 17652 + -17650. Let m(p) be the first derivative of -27 + 0*p + 16/3*p**3 - 31/2*p**n. Find the second derivative of m(f) wrt f. 32 Let p(l) = -2*l**2 - 85*l + 29. Let h be p(-42). Differentiate 351 - 20 - 73 - h*t wrt t. -71 Let h(r) be the first derivative of 0*r**5 - 4*r - 3/2*r**2 - 1/3*r**3 + 45/2*r**6 + 0*r**4 - 69. What is the second derivative of h(l) wrt l? 2700*l**3 - 2 Suppose -2*o - 94 - 34 = 0. Let p = o + 103. Find the first derivative of 47*h**2 - 47*h**2 - 32*h**4 + p wrt h. -128*h**3 Let p be (-299)/(-414)*(-3)/(-20). Let u(k) be the third derivative of 0*k**5 - 7/6*k**3 + 5*k**2 - p*k**6 + 0*k + 0 + 0*k**4. Differentiate u(r) wrt r. -39*r**2 Let q(y) be the first derivative of 239*y**5/5 + y**3 - 4616*y + 3593. Differentiate q(k) wrt k. 956*k**3 + 6*k Let u(n) = 6*n**3 - 3*n**2 + 5*n - 3. Let i be u(1). What is the second derivative of 1 + 16*o - 41*o + 24*o + 2*o**i - 5 + 2*o**4 + 3 wrt o? 40*o**3 + 24*o**2 Let y(n) = -n**3 - n**2 + n - 2. Let g(x) = -335*x**3 - 3*x**2 + 1269*x - 8. Let z(q) = -g(q) + 4*y(q). Find the third derivative of z(u) wrt u. 1986 Let j be (-1 - 165/9)/(12/(-18)). Suppose -2*s + j = d, 3*s - 2*s - 3*d - 4 = 0. What is the third derivative of s*g**5 + 78*g**2 + g**5 - 99*g**2 wrt g? 840*g**2 Suppose 2*p = -2*p + 20. Let q(m) = -7*m + 105. Let j be q(15). What is the third derivative of -9*a**2 - p*a**6 - 27*a**2 + j*a**2 - 6*a**6 wrt a? -1320*a**3 Let c = -79 - -81. Differentiate -3*y**2 + 5*y - 5*y**2 - 82 + 9*y**c + 0*y with respect to y. 2*y + 5 Suppose -3*t - 4*l + 5 = -7, 2*l - 6 = -4*t. Let y = 10 - t. Find the first derivative of 17*j - 11*j - y*j**3 - 6*j - 40 wrt j. -30*j**2 Let d(h) = -4*h**3 - 38*h**2 + 85*h - 31. Let j(b) = 3*b**3 + 21*b**2 - 43*b + 16. Let c(p) = -6*d(p) - 11*j(p). Find the second derivative of c(w) wrt w. -54*w - 6 Let a(k) = -31*k + 96. Let q be a(3). Let p(x) = x + 3. Let g(u) = -29*u**2 + u - 13. Let c(o) = q*p(o) - 3*g(o). Find the first derivative of c(r) wrt r. 174*r Let r be ((-20)/40)/((-1)/20). Suppose -5*p = 4*k - r, -5*p = -7 - 3. What is the second derivative of -13*c - 25*c**5 - 7*c + k*c wrt c? -500*c**3 Suppose 3*x - 4*x - 9 = 0. Let d = 11 + x. What is the third derivative of -2*z + 5*z**d - 5*z**3 + 2*z + 0*z**2 wrt z? -30 Let s(m) = -14*m**3 - 29*m**2 + 3*m - 3. Let i be s(-3). Let h be (-2)/4 + 6/12. What is the third derivative of 0*r - 15*r**2 + h*r + 87*r**4 - i*r**4 wrt r? -432*r Let x be (-270)/(-63)*(-2)/((-12)/70). Find the third derivative of -131*p**2 + 10*p**2 - 31*p**3 - x*p**2 + 4*p**2 + 269*p**3 wrt p. 1428 Let t(a) be the second derivative of -a**5/4 - 41*a**3/6 + 491*a**2 + 1029*a. Differentiate t(i) wrt i. -15*i**2 - 41 What is the second derivative of 1650115 - 55*w - 3*w - 1650115 + 8878*w**3 - 127*w wrt w? 53268*w Let o be 4/22 + 471/11. Let b = -36 + o. Find the third derivative of -5*g**4 + g**4 + b*g**2 + 6*g**2 wrt g. -96*g Let v(i) be the first derivative of 0*i**2 + 0*i**4 - 2/3*i**3 + 87*i - 43/5*i**5 - 95. Find the first derivative of v(a) wrt a. -172*a**3 - 4*a Let m = 5 - -24. Let l = m + -30. Let q(k) = k**2 - 1. Let y(g) = -6*g**2 + 5. Let r(t) = l*y(t) - 3*q(t). Find the first derivative of r(w) wrt w. 6*w Let t(y) be the second derivative of 1625*y**3/6 + 60*y**2 - 10*y + 3. Find the first derivative of t(n) wrt n. 1625 Let m(r) = -r**3 + 20*r**2 + 46*r - 41. Let w be m(22). What is the third derivative of 1016*f**4 - 514*f**4 - 506*f**4 + 13*f**2 - 7*f**w - 7 wrt f? -96*f - 42 What is the second derivative of 25966*b**2 - 13999*b**2 + 733*b - 14115*b**2 wrt b? -4296 Let k be (0 - 0)*(-63)/126. Let h(q) be the third derivative of 1/2*q**4 + 0*q - 5/2*q**3 + q**2 + k. What is the derivative of h(x) wrt x? 12 Suppose -31 = -26*c + 21. Find the second derivative of 54*u - 25*u - 41*u**c - u**3 - 14*u**2 wrt u. -6*u - 110 Let j(v) be the third derivative of 0 - 13/6*v**4 - 68*v**2 + 0*v - 23/60*v**5 + 0*v**3 + 0*v**6 - 1/70*v**7. What is the second derivative of j(o) wrt o? -36*o**2 - 46 Let x(q) be the first derivative of -110*q**6/3 + q**4 + 15*q**3 - 3*q + 889. What is the third derivative of x(j) wrt j? -13200*j**2 + 24 Let p(f) be the first derivative of -1/2*f**2 + 0*f**4 - 164*f + 0*f**3 + 37/5*f**5 - 55. Differentiate p(l) with respect to l. 148*l**3 - 1 Let z(k) be the first derivative of -2167*k**4/4 + 128*k**3/3 - 1772. Find the third derivative of z(f) wrt f. -13002 Let w be ((-99)/4)/((-18)/216). Find the third derivative of -314*h**2 + w*h**2 + 280*h**3 - 78*h**3 + h wrt h. 1212 Let p(a) = 693*a - 1239. Let f(t) = -5*t + 58. Let d be f(12). Let l(w) = -99*w + 177. Let v(n) = d*p(n) - 15*l(n). What is the first derivative of v(b) wrt b? 99 Let k be 1/(15/432) + (-19)/(-95). What is the second derivative of 1 + 41*z + k*z**2 - 6*z - 9*z - 8*z wrt z? 58 Let f(j) be the second derivative of -212*j**7/21 + 7*j**4/12 - 13*j**2 - 2*j - 954. What is the third derivative of f(n) wrt n? -25440*n**2 Let o be 165/44 + (-1)/(-4). Let y be 3/(30/o)*(10 - 0). What is the second derivative of -4 + y - 15*r + 6*r**2 + 10*r**2 wrt r? 32 Find the first derivative of 4*h**2 - 701 + 37292*h**4 - 140*h**2 + 336 - 37293*h**4 - 385 wrt h. -4*h**3 - 272*h What is the third derivative of 2 + 445757*z**3 + 1655*z**2 - 8096*z**4 - 445757*z**3 wrt z? -194304*z Let l(z) = -z**2 + 20*z + 99. Let r be l(24). What is the derivative of -j**r + 2 + 3 + 2 + 3*j + 20 wrt j? -3*j**2 + 3 Let y be (21/14)/((-3)/(-4)). Find the second derivative of 1433 + 30*d + 2*d**y - 1434 - 2*d**2 - 3*d**4 wrt d. -36*d**2 Let z be -1*(216/(-2) + (-40)/(-8)). Differentiate 66*r - z + 47*r - 8*r wrt r. 105 Let f = 58 - 56. Find the third derivative of -8*m - f*m**2 - 3*m**2 + 8*m - 151*m**3 + 4 - m**2 wrt m. -906 Let t(u) be the second derivative of 0*u**2 - 1/3*u**3 + 0*u**5 + 0 - 34*u - 11/5*u**6 + 5/12*u**4. Find the third derivative of t(i) wrt i. -1584*i Let q(f) = 30 - 2 + f**2 - 2*f**2 - 25*f + 0*f**2. Let j be q(-26). What is the derivative of 23 - 35*n**2 + 80*n**2 - 37*n**j wrt n? 16*n Let f be (8/2 - 1)/((-15)/(-10)). What is the third derivative of -169 + 120 - p**f + 88 + 3*p**3 - p**5 wrt p? -60*p**2 + 18 Let r(s) = -s**2 - 3*s + 5. Let j be r(-3). What is the second derivative of 165*m**5 - m - 164*m**j + 15*m**3 - 6*m wrt m? 20*m**3 + 90*m Let d be -16 + (-2 - -40 - 20). Let c(f) be the first derivative of 10/3*f**3 + 0*f**d - 14 + 29*f. What is the derivative of c(s) wrt s? 20*s Let o = 1 - 11. Let g be (-2)/o*(-35)/14*-4. Find the second derivative of 9*c - g*c - c**2 + 12*c**2 + 0*c wrt c. 22 Let q(l) be the second derivative of -356*l**4/3 - 27*l**3/2 - 3*l**2/2 - 230*l + 2. Find the second derivative of q(x) wrt x. -2848 Let x(n) be the second derivative of -953*n**5/20 - n**4/6 - n**3/6 + 489*n**2/2 + 39*n + 38. What is the second derivative of x(f) wrt f? -5718*f - 4 Let k be 4 + 0 + (-30)/10 + 30. Find the third derivative of 0*i**3 + 8*i**2 + k*i**3 + 28*i**3 - 8*i + 5*i wrt i. 354 Find the second derivative of 2*p + 169*p**3 - 81 + 3*p**2 - p**4 + 170*p**3 + 185*p**3 + 1155 + 242 wrt p. -12*p**2 + 3144*p + 6 Let v(a) be the second derivative of 3986*a**6/15 - 6671*a**2/2 + 131*a + 2. Differentiate v(y) wrt y. 31888*y**3 Find the second derivative of -6*o**3 + 744*o**5 - 1054*o - 2222*o**5 + 746*o**5 + 762*o**5 wrt o. 600*o**3 - 36*o Suppose 3*z - 6 = -2*g, 0 = 5*z - g - 3 - 7. Find the first derivative of -k**4 + 15 + 87 + 16*k**z + 4*k**2 - 28 wrt k. -4*k**3 + 40*k Suppose -5*b - 5*j = -0*b + 25, -14 = 4*b - 2*j. Let o be b/(-3)*(196/8 + 1). Find the first derivative of o - 19 - 3*a**3 - 6*a**3 wrt a. -27*a**2 Suppose 0 = 6*b - 651 - 627. What is the third derivative of -335*z**3 + 173*z**3 + b*z**3 - 1
{ "pile_set_name": "DM Mathematics" }
) = -z**3 + 8*z**2 - z + 4. Let m = -2 - -10. Let i be l(m). Sort 1, -1, i in increasing order. i, -1, 1 Let z = -176 - -172. Sort z, -3, -7, 0 in descending order. 0, -3, z, -7 Let o = 8 - 9. Suppose -v - 13 = -3*v - 3*x, -5*v = 3*x - 19. Let t be 56/(-35) + 6/(-15). Sort o, t, v in increasing order. t, o, v Let b = 840 - 844. Let j(y) = 5*y**2 + y. Let m be j(-1). Let k be (-1 - (-6)/m)*-10. Put k, -0.2, b in increasing order. k, b, -0.2 Let q = 1 - -1. Let c = -79/200 - 1/200. Put q, c, 0, 7 in decreasing order. 7, q, 0, c Let o(i) = -i**2 - 23*i + 140. Let k be o(5). Sort 67, -4, k in increasing order. -4, k, 67 Suppose 4 = 4*i - 16. Suppose 0 = -z + 11 - i. Let v be (5/(-30))/(z/9). Sort 3, -5, v in descending order. 3, v, -5 Let w = -45 - -51. Let p = 22 + -26. Sort w, p, -3 in decreasing order. w, -3, p Let g = -1.67 - -1.7. Let o = g - 0.06. Put o, 0.3, -2/5 in descending order. 0.3, o, -2/5 Let q(d) = 11*d**2 - 10*d + 18. Let i be q(3). Sort 2, i, 0 in decreasing order. i, 2, 0 Suppose 3*o + 5*b - 7 = 2, -o + 4*b = 14. Let g be -2 + 0 + (o - 23/(-5)). Put g, 0.4, 2/9, -4/7 in increasing order. -4/7, 2/9, 0.4, g Let g be (32/(-12))/(4/(-6)). Suppose 4*h = 4*b + 16, -2*b + 3*h + 1 = g*h. Let v be 10/(6/(-3)*b). Put -1, 1, v in descending order. v, 1, -1 Let t = 1.1 + -1.6. Let h = 5.88 + 0.12. Let d = h + -5.9. Sort -5, t, d. -5, t, d Let x(q) = 3*q + 86. Let c be x(-27). Sort c, 2, 1, -10. -10, 1, 2, c Suppose -m - 2*p + 24 = 3*m, 5*m = -4*p + 30. Suppose 15 = 3*g + m. Let q be ((-18)/21)/2 + 0. Sort q, -2, g in increasing order. -2, q, g Let n = 12/53 + -89/159. Put 5/3, 1/11, n, 0.1 in ascending order. n, 1/11, 0.1, 5/3 Let w be (-3 + -3)*6/(-4). Suppose w + 23 = 8*n. Let t(h) = -h**2 - 5*h + 2. Let o be t(-5). Put -4, o, n in descending order. n, o, -4 Suppose p = -11 + 16. Sort -17, p, -3, 2 in increasing order. -17, -3, 2, p Let u(h) be the first derivative of -h**4/4 - h**3 + h**2 + 2*h - 1. Let n be u(-3). Put n, 2, 5, 0 in decreasing order. 5, 2, 0, n Let f = -2 - -2. Suppose 7 = -5*n - 23. Let g = n + 1. Put f, -1, g in decreasing order. f, -1, g Let m = -2342 + 4683/2. Let g = -3 - -3.04. Let v = -2/7 + 15/28. Put g, v, m in descending order. v, g, m Suppose -30*m + 20 = -26*m. Put -2, m, 101 in descending order. 101, m, -2 Let v(u) = 3*u**2 - 3*u - 1. Let t be v(1). Sort t, -1/8, -0.1 in descending order. -0.1, -1/8, t Let q = 94 - 88.9. Let h = q - 6.1. Put -3/2, -3, h in descending order. h, -3/2, -3 Suppose -62 = -5*j + 203. Put 4, 2, j in ascending order. 2, 4, j Let m = 9 - 5. Suppose 0 = -3*w - 0*w + 5*o + 37, 4*o = -5*w. Let q be ((-2)/w)/((-8)/(-16)). Put m, -5, q in increasing order. -5, q, m Let v(c) = -3*c - 45. Let t be v(-16). Sort t, 27, 2 in increasing order. 2, t, 27 Let p = -0.05 + -2.75. Let k = 0.8 + p. Let x be (4/50)/(3/45*-1). Sort x, k, 1 in descending order. 1, x, k Let p(z) = z**2 - 11*z - 1. Let a be p(10). Let r be 4/2*a/(-2). Sort r, 3, 4 in decreasing order. r, 4, 3 Let q(z) = -4*z**2 + 243*z + 57. Let v be q(61). Put 13, v, 0, -3 in descending order. 13, 0, -3, v Let g(k) = k**2 + 22*k + 123. Let i be g(-13). Suppose 3*v + 0*v + 6 = 0. Let f be (v/i)/(5/(-45)). Sort 2, 11, f. 2, f, 11 Let q = 5124 + -5100.89. Let w = -23 + q. Let h = 2.89 + w. Put -1, 1/3, h in increasing order. -1, 1/3, h Let d = 2.7 + 0.3. Let j = 2.07 + 0.03. Let c = -0.9 - j. Put c, d, -2/3 in ascending order. c, -2/3, d Let i = 7 + -5. Let c be 5/(-2) - (-22)/(-44). Sort c, i, 1.5. c, 1.5, i Let i be (-44)/(-10) + (-12)/(-20). Suppose 0 = i*q - b - 12, q - 2*b + 2 = -1. Sort -1, q, -3, -2. -3, -2, -1, q Let m = -2735 + 2731. Sort m, -8, 1 in decreasing order. 1, m, -8 Let x(s) = -s + 22. Let g be x(-8). Let l be 1 + g/(-9) + -5. Sort l, -2/5, -0.3 in increasing order. l, -2/5, -0.3 Let u be 1*2 + (-11)/7. Let b be ((-3)/((-105)/14))/(3 - 2). Sort 3, b, u in increasing order. b, u, 3 Suppose -3 = -5*b + 2*a + 4, -2*b + a + 2 = 0. Suppose -21*n = -3*n. Put b, 2, n, 1 in descending order. b, 2, 1, n Let w be (1700/(-55))/5 + (6 - 0). Sort -166, -4/3, 4/9, w in decreasing order. 4/9, w, -4/3, -166 Let f = 0.49 - 4.19. Let l = 8.7 + f. Put l, 1/2, -0.2 in increasing order. -0.2, 1/2, l Suppose 16*q + 5*u = 18*q - 54, -5*u - 37 = -q. Sort 1, -3, 23, q in ascending order. -3, 1, q, 23 Let r = -1 - -4. Let b = 7195 + -7193. Sort -2/5, r, b in decreasing order. r, b, -2/5 Let g = -772 - -776. Sort g, -1, -9, -4 in descending order. g, -1, -4, -9 Let k(o) = -4*o - 1. Let w be k(1). Let f(q) = q**2 - 14*q + 3. Suppose 2*m + 7*x - 8 = 3*x, 5*x = -2*m + 3. Let z be f(m). Sort z, 2, w. w, 2, z Suppose 4 = 2*o - 2. Suppose 5*v = 27 - 17. Suppose -v*y + 7*y + 4 = 3*g, 5*y = -3*g + 14. Put 8, o, y in decreasing order. 8, o, y Let q be 1/4 + 189/144*-4. Put q, -1599, 5 in decreasing order. 5, q, -1599 Let h = -33 - -132. Let c = -98.6 + h. Sort 1/2, 0.2, c. 0.2, c, 1/2 Suppose 0 = -4*z + 4 + 20. Let t = 4 - z. Suppose 0 = -s - 2*s. Put s, -1, t in decreasing order. s, -1, t Let v = -193 - -2893/15. Sort 7, 4, v in descending order. 7, 4, v Let a = 1.5 + -1. Let p(g) = -g - 7. Let i be p(12). Let r = i + 22. Sort r, a, 5 in decreasing order. 5, r, a Let p be (-25)/(-190)*(-4)/(-5). Let w = 1411/6 - 236. Put p, 4/7, w in decreasing order. 4/7, p, w Suppose 2*g + 738 = 740. Put 34, g, 0 in descending order. 34, g, 0 Let f(v) = 12*v - 23. Let n be f(2). Let k(x) = -2*x**3 - x**2 + x. Let y be k(n). Sort -5, -3, y in decreasing order. y, -3, -5 Let x = -125 + 125.3. Sort -0.001, x, 0, 2 in decreasing order. 2, x, 0, -0.001 Let u be 10/4 - 3/6. Let n be 0/((-20)/6*(36/(-10) + 3)). Suppose g + 2 = -g. Sort u, g, n in increasing order. g, n, u Let l = -0.69 + 0.79. Let j = l + 4.9. Put -1/4, 0.1, 1, j in decreasing order. j, 1, 0.1, -1/4 Suppose 0 = 2*p + 4*w - 2*w - 22, 0 = 4*p - 2*w - 26. Suppose -3*k + 25 = -p*k. Suppose 2*i - 12 = 3*m, -4*i - 3*m + 6*m + 12 = 0. Sort k, i, 2. k, i, 2 Let x = 0.51 - 0.5. Let n = 2.3 - 1.8. Sort x, n, 5. x, n, 5 Suppose 0 = 2*b - 4 - 34. Let s = 15 - b. Suppose 3*l + 4*r = -l + 4, -l = -4*r + 19. Sort 1, l, s in decreasing order. 1, l, s Let m = -2328 - -2330. Sort 106, m, 0 in decreasing order. 106, m, 0 Let j(v) = 2*v**3 - 7*v**2 - v + 4. Let u be j(5). Let a = u + -299/4. Sort -0.5, a, -1, -0.2. -1, a, -0.5, -0.2 Let l = -10 + 22. Let d = l - 5. Suppose d*z + 10 = 2*z. Put -1, 3, z in decreasing order. 3, -1, z Let n = 1632 + -1629. Put n, 4, -3, -43 in decreasing order. 4, n, -3, -43 Let d = 3 - 8. Let x = -6.6 + 6.489. Let m = x + 0.031. Put m, d, 4 in descending order. 4, m, d Let y = -45 - -74. Let j = 28 - y. Sort j, -8, 3 in descending order. 3, j, -8 Let u be -1 + (2 - (0 - -1)). Let j = 28 + -25. Sort j, u, -1 in descending order. j, u, -1 Let g(u) = -5*u - 127*u**2 + 0*u + 0*u - 1 + 3*u. Let t be g(-1). Let c be (-2)/(-7) - (-57)/t. Put c, 0.4, 0.3 in ascending order. c, 0.3, 0.4 Let d be ((-184)/20 - -4)*-10. Let f be 5/(5 + d/(-10)). Put f, -1, -5, 5 in decreasing order. 5, -1, -5, f Let w(o) = 77*o + 82. Let l be w(-1). Put l, -4, -5, -9 in decreasing order. l, -4, -5, -9 Let y(x) = 50*x + 144. Let k be y(-3). Sort -10, -1, 1, k. -10, k, -1, 1 Let h = -309 + 314. Let z = 0 - -1. Put z, h, -3 in ascending order. -3, z, h Suppose -3*o - q + 29 = 0, -25*o - q - 31 = -28*o. Put 2, 0, -1, o in increasing order. -1, 0, 2, o Suppose f = 5*f + y - 8, -3*f = -2*y - 17. Suppose 3*h = 2*r - 6*r + 42, r - 51 = -f*h. Let u be (2/h)/((-2)/(-4)). Put -0.5, 2/11, u in increasing order. -0.5, 2/11, u Let h be 24/14 - 78/(-273). Let f be (((-33)/(-30))/11)/(1 + -2). Put -0.2, f, h in decreasing order. h, f, -0.2 Let r = 1703.2 + -1703. Let o = -1 - 4. Let u = -109/8 + 14. Sort r, u, o. o, r, u Let v = -262 + 260. Let w = 23 - 33. Put 1/6, v, w in decreasing order. 1/6, v, w Let c(i) be the first derivative of i**3/3 + 5*i**2 + 12*i - 9. Let o be c(-9). Sort 5, -1, 4, o in ascending order. -1, o, 4, 5 Let m(y) = 2*y - 8. Let j be m(5). Suppose -2*q + 16 = j*q. Let f = -5 - -4. Sort q, f, 8 in increasing order. f, q, 8 Let c = -0.2 - 0. Let w(n) = -21*n**2 - 207*n + 26. Let h be w(-10). Put h, 0, c, -2 in decreasing order. 0, c, -2, h Let d = 10.57 - 11.07. Sort -7, d, -4 in decreasing order. d, -4, -7 Let d = -10
{ "pile_set_name": "DM Mathematics" }
3, -2, 14, 1, -8 in decreasing order. 14, 3, 1, -2, -8, -10, -122 Sort 0.5, 25, 4, -4, 2.2, 313, -1 in descending order. 313, 25, 4, 2.2, 0.5, -1, -4 Sort 10, -619, 12, 30 in decreasing order. 30, 12, 10, -619 Sort -10, 2, 1, 129138. -10, 1, 2, 129138 Sort 21, -22, -1089, 3 in increasing order. -1089, -22, 3, 21 Sort -4, -7, -27, -160, 138 in descending order. 138, -4, -7, -27, -160 Put -3, -4, 8, 5, 293468 in descending order. 293468, 8, 5, -3, -4 Sort -5, -132, -4, 8, -54 in decreasing order. 8, -4, -5, -54, -132 Put -21/2, 0, 2824/11, 3/2, 0.1 in decreasing order. 2824/11, 3/2, 0.1, 0, -21/2 Put 1/6, 916684, 1, 5 in increasing order. 1/6, 1, 5, 916684 Sort 2267, 7, -88 in decreasing order. 2267, 7, -88 Put 22, 2, 31, -79, 17, -1 in descending order. 31, 22, 17, 2, -1, -79 Sort -485698, 10, 3, 5, -5. -485698, -5, 3, 5, 10 Sort -190, -5, 205, 0, -2, 5 in increasing order. -190, -5, -2, 0, 5, 205 Sort -28, 5, -9534, 0, 4, -6. -9534, -28, -6, 0, 4, 5 Sort 4, 9, 47, 11, 2, -17 in increasing order. -17, 2, 4, 9, 11, 47 Put -3, 9, 2, -1114, 5 in decreasing order. 9, 5, 2, -3, -1114 Put 13, 4, -54, -214, -18 in increasing order. -214, -54, -18, 4, 13 Sort 22, 4, 27700, 3 in descending order. 27700, 22, 4, 3 Sort 2, 8, 1, -7, 5, -739, 3 in increasing order. -739, -7, 1, 2, 3, 5, 8 Sort -27759, -2/23, -1 in increasing order. -27759, -1, -2/23 Put 10, 5, 3, 21, -99504, -2 in decreasing order. 21, 10, 5, 3, -2, -99504 Sort -2555, -99/227, -1/8, -5. -2555, -5, -99/227, -1/8 Sort 8686, -1/10, -3, 2/13, -0.01 in descending order. 8686, 2/13, -0.01, -1/10, -3 Sort 1, -15984, -10, -1, -4, -8, -3. -15984, -10, -8, -4, -3, -1, 1 Sort 3, 33, -4/3, 140, -2/5. -4/3, -2/5, 3, 33, 140 Sort 4, -4, -265, 627, 1. -265, -4, 1, 4, 627 Put 1, -22, -2, 1192, -1 in decreasing order. 1192, 1, -1, -2, -22 Put 0.1, 0.06473, 14/11, -3.1 in ascending order. -3.1, 0.06473, 0.1, 14/11 Put 3, -20, -0.7, -2/5271 in increasing order. -20, -0.7, -2/5271, 3 Sort -91, -2572, -51 in ascending order. -2572, -91, -51 Sort 2/3, -165, -9, 1/8, 0.1, 3/2 in descending order. 3/2, 2/3, 1/8, 0.1, -9, -165 Put 0.68, -1/3, 4/5, 2729, 3/5 in ascending order. -1/3, 3/5, 0.68, 4/5, 2729 Put -2, -1, 6, 170, -5, 4, -15 in descending order. 170, 6, 4, -1, -2, -5, -15 Sort 24, -534, -2011, 0 in decreasing order. 24, 0, -534, -2011 Put -5, 5, 6, -3634046, 0 in decreasing order. 6, 5, 0, -5, -3634046 Put -7, 82, 0, 22, 2 in descending order. 82, 22, 2, 0, -7 Put 3, 5, -50, -3, 24, 62, 1 in descending order. 62, 24, 5, 3, 1, -3, -50 Put 1.417, 122.27, 5 in ascending order. 1.417, 5, 122.27 Put -223, 35, -4, 3, 2 in increasing order. -223, -4, 2, 3, 35 Put -23, -318, -12, -1/2, 0 in descending order. 0, -1/2, -12, -23, -318 Put 0.3, -0.3, -3.2, 11633, -2, 20 in decreasing order. 11633, 20, 0.3, -0.3, -2, -3.2 Put 902, -1206, 0 in decreasing order. 902, 0, -1206 Sort 2865, 2/5, 5/261 in increasing order. 5/261, 2/5, 2865 Put -1, 46, 3, 1, 1555, -32 in ascending order. -32, -1, 1, 3, 46, 1555 Sort -4, 13, 5, -3, -1514, 15 in increasing order. -1514, -4, -3, 5, 13, 15 Sort -1216, -2, -225, 37 in ascending order. -1216, -225, -2, 37 Sort 1, 2, 5, 231, -2, 1480. -2, 1, 2, 5, 231, 1480 Sort 6.76439, 28, -4, -3 in descending order. 28, 6.76439, -3, -4 Put 1/4, -6898.3, 0.2, -5 in ascending order. -6898.3, -5, 0.2, 1/4 Sort -1238, -3, 4, -6, 46 in ascending order. -1238, -6, -3, 4, 46 Sort 3, 5, 20, 24, -2, 19, -10. -10, -2, 3, 5, 19, 20, 24 Sort 477, 4006, 1, -3 in increasing order. -3, 1, 477, 4006 Put 3, 2914663, -2 in descending order. 2914663, 3, -2 Sort -5.87056, 20, -3/2 in decreasing order. 20, -3/2, -5.87056 Sort 7, 8, -2, 4, -3, -29, 3 in ascending order. -29, -3, -2, 3, 4, 7, 8 Sort 164535, -2, 2, -4, 0, -1 in increasing order. -4, -2, -1, 0, 2, 164535 Sort 5, 4, -2355394 in ascending order. -2355394, 4, 5 Sort -67, -143, 11 in increasing order. -143, -67, 11 Sort 22596, -0.119, 2 in descending order. 22596, 2, -0.119 Sort -6, 1362, -2, -82, 5. -82, -6, -2, 5, 1362 Put 40, 1, 5, 69 in descending order. 69, 40, 5, 1 Put 340, 0.0236, 0.2, 0.02 in decreasing order. 340, 0.2, 0.0236, 0.02 Put -26, -3, 0, -2, 3, 19369 in increasing order. -26, -3, -2, 0, 3, 19369 Sort 4/9, 2/7, 3/7, -1, 0.8, 31 in increasing order. -1, 2/7, 3/7, 4/9, 0.8, 31 Sort 1, -9, -326, 7, 4, -5, 0 in ascending order. -326, -9, -5, 0, 1, 4, 7 Put -7, -5, 0, 187814, -2 in increasing order. -7, -5, -2, 0, 187814 Sort -15/4, 35, 2, 0.5, 872 in descending order. 872, 35, 2, 0.5, -15/4 Sort 0, -10, -69, -75, 1, -3 in decreasing order. 1, 0, -3, -10, -69, -75 Sort 2, 9, -2, 40, -21, -6, -3 in descending order. 40, 9, 2, -2, -3, -6, -21 Sort -4, -5, -2086, -3, -911. -2086, -911, -5, -4, -3 Sort 128, 41, 0, 4, -97 in descending order. 128, 41, 4, 0, -97 Put 3, 387, -1, 72, -107 in decreasing order. 387, 72, 3, -1, -107 Put 1, 1/4, 6, 128627 in descending order. 128627, 6, 1, 1/4 Sort 2/11, 9418, -4075 in decreasing order. 9418, 2/11, -4075 Sort 2, -11, 13, 33794, 1. -11, 1, 2, 13, 33794 Sort -0.1, -35, 206/67, -1, -2 in descending order. 206/67, -0.1, -1, -2, -35 Sort 0.4, 3, 0.01358, -625 in decreasing order. 3, 0.4, 0.01358, -625 Sort -5, 55, -26, -1769, 2 in increasing order. -1769, -26, -5, 2, 55 Put -2/11, -0.4, 62, 17.9, 1 in decreasing order. 62, 17.9, 1, -2/11, -0.4 Sort -2, 475, -1981 in ascending order. -1981, -2, 475 Sort 4, -2, 9, -5, -1501, 3, 0 in ascending order. -1501, -5, -2, 0, 3, 4, 9 Put 24, 13, 19, 7, 0, 5, -5 in increasing order. -5, 0, 5, 7, 13, 19, 24 Put -2/19, -1/5, -124, -4, 18393/2 in descending order. 18393/2, -2/19, -1/5, -4, -124 Put 2, 235, -293, 5, 4 in decreasing order. 235, 5, 4, 2, -293 Sort -88, -3, 3, -7, -427. -427, -88, -7, -3, 3 Sort -54, -14, -5, -32, 2 in ascending order. -54, -32, -14, -5, 2 Sort 5, -7, 19, 293, -9. -9, -7, 5, 19, 293 Put -11, -2, 430293, 1 in increasing order. -11, -2, 1, 430293 Put 0.02, 8, -1/2, -8949 in decreasing order. 8, 0.02, -1/2, -8949 Put -1, 37, -2, -8, -1133, 0 in decreasing order. 37, 0, -1, -2, -8, -1133 Sort -7/5, 3.411, 192, 0.2 in decreasing order. 192, 3.411, 0.2, -7/5 Put 187/6, -263043, -0.4 in descending order. 187/6, -0.4, -263043 Put -13, 1, -8, -1, 8, 10, -5 in decreasing order. 10, 8, 1, -1, -5, -8, -13 Sort -192103, -4, 3, 3/2, 4 in decreasing order. 4, 3, 3/2, -4, -192103 Sort -1417, 11/2, 2/3, 5.92. -1417, 2/3, 11/2, 5.92 Sort 31, 2, -4, -32, -3, -5 in increasing order. -32, -5, -4, -3, 2, 31 Sort -4, -96, -315499. -315499, -96, -4 Sort -2, -2/7, -25, -1/3, 19613. -25, -2, -1/3, -2/7, 19613 Put 10, 7, -4, 0, -3, -656 in ascending order. -656, -4, -3, 0, 7, 10 Sort 1, 0, 4, -1811, -68 in decreasing order. 4, 1, 0, -68, -1811 Sort 1782, 56, 20 in descending order. 1782, 56, 20 Sort 3, -173598, 14, -2 in descending order. 14, 3, -2, -173598 Put -39, 165, -146 in increasing order. -146, -39, 165 Sort 41801, 65, 3 in descending order. 41801, 65, 3 Sort -4, -1177552, -15 in descending order. -4, -15, -1177552 Sort 44, 3, -36711, 4. -36711, 3, 4, 44 Sort -2/3, 0, 1423, -0.4, 1/40, 707 in decreasing order. 1423, 707, 1/40, 0, -0.4, -2/3 Put -0.294, -1, -4, -0.2, 1, -3 in ascending order. -4, -3, -1, -0.294, -0.2, 1 Sort -5, -37, 565, 2, 5/6, -4. -37, -5, -4, 5/6, 2, 565 Sort -34, -1/8, 0.42, 1, -15. -34, -15, -1/8, 0.42, 1 Sort -5, 6, -61, -6, 2, 262 in descending order. 262, 6, 2, -5, -6, -61 Sort 2, -1698, 0, 1, 8, 4 in ascending order. -1698, 0, 1, 2, 4, 8 Put -1478, 5, -30, -46 in descending order. 5, -30, -46, -1478 Put -1234, -5, -1, 5, -12, 2, 10 in decreasing order. 10, 5, 2, -1, -5, -12, -1234 Sort -6, -161, -143111 in ascending order. -143111, -161, -6 Put -327827, 0, 4, 27 in decreasing order. 27, 4, 0, -327827 Sort -4, 5, -5, 12, 117, 24, 8. -5, -4, 5, 8, 12, 24, 117 Put 1, 8/5, -11, 4, -2/147, 2, 1/4 in increasing order. -11, -2/147, 1/4, 1, 8/5, 2, 4 Sort 4, 7, 1.2, -853/6, -5, 1 in descending order. 7, 4, 1.2, 1, -5, -853/6 Sort 0.2, -4, 19, 33593, 0. -4, 0, 0.2, 19, 33593 Put 4, 1/114, 16, -1/8, 1/12, 3/4 in decreasing order. 16, 4, 3/4, 1/12, 1/114, -1/8 Put -5, -27, -7, -299, -6 in descending order. -5, -6, -7, -27, -299 Put 16, 29, -0.3, 1/6, -0.1, 17/13 in descending order. 29, 16, 17/13, 1/6, -0.1, -0.3 Sort -3, 10, -951, 2, 5, 0, -6. -9
{ "pile_set_name": "DM Mathematics" }
5. Calculate -7*i(v) - 4*u(v). 16*v + 1 Let x(i) = -7*i**3 - 6*i**2 - 27*i - 6. Let g(y) = -6*y**3 - 5*y**2 - 26*y - 5. Give -6*g(b) + 5*x(b). b**3 + 21*b Let f(z) = z**2 + 2*z - 1. Let p(r) = 2*r**3 - 3*r**2 - 6*r - 114. What is 3*f(g) + p(g)? 2*g**3 - 117 Let i(q) be the first derivative of -3*q**2/2 + q + 4. Let z = -103 - -96. Let k(c) = 6*c - 2. Give z*i(u) - 4*k(u). -3*u + 1 Let n(h) = 5*h**2 + 6*h - 6. Let v be (-2)/3*(-5 + (1 - -1)). Let i(u) = u - 10*u - v*u + 21*u**2 - 30*u**2 + 11. Calculate 6*i(l) + 11*n(l). l**2 Let n(j) = 6*j**2. Suppose -2*r + 5*i - 137 = -3*r, 0 = -2*r - i + 310. Let d(t) = -r*t + 157*t + t**2. Calculate -14*d(b) + 2*n(b). -2*b**2 Suppose -56*r + 47*r - 18 = 0. Let f(k) = -8*k + 1. Let o(w) = -16*w + 2. What is r*o(m) + 5*f(m)? -8*m + 1 Let p(t) = 5*t + 3. Let q(m) = -2*m - 2. Suppose 0 = 11*j + 37 - 81. Give j*p(b) + 9*q(b). 2*b - 6 Let f(o) = -9*o + 3. Let m(s) = 1. Suppose 11*k = -341 + 385. What is k*m(j) - f(j)? 9*j + 1 Suppose 3*d - 180 = -3*z, -3*d = -z + d + 80. Let l = -63 + z. Let k(w) = w**3 + w**2 + 1. Let g(m) = -4*m**2 - m**3 + m**2 + 4*m**2. Determine l*g(t) - k(t). -2*t**3 - 1 Let t be ((40/(-15))/1)/((-18)/27). Let r(n) = -6*n - 3. Let x(z) = -17*z - 8. Determine t*x(f) - 11*r(f). -2*f + 1 Let c(s) = -22*s**2 - s - 2. Let z(r) = 2*r**2. Determine c(g) + 2*z(g). -18*g**2 - g - 2 Let m(i) = -i. Let b(l) = -8 + 6*l - 3 + 15 + 0. Give b(r) + 4*m(r). 2*r + 4 Let n(k) = -k - 2. Let z = 17 - 24. Let b(v) = 4*v - 2. Let u(r) = 3*r - 2. Let q(a) = 4*b(a) - 5*u(a). Determine z*n(p) - 6*q(p). p + 2 Suppose 2*w + 128*m - 10 = 127*m, -2 = -m. Let v(i) = i + 2. Let n(f) = 4 + 0*f + 3*f + 2. Determine w*n(l) - 11*v(l). l + 2 Let d(h) = h**2 - h + 1. Let m(v) = 1288*v**2 - 5*v + 5. Calculate -5*d(y) + m(y). 1283*y**2 Let i(g) = -8*g + 6. Suppose 2*k - k = 5. Let j(s) = -s + 1. Determine k*j(a) - i(a). 3*a - 1 Let f(y) = -20*y**2 + 16*y + 4. Let c(d) = 9*d**2 - 7*d - 2. Let i(z) = -13*c(z) - 6*f(z). Let s(w) = -w**2 + 2*w - 1. What is 2*i(n) + 5*s(n)? n**2 - 1 Let v(h) = -20*h + 29. Let d(w) = -57*w + 86. Determine -6*d(x) + 17*v(x). 2*x - 23 Let f(d) be the third derivative of -5*d**3/6 + d**2. Let z(k) = 93687*k - 187374*k + 93686*k - 1. What is f(t) - 3*z(t)? 3*t - 2 Let t(i) = -4*i**2 - 3*i + 3. Suppose -384 = 2*p - 482. Let a(b) = -63*b**2 - 49*b + 49. Calculate p*t(q) - 3*a(q). -7*q**2 Let p(k) = 4 + 4 + 6 - 9. Let w(h) = -2*h - 20. Calculate -20*p(n) - 5*w(n). 10*n Let i(l) = 7*l**2 + l - 9. Suppose 4*k - 2*c + 12 = 0, -k - 5*c + 6*c - 1 = 0. Let x(m) = -4*m**2 - m + 5. Determine k*x(w) - 3*i(w). -w**2 + 2*w + 2 Let w(h) = -8*h**3 - 5*h**2 - 11. Let j(q) = -1. Let m(v) = 6*j(v) - w(v). Let p(x) = x**3 - 6 + 0 + 3*x**3 - 13*x**3 - 6*x**2. Give 6*m(d) + 5*p(d). 3*d**3 Let c(l) = -4*l**3 + 2*l - 1. Let u(p) = 5*p**3 + p**2 - 3*p + 1. Let y = 86 - 91. Let z be (-5)/y - (-5)/(20/(-16)). Give z*c(k) - 2*u(k). 2*k**3 - 2*k**2 + 1 Let v(d) = -1. Let k(n) = n + 3. Let u(g) = k(g) + 3*v(g). Let p(r) = -6*r. Let w(h) = 14*h + 169. Let l be w(-12). Determine l*p(b) + 4*u(b). -2*b Let d(x) = 44*x**2 + 3. Let l(u) = -176*u**2 + u - 13. Give 9*d(k) + 2*l(k). 44*k**2 + 2*k + 1 Let u(c) = 133*c - 2. Let h(o) = -127*o + 2. Determine 4*h(r) + 3*u(r). -109*r + 2 Let i(q) = -1. Let l(v) = -38*v - 4. Determine -5*i(s) + l(s). -38*s + 1 Suppose -11*o = -36*o - 800. Let u(q) = 240*q**3 - 32*q**2 + 32*q - 32. Let h(g) = -37*g**3 + 5*g**2 - 5*g + 5. What is o*h(t) - 5*u(t)? -16*t**3 Let f(m) = -26*m**3 + 15*m + 13. Let h(x) = 13*x**3 - 7*x - 6. Determine 4*f(c) + 9*h(c). 13*c**3 - 3*c - 2 Let k(p) = 28*p**2 + 2*p + 18. Let t(n) = n + 2. Calculate -k(u) + 3*t(u). -28*u**2 + u - 12 Let n(u) = u**2 + u + 1. Let i(r) = 15*r - 10*r - 3*r - 7*r + 6 + 4*r**2 + r**2. Give i(z) - 4*n(z). z**2 - 9*z + 2 Let p(a) = -13*a**2 - 4*a - 24. Let w(l) = 28*l**2 + 12*l + 49. Calculate -13*p(q) - 6*w(q). q**2 - 20*q + 18 Let g(v) = -1 + 399*v - 391*v + 4. Let o(y) = 23*y + 8. What is -17*g(m) + 6*o(m)? 2*m - 3 Let n(l) = -13*l + 206. Let u(t) = -42*t + 618. What is -16*n(h) + 5*u(h)? -2*h - 206 Suppose -5*o + 11 = 1, -1 = u - o. Let l(m) = m. Let f(r) = 17. Calculate u*f(i) - 2*l(i). -2*i + 17 Let j(l) = l**3 + l**2 + 4*l + 1. Let t(m) = -m**3 + m**2 + 4*m - 80. Determine j(q) - t(q). 2*q**3 + 81 Let y(q) = 3*q**2 + 3*q + 54. Let k(r) = r**2 - r - 1. Give k(g) + y(g). 4*g**2 + 2*g + 53 Let o(t) = 9*t + 6. Let l(s) = 31 - 95 + 33 + 32. Give 6*l(z) - o(z). -9*z Let o(m) = -5*m**3 - 7*m**2 + 122*m + 6. Let x(u) = -u**3 - u**2 + 1. What is o(j) - 6*x(j)? j**3 - j**2 + 122*j Let t(v) = 7*v + 4*v - 7 - 7*v + 3. Let n be (-1)/((-22)/10 + 2). Let b(c) = 7*c - 7. Let j = 2 + -5. Calculate j*b(p) + n*t(p). -p + 1 Let m(w) = 3*w**2 - w - 4. Let c(l) = -5. Let k(j) = -21. Let i(h) = -4*c(h) + k(h). Determine 4*i(t) - m(t). -3*t**2 + t Let t(s) = 14*s**2 - 2*s - 2. Let c(m) = -42*m**2 + 7*m + 7. Let l(a) = a**3 + 30*a**2 + 25*a - 114. Let v be l(-29). Determine v*c(x) + 7*t(x). 14*x**2 Let g be (-28)/3*63/(-147). Let q(r) = -5*r - 5. Let y(j) = -j. Give g*y(o) - q(o). o + 5 Let l(j) = -18*j**2 - 12*j + 10. Let y(h) = -19*h**2 - 13*h + 12. Give 6*l(d) - 5*y(d). -13*d**2 - 7*d Let w(h) = -2*h**3 + 3*h**2 - 9*h + 4. Let n(f) = 3*f**3 - 4*f**2 + 9*f - 2. Determine -3*n(b) - 4*w(b). -b**3 + 9*b - 10 Let z(u) = 1. Let h(y) = 3*y - 22. Let s(l) = -2*l + 10. Let i(d) = -4*h(d) - 9*s(d). Determine -i(q) - 3*z(q). -6*q - 1 Let x(w) = -w**3 + w**2 + w. Let m(f) = -7*f**3 - 4 + 3*f - 4 + 2*f**2 + 8. Let s be (1 + 15/(-6))/(6/16). Give s*x(u) + m(u). -3*u**3 - 2*u**2 - u Let o(f) = 4*f**2 - f + 1. Let k(q) = 27*q**2 - 16*q + 8. Calculate k(t) - 5*o(t). 7*t**2 - 11*t + 3 Let j = 20 + -17. Let f(l) = 2 - 3*l - l - 6 - j*l**2 - l. Let u(s) = 9*s**2 + 14*s + 11. Let z = 0 - -11. Determine z*f(n) + 4*u(n). 3*n**2 + n Let y(g) = -g - 23. Let f(i) = -2*i - 47. Give 3*f(l) - 5*y(l). -l - 26 Let j(b) = 9*b - 15. Let n(z) = 14*z - 22. Suppose 49 + 6 = 11*p. Give p*n(s) - 8*j(s). -2*s + 10 Let f(l) = l + 3. Let c(p) = -2*p - 5 + p - 2 + 1 + 5. Suppose 4*u = q - 7, -4*q - 33 - 2 = 5*u. Calculate u*c(y) - f(y). 2*y Let b(o) = 2*o + 13. Let u(w) = w + 9. Let m(c) = -2*b(c) + 3*u(c). Let d(a) = 2*a**3 + 10*a - 3. Calculate d(r) + 4*m(r). 2*r**3 + 6*r + 1 Let d(a) = 12*a**2 - 4*a + 4. Suppose -36*x = -67*x + 155. Let i(c) = 12*c**2 - 5*c + 5. Calculate x*d(o) - 4*i(o). 12*o**2 Let i(r) = -r**3 + 1. Let u(g) = -3*g**3 - g + 2. Let c be (-92)/276 - (-7)/3. Let y = -5 + 7. Suppose v = 1 - y. Give c*i(x) + v*u(x). x**3 + x Let r(f) = 24*f**3 - 2*f + 3. Let z(g) = -23*g**3 + 2*g - 4. What is -4*r(y) - 3*z(y)? -27*y**3 + 2*y Let u(j) be the first derivative of -j**2/2 + j + 150. Let k = 14 + -8. Let a(h) = -8*h + 6. What is k*u(p) - a(p)? 2*p Let h(x) be the third derivative of -x**4/24 - 14*x**2. Suppose 11*q - 4 = 7. Let p(a) = -6*a + a + a - 1. Calculate q*p(g) - 5*h(g). g - 1 Let i(r) = 2*r**3 + 2*r**2 - 2*r - 130. Let s(a) = a**2 - a - 1. Determine i(l) - 2*s(l). 2*l**3 - 128 Let z(a) = -462*a - 7. Let d(x) = -460*x - 6. Determine -5*d(f) + 4*z(f). 452*f + 2 Let p(x) = x + 1. Let v(m) = 4*m - 7. Let f(h) = 9 - 1 - 2*h - 3*h. Suppose 10 = -t + 4. Let i(n) = t*f(n) - 7*v(n). Give 3*i(y) - 3*p(y). 3*y Let u(m) = -m**2 + m + 2. Let w(y) = y**2 - y - 6. Suppose -7 = 5*k - 2. Let s(v) = -1. Let t(p) = k*w(p) + 6*s(p). Calculate -3*t(i) + u(i). 2*i**2 - 2*i + 2 Let f(o) = -o + 1. Let g(x) = -2 - 3 - 204*x**2 + 2*x**3 + 4*x + 204*x**2. Determine -4*f(y) - g(y). -2*y**3 + 1 Let y(x) = x. Let r(b) = -b**2 + 5*b + 2. Let d = -68 - -113. Let f = 44 - d. Calculate f*r(c) + 4*y(c). c**2 - c - 2 Let i(j) = -8 - j**3 + 10 + 6*j**2 - 4*j**2. Suppose 0*b = -b. Let t(a) = -3*a**2 - 2 + b*a**3 + 2*a**3 - 1. What is 3*i(f) + 2*t(f)? f**3 Let j(x) = -4*x**3 + 2*x**2 + 3*x - 57. Let d(v) = 6*v**3 - 3*v**2 - 5*v + 114. Give 3*d(p) + 5*j(p). -2*p**3 + p**2 + 57 Let t(a) = 16*a - 37. Let n(w) = -24*w + 52. Let u(z) = 5*n(z) + 7*t(z). Let l(x) = 7*x - 1. Determine -6*l(v) - 5*u(v). -2*v + 1 Let b(r) = r - 8. Let k be b(6). Let o(w) be the third derivative of -w**4/12 - w**3/6 + 2*w**2. Let t(p) = -p**2 + 5*p + 2. What is k*t(u) - 5*o(u)? 2*u**2 + 1 Let i(f) be the second derivative of f**4/2 - f**3/3 + 2*f**2 -
{ "pile_set_name": "DM Mathematics" }
remainder when 249 is divided by 14? 11 What is the remainder when 1240 is divided by 205? 10 Calculate the remainder when 1154 is divided by 53. 41 What is the remainder when 121 is divided by 41? 39 What is the remainder when 599 is divided by 32? 23 What is the remainder when 248 is divided by 78? 14 Calculate the remainder when 3823 is divided by 15. 13 Calculate the remainder when 16 is divided by 3. 1 What is the remainder when 94 is divided by 50? 44 What is the remainder when 4239 is divided by 80? 79 Calculate the remainder when 18829 is divided by 88. 85 Calculate the remainder when 7204 is divided by 55. 54 Calculate the remainder when 433 is divided by 110. 103 Calculate the remainder when 1467 is divided by 11. 4 Calculate the remainder when 4712 is divided by 262. 258 Calculate the remainder when 95 is divided by 55. 40 What is the remainder when 671 is divided by 7? 6 What is the remainder when 43 is divided by 17? 9 Calculate the remainder when 393 is divided by 388. 5 Calculate the remainder when 75 is divided by 25. 0 Calculate the remainder when 146 is divided by 31. 22 Calculate the remainder when 5117 is divided by 5. 2 Calculate the remainder when 313 is divided by 106. 101 What is the remainder when 5614 is divided by 144? 142 What is the remainder when 444 is divided by 15? 9 What is the remainder when 174 is divided by 87? 0 Calculate the remainder when 442 is divided by 6. 4 Calculate the remainder when 17 is divided by 17. 0 Calculate the remainder when 1750 is divided by 73. 71 What is the remainder when 22361 is divided by 209? 207 Calculate the remainder when 7651 is divided by 24. 19 What is the remainder when 46 is divided by 15? 1 Calculate the remainder when 695 is divided by 12. 11 What is the remainder when 2869 is divided by 2850? 19 Calculate the remainder when 19 is divided by 16. 3 What is the remainder when 58 is divided by 38? 20 Calculate the remainder when 15 is divided by 10. 5 Calculate the remainder when 606 is divided by 61. 57 What is the remainder when 8251 is divided by 24? 19 What is the remainder when 89 is divided by 23? 20 What is the remainder when 54 is divided by 28? 26 Calculate the remainder when 5756 is divided by 320. 316 Calculate the remainder when 273 is divided by 25. 23 Calculate the remainder when 13502 is divided by 64. 62 Calculate the remainder when 216 is divided by 70. 6 Calculate the remainder when 71 is divided by 13. 6 What is the remainder when 85 is divided by 48? 37 Calculate the remainder when 463 is divided by 96. 79 What is the remainder when 1037 is divided by 20? 17 What is the remainder when 25 is divided by 7? 4 Calculate the remainder when 738 is divided by 13. 10 What is the remainder when 404 is divided by 105? 89 Calculate the remainder when 101 is divided by 5. 1 Calculate the remainder when 397 is divided by 40. 37 What is the remainder when 2698 is divided by 25? 23 What is the remainder when 2879 is divided by 43? 41 Calculate the remainder when 654 is divided by 11. 5 What is the remainder when 216 is divided by 2? 0 What is the remainder when 2249 is divided by 23? 18 What is the remainder when 792 is divided by 109? 29 Calculate the remainder when 187 is divided by 19. 16 Calculate the remainder when 83 is divided by 7. 6 What is the remainder when 860 is divided by 110? 90 What is the remainder when 26022 is divided by 25? 22 What is the remainder when 578 is divided by 191? 5 What is the remainder when 1153 is divided by 76? 13 Calculate the remainder when 68 is divided by 57. 11 Calculate the remainder when 1154 is divided by 22. 10 What is the remainder when 720 is divided by 92? 76 What is the remainder when 3664 is divided by 49? 38 Calculate the remainder when 2576 is divided by 76. 68 What is the remainder when 2766 is divided by 213? 210 What is the remainder when 1303 is divided by 30? 13 Calculate the remainder when 3876 is divided by 393. 339 What is the remainder when 113 is divided by 64? 49 What is the remainder when 3535 is divided by 1176? 7 Calculate the remainder when 1387 is divided by 60. 7 What is the remainder when 4357 is divided by 15? 7 What is the remainder when 77 is divided by 16? 13 Calculate the remainder when 2291 is divided by 12. 11 Calculate the remainder when 1428 is divided by 27. 24 Calculate the remainder when 3037 is divided by 38. 35 Calculate the remainder when 287 is divided by 18. 17 What is the remainder when 999 is divided by 330? 9 Calculate the remainder when 171 is divided by 47. 30 What is the remainder when 115 is divided by 20? 15 What is the remainder when 31 is divided by 5? 1 What is the remainder when 361 is divided by 123? 115 Calculate the remainder when 332 is divided by 87. 71 What is the remainder when 2075 is divided by 20? 15 Calculate the remainder when 74 is divided by 25. 24 Calculate the remainder when 42 is divided by 14. 0 Calculate the remainder when 84 is divided by 56. 28 What is the remainder when 1362 is divided by 171? 165 Calculate the remainder when 2738 is divided by 33. 32 What is the remainder when 560 is divided by 188? 184 Calculate the remainder when 575 is divided by 12. 11 Calculate the remainder when 248 is divided by 10. 8 What is the remainder when 458 is divided by 29? 23 Calculate the remainder when 2136 is divided by 10. 6 What is the remainder when 874 is divided by 13? 3 Calculate the remainder when 66 is divided by 20. 6 Calculate the remainder when 147 is divided by 19. 14 What is the remainder when 916 is divided by 54? 52 Calculate the remainder when 42 is divided by 24. 18 Calculate the remainder when 57 is divided by 31. 26 Calculate the remainder when 609 is divided by 298. 13 What is the remainder when 453 is divided by 146? 15 Calculate the remainder when 120 is divided by 112. 8 What is the remainder when 739 is divided by 26? 11 Calculate the remainder when 185 is divided by 59. 8 Calculate the remainder when 495 is divided by 96. 15 Calculate the remainder when 108 is divided by 43. 22 What is the remainder when 440 is divided by 57? 41 What is the remainder when 1992 is divided by 7? 4 Calculate the remainder when 125 is divided by 68. 57 What is the remainder when 192 is divided by 17? 5 What is the remainder when 1608 is divided by 274? 238 Calculate the remainder when 1702 is divided by 155. 152 Calculate the remainder when 278 is divided by 28. 26 Calculate the remainder when 100 is divided by 17. 15 Calculate the remainder when 1556 is divided by 16. 4 What is the remainder when 1486 is divided by 93? 91 What is the remainder when 475 is divided by 30? 25 What is the remainder when 42 is divided by 13? 3 Calculate the remainder when 167 is divided by 30. 17 What is the remainder when 139 is divided by 33? 7 Calculate the remainder when 1024 is divided by 114. 112 What is the remainder when 439 is divided by 21? 19 Calculate the remainder when 104 is divided by 27. 23 What is the remainder when 448 is divided by 116? 100 Calculate the remainder when 3183 is divided by 6. 3 Calculate the remainder when 792 is divided by 54. 36 Calculate the remainder when 166 is divided by 62. 42 Calculate the remainder when 241 is divided by 199. 42 Calculate the remainder when 42 is divided by 10. 2 Calculate the remainder when 1162 is divided by 12. 10 Calculate the remainder when 20122 is divided by 13. 11 Calculate the remainder when 41 is divided by 22. 19 Calculate the remainder when 8053 is divided by 19. 16 What is the remainder when 4318 is divided by 45? 43 What is the remainder when 164 is divided by 65? 34 Calculate the remainder when 992 is divided by 314. 50 What is the remainder when 98 is divided by 25? 23 Calculate the remainder when 1897 is divided by 312. 25 Calculate the remainder when 245 is divided by 17. 7 Calculate the remainder when 90 is divided by 39. 12 Calculate the remainder when 320 is divided by 52. 8 What is the remainder when 1701 is divided by 11? 7 Calculate the remainder when 259 is divided by 20. 19 Calculate the remainder when 153 is divided by 67. 19 What is the remainder when 5211 is divided by 66? 63 Calculate the remainder when 161 is divided by 57. 47 What is the remainder when 234 is divided by 20? 14 Calcul
{ "pile_set_name": "DM Mathematics" }
) + 3. 3 + 2*sqrt(17) Simplify (sqrt(7) + -6*sqrt(448) - (sqrt(28) + sqrt(28)*5))**2. 24367 Simplify ((sqrt(2) + 1 + sqrt(2))*1 + 2 + sqrt(32) + 1 + sqrt(96)/sqrt(3))**2. 80*sqrt(2) + 216 Simplify (sqrt(1872) + -2 + sqrt(1872) - sqrt(1872))*2 + sqrt(1872) + (5*sqrt(1872)*-3 - sqrt(1872)) + sqrt(1872). -144*sqrt(13) - 4 Simplify sqrt(288) + (sqrt(288) - ((sqrt(288) - (4*sqrt(288) + sqrt(288))) + 2)**2) + sqrt(288) + 3. -4609 + 228*sqrt(2) Simplify 6*(sqrt(3)*-2 + -4). -24 - 12*sqrt(3) Simplify (sqrt(119) - (sqrt(119) + (sqrt(119) - (sqrt(119) + -1*sqrt(119)))))/sqrt(7)*5 + -2. -5*sqrt(17) - 2 Simplify (1 + sqrt(612))**2 + sqrt(17) + 2. 13*sqrt(17) + 615 Simplify 3*sqrt(19)*3 - (sqrt(304) + -3). 3 + 5*sqrt(19) Simplify (sqrt(65)*1)/sqrt(5) - sqrt(13) - (-1 + sqrt(1872) - sqrt(1872)). 1 Simplify sqrt(10)/(-2*sqrt(18)). -sqrt(5)/6 Simplify (6*sqrt(5)*1 + 4 + sqrt(5) + sqrt(25)/sqrt(5))**2. 64*sqrt(5) + 336 Simplify sqrt(10)/(-2*sqrt(5)*-6). sqrt(2)/12 Simplify ((sqrt(156)*-2 + sqrt(156))*3)/((sqrt(120)*-1 - sqrt(120))/sqrt(10)). 3*sqrt(13)/2 Simplify (sqrt(1008) + -1 + sqrt(1008) + sqrt(1008) + -3)**2 + (sqrt(847) - (-1*sqrt(847))**2) + 2. -277*sqrt(7) + 8243 Simplify (sqrt(18)/sqrt(27))/sqrt(3). sqrt(2)/3 Simplify sqrt(931)*2 + -3. -3 + 14*sqrt(19) Simplify (sqrt(60)/(sqrt(12)*-1))**2 + 4. 9 Simplify (4*-4*1*sqrt(99))**2. 25344 Simplify (4*sqrt(76) - sqrt(76))/sqrt(4)*-6. -18*sqrt(19) Simplify ((-2*sqrt(52) + sqrt(52) + -4)*-2)**2. 64*sqrt(13) + 272 Simplify sqrt(35)/(-1*sqrt(80)) - ((sqrt(42)/(sqrt(18)/sqrt(3) + sqrt(6)) - sqrt(7)) + -2). sqrt(7)/4 + 2 Simplify (-6*(sqrt(405) + -1)*-4)**2. -10368*sqrt(5) + 233856 Simplify sqrt(70)/(5*sqrt(10)*1). sqrt(7)/5 Simplify (sqrt(63) - (sqrt(63) - (sqrt(63) + (sqrt(63) - -1*sqrt(4032)))))/(-5*sqrt(9)*2). -sqrt(7) Simplify (sqrt(264)/sqrt(12))/sqrt(11) + sqrt(1210)/sqrt(5). 12*sqrt(2) Simplify -3*(0 + sqrt(2)) + sqrt(16)/sqrt(8) + 3. -2*sqrt(2) + 3 Simplify (sqrt(162)*1 - 3*sqrt(6)/sqrt(3))**2. 72 Simplify ((2*sqrt(21) + sqrt(21))*2)/(sqrt(77)/(sqrt(11)*1)). 6*sqrt(3) Simplify ((-1 + sqrt(1100)*-4)*-4)**2. 1280*sqrt(11) + 281616 Simplify (2*2*sqrt(110))/(sqrt(10) - (sqrt(10) + (sqrt(10) + sqrt(40)/sqrt(4))*1) - sqrt(10)). -4*sqrt(11)/3 Simplify 5 + (sqrt(2448)*-2)**2 + 2. 9799 Simplify sqrt(75) + 2 + -1*sqrt(15)/sqrt(5). 2 + 4*sqrt(3) Simplify sqrt(70)/(sqrt(10) - (sqrt(160) + sqrt(10)))*1 - (1 + sqrt(378)/sqrt(6)). -13*sqrt(7)/4 - 1 Simplify sqrt(38)/(-2*sqrt(2)) + (sqrt(19) - ((sqrt(57)/sqrt(3))**2 + -1)). -18 + sqrt(19)/2 Simplify 1*(4 + sqrt(320)) + sqrt(320). 4 + 16*sqrt(5) Simplify 3*(2*sqrt(11) - sqrt(11)) - (-1 + sqrt(99)/sqrt(9)). 1 + 2*sqrt(11) Simplify ((sqrt(171)*4*-3)/sqrt(9))**2. 2736 Simplify (sqrt(11) - (sqrt(88) - (sqrt(88) + (sqrt(88) - sqrt(88)*2)) - sqrt(88))/sqrt(8))**2 + -4. 7 Simplify (((sqrt(1080) - sqrt(30) - sqrt(30))/sqrt(3))/(sqrt(8)*3 + sqrt(8) - sqrt(2)))**2. 80/49 Simplify ((sqrt(756) - (sqrt(756) + sqrt(756)*-1 - sqrt(756)))/((sqrt(300) - (sqrt(300)*-2 + sqrt(300) + sqrt(300))) + sqrt(300)))**2. 63/25 Simplify (-2*sqrt(243) - sqrt(27)*1)*2. -42*sqrt(3) Simplify 5 + sqrt(11) + -5 + (sqrt(11) + sqrt(11)*-1)**2 + sqrt(11). 2*sqrt(11) Simplify (-6*(1*sqrt(13) + 3))**2. 216*sqrt(13) + 792 Simplify -5*(sqrt(1377) + (-3*sqrt(1377) - sqrt(1377)))**2. -61965 Simplify -2 + 4*((sqrt(500) + -1*-1*sqrt(500))**2 + sqrt(500)). 40*sqrt(5) + 7998 Simplify sqrt(51)/(-1*sqrt(3)) - (1 + (sqrt(17) + -3)**2). -27 + 5*sqrt(17) Simplify 1 + 3*(1 + sqrt(637) + sqrt(637))*-3. -126*sqrt(13) - 8 Simplify (((sqrt(102)*3 + sqrt(102) - sqrt(102)) + sqrt(102))*6)/(sqrt(6) + sqrt(600)*-3). -24*sqrt(17)/29 Simplify (sqrt(343)*-2 + -1)*4. -56*sqrt(7) - 4 Simplify (((sqrt(153) - 1*sqrt(153))/sqrt(9) - -2*sqrt(833))*4)**2. 53312 Simplify (sqrt(45)/sqrt(3)*-1)/(-2*sqrt(10)/sqrt(2)). sqrt(3)/2 Simplify -2 + sqrt(110)/(sqrt(10)*-3). -2 - sqrt(11)/3 Simplify 0 + sqrt(175) + -2 + -5. -7 + 5*sqrt(7) Simplify ((sqrt(396) + -1*sqrt(396))*-3*5)**2. 0 Simplify 3 + -2*sqrt(243). -18*sqrt(3) + 3 Simplify (sqrt(272) - (sqrt(272) + 3))**2*-6*4. -216 Simplify (sqrt(405) + 5*(-1 + sqrt(405)))**2 - (sqrt(5) - 2*sqrt(80))**2*6. -540*sqrt(5) + 13135 Simplify ((sqrt(539) + 0)*-1)**2 + 0. 539 Simplify ((sqrt(136)/(-1*sqrt(8)) - sqrt(17)) + 2)**2 + -3*((-1*sqrt(102) - sqrt(102))/sqrt(6) - sqrt(17) - sqrt(17)). 4*sqrt(17) + 72 Simplify 5*(-5 + sqrt(18)/(-1*(sqrt(6) - (sqrt(30)/sqrt(5) + sqrt(6))))). -25 + 5*sqrt(3) Simplify ((-2 + sqrt(1700))*5)**2 + -1. -1000*sqrt(17) + 42599 Simplify -1*((-3 + 1*sqrt(11) + 2)*4)**2. -192 + 32*sqrt(11) Simplify (2 + 2 + sqrt(128) + sqrt(128))**2. 128*sqrt(2) + 528 Simplify ((sqrt(12)*-2)/sqrt(3))/(-2*sqrt(72)). sqrt(2)/6 Simplify sqrt(35)/(sqrt(448)*-2 - sqrt(448)). -sqrt(5)/24 Simplify (-5 + sqrt(14)/(sqrt(8)/sqrt(4)))*-3. -3*sqrt(7) + 15 Simplify (1 + -2*sqrt(2))**2 + sqrt(16)/sqrt(32) - (sqrt(1800)*-2 - sqrt(50)). 9 + 123*sqrt(2)/2 Simplify (sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*2*1)) + sqrt(320))**2. 0 Simplify -3*((sqrt(2736)*2)**2 + -4). -32820 Simplify sqrt(1872) + -2 + sqrt(1872) - (sqrt(208)*5)**2. -5202 + 24*sqrt(13) Simplify 4 + (sqrt(343) + (sqrt(343) + -2 - sqrt(343)) + sqrt(343))*2. 28*sqrt(7) Simplify (sqrt(112))**2*3 + sqrt(112)*6. 24*sqrt(7) + 336 Simplify (-5*-1*sqrt(75))**2*2. 3750 Simplify (-2*sqrt(68) + sqrt(153) + 1)**2. -2*sqrt(17) + 18 Simplify sqrt(66)/(sqrt(6)*3) + sqrt(11) + 4. 4 + 4*sqrt(11)/3 Simplify -5*sqrt(30)/(sqrt(24)/sqrt(4)). -5*sqrt(5) Simplify 3*(-3 + sqrt(2)) - ((sqrt(32))**2 + 0). -41 + 3*sqrt(2) Simplify (sqrt(567) + 0 + -5)**2 + (sqrt(567) - ((3*sqrt(567) - sqrt(567))*-6)**2). -81056 - 81*sqrt(7) Simplify 5 + ((6*sqrt(168) - sqrt(168) - sqrt(168))/sqrt(6) - sqrt(28))/sqrt(4). 5 + 3*sqrt(7) Simplify (-6*(-1 + (sqrt(16)/sqrt(8) - sqrt(2)))*-6)**2. 1296 Simplify sqrt(50)*1 - ((-1 + sqrt(2))*3)**2. -27 + 23*sqrt(2) Simplify ((sqrt(1100))**2 + -1)*6. 6594 Simplify ((0 + sqrt(32))*-4)**2. 512 Simplify (-4*sqrt(78)/sqrt(6) + sqrt(13) + (sqrt(117)*-2)/sqrt(9))**2. 325 Simplify (sqrt(180)/sqrt(3)*-3)/(sqrt(12) - (-2*sqrt(192) - sqrt(192))). -3*sqrt(5)/13 Simplify (3 + (sqrt(272) - (sqrt(272) + (sqrt(272) - (sqrt(272) + 2 + sqrt(272) + sqrt(272)))*-3)))**2. 144*sqrt(17) + 9801 Simplify 1*(-4*sqrt(3)*-2 + sqrt(3) + -3). -3 + 9*sqrt(3) Simplify (sqrt(66) + -2*sqrt(66)*2)/(sqrt(6) - (sqrt(864)*-2 - sqrt(6)))*-2. 3*sqrt(11)/13 Simplify ((sqrt(143) - sqrt(143)*2)*-1 + sqrt(143))/((sqrt(11) - (sqrt(539) + sqrt(11)) - sqrt(11))*5). -sqrt(13)/20 Simplify (1*sqrt(72) + 5)**2. 60*sqrt(2) + 97 Simplify ((sqrt(100)*-2)/sqrt(10))/(sqrt(45)*-3). 2*sqrt(2)/9 Simplify (sqrt(75) + 4)**2*-2. -182 - 80*sqrt(3) Simplify 1*((sqrt(2448) - (sqrt(2448) - -1*sqrt(2448))) + sqrt(2448))**2 + 3*sqrt(2448) + sqrt(2448) + 0. 48*sqrt(17) Simplify 4*(sqrt(11) - sqrt(44))*3 + 2. -12*sqrt(11) + 2 Simplify -4 + -1*(3 + sqrt(5) + sqrt(5)). -7 - 2*sqrt(5) Simplify (1*sqrt(650))/(sqrt(98) + sqrt(98)*-1 + sqrt(98)). 5*sqrt(13)/7 Simplify -2*sqrt(704)/sqrt(4) + -1*sqrt(77)/(sqrt(14)/sqrt(2)). -9*sqrt(11) Simplify (6*(-2 + (sqrt(84)/(sqrt(12)*2) - sqrt(7))))**2. 72*sqrt(7) + 207 Simplify (sqrt(88) + -3*sqrt(88)*2)/sqrt(8) + -5. -5*sqrt(11) - 5 Simplify ((3*-3*sqrt(136) - sqrt(136) - sqrt(136))/(sqrt(56)/sqrt(7)*2))**2. 2057/4 Simplify (4 + (-1 + sqrt(475) + sqrt(475))**2 + sqrt(475) - sqrt(475)) + sqrt(475). -15*sqrt(19) + 1905 Simplify (0 + sqrt(833) + 1)**2. 14*sqrt(17) + 834 Simplify ((sqrt(20) + sqrt(20)*-1)*-6*-2)**2. 0 Simplify (-2*sqrt(91)*-5 - sqrt(91))/((sqrt(84) + (sqrt(84) - -2*sqrt(84)))/sqrt(12)). 9*sqrt(13)/4 Simplify (-3*-1*sqrt(114) + sqrt(114))/(1*sqrt(96)) + 5. sqrt(19) + 5 Simplify (4*(0 + sqrt(13)) - (-2 + sqrt(13) + 0))**2. 12*sqrt(13) + 121 Simplify sqrt(190)/(1*sqrt(1210))*-2. -2*sqrt(19)/11 Simplify sqrt(175) + (sqrt(175) - ((2 + sqrt(175) + 1)**2 + sqrt(175))) + 2*sqrt(175) + 4. -180 - 15*sqrt(7) Simplify -3*5*sqrt(12)/sqrt(4). -15*sqrt(3) Simplify ((sqrt(330)/sqrt(6))/sqrt(5) + 1 + sqrt(1331))**2. 24*sqrt(11) + 1585 Simplify 5 + (sqrt(99) - (sqrt(99)*2)**2) - (sqrt(4400) + sqrt(4400)*2). -391 - 57*sqrt(11) Simplify (sqrt(10)/(sqrt(45)/(sqrt(36)/sqrt(4))))**2. 2 Simplify ((sqrt(240)*-1)/sqrt(8))/(sqrt(70)/(sqrt(7)*2)). -2*sqrt(3) Simplify (sqrt(76) + 3*sqrt(76)*3)/((s
{ "pile_set_name": "DM Mathematics" }
(3 + 2 - 7)*(3*i + 2*i - 4*i) + 6*i - 21*i + 35*i + 0*i - 4*i + 3*i in the form z*i + h and give z. 17 Rearrange (4 + 2 - 3 + 2 - 1 - 2 + 1 - 1 + 1 + (0 - 1 - 1)*(-3 - 1 + 3))*(-12*m - 6*m + 10*m) to the form k*m + j and give k. -40 Rearrange (4 + 0 + 0)*(6 - 6*g - 6)*(-3 + 0 + 5) to the form k + v*g and give v. -48 Rearrange 30*q - q**4 - 15*q - q**4 - 16*q - 8*q**3 + 2 to the form p + s*q + c*q**2 + k*q**3 + v*q**4 and give s. -1 Express -5 - 4*c**2 + 3*c**2 - 2 in the form h + k*c**2 + f*c and give k. -1 Rearrange -1 - 77*n**2 - 2*n**4 - n + n**3 + 80*n**2 - n to the form f + b*n**4 + j*n + z*n**2 + r*n**3 and give z. 3 Express (-2 + 3 - 4)*((-o - o + 3*o)*(-3 + 0 + 4) - 1 - 2*o + 1 + 2*o + 0 + 0 + o - 2*o + 3*o) as t + n*o and give t. 0 Rearrange (0 + 4 - 3)*(-2 - 4 + 2)*(2*m - 9*m + 0*m) to h + b*m and give b. 28 Express 20*m**3 - 7*m**3 + 5*m - 4*m in the form p*m + a + t*m**2 + o*m**3 and give o. 13 Rearrange 8*z**2 + z**3 - 9*z**2 + 6*z**2 + 4*z**2 - 2 to the form o + u*z**2 + h*z + w*z**3 and give w. 1 Express (0 - 2*c + 0)*(c**2 - 5*c**2 + 5*c**2) + 8*c**3 - 6*c**3 - 37*c**3 as b*c + q*c**2 + z + n*c**3 and give n. -37 Express (2*v + v - 5*v)*(1 - 1 + 2) + 3 - 2*v - 3 + 0 + 2*v + 0 + 3 + 3*v - 3 in the form k*v + f and give k. -1 Rearrange (3 - 4 + 3)*(-34*s + 9*s - 10*s)*(-1 - s + 1) to i*s + r*s**2 + g and give r. 70 Rearrange (-7 + 8 + 11)*((2 + 2 - 5)*(3*j + j - 3*j) + 2 - 2*j - 2 + 4*j - j - 2*j) to n*j + y and give n. -24 Express 5*v**3 - 13*v - 7*v + 21*v + 9*v**3 in the form c + k*v + a*v**2 + i*v**3 and give k. 1 Rearrange -289 - 52*j**2 + 289 to the form b + z*j**2 + o*j and give z. -52 Express -67*c - 57*c + 62*c - 75*c as f + n*c and give n. -137 Express 0*v**4 + 5 - v**4 + 4 + 3*v**4 + 2*v**3 in the form z + o*v**3 + u*v + c*v**4 + h*v**2 and give o. 2 Express (-72 + 72 + 15*q)*(2*q**2 - 5*q**2 + 2*q**2) + (2*q + 4 - 4)*(-3*q**2 - 3*q + 3*q) in the form z*q**2 + a*q**3 + u*q + l and give a. -21 Rearrange (3*s**2 - 2*s**2 - 2*s**2)*(-8*s - 28*s + s) to p*s**3 + h + k*s + i*s**2 and give i. 0 Express (-7 - 3 + 4)*(-7 + 7 + 4*x) + 0*x - x + 2*x + (-3*x + x + 0*x)*(0 + 3 - 2) + 3*x - 3*x - x as a + z*x and give z. -26 Rearrange (2 - 1 - 3)*(2*z + 2*z**3 - 2*z) + (-z + 0 + 0)*(-z**2 - 2 + 2) - 2*z**3 - 3*z + 3*z - z**3 + 0 + 0 to the form j + v*z**3 + y*z**2 + r*z and give v. -6 Express -18*u - u**2 + 33*u + 9 - 15*u in the form q*u**2 + l + t*u and give l. 9 Express (3 - 6 + 1)*(-y - y + 0*y + (1 - 1 - 2)*(y + 0*y + y) + 0*y + 4*y - 2*y)*(-1 + 1 - 3) as s + q*y and give q. -24 Express (-7 + 3 - 1)*(-2 - 1 + 0)*(-2 + v**2 + 2) as x*v + s + d*v**2 and give d. 15 Express 0 + 0 + 375*w - 393*w as x*w + z and give x. -18 Rearrange 0 - a + 0 + (-2 - 2 + 7)*(-5 - 2*a + 5) to k*a + b and give k. -7 Express (-11 + 11 - 26*a)*((4*a - 4*a - 2*a)*(-4 - 1 + 2) - 1 - 3*a + 1) in the form v*a + f*a**2 + o and give f. -78 Rearrange (-2 + 6 - 2)*(-3*w**4 + w**3 - w**3) + (w**2 - 3 + 3)*(-54 + 10*w**2 + 54) to x*w**2 + d + b*w + j*w**3 + g*w**4 and give b. 0 Express (2 - 3 + 3)*(-2*s - 3*s + 6*s) + 0*s + s + 2*s + 1 - 1 - 2*s + (-4 - 1 + 3)*(-2*s + s - 2*s) in the form v + l*s and give l. 9 Rearrange -149 - 10*s + 149 to the form w + o*s and give o. -10 Rearrange (-4 + t - t + 2*t)*(0 + 4 + 0) - t - 3*t + 2*t to the form u*t + r and give r. -16 Express -5*p**3 + 44*p**2 - 47*p**2 + 2 + 6*p**3 in the form y*p**2 + s + r*p + v*p**3 and give s. 2 Rearrange (-6*p + p + 3*p)*(-4 - p + 4) - 20*p**2 - 9*p**2 - 5*p + 4 + 32*p**2 to the form s*p**2 + d*p + x and give d. -5 Rearrange 7*y**2 + 10 - y - 15 + 12 to the form z*y + s + a*y**2 and give a. 7 Express -c**2 + 0*c + 0*c**3 + 6*c**3 - 3*c - 4*c**3 as k*c + v + g*c**3 + a*c**2 and give g. 2 Express 3*w + 2*w + 0*w + 2*w**2 + w**2 as i + p*w**2 + v*w and give v. 5 Express m**4 - 40 + 19 + 5 + 2*m**3 as z*m + v*m**3 + l + g*m**2 + j*m**4 and give l. -16 Rearrange 1 + 2194*h - 1 - 2174*h to the form m + w*h and give w. 20 Express -4 - 2*t**2 + 1 - 23*t**2 - t**2 as c + x*t + f*t**2 and give f. -26 Express -7*r + 3*r + 0*r - 10*r in the form n*r + q and give n. -14 Express 4*b + b**4 + 3 - 1 - b**3 - b**3 in the form j*b**4 + f + q*b**3 + h*b + z*b**2 and give h. 4 Rearrange -2*v**3 - 6*v**2 - v - v**2 - 2*v + 3*v**2 to p*v + i*v**2 + j*v**3 + o and give p. -3 Rearrange (3*v + v - 5*v)*(6*v**3 - 4*v**3 + 3*v**3 + (-3*v - 3*v + 2*v)*(2*v**2 + 3 - 3)) to the form j*v**3 + k*v**4 + o + z*v**2 + m*v and give z. 0 Express (4*o**2 - 1 + 1)*(5*o + 35 - 7*o - 36) in the form f*o**2 + y*o + u*o**3 + k and give u. -8 Rearrange -24*x + 1 - 1 - 37*x to the form h + v*x and give v. -61 Rearrange -14 + 7*b + 14 to w*b + x and give w. 7 Rearrange -w**2 - 8*w**4 + w**3 + w**3 - 1 - 7*w**4 to the form c*w**3 + r*w**4 + i*w + k + z*w**2 and give z. -1 Rearrange -6*u**2 + 4*u**2 + u**2 - 8*u**2 to the form z*u + y*u**2 + i and give y. -9 Rearrange 6 + 5*o - 6 - o + 2*o - 4*o + (3 - 6 + 2)*(3 + 2*o - 3) + 4*o - 3*o - 3*o + o + o - 4*o + 0*o - o + 0*o to l + y*o and give l. 0 Express -5*a**3 + 3*a**3 + 3*a**3 + (-4*a**3 + a**3 + 2*a**3)*(2 - 4 - 1) + 0*a**3 - 2*a**3 + a**3 as k + y*a + x*a**3 + j*a**2 and give x. 3 Rearrange (-z + 0*z - z)*(-4 + 3 + 0)*(0 + 1 - 2 + 10 + 10 - 13 + 7 - 3 - 2 + (2 - 1 - 2)*(-3 + 6 - 2)) to n*z + f and give n. 14 Rearrange (-z - 4*z + 3*z)*(-1 - 2 + 4)*(4*z**2 - 11*z**2 + 0*z**2) to the form r*z**2 + w*z + x + p*z**3 and give p. 14 Rearrange (2*j - 4*j + 0*j)*((-4 - 1 + 2)*(5 - 2 + 1) + (-1 + 5 - 2)*(2 - 5 + 2) + 1 + 2 - 1) to n*j + c and give n. 24 Express (-2 + 1 + 3)*(11*l - 10*l + 22*l)*(-l**3 + l**3 - l**3) in the form w*l + o*l**2 + f*l**4 + z*l**3 + i and give f. -46 Express 2*p**2 - 11*p + 2*p**2 - 3*p**2 as h*p**2 + f + j*p and give j. -11 Rearrange 67 + 7*q + q**2 - 5*q + 10*q - 66 + 2*q**4 to the form c*q**2 + o*q**4 + f*q + n + z*q**3 and give o. 2 Express (0*x + 5*x + 1 - 6*x)*(-3 + 8 + 6) as k*x + o and give k. -11 Express -29*b**2 - 30*b**2 + 1 - 11*b**3 + 59*b**2 as q*b**3 + r*b**2 + f*b + y and give y. 1 Rearrange 15*t + 4 + 0 - 4 to p + i*t and give i. 15 Rearrange 0 - 11*f + 0 + 5*f to k + d*f and give d. -6 Rearrange (4*d - 4*d**3 - 4*d)*(5*d - 5*d + d) - d**4 + d**4 - d**4 to the form n + i*d**3 + v*d**2 + t*d + s*d**4 and give s. -5 Rearrange (2*t**4 + 6*t**4 - 4*t**4)*(4 - 1 - 2) to the form f*t + c*t**3 + u*t**4 + p*t**2 + d and give u. 4 Rearrange (7*u**2 + 8*u**2 - 8*u**2)*(0 - 3 + 2) to the form f + p*u + g*u**2 and give g. -7 Express (2*l - 4*l - 2 + l)*(3 - 1 - 8) in the form o*l + j and give j. 12 Express (-7 + 27 - 7 - 2*k)*((4*k - 3*k + k)*(-k - 2*k + 5*k) - 4*k**2 + 3*k**2 + 0*k**2) in the form d*k + b + s*k**2 + v*k**3 and give s. 39 Express (2 - t - 2)*(0 + 0 - 2*t) + (0*t - t - 5*t)*(-2*t + 0*t + t) in the form c + h*t**2 + a*t and give h. 8 Rearrange 112 + 117 + 7*m - 3*m - 239 to l + k*m and give k. 4 Rearrange (-9*y - 5*y - 7 + 12*y)*(1 + 2 - 6) to v + c*y and give c. 6 Express -t + 1 - 6*t - 3*t - 2*t**3 + 0*t**3 as j*t**3 + w*t + c + n*t**2 and give w. -10 Express -c**3 - 7*c + 1 - c**2 + c**2 + c**2 as i*c**3 + o + v*c**2 + y*c and give v. 1 Rearrange 23 + 0*i**3 + 3*i**2 + 3*i**3 - 23 + i to d*i**2 + q*i**3 + t*i + a and give d. 3 Express (-2 + 2 - 1)*(-2*d + d + 2*d + (0 - 1 - 1)*(0*d - d + 0*d) + 3*d + 6*d + 0*d) as w*d + o and give w. -12 Express 5*f + 2*f + 2*f in the form x*f + y and give x. 9 Express s**3 + 5*s + s**3 - 4*s**3 - s**2 + 0*s**2 as w*s**2 + a*s + d + b*s**3 and give a. 5 Express -5*i**3 - i**4 + 2 + 11*i**3 + 3*i**4 - 5*i**3 in the form a*i**4 + q*i**2 + u + d*i + t*i**3 and give d. 0 Express (-22*g - 8*g - 3*g)*(3 - 3*g**2 - 3)*(g - g - 2*g) as a + l*g**4 + r*g**3 + y*g**2 + q*g and give l. -198 Rearrange (10*l**2 - 22*l**2 + 9*l**2 - 1)*(2 + 1 - 1) to n*l**2 + p + o*l and give p. -2 Rearrange (-3*x + 0*x + x)*(-39 + 39 + 41*x) + (5*x**2 - 2*x**2 - x**2)*(5 + 3 - 5) to the form j*x + k*x**2 + m and give k. -76 Rearrange 27*h + 1 - 7*h**2 - 18*h + 9*h**2 to v*h + n + a*h**2 and give a. 2 Express 7*f**2 - 17*f**2 - 4*f**2 - 13*f**2 as w*f**2 + h*f + i and give w. -27 Rearrange -10*u**3 + 14*u - 14*u + 2*u**3 - u**3 + u**3 + (-3*u + 3*u - 2*u**2)*(5*u - 4*u - 4*u) to a + w*u**2 + i*u**3 + f*u and give i. -2 Express -2*b**4 + 1
{ "pile_set_name": "DM Mathematics" }
e -2*m = -w*h - 20, -3*m = -5*m - 8. Calculate z(h). -10 Let t(q) = -q**2 - 17*q - 19. Let r = -1312 - -1295. Calculate t(r). -19 Let u(h) = h**3 + 2*h**2 + 3*h + 2. Suppose 5*s - 28 + 43 = 0. Determine u(s). -16 Let g(i) = -i**3 - 8*i**2 + 11*i + 10. Let x be -5 - (5 - (-4 + 5)). What is g(x)? -8 Let y(i) be the third derivative of i**5/30 - 17*i**4/24 - 23*i**3/6 + 522*i**2. Determine y(10). 7 Let t(y) = y**3 - 2*y**2 - y + 3. Suppose 5*p = -0*p + 25, 3*b = 4*p - 11. Let l(c) = 34*c**2 - 34*c**2 - 3*c**b. Let a be l(-1). Calculate t(a). 9 Let h(l) be the second derivative of -l**3/2 + 95*l. Suppose -4 = 3*z + 2. Determine h(z). 6 Let b be 7/1 + 2/(-2). Let v(g) = -2*g + 5. Let s(f) = -5*f + 16. Let h(t) = s(t) - 3*v(t). What is h(b)? 7 Let t = 84 - 82. Let i(p) = 9 + 0*p**2 + p**3 + 39*p - 47*p - 5*p**t. Determine i(6). -3 Suppose -21 - 7 = 3*c - 4*y, 5*y + 73 = -3*c. Let x(j) = j**2 + 17*j + 8. Determine x(c). -8 Let n(w) = -3*w**2 - 5*w + 3. Let k be (-2 + 1)*(10 + -8). Let i(u) = 7*u**2 + 9*u - 6. Let z(p) = k*i(p) - 5*n(p). Calculate z(-8). 5 Suppose 0 = -3*q - 0*o - 2*o + 82, -2*q + 52 = 4*o. Let y(z) = 3 + 11*z + 13*z - q*z. Let x be 0*1/2 + 2. Calculate y(x). -5 Let n(o) = 15 + 15 + o - 31. Determine n(6). 5 Let i(s) = -s**3 + 10*s**2 + 12*s - 10. Let t be i(11). Let h(z) = 7*z - 6*z - 6*z + z + z. What is h(t)? -3 Let u(v) be the third derivative of -v**8/6720 - v**7/1260 - v**6/720 - v**5/40 - v**4/6 - 8*v**2. Let b(p) be the second derivative of u(p). Calculate b(-3). 9 Let d(a) = -a + 6. Let o = -143 - -228. Let b = o - 79. Give d(b). 0 Let c(o) be the third derivative of -o**6/120 - o**5/60 - 13*o**2. Give c(0). 0 Let o(s) = s - 14. Let p(q) = q - 14. Let z(y) = 6*o(y) - 5*p(y). Determine z(9). -5 Let t(z) = -2*z + 1 - 7282*z**2 + 7281*z**2 + z. Determine t(1). -1 Let k = 6 - 4. Let h(m) = -2*m + 4. Let f be h(-4). Let b(j) = -2*j - j**2 + f - 12. Determine b(k). -8 Suppose -16*d = 2*t - 21*d + 27, -2*d + 9 = t. Let p(a) = 9*a**3 - 2*a**2 + a + 2. Determine p(t). -10 Let o = 2249 + -2256. Let y(g) = 2*g**3 + 15*g**2 + 6*g - 10. Give y(o). -3 Let z = 634 + -636. Let p(o) = -o - 2. Give p(z). 0 Let s(h) be the third derivative of h**4/6 + 5*h**3/2 - 3*h**2 + 2. Let d(n) = -9*n - 31. Let o(g) = -3*d(g) - 7*s(g). Calculate o(0). -12 Let h = -5 - -7. Let x(q) be the first derivative of -q**2/2 + q + 1693. Determine x(h). -1 Let i(s) = -7*s - 26. Let l be i(-4). Let w(t) = t**3 - 3*t**2 + 3*t - 1. What is w(l)? 1 Let z = 0 - 1. Let c(h) be the second derivative of 2*h - 1/2*h**2 + 2/3*h**3 + 6. Give c(z). -5 Let g(u) be the first derivative of -u**3/3 + 3*u**2 + 7*u + 1. Suppose -83 - 127 = -42*v. Give g(v). 12 Suppose -11*l = -6*l - 10. Let p(g) be the first derivative of 4 - g**l - 3*g + 2/3*g**3. Give p(3). 9 Let k(s) = s - 16. Suppose -62 = -4*x - 4*u + 6*u, -2*u - 10 = 0. Give k(x). -3 Let g(b) be the third derivative of -1/2*b**3 + 0 + 1/12*b**5 + 0*b + b**2 - 1/120*b**6 + 0*b**4. Give g(4). 13 Let s(m) be the first derivative of 6*m**2 + m - 48. Give s(1). 13 Let r(l) be the first derivative of 3*l**2/2 - 2*l + 5. Let n(c) = -5*c + 5. Let o(j) = -4*n(j) - 7*r(j). Suppose 46 = 5*k + 16. Calculate o(k). -12 Suppose 9*i + 121 = -1175. Let f be i/42 + 3/7. Let d(t) = -2*t - 1 - 2*t + 0. Determine d(f). 11 Let c(o) = -o**2 - 5*o + 2. Let l be c(-4). Let y(m) = -8*m + 2. Let v be ((-1)/(-2))/(5/(-10)). Let i(s) = s + 1. Let x(t) = v*y(t) - 6*i(t). Give x(l). 4 Let u be (-4)/(-2) - 2*-1. Let x be (-2 - -4) + 0/(-2) + 3. Let p(i) = 4*i - 9*i - i + x*i. What is p(u)? -4 Let b(p) = p**3 - 6*p**2 + 6*p - 2. Let g be b(5). Let r(l) = 0*l + l**2 - l - g*l. Determine r(3). -3 Suppose -5*s + 3*v - 45 = 0, -v = -0*v - 5. Let j(h) be the second derivative of h**4/12 + h**3 + 3*h**2/2 + 153*h. Determine j(s). 3 Suppose -x = -3, -4*i + 2*x = i + 16. Let w(p) = p**3 + 7*p**2 + 5*p + 1. Give w(i). 11 Let v(f) be the second derivative of f**4/12 - 5*f**3/2 + 33*f**2/2 - 23*f + 2. Give v(11). -11 Let q(y) be the second derivative of -y**4/12 - 5*y**3/3 + 7*y**2/2 + 8*y. What is q(-6)? 31 Let h(p) = -3*p**3 - 5*p**2 - 2*p - p - 7 + 10*p**3 - 8*p**3. Calculate h(-5). 8 Suppose 17*r - 19 + 19 = 0. Let b(h) = -h**2 + h - 21. Determine b(r). -21 Let d(l) = l + 1. Suppose -3*q + 6 = -3*i, -2 = -5*i - 3*q - 4. What is d(i)? 0 Let x(z) = z**3 - 3*z**2 + 2*z - 4. Let f = -11 - -17. Suppose -30 = -f*q + 3*q. Let r be 2/q - (-14)/5. Determine x(r). 2 Let s(k) = 2*k**2 - 5*k + 29. Let u(t) = -3*t**2 + 4*t - 36. Let q(y) = -4*s(y) - 3*u(y). Let x = -10 + 2. Determine q(x). -8 Let n(f) = -3*f + 4. Let a(r) = -r**3 + 4*r**2 + 9. Let j be a(5). Let y(b) = 5*b - 10. Let m be y(6). Let s = j + m. Calculate n(s). -8 Let h(d) = -d**3 + 7*d**2 - 8*d + 6. Let y be h(6). Let n = y - 0. Let m(j) = 3*j + 2. Let v(r) = 16*r + 11. Let q(f) = 11*m(f) - 2*v(f). Determine q(n). -6 Let o(d) = -3*d + 1. Let j be 6/4 + -2 + 357/(-6). Let q be 15*((-5)/j)/(1/4). Determine o(q). -14 Let y(v) = v**3 - 8*v**2 - 33*v + 2. Let w be y(11). Let x = -5 + 8. Let r(z) = x*z + w*z - 4*z + 0*z. Determine r(6). 6 Let m(d) be the second derivative of -d**4/24 + d**3/6 - 11*d. Let w(f) be the second derivative of m(f). Let h(y) = y. Let k(s) = h(s) + w(s). Calculate k(6). 5 Let c(i) = i**3 - 6*i**2 - 6*i - 6. Let r be c(7). Let p be r/(-6) - (-26)/12. Let z(f) = -3*f + 0*f**p - f**2 + 6*f + 6*f**2 + 1. What is z(-2)? 15 Suppose 0 = 3*q - 8 + 2. Let a(k) = -4 + 2 - 2 + q + k. Determine a(0). -2 Let m be 0 + 1 + -1 - -29. Let j(v) = -33 + 62 - m + 4*v - v**2. Determine j(4). 0 Let n(o) = 2*o - 1. Let i(q) = 7*q + 8. Let p(g) = i(g) - 3*n(g). Let s = 22 - 30. What is p(s)? 3 Let y = -15 - -12. Let r be (-6 + (-1 - -2))/1. Let j(f) = -f - 9. Let m(s) = -s - 6. Let q(v) = r*j(v) + 8*m(v). Calculate q(y). 6 Let n(j) = 2*j**3 - 8*j**2 + 10*j - 5. Suppose 2*o - 4*o + 2*k = -4, o + 13 = -4*k. Let l(y) = y**3 + y**2 + y - 1. Let u(x) = o*l(x) + n(x). What is u(8)? 4 Suppose 0 = 3*x + 4*x - 35. Suppose -x*b + 43 = -92. Let f be (-8)/20 - b/(-5). Let r(p) = p. Give r(f). 5 Let j(g) be the third derivative of g**4/24 + g**2. Let t = -74 + 76. Give j(t). 2 Let m(n) = n**3 - 4*n**2 + 2*n - 3. Let k = 21 - 12. Suppose -5*s - f + 15 = -k, s = 4*f - 12. Give m(s). 5 Let a(b) = 472 + 2*b - 944 + 473 - b**2. Let g = -1 - -3. Suppose -5*t = 4*y - 2*t - 22, g*y = -2*t + 12. Determine a(y). -7 Let i(h) = h**3 + 5*h**2 - 7*h - 3. Let l = 43 - 31. Let n(g) = -g**2 + 10*g + 17. Let s be n(l). Let q = s + 1. Calculate i(q). 3 Let q(p) = -p**3 - 4*p**2 + p + 1. Let m(w) = -w**3 - 2*w**2 - 2*w - 3. Let x be m(0). Give q(x). -11 Let a = 197/6 + -32. Let n(k) be the third derivative of a*k**3 + 0 - 1/24*k**4 + k**2 + 0*k. Determine n(0). 5 Let q = -7 - -1. Let s = q - -1. Let k(y) = 3 - 2*y + 3 + 4*y. Determine k(s). -4 Let b be (0 - -7) + 1*-3. Let g(p) be the first derivative of p**2 - p - 5. Let h(i) = i - 1. Let d(r) = b*h(r) - g(r). What is d(4)? 5 Let r = -11 - -17. Suppose -2*q - 2*u = u - r, -u = 0. Let y(f) = 3*f - 3. Give y(q). 6 Let z = 7 + -4. Let p(n) = 2*n**z - 2*n**2 + n**2 + n**3. Let c = -1740 + 1741. What is p(c)? 2 Let q(p) = 2*p**3 - p**2 + p + 1. Let l(m) = 2*m**2 - 6*m - 1. Let f(r) = -2*r - 3. Let a be f(-3). Let x be l(a). Determine q(x). -3 Let w be 7 - 5/((-10)/6). Let z be 40/6 + w/(-15). Let c(k) = 3*k + z + 2 - 6. What is c(-3)? -7 Let z be (-4)/22 + (112/11 - 6). Let t(i) = -3*i**2 + 7*i - 5. What is t(z)? -25 Let b(k) = 3*k - 6. Suppose 2*t = 3*t + 2. Let s be 3*(-3 + 1)/t. Let g be -2*6/s*-1. What is b(g)? 6 Let z(k) = -6*k - 1 - 4 - 4 - 3*k + k**2. Give z(8). -17 Let q be (5/(-3))/(1/3). Let p be 25/(-100) + 3/(-4). Let v(a) = -6*a - 11. Let b(f) = f + 1. Let y(z) = p*v(z) - 5*b(z). Calculate y(q). 1 Let r = 4 + -2. Let z(t) = 9 - r*t - 4 + 8*t - 5*t. Calculate z(-4). 1 Suppose -3*b - 4*j + 40 = b, -5*b = -2*j - 22. Let y(r) be the third derivative of -r**5/60 + r**4/8 + 2*r**3/3 + 14*r**2 - 41*r. What is y(b)? -14 Suppose -d - 1 = -6, 35 = -3*k + 4*d. Let b(r) = r**2 - 4*r + 1. What is b(k)? 46 Let a(c) be the third derivative of -c**4/12 + 7*c**3/6 + 7*c**2 + 6*c. Let t = -3 + 7. Let u = 9 - t. Give a(u). -3 Let m(j) = -2*j + 6. Let r(t) = -11*t + 13. Let x(q) = 5*q - 6. Let a(h) = 4*r(h) +
{ "pile_set_name": "DM Mathematics" }
in -422*h**2 - 56*h**3 + 52*h**3 + 422*h**2. -4*h**3 Collect the terms in 16 + 11 + 4 + 102*y - 31. 102*y Collect the terms in -12 - 3*s**2 - 15 + 34 - 3. -3*s**2 + 4 Collect the terms in -826*x + 2*x**2 + 1 - 421*x + 292*x. 2*x**2 - 955*x + 1 Collect the terms in -95*o**3 + 98*o**3 - 3210*o + 3210*o. 3*o**3 Collect the terms in -4631*h**3 - 4633*h**3 + 9257*h**3. -7*h**3 Collect the terms in 124 + 27*q + 167 - 291. 27*q Collect the terms in -4526*h**2 - 13440*h**2 - 10813*h**2 + 9291*h**2. -19488*h**2 Collect the terms in -71168 - 7*l**3 + 71168. -7*l**3 Collect the terms in -20*d**2 + 20*d**2 - 6*d**2 + 17*d**2 - 13*d**2. -2*d**2 Collect the terms in -61*s**2 + 243705*s - 243705*s. -61*s**2 Collect the terms in 12*c**3 + 7*c**3 + 1 + 2 - 423*c**2 - 21*c**3. -2*c**3 - 423*c**2 + 3 Collect the terms in -7*u - 42*u + 12*u + 16*u + 11*u + 11*u. u Collect the terms in -612*u**3 - 257*u**3 + 125*u**3. -744*u**3 Collect the terms in 76607 + 173*a**2 - 76607. 173*a**2 Collect the terms in 109*t**3 + 2*t**3 - 124*t**3. -13*t**3 Collect the terms in -18843*s - 12*s**2 - 14*s**2 + 9419*s + 9424*s. -26*s**2 Collect the terms in -5*z**2 - 22*z**2 - 19*z**2 - 39*z**2. -85*z**2 Collect the terms in -23*n**2 + 7026 - 7026. -23*n**2 Collect the terms in 66*x**2 + 67*x**2 + 66*x**2 + 58*x**2 - 271*x**2. -14*x**2 Collect the terms in 0*j - 19258*j**2 - j - 19246*j**2 + j + 38528*j**2. 24*j**2 Collect the terms in 79*z**3 + 86*z**3 - 4*z - 298*z**3 + 24*z**3. -109*z**3 - 4*z Collect the terms in 374*n**3 + 406*n**3 - 796*n**3. -16*n**3 Collect the terms in w - 204*w**3 + 5 - w + 247*w**3. 43*w**3 + 5 Collect the terms in 689 + 691 - 2079 + 699 + 436*r. 436*r Collect the terms in -3625*s - 3624*s + 7240*s. -9*s Collect the terms in 2*l**3 + 1771668105*l - 1771668105*l. 2*l**3 Collect the terms in -44292*i**3 - 3579*i**2 + 44300*i**3 + 3579*i**2. 8*i**3 Collect the terms in 129145679916*t - 129145679916*t + 2*t**2. 2*t**2 Collect the terms in -27*r + 29*r - 57 - 7*r - 2*r**2. -2*r**2 - 5*r - 57 Collect the terms in 35386*c**3 + 3753*c**3 - c + c. 39139*c**3 Collect the terms in -2103784*i**3 + 2103771*i**3 + 5 - 5. -13*i**3 Collect the terms in 6*y**3 + 1266 + 11*y**3 - 6*y**2 + 6*y**2. 17*y**3 + 1266 Collect the terms in -69*m**3 + 166*m**3 - 70*m**3. 27*m**3 Collect the terms in 1112 - 77*l**2 - 1112 - 47*l**2 + 125*l**2. l**2 Collect the terms in -9 + 2 + 176*d**2 - 2 + 9. 176*d**2 Collect the terms in 8*l + 41 - 41 - 1046*l**2. -1046*l**2 + 8*l Collect the terms in 682*f**3 + 7153*f**3 + 1840*f**3 + 2644*f**3. 12319*f**3 Collect the terms in 341*y**3 - 67*y**3 - 68*y**3 - 207*y**3. -y**3 Collect the terms in 2*f**3 + 0*f**3 + 28726 - 57447 + 28721. 2*f**3 Collect the terms in -34*u**2 + 7*u**2 + 4 - u**2 + 16*u**2 + 10*u**2. -2*u**2 + 4 Collect the terms in 34*s + 93*s + 23*s - 3 + 3. 150*s Collect the terms in -8172*r**2 - 8170*r**2 - 8167*r**2 + 24507*r**2. -2*r**2 Collect the terms in 214*y**2 - 517*y**2 + 293*y**2 + 2*y - 2*y. -10*y**2 Collect the terms in 3*j**2 + 36*j**3 + 20*j**2 + 1 + 1. 36*j**3 + 23*j**2 + 2 Collect the terms in -26 + 2*g**2 + 78*g**2 + g**3 - 14*g**2. g**3 + 66*g**2 - 26 Collect the terms in 5*f - 28*f - 9*f**2 - 44*f - 4*f. -9*f**2 - 71*f Collect the terms in -27554 + 13985 + 13569 - 4*c. -4*c Collect the terms in -179488*y - 179484*y + 358972*y + 6*y**3 - 4*y**3. 2*y**3 Collect the terms in 88538*j - 1 + 1 + 315547*j. 404085*j Collect the terms in -2*f + 2 - f - 13 + 6 + 5. -3*f Collect the terms in -532 - 5291*i + 532 + 545*i. -4746*i Collect the terms in 4 + 18*r - r - 48*r - 82*r. -113*r + 4 Collect the terms in 136 - 150 - t + 7*t + 2*t. 8*t - 14 Collect the terms in 7*d**3 - 152592 + 50862 - 4*d**3 + 50865 + 50865. 3*d**3 Collect the terms in 81*c**3 - 5*c**3 + 233*c**3. 309*c**3 Collect the terms in -824526*o + 412265*o + 412260*o. -o Collect the terms in 1 - 1 + 1072*x - 1768*x - 6572*x. -7268*x Collect the terms in -57 - 3*w**3 - 110 - 51 + 218. -3*w**3 Collect the terms in -110*c**2 - 152*c**2 - 188*c**2. -450*c**2 Collect the terms in 4290*w - 8583*w + 2*w**3 + 4293*w. 2*w**3 Collect the terms in 21065*v - 10521*v - 10523*v. 21*v Collect the terms in 240840*p - 240840*p - 225*p**2 + 230*p**2. 5*p**2 Collect the terms in 3315*r + 3090*r - 6012*r. 393*r Collect the terms in -107*g**2 + 219*g**2 - 111*g**2 - 140. g**2 - 140 Collect the terms in 0*h - 57*h**3 - 144*h**3 - 2*h - 22*h**2. -201*h**3 - 22*h**2 - 2*h Collect the terms in -24*n**2 - 4*n**3 + 4199 - 4199. -4*n**3 - 24*n**2 Collect the terms in -y**3 + 2*y**3 + 29169 - 10473 + 45630. y**3 + 64326 Collect the terms in -810 - 389*b**3 + 810. -389*b**3 Collect the terms in -32 - 32 + 62 + 272*u. 272*u - 2 Collect the terms in 3 + 5 - 139*q - 8 + 141*q. 2*q Collect the terms in -1193*y + 3 + 36*y**3 - 3 + 1197*y. 36*y**3 + 4*y Collect the terms in 835235 - 835177 - 3*i**3 + i**3. -2*i**3 + 58 Collect the terms in 4570*g**2 + 4590*g**2 + 4610*g**2 - 13733*g**2. 37*g**2 Collect the terms in c + 13306343 - 13306343. c Collect the terms in 1363*o**2 - 3955*o**3 + 3944*o**3 - 1363*o**2. -11*o**3 Collect the terms in -6*t - 160*t + 153*t. -13*t Collect the terms in -10*y - 495 + 75*y + 495. 65*y Collect the terms in -528*z**3 + 48*z**3 + 488*z**3. 8*z**3 Collect the terms in 5*n + 48829*n**2 + 0*n + 0 - 48816*n**2 + 0. 13*n**2 + 5*n Collect the terms in 56*o**2 - 16 - 22*o**2 - 64*o**2 + 488*o**2. 458*o**2 - 16 Collect the terms in -6 - 176*b**2 + 164*b**2 + 6. -12*b**2 Collect the terms in 11*r**2 - 7*r**3 - 30*r**2 - r**3 - 202*r**2 + 4*r**3. -4*r**3 - 221*r**2 Collect the terms in 5*t**3 - 244*t**2 + 95*t**2 + 96*t**2 + 53*t**2. 5*t**3 Collect the terms in 32*n - 14*n - 11 + 8 + 7. 18*n + 4 Collect the terms in 67*g + 104*g + 6*g + 187*g + 39*g. 403*g Collect the terms in 757 + 526 + 655 + 2*u**2. 2*u**2 + 1938 Collect the terms in -424*t**3 + 396*t**3 + 11540*t**2 - 11540*t**2. -28*t**3 Collect the terms in -623*k + 277*k + 429*k. 83*k Collect the terms in -56706*x**3 + 56707*x**3 + 81*x - 81*x. x**3 Collect the terms in 309*q - 152*q - 157*q + 64134*q**2 - 64140*q**2. -6*q**2 Collect the terms in 4 - 3 - 523*o**3 - 74*o + 1. -523*o**3 - 74*o + 2 Collect the terms in 692*d**3 + 572*d**3 + 9*d**3. 1273*d**3 Collect the terms in 81 - 81 - 2900*y + 2900*y + 2*y**3. 2*y**3 Collect the terms in -873*c - c**2 + 0*c**2 - 1001*c. -c**2 - 1874*c Collect the terms in 311*h - 344*h + 709*h + 561*h. 1237*h Collect the terms in 10507*v**3 - 5251*v**3 - 5248*v**3. 8*v**3 Collect the terms in -40*k - 3*k + 11*k - 61*k - 29*k. -122*k Collect the terms in -15269957*m**2 + 15269957*m**2 - 4*m**3. -4*m**3 Collect the terms in 23 - 126*z - 23 + 491*z**3 + 128*z. 491*z**3 + 2*z Collect the terms in 1585*m**2 + 82*m - 82*m + 51*m**2. 1636*m**2 Collect the terms in 277*c**2 - 76*c**2 - 79*c**2 - 125*c**2. -3*c**2 Collect the terms in -28*a**2 + 10*a - 6*a + 22*a**2 + 2*a**2 + 9*a. -4*a**2 + 13*a Collect the terms in -1 + 6161*s + 1 - 19420*s. -13259*s Collect the terms in -284*m**2 + 2*m**3 - 209*m**2 + 172*m**2. 2*m**3 - 321*m**2 Collect the terms in -76*p - 75*p - 227 + 220*p - 68*p. p - 227 Collect the terms in -560*w + 1561*w - 443*w - 561*w. -3*w Collect the terms in 10581 + 2*c**3 - 25*c - 10581. 2*c**3 - 25*c Collect the terms in -1423 + 2805 - 1382 - 247*n. -247*n Collect the terms in 59*z + 24 + 2*z**2 - 24. 2*z**2 + 59*z Collect the terms in 179 - 53*c + 176 - 355. -53*c Collect the terms in -8 + 8 + 32801*c. 32801*c Collect the terms in 66*x - 10*x + 5 - 8*x + 27*x. 75*x + 5 Collect the terms in 26 + 120 - 146 + 4*l**3. 4*l**3 Collect the terms in 1319*u**2 + 1338*u**2 - 2590*u**2 + 2. 67*u**2 + 2 Collect the terms in 79*x + 4*x + 7*x + 18*x. 108*x Collect the terms in -5*f**2 + f**3 + 653*f + 2 + 6*f**2 - 2. f**3 + f**2 + 653*f Collect the terms in 149663*w**2 + 156*w**3 - 149663*w**2 - 134*w**3. 22*w**3 Collect the terms in 628*y + 627*y + 425*y - 1402*y. 278*y Collect the terms in -11*z - 61*z + 63*z. -9*z Collect the terms in 11*p + 967 - 973 + 3*p. 14*p - 6 Collect the terms in 31*a + 39*a + 19*a + 29*a - 136*a. -18*a Collect the terms in 6*v**2 + 773*v - 773*v - 10*v**2 + 8*v**2. 4*v**2 Collect the terms in 247331149 - 247331149 - 20*c**2 - 7*c. -20*c**2 - 7*c Collect the
{ "pile_set_name": "DM Mathematics" }
l in the form x*l**3 + z*l**2 + m*l + j and give x. -2 Express -213 + 200 - 3*k**3 + 3*k**2 - 5*k**2 in the form r*k**3 + a + t*k**2 + q*k and give r. -3 Express -3*z**2 + 5*z**2 - z**2 + (z + z - z)*(5*z - 3*z - 4*z) + (-z + z + 2*z)*(-4*z - 3 + 3) + 0*z + 2*z**2 + 0*z in the form l*z + x + g*z**2 and give g. -7 Express 0*g + 0*g - 2*g**2 - 4*g + 4*g - 7*g**2 + (1 - 3 + 3)*(-2*g**2 + g**2 - g**2) as s + o*g**2 + z*g and give s. 0 Express -4*r**3 + 6 + r**4 - 5 + 0*r**4 + r as g + q*r + d*r**3 + s*r**4 + n*r**2 and give d. -4 Rearrange -2*w**4 + 3*w**2 - 4*w**2 + 558*w - 588*w - 2*w**3 to the form y*w**4 + h + x*w**3 + r*w + i*w**2 and give y. -2 Express 17*n**2 + 27*n**2 - 18*n**2 + 27*n**2 as w*n**2 + d + o*n and give w. 53 Rearrange -4*r**2 - 1222 + 1234 + 3*r**2 + 0*r**2 to v*r**2 + k + d*r and give v. -1 Express ((y**2 - y**2 - y**2)*(-2*y - 4*y + 4*y) - y + y + y**3 + y**2 - y**2 + 2*y**3)*(-1 + 2 + 3) as w*y**2 + s*y + f + k*y**3 and give s. 0 Express (0*l**2 - 2*l**2 + 3*l**2)*(-2*l**2 - 3*l**2 + 6*l**2) + (1 - 1 - l**3)*(3*l + 2*l - 3*l) as o*l**4 + t*l + x*l**3 + a*l**2 + p and give o. -1 Rearrange -3*k**4 + k**4 + 2 - k + 2*k**4 - 2*k**2 - k**4 to b*k**4 + u + w*k + n*k**3 + c*k**2 and give w. -1 Rearrange 2 - 2*v**2 + 0*v**2 - 4 - v**4 to g*v + b*v**2 + q + t*v**4 + p*v**3 and give q. -2 Express 0*z**2 - z**4 - 3*z**2 - z**3 + 4*z**2 - 3 + 2 in the form g + d*z**4 + k*z + q*z**2 + p*z**3 and give p. -1 Rearrange (-1 - 4*f - 2*f + 5*f)*(0*f + 4*f + 0*f) to z*f + q*f**2 + m and give z. -4 Rearrange (0*u - 2*u + 5*u)*(-25*u - 5*u - 6*u)*(-2 - 1 + 5) to i*u**2 + j + f*u and give i. -216 Express -4*o**2 - 14*o**2 - 8*o + 8*o as p*o**2 + r*o + h and give p. -18 Rearrange (1 + 1 - 1)*(4*t - 25*t - 2*t) - 3 - 2*t + 3 + (t + 0 + 0)*(-1 + 0 - 1) to h + m*t and give m. -27 Rearrange (-4*i - 2*i + 5*i)*(-7 + 11 - 3 - 3*i - 3 + 2*i + 3 + (-4 + 3 - 1)*(-1 - 2*i + 1)) to b*i**2 + t + w*i and give b. -3 Express (4*h - 2*h + h)*(-5 + 2 + 2)*(-6*h**3 - 7*h**3 - 9*h**3) in the form k*h + w*h**4 + y*h**3 + n*h**2 + f and give w. 66 Express i**3 + 18*i**3 - 2*i**4 - i - i**3 + i**4 in the form d*i**4 + a + o*i**2 + f*i + w*i**3 and give w. 18 Express (2 + 0 + 1)*(3*i + 3*i + 12*i)*(-1 - 1 + 1) in the form a + v*i and give v. -54 Express 16*q**2 - 3*q**2 + 7*q**2 as h*q + o*q**2 + y and give o. 20 Rearrange -3*f - 29 + 4*f + 5*f**3 - 6*f**3 to b*f + m + t*f**2 + w*f**3 and give m. -29 Rearrange 4 - 1 + 0 - 2*x**2 + x**2 to the form q*x**2 + l*x + k and give k. 3 Rearrange -16 + 34*x + 27 - 11 to w*x + v and give w. 34 Rearrange 0*g**2 + 2*g**3 - 4*g - g**2 + 0*g**2 - 22*g**4 + 20*g**4 to f*g**4 + m*g**2 + n*g + z + x*g**3 and give z. 0 Express 3*p**3 + 3*p - 3 - 5*p**3 - 4*p as x*p + m*p**2 + o + z*p**3 and give x. -1 Express 213 + 4*z - 213 in the form v + j*z and give j. 4 Rearrange -y**2 + 1 + 17*y**4 - y**2 - 3*y - 3*y**3 - 15*y**4 to the form n*y + d + q*y**4 + f*y**2 + v*y**3 and give v. -3 Rearrange -y + 7*y**2 - 2*y**3 + 3*y**2 + 2*y + 0*y to the form a + p*y**3 + s*y**2 + t*y and give s. 10 Rearrange (6*s - 7*s + 9*s)*(5 - 1 - 1)*(s + 4 - 4) to the form x + j*s**2 + y*s and give j. 24 Rearrange -24 + 24 + 53*a to u + t*a and give t. 53 Rearrange -22*u - 7*u + 16*u to the form k + b*u and give b. -13 Express -9*w**3 + 5*w**3 - 7 + 2*w**3 in the form j*w**3 + p*w + g*w**2 + x and give x. -7 Express (h + 2 - 2)*(19*h + 21*h + 14*h) in the form b + n*h + o*h**2 and give o. 54 Express -2 + 2*a**2 + 8 + 22 - 10 in the form k + z*a**2 + q*a and give k. 18 Express (1 - 1 - 3*d)*(-32*d**2 - 60*d**2 + 34*d**2 - 30*d**2) as x*d**3 + w*d + l + p*d**2 and give x. 264 Rearrange 165*v + 9*v**2 - 165*v to y + k*v + u*v**2 and give u. 9 Express 2*d**3 + 2*d**2 - 2*d**2 + 4*d**2 + 2 - d**4 + 0*d**2 as i*d**3 + g*d**4 + n + u*d + t*d**2 and give t. 4 Rearrange -2*z**4 - 9*z**3 + 5*z**3 + z - 17 + 4*z**3 + 2*z**2 to the form b*z**4 + t*z + f + r*z**2 + a*z**3 and give b. -2 Rearrange -11*x + 3 - 3 + 56*x to g*x + f and give g. 45 Express (0 + 2 - n + 0*n)*(12*n + 8 - 8) in the form h*n + m + f*n**2 and give f. -12 Rearrange -3*p**2 - 19*p**4 + 16*p**4 - 2*p + 8*p**2 to the form r*p**4 + s*p**2 + b*p + i + n*p**3 and give s. 5 Express -38 + 3*b + 38 - 3*b**2 in the form l*b + i + p*b**2 and give l. 3 Express 2*q**3 - q**3 + 2*q**3 + (-q + 9 - 9)*(0 - 1 + 2*q**2 - 2) as h*q + m + a*q**3 + v*q**2 and give a. 1 Rearrange (8*r - 2*r + 9*r + (5 - 2 - 1)*(6*r - r - 4*r))*(0*r**2 + r**2 - 3*r**2) to the form v + x*r**2 + k*r**3 + d*r and give k. -34 Rearrange (2*x - x + 0*x)*(x**2 + x - x) + (-32 - 22*x + 32)*(x**2 + 2*x**2 - x**2) to s*x**2 + q*x + m + d*x**3 and give d. -43 Rearrange 7*k**4 + 0 - 3 + k - 10*k**4 to the form a + i*k + l*k**3 + y*k**2 + s*k**4 and give s. -3 Express 59*y**3 + 4 + 55*y**3 - 112*y**3 + 6*y - 1 as r*y**2 + j*y + p*y**3 + x and give j. 6 Express -22*l + 4*l - 6*l - 7*l as c*l + i and give c. -31 Rearrange 7*y**3 - 7*y**3 - 6*y**4 + (4*y - y - 4*y)*(0*y**3 + 5*y**3 - 4*y**3) to j*y**3 + w*y**4 + f*y**2 + q + x*y and give w. -7 Express (i - 3*i + 4*i)*(-6 + 1 + 2) + 13*i + 11*i - 47*i in the form b*i + h and give h. 0 Rearrange 49*b - 42*b - 25*b to the form f*b + j and give f. -18 Express 3 - 29 - 903*i**2 + 901*i**2 as n*i**2 + z + v*i and give z. -26 Express -4*w + 0*w + 3*w + w + 2*w - 6*w + (0*w + 5*w - 4*w)*(4 - 4 - 1) - 4*w + 2*w + 5*w in the form c*w + q and give c. -2 Rearrange -2*l + 3*l + 2*l + l to p*l + d and give p. 4 Rearrange (-4*d - 20*d - 1 - 11*d)*(-2 + 2 + 2*d**3) to q*d**3 + z*d + l + s*d**2 + v*d**4 and give v. -70 Rearrange (-7*y - 38*y**2 + 4*y**2 + 5*y)*(4*y**2 - 3*y**2 + 2*y**2 + (-y + 3*y + 0*y)*(-2 + y + 2)) to the form f*y + r + j*y**2 + t*y**4 + k*y**3 and give t. -170 Rearrange 0*b**2 + 0*b**2 - 11*b**2 to the form x*b + t + d*b**2 and give d. -11 Rearrange -o**3 - 2 - 6*o**2 - 5*o**2 - 3*o**3 + 3*o**3 to x*o**2 + w + n*o**3 + h*o and give w. -2 Rearrange 4*z**2 + 2 + z**2 - 4*z**2 + 2*z**2 - 3*z to u*z**2 + h*z + v and give h. -3 Rearrange (-39*h + 26*h + 19*h)*(1 - 2*h**2 + h - h) to the form p*h**2 + f*h + r*h**3 + z and give r. -12 Rearrange (-3*z + 2*z + 3*z)*(2 + 3 + 0)*(-4 - 12 - 1) to the form x + n*z and give n. -170 Express (-6 - 2 + 5)*(-6*o + 1 - 1) in the form s + c*o and give c. 18 Express 1 + 2*p**2 - 15*p - 5*p - 10*p + 36*p + 2*p**3 as y*p**3 + k + b*p**2 + n*p and give n. 6 Express (o - 2 + 2)*(0 + 1 + 1)*(2 - 2 + 3) in the form t*o + f and give t. 6 Rearrange (0*d**2 - d**2 + 3*d**2)*(112*d - 60*d + 101*d + 40*d) to the form k + o*d**3 + g*d + w*d**2 and give o. 386 Express (3*r**2 - 4*r**2 - r**2)*(14*r - 3*r + 3*r) + r**2 - 2 - 6*r**2 + 7*r**2 + 8*r**3 in the form l*r**2 + d + c*r**3 + w*r and give c. -20 Rearrange (4*g + 10 - 10)*(16*g**2 + 7*g**2 - 8*g**2)*(-1 + 1 + 2*g) to n + s*g + p*g**2 + h*g**3 + z*g**4 and give z. 120 Rearrange -117 - 35*f + 117 to the form m + q*f and give q. -35 Rearrange -4*j - j - 3*j - 2 - 3*j**2 + 10*j to o*j + t + m*j**2 and give o. 2 Express (-3 - t**2 + 3 + (-1 - 3*t + 1)*(t + t + 0*t))*(0*t**2 + 19*t**2 - 4*t**2) in the form u*t**2 + d + b*t**3 + r*t**4 + j*t and give r. -105 Rearrange (8*x - 3*x + x)*((2*x + 2*x - 3*x)*(5 - x - 5) - 2*x**2 - 2 + 4 + x**2)*(-2*x - 3*x + 4*x) to q*x**2 + g*x**3 + l*x + j + s*x**4 and give q. -12 Rearrange d + 4*d**4 - 2*d**4 + d - d**2 to the form w*d**4 + r*d + t*d**3 + a*d**2 + m and give r. 2 Express 9*x + 14 - 14 - 23*x in the form u + f*x and give f. -14 Express -9*w - 8*w**2 + 2*w**2 + 7*w in the form p + f*w**2 + l*w and give f. -6 Rearrange -99 + 51 + 48 - 39*g to i + d*g and give d. -39 Rearrange 0*n**2 + 3 - n**2 + 0*n**2 to the form c*n**2 + l*n + f and give f. 3 Rearrange o**2 + 4*o**2 + 0*o**2 to b*o + m + q*o**2 and give b. 0 Express -2 + 4*v**2 + 3 - 1 as z + m*v + j*v**2 and give z. 0 Rearrange (-2 + 3 + 1 + (-1 - 1 + 0)*(4 + 1 - 1))*(o - 2*o - o) + 11 + 2*o - 11 to the form m + b*o and give b. 14 Express (n**2 - 2*n**2 + 4*n**2)*(-255 + 255 - 16*n) in the form i*n**2 + j*n + r*n**3 + k and give r. -48 Express 2214 - 2214 + 62*w**2 + (-3 + 0 + 1)*(4*w**2 + 2*w**2 - 4*w**2) as j*w**2 + n + f*w and give j. 58 Rearrange (0*t**2 - 3*t**2 + t**2)*(-23*t + 26*t**2 + 23*t) to the form v*t**4 + n*t**2 + z*t + o +
{ "pile_set_name": "DM Mathematics" }
- 8*t - 4. Let h(g) = -7*g**3 - 8*g**2 - 9*g - 4. Let q(z) = 5*h(z) - 6*x(z). Give q(w). 4 Let l = -48 + 63. Let y(b) = -5 + b - l*b + 11*b. Calculate y(-6). 13 Let g(a) = -3*a**2 - 7. Let y be g(5). Let z = y + 89. Let f(c) = c**3 - 5*c**2 - 9*c - 10. Determine f(z). 25 Let g(r) = 39*r**2 - 1 - 26*r**2 - 5 + 29 - r**3 + 23*r - 22*r**2. What is g(-11)? 12 Suppose -855 + 201 = 218*v. Let a(d) = -d**2 + 4*d - 1. Determine a(v). -22 Suppose 1652 = -86*u + 100*u. Let l be ((-59)/u)/((-1)/(-2)). Let a(i) = 4 + 3*i - 2*i - 5. Determine a(l). -2 Let v(i) = -i**2 - 4*i + 21. Let x be v(-10). Let n = x + 39. Let m(j) = -6*j**2 + 4*j**3 + 7*j**2 - 6*j**3 + 14 - j + 3*j**3. Give m(n). 14 Let t(w) be the third derivative of 0*w + 4*w**3 + 1/120*w**6 + 13 - 1/24*w**4 + 2*w**2 + 0*w**5. Give t(0). 24 Suppose -2*k - 4*m = -4, 4*k - 6*m + 7*m = 8. Let q(o) = -63*o + 66*o + 0*o**2 - k + o**2. Let j be (4/8)/(2/(-8)). Determine q(j). -4 Let z(s) = 4*s**2 + 49*s + 141. Let w(f) = -5*f**2 - 51*f - 147. Let b(i) = 2*w(i) + 3*z(i). Calculate b(-19). -4 Suppose -7*n + 6379 = 6330. Let t(v) be the first derivative of 4*v + 1/2*v**2 + n. Determine t(-4). 0 Let c(p) = 59*p + 118 - 30*p - 14*p - 204. What is c(6)? 4 Let f(t) be the second derivative of -t**5/60 - t**4/4 + 5*t**3/6 + 43*t**2/2 + 6*t - 1. Let j(n) be the first derivative of f(n). Give j(-6). 5 Let c = -380 - -383. Let k(b) = 0*b**c - 8*b**2 - 1431 - b**3 + 1430 - 4*b. Determine k(-7). -22 Let w(x) = -x + 1. Let u(r) = 10*r - 55. Let t(s) = u(s) + 6*w(s). Determine t(14). 7 Let u(r) be the second derivative of -r**4/4 + 17*r**3/3 + 25*r**2/2 - 22*r. Let v(m) = 2*m**2 - 22*m - 17. Let h(i) = 5*u(i) + 7*v(i). Give h(16). 6 Let g(x) = 3*x**2 + 7*x - 13. Let z be (13 - (26 + -19))*((-3)/9 + 1). Give g(z). 63 Let d(j) = 2*j + 5 - 3*j + 2*j + j. Let w(k) = -4*k - 10. Let m(g) = 7*d(g) + 4*w(g). Suppose 2*u - 12 = -c, 2*u + 53 = 4*c + 45. Determine m(c). -13 Let u be (1 - 2)/(20/(-15) - -1). Suppose 0 = -3*s - 4*b + 9, 8*s - 6*s - 5 = -u*b. Let h(t) = -t**3 + 7*t**2 + t - 5. Determine h(s). 2 Let x(k) = -k**2 - 16. Let h = -401 + 711. Let w = 310 - h. Give x(w). -16 Let n(k) = -2*k**2 + 7*k - 2. Let p be 2219/147 + -11 - 2/21. Suppose 0 = 3*h + p*w - 15, 2*w + 10 = 7*h - 5*h. What is n(h)? -17 Let r(v) be the second derivative of -1/6*v**3 + 86*v - 2 + 0*v**2 - 1/20*v**5 + 1/3*v**4. Determine r(5). -30 Let f(h) = -h**2 + 8*h - 16. Let y be f(5). Let x(b) = b**2 - 9*b + 11. Let s be x(8). Let q(k) = 4*k**s - 22*k - 2*k**2 + 9*k + 2*k + 10*k. What is q(y)? -5 Suppose 0 = 50*j - 1902 + 2452. Let p(i) be the third derivative of i**4/24 + 13*i**3/6 + 3*i**2. Calculate p(j). 2 Let x(s) = -9*s + 51 + 55 - 170 + 59. Calculate x(2). -23 Suppose -2*j = -2*l - 2, -j + 22*l = 18*l + 2. Let t(o) = o**3 + 2*o**2 + o - 6. What is t(j)? 12 Let g(r) be the second derivative of -r**5/20 + r**4/12 - r**3/6 - r**2/2 - r. Let k be 0*(32 + -13)/(-57). What is g(k)? -1 Suppose -17 = 6*r - 2*r + 5*i, -4*i = 20. Suppose -2*x = -2 - r. Let z(p) = 14 - p + x*p - 16. Calculate z(-2). -4 Suppose -l = 17*i - 14*i, -i = -5*l. Let j(b) be the second derivative of i*b**2 + 7/6*b**3 - 10*b + 0. Calculate j(1). 7 Let a(r) be the second derivative of -r**3/3 - 8*r**2 - 963*r - 3. Let x = 13 + -24. Determine a(x). 6 Suppose 6*u - 11*u + 2*w - 22 = 0, 24 = -5*u + 4*w. Let l(g) = -4*g + 13. Give l(u). 29 Let n(j) be the first derivative of -2*j**3/3 - 11*j**2/2 - 6*j + 8446. Give n(-4). 6 Suppose 0 = 3*f - 4*v - 1654, v = f - 2*f + 549. Let y = f + -557. Let c(h) = h**3 + 6*h**2 - 6*h + 7. Determine c(y). 0 Let g = 21248 + -21258. Let w(r) be the third derivative of r**6/120 + r**5/6 + 5*r**3/6 - 5*r**2. Calculate w(g). 5 Let o(q) = -q**2 + 5*q + 9. Suppose -8*i + 13 + 43 = 0. Let b(p) = -5*p + 35. Let c be b(i). Suppose w + 4 - 11 = c. Determine o(w). -5 Suppose -23 - 1 = -8*s. Let l(n) = 3*n - n**s + 13*n - 7*n**2 + 6 - 19*n + 4*n. Calculate l(-7). -1 Let r(y) = y**2 - 7*y - 5. Let z(f) = 4*f + 3. Let g(v) = 4*r(v) + 7*z(v). Suppose 119*w = 234 + 107 + 16. What is g(w)? 37 Suppose 560 = h + 4*h - 5*m, -110 = -h - m. Let z(o) = -h*o**2 + 228*o**2 - 1 - 113*o**2. What is z(-2)? 15 Let o(u) be the second derivative of u**4/4 - 8*u**3/3 + u**2/2 - 8538*u. Determine o(7). 36 Let r(q) be the second derivative of q**6/720 - q**5/60 - 26*q**4/3 - 4*q + 5. Let v(s) be the third derivative of r(s). Calculate v(-4). -6 Let w(q) be the second derivative of q**6/40 + q**5/60 - q**3/3 + 70*q**2 - 138*q. Let r(g) be the first derivative of w(g). Calculate r(2). 26 Let w(z) be the third derivative of 23*z**6/120 - z**5/30 - z**4/12 + z**3/2 - 4*z**2. Determine w(1). 22 Suppose -c = -2, 5*p + c = -2 + 4. Suppose -5*q + 12*q - 14 = p. Let b(i) = 7*i - 2*i + q*i + 4*i**2 - 5*i**2 - 4. Calculate b(7). -4 Let w(y) = -2*y**2 + 27*y - 12. Let p(z) = z**2 - 13*z + 5. Let a(b) = -7*p(b) - 3*w(b). Let f be 9*(-3)/4*(-4)/3. Determine a(f). 10 Let y(u) = -59*u + 1648. Let i be y(28). Let b(m) = m**3 + 3*m**2 - m - 1. Determine b(i). -13 Let i(x) = x**2 - 6*x - 1. Suppose 5*t + 0*t = 5*z - 50, -2*z - 7*t = 25. Let q = 29 + -12. Suppose q*y + z = 18*y. Calculate i(y). -6 Suppose -2*x = 5*l - l + 2, 3*l = -x + 1. Let i be (119/(-35) - (-2)/5) + 5. Let n(h) = -h - h + 1 - 82*h**2 + 85*h**2 + 0 - h - i*h**3. What is n(l)? -9 Let b(k) = -k**3 + 4*k**2 + 2*k + 16. Let j be b(5). Let a(g) = g**2 + g + 1. Let n(z) = z - 1 - 2*z + 0*z + 0*z. Let s(r) = j*a(r) + 2*n(r). Calculate s(2). 1 Let y = -5 - -10. Let f(a) be the second derivative of a**5/120 + a**4/24 - 161*a**3/6 - 119*a. Let m(i) be the second derivative of f(i). What is m(y)? 6 Let c(b) be the third derivative of -b**5/30 - 2*b**3/3 + 5*b**2 + 30*b. Determine c(4). -36 Let v(j) = 2251*j**2 - 1130*j**2 - 4*j + 3 - 1120*j**2. Let u = 3 - 0. Calculate v(u). 0 Let a(s) = -77*s**2 - 16*s**2 - 76600 + 76602 - 2*s. Give a(1). -93 Let n(g) = 4*g + 25. Let z(y) = -2*y - 12. Let c(h) = -3*n(h) - 7*z(h). Let s(k) = -k**3 - 118*k**2 + 358*k - 614. Let q be s(-121). Give c(q). -9 Let k(f) be the third derivative of f**4/24 + 2*f**3/3 - 8*f**2 - f. Suppose 0 = -4*i + 7 + 5. Let q be (-5 - (-5)/(-2))*4/i. Calculate k(q). -6 Suppose 10*k + 65 = -145. Let t(q) = q**2 + 21*q - 2. Calculate t(k). -2 Let c(r) = 2*r - 4. Let z be 0 + -4 + (-132)/(-2). Suppose -z*m + 67*m + 245 = 0. Let d = m + 56. Give c(d). 10 Let h(g) = 5 - 4*g**2 - g**3 + 0*g + 2*g + 0*g. Let j = -60796 + 60792. Determine h(j). -3 Let g(t) = t**2 + 7*t + 1. Let w be g(-7). Let r(i) = -2*i**3 - 10*i**2 + 2. Let o be r(-5). Let l(z) = 10*z**o + 1 - w - 13*z**2 + 2*z - 2. What is l(2)? -10 Let p(m) = 11*m - 14. Let u(g) = 42*g - 52. Let a(v) = -23*p(v) + 6*u(v). Calculate a(7). 3 Suppose 0 = -2*d + 501 - 487. Let p(w) = w**2 - 8*w + 19. Determine p(d). 12 Let v(n) = 4*n - 4. Let x(y) = -y - 1. Let o(b) = -v(b) - 5*x(b). Suppose 18*z = -0*z. What is o(z)? 9 Let f be 6*(-2)/(-7) - (-6)/21. Let r(u) = 5*u + f + 0*u - 12 + u**2 + 4*u. Give r(-10). 0 Let c be ((-1)/(-2))/(6/(-96)). Let w(a) = 155*a - 72. Let d(f) = -68*f + 31. Let m(o) = 16*d(o) + 7*w(o). Give m(c). 16 Let w(o) = o + 273*o**2 - o - 286*o**2 - 28*o**2 - 5 + 4*o. Calculate w(1). -42 Let v(o) = 8*o**2 - 2*o + 1. Suppose 268 - 80 = 4*q. Suppose 4*m = -7 + q. Suppose 4*u + 2*z - 10 = 0, -m = 2*u - 2*z - 2*z. What is v(u)? 7 Let j(v) be the third derivative of v**4/12 + v**3/6 + 17*v**2 + v. Let m(b) = 12*b + 12. Let z(n) = 5*j(n) - m(n). Calculate z(-5). 3 Let r(x) be the first derivative of -x**3/3 + 69*x**2/2 + 65*x - 8519. Calculate r(70). -5 Let n(i) = -i. Let z(k) = 1. Let o(p) = n(p) - 6*z(p). Suppose 3*a + 4*c + 200 = 0, a - 9*c + 6*c = -84. Let h = -67 - a. Calculate o(h). -11 Let t(r) = 2*r**2 + 14*r + 26. Let d be t(-4). Let l(k) = 21*k + 6. What is l(d)? 48 Suppose 5*c + 74 = 3*z, -5*z + 145 = 2*c - 30. Let k be (-22)/z + (-22)/(-6). Let i(a) = 5 + 5*a**k + 24*a - 4*a**3 - 8*a**2 - 18*a. Give i(7). -2 Suppose -8*v = -10*v + 68. Let f = -30 + v. Suppose -5*b = 3*y - 10, -b = f*b - 5*y - 10. Let d(l) = -l + 1. Give d(b). -1 Let i(u) = -u - 8. Suppose 2714 = 24*m - 718. Let w = m - 143. Give i(w). -8 Let u(x) = -387 - 8*x - 209 + 487. What is u(-16)? 19 Let i(z) = z**3 - 8*z**2 - 12*z + 19. Suppose 11*d - 1842
{ "pile_set_name": "DM Mathematics" }